Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(2,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 62.6 | ||
Character | \(\chi\) | \(=\) | 75.62 |
Dual form | 75.2.l.a.23.6 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10232 | − | 0.174590i | 0.779457 | − | 0.123454i | 0.245987 | − | 0.969273i | \(-0.420888\pi\) |
0.533470 | + | 0.845819i | \(0.320888\pi\) | |||||||
\(3\) | 1.30541 | + | 1.13838i | 0.753679 | + | 0.657243i | ||||
\(4\) | −0.717489 | + | 0.233126i | −0.358745 | + | 0.116563i | ||||
\(5\) | −1.37300 | − | 1.76490i | −0.614025 | − | 0.789286i | ||||
\(6\) | 1.63773 | + | 1.02694i | 0.668599 | + | 0.419248i | ||||
\(7\) | −0.882568 | − | 0.882568i | −0.333579 | − | 0.333579i | 0.520365 | − | 0.853944i | \(-0.325796\pi\) |
−0.853944 | + | 0.520365i | \(0.825796\pi\) | |||||||
\(8\) | −2.73903 | + | 1.39561i | −0.968394 | + | 0.493421i | ||||
\(9\) | 0.408193 | + | 2.97210i | 0.136064 | + | 0.990700i | ||||
\(10\) | −1.82162 | − | 1.70577i | −0.576047 | − | 0.539411i | ||||
\(11\) | 1.56240 | − | 2.15046i | 0.471081 | − | 0.648388i | −0.505679 | − | 0.862722i | \(-0.668758\pi\) |
0.976760 | + | 0.214334i | \(0.0687580\pi\) | |||||||
\(12\) | −1.20200 | − | 0.512448i | −0.346989 | − | 0.147931i | ||||
\(13\) | 0.434651 | − | 2.74428i | 0.120550 | − | 0.761126i | −0.851152 | − | 0.524919i | \(-0.824096\pi\) |
0.971703 | − | 0.236207i | \(-0.0759043\pi\) | |||||||
\(14\) | −1.12696 | − | 0.818783i | −0.301192 | − | 0.218829i | ||||
\(15\) | 0.216788 | − | 3.86691i | 0.0559745 | − | 0.998432i | ||||
\(16\) | −1.55496 | + | 1.12974i | −0.388740 | + | 0.282436i | ||||
\(17\) | 3.38313 | + | 6.63976i | 0.820529 | + | 1.61038i | 0.791792 | + | 0.610791i | \(0.209149\pi\) |
0.0287373 | + | 0.999587i | \(0.490851\pi\) | |||||||
\(18\) | 0.968857 | + | 3.20493i | 0.228362 | + | 0.755410i | ||||
\(19\) | −4.19972 | − | 1.36457i | −0.963482 | − | 0.313054i | −0.215300 | − | 0.976548i | \(-0.569073\pi\) |
−0.748182 | + | 0.663494i | \(0.769073\pi\) | |||||||
\(20\) | 1.39656 | + | 0.946212i | 0.312280 | + | 0.211579i | ||||
\(21\) | −0.147418 | − | 2.15681i | −0.0321692 | − | 0.470654i | ||||
\(22\) | 1.34681 | − | 2.64327i | 0.287142 | − | 0.563547i | ||||
\(23\) | 0.423775 | + | 2.67561i | 0.0883633 | + | 0.557904i | 0.991659 | + | 0.128886i | \(0.0411402\pi\) |
−0.903296 | + | 0.429018i | \(0.858860\pi\) | |||||||
\(24\) | −5.16429 | − | 1.29621i | −1.05416 | − | 0.264588i | ||||
\(25\) | −1.22973 | + | 4.84642i | −0.245946 | + | 0.969284i | ||||
\(26\) | − | 3.10095i | − | 0.608147i | ||||||
\(27\) | −2.85051 | + | 4.34449i | −0.548582 | + | 0.836097i | ||||
\(28\) | 0.838983 | + | 0.427483i | 0.158553 | + | 0.0807867i | ||||
\(29\) | −0.750513 | − | 2.30984i | −0.139367 | − | 0.428927i | 0.856877 | − | 0.515521i | \(-0.172402\pi\) |
−0.996244 | + | 0.0865943i | \(0.972402\pi\) | |||||||
\(30\) | −0.436155 | − | 4.30042i | −0.0796306 | − | 0.785145i | ||||
\(31\) | 0.834336 | − | 2.56782i | 0.149851 | − | 0.461194i | −0.847752 | − | 0.530393i | \(-0.822044\pi\) |
0.997603 | + | 0.0691989i | \(0.0220443\pi\) | |||||||
\(32\) | 2.83060 | − | 2.83060i | 0.500383 | − | 0.500383i | ||||
\(33\) | 4.48761 | − | 1.02863i | 0.781192 | − | 0.179062i | ||||
\(34\) | 4.88852 | + | 6.72847i | 0.838374 | + | 1.15392i | ||||
\(35\) | −0.345874 | + | 2.76941i | −0.0584634 | + | 0.468116i | ||||
\(36\) | −0.985749 | − | 2.03729i | −0.164291 | − | 0.339548i | ||||
\(37\) | 8.25856 | + | 1.30803i | 1.35770 | + | 0.215038i | 0.792478 | − | 0.609901i | \(-0.208791\pi\) |
0.565221 | + | 0.824939i | \(0.308791\pi\) | |||||||
\(38\) | −4.86767 | − | 0.770963i | −0.789640 | − | 0.125067i | ||||
\(39\) | 3.69142 | − | 3.08761i | 0.591101 | − | 0.494413i | ||||
\(40\) | 6.22380 | + | 2.91794i | 0.984069 | + | 0.461367i | ||||
\(41\) | −2.70112 | − | 3.71777i | −0.421844 | − | 0.580619i | 0.544213 | − | 0.838947i | \(-0.316828\pi\) |
−0.966057 | + | 0.258328i | \(0.916828\pi\) | |||||||
\(42\) | −0.539059 | − | 2.35175i | −0.0831785 | − | 0.362883i | ||||
\(43\) | −2.92223 | + | 2.92223i | −0.445635 | + | 0.445635i | −0.893901 | − | 0.448265i | \(-0.852042\pi\) |
0.448265 | + | 0.893901i | \(0.352042\pi\) | |||||||
\(44\) | −0.619676 | + | 1.90717i | −0.0934197 | + | 0.287516i | ||||
\(45\) | 4.68500 | − | 4.80112i | 0.698399 | − | 0.715709i | ||||
\(46\) | 0.934271 | + | 2.87539i | 0.137751 | + | 0.423953i | ||||
\(47\) | −0.973008 | − | 0.495773i | −0.141928 | − | 0.0723159i | 0.381584 | − | 0.924334i | \(-0.375379\pi\) |
−0.523512 | + | 0.852018i | \(0.675379\pi\) | |||||||
\(48\) | −3.31594 | − | 0.295351i | −0.478614 | − | 0.0426303i | ||||
\(49\) | − | 5.44215i | − | 0.777450i | ||||||
\(50\) | −0.509415 | + | 5.55699i | −0.0720421 | + | 0.785878i | ||||
\(51\) | −3.14219 | + | 12.5189i | −0.439994 | + | 1.75299i | ||||
\(52\) | 0.327906 | + | 2.07032i | 0.0454724 | + | 0.287101i | ||||
\(53\) | 0.732027 | − | 1.43668i | 0.100552 | − | 0.197344i | −0.835250 | − | 0.549870i | \(-0.814677\pi\) |
0.935802 | + | 0.352526i | \(0.114677\pi\) | |||||||
\(54\) | −2.38367 | + | 5.28668i | −0.324376 | + | 0.719426i | ||||
\(55\) | −5.94052 | + | 0.195110i | −0.801020 | + | 0.0263086i | ||||
\(56\) | 3.64910 | + | 1.18566i | 0.487631 | + | 0.158441i | ||||
\(57\) | −3.92896 | − | 6.56220i | −0.520404 | − | 0.869184i | ||||
\(58\) | −1.23058 | − | 2.41515i | −0.161583 | − | 0.317124i | ||||
\(59\) | 10.6654 | − | 7.74890i | 1.38852 | − | 1.00882i | 0.392497 | − | 0.919753i | \(-0.371611\pi\) |
0.996026 | − | 0.0890672i | \(-0.0283886\pi\) | |||||||
\(60\) | 0.745936 | + | 2.82501i | 0.0962999 | + | 0.364707i | ||||
\(61\) | 1.06993 | + | 0.777352i | 0.136991 | + | 0.0995298i | 0.654170 | − | 0.756347i | \(-0.273018\pi\) |
−0.517179 | + | 0.855877i | \(0.673018\pi\) | |||||||
\(62\) | 0.471387 | − | 2.97622i | 0.0598663 | − | 0.377981i | ||||
\(63\) | 2.26282 | − | 2.98334i | 0.285089 | − | 0.375865i | ||||
\(64\) | 4.88551 | − | 6.72433i | 0.610689 | − | 0.840542i | ||||
\(65\) | −5.44015 | + | 3.00079i | −0.674767 | + | 0.372202i | ||||
\(66\) | 4.76718 | − | 1.91737i | 0.586800 | − | 0.236012i | ||||
\(67\) | −10.8064 | + | 5.50612i | −1.32021 | + | 0.672679i | −0.965035 | − | 0.262122i | \(-0.915578\pi\) |
−0.355172 | + | 0.934801i | \(0.615578\pi\) | |||||||
\(68\) | −3.97526 | − | 3.97526i | −0.482071 | − | 0.482071i | ||||
\(69\) | −2.49266 | + | 3.97519i | −0.300081 | + | 0.478557i | ||||
\(70\) | 0.102248 | + | 3.11316i | 0.0122210 | + | 0.372093i | ||||
\(71\) | −12.3327 | + | 4.00715i | −1.46363 | + | 0.475561i | −0.929176 | − | 0.369638i | \(-0.879482\pi\) |
−0.534452 | + | 0.845199i | \(0.679482\pi\) | |||||||
\(72\) | −5.26593 | − | 7.57100i | −0.620596 | − | 0.892251i | ||||
\(73\) | 3.36210 | − | 0.532504i | 0.393504 | − | 0.0623249i | 0.0434529 | − | 0.999055i | \(-0.486164\pi\) |
0.350051 | + | 0.936731i | \(0.386164\pi\) | |||||||
\(74\) | 9.33193 | 1.08481 | ||||||||
\(75\) | −7.12235 | + | 4.92667i | −0.822419 | + | 0.568883i | ||||
\(76\) | 3.33137 | 0.382135 | ||||||||
\(77\) | −3.27685 | + | 0.519002i | −0.373432 | + | 0.0591458i | ||||
\(78\) | 3.53006 | − | 4.04802i | 0.399700 | − | 0.458348i | ||||
\(79\) | −10.0559 | + | 3.26736i | −1.13138 | + | 0.367607i | −0.814100 | − | 0.580725i | \(-0.802769\pi\) |
−0.317279 | + | 0.948332i | \(0.602769\pi\) | |||||||
\(80\) | 4.12885 | + | 1.19320i | 0.461619 | + | 0.133404i | ||||
\(81\) | −8.66676 | + | 2.42638i | −0.962973 | + | 0.269598i | ||||
\(82\) | −3.62658 | − | 3.62658i | −0.400489 | − | 0.400489i | ||||
\(83\) | 0.367749 | − | 0.187377i | 0.0403657 | − | 0.0205673i | −0.433691 | − | 0.901062i | \(-0.642789\pi\) |
0.474057 | + | 0.880494i | \(0.342789\pi\) | |||||||
\(84\) | 0.608579 | + | 1.51312i | 0.0664015 | + | 0.165095i | ||||
\(85\) | 7.07346 | − | 15.0873i | 0.767224 | − | 1.63645i | ||||
\(86\) | −2.71103 | + | 3.73142i | −0.292338 | + | 0.402369i | ||||
\(87\) | 1.64974 | − | 3.86966i | 0.176871 | − | 0.414871i | ||||
\(88\) | −1.27827 | + | 8.07067i | −0.136264 | + | 0.860336i | ||||
\(89\) | −0.538283 | − | 0.391086i | −0.0570579 | − | 0.0414550i | 0.558891 | − | 0.829241i | \(-0.311227\pi\) |
−0.615949 | + | 0.787786i | \(0.711227\pi\) | |||||||
\(90\) | 4.32614 | − | 6.11032i | 0.456015 | − | 0.644084i | ||||
\(91\) | −2.80562 | + | 2.03840i | −0.294109 | + | 0.213683i | ||||
\(92\) | −0.927810 | − | 1.82093i | −0.0967309 | − | 0.189845i | ||||
\(93\) | 4.01230 | − | 2.40227i | 0.416056 | − | 0.249104i | ||||
\(94\) | −1.15912 | − | 0.376622i | −0.119554 | − | 0.0388455i | ||||
\(95\) | 3.35790 | + | 9.28564i | 0.344513 | + | 0.952687i | ||||
\(96\) | 6.91738 | − | 0.472802i | 0.706002 | − | 0.0482552i | ||||
\(97\) | −0.0839349 | + | 0.164732i | −0.00852230 | + | 0.0167260i | −0.895228 | − | 0.445608i | \(-0.852988\pi\) |
0.886706 | + | 0.462333i | \(0.152988\pi\) | |||||||
\(98\) | −0.950145 | − | 5.99898i | −0.0959791 | − | 0.605988i | ||||
\(99\) | 7.02914 | + | 3.76581i | 0.706455 | + | 0.378478i | ||||
\(100\) | −0.247512 | − | 3.76393i | −0.0247512 | − | 0.376393i | ||||
\(101\) | − | 8.58298i | − | 0.854038i | −0.904243 | − | 0.427019i | \(-0.859564\pi\) | ||
0.904243 | − | 0.427019i | \(-0.140436\pi\) | |||||||
\(102\) | −1.27802 | + | 14.3484i | −0.126542 | + | 1.42070i | ||||
\(103\) | −4.90645 | − | 2.49996i | −0.483447 | − | 0.246328i | 0.195241 | − | 0.980755i | \(-0.437451\pi\) |
−0.678688 | + | 0.734427i | \(0.737451\pi\) | |||||||
\(104\) | 2.63941 | + | 8.12326i | 0.258815 | + | 0.796551i | ||||
\(105\) | −3.60414 | + | 3.22148i | −0.351728 | + | 0.314384i | ||||
\(106\) | 0.556096 | − | 1.71149i | 0.0540128 | − | 0.166234i | ||||
\(107\) | −4.62114 | + | 4.62114i | −0.446742 | + | 0.446742i | −0.894270 | − | 0.447528i | \(-0.852305\pi\) |
0.447528 | + | 0.894270i | \(0.352305\pi\) | |||||||
\(108\) | 1.03240 | − | 3.78165i | 0.0993425 | − | 0.363890i | ||||
\(109\) | 7.18516 | + | 9.88952i | 0.688213 | + | 0.947244i | 0.999996 | − | 0.00290938i | \(-0.000926087\pi\) |
−0.311783 | + | 0.950153i | \(0.600926\pi\) | |||||||
\(110\) | −6.51428 | + | 1.25223i | −0.621112 | + | 0.119395i | ||||
\(111\) | 9.29178 | + | 11.1089i | 0.881937 | + | 1.05441i | ||||
\(112\) | 2.36943 | + | 0.375281i | 0.223890 | + | 0.0354608i | ||||
\(113\) | 13.5711 | + | 2.14946i | 1.27667 | + | 0.202204i | 0.757707 | − | 0.652595i | \(-0.226320\pi\) |
0.518959 | + | 0.854799i | \(0.326320\pi\) | |||||||
\(114\) | −5.47666 | − | 6.54767i | −0.512936 | − | 0.613246i | ||||
\(115\) | 4.14034 | − | 4.42154i | 0.386089 | − | 0.412311i | ||||
\(116\) | 1.07697 | + | 1.48232i | 0.0999941 | + | 0.137630i | ||||
\(117\) | 8.33369 | + | 0.171632i | 0.770450 | + | 0.0158674i | ||||
\(118\) | 10.4038 | − | 10.4038i | 0.957750 | − | 0.957750i | ||||
\(119\) | 2.87420 | − | 8.84588i | 0.263477 | − | 0.810900i | ||||
\(120\) | 4.80290 | + | 10.8941i | 0.438442 | + | 0.994495i | ||||
\(121\) | 1.21581 | + | 3.74187i | 0.110528 | + | 0.340170i | ||||
\(122\) | 1.31513 | + | 0.670090i | 0.119066 | + | 0.0606671i | ||||
\(123\) | 0.706159 | − | 7.92811i | 0.0636722 | − | 0.714854i | ||||
\(124\) | 2.03689i | 0.182918i | ||||||||
\(125\) | 10.2419 | − | 4.48380i | 0.916059 | − | 0.401043i | ||||
\(126\) | 1.97349 | − | 3.68365i | 0.175812 | − | 0.328166i | ||||
\(127\) | −1.33832 | − | 8.44984i | −0.118757 | − | 0.749802i | −0.973149 | − | 0.230174i | \(-0.926070\pi\) |
0.854392 | − | 0.519628i | \(-0.173930\pi\) | |||||||
\(128\) | 0.576680 | − | 1.13180i | 0.0509718 | − | 0.100038i | ||||
\(129\) | −7.14130 | + | 0.488108i | −0.628757 | + | 0.0429755i | ||||
\(130\) | −5.47286 | + | 4.25762i | −0.480002 | + | 0.373418i | ||||
\(131\) | 3.65650 | + | 1.18807i | 0.319470 | + | 0.103802i | 0.464362 | − | 0.885645i | \(-0.346284\pi\) |
−0.144892 | + | 0.989447i | \(0.546284\pi\) | |||||||
\(132\) | −2.98001 | + | 1.78421i | −0.259376 | + | 0.155296i | ||||
\(133\) | 2.50221 | + | 4.91087i | 0.216969 | + | 0.425826i | ||||
\(134\) | −10.9507 | + | 7.95618i | −0.946000 | + | 0.687309i | ||||
\(135\) | 11.5813 | − | 0.934128i | 0.996763 | − | 0.0803970i | ||||
\(136\) | −18.5330 | − | 13.4650i | −1.58919 | − | 1.15461i | ||||
\(137\) | −0.487684 | + | 3.07911i | −0.0416656 | + | 0.263066i | −0.999724 | − | 0.0235079i | \(-0.992517\pi\) |
0.958058 | + | 0.286574i | \(0.0925165\pi\) | |||||||
\(138\) | −2.05367 | + | 4.81712i | −0.174820 | + | 0.410060i | ||||
\(139\) | 9.07133 | − | 12.4856i | 0.769420 | − | 1.05902i | −0.226951 | − | 0.973906i | \(-0.572876\pi\) |
0.996372 | − | 0.0851101i | \(-0.0271242\pi\) | |||||||
\(140\) | −0.397462 | − | 2.06765i | −0.0335916 | − | 0.174749i | ||||
\(141\) | −0.705799 | − | 1.75484i | −0.0594390 | − | 0.147784i | ||||
\(142\) | −12.8950 | + | 6.57033i | −1.08212 | + | 0.551370i | ||||
\(143\) | −5.22236 | − | 5.22236i | −0.436715 | − | 0.436715i | ||||
\(144\) | −3.99244 | − | 4.16034i | −0.332703 | − | 0.346695i | ||||
\(145\) | −3.04618 | + | 4.49600i | −0.252971 | + | 0.373372i | ||||
\(146\) | 3.61314 | − | 1.17398i | 0.299025 | − | 0.0971592i | ||||
\(147\) | 6.19522 | − | 7.10424i | 0.510973 | − | 0.585948i | ||||
\(148\) | −6.23036 | + | 0.986793i | −0.512133 | + | 0.0811138i | ||||
\(149\) | −18.2875 | −1.49817 | −0.749086 | − | 0.662473i | \(-0.769507\pi\) | ||||
−0.749086 | + | 0.662473i | \(0.769507\pi\) | |||||||
\(150\) | −6.99095 | + | 6.67425i | −0.570809 | + | 0.544950i | ||||
\(151\) | −1.16397 | −0.0947222 | −0.0473611 | − | 0.998878i | \(-0.515081\pi\) | ||||
−0.0473611 | + | 0.998878i | \(0.515081\pi\) | |||||||
\(152\) | 13.4076 | − | 2.12355i | 1.08750 | − | 0.172243i | ||||
\(153\) | −18.3531 | + | 12.7653i | −1.48376 | + | 1.03201i | ||||
\(154\) | −3.52152 | + | 1.14421i | −0.283772 | + | 0.0922031i | ||||
\(155\) | −5.67749 | + | 2.05311i | −0.456027 | + | 0.164910i | ||||
\(156\) | −1.92875 | + | 3.07589i | −0.154424 | + | 0.246269i | ||||
\(157\) | 5.45597 | + | 5.45597i | 0.435434 | + | 0.435434i | 0.890472 | − | 0.455038i | \(-0.150374\pi\) |
−0.455038 | + | 0.890472i | \(0.650374\pi\) | |||||||
\(158\) | −10.5144 | + | 5.35734i | −0.836478 | + | 0.426207i | ||||
\(159\) | 2.59108 | − | 1.04214i | 0.205486 | − | 0.0826469i | ||||
\(160\) | −8.88213 | − | 1.10930i | −0.702194 | − | 0.0876976i | ||||
\(161\) | 1.98740 | − | 2.73542i | 0.156629 | − | 0.215581i | ||||
\(162\) | −9.12990 | + | 4.18777i | −0.717313 | + | 0.329022i | ||||
\(163\) | −1.06612 | + | 6.73124i | −0.0835053 | + | 0.527232i | 0.910106 | + | 0.414375i | \(0.136000\pi\) |
−0.993611 | + | 0.112856i | \(0.964000\pi\) | |||||||
\(164\) | 2.80474 | + | 2.03776i | 0.219013 | + | 0.159122i | ||||
\(165\) | −7.97693 | − | 6.50786i | −0.621003 | − | 0.506636i | ||||
\(166\) | 0.372662 | − | 0.270755i | 0.0289242 | − | 0.0210147i | ||||
\(167\) | −6.35867 | − | 12.4796i | −0.492049 | − | 0.965700i | −0.994856 | − | 0.101301i | \(-0.967699\pi\) |
0.502807 | − | 0.864399i | \(-0.332301\pi\) | |||||||
\(168\) | 3.41384 | + | 5.70183i | 0.263383 | + | 0.439906i | ||||
\(169\) | 5.02160 | + | 1.63162i | 0.386277 | + | 0.125509i | ||||
\(170\) | 5.16311 | − | 17.8659i | 0.395992 | − | 1.37026i | ||||
\(171\) | 2.34135 | − | 13.0390i | 0.179048 | − | 0.997117i | ||||
\(172\) | 1.41542 | − | 2.77791i | 0.107925 | − | 0.211814i | ||||
\(173\) | 2.39557 | + | 15.1250i | 0.182132 | + | 1.14993i | 0.894148 | + | 0.447772i | \(0.147782\pi\) |
−0.712016 | + | 0.702163i | \(0.752218\pi\) | |||||||
\(174\) | 1.14294 | − | 4.55362i | 0.0866460 | − | 0.345209i | ||||
\(175\) | 5.36261 | − | 3.19197i | 0.405375 | − | 0.241291i | ||||
\(176\) | 5.10899i | 0.385105i | ||||||||
\(177\) | 22.7440 | + | 2.02581i | 1.70954 | + | 0.152269i | ||||
\(178\) | −0.661639 | − | 0.337122i | −0.0495919 | − | 0.0252684i | ||||
\(179\) | 0.532267 | + | 1.63815i | 0.0397835 | + | 0.122441i | 0.968976 | − | 0.247156i | \(-0.0794959\pi\) |
−0.929192 | + | 0.369597i | \(0.879496\pi\) | |||||||
\(180\) | −2.24217 | + | 4.53695i | −0.167122 | + | 0.338164i | ||||
\(181\) | 3.72045 | − | 11.4504i | 0.276539 | − | 0.851100i | −0.712269 | − | 0.701907i | \(-0.752332\pi\) |
0.988808 | − | 0.149193i | \(-0.0476676\pi\) | |||||||
\(182\) | −2.73680 | + | 2.73680i | −0.202865 | + | 0.202865i | ||||
\(183\) | 0.511782 | + | 2.23275i | 0.0378320 | + | 0.165050i | ||||
\(184\) | −4.89484 | − | 6.73716i | −0.360852 | − | 0.496670i | ||||
\(185\) | −9.03049 | − | 16.3714i | −0.663935 | − | 1.20365i | ||||
\(186\) | 4.00342 | − | 3.34857i | 0.293545 | − | 0.245529i | ||||
\(187\) | 19.5643 | + | 3.09869i | 1.43069 | + | 0.226598i | ||||
\(188\) | 0.813700 | + | 0.128877i | 0.0593452 | + | 0.00939936i | ||||
\(189\) | 6.35008 | − | 1.31853i | 0.461900 | − | 0.0959092i | ||||
\(190\) | 5.32265 | + | 9.64948i | 0.386146 | + | 0.700047i | ||||
\(191\) | 11.6722 | + | 16.0655i | 0.844574 | + | 1.16246i | 0.985032 | + | 0.172370i | \(0.0551425\pi\) |
−0.140458 | + | 0.990087i | \(0.544857\pi\) | |||||||
\(192\) | 14.0324 | − | 3.21645i | 1.01270 | − | 0.232128i | ||||
\(193\) | −9.64797 | + | 9.64797i | −0.694476 | + | 0.694476i | −0.963213 | − | 0.268737i | \(-0.913394\pi\) |
0.268737 | + | 0.963213i | \(0.413394\pi\) | |||||||
\(194\) | −0.0637625 | + | 0.196241i | −0.00457788 | + | 0.0140893i | ||||
\(195\) | −10.5176 | − | 2.27568i | −0.753184 | − | 0.162965i | ||||
\(196\) | 1.26871 | + | 3.90468i | 0.0906220 | + | 0.278906i | ||||
\(197\) | 7.86339 | + | 4.00660i | 0.560244 | + | 0.285458i | 0.711092 | − | 0.703098i | \(-0.248201\pi\) |
−0.150849 | + | 0.988557i | \(0.548201\pi\) | |||||||
\(198\) | 8.40582 | + | 2.92390i | 0.597376 | + | 0.207793i | ||||
\(199\) | 7.09983i | 0.503293i | 0.967819 | + | 0.251647i | \(0.0809721\pi\) | ||||
−0.967819 | + | 0.251647i | \(0.919028\pi\) | |||||||
\(200\) | −3.39543 | − | 14.9907i | −0.240093 | − | 1.06000i | ||||
\(201\) | −20.3748 | − | 5.11398i | −1.43713 | − | 0.360712i | ||||
\(202\) | −1.49850 | − | 9.46117i | −0.105434 | − | 0.665686i | ||||
\(203\) | −1.37621 | + | 2.70097i | −0.0965912 | + | 0.189571i | ||||
\(204\) | −0.663998 | − | 9.71469i | −0.0464892 | − | 0.680164i | ||||
\(205\) | −2.85284 | + | 9.87171i | −0.199251 | + | 0.689470i | ||||
\(206\) | −5.84494 | − | 1.89914i | −0.407236 | − | 0.132319i | ||||
\(207\) | −7.77921 | + | 2.35167i | −0.540692 | + | 0.163452i | ||||
\(208\) | 2.42447 | + | 4.75829i | 0.168107 | + | 0.329928i | ||||
\(209\) | −9.49610 | + | 6.89932i | −0.656859 | + | 0.477236i | ||||
\(210\) | −3.41047 | + | 4.18034i | −0.235345 | + | 0.288471i | ||||
\(211\) | 12.0452 | + | 8.75137i | 0.829228 | + | 0.602469i | 0.919341 | − | 0.393462i | \(-0.128723\pi\) |
−0.0901127 | + | 0.995932i | \(0.528723\pi\) | |||||||
\(212\) | −0.190292 | + | 1.20146i | −0.0130693 | + | 0.0825166i | ||||
\(213\) | −20.6609 | − | 8.80834i | −1.41566 | − | 0.603538i | ||||
\(214\) | −4.28716 | + | 5.90077i | −0.293064 | + | 0.403368i | ||||
\(215\) | 9.16966 | + | 1.14521i | 0.625365 | + | 0.0781024i | ||||
\(216\) | 1.74445 | − | 15.8779i | 0.118695 | − | 1.08035i | ||||
\(217\) | −3.00263 | + | 1.52992i | −0.203832 | + | 0.103858i | ||||
\(218\) | 9.64694 | + | 9.64694i | 0.653373 | + | 0.653373i | ||||
\(219\) | 4.99511 | + | 3.13220i | 0.337538 | + | 0.211655i | ||||
\(220\) | 4.21677 | − | 1.52488i | 0.284295 | − | 0.102807i | ||||
\(221\) | 19.6918 | − | 6.39826i | 1.32462 | − | 0.430394i | ||||
\(222\) | 12.1820 | + | 10.6233i | 0.817602 | + | 0.712987i | ||||
\(223\) | 13.2595 | − | 2.10010i | 0.887922 | − | 0.140633i | 0.304221 | − | 0.952602i | \(-0.401604\pi\) |
0.583701 | + | 0.811969i | \(0.301604\pi\) | |||||||
\(224\) | −4.99639 | −0.333835 | ||||||||
\(225\) | −14.9060 | − | 1.67660i | −0.993734 | − | 0.111773i | ||||
\(226\) | 15.3350 | 1.02007 | ||||||||
\(227\) | −11.5997 | + | 1.83722i | −0.769901 | + | 0.121940i | −0.529014 | − | 0.848613i | \(-0.677438\pi\) |
−0.240887 | + | 0.970553i | \(0.577438\pi\) | |||||||
\(228\) | 4.34881 | + | 3.79236i | 0.288007 | + | 0.251155i | ||||
\(229\) | 7.76779 | − | 2.52391i | 0.513310 | − | 0.166785i | −0.0408970 | − | 0.999163i | \(-0.513022\pi\) |
0.554207 | + | 0.832379i | \(0.313022\pi\) | |||||||
\(230\) | 3.79201 | − | 5.59681i | 0.250038 | − | 0.369043i | ||||
\(231\) | −4.86845 | − | 3.05278i | −0.320321 | − | 0.200858i | ||||
\(232\) | 5.27931 | + | 5.27931i | 0.346603 | + | 0.346603i | ||||
\(233\) | 16.3961 | − | 8.35425i | 1.07415 | − | 0.547305i | 0.174828 | − | 0.984599i | \(-0.444063\pi\) |
0.899319 | + | 0.437294i | \(0.144063\pi\) | |||||||
\(234\) | 9.21634 | − | 1.26579i | 0.602491 | − | 0.0827470i | ||||
\(235\) | 0.460955 | + | 2.39796i | 0.0300694 | + | 0.156425i | ||||
\(236\) | −5.84587 | + | 8.04615i | −0.380534 | + | 0.523759i | ||||
\(237\) | −16.8466 | − | 7.18218i | −1.09430 | − | 0.466532i | ||||
\(238\) | 1.62388 | − | 10.2528i | 0.105261 | − | 0.664589i | ||||
\(239\) | −9.61180 | − | 6.98338i | −0.621736 | − | 0.451718i | 0.231792 | − | 0.972765i | \(-0.425541\pi\) |
−0.853527 | + | 0.521048i | \(0.825541\pi\) | |||||||
\(240\) | 4.03152 | + | 6.25781i | 0.260234 | + | 0.403940i | ||||
\(241\) | −12.0049 | + | 8.72206i | −0.773303 | + | 0.561837i | −0.902961 | − | 0.429721i | \(-0.858612\pi\) |
0.129659 | + | 0.991559i | \(0.458612\pi\) | |||||||
\(242\) | 1.99350 | + | 3.91246i | 0.128147 | + | 0.251502i | ||||
\(243\) | −14.0758 | − | 6.69862i | −0.902964 | − | 0.429717i | ||||
\(244\) | −0.948887 | − | 0.308312i | −0.0607463 | − | 0.0197377i | ||||
\(245\) | −9.60483 | + | 7.47208i | −0.613630 | + | 0.477374i | ||||
\(246\) | −0.605758 | − | 8.86259i | −0.0386217 | − | 0.565058i | ||||
\(247\) | −5.57018 | + | 10.9321i | −0.354422 | + | 0.695592i | ||||
\(248\) | 1.29840 | + | 8.19775i | 0.0824482 | + | 0.520557i | ||||
\(249\) | 0.693369 | + | 0.174033i | 0.0439405 | + | 0.0110289i | ||||
\(250\) | 10.5070 | − | 6.73070i | 0.664518 | − | 0.425687i | ||||
\(251\) | − | 14.4550i | − | 0.912391i | −0.889880 | − | 0.456195i | \(-0.849212\pi\) | ||
0.889880 | − | 0.456195i | \(-0.150788\pi\) | |||||||
\(252\) | −0.928056 | + | 2.66804i | −0.0584620 | + | 0.168070i | ||||
\(253\) | 6.41590 | + | 3.26907i | 0.403364 | + | 0.205524i | ||||
\(254\) | −2.95052 | − | 9.08076i | −0.185132 | − | 0.569778i | ||||
\(255\) | 26.4088 | − | 11.6428i | 1.65378 | − | 0.729102i | ||||
\(256\) | −4.69885 | + | 14.4616i | −0.293678 | + | 0.903848i | ||||
\(257\) | −2.09562 | + | 2.09562i | −0.130721 | + | 0.130721i | −0.769440 | − | 0.638719i | \(-0.779465\pi\) |
0.638719 | + | 0.769440i | \(0.279465\pi\) | |||||||
\(258\) | −7.78677 | + | 1.78485i | −0.484783 | + | 0.111120i | ||||
\(259\) | −6.13432 | − | 8.44316i | −0.381168 | − | 0.524633i | ||||
\(260\) | 3.20368 | − | 3.42127i | 0.198684 | − | 0.212178i | ||||
\(261\) | 6.55872 | − | 3.17346i | 0.405975 | − | 0.196432i | ||||
\(262\) | 4.23805 | + | 0.671242i | 0.261828 | + | 0.0414695i | ||||
\(263\) | 0.740445 | + | 0.117275i | 0.0456578 | + | 0.00723148i | 0.179222 | − | 0.983809i | \(-0.442642\pi\) |
−0.133564 | + | 0.991040i | \(0.542642\pi\) | |||||||
\(264\) | −10.8561 | + | 9.08038i | −0.668149 | + | 0.558859i | ||||
\(265\) | −3.54067 | + | 0.680618i | −0.217502 | + | 0.0418100i | ||||
\(266\) | 3.61562 | + | 4.97648i | 0.221688 | + | 0.305127i | ||||
\(267\) | −0.257477 | − | 1.12330i | −0.0157574 | − | 0.0687446i | ||||
\(268\) | 6.46983 | − | 6.46983i | 0.395208 | − | 0.395208i | ||||
\(269\) | −9.23129 | + | 28.4110i | −0.562842 | + | 1.73225i | 0.111437 | + | 0.993772i | \(0.464455\pi\) |
−0.674279 | + | 0.738477i | \(0.735545\pi\) | |||||||
\(270\) | 12.6032 | − | 3.05169i | 0.767008 | − | 0.185720i | ||||
\(271\) | −0.278320 | − | 0.856581i | −0.0169067 | − | 0.0520336i | 0.942247 | − | 0.334918i | \(-0.108709\pi\) |
−0.959154 | + | 0.282885i | \(0.908709\pi\) | |||||||
\(272\) | −12.7619 | − | 6.50249i | −0.773801 | − | 0.394272i | ||||
\(273\) | −5.98296 | − | 0.532904i | −0.362105 | − | 0.0322528i | ||||
\(274\) | 3.47931i | 0.210193i | ||||||||
\(275\) | 8.50070 | + | 10.2165i | 0.512611 | + | 0.616080i | ||||
\(276\) | 0.861733 | − | 3.43326i | 0.0518702 | − | 0.206658i | ||||
\(277\) | −4.27440 | − | 26.9875i | −0.256824 | − | 1.62152i | −0.692499 | − | 0.721419i | \(-0.743490\pi\) |
0.435674 | − | 0.900104i | \(-0.356510\pi\) | |||||||
\(278\) | 7.81963 | − | 15.3469i | 0.468990 | − | 0.920445i | ||||
\(279\) | 7.97239 | + | 1.43156i | 0.477294 | + | 0.0857055i | ||||
\(280\) | −2.91765 | − | 8.06820i | −0.174363 | − | 0.482167i | ||||
\(281\) | 15.6137 | + | 5.07320i | 0.931436 | + | 0.302642i | 0.735150 | − | 0.677905i | \(-0.237112\pi\) |
0.196286 | + | 0.980547i | \(0.437112\pi\) | |||||||
\(282\) | −1.08439 | − | 1.81116i | −0.0645746 | − | 0.107853i | ||||
\(283\) | −9.15513 | − | 17.9680i | −0.544216 | − | 1.06808i | −0.985334 | − | 0.170635i | \(-0.945418\pi\) |
0.441118 | − | 0.897449i | \(-0.354582\pi\) | |||||||
\(284\) | 7.91444 | − | 5.75018i | 0.469635 | − | 0.341210i | ||||
\(285\) | −6.18713 | + | 15.9441i | −0.366494 | + | 0.944449i | ||||
\(286\) | −6.66847 | − | 4.84493i | −0.394315 | − | 0.286487i | ||||
\(287\) | −0.897265 | + | 5.66511i | −0.0529639 | + | 0.334401i | ||||
\(288\) | 9.56824 | + | 7.25739i | 0.563814 | + | 0.427646i | ||||
\(289\) | −22.6485 | + | 31.1730i | −1.33227 | + | 1.83371i | ||||
\(290\) | −2.57290 | + | 5.48785i | −0.151086 | + | 0.322258i | ||||
\(291\) | −0.297096 | + | 0.119493i | −0.0174161 | + | 0.00700478i | ||||
\(292\) | −2.28813 | + | 1.16586i | −0.133903 | + | 0.0682268i | ||||
\(293\) | 4.85051 | + | 4.85051i | 0.283370 | + | 0.283370i | 0.834451 | − | 0.551082i | \(-0.185785\pi\) |
−0.551082 | + | 0.834451i | \(0.685785\pi\) | |||||||
\(294\) | 5.58878 | − | 8.91275i | 0.325944 | − | 0.519802i | ||||
\(295\) | −28.3197 | − | 8.18416i | −1.64884 | − | 0.476500i | ||||
\(296\) | −24.4459 | + | 7.94297i | −1.42089 | + | 0.461676i | ||||
\(297\) | 4.88900 | + | 12.9177i | 0.283689 | + | 0.749563i | ||||
\(298\) | −20.1587 | + | 3.19282i | −1.16776 | + | 0.184955i | ||||
\(299\) | 7.52682 | 0.435287 | ||||||||
\(300\) | 3.96167 | − | 5.19524i | 0.228727 | − | 0.299947i | ||||
\(301\) | 5.15813 | 0.297310 | ||||||||
\(302\) | −1.28306 | + | 0.203217i | −0.0738318 | + | 0.0116938i | ||||
\(303\) | 9.77067 | − | 11.2043i | 0.561310 | − | 0.643671i | ||||
\(304\) | 8.07202 | − | 2.62276i | 0.462962 | − | 0.150425i | ||||
\(305\) | −0.0970744 | − | 2.95563i | −0.00555846 | − | 0.169239i | ||||
\(306\) | −18.0022 | + | 17.2757i | −1.02912 | + | 0.987585i | ||||
\(307\) | 4.21865 | + | 4.21865i | 0.240771 | + | 0.240771i | 0.817169 | − | 0.576398i | \(-0.195542\pi\) |
−0.576398 | + | 0.817169i | \(0.695542\pi\) | |||||||
\(308\) | 2.23011 | − | 1.13630i | 0.127072 | − | 0.0647466i | ||||
\(309\) | −3.55903 | − | 8.84887i | −0.202466 | − | 0.503394i | ||||
\(310\) | −5.89994 | + | 3.25441i | −0.335094 | + | 0.184838i | ||||
\(311\) | −4.58010 | + | 6.30397i | −0.259714 | + | 0.357466i | −0.918884 | − | 0.394529i | \(-0.870908\pi\) |
0.659170 | + | 0.751994i | \(0.270908\pi\) | |||||||
\(312\) | −5.80183 | + | 13.6088i | −0.328464 | + | 0.770448i | ||||
\(313\) | 3.80837 | − | 24.0451i | 0.215262 | − | 1.35911i | −0.609122 | − | 0.793076i | \(-0.708478\pi\) |
0.824384 | − | 0.566031i | \(-0.191522\pi\) | |||||||
\(314\) | 6.96678 | + | 5.06166i | 0.393158 | + | 0.285646i | ||||
\(315\) | −8.37215 | + | 0.102480i | −0.471717 | + | 0.00577412i | ||||
\(316\) | 6.45330 | − | 4.68860i | 0.363026 | − | 0.263754i | ||||
\(317\) | −12.5516 | − | 24.6338i | −0.704967 | − | 1.38357i | −0.914019 | − | 0.405670i | \(-0.867038\pi\) |
0.209053 | − | 0.977904i | \(-0.432962\pi\) | |||||||
\(318\) | 2.67425 | − | 1.60115i | 0.149965 | − | 0.0897878i | ||||
\(319\) | −6.13982 | − | 1.99495i | −0.343764 | − | 0.111696i | ||||
\(320\) | −18.5756 | + | 0.610094i | −1.03841 | + | 0.0341053i | ||||
\(321\) | −11.2931 | + | 0.771881i | −0.630318 | + | 0.0430822i | ||||
\(322\) | 1.71317 | − | 3.36228i | 0.0954712 | − | 0.187373i | ||||
\(323\) | −5.14776 | − | 32.5017i | −0.286429 | − | 1.80844i | ||||
\(324\) | 5.65265 | − | 3.76135i | 0.314036 | − | 0.208964i | ||||
\(325\) | 12.7654 | + | 5.48121i | 0.708098 | + | 0.304043i | ||||
\(326\) | 7.60611i | 0.421263i | ||||||||
\(327\) | −1.87843 | + | 21.0893i | −0.103877 | + | 1.16624i | ||||
\(328\) | 12.5870 | + | 6.41340i | 0.695001 | + | 0.354121i | ||||
\(329\) | 0.421193 | + | 1.29630i | 0.0232211 | + | 0.0714673i | ||||
\(330\) | −9.92932 | − | 5.78104i | −0.546591 | − | 0.318236i | ||||
\(331\) | 6.64706 | − | 20.4576i | 0.365356 | − | 1.12445i | −0.584402 | − | 0.811464i | \(-0.698671\pi\) |
0.949758 | − | 0.312985i | \(-0.101329\pi\) | |||||||
\(332\) | −0.220173 | + | 0.220173i | −0.0120836 | + | 0.0120836i | ||||
\(333\) | −0.516505 | + | 25.0792i | −0.0283043 | + | 1.37433i | ||||
\(334\) | −9.18809 | − | 12.6463i | −0.502750 | − | 0.691976i | ||||
\(335\) | 24.5549 | + | 11.5122i | 1.34158 | + | 0.628979i | ||||
\(336\) | 2.66587 | + | 3.18721i | 0.145435 | + | 0.173876i | ||||
\(337\) | −15.8200 | − | 2.50565i | −0.861773 | − | 0.136491i | −0.290123 | − | 0.956989i | \(-0.593696\pi\) |
−0.571650 | + | 0.820498i | \(0.693696\pi\) | |||||||
\(338\) | 5.82026 | + | 0.921839i | 0.316581 | + | 0.0501414i | ||||
\(339\) | 15.2690 | + | 18.2550i | 0.829299 | + | 0.991476i | ||||
\(340\) | −1.55788 | + | 12.4740i | −0.0844882 | + | 0.676496i | ||||
\(341\) | −4.21843 | − | 5.80617i | −0.228441 | − | 0.314422i | ||||
\(342\) | 0.304433 | − | 14.7819i | 0.0164618 | − | 0.799314i | ||||
\(343\) | −10.9810 | + | 10.9810i | −0.592920 | + | 0.592920i | ||||
\(344\) | 3.92579 | − | 12.0824i | 0.211665 | − | 0.651437i | ||||
\(345\) | 10.4382 | − | 1.05866i | 0.561975 | − | 0.0569964i | ||||
\(346\) | 5.28136 | + | 16.2544i | 0.283928 | + | 0.873840i | ||||
\(347\) | −18.7934 | − | 9.57574i | −1.00888 | − | 0.514053i | −0.130217 | − | 0.991486i | \(-0.541567\pi\) |
−0.878668 | + | 0.477433i | \(0.841567\pi\) | |||||||
\(348\) | −0.281554 | + | 3.16104i | −0.0150929 | + | 0.169449i | ||||
\(349\) | − | 20.6744i | − | 1.10668i | −0.832957 | − | 0.553338i | \(-0.813354\pi\) | ||
0.832957 | − | 0.553338i | \(-0.186646\pi\) | |||||||
\(350\) | 5.35402 | − | 4.45483i | 0.286184 | − | 0.238121i | ||||
\(351\) | 10.6835 | + | 9.71093i | 0.570243 | + | 0.518331i | ||||
\(352\) | −1.66456 | − | 10.5096i | −0.0887212 | − | 0.560164i | ||||
\(353\) | −1.26364 | + | 2.48004i | −0.0672570 | + | 0.131999i | −0.922187 | − | 0.386744i | \(-0.873600\pi\) |
0.854930 | + | 0.518743i | \(0.173600\pi\) | |||||||
\(354\) | 25.4248 | − | 1.73778i | 1.35131 | − | 0.0923620i | ||||
\(355\) | 24.0051 | + | 16.2642i | 1.27406 | + | 0.863214i | ||||
\(356\) | 0.477385 | + | 0.155112i | 0.0253013 | + | 0.00822090i | ||||
\(357\) | 13.8220 | − | 8.27558i | 0.731536 | − | 0.437990i | ||||
\(358\) | 0.872733 | + | 1.71283i | 0.0461254 | + | 0.0905261i | ||||
\(359\) | −0.633543 | + | 0.460296i | −0.0334371 | + | 0.0242935i | −0.604378 | − | 0.796697i | \(-0.706578\pi\) |
0.570941 | + | 0.820991i | \(0.306578\pi\) | |||||||
\(360\) | −6.13190 | + | 19.6888i | −0.323179 | + | 1.03769i | ||||
\(361\) | 0.404282 | + | 0.293728i | 0.0212780 | + | 0.0154594i | ||||
\(362\) | 2.10200 | − | 13.2715i | 0.110479 | − | 0.697535i | ||||
\(363\) | −2.67253 | + | 6.26872i | −0.140272 | + | 0.329022i | ||||
\(364\) | 1.53780 | − | 2.11659i | 0.0806024 | − | 0.110940i | ||||
\(365\) | −5.55599 | − | 5.20263i | −0.290814 | − | 0.272318i | ||||
\(366\) | 0.953963 | + | 2.37185i | 0.0498645 | + | 0.123979i | ||||
\(367\) | 0.914513 | − | 0.465967i | 0.0477372 | − | 0.0243233i | −0.429959 | − | 0.902848i | \(-0.641472\pi\) |
0.477696 | + | 0.878525i | \(0.341472\pi\) | |||||||
\(368\) | −3.68171 | − | 3.68171i | −0.191923 | − | 0.191923i | ||||
\(369\) | 9.94702 | − | 9.54557i | 0.517821 | − | 0.496922i | ||||
\(370\) | −12.8128 | − | 16.4699i | −0.666104 | − | 0.856230i | ||||
\(371\) | −1.91403 | + | 0.621907i | −0.0993717 | + | 0.0322878i | ||||
\(372\) | −2.31875 | + | 2.65898i | −0.120222 | + | 0.137861i | ||||
\(373\) | −1.20504 | + | 0.190860i | −0.0623948 | + | 0.00988237i | −0.187554 | − | 0.982254i | \(-0.560056\pi\) |
0.125159 | + | 0.992137i | \(0.460056\pi\) | |||||||
\(374\) | 22.1071 | 1.14313 | ||||||||
\(375\) | 18.4741 | + | 5.80589i | 0.953997 | + | 0.299815i | ||||
\(376\) | 3.35700 | 0.173124 | ||||||||
\(377\) | −6.66505 | + | 1.05564i | −0.343268 | + | 0.0543683i | ||||
\(378\) | 6.76960 | − | 2.56210i | 0.348191 | − | 0.131780i | ||||
\(379\) | 25.2969 | − | 8.21947i | 1.29942 | − | 0.422206i | 0.424038 | − | 0.905644i | \(-0.360612\pi\) |
0.875378 | + | 0.483438i | \(0.160612\pi\) | |||||||
\(380\) | −4.57398 | − | 5.87953i | −0.234640 | − | 0.301614i | ||||
\(381\) | 7.87205 | − | 12.5540i | 0.403297 | − | 0.643163i | ||||
\(382\) | 15.6714 | + | 15.6714i | 0.801819 | + | 0.801819i | ||||
\(383\) | −3.00934 | + | 1.53333i | −0.153770 | + | 0.0783497i | −0.529182 | − | 0.848508i | \(-0.677501\pi\) |
0.375412 | + | 0.926858i | \(0.377501\pi\) | |||||||
\(384\) | 2.04122 | − | 0.820981i | 0.104165 | − | 0.0418955i | ||||
\(385\) | 5.41511 | + | 5.07071i | 0.275980 | + | 0.258428i | ||||
\(386\) | −8.95069 | + | 12.3196i | −0.455578 | + | 0.627050i | ||||
\(387\) | −9.87798 | − | 7.49232i | −0.502126 | − | 0.380856i | ||||
\(388\) | 0.0218191 | − | 0.137761i | 0.00110770 | − | 0.00699373i | ||||
\(389\) | 9.73349 | + | 7.07179i | 0.493508 | + | 0.358554i | 0.806532 | − | 0.591191i | \(-0.201342\pi\) |
−0.313024 | + | 0.949745i | \(0.601342\pi\) | |||||||
\(390\) | −11.9911 | − | 0.672250i | −0.607193 | − | 0.0340407i | ||||
\(391\) | −16.3317 | + | 11.8657i | −0.825932 | + | 0.600074i | ||||
\(392\) | 7.59510 | + | 14.9062i | 0.383610 | + | 0.752877i | ||||
\(393\) | 3.42076 | + | 5.71340i | 0.172555 | + | 0.288203i | ||||
\(394\) | 9.36747 | + | 3.04368i | 0.471927 | + | 0.153338i | ||||
\(395\) | 19.5734 | + | 13.2616i | 0.984843 | + | 0.667261i | ||||
\(396\) | −5.92124 | − | 1.06325i | −0.297554 | − | 0.0534302i | ||||
\(397\) | −5.17257 | + | 10.1517i | −0.259604 | + | 0.509501i | −0.983614 | − | 0.180288i | \(-0.942297\pi\) |
0.724010 | + | 0.689790i | \(0.242297\pi\) | |||||||
\(398\) | 1.23956 | + | 7.82627i | 0.0621335 | + | 0.392295i | ||||
\(399\) | −2.32401 | + | 9.25916i | −0.116346 | + | 0.463538i | ||||
\(400\) | −3.56304 | − | 8.92526i | −0.178152 | − | 0.446263i | ||||
\(401\) | 26.6966i | 1.33316i | 0.745432 | + | 0.666581i | \(0.232243\pi\) | ||||
−0.745432 | + | 0.666581i | \(0.767757\pi\) | |||||||
\(402\) | −23.3523 | − | 2.08000i | −1.16471 | − | 0.103741i | ||||
\(403\) | −6.68417 | − | 3.40575i | −0.332962 | − | 0.169653i | ||||
\(404\) | 2.00092 | + | 6.15819i | 0.0995494 | + | 0.306382i | ||||
\(405\) | 16.1818 | + | 11.9645i | 0.804080 | + | 0.594522i | ||||
\(406\) | −1.04546 | + | 3.21760i | −0.0518854 | + | 0.159687i | ||||
\(407\) | 15.7160 | − | 15.7160i | 0.779015 | − | 0.779015i | ||||
\(408\) | −8.86489 | − | 38.6749i | −0.438878 | − | 1.91469i | ||||
\(409\) | −12.1684 | − | 16.7484i | −0.601690 | − | 0.828155i | 0.394172 | − | 0.919037i | \(-0.371032\pi\) |
−0.995862 | + | 0.0908815i | \(0.971032\pi\) | |||||||
\(410\) | −1.42124 | + | 11.3798i | −0.0701900 | + | 0.562011i | ||||
\(411\) | −4.14182 | + | 3.46434i | −0.204301 | + | 0.170883i | ||||
\(412\) | 4.10313 | + | 0.649872i | 0.202147 | + | 0.0320169i | ||||
\(413\) | −16.2519 | − | 2.57405i | −0.799704 | − | 0.126661i | ||||
\(414\) | −8.16458 | + | 3.95046i | −0.401267 | + | 0.194154i | ||||
\(415\) | −0.835622 | − | 0.391769i | −0.0410191 | − | 0.0192312i | ||||
\(416\) | −6.53762 | − | 8.99826i | −0.320533 | − | 0.441176i | ||||
\(417\) | 26.0552 | − | 5.97225i | 1.27593 | − | 0.292462i | ||||
\(418\) | −9.26317 | + | 9.26317i | −0.453077 | + | 0.453077i | ||||
\(419\) | 2.38368 | − | 7.33623i | 0.116451 | − | 0.358398i | −0.875796 | − | 0.482681i | \(-0.839663\pi\) |
0.992247 | + | 0.124283i | \(0.0396630\pi\) | |||||||
\(420\) | 1.83492 | − | 3.15160i | 0.0895349 | − | 0.153782i | ||||
\(421\) | −0.0890284 | − | 0.274001i | −0.00433898 | − | 0.0133540i | 0.948864 | − | 0.315686i | \(-0.102235\pi\) |
−0.953203 | + | 0.302332i | \(0.902235\pi\) | |||||||
\(422\) | 14.8056 | + | 7.54382i | 0.720725 | + | 0.367228i | ||||
\(423\) | 1.07631 | − | 3.09425i | 0.0523320 | − | 0.150448i | ||||
\(424\) | 4.95674i | 0.240721i | ||||||||
\(425\) | −36.3394 | + | 8.23095i | −1.76272 | + | 0.399260i | ||||
\(426\) | −24.3128 | − | 6.10240i | −1.17796 | − | 0.295662i | ||||
\(427\) | −0.258223 | − | 1.63036i | −0.0124963 | − | 0.0788984i | ||||
\(428\) | 2.23831 | − | 4.39293i | 0.108193 | − | 0.212340i | ||||
\(429\) | −0.872305 | − | 12.7623i | −0.0421153 | − | 0.616171i | ||||
\(430\) | 10.3078 | − | 0.338549i | 0.497087 | − | 0.0163263i | ||||
\(431\) | −29.9912 | − | 9.74472i | −1.44462 | − | 0.469386i | −0.521288 | − | 0.853381i | \(-0.674548\pi\) |
−0.923335 | + | 0.383995i | \(0.874548\pi\) | |||||||
\(432\) | −0.475727 | − | 9.97586i | −0.0228884 | − | 0.479964i | ||||
\(433\) | 8.05857 | + | 15.8158i | 0.387270 | + | 0.760061i | 0.999532 | − | 0.0305947i | \(-0.00974011\pi\) |
−0.612262 | + | 0.790655i | \(0.709740\pi\) | |||||||
\(434\) | −3.04275 | + | 2.21069i | −0.146057 | + | 0.106116i | ||||
\(435\) | −9.09465 | + | 2.40142i | −0.436055 | + | 0.115139i | ||||
\(436\) | −7.46078 | − | 5.42057i | −0.357306 | − | 0.259598i | ||||
\(437\) | 1.87133 | − | 11.8151i | 0.0895178 | − | 0.565193i | ||||
\(438\) | 6.05306 | + | 2.58059i | 0.289226 | + | 0.123305i | ||||
\(439\) | −1.25266 | + | 1.72413i | −0.0597861 | + | 0.0822885i | −0.837863 | − | 0.545880i | \(-0.816195\pi\) |
0.778077 | + | 0.628169i | \(0.216195\pi\) | |||||||
\(440\) | 15.9990 | − | 8.82504i | 0.762721 | − | 0.420717i | ||||
\(441\) | 16.1746 | − | 2.22144i | 0.770219 | − | 0.105783i | ||||
\(442\) | 20.5896 | − | 10.4909i | 0.979347 | − | 0.499002i | ||||
\(443\) | 2.69802 | + | 2.69802i | 0.128187 | + | 0.128187i | 0.768289 | − | 0.640103i | \(-0.221108\pi\) |
−0.640103 | + | 0.768289i | \(0.721108\pi\) | |||||||
\(444\) | −9.25652 | − | 5.80434i | −0.439295 | − | 0.275462i | ||||
\(445\) | 0.0488381 | + | 1.48698i | 0.00231515 | + | 0.0704894i | ||||
\(446\) | 14.2495 | − | 4.62995i | 0.674735 | − | 0.219235i | ||||
\(447\) | −23.8727 | − | 20.8181i | −1.12914 | − | 0.984662i | ||||
\(448\) | −10.2465 | + | 1.62288i | −0.484100 | + | 0.0766740i | ||||
\(449\) | −13.1560 | −0.620872 | −0.310436 | − | 0.950594i | \(-0.600475\pi\) | ||||
−0.310436 | + | 0.950594i | \(0.600475\pi\) | |||||||
\(450\) | −16.7239 | + | 0.754292i | −0.788371 | + | 0.0355576i | ||||
\(451\) | −12.2151 | −0.575189 | ||||||||
\(452\) | −10.2382 | + | 1.62158i | −0.481566 | + | 0.0762726i | ||||
\(453\) | −1.51945 | − | 1.32503i | −0.0713901 | − | 0.0622555i | ||||
\(454\) | −12.4658 | + | 4.05039i | −0.585050 | + | 0.190094i | ||||
\(455\) | 7.44969 | + | 2.15290i | 0.349247 | + | 0.100930i | ||||
\(456\) | 19.9198 | + | 12.4908i | 0.932830 | + | 0.584934i | ||||
\(457\) | 5.98333 | + | 5.98333i | 0.279888 | + | 0.279888i | 0.833064 | − | 0.553176i | \(-0.186584\pi\) |
−0.553176 | + | 0.833064i | \(0.686584\pi\) | |||||||
\(458\) | 8.12193 | − | 4.13833i | 0.379513 | − | 0.193371i | ||||
\(459\) | −38.4900 | − | 4.22877i | −1.79656 | − | 0.197382i | ||||
\(460\) | −1.93987 | + | 4.13763i | −0.0904469 | + | 0.192918i | ||||
\(461\) | 23.7063 | − | 32.6290i | 1.10411 | − | 1.51968i | 0.274297 | − | 0.961645i | \(-0.411555\pi\) |
0.829816 | − | 0.558037i | \(-0.188445\pi\) | |||||||
\(462\) | −5.89957 | − | 2.51515i | −0.274473 | − | 0.117016i | ||||
\(463\) | −1.14550 | + | 7.23237i | −0.0532357 | + | 0.336117i | 0.946668 | + | 0.322212i | \(0.104426\pi\) |
−0.999903 | + | 0.0139051i | \(0.995574\pi\) | |||||||
\(464\) | 3.77655 | + | 2.74382i | 0.175322 | + | 0.127379i | ||||
\(465\) | −9.74866 | − | 3.78297i | −0.452083 | − | 0.175431i | ||||
\(466\) | 16.6152 | − | 12.0716i | 0.769684 | − | 0.559208i | ||||
\(467\) | 17.6121 | + | 34.5656i | 0.814989 | + | 1.59951i | 0.800289 | + | 0.599615i | \(0.204680\pi\) |
0.0147007 | + | 0.999892i | \(0.495320\pi\) | |||||||
\(468\) | −6.01934 | + | 1.81966i | −0.278244 | + | 0.0841137i | ||||
\(469\) | 14.3969 | + | 4.67783i | 0.664786 | + | 0.216002i | ||||
\(470\) | 0.926779 | + | 2.56283i | 0.0427491 | + | 0.118215i | ||||
\(471\) | 0.911326 | + | 13.3332i | 0.0419917 | + | 0.614363i | ||||
\(472\) | −18.3986 | + | 36.1092i | −0.846863 | + | 1.66206i | ||||
\(473\) | 1.71844 | + | 10.8498i | 0.0790141 | + | 0.498875i | ||||
\(474\) | −19.8242 | − | 4.97580i | −0.910557 | − | 0.228546i | ||||
\(475\) | 11.7778 | − | 18.6756i | 0.540403 | − | 0.856893i | ||||
\(476\) | 7.01687i | 0.321618i | ||||||||
\(477\) | 4.56877 | + | 1.58921i | 0.209190 | + | 0.0727651i | ||||
\(478\) | −11.8145 | − | 6.01979i | −0.540382 | − | 0.275339i | ||||
\(479\) | −6.63979 | − | 20.4352i | −0.303380 | − | 0.933707i | −0.980277 | − | 0.197629i | \(-0.936676\pi\) |
0.676897 | − | 0.736078i | \(-0.263324\pi\) | |||||||
\(480\) | −10.3320 | − | 11.5593i | −0.471590 | − | 0.527608i | ||||
\(481\) | 7.17918 | − | 22.0952i | 0.327342 | − | 1.00746i | ||||
\(482\) | −11.7104 | + | 11.7104i | −0.533395 | + | 0.533395i | ||||
\(483\) | 5.70831 | − | 1.30844i | 0.259737 | − | 0.0595359i | ||||
\(484\) | −1.74466 | − | 2.40131i | −0.0793025 | − | 0.109151i | ||||
\(485\) | 0.405977 | − | 0.0780403i | 0.0184345 | − | 0.00354363i | ||||
\(486\) | −16.6855 | − | 4.92652i | −0.756871 | − | 0.223471i | ||||
\(487\) | −21.3247 | − | 3.37749i | −0.966312 | − | 0.153049i | −0.346716 | − | 0.937970i | \(-0.612703\pi\) |
−0.619596 | + | 0.784921i | \(0.712703\pi\) | |||||||
\(488\) | −4.01546 | − | 0.635986i | −0.181771 | − | 0.0287897i | ||||
\(489\) | −9.05442 | + | 7.57338i | −0.409455 | + | 0.342480i | ||||
\(490\) | −9.28303 | + | 9.91352i | −0.419365 | + | 0.447847i | ||||
\(491\) | −13.1800 | − | 18.1407i | −0.594803 | − | 0.818676i | 0.400417 | − | 0.916333i | \(-0.368865\pi\) |
−0.995220 | + | 0.0976566i | \(0.968865\pi\) | |||||||
\(492\) | 1.34159 | + | 5.85296i | 0.0604836 | + | 0.263872i | ||||
\(493\) | 12.7977 | − | 12.7977i | 0.576380 | − | 0.576380i | ||||
\(494\) | −4.23147 | + | 13.0231i | −0.190383 | + | 0.585939i | ||||
\(495\) | −3.00476 | − | 17.5762i | −0.135054 | − | 0.789990i | ||||
\(496\) | 1.60362 | + | 4.93544i | 0.0720048 | + | 0.221608i | ||||
\(497\) | 14.4211 | + | 7.34790i | 0.646873 | + | 0.329598i | ||||
\(498\) | 0.794698 | + | 0.0707840i | 0.0356113 | + | 0.00317191i | ||||
\(499\) | 36.6812i | 1.64208i | 0.570873 | + | 0.821038i | \(0.306605\pi\) | ||||
−0.570873 | + | 0.821038i | \(0.693395\pi\) | |||||||
\(500\) | −6.30312 | + | 5.60472i | −0.281884 | + | 0.250651i | ||||
\(501\) | 5.90581 | − | 23.5296i | 0.263852 | − | 1.05122i | ||||
\(502\) | −2.52370 | − | 15.9340i | −0.112638 | − | 0.711169i | ||||
\(503\) | −8.12563 | + | 15.9474i | −0.362304 | + | 0.711062i | −0.998153 | − | 0.0607520i | \(-0.980650\pi\) |
0.635849 | + | 0.771814i | \(0.280650\pi\) | |||||||
\(504\) | −2.03438 | + | 11.3295i | −0.0906183 | + | 0.504654i | ||||
\(505\) | −15.1481 | + | 11.7845i | −0.674081 | + | 0.524401i | ||||
\(506\) | 7.64311 | + | 2.48340i | 0.339778 | + | 0.110401i | ||||
\(507\) | 4.69785 | + | 7.84641i | 0.208639 | + | 0.348471i | ||||
\(508\) | 2.93011 | + | 5.75067i | 0.130003 | + | 0.255145i | ||||
\(509\) | 0.408936 | − | 0.297109i | 0.0181258 | − | 0.0131691i | −0.578685 | − | 0.815551i | \(-0.696434\pi\) |
0.596811 | + | 0.802382i | \(0.296434\pi\) | |||||||
\(510\) | 27.0782 | − | 17.4448i | 1.19904 | − | 0.772469i | ||||
\(511\) | −3.43725 | − | 2.49731i | −0.152055 | − | 0.110475i | ||||
\(512\) | −3.05220 | + | 19.2708i | −0.134890 | + | 0.851659i | ||||
\(513\) | 17.8997 | − | 14.3559i | 0.790292 | − | 0.633829i | ||||
\(514\) | −1.94416 | + | 2.67591i | −0.0857534 | + | 0.118029i | ||||
\(515\) | 2.32439 | + | 12.0918i | 0.102425 | + | 0.532830i | ||||
\(516\) | 5.01002 | − | 2.01504i | 0.220554 | − | 0.0887071i | ||||
\(517\) | −2.58637 | + | 1.31782i | −0.113748 | + | 0.0579576i | ||||
\(518\) | −8.23606 | − | 8.23606i | −0.361872 | − | 0.361872i | ||||
\(519\) | −14.0908 | + | 22.4714i | −0.618517 | + | 0.986387i | ||||
\(520\) | 10.7128 | − | 15.8115i | 0.469788 | − | 0.693382i | ||||
\(521\) | 4.09260 | − | 1.32977i | 0.179300 | − | 0.0582581i | −0.217991 | − | 0.975951i | \(-0.569950\pi\) |
0.397291 | + | 0.917693i | \(0.369950\pi\) | |||||||
\(522\) | 6.67575 | − | 4.64325i | 0.292190 | − | 0.203230i | ||||
\(523\) | 34.2483 | − | 5.42440i | 1.49757 | − | 0.237192i | 0.646774 | − | 0.762682i | \(-0.276118\pi\) |
0.850800 | + | 0.525490i | \(0.176118\pi\) | |||||||
\(524\) | −2.90047 | −0.126708 | ||||||||
\(525\) | 10.6341 | + | 1.93784i | 0.464109 | + | 0.0845742i | ||||
\(526\) | 0.836681 | 0.0364810 | ||||||||
\(527\) | 19.8724 | − | 3.14748i | 0.865654 | − | 0.137106i | ||||
\(528\) | −5.81596 | + | 6.66933i | −0.253107 | + | 0.290245i | ||||
\(529\) | 14.8950 | − | 4.83967i | 0.647608 | − | 0.210421i | ||||
\(530\) | −3.78412 | + | 1.36842i | −0.164372 | + | 0.0594405i | ||||
\(531\) | 27.3841 | + | 28.5357i | 1.18837 | + | 1.23834i | ||||
\(532\) | −2.94016 | − | 2.94016i | −0.127472 | − | 0.127472i | ||||
\(533\) | −11.3766 | + | 5.79669i | −0.492777 | + | 0.251082i | ||||
\(534\) | −0.479938 | − | 1.19328i | −0.0207690 | − | 0.0516382i | ||||
\(535\) | 14.5007 | + | 1.81100i | 0.626919 | + | 0.0782964i | ||||
\(536\) | 21.9146 | − | 30.1628i | 0.946566 | − | 1.30284i | ||||
\(537\) | −1.17001 | + | 2.74438i | −0.0504895 | + | 0.118429i | ||||
\(538\) | −5.21554 | + | 32.9296i | −0.224858 | + | 1.41970i | ||||
\(539\) | −11.7031 | − | 8.50281i | −0.504089 | − | 0.366242i | ||||
\(540\) | −8.09171 | + | 3.37014i | −0.348212 | + | 0.145028i | ||||
\(541\) | −24.1809 | + | 17.5685i | −1.03962 | + | 0.755328i | −0.970211 | − | 0.242260i | \(-0.922111\pi\) |
−0.0694085 | + | 0.997588i | \(0.522111\pi\) | |||||||
\(542\) | −0.456348 | − | 0.895633i | −0.0196018 | − | 0.0384707i | ||||
\(543\) | 17.8916 | − | 10.7122i | 0.767801 | − | 0.459703i | ||||
\(544\) | 28.3707 | + | 9.21821i | 1.21639 | + | 0.395228i | ||||
\(545\) | 7.58875 | − | 26.2594i | 0.325066 | − | 1.12483i | ||||
\(546\) | −6.68816 | + | 0.457135i | −0.286227 | + | 0.0195636i | ||||
\(547\) | 8.42666 | − | 16.5383i | 0.360298 | − | 0.707125i | −0.637706 | − | 0.770280i | \(-0.720116\pi\) |
0.998004 | + | 0.0631553i | \(0.0201164\pi\) | |||||||
\(548\) | −0.367915 | − | 2.32292i | −0.0157165 | − | 0.0992303i | ||||
\(549\) | −1.87363 | + | 3.49726i | −0.0799646 | + | 0.149259i | ||||
\(550\) | 11.1542 | + | 9.77772i | 0.475616 | + | 0.416924i | ||||
\(551\) | 10.7248i | 0.456893i | ||||||||
\(552\) | 1.27967 | − | 14.3669i | 0.0544662 | − | 0.611497i | ||||
\(553\) | 11.7587 | + | 5.99135i | 0.500031 | + | 0.254778i | ||||
\(554\) | −9.42351 | − | 29.0026i | −0.400367 | − | 1.23220i | ||||
\(555\) | 6.84839 | − | 31.6516i | 0.290698 | − | 1.34353i | ||||
\(556\) | −3.59786 | + | 11.0731i | −0.152583 | + | 0.469602i | ||||
\(557\) | 11.0990 | − | 11.0990i | 0.470279 | − | 0.470279i | −0.431726 | − | 0.902005i | \(-0.642095\pi\) |
0.902005 | + | 0.431726i | \(0.142095\pi\) | |||||||
\(558\) | 9.03805 | + | 0.186138i | 0.382611 | + | 0.00787987i | ||||
\(559\) | 6.74925 | + | 9.28955i | 0.285463 | + | 0.392906i | ||||
\(560\) | −2.59091 | − | 4.69707i | −0.109486 | − | 0.198487i | ||||
\(561\) | 22.0120 | + | 26.3167i | 0.929348 | + | 1.11109i | ||||
\(562\) | 18.0970 | + | 2.86628i | 0.763376 | + | 0.120907i | ||||
\(563\) | −12.4123 | − | 1.96592i | −0.523118 | − | 0.0828537i | −0.110709 | − | 0.993853i | \(-0.535312\pi\) |
−0.412408 | + | 0.910999i | \(0.635312\pi\) | |||||||
\(564\) | 0.915502 | + | 1.09454i | 0.0385496 | + | 0.0460883i | ||||
\(565\) | −14.8396 | − | 26.9029i | −0.624308 | − | 1.13181i | ||||
\(566\) | −13.2289 | − | 18.2080i | −0.556052 | − | 0.765340i | ||||
\(567\) | 9.79044 | + | 5.50756i | 0.411160 | + | 0.231296i | ||||
\(568\) | 28.1874 | − | 28.1874i | 1.18272 | − | 1.18272i | ||||
\(569\) | 12.7722 | − | 39.3089i | 0.535441 | − | 1.64792i | −0.207255 | − | 0.978287i | \(-0.566453\pi\) |
0.742695 | − | 0.669630i | \(-0.233547\pi\) | |||||||
\(570\) | −4.03650 | + | 18.6557i | −0.169070 | + | 0.781402i | ||||
\(571\) | −0.0344306 | − | 0.105967i | −0.00144088 | − | 0.00443456i | 0.950333 | − | 0.311233i | \(-0.100742\pi\) |
−0.951774 | + | 0.306799i | \(0.900742\pi\) | |||||||
\(572\) | 4.96445 | + | 2.52952i | 0.207574 | + | 0.105764i | ||||
\(573\) | −3.05150 | + | 34.2595i | −0.127478 | + | 1.43121i | ||||
\(574\) | 6.40141i | 0.267190i | ||||||||
\(575\) | −13.4883 | − | 1.23648i | −0.562500 | − | 0.0515649i | ||||
\(576\) | 21.9796 | + | 11.7754i | 0.915817 | + | 0.490642i | ||||
\(577\) | 1.27270 | + | 8.03550i | 0.0529831 | + | 0.334522i | 0.999914 | + | 0.0130861i | \(0.00416555\pi\) |
−0.946931 | + | 0.321436i | \(0.895834\pi\) | |||||||
\(578\) | −19.5234 | + | 38.3168i | −0.812066 | + | 1.59377i | ||||
\(579\) | −23.5776 | + | 1.61153i | −0.979851 | + | 0.0669728i | ||||
\(580\) | 1.13746 | − | 3.93597i | 0.0472306 | − | 0.163432i | ||||
\(581\) | −0.489937 | − | 0.159190i | −0.0203260 | − | 0.00660432i | ||||
\(582\) | −0.306632 | + | 0.183589i | −0.0127103 | + | 0.00761001i | ||||
\(583\) | −1.94581 | − | 3.81887i | −0.0805872 | − | 0.158161i | ||||
\(584\) | −8.46573 | + | 6.15071i | −0.350314 | + | 0.254518i | ||||
\(585\) | −11.1393 | − | 14.9438i | −0.460552 | − | 0.617848i | ||||
\(586\) | 6.19366 | + | 4.49996i | 0.255858 | + | 0.185891i | ||||
\(587\) | −3.37081 | + | 21.2824i | −0.139128 | + | 0.878421i | 0.815096 | + | 0.579327i | \(0.196684\pi\) |
−0.954224 | + | 0.299094i | \(0.903316\pi\) | |||||||
\(588\) | −2.78882 | + | 6.54148i | −0.115009 | + | 0.269766i | ||||
\(589\) | −7.00795 | + | 9.64562i | −0.288758 | + | 0.397441i | ||||
\(590\) | −32.6462 | − | 4.07721i | −1.34402 | − | 0.167856i | ||||
\(591\) | 5.70393 | + | 14.1818i | 0.234628 | + | 0.583360i | ||||
\(592\) | −14.3195 | + | 7.29613i | −0.588527 | + | 0.299869i | ||||
\(593\) | −3.86543 | − | 3.86543i | −0.158734 | − | 0.158734i | 0.623271 | − | 0.782006i | \(-0.285803\pi\) |
−0.782006 | + | 0.623271i | \(0.785803\pi\) | |||||||
\(594\) | 7.64454 | + | 13.3859i | 0.313659 | + | 0.549230i | ||||
\(595\) | −19.5584 | + | 7.07274i | −0.801814 | + | 0.289954i | ||||
\(596\) | 13.1211 | − | 4.26330i | 0.537461 | − | 0.174632i | ||||
\(597\) | −8.08228 | + | 9.26819i | −0.330786 | + | 0.379322i | ||||
\(598\) | 8.29695 | − | 1.31411i | 0.339287 | − | 0.0537379i | ||||
\(599\) | 15.4552 | 0.631483 | 0.315741 | − | 0.948845i | \(-0.397747\pi\) | ||||
0.315741 | + | 0.948845i | \(0.397747\pi\) | |||||||
\(600\) | 12.6327 | − | 23.4343i | 0.515726 | − | 0.956701i | ||||
\(601\) | 8.50011 | 0.346727 | 0.173363 | − | 0.984858i | \(-0.444537\pi\) | ||||
0.173363 | + | 0.984858i | \(0.444537\pi\) | |||||||
\(602\) | 5.68590 | − | 0.900558i | 0.231740 | − | 0.0367040i | ||||
\(603\) | −20.7758 | − | 29.8700i | −0.846056 | − | 1.21640i | ||||
\(604\) | 0.835133 | − | 0.271351i | 0.0339811 | − | 0.0110411i | ||||
\(605\) | 4.93471 | − | 7.28337i | 0.200624 | − | 0.296111i | ||||
\(606\) | 8.81423 | − | 14.0566i | 0.358054 | − | 0.571009i | ||||
\(607\) | −17.4234 | − | 17.4234i | −0.707193 | − | 0.707193i | 0.258751 | − | 0.965944i | \(-0.416689\pi\) |
−0.965944 | + | 0.258751i | \(0.916689\pi\) | |||||||
\(608\) | −15.7503 | + | 8.02516i | −0.638758 | + | 0.325463i | ||||
\(609\) | −4.87125 | + | 1.95922i | −0.197393 | + | 0.0793918i | ||||
\(610\) | −0.623031 | − | 3.24110i | −0.0252258 | − | 0.131228i | ||||
\(611\) | −1.78346 | + | 2.45472i | −0.0721509 | + | 0.0993072i | ||||
\(612\) | 10.1922 | − | 13.4375i | 0.411995 | − | 0.543180i | ||||
\(613\) | −1.85126 | + | 11.6884i | −0.0747715 | + | 0.472089i | 0.921682 | + | 0.387946i | \(0.126815\pi\) |
−0.996454 | + | 0.0841430i | \(0.973185\pi\) | |||||||
\(614\) | 5.38683 | + | 3.91376i | 0.217395 | + | 0.157947i | ||||
\(615\) | −14.9619 | + | 9.63902i | −0.603321 | + | 0.388683i | ||||
\(616\) | 8.25107 | − | 5.99475i | 0.332445 | − | 0.241536i | ||||
\(617\) | 6.02215 | + | 11.8191i | 0.242443 | + | 0.475820i | 0.979878 | − | 0.199597i | \(-0.0639634\pi\) |
−0.737435 | + | 0.675418i | \(0.763963\pi\) | |||||||
\(618\) | −5.46811 | − | 9.13290i | −0.219960 | − | 0.367379i | ||||
\(619\) | −20.9872 | − | 6.81915i | −0.843546 | − | 0.274085i | −0.144806 | − | 0.989460i | \(-0.546256\pi\) |
−0.698740 | + | 0.715375i | \(0.746256\pi\) | |||||||
\(620\) | 3.59490 | − | 2.79665i | 0.144375 | − | 0.112316i | ||||
\(621\) | −12.8321 | − | 5.78578i | −0.514936 | − | 0.232175i | ||||
\(622\) | −3.94812 | + | 7.74863i | −0.158305 | + | 0.310692i | ||||
\(623\) | 0.129912 | + | 0.820231i | 0.00520481 | + | 0.0328619i | ||||
\(624\) | −2.25180 | + | 8.97147i | −0.0901442 | + | 0.359146i | ||||
\(625\) | −21.9755 | − | 11.9195i | −0.879022 | − | 0.476782i | ||||
\(626\) | − | 27.1702i | − | 1.08594i | ||||||
\(627\) | −20.2503 | − | 1.80370i | −0.808721 | − | 0.0720330i | ||||
\(628\) | −5.18653 | − | 2.64267i | −0.206965 | − | 0.105454i | ||||
\(629\) | 19.2548 | + | 59.2601i | 0.767738 | + | 2.36285i | ||||
\(630\) | −9.21088 | + | 1.57466i | −0.366970 | + | 0.0627359i | ||||
\(631\) | −1.89071 | + | 5.81900i | −0.0752678 | + | 0.231651i | −0.981611 | − | 0.190891i | \(-0.938862\pi\) |
0.906343 | + | 0.422542i | \(0.138862\pi\) | |||||||
\(632\) | 22.9835 | − | 22.9835i | 0.914235 | − | 0.914235i | ||||
\(633\) | 5.76160 | + | 25.1362i | 0.229003 | + | 0.999073i | ||||
\(634\) | −18.1367 | − | 24.9630i | −0.720299 | − | 0.991406i | ||||
\(635\) | −13.0756 | + | 13.9637i | −0.518889 | + | 0.554131i | ||||
\(636\) | −1.61612 | + | 1.35177i | −0.0640835 | + | 0.0536013i | ||||
\(637\) | −14.9348 | − | 2.36543i | −0.591737 | − | 0.0937219i | ||||
\(638\) | −7.11633 | − | 1.12712i | −0.281738 | − | 0.0446230i | ||||
\(639\) | −16.9438 | − | 35.0185i | −0.670286 | − | 1.38531i | ||||
\(640\) | −2.78929 | + | 0.536180i | −0.110256 | + | 0.0211944i | ||||
\(641\) | 9.64008 | + | 13.2684i | 0.380760 | + | 0.524071i | 0.955786 | − | 0.294064i | \(-0.0950079\pi\) |
−0.575026 | + | 0.818135i | \(0.695008\pi\) | |||||||
\(642\) | −12.3138 | + | 2.82252i | −0.485987 | + | 0.111396i | ||||
\(643\) | −26.0956 | + | 26.0956i | −1.02911 | + | 1.02911i | −0.0295461 | + | 0.999563i | \(0.509406\pi\) |
−0.999563 | + | 0.0295461i | \(0.990594\pi\) | |||||||
\(644\) | −0.788239 | + | 2.42595i | −0.0310610 | + | 0.0955958i | ||||
\(645\) | 10.6665 | + | 11.9335i | 0.419993 | + | 0.469881i | ||||
\(646\) | −11.3489 | − | 34.9284i | −0.446518 | − | 1.37424i | ||||
\(647\) | 26.5183 | + | 13.5118i | 1.04254 | + | 0.531202i | 0.889461 | − | 0.457011i | \(-0.151080\pi\) |
0.153082 | + | 0.988213i | \(0.451080\pi\) | |||||||
\(648\) | 20.3523 | − | 18.7413i | 0.799512 | − | 0.736228i | ||||
\(649\) | − | 35.0425i | − | 1.37554i | ||||||
\(650\) | 15.0285 | + | 3.81333i | 0.589467 | + | 0.149571i | ||||
\(651\) | −5.66129 | − | 1.42096i | −0.221884 | − | 0.0556918i | ||||
\(652\) | −0.804297 | − | 5.07813i | −0.0314987 | − | 0.198875i | ||||
\(653\) | −0.280288 | + | 0.550097i | −0.0109685 | + | 0.0215270i | −0.896426 | − | 0.443194i | \(-0.853845\pi\) |
0.885457 | + | 0.464721i | \(0.153845\pi\) | |||||||
\(654\) | 1.61135 | + | 23.5751i | 0.0630090 | + | 0.921858i | ||||
\(655\) | −2.92357 | − | 8.08457i | −0.114233 | − | 0.315890i | ||||
\(656\) | 8.40027 | + | 2.72941i | 0.327975 | + | 0.106566i | ||||
\(657\) | 2.95504 | + | 9.77514i | 0.115287 | + | 0.381364i | ||||
\(658\) | 0.690610 | + | 1.35540i | 0.0269228 | + | 0.0528389i | ||||
\(659\) | 12.0048 | − | 8.72197i | 0.467639 | − | 0.339760i | −0.328882 | − | 0.944371i | \(-0.606672\pi\) |
0.796520 | + | 0.604612i | \(0.206672\pi\) | |||||||
\(660\) | 7.24051 | + | 2.80968i | 0.281836 | + | 0.109367i | ||||
\(661\) | −14.7625 | − | 10.7256i | −0.574196 | − | 0.417178i | 0.262431 | − | 0.964951i | \(-0.415476\pi\) |
−0.836627 | + | 0.547773i | \(0.815476\pi\) | |||||||
\(662\) | 3.75549 | − | 23.7113i | 0.145961 | − | 0.921564i | ||||
\(663\) | 32.9895 | + | 14.0644i | 1.28121 | + | 0.546215i | ||||
\(664\) | −0.745771 | + | 1.02647i | −0.0289415 | + | 0.0398346i | ||||
\(665\) | 5.23163 | − | 11.1588i | 0.202874 | − | 0.432719i | ||||
\(666\) | 3.80923 | + | 27.7354i | 0.147604 | + | 1.07473i | ||||
\(667\) | 5.86219 | − | 2.98694i | 0.226985 | − | 0.115655i | ||||
\(668\) | 7.47160 | + | 7.47160i | 0.289085 | + | 0.289085i | ||||
\(669\) | 19.6998 | + | 12.3528i | 0.761638 | + | 0.477588i | ||||
\(670\) | 29.0772 | + | 8.40308i | 1.12335 | + | 0.324639i | ||||
\(671\) | 3.34333 | − | 1.08631i | 0.129068 | − | 0.0419367i | ||||
\(672\) | −6.52233 | − | 5.68777i | −0.251605 | − | 0.219411i | ||||
\(673\) | −15.1726 | + | 2.40310i | −0.584859 | + | 0.0926325i | −0.441850 | − | 0.897089i | \(-0.645678\pi\) |
−0.143009 | + | 0.989721i | \(0.545678\pi\) | |||||||
\(674\) | −17.8762 | −0.688565 | ||||||||
\(675\) | −17.5498 | − | 19.1573i | −0.675494 | − | 0.737365i | ||||
\(676\) | −3.98332 | −0.153204 | ||||||||
\(677\) | −26.3740 | + | 4.17723i | −1.01364 | + | 0.160544i | −0.641087 | − | 0.767468i | \(-0.721516\pi\) |
−0.372549 | + | 0.928013i | \(0.621516\pi\) | |||||||
\(678\) | 20.0185 | + | 17.4570i | 0.768804 | + | 0.670432i | ||||
\(679\) | 0.219465 | − | 0.0713085i | 0.00842229 | − | 0.00273657i | ||||
\(680\) | 1.68149 | + | 51.1963i | 0.0644820 | + | 1.96329i | ||||
\(681\) | −17.2338 | − | 10.8065i | −0.660402 | − | 0.414108i | ||||
\(682\) | −5.66375 | − | 5.66375i | −0.216876 | − | 0.216876i | ||||
\(683\) | −7.27412 | + | 3.70635i | −0.278337 | + | 0.141820i | −0.587587 | − | 0.809161i | \(-0.699922\pi\) |
0.309250 | + | 0.950981i | \(0.399922\pi\) | |||||||
\(684\) | 1.35984 | + | 9.90117i | 0.0519948 | + | 0.378581i | ||||
\(685\) | 6.10391 | − | 3.36692i | 0.233218 | − | 0.128643i | ||||
\(686\) | −10.1874 | + | 14.0218i | −0.388958 | + | 0.535354i | ||||
\(687\) | 13.0133 | + | 5.54794i | 0.496489 | + | 0.211667i | ||||
\(688\) | 1.24258 | − | 7.84532i | 0.0473728 | − | 0.299100i | ||||
\(689\) | −3.62448 | − | 2.63334i | −0.138082 | − | 0.100322i | ||||
\(690\) | 11.3214 | − | 2.98939i | 0.430999 | − | 0.113804i | ||||
\(691\) | 14.3926 | − | 10.4568i | 0.547519 | − | 0.397796i | −0.279351 | − | 0.960189i | \(-0.590119\pi\) |
0.826870 | + | 0.562393i | \(0.190119\pi\) | |||||||
\(692\) | −5.24484 | − | 10.2936i | −0.199379 | − | 0.391303i | ||||
\(693\) | −2.88011 | − | 9.52727i | −0.109406 | − | 0.361911i | ||||
\(694\) | −22.3882 | − | 7.27436i | −0.849844 | − | 0.276131i | ||||
\(695\) | −34.4908 | + | 1.13281i | −1.30831 | + | 0.0429700i | ||||
\(696\) | 0.881817 | + | 12.9015i | 0.0334252 | + | 0.489030i | ||||
\(697\) | 15.5469 | − | 30.5125i | 0.588880 | − | 1.15574i | ||||
\(698\) | −3.60955 | − | 22.7898i | −0.136623 | − | 0.862606i | ||||
\(699\) | 30.9140 | + | 7.75927i | 1.16927 | + | 0.293483i | ||||
\(700\) | −3.10348 | + | 3.54037i | −0.117301 | + | 0.133814i | ||||
\(701\) | − | 2.15757i | − | 0.0814902i | −0.999170 | − | 0.0407451i | \(-0.987027\pi\) | ||
0.999170 | − | 0.0407451i | \(-0.0129732\pi\) | |||||||
\(702\) | 13.4721 | + | 8.83931i | 0.508470 | + | 0.333618i | ||||
\(703\) | −32.8988 | − | 16.7628i | −1.24080 | − | 0.632219i | ||||
\(704\) | −6.82728 | − | 21.0122i | −0.257313 | − | 0.791927i | ||||
\(705\) | −2.12805 | + | 3.65506i | −0.0801468 | + | 0.137657i | ||||
\(706\) | −0.959948 | + | 2.95442i | −0.0361281 | + | 0.111191i | ||||
\(707\) | −7.57506 | + | 7.57506i | −0.284889 | + | 0.284889i | ||||
\(708\) | −16.7908 | + | 3.84872i | −0.631037 | + | 0.144644i | ||||
\(709\) | 11.3918 | + | 15.6795i | 0.427828 | + | 0.588855i | 0.967453 | − | 0.253051i | \(-0.0814340\pi\) |
−0.539625 | + | 0.841905i | \(0.681434\pi\) | |||||||
\(710\) | 29.3008 | + | 13.7373i | 1.09964 | + | 0.515551i | ||||
\(711\) | −13.8157 | − | 28.5535i | −0.518129 | − | 1.07084i | ||||
\(712\) | 2.02018 | + | 0.319964i | 0.0757093 | + | 0.0119912i | ||||
\(713\) | 7.22406 | + | 1.14418i | 0.270543 | + | 0.0428499i | ||||
\(714\) | 13.7914 | − | 11.5355i | 0.516129 | − | 0.431705i | ||||
\(715\) | −2.04662 | + | 16.3872i | −0.0765391 | + | 0.612848i | ||||
\(716\) | −0.763792 | − | 1.05127i | −0.0285442 | − | 0.0392878i | ||||
\(717\) | −4.59762 | − | 20.0580i | −0.171701 | − | 0.749081i | ||||
\(718\) | −0.618003 | + | 0.618003i | −0.0230637 | + | 0.0230637i | ||||
\(719\) | 7.82444 | − | 24.0812i | 0.291802 | − | 0.898075i | −0.692474 | − | 0.721442i | \(-0.743479\pi\) |
0.984277 | − | 0.176633i | \(-0.0565206\pi\) | |||||||
\(720\) | −1.86095 | + | 12.7584i | −0.0693537 | + | 0.475478i | ||||
\(721\) | 2.12389 | + | 6.53666i | 0.0790978 | + | 0.243438i | ||||
\(722\) | 0.496930 | + | 0.253198i | 0.0184938 | + | 0.00942307i | ||||
\(723\) | −25.6003 | − | 2.28023i | −0.952085 | − | 0.0848025i | ||||
\(724\) | 9.08285i | 0.337562i | ||||||||
\(725\) | 12.1174 | − | 0.796824i | 0.450028 | − | 0.0295933i | ||||
\(726\) | −1.85152 | + | 7.37672i | −0.0687165 | + | 0.273776i | ||||
\(727\) | 6.62590 | + | 41.8343i | 0.245741 | + | 1.55155i | 0.734184 | + | 0.678951i | \(0.237565\pi\) |
−0.488443 | + | 0.872596i | \(0.662435\pi\) | |||||||
\(728\) | 4.83987 | − | 9.49879i | 0.179378 | − | 0.352048i | ||||
\(729\) | −10.7491 | − | 24.7680i | −0.398117 | − | 0.917335i | ||||
\(730\) | −7.03280 | − | 4.76494i | −0.260295 | − | 0.176358i | ||||
\(731\) | −29.2892 | − | 9.51662i | −1.08330 | − | 0.351985i | ||||
\(732\) | −0.887711 | − | 1.48267i | −0.0328108 | − | 0.0548009i | ||||
\(733\) | −16.7158 | − | 32.8065i | −0.617411 | − | 1.21174i | −0.962017 | − | 0.272989i | \(-0.911988\pi\) |
0.344606 | − | 0.938747i | \(-0.388012\pi\) | |||||||
\(734\) | 0.926731 | − | 0.673309i | 0.0342063 | − | 0.0248523i | ||||
\(735\) | −21.0443 | − | 1.17979i | −0.776231 | − | 0.0435173i | ||||
\(736\) | 8.77312 | + | 6.37404i | 0.323381 | + | 0.234950i | ||||
\(737\) | −5.04318 | + | 31.8414i | −0.185768 | + | 1.17289i | ||||
\(738\) | 9.29822 | − | 12.2589i | 0.342272 | − | 0.451256i | ||||
\(739\) | 16.3799 | − | 22.5450i | 0.602544 | − | 0.829330i | −0.393395 | − | 0.919370i | \(-0.628699\pi\) |
0.995938 | + | 0.0900397i | \(0.0286994\pi\) | |||||||
\(740\) | 10.2959 | + | 9.64108i | 0.378485 | + | 0.354413i | ||||
\(741\) | −19.7162 | + | 7.92990i | −0.724293 | + | 0.291312i | ||||
\(742\) | −2.00130 | + | 1.01971i | −0.0734699 | + | 0.0374348i | ||||
\(743\) | 19.4057 | + | 19.4057i | 0.711925 | + | 0.711925i | 0.966938 | − | 0.255013i | \(-0.0820796\pi\) |
−0.255013 | + | 0.966938i | \(0.582080\pi\) | |||||||
\(744\) | −7.63719 | + | 12.1795i | −0.279993 | + | 0.446522i | ||||
\(745\) | 25.1088 | + | 32.2756i | 0.919916 | + | 1.18249i | ||||
\(746\) | −1.29502 | + | 0.420778i | −0.0474141 | + | 0.0154058i | ||||
\(747\) | 0.707017 | + | 1.01650i | 0.0258684 | + | 0.0371918i | ||||
\(748\) | −14.7596 | + | 2.33769i | −0.539664 | + | 0.0854743i | ||||
\(749\) | 8.15694 | 0.298048 | ||||||||
\(750\) | 21.3780 | + | 3.17455i | 0.780613 | + | 0.115918i | ||||
\(751\) | 0.496874 | 0.0181312 | 0.00906559 | − | 0.999959i | \(-0.497114\pi\) | ||||
0.00906559 | + | 0.999959i | \(0.497114\pi\) | |||||||
\(752\) | 2.07309 | − | 0.328344i | 0.0755976 | − | 0.0119735i | ||||
\(753\) | 16.4552 | − | 18.8697i | 0.599662 | − | 0.687650i | ||||
\(754\) | −7.16271 | + | 2.32730i | −0.260850 | + | 0.0847554i | ||||
\(755\) | 1.59813 | + | 2.05428i | 0.0581618 | + | 0.0747629i | ||||
\(756\) | −4.24873 | + | 2.42640i | −0.154525 | + | 0.0882474i | ||||
\(757\) | 18.7871 | + | 18.7871i | 0.682830 | + | 0.682830i | 0.960637 | − | 0.277807i | \(-0.0896075\pi\) |
−0.277807 | + | 0.960637i | \(0.589608\pi\) | |||||||
\(758\) | 26.4502 | − | 13.4771i | 0.960716 | − | 0.489509i | ||||
\(759\) | 4.65395 | + | 11.5712i | 0.168928 | + | 0.420008i | ||||
\(760\) | −22.1565 | − | 20.7474i | −0.803700 | − | 0.752586i | ||||
\(761\) | −25.0980 | + | 34.5444i | −0.909801 | + | 1.25223i | 0.0574336 | + | 0.998349i | \(0.481708\pi\) |
−0.967235 | + | 0.253884i | \(0.918292\pi\) | |||||||
\(762\) | 6.48570 | − | 15.2129i | 0.234952 | − | 0.551106i | ||||
\(763\) | 2.38678 | − | 15.0696i | 0.0864074 | − | 0.545555i | ||||
\(764\) | −12.1200 | − | 8.80569i | −0.438486 | − | 0.318579i | ||||
\(765\) | 47.7282 | + | 14.8645i | 1.72562 | + | 0.537427i | ||||
\(766\) | −3.04954 | + | 2.21562i | −0.110184 | + | 0.0800537i | ||||
\(767\) | −16.6294 | − | 32.6370i | −0.600452 | − | 1.17845i | ||||
\(768\) | −22.5967 | + | 13.5292i | −0.815386 | + | 0.488194i | ||||
\(769\) | 10.9429 | + | 3.55557i | 0.394611 | + | 0.128217i | 0.499600 | − | 0.866256i | \(-0.333480\pi\) |
−0.104988 | + | 0.994473i | \(0.533480\pi\) | |||||||
\(770\) | 6.85447 | + | 4.64412i | 0.247018 | + | 0.167362i | ||||
\(771\) | −5.12125 | + | 0.350037i | −0.184437 | + | 0.0126063i | ||||
\(772\) | 4.67312 | − | 9.17151i | 0.168189 | − | 0.330090i | ||||
\(773\) | −5.24838 | − | 33.1369i | −0.188771 | − | 1.19185i | −0.882040 | − | 0.471174i | \(-0.843830\pi\) |
0.693269 | − | 0.720679i | \(-0.256170\pi\) | |||||||
\(774\) | −12.1968 | − | 6.53432i | −0.438404 | − | 0.234871i | ||||
\(775\) | 11.4187 | + | 7.20126i | 0.410173 | + | 0.258677i | ||||
\(776\) | − | 0.568345i | − | 0.0204024i | ||||||
\(777\) | 1.60371 | − | 18.0050i | 0.0575327 | − | 0.645924i | ||||
\(778\) | 11.9641 | + | 6.09600i | 0.428933 | + | 0.218552i | ||||
\(779\) | 6.27078 | + | 19.2995i | 0.224674 | + | 0.691476i | ||||
\(780\) | 8.07682 | − | 0.819163i | 0.289197 | − | 0.0293307i | ||||
\(781\) | −10.6515 | + | 32.7818i | −0.381139 | + | 1.17303i | ||||
\(782\) | −15.9311 | + | 15.9311i | −0.569697 | + | 0.569697i | ||||
\(783\) | 12.1744 | + | 3.32364i | 0.435078 | + | 0.118777i | ||||
\(784\) | 6.14824 | + | 8.46232i | 0.219580 | + | 0.302226i | ||||
\(785\) | 2.13817 | − | 17.1203i | 0.0763145 | − | 0.611049i | ||||
\(786\) | 4.76827 | + | 5.70075i | 0.170079 | + | 0.203339i | ||||
\(787\) | 33.7274 | + | 5.34189i | 1.20225 | + | 0.190418i | 0.725250 | − | 0.688485i | \(-0.241724\pi\) |
0.477001 | + | 0.878903i | \(0.341724\pi\) | |||||||
\(788\) | −6.57594 | − | 1.04153i | −0.234258 | − | 0.0371029i | ||||
\(789\) | 0.833081 | + | 0.995998i | 0.0296585 | + | 0.0354585i | ||||
\(790\) | 23.8914 | + | 11.2011i | 0.850018 | + | 0.398519i | ||||
\(791\) | −10.0804 | − | 13.8745i | −0.358418 | − | 0.493320i | ||||
\(792\) | −24.5086 | − | 0.504754i | −0.870876 | − | 0.0179357i | ||||
\(793\) | 2.59832 | − | 2.59832i | 0.0922690 | − | 0.0922690i | ||||
\(794\) | −3.92943 | + | 12.0935i | −0.139450 | + | 0.429183i | ||||
\(795\) | −5.39683 | − | 3.14214i | −0.191406 | − | 0.111440i | ||||
\(796\) | −1.65516 | − | 5.09405i | −0.0586655 | − | 0.180554i | ||||
\(797\) | −36.1069 | − | 18.3974i | −1.27897 | − | 0.651668i | −0.323353 | − | 0.946278i | \(-0.604810\pi\) |
−0.955618 | + | 0.294610i | \(0.904810\pi\) | |||||||
\(798\) | −0.945239 | + | 10.6123i | −0.0334611 | + | 0.375671i | ||||
\(799\) | − | 8.13780i | − | 0.287895i | ||||||
\(800\) | 10.2374 | + | 17.1991i | 0.361946 | + | 0.608081i | ||||
\(801\) | 0.942622 | − | 1.75947i | 0.0333059 | − | 0.0621678i | ||||
\(802\) | 4.66096 | + | 29.4281i | 0.164584 | + | 1.03914i | ||||
\(803\) | 4.10782 | − | 8.06205i | 0.144962 | − | 0.284503i | ||||
\(804\) | 15.8109 | − | 1.08067i | 0.557607 | − | 0.0381124i | ||||
\(805\) | −7.55644 | + | 0.248183i | −0.266330 | + | 0.00874730i | ||||
\(806\) | −7.96269 | − | 2.58723i | −0.280474 | − | 0.0911315i | ||||
\(807\) | −44.3931 | + | 26.5793i | −1.56271 | + | 0.935636i | ||||
\(808\) | 11.9785 | + | 23.5090i | 0.421401 | + | 0.827045i | ||||
\(809\) | 29.1563 | − | 21.1833i | 1.02508 | − | 0.744765i | 0.0577632 | − | 0.998330i | \(-0.481603\pi\) |
0.967318 | + | 0.253565i | \(0.0816032\pi\) | |||||||
\(810\) | 19.9264 | + | 10.3635i | 0.700141 | + | 0.364137i | ||||
\(811\) | 22.4026 | + | 16.2764i | 0.786661 | + | 0.571542i | 0.906971 | − | 0.421194i | \(-0.138389\pi\) |
−0.120310 | + | 0.992736i | \(0.538389\pi\) | |||||||
\(812\) | 0.357750 | − | 2.25875i | 0.0125546 | − | 0.0792665i | ||||
\(813\) | 0.611791 | − | 1.43502i | 0.0214564 | − | 0.0503285i | ||||
\(814\) | 14.5802 | − | 20.0679i | 0.511036 | − | 0.703381i | ||||
\(815\) | 13.3437 | − | 7.36041i | 0.467411 | − | 0.257824i | ||||
\(816\) | −9.25717 | − | 23.0162i | −0.324066 | − | 0.805729i | ||||
\(817\) | 16.2601 | − | 8.28495i | 0.568870 | − | 0.289854i | ||||
\(818\) | −16.3376 | − | 16.3376i | −0.571230 | − | 0.571230i | ||||
\(819\) | −7.20357 | − | 7.50652i | −0.251713 | − | 0.262299i | ||||
\(820\) | −0.254472 | − | 7.74792i | −0.00888654 | − | 0.270569i | ||||
\(821\) | −1.42434 | + | 0.462795i | −0.0497097 | + | 0.0161517i | −0.333766 | − | 0.942656i | \(-0.608320\pi\) |
0.284057 | + | 0.958808i | \(0.408320\pi\) | |||||||
\(822\) | −3.96077 | + | 4.54192i | −0.138148 | + | 0.158418i | ||||
\(823\) | 31.7487 | − | 5.02850i | 1.10669 | − | 0.175282i | 0.423766 | − | 0.905772i | \(-0.360708\pi\) |
0.682924 | + | 0.730489i | \(0.260708\pi\) | |||||||
\(824\) | 16.9279 | 0.589711 | ||||||||
\(825\) | −0.533363 | + | 23.0138i | −0.0185693 | + | 0.801236i | ||||
\(826\) | −18.3642 | −0.638971 | ||||||||
\(827\) | 43.5710 | − | 6.90097i | 1.51511 | − | 0.239970i | 0.657180 | − | 0.753734i | \(-0.271749\pi\) |
0.857932 | + | 0.513763i | \(0.171749\pi\) | |||||||
\(828\) | 5.03326 | − | 3.50083i | 0.174918 | − | 0.121662i | ||||
\(829\) | −25.7357 | + | 8.36202i | −0.893836 | + | 0.290425i | −0.719691 | − | 0.694295i | \(-0.755716\pi\) |
−0.174146 | + | 0.984720i | \(0.555716\pi\) | |||||||
\(830\) | −0.989521 | − | 0.285963i | −0.0343468 | − | 0.00992593i | ||||
\(831\) | 25.1421 | − | 40.0957i | 0.872171 | − | 1.39090i | ||||
\(832\) | −16.3299 | − | 16.3299i | −0.566139 | − | 0.566139i | ||||
\(833\) | 36.1346 | − | 18.4115i | 1.25199 | − | 0.637920i | ||||
\(834\) | 27.6784 | − | 11.1323i | 0.958424 | − | 0.385480i | ||||
\(835\) | −13.2947 | + | 28.3569i | −0.460083 | + | 0.981331i | ||||
\(836\) | 5.20494 | − | 7.16398i | 0.180016 | − | 0.247771i | ||||
\(837\) | 8.77758 | + | 10.9444i | 0.303398 | + | 0.378293i | ||||
\(838\) | 1.34675 | − | 8.50302i | 0.0465226 | − | 0.293732i | ||||
\(839\) | 29.9663 | + | 21.7718i | 1.03455 | + | 0.751645i | 0.969214 | − | 0.246218i | \(-0.0791880\pi\) |
0.0653363 | + | 0.997863i | \(0.479188\pi\) | |||||||
\(840\) | 5.37594 | − | 13.8537i | 0.185487 | − | 0.477998i | ||||
\(841\) | 18.6894 | − | 13.5786i | 0.644462 | − | 0.468229i | ||||
\(842\) | −0.145976 | − | 0.286493i | −0.00503065 | − | 0.00987321i | ||||
\(843\) | 14.6071 | + | 24.3969i | 0.503094 | + | 0.840274i | ||||
\(844\) | −10.6825 | − | 3.47095i | −0.367707 | − | 0.119475i | ||||
\(845\) | −4.01503 | − | 11.1028i | −0.138121 | − | 0.381949i | ||||
\(846\) | 0.646212 | − | 3.59876i | 0.0222172 | − | 0.123728i | ||||
\(847\) | 2.22942 | − | 4.37548i | 0.0766038 | − | 0.150343i | ||||
\(848\) | 0.484813 | + | 3.06099i | 0.0166485 | + | 0.105115i | ||||
\(849\) | 8.50312 | − | 33.8776i | 0.291826 | − | 1.16267i | ||||
\(850\) | −38.6205 | + | 15.4176i | −1.32467 | + | 0.528820i | ||||
\(851\) | 22.6510i | 0.776467i | ||||||||
\(852\) | 16.8775 | + | 1.50328i | 0.578212 | + | 0.0515015i | ||||
\(853\) | 2.57006 | + | 1.30951i | 0.0879973 | + | 0.0448368i | 0.497435 | − | 0.867501i | \(-0.334275\pi\) |
−0.409438 | + | 0.912338i | \(0.634275\pi\) | |||||||
\(854\) | −0.569288 | − | 1.75209i | −0.0194806 | − | 0.0599552i | ||||
\(855\) | −26.2272 | + | 13.7703i | −0.896951 | + | 0.470936i | ||||
\(856\) | 6.20815 | − | 19.1067i | 0.212190 | − | 0.653055i | ||||
\(857\) | −14.4893 | + | 14.4893i | −0.494947 | + | 0.494947i | −0.909861 | − | 0.414914i | \(-0.863812\pi\) |
0.414914 | + | 0.909861i | \(0.363812\pi\) | |||||||
\(858\) | −3.18973 | − | 13.9159i | −0.108896 | − | 0.475080i | ||||
\(859\) | 28.4387 | + | 39.1425i | 0.970316 | + | 1.33553i | 0.941887 | + | 0.335930i | \(0.109051\pi\) |
0.0284295 | + | 0.999596i | \(0.490949\pi\) | |||||||
\(860\) | −6.84611 | + | 1.31602i | −0.233450 | + | 0.0448758i | ||||
\(861\) | −7.62033 | + | 6.37386i | −0.259700 | + | 0.217221i | ||||
\(862\) | −34.7611 | − | 5.50562i | −1.18397 | − | 0.187522i | ||||
\(863\) | −19.2767 | − | 3.05313i | −0.656186 | − | 0.103930i | −0.180542 | − | 0.983567i | \(-0.557785\pi\) |
−0.475644 | + | 0.879638i | \(0.657785\pi\) | |||||||
\(864\) | 4.22884 | + | 20.3661i | 0.143868 | + | 0.692870i | ||||
\(865\) | 23.4050 | − | 24.9946i | 0.795794 | − | 0.849843i | ||||
\(866\) | 11.6444 | + | 16.0271i | 0.395693 | + | 0.544624i | ||||
\(867\) | −65.0523 | + | 14.9110i | −2.20929 | + | 0.506404i | ||||
\(868\) | 1.79769 | − | 1.79769i | 0.0610177 | − | 0.0610177i | ||||
\(869\) | −8.68503 | + | 26.7298i | −0.294619 | + | 0.906745i | ||||
\(870\) | −9.60594 | + | 4.23497i | −0.325672 | + | 0.143579i | ||||
\(871\) | 10.4133 | + | 32.0489i | 0.352842 | + | 1.08594i | ||||
\(872\) | −33.4822 | − | 17.0601i | −1.13385 | − | 0.577726i | ||||
\(873\) | −0.523860 | − | 0.182221i | −0.0177300 | − | 0.00616724i | ||||
\(874\) | − | 13.3507i | − | 0.451595i | ||||||
\(875\) | −12.9964 | − | 5.08187i | −0.439358 | − | 0.171799i | ||||
\(876\) | −4.31414 | − | 1.08283i | −0.145761 | − | 0.0365854i | ||||
\(877\) | −2.13445 | − | 13.4764i | −0.0720754 | − | 0.455066i | −0.997160 | − | 0.0753061i | \(-0.976007\pi\) |
0.925085 | − | 0.379760i | \(-0.123993\pi\) | |||||||
\(878\) | −1.07981 | + | 2.11925i | −0.0364418 | + | 0.0715211i | ||||
\(879\) | 0.810194 | + | 11.8536i | 0.0273272 | + | 0.399813i | ||||
\(880\) | 9.01685 | − | 7.01466i | 0.303958 | − | 0.236464i | ||||
\(881\) | −33.6734 | − | 10.9411i | −1.13448 | − | 0.368616i | −0.319206 | − | 0.947685i | \(-0.603416\pi\) |
−0.815278 | + | 0.579069i | \(0.803416\pi\) | |||||||
\(882\) | 17.4417 | − | 5.27267i | 0.587293 | − | 0.177540i | ||||
\(883\) | 3.64146 | + | 7.14677i | 0.122545 | + | 0.240508i | 0.944127 | − | 0.329583i | \(-0.106908\pi\) |
−0.821582 | + | 0.570091i | \(0.806908\pi\) | |||||||
\(884\) | −12.6371 | + | 9.18136i | −0.425030 | + | 0.308803i | ||||
\(885\) | −27.6522 | − | 42.9222i | −0.929517 | − | 1.44281i | ||||
\(886\) | 3.44512 | + | 2.50303i | 0.115741 | + | 0.0840908i | ||||
\(887\) | 5.74817 | − | 36.2925i | 0.193004 | − | 1.21858i | −0.680860 | − | 0.732413i | \(-0.738394\pi\) |
0.873865 | − | 0.486169i | \(-0.161606\pi\) | |||||||
\(888\) | −40.9541 | − | 17.4599i | −1.37433 | − | 0.585915i | ||||
\(889\) | −6.27640 | + | 8.63872i | −0.210504 | + | 0.289733i | ||||
\(890\) | 0.313446 | + | 1.63059i | 0.0105067 | + | 0.0546577i | ||||
\(891\) | −8.32311 | + | 22.4285i | −0.278835 | + | 0.751382i | ||||
\(892\) | −9.02396 | + | 4.59794i | −0.302144 | + | 0.153950i | ||||
\(893\) | 3.40985 | + | 3.40985i | 0.114106 | + | 0.114106i | ||||
\(894\) | −29.9500 | − | 18.7802i | −1.00168 | − | 0.628105i | ||||
\(895\) | 2.16036 | − | 3.18858i | 0.0722130 | − | 0.106583i | ||||
\(896\) | −1.50785 | + | 0.489929i | −0.0503736 | + | 0.0163674i | ||||
\(897\) | 9.82559 | + | 8.56836i | 0.328067 | + | 0.286089i | ||||
\(898\) | −14.5021 | + | 2.29691i | −0.483943 | + | 0.0766490i | ||||
\(899\) | −6.55744 | −0.218703 | ||||||||
\(900\) | 11.0858 | − | 2.27204i | 0.369525 | − | 0.0757346i | ||||
\(901\) | 12.0158 | 0.400303 | ||||||||
\(902\) | −13.4650 | + | 2.13264i | −0.448335 | + | 0.0710093i | ||||
\(903\) | 6.73347 | + | 5.87190i | 0.224076 | + | 0.195404i | ||||
\(904\) | −40.1716 | + | 13.0525i | −1.33609 | + | 0.434121i | ||||
\(905\) | −25.3169 | + | 9.15518i | −0.841563 | + | 0.304328i | ||||
\(906\) | −1.90626 | − | 1.19533i | −0.0633312 | − | 0.0397120i | ||||
\(907\) | −13.8141 | − | 13.8141i | −0.458690 | − | 0.458690i | 0.439535 | − | 0.898225i | \(-0.355143\pi\) |
−0.898225 | + | 0.439535i | \(0.855143\pi\) | |||||||
\(908\) | 7.89437 | − | 4.02238i | 0.261984 | − | 0.133487i | ||||
\(909\) | 25.5095 | − | 3.50351i | 0.846096 | − | 0.116204i | ||||
\(910\) | 8.58781 | + | 1.07254i | 0.284683 | + | 0.0355543i | ||||
\(911\) | −12.4745 | + | 17.1697i | −0.413300 | + | 0.568859i | −0.964019 | − | 0.265832i | \(-0.914353\pi\) |
0.550719 | + | 0.834691i | \(0.314353\pi\) | |||||||
\(912\) | 13.5230 | + | 5.76523i | 0.447791 | + | 0.190906i | ||||
\(913\) | 0.171623 | − | 1.08359i | 0.00567990 | − | 0.0358615i | ||||
\(914\) | 7.64017 | + | 5.55091i | 0.252714 | + | 0.183608i | ||||
\(915\) | 3.23790 | − | 3.96882i | 0.107042 | − | 0.131205i | ||||
\(916\) | −4.98492 | + | 3.62175i | −0.164706 | + | 0.119666i | ||||
\(917\) | −2.17856 | − | 4.27566i | −0.0719423 | − | 0.141195i | ||||
\(918\) | −43.1665 | + | 2.05852i | −1.42471 | + | 0.0679412i | ||||
\(919\) | −52.6681 | − | 17.1129i | −1.73736 | − | 0.564503i | −0.742880 | − | 0.669425i | \(-0.766541\pi\) |
−0.994480 | + | 0.104922i | \(0.966541\pi\) | |||||||
\(920\) | −5.16978 | + | 17.8890i | −0.170443 | + | 0.589784i | ||||
\(921\) | 0.704653 | + | 10.3095i | 0.0232191 | + | 0.339709i | ||||
\(922\) | 20.4352 | − | 40.1064i | 0.672998 | − | 1.32083i | ||||
\(923\) | 5.63630 | + | 35.5862i | 0.185521 | + | 1.17133i | ||||
\(924\) | 4.20475 | + | 1.05537i | 0.138326 | + | 0.0347192i | ||||
\(925\) | −16.4950 | + | 38.4159i | −0.542353 | + | 1.26311i | ||||
\(926\) | 8.17237i | 0.268561i | ||||||||
\(927\) | 5.42736 | − | 15.6029i | 0.178258 | − | 0.512467i | ||||
\(928\) | −8.66263 | − | 4.41383i | −0.284365 | − | 0.144891i | ||||
\(929\) | −7.75630 | − | 23.8714i | −0.254476 | − | 0.783197i | −0.993932 | − | 0.109992i | \(-0.964917\pi\) |
0.739456 | − | 0.673204i | \(-0.235083\pi\) | |||||||
\(930\) | −11.4066 | − | 2.46802i | −0.374037 | − | 0.0809297i | ||||
\(931\) | −7.42620 | + | 22.8555i | −0.243384 | + | 0.749059i | ||||
\(932\) | −9.81645 | + | 9.81645i | −0.321549 | + | 0.321549i | ||||
\(933\) | −13.1552 | + | 3.01538i | −0.430682 | + | 0.0987192i | ||||
\(934\) | 25.4489 | + | 35.0274i | 0.832714 | + | 1.14613i | ||||
\(935\) | −21.3930 | − | 38.7835i | −0.699626 | − | 1.26836i | ||||
\(936\) | −23.0658 | + | 11.1604i | −0.753928 | + | 0.364790i | ||||
\(937\) | −3.06010 | − | 0.484673i | −0.0999692 | − | 0.0158336i | 0.106249 | − | 0.994340i | \(-0.466116\pi\) |
−0.206219 | + | 0.978506i | \(0.566116\pi\) | |||||||
\(938\) | 16.6866 | + | 2.64290i | 0.544838 | + | 0.0862938i | ||||
\(939\) | 32.3439 | − | 27.0533i | 1.05550 | − | 0.882852i | ||||
\(940\) | −0.889757 | − | 1.61305i | −0.0290207 | − | 0.0526118i | ||||
\(941\) | 27.9680 | + | 38.4946i | 0.911730 | + | 1.25489i | 0.966572 | + | 0.256394i | \(0.0825344\pi\) |
−0.0548423 | + | 0.998495i | \(0.517466\pi\) | |||||||
\(942\) | 3.33242 | + | 14.5384i | 0.108576 | + | 0.473685i | ||||
\(943\) | 8.80265 | − | 8.80265i | 0.286654 | − | 0.286654i | ||||
\(944\) | −7.83006 | + | 24.0985i | −0.254847 | + | 0.784338i | ||||
\(945\) | −11.0457 | − | 9.39688i | −0.359318 | − | 0.305681i | ||||
\(946\) | 3.78854 | + | 11.6599i | 0.123176 | + | 0.379097i | ||||
\(947\) | 30.1470 | + | 15.3607i | 0.979645 | + | 0.499154i | 0.869057 | − | 0.494712i | \(-0.164727\pi\) |
0.110588 | + | 0.993866i | \(0.464727\pi\) | |||||||
\(948\) | 13.7616 | + | 1.22575i | 0.446956 | + | 0.0398105i | ||||
\(949\) | − | 9.45799i | − | 0.307019i | ||||||
\(950\) | 9.72232 | − | 22.6427i | 0.315434 | − | 0.734626i | ||||
\(951\) | 11.6577 | − | 46.4457i | 0.378026 | − | 1.50611i | ||||
\(952\) | 4.47284 | + | 28.2404i | 0.144965 | + | 0.915276i | ||||
\(953\) | 24.9013 | − | 48.8715i | 0.806632 | − | 1.58310i | −0.00575316 | − | 0.999983i | \(-0.501831\pi\) |
0.812385 | − | 0.583121i | \(-0.198169\pi\) | |||||||
\(954\) | 5.31370 | + | 0.954156i | 0.172038 | + | 0.0308919i | ||||
\(955\) | 12.3279 | − | 42.6583i | 0.398921 | − | 1.38039i | ||||
\(956\) | 8.52437 | + | 2.76974i | 0.275698 | + | 0.0895797i | ||||
\(957\) | −5.74398 | − | 9.59366i | −0.185677 | − | 0.310119i | ||||
\(958\) | −10.8869 | − | 21.3668i | −0.351741 | − | 0.690331i | ||||
\(959\) | 3.14794 | − | 2.28711i | 0.101652 | − | 0.0738547i | ||||
\(960\) | −24.9433 | − | 20.3496i | −0.805041 | − | 0.656781i | ||||
\(961\) | 19.1819 | + | 13.9365i | 0.618772 | + | 0.449564i | ||||
\(962\) | 4.05613 | − | 25.6094i | 0.130775 | − | 0.825680i | ||||
\(963\) | −15.6208 | − | 11.8482i | −0.503373 | − | 0.381802i | ||||
\(964\) | 6.58003 | − | 9.05664i | 0.211929 | − | 0.291695i | ||||
\(965\) | 30.2744 | + | 3.78099i | 0.974566 | + | 0.121714i | ||||
\(966\) | 6.06394 | − | 2.43893i | 0.195104 | − | 0.0784712i | ||||
\(967\) | 7.96111 | − | 4.05639i | 0.256012 | − | 0.130445i | −0.321275 | − | 0.946986i | \(-0.604111\pi\) |
0.577287 | + | 0.816541i | \(0.304111\pi\) | |||||||
\(968\) | −8.55230 | − | 8.55230i | −0.274881 | − | 0.274881i | ||||
\(969\) | 30.2792 | − | 48.2881i | 0.972709 | − | 1.55124i | ||||
\(970\) | 0.433891 | − | 0.156905i | 0.0139314 | − | 0.00503791i | ||||
\(971\) | 24.0460 | − | 7.81301i | 0.771672 | − | 0.250731i | 0.103392 | − | 0.994641i | \(-0.467031\pi\) |
0.668281 | + | 0.743909i | \(0.267031\pi\) | |||||||
\(972\) | 11.6609 | + | 1.52475i | 0.374022 | + | 0.0489063i | ||||
\(973\) | −19.0255 | + | 3.01334i | −0.609929 | + | 0.0966032i | ||||
\(974\) | −24.0962 | −0.772093 | ||||||||
\(975\) | 10.4244 | + | 21.6871i | 0.333848 | + | 0.694543i | ||||
\(976\) | −2.54191 | −0.0813647 | ||||||||
\(977\) | 6.96639 | − | 1.10337i | 0.222875 | − | 0.0352999i | −0.0439983 | − | 0.999032i | \(-0.514010\pi\) |
0.266873 | + | 0.963732i | \(0.414010\pi\) | |||||||
\(978\) | −8.65862 | + | 9.92909i | −0.276872 | + | 0.317497i | ||||
\(979\) | −1.68203 | + | 0.546524i | −0.0537578 | + | 0.0174670i | ||||
\(980\) | 5.14942 | − | 7.60028i | 0.164492 | − | 0.242782i | ||||
\(981\) | −26.4597 | + | 25.3918i | −0.844794 | + | 0.810699i | ||||
\(982\) | −17.6957 | − | 17.6957i | −0.564692 | − | 0.564692i | ||||
\(983\) | −49.6549 | + | 25.3004i | −1.58374 | + | 0.806958i | −0.999988 | − | 0.00497077i | \(-0.998418\pi\) |
−0.583757 | + | 0.811929i | \(0.698418\pi\) | |||||||
\(984\) | 9.13033 | + | 22.7009i | 0.291064 | + | 0.723677i | ||||
\(985\) | −3.72522 | − | 19.3792i | −0.118695 | − | 0.617471i | ||||
\(986\) | 11.8728 | − | 16.3415i | 0.378107 | − | 0.520419i | ||||
\(987\) | −0.925848 | + | 2.17168i | −0.0294701 | + | 0.0691253i | ||||
\(988\) | 1.44798 | − | 9.14221i | 0.0460665 | − | 0.290852i | ||||
\(989\) | −9.05712 | − | 6.58038i | −0.288000 | − | 0.209244i | ||||
\(990\) | −6.38083 | − | 18.8499i | −0.202796 | − | 0.599090i | ||||
\(991\) | 31.9973 | − | 23.2474i | 1.01643 | − | 0.738477i | 0.0508792 | − | 0.998705i | \(-0.483798\pi\) |
0.965547 | + | 0.260228i | \(0.0837977\pi\) | |||||||
\(992\) | −4.90680 | − | 9.63013i | −0.155791 | − | 0.305757i | ||||
\(993\) | 31.9656 | − | 19.1386i | 1.01440 | − | 0.607347i | ||||
\(994\) | 17.1795 | + | 5.58195i | 0.544900 | + | 0.177049i | ||||
\(995\) | 12.5305 | − | 9.74808i | 0.397242 | − | 0.309035i | ||||
\(996\) | −0.538057 | + | 0.0367761i | −0.0170490 | + | 0.00116530i | ||||
\(997\) | −18.4772 | + | 36.2636i | −0.585179 | + | 1.14848i | 0.388690 | + | 0.921369i | \(0.372928\pi\) |
−0.973869 | + | 0.227110i | \(0.927072\pi\) | |||||||
\(998\) | 6.40417 | + | 40.4344i | 0.202721 | + | 1.27993i | ||||
\(999\) | −29.2238 | + | 32.1507i | −0.924602 | + | 1.01720i |
(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 | 75.2.l.a.62.6 | yes | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.62.3 | yes | 64 | |
5.2 | odd | 4 | 375.2.l.b.293.6 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.293.3 | 64 | |||
5.4 | even | 2 | 375.2.l.c.332.3 | 64 | |||
15.2 | even | 4 | 375.2.l.b.293.3 | 64 | |||
15.8 | even | 4 | 375.2.l.a.293.6 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.332.6 | 64 | |||
25.2 | odd | 20 | 375.2.l.c.218.6 | 64 | |||
25.11 | even | 5 | 375.2.l.a.32.6 | 64 | |||
25.14 | even | 10 | 375.2.l.b.32.3 | 64 | |||
25.23 | odd | 20 | inner | 75.2.l.a.23.3 | ✓ | 64 | |
75.2 | even | 20 | 375.2.l.c.218.3 | 64 | |||
75.11 | odd | 10 | 375.2.l.a.32.3 | 64 | |||
75.14 | odd | 10 | 375.2.l.b.32.6 | 64 | |||
75.23 | even | 20 | inner | 75.2.l.a.23.6 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.23.3 | ✓ | 64 | 25.23 | odd | 20 | inner | |
75.2.l.a.23.6 | yes | 64 | 75.23 | even | 20 | inner | |
75.2.l.a.62.3 | yes | 64 | 3.2 | odd | 2 | inner | |
75.2.l.a.62.6 | yes | 64 | 1.1 | even | 1 | trivial | |
375.2.l.a.32.3 | 64 | 75.11 | odd | 10 | |||
375.2.l.a.32.6 | 64 | 25.11 | even | 5 | |||
375.2.l.a.293.3 | 64 | 5.3 | odd | 4 | |||
375.2.l.a.293.6 | 64 | 15.8 | even | 4 | |||
375.2.l.b.32.3 | 64 | 25.14 | even | 10 | |||
375.2.l.b.32.6 | 64 | 75.14 | odd | 10 | |||
375.2.l.b.293.3 | 64 | 15.2 | even | 4 | |||
375.2.l.b.293.6 | 64 | 5.2 | odd | 4 | |||
375.2.l.c.218.3 | 64 | 75.2 | even | 20 | |||
375.2.l.c.218.6 | 64 | 25.2 | odd | 20 | |||
375.2.l.c.332.3 | 64 | 5.4 | even | 2 | |||
375.2.l.c.332.6 | 64 | 15.14 | odd | 2 |