Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Character | \(\chi\) | \(=\) | 378.25 |
Dual form | 378.2.w.a.121.3 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −1.25749 | + | 1.19110i | −0.726015 | + | 0.687679i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 1.98579 | + | 0.722770i | 0.888074 | + | 0.323232i | 0.745463 | − | 0.666546i | \(-0.232228\pi\) |
0.142610 | + | 0.989779i | \(0.454450\pi\) | |||||||
\(6\) | 0.774279 | − | 1.54935i | 0.316098 | − | 0.632520i | ||||
\(7\) | 2.63247 | + | 0.264792i | 0.994979 | + | 0.100082i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.162584 | − | 2.99559i | 0.0541946 | − | 0.998530i | ||||
\(10\) | −2.11324 | −0.668264 | ||||||||
\(11\) | 2.13695 | − | 0.777787i | 0.644315 | − | 0.234512i | 0.000865256 | − | 1.00000i | \(-0.499725\pi\) |
0.643450 | + | 0.765488i | \(0.277502\pi\) | |||||||
\(12\) | −0.197675 | + | 1.72073i | −0.0570639 | + | 0.496733i | ||||
\(13\) | −0.774677 | − | 4.39341i | −0.214857 | − | 1.21851i | −0.881155 | − | 0.472827i | \(-0.843233\pi\) |
0.666298 | − | 0.745685i | \(-0.267878\pi\) | |||||||
\(14\) | −2.56427 | + | 0.651534i | −0.685331 | + | 0.174130i | ||||
\(15\) | −3.35801 | + | 1.45639i | −0.867035 | + | 0.376038i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −1.10097 | −0.267025 | −0.133513 | − | 0.991047i | \(-0.542626\pi\) | ||||
−0.133513 | + | 0.991047i | \(0.542626\pi\) | |||||||
\(18\) | 0.871774 | + | 2.87054i | 0.205479 | + | 0.676593i | ||||
\(19\) | 6.55502 | 1.50383 | 0.751913 | − | 0.659263i | \(-0.229132\pi\) | ||||
0.751913 | + | 0.659263i | \(0.229132\pi\) | |||||||
\(20\) | 1.98579 | − | 0.722770i | 0.444037 | − | 0.161616i | ||||
\(21\) | −3.62570 | + | 2.80255i | −0.791194 | + | 0.611566i | ||||
\(22\) | −1.74206 | + | 1.46176i | −0.371408 | + | 0.311649i | ||||
\(23\) | 0.981032 | + | 5.56371i | 0.204559 | + | 1.16011i | 0.898132 | + | 0.439727i | \(0.144925\pi\) |
−0.693572 | + | 0.720387i | \(0.743964\pi\) | |||||||
\(24\) | −0.402772 | − | 1.68457i | −0.0822154 | − | 0.343861i | ||||
\(25\) | −0.409243 | − | 0.343396i | −0.0818486 | − | 0.0686791i | ||||
\(26\) | 2.23059 | + | 3.86350i | 0.437455 | + | 0.757695i | ||||
\(27\) | 3.36359 | + | 3.96059i | 0.647323 | + | 0.762216i | ||||
\(28\) | 2.18679 | − | 1.48928i | 0.413265 | − | 0.281447i | ||||
\(29\) | −0.886000 | + | 5.02476i | −0.164526 | + | 0.933074i | 0.785026 | + | 0.619463i | \(0.212650\pi\) |
−0.949552 | + | 0.313610i | \(0.898461\pi\) | |||||||
\(30\) | 2.65738 | − | 2.51707i | 0.485170 | − | 0.459551i | ||||
\(31\) | 5.42690 | − | 4.55371i | 0.974700 | − | 0.817870i | −0.00858156 | − | 0.999963i | \(-0.502732\pi\) |
0.983281 | + | 0.182093i | \(0.0582872\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −1.76079 | + | 3.52338i | −0.306514 | + | 0.613341i | ||||
\(34\) | 1.03458 | − | 0.376555i | 0.177429 | − | 0.0645787i | ||||
\(35\) | 5.03615 | + | 2.42849i | 0.851265 | + | 0.410490i | ||||
\(36\) | −1.80098 | − | 2.39926i | −0.300164 | − | 0.399877i | ||||
\(37\) | −5.50275 | + | 9.53104i | −0.904646 | + | 1.56689i | −0.0832543 | + | 0.996528i | \(0.526531\pi\) |
−0.821392 | + | 0.570365i | \(0.806802\pi\) | |||||||
\(38\) | −6.15971 | + | 2.24195i | −0.999236 | + | 0.363692i | ||||
\(39\) | 6.20712 | + | 4.60197i | 0.993935 | + | 0.736906i | ||||
\(40\) | −1.61883 | + | 1.35836i | −0.255960 | + | 0.214776i | ||||
\(41\) | 1.28738 | + | 7.30109i | 0.201055 | + | 1.14024i | 0.903528 | + | 0.428528i | \(0.140968\pi\) |
−0.702474 | + | 0.711710i | \(0.747921\pi\) | |||||||
\(42\) | 2.44852 | − | 3.87360i | 0.377815 | − | 0.597709i | ||||
\(43\) | −4.90452 | − | 4.11538i | −0.747932 | − | 0.627589i | 0.187023 | − | 0.982356i | \(-0.440116\pi\) |
−0.934955 | + | 0.354766i | \(0.884560\pi\) | |||||||
\(44\) | 1.13705 | − | 1.96943i | 0.171417 | − | 0.296902i | ||||
\(45\) | 2.48798 | − | 5.83111i | 0.370886 | − | 0.869251i | ||||
\(46\) | −2.82477 | − | 4.89264i | −0.416489 | − | 0.721381i | ||||
\(47\) | −5.53120 | − | 4.64123i | −0.806808 | − | 0.676993i | 0.143035 | − | 0.989718i | \(-0.454314\pi\) |
−0.949844 | + | 0.312725i | \(0.898758\pi\) | |||||||
\(48\) | 0.954638 | + | 1.44522i | 0.137790 | + | 0.208600i | ||||
\(49\) | 6.85977 | + | 1.39411i | 0.979967 | + | 0.199159i | ||||
\(50\) | 0.502011 | + | 0.182717i | 0.0709950 | + | 0.0258401i | ||||
\(51\) | 1.38447 | − | 1.31137i | 0.193864 | − | 0.183628i | ||||
\(52\) | −3.41747 | − | 2.86759i | −0.473917 | − | 0.397664i | ||||
\(53\) | 2.35202 | − | 4.07382i | 0.323075 | − | 0.559582i | −0.658046 | − | 0.752978i | \(-0.728617\pi\) |
0.981121 | + | 0.193396i | \(0.0619501\pi\) | |||||||
\(54\) | −4.51534 | − | 2.57132i | −0.614460 | − | 0.349913i | ||||
\(55\) | 4.80571 | 0.648001 | ||||||||
\(56\) | −1.54555 | + | 2.14739i | −0.206533 | + | 0.286957i | ||||
\(57\) | −8.24290 | + | 7.80766i | −1.09180 | + | 1.03415i | ||||
\(58\) | −0.886000 | − | 5.02476i | −0.116337 | − | 0.659783i | ||||
\(59\) | 0.595915 | + | 3.37960i | 0.0775816 | + | 0.439987i | 0.998712 | + | 0.0507335i | \(0.0161559\pi\) |
−0.921131 | + | 0.389254i | \(0.872733\pi\) | |||||||
\(60\) | −1.63624 | + | 3.27415i | −0.211237 | + | 0.422691i | ||||
\(61\) | −1.09424 | − | 0.918179i | −0.140103 | − | 0.117561i | 0.570043 | − | 0.821615i | \(-0.306927\pi\) |
−0.710146 | + | 0.704054i | \(0.751371\pi\) | |||||||
\(62\) | −3.54216 | + | 6.13519i | −0.449854 | + | 0.779171i | ||||
\(63\) | 1.22120 | − | 7.84275i | 0.153857 | − | 0.988093i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.63708 | − | 9.28432i | 0.203054 | − | 1.15158i | ||||
\(66\) | 0.449533 | − | 3.91312i | 0.0553336 | − | 0.481671i | ||||
\(67\) | 6.70999 | + | 2.44224i | 0.819755 | + | 0.298367i | 0.717647 | − | 0.696407i | \(-0.245219\pi\) |
0.102108 | + | 0.994773i | \(0.467441\pi\) | |||||||
\(68\) | −0.843395 | + | 0.707693i | −0.102277 | + | 0.0858203i | ||||
\(69\) | −7.86055 | − | 5.82783i | −0.946299 | − | 0.701588i | ||||
\(70\) | −5.56303 | − | 0.559568i | −0.664909 | − | 0.0668811i | ||||
\(71\) | −2.73928 | − | 4.74457i | −0.325093 | − | 0.563077i | 0.656438 | − | 0.754380i | \(-0.272062\pi\) |
−0.981531 | + | 0.191302i | \(0.938729\pi\) | |||||||
\(72\) | 2.51297 | + | 1.63860i | 0.296156 | + | 0.193111i | ||||
\(73\) | −6.53126 | − | 11.3125i | −0.764427 | − | 1.32403i | −0.940549 | − | 0.339657i | \(-0.889689\pi\) |
0.176123 | − | 0.984368i | \(-0.443644\pi\) | |||||||
\(74\) | 1.91108 | − | 10.8383i | 0.222159 | − | 1.25993i | ||||
\(75\) | 0.923637 | − | 0.0556294i | 0.106652 | − | 0.00642352i | ||||
\(76\) | 5.02144 | − | 4.21349i | 0.575998 | − | 0.483320i | ||||
\(77\) | 5.83141 | − | 1.48165i | 0.664551 | − | 0.168850i | ||||
\(78\) | −7.40675 | − | 2.20148i | −0.838650 | − | 0.249269i | ||||
\(79\) | −5.38398 | + | 1.95961i | −0.605745 | + | 0.220473i | −0.626641 | − | 0.779308i | \(-0.715571\pi\) |
0.0208953 | + | 0.999782i | \(0.493348\pi\) | |||||||
\(80\) | 1.05662 | − | 1.83012i | 0.118134 | − | 0.204613i | ||||
\(81\) | −8.94713 | − | 0.974069i | −0.994126 | − | 0.108230i | ||||
\(82\) | −3.70686 | − | 6.42047i | −0.409354 | − | 0.709022i | ||||
\(83\) | −0.173835 | + | 0.985869i | −0.0190809 | + | 0.108213i | −0.992861 | − | 0.119279i | \(-0.961942\pi\) |
0.973780 | + | 0.227492i | \(0.0730527\pi\) | |||||||
\(84\) | −0.976009 | + | 4.47743i | −0.106491 | + | 0.488528i | ||||
\(85\) | −2.18631 | − | 0.795751i | −0.237138 | − | 0.0863113i | ||||
\(86\) | 6.01628 | + | 2.18975i | 0.648752 | + | 0.236127i | ||||
\(87\) | −4.87082 | − | 7.37391i | −0.522207 | − | 0.790566i | ||||
\(88\) | −0.394893 | + | 2.23955i | −0.0420957 | + | 0.238737i | ||||
\(89\) | −8.11989 | −0.860707 | −0.430353 | − | 0.902661i | \(-0.641611\pi\) | ||||
−0.430353 | + | 0.902661i | \(0.641611\pi\) | |||||||
\(90\) | −0.343578 | + | 6.33039i | −0.0362163 | + | 0.667282i | ||||
\(91\) | −0.875973 | − | 11.7706i | −0.0918269 | − | 1.23390i | ||||
\(92\) | 4.32780 | + | 3.63145i | 0.451204 | + | 0.378605i | ||||
\(93\) | −1.40039 | + | 12.1902i | −0.145214 | + | 1.26407i | ||||
\(94\) | 6.78502 | + | 2.46955i | 0.699821 | + | 0.254714i | ||||
\(95\) | 13.0169 | + | 4.73777i | 1.33551 | + | 0.486085i | ||||
\(96\) | −1.39136 | − | 1.03156i | −0.142005 | − | 0.105283i | ||||
\(97\) | 0.607697 | + | 0.509919i | 0.0617023 | + | 0.0517744i | 0.673117 | − | 0.739536i | \(-0.264955\pi\) |
−0.611415 | + | 0.791310i | \(0.709399\pi\) | |||||||
\(98\) | −6.92289 | + | 1.03614i | −0.699317 | + | 0.104666i | ||||
\(99\) | −1.98250 | − | 6.52789i | −0.199249 | − | 0.656078i | ||||
\(100\) | −0.534229 | −0.0534229 | ||||||||
\(101\) | 1.91252 | − | 10.8464i | 0.190302 | − | 1.07926i | −0.728649 | − | 0.684887i | \(-0.759851\pi\) |
0.918951 | − | 0.394371i | \(-0.129037\pi\) | |||||||
\(102\) | −0.852462 | + | 1.70580i | −0.0844063 | + | 0.168899i | ||||
\(103\) | 14.6920 | + | 5.34744i | 1.44764 | + | 0.526899i | 0.941932 | − | 0.335803i | \(-0.109008\pi\) |
0.505712 | + | 0.862703i | \(0.331230\pi\) | |||||||
\(104\) | 4.19214 | + | 1.52582i | 0.411073 | + | 0.149618i | ||||
\(105\) | −9.22550 | + | 2.94473i | −0.900316 | + | 0.287376i | ||||
\(106\) | −0.816848 | + | 4.63258i | −0.0793393 | + | 0.449956i | ||||
\(107\) | 5.60715 | + | 9.71187i | 0.542063 | + | 0.938881i | 0.998785 | + | 0.0492719i | \(0.0156901\pi\) |
−0.456722 | + | 0.889610i | \(0.650977\pi\) | |||||||
\(108\) | 5.12248 | + | 0.871917i | 0.492910 | + | 0.0839003i | ||||
\(109\) | 3.22127 | − | 5.57940i | 0.308542 | − | 0.534410i | −0.669502 | − | 0.742810i | \(-0.733492\pi\) |
0.978044 | + | 0.208400i | \(0.0668257\pi\) | |||||||
\(110\) | −4.51589 | + | 1.64365i | −0.430573 | + | 0.156716i | ||||
\(111\) | −4.43270 | − | 18.5395i | −0.420733 | − | 1.75969i | ||||
\(112\) | 0.717892 | − | 2.54649i | 0.0678344 | − | 0.240621i | ||||
\(113\) | −9.57952 | + | 8.03817i | −0.901165 | + | 0.756167i | −0.970418 | − | 0.241432i | \(-0.922383\pi\) |
0.0692526 | + | 0.997599i | \(0.477939\pi\) | |||||||
\(114\) | 5.07542 | − | 10.1560i | 0.475357 | − | 0.951200i | ||||
\(115\) | −2.07315 | + | 11.7574i | −0.193323 | + | 1.09639i | ||||
\(116\) | 2.55114 | + | 4.41870i | 0.236867 | + | 0.410266i | ||||
\(117\) | −13.2868 | + | 1.60632i | −1.22837 | + | 0.148504i | ||||
\(118\) | −1.71587 | − | 2.97197i | −0.157959 | − | 0.273592i | ||||
\(119\) | −2.89828 | − | 0.291529i | −0.265685 | − | 0.0267244i | ||||
\(120\) | 0.417735 | − | 3.63632i | 0.0381338 | − | 0.331949i | ||||
\(121\) | −4.46488 | + | 3.74648i | −0.405898 | + | 0.340589i | ||||
\(122\) | 1.34229 | + | 0.488553i | 0.121525 | + | 0.0442315i | ||||
\(123\) | −10.3152 | − | 7.64768i | −0.930087 | − | 0.689568i | ||||
\(124\) | 1.23018 | − | 6.97669i | 0.110473 | − | 0.626525i | ||||
\(125\) | −5.84757 | − | 10.1283i | −0.523022 | − | 0.905901i | ||||
\(126\) | 1.53482 | + | 7.78745i | 0.136733 | + | 0.693761i | ||||
\(127\) | −9.45707 | + | 16.3801i | −0.839179 | + | 1.45350i | 0.0514030 | + | 0.998678i | \(0.483631\pi\) |
−0.890582 | + | 0.454823i | \(0.849703\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 11.0692 | − | 0.666683i | 0.974590 | − | 0.0586981i | ||||
\(130\) | 1.63708 | + | 9.28432i | 0.143581 | + | 0.814288i | ||||
\(131\) | −2.47821 | − | 14.0546i | −0.216522 | − | 1.22796i | −0.878246 | − | 0.478209i | \(-0.841286\pi\) |
0.661724 | − | 0.749747i | \(-0.269825\pi\) | |||||||
\(132\) | 0.915942 | + | 3.83088i | 0.0797225 | + | 0.333435i | ||||
\(133\) | 17.2559 | + | 1.73572i | 1.49627 | + | 0.150506i | ||||
\(134\) | −7.14062 | −0.616856 | ||||||||
\(135\) | 3.81679 | + | 10.2960i | 0.328497 | + | 0.886140i | ||||
\(136\) | 0.550487 | − | 0.953472i | 0.0472039 | − | 0.0817595i | ||||
\(137\) | −14.1821 | − | 11.9002i | −1.21166 | − | 1.01670i | −0.999218 | − | 0.0395314i | \(-0.987413\pi\) |
−0.212443 | − | 0.977173i | \(-0.568142\pi\) | |||||||
\(138\) | 9.37974 | + | 2.78790i | 0.798456 | + | 0.237322i | ||||
\(139\) | −0.894249 | − | 0.325480i | −0.0758492 | − | 0.0276069i | 0.303817 | − | 0.952730i | \(-0.401739\pi\) |
−0.379666 | + | 0.925124i | \(0.623961\pi\) | |||||||
\(140\) | 5.41892 | − | 1.37685i | 0.457982 | − | 0.116365i | ||||
\(141\) | 12.4836 | − | 0.751869i | 1.05131 | − | 0.0633188i | ||||
\(142\) | 4.19682 | + | 3.52155i | 0.352190 | + | 0.295522i | ||||
\(143\) | −5.07258 | − | 8.78597i | −0.424191 | − | 0.734720i | ||||
\(144\) | −2.92185 | − | 0.680293i | −0.243487 | − | 0.0566911i | ||||
\(145\) | −5.39115 | + | 9.33775i | −0.447711 | + | 0.775458i | ||||
\(146\) | 10.0065 | + | 8.39643i | 0.828142 | + | 0.694894i | ||||
\(147\) | −10.2866 | + | 6.41755i | −0.848428 | + | 0.529311i | ||||
\(148\) | 1.91108 | + | 10.8383i | 0.157090 | + | 0.890902i | ||||
\(149\) | 13.6840 | − | 11.4822i | 1.12103 | − | 0.940659i | 0.122377 | − | 0.992484i | \(-0.460948\pi\) |
0.998656 | + | 0.0518251i | \(0.0165038\pi\) | |||||||
\(150\) | −0.848909 | + | 0.368177i | −0.0693131 | + | 0.0300615i | ||||
\(151\) | −5.88949 | + | 2.14360i | −0.479280 | + | 0.174444i | −0.570351 | − | 0.821401i | \(-0.693193\pi\) |
0.0910717 | + | 0.995844i | \(0.470971\pi\) | |||||||
\(152\) | −3.27751 | + | 5.67682i | −0.265841 | + | 0.460451i | ||||
\(153\) | −0.179000 | + | 3.29807i | −0.0144713 | + | 0.266633i | ||||
\(154\) | −4.97298 | + | 3.38676i | −0.400734 | + | 0.272913i | ||||
\(155\) | 14.0680 | − | 5.12033i | 1.12997 | − | 0.411275i | ||||
\(156\) | 7.71302 | − | 0.464544i | 0.617536 | − | 0.0371933i | ||||
\(157\) | 1.19882 | + | 6.79885i | 0.0956764 | + | 0.542608i | 0.994538 | + | 0.104375i | \(0.0332842\pi\) |
−0.898862 | + | 0.438233i | \(0.855605\pi\) | |||||||
\(158\) | 4.38906 | − | 3.68286i | 0.349175 | − | 0.292993i | ||||
\(159\) | 1.89466 | + | 7.92429i | 0.150256 | + | 0.628437i | ||||
\(160\) | −0.366960 | + | 2.08113i | −0.0290107 | + | 0.164528i | ||||
\(161\) | 1.10931 | + | 14.9061i | 0.0874260 | + | 1.17476i | ||||
\(162\) | 8.74071 | − | 2.14477i | 0.686735 | − | 0.168509i | ||||
\(163\) | 7.72077 | + | 13.3728i | 0.604737 | + | 1.04744i | 0.992093 | + | 0.125505i | \(0.0400551\pi\) |
−0.387356 | + | 0.921930i | \(0.626612\pi\) | |||||||
\(164\) | 5.67924 | + | 4.76545i | 0.443474 | + | 0.372119i | ||||
\(165\) | −6.04315 | + | 5.72406i | −0.470459 | + | 0.445617i | ||||
\(166\) | −0.173835 | − | 0.985869i | −0.0134922 | − | 0.0765183i | ||||
\(167\) | −0.125142 | + | 0.105007i | −0.00968378 | + | 0.00812566i | −0.647617 | − | 0.761966i | \(-0.724234\pi\) |
0.637933 | + | 0.770092i | \(0.279790\pi\) | |||||||
\(168\) | −0.614223 | − | 4.54123i | −0.0473884 | − | 0.350363i | ||||
\(169\) | −6.48592 | + | 2.36068i | −0.498917 | + | 0.181591i | ||||
\(170\) | 2.32662 | 0.178444 | ||||||||
\(171\) | 1.06574 | − | 19.6362i | 0.0814992 | − | 1.50162i | ||||
\(172\) | −6.40239 | −0.488178 | ||||||||
\(173\) | 2.78951 | − | 15.8201i | 0.212083 | − | 1.20278i | −0.673815 | − | 0.738900i | \(-0.735346\pi\) |
0.885898 | − | 0.463880i | \(-0.153543\pi\) | |||||||
\(174\) | 7.09910 | + | 5.26329i | 0.538182 | + | 0.399009i | ||||
\(175\) | −0.986390 | − | 1.01234i | −0.0745641 | − | 0.0765258i | ||||
\(176\) | −0.394893 | − | 2.23955i | −0.0297662 | − | 0.168812i | ||||
\(177\) | −4.77479 | − | 3.54004i | −0.358895 | − | 0.266086i | ||||
\(178\) | 7.63020 | − | 2.77717i | 0.571908 | − | 0.208157i | ||||
\(179\) | 5.25131 | 0.392502 | 0.196251 | − | 0.980554i | \(-0.437123\pi\) | ||||
0.196251 | + | 0.980554i | \(0.437123\pi\) | |||||||
\(180\) | −1.84226 | − | 6.06614i | −0.137314 | − | 0.452143i | ||||
\(181\) | 8.10196 | − | 14.0330i | 0.602214 | − | 1.04307i | −0.390271 | − | 0.920700i | \(-0.627619\pi\) |
0.992485 | − | 0.122365i | \(-0.0390480\pi\) | |||||||
\(182\) | 4.84894 | + | 10.7612i | 0.359427 | + | 0.797672i | ||||
\(183\) | 2.46964 | − | 0.148743i | 0.182561 | − | 0.0109954i | ||||
\(184\) | −5.30883 | − | 1.93226i | −0.391372 | − | 0.142448i | ||||
\(185\) | −17.8161 | + | 14.9495i | −1.30986 | + | 1.09911i | ||||
\(186\) | −2.85336 | − | 11.9340i | −0.209219 | − | 0.875045i | ||||
\(187\) | −2.35273 | + | 0.856324i | −0.172049 | + | 0.0626206i | ||||
\(188\) | −7.22047 | −0.526607 | ||||||||
\(189\) | 7.80580 | + | 11.3168i | 0.567788 | + | 0.823174i | ||||
\(190\) | −13.8523 | −1.00495 | ||||||||
\(191\) | −4.42665 | + | 1.61117i | −0.320301 | + | 0.116580i | −0.497167 | − | 0.867655i | \(-0.665626\pi\) |
0.176866 | + | 0.984235i | \(0.443404\pi\) | |||||||
\(192\) | 1.66027 | + | 0.493474i | 0.119819 | + | 0.0356134i | ||||
\(193\) | 5.17801 | − | 4.34486i | 0.372721 | − | 0.312750i | −0.437116 | − | 0.899405i | \(-0.644000\pi\) |
0.809837 | + | 0.586655i | \(0.199556\pi\) | |||||||
\(194\) | −0.745451 | − | 0.271322i | −0.0535203 | − | 0.0194798i | ||||
\(195\) | 8.99989 | + | 13.6249i | 0.644496 | + | 0.975699i | ||||
\(196\) | 6.15101 | − | 3.34142i | 0.439358 | − | 0.238673i | ||||
\(197\) | 5.01390 | − | 8.68433i | 0.357226 | − | 0.618733i | −0.630271 | − | 0.776376i | \(-0.717056\pi\) |
0.987496 | + | 0.157643i | \(0.0503894\pi\) | |||||||
\(198\) | 4.09561 | + | 5.45616i | 0.291062 | + | 0.387752i | ||||
\(199\) | −4.14019 | −0.293491 | −0.146745 | − | 0.989174i | \(-0.546880\pi\) | ||||
−0.146745 | + | 0.989174i | \(0.546880\pi\) | |||||||
\(200\) | 0.502011 | − | 0.182717i | 0.0354975 | − | 0.0129200i | ||||
\(201\) | −11.3467 | + | 4.92114i | −0.800335 | + | 0.347110i | ||||
\(202\) | 1.91252 | + | 10.8464i | 0.134564 | + | 0.763151i | ||||
\(203\) | −3.66288 | + | 12.9929i | −0.257084 | + | 0.911923i | ||||
\(204\) | 0.217635 | − | 1.89448i | 0.0152375 | − | 0.132640i | ||||
\(205\) | −2.72054 | + | 15.4289i | −0.190011 | + | 1.07760i | ||||
\(206\) | −15.6349 | −1.08933 | ||||||||
\(207\) | 16.8261 | − | 2.03420i | 1.16949 | − | 0.141387i | ||||
\(208\) | −4.46119 | −0.309328 | ||||||||
\(209\) | 14.0078 | − | 5.09841i | 0.968938 | − | 0.352665i | ||||
\(210\) | 7.66197 | − | 5.92244i | 0.528726 | − | 0.408687i | ||||
\(211\) | 6.04115 | − | 5.06913i | 0.415890 | − | 0.348973i | −0.410707 | − | 0.911767i | \(-0.634718\pi\) |
0.826597 | + | 0.562794i | \(0.190274\pi\) | |||||||
\(212\) | −0.816848 | − | 4.63258i | −0.0561014 | − | 0.318167i | ||||
\(213\) | 9.09587 | + | 2.70353i | 0.623239 | + | 0.185243i | ||||
\(214\) | −8.59065 | − | 7.20841i | −0.587245 | − | 0.492757i | ||||
\(215\) | −6.76489 | − | 11.7171i | −0.461361 | − | 0.799102i | ||||
\(216\) | −5.11177 | + | 0.932656i | −0.347812 | + | 0.0634592i | ||||
\(217\) | 15.4919 | − | 10.5505i | 1.05166 | − | 0.716214i | ||||
\(218\) | −1.11874 | + | 6.34466i | −0.0757703 | + | 0.429715i | ||||
\(219\) | 21.6873 | + | 6.44602i | 1.46549 | + | 0.435582i | ||||
\(220\) | 3.68139 | − | 3.08905i | 0.248199 | − | 0.208264i | ||||
\(221\) | 0.852899 | + | 4.83703i | 0.0573722 | + | 0.325374i | ||||
\(222\) | 10.5063 | + | 15.9054i | 0.705134 | + | 1.06750i | ||||
\(223\) | −26.9328 | + | 9.80273i | −1.80355 | + | 0.656440i | −0.805602 | + | 0.592457i | \(0.798158\pi\) |
−0.997951 | + | 0.0639823i | \(0.979620\pi\) | |||||||
\(224\) | 0.196354 | + | 2.63846i | 0.0131195 | + | 0.176289i | ||||
\(225\) | −1.09521 | + | 1.17009i | −0.0730139 | + | 0.0780063i | ||||
\(226\) | 6.25259 | − | 10.8298i | 0.415916 | − | 0.720387i | ||||
\(227\) | −14.8777 | + | 5.41502i | −0.987465 | + | 0.359408i | −0.784738 | − | 0.619828i | \(-0.787203\pi\) |
−0.202727 | + | 0.979235i | \(0.564980\pi\) | |||||||
\(228\) | −1.29576 | + | 11.2794i | −0.0858141 | + | 0.747000i | ||||
\(229\) | −8.90461 | + | 7.47186i | −0.588433 | + | 0.493754i | −0.887704 | − | 0.460414i | \(-0.847701\pi\) |
0.299271 | + | 0.954168i | \(0.403257\pi\) | |||||||
\(230\) | −2.07315 | − | 11.7574i | −0.136700 | − | 0.775262i | ||||
\(231\) | −5.56818 | + | 8.80893i | −0.366359 | + | 0.579585i | ||||
\(232\) | −3.90857 | − | 3.27968i | −0.256610 | − | 0.215321i | ||||
\(233\) | −0.855748 | + | 1.48220i | −0.0560619 | + | 0.0971021i | −0.892694 | − | 0.450663i | \(-0.851188\pi\) |
0.836632 | + | 0.547765i | \(0.184521\pi\) | |||||||
\(234\) | 11.9361 | − | 6.05380i | 0.780289 | − | 0.395749i | ||||
\(235\) | −7.62928 | − | 13.2143i | −0.497679 | − | 0.862006i | ||||
\(236\) | 2.62887 | + | 2.20588i | 0.171125 | + | 0.143591i | ||||
\(237\) | 4.43625 | − | 8.87703i | 0.288165 | − | 0.576625i | ||||
\(238\) | 2.82320 | − | 0.717322i | 0.183001 | − | 0.0464971i | ||||
\(239\) | 1.80505 | + | 0.656984i | 0.116759 | + | 0.0424968i | 0.399739 | − | 0.916629i | \(-0.369101\pi\) |
−0.282980 | + | 0.959126i | \(0.591323\pi\) | |||||||
\(240\) | 0.851152 | + | 3.55990i | 0.0549416 | + | 0.229790i | ||||
\(241\) | 11.7853 | + | 9.88901i | 0.759155 | + | 0.637007i | 0.937907 | − | 0.346887i | \(-0.112761\pi\) |
−0.178751 | + | 0.983894i | \(0.557206\pi\) | |||||||
\(242\) | 2.91424 | − | 5.04761i | 0.187334 | − | 0.324473i | ||||
\(243\) | 12.4112 | − | 9.43200i | 0.796177 | − | 0.605063i | ||||
\(244\) | −1.42843 | −0.0914460 | ||||||||
\(245\) | 12.6145 | + | 7.72645i | 0.805909 | + | 0.493625i | ||||
\(246\) | 12.3087 | + | 3.65848i | 0.784777 | + | 0.233256i | ||||
\(247\) | −5.07802 | − | 28.7989i | −0.323107 | − | 1.83243i | ||||
\(248\) | 1.23018 | + | 6.97669i | 0.0781164 | + | 0.443020i | ||||
\(249\) | −0.955667 | − | 1.44678i | −0.0605629 | − | 0.0916859i | ||||
\(250\) | 8.95900 | + | 7.51749i | 0.566617 | + | 0.475448i | ||||
\(251\) | 8.80203 | − | 15.2456i | 0.555579 | − | 0.962292i | −0.442279 | − | 0.896878i | \(-0.645830\pi\) |
0.997858 | − | 0.0654140i | \(-0.0208368\pi\) | |||||||
\(252\) | −4.10572 | − | 6.79287i | −0.258636 | − | 0.427910i | ||||
\(253\) | 6.42380 | + | 11.1263i | 0.403861 | + | 0.699507i | ||||
\(254\) | 3.28440 | − | 18.6268i | 0.206082 | − | 1.16875i | ||||
\(255\) | 3.69708 | − | 1.60345i | 0.231520 | − | 0.100412i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −3.50764 | + | 2.94326i | −0.218801 | + | 0.183596i | −0.745599 | − | 0.666395i | \(-0.767837\pi\) |
0.526799 | + | 0.849990i | \(0.323392\pi\) | |||||||
\(258\) | −10.1736 | + | 4.41237i | −0.633383 | + | 0.274702i | ||||
\(259\) | −17.0095 | + | 23.6331i | −1.05692 | + | 1.46849i | ||||
\(260\) | −4.71377 | − | 8.16449i | −0.292336 | − | 0.506340i | ||||
\(261\) | 14.9081 | + | 3.47104i | 0.922786 | + | 0.214852i | ||||
\(262\) | 7.13571 | + | 12.3594i | 0.440846 | + | 0.763567i | ||||
\(263\) | −3.70247 | + | 20.9977i | −0.228304 | + | 1.29478i | 0.627964 | + | 0.778243i | \(0.283889\pi\) |
−0.856267 | + | 0.516533i | \(0.827222\pi\) | |||||||
\(264\) | −2.17094 | − | 3.28657i | −0.133612 | − | 0.202275i | ||||
\(265\) | 7.61506 | − | 6.38980i | 0.467790 | − | 0.392522i | ||||
\(266\) | −16.8089 | + | 4.27082i | −1.03062 | + | 0.261861i | ||||
\(267\) | 10.2107 | − | 9.67156i | 0.624886 | − | 0.591890i | ||||
\(268\) | 6.70999 | − | 2.44224i | 0.409878 | − | 0.149183i | ||||
\(269\) | −11.0845 | + | 19.1990i | −0.675836 | + | 1.17058i | 0.300387 | + | 0.953817i | \(0.402884\pi\) |
−0.976224 | + | 0.216766i | \(0.930449\pi\) | |||||||
\(270\) | −7.10806 | − | 8.36967i | −0.432583 | − | 0.509362i | ||||
\(271\) | −10.0283 | − | 17.3695i | −0.609175 | − | 1.05512i | −0.991377 | − | 0.131044i | \(-0.958167\pi\) |
0.382201 | − | 0.924079i | \(-0.375166\pi\) | |||||||
\(272\) | −0.191182 | + | 1.08425i | −0.0115921 | + | 0.0657422i | ||||
\(273\) | 15.1215 | + | 13.7581i | 0.915194 | + | 0.832681i | ||||
\(274\) | 17.3970 | + | 6.33198i | 1.05099 | + | 0.382529i | ||||
\(275\) | −1.14162 | − | 0.415516i | −0.0688423 | − | 0.0250566i | ||||
\(276\) | −9.76759 | + | 0.588288i | −0.587940 | + | 0.0354108i | ||||
\(277\) | −1.02156 | + | 5.79353i | −0.0613794 | + | 0.348100i | 0.938616 | + | 0.344965i | \(0.112109\pi\) |
−0.999995 | + | 0.00313519i | \(0.999002\pi\) | |||||||
\(278\) | 0.951640 | 0.0570756 | ||||||||
\(279\) | −12.7587 | − | 16.9971i | −0.763845 | − | 1.01759i | ||||
\(280\) | −4.62121 | + | 3.14719i | −0.276170 | + | 0.188081i | ||||
\(281\) | −23.2653 | − | 19.5219i | −1.38789 | − | 1.16458i | −0.966186 | − | 0.257847i | \(-0.916987\pi\) |
−0.421706 | − | 0.906733i | \(-0.638569\pi\) | |||||||
\(282\) | −11.4736 | + | 4.97617i | −0.683242 | + | 0.296326i | ||||
\(283\) | −0.146520 | − | 0.0533290i | −0.00870972 | − | 0.00317008i | 0.337662 | − | 0.941268i | \(-0.390364\pi\) |
−0.346371 | + | 0.938097i | \(0.612586\pi\) | |||||||
\(284\) | −5.14816 | − | 1.87378i | −0.305487 | − | 0.111188i | ||||
\(285\) | −22.0118 | + | 9.54667i | −1.30387 | + | 0.565496i | ||||
\(286\) | 7.77165 | + | 6.52119i | 0.459547 | + | 0.385606i | ||||
\(287\) | 1.45572 | + | 19.5608i | 0.0859282 | + | 1.15464i | ||||
\(288\) | 2.97831 | − | 0.360065i | 0.175499 | − | 0.0212170i | ||||
\(289\) | −15.7879 | −0.928697 | ||||||||
\(290\) | 1.87233 | − | 10.6185i | 0.109947 | − | 0.623540i | ||||
\(291\) | −1.37154 | + | 0.0826058i | −0.0804010 | + | 0.00484244i | ||||
\(292\) | −12.2748 | − | 4.46765i | −0.718326 | − | 0.261449i | ||||
\(293\) | 5.17996 | + | 1.88535i | 0.302617 | + | 0.110143i | 0.488866 | − | 0.872359i | \(-0.337411\pi\) |
−0.186249 | + | 0.982503i | \(0.559633\pi\) | |||||||
\(294\) | 7.47135 | − | 9.54877i | 0.435738 | − | 0.556895i | ||||
\(295\) | −1.25931 | + | 7.14191i | −0.0733199 | + | 0.415818i | ||||
\(296\) | −5.50275 | − | 9.53104i | −0.319841 | − | 0.553980i | ||||
\(297\) | 10.2683 | + | 5.84744i | 0.595828 | + | 0.339303i | ||||
\(298\) | −8.93157 | + | 15.4699i | −0.517392 | + | 0.896149i | ||||
\(299\) | 23.6837 | − | 8.62015i | 1.36966 | − | 0.498516i | ||||
\(300\) | 0.671789 | − | 0.636317i | 0.0387858 | − | 0.0367378i | ||||
\(301\) | −11.8213 | − | 12.1323i | −0.681366 | − | 0.699293i | ||||
\(302\) | 4.80116 | − | 4.02865i | 0.276275 | − | 0.231823i | ||||
\(303\) | 10.5141 | + | 15.9173i | 0.604021 | + | 0.914424i | ||||
\(304\) | 1.13827 | − | 6.45544i | 0.0652841 | − | 0.370245i | ||||
\(305\) | −1.50931 | − | 2.61420i | −0.0864227 | − | 0.149689i | ||||
\(306\) | −0.959801 | − | 3.16039i | −0.0548681 | − | 0.180668i | ||||
\(307\) | −6.56559 | − | 11.3719i | −0.374718 | − | 0.649031i | 0.615567 | − | 0.788085i | \(-0.288927\pi\) |
−0.990285 | + | 0.139054i | \(0.955594\pi\) | |||||||
\(308\) | 3.51473 | − | 4.88337i | 0.200270 | − | 0.278256i | ||||
\(309\) | −24.8444 | + | 10.7752i | −1.41335 | + | 0.612978i | ||||
\(310\) | −11.4683 | + | 9.62307i | −0.651357 | + | 0.546553i | ||||
\(311\) | 6.56014 | + | 2.38770i | 0.371992 | + | 0.135394i | 0.521249 | − | 0.853404i | \(-0.325466\pi\) |
−0.149258 | + | 0.988798i | \(0.547688\pi\) | |||||||
\(312\) | −7.08899 | + | 3.07454i | −0.401335 | + | 0.174061i | ||||
\(313\) | 1.71402 | − | 9.72070i | 0.0968822 | − | 0.549446i | −0.897272 | − | 0.441478i | \(-0.854454\pi\) |
0.994154 | − | 0.107968i | \(-0.0344346\pi\) | |||||||
\(314\) | −3.45187 | − | 5.97881i | −0.194800 | − | 0.337404i | ||||
\(315\) | 8.09356 | − | 14.6914i | 0.456020 | − | 0.827768i | ||||
\(316\) | −2.86476 | + | 4.96190i | −0.161155 | + | 0.279129i | ||||
\(317\) | −18.5409 | − | 15.5576i | −1.04136 | − | 0.873803i | −0.0491995 | − | 0.998789i | \(-0.515667\pi\) |
−0.992159 | + | 0.124986i | \(0.960111\pi\) | |||||||
\(318\) | −4.49066 | − | 6.79838i | −0.251824 | − | 0.381234i | ||||
\(319\) | 2.01485 | + | 11.4268i | 0.112810 | + | 0.639777i | ||||
\(320\) | −0.366960 | − | 2.08113i | −0.0205137 | − | 0.116339i | ||||
\(321\) | −18.6187 | − | 5.53397i | −1.03920 | − | 0.308876i | ||||
\(322\) | −6.14058 | − | 13.6277i | −0.342201 | − | 0.759442i | ||||
\(323\) | −7.21691 | −0.401560 | ||||||||
\(324\) | −7.48002 | + | 5.00493i | −0.415557 | + | 0.278051i | ||||
\(325\) | −1.19165 | + | 2.06399i | −0.0661006 | + | 0.114490i | ||||
\(326\) | −11.8289 | − | 9.92563i | −0.655142 | − | 0.549730i | ||||
\(327\) | 2.59487 | + | 10.8529i | 0.143497 | + | 0.600167i | ||||
\(328\) | −6.96662 | − | 2.53564i | −0.384667 | − | 0.140007i | ||||
\(329\) | −13.3317 | − | 13.6825i | −0.735003 | − | 0.754340i | ||||
\(330\) | 3.72096 | − | 7.44573i | 0.204832 | − | 0.409874i | ||||
\(331\) | −19.4046 | − | 16.2824i | −1.06658 | − | 0.894963i | −0.0718373 | − | 0.997416i | \(-0.522886\pi\) |
−0.994738 | + | 0.102454i | \(0.967331\pi\) | |||||||
\(332\) | 0.500539 | + | 0.866958i | 0.0274706 | + | 0.0475805i | ||||
\(333\) | 27.6564 | + | 18.0336i | 1.51556 | + | 0.988234i | ||||
\(334\) | 0.0816807 | − | 0.141475i | 0.00446937 | − | 0.00774117i | ||||
\(335\) | 11.5595 | + | 9.69955i | 0.631562 | + | 0.529943i | ||||
\(336\) | 2.13037 | + | 4.05728i | 0.116221 | + | 0.221343i | ||||
\(337\) | 3.37701 | + | 19.1520i | 0.183958 | + | 1.04328i | 0.927287 | + | 0.374350i | \(0.122134\pi\) |
−0.743330 | + | 0.668925i | \(0.766755\pi\) | |||||||
\(338\) | 5.28737 | − | 4.43663i | 0.287595 | − | 0.241321i | ||||
\(339\) | 2.47196 | − | 21.5181i | 0.134259 | − | 1.16870i | ||||
\(340\) | −2.18631 | + | 0.795751i | −0.118569 | + | 0.0431556i | ||||
\(341\) | 8.05521 | − | 13.9520i | 0.436214 | − | 0.755545i | ||||
\(342\) | 5.71450 | + | 18.8165i | 0.309005 | + | 1.01748i | ||||
\(343\) | 17.6890 | + | 5.48636i | 0.955115 | + | 0.296236i | ||||
\(344\) | 6.01628 | − | 2.18975i | 0.324376 | − | 0.118063i | ||||
\(345\) | −11.3972 | − | 17.2542i | −0.613607 | − | 0.928937i | ||||
\(346\) | 2.78951 | + | 15.8201i | 0.149965 | + | 0.850494i | ||||
\(347\) | 13.0223 | − | 10.9270i | 0.699073 | − | 0.586592i | −0.222437 | − | 0.974947i | \(-0.571401\pi\) |
0.921510 | + | 0.388355i | \(0.126957\pi\) | |||||||
\(348\) | −8.47113 | − | 2.51784i | −0.454100 | − | 0.134970i | ||||
\(349\) | −3.12520 | + | 17.7239i | −0.167288 | + | 0.948737i | 0.779386 | + | 0.626544i | \(0.215531\pi\) |
−0.946674 | + | 0.322193i | \(0.895580\pi\) | |||||||
\(350\) | 1.27314 | + | 0.613925i | 0.0680525 | + | 0.0328157i | ||||
\(351\) | 14.7948 | − | 17.8458i | 0.789688 | − | 0.952538i | ||||
\(352\) | 1.13705 | + | 1.96943i | 0.0606049 | + | 0.104971i | ||||
\(353\) | −25.6495 | − | 21.5225i | −1.36518 | − | 1.14552i | −0.974344 | − | 0.225066i | \(-0.927740\pi\) |
−0.390840 | − | 0.920459i | \(-0.627815\pi\) | |||||||
\(354\) | 5.69760 | + | 1.69348i | 0.302824 | + | 0.0900072i | ||||
\(355\) | −2.01041 | − | 11.4016i | −0.106702 | − | 0.605135i | ||||
\(356\) | −6.22020 | + | 5.21936i | −0.329670 | + | 0.276626i | ||||
\(357\) | 3.99181 | − | 3.08553i | 0.211269 | − | 0.163304i | ||||
\(358\) | −4.93462 | + | 1.79606i | −0.260803 | + | 0.0949245i | ||||
\(359\) | −19.2161 | −1.01418 | −0.507092 | − | 0.861892i | \(-0.669280\pi\) | ||||
−0.507092 | + | 0.861892i | \(0.669280\pi\) | |||||||
\(360\) | 3.80590 | + | 5.07021i | 0.200589 | + | 0.267224i | ||||
\(361\) | 23.9683 | 1.26149 | ||||||||
\(362\) | −2.81378 | + | 15.9577i | −0.147889 | + | 0.838721i | ||||
\(363\) | 1.15215 | − | 10.0293i | 0.0604720 | − | 0.526400i | ||||
\(364\) | −8.23705 | − | 8.45377i | −0.431739 | − | 0.443098i | ||||
\(365\) | −4.79342 | − | 27.1848i | −0.250899 | − | 1.42292i | ||||
\(366\) | −2.26983 | + | 0.984440i | −0.118646 | + | 0.0514575i | ||||
\(367\) | 17.4733 | − | 6.35975i | 0.912097 | − | 0.331976i | 0.157007 | − | 0.987597i | \(-0.449815\pi\) |
0.755090 | + | 0.655621i | \(0.227593\pi\) | |||||||
\(368\) | 5.64954 | 0.294503 | ||||||||
\(369\) | 22.0804 | − | 2.66942i | 1.14946 | − | 0.138965i | ||||
\(370\) | 11.6286 | − | 20.1413i | 0.604543 | − | 1.04710i | ||||
\(371\) | 7.27033 | − | 10.1014i | 0.377457 | − | 0.524439i | ||||
\(372\) | 6.76296 | + | 10.2384i | 0.350643 | + | 0.530836i | ||||
\(373\) | −22.2873 | − | 8.11191i | −1.15399 | − | 0.420019i | −0.307045 | − | 0.951695i | \(-0.599340\pi\) |
−0.846948 | + | 0.531676i | \(0.821562\pi\) | |||||||
\(374\) | 1.91796 | − | 1.60936i | 0.0991755 | − | 0.0832181i | ||||
\(375\) | 19.4170 | + | 5.77125i | 1.00269 | + | 0.298026i | ||||
\(376\) | 6.78502 | − | 2.46955i | 0.349911 | − | 0.127357i | ||||
\(377\) | 22.7622 | 1.17231 | ||||||||
\(378\) | −11.2056 | − | 7.96455i | −0.576355 | − | 0.409652i | ||||
\(379\) | −2.81922 | −0.144814 | −0.0724069 | − | 0.997375i | \(-0.523068\pi\) | ||||
−0.0724069 | + | 0.997375i | \(0.523068\pi\) | |||||||
\(380\) | 13.0169 | − | 4.73777i | 0.667754 | − | 0.243043i | ||||
\(381\) | −7.61808 | − | 31.8622i | −0.390286 | − | 1.63235i | ||||
\(382\) | 3.60864 | − | 3.02801i | 0.184634 | − | 0.154926i | ||||
\(383\) | −5.85628 | − | 2.13151i | −0.299242 | − | 0.108915i | 0.188036 | − | 0.982162i | \(-0.439788\pi\) |
−0.487278 | + | 0.873247i | \(0.662010\pi\) | |||||||
\(384\) | −1.72892 | + | 0.104130i | −0.0882285 | + | 0.00531387i | ||||
\(385\) | 12.6509 | + | 1.27251i | 0.644748 | + | 0.0648532i | ||||
\(386\) | −3.37970 | + | 5.85382i | −0.172022 | + | 0.297951i | ||||
\(387\) | −13.1254 | + | 14.0228i | −0.667201 | + | 0.712821i | ||||
\(388\) | 0.793293 | 0.0402733 | ||||||||
\(389\) | −22.4562 | + | 8.17339i | −1.13858 | + | 0.414407i | −0.841399 | − | 0.540415i | \(-0.818267\pi\) |
−0.297177 | + | 0.954823i | \(0.596045\pi\) | |||||||
\(390\) | −13.1171 | − | 9.72506i | −0.664211 | − | 0.492448i | ||||
\(391\) | −1.08009 | − | 6.12550i | −0.0546225 | − | 0.309780i | ||||
\(392\) | −4.63722 | + | 5.24368i | −0.234215 | + | 0.264846i | ||||
\(393\) | 19.8567 | + | 14.7218i | 1.00164 | + | 0.742617i | ||||
\(394\) | −1.74131 | + | 9.87546i | −0.0877259 | + | 0.497518i | ||||
\(395\) | −12.1078 | −0.609211 | ||||||||
\(396\) | −5.71473 | − | 3.72633i | −0.287176 | − | 0.187255i | ||||
\(397\) | 8.63907 | 0.433583 | 0.216791 | − | 0.976218i | \(-0.430441\pi\) | ||||
0.216791 | + | 0.976218i | \(0.430441\pi\) | |||||||
\(398\) | 3.89051 | − | 1.41603i | 0.195014 | − | 0.0709792i | ||||
\(399\) | −23.7666 | + | 18.3707i | −1.18982 | + | 0.919688i | ||||
\(400\) | −0.409243 | + | 0.343396i | −0.0204621 | + | 0.0171698i | ||||
\(401\) | 0.979422 | + | 5.55458i | 0.0489100 | + | 0.277382i | 0.999448 | − | 0.0332264i | \(-0.0105782\pi\) |
−0.950538 | + | 0.310609i | \(0.899467\pi\) | |||||||
\(402\) | 8.97929 | − | 8.50516i | 0.447846 | − | 0.424199i | ||||
\(403\) | −24.2104 | − | 20.3149i | −1.20601 | − | 1.01196i | ||||
\(404\) | −5.50687 | − | 9.53817i | −0.273977 | − | 0.474542i | ||||
\(405\) | −17.0631 | − | 8.40102i | −0.847874 | − | 0.417450i | ||||
\(406\) | −1.00185 | − | 13.4621i | −0.0497211 | − | 0.668113i | ||||
\(407\) | −4.34599 | + | 24.6473i | −0.215423 | + | 1.22172i | ||||
\(408\) | 0.443441 | + | 1.85467i | 0.0219536 | + | 0.0918197i | ||||
\(409\) | 8.57056 | − | 7.19155i | 0.423787 | − | 0.355599i | −0.405815 | − | 0.913955i | \(-0.633012\pi\) |
0.829601 | + | 0.558356i | \(0.188568\pi\) | |||||||
\(410\) | −2.72054 | − | 15.4289i | −0.134358 | − | 0.761980i | ||||
\(411\) | 32.0083 | − | 1.92781i | 1.57885 | − | 0.0950919i | ||||
\(412\) | 14.6920 | − | 5.34744i | 0.723822 | − | 0.263450i | ||||
\(413\) | 0.673837 | + | 9.05449i | 0.0331573 | + | 0.445542i | ||||
\(414\) | −15.1156 | + | 7.66639i | −0.742892 | + | 0.376782i | ||||
\(415\) | −1.05776 | + | 1.83209i | −0.0519232 | + | 0.0899337i | ||||
\(416\) | 4.19214 | − | 1.52582i | 0.205537 | − | 0.0748092i | ||||
\(417\) | 1.51219 | − | 0.655847i | 0.0740523 | − | 0.0321169i | ||||
\(418\) | −11.4192 | + | 9.58188i | −0.558533 | + | 0.468665i | ||||
\(419\) | 6.33507 | + | 35.9280i | 0.309488 | + | 1.75520i | 0.601587 | + | 0.798808i | \(0.294535\pi\) |
−0.292098 | + | 0.956388i | \(0.594353\pi\) | |||||||
\(420\) | −5.17431 | + | 8.18583i | −0.252480 | + | 0.399427i | ||||
\(421\) | 7.37289 | + | 6.18659i | 0.359333 | + | 0.301516i | 0.804525 | − | 0.593919i | \(-0.202420\pi\) |
−0.445192 | + | 0.895435i | \(0.646865\pi\) | |||||||
\(422\) | −3.94308 | + | 6.82962i | −0.191946 | + | 0.332461i | ||||
\(423\) | −14.8025 | + | 15.8146i | −0.719722 | + | 0.768933i | ||||
\(424\) | 2.35202 | + | 4.07382i | 0.114224 | + | 0.197842i | ||||
\(425\) | 0.450566 | + | 0.378070i | 0.0218557 | + | 0.0183391i | ||||
\(426\) | −9.47198 | + | 0.570484i | −0.458919 | + | 0.0276400i | ||||
\(427\) | −2.63743 | − | 2.70682i | −0.127634 | − | 0.130992i | ||||
\(428\) | 10.5380 | + | 3.83552i | 0.509373 | + | 0.185397i | ||||
\(429\) | 16.8437 | + | 5.00638i | 0.813221 | + | 0.241710i | ||||
\(430\) | 10.3644 | + | 8.69677i | 0.499816 | + | 0.419396i | ||||
\(431\) | −10.4177 | + | 18.0440i | −0.501802 | + | 0.869147i | 0.498195 | + | 0.867065i | \(0.333996\pi\) |
−0.999998 | + | 0.00208252i | \(0.999337\pi\) | |||||||
\(432\) | 4.48450 | − | 2.62474i | 0.215761 | − | 0.126283i | ||||
\(433\) | −5.88744 | −0.282932 | −0.141466 | − | 0.989943i | \(-0.545182\pi\) | ||||
−0.141466 | + | 0.989943i | \(0.545182\pi\) | |||||||
\(434\) | −10.9492 | + | 15.2128i | −0.525577 | + | 0.730236i | ||||
\(435\) | −4.34281 | − | 18.1635i | −0.208222 | − | 0.870875i | ||||
\(436\) | −1.11874 | − | 6.34466i | −0.0535777 | − | 0.303854i | ||||
\(437\) | 6.43069 | + | 36.4702i | 0.307621 | + | 1.74461i | ||||
\(438\) | −22.5840 | + | 1.36020i | −1.07911 | + | 0.0649931i | ||||
\(439\) | 8.38562 | + | 7.03637i | 0.400224 | + | 0.335828i | 0.820580 | − | 0.571531i | \(-0.193650\pi\) |
−0.420356 | + | 0.907359i | \(0.638095\pi\) | |||||||
\(440\) | −2.40285 | + | 4.16186i | −0.114552 | + | 0.198409i | ||||
\(441\) | 5.29147 | − | 20.3224i | 0.251975 | − | 0.967734i | ||||
\(442\) | −2.45583 | − | 4.25361i | −0.116812 | − | 0.202324i | ||||
\(443\) | 1.65875 | − | 9.40723i | 0.0788095 | − | 0.446951i | −0.919712 | − | 0.392594i | \(-0.871578\pi\) |
0.998522 | − | 0.0543573i | \(-0.0173110\pi\) | |||||||
\(444\) | −15.3126 | − | 11.3528i | −0.726705 | − | 0.538781i | ||||
\(445\) | −16.1244 | − | 5.86881i | −0.764371 | − | 0.278208i | ||||
\(446\) | 21.9558 | − | 18.4231i | 1.03964 | − | 0.872360i | ||||
\(447\) | −3.53110 | + | 30.7377i | −0.167015 | + | 1.45384i | ||||
\(448\) | −1.08692 | − | 2.41218i | −0.0513520 | − | 0.113965i | ||||
\(449\) | 11.1673 | + | 19.3423i | 0.527016 | + | 0.912818i | 0.999504 | + | 0.0314814i | \(0.0100225\pi\) |
−0.472488 | + | 0.881337i | \(0.656644\pi\) | |||||||
\(450\) | 0.628964 | − | 1.47411i | 0.0296496 | − | 0.0694903i | ||||
\(451\) | 8.42976 | + | 14.6008i | 0.396942 | + | 0.687523i | ||||
\(452\) | −2.17150 | + | 12.3152i | −0.102139 | + | 0.579258i | ||||
\(453\) | 4.85277 | − | 9.71051i | 0.228003 | − | 0.456239i | ||||
\(454\) | 12.1284 | − | 10.1769i | 0.569213 | − | 0.477626i | ||||
\(455\) | 6.76796 | − | 24.0072i | 0.317287 | − | 1.12547i | ||||
\(456\) | −2.64018 | − | 11.0424i | −0.123638 | − | 0.517107i | ||||
\(457\) | 22.6895 | − | 8.25832i | 1.06137 | − | 0.386308i | 0.248429 | − | 0.968650i | \(-0.420086\pi\) |
0.812944 | + | 0.582342i | \(0.197864\pi\) | |||||||
\(458\) | 5.81207 | − | 10.0668i | 0.271580 | − | 0.470391i | ||||
\(459\) | −3.70322 | − | 4.36051i | −0.172852 | − | 0.203531i | ||||
\(460\) | 5.96941 | + | 10.3393i | 0.278325 | + | 0.482073i | ||||
\(461\) | −2.93414 | + | 16.6404i | −0.136657 | + | 0.775019i | 0.837035 | + | 0.547149i | \(0.184287\pi\) |
−0.973692 | + | 0.227869i | \(0.926824\pi\) | |||||||
\(462\) | 2.21954 | − | 10.1821i | 0.103262 | − | 0.473715i | ||||
\(463\) | −19.7896 | − | 7.20282i | −0.919701 | − | 0.334744i | −0.161581 | − | 0.986859i | \(-0.551659\pi\) |
−0.758119 | + | 0.652116i | \(0.773882\pi\) | |||||||
\(464\) | 4.79457 | + | 1.74508i | 0.222582 | + | 0.0810133i | ||||
\(465\) | −11.5916 | + | 23.1951i | −0.537548 | + | 1.07565i | ||||
\(466\) | 0.297198 | − | 1.68550i | 0.0137674 | − | 0.0780791i | ||||
\(467\) | 26.1988 | 1.21233 | 0.606167 | − | 0.795337i | \(-0.292706\pi\) | ||||
0.606167 | + | 0.795337i | \(0.292706\pi\) | |||||||
\(468\) | −9.14577 | + | 9.77111i | −0.422763 | + | 0.451670i | ||||
\(469\) | 17.0171 | + | 8.20586i | 0.785779 | + | 0.378911i | ||||
\(470\) | 11.6887 | + | 9.80801i | 0.539161 | + | 0.452410i | ||||
\(471\) | −9.60559 | − | 7.12161i | −0.442602 | − | 0.328146i | ||||
\(472\) | −3.22478 | − | 1.17372i | −0.148433 | − | 0.0540250i | ||||
\(473\) | −13.6816 | − | 4.97970i | −0.629081 | − | 0.228967i | ||||
\(474\) | −1.13258 | + | 9.85897i | −0.0520212 | + | 0.452837i | ||||
\(475\) | −2.68260 | − | 2.25097i | −0.123086 | − | 0.103281i | ||||
\(476\) | −2.40760 | + | 1.63965i | −0.110352 | + | 0.0751534i | ||||
\(477\) | −11.8211 | − | 7.70803i | −0.541251 | − | 0.352927i | ||||
\(478\) | −1.92089 | −0.0878596 | ||||||||
\(479\) | −4.52515 | + | 25.6634i | −0.206760 | + | 1.17259i | 0.687887 | + | 0.725818i | \(0.258538\pi\) |
−0.894647 | + | 0.446774i | \(0.852573\pi\) | |||||||
\(480\) | −2.01738 | − | 3.05410i | −0.0920803 | − | 0.139400i | ||||
\(481\) | 46.1366 | + | 16.7923i | 2.10365 | + | 0.765665i | ||||
\(482\) | −14.4568 | − | 5.26183i | −0.658487 | − | 0.239670i | ||||
\(483\) | −19.1495 | − | 17.4230i | −0.871332 | − | 0.792773i | ||||
\(484\) | −1.01211 | + | 5.73993i | −0.0460048 | + | 0.260906i | ||||
\(485\) | 0.838208 | + | 1.45182i | 0.0380611 | + | 0.0659237i | ||||
\(486\) | −8.43676 | + | 13.1081i | −0.382699 | + | 0.594594i | ||||
\(487\) | 5.52175 | − | 9.56395i | 0.250214 | − | 0.433384i | −0.713370 | − | 0.700787i | \(-0.752832\pi\) |
0.963585 | + | 0.267403i | \(0.0861655\pi\) | |||||||
\(488\) | 1.34229 | − | 0.488553i | 0.0607625 | − | 0.0221157i | ||||
\(489\) | −25.6371 | − | 7.62000i | −1.15935 | − | 0.344588i | ||||
\(490\) | −14.4963 | − | 2.94609i | −0.654877 | − | 0.133091i | ||||
\(491\) | 5.21300 | − | 4.37422i | 0.235259 | − | 0.197406i | −0.517535 | − | 0.855662i | \(-0.673150\pi\) |
0.752794 | + | 0.658256i | \(0.228706\pi\) | |||||||
\(492\) | −12.8177 | + | 0.771992i | −0.577867 | + | 0.0348041i | ||||
\(493\) | 0.975463 | − | 5.53213i | 0.0439326 | − | 0.249154i | ||||
\(494\) | 14.6216 | + | 25.3253i | 0.657856 | + | 1.13944i | ||||
\(495\) | 0.781330 | − | 14.3959i | 0.0351182 | − | 0.647049i | ||||
\(496\) | −3.54216 | − | 6.13519i | −0.159048 | − | 0.275478i | ||||
\(497\) | −5.95475 | − | 13.2153i | −0.267107 | − | 0.592786i | ||||
\(498\) | 1.39286 | + | 1.03267i | 0.0624156 | + | 0.0462750i | ||||
\(499\) | −26.5263 | + | 22.2582i | −1.18748 | + | 0.996413i | −0.187579 | + | 0.982250i | \(0.560064\pi\) |
−0.999900 | + | 0.0141634i | \(0.995492\pi\) | |||||||
\(500\) | −10.9898 | − | 3.99997i | −0.491480 | − | 0.178884i | ||||
\(501\) | 0.0322925 | − | 0.281101i | 0.00144272 | − | 0.0125587i | ||||
\(502\) | −3.05691 | + | 17.3366i | −0.136437 | + | 0.773771i | ||||
\(503\) | 17.7568 | + | 30.7556i | 0.791735 | + | 1.37133i | 0.924892 | + | 0.380231i | \(0.124155\pi\) |
−0.133157 | + | 0.991095i | \(0.542511\pi\) | |||||||
\(504\) | 6.18142 | + | 4.97897i | 0.275342 | + | 0.221781i | ||||
\(505\) | 11.6373 | − | 20.1564i | 0.517854 | − | 0.896949i | ||||
\(506\) | −9.84183 | − | 8.25828i | −0.437523 | − | 0.367125i | ||||
\(507\) | 5.34421 | − | 10.6939i | 0.237345 | − | 0.474933i | ||||
\(508\) | 3.28440 | + | 18.6268i | 0.145722 | + | 0.826430i | ||||
\(509\) | 5.03795 | + | 28.5716i | 0.223303 | + | 1.26641i | 0.865903 | + | 0.500212i | \(0.166745\pi\) |
−0.642600 | + | 0.766202i | \(0.722144\pi\) | |||||||
\(510\) | −2.92571 | + | 2.77123i | −0.129553 | + | 0.122712i | ||||
\(511\) | −14.1979 | − | 31.5092i | −0.628078 | − | 1.39388i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 22.0484 | + | 25.9618i | 0.973460 | + | 1.14624i | ||||
\(514\) | 2.28945 | − | 3.96545i | 0.100983 | − | 0.174908i | ||||
\(515\) | 25.3103 | + | 21.2378i | 1.11530 | + | 0.935851i | ||||
\(516\) | 8.05097 | − | 7.62586i | 0.354424 | − | 0.335710i | ||||
\(517\) | −15.4298 | − | 5.61599i | −0.678602 | − | 0.246991i | ||||
\(518\) | 7.90076 | − | 28.0254i | 0.347139 | − | 1.23137i | ||||
\(519\) | 15.3355 | + | 23.2163i | 0.673152 | + | 1.01908i | ||||
\(520\) | 7.22192 | + | 6.05991i | 0.316702 | + | 0.265745i | ||||
\(521\) | −17.9808 | − | 31.1437i | −0.787754 | − | 1.36443i | −0.927340 | − | 0.374221i | \(-0.877910\pi\) |
0.139585 | − | 0.990210i | \(-0.455423\pi\) | |||||||
\(522\) | −15.1962 | + | 1.83715i | −0.665118 | + | 0.0804099i | ||||
\(523\) | 1.08651 | − | 1.88190i | 0.0475100 | − | 0.0822897i | −0.841292 | − | 0.540580i | \(-0.818205\pi\) |
0.888802 | + | 0.458291i | \(0.151538\pi\) | |||||||
\(524\) | −10.9325 | − | 9.17349i | −0.477590 | − | 0.400746i | ||||
\(525\) | 2.44618 | + | 0.0981290i | 0.106760 | + | 0.00428270i | ||||
\(526\) | −3.70247 | − | 20.9977i | −0.161435 | − | 0.915544i | ||||
\(527\) | −5.97488 | + | 5.01352i | −0.260270 | + | 0.218392i | ||||
\(528\) | 3.16409 | + | 2.34586i | 0.137699 | + | 0.102091i | ||||
\(529\) | −8.37950 | + | 3.04989i | −0.364326 | + | 0.132604i | ||||
\(530\) | −4.97038 | + | 8.60895i | −0.215899 | + | 0.373949i | ||||
\(531\) | 10.2208 | − | 1.23565i | 0.443545 | − | 0.0536227i | ||||
\(532\) | 14.3345 | − | 9.76223i | 0.621478 | − | 0.423246i | ||||
\(533\) | 31.0794 | − | 11.3120i | 1.34620 | − | 0.489976i | ||||
\(534\) | −6.28706 | + | 12.5806i | −0.272068 | + | 0.544414i | ||||
\(535\) | 4.11520 | + | 23.3384i | 0.177915 | + | 1.00901i | ||||
\(536\) | −5.47003 | + | 4.58990i | −0.236269 | + | 0.198254i | ||||
\(537\) | −6.60350 | + | 6.25482i | −0.284962 | + | 0.269915i | ||||
\(538\) | 3.84962 | − | 21.8323i | 0.165969 | − | 0.941256i | ||||
\(539\) | 15.7433 | − | 2.35629i | 0.678113 | − | 0.101493i | ||||
\(540\) | 9.54198 | + | 5.43382i | 0.410622 | + | 0.233834i | ||||
\(541\) | 9.39992 | + | 16.2811i | 0.404134 | + | 0.699981i | 0.994220 | − | 0.107359i | \(-0.0342395\pi\) |
−0.590086 | + | 0.807340i | \(0.700906\pi\) | |||||||
\(542\) | 15.3642 | + | 12.8921i | 0.659950 | + | 0.553764i | ||||
\(543\) | 6.52648 | + | 27.2966i | 0.280078 | + | 1.17141i | ||||
\(544\) | −0.191182 | − | 1.08425i | −0.00819687 | − | 0.0464867i | ||||
\(545\) | 10.4294 | − | 8.75130i | 0.446746 | − | 0.374865i | ||||
\(546\) | −18.9151 | − | 7.75657i | −0.809492 | − | 0.331951i | ||||
\(547\) | 8.86581 | − | 3.22689i | 0.379075 | − | 0.137972i | −0.145453 | − | 0.989365i | \(-0.546464\pi\) |
0.524528 | + | 0.851393i | \(0.324242\pi\) | |||||||
\(548\) | −18.5135 | −0.790856 | ||||||||
\(549\) | −2.92839 | + | 3.12862i | −0.124981 | + | 0.133526i | ||||
\(550\) | 1.21489 | 0.0518030 | ||||||||
\(551\) | −5.80775 | + | 32.9374i | −0.247418 | + | 1.40318i | ||||
\(552\) | 8.97732 | − | 3.89352i | 0.382100 | − | 0.165719i | ||||
\(553\) | −14.6920 | + | 3.73297i | −0.624769 | + | 0.158742i | ||||
\(554\) | −1.02156 | − | 5.79353i | −0.0434018 | − | 0.246144i | ||||
\(555\) | 4.59737 | − | 40.0195i | 0.195148 | − | 1.69873i | ||||
\(556\) | −0.894249 | + | 0.325480i | −0.0379246 | + | 0.0138034i | ||||
\(557\) | 45.4188 | 1.92446 | 0.962229 | − | 0.272241i | \(-0.0877648\pi\) | ||||
0.962229 | + | 0.272241i | \(0.0877648\pi\) | |||||||
\(558\) | 17.8026 | + | 11.6083i | 0.753646 | + | 0.491420i | ||||
\(559\) | −14.2811 | + | 24.7356i | −0.604027 | + | 1.04621i | ||||
\(560\) | 3.26611 | − | 4.53794i | 0.138019 | − | 0.191763i | ||||
\(561\) | 1.93858 | − | 3.87915i | 0.0818470 | − | 0.163778i | ||||
\(562\) | 28.5391 | + | 10.3874i | 1.20385 | + | 0.438166i | ||||
\(563\) | 15.3230 | − | 12.8576i | 0.645789 | − | 0.541881i | −0.260001 | − | 0.965608i | \(-0.583723\pi\) |
0.905790 | + | 0.423727i | \(0.139278\pi\) | |||||||
\(564\) | 9.07970 | − | 8.60027i | 0.382324 | − | 0.362137i | ||||
\(565\) | −24.8327 | + | 9.03836i | −1.04472 | + | 0.380247i | ||||
\(566\) | 0.155924 | 0.00655396 | ||||||||
\(567\) | −23.2951 | − | 4.93333i | −0.978303 | − | 0.207180i | ||||
\(568\) | 5.47856 | 0.229875 | ||||||||
\(569\) | 33.5534 | − | 12.2124i | 1.40663 | − | 0.511972i | 0.476493 | − | 0.879178i | \(-0.341908\pi\) |
0.930140 | + | 0.367206i | \(0.119686\pi\) | |||||||
\(570\) | 17.4192 | − | 16.4994i | 0.729610 | − | 0.691085i | ||||
\(571\) | 3.28157 | − | 2.75357i | 0.137330 | − | 0.115233i | −0.571535 | − | 0.820577i | \(-0.693652\pi\) |
0.708865 | + | 0.705344i | \(0.249208\pi\) | |||||||
\(572\) | −9.53334 | − | 3.46985i | −0.398609 | − | 0.145082i | ||||
\(573\) | 3.64743 | − | 7.29860i | 0.152374 | − | 0.304903i | ||||
\(574\) | −8.05810 | − | 17.8832i | −0.336339 | − | 0.746431i | ||||
\(575\) | 1.50907 | − | 2.61379i | 0.0629327 | − | 0.109003i | ||||
\(576\) | −2.67555 | + | 1.35699i | −0.111481 | + | 0.0565414i | ||||
\(577\) | 8.30212 | 0.345622 | 0.172811 | − | 0.984955i | \(-0.444715\pi\) | ||||
0.172811 | + | 0.984955i | \(0.444715\pi\) | |||||||
\(578\) | 14.8357 | − | 5.39976i | 0.617085 | − | 0.224601i | ||||
\(579\) | −1.33617 | + | 11.6311i | −0.0555292 | + | 0.483374i | ||||
\(580\) | 1.87233 | + | 10.6185i | 0.0777442 | + | 0.440909i | ||||
\(581\) | −0.718666 | + | 2.54924i | −0.0298153 | + | 0.105760i | ||||
\(582\) | 1.26057 | − | 0.546718i | 0.0522524 | − | 0.0226622i | ||||
\(583\) | 1.85759 | − | 10.5349i | 0.0769336 | − | 0.436312i | ||||
\(584\) | 13.0625 | 0.540531 | ||||||||
\(585\) | −27.5459 | − | 6.41349i | −1.13888 | − | 0.265165i | ||||
\(586\) | −5.51240 | −0.227715 | ||||||||
\(587\) | −17.7914 | + | 6.47553i | −0.734328 | + | 0.267274i | −0.681996 | − | 0.731356i | \(-0.738888\pi\) |
−0.0523324 | + | 0.998630i | \(0.516666\pi\) | |||||||
\(588\) | −3.75490 | + | 11.5283i | −0.154849 | + | 0.475417i | ||||
\(589\) | 35.5734 | − | 29.8497i | 1.46578 | − | 1.22993i | ||||
\(590\) | −1.25931 | − | 7.14191i | −0.0518450 | − | 0.294028i | ||||
\(591\) | 4.03892 | + | 16.8925i | 0.166139 | + | 0.694866i | ||||
\(592\) | 8.43070 | + | 7.07419i | 0.346500 | + | 0.290748i | ||||
\(593\) | −6.46570 | − | 11.1989i | −0.265515 | − | 0.459885i | 0.702184 | − | 0.711996i | \(-0.252209\pi\) |
−0.967698 | + | 0.252111i | \(0.918875\pi\) | |||||||
\(594\) | −11.6490 | − | 1.98282i | −0.477965 | − | 0.0813563i | ||||
\(595\) | −5.54468 | − | 2.67370i | −0.227310 | − | 0.109611i | ||||
\(596\) | 3.10190 | − | 17.5918i | 0.127059 | − | 0.720586i | ||||
\(597\) | 5.20627 | − | 4.93137i | 0.213078 | − | 0.201827i | ||||
\(598\) | −19.3071 | + | 16.2006i | −0.789526 | + | 0.662491i | ||||
\(599\) | −3.73640 | − | 21.1902i | −0.152665 | − | 0.865807i | −0.960889 | − | 0.276933i | \(-0.910682\pi\) |
0.808224 | − | 0.588875i | \(-0.200429\pi\) | |||||||
\(600\) | −0.413642 | + | 0.827708i | −0.0168869 | + | 0.0337910i | ||||
\(601\) | 12.1343 | − | 4.41654i | 0.494970 | − | 0.180154i | −0.0824604 | − | 0.996594i | \(-0.526278\pi\) |
0.577430 | + | 0.816440i | \(0.304056\pi\) | |||||||
\(602\) | 15.2578 | + | 7.35750i | 0.621863 | + | 0.299869i | ||||
\(603\) | 8.40687 | − | 19.7033i | 0.342354 | − | 0.802381i | ||||
\(604\) | −3.13373 | + | 5.42778i | −0.127510 | + | 0.220853i | ||||
\(605\) | −11.5742 | + | 4.21265i | −0.470556 | + | 0.171269i | ||||
\(606\) | −15.3241 | − | 11.3613i | −0.622499 | − | 0.461522i | ||||
\(607\) | −15.8153 | + | 13.2706i | −0.641924 | + | 0.538638i | −0.904608 | − | 0.426244i | \(-0.859837\pi\) |
0.262684 | + | 0.964882i | \(0.415392\pi\) | |||||||
\(608\) | 1.13827 | + | 6.45544i | 0.0461628 | + | 0.261803i | ||||
\(609\) | −10.8697 | − | 20.7013i | −0.440464 | − | 0.838860i | ||||
\(610\) | 2.31239 | + | 1.94033i | 0.0936261 | + | 0.0785616i | ||||
\(611\) | −16.1059 | + | 27.8963i | −0.651576 | + | 1.12856i | ||||
\(612\) | 1.98284 | + | 2.64153i | 0.0801514 | + | 0.106777i | ||||
\(613\) | −2.96631 | − | 5.13780i | −0.119808 | − | 0.207514i | 0.799883 | − | 0.600155i | \(-0.204895\pi\) |
−0.919692 | + | 0.392642i | \(0.871561\pi\) | |||||||
\(614\) | 10.0591 | + | 8.44057i | 0.405951 | + | 0.340633i | ||||
\(615\) | −14.9563 | − | 22.6422i | −0.603095 | − | 0.913022i | ||||
\(616\) | −1.63256 | + | 5.79098i | −0.0657776 | + | 0.233325i | ||||
\(617\) | −26.7010 | − | 9.71835i | −1.07494 | − | 0.391246i | −0.256918 | − | 0.966433i | \(-0.582707\pi\) |
−0.818022 | + | 0.575187i | \(0.804929\pi\) | |||||||
\(618\) | 19.6608 | − | 18.6226i | 0.790872 | − | 0.749112i | ||||
\(619\) | 26.7041 | + | 22.4074i | 1.07333 | + | 0.900629i | 0.995350 | − | 0.0963256i | \(-0.0307090\pi\) |
0.0779784 | + | 0.996955i | \(0.475153\pi\) | |||||||
\(620\) | 7.48542 | − | 12.9651i | 0.300622 | − | 0.520692i | ||||
\(621\) | −18.7358 | + | 22.5995i | −0.751841 | + | 0.906886i | ||||
\(622\) | −6.98116 | −0.279919 | ||||||||
\(623\) | −21.3753 | − | 2.15008i | −0.856385 | − | 0.0861411i | ||||
\(624\) | 5.60991 | − | 5.31370i | 0.224576 | − | 0.212718i | ||||
\(625\) | −3.82781 | − | 21.7086i | −0.153112 | − | 0.868343i | ||||
\(626\) | 1.71402 | + | 9.72070i | 0.0685061 | + | 0.388517i | ||||
\(627\) | −11.5420 | + | 23.0958i | −0.460943 | + | 0.922358i | ||||
\(628\) | 5.28857 | + | 4.43764i | 0.211037 | + | 0.177081i | ||||
\(629\) | 6.05838 | − | 10.4934i | 0.241564 | − | 0.418400i | ||||
\(630\) | −2.58069 | + | 16.5736i | −0.102817 | + | 0.660307i | ||||
\(631\) | 6.04573 | + | 10.4715i | 0.240677 | + | 0.416865i | 0.960907 | − | 0.276870i | \(-0.0892972\pi\) |
−0.720230 | + | 0.693735i | \(0.755964\pi\) | |||||||
\(632\) | 0.994920 | − | 5.64247i | 0.0395758 | − | 0.224445i | ||||
\(633\) | −1.55890 | + | 13.5700i | −0.0619607 | + | 0.539359i | ||||
\(634\) | 22.7437 | + | 8.27804i | 0.903269 | + | 0.328763i | ||||
\(635\) | −30.6188 | + | 25.6923i | −1.21507 | + | 1.01957i | ||||
\(636\) | 6.54502 | + | 4.85250i | 0.259527 | + | 0.192414i | ||||
\(637\) | 0.810796 | − | 31.2178i | 0.0321249 | − | 1.23689i | ||||
\(638\) | −5.80153 | − | 10.0485i | −0.229685 | − | 0.397826i | ||||
\(639\) | −14.6582 | + | 7.43438i | −0.579868 | + | 0.294099i | ||||
\(640\) | 1.05662 | + | 1.83012i | 0.0417665 | + | 0.0723417i | ||||
\(641\) | −7.57696 | + | 42.9711i | −0.299272 | + | 1.69726i | 0.350041 | + | 0.936734i | \(0.386168\pi\) |
−0.649313 | + | 0.760521i | \(0.724944\pi\) | |||||||
\(642\) | 19.3886 | − | 1.16775i | 0.765207 | − | 0.0460873i | ||||
\(643\) | 18.1099 | − | 15.1960i | 0.714183 | − | 0.599271i | −0.211587 | − | 0.977359i | \(-0.567863\pi\) |
0.925769 | + | 0.378089i | \(0.123419\pi\) | |||||||
\(644\) | 10.4312 | + | 10.7056i | 0.411047 | + | 0.421862i | ||||
\(645\) | 22.4630 | + | 6.67660i | 0.884481 | + | 0.262891i | ||||
\(646\) | 6.78168 | − | 2.46833i | 0.266822 | − | 0.0971151i | ||||
\(647\) | 5.83538 | − | 10.1072i | 0.229412 | − | 0.397354i | −0.728222 | − | 0.685342i | \(-0.759653\pi\) |
0.957634 | + | 0.287988i | \(0.0929862\pi\) | |||||||
\(648\) | 5.31713 | − | 7.26141i | 0.208877 | − | 0.285255i | ||||
\(649\) | 3.90206 | + | 6.75856i | 0.153169 | + | 0.265297i | ||||
\(650\) | 0.413854 | − | 2.34709i | 0.0162327 | − | 0.0920603i | ||||
\(651\) | −6.91436 | + | 31.7195i | −0.270995 | + | 1.24319i | ||||
\(652\) | 14.5103 | + | 5.28132i | 0.568267 | + | 0.206832i | ||||
\(653\) | −17.2836 | − | 6.29072i | −0.676360 | − | 0.246175i | −0.0190763 | − | 0.999818i | \(-0.506073\pi\) |
−0.657284 | + | 0.753643i | \(0.728295\pi\) | |||||||
\(654\) | −6.15029 | − | 9.31090i | −0.240496 | − | 0.364085i | ||||
\(655\) | 5.23704 | − | 29.7007i | 0.204628 | − | 1.16050i | ||||
\(656\) | 7.41372 | 0.289457 | ||||||||
\(657\) | −34.9494 | + | 17.7258i | −1.36351 | + | 0.691548i | ||||
\(658\) | 17.2074 | + | 8.29762i | 0.670816 | + | 0.323475i | ||||
\(659\) | 20.4084 | + | 17.1247i | 0.795000 | + | 0.667084i | 0.946978 | − | 0.321300i | \(-0.104120\pi\) |
−0.151977 | + | 0.988384i | \(0.548564\pi\) | |||||||
\(660\) | −0.949969 | + | 8.26934i | −0.0369775 | + | 0.321884i | ||||
\(661\) | −33.4499 | − | 12.1748i | −1.30105 | − | 0.473543i | −0.403711 | − | 0.914887i | \(-0.632280\pi\) |
−0.897338 | + | 0.441344i | \(0.854502\pi\) | |||||||
\(662\) | 23.8033 | + | 8.66370i | 0.925142 | + | 0.336724i | ||||
\(663\) | −6.83388 | − | 5.06665i | −0.265406 | − | 0.196773i | ||||
\(664\) | −0.766870 | − | 0.643480i | −0.0297603 | − | 0.0249719i | ||||
\(665\) | 33.0121 | + | 15.9188i | 1.28015 | + | 0.617305i | ||||
\(666\) | −32.1564 | − | 7.48696i | −1.24603 | − | 0.290114i | ||||
\(667\) | −28.8255 | −1.11613 | ||||||||
\(668\) | −0.0283674 | + | 0.160879i | −0.00109757 | + | 0.00622461i | ||||
\(669\) | 22.1918 | − | 44.4064i | 0.857986 | − | 1.71685i | ||||
\(670\) | −14.1798 | − | 5.16102i | −0.547813 | − | 0.199388i | ||||
\(671\) | −3.05249 | − | 1.11102i | −0.117840 | − | 0.0428903i | ||||
\(672\) | −3.38957 | − | 3.08397i | −0.130755 | − | 0.118967i | ||||
\(673\) | 2.95225 | − | 16.7430i | 0.113801 | − | 0.645397i | −0.873536 | − | 0.486759i | \(-0.838179\pi\) |
0.987337 | − | 0.158637i | \(-0.0507101\pi\) | |||||||
\(674\) | −9.72372 | − | 16.8420i | −0.374544 | − | 0.648729i | ||||
\(675\) | −0.0164744 | − | 2.77588i | −0.000634101 | − | 0.106844i | ||||
\(676\) | −3.45109 | + | 5.97746i | −0.132734 | + | 0.229902i | ||||
\(677\) | −15.4539 | + | 5.62476i | −0.593942 | + | 0.216177i | −0.621462 | − | 0.783444i | \(-0.713461\pi\) |
0.0275205 | + | 0.999621i | \(0.491239\pi\) | |||||||
\(678\) | 5.03673 | + | 21.0658i | 0.193434 | + | 0.809028i | ||||
\(679\) | 1.46472 | + | 1.50326i | 0.0562109 | + | 0.0576897i | ||||
\(680\) | 1.78229 | − | 1.49552i | 0.0683479 | − | 0.0573507i | ||||
\(681\) | 12.2588 | − | 24.5301i | 0.469757 | − | 0.939994i | ||||
\(682\) | −2.79754 | + | 15.8657i | −0.107124 | + | 0.607528i | ||||
\(683\) | −22.4479 | − | 38.8809i | −0.858946 | − | 1.48774i | −0.872935 | − | 0.487836i | \(-0.837786\pi\) |
0.0139894 | − | 0.999902i | \(-0.495547\pi\) | |||||||
\(684\) | −11.8055 | − | 15.7272i | −0.451394 | − | 0.601345i | ||||
\(685\) | −19.5617 | − | 33.8818i | −0.747413 | − | 1.29456i | ||||
\(686\) | −18.4986 | + | 0.894492i | −0.706282 | + | 0.0341519i | ||||
\(687\) | 2.29780 | − | 20.0021i | 0.0876667 | − | 0.763126i | ||||
\(688\) | −4.90452 | + | 4.11538i | −0.186983 | + | 0.156897i | ||||
\(689\) | −19.7200 | − | 7.17750i | −0.751273 | − | 0.273441i | ||||
\(690\) | 16.6112 | + | 12.3156i | 0.632378 | + | 0.468846i | ||||
\(691\) | 7.87985 | − | 44.6889i | 0.299764 | − | 1.70004i | −0.347419 | − | 0.937710i | \(-0.612942\pi\) |
0.647183 | − | 0.762335i | \(-0.275947\pi\) | |||||||
\(692\) | −8.03208 | − | 13.9120i | −0.305334 | − | 0.528854i | ||||
\(693\) | −3.49033 | − | 17.7094i | −0.132587 | − | 0.672725i | ||||
\(694\) | −8.49969 | + | 14.7219i | −0.322644 | + | 0.558836i | ||||
\(695\) | −1.54055 | − | 1.29267i | −0.0584363 | − | 0.0490339i | ||||
\(696\) | 8.82141 | − | 0.531301i | 0.334375 | − | 0.0201389i | ||||
\(697\) | −1.41737 | − | 8.03831i | −0.0536867 | − | 0.304473i | ||||
\(698\) | −3.12520 | − | 17.7239i | −0.118290 | − | 0.670858i | ||||
\(699\) | −0.689342 | − | 2.88314i | −0.0260733 | − | 0.109050i | ||||
\(700\) | −1.40634 | − | 0.141459i | −0.0531546 | − | 0.00534666i | ||||
\(701\) | −24.0239 | −0.907369 | −0.453684 | − | 0.891162i | \(-0.649891\pi\) | ||||
−0.453684 | + | 0.891162i | \(0.649891\pi\) | |||||||
\(702\) | −7.79895 | + | 21.8297i | −0.294352 | + | 0.823908i | ||||
\(703\) | −36.0706 | + | 62.4762i | −1.36043 | + | 2.35633i | ||||
\(704\) | −1.74206 | − | 1.46176i | −0.0656563 | − | 0.0550922i | ||||
\(705\) | 25.3333 | + | 7.52971i | 0.954106 | + | 0.283585i | ||||
\(706\) | 31.4637 | + | 11.4519i | 1.18415 | + | 0.430996i | ||||
\(707\) | 7.90667 | − | 28.0464i | 0.297361 | − | 1.05479i | ||||
\(708\) | −5.93320 | + | 0.357348i | −0.222983 | + | 0.0134300i | ||||
\(709\) | 16.4977 | + | 13.8432i | 0.619586 | + | 0.519894i | 0.897673 | − | 0.440662i | \(-0.145256\pi\) |
−0.278088 | + | 0.960556i | \(0.589701\pi\) | |||||||
\(710\) | 5.78875 | + | 10.0264i | 0.217248 | + | 0.376284i | ||||
\(711\) | 4.99484 | + | 16.4468i | 0.187321 | + | 0.616804i | ||||
\(712\) | 4.05995 | − | 7.03203i | 0.152153 | − | 0.263537i | ||||
\(713\) | 30.6595 | + | 25.7263i | 1.14821 | + | 0.963459i | ||||
\(714\) | −2.69576 | + | 4.26473i | −0.100886 | + | 0.159603i | ||||
\(715\) | −3.72287 | − | 21.1134i | −0.139227 | − | 0.789598i | ||||
\(716\) | 4.02274 | − | 3.37548i | 0.150337 | − | 0.126148i | ||||
\(717\) | −3.05237 | + | 1.32383i | −0.113993 | + | 0.0494394i | ||||
\(718\) | 18.0572 | − | 6.57228i | 0.673888 | − | 0.245275i | ||||
\(719\) | 14.4754 | − | 25.0722i | 0.539842 | − | 0.935034i | −0.459070 | − | 0.888400i | \(-0.651817\pi\) |
0.998912 | − | 0.0466336i | \(-0.0148493\pi\) | |||||||
\(720\) | −5.31049 | − | 3.46274i | −0.197910 | − | 0.129049i | ||||
\(721\) | 37.2602 | + | 17.9673i | 1.38764 | + | 0.669137i | ||||
\(722\) | −22.5228 | + | 8.19764i | −0.838213 | + | 0.305085i | ||||
\(723\) | −26.5986 | + | 1.60200i | −0.989214 | + | 0.0595790i | ||||
\(724\) | −2.81378 | − | 15.9577i | −0.104573 | − | 0.593065i | ||||
\(725\) | 2.08807 | − | 1.75210i | 0.0775489 | − | 0.0650712i | ||||
\(726\) | 2.34755 | + | 9.81848i | 0.0871256 | + | 0.364398i | ||||
\(727\) | −3.65752 | + | 20.7428i | −0.135650 | + | 0.769309i | 0.838755 | + | 0.544509i | \(0.183284\pi\) |
−0.974405 | + | 0.224800i | \(0.927827\pi\) | |||||||
\(728\) | 10.6317 | + | 5.12670i | 0.394035 | + | 0.190008i | ||||
\(729\) | −4.37257 | + | 26.6436i | −0.161947 | + | 0.986799i | ||||
\(730\) | 13.8021 | + | 23.9060i | 0.510839 | + | 0.884799i | ||||
\(731\) | 5.39975 | + | 4.53093i | 0.199717 | + | 0.167582i | ||||
\(732\) | 1.79625 | − | 1.70140i | 0.0663911 | − | 0.0628855i | ||||
\(733\) | 5.20888 | + | 29.5410i | 0.192394 | + | 1.09112i | 0.916081 | + | 0.400993i | \(0.131335\pi\) |
−0.723687 | + | 0.690129i | \(0.757554\pi\) | |||||||
\(734\) | −14.2443 | + | 11.9524i | −0.525768 | + | 0.441172i | ||||
\(735\) | −25.0656 | + | 5.30906i | −0.924557 | + | 0.195828i | ||||
\(736\) | −5.30883 | + | 1.93226i | −0.195686 | + | 0.0712239i | ||||
\(737\) | 16.2385 | 0.598152 | ||||||||
\(738\) | −19.8358 | + | 10.0604i | −0.730165 | + | 0.370327i | ||||
\(739\) | 23.7338 | 0.873063 | 0.436531 | − | 0.899689i | \(-0.356207\pi\) | ||||
0.436531 | + | 0.899689i | \(0.356207\pi\) | |||||||
\(740\) | −4.03857 | + | 22.9039i | −0.148461 | + | 0.841964i | ||||
\(741\) | 40.6878 | + | 30.1660i | 1.49470 | + | 1.10818i | ||||
\(742\) | −3.37700 | + | 11.9788i | −0.123973 | + | 0.439756i | ||||
\(743\) | −3.02135 | − | 17.1349i | −0.110843 | − | 0.628619i | −0.988725 | − | 0.149743i | \(-0.952155\pi\) |
0.877882 | − | 0.478876i | \(-0.158956\pi\) | |||||||
\(744\) | −9.85684 | − | 7.30788i | −0.361369 | − | 0.267920i | ||||
\(745\) | 35.4725 | − | 12.9109i | 1.29961 | − | 0.473020i | ||||
\(746\) | 23.7176 | 0.868365 | ||||||||
\(747\) | 2.92500 | + | 0.681026i | 0.107020 | + | 0.0249174i | ||||
\(748\) | −1.25186 | + | 2.16829i | −0.0457726 | + | 0.0792804i | ||||
\(749\) | 12.1890 | + | 27.0509i | 0.445377 | + | 0.988418i | ||||
\(750\) | −20.2199 | + | 1.21782i | −0.738328 | + | 0.0444684i | ||||
\(751\) | −37.8942 | − | 13.7924i | −1.38278 | − | 0.503290i | −0.459760 | − | 0.888043i | \(-0.652064\pi\) |
−0.923020 | + | 0.384753i | \(0.874287\pi\) | |||||||
\(752\) | −5.53120 | + | 4.64123i | −0.201702 | + | 0.169248i | ||||
\(753\) | 7.09042 | + | 29.6553i | 0.258389 | + | 1.08070i | ||||
\(754\) | −21.3894 | + | 7.78512i | −0.778958 | + | 0.283517i | ||||
\(755\) | −13.2446 | −0.482022 | ||||||||
\(756\) | 13.2539 | + | 3.65168i | 0.482039 | + | 0.132810i | ||||
\(757\) | −22.4182 | −0.814804 | −0.407402 | − | 0.913249i | \(-0.633565\pi\) | ||||
−0.407402 | + | 0.913249i | \(0.633565\pi\) | |||||||
\(758\) | 2.64920 | − | 0.964231i | 0.0962234 | − | 0.0350224i | ||||
\(759\) | −21.3304 | − | 6.33996i | −0.774246 | − | 0.230126i | ||||
\(760\) | −10.6115 | + | 8.90410i | −0.384919 | + | 0.322986i | ||||
\(761\) | 21.8188 | + | 7.94138i | 0.790930 | + | 0.287875i | 0.705723 | − | 0.708488i | \(-0.250623\pi\) |
0.0852073 | + | 0.996363i | \(0.472845\pi\) | |||||||
\(762\) | 18.0562 | + | 27.3351i | 0.654106 | + | 0.990247i | ||||
\(763\) | 9.95727 | − | 13.8346i | 0.360477 | − | 0.500847i | ||||
\(764\) | −2.35537 | + | 4.07962i | −0.0852144 | + | 0.147596i | ||||
\(765\) | −2.73920 | + | 6.41991i | −0.0990361 | + | 0.232112i | ||||
\(766\) | 6.23212 | 0.225176 | ||||||||
\(767\) | 14.3863 | − | 5.23620i | 0.519461 | − | 0.189068i | ||||
\(768\) | 1.58904 | − | 0.689175i | 0.0573394 | − | 0.0248685i | ||||
\(769\) | −5.33742 | − | 30.2700i | −0.192472 | − | 1.09157i | −0.915972 | − | 0.401241i | \(-0.868579\pi\) |
0.723500 | − | 0.690324i | \(-0.242532\pi\) | |||||||
\(770\) | −12.3232 | + | 3.13108i | −0.444096 | + | 0.112836i | ||||
\(771\) | 0.905136 | − | 7.87907i | 0.0325977 | − | 0.283758i | ||||
\(772\) | 1.17376 | − | 6.65672i | 0.0422445 | − | 0.239580i | ||||
\(773\) | 19.2530 | 0.692484 | 0.346242 | − | 0.938145i | \(-0.387458\pi\) | ||||
0.346242 | + | 0.938145i | \(0.387458\pi\) | |||||||
\(774\) | 7.53774 | − | 17.6663i | 0.270938 | − | 0.635002i | ||||
\(775\) | −3.78464 | −0.135948 | ||||||||
\(776\) | −0.745451 | + | 0.271322i | −0.0267601 | + | 0.00973990i | ||||
\(777\) | −6.75983 | − | 49.9784i | −0.242508 | − | 1.79297i | ||||
\(778\) | 18.3065 | − | 15.3610i | 0.656319 | − | 0.550717i | ||||
\(779\) | 8.43880 | + | 47.8588i | 0.302351 | + | 1.71472i | ||||
\(780\) | 15.6522 | + | 4.65225i | 0.560440 | + | 0.166577i | ||||
\(781\) | −9.54398 | − | 8.00835i | −0.341511 | − | 0.286561i | ||||
\(782\) | 3.11000 | + | 5.38667i | 0.111213 | + | 0.192627i | ||||
\(783\) | −22.8811 | + | 13.3921i | −0.817705 | + | 0.478595i | ||||
\(784\) | 2.56412 | − | 6.51347i | 0.0915756 | − | 0.232624i | ||||
\(785\) | −2.53339 | + | 14.3676i | −0.0904207 | + | 0.512801i | ||||
\(786\) | −23.6944 | − | 7.04258i | −0.845150 | − | 0.251200i | ||||
\(787\) | 3.41137 | − | 2.86248i | 0.121602 | − | 0.102036i | −0.579959 | − | 0.814646i | \(-0.696931\pi\) |
0.701561 | + | 0.712609i | \(0.252487\pi\) | |||||||
\(788\) | −1.74131 | − | 9.87546i | −0.0620316 | − | 0.351799i | ||||
\(789\) | −20.3545 | − | 30.8145i | −0.724638 | − | 1.09703i | ||||
\(790\) | 11.3776 | − | 4.14112i | 0.404798 | − | 0.147334i | ||||
\(791\) | −27.3462 | + | 18.6236i | −0.972319 | + | 0.662181i | ||||
\(792\) | 6.64457 | + | 1.54705i | 0.236104 | + | 0.0549721i | ||||
\(793\) | −3.18625 | + | 5.51875i | −0.113147 | + | 0.195976i | ||||
\(794\) | −8.11807 | + | 2.95474i | −0.288100 | + | 0.104860i | ||||
\(795\) | −1.96504 | + | 17.1054i | −0.0696928 | + | 0.606666i | ||||
\(796\) | −3.17157 | + | 2.66127i | −0.112413 | + | 0.0943261i | ||||
\(797\) | 4.49255 | + | 25.4785i | 0.159134 | + | 0.902495i | 0.954908 | + | 0.296901i | \(0.0959532\pi\) |
−0.795774 | + | 0.605594i | \(0.792936\pi\) | |||||||
\(798\) | 16.0501 | − | 25.3915i | 0.568168 | − | 0.898850i | ||||
\(799\) | 6.08971 | + | 5.10987i | 0.215438 | + | 0.180774i | ||||
\(800\) | 0.267114 | − | 0.462656i | 0.00944392 | − | 0.0163573i | ||||
\(801\) | −1.32016 | + | 24.3239i | −0.0466456 | + | 0.859442i | ||||
\(802\) | −2.82013 | − | 4.88461i | −0.0995824 | − | 0.172482i | ||||
\(803\) | −22.7557 | − | 19.0943i | −0.803031 | − | 0.673823i | ||||
\(804\) | −5.52884 | + | 11.0633i | −0.194987 | + | 0.390174i | ||||
\(805\) | −8.57078 | + | 30.4021i | −0.302080 | + | 1.07153i | ||||
\(806\) | 29.6985 | + | 10.8094i | 1.04608 | + | 0.380743i | ||||
\(807\) | −8.92908 | − | 37.3454i | −0.314318 | − | 1.31462i | ||||
\(808\) | 8.43701 | + | 7.07949i | 0.296813 | + | 0.249056i | ||||
\(809\) | 0.236349 | − | 0.409369i | 0.00830960 | − | 0.0143926i | −0.861841 | − | 0.507179i | \(-0.830688\pi\) |
0.870150 | + | 0.492786i | \(0.164022\pi\) | |||||||
\(810\) | 18.9074 | + | 2.05844i | 0.664339 | + | 0.0723261i | ||||
\(811\) | 23.2467 | 0.816302 | 0.408151 | − | 0.912914i | \(-0.366174\pi\) | ||||
0.408151 | + | 0.912914i | \(0.366174\pi\) | |||||||
\(812\) | 5.54575 | + | 12.3076i | 0.194618 | + | 0.431912i | ||||
\(813\) | 33.2993 | + | 9.89741i | 1.16786 | + | 0.347117i | ||||
\(814\) | −4.34599 | − | 24.6473i | −0.152327 | − | 0.863889i | ||||
\(815\) | 5.66642 | + | 32.1359i | 0.198486 | + | 1.12567i | ||||
\(816\) | −1.05103 | − | 1.59115i | −0.0367935 | − | 0.0557015i | ||||
\(817\) | −32.1492 | − | 26.9764i | −1.12476 | − | 0.943785i | ||||
\(818\) | −5.59404 | + | 9.68915i | −0.195591 | + | 0.338773i | ||||
\(819\) | −35.4024 | + | 0.710343i | −1.23706 | + | 0.0248214i | ||||
\(820\) | 7.83347 | + | 13.5680i | 0.273557 | + | 0.473814i | ||||
\(821\) | 6.13769 | − | 34.8085i | 0.214207 | − | 1.21483i | −0.668071 | − | 0.744097i | \(-0.732880\pi\) |
0.882278 | − | 0.470729i | \(-0.156009\pi\) | |||||||
\(822\) | −29.4186 | + | 12.7590i | −1.02609 | + | 0.445022i | ||||
\(823\) | −50.6792 | − | 18.4457i | −1.76657 | − | 0.642977i | −1.00000 | 0.000811243i | \(-0.999742\pi\) | |
−0.766566 | − | 0.642166i | \(-0.778036\pi\) | |||||||
\(824\) | −11.9770 | + | 10.0499i | −0.417239 | + | 0.350105i | ||||
\(825\) | 1.93050 | − | 0.837271i | 0.0672114 | − | 0.0291500i | ||||
\(826\) | −3.73002 | − | 8.27797i | −0.129784 | − | 0.288028i | ||||
\(827\) | −24.2384 | − | 41.9822i | −0.842853 | − | 1.45986i | −0.887472 | − | 0.460861i | \(-0.847541\pi\) |
0.0446191 | − | 0.999004i | \(-0.485793\pi\) | |||||||
\(828\) | 11.5820 | − | 12.3739i | 0.402502 | − | 0.430023i | ||||
\(829\) | −20.2250 | − | 35.0307i | −0.702444 | − | 1.21667i | −0.967606 | − | 0.252464i | \(-0.918759\pi\) |
0.265163 | − | 0.964204i | \(-0.414574\pi\) | |||||||
\(830\) | 0.367355 | − | 2.08337i | 0.0127511 | − | 0.0723150i | ||||
\(831\) | −5.61605 | − | 8.50211i | −0.194819 | − | 0.294935i | ||||
\(832\) | −3.41747 | + | 2.86759i | −0.118479 | + | 0.0994160i | ||||
\(833\) | −7.55243 | − | 1.53488i | −0.261676 | − | 0.0531804i | ||||
\(834\) | −1.19668 | + | 1.13349i | −0.0414377 | + | 0.0392497i | ||||
\(835\) | −0.324402 | + | 0.118073i | −0.0112264 | + | 0.00408607i | ||||
\(836\) | 7.45338 | − | 12.9096i | 0.257781 | − | 0.446489i | ||||
\(837\) | 36.2892 | + | 6.17693i | 1.25434 | + | 0.213506i | ||||
\(838\) | −18.2411 | − | 31.5945i | −0.630128 | − | 1.09141i | ||||
\(839\) | 5.09185 | − | 28.8773i | 0.175790 | − | 0.996955i | −0.761438 | − | 0.648238i | \(-0.775506\pi\) |
0.937228 | − | 0.348717i | \(-0.113383\pi\) | |||||||
\(840\) | 2.06254 | − | 9.46188i | 0.0711644 | − | 0.326466i | ||||
\(841\) | 2.78792 | + | 1.01472i | 0.0961351 | + | 0.0349903i | ||||
\(842\) | −9.04419 | − | 3.29182i | −0.311684 | − | 0.113444i | ||||
\(843\) | 52.5084 | − | 3.16251i | 1.80849 | − | 0.108923i | ||||
\(844\) | 1.36942 | − | 7.76635i | 0.0471373 | − | 0.267329i | ||||
\(845\) | −14.5859 | −0.501771 | ||||||||
\(846\) | 8.50088 | − | 19.9236i | 0.292266 | − | 0.684989i | ||||
\(847\) | −12.7457 | + | 8.68021i | −0.437947 | + | 0.298256i | ||||
\(848\) | −3.60351 | − | 3.02370i | −0.123745 | − | 0.103834i | ||||
\(849\) | 0.247768 | − | 0.107459i | 0.00850339 | − | 0.00368797i | ||||
\(850\) | −0.552701 | − | 0.201167i | −0.0189575 | − | 0.00689996i | ||||
\(851\) | −58.4263 | − | 21.2654i | −2.00283 | − | 0.728969i | ||||
\(852\) | 8.70564 | − | 3.77569i | 0.298250 | − | 0.129353i | ||||
\(853\) | 16.0202 | + | 13.4426i | 0.548522 | + | 0.460265i | 0.874440 | − | 0.485133i | \(-0.161229\pi\) |
−0.325918 | + | 0.945398i | \(0.605673\pi\) | |||||||
\(854\) | 3.40416 | + | 1.64153i | 0.116488 | + | 0.0561718i | ||||
\(855\) | 16.3088 | − | 38.2231i | 0.557748 | − | 1.30720i | ||||
\(856\) | −11.2143 | −0.383297 | ||||||||
\(857\) | −2.07277 | + | 11.7553i | −0.0708044 | + | 0.401552i | 0.928722 | + | 0.370777i | \(0.120909\pi\) |
−0.999526 | + | 0.0307748i | \(0.990203\pi\) | |||||||
\(858\) | −17.5402 | + | 1.05642i | −0.598811 | + | 0.0360655i | ||||
\(859\) | 25.8701 | + | 9.41596i | 0.882678 | + | 0.321268i | 0.743290 | − | 0.668970i | \(-0.233264\pi\) |
0.139388 | + | 0.990238i | \(0.455487\pi\) | |||||||
\(860\) | −12.7138 | − | 4.62746i | −0.433538 | − | 0.157795i | ||||
\(861\) | −25.1293 | − | 22.8637i | −0.856404 | − | 0.779191i | ||||
\(862\) | 3.61803 | − | 20.5188i | 0.123230 | − | 0.698875i | ||||
\(863\) | 11.0269 | + | 19.0992i | 0.375360 | + | 0.650143i | 0.990381 | − | 0.138368i | \(-0.0441857\pi\) |
−0.615021 | + | 0.788511i | \(0.710852\pi\) | |||||||
\(864\) | −3.31634 | + | 4.00024i | −0.112824 | + | 0.136091i | ||||
\(865\) | 16.9737 | − | 29.3993i | 0.577122 | − | 0.999605i | ||||
\(866\) | 5.53238 | − | 2.01362i | 0.187998 | − | 0.0684257i | ||||
\(867\) | 19.8531 | − | 18.8048i | 0.674248 | − | 0.638646i | ||||
\(868\) | 5.08577 | − | 18.0402i | 0.172622 | − | 0.612323i | ||||
\(869\) | −9.98116 | + | 8.37518i | −0.338588 | + | 0.284109i | ||||
\(870\) | 10.2932 | + | 15.5828i | 0.348972 | + | 0.528307i | ||||
\(871\) | 5.53167 | − | 31.3717i | 0.187434 | − | 1.06299i | ||||
\(872\) | 3.22127 | + | 5.57940i | 0.109086 | + | 0.188942i | ||||
\(873\) | 1.62631 | − | 1.73751i | 0.0550422 | − | 0.0588058i | ||||
\(874\) | −18.5164 | − | 32.0714i | −0.626327 | − | 1.08483i | ||||
\(875\) | −12.7116 | − | 28.2108i | −0.429732 | − | 0.953698i | ||||
\(876\) | 20.7568 | − | 9.00237i | 0.701308 | − | 0.304162i | ||||
\(877\) | 2.94708 | − | 2.47289i | 0.0995157 | − | 0.0835036i | −0.591672 | − | 0.806179i | \(-0.701532\pi\) |
0.691188 | + | 0.722675i | \(0.257088\pi\) | |||||||
\(878\) | −10.2865 | − | 3.74397i | −0.347152 | − | 0.126353i | ||||
\(879\) | −8.75940 | + | 3.79901i | −0.295447 | + | 0.128137i | ||||
\(880\) | 0.834502 | − | 4.73270i | 0.0281311 | − | 0.159539i | ||||
\(881\) | −13.5058 | − | 23.3928i | −0.455024 | − | 0.788124i | 0.543666 | − | 0.839302i | \(-0.317036\pi\) |
−0.998690 | + | 0.0511778i | \(0.983702\pi\) | |||||||
\(882\) | 1.97831 | + | 20.9066i | 0.0666133 | + | 0.703962i | ||||
\(883\) | 11.0352 | − | 19.1135i | 0.371363 | − | 0.643220i | −0.618412 | − | 0.785854i | \(-0.712224\pi\) |
0.989776 | + | 0.142634i | \(0.0455571\pi\) | |||||||
\(884\) | 3.76254 | + | 3.15715i | 0.126548 | + | 0.106186i | ||||
\(885\) | −6.92311 | − | 10.4809i | −0.232718 | − | 0.352310i | ||||
\(886\) | 1.65875 | + | 9.40723i | 0.0557267 | + | 0.316042i | ||||
\(887\) | −0.772574 | − | 4.38148i | −0.0259405 | − | 0.147116i | 0.969087 | − | 0.246721i | \(-0.0793531\pi\) |
−0.995027 | + | 0.0996052i | \(0.968242\pi\) | |||||||
\(888\) | 18.2720 | + | 5.43093i | 0.613170 | + | 0.182250i | ||||
\(889\) | −29.2327 | + | 40.6160i | −0.980435 | + | 1.36222i | ||||
\(890\) | 17.1593 | 0.575179 | ||||||||
\(891\) | −19.8772 | + | 4.87743i | −0.665912 | + | 0.163400i | ||||
\(892\) | −14.3306 | + | 24.8214i | −0.479825 | + | 0.831082i | ||||
\(893\) | −36.2571 | − | 30.4233i | −1.21330 | − | 1.01808i | ||||
\(894\) | −7.19476 | − | 30.0917i | −0.240629 | − | 1.00642i | ||||
\(895\) | 10.4280 | + | 3.79549i | 0.348570 | + | 0.126869i | ||||
\(896\) | 1.84638 | + | 1.89496i | 0.0616833 | + | 0.0633062i | ||||
\(897\) | −19.5147 | + | 39.0493i | −0.651575 | + | 1.30382i | ||||
\(898\) | −17.1092 | − | 14.3564i | −0.570943 | − | 0.479078i | ||||
\(899\) | 18.0730 | + | 31.3034i | 0.602770 | + | 1.04403i | ||||
\(900\) | −0.0868569 | + | 1.60033i | −0.00289523 | + | 0.0533444i | ||||
\(901\) | −2.58952 | + | 4.48517i | −0.0862693 | + | 0.149423i | ||||
\(902\) | −12.9151 | − | 10.8371i | −0.430027 | − | 0.360836i | ||||
\(903\) | 29.3159 | + | 1.17601i | 0.975571 | + | 0.0391353i | ||||
\(904\) | −2.17150 | − | 12.3152i | −0.0722230 | − | 0.409597i | ||||
\(905\) | 26.2315 | − | 22.0108i | 0.871963 | − | 0.731664i | ||||
\(906\) | −1.23892 | + | 10.7846i | −0.0411604 | + | 0.358296i | ||||
\(907\) | 5.63998 | − | 2.05278i | 0.187272 | − | 0.0681616i | −0.246682 | − | 0.969097i | \(-0.579340\pi\) |
0.433954 | + | 0.900935i | \(0.357118\pi\) | |||||||
\(908\) | −7.91624 | + | 13.7113i | −0.262710 | + | 0.455026i | ||||
\(909\) | −32.1805 | − | 7.49256i | −1.06736 | − | 0.248513i | ||||
\(910\) | 1.85114 | + | 24.8741i | 0.0613646 | + | 0.824570i | ||||
\(911\) | −51.4444 | + | 18.7242i | −1.70443 | + | 0.620361i | −0.996317 | − | 0.0857407i | \(-0.972674\pi\) |
−0.708110 | + | 0.706102i | \(0.750452\pi\) | |||||||
\(912\) | 6.25768 | + | 9.47346i | 0.207212 | + | 0.313698i | ||||
\(913\) | 0.395318 | + | 2.24196i | 0.0130831 | + | 0.0741981i | ||||
\(914\) | −18.4967 | + | 15.5206i | −0.611816 | + | 0.513375i | ||||
\(915\) | 5.01171 | + | 1.48961i | 0.165682 | + | 0.0492450i | ||||
\(916\) | −2.01851 | + | 11.4475i | −0.0666935 | + | 0.378238i | ||||
\(917\) | −2.80225 | − | 37.6545i | −0.0925386 | − | 1.24346i | ||||
\(918\) | 4.97127 | + | 2.83096i | 0.164076 | + | 0.0934357i | ||||
\(919\) | 1.77414 | + | 3.07290i | 0.0585234 | + | 0.101366i | 0.893803 | − | 0.448460i | \(-0.148027\pi\) |
−0.835279 | + | 0.549826i | \(0.814694\pi\) | |||||||
\(920\) | −9.14566 | − | 7.67412i | −0.301524 | − | 0.253008i | ||||
\(921\) | 21.8013 | + | 6.47990i | 0.718376 | + | 0.213520i | ||||
\(922\) | −2.93414 | − | 16.6404i | −0.0966309 | − | 0.548021i | ||||
\(923\) | −18.7228 | + | 15.7103i | −0.616269 | + | 0.517111i | ||||
\(924\) | 1.39680 | + | 10.3272i | 0.0459515 | + | 0.339740i | ||||
\(925\) | 5.52488 | − | 2.01089i | 0.181657 | − | 0.0661177i | ||||
\(926\) | 21.0596 | 0.692063 | ||||||||
\(927\) | 18.4074 | − | 43.1418i | 0.604579 | − | 1.41696i | ||||
\(928\) | −5.10227 | −0.167490 | ||||||||
\(929\) | −6.92440 | + | 39.2702i | −0.227182 | + | 1.28841i | 0.631287 | + | 0.775549i | \(0.282527\pi\) |
−0.858469 | + | 0.512865i | \(0.828584\pi\) | |||||||
\(930\) | 2.95936 | − | 25.7608i | 0.0970413 | − | 0.844731i | ||||
\(931\) | 44.9659 | + | 9.13843i | 1.47370 | + | 0.299500i | ||||
\(932\) | 0.297198 | + | 1.68550i | 0.00973505 | + | 0.0552102i | ||||
\(933\) | −11.0933 | + | 4.81124i | −0.363179 | + | 0.157513i | ||||
\(934\) | −24.6188 | + | 8.96051i | −0.805552 | + | 0.293197i | ||||
\(935\) | −5.29096 | −0.173033 | ||||||||
\(936\) | 5.25229 | − | 12.3099i | 0.171677 | − | 0.402361i | ||||
\(937\) | −28.3974 | + | 49.1857i | −0.927702 | + | 1.60683i | −0.140545 | + | 0.990074i | \(0.544885\pi\) |
−0.787157 | + | 0.616753i | \(0.788448\pi\) | |||||||
\(938\) | −18.7974 | − | 1.89078i | −0.613758 | − | 0.0617360i | ||||
\(939\) | 9.42291 | + | 14.2653i | 0.307505 | + | 0.465530i | ||||
\(940\) | −14.3384 | − | 5.21874i | −0.467666 | − | 0.170216i | ||||
\(941\) | 0.144954 | − | 0.121631i | 0.00472538 | − | 0.00396506i | −0.640422 | − | 0.768023i | \(-0.721240\pi\) |
0.645147 | + | 0.764058i | \(0.276796\pi\) | |||||||
\(942\) | 11.4620 | + | 3.40682i | 0.373453 | + | 0.111000i | ||||
\(943\) | −39.3582 | + | 14.3252i | −1.28168 | + | 0.466493i | ||||
\(944\) | 3.43174 | 0.111694 | ||||||||
\(945\) | 7.32128 | + | 28.1146i | 0.238161 | + | 0.914567i | ||||
\(946\) | 14.5597 | 0.473376 | ||||||||
\(947\) | 5.27557 | − | 1.92015i | 0.171433 | − | 0.0623966i | −0.254878 | − | 0.966973i | \(-0.582035\pi\) |
0.426311 | + | 0.904577i | \(0.359813\pi\) | |||||||
\(948\) | −2.30769 | − | 9.65177i | −0.0749502 | − | 0.313475i | ||||
\(949\) | −44.6407 | + | 37.4580i | −1.44910 | + | 1.21594i | ||||
\(950\) | 3.29069 | + | 1.19771i | 0.106764 | + | 0.0388590i | ||||
\(951\) | 41.8456 | − | 2.52030i | 1.35694 | − | 0.0817264i | ||||
\(952\) | 1.70161 | − | 2.36422i | 0.0551495 | − | 0.0766248i | ||||
\(953\) | 3.13594 | − | 5.43160i | 0.101583 | − | 0.175947i | −0.810754 | − | 0.585387i | \(-0.800943\pi\) |
0.912337 | + | 0.409440i | \(0.134276\pi\) | |||||||
\(954\) | 13.7445 | + | 3.20013i | 0.444995 | + | 0.103608i | ||||
\(955\) | −9.95492 | −0.322134 | ||||||||
\(956\) | 1.80505 | − | 0.656984i | 0.0583795 | − | 0.0212484i | ||||
\(957\) | −16.1441 | − | 11.9692i | −0.521863 | − | 0.386910i | ||||
\(958\) | −4.52515 | − | 25.6634i | −0.146201 | − | 0.829148i | ||||
\(959\) | −34.1829 | − | 35.0823i | −1.10382 | − | 1.13287i | ||||
\(960\) | 2.94028 | + | 2.17993i | 0.0948970 | + | 0.0703569i | ||||
\(961\) | 3.33187 | − | 18.8960i | 0.107480 | − | 0.609548i | ||||
\(962\) | −49.0975 | −1.58297 | ||||||||
\(963\) | 30.0044 | − | 15.2177i | 0.966879 | − | 0.490385i | ||||
\(964\) | 15.3846 | 0.495503 | ||||||||
\(965\) | 13.4228 | − | 4.88549i | 0.432095 | − | 0.157270i | ||||
\(966\) | 23.9536 | + | 9.82274i | 0.770696 | + | 0.316041i | ||||
\(967\) | 0.593779 | − | 0.498240i | 0.0190946 | − | 0.0160223i | −0.633190 | − | 0.773996i | \(-0.718255\pi\) |
0.652285 | + | 0.757974i | \(0.273811\pi\) | |||||||
\(968\) | −1.01211 | − | 5.73993i | −0.0325303 | − | 0.184488i | ||||
\(969\) | 9.07522 | − | 8.59603i | 0.291538 | − | 0.276144i | ||||
\(970\) | −1.28421 | − | 1.07758i | −0.0412335 | − | 0.0345990i | ||||
\(971\) | 16.7134 | + | 28.9484i | 0.536358 | + | 0.928999i | 0.999096 | + | 0.0425041i | \(0.0135335\pi\) |
−0.462739 | + | 0.886495i | \(0.653133\pi\) | |||||||
\(972\) | 3.44474 | − | 15.2031i | 0.110490 | − | 0.487639i | ||||
\(973\) | −2.26790 | − | 1.09361i | −0.0727055 | − | 0.0350594i | ||||
\(974\) | −1.91768 | + | 10.8757i | −0.0614466 | + | 0.348481i | ||||
\(975\) | −0.959923 | − | 4.01482i | −0.0307421 | − | 0.128577i | ||||
\(976\) | −1.09424 | + | 0.918179i | −0.0350259 | + | 0.0293902i | ||||
\(977\) | −4.27560 | − | 24.2481i | −0.136789 | − | 0.775767i | −0.973597 | − | 0.228272i | \(-0.926693\pi\) |
0.836809 | − | 0.547495i | \(-0.184419\pi\) | |||||||
\(978\) | 26.6971 | − | 1.60793i | 0.853680 | − | 0.0514159i | ||||
\(979\) | −17.3518 | + | 6.31555i | −0.554567 | + | 0.201846i | ||||
\(980\) | 14.6297 | − | 2.18962i | 0.467329 | − | 0.0699448i | ||||
\(981\) | −16.1899 | − | 10.5567i | −0.516903 | − | 0.337050i | ||||
\(982\) | −3.40254 | + | 5.89337i | −0.108579 | + | 0.188065i | ||||
\(983\) | 32.5862 | − | 11.8604i | 1.03934 | − | 0.378288i | 0.234708 | − | 0.972066i | \(-0.424586\pi\) |
0.804629 | + | 0.593778i | \(0.202364\pi\) | |||||||
\(984\) | 11.7807 | − | 5.10935i | 0.375554 | − | 0.162880i | ||||
\(985\) | 16.2333 | − | 13.6214i | 0.517237 | − | 0.434014i | ||||
\(986\) | 0.975463 | + | 5.53213i | 0.0310651 | + | 0.176179i | ||||
\(987\) | 33.0617 | + | 1.32628i | 1.05237 | + | 0.0422160i | ||||
\(988\) | −22.4016 | − | 18.7971i | −0.712689 | − | 0.598017i | ||||
\(989\) | 18.0853 | − | 31.3246i | 0.575078 | − | 0.996065i | ||||
\(990\) | 4.18949 | + | 13.7950i | 0.133151 | + | 0.438433i | ||||
\(991\) | 26.1419 | + | 45.2791i | 0.830425 | + | 1.43834i | 0.897701 | + | 0.440604i | \(0.145236\pi\) |
−0.0672761 | + | 0.997734i | \(0.521431\pi\) | |||||||
\(992\) | 5.42690 | + | 4.55371i | 0.172304 | + | 0.144580i | ||||
\(993\) | 43.7951 | − | 2.63772i | 1.38980 | − | 0.0837054i | ||||
\(994\) | 10.1155 | + | 10.3817i | 0.320845 | + | 0.329286i | ||||
\(995\) | −8.22157 | − | 2.99241i | −0.260641 | − | 0.0948657i | ||||
\(996\) | −1.66205 | − | 0.494006i | −0.0526642 | − | 0.0156532i | ||||
\(997\) | 11.9761 | + | 10.0491i | 0.379287 | + | 0.318259i | 0.812422 | − | 0.583069i | \(-0.198148\pi\) |
−0.433136 | + | 0.901329i | \(0.642593\pi\) | |||||||
\(998\) | 17.3138 | − | 29.9884i | 0.548058 | − | 0.949265i | ||||
\(999\) | −56.2575 | + | 10.2643i | −1.77991 | + | 0.324749i |
(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 | 378.2.w.a.25.3 | yes | 72 | |
7.2 | even | 3 | 378.2.v.b.79.5 | yes | 72 | ||
27.13 | even | 9 | 378.2.v.b.67.5 | ✓ | 72 | ||
189.121 | even | 9 | inner | 378.2.w.a.121.3 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.b.67.5 | ✓ | 72 | 27.13 | even | 9 | ||
378.2.v.b.79.5 | yes | 72 | 7.2 | even | 3 | ||
378.2.w.a.25.3 | yes | 72 | 1.1 | even | 1 | trivial | |
378.2.w.a.121.3 | yes | 72 | 189.121 | even | 9 | inner |