Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(16,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 12, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bg (of order \(15\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 334.6 | ||
Character | \(\chi\) | \(=\) | 429.334 |
Dual form | 429.2.bg.b.289.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.769531 | + | 0.342617i | −0.544140 | + | 0.242267i | −0.660350 | − | 0.750958i | \(-0.729592\pi\) |
0.116210 | + | 0.993225i | \(0.462925\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −0.863470 | + | 0.958981i | −0.431735 | + | 0.479491i | ||||
\(5\) | −0.666110 | + | 0.483957i | −0.297894 | + | 0.216432i | −0.726684 | − | 0.686971i | \(-0.758940\pi\) |
0.428791 | + | 0.903404i | \(0.358940\pi\) | |||||||
\(6\) | −0.769531 | − | 0.342617i | −0.314160 | − | 0.139873i | ||||
\(7\) | 3.51709 | − | 3.90612i | 1.32933 | − | 1.47637i | 0.578973 | − | 0.815347i | \(-0.303454\pi\) |
0.750361 | − | 0.661028i | \(-0.229880\pi\) | |||||||
\(8\) | 0.856508 | − | 2.63606i | 0.302821 | − | 0.931988i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.346780 | − | 0.600641i | 0.109661 | − | 0.189939i | ||||
\(11\) | 3.11370 | + | 1.14232i | 0.938815 | + | 0.344422i | ||||
\(12\) | −1.29044 | −0.372517 | ||||||||
\(13\) | −0.177160 | − | 3.60120i | −0.0491353 | − | 0.998792i | ||||
\(14\) | −1.36820 | + | 4.21089i | −0.365667 | + | 1.12541i | ||||
\(15\) | −0.805365 | − | 0.171186i | −0.207944 | − | 0.0441999i | ||||
\(16\) | −0.0257243 | − | 0.244750i | −0.00643106 | − | 0.0611875i | ||||
\(17\) | 5.47333 | + | 2.43688i | 1.32748 | + | 0.591031i | 0.943212 | − | 0.332191i | \(-0.107788\pi\) |
0.384266 | + | 0.923223i | \(0.374455\pi\) | |||||||
\(18\) | −0.260302 | − | 0.801128i | −0.0613539 | − | 0.188828i | ||||
\(19\) | −0.00808041 | + | 0.00171754i | −0.00185377 | + | 0.000394032i | −0.208838 | − | 0.977950i | \(-0.566968\pi\) |
0.206985 | + | 0.978344i | \(0.433635\pi\) | |||||||
\(20\) | 0.111060 | − | 1.05667i | 0.0248339 | − | 0.236279i | ||||
\(21\) | 5.25620 | 1.14700 | ||||||||
\(22\) | −2.78746 | + | 0.187756i | −0.594289 | + | 0.0400296i | ||||
\(23\) | −2.79306 | + | 4.83773i | −0.582394 | + | 1.00874i | 0.412801 | + | 0.910821i | \(0.364550\pi\) |
−0.995195 | + | 0.0979144i | \(0.968783\pi\) | |||||||
\(24\) | 2.53209 | − | 1.12736i | 0.516861 | − | 0.230121i | ||||
\(25\) | −1.33560 | + | 4.11054i | −0.267119 | + | 0.822109i | ||||
\(26\) | 1.37016 | + | 2.71053i | 0.268711 | + | 0.531579i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 0.708995 | + | 6.74564i | 0.133988 | + | 1.27481i | ||||
\(29\) | −0.127017 | − | 0.0269983i | −0.0235865 | − | 0.00501347i | 0.196103 | − | 0.980583i | \(-0.437171\pi\) |
−0.219690 | + | 0.975570i | \(0.570505\pi\) | |||||||
\(30\) | 0.678404 | − | 0.144199i | 0.123859 | − | 0.0263271i | ||||
\(31\) | −3.58192 | − | 2.60242i | −0.643331 | − | 0.467408i | 0.217662 | − | 0.976024i | \(-0.430157\pi\) |
−0.860993 | + | 0.508617i | \(0.830157\pi\) | |||||||
\(32\) | 2.87537 | + | 4.98029i | 0.508298 | + | 0.880399i | ||||
\(33\) | 1.23456 | + | 3.07829i | 0.214909 | + | 0.535861i | ||||
\(34\) | −5.04681 | −0.865521 | ||||||||
\(35\) | −0.452371 | + | 4.30403i | −0.0764647 | + | 0.727513i | ||||
\(36\) | −0.863470 | − | 0.958981i | −0.143912 | − | 0.159830i | ||||
\(37\) | 11.0759 | + | 2.35425i | 1.82086 | + | 0.387036i | 0.986444 | − | 0.164097i | \(-0.0524711\pi\) |
0.834417 | + | 0.551133i | \(0.185804\pi\) | |||||||
\(38\) | 0.00562966 | − | 0.00409019i | 0.000913252 | − | 0.000663516i | ||||
\(39\) | 2.55767 | − | 2.54133i | 0.409555 | − | 0.406938i | ||||
\(40\) | 0.705212 | + | 2.17042i | 0.111504 | + | 0.343174i | ||||
\(41\) | −5.18688 | − | 5.76061i | −0.810054 | − | 0.899656i | 0.186512 | − | 0.982453i | \(-0.440282\pi\) |
−0.996566 | + | 0.0827964i | \(0.973615\pi\) | |||||||
\(42\) | −4.04481 | + | 1.80087i | −0.624128 | + | 0.277880i | ||||
\(43\) | −1.44781 | − | 2.50767i | −0.220788 | − | 0.382416i | 0.734259 | − | 0.678869i | \(-0.237530\pi\) |
−0.955048 | + | 0.296453i | \(0.904196\pi\) | |||||||
\(44\) | −3.78405 | + | 1.99962i | −0.570467 | + | 0.301454i | ||||
\(45\) | −0.411679 | − | 0.713048i | −0.0613694 | − | 0.106295i | ||||
\(46\) | 0.491859 | − | 4.67973i | 0.0725207 | − | 0.689988i | ||||
\(47\) | −0.510447 | + | 1.57099i | −0.0744564 | + | 0.229153i | −0.981358 | − | 0.192190i | \(-0.938441\pi\) |
0.906901 | + | 0.421343i | \(0.138441\pi\) | |||||||
\(48\) | 0.164672 | − | 0.182887i | 0.0237683 | − | 0.0263974i | ||||
\(49\) | −2.15618 | − | 20.5147i | −0.308026 | − | 2.93067i | ||||
\(50\) | −0.380560 | − | 3.62079i | −0.0538193 | − | 0.512057i | ||||
\(51\) | 1.85142 | + | 5.69807i | 0.259250 | + | 0.797890i | ||||
\(52\) | 3.60645 | + | 2.93963i | 0.500125 | + | 0.407654i | ||||
\(53\) | 4.40780 | + | 3.20246i | 0.605458 | + | 0.439891i | 0.847812 | − | 0.530297i | \(-0.177919\pi\) |
−0.242354 | + | 0.970188i | \(0.577919\pi\) | |||||||
\(54\) | 0.421178 | − | 0.729502i | 0.0573151 | − | 0.0992726i | ||||
\(55\) | −2.62690 | + | 0.745986i | −0.354211 | + | 0.100589i | ||||
\(56\) | −7.28436 | − | 12.6169i | −0.973414 | − | 1.68600i | ||||
\(57\) | −0.00668323 | − | 0.00485565i | −0.000885216 | − | 0.000643147i | ||||
\(58\) | 0.106994 | − | 0.0227422i | 0.0140490 | − | 0.00298620i | ||||
\(59\) | 2.18957 | − | 2.43176i | 0.285058 | − | 0.316589i | −0.583561 | − | 0.812069i | \(-0.698341\pi\) |
0.868619 | + | 0.495480i | \(0.165008\pi\) | |||||||
\(60\) | 0.859573 | − | 0.624516i | 0.110970 | − | 0.0806247i | ||||
\(61\) | 4.46497 | + | 1.98793i | 0.571681 | + | 0.254529i | 0.672155 | − | 0.740411i | \(-0.265369\pi\) |
−0.100473 | + | 0.994940i | \(0.532036\pi\) | |||||||
\(62\) | 3.64803 | + | 0.775412i | 0.463300 | + | 0.0984774i | ||||
\(63\) | 3.51709 | + | 3.90612i | 0.443111 | + | 0.492125i | ||||
\(64\) | −3.52082 | − | 2.55803i | −0.440103 | − | 0.319753i | ||||
\(65\) | 1.86083 | + | 2.31306i | 0.230808 | + | 0.286899i | ||||
\(66\) | −2.00471 | − | 1.94586i | −0.246762 | − | 0.239518i | ||||
\(67\) | 0.836562 | − | 1.44897i | 0.102202 | − | 0.177020i | −0.810389 | − | 0.585892i | \(-0.800744\pi\) |
0.912592 | + | 0.408872i | \(0.134078\pi\) | |||||||
\(68\) | −7.06298 | + | 3.14464i | −0.856513 | + | 0.381344i | ||||
\(69\) | −5.46405 | + | 1.16142i | −0.657795 | + | 0.139819i | ||||
\(70\) | −1.12652 | − | 3.46707i | −0.134645 | − | 0.414394i | ||||
\(71\) | 9.63838 | + | 4.29128i | 1.14387 | + | 0.509282i | 0.889096 | − | 0.457720i | \(-0.151334\pi\) |
0.254769 | + | 0.967002i | \(0.418000\pi\) | |||||||
\(72\) | 2.53209 | + | 1.12736i | 0.298410 | + | 0.132861i | ||||
\(73\) | −2.34562 | − | 7.21907i | −0.274534 | − | 0.844928i | −0.989342 | − | 0.145608i | \(-0.953486\pi\) |
0.714808 | − | 0.699320i | \(-0.246514\pi\) | |||||||
\(74\) | −9.32982 | + | 1.98312i | −1.08457 | + | 0.230532i | ||||
\(75\) | −3.94842 | + | 1.75795i | −0.455924 | + | 0.202991i | ||||
\(76\) | 0.00533010 | − | 0.00923201i | 0.000611405 | − | 0.00105898i | ||||
\(77\) | 15.4132 | − | 8.14484i | 1.75650 | − | 0.928190i | ||||
\(78\) | −1.09750 | + | 2.83193i | −0.124268 | + | 0.320653i | ||||
\(79\) | 1.46533 | + | 1.06463i | 0.164863 | + | 0.119780i | 0.667158 | − | 0.744917i | \(-0.267511\pi\) |
−0.502295 | + | 0.864696i | \(0.667511\pi\) | |||||||
\(80\) | 0.135584 | + | 0.150581i | 0.0151587 | + | 0.0168355i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 5.96514 | + | 2.65585i | 0.658740 | + | 0.293290i | ||||
\(83\) | −8.36299 | + | 6.07606i | −0.917957 | + | 0.666935i | −0.943015 | − | 0.332751i | \(-0.892023\pi\) |
0.0250577 | + | 0.999686i | \(0.492023\pi\) | |||||||
\(84\) | −4.53858 | + | 5.04060i | −0.495199 | + | 0.549975i | ||||
\(85\) | −4.82519 | + | 1.02563i | −0.523365 | + | 0.111245i | ||||
\(86\) | 1.97330 | + | 1.43369i | 0.212787 | + | 0.154599i | ||||
\(87\) | −0.0649274 | − | 0.112458i | −0.00696095 | − | 0.0120567i | ||||
\(88\) | 5.67813 | − | 7.22949i | 0.605291 | − | 0.770666i | ||||
\(89\) | −3.03103 | + | 5.24989i | −0.321288 | + | 0.556488i | −0.980754 | − | 0.195247i | \(-0.937449\pi\) |
0.659466 | + | 0.751735i | \(0.270783\pi\) | |||||||
\(90\) | 0.561102 | + | 0.407664i | 0.0591453 | + | 0.0429716i | ||||
\(91\) | −14.6898 | − | 11.9737i | −1.53991 | − | 1.25519i | ||||
\(92\) | −2.22756 | − | 6.85573i | −0.232239 | − | 0.714759i | ||||
\(93\) | −0.462799 | − | 4.40324i | −0.0479900 | − | 0.456595i | ||||
\(94\) | −0.145445 | − | 1.38382i | −0.0150015 | − | 0.142730i | ||||
\(95\) | 0.00455122 | − | 0.00505465i | 0.000466946 | − | 0.000518596i | ||||
\(96\) | −1.77708 | + | 5.46928i | −0.181372 | + | 0.558206i | ||||
\(97\) | −1.25388 | + | 11.9298i | −0.127312 | + | 1.21129i | 0.725184 | + | 0.688556i | \(0.241755\pi\) |
−0.852495 | + | 0.522735i | \(0.824912\pi\) | |||||||
\(98\) | 8.68793 | + | 15.0479i | 0.877613 | + | 1.52007i | ||||
\(99\) | −1.46153 | + | 2.97723i | −0.146889 | + | 0.299223i | ||||
\(100\) | −2.78869 | − | 4.83015i | −0.278869 | − | 0.483015i | ||||
\(101\) | −4.22315 | + | 1.88027i | −0.420219 | + | 0.187094i | −0.605943 | − | 0.795508i | \(-0.707204\pi\) |
0.185723 | + | 0.982602i | \(0.440537\pi\) | |||||||
\(102\) | −3.37698 | − | 3.75051i | −0.334371 | − | 0.371356i | ||||
\(103\) | −2.66360 | − | 8.19772i | −0.262452 | − | 0.807745i | −0.992269 | − | 0.124103i | \(-0.960395\pi\) |
0.729817 | − | 0.683643i | \(-0.239605\pi\) | |||||||
\(104\) | −9.64471 | − | 2.61745i | −0.945742 | − | 0.256662i | ||||
\(105\) | −3.50121 | + | 2.54378i | −0.341683 | + | 0.248247i | ||||
\(106\) | −4.48915 | − | 0.954199i | −0.436025 | − | 0.0926800i | ||||
\(107\) | −9.36663 | − | 10.4027i | −0.905506 | − | 1.00567i | −0.999949 | − | 0.0101364i | \(-0.996773\pi\) |
0.0944422 | − | 0.995530i | \(-0.469893\pi\) | |||||||
\(108\) | 0.134887 | − | 1.28337i | 0.0129795 | − | 0.123492i | ||||
\(109\) | −1.98684 | −0.190305 | −0.0951526 | − | 0.995463i | \(-0.530334\pi\) | ||||
−0.0951526 | + | 0.995463i | \(0.530334\pi\) | |||||||
\(110\) | 1.76589 | − | 1.47408i | 0.168371 | − | 0.140548i | ||||
\(111\) | 5.66165 | + | 9.80627i | 0.537380 | + | 0.930770i | ||||
\(112\) | −1.04650 | − | 0.760325i | −0.0988847 | − | 0.0718440i | ||||
\(113\) | −5.26846 | + | 1.11985i | −0.495615 | + | 0.105346i | −0.448937 | − | 0.893564i | \(-0.648197\pi\) |
−0.0466788 | + | 0.998910i | \(0.514864\pi\) | |||||||
\(114\) | 0.00680658 | + | 0.00144678i | 0.000637495 | + | 0.000135504i | ||||
\(115\) | −0.480766 | − | 4.57418i | −0.0448317 | − | 0.426545i | ||||
\(116\) | 0.135566 | − | 0.0984948i | 0.0125870 | − | 0.00914502i | ||||
\(117\) | 3.59999 | + | 0.200238i | 0.332819 | + | 0.0185120i | ||||
\(118\) | −0.851777 | + | 2.62150i | −0.0784124 | + | 0.241329i | ||||
\(119\) | 28.7689 | − | 12.8088i | 2.63725 | − | 1.17418i | ||||
\(120\) | −1.14106 | + | 1.97637i | −0.104164 | + | 0.180417i | ||||
\(121\) | 8.39021 | + | 7.11367i | 0.762746 | + | 0.646698i | ||||
\(122\) | −4.11703 | −0.372739 | ||||||||
\(123\) | 0.810270 | − | 7.70920i | 0.0730596 | − | 0.695115i | ||||
\(124\) | 5.58855 | − | 1.18788i | 0.501866 | − | 0.106675i | ||||
\(125\) | −2.37183 | − | 7.29975i | −0.212143 | − | 0.652909i | ||||
\(126\) | −4.04481 | − | 1.80087i | −0.360340 | − | 0.160434i | ||||
\(127\) | −0.377689 | − | 3.59348i | −0.0335145 | − | 0.318869i | −0.998416 | − | 0.0562582i | \(-0.982083\pi\) |
0.964902 | − | 0.262611i | \(-0.0845837\pi\) | |||||||
\(128\) | −7.66434 | − | 1.62911i | −0.677439 | − | 0.143994i | ||||
\(129\) | 0.894793 | − | 2.75389i | 0.0787821 | − | 0.242466i | ||||
\(130\) | −2.22446 | − | 1.14241i | −0.195098 | − | 0.100196i | ||||
\(131\) | −19.3330 | −1.68913 | −0.844565 | − | 0.535453i | \(-0.820141\pi\) | ||||
−0.844565 | + | 0.535453i | \(0.820141\pi\) | |||||||
\(132\) | −4.01803 | − | 1.47409i | −0.349724 | − | 0.128303i | ||||
\(133\) | −0.0217106 | + | 0.0376038i | −0.00188255 | + | 0.00326066i | ||||
\(134\) | −0.147319 | + | 1.40164i | −0.0127264 | + | 0.121084i | ||||
\(135\) | 0.254431 | − | 0.783059i | 0.0218980 | − | 0.0673950i | ||||
\(136\) | 11.1117 | − | 12.3408i | 0.952823 | − | 1.05822i | ||||
\(137\) | −16.7123 | − | 7.44079i | −1.42783 | − | 0.635709i | −0.460136 | − | 0.887849i | \(-0.652199\pi\) |
−0.967691 | + | 0.252139i | \(0.918866\pi\) | |||||||
\(138\) | 3.80683 | − | 2.76583i | 0.324059 | − | 0.235443i | ||||
\(139\) | 6.98449 | − | 7.75706i | 0.592416 | − | 0.657945i | −0.370156 | − | 0.928970i | \(-0.620696\pi\) |
0.962572 | + | 0.271025i | \(0.0873625\pi\) | |||||||
\(140\) | −3.73687 | − | 4.15022i | −0.315823 | − | 0.350757i | ||||
\(141\) | −1.50903 | + | 0.671865i | −0.127083 | + | 0.0565812i | ||||
\(142\) | −8.88730 | −0.745805 | ||||||||
\(143\) | 3.56210 | − | 11.4154i | 0.297877 | − | 0.954604i | ||||
\(144\) | 0.246098 | 0.0205082 | ||||||||
\(145\) | 0.0976735 | − | 0.0434870i | 0.00811134 | − | 0.00361140i | ||||
\(146\) | 4.27840 | + | 4.75165i | 0.354083 | + | 0.393249i | ||||
\(147\) | 13.8026 | − | 15.3294i | 1.13842 | − | 1.26434i | ||||
\(148\) | −11.8214 | + | 8.58872i | −0.971710 | + | 0.705989i | ||||
\(149\) | 1.24736 | + | 0.555362i | 0.102188 | + | 0.0454970i | 0.457194 | − | 0.889367i | \(-0.348855\pi\) |
−0.355006 | + | 0.934864i | \(0.615521\pi\) | |||||||
\(150\) | 2.43613 | − | 2.70559i | 0.198909 | − | 0.220911i | ||||
\(151\) | −5.03245 | + | 15.4883i | −0.409535 | + | 1.26042i | 0.507514 | + | 0.861643i | \(0.330565\pi\) |
−0.917049 | + | 0.398775i | \(0.869435\pi\) | |||||||
\(152\) | −0.00239339 | + | 0.0227715i | −0.000194129 | + | 0.00184702i | ||||
\(153\) | −2.99565 | + | 5.18862i | −0.242184 | + | 0.419475i | ||||
\(154\) | −9.07035 | + | 11.5485i | −0.730910 | + | 0.930606i | ||||
\(155\) | 3.64541 | 0.292806 | ||||||||
\(156\) | 0.228614 | + | 4.64711i | 0.0183037 | + | 0.372067i | ||||
\(157\) | −1.55754 | + | 4.79360i | −0.124305 | + | 0.382571i | −0.993774 | − | 0.111416i | \(-0.964461\pi\) |
0.869469 | + | 0.493988i | \(0.164461\pi\) | |||||||
\(158\) | −1.49238 | − | 0.317214i | −0.118727 | − | 0.0252362i | ||||
\(159\) | 0.569507 | + | 5.41850i | 0.0451648 | + | 0.429715i | ||||
\(160\) | −4.32556 | − | 1.92586i | −0.341966 | − | 0.152253i | ||||
\(161\) | 9.07330 | + | 27.9247i | 0.715076 | + | 2.20078i | ||||
\(162\) | 0.823949 | − | 0.175136i | 0.0647355 | − | 0.0137600i | ||||
\(163\) | −0.620864 | + | 5.90713i | −0.0486298 | + | 0.462682i | 0.942926 | + | 0.333002i | \(0.108062\pi\) |
−0.991556 | + | 0.129680i | \(0.958605\pi\) | |||||||
\(164\) | 10.0030 | 0.781105 | ||||||||
\(165\) | −2.31211 | − | 1.45300i | −0.179998 | − | 0.113116i | ||||
\(166\) | 4.35381 | − | 7.54102i | 0.337921 | − | 0.585297i | ||||
\(167\) | 1.46275 | − | 0.651256i | 0.113191 | − | 0.0503957i | −0.349360 | − | 0.936989i | \(-0.613601\pi\) |
0.462551 | + | 0.886593i | \(0.346934\pi\) | |||||||
\(168\) | 4.50198 | − | 13.8557i | 0.347335 | − | 1.06899i | ||||
\(169\) | −12.9372 | + | 1.27598i | −0.995171 | + | 0.0981519i | ||||
\(170\) | 3.36173 | − | 2.44244i | 0.257833 | − | 0.187327i | ||||
\(171\) | −0.000863502 | − | 0.00821568i | −6.60337e−5 | − | 0.000628268i | ||||
\(172\) | 3.65495 | + | 0.776883i | 0.278687 | + | 0.0592368i | ||||
\(173\) | 1.56886 | − | 0.333471i | 0.119278 | − | 0.0253533i | −0.147886 | − | 0.989004i | \(-0.547247\pi\) |
0.267164 | + | 0.963651i | \(0.413914\pi\) | |||||||
\(174\) | 0.0884935 | + | 0.0642943i | 0.00670868 | + | 0.00487414i | ||||
\(175\) | 11.3589 | + | 19.6741i | 0.858650 | + | 1.48723i | ||||
\(176\) | 0.199485 | − | 0.791462i | 0.0150368 | − | 0.0596587i | ||||
\(177\) | 3.27226 | 0.245958 | ||||||||
\(178\) | 0.533765 | − | 5.07844i | 0.0400074 | − | 0.380645i | ||||
\(179\) | −4.21697 | − | 4.68342i | −0.315191 | − | 0.350055i | 0.564644 | − | 0.825335i | \(-0.309014\pi\) |
−0.879835 | + | 0.475279i | \(0.842347\pi\) | |||||||
\(180\) | 1.03927 | + | 0.220904i | 0.0774628 | + | 0.0164652i | ||||
\(181\) | −14.7211 | + | 10.6955i | −1.09421 | + | 0.794991i | −0.980105 | − | 0.198478i | \(-0.936400\pi\) |
−0.114105 | + | 0.993469i | \(0.536400\pi\) | |||||||
\(182\) | 15.4066 | + | 4.18116i | 1.14202 | + | 0.309928i | ||||
\(183\) | 1.51033 | + | 4.64831i | 0.111647 | + | 0.343613i | ||||
\(184\) | 10.3603 | + | 11.5062i | 0.763769 | + | 0.848251i | ||||
\(185\) | −8.51710 | + | 3.79206i | −0.626190 | + | 0.278798i | ||||
\(186\) | 1.86476 | + | 3.22986i | 0.136731 | + | 0.236825i | ||||
\(187\) | 14.2586 | + | 13.8400i | 1.04269 | + | 1.01208i | ||||
\(188\) | −1.06580 | − | 1.84602i | −0.0777313 | − | 0.134635i | ||||
\(189\) | −0.549423 | + | 5.22741i | −0.0399646 | + | 0.380238i | ||||
\(190\) | −0.00177050 | + | 0.00544903i | −0.000128445 | + | 0.000395314i | ||||
\(191\) | 13.5289 | − | 15.0253i | 0.978915 | − | 1.08719i | −0.0172634 | − | 0.999851i | \(-0.505495\pi\) |
0.996178 | − | 0.0873440i | \(-0.0278379\pi\) | |||||||
\(192\) | −0.454905 | − | 4.32813i | −0.0328300 | − | 0.312356i | ||||
\(193\) | 2.61706 | + | 24.8996i | 0.188380 | + | 1.79231i | 0.525439 | + | 0.850831i | \(0.323901\pi\) |
−0.337059 | + | 0.941484i | \(0.609432\pi\) | |||||||
\(194\) | −3.12247 | − | 9.60997i | −0.224180 | − | 0.689955i | ||||
\(195\) | −0.473795 | + | 2.93061i | −0.0339291 | + | 0.209865i | ||||
\(196\) | 21.5350 | + | 15.6461i | 1.53821 | + | 1.11758i | ||||
\(197\) | 1.41595 | − | 2.45249i | 0.100882 | − | 0.174733i | −0.811166 | − | 0.584816i | \(-0.801167\pi\) |
0.912048 | + | 0.410083i | \(0.134500\pi\) | |||||||
\(198\) | 0.104642 | − | 2.79182i | 0.00743659 | − | 0.198406i | ||||
\(199\) | 1.15386 | + | 1.99855i | 0.0817953 | + | 0.141674i | 0.904021 | − | 0.427488i | \(-0.140601\pi\) |
−0.822226 | + | 0.569161i | \(0.807268\pi\) | |||||||
\(200\) | 9.69170 | + | 7.04143i | 0.685307 | + | 0.497904i | ||||
\(201\) | 1.63656 | − | 0.347862i | 0.115434 | − | 0.0245363i | ||||
\(202\) | 2.60563 | − | 2.89385i | 0.183332 | − | 0.203610i | ||||
\(203\) | −0.552189 | + | 0.401189i | −0.0387561 | + | 0.0281580i | ||||
\(204\) | −7.06298 | − | 3.14464i | −0.494508 | − | 0.220169i | ||||
\(205\) | 6.24292 | + | 1.32697i | 0.436025 | + | 0.0926799i | ||||
\(206\) | 4.85840 | + | 5.39580i | 0.338501 | + | 0.375943i | ||||
\(207\) | −4.51927 | − | 3.28344i | −0.314111 | − | 0.228215i | ||||
\(208\) | −0.876835 | + | 0.135998i | −0.0607976 | + | 0.00942976i | ||||
\(209\) | −0.0271219 | − | 0.00388250i | −0.00187606 | − | 0.000268558i | ||||
\(210\) | 1.82275 | − | 3.15709i | 0.125781 | − | 0.217860i | ||||
\(211\) | 9.89679 | − | 4.40634i | 0.681323 | − | 0.303345i | −0.0367376 | − | 0.999325i | \(-0.511697\pi\) |
0.718061 | + | 0.695980i | \(0.245030\pi\) | |||||||
\(212\) | −6.87710 | + | 1.46177i | −0.472321 | + | 0.100395i | ||||
\(213\) | 3.26029 | + | 10.0341i | 0.223391 | + | 0.687528i | ||||
\(214\) | 10.7721 | + | 4.79603i | 0.736362 | + | 0.327850i | ||||
\(215\) | 2.17800 | + | 0.969710i | 0.148539 | + | 0.0661337i | ||||
\(216\) | 0.856508 | + | 2.63606i | 0.0582780 | + | 0.179361i | ||||
\(217\) | −22.7633 | + | 4.83848i | −1.54527 | + | 0.328458i | ||||
\(218\) | 1.52894 | − | 0.680727i | 0.103553 | − | 0.0461046i | ||||
\(219\) | 3.79529 | − | 6.57364i | 0.256462 | − | 0.444205i | ||||
\(220\) | 1.55286 | − | 3.16328i | 0.104694 | − | 0.213268i | ||||
\(221\) | 7.80604 | − | 20.1423i | 0.525091 | − | 1.35491i | ||||
\(222\) | −7.71661 | − | 5.60645i | −0.517905 | − | 0.376280i | ||||
\(223\) | −5.61135 | − | 6.23204i | −0.375764 | − | 0.417328i | 0.525367 | − | 0.850876i | \(-0.323928\pi\) |
−0.901131 | + | 0.433548i | \(0.857261\pi\) | |||||||
\(224\) | 29.5665 | + | 6.28456i | 1.97550 | + | 0.419905i | ||||
\(225\) | −3.94842 | − | 1.75795i | −0.263228 | − | 0.117197i | ||||
\(226\) | 3.67057 | − | 2.66682i | 0.244162 | − | 0.177394i | ||||
\(227\) | 18.8133 | − | 20.8942i | 1.24868 | − | 1.38680i | 0.357018 | − | 0.934097i | \(-0.383793\pi\) |
0.891662 | − | 0.452702i | \(-0.149540\pi\) | |||||||
\(228\) | 0.0104273 | − | 0.00221638i | 0.000690562 | − | 0.000146783i | ||||
\(229\) | −18.6913 | − | 13.5800i | −1.23515 | − | 0.897392i | −0.237888 | − | 0.971293i | \(-0.576455\pi\) |
−0.997266 | + | 0.0739009i | \(0.976455\pi\) | |||||||
\(230\) | 1.93716 | + | 3.35525i | 0.127732 | + | 0.221239i | ||||
\(231\) | 16.3662 | + | 6.00427i | 1.07682 | + | 0.395052i | ||||
\(232\) | −0.179961 | + | 0.311701i | −0.0118150 | + | 0.0204642i | ||||
\(233\) | −9.15620 | − | 6.65237i | −0.599842 | − | 0.435811i | 0.245981 | − | 0.969275i | \(-0.420890\pi\) |
−0.845823 | + | 0.533464i | \(0.820890\pi\) | |||||||
\(234\) | −2.83890 | + | 1.07933i | −0.185585 | + | 0.0705579i | ||||
\(235\) | −0.420281 | − | 1.29349i | −0.0274161 | − | 0.0843780i | ||||
\(236\) | 0.441386 | + | 4.19951i | 0.0287318 | + | 0.273365i | ||||
\(237\) | 0.189327 | + | 1.80133i | 0.0122981 | + | 0.117009i | ||||
\(238\) | −17.7501 | + | 19.7135i | −1.15057 | + | 1.27783i | ||||
\(239\) | −0.122277 | + | 0.376329i | −0.00790943 | + | 0.0243427i | −0.954933 | − | 0.296820i | \(-0.904074\pi\) |
0.947024 | + | 0.321163i | \(0.104074\pi\) | |||||||
\(240\) | −0.0211803 | + | 0.201517i | −0.00136718 | + | 0.0130078i | ||||
\(241\) | −1.70364 | − | 2.95079i | −0.109741 | − | 0.190077i | 0.805924 | − | 0.592019i | \(-0.201669\pi\) |
−0.915665 | + | 0.401942i | \(0.868335\pi\) | |||||||
\(242\) | −8.89379 | − | 2.59956i | −0.571714 | − | 0.167106i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −5.76176 | + | 2.56530i | −0.368859 | + | 0.164227i | ||||
\(245\) | 11.3645 | + | 12.6215i | 0.726050 | + | 0.806361i | ||||
\(246\) | 2.01778 | + | 6.21008i | 0.128649 | + | 0.395940i | ||||
\(247\) | 0.00761674 | + | 0.0287949i | 0.000484641 | + | 0.00183217i | ||||
\(248\) | −9.92807 | + | 7.21317i | −0.630433 | + | 0.458036i | ||||
\(249\) | −10.1113 | − | 2.14923i | −0.640779 | − | 0.136202i | ||||
\(250\) | 4.32621 | + | 4.80475i | 0.273614 | + | 0.303879i | ||||
\(251\) | −0.137873 | + | 1.31177i | −0.00870246 | + | 0.0827984i | −0.998011 | − | 0.0630387i | \(-0.979921\pi\) |
0.989309 | + | 0.145837i | \(0.0465875\pi\) | |||||||
\(252\) | −6.78280 | −0.427276 | ||||||||
\(253\) | −14.2230 | + | 11.8726i | −0.894191 | + | 0.746427i | ||||
\(254\) | 1.52183 | + | 2.63589i | 0.0954881 | + | 0.165390i | ||||
\(255\) | −3.99087 | − | 2.89954i | −0.249918 | − | 0.181576i | ||||
\(256\) | 14.9699 | − | 3.18194i | 0.935616 | − | 0.198871i | ||||
\(257\) | −6.93739 | − | 1.47459i | −0.432743 | − | 0.0919823i | −0.0136102 | − | 0.999907i | \(-0.504332\pi\) |
−0.419133 | + | 0.907925i | \(0.637666\pi\) | |||||||
\(258\) | 0.254959 | + | 2.42577i | 0.0158731 | + | 0.151022i | ||||
\(259\) | 48.1508 | − | 34.9836i | 2.99194 | − | 2.17377i | ||||
\(260\) | −3.82495 | − | 0.212751i | −0.237213 | − | 0.0131943i | ||||
\(261\) | 0.0401274 | − | 0.123499i | 0.00248382 | − | 0.00764442i | ||||
\(262\) | 14.8773 | − | 6.62381i | 0.919124 | − | 0.409220i | ||||
\(263\) | −11.4151 | + | 19.7715i | −0.703883 | + | 1.21916i | 0.263211 | + | 0.964738i | \(0.415219\pi\) |
−0.967093 | + | 0.254422i | \(0.918115\pi\) | |||||||
\(264\) | 9.17197 | − | 0.617798i | 0.564496 | − | 0.0380228i | ||||
\(265\) | −4.48593 | −0.275569 | ||||||||
\(266\) | 0.00382324 | − | 0.0363757i | 0.000234418 | − | 0.00223034i | ||||
\(267\) | −5.92958 | + | 1.26037i | −0.362885 | + | 0.0771335i | ||||
\(268\) | 0.667186 | + | 2.05339i | 0.0407549 | + | 0.125431i | ||||
\(269\) | 10.7287 | + | 4.77671i | 0.654139 | + | 0.291241i | 0.706845 | − | 0.707369i | \(-0.250118\pi\) |
−0.0527059 | + | 0.998610i | \(0.516785\pi\) | |||||||
\(270\) | 0.0724968 | + | 0.689761i | 0.00441201 | + | 0.0419775i | ||||
\(271\) | 0.309791 | + | 0.0658480i | 0.0188184 | + | 0.00399998i | 0.217311 | − | 0.976102i | \(-0.430271\pi\) |
−0.198493 | + | 0.980102i | \(0.563605\pi\) | |||||||
\(272\) | 0.455630 | − | 1.40228i | 0.0276266 | − | 0.0850260i | ||||
\(273\) | −0.931189 | − | 18.9286i | −0.0563581 | − | 1.14561i | ||||
\(274\) | 15.4100 | 0.930949 | ||||||||
\(275\) | −8.85420 | + | 11.2733i | −0.533928 | + | 0.679806i | ||||
\(276\) | 3.60427 | − | 6.24278i | 0.216952 | − | 0.375771i | ||||
\(277\) | −0.340889 | + | 3.24334i | −0.0204820 | + | 0.194874i | −0.999978 | − | 0.00658881i | \(-0.997903\pi\) |
0.979496 | + | 0.201462i | \(0.0645694\pi\) | |||||||
\(278\) | −2.71708 | + | 8.36230i | −0.162959 | + | 0.501537i | ||||
\(279\) | 2.96257 | − | 3.29027i | 0.177365 | − | 0.196983i | ||||
\(280\) | 10.9582 | + | 4.87891i | 0.654879 | + | 0.291571i | ||||
\(281\) | −12.1535 | + | 8.83007i | −0.725020 | + | 0.526758i | −0.887984 | − | 0.459874i | \(-0.847894\pi\) |
0.162964 | + | 0.986632i | \(0.447894\pi\) | |||||||
\(282\) | 0.931054 | − | 1.03404i | 0.0554435 | − | 0.0615762i | ||||
\(283\) | −10.3905 | − | 11.5398i | −0.617649 | − | 0.685969i | 0.350437 | − | 0.936586i | \(-0.386033\pi\) |
−0.968086 | + | 0.250617i | \(0.919366\pi\) | |||||||
\(284\) | −12.4377 | + | 5.53763i | −0.738043 | + | 0.328598i | ||||
\(285\) | 0.00680170 | 0.000402898 | ||||||||
\(286\) | 1.16997 | + | 10.0049i | 0.0691819 | + | 0.591604i | ||||
\(287\) | −40.7443 | −2.40506 | ||||||||
\(288\) | −5.25356 | + | 2.33904i | −0.309569 | + | 0.137829i | ||||
\(289\) | 12.6437 | + | 14.0423i | 0.743749 | + | 0.826017i | ||||
\(290\) | −0.0602633 | + | 0.0669292i | −0.00353879 | + | 0.00393022i | ||||
\(291\) | −9.70460 | + | 7.05080i | −0.568894 | + | 0.413325i | ||||
\(292\) | 8.94833 | + | 3.98405i | 0.523661 | + | 0.233149i | ||||
\(293\) | 6.91426 | − | 7.67906i | 0.403935 | − | 0.448615i | −0.506517 | − | 0.862230i | \(-0.669067\pi\) |
0.910452 | + | 0.413615i | \(0.135734\pi\) | |||||||
\(294\) | −5.36943 | + | 16.5254i | −0.313152 | + | 0.963782i | ||||
\(295\) | −0.281625 | + | 2.67948i | −0.0163968 | + | 0.156005i | ||||
\(296\) | 15.6925 | − | 27.1802i | 0.912109 | − | 1.57982i | ||||
\(297\) | −3.19047 | + | 0.906029i | −0.185130 | + | 0.0525731i | ||||
\(298\) | −1.15016 | −0.0666270 | ||||||||
\(299\) | 17.9164 | + | 9.20132i | 1.03613 | + | 0.532126i | ||||
\(300\) | 1.72350 | − | 5.30440i | 0.0995065 | − | 0.306249i | ||||
\(301\) | −14.8873 | − | 3.16440i | −0.858091 | − | 0.182393i | ||||
\(302\) | −1.43393 | − | 13.6429i | −0.0825133 | − | 0.785061i | ||||
\(303\) | −4.22315 | − | 1.88027i | −0.242614 | − | 0.108019i | ||||
\(304\) | 0.000628231 | 0.00193350i | 3.60315e−5 | 0.000110894i | ||||||
\(305\) | −3.93624 | + | 0.836674i | −0.225388 | + | 0.0479078i | ||||
\(306\) | 0.527536 | − | 5.01917i | 0.0301572 | − | 0.286927i | ||||
\(307\) | 32.6731 | 1.86475 | 0.932375 | − | 0.361492i | \(-0.117732\pi\) | ||||
0.932375 | + | 0.361492i | \(0.117732\pi\) | |||||||
\(308\) | −5.49808 | + | 21.8138i | −0.313282 | + | 1.24296i | ||||
\(309\) | 4.30980 | − | 7.46479i | 0.245176 | − | 0.424657i | ||||
\(310\) | −2.80525 | + | 1.24898i | −0.159328 | + | 0.0709373i | ||||
\(311\) | −5.29910 | + | 16.3089i | −0.300484 | + | 0.924795i | 0.680840 | + | 0.732433i | \(0.261615\pi\) |
−0.981324 | + | 0.192363i | \(0.938385\pi\) | |||||||
\(312\) | −4.50843 | − | 8.91883i | −0.255240 | − | 0.504930i | ||||
\(313\) | −1.59734 | + | 1.16054i | −0.0902872 | + | 0.0655975i | −0.632013 | − | 0.774958i | \(-0.717771\pi\) |
0.541726 | + | 0.840555i | \(0.317771\pi\) | |||||||
\(314\) | −0.443799 | − | 4.22246i | −0.0250450 | − | 0.238287i | ||||
\(315\) | −4.23316 | − | 0.899787i | −0.238512 | − | 0.0506972i | ||||
\(316\) | −2.28623 | + | 0.485952i | −0.128610 | + | 0.0273370i | ||||
\(317\) | −8.59423 | − | 6.24408i | −0.482700 | − | 0.350702i | 0.319670 | − | 0.947529i | \(-0.396428\pi\) |
−0.802370 | + | 0.596827i | \(0.796428\pi\) | |||||||
\(318\) | −2.29472 | − | 3.97458i | −0.128682 | − | 0.222883i | ||||
\(319\) | −0.364652 | − | 0.229159i | −0.0204166 | − | 0.0128304i | ||||
\(320\) | 3.58323 | 0.200309 | ||||||||
\(321\) | 1.46321 | − | 13.9215i | 0.0816685 | − | 0.777024i | ||||
\(322\) | −16.5497 | − | 18.3803i | −0.922277 | − | 1.02429i | ||||
\(323\) | −0.0484122 | − | 0.0102903i | −0.00269373 | − | 0.000572569i | ||||
\(324\) | 1.04398 | − | 0.758499i | 0.0579992 | − | 0.0421389i | ||||
\(325\) | 15.0395 | + | 4.08152i | 0.834241 | + | 0.226402i | ||||
\(326\) | −1.54611 | − | 4.75843i | −0.0856310 | − | 0.263545i | ||||
\(327\) | −1.32946 | − | 1.47651i | −0.0735192 | − | 0.0816513i | ||||
\(328\) | −19.6279 | + | 8.73892i | −1.08377 | + | 0.482526i | ||||
\(329\) | 4.34121 | + | 7.51919i | 0.239339 | + | 0.414547i | ||||
\(330\) | 2.27707 | + | 0.325962i | 0.125348 | + | 0.0179436i | ||||
\(331\) | −11.3991 | − | 19.7439i | −0.626553 | − | 1.08522i | −0.988238 | − | 0.152921i | \(-0.951132\pi\) |
0.361685 | − | 0.932300i | \(-0.382201\pi\) | |||||||
\(332\) | 1.39436 | − | 13.2664i | 0.0765254 | − | 0.728091i | ||||
\(333\) | −3.49909 | + | 10.7691i | −0.191749 | + | 0.590143i | ||||
\(334\) | −0.902496 | + | 1.00232i | −0.0493824 | + | 0.0548447i | ||||
\(335\) | 0.143996 | + | 1.37003i | 0.00786735 | + | 0.0748528i | ||||
\(336\) | −0.135212 | − | 1.28646i | −0.00737642 | − | 0.0701819i | ||||
\(337\) | 6.06377 | + | 18.6624i | 0.330315 | + | 1.01660i | 0.968984 | + | 0.247123i | \(0.0794851\pi\) |
−0.638670 | + | 0.769481i | \(0.720515\pi\) | |||||||
\(338\) | 9.51842 | − | 5.41442i | 0.517734 | − | 0.294505i | ||||
\(339\) | −4.35750 | − | 3.16591i | −0.236667 | − | 0.171949i | ||||
\(340\) | 3.18285 | − | 5.51286i | 0.172614 | − | 0.298977i | ||||
\(341\) | −8.18021 | − | 12.1948i | −0.442983 | − | 0.660387i | ||||
\(342\) | 0.00347932 | + | 0.00602636i | 0.000188140 | + | 0.000325868i | ||||
\(343\) | −57.9498 | − | 42.1030i | −3.12900 | − | 2.27335i | ||||
\(344\) | −7.85044 | + | 1.66866i | −0.423267 | + | 0.0899682i | ||||
\(345\) | 3.07758 | − | 3.41800i | 0.165692 | − | 0.184019i | ||||
\(346\) | −1.09303 | + | 0.794133i | −0.0587617 | + | 0.0426928i | ||||
\(347\) | −15.6313 | − | 6.95950i | −0.839132 | − | 0.373606i | −0.0582636 | − | 0.998301i | \(-0.518556\pi\) |
−0.780868 | + | 0.624696i | \(0.785223\pi\) | |||||||
\(348\) | 0.163908 | + | 0.0348396i | 0.00878637 | + | 0.00186760i | ||||
\(349\) | −9.43436 | − | 10.4779i | −0.505010 | − | 0.560870i | 0.435696 | − | 0.900094i | \(-0.356502\pi\) |
−0.940706 | + | 0.339224i | \(0.889836\pi\) | |||||||
\(350\) | −15.4817 | − | 11.2481i | −0.827532 | − | 0.601237i | ||||
\(351\) | 2.26006 | + | 2.80930i | 0.120633 | + | 0.149949i | ||||
\(352\) | 3.26395 | + | 18.7917i | 0.173969 | + | 1.00160i | ||||
\(353\) | −3.47566 | + | 6.02003i | −0.184991 | + | 0.320414i | −0.943573 | − | 0.331163i | \(-0.892559\pi\) |
0.758583 | + | 0.651577i | \(0.225892\pi\) | |||||||
\(354\) | −2.51810 | + | 1.12113i | −0.133836 | + | 0.0595875i | ||||
\(355\) | −8.49702 | + | 1.80610i | −0.450975 | + | 0.0958577i | ||||
\(356\) | −2.41735 | − | 7.43982i | −0.128119 | − | 0.394310i | ||||
\(357\) | 28.7689 | + | 12.8088i | 1.52261 | + | 0.677912i | ||||
\(358\) | 4.84971 | + | 2.15923i | 0.256315 | + | 0.114119i | ||||
\(359\) | −4.95742 | − | 15.2574i | −0.261643 | − | 0.805253i | −0.992448 | − | 0.122667i | \(-0.960855\pi\) |
0.730805 | − | 0.682586i | \(-0.239145\pi\) | |||||||
\(360\) | −2.23225 | + | 0.474478i | −0.117650 | + | 0.0250072i | ||||
\(361\) | −17.3573 | + | 7.72797i | −0.913542 | + | 0.406735i | ||||
\(362\) | 7.66387 | − | 13.2742i | 0.402804 | − | 0.697677i | ||||
\(363\) | 0.327657 | + | 10.9951i | 0.0171976 | + | 0.577094i | ||||
\(364\) | 24.1668 | − | 3.74829i | 1.26668 | − | 0.196464i | ||||
\(365\) | 5.05616 | + | 3.67352i | 0.264652 | + | 0.192281i | ||||
\(366\) | −2.75483 | − | 3.05955i | −0.143997 | − | 0.159925i | ||||
\(367\) | 28.0352 | + | 5.95906i | 1.46342 | + | 0.311060i | 0.869689 | − | 0.493600i | \(-0.164319\pi\) |
0.593735 | + | 0.804661i | \(0.297653\pi\) | |||||||
\(368\) | 1.25588 | + | 0.559155i | 0.0654674 | + | 0.0291480i | ||||
\(369\) | 6.27123 | − | 4.55631i | 0.326467 | − | 0.237192i | ||||
\(370\) | 5.25495 | − | 5.83621i | 0.273192 | − | 0.303410i | ||||
\(371\) | 28.0118 | − | 5.95409i | 1.45430 | − | 0.309121i | ||||
\(372\) | 4.62224 | + | 3.35825i | 0.239652 | + | 0.174117i | ||||
\(373\) | −8.21984 | − | 14.2372i | −0.425607 | − | 0.737173i | 0.570870 | − | 0.821041i | \(-0.306606\pi\) |
−0.996477 | + | 0.0838675i | \(0.973273\pi\) | |||||||
\(374\) | −15.7142 | − | 5.76507i | −0.812564 | − | 0.298105i | ||||
\(375\) | 3.83770 | − | 6.64710i | 0.198178 | − | 0.343255i | ||||
\(376\) | 3.70404 | + | 2.69114i | 0.191021 | + | 0.138785i | ||||
\(377\) | −0.0747240 | + | 0.462197i | −0.00384848 | + | 0.0238044i | ||||
\(378\) | −1.36820 | − | 4.21089i | −0.0703727 | − | 0.216585i | ||||
\(379\) | 0.116309 | + | 1.10660i | 0.00597437 | + | 0.0568424i | 0.997103 | − | 0.0760646i | \(-0.0242355\pi\) |
−0.991129 | + | 0.132907i | \(0.957569\pi\) | |||||||
\(380\) | 0.000917463 | 0.00872908i | 4.70649e−5 | 0.000447792i | ||||||
\(381\) | 2.41775 | − | 2.68518i | 0.123865 | − | 0.137566i | ||||
\(382\) | −5.26294 | + | 16.1977i | −0.269276 | + | 0.828745i | ||||
\(383\) | −1.39309 | + | 13.2544i | −0.0711835 | + | 0.677266i | 0.899503 | + | 0.436915i | \(0.143929\pi\) |
−0.970686 | + | 0.240351i | \(0.922738\pi\) | |||||||
\(384\) | −3.91778 | − | 6.78580i | −0.199929 | − | 0.346286i | ||||
\(385\) | −6.32512 | + | 12.8847i | −0.322358 | + | 0.656664i | ||||
\(386\) | −10.5449 | − | 18.2644i | −0.536724 | − | 0.929633i | ||||
\(387\) | 2.64527 | − | 1.17775i | 0.134467 | − | 0.0598685i | ||||
\(388\) | −10.3578 | − | 11.5035i | −0.525837 | − | 0.584002i | ||||
\(389\) | 7.90238 | + | 24.3210i | 0.400667 | + | 1.23312i | 0.924460 | + | 0.381279i | \(0.124516\pi\) |
−0.523793 | + | 0.851845i | \(0.675484\pi\) | |||||||
\(390\) | −0.639476 | − | 2.41752i | −0.0323811 | − | 0.122416i | ||||
\(391\) | −27.0763 | + | 19.6721i | −1.36931 | + | 0.994861i | ||||
\(392\) | −55.9248 | − | 11.8872i | −2.82463 | − | 0.600393i | ||||
\(393\) | −12.9363 | − | 14.3672i | −0.652550 | − | 0.724730i | ||||
\(394\) | −0.249349 | + | 2.37240i | −0.0125620 | + | 0.119520i | ||||
\(395\) | −1.49131 | −0.0750357 | ||||||||
\(396\) | −1.59312 | − | 3.97234i | −0.0800574 | − | 0.199617i | ||||
\(397\) | −3.79840 | − | 6.57902i | −0.190636 | − | 0.330191i | 0.754825 | − | 0.655926i | \(-0.227722\pi\) |
−0.945461 | + | 0.325735i | \(0.894388\pi\) | |||||||
\(398\) | −1.57267 | − | 1.14261i | −0.0788309 | − | 0.0572740i | ||||
\(399\) | −0.0424723 | + | 0.00902776i | −0.00212627 | + | 0.000451953i | ||||
\(400\) | 1.04041 | + | 0.221147i | 0.0520206 | + | 0.0110573i | ||||
\(401\) | −1.95791 | − | 18.6282i | −0.0977732 | − | 0.930250i | −0.927939 | − | 0.372733i | \(-0.878421\pi\) |
0.830165 | − | 0.557517i | \(-0.188246\pi\) | |||||||
\(402\) | −1.14020 | + | 0.828404i | −0.0568680 | + | 0.0413170i | ||||
\(403\) | −8.73724 | + | 13.3602i | −0.435233 | + | 0.665521i | ||||
\(404\) | 1.84343 | − | 5.67348i | 0.0917138 | − | 0.282266i | ||||
\(405\) | 0.752174 | − | 0.334890i | 0.0373758 | − | 0.0166408i | ||||
\(406\) | 0.287472 | − | 0.497917i | 0.0142670 | − | 0.0247112i | ||||
\(407\) | 31.7976 | + | 19.9826i | 1.57615 | + | 0.990500i | ||||
\(408\) | 16.6062 | 0.822130 | ||||||||
\(409\) | −1.40976 | + | 13.4129i | −0.0697079 | + | 0.663227i | 0.902753 | + | 0.430160i | \(0.141543\pi\) |
−0.972461 | + | 0.233067i | \(0.925124\pi\) | |||||||
\(410\) | −5.25876 | + | 1.11778i | −0.259712 | + | 0.0552034i | ||||
\(411\) | −5.65312 | − | 17.3985i | −0.278848 | − | 0.858205i | ||||
\(412\) | 10.1614 | + | 4.52415i | 0.500616 | + | 0.222889i | ||||
\(413\) | −1.79786 | − | 17.1054i | −0.0884667 | − | 0.841704i | ||||
\(414\) | 4.60268 | + | 0.978330i | 0.226209 | + | 0.0480823i | ||||
\(415\) | 2.63011 | − | 8.09466i | 0.129107 | − | 0.397351i | ||||
\(416\) | 17.4256 | − | 11.2371i | 0.854360 | − | 0.550943i | ||||
\(417\) | 10.4382 | 0.511158 | ||||||||
\(418\) | 0.0222014 | − | 0.00630473i | 0.00108590 | − | 0.000308375i | ||||
\(419\) | −14.3151 | + | 24.7944i | −0.699337 | + | 1.21129i | 0.269359 | + | 0.963040i | \(0.413188\pi\) |
−0.968697 | + | 0.248248i | \(0.920145\pi\) | |||||||
\(420\) | 0.583757 | − | 5.55407i | 0.0284844 | − | 0.271011i | ||||
\(421\) | 5.58981 | − | 17.2037i | 0.272431 | − | 0.838456i | −0.717457 | − | 0.696603i | \(-0.754694\pi\) |
0.989888 | − | 0.141853i | \(-0.0453061\pi\) | |||||||
\(422\) | −6.10620 | + | 6.78162i | −0.297245 | + | 0.330124i | ||||
\(423\) | −1.50903 | − | 0.671865i | −0.0733717 | − | 0.0326672i | ||||
\(424\) | 12.2172 | − | 8.87631i | 0.593319 | − | 0.431072i | ||||
\(425\) | −17.3271 | + | 19.2437i | −0.840487 | + | 0.933455i | ||||
\(426\) | −5.94676 | − | 6.60455i | −0.288122 | − | 0.319991i | ||||
\(427\) | 23.4688 | − | 10.4490i | 1.13574 | − | 0.505662i | ||||
\(428\) | 18.0638 | 0.873147 | ||||||||
\(429\) | 10.8668 | − | 4.99124i | 0.524654 | − | 0.240980i | ||||
\(430\) | −2.00828 | −0.0968479 | ||||||||
\(431\) | 18.8532 | − | 8.39398i | 0.908126 | − | 0.404324i | 0.101125 | − | 0.994874i | \(-0.467756\pi\) |
0.807001 | + | 0.590550i | \(0.201089\pi\) | |||||||
\(432\) | 0.164672 | + | 0.182887i | 0.00792278 | + | 0.00879913i | ||||
\(433\) | −17.8730 | + | 19.8499i | −0.858920 | + | 0.953927i | −0.999346 | − | 0.0361639i | \(-0.988486\pi\) |
0.140426 | + | 0.990091i | \(0.455153\pi\) | |||||||
\(434\) | 15.8593 | − | 11.5224i | 0.761270 | − | 0.553095i | ||||
\(435\) | 0.0976735 | + | 0.0434870i | 0.00468309 | + | 0.00208504i | ||||
\(436\) | 1.71558 | − | 1.90535i | 0.0821614 | − | 0.0912495i | ||||
\(437\) | 0.0142601 | − | 0.0438880i | 0.000682152 | − | 0.00209945i | ||||
\(438\) | −0.668352 | + | 6.35895i | −0.0319351 | + | 0.303842i | ||||
\(439\) | −14.3255 | + | 24.8125i | −0.683719 | + | 1.18424i | 0.290119 | + | 0.956991i | \(0.406305\pi\) |
−0.973838 | + | 0.227245i | \(0.927028\pi\) | |||||||
\(440\) | −0.283497 | + | 7.56361i | −0.0135152 | + | 0.360581i | ||||
\(441\) | 20.6277 | 0.982271 | ||||||||
\(442\) | 0.894093 | + | 18.1746i | 0.0425277 | + | 0.864476i | ||||
\(443\) | −0.398085 | + | 1.22518i | −0.0189136 | + | 0.0582100i | −0.960068 | − | 0.279767i | \(-0.909743\pi\) |
0.941154 | + | 0.337977i | \(0.109743\pi\) | |||||||
\(444\) | −14.2927 | − | 3.03801i | −0.678302 | − | 0.144177i | ||||
\(445\) | −0.521726 | − | 4.96390i | −0.0247322 | − | 0.235311i | ||||
\(446\) | 6.45331 | + | 2.87320i | 0.305573 | + | 0.136050i | ||||
\(447\) | 0.421935 | + | 1.29858i | 0.0199568 | + | 0.0614208i | ||||
\(448\) | −22.3750 | + | 4.75595i | −1.05712 | + | 0.224698i | ||||
\(449\) | −2.50127 | + | 23.7980i | −0.118042 | + | 1.12310i | 0.761793 | + | 0.647820i | \(0.224319\pi\) |
−0.879836 | + | 0.475278i | \(0.842348\pi\) | |||||||
\(450\) | 3.64073 | 0.171626 | ||||||||
\(451\) | −9.56990 | − | 23.8619i | −0.450629 | − | 1.12361i | ||||
\(452\) | 3.47525 | − | 6.01931i | 0.163462 | − | 0.283125i | ||||
\(453\) | −14.8774 | + | 6.62385i | −0.699001 | + | 0.311215i | ||||
\(454\) | −7.31866 | + | 22.5245i | −0.343482 | + | 1.05713i | ||||
\(455\) | 15.5798 | + | 0.866577i | 0.730392 | + | 0.0406258i | ||||
\(456\) | −0.0185240 | + | 0.0134585i | −0.000867468 | + | 0.000630252i | ||||
\(457\) | 1.51322 | + | 14.3973i | 0.0707853 | + | 0.673477i | 0.971171 | + | 0.238384i | \(0.0766177\pi\) |
−0.900386 | + | 0.435093i | \(0.856716\pi\) | |||||||
\(458\) | 19.0362 | + | 4.04628i | 0.889505 | + | 0.189070i | ||||
\(459\) | −5.86038 | + | 1.24566i | −0.273539 | + | 0.0581426i | ||||
\(460\) | 4.80168 | + | 3.48863i | 0.223880 | + | 0.162658i | ||||
\(461\) | 17.8294 | + | 30.8814i | 0.830397 | + | 1.43829i | 0.897724 | + | 0.440558i | \(0.145219\pi\) |
−0.0673274 | + | 0.997731i | \(0.521447\pi\) | |||||||
\(462\) | −14.6515 | + | 0.986882i | −0.681648 | + | 0.0459139i | ||||
\(463\) | 21.2668 | 0.988352 | 0.494176 | − | 0.869362i | \(-0.335470\pi\) | ||||
0.494176 | + | 0.869362i | \(0.335470\pi\) | |||||||
\(464\) | −0.00334042 | + | 0.0317820i | −0.000155075 | + | 0.00147544i | ||||
\(465\) | 2.43926 | + | 2.70907i | 0.113118 | + | 0.125630i | ||||
\(466\) | 9.32519 | + | 1.98213i | 0.431981 | + | 0.0918204i | ||||
\(467\) | −21.5508 | + | 15.6575i | −0.997250 | + | 0.724545i | −0.961497 | − | 0.274816i | \(-0.911383\pi\) |
−0.0357536 | + | 0.999361i | \(0.511383\pi\) | |||||||
\(468\) | −3.30051 | + | 3.27942i | −0.152566 | + | 0.151591i | ||||
\(469\) | −2.71758 | − | 8.36385i | −0.125486 | − | 0.386207i | ||||
\(470\) | 0.766591 | + | 0.851385i | 0.0353602 | + | 0.0392715i | ||||
\(471\) | −4.60454 | + | 2.05007i | −0.212166 | + | 0.0944624i | ||||
\(472\) | −4.53489 | − | 7.85467i | −0.208735 | − | 0.361540i | ||||
\(473\) | −1.64346 | − | 9.46199i | −0.0755665 | − | 0.435063i | ||||
\(474\) | −0.762859 | − | 1.32131i | −0.0350393 | − | 0.0606898i | ||||
\(475\) | 0.00373213 | − | 0.0355088i | 0.000171242 | − | 0.00162926i | ||||
\(476\) | −12.5578 | + | 38.6489i | −0.575585 | + | 1.77147i | ||||
\(477\) | −3.64565 | + | 4.04891i | −0.166923 | + | 0.185387i | ||||
\(478\) | −0.0348411 | − | 0.331491i | −0.00159360 | − | 0.0151621i | ||||
\(479\) | −2.78294 | − | 26.4779i | −0.127156 | − | 1.20981i | −0.852987 | − | 0.521933i | \(-0.825211\pi\) |
0.725831 | − | 0.687873i | \(-0.241455\pi\) | |||||||
\(480\) | −1.46317 | − | 4.50317i | −0.0667842 | − | 0.205541i | ||||
\(481\) | 6.51591 | − | 40.3034i | 0.297100 | − | 1.83768i | ||||
\(482\) | 2.32199 | + | 1.68703i | 0.105764 | + | 0.0768420i | ||||
\(483\) | −14.6809 | + | 25.4281i | −0.668004 | + | 1.15702i | ||||
\(484\) | −14.0666 | + | 1.90361i | −0.639390 | + | 0.0865276i | ||||
\(485\) | −4.93831 | − | 8.55340i | −0.224237 | − | 0.388390i | ||||
\(486\) | 0.681480 | + | 0.495124i | 0.0309126 | + | 0.0224593i | ||||
\(487\) | 19.7638 | − | 4.20093i | 0.895584 | − | 0.190362i | 0.262947 | − | 0.964810i | \(-0.415306\pi\) |
0.632637 | + | 0.774448i | \(0.281972\pi\) | |||||||
\(488\) | 9.06460 | − | 10.0673i | 0.410335 | − | 0.455723i | ||||
\(489\) | −4.80529 | + | 3.49125i | −0.217303 | + | 0.157880i | ||||
\(490\) | −13.0697 | − | 5.81899i | −0.590428 | − | 0.262875i | ||||
\(491\) | −37.0835 | − | 7.88234i | −1.67355 | − | 0.355725i | −0.729110 | − | 0.684397i | \(-0.760066\pi\) |
−0.944444 | + | 0.328672i | \(0.893399\pi\) | |||||||
\(492\) | 6.69333 | + | 7.43370i | 0.301759 | + | 0.335137i | ||||
\(493\) | −0.629415 | − | 0.457297i | −0.0283474 | − | 0.0205956i | ||||
\(494\) | −0.0157269 | − | 0.0195489i | −0.000707588 | − | 0.000879547i | ||||
\(495\) | −0.467313 | − | 2.69049i | −0.0210042 | − | 0.120928i | ||||
\(496\) | −0.544799 | + | 0.943620i | −0.0244622 | + | 0.0423698i | ||||
\(497\) | 50.6613 | − | 22.5559i | 2.27247 | − | 1.01177i | ||||
\(498\) | 8.51734 | − | 1.81042i | 0.381671 | − | 0.0811267i | ||||
\(499\) | −5.76827 | − | 17.7529i | −0.258223 | − | 0.794729i | −0.993177 | − | 0.116613i | \(-0.962796\pi\) |
0.734954 | − | 0.678117i | \(-0.237204\pi\) | |||||||
\(500\) | 9.04832 | + | 4.02857i | 0.404653 | + | 0.180163i | ||||
\(501\) | 1.46275 | + | 0.651256i | 0.0653507 | + | 0.0290960i | ||||
\(502\) | −0.343339 | − | 1.05669i | −0.0153240 | − | 0.0471623i | ||||
\(503\) | −20.3336 | + | 4.32205i | −0.906632 | + | 0.192711i | −0.637552 | − | 0.770407i | \(-0.720053\pi\) |
−0.269080 | + | 0.963118i | \(0.586720\pi\) | |||||||
\(504\) | 13.3092 | − | 5.92563i | 0.592838 | − | 0.263949i | ||||
\(505\) | 1.90311 | − | 3.29629i | 0.0846875 | − | 0.146683i | ||||
\(506\) | 6.87725 | − | 14.0094i | 0.305731 | − | 0.622794i | ||||
\(507\) | −9.60493 | − | 8.76044i | −0.426570 | − | 0.389065i | ||||
\(508\) | 3.77220 | + | 2.74066i | 0.167364 | + | 0.121597i | ||||
\(509\) | 3.91559 | + | 4.34870i | 0.173555 | + | 0.192753i | 0.823647 | − | 0.567103i | \(-0.191936\pi\) |
−0.650091 | + | 0.759856i | \(0.725269\pi\) | |||||||
\(510\) | 4.06453 | + | 0.863942i | 0.179980 | + | 0.0382560i | ||||
\(511\) | −36.4483 | − | 16.2278i | −1.61238 | − | 0.717877i | ||||
\(512\) | 2.24864 | − | 1.63374i | 0.0993769 | − | 0.0722016i | ||||
\(513\) | 0.00552764 | − | 0.00613907i | 0.000244051 | − | 0.000271046i | ||||
\(514\) | 5.84376 | − | 1.24213i | 0.257757 | − | 0.0547880i | ||||
\(515\) | 5.74160 | + | 4.17152i | 0.253005 | + | 0.183819i | ||||
\(516\) | 1.86830 | + | 3.23599i | 0.0822473 | + | 0.142457i | ||||
\(517\) | −3.38396 | + | 4.30851i | −0.148826 | + | 0.189488i | ||||
\(518\) | −25.0675 | + | 43.4182i | −1.10140 | + | 1.90769i | ||||
\(519\) | 1.29759 | + | 0.942752i | 0.0569577 | + | 0.0413822i | ||||
\(520\) | 7.69118 | − | 2.92412i | 0.337280 | − | 0.128231i | ||||
\(521\) | −3.92709 | − | 12.0864i | −0.172049 | − | 0.529513i | 0.827437 | − | 0.561558i | \(-0.189798\pi\) |
−0.999486 | + | 0.0320454i | \(0.989798\pi\) | |||||||
\(522\) | 0.0114337 | + | 0.108785i | 0.000500441 | + | 0.00476138i | ||||
\(523\) | −0.265724 | − | 2.52820i | −0.0116193 | − | 0.110550i | 0.987175 | − | 0.159642i | \(-0.0510340\pi\) |
−0.998794 | + | 0.0490917i | \(0.984367\pi\) | |||||||
\(524\) | 16.6935 | − | 18.5400i | 0.729257 | − | 0.809922i | ||||
\(525\) | −7.02017 | + | 21.6059i | −0.306385 | + | 0.942957i | ||||
\(526\) | 2.01020 | − | 19.1257i | 0.0876487 | − | 0.833922i | ||||
\(527\) | −13.2632 | − | 22.9726i | −0.577756 | − | 1.00070i | ||||
\(528\) | 0.721653 | − | 0.381345i | 0.0314059 | − | 0.0165959i | ||||
\(529\) | −4.10240 | − | 7.10556i | −0.178365 | − | 0.308937i | ||||
\(530\) | 3.45206 | − | 1.53696i | 0.149948 | − | 0.0667612i | ||||
\(531\) | 2.18957 | + | 2.43176i | 0.0950192 | + | 0.105530i | ||||
\(532\) | −0.0173149 | − | 0.0532898i | −0.000750696 | − | 0.00231041i | ||||
\(533\) | −19.8262 | + | 19.6995i | −0.858767 | + | 0.853281i | ||||
\(534\) | 4.13117 | − | 3.00147i | 0.178773 | − | 0.129886i | ||||
\(535\) | 11.2737 | + | 2.39629i | 0.487403 | + | 0.103601i | ||||
\(536\) | −3.10304 | − | 3.44628i | −0.134031 | − | 0.148857i | ||||
\(537\) | 0.658756 | − | 6.26764i | 0.0284274 | − | 0.270469i | ||||
\(538\) | −9.89263 | −0.426501 | ||||||||
\(539\) | 16.7206 | − | 66.3395i | 0.720209 | − | 2.85745i | ||||
\(540\) | 0.531245 | + | 0.920144i | 0.0228612 | + | 0.0395967i | ||||
\(541\) | 15.9410 | + | 11.5818i | 0.685359 | + | 0.497943i | 0.875131 | − | 0.483886i | \(-0.160775\pi\) |
−0.189772 | + | 0.981828i | \(0.560775\pi\) | |||||||
\(542\) | −0.260954 | + | 0.0554675i | −0.0112089 | + | 0.00238253i | ||||
\(543\) | −17.7986 | − | 3.78322i | −0.763813 | − | 0.162353i | ||||
\(544\) | 3.60147 | + | 34.2657i | 0.154412 | + | 1.46913i | ||||
\(545\) | 1.32346 | − | 0.961548i | 0.0566907 | − | 0.0411882i | ||||
\(546\) | 7.20185 | + | 14.2471i | 0.308211 | + | 0.609720i | ||||
\(547\) | 2.91256 | − | 8.96395i | 0.124532 | − | 0.383271i | −0.869283 | − | 0.494314i | \(-0.835419\pi\) |
0.993816 | + | 0.111043i | \(0.0354192\pi\) | |||||||
\(548\) | 21.5661 | − | 9.60186i | 0.921260 | − | 0.410171i | ||||
\(549\) | −2.44376 | + | 4.23272i | −0.104297 | + | 0.180648i | ||||
\(550\) | 2.95115 | − | 11.7088i | 0.125837 | − | 0.499263i | ||||
\(551\) | 0.00107272 | 4.56995e−5 | ||||||||
\(552\) | −1.61843 | + | 15.3984i | −0.0688850 | + | 0.655397i | ||||
\(553\) | 9.31226 | − | 1.97938i | 0.395997 | − | 0.0841719i | ||||
\(554\) | −0.848900 | − | 2.61265i | −0.0360663 | − | 0.111001i | ||||
\(555\) | −8.51710 | − | 3.79206i | −0.361531 | − | 0.160964i | ||||
\(556\) | 1.40797 | + | 13.3960i | 0.0597114 | + | 0.568116i | ||||
\(557\) | −18.1449 | − | 3.85681i | −0.768822 | − | 0.163418i | −0.193228 | − | 0.981154i | \(-0.561896\pi\) |
−0.575594 | + | 0.817736i | \(0.695229\pi\) | |||||||
\(558\) | −1.15249 | + | 3.54699i | −0.0487887 | + | 0.150156i | ||||
\(559\) | −8.77413 | + | 5.65809i | −0.371106 | + | 0.239312i | ||||
\(560\) | 1.06505 | 0.0450065 | ||||||||
\(561\) | −0.744273 | + | 19.8570i | −0.0314232 | + | 0.838362i | ||||
\(562\) | 6.32719 | − | 10.9590i | 0.266897 | − | 0.462278i | ||||
\(563\) | 1.41971 | − | 13.5076i | 0.0598335 | − | 0.569278i | −0.923002 | − | 0.384795i | \(-0.874272\pi\) |
0.982836 | − | 0.184483i | \(-0.0590611\pi\) | |||||||
\(564\) | 0.658700 | − | 2.02727i | 0.0277363 | − | 0.0853634i | ||||
\(565\) | 2.96742 | − | 3.29565i | 0.124840 | − | 0.138649i | ||||
\(566\) | 11.9495 | + | 5.32026i | 0.502275 | + | 0.223627i | ||||
\(567\) | −4.25236 | + | 3.08952i | −0.178582 | + | 0.129748i | ||||
\(568\) | 19.5674 | − | 21.7318i | 0.821032 | − | 0.911848i | ||||
\(569\) | 31.0720 | + | 34.5090i | 1.30261 | + | 1.44669i | 0.821702 | + | 0.569918i | \(0.193025\pi\) |
0.480905 | + | 0.876773i | \(0.340308\pi\) | |||||||
\(570\) | −0.00523412 | + | 0.00233038i | −0.000219233 | + | 9.76088e-5i | ||||
\(571\) | 12.4864 | 0.522539 | 0.261269 | − | 0.965266i | \(-0.415859\pi\) | ||||
0.261269 | + | 0.965266i | \(0.415859\pi\) | |||||||
\(572\) | 7.87139 | + | 13.2728i | 0.329119 | + | 0.554966i | ||||
\(573\) | 20.2186 | 0.844643 | ||||||||
\(574\) | 31.3540 | − | 13.9597i | 1.30869 | − | 0.582667i | ||||
\(575\) | −16.1553 | − | 17.9423i | −0.673722 | − | 0.748244i | ||||
\(576\) | 2.91204 | − | 3.23415i | 0.121335 | − | 0.134756i | ||||
\(577\) | −17.1955 | + | 12.4933i | −0.715859 | + | 0.520102i | −0.885059 | − | 0.465480i | \(-0.845882\pi\) |
0.169199 | + | 0.985582i | \(0.445882\pi\) | |||||||
\(578\) | −14.5409 | − | 6.47401i | −0.604820 | − | 0.269283i | ||||
\(579\) | −16.7529 | + | 18.6060i | −0.696226 | + | 0.773237i | ||||
\(580\) | −0.0426349 | + | 0.131217i | −0.00177032 | + | 0.00544848i | ||||
\(581\) | −5.67951 | + | 54.0369i | −0.235626 | + | 2.24183i | ||||
\(582\) | 5.05226 | − | 8.75077i | 0.209423 | − | 0.362731i | ||||
\(583\) | 10.0663 | + | 15.0066i | 0.416905 | + | 0.621510i | ||||
\(584\) | −21.0390 | −0.870598 | ||||||||
\(585\) | −2.49489 | + | 1.60886i | −0.103151 | + | 0.0665182i | ||||
\(586\) | −2.68975 | + | 8.27821i | −0.111113 | + | 0.341970i | ||||
\(587\) | −32.3428 | − | 6.87468i | −1.33493 | − | 0.283749i | −0.515483 | − | 0.856900i | \(-0.672387\pi\) |
−0.819449 | + | 0.573151i | \(0.805721\pi\) | |||||||
\(588\) | 2.78241 | + | 26.4729i | 0.114745 | + | 1.09172i | ||||
\(589\) | 0.0334131 | + | 0.0148765i | 0.00137676 | + | 0.000612975i | ||||
\(590\) | −0.701317 | − | 2.15843i | −0.0288728 | − | 0.0888612i | ||||
\(591\) | 2.77001 | − | 0.588784i | 0.113943 | − | 0.0242193i | ||||
\(592\) | 0.291284 | − | 2.77138i | 0.0119717 | − | 0.113903i | ||||
\(593\) | −18.6997 | −0.767905 | −0.383952 | − | 0.923353i | \(-0.625437\pi\) | ||||
−0.383952 | + | 0.923353i | \(0.625437\pi\) | |||||||
\(594\) | 2.14474 | − | 1.79033i | 0.0879999 | − | 0.0734580i | ||||
\(595\) | −12.9644 | + | 22.4550i | −0.531488 | + | 0.920565i | ||||
\(596\) | −1.60964 | + | 0.716659i | −0.0659335 | + | 0.0293555i | ||||
\(597\) | −0.713127 | + | 2.19478i | −0.0291864 | + | 0.0898264i | ||||
\(598\) | −16.9398 | − | 0.942222i | −0.692718 | − | 0.0385303i | ||||
\(599\) | 24.7896 | − | 18.0107i | 1.01288 | − | 0.735898i | 0.0480661 | − | 0.998844i | \(-0.484694\pi\) |
0.964810 | + | 0.262946i | \(0.0846942\pi\) | |||||||
\(600\) | 1.25221 | + | 11.9140i | 0.0511212 | + | 0.486386i | ||||
\(601\) | 24.6197 | + | 5.23308i | 1.00426 | + | 0.213462i | 0.680555 | − | 0.732697i | \(-0.261739\pi\) |
0.323704 | + | 0.946159i | \(0.395072\pi\) | |||||||
\(602\) | 12.5404 | − | 2.66555i | 0.511110 | − | 0.108640i | ||||
\(603\) | 1.35358 | + | 0.983437i | 0.0551222 | + | 0.0400487i | ||||
\(604\) | −10.5076 | − | 18.1997i | −0.427548 | − | 0.740535i | ||||
\(605\) | −9.03152 | − | 0.677986i | −0.367184 | − | 0.0275640i | ||||
\(606\) | 3.89406 | 0.158185 | ||||||||
\(607\) | −0.205020 | + | 1.95063i | −0.00832149 | + | 0.0791737i | −0.997894 | − | 0.0648588i | \(-0.979340\pi\) |
0.989573 | + | 0.144032i | \(0.0460070\pi\) | |||||||
\(608\) | −0.0317880 | − | 0.0353042i | −0.00128917 | − | 0.00143177i | ||||
\(609\) | −0.667628 | − | 0.141909i | −0.0270537 | − | 0.00575043i | ||||
\(610\) | 2.74240 | − | 1.99247i | 0.111036 | − | 0.0806727i | ||||
\(611\) | 5.74789 | + | 1.55990i | 0.232535 | + | 0.0631069i | ||||
\(612\) | −2.38913 | − | 7.35300i | −0.0965750 | − | 0.297227i | ||||
\(613\) | 6.77731 | + | 7.52696i | 0.273733 | + | 0.304011i | 0.864299 | − | 0.502978i | \(-0.167762\pi\) |
−0.590566 | + | 0.806989i | \(0.701096\pi\) | |||||||
\(614\) | −25.1429 | + | 11.1944i | −1.01469 | + | 0.451767i | ||||
\(615\) | 3.19120 | + | 5.52731i | 0.128681 | + | 0.222883i | ||||
\(616\) | −8.26877 | − | 47.6062i | −0.333158 | − | 1.91811i | ||||
\(617\) | 10.9655 | + | 18.9928i | 0.441454 | + | 0.764621i | 0.997798 | − | 0.0663313i | \(-0.0211294\pi\) |
−0.556343 | + | 0.830952i | \(0.687796\pi\) | |||||||
\(618\) | −0.758957 | + | 7.22099i | −0.0305297 | + | 0.290471i | ||||
\(619\) | 7.67498 | − | 23.6212i | 0.308483 | − | 0.949415i | −0.669871 | − | 0.742478i | \(-0.733651\pi\) |
0.978354 | − | 0.206937i | \(-0.0663495\pi\) | |||||||
\(620\) | −3.14770 | + | 3.49588i | −0.126415 | + | 0.140398i | ||||
\(621\) | −0.583909 | − | 5.55552i | −0.0234315 | − | 0.222935i | ||||
\(622\) | −1.50991 | − | 14.3658i | −0.0605417 | − | 0.576016i | ||||
\(623\) | 9.84633 | + | 30.3039i | 0.394485 | + | 1.21410i | ||||
\(624\) | −0.687784 | − | 0.560615i | −0.0275334 | − | 0.0224426i | ||||
\(625\) | −12.3705 | − | 8.98771i | −0.494821 | − | 0.359508i | ||||
\(626\) | 0.831585 | − | 1.44035i | 0.0332368 | − | 0.0575678i | ||||
\(627\) | −0.0152629 | − | 0.0227534i | −0.000609540 | − | 0.000908684i | ||||
\(628\) | −3.25209 | − | 5.63278i | −0.129772 | − | 0.224773i | ||||
\(629\) | 54.8849 | + | 39.8762i | 2.18840 | + | 1.58997i | ||||
\(630\) | 3.56583 | − | 0.757941i | 0.142066 | − | 0.0301971i | ||||
\(631\) | −20.0978 | + | 22.3209i | −0.800081 | + | 0.888580i | −0.995751 | − | 0.0920895i | \(-0.970645\pi\) |
0.195669 | + | 0.980670i | \(0.437312\pi\) | |||||||
\(632\) | 4.06149 | − | 2.95084i | 0.161557 | − | 0.117378i | ||||
\(633\) | 9.89679 | + | 4.40634i | 0.393362 | + | 0.175136i | ||||
\(634\) | 8.75285 | + | 1.86048i | 0.347620 | + | 0.0738889i | ||||
\(635\) | 1.99067 | + | 2.21086i | 0.0789974 | + | 0.0877355i | ||||
\(636\) | −5.68799 | − | 4.13256i | −0.225543 | − | 0.163867i | ||||
\(637\) | −73.4954 | + | 11.3992i | −2.91199 | + | 0.451653i | ||||
\(638\) | 0.359125 | + | 0.0514087i | 0.0142179 | + | 0.00203529i | ||||
\(639\) | −5.27526 | + | 9.13702i | −0.208686 | + | 0.361455i | ||||
\(640\) | 5.89371 | − | 2.62405i | 0.232970 | − | 0.103725i | ||||
\(641\) | 16.6653 | − | 3.54233i | 0.658241 | − | 0.139913i | 0.133332 | − | 0.991071i | \(-0.457432\pi\) |
0.524910 | + | 0.851158i | \(0.324099\pi\) | |||||||
\(642\) | 3.64377 | + | 11.2144i | 0.143808 | + | 0.442596i | ||||
\(643\) | 26.9116 | + | 11.9818i | 1.06129 | + | 0.472516i | 0.861728 | − | 0.507370i | \(-0.169382\pi\) |
0.199560 | + | 0.979886i | \(0.436049\pi\) | |||||||
\(644\) | −34.6138 | − | 15.4111i | −1.36398 | − | 0.607281i | ||||
\(645\) | 0.736734 | + | 2.26744i | 0.0290089 | + | 0.0892802i | ||||
\(646\) | 0.0407803 | − | 0.00866813i | 0.00160448 | − | 0.000341043i | ||||
\(647\) | 32.9728 | − | 14.6804i | 1.29630 | − | 0.577148i | 0.361512 | − | 0.932367i | \(-0.382260\pi\) |
0.934783 | + | 0.355219i | \(0.115594\pi\) | |||||||
\(648\) | −1.38586 | + | 2.40038i | −0.0544417 | + | 0.0942958i | ||||
\(649\) | 9.59551 | − | 5.07058i | 0.376657 | − | 0.199038i | ||||
\(650\) | −12.9717 | + | 2.01193i | −0.508794 | + | 0.0789144i | ||||
\(651\) | −18.8273 | − | 13.6788i | −0.737900 | − | 0.536116i | ||||
\(652\) | −5.12872 | − | 5.69603i | −0.200856 | − | 0.223074i | ||||
\(653\) | −11.5248 | − | 2.44967i | −0.450999 | − | 0.0958628i | −0.0231883 | − | 0.999731i | \(-0.507382\pi\) |
−0.427811 | + | 0.903868i | \(0.640715\pi\) | |||||||
\(654\) | 1.52894 | + | 0.680727i | 0.0597862 | + | 0.0266185i | ||||
\(655\) | 12.8779 | − | 9.35634i | 0.503181 | − | 0.365582i | ||||
\(656\) | −1.27648 | + | 1.41768i | −0.0498382 | + | 0.0553509i | ||||
\(657\) | 7.42471 | − | 1.57817i | 0.289665 | − | 0.0615703i | ||||
\(658\) | −5.91690 | − | 4.29888i | −0.230665 | − | 0.167588i | ||||
\(659\) | −16.6223 | − | 28.7906i | −0.647512 | − | 1.12152i | −0.983715 | − | 0.179734i | \(-0.942476\pi\) |
0.336204 | − | 0.941789i | \(-0.390857\pi\) | |||||||
\(660\) | 3.38985 | − | 0.962647i | 0.131950 | − | 0.0374710i | ||||
\(661\) | 16.5195 | − | 28.6127i | 0.642536 | − | 1.11290i | −0.342329 | − | 0.939580i | \(-0.611216\pi\) |
0.984865 | − | 0.173325i | \(-0.0554510\pi\) | |||||||
\(662\) | 15.5366 | + | 11.2880i | 0.603846 | + | 0.438720i | ||||
\(663\) | 20.1919 | − | 7.67678i | 0.784188 | − | 0.298141i | ||||
\(664\) | 8.85391 | + | 27.2495i | 0.343598 | + | 1.05749i | ||||
\(665\) | −0.00373701 | − | 0.0355553i | −0.000144915 | − | 0.00137877i | ||||
\(666\) | −0.997019 | − | 9.48601i | −0.0386337 | − | 0.367575i | ||||
\(667\) | 0.485378 | − | 0.539066i | 0.0187939 | − | 0.0208727i | ||||
\(668\) | −0.638495 | + | 1.96509i | −0.0247041 | + | 0.0760315i | ||||
\(669\) | 0.876579 | − | 8.34009i | 0.0338905 | − | 0.322447i | ||||
\(670\) | −0.580206 | − | 1.00495i | −0.0224153 | − | 0.0388244i | ||||
\(671\) | 11.6317 | + | 11.2903i | 0.449037 | + | 0.435855i | ||||
\(672\) | 15.1135 | + | 26.1774i | 0.583017 | + | 1.00982i | ||||
\(673\) | −11.3737 | + | 5.06388i | −0.438422 | + | 0.195198i | −0.614064 | − | 0.789256i | \(-0.710466\pi\) |
0.175642 | + | 0.984454i | \(0.443800\pi\) | |||||||
\(674\) | −11.0603 | − | 12.2837i | −0.426027 | − | 0.473151i | ||||
\(675\) | −1.33560 | − | 4.11054i | −0.0514072 | − | 0.158215i | ||||
\(676\) | 9.94728 | − | 13.5083i | 0.382588 | − | 0.519551i | ||||
\(677\) | −18.6831 | + | 13.5741i | −0.718049 | + | 0.521693i | −0.885760 | − | 0.464143i | \(-0.846362\pi\) |
0.167711 | + | 0.985836i | \(0.446362\pi\) | |||||||
\(678\) | 4.43792 | + | 0.943309i | 0.170437 | + | 0.0362276i | ||||
\(679\) | 42.1894 | + | 46.8560i | 1.61908 | + | 1.79817i | ||||
\(680\) | −1.42920 | + | 13.5980i | −0.0548074 | + | 0.521458i | ||||
\(681\) | 28.1160 | 1.07741 | ||||||||
\(682\) | 10.4731 | + | 6.58161i | 0.401035 | + | 0.252023i | ||||
\(683\) | 23.9923 | + | 41.5559i | 0.918039 | + | 1.59009i | 0.802390 | + | 0.596800i | \(0.203562\pi\) |
0.115649 | + | 0.993290i | \(0.463105\pi\) | |||||||
\(684\) | 0.00862429 | + | 0.00626591i | 0.000329758 | + | 0.000239583i | ||||
\(685\) | 14.7332 | − | 3.13165i | 0.562928 | − | 0.119654i | ||||
\(686\) | 59.0194 | + | 12.5450i | 2.25337 | + | 0.478968i | ||||
\(687\) | −2.41499 | − | 22.9771i | −0.0921377 | − | 0.876632i | ||||
\(688\) | −0.576509 | + | 0.418858i | −0.0219792 | + | 0.0159688i | ||||
\(689\) | 10.7518 | − | 16.4407i | 0.409610 | − | 0.626341i | ||||
\(690\) | −1.19723 | + | 3.68469i | −0.0455777 | + | 0.140274i | ||||
\(691\) | 35.5019 | − | 15.8065i | 1.35056 | − | 0.601307i | 0.401341 | − | 0.915929i | \(-0.368544\pi\) |
0.949217 | + | 0.314622i | \(0.101878\pi\) | |||||||
\(692\) | −1.03487 | + | 1.79245i | −0.0393398 | + | 0.0681386i | ||||
\(693\) | 6.48910 | + | 16.1801i | 0.246501 | + | 0.614632i | ||||
\(694\) | 14.4132 | 0.547118 | ||||||||
\(695\) | −0.898352 | + | 8.54725i | −0.0340764 | + | 0.324216i | ||||
\(696\) | −0.352056 | + | 0.0748318i | −0.0133446 | + | 0.00283649i | ||||
\(697\) | −14.3516 | − | 44.1695i | −0.543604 | − | 1.67304i | ||||
\(698\) | 10.8499 | + | 4.83071i | 0.410676 | + | 0.182845i | ||||
\(699\) | −1.18302 | − | 11.2557i | −0.0447459 | − | 0.425729i | ||||
\(700\) | −28.6752 | − | 6.09510i | −1.08382 | − | 0.230373i | ||||
\(701\) | 14.2182 | − | 43.7592i | 0.537015 | − | 1.65276i | −0.202238 | − | 0.979336i | \(-0.564822\pi\) |
0.739254 | − | 0.673427i | \(-0.235178\pi\) | |||||||
\(702\) | −2.70169 | − | 1.38751i | −0.101969 | − | 0.0523681i | ||||
\(703\) | −0.0935411 | −0.00352797 | ||||||||
\(704\) | −8.04069 | − | 11.9868i | −0.303045 | − | 0.451770i | ||||
\(705\) | 0.680028 | − | 1.17784i | 0.0256113 | − | 0.0443601i | ||||
\(706\) | 0.612066 | − | 5.82342i | 0.0230354 | − | 0.219167i | ||||
\(707\) | −7.50864 | + | 23.1092i | −0.282391 | + | 0.869111i | ||||
\(708\) | −2.82550 | + | 3.13804i | −0.106189 | + | 0.117935i | ||||
\(709\) | 12.3044 | + | 5.47827i | 0.462101 | + | 0.205741i | 0.624563 | − | 0.780974i | \(-0.285277\pi\) |
−0.162462 | + | 0.986715i | \(0.551944\pi\) | |||||||
\(710\) | 5.91992 | − | 4.30107i | 0.222171 | − | 0.161416i | ||||
\(711\) | −1.21196 | + | 1.34602i | −0.0454521 | + | 0.0504797i | ||||
\(712\) | 11.2429 | + | 12.4866i | 0.421347 | + | 0.467953i | ||||
\(713\) | 22.5943 | − | 10.0596i | 0.846163 | − | 0.376736i | ||||
\(714\) | −26.5271 | −0.992751 | ||||||||
\(715\) | 3.15182 | + | 9.32782i | 0.117871 | + | 0.348841i | ||||
\(716\) | 8.13255 | 0.303927 | ||||||||
\(717\) | −0.361486 | + | 0.160944i | −0.0135000 | + | 0.00601057i | ||||
\(718\) | 9.04232 | + | 10.0425i | 0.337456 | + | 0.374783i | ||||
\(719\) | −9.58330 | + | 10.6433i | −0.357397 | + | 0.396929i | −0.894852 | − | 0.446363i | \(-0.852719\pi\) |
0.537455 | + | 0.843292i | \(0.319386\pi\) | |||||||
\(720\) | −0.163928 | + | 0.119101i | −0.00610925 | + | 0.00443863i | ||||
\(721\) | −41.3894 | − | 18.4277i | −1.54142 | − | 0.686285i | ||||
\(722\) | 10.7092 | − | 11.8938i | 0.398557 | − | 0.442642i | ||||
\(723\) | 1.05291 | − | 3.24051i | 0.0391580 | − | 0.120516i | ||||
\(724\) | 2.45445 | − | 23.3525i | 0.0912188 | − | 0.867889i | ||||
\(725\) | 0.280622 | − | 0.486051i | 0.0104220 | − | 0.0180515i | ||||
\(726\) | −4.01926 | − | 8.34882i | −0.149169 | − | 0.309854i | ||||
\(727\) | −11.8168 | −0.438261 | −0.219130 | − | 0.975696i | \(-0.570322\pi\) | ||||
−0.219130 | + | 0.975696i | \(0.570322\pi\) | |||||||
\(728\) | −44.1454 | + | 28.4676i | −1.63614 | + | 1.05508i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −5.14948 | − | 1.09456i | −0.190591 | − | 0.0405113i | ||||
\(731\) | −1.81341 | − | 17.2535i | −0.0670714 | − | 0.638142i | ||||
\(732\) | −5.76176 | − | 2.56530i | −0.212961 | − | 0.0948163i | ||||
\(733\) | 6.52394 | + | 20.0786i | 0.240967 | + | 0.741621i | 0.996274 | + | 0.0862490i | \(0.0274881\pi\) |
−0.755306 | + | 0.655372i | \(0.772512\pi\) | |||||||
\(734\) | −23.6156 | + | 5.01965i | −0.871668 | + | 0.185279i | ||||
\(735\) | −1.77531 | + | 16.8909i | −0.0654832 | + | 0.623031i | ||||
\(736\) | −32.1244 | −1.18412 | ||||||||
\(737\) | 4.25998 | − | 3.55602i | 0.156918 | − | 0.130988i | ||||
\(738\) | −3.26483 | + | 5.65485i | −0.120180 | + | 0.208158i | ||||
\(739\) | 29.9957 | − | 13.3549i | 1.10341 | − | 0.491269i | 0.227516 | − | 0.973774i | \(-0.426940\pi\) |
0.875893 | + | 0.482505i | \(0.160273\pi\) | |||||||
\(740\) | 3.71775 | − | 11.4421i | 0.136667 | − | 0.420619i | ||||
\(741\) | −0.0163022 | + | 0.0249279i | −0.000598875 | + | 0.000915748i | ||||
\(742\) | −19.5160 | + | 14.1792i | −0.716454 | + | 0.520534i | ||||
\(743\) | 3.78103 | + | 35.9741i | 0.138713 | + | 1.31976i | 0.813420 | + | 0.581676i | \(0.197603\pi\) |
−0.674708 | + | 0.738085i | \(0.735730\pi\) | |||||||
\(744\) | −12.0036 | − | 2.55144i | −0.440073 | − | 0.0935405i | ||||
\(745\) | −1.09965 | + | 0.233738i | −0.0402882 | + | 0.00856351i | ||||
\(746\) | 11.2033 | + | 8.13969i | 0.410183 | + | 0.298015i | ||||
\(747\) | −5.16861 | − | 8.95229i | −0.189110 | − | 0.327547i | ||||
\(748\) | −25.5842 | + | 1.72328i | −0.935450 | + | 0.0630093i | ||||
\(749\) | −73.5775 | −2.68846 | ||||||||
\(750\) | −0.675821 | + | 6.43001i | −0.0246775 | + | 0.234791i | ||||
\(751\) | 19.7630 | + | 21.9490i | 0.721161 | + | 0.800930i | 0.986593 | − | 0.163199i | \(-0.0521814\pi\) |
−0.265432 | + | 0.964129i | \(0.585515\pi\) | |||||||
\(752\) | 0.397632 | + | 0.0845193i | 0.0145001 | + | 0.00308210i | ||||
\(753\) | −1.06709 | + | 0.775288i | −0.0388870 | + | 0.0282531i | ||||
\(754\) | −0.100854 | − | 0.381276i | −0.00367289 | − | 0.0138853i | ||||
\(755\) | −4.14350 | − | 12.7524i | −0.150798 | − | 0.464107i | ||||
\(756\) | −4.53858 | − | 5.04060i | −0.165066 | − | 0.183325i | ||||
\(757\) | −0.790783 | + | 0.352079i | −0.0287415 | + | 0.0127965i | −0.421057 | − | 0.907034i | \(-0.638341\pi\) |
0.392316 | + | 0.919831i | \(0.371674\pi\) | |||||||
\(758\) | −0.468644 | − | 0.811715i | −0.0170219 | − | 0.0294828i | ||||
\(759\) | −18.3401 | − | 2.62539i | −0.665704 | − | 0.0952955i | ||||
\(760\) | −0.00942620 | − | 0.0163267i | −0.000341924 | − | 0.000592230i | ||||
\(761\) | 0.759575 | − | 7.22688i | 0.0275346 | − | 0.261974i | −0.972091 | − | 0.234605i | \(-0.924620\pi\) |
0.999625 | − | 0.0273692i | \(-0.00871297\pi\) | |||||||
\(762\) | −0.940542 | + | 2.89469i | −0.0340723 | + | 0.104864i | ||||
\(763\) | −6.98790 | + | 7.76085i | −0.252979 | + | 0.280962i | ||||
\(764\) | 2.72723 | + | 25.9479i | 0.0986677 | + | 0.938761i | ||||
\(765\) | −0.515638 | − | 4.90596i | −0.0186429 | − | 0.177375i | ||||
\(766\) | −3.46915 | − | 10.6769i | −0.125345 | − | 0.385773i | ||||
\(767\) | −9.14516 | − | 7.45426i | −0.330213 | − | 0.269158i | ||||
\(768\) | 12.3814 | + | 8.99563i | 0.446776 | + | 0.324602i | ||||
\(769\) | 10.8202 | − | 18.7411i | 0.390185 | − | 0.675820i | −0.602289 | − | 0.798278i | \(-0.705744\pi\) |
0.992474 | + | 0.122458i | \(0.0390777\pi\) | |||||||
\(770\) | 0.452863 | − | 12.0823i | 0.0163201 | − | 0.435414i | ||||
\(771\) | −3.54619 | − | 6.14218i | −0.127713 | − | 0.221205i | ||||
\(772\) | −26.1380 | − | 18.9904i | −0.940728 | − | 0.683479i | ||||
\(773\) | 35.3428 | − | 7.51234i | 1.27119 | − | 0.270200i | 0.477560 | − | 0.878599i | \(-0.341521\pi\) |
0.793631 | + | 0.608399i | \(0.208188\pi\) | |||||||
\(774\) | −1.63210 | + | 1.81263i | −0.0586646 | + | 0.0651537i | ||||
\(775\) | 15.4813 | − | 11.2479i | 0.556106 | − | 0.404035i | ||||
\(776\) | 30.3738 | + | 13.5233i | 1.09036 | + | 0.485458i | ||||
\(777\) | 58.2170 | + | 12.3744i | 2.08852 | + | 0.443929i | ||||
\(778\) | −14.4139 | − | 16.0083i | −0.516764 | − | 0.573925i | ||||
\(779\) | 0.0518062 | + | 0.0376394i | 0.00185615 | + | 0.00134857i | ||||
\(780\) | −2.40129 | − | 2.98485i | −0.0859799 | − | 0.106875i | ||||
\(781\) | 25.1090 | + | 24.3719i | 0.898470 | + | 0.872094i | ||||
\(782\) | 14.0961 | − | 24.4151i | 0.504074 | − | 0.873082i | ||||
\(783\) | 0.118628 | − | 0.0528167i | 0.00423943 | − | 0.00188752i | ||||
\(784\) | −4.96550 | + | 1.05545i | −0.177339 | + | 0.0376946i | ||||
\(785\) | −1.28241 | − | 3.94685i | −0.0457712 | − | 0.140869i | ||||
\(786\) | 14.8773 | + | 6.62381i | 0.530656 | + | 0.236263i | ||||
\(787\) | −12.5540 | − | 5.58939i | −0.447501 | − | 0.199240i | 0.170598 | − | 0.985341i | \(-0.445430\pi\) |
−0.618099 | + | 0.786100i | \(0.712097\pi\) | |||||||
\(788\) | 1.12927 | + | 3.47552i | 0.0402284 | + | 0.123810i | ||||
\(789\) | −22.3312 | + | 4.74665i | −0.795013 | + | 0.168985i | ||||
\(790\) | 1.14761 | − | 0.510947i | 0.0408300 | − | 0.0181787i | ||||
\(791\) | −14.1554 | + | 24.5179i | −0.503308 | + | 0.871755i | ||||
\(792\) | 6.59636 | + | 6.40271i | 0.234391 | + | 0.227511i | ||||
\(793\) | 6.36793 | − | 16.4314i | 0.226132 | − | 0.583497i | ||||
\(794\) | 5.17707 | + | 3.76136i | 0.183727 | + | 0.133486i | ||||
\(795\) | −3.00168 | − | 3.33370i | −0.106458 | − | 0.118234i | ||||
\(796\) | −2.91290 | − | 0.619156i | −0.103245 | − | 0.0219454i | ||||
\(797\) | −17.4562 | − | 7.77200i | −0.618330 | − | 0.275298i | 0.0735715 | − | 0.997290i | \(-0.476560\pi\) |
−0.691902 | + | 0.721991i | \(0.743227\pi\) | |||||||
\(798\) | 0.0295907 | − | 0.0214989i | 0.00104750 | − | 0.000761052i | ||||
\(799\) | −6.62218 | + | 7.35467i | −0.234276 | + | 0.260190i | ||||
\(800\) | −24.3120 | + | 5.16768i | −0.859560 | + | 0.182705i | ||||
\(801\) | −4.90431 | − | 3.56319i | −0.173285 | − | 0.125899i | ||||
\(802\) | 7.88902 | + | 13.6642i | 0.278571 | + | 0.482499i | ||||
\(803\) | 0.942944 | − | 25.1574i | 0.0332758 | − | 0.887787i | ||||
\(804\) | −1.07953 | + | 1.86980i | −0.0380721 | + | 0.0659427i | ||||
\(805\) | −19.5582 | − | 14.2099i | −0.689336 | − | 0.500832i | ||||
\(806\) | 2.14613 | − | 13.2746i | 0.0755941 | − | 0.467579i | ||||
\(807\) | 3.62909 | + | 11.1692i | 0.127750 | + | 0.393175i | ||||
\(808\) | 1.33934 | + | 12.7430i | 0.0471178 | + | 0.448296i | ||||
\(809\) | 4.68624 | + | 44.5866i | 0.164759 | + | 1.56758i | 0.694545 | + | 0.719449i | \(0.255606\pi\) |
−0.529786 | + | 0.848131i | \(0.677728\pi\) | |||||||
\(810\) | −0.464082 | + | 0.515416i | −0.0163062 | + | 0.0181099i | ||||
\(811\) | 11.6817 | − | 35.9527i | 0.410201 | − | 1.26247i | −0.506273 | − | 0.862374i | \(-0.668977\pi\) |
0.916474 | − | 0.400095i | \(-0.131023\pi\) | |||||||
\(812\) | 0.0920665 | − | 0.875954i | 0.00323090 | − | 0.0307400i | ||||
\(813\) | 0.158356 | + | 0.274280i | 0.00555378 | + | 0.00961943i | ||||
\(814\) | −31.3156 | − | 4.48282i | −1.09761 | − | 0.157123i | ||||
\(815\) | −2.44523 | − | 4.23527i | −0.0856528 | − | 0.148355i | ||||
\(816\) | 1.34698 | − | 0.599713i | 0.0471536 | − | 0.0209941i | ||||
\(817\) | 0.0160059 | + | 0.0177764i | 0.000559976 | + | 0.000621916i | ||||
\(818\) | −3.51065 | − | 10.8047i | −0.122747 | − | 0.377776i | ||||
\(819\) | 13.4436 | − | 13.3577i | 0.469758 | − | 0.466757i | ||||
\(820\) | −6.66312 | + | 4.84104i | −0.232686 | + | 0.169056i | ||||
\(821\) | 31.2498 | + | 6.64235i | 1.09062 | + | 0.231819i | 0.717917 | − | 0.696129i | \(-0.245096\pi\) |
0.372708 | + | 0.927949i | \(0.378429\pi\) | |||||||
\(822\) | 10.3113 | + | 11.4518i | 0.359647 | + | 0.399428i | ||||
\(823\) | −3.86811 | + | 36.8027i | −0.134834 | + | 1.28286i | 0.692610 | + | 0.721312i | \(0.256461\pi\) |
−0.827444 | + | 0.561548i | \(0.810206\pi\) | |||||||
\(824\) | −23.8911 | −0.832285 | ||||||||
\(825\) | −14.3023 | + | 0.963364i | −0.497943 | + | 0.0335400i | ||||
\(826\) | 7.24412 | + | 12.5472i | 0.252055 | + | 0.436573i | ||||
\(827\) | 40.7590 | + | 29.6131i | 1.41733 | + | 1.02975i | 0.992205 | + | 0.124614i | \(0.0397691\pi\) |
0.425123 | + | 0.905136i | \(0.360231\pi\) | |||||||
\(828\) | 7.05101 | − | 1.49874i | 0.245040 | − | 0.0520848i | ||||
\(829\) | 3.67632 | + | 0.781425i | 0.127684 | + | 0.0271400i | 0.271310 | − | 0.962492i | \(-0.412543\pi\) |
−0.143626 | + | 0.989632i | \(0.545876\pi\) | |||||||
\(830\) | 0.749415 | + | 7.13021i | 0.0260126 | + | 0.247493i | ||||
\(831\) | −2.63837 | + | 1.91689i | −0.0915241 | + | 0.0664962i | ||||
\(832\) | −8.58821 | + | 13.1323i | −0.297743 | + | 0.455282i | ||||
\(833\) | 38.1904 | − | 117.538i | 1.32322 | − | 4.07245i | ||||
\(834\) | −8.03248 | + | 3.57629i | −0.278142 | + | 0.123837i | ||||
\(835\) | −0.659169 | + | 1.14172i | −0.0228115 | + | 0.0395107i | ||||
\(836\) | 0.0271422 | − | 0.0226570i | 0.000938733 | − | 0.000783608i | ||||
\(837\) | 4.42749 | 0.153037 | ||||||||
\(838\) | 2.52089 | − | 23.9847i | 0.0870827 | − | 0.828536i | ||||
\(839\) | −24.7498 | + | 5.26074i | −0.854460 | + | 0.181621i | −0.614261 | − | 0.789103i | \(-0.710546\pi\) |
−0.240198 | + | 0.970724i | \(0.577213\pi\) | |||||||
\(840\) | 3.70674 | + | 11.4082i | 0.127895 | + | 0.393619i | ||||
\(841\) | −26.4774 | − | 11.7885i | −0.913014 | − | 0.406500i | ||||
\(842\) | 1.59274 | + | 15.1539i | 0.0548895 | + | 0.522239i | ||||
\(843\) | −14.6943 | − | 3.12338i | −0.506100 | − | 0.107575i | ||||
\(844\) | −4.31999 | + | 13.2956i | −0.148700 | + | 0.457653i | ||||
\(845\) | 8.00010 | − | 7.11101i | 0.275212 | − | 0.244626i | ||||
\(846\) | 1.39144 | 0.0478387 | ||||||||
\(847\) | 57.2960 | − | 7.75377i | 1.96871 | − | 0.266423i | ||||
\(848\) | 0.670414 | − | 1.16119i | 0.0230221 | − | 0.0398754i | ||||
\(849\) | 1.62315 | − | 15.4432i | 0.0557064 | − | 0.530011i | ||||
\(850\) | 6.74051 | − | 20.7452i | 0.231198 | − | 0.711553i | ||||
\(851\) | −42.3248 | + | 47.0064i | −1.45088 | + | 1.61136i | ||||
\(852\) | −12.4377 | − | 5.53763i | −0.426109 | − | 0.189716i | ||||
\(853\) | 21.9603 | − | 15.9551i | 0.751908 | − | 0.546293i | −0.144510 | − | 0.989503i | \(-0.546161\pi\) |
0.896418 | + | 0.443211i | \(0.146161\pi\) | |||||||
\(854\) | −14.4800 | + | 16.0816i | −0.495494 | + | 0.550302i | ||||
\(855\) | 0.00455122 | + | 0.00505465i | 0.000155649 | + | 0.000172865i | ||||
\(856\) | −35.4447 | + | 15.7810i | −1.21148 | + | 0.539384i | ||||
\(857\) | 11.3399 | 0.387363 | 0.193682 | − | 0.981064i | \(-0.437957\pi\) | ||||
0.193682 | + | 0.981064i | \(0.437957\pi\) | |||||||
\(858\) | −6.65225 | + | 7.56407i | −0.227104 | + | 0.258233i | ||||
\(859\) | 45.6677 | 1.55816 | 0.779081 | − | 0.626923i | \(-0.215686\pi\) | ||||
0.779081 | + | 0.626923i | \(0.215686\pi\) | |||||||
\(860\) | −2.81058 | + | 1.25135i | −0.0958398 | + | 0.0426706i | ||||
\(861\) | −27.2633 | − | 30.2789i | −0.929130 | − | 1.03190i | ||||
\(862\) | −11.6322 | + | 12.9188i | −0.396194 | + | 0.440018i | ||||
\(863\) | 21.0212 | − | 15.2728i | 0.715569 | − | 0.519891i | −0.169397 | − | 0.985548i | \(-0.554182\pi\) |
0.884965 | + | 0.465657i | \(0.154182\pi\) | |||||||
\(864\) | −5.25356 | − | 2.33904i | −0.178730 | − | 0.0795756i | ||||
\(865\) | −0.883646 | + | 0.981388i | −0.0300449 | + | 0.0333682i | ||||
\(866\) | 6.95287 | − | 21.3987i | 0.236268 | − | 0.727158i | ||||
\(867\) | −1.97514 | + | 18.7922i | −0.0670794 | + | 0.638218i | ||||
\(868\) | 15.0154 | − | 26.0074i | 0.509656 | − | 0.882750i | ||||
\(869\) | 3.34646 | + | 4.98880i | 0.113521 | + | 0.169233i | ||||
\(870\) | −0.0900622 | −0.00305339 | ||||||||
\(871\) | −5.36622 | − | 2.75592i | −0.181827 | − | 0.0933809i | ||||
\(872\) | −1.70175 | + | 5.23744i | −0.0576285 | + | 0.177362i | ||||
\(873\) | −11.7334 | − | 2.49401i | −0.397116 | − | 0.0844096i | ||||
\(874\) | 0.00406322 | + | 0.0386589i | 0.000137440 | + | 0.00130766i | ||||
\(875\) | −36.8556 | − | 16.4092i | −1.24595 | − | 0.554732i | ||||
\(876\) | 3.02687 | + | 9.31575i | 0.102269 | + | 0.314750i | ||||
\(877\) | −38.8819 | + | 8.26461i | −1.31295 | + | 0.279076i | −0.810606 | − | 0.585592i | \(-0.800862\pi\) |
−0.502344 | + | 0.864668i | \(0.667529\pi\) | |||||||
\(878\) | 2.52272 | − | 24.0021i | 0.0851378 | − | 0.810032i | ||||
\(879\) | 10.3332 | 0.348530 | ||||||||
\(880\) | 0.250155 | + | 0.623744i | 0.00843272 | + | 0.0210264i | ||||
\(881\) | 1.52820 | − | 2.64692i | 0.0514864 | − | 0.0891771i | −0.839134 | − | 0.543925i | \(-0.816937\pi\) |
0.890620 | + | 0.454748i | \(0.150271\pi\) | |||||||
\(882\) | −15.8736 | + | 7.06740i | −0.534493 | + | 0.237972i | ||||
\(883\) | −10.1010 | + | 31.0876i | −0.339925 | + | 1.04618i | 0.624320 | + | 0.781168i | \(0.285376\pi\) |
−0.964245 | + | 0.265012i | \(0.914624\pi\) | |||||||
\(884\) | 12.5758 | + | 24.8781i | 0.422968 | + | 0.836741i | ||||
\(885\) | −2.17969 | + | 1.58363i | −0.0732693 | + | 0.0532333i | ||||
\(886\) | −0.113429 | − | 1.07920i | −0.00381072 | − | 0.0362566i | ||||
\(887\) | 7.16287 | + | 1.52252i | 0.240506 | + | 0.0511211i | 0.326587 | − | 0.945167i | \(-0.394101\pi\) |
−0.0860817 | + | 0.996288i | \(0.527435\pi\) | |||||||
\(888\) | 30.6992 | − | 6.52531i | 1.03020 | − | 0.218975i | ||||
\(889\) | −15.3649 | − | 11.1633i | −0.515323 | − | 0.374404i | ||||
\(890\) | 2.10220 | + | 3.64112i | 0.0704659 | + | 0.122051i | ||||
\(891\) | −2.80815 | − | 1.76473i | −0.0940767 | − | 0.0591207i | ||||
\(892\) | 10.8216 | 0.362335 | ||||||||
\(893\) | 0.00142637 | − | 0.0135710i | 4.77316e−5 | − | 0.000454136i | ||||
\(894\) | −0.769608 | − | 0.854736i | −0.0257395 | − | 0.0285866i | ||||
\(895\) | 5.07555 | + | 1.07884i | 0.169657 | + | 0.0360617i | ||||
\(896\) | −33.3196 | + | 24.2081i | −1.11313 | + | 0.808737i | ||||
\(897\) | 5.15052 | + | 19.4714i | 0.171971 | + | 0.650130i | ||||
\(898\) | −6.22880 | − | 19.1703i | −0.207858 | − | 0.639721i | ||||
\(899\) | 0.384704 | + | 0.427257i | 0.0128306 | + | 0.0142498i | ||||
\(900\) | 5.09518 | − | 2.26852i | 0.169839 | − | 0.0756174i | ||||
\(901\) | 16.3213 | + | 28.2694i | 0.543743 | + | 0.941790i | ||||
\(902\) | 15.5398 | + | 15.0836i | 0.517419 | + | 0.502230i | ||||
\(903\) | −7.60996 | − | 13.1808i | −0.253244 | − | 0.438631i | ||||
\(904\) | −1.56050 | + | 14.8472i | −0.0519014 | + | 0.493809i | ||||
\(905\) | 4.62971 | − | 14.2488i | 0.153897 | − | 0.473645i | ||||
\(906\) | 9.17917 | − | 10.1945i | 0.304958 | − | 0.338690i | ||||
\(907\) | −3.50710 | − | 33.3678i | −0.116451 | − | 1.10796i | −0.884167 | − | 0.467170i | \(-0.845274\pi\) |
0.767716 | − | 0.640790i | \(-0.221393\pi\) | |||||||
\(908\) | 3.79249 | + | 36.0831i | 0.125858 | + | 1.19746i | ||||
\(909\) | −1.42853 | − | 4.39656i | −0.0473813 | − | 0.145825i | ||||
\(910\) | −12.2860 | + | 4.67104i | −0.407278 | + | 0.154844i | ||||
\(911\) | 2.19863 | + | 1.59740i | 0.0728440 | + | 0.0529243i | 0.623611 | − | 0.781735i | \(-0.285665\pi\) |
−0.550767 | + | 0.834659i | \(0.685665\pi\) | |||||||
\(912\) | −0.00101650 | + | 0.00176063i | −3.36597e−5 | + | 5.83003e-5i | ||||
\(913\) | −32.9806 | + | 9.36582i | −1.09150 | + | 0.309963i | ||||
\(914\) | −6.09722 | − | 10.5607i | −0.201678 | − | 0.349317i | ||||
\(915\) | −3.25563 | − | 2.36535i | −0.107628 | − | 0.0781961i | ||||
\(916\) | 29.1623 | − | 6.19864i | 0.963550 | − | 0.204809i | ||||
\(917\) | −67.9958 | + | 75.5170i | −2.24542 | + | 2.49379i | ||||
\(918\) | 4.08296 | − | 2.96644i | 0.134758 | − | 0.0979072i | ||||
\(919\) | 10.8510 | + | 4.83118i | 0.357942 | + | 0.159366i | 0.577826 | − | 0.816160i | \(-0.303901\pi\) |
−0.219884 | + | 0.975526i | \(0.570568\pi\) | |||||||
\(920\) | −12.4696 | − | 2.65050i | −0.411111 | − | 0.0873843i | ||||
\(921\) | 21.8626 | + | 24.2808i | 0.720396 | + | 0.800080i | ||||
\(922\) | −24.3007 | − | 17.6555i | −0.800302 | − | 0.581453i | ||||
\(923\) | 13.7462 | − | 35.4699i | 0.452462 | − | 1.16751i | ||||
\(924\) | −19.8897 | + | 10.5104i | −0.654324 | + | 0.345767i | ||||
\(925\) | −24.4701 | + | 42.3835i | −0.804573 | + | 1.39356i | ||||
\(926\) | −16.3655 | + | 7.28637i | −0.537802 | + | 0.239445i | ||||
\(927\) | 8.43123 | − | 1.79211i | 0.276918 | − | 0.0588607i | ||||
\(928\) | −0.230762 | − | 0.710212i | −0.00757513 | − | 0.0233139i | ||||
\(929\) | −48.1903 | − | 21.4557i | −1.58107 | − | 0.703939i | −0.586692 | − | 0.809810i | \(-0.699570\pi\) |
−0.994380 | + | 0.105871i | \(0.966237\pi\) | |||||||
\(930\) | −2.80525 | − | 1.24898i | −0.0919879 | − | 0.0409557i | ||||
\(931\) | 0.0526577 | + | 0.162064i | 0.00172579 | + | 0.00531142i | ||||
\(932\) | 14.2856 | − | 3.03650i | 0.467940 | − | 0.0994638i | ||||
\(933\) | −15.6657 | + | 6.97482i | −0.512872 | + | 0.228345i | ||||
\(934\) | 11.2194 | − | 19.4326i | 0.367111 | − | 0.635855i | ||||
\(935\) | −16.1958 | − | 2.31842i | −0.529658 | − | 0.0758205i | ||||
\(936\) | 3.61126 | − | 9.31828i | 0.118038 | − | 0.304578i | ||||
\(937\) | −34.5140 | − | 25.0759i | −1.12752 | − | 0.819195i | −0.142192 | − | 0.989839i | \(-0.545415\pi\) |
−0.985333 | + | 0.170645i | \(0.945415\pi\) | |||||||
\(938\) | 4.95686 | + | 5.50515i | 0.161847 | + | 0.179750i | ||||
\(939\) | −1.93128 | − | 0.410506i | −0.0630249 | − | 0.0133964i | ||||
\(940\) | 1.60333 | + | 0.713850i | 0.0522949 | + | 0.0232832i | ||||
\(941\) | 6.75052 | − | 4.90454i | 0.220061 | − | 0.159883i | −0.472293 | − | 0.881441i | \(-0.656574\pi\) |
0.692354 | + | 0.721558i | \(0.256574\pi\) | |||||||
\(942\) | 2.84094 | − | 3.15519i | 0.0925629 | − | 0.102802i | ||||
\(943\) | 42.3555 | − | 9.00295i | 1.37929 | − | 0.293176i | ||||
\(944\) | −0.651499 | − | 0.473342i | −0.0212045 | − | 0.0154060i | ||||
\(945\) | −2.16387 | − | 3.74793i | −0.0703906 | − | 0.121920i | ||||
\(946\) | 4.50653 | + | 6.71821i | 0.146520 | + | 0.218428i | ||||
\(947\) | 4.98776 | − | 8.63905i | 0.162080 | − | 0.280732i | −0.773534 | − | 0.633755i | \(-0.781513\pi\) |
0.935615 | + | 0.353023i | \(0.114846\pi\) | |||||||
\(948\) | −1.89092 | − | 1.37383i | −0.0614141 | − | 0.0446200i | ||||
\(949\) | −25.5817 | + | 9.72596i | −0.830419 | + | 0.315718i | ||||
\(950\) | 0.00929395 | + | 0.0286038i | 0.000301535 | + | 0.000928031i | ||||
\(951\) | −1.11041 | − | 10.5649i | −0.0360076 | − | 0.342589i | ||||
\(952\) | −9.12384 | − | 86.8075i | −0.295705 | − | 2.81345i | ||||
\(953\) | 5.68310 | − | 6.31172i | 0.184094 | − | 0.204457i | −0.644033 | − | 0.764998i | \(-0.722740\pi\) |
0.828127 | + | 0.560541i | \(0.189407\pi\) | |||||||
\(954\) | 1.41822 | − | 4.36482i | 0.0459165 | − | 0.141316i | ||||
\(955\) | −1.74010 | + | 16.5559i | −0.0563082 | + | 0.535737i | ||||
\(956\) | −0.255310 | − | 0.442211i | −0.00825733 | − | 0.0143021i | ||||
\(957\) | −0.0737018 | − | 0.424327i | −0.00238244 | − | 0.0137165i | ||||
\(958\) | 11.2133 | + | 19.4221i | 0.362286 | + | 0.627498i | ||||
\(959\) | −87.8432 | + | 39.1103i | −2.83660 | + | 1.26294i | ||||
\(960\) | 2.39765 | + | 2.66286i | 0.0773838 | + | 0.0859434i | ||||
\(961\) | −3.52196 | − | 10.8395i | −0.113612 | − | 0.349660i | ||||
\(962\) | 8.79446 | + | 33.2472i | 0.283545 | + | 1.07193i | ||||
\(963\) | 11.3248 | − | 8.22794i | 0.364936 | − | 0.265142i | ||||
\(964\) | 4.30079 | + | 0.914162i | 0.138519 | + | 0.0294432i | ||||
\(965\) | −13.7936 | − | 15.3194i | −0.444032 | − | 0.493148i | ||||
\(966\) | 2.58531 | − | 24.5976i | 0.0831811 | − | 0.791415i | ||||
\(967\) | 13.2224 | 0.425205 | 0.212602 | − | 0.977139i | \(-0.431806\pi\) | ||||
0.212602 | + | 0.977139i | \(0.431806\pi\) | |||||||
\(968\) | 25.9384 | − | 16.0242i | 0.833691 | − | 0.515037i | ||||
\(969\) | −0.0247469 | − | 0.0428629i | −0.000794984 | − | 0.00137695i | ||||
\(970\) | 6.73072 | + | 4.89016i | 0.216110 | + | 0.157013i | ||||
\(971\) | 18.9467 | − | 4.02725i | 0.608029 | − | 0.129241i | 0.106400 | − | 0.994323i | \(-0.466068\pi\) |
0.501629 | + | 0.865083i | \(0.332734\pi\) | |||||||
\(972\) | 1.26224 | + | 0.268297i | 0.0404863 | + | 0.00860562i | ||||
\(973\) | −5.73496 | − | 54.5645i | −0.183854 | − | 1.74926i | ||||
\(974\) | −13.7695 | + | 10.0042i | −0.441205 | + | 0.320554i | ||||
\(975\) | 7.03022 | + | 13.9076i | 0.225147 | + | 0.445399i | ||||
\(976\) | 0.371689 | − | 1.14394i | 0.0118975 | − | 0.0366166i | ||||
\(977\) | −30.1427 | + | 13.4204i | −0.964349 | + | 0.429356i | −0.827642 | − | 0.561256i | \(-0.810318\pi\) |
−0.136707 | + | 0.990612i | \(0.543652\pi\) | |||||||
\(978\) | 2.50166 | − | 4.33300i | 0.0799942 | − | 0.138554i | ||||
\(979\) | −15.4348 | + | 12.8842i | −0.493297 | + | 0.411780i | ||||
\(980\) | −21.9167 | −0.700104 | ||||||||
\(981\) | 0.207682 | − | 1.97596i | 0.00663077 | − | 0.0630875i | ||||
\(982\) | 31.2375 | − | 6.63973i | 0.996828 | − | 0.211882i | ||||
\(983\) | −0.584095 | − | 1.79766i | −0.0186297 | − | 0.0573364i | 0.941309 | − | 0.337545i | \(-0.109596\pi\) |
−0.959939 | + | 0.280208i | \(0.909596\pi\) | |||||||
\(984\) | −19.6279 | − | 8.73892i | −0.625715 | − | 0.278586i | ||||
\(985\) | 0.243725 | + | 2.31889i | 0.00776573 | + | 0.0738860i | ||||
\(986\) | 0.641032 | + | 0.136256i | 0.0204146 | + | 0.00433926i | ||||
\(987\) | −2.68301 | + | 8.25747i | −0.0854013 | + | 0.262838i | ||||
\(988\) | −0.0341906 | − | 0.0175592i | −0.00108775 | − | 0.000558633i | ||||
\(989\) | 16.1752 | 0.514343 | ||||||||
\(990\) | 1.28142 | + | 1.91030i | 0.0407261 | + | 0.0607134i | ||||
\(991\) | 1.76363 | − | 3.05469i | 0.0560235 | − | 0.0970356i | −0.836654 | − | 0.547733i | \(-0.815491\pi\) |
0.892677 | + | 0.450697i | \(0.148824\pi\) | |||||||
\(992\) | 2.66144 | − | 25.3219i | 0.0845007 | − | 0.803971i | ||||
\(993\) | 7.04505 | − | 21.6824i | 0.223568 | − | 0.688071i | ||||
\(994\) | −31.2574 | + | 34.7149i | −0.991425 | + | 1.10109i | ||||
\(995\) | −1.73581 | − | 0.772834i | −0.0550290 | − | 0.0245005i | ||||
\(996\) | 10.7919 | − | 7.84077i | 0.341954 | − | 0.248444i | ||||
\(997\) | 33.8185 | − | 37.5593i | 1.07104 | − | 1.18951i | 0.0899558 | − | 0.995946i | \(-0.471327\pi\) |
0.981087 | − | 0.193568i | \(-0.0620059\pi\) | |||||||
\(998\) | 10.5213 | + | 11.6851i | 0.333046 | + | 0.369885i | ||||
\(999\) | −10.3444 | + | 4.60560i | −0.327281 | + | 0.145715i |
(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 | 429.2.bg.b.334.6 | yes | 112 | |
11.3 | even | 5 | inner | 429.2.bg.b.256.9 | ✓ | 112 | |
13.3 | even | 3 | inner | 429.2.bg.b.367.9 | yes | 112 | |
143.3 | even | 15 | inner | 429.2.bg.b.289.6 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bg.b.256.9 | ✓ | 112 | 11.3 | even | 5 | inner | |
429.2.bg.b.289.6 | yes | 112 | 143.3 | even | 15 | inner | |
429.2.bg.b.334.6 | yes | 112 | 1.1 | even | 1 | trivial | |
429.2.bg.b.367.9 | yes | 112 | 13.3 | even | 3 | inner |