Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 58.8 | ||
Character | \(\chi\) | \(=\) | 99.58 |
Dual form | 99.2.m.b.70.8 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41247 | + | 0.628870i | 0.998764 | + | 0.444679i | 0.839970 | − | 0.542633i | \(-0.182573\pi\) |
0.158794 | + | 0.987312i | \(0.449239\pi\) | |||||||
\(3\) | −0.215098 | + | 1.71864i | −0.124187 | + | 0.992259i | ||||
\(4\) | 0.261321 | + | 0.290226i | 0.130660 | + | 0.145113i | ||||
\(5\) | 0.540848 | − | 0.240801i | 0.241875 | − | 0.107690i | −0.282220 | − | 0.959350i | \(-0.591071\pi\) |
0.524094 | + | 0.851660i | \(0.324404\pi\) | |||||||
\(6\) | −1.38462 | + | 2.29226i | −0.565269 | + | 0.935810i | ||||
\(7\) | −0.706174 | + | 0.150102i | −0.266909 | + | 0.0567332i | −0.339422 | − | 0.940634i | \(-0.610231\pi\) |
0.0725131 | + | 0.997367i | \(0.476898\pi\) | |||||||
\(8\) | −0.768973 | − | 2.36665i | −0.271873 | − | 0.836739i | ||||
\(9\) | −2.90747 | − | 0.739353i | −0.969155 | − | 0.246451i | ||||
\(10\) | 0.915362 | 0.289463 | ||||||||
\(11\) | 3.10382 | − | 1.16888i | 0.935837 | − | 0.352432i | ||||
\(12\) | −0.555005 | + | 0.386690i | −0.160216 | + | 0.111628i | ||||
\(13\) | 0.164629 | + | 1.56634i | 0.0456598 | + | 0.434424i | 0.993342 | + | 0.115207i | \(0.0367531\pi\) |
−0.947682 | + | 0.319217i | \(0.896580\pi\) | |||||||
\(14\) | −1.09184 | − | 0.232078i | −0.291807 | − | 0.0620255i | ||||
\(15\) | 0.297516 | + | 0.981321i | 0.0768183 | + | 0.253376i | ||||
\(16\) | 0.483816 | − | 4.60320i | 0.120954 | − | 1.15080i | ||||
\(17\) | −3.71501 | − | 2.69911i | −0.901022 | − | 0.654631i | 0.0377065 | − | 0.999289i | \(-0.487995\pi\) |
−0.938728 | + | 0.344658i | \(0.887995\pi\) | |||||||
\(18\) | −3.64174 | − | 2.87273i | −0.858366 | − | 0.677109i | ||||
\(19\) | 0.775200 | + | 2.38582i | 0.177843 | + | 0.547345i | 0.999752 | − | 0.0222743i | \(-0.00709072\pi\) |
−0.821909 | + | 0.569619i | \(0.807091\pi\) | |||||||
\(20\) | 0.211222 | + | 0.0940420i | 0.0472306 | + | 0.0210284i | ||||
\(21\) | −0.106075 | − | 1.24595i | −0.0231475 | − | 0.271888i | ||||
\(22\) | 5.11912 | + | 0.300892i | 1.09140 | + | 0.0641503i | ||||
\(23\) | 2.22600 | − | 3.85554i | 0.464153 | − | 0.803937i | −0.535010 | − | 0.844846i | \(-0.679692\pi\) |
0.999163 | + | 0.0409092i | \(0.0130255\pi\) | |||||||
\(24\) | 4.23284 | − | 0.812527i | 0.864024 | − | 0.165856i | ||||
\(25\) | −3.11112 | + | 3.45525i | −0.622224 | + | 0.691050i | ||||
\(26\) | −0.752490 | + | 2.31593i | −0.147576 | + | 0.454191i | ||||
\(27\) | 1.89607 | − | 4.83786i | 0.364899 | − | 0.931047i | ||||
\(28\) | −0.228102 | − | 0.165726i | −0.0431072 | − | 0.0313192i | ||||
\(29\) | −6.82612 | + | 1.45094i | −1.26758 | + | 0.269432i | −0.792152 | − | 0.610323i | \(-0.791040\pi\) |
−0.475426 | + | 0.879755i | \(0.657706\pi\) | |||||||
\(30\) | −0.196892 | + | 1.57318i | −0.0359475 | + | 0.287222i | ||||
\(31\) | 0.954161 | + | 9.07824i | 0.171372 | + | 1.63050i | 0.655284 | + | 0.755382i | \(0.272549\pi\) |
−0.483912 | + | 0.875117i | \(0.660784\pi\) | |||||||
\(32\) | 1.08974 | − | 1.88749i | 0.192641 | − | 0.333664i | ||||
\(33\) | 1.34127 | + | 5.58579i | 0.233485 | + | 0.972360i | ||||
\(34\) | −3.54993 | − | 6.14866i | −0.608808 | − | 1.05449i | ||||
\(35\) | −0.345788 | + | 0.251230i | −0.0584489 | + | 0.0424656i | ||||
\(36\) | −0.545202 | − | 1.03703i | −0.0908670 | − | 0.172839i | ||||
\(37\) | 0.893583 | − | 2.75017i | 0.146904 | − | 0.452125i | −0.850347 | − | 0.526223i | \(-0.823608\pi\) |
0.997251 | + | 0.0740981i | \(0.0236078\pi\) | |||||||
\(38\) | −0.405428 | + | 3.85739i | −0.0657691 | + | 0.625751i | ||||
\(39\) | −2.72738 | − | 0.0539778i | −0.436731 | − | 0.00864336i | ||||
\(40\) | −0.985790 | − | 1.09483i | −0.155867 | − | 0.173108i | ||||
\(41\) | 1.12890 | + | 0.239955i | 0.176304 | + | 0.0374747i | 0.295218 | − | 0.955430i | \(-0.404608\pi\) |
−0.118913 | + | 0.992905i | \(0.537941\pi\) | |||||||
\(42\) | 0.633712 | − | 1.82657i | 0.0977839 | − | 0.281845i | ||||
\(43\) | 2.10724 | + | 3.64985i | 0.321351 | + | 0.556596i | 0.980767 | − | 0.195182i | \(-0.0625297\pi\) |
−0.659416 | + | 0.751778i | \(0.729196\pi\) | |||||||
\(44\) | 1.15033 | + | 0.595357i | 0.173419 | + | 0.0897534i | ||||
\(45\) | −1.75053 | + | 0.300244i | −0.260954 | + | 0.0447577i | ||||
\(46\) | 5.56879 | − | 4.04596i | 0.821073 | − | 0.596544i | ||||
\(47\) | −0.152264 | + | 0.169107i | −0.0222100 | + | 0.0246667i | −0.754147 | − | 0.656705i | \(-0.771950\pi\) |
0.731937 | + | 0.681372i | \(0.238616\pi\) | |||||||
\(48\) | 7.80719 | + | 1.82164i | 1.12687 | + | 0.262932i | ||||
\(49\) | −5.91867 | + | 2.63516i | −0.845524 | + | 0.376451i | ||||
\(50\) | −6.56726 | + | 2.92393i | −0.928751 | + | 0.413506i | ||||
\(51\) | 5.43790 | − | 5.80420i | 0.761458 | − | 0.812750i | ||||
\(52\) | −0.411571 | + | 0.457096i | −0.0570747 | + | 0.0633878i | ||||
\(53\) | 4.61430 | − | 3.35249i | 0.633823 | − | 0.460500i | −0.223899 | − | 0.974612i | \(-0.571879\pi\) |
0.857723 | + | 0.514113i | \(0.171879\pi\) | |||||||
\(54\) | 5.72053 | − | 5.64093i | 0.778465 | − | 0.767634i | ||||
\(55\) | 1.39723 | − | 1.37959i | 0.188402 | − | 0.186024i | ||||
\(56\) | 0.898268 | + | 1.55585i | 0.120036 | + | 0.207909i | ||||
\(57\) | −4.26712 | + | 0.819107i | −0.565193 | + | 0.108493i | ||||
\(58\) | −10.5541 | − | 2.24335i | −1.38582 | − | 0.294566i | ||||
\(59\) | 4.77328 | + | 5.30126i | 0.621428 | + | 0.690166i | 0.968880 | − | 0.247532i | \(-0.0796196\pi\) |
−0.347452 | + | 0.937698i | \(0.612953\pi\) | |||||||
\(60\) | −0.207058 | + | 0.342787i | −0.0267311 | + | 0.0442536i | ||||
\(61\) | −0.476541 | + | 4.53398i | −0.0610148 | + | 0.580517i | 0.920715 | + | 0.390236i | \(0.127607\pi\) |
−0.981730 | + | 0.190281i | \(0.939060\pi\) | |||||||
\(62\) | −4.36131 | + | 13.4227i | −0.553887 | + | 1.70469i | ||||
\(63\) | 2.16416 | + | 0.0856954i | 0.272658 | + | 0.0107966i | ||||
\(64\) | −4.76295 | + | 3.46049i | −0.595369 | + | 0.432561i | ||||
\(65\) | 0.466215 | + | 0.807507i | 0.0578268 | + | 0.100159i | ||||
\(66\) | −1.61824 | + | 8.73322i | −0.199191 | + | 1.07498i | ||||
\(67\) | 4.04571 | − | 7.00738i | 0.494262 | − | 0.856087i | −0.505716 | − | 0.862700i | \(-0.668772\pi\) |
0.999978 | + | 0.00661279i | \(0.00210493\pi\) | |||||||
\(68\) | −0.187456 | − | 1.78353i | −0.0227324 | − | 0.216284i | ||||
\(69\) | 6.14750 | + | 4.65502i | 0.740072 | + | 0.560398i | ||||
\(70\) | −0.646405 | + | 0.137398i | −0.0772602 | + | 0.0164222i | ||||
\(71\) | 9.95852 | + | 7.23528i | 1.18186 | + | 0.858670i | 0.992380 | − | 0.123215i | \(-0.0393203\pi\) |
0.189478 | + | 0.981885i | \(0.439320\pi\) | |||||||
\(72\) | 0.485970 | + | 7.44951i | 0.0572721 | + | 0.877933i | ||||
\(73\) | 4.78461 | − | 14.7255i | 0.559996 | − | 1.72349i | −0.122373 | − | 0.992484i | \(-0.539050\pi\) |
0.682370 | − | 0.731007i | \(-0.260950\pi\) | |||||||
\(74\) | 2.99165 | − | 3.32257i | 0.347773 | − | 0.386241i | ||||
\(75\) | −5.26915 | − | 6.09012i | −0.608429 | − | 0.703227i | ||||
\(76\) | −0.489852 | + | 0.848448i | −0.0561899 | + | 0.0973237i | ||||
\(77\) | −2.01639 | + | 1.29133i | −0.229789 | + | 0.147160i | ||||
\(78\) | −3.81839 | − | 1.79141i | −0.432348 | − | 0.202838i | ||||
\(79\) | −13.3556 | − | 5.94631i | −1.50263 | − | 0.669012i | −0.519925 | − | 0.854212i | \(-0.674040\pi\) |
−0.982701 | + | 0.185200i | \(0.940707\pi\) | |||||||
\(80\) | −0.846785 | − | 2.60614i | −0.0946734 | − | 0.291375i | ||||
\(81\) | 7.90672 | + | 4.29928i | 0.878524 | + | 0.477698i | ||||
\(82\) | 1.44363 | + | 1.04886i | 0.159422 | + | 0.115827i | ||||
\(83\) | 0.726787 | − | 6.91491i | 0.0797752 | − | 0.759010i | −0.879378 | − | 0.476124i | \(-0.842041\pi\) |
0.959153 | − | 0.282886i | \(-0.0912920\pi\) | |||||||
\(84\) | 0.333887 | − | 0.356378i | 0.0364301 | − | 0.0388840i | ||||
\(85\) | −2.65920 | − | 0.565231i | −0.288431 | − | 0.0613079i | ||||
\(86\) | 0.681124 | + | 6.48047i | 0.0734475 | + | 0.698807i | ||||
\(87\) | −1.02536 | − | 12.0438i | −0.109930 | − | 1.29123i | ||||
\(88\) | −5.15310 | − | 6.44683i | −0.549322 | − | 0.687235i | ||||
\(89\) | 12.4803 | 1.32291 | 0.661453 | − | 0.749986i | \(-0.269940\pi\) | ||||
0.661453 | + | 0.749986i | \(0.269940\pi\) | |||||||
\(90\) | −2.66138 | − | 0.676775i | −0.280535 | − | 0.0713384i | ||||
\(91\) | −0.351367 | − | 1.08140i | −0.0368332 | − | 0.113361i | ||||
\(92\) | 1.70068 | − | 0.361491i | 0.177308 | − | 0.0376880i | ||||
\(93\) | −15.8075 | − | 0.312847i | −1.63916 | − | 0.0324407i | ||||
\(94\) | −0.321414 | + | 0.143103i | −0.0331514 | + | 0.0147599i | ||||
\(95\) | 0.993774 | + | 1.10370i | 0.101959 | + | 0.113237i | ||||
\(96\) | 3.00952 | + | 2.27887i | 0.307158 | + | 0.232586i | ||||
\(97\) | 12.9545 | + | 5.76772i | 1.31533 | + | 0.585623i | 0.939970 | − | 0.341256i | \(-0.110852\pi\) |
0.375360 | + | 0.926879i | \(0.377519\pi\) | |||||||
\(98\) | −10.0171 | −1.01188 | ||||||||
\(99\) | −9.88847 | + | 1.10367i | −0.993829 | + | 0.110923i | ||||
\(100\) | −1.81581 | −0.181581 | ||||||||
\(101\) | −13.1263 | − | 5.84421i | −1.30612 | − | 0.581521i | −0.368641 | − | 0.929572i | \(-0.620177\pi\) |
−0.937476 | + | 0.348051i | \(0.886844\pi\) | |||||||
\(102\) | 11.3309 | − | 4.77850i | 1.12193 | − | 0.473142i | ||||
\(103\) | −2.96348 | − | 3.29128i | −0.292000 | − | 0.324299i | 0.579239 | − | 0.815158i | \(-0.303350\pi\) |
−0.871239 | + | 0.490859i | \(0.836683\pi\) | |||||||
\(104\) | 3.58038 | − | 1.59409i | 0.351085 | − | 0.156313i | ||||
\(105\) | −0.357396 | − | 0.648325i | −0.0348783 | − | 0.0632701i | ||||
\(106\) | 8.62583 | − | 1.83348i | 0.837815 | − | 0.178083i | ||||
\(107\) | −4.86529 | − | 14.9738i | −0.470345 | − | 1.44757i | −0.852134 | − | 0.523324i | \(-0.824692\pi\) |
0.381788 | − | 0.924250i | \(-0.375308\pi\) | |||||||
\(108\) | 1.89956 | − | 0.713945i | 0.182785 | − | 0.0686994i | ||||
\(109\) | −13.6970 | −1.31194 | −0.655969 | − | 0.754788i | \(-0.727740\pi\) | ||||
−0.655969 | + | 0.754788i | \(0.727740\pi\) | |||||||
\(110\) | 2.84112 | − | 1.06995i | 0.270890 | − | 0.102016i | ||||
\(111\) | 4.53435 | + | 2.12731i | 0.430381 | + | 0.201915i | ||||
\(112\) | 0.349291 | + | 3.32328i | 0.0330049 | + | 0.314021i | ||||
\(113\) | −7.85465 | − | 1.66956i | −0.738904 | − | 0.157059i | −0.176941 | − | 0.984221i | \(-0.556620\pi\) |
−0.561963 | + | 0.827163i | \(0.689954\pi\) | |||||||
\(114\) | −6.54227 | − | 1.52650i | −0.612740 | − | 0.142970i | ||||
\(115\) | 0.275508 | − | 2.62129i | 0.0256913 | − | 0.244436i | ||||
\(116\) | −2.20491 | − | 1.60196i | −0.204721 | − | 0.148738i | ||||
\(117\) | 0.679423 | − | 4.67579i | 0.0628127 | − | 0.432277i | ||||
\(118\) | 3.40829 | + | 10.4896i | 0.313758 | + | 0.965648i | ||||
\(119\) | 3.02858 | + | 1.34841i | 0.277630 | + | 0.123609i | ||||
\(120\) | 2.09367 | − | 1.45873i | 0.191125 | − | 0.133163i | ||||
\(121\) | 8.26742 | − | 7.25602i | 0.751583 | − | 0.659638i | ||||
\(122\) | −3.52438 | + | 6.10441i | −0.319083 | + | 0.552668i | ||||
\(123\) | −0.655221 | + | 1.88856i | −0.0590792 | + | 0.170286i | ||||
\(124\) | −2.38540 | + | 2.64926i | −0.214215 | + | 0.237910i | ||||
\(125\) | −1.76536 | + | 5.43321i | −0.157898 | + | 0.485961i | ||||
\(126\) | 3.00290 | + | 1.48202i | 0.267520 | + | 0.132028i | ||||
\(127\) | 9.70522 | + | 7.05126i | 0.861199 | + | 0.625698i | 0.928211 | − | 0.372054i | \(-0.121347\pi\) |
−0.0670118 | + | 0.997752i | \(0.521347\pi\) | |||||||
\(128\) | −13.1674 | + | 2.79882i | −1.16385 | + | 0.247383i | ||||
\(129\) | −6.72605 | + | 2.83652i | −0.592195 | + | 0.249742i | ||||
\(130\) | 0.150695 | + | 1.43377i | 0.0132168 | + | 0.125750i | ||||
\(131\) | 3.44555 | − | 5.96786i | 0.301039 | − | 0.521414i | −0.675333 | − | 0.737513i | \(-0.736000\pi\) |
0.976372 | + | 0.216099i | \(0.0693333\pi\) | |||||||
\(132\) | −1.27064 | + | 1.84895i | −0.110595 | + | 0.160931i | ||||
\(133\) | −0.905543 | − | 1.56845i | −0.0785205 | − | 0.136002i | ||||
\(134\) | 10.1212 | − | 7.35345i | 0.874335 | − | 0.635242i | ||||
\(135\) | −0.139475 | − | 3.07312i | −0.0120041 | − | 0.264492i | ||||
\(136\) | −3.53112 | + | 10.8677i | −0.302791 | + | 0.931896i | ||||
\(137\) | −0.966528 | + | 9.19590i | −0.0825760 | + | 0.785658i | 0.872363 | + | 0.488858i | \(0.162586\pi\) |
−0.954939 | + | 0.296801i | \(0.904080\pi\) | |||||||
\(138\) | 5.75573 | + | 10.4410i | 0.489960 | + | 0.888800i | ||||
\(139\) | 14.4608 | + | 16.0603i | 1.22655 | + | 1.36222i | 0.910518 | + | 0.413469i | \(0.135683\pi\) |
0.316029 | + | 0.948749i | \(0.397650\pi\) | |||||||
\(140\) | −0.163275 | − | 0.0347052i | −0.0137993 | − | 0.00293313i | ||||
\(141\) | −0.257882 | − | 0.298062i | −0.0217176 | − | 0.0251014i | ||||
\(142\) | 9.51601 | + | 16.4822i | 0.798566 | + | 1.38316i | ||||
\(143\) | 2.34184 | + | 4.66920i | 0.195835 | + | 0.390458i | ||||
\(144\) | −4.81007 | + | 13.0259i | −0.400839 | + | 1.08549i | ||||
\(145\) | −3.34251 | + | 2.42847i | −0.277580 | + | 0.201674i | ||||
\(146\) | 16.0185 | − | 17.7904i | 1.32570 | − | 1.47234i | ||||
\(147\) | −3.25581 | − | 10.7389i | −0.268534 | − | 0.885729i | ||||
\(148\) | 1.03168 | − | 0.459335i | 0.0848038 | − | 0.0377571i | ||||
\(149\) | −1.04732 | + | 0.466296i | −0.0857996 | + | 0.0382005i | −0.449188 | − | 0.893437i | \(-0.648287\pi\) |
0.363388 | + | 0.931638i | \(0.381620\pi\) | |||||||
\(150\) | −3.61259 | − | 11.9157i | −0.294967 | − | 0.972913i | ||||
\(151\) | 0.589263 | − | 0.654443i | 0.0479536 | − | 0.0532578i | −0.718691 | − | 0.695330i | \(-0.755258\pi\) |
0.766644 | + | 0.642072i | \(0.221925\pi\) | |||||||
\(152\) | 5.05031 | − | 3.66926i | 0.409634 | − | 0.297616i | ||||
\(153\) | 8.80566 | + | 10.5943i | 0.711896 | + | 0.856496i | ||||
\(154\) | −3.66015 | + | 0.555908i | −0.294944 | + | 0.0447963i | ||||
\(155\) | 2.70211 | + | 4.68018i | 0.217038 | + | 0.375921i | ||||
\(156\) | −0.697057 | − | 0.805664i | −0.0558092 | − | 0.0645048i | ||||
\(157\) | 9.57236 | + | 2.03467i | 0.763958 | + | 0.162384i | 0.573382 | − | 0.819288i | \(-0.305631\pi\) |
0.190576 | + | 0.981672i | \(0.438965\pi\) | |||||||
\(158\) | −15.1249 | − | 16.7979i | −1.20327 | − | 1.33637i | ||||
\(159\) | 4.76920 | + | 8.65145i | 0.378222 | + | 0.686105i | ||||
\(160\) | 0.134876 | − | 1.28326i | 0.0106629 | − | 0.101450i | ||||
\(161\) | −0.993219 | + | 3.05681i | −0.0782766 | + | 0.240911i | ||||
\(162\) | 8.46427 | + | 11.0449i | 0.665016 | + | 0.867769i | ||||
\(163\) | −3.74555 | + | 2.72130i | −0.293374 | + | 0.213149i | −0.724730 | − | 0.689033i | \(-0.758035\pi\) |
0.431355 | + | 0.902182i | \(0.358035\pi\) | |||||||
\(164\) | 0.225364 | + | 0.390342i | 0.0175980 | + | 0.0304806i | ||||
\(165\) | 2.07049 | + | 2.69808i | 0.161187 | + | 0.210045i | ||||
\(166\) | 5.37515 | − | 9.31002i | 0.417192 | − | 0.722598i | ||||
\(167\) | 1.77566 | + | 16.8943i | 0.137405 | + | 1.30732i | 0.818236 | + | 0.574882i | \(0.194952\pi\) |
−0.680831 | + | 0.732440i | \(0.738381\pi\) | |||||||
\(168\) | −2.86716 | + | 1.20914i | −0.221206 | + | 0.0932874i | ||||
\(169\) | 10.2896 | − | 2.18712i | 0.791509 | − | 0.168240i | ||||
\(170\) | −3.40058 | − | 2.47066i | −0.260812 | − | 0.189491i | ||||
\(171\) | −0.489905 | − | 7.50984i | −0.0374640 | − | 0.574292i | ||||
\(172\) | −0.508616 | + | 1.56536i | −0.0387816 | + | 0.119357i | ||||
\(173\) | −0.395493 | + | 0.439240i | −0.0300688 | + | 0.0333948i | −0.757992 | − | 0.652264i | \(-0.773819\pi\) |
0.727923 | + | 0.685659i | \(0.240486\pi\) | |||||||
\(174\) | 6.12568 | − | 17.6562i | 0.464386 | − | 1.33851i | ||||
\(175\) | 1.67835 | − | 2.90699i | 0.126872 | − | 0.219748i | ||||
\(176\) | −3.87893 | − | 14.8530i | −0.292385 | − | 1.11959i | ||||
\(177\) | −10.1377 | + | 7.06327i | −0.761996 | + | 0.530908i | ||||
\(178\) | 17.6280 | + | 7.84848i | 1.32127 | + | 0.588268i | ||||
\(179\) | −2.97921 | − | 9.16907i | −0.222677 | − | 0.685328i | −0.998519 | − | 0.0544017i | \(-0.982675\pi\) |
0.775842 | − | 0.630927i | \(-0.217325\pi\) | |||||||
\(180\) | −0.544590 | − | 0.429591i | −0.0405913 | − | 0.0320198i | ||||
\(181\) | 3.85243 | + | 2.79896i | 0.286349 | + | 0.208045i | 0.721682 | − | 0.692225i | \(-0.243369\pi\) |
−0.435333 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(182\) | 0.183764 | − | 1.74840i | 0.0136215 | − | 0.129600i | ||||
\(183\) | −7.68979 | − | 1.79425i | −0.568446 | − | 0.132635i | ||||
\(184\) | −10.8365 | − | 2.30336i | −0.798875 | − | 0.169806i | ||||
\(185\) | −0.178950 | − | 1.70260i | −0.0131567 | − | 0.125178i | ||||
\(186\) | −22.1308 | − | 10.3827i | −1.62271 | − | 0.761300i | ||||
\(187\) | −14.6857 | − | 4.03514i | −1.07392 | − | 0.295079i | ||||
\(188\) | −0.0888691 | −0.00648144 | ||||||||
\(189\) | −0.612785 | + | 3.70098i | −0.0445735 | + | 0.269206i | ||||
\(190\) | 0.709589 | + | 2.18389i | 0.0514790 | + | 0.158436i | ||||
\(191\) | 5.08444 | − | 1.08073i | 0.367897 | − | 0.0781989i | −0.0202537 | − | 0.999795i | \(-0.506447\pi\) |
0.388151 | + | 0.921596i | \(0.373114\pi\) | |||||||
\(192\) | −4.92284 | − | 8.93016i | −0.355275 | − | 0.644479i | ||||
\(193\) | 2.98551 | − | 1.32923i | 0.214902 | − | 0.0956804i | −0.296463 | − | 0.955044i | \(-0.595807\pi\) |
0.511364 | + | 0.859364i | \(0.329140\pi\) | |||||||
\(194\) | 14.6706 | + | 16.2934i | 1.05329 | + | 1.16980i | ||||
\(195\) | −1.48810 | + | 0.627563i | −0.106565 | + | 0.0449407i | ||||
\(196\) | −2.31146 | − | 1.02913i | −0.165105 | − | 0.0735093i | ||||
\(197\) | −22.4626 | −1.60039 | −0.800197 | − | 0.599737i | \(-0.795272\pi\) | ||||
−0.800197 | + | 0.599737i | \(0.795272\pi\) | |||||||
\(198\) | −14.6612 | − | 4.65967i | −1.04193 | − | 0.331148i | ||||
\(199\) | −20.8291 | −1.47654 | −0.738269 | − | 0.674507i | \(-0.764356\pi\) | ||||
−0.738269 | + | 0.674507i | \(0.764356\pi\) | |||||||
\(200\) | 10.5698 | + | 4.70596i | 0.747394 | + | 0.332761i | ||||
\(201\) | 11.1730 | + | 8.46040i | 0.788079 | + | 0.596751i | ||||
\(202\) | −14.8652 | − | 16.5095i | −1.04591 | − | 1.16160i | ||||
\(203\) | 4.60264 | − | 2.04923i | 0.323042 | − | 0.143828i | ||||
\(204\) | 3.10557 | + | 0.0614624i | 0.217433 | + | 0.00430323i | ||||
\(205\) | 0.668344 | − | 0.142061i | 0.0466792 | − | 0.00992197i | ||||
\(206\) | −2.11603 | − | 6.51246i | −0.147431 | − | 0.453745i | ||||
\(207\) | −9.32262 | + | 9.56406i | −0.647967 | + | 0.664748i | ||||
\(208\) | 7.28981 | 0.505457 | ||||||||
\(209\) | 5.19483 | + | 6.49904i | 0.359334 | + | 0.449548i | ||||
\(210\) | −0.0970972 | − | 1.14049i | −0.00670034 | − | 0.0787015i | ||||
\(211\) | −0.354563 | − | 3.37344i | −0.0244091 | − | 0.232237i | −0.999924 | − | 0.0123051i | \(-0.996083\pi\) |
0.975515 | − | 0.219932i | \(-0.0705836\pi\) | |||||||
\(212\) | 2.17880 | + | 0.463117i | 0.149640 | + | 0.0318070i | ||||
\(213\) | −14.5769 | + | 15.5588i | −0.998794 | + | 1.06607i | ||||
\(214\) | 2.54454 | − | 24.2096i | 0.173941 | − | 1.65494i | ||||
\(215\) | 2.01858 | + | 1.46659i | 0.137666 | + | 0.100020i | ||||
\(216\) | −12.9076 | − | 0.767165i | −0.878249 | − | 0.0521989i | ||||
\(217\) | −2.03646 | − | 6.26759i | −0.138244 | − | 0.425472i | ||||
\(218\) | −19.3466 | − | 8.61366i | −1.31032 | − | 0.583390i | ||||
\(219\) | 24.2787 | + | 11.3905i | 1.64061 | + | 0.769696i | ||||
\(220\) | 0.765519 | + | 0.0449957i | 0.0516113 | + | 0.00303361i | ||||
\(221\) | 3.61612 | − | 6.26330i | 0.243247 | − | 0.421315i | ||||
\(222\) | 5.06681 | + | 5.85626i | 0.340062 | + | 0.393047i | ||||
\(223\) | −7.37810 | + | 8.19420i | −0.494074 | + | 0.548725i | −0.937681 | − | 0.347497i | \(-0.887032\pi\) |
0.443607 | + | 0.896221i | \(0.353698\pi\) | |||||||
\(224\) | −0.486232 | + | 1.49647i | −0.0324877 | + | 0.0999870i | ||||
\(225\) | 11.6001 | − | 7.74581i | 0.773342 | − | 0.516387i | ||||
\(226\) | −10.0445 | − | 7.29775i | −0.668150 | − | 0.485439i | ||||
\(227\) | 5.83650 | − | 1.24059i | 0.387382 | − | 0.0823406i | −0.0101037 | − | 0.999949i | \(-0.503216\pi\) |
0.397486 | + | 0.917608i | \(0.369883\pi\) | |||||||
\(228\) | −1.35281 | − | 1.02438i | −0.0895923 | − | 0.0678412i | ||||
\(229\) | −2.58715 | − | 24.6151i | −0.170964 | − | 1.62661i | −0.657852 | − | 0.753147i | \(-0.728535\pi\) |
0.486889 | − | 0.873464i | \(-0.338132\pi\) | |||||||
\(230\) | 2.03760 | − | 3.52922i | 0.134355 | − | 0.232710i | ||||
\(231\) | −1.78561 | − | 3.74321i | −0.117484 | − | 0.246285i | ||||
\(232\) | 8.68297 | + | 15.0393i | 0.570065 | + | 0.987381i | ||||
\(233\) | −3.38850 | + | 2.46189i | −0.221988 | + | 0.161284i | −0.693221 | − | 0.720725i | \(-0.743809\pi\) |
0.471233 | + | 0.882009i | \(0.343809\pi\) | |||||||
\(234\) | 3.90013 | − | 6.17712i | 0.254959 | − | 0.403811i | ||||
\(235\) | −0.0416308 | + | 0.128126i | −0.00271569 | + | 0.00835805i | ||||
\(236\) | −0.291208 | + | 2.77066i | −0.0189560 | + | 0.180355i | ||||
\(237\) | 13.0923 | − | 21.6745i | 0.850439 | − | 1.40791i | ||||
\(238\) | 3.42980 | + | 3.80917i | 0.222321 | + | 0.246912i | ||||
\(239\) | 7.21173 | + | 1.53290i | 0.466488 | + | 0.0991551i | 0.435158 | − | 0.900354i | \(-0.356692\pi\) |
0.0313298 | + | 0.999509i | \(0.490026\pi\) | |||||||
\(240\) | 4.66116 | − | 0.894747i | 0.300876 | − | 0.0577556i | ||||
\(241\) | 4.41462 | + | 7.64634i | 0.284371 | + | 0.492544i | 0.972456 | − | 0.233085i | \(-0.0748821\pi\) |
−0.688086 | + | 0.725629i | \(0.741549\pi\) | |||||||
\(242\) | 16.2405 | − | 5.04975i | 1.04398 | − | 0.324610i | ||||
\(243\) | −9.08965 | + | 12.6641i | −0.583101 | + | 0.812399i | ||||
\(244\) | −1.44041 | + | 1.04652i | −0.0922129 | + | 0.0669966i | ||||
\(245\) | −2.56655 | + | 2.85044i | −0.163971 | + | 0.182108i | ||||
\(246\) | −2.11314 | + | 2.25548i | −0.134729 | + | 0.143804i | ||||
\(247\) | −3.60938 | + | 1.60700i | −0.229659 | + | 0.102251i | ||||
\(248\) | 20.7513 | − | 9.23908i | 1.31771 | − | 0.586682i | ||||
\(249\) | 11.7279 | + | 2.73647i | 0.743228 | + | 0.173417i | ||||
\(250\) | −5.91029 | + | 6.56404i | −0.373799 | + | 0.415146i | ||||
\(251\) | −16.6439 | + | 12.0925i | −1.05056 | + | 0.763274i | −0.972318 | − | 0.233661i | \(-0.924930\pi\) |
−0.0782385 | + | 0.996935i | \(0.524930\pi\) | |||||||
\(252\) | 0.540668 | + | 0.650489i | 0.0340589 | + | 0.0409770i | ||||
\(253\) | 2.40242 | − | 14.5689i | 0.151039 | − | 0.915936i | ||||
\(254\) | 9.27397 | + | 16.0630i | 0.581901 | + | 1.00788i | ||||
\(255\) | 1.54342 | − | 4.44864i | 0.0966527 | − | 0.278585i | ||||
\(256\) | −8.84127 | − | 1.87927i | −0.552579 | − | 0.117454i | ||||
\(257\) | −2.26326 | − | 2.51360i | −0.141178 | − | 0.156794i | 0.668409 | − | 0.743794i | \(-0.266976\pi\) |
−0.809587 | + | 0.587000i | \(0.800309\pi\) | |||||||
\(258\) | −11.2841 | − | 0.223324i | −0.702518 | − | 0.0139036i | ||||
\(259\) | −0.218220 | + | 2.07623i | −0.0135595 | + | 0.129010i | ||||
\(260\) | −0.112528 | + | 0.346326i | −0.00697871 | + | 0.0214783i | ||||
\(261\) | 20.9195 | + | 0.828361i | 1.29488 | + | 0.0512742i | ||||
\(262\) | 8.61973 | − | 6.26260i | 0.532528 | − | 0.386905i | ||||
\(263\) | 7.14112 | + | 12.3688i | 0.440341 | + | 0.762692i | 0.997715 | − | 0.0675692i | \(-0.0215244\pi\) |
−0.557374 | + | 0.830262i | \(0.688191\pi\) | |||||||
\(264\) | 12.1882 | − | 7.46964i | 0.750133 | − | 0.459724i | ||||
\(265\) | 1.68836 | − | 2.92432i | 0.103715 | − | 0.179639i | ||||
\(266\) | −0.292699 | − | 2.78485i | −0.0179465 | − | 0.170750i | ||||
\(267\) | −2.68448 | + | 21.4491i | −0.164288 | + | 1.31267i | ||||
\(268\) | 3.09095 | − | 0.657003i | 0.188810 | − | 0.0401328i | ||||
\(269\) | −5.43693 | − | 3.95016i | −0.331495 | − | 0.240845i | 0.409570 | − | 0.912279i | \(-0.365679\pi\) |
−0.741065 | + | 0.671433i | \(0.765679\pi\) | |||||||
\(270\) | 1.73559 | − | 4.42840i | 0.105625 | − | 0.269504i | ||||
\(271\) | −1.23000 | + | 3.78554i | −0.0747170 | + | 0.229955i | −0.981439 | − | 0.191773i | \(-0.938576\pi\) |
0.906722 | + | 0.421728i | \(0.138576\pi\) | |||||||
\(272\) | −14.2219 | + | 15.7951i | −0.862331 | + | 0.957716i | ||||
\(273\) | 1.93411 | − | 0.371268i | 0.117058 | − | 0.0224702i | ||||
\(274\) | −7.14821 | + | 12.3811i | −0.431839 | + | 0.747968i | ||||
\(275\) | −5.61758 | + | 14.3610i | −0.338753 | + | 0.866002i | ||||
\(276\) | 0.255461 | + | 3.00062i | 0.0153769 | + | 0.180616i | ||||
\(277\) | −11.9967 | − | 5.34127i | −0.720811 | − | 0.320926i | 0.0133410 | − | 0.999911i | \(-0.495753\pi\) |
−0.734152 | + | 0.678985i | \(0.762420\pi\) | |||||||
\(278\) | 10.3255 | + | 31.7786i | 0.619282 | + | 1.90595i | ||||
\(279\) | 3.93783 | − | 27.1001i | 0.235751 | − | 1.62244i | ||||
\(280\) | 0.860476 | + | 0.625172i | 0.0514233 | + | 0.0373612i | ||||
\(281\) | 0.310227 | − | 2.95161i | 0.0185066 | − | 0.176078i | −0.981364 | − | 0.192157i | \(-0.938452\pi\) |
0.999871 | + | 0.0160790i | \(0.00511831\pi\) | |||||||
\(282\) | −0.176807 | − | 0.583178i | −0.0105287 | − | 0.0347277i | ||||
\(283\) | −7.91593 | − | 1.68258i | −0.470553 | − | 0.100019i | −0.0334689 | − | 0.999440i | \(-0.510655\pi\) |
−0.437084 | + | 0.899421i | \(0.643989\pi\) | |||||||
\(284\) | 0.502499 | + | 4.78096i | 0.0298178 | + | 0.283697i | ||||
\(285\) | −2.11062 | + | 1.47054i | −0.125022 | + | 0.0871072i | ||||
\(286\) | 0.371456 | + | 8.06780i | 0.0219646 | + | 0.477059i | ||||
\(287\) | −0.833217 | −0.0491833 | ||||||||
\(288\) | −4.56391 | + | 4.68210i | −0.268931 | + | 0.275896i | ||||
\(289\) | 1.26279 | + | 3.88648i | 0.0742820 | + | 0.228616i | ||||
\(290\) | −6.24837 | + | 1.32813i | −0.366917 | + | 0.0779906i | ||||
\(291\) | −12.6991 | + | 21.0235i | −0.744436 | + | 1.23242i | ||||
\(292\) | 5.52405 | − | 2.45947i | 0.323271 | − | 0.143929i | ||||
\(293\) | −10.5158 | − | 11.6789i | −0.614338 | − | 0.682292i | 0.353046 | − | 0.935606i | \(-0.385146\pi\) |
−0.967384 | + | 0.253314i | \(0.918479\pi\) | |||||||
\(294\) | 2.15465 | − | 17.2158i | 0.125662 | − | 1.00405i | ||||
\(295\) | 3.85817 | + | 1.71777i | 0.224631 | + | 0.100012i | ||||
\(296\) | −7.19584 | −0.418249 | ||||||||
\(297\) | 0.230168 | − | 17.2322i | 0.0133557 | − | 0.999911i | ||||
\(298\) | −1.77254 | −0.102681 | ||||||||
\(299\) | 6.40554 | + | 2.85193i | 0.370442 | + | 0.164931i | ||||
\(300\) | 0.390576 | − | 3.12072i | 0.0225499 | − | 0.180175i | ||||
\(301\) | −2.03593 | − | 2.26113i | −0.117349 | − | 0.130329i | ||||
\(302\) | 1.24387 | − | 0.553809i | 0.0715769 | − | 0.0318681i | ||||
\(303\) | 12.8676 | − | 21.3024i | 0.739222 | − | 1.22379i | ||||
\(304\) | 11.3575 | − | 2.41410i | 0.651395 | − | 0.138458i | ||||
\(305\) | 0.834052 | + | 2.56695i | 0.0477577 | + | 0.146983i | ||||
\(306\) | 5.77528 | + | 20.5017i | 0.330151 | + | 1.17200i | ||||
\(307\) | −3.51315 | −0.200506 | −0.100253 | − | 0.994962i | \(-0.531965\pi\) | ||||
−0.100253 | + | 0.994962i | \(0.531965\pi\) | |||||||
\(308\) | −0.901701 | − | 0.247758i | −0.0513792 | − | 0.0141173i | ||||
\(309\) | 6.29397 | − | 4.38522i | 0.358051 | − | 0.249466i | ||||
\(310\) | 0.873403 | + | 8.30987i | 0.0496060 | + | 0.471969i | ||||
\(311\) | −25.7589 | − | 5.47523i | −1.46066 | − | 0.310472i | −0.592020 | − | 0.805923i | \(-0.701669\pi\) |
−0.868636 | + | 0.495451i | \(0.835003\pi\) | |||||||
\(312\) | 1.96954 | + | 6.49628i | 0.111503 | + | 0.367780i | ||||
\(313\) | 0.257259 | − | 2.44766i | 0.0145412 | − | 0.138350i | −0.984843 | − | 0.173450i | \(-0.944508\pi\) |
0.999384 | + | 0.0351004i | \(0.0111751\pi\) | |||||||
\(314\) | 12.2411 | + | 8.89367i | 0.690805 | + | 0.501899i | ||||
\(315\) | 1.19112 | − | 0.474783i | 0.0671117 | − | 0.0267510i | ||||
\(316\) | −1.76433 | − | 5.43005i | −0.0992513 | − | 0.305464i | ||||
\(317\) | −24.2155 | − | 10.7814i | −1.36008 | − | 0.605545i | −0.408444 | − | 0.912783i | \(-0.633929\pi\) |
−0.951633 | + | 0.307238i | \(0.900595\pi\) | |||||||
\(318\) | 1.29569 | + | 15.2191i | 0.0726589 | + | 0.853444i | ||||
\(319\) | −19.4911 | + | 12.4824i | −1.09129 | + | 0.698880i | ||||
\(320\) | −1.74274 | + | 3.01852i | −0.0974224 | + | 0.168741i | ||||
\(321\) | 26.7812 | − | 5.14086i | 1.49478 | − | 0.286935i | ||||
\(322\) | −3.32523 | + | 3.69304i | −0.185308 | + | 0.205805i | ||||
\(323\) | 3.55972 | − | 10.9557i | 0.198068 | − | 0.609591i | ||||
\(324\) | 0.818425 | + | 3.41823i | 0.0454681 | + | 0.189902i | ||||
\(325\) | −5.92427 | − | 4.30423i | −0.328619 | − | 0.238756i | ||||
\(326\) | −7.00182 | + | 1.48828i | −0.387795 | + | 0.0824283i | ||||
\(327\) | 2.94620 | − | 23.5403i | 0.162925 | − | 1.30178i | ||||
\(328\) | −0.300202 | − | 2.85623i | −0.0165759 | − | 0.157709i | ||||
\(329\) | 0.0821419 | − | 0.142274i | 0.00452863 | − | 0.00784382i | ||||
\(330\) | 1.22775 | + | 5.11302i | 0.0675853 | + | 0.281462i | ||||
\(331\) | −4.05198 | − | 7.01824i | −0.222717 | − | 0.385757i | 0.732915 | − | 0.680320i | \(-0.238159\pi\) |
−0.955632 | + | 0.294563i | \(0.904826\pi\) | |||||||
\(332\) | 2.19681 | − | 1.59608i | 0.120566 | − | 0.0875962i | ||||
\(333\) | −4.63141 | + | 7.33534i | −0.253799 | + | 0.401974i | ||||
\(334\) | −8.11627 | + | 24.9793i | −0.444103 | + | 1.36681i | ||||
\(335\) | 0.500731 | − | 4.76414i | 0.0273579 | − | 0.260293i | ||||
\(336\) | −5.78667 | − | 0.114524i | −0.315689 | − | 0.00624781i | ||||
\(337\) | 16.5413 | + | 18.3710i | 0.901064 | + | 1.00073i | 0.999984 | + | 0.00563738i | \(0.00179444\pi\) |
−0.0989203 | + | 0.995095i | \(0.531539\pi\) | |||||||
\(338\) | 15.9091 | + | 3.38159i | 0.865343 | + | 0.183934i | ||||
\(339\) | 4.55889 | − | 13.1402i | 0.247605 | − | 0.713679i | ||||
\(340\) | −0.530861 | − | 0.919478i | −0.0287900 | − | 0.0498657i | ||||
\(341\) | 13.5730 | + | 27.0619i | 0.735017 | + | 1.46549i | ||||
\(342\) | 4.03074 | − | 10.9155i | 0.217957 | − | 0.590241i | ||||
\(343\) | 7.87256 | − | 5.71975i | 0.425078 | − | 0.308837i | ||||
\(344\) | 7.01752 | − | 7.79374i | 0.378359 | − | 0.420210i | ||||
\(345\) | 4.44579 | + | 1.03733i | 0.239354 | + | 0.0558482i | ||||
\(346\) | −0.834846 | + | 0.371697i | −0.0448816 | + | 0.0199826i | ||||
\(347\) | −1.89071 | + | 0.841800i | −0.101499 | + | 0.0451902i | −0.456858 | − | 0.889540i | \(-0.651025\pi\) |
0.355359 | + | 0.934730i | \(0.384359\pi\) | |||||||
\(348\) | 3.22747 | − | 3.44487i | 0.173010 | − | 0.184665i | ||||
\(349\) | −3.48902 | + | 3.87495i | −0.186763 | + | 0.207422i | −0.829254 | − | 0.558872i | \(-0.811234\pi\) |
0.642491 | + | 0.766293i | \(0.277901\pi\) | |||||||
\(350\) | 4.19874 | − | 3.05056i | 0.224432 | − | 0.163059i | ||||
\(351\) | 7.88987 | + | 2.17344i | 0.421130 | + | 0.116009i | ||||
\(352\) | 1.17611 | − | 7.13221i | 0.0626868 | − | 0.380148i | ||||
\(353\) | −10.8363 | − | 18.7689i | −0.576756 | − | 0.998970i | −0.995848 | − | 0.0910266i | \(-0.970985\pi\) |
0.419093 | − | 0.907943i | \(-0.362348\pi\) | |||||||
\(354\) | −18.7610 | + | 3.60133i | −0.997138 | + | 0.191409i | ||||
\(355\) | 7.12831 | + | 1.51517i | 0.378331 | + | 0.0804168i | ||||
\(356\) | 3.26136 | + | 3.62211i | 0.172852 | + | 0.191971i | ||||
\(357\) | −2.96888 | + | 4.91501i | −0.157130 | + | 0.260130i | ||||
\(358\) | 1.55812 | − | 14.8245i | 0.0823493 | − | 0.783501i | ||||
\(359\) | 2.70478 | − | 8.32446i | 0.142753 | − | 0.439348i | −0.853962 | − | 0.520335i | \(-0.825807\pi\) |
0.996715 | + | 0.0809868i | \(0.0258072\pi\) | |||||||
\(360\) | 2.05669 | + | 3.91203i | 0.108397 | + | 0.206182i | ||||
\(361\) | 10.2801 | − | 7.46894i | 0.541059 | − | 0.393102i | ||||
\(362\) | 3.68125 | + | 6.37611i | 0.193482 | + | 0.335121i | ||||
\(363\) | 10.6922 | + | 15.7695i | 0.561195 | + | 0.827684i | ||||
\(364\) | 0.222030 | − | 0.384567i | 0.0116375 | − | 0.0201568i | ||||
\(365\) | −0.958173 | − | 9.11641i | −0.0501531 | − | 0.477175i | ||||
\(366\) | −9.73322 | − | 7.37020i | −0.508763 | − | 0.385247i | ||||
\(367\) | 6.61837 | − | 1.40678i | 0.345476 | − | 0.0734332i | −0.0319060 | − | 0.999491i | \(-0.510158\pi\) |
0.377382 | + | 0.926058i | \(0.376824\pi\) | |||||||
\(368\) | −16.6709 | − | 12.1121i | −0.869029 | − | 0.631387i | ||||
\(369\) | −3.10482 | − | 1.53232i | −0.161631 | − | 0.0797692i | ||||
\(370\) | 0.817952 | − | 2.51740i | 0.0425233 | − | 0.130873i | ||||
\(371\) | −2.75529 | + | 3.06006i | −0.143047 | + | 0.158870i | ||||
\(372\) | −4.04003 | − | 4.66950i | −0.209466 | − | 0.242102i | ||||
\(373\) | 10.9467 | − | 18.9602i | 0.566797 | − | 0.981722i | −0.430083 | − | 0.902790i | \(-0.641516\pi\) |
0.996880 | − | 0.0789323i | \(-0.0251511\pi\) | |||||||
\(374\) | −18.2054 | − | 14.9349i | −0.941380 | − | 0.772265i | ||||
\(375\) | −8.95802 | − | 4.20269i | −0.462590 | − | 0.217026i | ||||
\(376\) | 0.517304 | + | 0.230319i | 0.0266779 | + | 0.0118778i | ||||
\(377\) | −3.39643 | − | 10.4531i | −0.174925 | − | 0.538364i | ||||
\(378\) | −3.19297 | + | 4.84214i | −0.164229 | + | 0.249053i | ||||
\(379\) | 27.3639 | + | 19.8810i | 1.40559 | + | 1.02122i | 0.993946 | + | 0.109873i | \(0.0350445\pi\) |
0.411642 | + | 0.911346i | \(0.364955\pi\) | |||||||
\(380\) | −0.0606282 | + | 0.576839i | −0.00311016 | + | 0.0295912i | ||||
\(381\) | −14.2062 | + | 15.1631i | −0.727804 | + | 0.776829i | ||||
\(382\) | 7.86123 | + | 1.67096i | 0.402216 | + | 0.0854936i | ||||
\(383\) | 1.92059 | + | 18.2732i | 0.0981378 | + | 0.933719i | 0.927201 | + | 0.374564i | \(0.122208\pi\) |
−0.829063 | + | 0.559155i | \(0.811126\pi\) | |||||||
\(384\) | −1.97789 | − | 23.2321i | −0.100934 | − | 1.18556i | ||||
\(385\) | −0.779606 | + | 1.18396i | −0.0397324 | + | 0.0603402i | ||||
\(386\) | 5.05284 | 0.257183 | ||||||||
\(387\) | −3.42821 | − | 12.1698i | −0.174265 | − | 0.618626i | ||||
\(388\) | 1.71134 | + | 5.26696i | 0.0868801 | + | 0.267390i | ||||
\(389\) | 30.1333 | − | 6.40504i | 1.52782 | − | 0.324748i | 0.634057 | − | 0.773286i | \(-0.281388\pi\) |
0.893764 | + | 0.448538i | \(0.148055\pi\) | |||||||
\(390\) | −2.49654 | − | 0.0494092i | −0.126417 | − | 0.00250193i | ||||
\(391\) | −18.6761 | + | 8.31516i | −0.944493 | + | 0.420516i | ||||
\(392\) | 10.7878 | + | 11.9811i | 0.544867 | + | 0.605136i | ||||
\(393\) | 9.51549 | + | 7.20534i | 0.479993 | + | 0.363461i | ||||
\(394\) | −31.7277 | − | 14.1261i | −1.59842 | − | 0.711661i | ||||
\(395\) | −8.65524 | −0.435493 | ||||||||
\(396\) | −2.90438 | − | 2.58148i | −0.145951 | − | 0.129724i | ||||
\(397\) | −8.29578 | −0.416353 | −0.208177 | − | 0.978091i | \(-0.566753\pi\) | ||||
−0.208177 | + | 0.978091i | \(0.566753\pi\) | |||||||
\(398\) | −29.4204 | − | 13.0988i | −1.47471 | − | 0.656584i | ||||
\(399\) | 2.89038 | − | 1.21894i | 0.144700 | − | 0.0610231i | ||||
\(400\) | 14.4000 | + | 15.9928i | 0.720000 | + | 0.799641i | ||||
\(401\) | −3.59354 | + | 1.59995i | −0.179453 | + | 0.0798976i | −0.494497 | − | 0.869180i | \(-0.664648\pi\) |
0.315044 | + | 0.949077i | \(0.397981\pi\) | |||||||
\(402\) | 10.4609 | + | 18.9764i | 0.521743 | + | 0.946455i | ||||
\(403\) | −14.0625 | + | 2.98907i | −0.700503 | + | 0.148896i | ||||
\(404\) | −1.73404 | − | 5.33682i | −0.0862716 | − | 0.265517i | ||||
\(405\) | 5.31160 | + | 0.421314i | 0.263936 | + | 0.0209353i | ||||
\(406\) | 7.78977 | 0.386600 | ||||||||
\(407\) | −0.441104 | − | 9.58052i | −0.0218647 | − | 0.474889i | ||||
\(408\) | −17.9181 | − | 8.40636i | −0.887080 | − | 0.416177i | ||||
\(409\) | 0.261766 | + | 2.49054i | 0.0129435 | + | 0.123149i | 0.999086 | − | 0.0427534i | \(-0.0136130\pi\) |
−0.986142 | + | 0.165902i | \(0.946946\pi\) | |||||||
\(410\) | 1.03335 | + | 0.219646i | 0.0510336 | + | 0.0108475i | ||||
\(411\) | −15.5966 | − | 3.63913i | −0.769322 | − | 0.179505i | ||||
\(412\) | 0.180796 | − | 1.72016i | 0.00890719 | − | 0.0847462i | ||||
\(413\) | −4.16650 | − | 3.02714i | −0.205020 | − | 0.148956i | ||||
\(414\) | −19.1824 | + | 7.64619i | −0.942766 | + | 0.375790i | ||||
\(415\) | −1.27204 | − | 3.91493i | −0.0624419 | − | 0.192176i | ||||
\(416\) | 3.13585 | + | 1.39617i | 0.153747 | + | 0.0684528i | ||||
\(417\) | −30.7124 | + | 21.3984i | −1.50399 | + | 1.04788i | ||||
\(418\) | 3.25047 | + | 12.4466i | 0.158986 | + | 0.608781i | ||||
\(419\) | −5.36970 | + | 9.30060i | −0.262327 | + | 0.454364i | −0.966860 | − | 0.255307i | \(-0.917823\pi\) |
0.704533 | + | 0.709672i | \(0.251157\pi\) | |||||||
\(420\) | 0.0947660 | − | 0.273147i | 0.00462411 | − | 0.0133282i | ||||
\(421\) | 14.8463 | − | 16.4885i | 0.723564 | − | 0.803600i | −0.263375 | − | 0.964694i | \(-0.584836\pi\) |
0.986939 | + | 0.161094i | \(0.0515022\pi\) | |||||||
\(422\) | 1.62065 | − | 4.98785i | 0.0788920 | − | 0.242805i | ||||
\(423\) | 0.567733 | − | 0.379095i | 0.0276041 | − | 0.0184322i | ||||
\(424\) | −11.4825 | − | 8.34249i | −0.557637 | − | 0.405147i | ||||
\(425\) | 20.8839 | − | 4.43902i | 1.01302 | − | 0.215324i | ||||
\(426\) | −30.3739 | + | 12.8093i | −1.47162 | + | 0.620614i | ||||
\(427\) | −0.344039 | − | 3.27331i | −0.0166492 | − | 0.158407i | ||||
\(428\) | 3.07440 | − | 5.32501i | 0.148606 | − | 0.257394i | ||||
\(429\) | −8.52841 | + | 3.02046i | −0.411755 | + | 0.145829i | ||||
\(430\) | 1.92889 | + | 3.34093i | 0.0930192 | + | 0.161114i | ||||
\(431\) | 14.9330 | − | 10.8495i | 0.719297 | − | 0.522600i | −0.166862 | − | 0.985980i | \(-0.553364\pi\) |
0.886160 | + | 0.463380i | \(0.153364\pi\) | |||||||
\(432\) | −21.3523 | − | 11.0686i | −1.02731 | − | 0.532540i | ||||
\(433\) | 4.67130 | − | 14.3768i | 0.224488 | − | 0.690904i | −0.773855 | − | 0.633363i | \(-0.781674\pi\) |
0.998343 | − | 0.0575408i | \(-0.0183259\pi\) | |||||||
\(434\) | 1.06507 | − | 10.1334i | 0.0511249 | − | 0.486420i | ||||
\(435\) | −3.45471 | − | 6.26694i | −0.165641 | − | 0.300477i | ||||
\(436\) | −3.57932 | − | 3.97524i | −0.171418 | − | 0.190379i | ||||
\(437\) | 10.9242 | + | 2.32202i | 0.522577 | + | 0.111077i | ||||
\(438\) | 27.1298 | + | 31.3568i | 1.29631 | + | 1.49829i | ||||
\(439\) | −11.9777 | − | 20.7459i | −0.571663 | − | 0.990150i | −0.996395 | − | 0.0848306i | \(-0.972965\pi\) |
0.424732 | − | 0.905319i | \(-0.360368\pi\) | |||||||
\(440\) | −4.33945 | − | 2.24589i | −0.206875 | − | 0.107068i | ||||
\(441\) | 19.1566 | − | 3.28566i | 0.912221 | − | 0.156460i | ||||
\(442\) | 9.04645 | − | 6.57263i | 0.430296 | − | 0.312628i | ||||
\(443\) | 17.0613 | − | 18.9485i | 0.810607 | − | 0.900270i | −0.186003 | − | 0.982549i | \(-0.559553\pi\) |
0.996609 | + | 0.0822794i | \(0.0262200\pi\) | |||||||
\(444\) | 0.567520 | + | 1.87190i | 0.0269333 | + | 0.0888363i | ||||
\(445\) | 6.74993 | − | 3.00526i | 0.319978 | − | 0.142463i | ||||
\(446\) | −15.5744 | + | 6.93417i | −0.737469 | + | 0.328342i | ||||
\(447\) | −0.576121 | − | 1.90027i | −0.0272496 | − | 0.0898795i | ||||
\(448\) | 2.84405 | − | 3.15864i | 0.134369 | − | 0.149231i | ||||
\(449\) | 18.1886 | − | 13.2148i | 0.858375 | − | 0.623646i | −0.0690672 | − | 0.997612i | \(-0.522002\pi\) |
0.927442 | + | 0.373966i | \(0.122002\pi\) | |||||||
\(450\) | 21.2559 | − | 3.64571i | 1.00201 | − | 0.171861i | ||||
\(451\) | 3.78438 | − | 0.574776i | 0.178200 | − | 0.0270651i | ||||
\(452\) | −1.56804 | − | 2.71592i | −0.0737542 | − | 0.127746i | ||||
\(453\) | 0.998005 | + | 1.15350i | 0.0468904 | + | 0.0541963i | ||||
\(454\) | 9.02402 | + | 1.91812i | 0.423518 | + | 0.0900216i | ||||
\(455\) | −0.450437 | − | 0.500261i | −0.0211168 | − | 0.0234526i | ||||
\(456\) | 5.21984 | + | 9.46892i | 0.244441 | + | 0.443423i | ||||
\(457\) | −2.26718 | + | 21.5708i | −0.106054 | + | 1.00904i | 0.804023 | + | 0.594598i | \(0.202689\pi\) |
−0.910077 | + | 0.414439i | \(0.863978\pi\) | |||||||
\(458\) | 11.8254 | − | 36.3950i | 0.552566 | − | 1.70062i | ||||
\(459\) | −20.1019 | + | 12.8550i | −0.938274 | + | 0.600019i | ||||
\(460\) | 0.832763 | − | 0.605037i | 0.0388278 | − | 0.0282100i | ||||
\(461\) | 6.05182 | + | 10.4821i | 0.281861 | + | 0.488198i | 0.971843 | − | 0.235629i | \(-0.0757149\pi\) |
−0.689982 | + | 0.723827i | \(0.742382\pi\) | |||||||
\(462\) | −0.168116 | − | 6.41007i | −0.00782146 | − | 0.298224i | ||||
\(463\) | −10.0154 | + | 17.3472i | −0.465455 | + | 0.806192i | −0.999222 | − | 0.0394398i | \(-0.987443\pi\) |
0.533767 | + | 0.845632i | \(0.320776\pi\) | |||||||
\(464\) | 3.37637 | + | 32.1240i | 0.156744 | + | 1.49132i | ||||
\(465\) | −8.62478 | + | 3.63726i | −0.399965 | + | 0.168674i | ||||
\(466\) | −6.33435 | + | 1.34641i | −0.293433 | + | 0.0623711i | ||||
\(467\) | −4.90871 | − | 3.56639i | −0.227148 | − | 0.165033i | 0.468390 | − | 0.883522i | \(-0.344834\pi\) |
−0.695538 | + | 0.718489i | \(0.744834\pi\) | |||||||
\(468\) | 1.53458 | − | 1.02470i | 0.0709362 | − | 0.0473666i | ||||
\(469\) | −1.80516 | + | 5.55570i | −0.0833543 | + | 0.256538i | ||||
\(470\) | −0.139377 | + | 0.154794i | −0.00642898 | + | 0.00714011i | ||||
\(471\) | −5.55586 | + | 16.0138i | −0.256001 | + | 0.737878i | ||||
\(472\) | 8.87574 | − | 15.3732i | 0.408539 | − | 0.707610i | ||||
\(473\) | 10.8067 | + | 8.86535i | 0.496895 | + | 0.407629i | ||||
\(474\) | 32.1230 | − | 22.3811i | 1.47546 | − | 1.02800i | ||||
\(475\) | −10.6553 | − | 4.74407i | −0.488901 | − | 0.217673i | ||||
\(476\) | 0.400088 | + | 1.23134i | 0.0183380 | + | 0.0564385i | ||||
\(477\) | −15.8946 | + | 6.33565i | −0.727764 | + | 0.290089i | ||||
\(478\) | 9.22233 | + | 6.70041i | 0.421819 | + | 0.306470i | ||||
\(479\) | −3.79154 | + | 36.0741i | −0.173240 | + | 1.64827i | 0.470046 | + | 0.882642i | \(0.344237\pi\) |
−0.643286 | + | 0.765626i | \(0.722429\pi\) | |||||||
\(480\) | 2.17645 | + | 0.507828i | 0.0993407 | + | 0.0231791i | ||||
\(481\) | 4.45480 | + | 0.946896i | 0.203121 | + | 0.0431747i | ||||
\(482\) | 1.42694 | + | 13.5764i | 0.0649953 | + | 0.618389i | ||||
\(483\) | −5.03993 | − | 2.36450i | −0.229325 | − | 0.107589i | ||||
\(484\) | 4.26634 | + | 0.503273i | 0.193924 | + | 0.0228760i | ||||
\(485\) | 8.39529 | 0.381211 | ||||||||
\(486\) | −20.8029 | + | 12.1713i | −0.943637 | + | 0.552103i | ||||
\(487\) | −2.68379 | − | 8.25986i | −0.121614 | − | 0.374290i | 0.871655 | − | 0.490120i | \(-0.163047\pi\) |
−0.993269 | + | 0.115830i | \(0.963047\pi\) | |||||||
\(488\) | 11.0968 | − | 2.35870i | 0.502329 | − | 0.106773i | ||||
\(489\) | −3.87129 | − | 7.02262i | −0.175066 | − | 0.317574i | ||||
\(490\) | −5.41772 | + | 2.41213i | −0.244748 | + | 0.108969i | ||||
\(491\) | −22.2133 | − | 24.6704i | −1.00247 | − | 1.11336i | −0.993549 | − | 0.113400i | \(-0.963826\pi\) |
−0.00892472 | − | 0.999960i | \(-0.502841\pi\) | |||||||
\(492\) | −0.719333 | + | 0.303358i | −0.0324300 | + | 0.0136764i | ||||
\(493\) | 29.2753 | + | 13.0342i | 1.31849 | + | 0.587032i | ||||
\(494\) | −6.10872 | −0.274844 | ||||||||
\(495\) | −5.08240 | + | 2.97808i | −0.228437 | + | 0.133855i | ||||
\(496\) | 42.2506 | 1.89711 | ||||||||
\(497\) | −8.11848 | − | 3.61458i | −0.364163 | − | 0.162136i | ||||
\(498\) | 14.8444 | + | 11.2405i | 0.665195 | + | 0.503700i | ||||
\(499\) | 13.9694 | + | 15.5146i | 0.625355 | + | 0.694527i | 0.969695 | − | 0.244318i | \(-0.0785641\pi\) |
−0.344340 | + | 0.938845i | \(0.611897\pi\) | |||||||
\(500\) | −2.03818 | + | 0.907458i | −0.0911504 | + | 0.0405828i | ||||
\(501\) | −29.4172 | − | 0.582198i | −1.31427 | − | 0.0260107i | ||||
\(502\) | −31.1136 | + | 6.61341i | −1.38867 | + | 0.295171i | ||||
\(503\) | 7.20593 | + | 22.1776i | 0.321297 | + | 0.988850i | 0.973085 | + | 0.230448i | \(0.0740193\pi\) |
−0.651788 | + | 0.758401i | \(0.725981\pi\) | |||||||
\(504\) | −1.46137 | − | 5.18771i | −0.0650944 | − | 0.231079i | ||||
\(505\) | −8.50663 | −0.378540 | ||||||||
\(506\) | 12.5553 | − | 19.0672i | 0.558149 | − | 0.847641i | ||||
\(507\) | 1.54561 | + | 18.1546i | 0.0686431 | + | 0.806275i | ||||
\(508\) | 0.489718 | + | 4.65935i | 0.0217277 | + | 0.206725i | ||||
\(509\) | −6.33958 | − | 1.34752i | −0.280997 | − | 0.0597278i | 0.0652572 | − | 0.997868i | \(-0.479213\pi\) |
−0.346254 | + | 0.938141i | \(0.612547\pi\) | |||||||
\(510\) | 4.97765 | − | 5.31294i | 0.220414 | − | 0.235261i | ||||
\(511\) | −1.16844 | + | 11.1170i | −0.0516887 | + | 0.491785i | ||||
\(512\) | 10.4751 | + | 7.61063i | 0.462940 | + | 0.336346i | ||||
\(513\) | 13.0121 | + | 0.773377i | 0.574499 | + | 0.0341454i | ||||
\(514\) | −1.61605 | − | 4.97368i | −0.0712807 | − | 0.219379i | ||||
\(515\) | −2.39534 | − | 1.06647i | −0.105551 | − | 0.0469944i | ||||
\(516\) | −2.58089 | − | 1.21083i | −0.113617 | − | 0.0533040i | ||||
\(517\) | −0.274935 | + | 0.702856i | −0.0120916 | + | 0.0309116i | ||||
\(518\) | −1.61390 | + | 2.79537i | −0.0709109 | + | 0.122821i | ||||
\(519\) | −0.669827 | − | 0.774192i | −0.0294021 | − | 0.0339832i | ||||
\(520\) | 1.55258 | − | 1.72432i | 0.0680854 | − | 0.0756164i | ||||
\(521\) | −10.2625 | + | 31.5848i | −0.449610 | + | 1.38376i | 0.427738 | + | 0.903903i | \(0.359311\pi\) |
−0.877348 | + | 0.479855i | \(0.840689\pi\) | |||||||
\(522\) | 29.0271 | + | 14.3257i | 1.27048 | + | 0.627017i | ||||
\(523\) | 32.4728 | + | 23.5929i | 1.41994 | + | 1.03164i | 0.991782 | + | 0.127938i | \(0.0408359\pi\) |
0.428154 | + | 0.903706i | \(0.359164\pi\) | |||||||
\(524\) | 2.63242 | − | 0.559539i | 0.114998 | − | 0.0244436i | ||||
\(525\) | 4.63507 | + | 3.50978i | 0.202291 | + | 0.153179i | ||||
\(526\) | 2.30823 | + | 21.9613i | 0.100644 | + | 0.957560i | ||||
\(527\) | 20.9585 | − | 36.3011i | 0.912965 | − | 1.58130i | ||||
\(528\) | 26.3614 | − | 3.47164i | 1.14723 | − | 0.151084i | ||||
\(529\) | 1.58985 | + | 2.75370i | 0.0691240 | + | 0.119726i | ||||
\(530\) | 4.22376 | − | 3.06874i | 0.183468 | − | 0.133298i | ||||
\(531\) | −9.95864 | − | 18.9424i | −0.432168 | − | 0.822029i | ||||
\(532\) | 0.218567 | − | 0.672680i | 0.00947608 | − | 0.0291644i | ||||
\(533\) | −0.190001 | + | 1.80774i | −0.00822986 | + | 0.0783019i | ||||
\(534\) | −17.2805 | + | 28.6080i | −0.747799 | + | 1.23799i | ||||
\(535\) | −6.23710 | − | 6.92700i | −0.269653 | − | 0.299480i | ||||
\(536\) | −19.6951 | − | 4.18632i | −0.850698 | − | 0.180821i | ||||
\(537\) | 16.3992 | − | 3.14795i | 0.707677 | − | 0.135844i | ||||
\(538\) | −5.19534 | − | 8.99859i | −0.223987 | − | 0.387957i | ||||
\(539\) | −15.2903 | + | 15.0973i | −0.658599 | + | 0.650287i | ||||
\(540\) | 0.855454 | − | 0.843551i | 0.0368129 | − | 0.0363007i | ||||
\(541\) | −19.9410 | + | 14.4880i | −0.857332 | + | 0.622888i | −0.927158 | − | 0.374671i | \(-0.877756\pi\) |
0.0698260 | + | 0.997559i | \(0.477756\pi\) | |||||||
\(542\) | −4.11794 | + | 4.57344i | −0.176881 | + | 0.196446i | ||||
\(543\) | −5.63906 | + | 6.01891i | −0.241995 | + | 0.258296i | ||||
\(544\) | −9.14294 | + | 4.07070i | −0.392000 | + | 0.174530i | ||||
\(545\) | −7.40801 | + | 3.29826i | −0.317324 | + | 0.141282i | ||||
\(546\) | 2.96534 | + | 0.691901i | 0.126905 | + | 0.0296106i | ||||
\(547\) | 17.2103 | − | 19.1139i | 0.735858 | − | 0.817253i | −0.252787 | − | 0.967522i | \(-0.581347\pi\) |
0.988645 | + | 0.150269i | \(0.0480139\pi\) | |||||||
\(548\) | −2.92147 | + | 2.12257i | −0.124799 | + | 0.0906716i | ||||
\(549\) | 4.73774 | − | 12.8301i | 0.202202 | − | 0.547574i | ||||
\(550\) | −16.9659 | + | 16.7517i | −0.723427 | + | 0.714296i | ||||
\(551\) | −8.75329 | − | 15.1611i | −0.372902 | − | 0.645886i | ||||
\(552\) | 6.28956 | − | 18.1286i | 0.267701 | − | 0.771604i | ||||
\(553\) | 10.3240 | + | 2.19442i | 0.439019 | + | 0.0933164i | ||||
\(554\) | −13.5859 | − | 15.0887i | −0.577211 | − | 0.641058i | ||||
\(555\) | 2.96465 | + | 0.0586735i | 0.125842 | + | 0.00249055i | ||||
\(556\) | −0.882224 | + | 8.39380i | −0.0374146 | + | 0.355976i | ||||
\(557\) | 3.60979 | − | 11.1098i | 0.152952 | − | 0.470737i | −0.844996 | − | 0.534773i | \(-0.820397\pi\) |
0.997948 | + | 0.0640357i | \(0.0203972\pi\) | |||||||
\(558\) | 22.6045 | − | 35.8016i | 0.956925 | − | 1.51560i | ||||
\(559\) | −5.36998 | + | 3.90152i | −0.227126 | + | 0.165017i | ||||
\(560\) | 0.989164 | + | 1.71328i | 0.0417998 | + | 0.0723994i | ||||
\(561\) | 10.0938 | − | 24.3715i | 0.426162 | − | 1.02896i | ||||
\(562\) | 2.29436 | − | 3.97396i | 0.0967819 | − | 0.167631i | ||||
\(563\) | −0.848991 | − | 8.07761i | −0.0357807 | − | 0.340431i | −0.997738 | − | 0.0672292i | \(-0.978584\pi\) |
0.961957 | − | 0.273201i | \(-0.0880825\pi\) | |||||||
\(564\) | 0.0191155 | − | 0.152734i | 0.000804910 | − | 0.00643127i | ||||
\(565\) | −4.65021 | + | 0.988432i | −0.195636 | + | 0.0415836i | ||||
\(566\) | −10.1229 | − | 7.35468i | −0.425495 | − | 0.309140i | ||||
\(567\) | −6.22885 | − | 1.84923i | −0.261587 | − | 0.0776604i | ||||
\(568\) | 9.46559 | − | 29.1321i | 0.397167 | − | 1.22236i | ||||
\(569\) | −12.0488 | + | 13.3815i | −0.505111 | + | 0.560983i | −0.940733 | − | 0.339147i | \(-0.889862\pi\) |
0.435622 | + | 0.900129i | \(0.356528\pi\) | |||||||
\(570\) | −3.90596 | + | 0.749780i | −0.163603 | + | 0.0314048i | ||||
\(571\) | 1.30322 | − | 2.25725i | 0.0545382 | − | 0.0944629i | −0.837467 | − | 0.546487i | \(-0.815965\pi\) |
0.892006 | + | 0.452024i | \(0.149298\pi\) | |||||||
\(572\) | −0.743151 | + | 1.89982i | −0.0310727 | + | 0.0794356i | ||||
\(573\) | 0.763738 | + | 8.97079i | 0.0319056 | + | 0.374760i | ||||
\(574\) | −1.17689 | − | 0.523986i | −0.0491225 | − | 0.0218707i | ||||
\(575\) | 6.39652 | + | 19.6865i | 0.266753 | + | 0.820982i | ||||
\(576\) | 16.4066 | − | 6.53975i | 0.683610 | − | 0.272489i | ||||
\(577\) | −28.4684 | − | 20.6835i | −1.18515 | − | 0.861064i | −0.192409 | − | 0.981315i | \(-0.561630\pi\) |
−0.992744 | + | 0.120251i | \(0.961630\pi\) | |||||||
\(578\) | −0.660439 | + | 6.28365i | −0.0274706 | + | 0.261366i | ||||
\(579\) | 1.64230 | + | 5.41694i | 0.0682517 | + | 0.225120i | ||||
\(580\) | −1.57827 | − | 0.335473i | −0.0655343 | − | 0.0139297i | ||||
\(581\) | 0.524704 | + | 4.99223i | 0.0217684 | + | 0.207112i | ||||
\(582\) | −31.1582 | + | 21.7089i | −1.29155 | + | 0.899864i | ||||
\(583\) | 10.4033 | − | 15.7991i | 0.430861 | − | 0.654333i | ||||
\(584\) | −38.5294 | −1.59436 | ||||||||
\(585\) | −0.758471 | − | 2.69250i | −0.0313589 | − | 0.111321i | ||||
\(586\) | −7.50863 | − | 23.1092i | −0.310179 | − | 0.954631i | ||||
\(587\) | −23.0377 | + | 4.89682i | −0.950869 | + | 0.202113i | −0.657134 | − | 0.753774i | \(-0.728232\pi\) |
−0.293735 | + | 0.955887i | \(0.594898\pi\) | |||||||
\(588\) | 2.26590 | − | 3.75122i | 0.0934441 | − | 0.154698i | ||||
\(589\) | −20.9194 | + | 9.31391i | −0.861968 | + | 0.383773i | ||||
\(590\) | 4.36928 | + | 4.85258i | 0.179880 | + | 0.199777i | ||||
\(591\) | 4.83166 | − | 38.6052i | 0.198748 | − | 1.58801i | ||||
\(592\) | −12.2272 | − | 5.44392i | −0.502536 | − | 0.223744i | ||||
\(593\) | 13.1828 | 0.541354 | 0.270677 | − | 0.962670i | \(-0.412752\pi\) | ||||
0.270677 | + | 0.962670i | \(0.412752\pi\) | |||||||
\(594\) | 11.1619 | − | 24.1951i | 0.457978 | − | 0.992736i | ||||
\(595\) | 1.96270 | 0.0804630 | ||||||||
\(596\) | −0.409018 | − | 0.182106i | −0.0167540 | − | 0.00745937i | ||||
\(597\) | 4.48030 | − | 35.7978i | 0.183366 | − | 1.46511i | ||||
\(598\) | 7.25412 | + | 8.05651i | 0.296643 | + | 0.329455i | ||||
\(599\) | 31.2582 | − | 13.9171i | 1.27718 | − | 0.568636i | 0.347731 | − | 0.937594i | \(-0.386952\pi\) |
0.929446 | + | 0.368958i | \(0.120285\pi\) | |||||||
\(600\) | −10.3614 | + | 17.1534i | −0.423002 | + | 0.700284i | ||||
\(601\) | −28.3942 | + | 6.03537i | −1.15822 | + | 0.246188i | −0.746668 | − | 0.665197i | \(-0.768347\pi\) |
−0.411555 | + | 0.911385i | \(0.635014\pi\) | |||||||
\(602\) | −1.45372 | − | 4.47410i | −0.0592493 | − | 0.182351i | ||||
\(603\) | −16.9437 | + | 17.3825i | −0.690000 | + | 0.707870i | ||||
\(604\) | 0.343924 | 0.0139941 | ||||||||
\(605\) | 2.72416 | − | 5.91521i | 0.110753 | − | 0.240487i | ||||
\(606\) | 31.5714 | − | 21.9968i | 1.28250 | − | 0.893561i | ||||
\(607\) | 0.329929 | + | 3.13906i | 0.0133914 | + | 0.127411i | 0.999175 | − | 0.0406085i | \(-0.0129296\pi\) |
−0.985784 | + | 0.168019i | \(0.946263\pi\) | |||||||
\(608\) | 5.34798 | + | 1.13675i | 0.216889 | + | 0.0461012i | ||||
\(609\) | 2.53187 | + | 8.35108i | 0.102597 | + | 0.338403i | ||||
\(610\) | −0.436207 | + | 4.15024i | −0.0176615 | + | 0.168038i | ||||
\(611\) | −0.289945 | − | 0.210657i | −0.0117299 | − | 0.00852229i | ||||
\(612\) | −0.773633 | + | 5.32414i | −0.0312723 | + | 0.215216i | ||||
\(613\) | 10.4884 | + | 32.2798i | 0.423620 | + | 1.30377i | 0.904309 | + | 0.426878i | \(0.140387\pi\) |
−0.480689 | + | 0.876891i | \(0.659613\pi\) | |||||||
\(614\) | −4.96221 | − | 2.20932i | −0.200258 | − | 0.0891608i | ||||
\(615\) | 0.100393 | + | 1.17920i | 0.00404822 | + | 0.0475500i | ||||
\(616\) | 4.60667 | + | 3.77910i | 0.185608 | + | 0.152264i | ||||
\(617\) | 10.8039 | − | 18.7129i | 0.434948 | − | 0.753351i | −0.562344 | − | 0.826904i | \(-0.690100\pi\) |
0.997291 | + | 0.0735523i | \(0.0234336\pi\) | |||||||
\(618\) | 11.6478 | − | 2.23588i | 0.468541 | − | 0.0899403i | ||||
\(619\) | 13.7256 | − | 15.2438i | 0.551679 | − | 0.612701i | −0.401223 | − | 0.915980i | \(-0.631415\pi\) |
0.952902 | + | 0.303279i | \(0.0980815\pi\) | |||||||
\(620\) | −0.652196 | + | 2.00725i | −0.0261928 | + | 0.0806132i | ||||
\(621\) | −14.4319 | − | 18.0795i | −0.579134 | − | 0.725504i | ||||
\(622\) | −32.9404 | − | 23.9326i | −1.32079 | − | 0.959611i | ||||
\(623\) | −8.81325 | + | 1.87331i | −0.353095 | + | 0.0750527i | ||||
\(624\) | −1.56802 | + | 12.5286i | −0.0627711 | + | 0.501545i | ||||
\(625\) | −2.07649 | − | 19.7565i | −0.0830597 | − | 0.790260i | ||||
\(626\) | 1.90263 | − | 3.29545i | 0.0760444 | − | 0.131713i | ||||
\(627\) | −12.2869 | + | 7.53013i | −0.490693 | + | 0.300724i | ||||
\(628\) | 1.91094 | + | 3.30985i | 0.0762550 | + | 0.132078i | ||||
\(629\) | −10.7427 | + | 7.80501i | −0.428339 | + | 0.311206i | ||||
\(630\) | 1.98099 | + | 0.0784423i | 0.0789244 | + | 0.00312522i | ||||
\(631\) | 9.22863 | − | 28.4028i | 0.367386 | − | 1.13070i | −0.581087 | − | 0.813841i | \(-0.697372\pi\) |
0.948473 | − | 0.316857i | \(-0.102628\pi\) | |||||||
\(632\) | −3.80275 | + | 36.1807i | −0.151265 | + | 1.43919i | ||||
\(633\) | 5.87401 | + | 0.116253i | 0.233471 | + | 0.00462063i | ||||
\(634\) | −27.4234 | − | 30.4568i | −1.08912 | − | 1.20959i | ||||
\(635\) | 6.94700 | + | 1.47663i | 0.275683 | + | 0.0585983i | ||||
\(636\) | −1.26459 | + | 3.64495i | −0.0501441 | + | 0.144532i | ||||
\(637\) | −5.10193 | − | 8.83680i | −0.202146 | − | 0.350127i | ||||
\(638\) | −35.3803 | + | 5.37360i | −1.40072 | + | 0.212743i | ||||
\(639\) | −23.6046 | − | 28.3992i | −0.933784 | − | 1.12345i | ||||
\(640\) | −6.44762 | + | 4.68447i | −0.254864 | + | 0.185170i | ||||
\(641\) | −25.5073 | + | 28.3287i | −1.00748 | + | 1.11892i | −0.0145863 | + | 0.999894i | \(0.504643\pi\) |
−0.992891 | + | 0.119024i | \(0.962024\pi\) | |||||||
\(642\) | 41.0604 | + | 9.58059i | 1.62053 | + | 0.378116i | ||||
\(643\) | −15.3705 | + | 6.84340i | −0.606154 | + | 0.269877i | −0.686778 | − | 0.726867i | \(-0.740976\pi\) |
0.0806235 | + | 0.996745i | \(0.474309\pi\) | |||||||
\(644\) | −1.14672 | + | 0.510551i | −0.0451870 | + | 0.0201185i | ||||
\(645\) | −2.95473 | + | 3.15377i | −0.116342 | + | 0.124179i | ||||
\(646\) | 11.9177 | − | 13.2359i | 0.468895 | − | 0.520761i | ||||
\(647\) | 16.9687 | − | 12.3285i | 0.667109 | − | 0.484683i | −0.201947 | − | 0.979396i | \(-0.564727\pi\) |
0.869056 | + | 0.494713i | \(0.164727\pi\) | |||||||
\(648\) | 4.09487 | − | 22.0185i | 0.160862 | − | 0.864968i | ||||
\(649\) | 21.0120 | + | 10.8748i | 0.824792 | + | 0.426872i | ||||
\(650\) | −5.66102 | − | 9.80517i | −0.222043 | − | 0.384591i | ||||
\(651\) | 11.2098 | − | 2.15181i | 0.439346 | − | 0.0843361i | ||||
\(652\) | −1.76859 | − | 0.375925i | −0.0692632 | − | 0.0147223i | ||||
\(653\) | 13.2264 | + | 14.6894i | 0.517587 | + | 0.574839i | 0.944107 | − | 0.329639i | \(-0.106927\pi\) |
−0.426520 | + | 0.904478i | \(0.640261\pi\) | |||||||
\(654\) | 18.9652 | − | 31.3971i | 0.741598 | − | 1.22772i | ||||
\(655\) | 0.426450 | − | 4.05740i | 0.0166628 | − | 0.158536i | ||||
\(656\) | 1.65074 | − | 5.08046i | 0.0644506 | − | 0.198358i | ||||
\(657\) | −24.7984 | + | 39.2764i | −0.967479 | + | 1.53232i | ||||
\(658\) | 0.205494 | − | 0.149300i | 0.00801101 | − | 0.00582034i | ||||
\(659\) | 5.90277 | + | 10.2239i | 0.229939 | + | 0.398267i | 0.957790 | − | 0.287469i | \(-0.0928139\pi\) |
−0.727851 | + | 0.685736i | \(0.759481\pi\) | |||||||
\(660\) | −0.241993 | + | 1.30598i | −0.00941956 | + | 0.0508350i | ||||
\(661\) | −8.90382 | + | 15.4219i | −0.346318 | + | 0.599841i | −0.985592 | − | 0.169138i | \(-0.945902\pi\) |
0.639274 | + | 0.768979i | \(0.279235\pi\) | |||||||
\(662\) | −1.30972 | − | 12.4612i | −0.0509039 | − | 0.484318i | ||||
\(663\) | 9.98656 | + | 7.56204i | 0.387846 | + | 0.293685i | ||||
\(664\) | −16.9241 | + | 3.59733i | −0.656782 | + | 0.139603i | ||||
\(665\) | −0.867445 | − | 0.630235i | −0.0336381 | − | 0.0244395i | ||||
\(666\) | −11.1547 | + | 7.44837i | −0.432235 | + | 0.288618i | ||||
\(667\) | −9.60079 | + | 29.5482i | −0.371744 | + | 1.14411i | ||||
\(668\) | −4.43916 | + | 4.93019i | −0.171756 | + | 0.190755i | ||||
\(669\) | −12.4959 | − | 14.4429i | −0.483119 | − | 0.558393i | ||||
\(670\) | 3.70329 | − | 6.41429i | 0.143071 | − | 0.247806i | ||||
\(671\) | 3.82060 | + | 14.6297i | 0.147493 | + | 0.564773i | ||||
\(672\) | −2.46731 | − | 1.15755i | −0.0951784 | − | 0.0446533i | ||||
\(673\) | 18.0017 | + | 8.01486i | 0.693913 | + | 0.308950i | 0.723217 | − | 0.690620i | \(-0.242662\pi\) |
−0.0293041 | + | 0.999571i | \(0.509329\pi\) | |||||||
\(674\) | 11.8111 | + | 36.3508i | 0.454946 | + | 1.40018i | ||||
\(675\) | 10.8171 | + | 21.6026i | 0.416351 | + | 0.831484i | ||||
\(676\) | 3.32365 | + | 2.41477i | 0.127833 | + | 0.0928760i | ||||
\(677\) | 1.29761 | − | 12.3459i | 0.0498711 | − | 0.474492i | −0.940874 | − | 0.338757i | \(-0.889994\pi\) |
0.990745 | − | 0.135735i | \(-0.0433396\pi\) | |||||||
\(678\) | 14.7028 | − | 15.6932i | 0.564657 | − | 0.602693i | ||||
\(679\) | −10.0139 | − | 2.12852i | −0.384297 | − | 0.0816850i | ||||
\(680\) | 0.707148 | + | 6.72806i | 0.0271179 | + | 0.258010i | ||||
\(681\) | 0.876706 | + | 10.2977i | 0.0335955 | + | 0.394609i | ||||
\(682\) | 2.15290 | + | 46.7597i | 0.0824387 | + | 1.79052i | ||||
\(683\) | 2.02837 | 0.0776135 | 0.0388068 | − | 0.999247i | \(-0.487644\pi\) | ||||
0.0388068 | + | 0.999247i | \(0.487644\pi\) | |||||||
\(684\) | 2.05153 | − | 2.10466i | 0.0784422 | − | 0.0804738i | ||||
\(685\) | 1.69164 | + | 5.20632i | 0.0646341 | + | 0.198923i | ||||
\(686\) | 14.7167 | − | 3.12813i | 0.561886 | − | 0.119433i | ||||
\(687\) | 42.8610 | + | 0.848265i | 1.63525 | + | 0.0323633i | ||||
\(688\) | 17.8205 | − | 7.93420i | 0.679400 | − | 0.302488i | ||||
\(689\) | 6.01077 | + | 6.67564i | 0.228992 | + | 0.254322i | ||||
\(690\) | 5.62719 | + | 4.26103i | 0.214223 | + | 0.162215i | ||||
\(691\) | 2.14032 | + | 0.952931i | 0.0814215 | + | 0.0362512i | 0.447043 | − | 0.894512i | \(-0.352477\pi\) |
−0.365622 | + | 0.930764i | \(0.619144\pi\) | |||||||
\(692\) | −0.230830 | −0.00877483 | ||||||||
\(693\) | 6.81732 | − | 2.26366i | 0.258969 | − | 0.0859895i | ||||
\(694\) | −3.19995 | −0.121469 | ||||||||
\(695\) | 11.6884 | + | 5.20402i | 0.443367 | + | 0.197400i | ||||
\(696\) | −27.7149 | + | 11.6880i | −1.05053 | + | 0.443032i | ||||
\(697\) | −3.54620 | − | 3.93846i | −0.134322 | − | 0.149180i | ||||
\(698\) | −7.36497 | + | 3.27910i | −0.278768 | + | 0.124116i | ||||
\(699\) | −3.50225 | − | 6.35317i | −0.132467 | − | 0.240299i | ||||
\(700\) | 1.28228 | − | 0.272556i | 0.0484655 | − | 0.0103016i | ||||
\(701\) | −1.37008 | − | 4.21668i | −0.0517473 | − | 0.159262i | 0.921843 | − | 0.387563i | \(-0.126683\pi\) |
−0.973591 | + | 0.228301i | \(0.926683\pi\) | |||||||
\(702\) | 9.77736 | + | 8.03161i | 0.369023 | + | 0.303134i | ||||
\(703\) | 7.25411 | 0.273594 | ||||||||
\(704\) | −10.7384 | + | 16.3081i | −0.404720 | + | 0.614634i | ||||
\(705\) | −0.211249 | − | 0.0991082i | −0.00795609 | − | 0.00373263i | ||||
\(706\) | −3.50261 | − | 33.3251i | −0.131822 | − | 1.25421i | ||||
\(707\) | 10.1467 | + | 2.15675i | 0.381606 | + | 0.0811128i | ||||
\(708\) | −4.69914 | − | 1.09645i | −0.176605 | − | 0.0412070i | ||||
\(709\) | −3.12357 | + | 29.7188i | −0.117308 | + | 1.11611i | 0.764538 | + | 0.644578i | \(0.222967\pi\) |
−0.881847 | + | 0.471536i | \(0.843700\pi\) | |||||||
\(710\) | 9.11565 | + | 6.62291i | 0.342104 | + | 0.248553i | ||||
\(711\) | 34.4346 | + | 27.1632i | 1.29140 | + | 1.01870i | ||||
\(712\) | −9.59699 | − | 29.5365i | −0.359662 | − | 1.10693i | ||||
\(713\) | 37.1255 | + | 16.5293i | 1.39036 | + | 0.619029i | ||||
\(714\) | −7.28435 | + | 5.07525i | −0.272610 | + | 0.189936i | ||||
\(715\) | 2.39093 | + | 1.96141i | 0.0894157 | + | 0.0733525i | ||||
\(716\) | 1.88258 | − | 3.26072i | 0.0703551 | − | 0.121859i | ||||
\(717\) | −4.18574 | + | 12.0647i | −0.156319 | + | 0.450563i | ||||
\(718\) | 9.05541 | − | 10.0571i | 0.337945 | − | 0.375326i | ||||
\(719\) | −6.68469 | + | 20.5734i | −0.249297 | + | 0.767257i | 0.745603 | + | 0.666390i | \(0.232162\pi\) |
−0.994900 | + | 0.100867i | \(0.967838\pi\) | |||||||
\(720\) | 0.535145 | + | 8.20332i | 0.0199437 | + | 0.305720i | ||||
\(721\) | 2.58676 | + | 1.87939i | 0.0963360 | + | 0.0699922i | ||||
\(722\) | 19.2173 | − | 4.08477i | 0.715194 | − | 0.152019i | ||||
\(723\) | −14.0909 | + | 5.94244i | −0.524046 | + | 0.221002i | ||||
\(724\) | 0.194391 | + | 1.84950i | 0.00722447 | + | 0.0687363i | ||||
\(725\) | 16.2235 | − | 28.1000i | 0.602527 | − | 1.04361i | ||||
\(726\) | 5.18540 | + | 28.9979i | 0.192448 | + | 1.07621i | ||||
\(727\) | 6.22109 | + | 10.7752i | 0.230727 | + | 0.399631i | 0.958022 | − | 0.286694i | \(-0.0925561\pi\) |
−0.727295 | + | 0.686325i | \(0.759223\pi\) | |||||||
\(728\) | −2.28910 | + | 1.66313i | −0.0848396 | + | 0.0616396i | ||||
\(729\) | −19.8098 | − | 18.3459i | −0.733697 | − | 0.679477i | ||||
\(730\) | 4.37965 | − | 13.4792i | 0.162098 | − | 0.498887i | ||||
\(731\) | 2.02293 | − | 19.2469i | 0.0748207 | − | 0.711872i | ||||
\(732\) | −1.48876 | − | 2.70066i | −0.0550263 | − | 0.0998191i | ||||
\(733\) | −35.0305 | − | 38.9053i | −1.29388 | − | 1.43700i | −0.836736 | − | 0.547606i | \(-0.815539\pi\) |
−0.457143 | − | 0.889393i | \(-0.651127\pi\) | |||||||
\(734\) | 10.2329 | + | 2.17507i | 0.377703 | + | 0.0802833i | ||||
\(735\) | −4.34683 | − | 5.02411i | −0.160335 | − | 0.185317i | ||||
\(736\) | −4.85153 | − | 8.40310i | −0.178830 | − | 0.309742i | ||||
\(737\) | 4.36635 | − | 26.4786i | 0.160837 | − | 0.975352i | ||||
\(738\) | −3.42183 | − | 4.11688i | −0.125959 | − | 0.151544i | ||||
\(739\) | 37.7617 | − | 27.4355i | 1.38909 | − | 1.00923i | 0.393122 | − | 0.919486i | \(-0.371395\pi\) |
0.995965 | − | 0.0897445i | \(-0.0286051\pi\) | |||||||
\(740\) | 0.447375 | − | 0.496861i | 0.0164458 | − | 0.0182650i | ||||
\(741\) | −1.98549 | − | 6.54889i | −0.0729387 | − | 0.240580i | ||||
\(742\) | −5.81613 | + | 2.58951i | −0.213517 | + | 0.0950638i | ||||
\(743\) | −19.9810 | + | 8.89609i | −0.733030 | + | 0.326366i | −0.739082 | − | 0.673616i | \(-0.764740\pi\) |
0.00605180 | + | 0.999982i | \(0.498074\pi\) | |||||||
\(744\) | 11.4151 | + | 37.6514i | 0.418499 | + | 1.38037i | ||||
\(745\) | −0.454155 | + | 0.504391i | −0.0166390 | + | 0.0184794i | ||||
\(746\) | 27.3853 | − | 19.8966i | 1.00265 | − | 0.728466i | ||||
\(747\) | −7.22567 | + | 19.5675i | −0.264373 | + | 0.715938i | ||||
\(748\) | −2.66657 | − | 5.31664i | −0.0974994 | − | 0.194395i | ||||
\(749\) | 5.68334 | + | 9.84384i | 0.207665 | + | 0.359686i | ||||
\(750\) | −10.0099 | − | 11.5696i | −0.365512 | − | 0.422461i | ||||
\(751\) | −38.7269 | − | 8.23167i | −1.41317 | − | 0.300378i | −0.562810 | − | 0.826586i | \(-0.690280\pi\) |
−0.850356 | + | 0.526208i | \(0.823613\pi\) | |||||||
\(752\) | 0.704764 | + | 0.782720i | 0.0257001 | + | 0.0285429i | ||||
\(753\) | −17.2027 | − | 31.2061i | −0.626900 | − | 1.13721i | ||||
\(754\) | 1.77633 | − | 16.9006i | 0.0646900 | − | 0.615484i | ||||
\(755\) | 0.161111 | − | 0.495850i | 0.00586344 | − | 0.0180458i | ||||
\(756\) | −1.23425 | + | 0.789297i | −0.0448894 | + | 0.0287064i | ||||
\(757\) | −18.7253 | + | 13.6047i | −0.680583 | + | 0.494472i | −0.873551 | − | 0.486733i | \(-0.838189\pi\) |
0.192968 | + | 0.981205i | \(0.438189\pi\) | |||||||
\(758\) | 26.1480 | + | 45.2896i | 0.949736 | + | 1.64499i | ||||
\(759\) | 24.5219 | + | 7.26263i | 0.890089 | + | 0.263617i | ||||
\(760\) | 1.84789 | − | 3.20063i | 0.0670299 | − | 0.116099i | ||||
\(761\) | 1.55673 | + | 14.8113i | 0.0564313 | + | 0.536908i | 0.985820 | + | 0.167806i | \(0.0536682\pi\) |
−0.929389 | + | 0.369102i | \(0.879665\pi\) | |||||||
\(762\) | −29.6013 | + | 12.4835i | −1.07234 | + | 0.452230i | ||||
\(763\) | 9.67249 | − | 2.05595i | 0.350168 | − | 0.0744304i | ||||
\(764\) | 1.64233 | + | 1.19322i | 0.0594173 | + | 0.0431692i | ||||
\(765\) | 7.31364 | + | 3.60948i | 0.264425 | + | 0.130501i | ||||
\(766\) | −8.77872 | + | 27.0181i | −0.317188 | + | 0.976204i | ||||
\(767\) | −7.51774 | + | 8.34930i | −0.271450 | + | 0.301476i | ||||
\(768\) | 5.13153 | − | 14.7908i | 0.185168 | − | 0.533715i | ||||
\(769\) | −10.8117 | + | 18.7264i | −0.389879 | + | 0.675290i | −0.992433 | − | 0.122788i | \(-0.960816\pi\) |
0.602554 | + | 0.798078i | \(0.294150\pi\) | |||||||
\(770\) | −1.84572 | + | 1.18203i | −0.0665153 | + | 0.0425974i | ||||
\(771\) | 4.80681 | − | 3.34906i | 0.173113 | − | 0.120614i | ||||
\(772\) | 1.16595 | + | 0.519116i | 0.0419636 | + | 0.0186834i | ||||
\(773\) | −1.87664 | − | 5.77569i | −0.0674979 | − | 0.207737i | 0.911619 | − | 0.411037i | \(-0.134833\pi\) |
−0.979117 | + | 0.203300i | \(0.934833\pi\) | |||||||
\(774\) | 2.81100 | − | 19.3453i | 0.101039 | − | 0.695353i | ||||
\(775\) | −34.3361 | − | 24.9466i | −1.23339 | − | 0.896109i | ||||
\(776\) | 3.68853 | − | 35.0941i | 0.132411 | − | 1.25980i | ||||
\(777\) | −3.52135 | − | 0.821634i | −0.126328 | − | 0.0294759i | ||||
\(778\) | 46.5903 | + | 9.90307i | 1.67034 | + | 0.355042i | ||||
\(779\) | 0.302633 | + | 2.87936i | 0.0108430 | + | 0.103164i | ||||
\(780\) | −0.571007 | − | 0.267890i | −0.0204453 | − | 0.00959200i | ||||
\(781\) | 39.3667 | + | 10.8167i | 1.40865 | + | 0.387051i | ||||
\(782\) | −31.6086 | −1.13032 | ||||||||
\(783\) | −5.92339 | + | 35.7749i | −0.211685 | + | 1.27849i | ||||
\(784\) | 9.26663 | + | 28.5197i | 0.330951 | + | 1.01856i | ||||
\(785\) | 5.66714 | − | 1.20459i | 0.202269 | − | 0.0429936i | ||||
\(786\) | 8.90908 | + | 16.1613i | 0.317777 | + | 0.576455i | ||||
\(787\) | 46.7328 | − | 20.8068i | 1.66584 | − | 0.741681i | 0.665853 | − | 0.746083i | \(-0.268068\pi\) |
0.999990 | + | 0.00440228i | \(0.00140129\pi\) | |||||||
\(788\) | −5.86995 | − | 6.51924i | −0.209108 | − | 0.232238i | ||||
\(789\) | −22.7936 | + | 9.61254i | −0.811473 | + | 0.342216i | ||||
\(790\) | −12.2252 | − | 5.44303i | −0.434954 | − | 0.193654i | ||||
\(791\) | 5.79736 | 0.206130 | ||||||||
\(792\) | 10.2160 | + | 22.5539i | 0.363009 | + | 0.801418i | ||||
\(793\) | −7.18019 | −0.254976 | ||||||||
\(794\) | −11.7175 | − | 5.21697i | −0.415839 | − | 0.185143i | ||||
\(795\) | 4.66269 | + | 3.53069i | 0.165369 | + | 0.125221i | ||||
\(796\) | −5.44309 | − | 6.04516i | −0.192925 | − | 0.214265i | ||||
\(797\) | −23.0773 | + | 10.2747i | −0.817439 | + | 0.363947i | −0.772478 | − | 0.635041i | \(-0.780983\pi\) |
−0.0449609 | + | 0.998989i | \(0.514316\pi\) | |||||||
\(798\) | 4.84911 | + | 0.0959690i | 0.171657 | + | 0.00339727i | ||||
\(799\) | 1.02210 | − | 0.217254i | 0.0361593 | − | 0.00768590i | ||||
\(800\) | 3.13143 | + | 9.63754i | 0.110713 | + | 0.340738i | ||||
\(801\) | −36.2860 | − | 9.22732i | −1.28210 | − | 0.326031i | ||||
\(802\) | −6.08192 | −0.214760 | ||||||||
\(803\) | −2.36185 | − | 51.2980i | −0.0833480 | − | 1.81027i | ||||
\(804\) | 0.464295 | + | 5.45357i | 0.0163744 | + | 0.192332i | ||||
\(805\) | 0.198903 | + | 1.89244i | 0.00701042 | + | 0.0666997i | ||||
\(806\) | −21.7425 | − | 4.62152i | −0.765848 | − | 0.162786i | ||||
\(807\) | 7.95838 | − | 8.49446i | 0.280148 | − | 0.299019i | ||||
\(808\) | −3.73745 | + | 35.5595i | −0.131483 | + | 1.25098i | ||||
\(809\) | −41.5248 | − | 30.1696i | −1.45994 | − | 1.06071i | −0.983380 | − | 0.181561i | \(-0.941885\pi\) |
−0.476556 | − | 0.879144i | \(-0.658115\pi\) | |||||||
\(810\) | 7.23751 | + | 3.93540i | 0.254300 | + | 0.138276i | ||||
\(811\) | 1.40476 | + | 4.32339i | 0.0493276 | + | 0.151815i | 0.972686 | − | 0.232124i | \(-0.0745674\pi\) |
−0.923359 | + | 0.383939i | \(0.874567\pi\) | |||||||
\(812\) | 1.79751 | + | 0.800302i | 0.0630801 | + | 0.0280851i | ||||
\(813\) | −6.24142 | − | 2.92819i | −0.218896 | − | 0.102696i | ||||
\(814\) | 5.40186 | − | 13.8096i | 0.189335 | − | 0.484025i | ||||
\(815\) | −1.37048 | + | 2.37375i | −0.0480059 | + | 0.0831487i | ||||
\(816\) | −24.0869 | − | 27.8399i | −0.843212 | − | 0.974591i | ||||
\(817\) | −7.07435 | + | 7.85686i | −0.247500 | + | 0.274877i | ||||
\(818\) | −1.19649 | + | 3.68241i | −0.0418342 | + | 0.128753i | ||||
\(819\) | 0.222054 | + | 3.40390i | 0.00775920 | + | 0.118942i | ||||
\(820\) | 0.215882 | + | 0.156848i | 0.00753894 | + | 0.00547736i | ||||
\(821\) | −10.6362 | + | 2.26079i | −0.371205 | + | 0.0789021i | −0.389737 | − | 0.920926i | \(-0.627434\pi\) |
0.0185320 | + | 0.999828i | \(0.494101\pi\) | |||||||
\(822\) | −19.7411 | − | 14.9484i | −0.688549 | − | 0.521384i | ||||
\(823\) | 2.46856 | + | 23.4868i | 0.0860486 | + | 0.818697i | 0.949395 | + | 0.314085i | \(0.101698\pi\) |
−0.863346 | + | 0.504612i | \(0.831636\pi\) | |||||||
\(824\) | −5.51048 | + | 9.54444i | −0.191967 | + | 0.332496i | ||||
\(825\) | −23.4731 | − | 12.7436i | −0.817230 | − | 0.443676i | ||||
\(826\) | −3.98136 | − | 6.89591i | −0.138529 | − | 0.239940i | ||||
\(827\) | 22.3321 | − | 16.2252i | 0.776564 | − | 0.564207i | −0.127382 | − | 0.991854i | \(-0.540657\pi\) |
0.903946 | + | 0.427647i | \(0.140657\pi\) | |||||||
\(828\) | −5.21194 | − | 0.206380i | −0.181127 | − | 0.00717221i | ||||
\(829\) | −4.97546 | + | 15.3129i | −0.172805 | + | 0.531839i | −0.999526 | − | 0.0307727i | \(-0.990203\pi\) |
0.826722 | + | 0.562611i | \(0.190203\pi\) | |||||||
\(830\) | 0.665273 | − | 6.32965i | 0.0230920 | − | 0.219705i | ||||
\(831\) | 11.7602 | − | 19.4691i | 0.407956 | − | 0.675376i | ||||
\(832\) | −6.20441 | − | 6.89069i | −0.215099 | − | 0.238892i | ||||
\(833\) | 29.1005 | + | 6.18550i | 1.00827 | + | 0.214315i | ||||
\(834\) | −56.8371 | + | 10.9103i | −1.96811 | + | 0.377794i | ||||
\(835\) | 5.02854 | + | 8.70968i | 0.174020 | + | 0.301411i | ||||
\(836\) | −0.528675 | + | 3.20601i | −0.0182846 | + | 0.110882i | ||||
\(837\) | 45.7284 | + | 12.5969i | 1.58061 | + | 0.435412i | ||||
\(838\) | −13.4334 | + | 9.75993i | −0.464049 | + | 0.337151i | ||||
\(839\) | −13.0025 | + | 14.4407i | −0.448896 | + | 0.498549i | −0.924538 | − | 0.381089i | \(-0.875549\pi\) |
0.475642 | + | 0.879639i | \(0.342216\pi\) | |||||||
\(840\) | −1.25953 | + | 1.34438i | −0.0434581 | + | 0.0463854i | ||||
\(841\) | 17.9979 | − | 8.01318i | 0.620617 | − | 0.276317i | ||||
\(842\) | 31.3390 | − | 13.9530i | 1.08001 | − | 0.480853i | ||||
\(843\) | 5.00603 | + | 1.16805i | 0.172417 | + | 0.0402299i | ||||
\(844\) | 0.886407 | − | 0.984455i | 0.0305114 | − | 0.0338863i | ||||
\(845\) | 5.03845 | − | 3.66065i | 0.173328 | − | 0.125930i | ||||
\(846\) | 1.04030 | − | 0.178428i | 0.0357664 | − | 0.00613449i | ||||
\(847\) | −4.74909 | + | 6.36497i | −0.163181 | + | 0.218703i | ||||
\(848\) | −13.1997 | − | 22.8626i | −0.453280 | − | 0.785103i | ||||
\(849\) | 4.59446 | − | 13.2427i | 0.157681 | − | 0.454489i | ||||
\(850\) | 32.2894 | + | 6.86333i | 1.10752 | + | 0.235410i | ||||
\(851\) | −8.61427 | − | 9.56712i | −0.295293 | − | 0.327957i | ||||
\(852\) | −8.32484 | − | 0.164757i | −0.285204 | − | 0.00564449i | ||||
\(853\) | 2.06815 | − | 19.6771i | 0.0708121 | − | 0.673732i | −0.900326 | − | 0.435215i | \(-0.856672\pi\) |
0.971138 | − | 0.238517i | \(-0.0766611\pi\) | |||||||
\(854\) | 1.57255 | − | 4.83980i | 0.0538114 | − | 0.165614i | ||||
\(855\) | −2.07334 | − | 3.94371i | −0.0709068 | − | 0.134872i | ||||
\(856\) | −31.6966 | + | 23.0289i | −1.08337 | + | 0.787112i | ||||
\(857\) | 2.17032 | + | 3.75911i | 0.0741369 | + | 0.128409i | 0.900711 | − | 0.434420i | \(-0.143047\pi\) |
−0.826574 | + | 0.562828i | \(0.809713\pi\) | |||||||
\(858\) | −13.9456 | − | 1.09697i | −0.476094 | − | 0.0374498i | ||||
\(859\) | 2.58967 | − | 4.48545i | 0.0883586 | − | 0.153042i | −0.818459 | − | 0.574565i | \(-0.805171\pi\) |
0.906817 | + | 0.421524i | \(0.138505\pi\) | |||||||
\(860\) | 0.101856 | + | 0.969096i | 0.00347327 | + | 0.0330459i | ||||
\(861\) | 0.179223 | − | 1.43200i | 0.00610791 | − | 0.0488025i | ||||
\(862\) | 27.9153 | − | 5.93357i | 0.950797 | − | 0.202098i | ||||
\(863\) | 2.17943 | + | 1.58345i | 0.0741886 | + | 0.0539011i | 0.624261 | − | 0.781216i | \(-0.285400\pi\) |
−0.550073 | + | 0.835117i | \(0.685400\pi\) | |||||||
\(864\) | −7.06518 | − | 8.85084i | −0.240362 | − | 0.301112i | ||||
\(865\) | −0.108132 | + | 0.332797i | −0.00367661 | + | 0.0113155i | ||||
\(866\) | 15.6392 | − | 17.3691i | 0.531441 | − | 0.590225i | ||||
\(867\) | −6.95109 | + | 1.33432i | −0.236072 | + | 0.0453158i | ||||
\(868\) | 1.28685 | − | 2.22889i | 0.0436785 | − | 0.0756534i | ||||
\(869\) | −48.4040 | − | 2.84509i | −1.64199 | − | 0.0965132i | ||||
\(870\) | −0.938574 | − | 11.0244i | −0.0318207 | − | 0.373762i | ||||
\(871\) | 11.6420 | + | 5.18333i | 0.394472 | + | 0.175630i | ||||
\(872\) | 10.5326 | + | 32.4161i | 0.356680 | + | 1.09775i | ||||
\(873\) | −33.4004 | − | 26.3474i | −1.13043 | − | 0.891724i | ||||
\(874\) | 13.9699 | + | 10.1497i | 0.472538 | + | 0.343319i | ||||
\(875\) | 0.431114 | − | 4.10177i | 0.0145743 | − | 0.138665i | ||||
\(876\) | 3.03873 | + | 10.0229i | 0.102669 | + | 0.338642i | ||||
\(877\) | 20.3893 | + | 4.33387i | 0.688497 | + | 0.146344i | 0.538858 | − | 0.842396i | \(-0.318856\pi\) |
0.149638 | + | 0.988741i | \(0.452189\pi\) | |||||||
\(878\) | −3.87155 | − | 36.8353i | −0.130658 | − | 1.24313i | ||||
\(879\) | 22.3339 | − | 15.5607i | 0.753302 | − | 0.524851i | ||||
\(880\) | −5.67454 | − | 7.09919i | −0.191289 | − | 0.239314i | ||||
\(881\) | 11.5843 | 0.390286 | 0.195143 | − | 0.980775i | \(-0.437483\pi\) | ||||
0.195143 | + | 0.980775i | \(0.437483\pi\) | |||||||
\(882\) | 29.1243 | + | 7.40616i | 0.980668 | + | 0.249378i | ||||
\(883\) | 4.75801 | + | 14.6437i | 0.160120 | + | 0.492798i | 0.998644 | − | 0.0520667i | \(-0.0165808\pi\) |
−0.838524 | + | 0.544865i | \(0.816581\pi\) | |||||||
\(884\) | 2.76274 | − | 0.587239i | 0.0929211 | − | 0.0197510i | ||||
\(885\) | −3.78211 | + | 6.26133i | −0.127134 | + | 0.210472i | ||||
\(886\) | 36.0146 | − | 16.0348i | 1.20994 | − | 0.538698i | ||||
\(887\) | −3.95453 | − | 4.39196i | −0.132780 | − | 0.147467i | 0.673088 | − | 0.739563i | \(-0.264968\pi\) |
−0.805868 | + | 0.592095i | \(0.798301\pi\) | |||||||
\(888\) | 1.54781 | − | 12.3671i | 0.0519410 | − | 0.415012i | ||||
\(889\) | −7.91198 | − | 3.52264i | −0.265359 | − | 0.118146i | ||||
\(890\) | 11.4240 | 0.382932 | ||||||||
\(891\) | 29.5664 | + | 4.10217i | 0.990512 | + | 0.137428i | ||||
\(892\) | −4.30623 | −0.144183 | ||||||||
\(893\) | −0.521493 | − | 0.232184i | −0.0174511 | − | 0.00776974i | ||||
\(894\) | 0.381270 | − | 3.04636i | 0.0127516 | − | 0.101886i | ||||
\(895\) | −3.81922 | − | 4.24168i | −0.127663 | − | 0.141784i | ||||
\(896\) | 8.87838 | − | 3.95291i | 0.296606 | − | 0.132057i | ||||
\(897\) | −6.27927 | + | 10.3954i | −0.209659 | + | 0.347092i | ||||
\(898\) | 34.0013 | − | 7.22719i | 1.13464 | − | 0.241174i | ||||
\(899\) | −19.6852 | − | 60.5847i | −0.656537 | − | 2.02061i | ||||
\(900\) | 5.27939 | + | 1.34252i | 0.175980 | + | 0.0447507i | ||||
\(901\) | −26.1909 | −0.872546 | ||||||||
\(902\) | 5.70677 | + | 1.56803i | 0.190015 | + | 0.0522098i | ||||
\(903\) | 4.32399 | − | 3.01267i | 0.143893 | − | 0.100255i | ||||
\(904\) | 2.08875 | + | 19.8731i | 0.0694707 | + | 0.660969i | ||||
\(905\) | 2.75757 | + | 0.586140i | 0.0916648 | + | 0.0194840i | ||||
\(906\) | 0.684245 | + | 2.25690i | 0.0227325 | + | 0.0749804i | ||||
\(907\) | 0.772812 | − | 7.35282i | 0.0256608 | − | 0.244146i | −0.974171 | − | 0.225811i | \(-0.927497\pi\) |
0.999832 | − | 0.0183351i | \(-0.00583657\pi\) | |||||||
\(908\) | 1.88525 | + | 1.36971i | 0.0625642 | + | 0.0454556i | ||||
\(909\) | 33.8434 | + | 26.6968i | 1.12251 | + | 0.885478i | ||||
\(910\) | −0.321628 | − | 0.989869i | −0.0106619 | − | 0.0328138i | ||||
\(911\) | −12.9713 | − | 5.77517i | −0.429757 | − | 0.191340i | 0.180447 | − | 0.983585i | \(-0.442246\pi\) |
−0.610203 | + | 0.792245i | \(0.708912\pi\) | |||||||
\(912\) | 1.70602 | + | 20.0387i | 0.0564918 | + | 0.663547i | ||||
\(913\) | −5.82692 | − | 22.3122i | −0.192843 | − | 0.738426i | ||||
\(914\) | −16.7675 | + | 29.0422i | −0.554620 | + | 0.960631i | ||||
\(915\) | −4.59107 | + | 0.881292i | −0.151776 | + | 0.0291346i | ||||
\(916\) | 6.46787 | − | 7.18330i | 0.213704 | − | 0.237343i | ||||
\(917\) | −1.53737 | + | 4.73153i | −0.0507684 | + | 0.156249i | ||||
\(918\) | −36.4773 | + | 5.51577i | −1.20393 | + | 0.182048i | ||||
\(919\) | 33.6895 | + | 24.4769i | 1.11132 | + | 0.807418i | 0.982870 | − | 0.184299i | \(-0.0590013\pi\) |
0.128445 | + | 0.991717i | \(0.459001\pi\) | |||||||
\(920\) | −6.41554 | + | 1.36366i | −0.211514 | + | 0.0449587i | ||||
\(921\) | 0.755671 | − | 6.03785i | 0.0249002 | − | 0.198954i | ||||
\(922\) | 1.95613 | + | 18.6114i | 0.0644218 | + | 0.612932i | ||||
\(923\) | −9.69344 | + | 16.7895i | −0.319063 | + | 0.552634i | ||||
\(924\) | 0.619761 | − | 1.49641i | 0.0203887 | − | 0.0492283i | ||||
\(925\) | 6.72247 | + | 11.6437i | 0.221033 | + | 0.382841i | ||||
\(926\) | −25.0555 | + | 18.2039i | −0.823376 | + | 0.598218i | ||||
\(927\) | 6.18280 | + | 11.7603i | 0.203070 | + | 0.386260i | ||||
\(928\) | −4.70008 | + | 14.4654i | −0.154288 | + | 0.474849i | ||||
\(929\) | 3.56785 | − | 33.9458i | 0.117057 | − | 1.11373i | −0.765473 | − | 0.643469i | \(-0.777495\pi\) |
0.882530 | − | 0.470257i | \(-0.155839\pi\) | |||||||
\(930\) | −14.4696 | − | 0.286368i | −0.474476 | − | 0.00939037i | ||||
\(931\) | −10.8752 | − | 12.0781i | −0.356419 | − | 0.395844i | ||||
\(932\) | −1.59999 | − | 0.340089i | −0.0524094 | − | 0.0111400i | ||||
\(933\) | 14.9507 | − | 43.0927i | 0.489463 | − | 1.41079i | ||||
\(934\) | −4.69059 | − | 8.12434i | −0.153481 | − | 0.265837i | ||||
\(935\) | −8.91439 | + | 1.35393i | −0.291532 | + | 0.0442781i | ||||
\(936\) | −11.5884 | + | 1.98759i | −0.378780 | + | 0.0649666i | ||||
\(937\) | −41.8118 | + | 30.3780i | −1.36593 | + | 0.992407i | −0.367889 | + | 0.929870i | \(0.619919\pi\) |
−0.998043 | + | 0.0625376i | \(0.980081\pi\) | |||||||
\(938\) | −6.04353 | + | 6.71202i | −0.197328 | + | 0.219155i | ||||
\(939\) | 4.15132 | + | 0.968623i | 0.135473 | + | 0.0316098i | ||||
\(940\) | −0.0480647 | + | 0.0213998i | −0.00156770 | + | 0.000697984i | ||||
\(941\) | 16.4495 | − | 7.32378i | 0.536237 | − | 0.238748i | −0.120706 | − | 0.992688i | \(-0.538516\pi\) |
0.656943 | + | 0.753940i | \(0.271849\pi\) | |||||||
\(942\) | −17.9181 | + | 19.1251i | −0.583803 | + | 0.623128i | ||||
\(943\) | 3.43809 | − | 3.81838i | 0.111959 | − | 0.124344i | ||||
\(944\) | 26.7122 | − | 19.4075i | 0.869407 | − | 0.631661i | ||||
\(945\) | 0.559776 | + | 2.14923i | 0.0182095 | + | 0.0699143i | ||||
\(946\) | 9.68901 | + | 19.3181i | 0.315017 | + | 0.628084i | ||||
\(947\) | −14.3151 | − | 24.7946i | −0.465180 | − | 0.805715i | 0.534030 | − | 0.845466i | \(-0.320677\pi\) |
−0.999210 | + | 0.0397506i | \(0.987344\pi\) | |||||||
\(948\) | 9.71182 | − | 1.86426i | 0.315425 | − | 0.0605484i | ||||
\(949\) | 23.8528 | + | 5.07007i | 0.774295 | + | 0.164581i | ||||
\(950\) | −12.0669 | − | 13.4017i | −0.391502 | − | 0.434808i | ||||
\(951\) | 23.7381 | − | 39.2987i | 0.769761 | − | 1.27435i | ||||
\(952\) | 0.862328 | − | 8.20451i | 0.0279482 | − | 0.265910i | ||||
\(953\) | 5.15728 | − | 15.8725i | 0.167061 | − | 0.514160i | −0.832121 | − | 0.554594i | \(-0.812874\pi\) |
0.999182 | + | 0.0404331i | \(0.0128738\pi\) | |||||||
\(954\) | −26.4349 | − | 1.04676i | −0.855861 | − | 0.0338900i | ||||
\(955\) | 2.48967 | − | 1.80885i | 0.0805637 | − | 0.0585330i | ||||
\(956\) | 1.43969 | + | 2.49361i | 0.0465628 | + | 0.0806492i | ||||
\(957\) | −17.2603 | − | 36.1832i | −0.557946 | − | 1.16964i | ||||
\(958\) | −28.0414 | + | 48.5690i | −0.905975 | + | 1.56919i | ||||
\(959\) | −0.697785 | − | 6.63898i | −0.0225327 | − | 0.214384i | ||||
\(960\) | −4.81290 | − | 3.64443i | −0.155336 | − | 0.117624i | ||||
\(961\) | −51.1814 | + | 10.8789i | −1.65101 | + | 0.350933i | ||||
\(962\) | 5.69677 | + | 4.13895i | 0.183671 | + | 0.133445i | ||||
\(963\) | 3.07473 | + | 47.1330i | 0.0990818 | + | 1.51884i | ||||
\(964\) | −1.06554 | + | 3.27939i | −0.0343187 | + | 0.105622i | ||||
\(965\) | 1.29463 | − | 1.43783i | 0.0416755 | − | 0.0462853i | ||||
\(966\) | −5.63176 | − | 6.50924i | −0.181199 | − | 0.209431i | ||||
\(967\) | −12.1597 | + | 21.0612i | −0.391029 | + | 0.677281i | −0.992585 | − | 0.121549i | \(-0.961214\pi\) |
0.601557 | + | 0.798830i | \(0.294547\pi\) | |||||||
\(968\) | −23.5299 | − | 13.9864i | −0.756280 | − | 0.449541i | ||||
\(969\) | 18.0632 | + | 8.47443i | 0.580275 | + | 0.272238i | ||||
\(970\) | 11.8581 | + | 5.27955i | 0.380739 | + | 0.169516i | ||||
\(971\) | 2.33367 | + | 7.18229i | 0.0748910 | + | 0.230491i | 0.981494 | − | 0.191495i | \(-0.0613334\pi\) |
−0.906603 | + | 0.421985i | \(0.861333\pi\) | |||||||
\(972\) | −6.05076 | + | 0.671326i | −0.194078 | + | 0.0215328i | ||||
\(973\) | −12.6225 | − | 9.17079i | −0.404659 | − | 0.294002i | ||||
\(974\) | 1.40362 | − | 13.3545i | 0.0449748 | − | 0.427907i | ||||
\(975\) | 8.67173 | − | 9.25586i | 0.277718 | − | 0.296425i | ||||
\(976\) | 20.6403 | + | 4.38723i | 0.660679 | + | 0.140432i | ||||
\(977\) | −0.212432 | − | 2.02115i | −0.00679629 | − | 0.0646624i | 0.990598 | − | 0.136804i | \(-0.0436832\pi\) |
−0.997394 | + | 0.0721420i | \(0.977017\pi\) | |||||||
\(978\) | −1.05175 | − | 12.3537i | −0.0336313 | − | 0.395029i | ||||
\(979\) | 38.7366 | − | 14.5880i | 1.23803 | − | 0.466235i | ||||
\(980\) | −1.49797 | −0.0478508 | ||||||||
\(981\) | 39.8236 | + | 10.1269i | 1.27147 | + | 0.323328i | ||||
\(982\) | −15.8611 | − | 48.8154i | −0.506148 | − | 1.55776i | ||||
\(983\) | −32.7089 | + | 6.95248i | −1.04325 | + | 0.221750i | −0.697506 | − | 0.716579i | \(-0.745707\pi\) |
−0.345745 | + | 0.938329i | \(0.612374\pi\) | |||||||
\(984\) | 4.97342 | + | 0.0984291i | 0.158547 | + | 0.00313781i | ||||
\(985\) | −12.1489 | + | 5.40902i | −0.387095 | + | 0.172346i | ||||
\(986\) | 33.1536 | + | 36.8208i | 1.05583 | + | 1.17261i | ||||
\(987\) | 0.226850 | + | 0.171775i | 0.00722070 | + | 0.00546767i | ||||
\(988\) | −1.40960 | − | 0.627594i | −0.0448453 | − | 0.0199664i | ||||
\(989\) | 18.7629 | 0.596624 | ||||||||
\(990\) | −9.05154 | + | 1.01026i | −0.287677 | + | 0.0321082i | ||||
\(991\) | 40.1009 | 1.27385 | 0.636923 | − | 0.770927i | \(-0.280207\pi\) | ||||
0.636923 | + | 0.770927i | \(0.280207\pi\) | |||||||
\(992\) | 18.1749 | + | 8.09197i | 0.577052 | + | 0.256920i | ||||
\(993\) | 12.9334 | − | 5.45430i | 0.410430 | − | 0.173087i | ||||
\(994\) | −9.19397 | − | 10.2109i | −0.291615 | − | 0.323871i | ||||
\(995\) | −11.2654 | + | 5.01568i | −0.357137 | + | 0.159008i | ||||
\(996\) | 2.27056 | + | 4.11885i | 0.0719454 | + | 0.130511i | ||||
\(997\) | −15.7776 | + | 3.35364i | −0.499682 | + | 0.106211i | −0.450856 | − | 0.892597i | \(-0.648881\pi\) |
−0.0488260 | + | 0.998807i | \(0.515548\pi\) | |||||||
\(998\) | 9.97461 | + | 30.6987i | 0.315741 | + | 0.971750i | ||||
\(999\) | −11.6106 | − | 9.53755i | −0.367344 | − | 0.301755i |
(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 | 99.2.m.b.58.8 | yes | 72 | |
3.2 | odd | 2 | 297.2.n.b.91.2 | 72 | |||
9.2 | odd | 6 | 297.2.n.b.289.8 | 72 | |||
9.4 | even | 3 | 891.2.f.f.487.2 | 36 | |||
9.5 | odd | 6 | 891.2.f.e.487.8 | 36 | |||
9.7 | even | 3 | inner | 99.2.m.b.25.2 | yes | 72 | |
11.2 | odd | 10 | 1089.2.e.o.364.15 | 36 | |||
11.4 | even | 5 | inner | 99.2.m.b.4.2 | ✓ | 72 | |
11.9 | even | 5 | 1089.2.e.p.364.4 | 36 | |||
33.26 | odd | 10 | 297.2.n.b.37.8 | 72 | |||
99.4 | even | 15 | 891.2.f.f.730.2 | 36 | |||
99.13 | odd | 30 | 9801.2.a.co.1.4 | 18 | |||
99.31 | even | 15 | 9801.2.a.cm.1.15 | 18 | |||
99.59 | odd | 30 | 891.2.f.e.730.8 | 36 | |||
99.68 | even | 30 | 9801.2.a.cn.1.15 | 18 | |||
99.70 | even | 15 | inner | 99.2.m.b.70.8 | yes | 72 | |
99.79 | odd | 30 | 1089.2.e.o.727.15 | 36 | |||
99.86 | odd | 30 | 9801.2.a.cp.1.4 | 18 | |||
99.92 | odd | 30 | 297.2.n.b.235.2 | 72 | |||
99.97 | even | 15 | 1089.2.e.p.727.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.2 | ✓ | 72 | 11.4 | even | 5 | inner | |
99.2.m.b.25.2 | yes | 72 | 9.7 | even | 3 | inner | |
99.2.m.b.58.8 | yes | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.70.8 | yes | 72 | 99.70 | even | 15 | inner | |
297.2.n.b.37.8 | 72 | 33.26 | odd | 10 | |||
297.2.n.b.91.2 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.235.2 | 72 | 99.92 | odd | 30 | |||
297.2.n.b.289.8 | 72 | 9.2 | odd | 6 | |||
891.2.f.e.487.8 | 36 | 9.5 | odd | 6 | |||
891.2.f.e.730.8 | 36 | 99.59 | odd | 30 | |||
891.2.f.f.487.2 | 36 | 9.4 | even | 3 | |||
891.2.f.f.730.2 | 36 | 99.4 | even | 15 | |||
1089.2.e.o.364.15 | 36 | 11.2 | odd | 10 | |||
1089.2.e.o.727.15 | 36 | 99.79 | odd | 30 | |||
1089.2.e.p.364.4 | 36 | 11.9 | even | 5 | |||
1089.2.e.p.727.4 | 36 | 99.97 | even | 15 | |||
9801.2.a.cm.1.15 | 18 | 99.31 | even | 15 | |||
9801.2.a.cn.1.15 | 18 | 99.68 | even | 30 | |||
9801.2.a.co.1.4 | 18 | 99.13 | odd | 30 | |||
9801.2.a.cp.1.4 | 18 | 99.86 | odd | 30 |