Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(4,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.u (of order \(30\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 79.16 | ||
Character | \(\chi\) | \(=\) | 225.79 |
Dual form | 225.2.u.a.94.16 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.299541 | − | 0.269708i | 0.211807 | − | 0.190712i | −0.556398 | − | 0.830916i | \(-0.687817\pi\) |
0.768205 | + | 0.640204i | \(0.221150\pi\) | |||||||
\(3\) | −1.24716 | + | 1.20191i | −0.720047 | + | 0.693926i | ||||
\(4\) | −0.192074 | + | 1.82747i | −0.0960372 | + | 0.913733i | ||||
\(5\) | −1.79768 | − | 1.32979i | −0.803947 | − | 0.594700i | ||||
\(6\) | −0.0494088 | + | 0.696391i | −0.0201711 | + | 0.284300i | ||||
\(7\) | −4.03987 | − | 2.33242i | −1.52693 | − | 0.881573i | −0.999488 | − | 0.0319808i | \(-0.989818\pi\) |
−0.527440 | − | 0.849592i | \(-0.676848\pi\) | |||||||
\(8\) | 0.909187 | + | 1.25139i | 0.321446 | + | 0.442433i | ||||
\(9\) | 0.110803 | − | 2.99795i | 0.0369342 | − | 0.999318i | ||||
\(10\) | −0.897134 | + | 0.0865220i | −0.283699 | + | 0.0273607i | ||||
\(11\) | 1.78814 | + | 1.98593i | 0.539144 | + | 0.598781i | 0.949741 | − | 0.313037i | \(-0.101346\pi\) |
−0.410597 | + | 0.911817i | \(0.634680\pi\) | |||||||
\(12\) | −1.95691 | − | 2.51000i | −0.564912 | − | 0.724573i | ||||
\(13\) | −3.63309 | − | 3.27125i | −1.00764 | − | 0.907282i | −0.0119401 | − | 0.999929i | \(-0.503801\pi\) |
−0.995699 | + | 0.0926463i | \(0.970467\pi\) | |||||||
\(14\) | −1.83918 | + | 0.390930i | −0.491542 | + | 0.104480i | ||||
\(15\) | 3.84029 | − | 0.502201i | 0.991557 | − | 0.129668i | ||||
\(16\) | −2.98491 | − | 0.634462i | −0.746227 | − | 0.158615i | ||||
\(17\) | 0.388104 | + | 0.534179i | 0.0941289 | + | 0.129557i | 0.853484 | − | 0.521119i | \(-0.174485\pi\) |
−0.759355 | + | 0.650677i | \(0.774485\pi\) | |||||||
\(18\) | −0.775381 | − | 0.927894i | −0.182759 | − | 0.218707i | ||||
\(19\) | −3.29002 | + | 2.39034i | −0.754782 | + | 0.548381i | −0.897306 | − | 0.441410i | \(-0.854478\pi\) |
0.142523 | + | 0.989791i | \(0.454478\pi\) | |||||||
\(20\) | 2.77544 | − | 3.02978i | 0.620606 | − | 0.677480i | ||||
\(21\) | 7.84173 | − | 1.94669i | 1.71121 | − | 0.424802i | ||||
\(22\) | 1.07124 | + | 0.112592i | 0.228390 | + | 0.0240047i | ||||
\(23\) | 0.898733 | + | 4.22821i | 0.187399 | + | 0.881642i | 0.966883 | + | 0.255220i | \(0.0821479\pi\) |
−0.779484 | + | 0.626422i | \(0.784519\pi\) | |||||||
\(24\) | −2.63796 | − | 0.467913i | −0.538472 | − | 0.0955124i | ||||
\(25\) | 1.46331 | + | 4.78108i | 0.292663 | + | 0.956216i | ||||
\(26\) | −1.97054 | −0.386455 | ||||||||
\(27\) | 3.46510 | + | 3.87209i | 0.666858 | + | 0.745185i | ||||
\(28\) | 5.03838 | − | 6.93474i | 0.952165 | − | 1.31054i | ||||
\(29\) | −8.03092 | + | 3.57559i | −1.49130 | + | 0.663971i | −0.980642 | − | 0.195810i | \(-0.937266\pi\) |
−0.510662 | + | 0.859782i | \(0.670600\pi\) | |||||||
\(30\) | 1.01487 | − | 1.18618i | 0.185290 | − | 0.216567i | ||||
\(31\) | 1.01176 | + | 0.450465i | 0.181718 | + | 0.0809060i | 0.495579 | − | 0.868563i | \(-0.334956\pi\) |
−0.313861 | + | 0.949469i | \(0.601623\pi\) | |||||||
\(32\) | −3.74436 | + | 2.16181i | −0.661916 | + | 0.382157i | ||||
\(33\) | −4.61701 | − | 0.327576i | −0.803718 | − | 0.0570237i | ||||
\(34\) | 0.260325 | + | 0.0553338i | 0.0446454 | + | 0.00948967i | ||||
\(35\) | 4.16077 | + | 9.56514i | 0.703299 | + | 1.61680i | ||||
\(36\) | 5.45738 | + | 0.778318i | 0.909563 | + | 0.129720i | ||||
\(37\) | −3.15275 | + | 1.02439i | −0.518308 | + | 0.168409i | −0.556478 | − | 0.830863i | \(-0.687847\pi\) |
0.0381690 | + | 0.999271i | \(0.487847\pi\) | |||||||
\(38\) | −0.340802 | + | 1.60335i | −0.0552854 | + | 0.260097i | ||||
\(39\) | 8.46281 | − | 0.286902i | 1.35513 | − | 0.0459411i | ||||
\(40\) | 0.0296563 | − | 3.45863i | 0.00468907 | − | 0.546857i | ||||
\(41\) | 4.70059 | − | 5.22054i | 0.734109 | − | 0.815311i | −0.254300 | − | 0.967125i | \(-0.581845\pi\) |
0.988409 | + | 0.151814i | \(0.0485116\pi\) | |||||||
\(42\) | 1.82388 | − | 2.69809i | 0.281431 | − | 0.416324i | ||||
\(43\) | −1.95550 | − | 1.12901i | −0.298211 | − | 0.172172i | 0.343428 | − | 0.939179i | \(-0.388412\pi\) |
−0.641639 | + | 0.767007i | \(0.721745\pi\) | |||||||
\(44\) | −3.97268 | + | 2.88632i | −0.598904 | + | 0.435129i | ||||
\(45\) | −4.18584 | + | 5.24202i | −0.623988 | + | 0.781434i | ||||
\(46\) | 1.40959 | + | 1.02413i | 0.207832 | + | 0.150999i | ||||
\(47\) | −0.656473 | − | 1.47446i | −0.0957564 | − | 0.215072i | 0.859316 | − | 0.511445i | \(-0.170890\pi\) |
−0.955072 | + | 0.296373i | \(0.904223\pi\) | |||||||
\(48\) | 4.48522 | − | 2.79633i | 0.647386 | − | 0.403616i | ||||
\(49\) | 7.38039 | + | 12.7832i | 1.05434 | + | 1.82617i | ||||
\(50\) | 1.72782 | + | 1.03746i | 0.244350 | + | 0.146719i | ||||
\(51\) | −1.12606 | − | 0.199738i | −0.157680 | − | 0.0279688i | ||||
\(52\) | 6.67593 | − | 6.01104i | 0.925785 | − | 0.833581i | ||||
\(53\) | 4.22318 | − | 5.81270i | 0.580098 | − | 0.798436i | −0.413608 | − | 0.910455i | \(-0.635732\pi\) |
0.993706 | + | 0.112019i | \(0.0357316\pi\) | |||||||
\(54\) | 2.08227 | + | 0.225287i | 0.283361 | + | 0.0306577i | ||||
\(55\) | −0.573634 | − | 5.94792i | −0.0773488 | − | 0.802017i | ||||
\(56\) | −0.754235 | − | 7.17606i | −0.100789 | − | 0.958942i | ||||
\(57\) | 1.23019 | − | 6.93545i | 0.162942 | − | 0.918623i | ||||
\(58\) | −1.44122 | + | 3.23704i | −0.189242 | + | 0.425044i | ||||
\(59\) | 3.58259 | − | 3.97887i | 0.466414 | − | 0.518005i | −0.463343 | − | 0.886179i | \(-0.653350\pi\) |
0.929757 | + | 0.368174i | \(0.120017\pi\) | |||||||
\(60\) | 0.180135 | + | 7.11445i | 0.0232554 | + | 0.918472i | ||||
\(61\) | −6.67168 | − | 7.40965i | −0.854221 | − | 0.948708i | 0.144950 | − | 0.989439i | \(-0.453698\pi\) |
−0.999170 | + | 0.0407310i | \(0.987031\pi\) | |||||||
\(62\) | 0.424558 | − | 0.137947i | 0.0539189 | − | 0.0175193i | ||||
\(63\) | −7.44012 | + | 11.8529i | −0.937367 | + | 1.49333i | ||||
\(64\) | 1.34746 | − | 4.14704i | 0.168432 | − | 0.518380i | ||||
\(65\) | 2.18106 | + | 10.7119i | 0.270528 | + | 1.32865i | ||||
\(66\) | −1.47133 | + | 1.14712i | −0.181109 | + | 0.141201i | ||||
\(67\) | 1.07897 | − | 2.42340i | 0.131817 | − | 0.296066i | −0.835563 | − | 0.549394i | \(-0.814859\pi\) |
0.967380 | + | 0.253328i | \(0.0815253\pi\) | |||||||
\(68\) | −1.05074 | + | 0.606644i | −0.127421 | + | 0.0735664i | ||||
\(69\) | −6.20280 | − | 4.19304i | −0.746730 | − | 0.504782i | ||||
\(70\) | 3.82611 | + | 1.74296i | 0.457308 | + | 0.208323i | ||||
\(71\) | 8.66423 | + | 6.29493i | 1.02826 | + | 0.747071i | 0.967959 | − | 0.251109i | \(-0.0807954\pi\) |
0.0602966 | + | 0.998181i | \(0.480795\pi\) | |||||||
\(72\) | 3.85235 | − | 2.58704i | 0.454003 | − | 0.304886i | ||||
\(73\) | −9.14313 | − | 2.97078i | −1.07012 | − | 0.347704i | −0.279587 | − | 0.960120i | \(-0.590198\pi\) |
−0.790535 | + | 0.612416i | \(0.790198\pi\) | |||||||
\(74\) | −0.668091 | + | 1.15717i | −0.0776640 | + | 0.134518i | ||||
\(75\) | −7.57143 | − | 4.20398i | −0.874274 | − | 0.485434i | ||||
\(76\) | −3.73634 | − | 6.47152i | −0.428587 | − | 0.742335i | ||||
\(77\) | −2.59183 | − | 12.1936i | −0.295367 | − | 1.38959i | ||||
\(78\) | 2.45758 | − | 2.36842i | 0.278266 | − | 0.268171i | ||||
\(79\) | −3.11470 | + | 1.38675i | −0.350431 | + | 0.156022i | −0.574401 | − | 0.818574i | \(-0.694765\pi\) |
0.223970 | + | 0.974596i | \(0.428098\pi\) | |||||||
\(80\) | 4.52221 | + | 5.10986i | 0.505599 | + | 0.571300i | ||||
\(81\) | −8.97545 | − | 0.664362i | −0.997272 | − | 0.0738180i | ||||
\(82\) | − | 2.83155i | − | 0.312693i | ||||||
\(83\) | −1.35856 | + | 0.142791i | −0.149122 | + | 0.0156733i | −0.178795 | − | 0.983886i | \(-0.557220\pi\) |
0.0296735 | + | 0.999560i | \(0.490553\pi\) | |||||||
\(84\) | 2.05131 | + | 14.7044i | 0.223816 | + | 1.60438i | ||||
\(85\) | 0.0126593 | − | 1.47638i | 0.00137310 | − | 0.160136i | ||||
\(86\) | −0.890256 | + | 0.189230i | −0.0959987 | + | 0.0204052i | ||||
\(87\) | 5.71826 | − | 14.1118i | 0.613061 | − | 1.51294i | ||||
\(88\) | −0.859418 | + | 4.04324i | −0.0916142 | + | 0.431011i | ||||
\(89\) | 1.57433 | − | 4.84528i | 0.166878 | − | 0.513599i | −0.832291 | − | 0.554338i | \(-0.812971\pi\) |
0.999170 | + | 0.0407393i | \(0.0129713\pi\) | |||||||
\(90\) | 0.159984 | + | 2.69915i | 0.0168638 | + | 0.284516i | ||||
\(91\) | 7.04730 | + | 21.6894i | 0.738758 | + | 2.27366i | ||||
\(92\) | −7.89953 | + | 0.830274i | −0.823583 | + | 0.0865620i | ||||
\(93\) | −1.80325 | + | 0.654250i | −0.186988 | + | 0.0678426i | ||||
\(94\) | −0.594314 | − | 0.264606i | −0.0612988 | − | 0.0272920i | ||||
\(95\) | 9.09306 | + | 0.0779692i | 0.932928 | + | 0.00799947i | ||||
\(96\) | 2.07150 | − | 7.19652i | 0.211421 | − | 0.734491i | ||||
\(97\) | 6.03575 | + | 13.5565i | 0.612837 | + | 1.37646i | 0.907175 | + | 0.420754i | \(0.138234\pi\) |
−0.294338 | + | 0.955702i | \(0.595099\pi\) | |||||||
\(98\) | 5.65846 | + | 1.83854i | 0.571591 | + | 0.185721i | ||||
\(99\) | 6.15186 | − | 5.14071i | 0.618285 | − | 0.516661i | ||||
\(100\) | −9.01833 | + | 1.75584i | −0.901833 | + | 0.175584i | ||||
\(101\) | −5.14470 | + | 8.91088i | −0.511916 | + | 0.886665i | 0.487988 | + | 0.872850i | \(0.337731\pi\) |
−0.999905 | + | 0.0138151i | \(0.995602\pi\) | |||||||
\(102\) | −0.391173 | + | 0.243879i | −0.0387319 | + | 0.0241476i | ||||
\(103\) | −12.4178 | − | 1.30516i | −1.22356 | − | 0.128601i | −0.529369 | − | 0.848392i | \(-0.677571\pi\) |
−0.694191 | + | 0.719791i | \(0.744238\pi\) | |||||||
\(104\) | 0.790447 | − | 7.52060i | 0.0775097 | − | 0.737455i | ||||
\(105\) | −16.6856 | − | 6.92834i | −1.62835 | − | 0.676137i | ||||
\(106\) | −0.302718 | − | 2.88017i | −0.0294025 | − | 0.279747i | ||||
\(107\) | 17.3230i | 1.67468i | 0.546685 | + | 0.837338i | \(0.315889\pi\) | ||||
−0.546685 | + | 0.837338i | \(0.684111\pi\) | |||||||
\(108\) | −7.74168 | + | 5.58862i | −0.744944 | + | 0.537765i | ||||
\(109\) | −0.109625 | − | 0.337390i | −0.0105001 | − | 0.0323161i | 0.945669 | − | 0.325130i | \(-0.105408\pi\) |
−0.956169 | + | 0.292814i | \(0.905408\pi\) | |||||||
\(110\) | −1.77603 | − | 1.62693i | −0.169338 | − | 0.155122i | ||||
\(111\) | 2.70074 | − | 5.06691i | 0.256343 | − | 0.480930i | ||||
\(112\) | 10.5788 | + | 9.52521i | 0.999605 | + | 0.900048i | ||||
\(113\) | −7.94819 | − | 7.15658i | −0.747703 | − | 0.673235i | 0.204443 | − | 0.978878i | \(-0.434462\pi\) |
−0.952146 | + | 0.305644i | \(0.901128\pi\) | |||||||
\(114\) | −1.50205 | − | 2.40924i | −0.140680 | − | 0.225646i | ||||
\(115\) | 4.00699 | − | 8.79609i | 0.373654 | − | 0.820240i | ||||
\(116\) | −4.99175 | − | 15.3630i | −0.463472 | − | 1.42642i | ||||
\(117\) | −10.2096 | + | 10.5294i | −0.943880 | + | 0.973442i | ||||
\(118\) | − | 2.15809i | − | 0.198668i | ||||||
\(119\) | −0.321959 | − | 3.06324i | −0.0295139 | − | 0.280806i | ||||
\(120\) | 4.11999 | + | 4.34910i | 0.376102 | + | 0.397016i | ||||
\(121\) | 0.403337 | − | 3.83750i | 0.0366670 | − | 0.348863i | ||||
\(122\) | −3.99688 | − | 0.420089i | −0.361860 | − | 0.0380331i | ||||
\(123\) | 0.412261 | + | 12.1605i | 0.0371724 | + | 1.09648i | ||||
\(124\) | −1.01754 | + | 1.76244i | −0.0913782 | + | 0.158272i | ||||
\(125\) | 3.72726 | − | 10.5408i | 0.333376 | − | 0.942794i | ||||
\(126\) | 0.968203 | + | 5.55709i | 0.0862544 | + | 0.495065i | ||||
\(127\) | 3.59630 | + | 1.16851i | 0.319120 | + | 0.103688i | 0.464197 | − | 0.885732i | \(-0.346343\pi\) |
−0.145077 | + | 0.989420i | \(0.546343\pi\) | |||||||
\(128\) | −4.23202 | − | 9.50527i | −0.374061 | − | 0.840155i | ||||
\(129\) | 3.79579 | − | 0.942294i | 0.334201 | − | 0.0829644i | ||||
\(130\) | 3.54241 | + | 2.62041i | 0.310690 | + | 0.229825i | ||||
\(131\) | 4.88186 | + | 2.17355i | 0.426530 | + | 0.189904i | 0.608763 | − | 0.793352i | \(-0.291666\pi\) |
−0.182233 | + | 0.983255i | \(0.558333\pi\) | |||||||
\(132\) | 1.48544 | − | 8.37451i | 0.129291 | − | 0.728908i | ||||
\(133\) | 18.8665 | − | 1.98295i | 1.63594 | − | 0.171944i | ||||
\(134\) | −0.330416 | − | 1.01691i | −0.0285436 | − | 0.0878480i | ||||
\(135\) | −1.08006 | − | 11.5686i | −0.0929569 | − | 0.995670i | ||||
\(136\) | −0.315607 | + | 0.971337i | −0.0270630 | + | 0.0832915i | ||||
\(137\) | −1.84446 | + | 8.67752i | −0.157583 | + | 0.741370i | 0.826396 | + | 0.563089i | \(0.190387\pi\) |
−0.983980 | + | 0.178281i | \(0.942946\pi\) | |||||||
\(138\) | −2.98889 | + | 0.416958i | −0.254431 | + | 0.0354939i | ||||
\(139\) | −9.19131 | + | 1.95367i | −0.779597 | + | 0.165708i | −0.580488 | − | 0.814269i | \(-0.697138\pi\) |
−0.199109 | + | 0.979977i | \(0.563805\pi\) | |||||||
\(140\) | −18.2791 | + | 5.76645i | −1.54487 | + | 0.487354i | ||||
\(141\) | 2.59090 | + | 1.04986i | 0.218193 | + | 0.0884143i | ||||
\(142\) | 4.29308 | − | 0.451221i | 0.360268 | − | 0.0378657i | ||||
\(143\) | − | 13.0645i | − | 1.09251i | ||||||
\(144\) | −2.23282 | + | 8.87832i | −0.186069 | + | 0.739860i | ||||
\(145\) | 19.1918 | + | 4.25166i | 1.59379 | + | 0.353081i | ||||
\(146\) | −3.53998 | + | 1.57610i | −0.292971 | + | 0.130439i | ||||
\(147\) | −24.5688 | − | 7.07207i | −2.02640 | − | 0.583295i | ||||
\(148\) | −1.26648 | − | 5.95830i | −0.104104 | − | 0.489769i | ||||
\(149\) | −9.05535 | − | 15.6843i | −0.741843 | − | 1.28491i | −0.951655 | − | 0.307168i | \(-0.900619\pi\) |
0.209812 | − | 0.977742i | \(-0.432715\pi\) | |||||||
\(150\) | −3.40180 | + | 0.782811i | −0.277756 | + | 0.0639163i | ||||
\(151\) | −0.803549 | + | 1.39179i | −0.0653919 | + | 0.113262i | −0.896868 | − | 0.442299i | \(-0.854163\pi\) |
0.831476 | + | 0.555561i | \(0.187496\pi\) | |||||||
\(152\) | −5.98249 | − | 1.94383i | −0.485244 | − | 0.157665i | ||||
\(153\) | 1.64445 | − | 1.10433i | 0.132946 | − | 0.0892796i | ||||
\(154\) | −4.06507 | − | 2.95345i | −0.327573 | − | 0.237995i | ||||
\(155\) | −1.21980 | − | 2.15522i | −0.0979767 | − | 0.173112i | ||||
\(156\) | −1.10119 | + | 15.5206i | −0.0881654 | + | 1.24264i | ||||
\(157\) | 5.96877 | − | 3.44607i | 0.476359 | − | 0.275026i | −0.242539 | − | 0.970142i | \(-0.577980\pi\) |
0.718898 | + | 0.695116i | \(0.244647\pi\) | |||||||
\(158\) | −0.558962 | + | 1.25545i | −0.0444686 | + | 0.0998782i | ||||
\(159\) | 1.71941 | + | 12.3253i | 0.136358 | + | 0.977456i | ||||
\(160\) | 9.60592 | + | 1.09297i | 0.759415 | + | 0.0864072i | ||||
\(161\) | 6.23119 | − | 19.1776i | 0.491087 | − | 1.51141i | ||||
\(162\) | −2.86770 | + | 2.22174i | −0.225308 | + | 0.174557i | ||||
\(163\) | −9.77187 | + | 3.17507i | −0.765392 | + | 0.248691i | −0.665591 | − | 0.746317i | \(-0.731820\pi\) |
−0.0998006 | + | 0.995007i | \(0.531820\pi\) | |||||||
\(164\) | 8.63750 | + | 9.59291i | 0.674475 | + | 0.749081i | ||||
\(165\) | 7.86430 | + | 6.72853i | 0.612235 | + | 0.523816i | ||||
\(166\) | −0.368433 | + | 0.409187i | −0.0285960 | + | 0.0317590i | ||||
\(167\) | −0.286808 | + | 0.644182i | −0.0221939 | + | 0.0498483i | −0.924302 | − | 0.381661i | \(-0.875352\pi\) |
0.902108 | + | 0.431509i | \(0.142019\pi\) | |||||||
\(168\) | 9.56567 | + | 8.04316i | 0.738007 | + | 0.620543i | ||||
\(169\) | 1.13941 | + | 10.8408i | 0.0876469 | + | 0.833905i | ||||
\(170\) | −0.394399 | − | 0.445650i | −0.0302490 | − | 0.0341798i | ||||
\(171\) | 6.80158 | + | 10.1282i | 0.520130 | + | 0.774521i | ||||
\(172\) | 2.43883 | − | 3.35676i | 0.185959 | − | 0.255951i | ||||
\(173\) | 0.283469 | − | 0.255237i | 0.0215518 | − | 0.0194053i | −0.658284 | − | 0.752769i | \(-0.728718\pi\) |
0.679836 | + | 0.733364i | \(0.262051\pi\) | |||||||
\(174\) | −2.09321 | − | 5.76932i | −0.158686 | − | 0.437371i | ||||
\(175\) | 5.23989 | − | 22.7280i | 0.396098 | − | 1.71808i | ||||
\(176\) | −4.07744 | − | 7.06233i | −0.307348 | − | 0.532343i | ||||
\(177\) | 0.314208 | + | 9.26825i | 0.0236173 | + | 0.696644i | ||||
\(178\) | −0.835235 | − | 1.87597i | −0.0626035 | − | 0.140610i | ||||
\(179\) | −10.4612 | − | 7.60049i | −0.781905 | − | 0.568087i | 0.123645 | − | 0.992326i | \(-0.460541\pi\) |
−0.905550 | + | 0.424240i | \(0.860541\pi\) | |||||||
\(180\) | −8.77562 | − | 8.65634i | −0.654096 | − | 0.645205i | ||||
\(181\) | −6.07632 | + | 4.41471i | −0.451649 | + | 0.328143i | −0.790247 | − | 0.612789i | \(-0.790048\pi\) |
0.338597 | + | 0.940931i | \(0.390048\pi\) | |||||||
\(182\) | 7.96075 | + | 4.59614i | 0.590090 | + | 0.340688i | ||||
\(183\) | 17.2264 | + | 1.22221i | 1.27341 | + | 0.0903484i | ||||
\(184\) | −4.47401 | + | 4.96890i | −0.329829 | + | 0.366312i | ||||
\(185\) | 7.02986 | + | 2.35097i | 0.516845 | + | 0.172847i | ||||
\(186\) | −0.363690 | + | 0.682324i | −0.0266670 | + | 0.0500305i | ||||
\(187\) | −0.366858 | + | 1.72593i | −0.0268273 | + | 0.126213i | ||||
\(188\) | 2.82062 | − | 0.916476i | 0.205715 | − | 0.0668409i | ||||
\(189\) | −4.96719 | − | 23.7248i | −0.361310 | − | 1.72573i | ||||
\(190\) | 2.74477 | − | 2.42911i | 0.199127 | − | 0.176226i | ||||
\(191\) | −1.09822 | − | 0.233434i | −0.0794646 | − | 0.0168907i | 0.168008 | − | 0.985786i | \(-0.446267\pi\) |
−0.247472 | + | 0.968895i | \(0.579600\pi\) | |||||||
\(192\) | 3.30390 | + | 6.79154i | 0.238439 | + | 0.490137i | ||||
\(193\) | 2.46433 | − | 1.42278i | 0.177386 | − | 0.102414i | −0.408678 | − | 0.912679i | \(-0.634010\pi\) |
0.586064 | + | 0.810265i | \(0.300677\pi\) | |||||||
\(194\) | 5.46425 | + | 2.43284i | 0.392310 | + | 0.174668i | ||||
\(195\) | −15.5949 | − | 10.7380i | −1.11678 | − | 0.768964i | ||||
\(196\) | −24.7785 | + | 11.0321i | −1.76989 | + | 0.788006i | ||||
\(197\) | −0.907927 | + | 1.24965i | −0.0646872 | + | 0.0890342i | −0.840135 | − | 0.542378i | \(-0.817524\pi\) |
0.775448 | + | 0.631412i | \(0.217524\pi\) | |||||||
\(198\) | 0.456242 | − | 3.19906i | 0.0324237 | − | 0.227347i | ||||
\(199\) | 12.0990 | 0.857678 | 0.428839 | − | 0.903381i | \(-0.358923\pi\) | ||||
0.428839 | + | 0.903381i | \(0.358923\pi\) | |||||||
\(200\) | −4.65256 | + | 6.17807i | −0.328986 | + | 0.436856i | ||||
\(201\) | 1.56708 | + | 4.31919i | 0.110533 | + | 0.304652i | ||||
\(202\) | 0.862286 | + | 4.05674i | 0.0606702 | + | 0.285431i | ||||
\(203\) | 40.7837 | + | 4.28654i | 2.86245 | + | 0.300856i | ||||
\(204\) | 0.581302 | − | 2.01948i | 0.0406993 | − | 0.141392i | ||||
\(205\) | −15.3924 | + | 3.13406i | −1.07505 | + | 0.218892i | ||||
\(206\) | −4.07164 | + | 2.95822i | −0.283685 | + | 0.206109i | ||||
\(207\) | 12.7755 | − | 2.22586i | 0.887962 | − | 0.154708i | ||||
\(208\) | 8.76897 | + | 12.0695i | 0.608019 | + | 0.836866i | ||||
\(209\) | −10.6301 | − | 2.25949i | −0.735297 | − | 0.156292i | ||||
\(210\) | −6.86665 | + | 2.42492i | −0.473844 | + | 0.167335i | ||||
\(211\) | −6.46784 | + | 1.37478i | −0.445264 | + | 0.0946439i | −0.425087 | − | 0.905153i | \(-0.639756\pi\) |
−0.0201775 | + | 0.999796i | \(0.506423\pi\) | |||||||
\(212\) | 9.81136 | + | 8.83419i | 0.673847 | + | 0.606735i | ||||
\(213\) | −18.3716 | + | 2.56290i | −1.25880 | + | 0.175607i | ||||
\(214\) | 4.67215 | + | 5.18894i | 0.319381 | + | 0.354709i | ||||
\(215\) | 2.01402 | + | 4.63001i | 0.137355 | + | 0.315764i | ||||
\(216\) | −1.69508 | + | 7.85664i | −0.115335 | + | 0.534577i | ||||
\(217\) | −3.03671 | − | 4.17968i | −0.206146 | − | 0.283735i | ||||
\(218\) | −0.123834 | − | 0.0714954i | −0.00838708 | − | 0.00484228i | ||||
\(219\) | 14.9735 | − | 7.28423i | 1.01182 | − | 0.492223i | ||||
\(220\) | 10.9798 | + | 0.0941473i | 0.740259 | + | 0.00634741i | ||||
\(221\) | 0.337417 | − | 3.21031i | 0.0226971 | − | 0.215949i | ||||
\(222\) | −0.557602 | − | 2.24616i | −0.0374238 | − | 0.150752i | ||||
\(223\) | 15.1431 | − | 13.6349i | 1.01406 | − | 0.913063i | 0.0178318 | − | 0.999841i | \(-0.494324\pi\) |
0.996228 | + | 0.0867777i | \(0.0276570\pi\) | |||||||
\(224\) | 20.1690 | 1.34760 | ||||||||
\(225\) | 14.4956 | − | 3.85719i | 0.966373 | − | 0.257146i | ||||
\(226\) | −4.31100 | −0.286763 | ||||||||
\(227\) | −5.89468 | + | 5.30759i | −0.391243 | + | 0.352277i | −0.841153 | − | 0.540797i | \(-0.818123\pi\) |
0.449910 | + | 0.893074i | \(0.351456\pi\) | |||||||
\(228\) | 12.4380 | + | 3.58025i | 0.823728 | + | 0.237108i | ||||
\(229\) | 0.0671773 | − | 0.639150i | 0.00443920 | − | 0.0422362i | −0.992078 | − | 0.125623i | \(-0.959907\pi\) |
0.996517 | + | 0.0833868i | \(0.0265737\pi\) | |||||||
\(230\) | −1.17212 | − | 3.71551i | −0.0772871 | − | 0.244993i | ||||
\(231\) | 17.8881 | + | 12.0922i | 1.17695 | + | 0.795607i | ||||
\(232\) | −11.7761 | − | 6.79892i | −0.773137 | − | 0.446371i | ||||
\(233\) | 14.5616 | + | 20.0423i | 0.953960 | + | 1.31301i | 0.949746 | + | 0.313022i | \(0.101341\pi\) |
0.00421421 | + | 0.999991i | \(0.498659\pi\) | |||||||
\(234\) | −0.218341 | + | 5.90760i | −0.0142734 | + | 0.386192i | ||||
\(235\) | −0.780597 | + | 3.52358i | −0.0509205 | + | 0.229853i | ||||
\(236\) | 6.58313 | + | 7.31131i | 0.428525 | + | 0.475925i | ||||
\(237\) | 2.21776 | − | 5.47311i | 0.144059 | − | 0.355517i | ||||
\(238\) | −0.922619 | − | 0.830730i | −0.0598045 | − | 0.0538482i | ||||
\(239\) | 4.70676 | − | 1.00045i | 0.304455 | − | 0.0647139i | −0.0531508 | − | 0.998586i | \(-0.516926\pi\) |
0.357606 | + | 0.933873i | \(0.383593\pi\) | |||||||
\(240\) | −11.7815 | − | 0.937490i | −0.760494 | − | 0.0605147i | ||||
\(241\) | −9.29500 | − | 1.97571i | −0.598743 | − | 0.127267i | −0.101437 | − | 0.994842i | \(-0.532344\pi\) |
−0.497306 | + | 0.867575i | \(0.665677\pi\) | |||||||
\(242\) | −0.914187 | − | 1.25827i | −0.0587662 | − | 0.0808847i | ||||
\(243\) | 11.9923 | − | 9.95915i | 0.769306 | − | 0.638880i | ||||
\(244\) | 14.8223 | − | 10.7691i | 0.948903 | − | 0.689419i | ||||
\(245\) | 3.73140 | − | 32.7945i | 0.238391 | − | 2.09516i | ||||
\(246\) | 3.40328 | + | 3.53139i | 0.216985 | + | 0.225153i | ||||
\(247\) | 19.7724 | + | 2.07816i | 1.25808 | + | 0.132230i | ||||
\(248\) | 0.356174 | + | 1.67567i | 0.0226170 | + | 0.106405i | ||||
\(249\) | 1.52272 | − | 1.81096i | 0.0964984 | − | 0.114765i | ||||
\(250\) | −1.72646 | − | 4.16266i | −0.109191 | − | 0.263270i | ||||
\(251\) | 7.03498 | 0.444044 | 0.222022 | − | 0.975042i | \(-0.428734\pi\) | ||||
0.222022 | + | 0.975042i | \(0.428734\pi\) | |||||||
\(252\) | −20.2317 | − | 15.8732i | −1.27448 | − | 0.999919i | ||||
\(253\) | −6.78986 | + | 9.34544i | −0.426875 | + | 0.587543i | ||||
\(254\) | 1.39239 | − | 0.619933i | 0.0873665 | − | 0.0388981i | ||||
\(255\) | 1.75869 | + | 1.85649i | 0.110134 | + | 0.116258i | ||||
\(256\) | 4.13565 | + | 1.84131i | 0.258478 | + | 0.115082i | ||||
\(257\) | 7.02533 | − | 4.05608i | 0.438228 | − | 0.253011i | −0.264618 | − | 0.964353i | \(-0.585246\pi\) |
0.702846 | + | 0.711342i | \(0.251912\pi\) | |||||||
\(258\) | 0.882851 | − | 1.30601i | 0.0549639 | − | 0.0813087i | ||||
\(259\) | 15.1260 | + | 3.21513i | 0.939885 | + | 0.199779i | ||||
\(260\) | −19.9946 | + | 1.92834i | −1.24001 | + | 0.119590i | ||||
\(261\) | 9.82962 | + | 24.4725i | 0.608438 | + | 1.51481i | ||||
\(262\) | 2.04854 | − | 0.665611i | 0.126559 | − | 0.0411216i | ||||
\(263\) | −1.25210 | + | 5.89069i | −0.0772080 | + | 0.363235i | −0.999743 | − | 0.0226787i | \(-0.992781\pi\) |
0.922535 | + | 0.385914i | \(0.126114\pi\) | |||||||
\(264\) | −3.78780 | − | 6.07551i | −0.233123 | − | 0.373921i | ||||
\(265\) | −15.3216 | + | 4.83345i | −0.941199 | + | 0.296916i | ||||
\(266\) | 5.11648 | − | 5.68243i | 0.313712 | − | 0.348412i | ||||
\(267\) | 3.86018 | + | 7.93504i | 0.236239 | + | 0.485617i | ||||
\(268\) | 4.22145 | + | 2.43725i | 0.257866 | + | 0.148879i | ||||
\(269\) | −24.6282 | + | 17.8934i | −1.50161 | + | 1.09098i | −0.531872 | + | 0.846825i | \(0.678511\pi\) |
−0.969736 | + | 0.244157i | \(0.921489\pi\) | |||||||
\(270\) | −3.44368 | − | 3.17398i | −0.209575 | − | 0.193162i | ||||
\(271\) | −6.18082 | − | 4.49063i | −0.375458 | − | 0.272786i | 0.384012 | − | 0.923328i | \(-0.374542\pi\) |
−0.759471 | + | 0.650542i | \(0.774542\pi\) | |||||||
\(272\) | −0.819538 | − | 1.84071i | −0.0496918 | − | 0.111610i | ||||
\(273\) | −34.8579 | − | 18.5798i | −2.10969 | − | 1.12450i | ||||
\(274\) | 1.78790 | + | 3.09674i | 0.108011 | + | 0.187081i | ||||
\(275\) | −6.87828 | + | 11.4553i | −0.414776 | + | 0.690779i | ||||
\(276\) | 8.85404 | − | 10.5300i | 0.532950 | − | 0.633834i | ||||
\(277\) | −16.6810 | + | 15.0196i | −1.00226 | + | 0.902442i | −0.995232 | − | 0.0975334i | \(-0.968905\pi\) |
−0.00703103 | + | 0.999975i | \(0.502238\pi\) | |||||||
\(278\) | −2.22625 | + | 3.06417i | −0.133522 | + | 0.183777i | ||||
\(279\) | 1.46258 | − | 2.98330i | 0.0875624 | − | 0.178606i | ||||
\(280\) | −8.18679 | + | 13.9032i | −0.489254 | + | 0.830878i | ||||
\(281\) | −2.93992 | − | 27.9714i | −0.175381 | − | 1.66864i | −0.628973 | − | 0.777427i | \(-0.716525\pi\) |
0.453593 | − | 0.891209i | \(-0.350142\pi\) | |||||||
\(282\) | 1.05924 | − | 0.384310i | 0.0630767 | − | 0.0228853i | ||||
\(283\) | −7.75514 | + | 17.4183i | −0.460995 | + | 1.03541i | 0.522195 | + | 0.852826i | \(0.325113\pi\) |
−0.983190 | + | 0.182586i | \(0.941553\pi\) | |||||||
\(284\) | −13.1680 | + | 14.6245i | −0.781375 | + | 0.867805i | ||||
\(285\) | −11.4342 | + | 10.8318i | −0.677303 | + | 0.641623i | ||||
\(286\) | −3.52361 | − | 3.91336i | −0.208355 | − | 0.231402i | ||||
\(287\) | −31.1663 | + | 10.1265i | −1.83969 | + | 0.597751i | ||||
\(288\) | 6.06611 | + | 11.4650i | 0.357449 | + | 0.675579i | ||||
\(289\) | 5.11857 | − | 15.7533i | 0.301092 | − | 0.926666i | ||||
\(290\) | 6.89544 | − | 3.90264i | 0.404914 | − | 0.229171i | ||||
\(291\) | −23.8213 | − | 9.65265i | −1.39643 | − | 0.565848i | ||||
\(292\) | 7.18517 | − | 16.1382i | 0.420480 | − | 0.944414i | ||||
\(293\) | −23.3812 | + | 13.4992i | −1.36595 | + | 0.788629i | −0.990407 | − | 0.138178i | \(-0.955875\pi\) |
−0.375538 | + | 0.926807i | \(0.622542\pi\) | |||||||
\(294\) | −9.26676 | + | 4.50803i | −0.540449 | + | 0.262914i | ||||
\(295\) | −11.7314 | + | 2.38864i | −0.683030 | + | 0.139072i | ||||
\(296\) | −4.14835 | − | 3.01395i | −0.241118 | − | 0.175182i | ||||
\(297\) | −1.49364 | + | 13.8053i | −0.0866695 | + | 0.801064i | ||||
\(298\) | −6.94263 | − | 2.25580i | −0.402176 | − | 0.130675i | ||||
\(299\) | 10.5663 | − | 18.3015i | 0.611068 | − | 1.05840i | ||||
\(300\) | 9.13691 | − | 13.0291i | 0.527520 | − | 0.752233i | ||||
\(301\) | 5.26666 | + | 9.12211i | 0.303565 | + | 0.525790i | ||||
\(302\) | 0.134680 | + | 0.633620i | 0.00774997 | + | 0.0364608i | ||||
\(303\) | −4.29387 | − | 17.2968i | −0.246676 | − | 0.993672i | ||||
\(304\) | 11.3370 | − | 5.04755i | 0.650221 | − | 0.289497i | ||||
\(305\) | 2.14027 | + | 22.1921i | 0.122551 | + | 1.27072i | ||||
\(306\) | 0.194733 | − | 0.774311i | 0.0111321 | − | 0.0442644i | ||||
\(307\) | 28.7446i | 1.64054i | 0.571975 | + | 0.820271i | \(0.306177\pi\) | ||||
−0.571975 | + | 0.820271i | \(0.693823\pi\) | |||||||
\(308\) | 22.7812 | − | 2.39440i | 1.29808 | − | 0.136434i | ||||
\(309\) | 17.0556 | − | 13.2974i | 0.970260 | − | 0.756461i | ||||
\(310\) | −0.946661 | − | 0.316588i | −0.0537667 | − | 0.0179810i | ||||
\(311\) | −20.3634 | + | 4.32838i | −1.15470 | + | 0.245440i | −0.745182 | − | 0.666861i | \(-0.767637\pi\) |
−0.409521 | + | 0.912301i | \(0.634304\pi\) | |||||||
\(312\) | 8.05330 | + | 10.3294i | 0.455929 | + | 0.584788i | ||||
\(313\) | 5.22914 | − | 24.6012i | 0.295568 | − | 1.39054i | −0.540236 | − | 0.841513i | \(-0.681665\pi\) |
0.835805 | − | 0.549027i | \(-0.185002\pi\) | |||||||
\(314\) | 0.858458 | − | 2.64206i | 0.0484456 | − | 0.149100i | ||||
\(315\) | 29.1369 | − | 11.4140i | 1.64168 | − | 0.643104i | ||||
\(316\) | −1.93599 | − | 5.95838i | −0.108908 | − | 0.335185i | ||||
\(317\) | 23.8105 | − | 2.50258i | 1.33733 | − | 0.140559i | 0.591290 | − | 0.806459i | \(-0.298619\pi\) |
0.746041 | + | 0.665900i | \(0.231952\pi\) | |||||||
\(318\) | 3.83925 | + | 3.22818i | 0.215294 | + | 0.181027i | ||||
\(319\) | −21.4613 | − | 9.55518i | −1.20160 | − | 0.534987i | ||||
\(320\) | −7.93699 | + | 5.66323i | −0.443691 | + | 0.316584i | ||||
\(321\) | −20.8208 | − | 21.6045i | −1.16210 | − | 1.20585i | ||||
\(322\) | −3.30586 | − | 7.42509i | −0.184229 | − | 0.413784i | ||||
\(323\) | −2.55374 | − | 0.829759i | −0.142094 | − | 0.0461690i | ||||
\(324\) | 2.93805 | − | 16.2747i | 0.163225 | − | 0.904151i | ||||
\(325\) | 10.3238 | − | 22.1570i | 0.572659 | − | 1.22905i | ||||
\(326\) | −2.07073 | + | 3.58661i | −0.114687 | + | 0.198644i | ||||
\(327\) | 0.542233 | + | 0.289019i | 0.0299855 | + | 0.0159828i | ||||
\(328\) | 10.8066 | + | 1.13582i | 0.596697 | + | 0.0627154i | ||||
\(329\) | −0.787001 | + | 7.48781i | −0.0433888 | + | 0.412816i | ||||
\(330\) | 4.17042 | − | 0.105593i | 0.229574 | − | 0.00581272i | ||||
\(331\) | −0.998767 | − | 9.50263i | −0.0548972 | − | 0.522312i | −0.987069 | − | 0.160296i | \(-0.948755\pi\) |
0.932172 | − | 0.362016i | \(-0.117911\pi\) | |||||||
\(332\) | − | 2.51015i | − | 0.137763i | ||||||
\(333\) | 2.72174 | + | 9.56529i | 0.149150 | + | 0.524175i | ||||
\(334\) | 0.0878301 | + | 0.270313i | 0.00480585 | + | 0.0147909i | ||||
\(335\) | −5.16226 | + | 2.92170i | −0.282044 | + | 0.159630i | ||||
\(336\) | −24.6419 | + | 0.835400i | −1.34433 | + | 0.0455748i | ||||
\(337\) | −10.3602 | − | 9.32841i | −0.564359 | − | 0.508151i | 0.336837 | − | 0.941563i | \(-0.390643\pi\) |
−0.901196 | + | 0.433412i | \(0.857309\pi\) | |||||||
\(338\) | 3.26514 | + | 2.93994i | 0.177600 | + | 0.159912i | ||||
\(339\) | 18.5142 | − | 0.627662i | 1.00556 | − | 0.0340899i | ||||
\(340\) | 2.69560 | + | 0.306709i | 0.146190 | + | 0.0166336i | ||||
\(341\) | 0.914579 | + | 2.81478i | 0.0495272 | + | 0.152429i | ||||
\(342\) | 4.76900 | + | 1.19936i | 0.257878 | + | 0.0648542i | ||||
\(343\) | − | 36.2028i | − | 1.95477i | ||||||
\(344\) | −0.365088 | − | 3.47358i | −0.0196842 | − | 0.187283i | ||||
\(345\) | 5.57480 | + | 15.7862i | 0.300137 | + | 0.849899i | ||||
\(346\) | 0.0160712 | − | 0.152908i | 0.000863996 | − | 0.00822037i | ||||
\(347\) | −3.92771 | − | 0.412818i | −0.210850 | − | 0.0221613i | −0.00148564 | − | 0.999999i | \(-0.500473\pi\) |
−0.209365 | + | 0.977838i | \(0.567140\pi\) | |||||||
\(348\) | 24.6905 | + | 13.1604i | 1.32355 | + | 0.705474i | ||||
\(349\) | −9.65976 | + | 16.7312i | −0.517075 | + | 0.895600i | 0.482728 | + | 0.875770i | \(0.339646\pi\) |
−0.999803 | + | 0.0198299i | \(0.993688\pi\) | |||||||
\(350\) | −4.56036 | − | 8.22121i | −0.243762 | − | 0.439442i | ||||
\(351\) | 0.0775817 | − | 25.4029i | 0.00414100 | − | 1.35591i | ||||
\(352\) | −10.9886 | − | 3.57043i | −0.585697 | − | 0.190304i | ||||
\(353\) | −1.15180 | − | 2.58699i | −0.0613042 | − | 0.137691i | 0.880296 | − | 0.474426i | \(-0.157344\pi\) |
−0.941600 | + | 0.336734i | \(0.890678\pi\) | |||||||
\(354\) | 2.59384 | + | 2.69147i | 0.137861 | + | 0.143050i | ||||
\(355\) | −7.20459 | − | 22.8379i | −0.382380 | − | 1.21211i | ||||
\(356\) | 8.55221 | + | 3.80769i | 0.453266 | + | 0.201807i | ||||
\(357\) | 4.08328 | + | 3.43337i | 0.216110 | + | 0.181713i | ||||
\(358\) | −5.18346 | + | 0.544803i | −0.273954 | + | 0.0287938i | ||||
\(359\) | −2.23700 | − | 6.88478i | −0.118064 | − | 0.363365i | 0.874509 | − | 0.485008i | \(-0.161183\pi\) |
−0.992574 | + | 0.121644i | \(0.961183\pi\) | |||||||
\(360\) | −10.3655 | − | 0.472133i | −0.546311 | − | 0.0248836i | ||||
\(361\) | −0.760815 | + | 2.34155i | −0.0400429 | + | 0.123239i | ||||
\(362\) | −0.629426 | + | 2.96122i | −0.0330819 | + | 0.155638i | ||||
\(363\) | 4.10932 | + | 5.27074i | 0.215683 | + | 0.276642i | ||||
\(364\) | −40.9902 | + | 8.71273i | −2.14847 | + | 0.456671i | ||||
\(365\) | 12.4859 | + | 17.4990i | 0.653543 | + | 0.915938i | ||||
\(366\) | 5.48965 | − | 4.27999i | 0.286949 | − | 0.223719i | ||||
\(367\) | 0.706596 | − | 0.0742663i | 0.0368840 | − | 0.00387667i | −0.0860685 | − | 0.996289i | \(-0.527430\pi\) |
0.122953 | + | 0.992413i | \(0.460764\pi\) | |||||||
\(368\) | − | 13.1910i | − | 0.687629i | ||||||
\(369\) | −15.1301 | − | 14.6706i | −0.787641 | − | 0.763721i | ||||
\(370\) | 2.73980 | − | 1.19180i | 0.142436 | − | 0.0619586i | ||||
\(371\) | −30.6188 | + | 13.6324i | −1.58965 | + | 0.707757i | ||||
\(372\) | −0.849262 | − | 3.42104i | −0.0440322 | − | 0.177373i | ||||
\(373\) | 4.21391 | + | 19.8249i | 0.218188 | + | 1.02649i | 0.941771 | + | 0.336256i | \(0.109161\pi\) |
−0.723583 | + | 0.690238i | \(0.757506\pi\) | |||||||
\(374\) | 0.355608 | + | 0.615932i | 0.0183881 | + | 0.0318491i | ||||
\(375\) | 8.02061 | + | 17.6258i | 0.414183 | + | 0.910194i | ||||
\(376\) | 1.24827 | − | 2.16207i | 0.0643746 | − | 0.111500i | ||||
\(377\) | 40.8738 | + | 13.2807i | 2.10511 | + | 0.683990i | ||||
\(378\) | −7.88665 | − | 5.76687i | −0.405646 | − | 0.296616i | ||||
\(379\) | −14.6035 | − | 10.6101i | −0.750134 | − | 0.545004i | 0.145735 | − | 0.989324i | \(-0.453445\pi\) |
−0.895868 | + | 0.444320i | \(0.853445\pi\) | |||||||
\(380\) | −1.88903 | + | 16.6023i | −0.0969052 | + | 0.851679i | ||||
\(381\) | −5.88959 | + | 2.86513i | −0.301733 | + | 0.146785i | ||||
\(382\) | −0.391922 | + | 0.226276i | −0.0200524 | + | 0.0115773i | ||||
\(383\) | 1.64122 | − | 3.68625i | 0.0838626 | − | 0.188358i | −0.866747 | − | 0.498749i | \(-0.833793\pi\) |
0.950609 | + | 0.310390i | \(0.100460\pi\) | |||||||
\(384\) | 16.7025 | + | 6.76804i | 0.852346 | + | 0.345380i | ||||
\(385\) | −11.5557 | + | 25.3668i | −0.588931 | + | 1.29281i | ||||
\(386\) | 0.354432 | − | 1.09083i | 0.0180401 | − | 0.0555217i | ||||
\(387\) | −3.60139 | + | 5.73741i | −0.183069 | + | 0.291649i | ||||
\(388\) | −25.9334 | + | 8.42627i | −1.31657 | + | 0.427779i | ||||
\(389\) | 12.2881 | + | 13.6473i | 0.623030 | + | 0.691944i | 0.969213 | − | 0.246222i | \(-0.0791893\pi\) |
−0.346184 | + | 0.938167i | \(0.612523\pi\) | |||||||
\(390\) | −7.56745 | + | 0.989609i | −0.383193 | + | 0.0501108i | ||||
\(391\) | −1.90982 | + | 2.12107i | −0.0965835 | + | 0.107267i | ||||
\(392\) | −9.28661 | + | 20.8581i | −0.469045 | + | 1.05349i | ||||
\(393\) | −8.70087 | + | 3.15683i | −0.438901 | + | 0.159241i | ||||
\(394\) | 0.0650803 | + | 0.619198i | 0.00327870 | + | 0.0311947i | ||||
\(395\) | 7.44334 | + | 1.64896i | 0.374515 | + | 0.0829681i | ||||
\(396\) | 8.21287 | + | 12.2297i | 0.412712 | + | 0.614566i | ||||
\(397\) | −1.68812 | + | 2.32349i | −0.0847241 | + | 0.116613i | −0.849275 | − | 0.527950i | \(-0.822961\pi\) |
0.764551 | + | 0.644563i | \(0.222961\pi\) | |||||||
\(398\) | 3.62416 | − | 3.26320i | 0.181663 | − | 0.163570i | ||||
\(399\) | −21.1462 | + | 25.1490i | −1.05863 | + | 1.25903i | ||||
\(400\) | −1.33445 | − | 15.1995i | −0.0667224 | − | 0.759975i | ||||
\(401\) | 12.3674 | + | 21.4210i | 0.617601 | + | 1.06972i | 0.989922 | + | 0.141612i | \(0.0452285\pi\) |
−0.372322 | + | 0.928104i | \(0.621438\pi\) | |||||||
\(402\) | 1.63432 | + | 0.871121i | 0.0815127 | + | 0.0434476i | ||||
\(403\) | −2.20224 | − | 4.94631i | −0.109701 | − | 0.246393i | ||||
\(404\) | −15.2962 | − | 11.1133i | −0.761013 | − | 0.552908i | ||||
\(405\) | 15.2515 | + | 13.1298i | 0.757854 | + | 0.652424i | ||||
\(406\) | 13.3725 | − | 9.71569i | 0.663666 | − | 0.482181i | ||||
\(407\) | −7.67192 | − | 4.42938i | −0.380283 | − | 0.219556i | ||||
\(408\) | −0.773853 | − | 1.59074i | −0.0383114 | − | 0.0787535i | ||||
\(409\) | 16.7752 | − | 18.6307i | 0.829480 | − | 0.921231i | −0.168439 | − | 0.985712i | \(-0.553873\pi\) |
0.997919 | + | 0.0644814i | \(0.0205393\pi\) | |||||||
\(410\) | −3.76537 | + | 5.09023i | −0.185958 | + | 0.251388i | ||||
\(411\) | −8.12930 | − | 13.0391i | −0.400989 | − | 0.643172i | ||||
\(412\) | 4.77028 | − | 22.4424i | 0.235015 | − | 1.10566i | ||||
\(413\) | −23.7536 | + | 7.71802i | −1.16884 | + | 0.379779i | ||||
\(414\) | 3.22646 | − | 4.11240i | 0.158572 | − | 0.202113i | ||||
\(415\) | 2.63214 | + | 1.54991i | 0.129207 | + | 0.0760822i | ||||
\(416\) | 20.6754 | + | 4.39470i | 1.01370 | + | 0.215468i | ||||
\(417\) | 9.11486 | − | 13.4837i | 0.446357 | − | 0.660300i | ||||
\(418\) | −3.79354 | + | 2.19020i | −0.185548 | + | 0.107126i | ||||
\(419\) | −12.4533 | − | 5.54457i | −0.608384 | − | 0.270870i | 0.0793340 | − | 0.996848i | \(-0.474721\pi\) |
−0.687718 | + | 0.725978i | \(0.741387\pi\) | |||||||
\(420\) | 15.8662 | − | 29.1617i | 0.774191 | − | 1.42294i | ||||
\(421\) | 23.3855 | − | 10.4119i | 1.13974 | − | 0.507445i | 0.251971 | − | 0.967735i | \(-0.418921\pi\) |
0.887769 | + | 0.460290i | \(0.152255\pi\) | |||||||
\(422\) | −1.56659 | + | 2.15623i | −0.0762605 | + | 0.104964i | ||||
\(423\) | −4.49311 | + | 1.80470i | −0.218462 | + | 0.0877475i | ||||
\(424\) | 11.1136 | 0.539725 | ||||||||
\(425\) | −1.98603 | + | 2.63722i | −0.0963367 | + | 0.127924i | ||||
\(426\) | −4.81182 | + | 5.72267i | −0.233134 | + | 0.277264i | ||||
\(427\) | 9.67030 | + | 45.4952i | 0.467979 | + | 2.20167i | ||||
\(428\) | −31.6572 | − | 3.32730i | −1.53021 | − | 0.160831i | ||||
\(429\) | 15.7025 | + | 16.2935i | 0.758121 | + | 0.786659i | ||||
\(430\) | 1.85203 | + | 0.843679i | 0.0893129 | + | 0.0406858i | ||||
\(431\) | −19.3152 | + | 14.0333i | −0.930380 | + | 0.675961i | −0.946086 | − | 0.323916i | \(-0.895001\pi\) |
0.0157056 | + | 0.999877i | \(0.495001\pi\) | |||||||
\(432\) | −7.88630 | − | 13.7563i | −0.379430 | − | 0.661851i | ||||
\(433\) | −10.1886 | − | 14.0235i | −0.489635 | − | 0.673924i | 0.490686 | − | 0.871337i | \(-0.336746\pi\) |
−0.980321 | + | 0.197412i | \(0.936746\pi\) | |||||||
\(434\) | −2.03691 | − | 0.432959i | −0.0977749 | − | 0.0207827i | ||||
\(435\) | −29.0453 | + | 17.7644i | −1.39262 | + | 0.851740i | ||||
\(436\) | 0.637625 | − | 0.135531i | 0.0305367 | − | 0.00649077i | ||||
\(437\) | −13.0637 | − | 11.7626i | −0.624921 | − | 0.562682i | ||||
\(438\) | 2.52058 | − | 6.22041i | 0.120438 | − | 0.297223i | ||||
\(439\) | −14.6885 | − | 16.3133i | −0.701046 | − | 0.778591i | 0.282496 | − | 0.959268i | \(-0.408838\pi\) |
−0.983542 | + | 0.180678i | \(0.942171\pi\) | |||||||
\(440\) | 6.92162 | − | 6.12561i | 0.329975 | − | 0.292027i | ||||
\(441\) | 39.1412 | − | 20.7096i | 1.86387 | − | 0.986174i | ||||
\(442\) | −0.764775 | − | 1.05262i | −0.0363766 | − | 0.0500681i | ||||
\(443\) | 31.3345 | + | 18.0910i | 1.48875 | + | 0.859527i | 0.999917 | − | 0.0128529i | \(-0.00409132\pi\) |
0.488828 | + | 0.872380i | \(0.337425\pi\) | |||||||
\(444\) | 8.74086 | + | 5.90874i | 0.414823 | + | 0.280416i | ||||
\(445\) | −9.27335 | + | 6.61675i | −0.439599 | + | 0.313664i | ||||
\(446\) | 0.858538 | − | 8.16845i | 0.0406530 | − | 0.386787i | ||||
\(447\) | 30.1447 | + | 8.67706i | 1.42579 | + | 0.410411i | ||||
\(448\) | −15.1162 | + | 13.6107i | −0.714174 | + | 0.643045i | ||||
\(449\) | 34.7150 | 1.63830 | 0.819151 | − | 0.573578i | \(-0.194445\pi\) | ||||
0.819151 | + | 0.573578i | \(0.194445\pi\) | |||||||
\(450\) | 3.30171 | − | 5.06496i | 0.155644 | − | 0.238765i | ||||
\(451\) | 18.7729 | 0.883983 | ||||||||
\(452\) | 14.6051 | − | 13.1505i | 0.686964 | − | 0.618546i | ||||
\(453\) | −0.670658 | − | 2.70157i | −0.0315102 | − | 0.126931i | ||||
\(454\) | −0.334198 | + | 3.17968i | −0.0156847 | + | 0.149230i | ||||
\(455\) | 16.1735 | − | 48.3620i | 0.758226 | − | 2.26725i | ||||
\(456\) | 9.79742 | − | 4.76618i | 0.458806 | − | 0.223197i | ||||
\(457\) | 10.3841 | + | 5.99527i | 0.485748 | + | 0.280447i | 0.722809 | − | 0.691048i | \(-0.242851\pi\) |
−0.237061 | + | 0.971495i | \(0.576184\pi\) | |||||||
\(458\) | −0.152261 | − | 0.209570i | −0.00711470 | − | 0.00979255i | ||||
\(459\) | −0.723575 | + | 3.35375i | −0.0337736 | + | 0.156540i | ||||
\(460\) | 15.3049 | + | 9.01215i | 0.713596 | + | 0.420194i | ||||
\(461\) | 19.2452 | + | 21.3740i | 0.896338 | + | 0.995484i | 1.00000 | 0.000871824i | \(0.000277510\pi\) | |
−0.103661 | + | 0.994613i | \(0.533056\pi\) | |||||||
\(462\) | 8.61957 | − | 1.20246i | 0.401019 | − | 0.0559433i | ||||
\(463\) | 17.4369 | + | 15.7003i | 0.810362 | + | 0.729654i | 0.966106 | − | 0.258144i | \(-0.0831108\pi\) |
−0.155744 | + | 0.987797i | \(0.549778\pi\) | |||||||
\(464\) | 26.2401 | − | 5.57751i | 1.21817 | − | 0.258929i | ||||
\(465\) | 4.11168 | + | 1.22181i | 0.190675 | + | 0.0566600i | ||||
\(466\) | 9.76734 | + | 2.07611i | 0.452463 | + | 0.0961741i | ||||
\(467\) | −21.1565 | − | 29.1194i | −0.979005 | − | 1.34748i | −0.937364 | − | 0.348352i | \(-0.886741\pi\) |
−0.0416409 | − | 0.999133i | \(-0.513259\pi\) | |||||||
\(468\) | −17.2811 | − | 20.6802i | −0.798819 | − | 0.955941i | ||||
\(469\) | −10.0113 | + | 7.27363i | −0.462279 | + | 0.335865i | ||||
\(470\) | 0.716517 | + | 1.26599i | 0.0330505 | + | 0.0583958i | ||||
\(471\) | −3.30211 | + | 11.4717i | −0.152153 | + | 0.528590i | ||||
\(472\) | 8.23636 | + | 0.865677i | 0.379109 | + | 0.0398460i | ||||
\(473\) | −1.25458 | − | 5.90232i | −0.0576855 | − | 0.271389i | ||||
\(474\) | −0.811829 | − | 2.23757i | −0.0372886 | − | 0.102775i | ||||
\(475\) | −16.2427 | − | 12.2320i | −0.745268 | − | 0.561244i | ||||
\(476\) | 5.65980 | 0.259417 | ||||||||
\(477\) | −16.9583 | − | 13.3049i | −0.776466 | − | 0.609192i | ||||
\(478\) | 1.14004 | − | 1.56913i | 0.0521441 | − | 0.0717702i | ||||
\(479\) | −14.5503 | + | 6.47820i | −0.664819 | + | 0.295996i | −0.711265 | − | 0.702924i | \(-0.751877\pi\) |
0.0464457 | + | 0.998921i | \(0.485211\pi\) | |||||||
\(480\) | −13.2938 | + | 10.1824i | −0.606774 | + | 0.464760i | ||||
\(481\) | 14.8053 | + | 6.59173i | 0.675062 | + | 0.300557i | ||||
\(482\) | −3.31710 | + | 1.91513i | −0.151090 | + | 0.0872316i | ||||
\(483\) | 15.2786 | + | 31.4069i | 0.695201 | + | 1.42906i | ||||
\(484\) | 6.93543 | + | 1.47417i | 0.315247 | + | 0.0670078i | ||||
\(485\) | 7.17697 | − | 32.3966i | 0.325889 | − | 1.47105i | ||||
\(486\) | 0.906122 | − | 6.21759i | 0.0411025 | − | 0.282036i | ||||
\(487\) | −17.7128 | + | 5.75525i | −0.802645 | + | 0.260795i | −0.681480 | − | 0.731837i | \(-0.738663\pi\) |
−0.121166 | + | 0.992632i | \(0.538663\pi\) | |||||||
\(488\) | 3.20655 | − | 15.0856i | 0.145154 | − | 0.682894i | ||||
\(489\) | 8.37089 | − | 15.7048i | 0.378545 | − | 0.710194i | ||||
\(490\) | −7.72723 | − | 10.8297i | −0.349080 | − | 0.489235i | ||||
\(491\) | −26.3377 | + | 29.2510i | −1.18860 | + | 1.32008i | −0.252818 | + | 0.967514i | \(0.581357\pi\) |
−0.935787 | + | 0.352565i | \(0.885309\pi\) | |||||||
\(492\) | −22.3022 | − | 1.58234i | −1.00546 | − | 0.0713372i | ||||
\(493\) | −5.02683 | − | 2.90224i | −0.226397 | − | 0.130710i | ||||
\(494\) | 6.48312 | − | 4.71027i | 0.291690 | − | 0.211925i | ||||
\(495\) | −17.8951 | + | 1.06068i | −0.804327 | + | 0.0476741i | ||||
\(496\) | −2.73421 | − | 1.98652i | −0.122770 | − | 0.0891975i | ||||
\(497\) | −20.3200 | − | 45.6394i | −0.911475 | − | 2.04721i | ||||
\(498\) | −0.0323131 | − | 0.953145i | −0.00144798 | − | 0.0427115i | ||||
\(499\) | 12.0416 | + | 20.8566i | 0.539054 | + | 0.933669i | 0.998955 | + | 0.0456988i | \(0.0145515\pi\) |
−0.459901 | + | 0.887970i | \(0.652115\pi\) | |||||||
\(500\) | 18.5470 | + | 8.83605i | 0.829446 | + | 0.395160i | ||||
\(501\) | −0.416557 | − | 1.14812i | −0.0186104 | − | 0.0512940i | ||||
\(502\) | 2.10726 | − | 1.89739i | 0.0940518 | − | 0.0846846i | ||||
\(503\) | −5.34452 | + | 7.35611i | −0.238301 | + | 0.327993i | −0.911371 | − | 0.411586i | \(-0.864975\pi\) |
0.673070 | + | 0.739578i | \(0.264975\pi\) | |||||||
\(504\) | −21.5971 | + | 1.46603i | −0.962010 | + | 0.0653023i | ||||
\(505\) | 21.0981 | − | 9.17755i | 0.938854 | − | 0.408395i | ||||
\(506\) | 0.486698 | + | 4.63062i | 0.0216364 | + | 0.205856i | ||||
\(507\) | −14.4507 | − | 12.1507i | −0.641778 | − | 0.539630i | ||||
\(508\) | −2.82616 | + | 6.34767i | −0.125391 | + | 0.281632i | ||||
\(509\) | −1.35791 | + | 1.50811i | −0.0601884 | + | 0.0668460i | −0.772487 | − | 0.635031i | \(-0.780988\pi\) |
0.712299 | + | 0.701877i | \(0.247654\pi\) | |||||||
\(510\) | 1.02751 | + | 0.0817620i | 0.0454990 | + | 0.00362048i | ||||
\(511\) | 30.0080 | + | 33.3272i | 1.32747 | + | 1.47431i | ||||
\(512\) | 21.5265 | − | 6.99440i | 0.951347 | − | 0.309112i | ||||
\(513\) | −20.6558 | − | 4.45651i | −0.911978 | − | 0.196760i | ||||
\(514\) | 1.01042 | − | 3.10975i | 0.0445676 | − | 0.137165i | ||||
\(515\) | 20.5876 | + | 18.8593i | 0.907199 | + | 0.831040i | ||||
\(516\) | 0.992936 | + | 7.11767i | 0.0437116 | + | 0.313338i | ||||
\(517\) | 1.75431 | − | 3.94025i | 0.0771546 | − | 0.173292i | ||||
\(518\) | 5.39801 | − | 3.11654i | 0.237175 | − | 0.136933i | ||||
\(519\) | −0.0467578 | + | 0.659026i | −0.00205244 | + | 0.0289280i | ||||
\(520\) | −11.4218 | + | 12.4685i | −0.500879 | + | 0.546780i | ||||
\(521\) | −1.22226 | − | 0.888024i | −0.0535482 | − | 0.0389050i | 0.560689 | − | 0.828026i | \(-0.310536\pi\) |
−0.614237 | + | 0.789121i | \(0.710536\pi\) | |||||||
\(522\) | 9.54480 | + | 4.67939i | 0.417764 | + | 0.204811i | ||||
\(523\) | 0.0869563 | + | 0.0282538i | 0.00380233 | + | 0.00123545i | 0.310918 | − | 0.950437i | \(-0.399364\pi\) |
−0.307115 | + | 0.951672i | \(0.599364\pi\) | |||||||
\(524\) | −4.90976 | + | 8.50396i | −0.214484 | + | 0.371497i | ||||
\(525\) | 20.7822 | + | 34.6433i | 0.907009 | + | 1.51196i | ||||
\(526\) | 1.21371 | + | 2.10220i | 0.0529202 | + | 0.0916604i | ||||
\(527\) | 0.152039 | + | 0.715289i | 0.00662294 | + | 0.0311585i | ||||
\(528\) | 13.5735 | + | 3.90710i | 0.590712 | + | 0.170035i | ||||
\(529\) | 3.94155 | − | 1.75489i | 0.171372 | − | 0.0762996i | ||||
\(530\) | −3.28583 | + | 5.58017i | −0.142727 | + | 0.242387i | ||||
\(531\) | −11.5315 | − | 11.1813i | −0.500425 | − | 0.485227i | ||||
\(532\) | 34.8589i | 1.51132i | ||||||||
\(533\) | −34.1554 | + | 3.58988i | −1.47943 | + | 0.155495i | ||||
\(534\) | 3.29643 | + | 1.33575i | 0.142650 | + | 0.0578034i | ||||
\(535\) | 23.0359 | − | 31.1412i | 0.995931 | − | 1.34635i | ||||
\(536\) | 4.01360 | − | 0.853118i | 0.173361 | − | 0.0368491i | ||||
\(537\) | 22.1819 | − | 3.09443i | 0.957218 | − | 0.133535i | ||||
\(538\) | −2.55115 | + | 12.0022i | −0.109988 | + | 0.517453i | ||||
\(539\) | −12.1894 | + | 37.5151i | −0.525034 | + | 1.61589i | ||||
\(540\) | 21.3488 | + | 0.248263i | 0.918704 | + | 0.0106836i | ||||
\(541\) | 1.62629 | + | 5.00522i | 0.0699198 | + | 0.215191i | 0.979911 | − | 0.199438i | \(-0.0639115\pi\) |
−0.909991 | + | 0.414629i | \(0.863911\pi\) | |||||||
\(542\) | −3.06257 | + | 0.321889i | −0.131549 | + | 0.0138263i | ||||
\(543\) | 2.27203 | − | 12.8091i | 0.0975021 | − | 0.549689i | ||||
\(544\) | −2.60799 | − | 1.16115i | −0.111817 | − | 0.0497840i | ||||
\(545\) | −0.251588 | + | 0.752297i | −0.0107768 | + | 0.0322249i | ||||
\(546\) | −15.4525 | + | 3.83603i | −0.661305 | + | 0.164167i | ||||
\(547\) | −13.8432 | − | 31.0923i | −0.591891 | − | 1.32941i | −0.922630 | − | 0.385687i | \(-0.873964\pi\) |
0.330739 | − | 0.943722i | \(-0.392702\pi\) | |||||||
\(548\) | −15.5036 | − | 5.03742i | −0.662281 | − | 0.215188i | ||||
\(549\) | −22.9530 | + | 19.1804i | −0.979611 | + | 0.818598i | ||||
\(550\) | 1.02925 | + | 5.28645i | 0.0438875 | + | 0.225415i | ||||
\(551\) | 17.8750 | − | 30.9604i | 0.761500 | − | 1.31896i | ||||
\(552\) | −0.392389 | − | 11.5744i | −0.0167012 | − | 0.492638i | ||||
\(553\) | 15.8175 | + | 1.66249i | 0.672629 | + | 0.0706961i | ||||
\(554\) | −0.945726 | + | 8.99798i | −0.0401801 | + | 0.382288i | ||||
\(555\) | −11.5930 | + | 5.51726i | −0.492095 | + | 0.234195i | ||||
\(556\) | −1.80486 | − | 17.1721i | −0.0765430 | − | 0.728258i | ||||
\(557\) | − | 40.7325i | − | 1.72589i | −0.505297 | − | 0.862946i | \(-0.668617\pi\) | ||
0.505297 | − | 0.862946i | \(-0.331383\pi\) | |||||||
\(558\) | −0.366517 | − | 1.28809i | −0.0155159 | − | 0.0545292i | ||||
\(559\) | 3.41125 | + | 10.4987i | 0.144280 | + | 0.444049i | ||||
\(560\) | −6.35081 | − | 31.1909i | −0.268371 | − | 1.31806i | ||||
\(561\) | −1.61689 | − | 2.59344i | −0.0682653 | − | 0.109495i | ||||
\(562\) | −8.42474 | − | 7.58567i | −0.355376 | − | 0.319982i | ||||
\(563\) | 9.48718 | + | 8.54229i | 0.399837 | + | 0.360015i | 0.844382 | − | 0.535742i | \(-0.179968\pi\) |
−0.444545 | + | 0.895757i | \(0.646635\pi\) | |||||||
\(564\) | −2.41623 | + | 4.53314i | −0.101742 | + | 0.190879i | ||||
\(565\) | 4.77156 | + | 23.4347i | 0.200741 | + | 0.985905i | ||||
\(566\) | 2.37488 | + | 7.30912i | 0.0998236 | + | 0.307225i | ||||
\(567\) | 34.7101 | + | 23.6185i | 1.45769 | + | 0.991882i | ||||
\(568\) | 16.5656i | 0.695077i | ||||||||
\(569\) | 1.67690 | + | 15.9546i | 0.0702991 | + | 0.668852i | 0.971757 | + | 0.235984i | \(0.0758314\pi\) |
−0.901458 | + | 0.432867i | \(0.857502\pi\) | |||||||
\(570\) | −0.503574 | + | 6.32847i | −0.0210924 | + | 0.265070i | ||||
\(571\) | 4.80603 | − | 45.7263i | 0.201126 | − | 1.91359i | −0.170765 | − | 0.985312i | \(-0.554624\pi\) |
0.371892 | − | 0.928276i | \(-0.378709\pi\) | |||||||
\(572\) | 23.8750 | + | 2.50936i | 0.998264 | + | 0.104922i | ||||
\(573\) | 1.65022 | − | 1.02884i | 0.0689391 | − | 0.0429804i | ||||
\(574\) | −6.60437 | + | 11.4391i | −0.275661 | + | 0.477459i | ||||
\(575\) | −18.9003 | + | 10.4841i | −0.788195 | + | 0.437217i | ||||
\(576\) | −12.2833 | − | 4.49911i | −0.511806 | − | 0.187463i | ||||
\(577\) | −21.5727 | − | 7.00940i | −0.898084 | − | 0.291805i | −0.176638 | − | 0.984276i | \(-0.556522\pi\) |
−0.721446 | + | 0.692471i | \(0.756522\pi\) | |||||||
\(578\) | −2.71558 | − | 6.09928i | −0.112953 | − | 0.253697i | ||||
\(579\) | −1.36334 | + | 4.73634i | −0.0566586 | + | 0.196835i | ||||
\(580\) | −11.4560 | + | 34.2558i | −0.475685 | + | 1.42239i | ||||
\(581\) | 5.82147 | + | 2.59189i | 0.241515 | + | 0.107530i | ||||
\(582\) | −9.73885 | + | 3.53343i | −0.403688 | + | 0.146465i | ||||
\(583\) | 19.0953 | − | 2.00699i | 0.790845 | − | 0.0831211i | ||||
\(584\) | −4.59521 | − | 14.1426i | −0.190151 | − | 0.585226i | ||||
\(585\) | 32.3555 | − | 5.35182i | 1.33774 | − | 0.221270i | ||||
\(586\) | −3.36280 | + | 10.3496i | −0.138916 | + | 0.427540i | ||||
\(587\) | −3.19660 | + | 15.0388i | −0.131938 | + | 0.620718i | 0.861636 | + | 0.507528i | \(0.169440\pi\) |
−0.993573 | + | 0.113191i | \(0.963893\pi\) | |||||||
\(588\) | 17.6430 | − | 43.5404i | 0.727586 | − | 1.79557i | ||||
\(589\) | −4.40548 | + | 0.936414i | −0.181525 | + | 0.0385843i | ||||
\(590\) | −2.86980 | + | 3.87955i | −0.118148 | + | 0.159719i | ||||
\(591\) | −0.369650 | − | 2.64977i | −0.0152054 | − | 0.108997i | ||||
\(592\) | 10.0606 | − | 1.05741i | 0.413488 | − | 0.0434593i | ||||
\(593\) | − | 32.8164i | − | 1.34761i | −0.738909 | − | 0.673805i | \(-0.764659\pi\) | ||
0.738909 | − | 0.673805i | \(-0.235341\pi\) | |||||||
\(594\) | 3.27599 | + | 4.53809i | 0.134415 | + | 0.186200i | ||||
\(595\) | −3.49468 | + | 5.93486i | −0.143268 | + | 0.243306i | ||||
\(596\) | 30.4019 | − | 13.5358i | 1.24531 | − | 0.554448i | ||||
\(597\) | −15.0894 | + | 14.5420i | −0.617568 | + | 0.595165i | ||||
\(598\) | −1.77099 | − | 8.33186i | −0.0724212 | − | 0.340715i | ||||
\(599\) | 6.66854 | + | 11.5503i | 0.272469 | + | 0.471931i | 0.969494 | − | 0.245117i | \(-0.0788264\pi\) |
−0.697024 | + | 0.717048i | \(0.745493\pi\) | |||||||
\(600\) | −1.62304 | − | 13.2970i | −0.0662603 | − | 0.542848i | ||||
\(601\) | −3.22848 | + | 5.59189i | −0.131692 | + | 0.228098i | −0.924329 | − | 0.381596i | \(-0.875374\pi\) |
0.792637 | + | 0.609694i | \(0.208708\pi\) | |||||||
\(602\) | 4.03788 | + | 1.31199i | 0.164572 | + | 0.0534726i | ||||
\(603\) | −7.14569 | − | 3.50322i | −0.290995 | − | 0.142662i | ||||
\(604\) | −2.38910 | − | 1.73579i | −0.0972112 | − | 0.0706281i | ||||
\(605\) | −5.82814 | + | 6.36224i | −0.236948 | + | 0.258662i | ||||
\(606\) | −5.95126 | − | 4.02299i | −0.241753 | − | 0.163423i | ||||
\(607\) | −31.8170 | + | 18.3695i | −1.29141 | + | 0.745596i | −0.978904 | − | 0.204320i | \(-0.934502\pi\) |
−0.312506 | + | 0.949916i | \(0.601168\pi\) | |||||||
\(608\) | 7.15157 | − | 16.0627i | 0.290034 | − | 0.651428i | ||||
\(609\) | −56.0157 | + | 43.6725i | −2.26987 | + | 1.76970i | ||||
\(610\) | 6.62648 | + | 6.07020i | 0.268299 | + | 0.245775i | ||||
\(611\) | −2.43831 | + | 7.50435i | −0.0986435 | + | 0.303593i | ||||
\(612\) | 1.70227 | + | 3.21728i | 0.0688100 | + | 0.130051i | ||||
\(613\) | 27.5726 | − | 8.95887i | 1.11365 | − | 0.361846i | 0.306307 | − | 0.951933i | \(-0.400907\pi\) |
0.807339 | + | 0.590087i | \(0.200907\pi\) | |||||||
\(614\) | 7.75265 | + | 8.61019i | 0.312871 | + | 0.347479i | ||||
\(615\) | 15.4299 | − | 22.4090i | 0.622192 | − | 0.903618i | ||||
\(616\) | 12.9025 | − | 14.3297i | 0.519856 | − | 0.577359i | ||||
\(617\) | −4.61883 | + | 10.3741i | −0.185947 | + | 0.417644i | −0.982332 | − | 0.187146i | \(-0.940076\pi\) |
0.796385 | + | 0.604790i | \(0.206743\pi\) | |||||||
\(618\) | 1.52245 | − | 8.58314i | 0.0612419 | − | 0.345264i | ||||
\(619\) | 2.69301 | + | 25.6223i | 0.108241 | + | 1.02985i | 0.904960 | + | 0.425497i | \(0.139901\pi\) |
−0.796719 | + | 0.604350i | \(0.793433\pi\) | |||||||
\(620\) | 4.17289 | − | 1.81518i | 0.167587 | − | 0.0728994i | ||||
\(621\) | −13.2578 | + | 18.1311i | −0.532018 | + | 0.727576i | ||||
\(622\) | −4.93228 | + | 6.78870i | −0.197766 | + | 0.272202i | ||||
\(623\) | −17.6613 | + | 15.9023i | −0.707587 | + | 0.637114i | ||||
\(624\) | −25.4427 | − | 4.51295i | −1.01852 | − | 0.180663i | ||||
\(625\) | −20.7174 | + | 13.9924i | −0.828697 | + | 0.559698i | ||||
\(626\) | −5.06879 | − | 8.77940i | −0.202589 | − | 0.350895i | ||||
\(627\) | 15.9731 | − | 9.95849i | 0.637903 | − | 0.397704i | ||||
\(628\) | 5.15113 | + | 11.5696i | 0.205552 | + | 0.461678i | ||||
\(629\) | −1.77080 | − | 1.28656i | −0.0706064 | − | 0.0512986i | ||||
\(630\) | 5.64925 | − | 11.2774i | 0.225071 | − | 0.449302i | ||||
\(631\) | −13.7657 | + | 10.0014i | −0.548004 | + | 0.398148i | −0.827049 | − | 0.562130i | \(-0.809982\pi\) |
0.279045 | + | 0.960278i | \(0.409982\pi\) | |||||||
\(632\) | −4.56722 | − | 2.63688i | −0.181674 | − | 0.104890i | ||||
\(633\) | 6.41404 | − | 9.48836i | 0.254935 | − | 0.377128i | ||||
\(634\) | 6.45725 | − | 7.17150i | 0.256450 | − | 0.284817i | ||||
\(635\) | −4.91112 | − | 6.88292i | −0.194892 | − | 0.273140i | ||||
\(636\) | −22.8542 | + | 0.774794i | −0.906230 | + | 0.0307226i | ||||
\(637\) | 15.0035 | − | 70.5857i | 0.594459 | − | 2.79671i | ||||
\(638\) | −9.00564 | + | 2.92611i | −0.356537 | + | 0.115846i | ||||
\(639\) | 19.8319 | − | 25.2775i | 0.784539 | − | 0.999961i | ||||
\(640\) | −5.03220 | + | 22.7151i | −0.198915 | + | 0.897895i | ||||
\(641\) | −23.3227 | − | 4.95739i | −0.921190 | − | 0.195805i | −0.277177 | − | 0.960819i | \(-0.589399\pi\) |
−0.644014 | + | 0.765014i | \(0.722732\pi\) | |||||||
\(642\) | −12.0636 | − | 0.855908i | −0.476111 | − | 0.0337800i | ||||
\(643\) | −8.90132 | + | 5.13918i | −0.351034 | + | 0.202670i | −0.665141 | − | 0.746718i | \(-0.731628\pi\) |
0.314107 | + | 0.949388i | \(0.398295\pi\) | |||||||
\(644\) | 33.8496 | + | 15.0708i | 1.33386 | + | 0.593874i | ||||
\(645\) | −8.07668 | − | 3.35366i | −0.318019 | − | 0.132050i | ||||
\(646\) | −0.988741 | + | 0.440216i | −0.0389015 | + | 0.0173201i | ||||
\(647\) | −3.54997 | + | 4.88611i | −0.139564 | + | 0.192093i | −0.873077 | − | 0.487582i | \(-0.837879\pi\) |
0.733514 | + | 0.679675i | \(0.237879\pi\) | |||||||
\(648\) | −7.32899 | − | 11.8358i | −0.287910 | − | 0.464954i | ||||
\(649\) | 14.3079 | 0.561635 | ||||||||
\(650\) | −2.88352 | − | 9.42132i | −0.113101 | − | 0.369535i | ||||
\(651\) | 8.81088 | + | 1.56285i | 0.345326 | + | 0.0612527i | ||||
\(652\) | −3.92541 | − | 18.4676i | −0.153731 | − | 0.723248i | ||||
\(653\) | −0.920513 | − | 0.0967498i | −0.0360225 | − | 0.00378611i | 0.0865001 | − | 0.996252i | \(-0.472432\pi\) |
−0.122523 | + | 0.992466i | \(0.539098\pi\) | |||||||
\(654\) | 0.240371 | − | 0.0596715i | 0.00939927 | − | 0.00233334i | ||||
\(655\) | −5.88567 | − | 10.3992i | −0.229972 | − | 0.406330i | ||||
\(656\) | −17.3431 | + | 12.6005i | −0.677133 | + | 0.491966i | ||||
\(657\) | −9.91935 | + | 27.0815i | −0.386991 | + | 1.05655i | ||||
\(658\) | 1.78378 | + | 2.45517i | 0.0695391 | + | 0.0957123i | ||||
\(659\) | −42.6826 | − | 9.07246i | −1.66268 | − | 0.353413i | −0.721785 | − | 0.692117i | \(-0.756678\pi\) |
−0.940893 | + | 0.338704i | \(0.890011\pi\) | |||||||
\(660\) | −13.8067 | + | 13.0794i | −0.537425 | + | 0.509114i | ||||
\(661\) | 39.8160 | − | 8.46316i | 1.54866 | − | 0.329179i | 0.647298 | − | 0.762237i | \(-0.275899\pi\) |
0.901366 | + | 0.433058i | \(0.142565\pi\) | |||||||
\(662\) | −2.86211 | − | 2.57705i | −0.111239 | − | 0.100160i | ||||
\(663\) | 3.43770 | + | 4.40930i | 0.133509 | + | 0.171243i | ||||
\(664\) | −1.41387 | − | 1.57027i | −0.0548690 | − | 0.0609382i | ||||
\(665\) | −36.5529 | − | 21.5238i | −1.41746 | − | 0.834658i | ||||
\(666\) | 3.39511 | + | 2.13112i | 0.131558 | + | 0.0825793i | ||||
\(667\) | −22.3360 | − | 30.7429i | −0.864853 | − | 1.19037i | ||||
\(668\) | −1.12213 | − | 0.647863i | −0.0434166 | − | 0.0250666i | ||||
\(669\) | −2.49784 | + | 35.2057i | −0.0965720 | + | 1.36113i | ||||
\(670\) | −0.758301 | + | 2.26747i | −0.0292957 | + | 0.0876001i | ||||
\(671\) | 2.78515 | − | 26.4990i | 0.107520 | − | 1.02298i | ||||
\(672\) | −25.1539 | + | 24.2414i | −0.970333 | + | 0.935133i | ||||
\(673\) | 0.570787 | − | 0.513939i | 0.0220022 | − | 0.0198109i | −0.658056 | − | 0.752969i | \(-0.728621\pi\) |
0.680058 | + | 0.733158i | \(0.261954\pi\) | |||||||
\(674\) | −5.61926 | −0.216446 | ||||||||
\(675\) | −13.4423 | + | 22.2330i | −0.517393 | + | 0.855748i | ||||
\(676\) | −20.0300 | −0.770384 | ||||||||
\(677\) | 20.3123 | − | 18.2893i | 0.780664 | − | 0.702913i | −0.179066 | − | 0.983837i | \(-0.557307\pi\) |
0.959730 | + | 0.280924i | \(0.0906408\pi\) | |||||||
\(678\) | 5.37649 | − | 5.18145i | 0.206483 | − | 0.198992i | ||||
\(679\) | 7.23585 | − | 68.8445i | 0.277686 | − | 2.64201i | ||||
\(680\) | 1.85903 | − | 1.32646i | 0.0712907 | − | 0.0508676i | ||||
\(681\) | 0.972318 | − | 13.7043i | 0.0372593 | − | 0.525150i | ||||
\(682\) | 1.03312 | + | 0.596474i | 0.0395603 | + | 0.0228402i | ||||
\(683\) | −1.63289 | − | 2.24748i | −0.0624809 | − | 0.0859975i | 0.776633 | − | 0.629953i | \(-0.216926\pi\) |
−0.839114 | + | 0.543956i | \(0.816926\pi\) | |||||||
\(684\) | −19.8153 | + | 10.4843i | −0.757658 | + | 0.400877i | ||||
\(685\) | 14.8550 | − | 13.1467i | 0.567582 | − | 0.502308i | ||||
\(686\) | −9.76418 | − | 10.8442i | −0.372798 | − | 0.414034i | ||||
\(687\) | 0.684423 | + | 0.877862i | 0.0261124 | + | 0.0334925i | ||||
\(688\) | 5.12068 | + | 4.61068i | 0.195224 | + | 0.175781i | ||||
\(689\) | −34.3580 | + | 7.30302i | −1.30894 | + | 0.278223i | ||||
\(690\) | 5.92753 | + | 3.22504i | 0.225657 | + | 0.122775i | ||||
\(691\) | −33.1731 | − | 7.05117i | −1.26197 | − | 0.268239i | −0.472114 | − | 0.881537i | \(-0.656509\pi\) |
−0.789851 | + | 0.613298i | \(0.789842\pi\) | |||||||
\(692\) | 0.411990 | + | 0.567055i | 0.0156615 | + | 0.0215562i | ||||
\(693\) | −36.8430 | + | 6.41910i | −1.39955 | + | 0.243842i | ||||
\(694\) | −1.28785 | + | 0.935677i | −0.0488861 | + | 0.0355178i | ||||
\(695\) | 19.1210 | + | 8.71043i | 0.725301 | + | 0.330406i | ||||
\(696\) | 22.8583 | − | 5.67451i | 0.866443 | − | 0.215092i | ||||
\(697\) | 4.61302 | + | 0.484848i | 0.174730 | + | 0.0183649i | ||||
\(698\) | 1.61904 | + | 7.61699i | 0.0612816 | + | 0.288307i | ||||
\(699\) | −42.2497 | − | 7.49411i | −1.59803 | − | 0.283453i | ||||
\(700\) | 40.5283 | + | 13.9412i | 1.53182 | + | 0.526928i | ||||
\(701\) | −2.42588 | −0.0916243 | −0.0458121 | − | 0.998950i | \(-0.514588\pi\) | ||||
−0.0458121 | + | 0.998950i | \(0.514588\pi\) | |||||||
\(702\) | −6.82812 | − | 7.63013i | −0.257711 | − | 0.287981i | ||||
\(703\) | 7.92396 | − | 10.9064i | 0.298858 | − | 0.411343i | ||||
\(704\) | 10.6452 | − | 4.73954i | 0.401205 | − | 0.178628i | ||||
\(705\) | −3.26152 | − | 5.33267i | −0.122836 | − | 0.200840i | ||||
\(706\) | −1.04274 | − | 0.464259i | −0.0392441 | − | 0.0174726i | ||||
\(707\) | 41.5679 | − | 23.9992i | 1.56332 | − | 0.902583i | ||||
\(708\) | −16.9978 | − | 1.20599i | −0.638815 | − | 0.0453238i | ||||
\(709\) | 28.2910 | + | 6.01343i | 1.06249 | + | 0.225839i | 0.705820 | − | 0.708391i | \(-0.250579\pi\) |
0.356670 | + | 0.934231i | \(0.383912\pi\) | |||||||
\(710\) | −8.31763 | − | 4.89775i | −0.312155 | − | 0.183809i | ||||
\(711\) | 3.81231 | + | 9.49139i | 0.142973 | + | 0.355955i | ||||
\(712\) | 7.49470 | − | 2.43517i | 0.280876 | − | 0.0912620i | ||||
\(713\) | −0.995356 | + | 4.68278i | −0.0372764 | + | 0.175372i | ||||
\(714\) | 2.14912 | − | 0.0728584i | 0.0804287 | − | 0.00272666i | ||||
\(715\) | −17.3731 | + | 23.4859i | −0.649717 | + | 0.878321i | ||||
\(716\) | 15.8990 | − | 17.6576i | 0.594172 | − | 0.659895i | ||||
\(717\) | −4.66761 | + | 6.90485i | −0.174315 | + | 0.257866i | ||||
\(718\) | −2.52695 | − | 1.45894i | −0.0943050 | − | 0.0544470i | ||||
\(719\) | 41.6638 | − | 30.2705i | 1.55380 | − | 1.12890i | 0.612926 | − | 0.790140i | \(-0.289992\pi\) |
0.940873 | − | 0.338761i | \(-0.110008\pi\) | |||||||
\(720\) | 15.8202 | − | 12.9912i | 0.589584 | − | 0.484153i | ||||
\(721\) | 47.1221 | + | 34.2362i | 1.75492 | + | 1.27502i | ||||
\(722\) | 0.403639 | + | 0.906588i | 0.0150219 | + | 0.0337397i | ||||
\(723\) | 13.9670 | − | 8.70777i | 0.519437 | − | 0.323845i | ||||
\(724\) | −6.90062 | − | 11.9522i | −0.256460 | − | 0.444201i | ||||
\(725\) | −28.8470 | − | 33.1642i | −1.07135 | − | 1.23169i | ||||
\(726\) | 2.65247 | + | 0.470487i | 0.0984424 | + | 0.0174614i | ||||
\(727\) | 6.05582 | − | 5.45269i | 0.224598 | − | 0.202229i | −0.549148 | − | 0.835725i | \(-0.685048\pi\) |
0.773746 | + | 0.633496i | \(0.218381\pi\) | |||||||
\(728\) | −20.7345 | + | 28.5386i | −0.768472 | + | 1.05771i | ||||
\(729\) | −2.98623 | + | 26.8344i | −0.110601 | + | 0.993865i | ||||
\(730\) | 8.45965 | + | 1.87411i | 0.313106 | + | 0.0693638i | ||||
\(731\) | −0.155844 | − | 1.48276i | −0.00576411 | − | 0.0548419i | ||||
\(732\) | −5.54230 | + | 31.2459i | −0.204849 | + | 1.15488i | ||||
\(733\) | −1.08878 | + | 2.44543i | −0.0402149 | + | 0.0903241i | −0.932536 | − | 0.361077i | \(-0.882409\pi\) |
0.892321 | + | 0.451401i | \(0.149076\pi\) | |||||||
\(734\) | 0.191624 | − | 0.212820i | 0.00707298 | − | 0.00785534i | ||||
\(735\) | 34.7625 | + | 45.3847i | 1.28224 | + | 1.67404i | ||||
\(736\) | −12.5057 | − | 13.8890i | −0.460968 | − | 0.511957i | ||||
\(737\) | 6.74206 | − | 2.19063i | 0.248347 | − | 0.0806928i | ||||
\(738\) | −8.48886 | − | 0.313743i | −0.312479 | − | 0.0115491i | ||||
\(739\) | −13.1689 | + | 40.5297i | −0.484426 | + | 1.49091i | 0.348385 | + | 0.937351i | \(0.386730\pi\) |
−0.832811 | + | 0.553557i | \(0.813270\pi\) | |||||||
\(740\) | −5.64657 | + | 12.3953i | −0.207572 | + | 0.455659i | ||||
\(741\) | −27.1570 | + | 21.1729i | −0.997638 | + | 0.777806i | ||||
\(742\) | −5.49482 | + | 12.3416i | −0.201721 | + | 0.453074i | ||||
\(743\) | −18.4359 | + | 10.6440i | −0.676347 | + | 0.390489i | −0.798477 | − | 0.602025i | \(-0.794361\pi\) |
0.122130 | + | 0.992514i | \(0.461027\pi\) | |||||||
\(744\) | −2.45821 | − | 1.66173i | −0.0901224 | − | 0.0609219i | ||||
\(745\) | −4.57823 | + | 40.2371i | −0.167734 | + | 1.47417i | ||||
\(746\) | 6.60917 | + | 4.80184i | 0.241979 | + | 0.175808i | ||||
\(747\) | 0.277547 | + | 4.08873i | 0.0101549 | + | 0.149599i | ||||
\(748\) | −3.08362 | − | 1.00193i | −0.112748 | − | 0.0366342i | ||||
\(749\) | 40.4045 | − | 69.9827i | 1.47635 | − | 2.55711i | ||||
\(750\) | 7.15632 | + | 3.11643i | 0.261312 | + | 0.113796i | ||||
\(751\) | −7.90783 | − | 13.6968i | −0.288561 | − | 0.499802i | 0.684906 | − | 0.728632i | \(-0.259843\pi\) |
−0.973466 | + | 0.228830i | \(0.926510\pi\) | |||||||
\(752\) | 1.02402 | + | 4.81764i | 0.0373422 | + | 0.175681i | ||||
\(753\) | −8.77373 | + | 8.45545i | −0.319732 | + | 0.308134i | ||||
\(754\) | 15.8253 | − | 7.04586i | 0.576322 | − | 0.256595i | ||||
\(755\) | 3.29531 | − | 1.43344i | 0.119929 | − | 0.0521681i | ||||
\(756\) | 44.3104 | − | 4.52044i | 1.61155 | − | 0.164407i | ||||
\(757\) | − | 50.3254i | − | 1.82911i | −0.404464 | − | 0.914554i | \(-0.632542\pi\) | ||
0.404464 | − | 0.914554i | \(-0.367458\pi\) | |||||||
\(758\) | −7.23599 | + | 0.760533i | −0.262823 | + | 0.0276238i | ||||
\(759\) | −2.76440 | − | 19.8161i | −0.100341 | − | 0.719278i | ||||
\(760\) | 8.16972 | + | 11.4498i | 0.296347 | + | 0.415329i | ||||
\(761\) | −13.6288 | + | 2.89690i | −0.494045 | + | 0.105013i | −0.448195 | − | 0.893936i | \(-0.647933\pi\) |
−0.0458502 | + | 0.998948i | \(0.514600\pi\) | |||||||
\(762\) | −0.991426 | + | 2.44669i | −0.0359156 | + | 0.0886343i | ||||
\(763\) | −0.344066 | + | 1.61870i | −0.0124560 | + | 0.0586010i | ||||
\(764\) | 0.637534 | − | 1.96213i | 0.0230652 | − | 0.0709873i | ||||
\(765\) | −4.42471 | − | 0.201539i | −0.159976 | − | 0.00728665i | ||||
\(766\) | −0.502596 | − | 1.54683i | −0.0181595 | − | 0.0558893i | ||||
\(767\) | −26.0318 | + | 2.73605i | −0.939953 | + | 0.0987931i | ||||
\(768\) | −7.37090 | + | 2.67429i | −0.265974 | + | 0.0965002i | ||||
\(769\) | −2.54315 | − | 1.13228i | −0.0917084 | − | 0.0408312i | 0.360370 | − | 0.932810i | \(-0.382651\pi\) |
−0.452078 | + | 0.891978i | \(0.649317\pi\) | |||||||
\(770\) | 3.38024 | + | 10.7150i | 0.121815 | + | 0.386143i | ||||
\(771\) | −3.88663 | + | 13.5024i | −0.139974 | + | 0.486278i | ||||
\(772\) | 2.12675 | + | 4.77675i | 0.0765433 | + | 0.171919i | ||||
\(773\) | 11.4468 | + | 3.71930i | 0.411713 | + | 0.133774i | 0.507548 | − | 0.861623i | \(-0.330552\pi\) |
−0.0958346 | + | 0.995397i | \(0.530552\pi\) | |||||||
\(774\) | 0.468659 | + | 2.68991i | 0.0168456 | + | 0.0966869i | ||||
\(775\) | −0.673184 | + | 5.49648i | −0.0241815 | + | 0.197440i | ||||
\(776\) | −11.4768 | + | 19.8785i | −0.411995 | + | 0.713596i | ||||
\(777\) | −22.7288 | + | 14.1704i | −0.815392 | + | 0.508360i | ||||
\(778\) | 7.36156 | + | 0.773731i | 0.263925 | + | 0.0277396i | ||||
\(779\) | −2.98619 | + | 28.4117i | −0.106991 | + | 1.01795i | ||||
\(780\) | 22.6187 | − | 26.4368i | 0.809881 | − | 0.946588i | ||||
\(781\) | 2.99156 | + | 28.4628i | 0.107046 | + | 1.01848i | ||||
\(782\) | 1.15044i | 0.0411396i | ||||||||
\(783\) | −41.6729 | − | 18.7067i | −1.48927 | − | 0.668523i | ||||
\(784\) | −13.9193 | − | 42.8393i | −0.497119 | − | 1.52997i | ||||
\(785\) | −15.3125 | − | 1.74228i | −0.546526 | − | 0.0621845i | ||||
\(786\) | −1.75484 | + | 3.29229i | −0.0625932 | + | 0.117432i | ||||
\(787\) | 12.1157 | + | 10.9090i | 0.431876 | + | 0.388863i | 0.856198 | − | 0.516649i | \(-0.172821\pi\) |
−0.424321 | + | 0.905512i | \(0.639487\pi\) | |||||||
\(788\) | −2.10931 | − | 1.89923i | −0.0751412 | − | 0.0676574i | ||||
\(789\) | −5.51853 | − | 8.85153i | −0.196465 | − | 0.315123i | ||||
\(790\) | 2.67432 | − | 1.51360i | 0.0951480 | − | 0.0538513i | ||||
\(791\) | 15.4175 | + | 47.4502i | 0.548184 | + | 1.68714i | ||||
\(792\) | 12.0262 | + | 3.02450i | 0.427333 | + | 0.107471i | ||||
\(793\) | 48.7447i | 1.73097i | ||||||||
\(794\) | 0.121004 | + | 1.15128i | 0.00429428 | + | 0.0408574i | ||||
\(795\) | 13.2991 | − | 24.4433i | 0.471669 | − | 0.866916i | ||||
\(796\) | −2.32392 | + | 22.1106i | −0.0823690 | + | 0.783689i | ||||
\(797\) | 25.7831 | + | 2.70991i | 0.913284 | + | 0.0959900i | 0.549500 | − | 0.835494i | \(-0.314818\pi\) |
0.363783 | + | 0.931484i | \(0.381485\pi\) | |||||||
\(798\) | 0.448737 | + | 13.2365i | 0.0158851 | + | 0.468566i | ||||
\(799\) | 0.532847 | − | 0.922918i | 0.0188508 | − | 0.0326505i | ||||
\(800\) | −15.8150 | − | 14.7387i | −0.559143 | − | 0.521091i | ||||
\(801\) | −14.3515 | − | 5.25663i | −0.507085 | − | 0.185734i | ||||
\(802\) | 9.48198 | + | 3.08088i | 0.334820 | + | 0.108790i | ||||
\(803\) | −10.4494 | − | 23.4698i | −0.368752 | − | 0.828231i | ||||
\(804\) | −8.19418 | + | 2.03418i | −0.288986 | + | 0.0717400i | ||||
\(805\) | −36.7039 | + | 26.1891i | −1.29364 | + | 0.923045i | ||||
\(806\) | −1.99372 | − | 0.887661i | −0.0702258 | − | 0.0312665i | ||||
\(807\) | 9.20886 | − | 51.9169i | 0.324167 | − | 1.82756i | ||||
\(808\) | −15.8285 | + | 1.66364i | −0.556844 | + | 0.0585266i | ||||
\(809\) | 15.8564 | + | 48.8010i | 0.557482 | + | 1.71575i | 0.689298 | + | 0.724478i | \(0.257919\pi\) |
−0.131817 | + | 0.991274i | \(0.542081\pi\) | |||||||
\(810\) | 8.10966 | − | 0.180552i | 0.284944 | − | 0.00634395i | ||||
\(811\) | 6.90998 | − | 21.2667i | 0.242642 | − | 0.746776i | −0.753373 | − | 0.657593i | \(-0.771575\pi\) |
0.996015 | − | 0.0891825i | \(-0.0284254\pi\) | |||||||
\(812\) | −15.6670 | + | 73.7075i | −0.549804 | + | 2.58663i | ||||
\(813\) | 13.1058 | − | 1.82830i | 0.459641 | − | 0.0641212i | ||||
\(814\) | −3.49269 | + | 0.742395i | −0.122419 | + | 0.0260209i | ||||
\(815\) | 21.7889 | + | 7.28677i | 0.763231 | + | 0.255244i | ||||
\(816\) | 3.23447 | + | 1.31064i | 0.113229 | + | 0.0458817i | ||||
\(817\) | 9.13236 | − | 0.959849i | 0.319501 | − | 0.0335809i | ||||
\(818\) | − | 10.1051i | − | 0.353315i | ||||||
\(819\) | 65.8045 | − | 18.7242i | 2.29940 | − | 0.654278i | ||||
\(820\) | −2.77090 | − | 28.7311i | −0.0967641 | − | 1.00333i | ||||
\(821\) | 37.7932 | − | 16.8266i | 1.31899 | − | 0.587253i | 0.378039 | − | 0.925790i | \(-0.376599\pi\) |
0.940953 | + | 0.338537i | \(0.109932\pi\) | |||||||
\(822\) | −5.95181 | − | 1.71321i | −0.207593 | − | 0.0597551i | ||||
\(823\) | 4.31924 | + | 20.3204i | 0.150559 | + | 0.708325i | 0.987059 | + | 0.160358i | \(0.0512648\pi\) |
−0.836500 | + | 0.547967i | \(0.815402\pi\) | |||||||
\(824\) | −9.65682 | − | 16.7261i | −0.336411 | − | 0.582682i | ||||
\(825\) | −5.18997 | − | 22.5536i | −0.180692 | − | 0.785217i | ||||
\(826\) | −5.03357 | + | 8.71840i | −0.175140 | + | 0.303352i | ||||
\(827\) | 35.1321 | + | 11.4151i | 1.22166 | + | 0.396942i | 0.847687 | − | 0.530497i | \(-0.177995\pi\) |
0.373975 | + | 0.927439i | \(0.377995\pi\) | |||||||
\(828\) | 1.61383 | + | 23.7744i | 0.0560846 | + | 0.826218i | ||||
\(829\) | 0.494171 | + | 0.359036i | 0.0171633 | + | 0.0124698i | 0.596334 | − | 0.802737i | \(-0.296623\pi\) |
−0.579171 | + | 0.815206i | \(0.696623\pi\) | |||||||
\(830\) | 1.20646 | − | 0.245648i | 0.0418768 | − | 0.00852656i | ||||
\(831\) | 2.75150 | − | 38.7810i | 0.0954486 | − | 1.34530i | ||||
\(832\) | −18.4615 | + | 10.6587i | −0.640036 | + | 0.369525i | ||||
\(833\) | −3.96416 | + | 8.90365i | −0.137350 | + | 0.308493i | ||||
\(834\) | −0.906388 | − | 6.49727i | −0.0313856 | − | 0.224982i | ||||
\(835\) | 1.37222 | − | 0.776639i | 0.0474875 | − | 0.0268767i | ||||
\(836\) | 6.17091 | − | 18.9921i | 0.213425 | − | 0.656855i | ||||
\(837\) | 1.76161 | + | 5.47854i | 0.0608900 | + | 0.189366i | ||||
\(838\) | −5.22569 | + | 1.69793i | −0.180518 | + | 0.0586540i | ||||
\(839\) | 15.6554 | + | 17.3871i | 0.540486 | + | 0.600270i | 0.950083 | − | 0.311996i | \(-0.100998\pi\) |
−0.409598 | + | 0.912266i | \(0.634331\pi\) | |||||||
\(840\) | −6.50031 | − | 27.1794i | −0.224282 | − | 0.937777i | ||||
\(841\) | 32.3060 | − | 35.8794i | 1.11400 | − | 1.23722i | ||||
\(842\) | 4.19674 | − | 9.42604i | 0.144629 | − | 0.324843i | ||||
\(843\) | 37.2858 | + | 31.3512i | 1.28419 | + | 1.07979i | ||||
\(844\) | −1.27006 | − | 12.0838i | −0.0437173 | − | 0.415942i | ||||
\(845\) | 12.3676 | − | 21.0034i | 0.425460 | − | 0.722539i | ||||
\(846\) | −0.859127 | + | 1.75241i | −0.0295374 | + | 0.0602490i | ||||
\(847\) | −10.5801 | + | 14.5623i | −0.363537 | + | 0.500365i | ||||
\(848\) | −16.2937 | + | 14.6709i | −0.559529 | + | 0.503802i | ||||
\(849\) | −11.2635 | − | 31.0444i | −0.386561 | − | 1.06544i | ||||
\(850\) | 0.116382 | + | 1.32561i | 0.00399188 | + | 0.0454679i | ||||
\(851\) | −7.16481 | − | 12.4098i | −0.245606 | − | 0.425403i | ||||
\(852\) | −1.15488 | − | 34.0658i | −0.0395657 | − | 1.16708i | ||||
\(853\) | 0.194310 | + | 0.436426i | 0.00665303 | + | 0.0149430i | 0.916841 | − | 0.399252i | \(-0.130730\pi\) |
−0.910188 | + | 0.414195i | \(0.864063\pi\) | |||||||
\(854\) | 15.1671 | + | 11.0195i | 0.519006 | + | 0.377080i | ||||
\(855\) | 1.24128 | − | 27.2519i | 0.0424510 | − | 0.931996i | ||||
\(856\) | −21.6778 | + | 15.7498i | −0.740932 | + | 0.538319i | ||||
\(857\) | 40.5723 | + | 23.4244i | 1.38592 | + | 0.800163i | 0.992853 | − | 0.119346i | \(-0.0380798\pi\) |
0.393070 | + | 0.919509i | \(0.371413\pi\) | |||||||
\(858\) | 9.09802 | + | 0.645503i | 0.310601 | + | 0.0220371i | ||||
\(859\) | 8.78606 | − | 9.75790i | 0.299776 | − | 0.332935i | −0.574372 | − | 0.818594i | \(-0.694754\pi\) |
0.874148 | + | 0.485659i | \(0.161420\pi\) | |||||||
\(860\) | −8.84803 | + | 2.79125i | −0.301715 | + | 0.0951810i | ||||
\(861\) | 26.6980 | − | 50.0886i | 0.909867 | − | 1.70702i | ||||
\(862\) | −2.00080 | + | 9.41301i | −0.0681474 | + | 0.320608i | ||||
\(863\) | 4.35551 | − | 1.41519i | 0.148263 | − | 0.0481737i | −0.233945 | − | 0.972250i | \(-0.575164\pi\) |
0.382209 | + | 0.924076i | \(0.375164\pi\) | |||||||
\(864\) | −21.3453 | − | 7.00765i | −0.726182 | − | 0.238405i | ||||
\(865\) | −0.848999 | + | 0.0818797i | −0.0288668 | + | 0.00278399i | ||||
\(866\) | −6.83415 | − | 1.45264i | −0.232234 | − | 0.0493628i | ||||
\(867\) | 12.5505 | + | 25.7990i | 0.426237 | + | 0.876179i | ||||
\(868\) | 8.22150 | − | 4.74669i | 0.279056 | − | 0.161113i | ||||
\(869\) | −8.32352 | − | 3.70587i | −0.282356 | − | 0.125713i | ||||
\(870\) | −3.90906 | + | 13.1549i | −0.132530 | + | 0.445994i | ||||
\(871\) | −11.8476 | + | 5.27487i | −0.401439 | + | 0.178732i | ||||
\(872\) | 0.322537 | − | 0.443934i | 0.0109225 | − | 0.0150335i | ||||
\(873\) | 41.3106 | − | 16.5928i | 1.39815 | − | 0.561581i | ||||
\(874\) | −7.08558 | −0.239673 | ||||||||
\(875\) | −39.6432 | + | 33.8898i | −1.34018 | + | 1.14568i | ||||
\(876\) | 10.4356 | + | 28.7628i | 0.352588 | + | 0.971804i | ||||
\(877\) | 2.45032 | + | 11.5278i | 0.0827414 | + | 0.389268i | 0.999958 | − | 0.00912022i | \(-0.00290310\pi\) |
−0.917217 | + | 0.398388i | \(0.869570\pi\) | |||||||
\(878\) | −8.79964 | − | 0.924879i | −0.296973 | − | 0.0312132i | ||||
\(879\) | 12.9352 | − | 44.9378i | 0.436294 | − | 1.51571i | ||||
\(880\) | −2.06148 | + | 18.1179i | −0.0694926 | + | 0.610756i | ||||
\(881\) | 12.4003 | − | 9.00931i | 0.417775 | − | 0.303532i | −0.358967 | − | 0.933350i | \(-0.616871\pi\) |
0.776742 | + | 0.629819i | \(0.216871\pi\) | |||||||
\(882\) | 6.13884 | − | 16.7601i | 0.206706 | − | 0.564341i | ||||
\(883\) | −22.0819 | − | 30.3931i | −0.743115 | − | 1.02281i | −0.998433 | − | 0.0559529i | \(-0.982180\pi\) |
0.255319 | − | 0.966857i | \(-0.417820\pi\) | |||||||
\(884\) | 5.80192 | + | 1.23324i | 0.195140 | + | 0.0414782i | ||||
\(885\) | 11.7600 | − | 17.0792i | 0.395307 | − | 0.574110i | ||||
\(886\) | 14.2652 | − | 3.03217i | 0.479250 | − | 0.101868i | ||||
\(887\) | −1.03945 | − | 0.935926i | −0.0349013 | − | 0.0314253i | 0.651495 | − | 0.758653i | \(-0.274142\pi\) |
−0.686397 | + | 0.727227i | \(0.740809\pi\) | |||||||
\(888\) | 8.79616 | − | 1.22709i | 0.295180 | − | 0.0411784i | ||||
\(889\) | −11.8031 | − | 13.1087i | −0.395864 | − | 0.439652i | ||||
\(890\) | −0.993159 | + | 4.48308i | −0.0332908 | + | 0.150273i | ||||
\(891\) | −14.7300 | − | 19.0126i | −0.493473 | − | 0.636945i | ||||
\(892\) | 22.0088 | + | 30.2925i | 0.736909 | + | 1.01427i | ||||
\(893\) | 5.68427 | + | 3.28182i | 0.190217 | + | 0.109822i | ||||
\(894\) | 11.3698 | − | 5.53112i | 0.380264 | − | 0.184988i | ||||
\(895\) | 8.69880 | + | 27.5744i | 0.290769 | + | 0.921711i | ||||
\(896\) | −5.07348 | + | 48.2709i | −0.169493 | + | 1.61262i | ||||
\(897\) | 8.81888 | + | 35.5246i | 0.294454 | + | 1.18613i | ||||
\(898\) | 10.3986 | − | 9.36291i | 0.347004 | − | 0.312444i | ||||
\(899\) | −9.73605 | −0.324716 | ||||||||
\(900\) | 4.26466 | + | 27.2311i | 0.142155 | + | 0.907702i | ||||
\(901\) | 4.74405 | 0.158047 | ||||||||
\(902\) | 5.62326 | − | 5.06321i | 0.187234 | − | 0.168586i | ||||
\(903\) | −17.5324 | − | 5.04664i | −0.583440 | − | 0.167942i | ||||
\(904\) | 1.72928 | − | 16.4530i | 0.0575149 | − | 0.547217i | ||||
\(905\) | 16.7939 | + | 0.144001i | 0.558249 | + | 0.00478675i | ||||
\(906\) | −0.929525 | − | 0.628350i | −0.0308814 | − | 0.0208755i | ||||
\(907\) | −32.2735 | − | 18.6331i | −1.07163 | − | 0.618703i | −0.143000 | − | 0.989723i | \(-0.545675\pi\) |
−0.928625 | + | 0.371020i | \(0.879008\pi\) | |||||||
\(908\) | −8.56723 | − | 11.7918i | −0.284314 | − | 0.391324i | ||||
\(909\) | 26.1443 | + | 16.4109i | 0.867153 | + | 0.544315i | ||||
\(910\) | −8.19898 | − | 18.8485i | −0.271794 | − | 0.624822i | ||||
\(911\) | 10.6528 | + | 11.8312i | 0.352945 | + | 0.391985i | 0.893306 | − | 0.449448i | \(-0.148379\pi\) |
−0.540362 | + | 0.841433i | \(0.681713\pi\) | |||||||
\(912\) | −8.07228 | + | 19.9212i | −0.267300 | + | 0.659656i | ||||
\(913\) | −2.71287 | − | 2.44268i | −0.0897830 | − | 0.0808409i | ||||
\(914\) | 4.72744 | − | 1.00485i | 0.156370 | − | 0.0332374i | ||||
\(915\) | −29.3423 | − | 25.1046i | −0.970026 | − | 0.829934i | ||||
\(916\) | 1.15512 | + | 0.245529i | 0.0381663 | + | 0.00811250i | ||||
\(917\) | −14.6525 | − | 20.1674i | −0.483868 | − | 0.665987i | ||||
\(918\) | 0.687793 | + | 1.19974i | 0.0227006 | + | 0.0395973i | ||||
\(919\) | 15.8659 | − | 11.5272i | 0.523367 | − | 0.380248i | −0.294504 | − | 0.955650i | \(-0.595154\pi\) |
0.817871 | + | 0.575402i | \(0.195154\pi\) | |||||||
\(920\) | 14.6504 | − | 2.98299i | 0.483011 | − | 0.0983462i | ||||
\(921\) | −34.5486 | − | 35.8491i | −1.13841 | − | 1.18127i | ||||
\(922\) | 11.5294 | + | 1.21179i | 0.379702 | + | 0.0399083i | ||||
\(923\) | −10.8857 | − | 51.2130i | −0.358306 | − | 1.68570i | ||||
\(924\) | −25.5339 | + | 30.3673i | −0.840004 | + | 0.999011i | ||||
\(925\) | −9.51115 | − | 13.5745i | −0.312725 | − | 0.446328i | ||||
\(926\) | 9.45756 | 0.310795 | ||||||||
\(927\) | −5.28873 | + | 37.0833i | −0.173705 | + | 1.21798i | ||||
\(928\) | 22.3409 | − | 30.7496i | 0.733376 | − | 1.00941i | ||||
\(929\) | 12.2677 | − | 5.46193i | 0.402490 | − | 0.179200i | −0.195500 | − | 0.980704i | \(-0.562633\pi\) |
0.597990 | + | 0.801504i | \(0.295966\pi\) | |||||||
\(930\) | 1.56115 | − | 0.742970i | 0.0511920 | − | 0.0243630i | ||||
\(931\) | −54.8378 | − | 24.4154i | −1.79724 | − | 0.800182i | ||||
\(932\) | −39.4235 | + | 22.7612i | −1.29136 | + | 0.745567i | ||||
\(933\) | 20.1940 | − | 29.8732i | 0.661123 | − | 0.978006i | ||||
\(934\) | −14.1910 | − | 3.01638i | −0.464342 | − | 0.0986990i | ||||
\(935\) | 2.95462 | − | 2.61483i | 0.0966265 | − | 0.0855141i | ||||
\(936\) | −22.4588 | − | 3.20302i | −0.734089 | − | 0.104694i | ||||
\(937\) | −40.7258 | + | 13.2326i | −1.33045 | + | 0.432290i | −0.886072 | − | 0.463548i | \(-0.846576\pi\) |
−0.444381 | + | 0.895838i | \(0.646576\pi\) | |||||||
\(938\) | −1.03704 | + | 4.87887i | −0.0338605 | + | 0.159301i | ||||
\(939\) | 23.0469 | + | 36.9665i | 0.752109 | + | 1.20636i | ||||
\(940\) | −6.28930 | − | 2.10331i | −0.205134 | − | 0.0686023i | ||||
\(941\) | −17.2149 | + | 19.1191i | −0.561191 | + | 0.623265i | −0.955243 | − | 0.295823i | \(-0.904406\pi\) |
0.394052 | + | 0.919088i | \(0.371073\pi\) | |||||||
\(942\) | 2.10490 | + | 4.32686i | 0.0685814 | + | 0.140977i | ||||
\(943\) | 26.2981 | + | 15.1832i | 0.856383 | + | 0.494433i | ||||
\(944\) | −13.2181 | + | 9.60355i | −0.430214 | + | 0.312569i | ||||
\(945\) | −22.6196 | + | 49.2550i | −0.735817 | + | 1.60227i | ||||
\(946\) | −1.96770 | − | 1.42962i | −0.0639754 | − | 0.0464808i | ||||
\(947\) | −16.2810 | − | 36.5677i | −0.529062 | − | 1.18829i | −0.958473 | − | 0.285183i | \(-0.907946\pi\) |
0.429411 | − | 0.903109i | \(-0.358721\pi\) | |||||||
\(948\) | 9.57595 | + | 5.10413i | 0.311012 | + | 0.165775i | ||||
\(949\) | 23.4997 | + | 40.7026i | 0.762832 | + | 1.32126i | ||||
\(950\) | −8.16443 | + | 0.716801i | −0.264889 | + | 0.0232561i | ||||
\(951\) | −26.6875 | + | 31.7393i | −0.865403 | + | 1.02922i | ||||
\(952\) | 3.54058 | − | 3.18795i | 0.114751 | − | 0.103322i | ||||
\(953\) | −3.27273 | + | 4.50452i | −0.106014 | + | 0.145916i | −0.858728 | − | 0.512432i | \(-0.828745\pi\) |
0.752714 | + | 0.658348i | \(0.228745\pi\) | |||||||
\(954\) | −8.66815 | + | 0.588403i | −0.280642 | + | 0.0190503i | ||||
\(955\) | 1.66383 | + | 1.88005i | 0.0538404 | + | 0.0608369i | ||||
\(956\) | 0.924246 | + | 8.79361i | 0.0298923 | + | 0.284406i | ||||
\(957\) | 38.2501 | − | 13.8778i | 1.23645 | − | 0.448606i | ||||
\(958\) | −2.61118 | + | 5.86481i | −0.0843634 | + | 0.189483i | ||||
\(959\) | 27.6910 | − | 30.7540i | 0.894190 | − | 0.993099i | ||||
\(960\) | 3.09196 | − | 16.6025i | 0.0997927 | − | 0.535844i | ||||
\(961\) | −19.9223 | − | 22.1260i | −0.642655 | − | 0.713741i | ||||
\(962\) | 6.21262 | − | 2.01860i | 0.200303 | − | 0.0650824i | ||||
\(963\) | 51.9335 | + | 1.91943i | 1.67353 | + | 0.0618528i | ||||
\(964\) | 5.39588 | − | 16.6068i | 0.173790 | − | 0.534870i | ||||
\(965\) | −6.32207 | − | 0.719334i | −0.203515 | − | 0.0231562i | ||||
\(966\) | 13.0473 | + | 5.28689i | 0.419789 | + | 0.170103i | ||||
\(967\) | 6.01720 | − | 13.5148i | 0.193500 | − | 0.434608i | −0.790574 | − | 0.612366i | \(-0.790218\pi\) |
0.984074 | + | 0.177758i | \(0.0568845\pi\) | |||||||
\(968\) | 5.16891 | − | 2.98427i | 0.166135 | − | 0.0959182i | ||||
\(969\) | 4.18221 | − | 2.03453i | 0.134352 | − | 0.0653586i | ||||
\(970\) | −6.58781 | − | 11.6398i | −0.211522 | − | 0.373731i | ||||
\(971\) | −12.3168 | − | 8.94868i | −0.395265 | − | 0.287177i | 0.372345 | − | 0.928095i | \(-0.378554\pi\) |
−0.767610 | + | 0.640918i | \(0.778554\pi\) | |||||||
\(972\) | 15.8966 | + | 23.8284i | 0.509884 | + | 0.764297i | ||||
\(973\) | 41.6885 | + | 13.5454i | 1.33647 | + | 0.434246i | ||||
\(974\) | −3.75348 | + | 6.50122i | −0.120269 | + | 0.208313i | ||||
\(975\) | 13.7555 | + | 40.0415i | 0.440527 | + | 1.28235i | ||||
\(976\) | 15.2132 | + | 26.3500i | 0.486963 | + | 0.843444i | ||||
\(977\) | −9.34769 | − | 43.9774i | −0.299059 | − | 1.40696i | −0.829152 | − | 0.559023i | \(-0.811177\pi\) |
0.530093 | − | 0.847939i | \(-0.322157\pi\) | |||||||
\(978\) | −1.72827 | − | 6.96191i | −0.0552641 | − | 0.222617i | ||||
\(979\) | 12.4375 | − | 5.53754i | 0.397505 | − | 0.176981i | ||||
\(980\) | 59.2142 | + | 13.1180i | 1.89153 | + | 0.419039i | ||||
\(981\) | −1.02363 | + | 0.291266i | −0.0326818 | + | 0.00929940i | ||||
\(982\) | 15.8654i | 0.506284i | ||||||||
\(983\) | −7.63074 | + | 0.802023i | −0.243383 | + | 0.0255806i | −0.225434 | − | 0.974258i | \(-0.572380\pi\) |
−0.0179485 | + | 0.999839i | \(0.505713\pi\) | |||||||
\(984\) | −14.8428 | + | 11.5721i | −0.473170 | + | 0.368906i | ||||
\(985\) | 3.29394 | − | 1.03913i | 0.104954 | − | 0.0331094i | ||||
\(986\) | −2.28850 | + | 0.486436i | −0.0728807 | + | 0.0154913i | ||||
\(987\) | −8.01820 | − | 10.2844i | −0.255222 | − | 0.327356i | ||||
\(988\) | −7.59553 | + | 35.7342i | −0.241646 | + | 1.13686i | ||||
\(989\) | 3.01621 | − | 9.28294i | 0.0959099 | − | 0.295180i | ||||
\(990\) | −5.07425 | + | 5.14418i | −0.161270 | + | 0.163493i | ||||
\(991\) | −14.3742 | − | 44.2393i | −0.456612 | − | 1.40531i | −0.869232 | − | 0.494404i | \(-0.835386\pi\) |
0.412620 | − | 0.910903i | \(-0.364614\pi\) | |||||||
\(992\) | −4.76222 | + | 0.500530i | −0.151201 | + | 0.0158918i | ||||
\(993\) | 12.6670 | + | 10.6508i | 0.401974 | + | 0.337994i | ||||
\(994\) | −18.3960 | − | 8.19041i | −0.583484 | − | 0.259784i | ||||
\(995\) | −21.7502 | − | 16.0892i | −0.689528 | − | 0.510061i | ||||
\(996\) | 3.01699 | + | 3.13056i | 0.0955970 | + | 0.0991955i | ||||
\(997\) | 12.7151 | + | 28.5586i | 0.402691 | + | 0.904459i | 0.995105 | + | 0.0988249i | \(0.0315084\pi\) |
−0.592414 | + | 0.805634i | \(0.701825\pi\) | |||||||
\(998\) | 9.23212 | + | 2.99970i | 0.292238 | + | 0.0949538i | ||||
\(999\) | −14.8911 | − | 8.65813i | −0.471134 | − | 0.273931i |
(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 | 225.2.u.a.79.16 | yes | 224 | |
3.2 | odd | 2 | 675.2.y.a.154.13 | 224 | |||
9.4 | even | 3 | inner | 225.2.u.a.4.16 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.y.a.604.13 | 224 | |||
25.19 | even | 10 | inner | 225.2.u.a.169.16 | yes | 224 | |
75.44 | odd | 10 | 675.2.y.a.19.13 | 224 | |||
225.94 | even | 30 | inner | 225.2.u.a.94.16 | yes | 224 | |
225.194 | odd | 30 | 675.2.y.a.469.13 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.u.a.4.16 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.u.a.79.16 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.u.a.94.16 | yes | 224 | 225.94 | even | 30 | inner | |
225.2.u.a.169.16 | yes | 224 | 25.19 | even | 10 | inner | |
675.2.y.a.19.13 | 224 | 75.44 | odd | 10 | |||
675.2.y.a.154.13 | 224 | 3.2 | odd | 2 | |||
675.2.y.a.469.13 | 224 | 225.194 | odd | 30 | |||
675.2.y.a.604.13 | 224 | 9.5 | odd | 6 |