Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 6.15 | ||
Character | \(\chi\) | \(=\) | 475.6 |
Dual form | 475.2.bc.a.396.15 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.978277 | − | 0.611295i | −0.691746 | − | 0.432251i | 0.137970 | − | 0.990436i | \(-0.455942\pi\) |
−0.829716 | + | 0.558185i | \(0.811498\pi\) | |||||||
\(3\) | −2.30987 | + | 0.662346i | −1.33361 | + | 0.382406i | −0.865342 | − | 0.501182i | \(-0.832899\pi\) |
−0.468265 | + | 0.883588i | \(0.655121\pi\) | |||||||
\(4\) | −0.293398 | − | 0.601556i | −0.146699 | − | 0.300778i | ||||
\(5\) | 2.15159 | − | 0.608806i | 0.962222 | − | 0.272266i | ||||
\(6\) | 2.66459 | + | 0.764058i | 1.08781 | + | 0.311925i | ||||
\(7\) | 0.629622 | − | 1.09054i | 0.237975 | − | 0.412184i | −0.722158 | − | 0.691728i | \(-0.756850\pi\) |
0.960133 | + | 0.279544i | \(0.0901831\pi\) | |||||||
\(8\) | −0.321864 | + | 3.06233i | −0.113796 | + | 1.08270i | ||||
\(9\) | 2.35267 | − | 1.47011i | 0.784225 | − | 0.490038i | ||||
\(10\) | −2.47701 | − | 0.719678i | −0.783301 | − | 0.227582i | ||||
\(11\) | 0.499803 | − | 0.555088i | 0.150696 | − | 0.167365i | −0.663070 | − | 0.748557i | \(-0.730747\pi\) |
0.813766 | + | 0.581192i | \(0.197414\pi\) | |||||||
\(12\) | 1.07615 | + | 1.19519i | 0.310658 | + | 0.345021i | ||||
\(13\) | 0.209026 | + | 5.98572i | 0.0579734 | + | 1.66014i | 0.585552 | + | 0.810635i | \(0.300878\pi\) |
−0.527579 | + | 0.849506i | \(0.676900\pi\) | |||||||
\(14\) | −1.28258 | + | 0.681962i | −0.342785 | + | 0.182262i | ||||
\(15\) | −4.56667 | + | 2.83137i | −1.17911 | + | 0.731055i | ||||
\(16\) | 1.36274 | − | 1.74423i | 0.340686 | − | 0.436058i | ||||
\(17\) | −1.59316 | + | 0.111404i | −0.386397 | + | 0.0270195i | −0.261634 | − | 0.965167i | \(-0.584261\pi\) |
−0.124763 | + | 0.992187i | \(0.539817\pi\) | |||||||
\(18\) | −3.20024 | −0.754304 | ||||||||
\(19\) | −1.77415 | − | 3.98150i | −0.407019 | − | 0.913420i | ||||
\(20\) | −0.997505 | − | 1.11568i | −0.223049 | − | 0.249474i | ||||
\(21\) | −0.732035 | + | 2.93603i | −0.159743 | + | 0.640695i | ||||
\(22\) | −0.828269 | + | 0.237502i | −0.176587 | + | 0.0506356i | ||||
\(23\) | 7.02875 | − | 0.987827i | 1.46560 | − | 0.205976i | 0.639189 | − | 0.769049i | \(-0.279270\pi\) |
0.826407 | + | 0.563073i | \(0.190381\pi\) | |||||||
\(24\) | −1.28486 | − | 7.28678i | −0.262270 | − | 1.48741i | ||||
\(25\) | 4.25871 | − | 2.61981i | 0.851742 | − | 0.523961i | ||||
\(26\) | 3.45456 | − | 5.98347i | 0.677495 | − | 1.17346i | ||||
\(27\) | 0.363026 | − | 0.403181i | 0.0698644 | − | 0.0775923i | ||||
\(28\) | −0.840749 | − | 0.0587909i | −0.158887 | − | 0.0111104i | ||||
\(29\) | −0.0907475 | − | 0.00634568i | −0.0168514 | − | 0.00117836i | 0.0613283 | − | 0.998118i | \(-0.480466\pi\) |
−0.0781797 | + | 0.996939i | \(0.524911\pi\) | |||||||
\(30\) | 6.19827 | + | 0.0217254i | 1.13164 | + | 0.00396650i | ||||
\(31\) | 5.43647 | − | 2.42047i | 0.976418 | − | 0.434729i | 0.144425 | − | 0.989516i | \(-0.453867\pi\) |
0.831993 | + | 0.554786i | \(0.187200\pi\) | |||||||
\(32\) | 3.38762 | − | 1.23299i | 0.598851 | − | 0.217964i | ||||
\(33\) | −0.786823 | + | 1.61323i | −0.136968 | + | 0.280827i | ||||
\(34\) | 1.62665 | + | 0.864904i | 0.278968 | + | 0.148330i | ||||
\(35\) | 0.690765 | − | 2.72971i | 0.116761 | − | 0.461405i | ||||
\(36\) | −1.57463 | − | 0.983936i | −0.262438 | − | 0.163989i | ||||
\(37\) | −0.862743 | + | 2.65525i | −0.141834 | + | 0.436520i | −0.996590 | − | 0.0825094i | \(-0.973707\pi\) |
0.854756 | + | 0.519030i | \(0.173707\pi\) | |||||||
\(38\) | −0.698260 | + | 4.97955i | −0.113273 | + | 0.807789i | ||||
\(39\) | −4.44744 | − | 13.6878i | −0.712161 | − | 2.19181i | ||||
\(40\) | 1.17184 | + | 6.78484i | 0.185285 | + | 1.07278i | ||||
\(41\) | 4.92546 | − | 6.30431i | 0.769228 | − | 0.984567i | −0.230705 | − | 0.973024i | \(-0.574103\pi\) |
0.999933 | − | 0.0115437i | \(-0.00367455\pi\) | |||||||
\(42\) | 2.51091 | − | 2.42476i | 0.387443 | − | 0.374149i | ||||
\(43\) | −1.24043 | − | 7.03482i | −0.189164 | − | 1.07280i | −0.920488 | − | 0.390770i | \(-0.872209\pi\) |
0.731325 | − | 0.682030i | \(-0.238902\pi\) | |||||||
\(44\) | −0.480558 | − | 0.137798i | −0.0724468 | − | 0.0207738i | ||||
\(45\) | 4.16698 | − | 4.59541i | 0.621177 | − | 0.685043i | ||||
\(46\) | −7.47992 | − | 3.33027i | −1.10285 | − | 0.491022i | ||||
\(47\) | 0.369623 | + | 0.0258465i | 0.0539150 | + | 0.00377010i | 0.0966885 | − | 0.995315i | \(-0.469175\pi\) |
−0.0427735 | + | 0.999085i | \(0.513619\pi\) | |||||||
\(48\) | −1.99248 | + | 4.93157i | −0.287590 | + | 0.711810i | ||||
\(49\) | 2.70715 | + | 4.68893i | 0.386736 | + | 0.669847i | ||||
\(50\) | −5.76767 | − | 0.0404328i | −0.815672 | − | 0.00571806i | ||||
\(51\) | 3.60620 | − | 1.31255i | 0.504969 | − | 0.183794i | ||||
\(52\) | 3.53942 | − | 1.88194i | 0.490829 | − | 0.260979i | ||||
\(53\) | −4.48906 | − | 9.20394i | −0.616620 | − | 1.26426i | −0.947249 | − | 0.320498i | \(-0.896150\pi\) |
0.330629 | − | 0.943761i | \(-0.392739\pi\) | |||||||
\(54\) | −0.601603 | + | 0.172507i | −0.0818678 | + | 0.0234752i | ||||
\(55\) | 0.737433 | − | 1.49861i | 0.0994354 | − | 0.202072i | ||||
\(56\) | 3.13693 | + | 2.27911i | 0.419190 | + | 0.304559i | ||||
\(57\) | 6.73521 | + | 8.02167i | 0.892100 | + | 1.06250i | ||||
\(58\) | 0.0848971 | + | 0.0616813i | 0.0111475 | + | 0.00809916i | ||||
\(59\) | −1.73816 | − | 4.30210i | −0.226289 | − | 0.560085i | 0.770737 | − | 0.637154i | \(-0.219888\pi\) |
−0.997026 | + | 0.0770685i | \(0.975444\pi\) | |||||||
\(60\) | 3.04308 | + | 1.91639i | 0.392860 | + | 0.247405i | ||||
\(61\) | 3.48991 | − | 0.490475i | 0.446838 | − | 0.0627989i | 0.0878341 | − | 0.996135i | \(-0.472005\pi\) |
0.359004 | + | 0.933336i | \(0.383117\pi\) | |||||||
\(62\) | −6.79799 | − | 0.955395i | −0.863346 | − | 0.121335i | ||||
\(63\) | −0.121919 | − | 3.49129i | −0.0153603 | − | 0.439862i | ||||
\(64\) | −8.39793 | − | 1.78504i | −1.04974 | − | 0.223130i | ||||
\(65\) | 4.09388 | + | 12.7516i | 0.507784 | + | 1.58164i | ||||
\(66\) | 1.75589 | − | 1.09720i | 0.216135 | − | 0.135056i | ||||
\(67\) | 1.28212 | + | 5.14230i | 0.156636 | + | 0.628231i | 0.996362 | + | 0.0852216i | \(0.0271598\pi\) |
−0.839726 | + | 0.543010i | \(0.817285\pi\) | |||||||
\(68\) | 0.534445 | + | 0.925687i | 0.0648110 | + | 0.112256i | ||||
\(69\) | −15.5813 | + | 6.93722i | −1.87576 | + | 0.835143i | ||||
\(70\) | −2.34442 | + | 2.24815i | −0.280212 | + | 0.268705i | ||||
\(71\) | −7.40951 | − | 7.15528i | −0.879347 | − | 0.849175i | 0.110122 | − | 0.993918i | \(-0.464876\pi\) |
−0.989469 | + | 0.144743i | \(0.953765\pi\) | |||||||
\(72\) | 3.74473 | + | 7.67784i | 0.441321 | + | 0.904842i | ||||
\(73\) | −0.0977086 | + | 2.79801i | −0.0114359 | + | 0.327482i | 0.980168 | + | 0.198169i | \(0.0634995\pi\) |
−0.991604 | + | 0.129313i | \(0.958723\pi\) | |||||||
\(74\) | 2.46714 | − | 2.07018i | 0.286799 | − | 0.240653i | ||||
\(75\) | −8.10187 | + | 8.87216i | −0.935523 | + | 1.02447i | ||||
\(76\) | −1.87456 | + | 2.23542i | −0.215027 | + | 0.256420i | ||||
\(77\) | −0.290657 | − | 0.894549i | −0.0331234 | − | 0.101943i | ||||
\(78\) | −4.01647 | + | 16.1092i | −0.454776 | + | 1.82401i | ||||
\(79\) | 15.2511 | − | 4.37318i | 1.71588 | − | 0.492021i | 0.733624 | − | 0.679556i | \(-0.237828\pi\) |
0.982258 | + | 0.187535i | \(0.0600498\pi\) | |||||||
\(80\) | 1.87017 | − | 4.58253i | 0.209092 | − | 0.512342i | ||||
\(81\) | −4.21992 | + | 8.65211i | −0.468880 | + | 0.961346i | ||||
\(82\) | −8.67226 | + | 3.15645i | −0.957691 | + | 0.348571i | ||||
\(83\) | 0.0853473 | − | 0.0379991i | 0.00936809 | − | 0.00417094i | −0.402047 | − | 0.915619i | \(-0.631701\pi\) |
0.411415 | + | 0.911448i | \(0.365035\pi\) | |||||||
\(84\) | 1.98097 | − | 0.421067i | 0.216141 | − | 0.0459422i | ||||
\(85\) | −3.36000 | + | 1.20962i | −0.364443 | + | 0.131202i | ||||
\(86\) | −3.08687 | + | 7.64027i | −0.332866 | + | 0.823872i | ||||
\(87\) | 0.213818 | − | 0.0454485i | 0.0229237 | − | 0.00487259i | ||||
\(88\) | 1.53899 | + | 1.70922i | 0.164057 | + | 0.182204i | ||||
\(89\) | 6.15650 | + | 7.87996i | 0.652588 | + | 0.835274i | 0.994530 | − | 0.104447i | \(-0.0333071\pi\) |
−0.341943 | + | 0.939721i | \(0.611085\pi\) | |||||||
\(90\) | −6.88562 | + | 1.94833i | −0.725808 | + | 0.205372i | ||||
\(91\) | 6.65926 | + | 3.54079i | 0.698080 | + | 0.371176i | ||||
\(92\) | −2.65646 | − | 3.93836i | −0.276955 | − | 0.410603i | ||||
\(93\) | −10.9544 | + | 9.19180i | −1.13591 | + | 0.953146i | ||||
\(94\) | −0.345793 | − | 0.251234i | −0.0356659 | − | 0.0259128i | ||||
\(95\) | −6.24122 | − | 7.48646i | −0.640336 | − | 0.768095i | ||||
\(96\) | −7.00830 | + | 5.09183i | −0.715282 | + | 0.519683i | ||||
\(97\) | −1.83358 | + | 7.35409i | −0.186172 | + | 0.746694i | 0.802506 | + | 0.596643i | \(0.203499\pi\) |
−0.988678 | + | 0.150051i | \(0.952056\pi\) | |||||||
\(98\) | 0.217973 | − | 6.24194i | 0.0220186 | − | 0.630531i | ||||
\(99\) | 0.359832 | − | 2.04071i | 0.0361645 | − | 0.205099i | ||||
\(100\) | −2.82546 | − | 1.79321i | −0.282546 | − | 0.179321i | ||||
\(101\) | 12.0473 | − | 4.38484i | 1.19875 | − | 0.436308i | 0.335960 | − | 0.941876i | \(-0.390939\pi\) |
0.862787 | + | 0.505568i | \(0.168717\pi\) | |||||||
\(102\) | −4.33022 | − | 0.920417i | −0.428756 | − | 0.0911348i | ||||
\(103\) | −11.2837 | − | 5.02381i | −1.11181 | − | 0.495011i | −0.233144 | − | 0.972442i | \(-0.574901\pi\) |
−0.878669 | + | 0.477431i | \(0.841568\pi\) | |||||||
\(104\) | −18.3975 | − | 1.28648i | −1.80403 | − | 0.126150i | ||||
\(105\) | 0.212432 | + | 6.76281i | 0.0207313 | + | 0.659983i | ||||
\(106\) | −1.23478 | + | 11.7481i | −0.119932 | + | 1.14108i | ||||
\(107\) | 1.46403 | − | 2.53578i | 0.141533 | − | 0.245143i | −0.786541 | − | 0.617538i | \(-0.788130\pi\) |
0.928074 | + | 0.372395i | \(0.121463\pi\) | |||||||
\(108\) | −0.349047 | − | 0.100088i | −0.0335871 | − | 0.00963095i | ||||
\(109\) | 4.98571 | + | 0.700697i | 0.477545 | + | 0.0671146i | 0.373839 | − | 0.927493i | \(-0.378041\pi\) |
0.103706 | + | 0.994608i | \(0.466930\pi\) | |||||||
\(110\) | −1.63750 | + | 1.01526i | −0.156130 | + | 0.0968015i | ||||
\(111\) | 0.234134 | − | 6.70473i | 0.0222230 | − | 0.636384i | ||||
\(112\) | −1.04414 | − | 2.58433i | −0.0986617 | − | 0.244196i | ||||
\(113\) | 3.95664 | − | 12.1773i | 0.372209 | − | 1.14554i | −0.573133 | − | 0.819462i | \(-0.694272\pi\) |
0.945342 | − | 0.326080i | \(-0.105728\pi\) | |||||||
\(114\) | −1.68529 | − | 11.9646i | −0.157842 | − | 1.12059i | ||||
\(115\) | 14.5216 | − | 6.40455i | 1.35415 | − | 0.597227i | ||||
\(116\) | 0.0228079 | + | 0.0564515i | 0.00211766 | + | 0.00524139i | ||||
\(117\) | 9.29147 | + | 13.7752i | 0.858996 | + | 1.27351i | ||||
\(118\) | −0.929450 | + | 5.27117i | −0.0855628 | + | 0.485251i | ||||
\(119\) | −0.881595 | + | 1.80754i | −0.0808157 | + | 0.165697i | ||||
\(120\) | −7.20072 | − | 14.8960i | −0.657333 | − | 1.35981i | ||||
\(121\) | 1.09149 | + | 10.3849i | 0.0992267 | + | 0.944079i | ||||
\(122\) | −3.71393 | − | 1.65355i | −0.336243 | − | 0.149705i | ||||
\(123\) | −7.20157 | + | 17.8245i | −0.649344 | + | 1.60718i | ||||
\(124\) | −3.05110 | − | 2.56018i | −0.273997 | − | 0.229911i | ||||
\(125\) | 7.56806 | − | 8.22949i | 0.676908 | − | 0.736068i | ||||
\(126\) | −2.01494 | + | 3.48998i | −0.179505 | + | 0.310912i | ||||
\(127\) | 11.1085 | + | 14.2182i | 0.985716 | + | 1.26166i | 0.965103 | + | 0.261872i | \(0.0843398\pi\) |
0.0206136 | + | 0.999788i | \(0.493438\pi\) | |||||||
\(128\) | 1.93784 | + | 1.87135i | 0.171283 | + | 0.165406i | ||||
\(129\) | 7.52472 | + | 15.4280i | 0.662515 | + | 1.35836i | ||||
\(130\) | 3.79003 | − | 14.9772i | 0.332408 | − | 1.31358i | ||||
\(131\) | −4.20528 | + | 0.294062i | −0.367417 | + | 0.0256923i | −0.252272 | − | 0.967656i | \(-0.581178\pi\) |
−0.115145 | + | 0.993349i | \(0.536733\pi\) | |||||||
\(132\) | 1.20130 | 0.104560 | ||||||||
\(133\) | −5.45902 | − | 0.572061i | −0.473357 | − | 0.0496040i | ||||
\(134\) | 1.88919 | − | 5.81434i | 0.163202 | − | 0.502283i | ||||
\(135\) | 0.535625 | − | 1.08849i | 0.0460993 | − | 0.0936827i | ||||
\(136\) | 0.171622 | − | 4.91462i | 0.0147165 | − | 0.421425i | ||||
\(137\) | 2.23410 | + | 1.18789i | 0.190872 | + | 0.101489i | 0.562157 | − | 0.827030i | \(-0.309972\pi\) |
−0.371285 | + | 0.928519i | \(0.621083\pi\) | |||||||
\(138\) | 19.4835 | + | 2.73822i | 1.65854 | + | 0.233093i | ||||
\(139\) | 12.7662 | + | 16.3399i | 1.08281 | + | 1.38594i | 0.916581 | + | 0.399850i | \(0.130938\pi\) |
0.166231 | + | 0.986087i | \(0.446840\pi\) | |||||||
\(140\) | −1.84474 | + | 0.385359i | −0.155909 | + | 0.0325688i | ||||
\(141\) | −0.870901 | + | 0.185116i | −0.0733431 | + | 0.0155896i | ||||
\(142\) | 2.87456 | + | 11.5292i | 0.241228 | + | 0.967513i | ||||
\(143\) | 3.42707 | + | 2.87566i | 0.286586 | + | 0.240474i | ||||
\(144\) | 0.641872 | − | 6.10700i | 0.0534893 | − | 0.508917i | ||||
\(145\) | −0.199115 | + | 0.0415943i | −0.0165356 | + | 0.00345422i | ||||
\(146\) | 1.80599 | − | 2.67750i | 0.149465 | − | 0.221591i | ||||
\(147\) | −9.35887 | − | 9.03776i | −0.771907 | − | 0.745422i | ||||
\(148\) | 1.85041 | − | 0.260058i | 0.152103 | − | 0.0213766i | ||||
\(149\) | −6.51781 | − | 2.37229i | −0.533960 | − | 0.194345i | 0.0609459 | − | 0.998141i | \(-0.480588\pi\) |
−0.594905 | + | 0.803796i | \(0.702811\pi\) | |||||||
\(150\) | 13.3494 | − | 3.72680i | 1.08997 | − | 0.304292i | ||||
\(151\) | 0.849831 | 0.0691582 | 0.0345791 | − | 0.999402i | \(-0.488991\pi\) | ||||
0.0345791 | + | 0.999402i | \(0.488991\pi\) | |||||||
\(152\) | 12.7637 | − | 4.15154i | 1.03527 | − | 0.336735i | ||||
\(153\) | −3.58440 | + | 2.60422i | −0.289782 | + | 0.210539i | ||||
\(154\) | −0.262491 | + | 1.05279i | −0.0211521 | + | 0.0848366i | ||||
\(155\) | 10.2235 | − | 8.51762i | 0.821169 | − | 0.684152i | ||||
\(156\) | −6.92912 | + | 6.69137i | −0.554774 | + | 0.535739i | ||||
\(157\) | −1.58123 | − | 8.96759i | −0.126196 | − | 0.715691i | −0.980591 | − | 0.196067i | \(-0.937183\pi\) |
0.854395 | − | 0.519624i | \(-0.173928\pi\) | |||||||
\(158\) | −17.5931 | − | 5.04474i | −1.39963 | − | 0.401338i | ||||
\(159\) | 16.4654 | + | 18.2866i | 1.30579 | + | 1.45022i | ||||
\(160\) | 6.53812 | − | 4.71530i | 0.516884 | − | 0.372777i | ||||
\(161\) | 3.34819 | − | 8.28707i | 0.263875 | − | 0.653113i | ||||
\(162\) | 9.41724 | − | 5.88455i | 0.739888 | − | 0.462334i | ||||
\(163\) | 6.50674 | − | 1.38305i | 0.509647 | − | 0.108329i | 0.0540911 | − | 0.998536i | \(-0.482774\pi\) |
0.455556 | + | 0.890207i | \(0.349441\pi\) | |||||||
\(164\) | −5.23752 | − | 1.11327i | −0.408981 | − | 0.0869317i | ||||
\(165\) | −0.710781 | + | 3.95003i | −0.0553342 | + | 0.307509i | ||||
\(166\) | −0.106722 | − | 0.0149988i | −0.00828323 | − | 0.00116413i | ||||
\(167\) | −4.30930 | + | 4.16144i | −0.333464 | + | 0.322022i | −0.842473 | − | 0.538739i | \(-0.818901\pi\) |
0.509009 | + | 0.860761i | \(0.330012\pi\) | |||||||
\(168\) | −8.75548 | − | 3.18673i | −0.675500 | − | 0.245862i | ||||
\(169\) | −22.8169 | + | 1.59551i | −1.75514 | + | 0.122732i | ||||
\(170\) | 4.02645 | + | 0.870609i | 0.308814 | + | 0.0667727i | ||||
\(171\) | −10.0273 | − | 6.75897i | −0.766805 | − | 0.516872i | ||||
\(172\) | −3.86790 | + | 2.81019i | −0.294925 | + | 0.214275i | ||||
\(173\) | −15.7259 | − | 9.82663i | −1.19562 | − | 0.747104i | −0.221945 | − | 0.975059i | \(-0.571241\pi\) |
−0.973672 | + | 0.227955i | \(0.926796\pi\) | |||||||
\(174\) | −0.236956 | − | 0.0862449i | −0.0179636 | − | 0.00653821i | ||||
\(175\) | −0.175619 | − | 6.29377i | −0.0132756 | − | 0.475764i | ||||
\(176\) | −0.287098 | − | 1.62822i | −0.0216409 | − | 0.122731i | ||||
\(177\) | 6.86441 | + | 8.78604i | 0.515961 | + | 0.660399i | ||||
\(178\) | −1.20578 | − | 11.4722i | −0.0903770 | − | 0.859879i | ||||
\(179\) | −22.4862 | − | 10.0115i | −1.68070 | − | 0.748296i | −0.999874 | − | 0.0158498i | \(-0.994955\pi\) |
−0.680825 | − | 0.732446i | \(-0.738379\pi\) | |||||||
\(180\) | −3.98698 | − | 1.15839i | −0.297172 | − | 0.0863412i | ||||
\(181\) | 3.80962 | + | 15.2795i | 0.283167 | + | 1.13572i | 0.928355 | + | 0.371696i | \(0.121224\pi\) |
−0.645188 | + | 0.764024i | \(0.723221\pi\) | |||||||
\(182\) | −4.35013 | − | 7.53465i | −0.322453 | − | 0.558505i | ||||
\(183\) | −7.73640 | + | 3.44447i | −0.571891 | + | 0.254622i | ||||
\(184\) | 0.762750 | + | 21.8423i | 0.0562307 | + | 1.61024i | ||||
\(185\) | −0.239740 | + | 6.23826i | −0.0176260 | + | 0.458646i | ||||
\(186\) | 16.3353 | − | 2.29578i | 1.19776 | − | 0.168335i | ||||
\(187\) | −0.734425 | + | 0.940022i | −0.0537065 | + | 0.0687412i | ||||
\(188\) | −0.0928986 | − | 0.229932i | −0.00677533 | − | 0.0167695i | ||||
\(189\) | −0.211115 | − | 0.649745i | −0.0153564 | − | 0.0472620i | ||||
\(190\) | 1.52921 | + | 11.1391i | 0.110940 | + | 0.808113i | ||||
\(191\) | 5.92448 | − | 18.2337i | 0.428681 | − | 1.31934i | −0.470745 | − | 0.882269i | \(-0.656015\pi\) |
0.899426 | − | 0.437074i | \(-0.143985\pi\) | |||||||
\(192\) | 20.5805 | − | 1.43913i | 1.48527 | − | 0.103860i | ||||
\(193\) | 12.1651 | + | 4.42773i | 0.875662 | + | 0.318715i | 0.740458 | − | 0.672103i | \(-0.234609\pi\) |
0.135204 | + | 0.990818i | \(0.456831\pi\) | |||||||
\(194\) | 6.28927 | − | 6.07347i | 0.451543 | − | 0.436050i | ||||
\(195\) | −17.9023 | − | 26.7430i | −1.28201 | − | 1.91511i | ||||
\(196\) | 2.02638 | − | 3.00423i | 0.144741 | − | 0.214588i | ||||
\(197\) | 1.60092 | + | 15.2317i | 0.114061 | + | 1.08522i | 0.890487 | + | 0.455008i | \(0.150364\pi\) |
−0.776427 | + | 0.630208i | \(0.782970\pi\) | |||||||
\(198\) | −1.59949 | + | 1.77641i | −0.113671 | + | 0.126244i | ||||
\(199\) | −0.457310 | − | 0.383729i | −0.0324178 | − | 0.0272018i | 0.626435 | − | 0.779474i | \(-0.284513\pi\) |
−0.658853 | + | 0.752272i | \(0.728958\pi\) | |||||||
\(200\) | 6.65199 | + | 13.8848i | 0.470366 | + | 0.981803i | ||||
\(201\) | −6.36751 | − | 11.0289i | −0.449130 | − | 0.777915i | ||||
\(202\) | −14.4660 | − | 3.07484i | −1.01782 | − | 0.216345i | ||||
\(203\) | −0.0640568 | + | 0.0949681i | −0.00449591 | + | 0.00666545i | ||||
\(204\) | −1.84763 | − | 1.78423i | −0.129360 | − | 0.124921i | ||||
\(205\) | 6.75950 | − | 16.5630i | 0.472104 | − | 1.15681i | ||||
\(206\) | 7.96752 | + | 11.8123i | 0.555123 | + | 0.823004i | ||||
\(207\) | 15.0841 | − | 12.6571i | 1.04842 | − | 0.879729i | ||||
\(208\) | 10.7253 | + | 7.79242i | 0.743669 | + | 0.540307i | ||||
\(209\) | −3.09681 | − | 1.00516i | −0.214211 | − | 0.0695282i | ||||
\(210\) | 3.92626 | − | 6.74576i | 0.270938 | − | 0.465502i | ||||
\(211\) | 4.50941 | + | 2.81779i | 0.310441 | + | 0.193985i | 0.676188 | − | 0.736730i | \(-0.263631\pi\) |
−0.365747 | + | 0.930714i | \(0.619186\pi\) | |||||||
\(212\) | −4.21960 | + | 5.40084i | −0.289803 | + | 0.370931i | ||||
\(213\) | 21.8543 | + | 11.6201i | 1.49743 | + | 0.796199i | ||||
\(214\) | −2.98233 | + | 1.58574i | −0.203868 | + | 0.108399i | ||||
\(215\) | −6.95174 | − | 14.3809i | −0.474105 | − | 0.980769i | ||||
\(216\) | 1.11783 | + | 1.24147i | 0.0760586 | + | 0.0844717i | ||||
\(217\) | 0.783305 | − | 7.45265i | 0.0531742 | − | 0.505919i | ||||
\(218\) | −4.44908 | − | 3.73322i | −0.301330 | − | 0.252845i | ||||
\(219\) | −1.62755 | − | 6.52776i | −0.109980 | − | 0.441105i | ||||
\(220\) | −1.11786 | − | 0.00391818i | −0.0753659 | − | 0.000264163i | ||||
\(221\) | −0.999846 | − | 9.51290i | −0.0672570 | − | 0.639907i | ||||
\(222\) | −4.32761 | + | 6.41595i | −0.290450 | + | 0.430611i | ||||
\(223\) | −21.9267 | + | 11.6587i | −1.46832 | + | 0.780721i | −0.994972 | − | 0.100153i | \(-0.968067\pi\) |
−0.473351 | + | 0.880874i | \(0.656956\pi\) | |||||||
\(224\) | 0.788294 | − | 4.47064i | 0.0526701 | − | 0.298707i | ||||
\(225\) | 6.16794 | − | 12.4243i | 0.411196 | − | 0.828289i | ||||
\(226\) | −11.3146 | + | 9.49408i | −0.752636 | + | 0.631537i | ||||
\(227\) | 4.22776 | + | 13.0117i | 0.280606 | + | 0.863618i | 0.987681 | + | 0.156479i | \(0.0500144\pi\) |
−0.707075 | + | 0.707139i | \(0.749986\pi\) | |||||||
\(228\) | 2.84939 | − | 6.40515i | 0.188705 | − | 0.424191i | ||||
\(229\) | −5.31673 | + | 3.86283i | −0.351340 | + | 0.255263i | −0.749431 | − | 0.662083i | \(-0.769673\pi\) |
0.398091 | + | 0.917346i | \(0.369673\pi\) | |||||||
\(230\) | −18.1212 | − | 2.61158i | −1.19488 | − | 0.172202i | ||||
\(231\) | 1.26388 | + | 1.87378i | 0.0831573 | + | 0.123286i | ||||
\(232\) | 0.0486409 | − | 0.275856i | 0.00319343 | − | 0.0181108i | ||||
\(233\) | 11.3593 | − | 23.2901i | 0.744175 | − | 1.52579i | −0.103123 | − | 0.994669i | \(-0.532883\pi\) |
0.847298 | − | 0.531117i | \(-0.178228\pi\) | |||||||
\(234\) | −0.668934 | − | 19.1558i | −0.0437296 | − | 1.25225i | ||||
\(235\) | 0.811013 | − | 0.169417i | 0.0529047 | − | 0.0110516i | ||||
\(236\) | −2.07798 | + | 2.30783i | −0.135265 | + | 0.150227i | ||||
\(237\) | −32.3315 | + | 20.2030i | −2.10016 | + | 1.31233i | ||||
\(238\) | 1.96738 | − | 1.22936i | 0.127527 | − | 0.0796874i | ||||
\(239\) | −4.89749 | + | 5.43922i | −0.316793 | + | 0.351834i | −0.880419 | − | 0.474196i | \(-0.842739\pi\) |
0.563627 | + | 0.826029i | \(0.309406\pi\) | |||||||
\(240\) | −1.28464 | + | 11.8238i | −0.0829234 | + | 0.763220i | ||||
\(241\) | 0.565749 | + | 16.2009i | 0.0364431 | + | 1.04359i | 0.870577 | + | 0.492032i | \(0.163746\pi\) |
−0.834134 | + | 0.551562i | \(0.814032\pi\) | |||||||
\(242\) | 5.28044 | − | 10.8265i | 0.339439 | − | 0.695954i | ||||
\(243\) | 3.73416 | − | 21.1775i | 0.239546 | − | 1.35853i | ||||
\(244\) | −1.31898 | − | 1.95547i | −0.0844393 | − | 0.125186i | ||||
\(245\) | 8.67934 | + | 8.44053i | 0.554503 | + | 0.539246i | ||||
\(246\) | 17.9412 | − | 13.0350i | 1.14389 | − | 0.831083i | ||||
\(247\) | 23.4613 | − | 11.4518i | 1.49281 | − | 0.728663i | ||||
\(248\) | 5.66248 | + | 17.4273i | 0.359568 | + | 1.10664i | ||||
\(249\) | −0.171973 | + | 0.144303i | −0.0108984 | + | 0.00914480i | ||||
\(250\) | −12.4343 | + | 3.42440i | −0.786414 | + | 0.216578i | ||||
\(251\) | −3.89463 | + | 22.0875i | −0.245827 | + | 1.39415i | 0.572738 | + | 0.819738i | \(0.305881\pi\) |
−0.818565 | + | 0.574414i | \(0.805230\pi\) | |||||||
\(252\) | −2.06444 | + | 1.09768i | −0.130047 | + | 0.0691474i | ||||
\(253\) | 2.96466 | − | 4.39529i | 0.186387 | − | 0.276330i | ||||
\(254\) | −2.17564 | − | 20.6999i | −0.136512 | − | 1.29882i | ||||
\(255\) | 6.95999 | − | 5.01955i | 0.435852 | − | 0.314337i | ||||
\(256\) | 3.40227 | + | 13.6457i | 0.212642 | + | 0.852859i | ||||
\(257\) | 2.52178 | + | 2.11603i | 0.157305 | + | 0.131994i | 0.718043 | − | 0.695999i | \(-0.245038\pi\) |
−0.560738 | + | 0.827993i | \(0.689483\pi\) | |||||||
\(258\) | 2.06978 | − | 19.6926i | 0.128859 | − | 1.22601i | ||||
\(259\) | 2.35245 | + | 2.61266i | 0.146174 | + | 0.162343i | ||||
\(260\) | 6.46966 | − | 6.20400i | 0.401231 | − | 0.384756i | ||||
\(261\) | −0.222828 | + | 0.118480i | −0.0137927 | + | 0.00733372i | ||||
\(262\) | 4.29369 | + | 2.28300i | 0.265265 | + | 0.141044i | ||||
\(263\) | 3.34779 | − | 4.28498i | 0.206434 | − | 0.264223i | −0.673641 | − | 0.739059i | \(-0.735270\pi\) |
0.880074 | + | 0.474836i | \(0.157493\pi\) | |||||||
\(264\) | −4.68698 | − | 2.92875i | −0.288464 | − | 0.180252i | ||||
\(265\) | −15.2621 | − | 17.0702i | −0.937540 | − | 1.04861i | ||||
\(266\) | 4.99074 | + | 3.89671i | 0.306002 | + | 0.238923i | ||||
\(267\) | −19.4400 | − | 14.1240i | −1.18971 | − | 0.864374i | ||||
\(268\) | 2.71721 | − | 2.28001i | 0.165980 | − | 0.139274i | ||||
\(269\) | 9.94207 | + | 14.7397i | 0.606179 | + | 0.898697i | 0.999788 | − | 0.0205809i | \(-0.00655157\pi\) |
−0.393610 | + | 0.919278i | \(0.628774\pi\) | |||||||
\(270\) | −1.18938 | + | 0.737424i | −0.0723835 | + | 0.0448782i | ||||
\(271\) | −8.57547 | − | 8.28123i | −0.520922 | − | 0.503049i | 0.387062 | − | 0.922054i | \(-0.373490\pi\) |
−0.907984 | + | 0.419005i | \(0.862379\pi\) | |||||||
\(272\) | −1.97675 | + | 2.93065i | −0.119858 | + | 0.177697i | ||||
\(273\) | −17.7273 | − | 3.76805i | −1.07290 | − | 0.228053i | ||||
\(274\) | −1.45942 | − | 2.52779i | −0.0881667 | − | 0.152709i | ||||
\(275\) | 0.674295 | − | 3.67335i | 0.0406615 | − | 0.221511i | ||||
\(276\) | 8.74464 | + | 7.33763i | 0.526366 | + | 0.441673i | ||||
\(277\) | 11.3953 | − | 12.6558i | 0.684678 | − | 0.760412i | −0.296181 | − | 0.955132i | \(-0.595713\pi\) |
0.980859 | + | 0.194720i | \(0.0623799\pi\) | |||||||
\(278\) | −2.50031 | − | 23.7889i | −0.149959 | − | 1.42676i | ||||
\(279\) | 9.23187 | − | 13.6868i | 0.552697 | − | 0.819407i | ||||
\(280\) | 8.13694 | + | 2.99394i | 0.486275 | + | 0.178922i | ||||
\(281\) | 13.8065 | − | 13.3327i | 0.823625 | − | 0.795365i | −0.157748 | − | 0.987479i | \(-0.550423\pi\) |
0.981373 | + | 0.192114i | \(0.0615345\pi\) | |||||||
\(282\) | 0.965143 | + | 0.351283i | 0.0574734 | + | 0.0209186i | ||||
\(283\) | −11.0353 | + | 0.771665i | −0.655982 | + | 0.0458707i | −0.393869 | − | 0.919167i | \(-0.628864\pi\) |
−0.262113 | + | 0.965037i | \(0.584419\pi\) | |||||||
\(284\) | −2.13036 | + | 6.55658i | −0.126414 | + | 0.389062i | ||||
\(285\) | 19.3751 | + | 13.1589i | 1.14768 | + | 0.779468i | ||||
\(286\) | −1.59475 | − | 4.90814i | −0.0942997 | − | 0.290225i | ||||
\(287\) | −3.77390 | − | 9.34073i | −0.222766 | − | 0.551366i | ||||
\(288\) | 6.15732 | − | 7.88101i | 0.362823 | − | 0.464393i | ||||
\(289\) | −14.3088 | + | 2.01097i | −0.841695 | + | 0.118293i | ||||
\(290\) | 0.220216 | + | 0.0810273i | 0.0129315 | + | 0.00475809i | ||||
\(291\) | −0.635610 | − | 18.2015i | −0.0372601 | − | 1.06699i | ||||
\(292\) | 1.71183 | − | 0.762154i | 0.100177 | − | 0.0446017i | ||||
\(293\) | 0.886748 | + | 1.53589i | 0.0518044 | + | 0.0897278i | 0.890765 | − | 0.454465i | \(-0.150169\pi\) |
−0.838960 | + | 0.544193i | \(0.816836\pi\) | |||||||
\(294\) | 3.63083 | + | 14.5625i | 0.211754 | + | 0.849300i | ||||
\(295\) | −6.35896 | − | 8.19816i | −0.370233 | − | 0.477316i | ||||
\(296\) | −7.85356 | − | 3.49663i | −0.456479 | − | 0.203237i | ||||
\(297\) | −0.0423594 | − | 0.403023i | −0.00245794 | − | 0.0233857i | ||||
\(298\) | 4.92605 | + | 6.30506i | 0.285359 | + | 0.365242i | ||||
\(299\) | 7.38205 | + | 41.8657i | 0.426915 | + | 2.42116i | ||||
\(300\) | 7.71418 | + | 2.27065i | 0.445378 | + | 0.131096i | ||||
\(301\) | −8.45273 | − | 3.07654i | −0.487208 | − | 0.177329i | ||||
\(302\) | −0.831370 | − | 0.519497i | −0.0478399 | − | 0.0298937i | ||||
\(303\) | −24.9234 | + | 18.1079i | −1.43181 | + | 1.04027i | ||||
\(304\) | −9.36239 | − | 2.33123i | −0.536970 | − | 0.133705i | ||||
\(305\) | 7.21027 | − | 3.17998i | 0.412859 | − | 0.182085i | ||||
\(306\) | 5.09848 | − | 0.356521i | 0.291461 | − | 0.0203809i | ||||
\(307\) | −26.9518 | − | 9.80964i | −1.53822 | − | 0.559866i | −0.572602 | − | 0.819834i | \(-0.694066\pi\) |
−0.965617 | + | 0.259968i | \(0.916288\pi\) | |||||||
\(308\) | −0.452843 | + | 0.437306i | −0.0258031 | + | 0.0249178i | ||||
\(309\) | 29.3914 | + | 4.13069i | 1.67202 | + | 0.234987i | ||||
\(310\) | −15.2082 | + | 2.08304i | −0.863766 | + | 0.118309i | ||||
\(311\) | 19.0666 | + | 4.05272i | 1.08117 | + | 0.229809i | 0.713858 | − | 0.700291i | \(-0.246946\pi\) |
0.367308 | + | 0.930099i | \(0.380280\pi\) | |||||||
\(312\) | 43.3481 | − | 9.21392i | 2.45410 | − | 0.521636i | ||||
\(313\) | 17.2323 | − | 10.7680i | 0.974029 | − | 0.608641i | 0.0531904 | − | 0.998584i | \(-0.483061\pi\) |
0.920839 | + | 0.389943i | \(0.127505\pi\) | |||||||
\(314\) | −3.93496 | + | 9.73938i | −0.222063 | + | 0.549625i | ||||
\(315\) | −2.38784 | − | 7.43762i | −0.134540 | − | 0.419063i | ||||
\(316\) | −7.10536 | − | 7.89130i | −0.399708 | − | 0.443920i | ||||
\(317\) | −23.7499 | − | 6.81019i | −1.33393 | − | 0.382498i | −0.468471 | − | 0.883479i | \(-0.655195\pi\) |
−0.865458 | + | 0.500981i | \(0.832973\pi\) | |||||||
\(318\) | −4.92915 | − | 27.9546i | −0.276413 | − | 1.56762i | ||||
\(319\) | −0.0488783 | + | 0.0472012i | −0.00273666 | + | 0.00264276i | ||||
\(320\) | −19.1557 | + | 1.27204i | −1.07084 | + | 0.0711093i | ||||
\(321\) | −1.70217 | + | 6.82702i | −0.0950057 | + | 0.381047i | ||||
\(322\) | −8.34131 | + | 6.06032i | −0.464843 | + | 0.337728i | ||||
\(323\) | 3.27006 | + | 6.14551i | 0.181951 | + | 0.341945i | ||||
\(324\) | 6.44285 | 0.357936 | ||||||||
\(325\) | 16.5716 | + | 24.9439i | 0.919228 | + | 1.38364i | ||||
\(326\) | −7.21084 | − | 2.62453i | −0.399372 | − | 0.145359i | ||||
\(327\) | −11.9805 | + | 1.68375i | −0.662522 | + | 0.0931114i | ||||
\(328\) | 17.7205 | + | 17.1125i | 0.978453 | + | 0.944881i | ||||
\(329\) | 0.260909 | − | 0.386814i | 0.0143844 | − | 0.0213257i | ||||
\(330\) | 3.10997 | − | 3.42972i | 0.171198 | − | 0.188800i | ||||
\(331\) | 0.811776 | − | 7.72353i | 0.0446192 | − | 0.424524i | −0.949297 | − | 0.314382i | \(-0.898203\pi\) |
0.993916 | − | 0.110142i | \(-0.0351305\pi\) | |||||||
\(332\) | −0.0478994 | − | 0.0401923i | −0.00262882 | − | 0.00220584i | ||||
\(333\) | 1.87377 | + | 7.51527i | 0.102682 | + | 0.411834i | ||||
\(334\) | 6.75956 | − | 1.43679i | 0.369867 | − | 0.0786176i | ||||
\(335\) | 5.88926 | + | 10.2836i | 0.321765 | + | 0.561851i | ||||
\(336\) | 4.12355 | + | 5.27790i | 0.224958 | + | 0.287933i | ||||
\(337\) | −28.0765 | − | 3.94589i | −1.52942 | − | 0.214947i | −0.676289 | − | 0.736637i | \(-0.736413\pi\) |
−0.853135 | + | 0.521690i | \(0.825302\pi\) | |||||||
\(338\) | 23.2965 | + | 12.3870i | 1.26716 | + | 0.673763i | ||||
\(339\) | −1.07377 | + | 30.7486i | −0.0583190 | + | 1.67004i | ||||
\(340\) | 1.71347 | + | 1.66633i | 0.0929261 | + | 0.0903693i | ||||
\(341\) | 1.37359 | − | 4.22747i | 0.0743841 | − | 0.228931i | ||||
\(342\) | 5.67772 | + | 12.7418i | 0.307016 | + | 0.688996i | ||||
\(343\) | 15.6326 | 0.844083 | ||||||||
\(344\) | 21.9422 | − | 1.53435i | 1.18304 | − | 0.0827264i | ||||
\(345\) | −29.3011 | + | 24.4120i | −1.57752 | + | 1.31430i | ||||
\(346\) | 9.37730 | + | 19.2263i | 0.504127 | + | 1.03361i | ||||
\(347\) | 4.29502 | + | 4.14765i | 0.230569 | + | 0.222657i | 0.800964 | − | 0.598713i | \(-0.204321\pi\) |
−0.570395 | + | 0.821370i | \(0.693210\pi\) | |||||||
\(348\) | −0.0900738 | − | 0.115289i | −0.00482846 | − | 0.00618015i | ||||
\(349\) | −0.0680733 | + | 0.117906i | −0.00364388 | + | 0.00631138i | −0.867842 | − | 0.496841i | \(-0.834493\pi\) |
0.864198 | + | 0.503152i | \(0.167827\pi\) | |||||||
\(350\) | −3.67555 | + | 6.26440i | −0.196466 | + | 0.334847i | ||||
\(351\) | 2.48921 | + | 2.08870i | 0.132864 | + | 0.111486i | ||||
\(352\) | 1.00872 | − | 2.49668i | 0.0537651 | − | 0.133073i | ||||
\(353\) | 25.1349 | + | 11.1908i | 1.33780 | + | 0.595625i | 0.945922 | − | 0.324394i | \(-0.105160\pi\) |
0.391874 | + | 0.920019i | \(0.371827\pi\) | |||||||
\(354\) | −1.34443 | − | 12.7914i | −0.0714555 | − | 0.679853i | ||||
\(355\) | −20.2984 | − | 10.8843i | −1.07733 | − | 0.577679i | ||||
\(356\) | 2.93393 | − | 6.01545i | 0.155498 | − | 0.318818i | ||||
\(357\) | 0.839159 | − | 4.75911i | 0.0444130 | − | 0.251879i | ||||
\(358\) | 15.8778 | + | 23.5398i | 0.839166 | + | 1.24411i | ||||
\(359\) | 3.95441 | + | 9.78752i | 0.208706 | + | 0.516565i | 0.994836 | − | 0.101496i | \(-0.0323628\pi\) |
−0.786130 | + | 0.618061i | \(0.787918\pi\) | |||||||
\(360\) | 12.7315 | + | 14.2398i | 0.671007 | + | 0.750502i | ||||
\(361\) | −12.7048 | + | 14.1276i | −0.668671 | + | 0.743558i | ||||
\(362\) | 5.61345 | − | 17.2764i | 0.295036 | − | 0.908029i | ||||
\(363\) | −9.39959 | − | 23.2648i | −0.493351 | − | 1.22109i | ||||
\(364\) | 0.176168 | − | 5.04478i | 0.00923370 | − | 0.264418i | ||||
\(365\) | 1.49321 | + | 6.07966i | 0.0781584 | + | 0.318224i | ||||
\(366\) | 9.67393 | + | 1.35958i | 0.505664 | + | 0.0710665i | ||||
\(367\) | −10.5760 | − | 3.03261i | −0.552061 | − | 0.158301i | −0.0120016 | − | 0.999928i | \(-0.503820\pi\) |
−0.540059 | + | 0.841627i | \(0.681598\pi\) | |||||||
\(368\) | 7.85539 | − | 13.6059i | 0.409490 | − | 0.709258i | ||||
\(369\) | 2.31996 | − | 22.0730i | 0.120772 | − | 1.14907i | ||||
\(370\) | 4.04795 | − | 5.95619i | 0.210443 | − | 0.309648i | ||||
\(371\) | −12.8636 | − | 0.899514i | −0.667847 | − | 0.0467004i | ||||
\(372\) | 8.74338 | + | 3.89280i | 0.453323 | + | 0.201832i | ||||
\(373\) | −5.50571 | − | 1.17027i | −0.285075 | − | 0.0605945i | 0.0631549 | − | 0.998004i | \(-0.479884\pi\) |
−0.348230 | + | 0.937409i | \(0.613217\pi\) | |||||||
\(374\) | 1.29310 | − | 0.470651i | 0.0668647 | − | 0.0243368i | ||||
\(375\) | −12.0305 | + | 24.0218i | −0.621252 | + | 1.24048i | ||||
\(376\) | −0.198119 | + | 1.12359i | −0.0102172 | + | 0.0579446i | ||||
\(377\) | 0.0190149 | − | 0.544516i | 0.000979318 | − | 0.0280440i | ||||
\(378\) | −0.190657 | + | 0.764684i | −0.00980635 | + | 0.0393311i | ||||
\(379\) | −10.5164 | + | 7.64062i | −0.540192 | + | 0.392472i | −0.824156 | − | 0.566362i | \(-0.808350\pi\) |
0.283964 | + | 0.958835i | \(0.408350\pi\) | |||||||
\(380\) | −2.67236 | + | 5.95096i | −0.137089 | + | 0.305278i | ||||
\(381\) | −35.0765 | − | 25.4846i | −1.79702 | − | 1.30561i | ||||
\(382\) | −16.9419 | + | 14.2160i | −0.866825 | + | 0.727353i | ||||
\(383\) | −6.56748 | − | 9.73669i | −0.335583 | − | 0.497522i | 0.623045 | − | 0.782186i | \(-0.285896\pi\) |
−0.958627 | + | 0.284665i | \(0.908118\pi\) | |||||||
\(384\) | −5.71566 | − | 3.03907i | −0.291676 | − | 0.155087i | ||||
\(385\) | −1.16998 | − | 1.74775i | −0.0596278 | − | 0.0890738i | ||||
\(386\) | −9.19417 | − | 11.7680i | −0.467971 | − | 0.598975i | ||||
\(387\) | −13.2603 | − | 14.7271i | −0.674060 | − | 0.748619i | ||||
\(388\) | 4.96186 | − | 1.05468i | 0.251900 | − | 0.0535431i | ||||
\(389\) | −0.991067 | + | 2.45298i | −0.0502491 | + | 0.124371i | −0.950221 | − | 0.311578i | \(-0.899143\pi\) |
0.899972 | + | 0.435949i | \(0.143587\pi\) | |||||||
\(390\) | 1.16556 | + | 37.1057i | 0.0590203 | + | 1.87892i | ||||
\(391\) | −11.0878 | + | 2.35680i | −0.560737 | + | 0.119188i | ||||
\(392\) | −15.2304 | + | 6.78100i | −0.769250 | + | 0.342492i | ||||
\(393\) | 9.51891 | − | 3.46460i | 0.480165 | − | 0.174766i | ||||
\(394\) | 7.74494 | − | 15.8795i | 0.390184 | − | 0.799997i | ||||
\(395\) | 30.1517 | − | 18.6943i | 1.51710 | − | 0.940610i | ||||
\(396\) | −1.33317 | + | 0.382282i | −0.0669946 | + | 0.0192104i | ||||
\(397\) | 0.948482 | − | 3.80415i | 0.0476029 | − | 0.190925i | −0.941787 | − | 0.336211i | \(-0.890855\pi\) |
0.989390 | + | 0.145286i | \(0.0464101\pi\) | |||||||
\(398\) | 0.212804 | + | 0.654944i | 0.0106669 | + | 0.0328294i | ||||
\(399\) | 12.9886 | − | 2.29437i | 0.650242 | − | 0.114862i | ||||
\(400\) | 1.23398 | − | 10.9983i | 0.0616989 | − | 0.549915i | ||||
\(401\) | 17.6987 | − | 14.8510i | 0.883833 | − | 0.741624i | −0.0831303 | − | 0.996539i | \(-0.526492\pi\) |
0.966964 | + | 0.254914i | \(0.0820473\pi\) | |||||||
\(402\) | −0.512696 | + | 14.6817i | −0.0255710 | + | 0.732257i | ||||
\(403\) | 15.6246 | + | 32.0352i | 0.778318 | + | 1.59579i | ||||
\(404\) | −6.17237 | − | 5.96059i | −0.307087 | − | 0.296551i | ||||
\(405\) | −3.81209 | + | 21.1849i | −0.189424 | + | 1.05269i | ||||
\(406\) | 0.120719 | − | 0.0537475i | 0.00599118 | − | 0.00266744i | ||||
\(407\) | 1.04269 | + | 1.80600i | 0.0516844 | + | 0.0895201i | ||||
\(408\) | 2.85875 | + | 11.4658i | 0.141529 | + | 0.567644i | ||||
\(409\) | 27.5053 | − | 17.1872i | 1.36005 | − | 0.849853i | 0.363399 | − | 0.931634i | \(-0.381616\pi\) |
0.996650 | + | 0.0817804i | \(0.0260606\pi\) | |||||||
\(410\) | −16.7375 | + | 12.0711i | −0.826607 | + | 0.596150i | ||||
\(411\) | −5.94730 | − | 1.26414i | −0.293358 | − | 0.0623553i | ||||
\(412\) | 0.288506 | + | 8.26174i | 0.0142137 | + | 0.407027i | ||||
\(413\) | −5.78598 | − | 0.813167i | −0.284710 | − | 0.0400133i | ||||
\(414\) | −22.4937 | + | 3.16128i | −1.10551 | + | 0.155369i | ||||
\(415\) | 0.160499 | − | 0.133719i | 0.00787857 | − | 0.00656399i | ||||
\(416\) | 8.08845 | + | 20.0196i | 0.396569 | + | 0.981542i | ||||
\(417\) | −40.3109 | − | 29.2876i | −1.97404 | − | 1.43422i | ||||
\(418\) | 2.41509 | + | 2.87639i | 0.118126 | + | 0.140689i | ||||
\(419\) | −10.5567 | − | 7.66989i | −0.515728 | − | 0.374698i | 0.299264 | − | 0.954170i | \(-0.403259\pi\) |
−0.814992 | + | 0.579472i | \(0.803259\pi\) | |||||||
\(420\) | 4.00588 | − | 2.11199i | 0.195467 | − | 0.103055i | ||||
\(421\) | 9.13751 | − | 2.62014i | 0.445335 | − | 0.127698i | −0.0454728 | − | 0.998966i | \(-0.514479\pi\) |
0.490808 | + | 0.871268i | \(0.336702\pi\) | |||||||
\(422\) | −2.68895 | − | 5.51316i | −0.130896 | − | 0.268377i | ||||
\(423\) | 0.907599 | − | 0.482579i | 0.0441290 | − | 0.0234638i | ||||
\(424\) | 29.6304 | − | 10.7846i | 1.43898 | − | 0.523745i | ||||
\(425\) | −6.49293 | + | 4.64820i | −0.314953 | + | 0.225471i | ||||
\(426\) | −14.2762 | − | 24.7271i | −0.691685 | − | 1.19803i | ||||
\(427\) | 1.66244 | − | 4.11469i | 0.0804513 | − | 0.199124i | ||||
\(428\) | −1.95496 | − | 0.136704i | −0.0944963 | − | 0.00660783i | ||||
\(429\) | −9.82079 | − | 4.37250i | −0.474152 | − | 0.211106i | ||||
\(430\) | −1.99025 | + | 18.3181i | −0.0959782 | + | 0.883375i | ||||
\(431\) | 7.57817 | + | 2.17300i | 0.365028 | + | 0.104670i | 0.453137 | − | 0.891441i | \(-0.350305\pi\) |
−0.0881096 | + | 0.996111i | \(0.528083\pi\) | |||||||
\(432\) | −0.208530 | − | 1.18263i | −0.0100329 | − | 0.0568995i | ||||
\(433\) | −4.19645 | + | 4.05247i | −0.201669 | + | 0.194749i | −0.788634 | − | 0.614863i | \(-0.789211\pi\) |
0.586965 | + | 0.809612i | \(0.300322\pi\) | |||||||
\(434\) | −5.32206 | + | 6.81192i | −0.255467 | + | 0.326983i | ||||
\(435\) | 0.432381 | − | 0.227961i | 0.0207311 | − | 0.0109299i | ||||
\(436\) | −1.04129 | − | 3.20477i | −0.0498689 | − | 0.153481i | ||||
\(437\) | −16.4031 | − | 26.2325i | −0.784668 | − | 1.25487i | ||||
\(438\) | −2.39819 | + | 7.38088i | −0.114590 | + | 0.352672i | ||||
\(439\) | 11.2698 | + | 7.04217i | 0.537880 | + | 0.336104i | 0.771506 | − | 0.636222i | \(-0.219504\pi\) |
−0.233627 | + | 0.972326i | \(0.575059\pi\) | |||||||
\(440\) | 4.35187 | + | 2.74061i | 0.207467 | + | 0.130653i | ||||
\(441\) | 13.2623 | + | 7.05169i | 0.631538 | + | 0.335795i | ||||
\(442\) | −4.83707 | + | 9.91746i | −0.230076 | + | 0.471725i | ||||
\(443\) | −25.5165 | + | 9.28724i | −1.21232 | + | 0.441250i | −0.867510 | − | 0.497420i | \(-0.834281\pi\) |
−0.344815 | + | 0.938671i | \(0.612058\pi\) | |||||||
\(444\) | −4.10196 | + | 1.82631i | −0.194671 | + | 0.0866729i | ||||
\(445\) | 18.0437 | + | 13.2064i | 0.855351 | + | 0.626041i | ||||
\(446\) | 28.5773 | + | 1.99832i | 1.35317 | + | 0.0946231i | ||||
\(447\) | 16.6266 | + | 1.16264i | 0.786411 | + | 0.0549912i | ||||
\(448\) | −7.23417 | + | 8.03436i | −0.341782 | + | 0.379588i | ||||
\(449\) | −19.4124 | + | 33.6232i | −0.916127 | + | 1.58678i | −0.110885 | + | 0.993833i | \(0.535368\pi\) |
−0.805243 | + | 0.592945i | \(0.797965\pi\) | |||||||
\(450\) | −13.6289 | + | 8.38401i | −0.642472 | + | 0.395226i | ||||
\(451\) | −1.03768 | − | 5.88498i | −0.0488625 | − | 0.277113i | ||||
\(452\) | −8.48619 | + | 1.19266i | −0.399157 | + | 0.0560978i | ||||
\(453\) | −1.96300 | + | 0.562882i | −0.0922299 | + | 0.0264465i | ||||
\(454\) | 3.81808 | − | 15.3135i | 0.179191 | − | 0.718697i | ||||
\(455\) | 16.4837 | + | 3.56415i | 0.772767 | + | 0.167090i | ||||
\(456\) | −26.7328 | + | 18.0435i | −1.25188 | + | 0.844966i | ||||
\(457\) | −30.9909 | −1.44969 | −0.724846 | − | 0.688911i | \(-0.758089\pi\) | ||||
−0.724846 | + | 0.688911i | \(0.758089\pi\) | |||||||
\(458\) | 7.56257 | − | 0.528826i | 0.353376 | − | 0.0247104i | ||||
\(459\) | −0.533441 | + | 0.682773i | −0.0248989 | + | 0.0318691i | ||||
\(460\) | −8.11332 | − | 6.85649i | −0.378285 | − | 0.319685i | ||||
\(461\) | −8.47224 | + | 4.50477i | −0.394592 | + | 0.209808i | −0.654897 | − | 0.755718i | \(-0.727288\pi\) |
0.260305 | + | 0.965526i | \(0.416177\pi\) | |||||||
\(462\) | −0.0909924 | − | 2.60568i | −0.00423335 | − | 0.121227i | ||||
\(463\) | −20.0385 | − | 22.2550i | −0.931269 | − | 1.03428i | −0.999330 | − | 0.0365977i | \(-0.988348\pi\) |
0.0680612 | − | 0.997681i | \(-0.478319\pi\) | |||||||
\(464\) | −0.134734 | + | 0.149637i | −0.00625486 | + | 0.00694673i | ||||
\(465\) | −17.9733 | + | 26.4461i | −0.833493 | + | 1.22641i | ||||
\(466\) | −25.3497 | + | 15.8403i | −1.17430 | + | 0.733786i | ||||
\(467\) | −3.73413 | + | 35.5278i | −0.172795 | + | 1.64403i | 0.473391 | + | 0.880853i | \(0.343030\pi\) |
−0.646186 | + | 0.763180i | \(0.723637\pi\) | |||||||
\(468\) | 5.56043 | − | 9.63095i | 0.257031 | − | 0.445191i | ||||
\(469\) | 6.41511 | + | 1.83950i | 0.296222 | + | 0.0849404i | ||||
\(470\) | −0.896960 | − | 0.330032i | −0.0413737 | − | 0.0152232i | ||||
\(471\) | 9.59208 | + | 19.6667i | 0.441980 | + | 0.906193i | ||||
\(472\) | 13.7339 | − | 3.93813i | 0.632153 | − | 0.181267i | ||||
\(473\) | −4.52491 | − | 2.82748i | −0.208056 | − | 0.130008i | ||||
\(474\) | 43.9792 | 2.02003 | ||||||||
\(475\) | −17.9864 | − | 12.3081i | −0.825272 | − | 0.564736i | ||||
\(476\) | 1.34599 | 0.0616935 | ||||||||
\(477\) | −24.0921 | − | 15.0544i | −1.10310 | − | 0.689295i | ||||
\(478\) | 8.11607 | − | 2.32725i | 0.371221 | − | 0.106446i | ||||
\(479\) | −1.08799 | − | 2.23070i | −0.0497114 | − | 0.101923i | 0.872492 | − | 0.488628i | \(-0.162502\pi\) |
−0.922204 | + | 0.386704i | \(0.873613\pi\) | |||||||
\(480\) | −11.9791 | + | 15.2222i | −0.546768 | + | 0.694797i | ||||
\(481\) | −16.0739 | − | 4.60912i | −0.732908 | − | 0.210158i | ||||
\(482\) | 9.35010 | − | 16.1948i | 0.425885 | − | 0.737655i | ||||
\(483\) | −2.24500 | + | 21.3598i | −0.102151 | + | 0.971903i | ||||
\(484\) | 5.92684 | − | 3.70350i | 0.269402 | − | 0.168341i | ||||
\(485\) | 0.532095 | + | 16.9393i | 0.0241612 | + | 0.769174i | ||||
\(486\) | −16.5987 | + | 18.4347i | −0.752933 | + | 0.836217i | ||||
\(487\) | 5.25732 | + | 5.83884i | 0.238232 | + | 0.264583i | 0.850391 | − | 0.526151i | \(-0.176366\pi\) |
−0.612159 | + | 0.790735i | \(0.709699\pi\) | |||||||
\(488\) | 0.378720 | + | 10.8451i | 0.0171439 | + | 0.490936i | ||||
\(489\) | −14.1137 | + | 7.50438i | −0.638243 | + | 0.339360i | ||||
\(490\) | −3.33114 | − | 13.5628i | −0.150486 | − | 0.612706i | ||||
\(491\) | −19.3851 | + | 24.8118i | −0.874836 | + | 1.11974i | 0.117115 | + | 0.993118i | \(0.462635\pi\) |
−0.991951 | + | 0.126621i | \(0.959587\pi\) | |||||||
\(492\) | 12.8354 | − | 0.897537i | 0.578664 | − | 0.0404641i | ||||
\(493\) | 0.145282 | 0.00654316 | ||||||||
\(494\) | −29.9521 | − | 3.13874i | −1.34761 | − | 0.141219i | ||||
\(495\) | −0.468184 | − | 4.60984i | −0.0210433 | − | 0.207197i | ||||
\(496\) | 3.18665 | − | 12.7809i | 0.143085 | − | 0.573881i | ||||
\(497\) | −12.4683 | + | 3.57522i | −0.559279 | + | 0.160371i | ||||
\(498\) | 0.256449 | − | 0.0360415i | 0.0114917 | − | 0.00161506i | ||||
\(499\) | −3.91463 | − | 22.2010i | −0.175243 | − | 0.993851i | −0.937863 | − | 0.347005i | \(-0.887199\pi\) |
0.762620 | − | 0.646846i | \(-0.223912\pi\) | |||||||
\(500\) | −7.17096 | − | 2.13809i | −0.320695 | − | 0.0956184i | ||||
\(501\) | 7.19763 | − | 12.4667i | 0.321566 | − | 0.556969i | ||||
\(502\) | 17.3120 | − | 19.2270i | 0.772674 | − | 0.858141i | ||||
\(503\) | 8.54194 | + | 0.597311i | 0.380866 | + | 0.0266328i | 0.258907 | − | 0.965902i | \(-0.416638\pi\) |
0.121959 | + | 0.992535i | \(0.461082\pi\) | |||||||
\(504\) | 10.7307 | + | 0.750366i | 0.477985 | + | 0.0334240i | ||||
\(505\) | 23.2513 | − | 16.7688i | 1.03467 | − | 0.746204i | ||||
\(506\) | −5.58708 | + | 2.48753i | −0.248376 | + | 0.110584i | ||||
\(507\) | 51.6473 | − | 18.7981i | 2.29374 | − | 0.834852i | ||||
\(508\) | 5.29383 | − | 10.8540i | 0.234876 | − | 0.481566i | ||||
\(509\) | −24.1611 | − | 12.8467i | −1.07092 | − | 0.569418i | −0.162171 | − | 0.986763i | \(-0.551850\pi\) |
−0.908748 | + | 0.417344i | \(0.862961\pi\) | |||||||
\(510\) | −9.87723 | + | 0.655902i | −0.437371 | + | 0.0290438i | ||||
\(511\) | 2.98981 | + | 1.86824i | 0.132261 | + | 0.0826461i | ||||
\(512\) | 6.67816 | − | 20.5532i | 0.295136 | − | 0.908334i | ||||
\(513\) | −2.24933 | − | 0.730084i | −0.0993105 | − | 0.0322340i | ||||
\(514\) | −1.17349 | − | 3.61162i | −0.0517602 | − | 0.159302i | ||||
\(515\) | −27.3364 | − | 3.93964i | −1.20459 | − | 0.173601i | ||||
\(516\) | 7.07304 | − | 9.05308i | 0.311373 | − | 0.398540i | ||||
\(517\) | 0.199086 | − | 0.192255i | 0.00875578 | − | 0.00845536i | ||||
\(518\) | −0.704239 | − | 3.99394i | −0.0309425 | − | 0.175484i | ||||
\(519\) | 42.8335 | + | 12.2823i | 1.88018 | + | 0.539133i | ||||
\(520\) | −40.3672 | + | 8.43255i | −1.77022 | + | 0.369792i | ||||
\(521\) | −13.8803 | − | 6.17989i | −0.608105 | − | 0.270746i | 0.0794950 | − | 0.996835i | \(-0.474669\pi\) |
−0.687600 | + | 0.726089i | \(0.741336\pi\) | |||||||
\(522\) | 0.290414 | + | 0.0203077i | 0.0127111 | + | 0.000888844i | ||||
\(523\) | −14.9477 | + | 36.9969i | −0.653619 | + | 1.61776i | 0.126380 | + | 0.991982i | \(0.459664\pi\) |
−0.779999 | + | 0.625781i | \(0.784780\pi\) | |||||||
\(524\) | 1.41072 | + | 2.44344i | 0.0616275 | + | 0.106742i | ||||
\(525\) | 4.57431 | + | 14.4215i | 0.199639 | + | 0.629406i | ||||
\(526\) | −5.89445 | + | 2.14541i | −0.257010 | + | 0.0935441i | ||||
\(527\) | −8.39149 | + | 4.46183i | −0.365539 | + | 0.194360i | ||||
\(528\) | 1.74160 | + | 3.57082i | 0.0757935 | + | 0.155400i | ||||
\(529\) | 26.3185 | − | 7.54672i | 1.14428 | − | 0.328118i | ||||
\(530\) | 4.49560 | + | 26.0290i | 0.195276 | + | 1.13063i | ||||
\(531\) | −10.4139 | − | 7.56614i | −0.451925 | − | 0.328343i | ||||
\(532\) | 1.25754 | + | 3.45175i | 0.0545214 | + | 0.149652i | ||||
\(533\) | 38.7654 | + | 28.1647i | 1.67912 | + | 1.21995i | ||||
\(534\) | 10.3838 | + | 25.7008i | 0.449350 | + | 1.11218i | ||||
\(535\) | 1.60620 | − | 6.34727i | 0.0694422 | − | 0.274416i | ||||
\(536\) | −16.1601 | + | 2.27115i | −0.698009 | + | 0.0980987i | ||||
\(537\) | 58.5715 | + | 8.23168i | 2.52754 | + | 0.355223i | ||||
\(538\) | −0.715773 | − | 20.4971i | −0.0308592 | − | 0.883691i | ||||
\(539\) | 3.95581 | + | 0.840833i | 0.170389 | + | 0.0362172i | ||||
\(540\) | −0.811942 | − | 0.00284592i | −0.0349404 | − | 0.000122469i | ||||
\(541\) | 16.6525 | − | 10.4057i | 0.715948 | − | 0.447374i | −0.122420 | − | 0.992478i | \(-0.539066\pi\) |
0.838368 | + | 0.545104i | \(0.183510\pi\) | |||||||
\(542\) | 3.32690 | + | 13.3435i | 0.142903 | + | 0.573151i | ||||
\(543\) | −18.9201 | − | 32.7706i | −0.811939 | − | 1.40632i | ||||
\(544\) | −5.25964 | + | 2.34174i | −0.225505 | + | 0.100401i | ||||
\(545\) | 11.1538 | − | 1.52772i | 0.477777 | − | 0.0654403i | ||||
\(546\) | 15.0388 | + | 14.5228i | 0.643601 | + | 0.621519i | ||||
\(547\) | −4.38666 | − | 8.99399i | −0.187560 | − | 0.384555i | 0.784206 | − | 0.620500i | \(-0.213070\pi\) |
−0.971766 | + | 0.235945i | \(0.924182\pi\) | |||||||
\(548\) | 0.0591022 | − | 1.69246i | 0.00252472 | − | 0.0722985i | ||||
\(549\) | 7.48958 | − | 6.28450i | 0.319647 | − | 0.268216i | ||||
\(550\) | −2.90515 | + | 3.18136i | −0.123876 | + | 0.135653i | ||||
\(551\) | 0.135735 | + | 0.372570i | 0.00578249 | + | 0.0158720i | ||||
\(552\) | −16.2290 | − | 49.9478i | −0.690753 | − | 2.12592i | ||||
\(553\) | 4.83331 | − | 19.3853i | 0.205533 | − | 0.824348i | ||||
\(554\) | −18.8842 | + | 5.41495i | −0.802312 | + | 0.230059i | ||||
\(555\) | −3.57812 | − | 14.5684i | −0.151883 | − | 0.618394i | ||||
\(556\) | 6.08382 | − | 12.4737i | 0.258011 | − | 0.529002i | ||||
\(557\) | −8.31775 | + | 3.02741i | −0.352435 | + | 0.128276i | −0.512170 | − | 0.858884i | \(-0.671158\pi\) |
0.159735 | + | 0.987160i | \(0.448936\pi\) | |||||||
\(558\) | −17.3980 | + | 7.74609i | −0.736516 | + | 0.327918i | ||||
\(559\) | 41.8492 | − | 8.89532i | 1.77003 | − | 0.376232i | ||||
\(560\) | −3.81991 | − | 4.92475i | −0.161421 | − | 0.208109i | ||||
\(561\) | 1.07381 | − | 2.65778i | 0.0453363 | − | 0.112211i | ||||
\(562\) | −21.6568 | + | 4.60329i | −0.913537 | + | 0.194178i | ||||
\(563\) | 12.7505 | + | 14.1609i | 0.537370 | + | 0.596810i | 0.949287 | − | 0.314412i | \(-0.101807\pi\) |
−0.411917 | + | 0.911221i | \(0.635141\pi\) | |||||||
\(564\) | 0.366879 | + | 0.469583i | 0.0154484 | + | 0.0197730i | ||||
\(565\) | 1.09947 | − | 28.6094i | 0.0462552 | − | 1.20361i | ||||
\(566\) | 11.2673 | + | 5.99094i | 0.473601 | + | 0.251818i | ||||
\(567\) | 6.77850 | + | 10.0495i | 0.284670 | + | 0.422041i | ||||
\(568\) | 24.2967 | − | 20.3873i | 1.01947 | − | 0.855433i | ||||
\(569\) | −6.45359 | − | 4.68881i | −0.270549 | − | 0.196565i | 0.444236 | − | 0.895910i | \(-0.353475\pi\) |
−0.714784 | + | 0.699345i | \(0.753475\pi\) | |||||||
\(570\) | −10.9102 | − | 24.7170i | −0.456977 | − | 1.03528i | ||||
\(571\) | −36.9358 | + | 26.8354i | −1.54572 | + | 1.12303i | −0.599095 | + | 0.800678i | \(0.704473\pi\) |
−0.946621 | + | 0.322350i | \(0.895527\pi\) | |||||||
\(572\) | 0.724370 | − | 2.90529i | 0.0302874 | − | 0.121476i | ||||
\(573\) | −1.60781 | + | 46.0416i | −0.0671671 | + | 1.92341i | ||||
\(574\) | −2.01803 | + | 11.4448i | −0.0842307 | + | 0.477696i | ||||
\(575\) | 27.3455 | − | 22.6208i | 1.14039 | − | 0.943354i | ||||
\(576\) | −22.3818 | + | 8.14631i | −0.932575 | + | 0.339430i | ||||
\(577\) | 33.9130 | + | 7.20844i | 1.41182 | + | 0.300091i | 0.849831 | − | 0.527055i | \(-0.176704\pi\) |
0.561987 | + | 0.827146i | \(0.310037\pi\) | |||||||
\(578\) | 15.2273 | + | 6.77963i | 0.633372 | + | 0.281995i | ||||
\(579\) | −31.0325 | − | 2.17000i | −1.28967 | − | 0.0901823i | ||||
\(580\) | 0.0834413 | + | 0.107575i | 0.00346471 | + | 0.00446681i | ||||
\(581\) | 0.0122971 | − | 0.116999i | 0.000510171 | − | 0.00485396i | ||||
\(582\) | −10.5047 | + | 18.1946i | −0.435433 | + | 0.754192i | ||||
\(583\) | −7.35264 | − | 2.10834i | −0.304515 | − | 0.0873184i | ||||
\(584\) | −8.53697 | − | 1.19979i | −0.353262 | − | 0.0496478i | ||||
\(585\) | 28.3779 | + | 23.9819i | 1.17328 | + | 0.991528i | ||||
\(586\) | 0.0713987 | − | 2.04459i | 0.00294946 | − | 0.0844613i | ||||
\(587\) | −4.89963 | − | 12.1270i | −0.202229 | − | 0.500535i | 0.791654 | − | 0.610970i | \(-0.209220\pi\) |
−0.993883 | + | 0.110434i | \(0.964776\pi\) | |||||||
\(588\) | −2.69084 | + | 8.28155i | −0.110968 | + | 0.341525i | ||||
\(589\) | −19.2822 | − | 17.3510i | −0.794511 | − | 0.714936i | ||||
\(590\) | 1.20932 | + | 11.9073i | 0.0497871 | + | 0.490215i | ||||
\(591\) | −13.7866 | − | 34.1230i | −0.567105 | − | 1.40363i | ||||
\(592\) | 3.45567 | + | 5.12325i | 0.142027 | + | 0.210564i | ||||
\(593\) | 6.16481 | − | 34.9624i | 0.253158 | − | 1.43573i | −0.547598 | − | 0.836742i | \(-0.684458\pi\) |
0.800756 | − | 0.598990i | \(-0.204431\pi\) | |||||||
\(594\) | −0.204927 | + | 0.420162i | −0.00840824 | + | 0.0172395i | ||||
\(595\) | −0.796394 | + | 4.42581i | −0.0326490 | + | 0.181440i | ||||
\(596\) | 0.485251 | + | 4.61685i | 0.0198766 | + | 0.189114i | ||||
\(597\) | 1.31049 | + | 0.583468i | 0.0536348 | + | 0.0238797i | ||||
\(598\) | 18.3706 | − | 45.4689i | 0.751230 | − | 1.85936i | ||||
\(599\) | −34.9601 | − | 29.3350i | −1.42843 | − | 1.19860i | −0.946633 | − | 0.322313i | \(-0.895540\pi\) |
−0.481797 | − | 0.876283i | \(-0.660016\pi\) | |||||||
\(600\) | −24.5618 | − | 27.6662i | −1.00273 | − | 1.12947i | ||||
\(601\) | 9.66507 | − | 16.7404i | 0.394247 | − | 0.682855i | −0.598758 | − | 0.800930i | \(-0.704339\pi\) |
0.993005 | + | 0.118075i | \(0.0376723\pi\) | |||||||
\(602\) | 6.38844 | + | 8.17683i | 0.260373 | + | 0.333263i | ||||
\(603\) | 10.5762 | + | 10.2133i | 0.430695 | + | 0.415917i | ||||
\(604\) | −0.249339 | − | 0.511221i | −0.0101455 | − | 0.0208013i | ||||
\(605\) | 8.67083 | + | 21.6795i | 0.352519 | + | 0.881398i | ||||
\(606\) | 35.4512 | − | 2.47899i | 1.44011 | − | 0.100702i | ||||
\(607\) | 47.6125 | 1.93253 | 0.966266 | − | 0.257546i | \(-0.0829139\pi\) | ||||
0.966266 | + | 0.257546i | \(0.0829139\pi\) | |||||||
\(608\) | −10.9193 | − | 11.3003i | −0.442837 | − | 0.458287i | ||||
\(609\) | 0.0850614 | − | 0.261792i | 0.00344686 | − | 0.0106084i | ||||
\(610\) | −8.99755 | − | 1.29670i | −0.364300 | − | 0.0525018i | ||||
\(611\) | −0.0774494 | + | 2.21786i | −0.00313327 | + | 0.0897251i | ||||
\(612\) | 2.61824 | + | 1.39214i | 0.105836 | + | 0.0562741i | ||||
\(613\) | 14.5536 | + | 2.04537i | 0.587813 | + | 0.0826118i | 0.426809 | − | 0.904342i | \(-0.359638\pi\) |
0.161005 | + | 0.986954i | \(0.448527\pi\) | |||||||
\(614\) | 20.3697 | + | 26.0720i | 0.822055 | + | 1.05218i | ||||
\(615\) | −4.64318 | + | 42.7355i | −0.187231 | + | 1.72326i | ||||
\(616\) | 2.83296 | − | 0.602163i | 0.114143 | − | 0.0242619i | ||||
\(617\) | −8.91248 | − | 35.7460i | −0.358803 | − | 1.43908i | −0.830351 | − | 0.557240i | \(-0.811860\pi\) |
0.471548 | − | 0.881840i | \(-0.343695\pi\) | |||||||
\(618\) | −26.2278 | − | 22.0078i | −1.05504 | − | 0.885282i | ||||
\(619\) | 0.484470 | − | 4.60943i | 0.0194725 | − | 0.185269i | −0.980462 | − | 0.196708i | \(-0.936975\pi\) |
0.999935 | + | 0.0114398i | \(0.00364147\pi\) | |||||||
\(620\) | −8.12338 | − | 3.65093i | −0.326243 | − | 0.146625i | ||||
\(621\) | 2.15335 | − | 3.19247i | 0.0864108 | − | 0.128109i | ||||
\(622\) | −16.1750 | − | 15.6200i | −0.648557 | − | 0.626304i | ||||
\(623\) | 12.4697 | − | 1.75250i | 0.499586 | − | 0.0702123i | ||||
\(624\) | −29.9355 | − | 10.8956i | −1.19838 | − | 0.436174i | ||||
\(625\) | 11.2732 | − | 22.3140i | 0.450929 | − | 0.892560i | ||||
\(626\) | −23.4404 | −0.936867 | ||||||||
\(627\) | 7.81901 | + | 0.270627i | 0.312261 | + | 0.0108078i | ||||
\(628\) | −4.93058 | + | 3.58227i | −0.196751 | + | 0.142948i | ||||
\(629\) | 1.07868 | − | 4.32634i | 0.0430097 | − | 0.172502i | ||||
\(630\) | −2.21061 | + | 8.73573i | −0.0880730 | + | 0.348040i | ||||
\(631\) | 19.6160 | − | 18.9429i | 0.780899 | − | 0.754106i | −0.192973 | − | 0.981204i | \(-0.561813\pi\) |
0.973872 | + | 0.227098i | \(0.0729239\pi\) | |||||||
\(632\) | 8.48334 | + | 48.1114i | 0.337449 | + | 1.91377i | ||||
\(633\) | −12.2825 | − | 3.52196i | −0.488187 | − | 0.139985i | ||||
\(634\) | 19.0710 | + | 21.1805i | 0.757406 | + | 0.841184i | ||||
\(635\) | 32.5570 | + | 23.8288i | 1.29199 | + | 0.945619i | ||||
\(636\) | 6.16952 | − | 15.2701i | 0.244638 | − | 0.605499i | ||||
\(637\) | −27.5007 | + | 17.1844i | −1.08962 | + | 0.680870i | ||||
\(638\) | 0.0766704 | − | 0.0162968i | 0.00303541 | − | 0.000645196i | ||||
\(639\) | −27.9512 | − | 5.94122i | −1.10573 | − | 0.235031i | ||||
\(640\) | 5.30875 | + | 2.84662i | 0.209847 | + | 0.112523i | ||||
\(641\) | 13.7301 | + | 1.92964i | 0.542306 | + | 0.0762161i | 0.405007 | − | 0.914314i | \(-0.367269\pi\) |
0.137299 | + | 0.990530i | \(0.456158\pi\) | |||||||
\(642\) | 5.83851 | − | 5.63819i | 0.230428 | − | 0.222521i | ||||
\(643\) | −19.9914 | − | 7.27626i | −0.788382 | − | 0.286948i | −0.0837187 | − | 0.996489i | \(-0.526680\pi\) |
−0.704663 | + | 0.709542i | \(0.748902\pi\) | |||||||
\(644\) | −5.96749 | + | 0.417288i | −0.235152 | + | 0.0164434i | ||||
\(645\) | 25.5828 | + | 28.6136i | 1.00732 | + | 1.12666i | ||||
\(646\) | 0.557695 | − | 8.01098i | 0.0219422 | − | 0.315188i | ||||
\(647\) | 10.5749 | − | 7.68309i | 0.415741 | − | 0.302054i | −0.360181 | − | 0.932882i | \(-0.617285\pi\) |
0.775922 | + | 0.630829i | \(0.217285\pi\) | |||||||
\(648\) | −25.1374 | − | 15.7076i | −0.987489 | − | 0.617052i | ||||
\(649\) | −3.25678 | − | 1.18537i | −0.127840 | − | 0.0465299i | ||||
\(650\) | −0.963575 | − | 34.5322i | −0.0377945 | − | 1.35446i | ||||
\(651\) | 3.12690 | + | 17.7335i | 0.122553 | + | 0.695031i | ||||
\(652\) | −2.74105 | − | 3.50838i | −0.107348 | − | 0.137399i | ||||
\(653\) | −0.0454094 | − | 0.432041i | −0.00177701 | − | 0.0169071i | 0.993597 | − | 0.112978i | \(-0.0360390\pi\) |
−0.995374 | + | 0.0960711i | \(0.969372\pi\) | |||||||
\(654\) | 12.7495 | + | 5.67644i | 0.498545 | + | 0.221966i | ||||
\(655\) | −8.86903 | + | 3.19290i | −0.346542 | + | 0.124757i | ||||
\(656\) | −4.28403 | − | 17.1823i | −0.167263 | − | 0.670857i | ||||
\(657\) | 3.88351 | + | 6.72644i | 0.151510 | + | 0.262424i | ||||
\(658\) | −0.491699 | + | 0.218918i | −0.0191684 | + | 0.00853433i | ||||
\(659\) | −0.263330 | − | 7.54079i | −0.0102579 | − | 0.293747i | −0.993668 | − | 0.112353i | \(-0.964161\pi\) |
0.983410 | − | 0.181394i | \(-0.0580610\pi\) | |||||||
\(660\) | 2.58471 | − | 0.731358i | 0.100610 | − | 0.0284681i | ||||
\(661\) | −40.1693 | + | 5.64543i | −1.56241 | + | 0.219582i | −0.866731 | − | 0.498776i | \(-0.833783\pi\) |
−0.695674 | + | 0.718357i | \(0.744894\pi\) | |||||||
\(662\) | −5.51550 | + | 7.05951i | −0.214366 | + | 0.274376i | ||||
\(663\) | 8.61035 | + | 21.3114i | 0.334398 | + | 0.827665i | ||||
\(664\) | 0.0888955 | + | 0.273592i | 0.00344981 | + | 0.0106174i | ||||
\(665\) | −12.0939 | + | 2.09264i | −0.468980 | + | 0.0811493i | ||||
\(666\) | 2.76098 | − | 8.49743i | 0.106986 | − | 0.329269i | ||||
\(667\) | −0.644110 | + | 0.0450406i | −0.0249400 | + | 0.00174398i | ||||
\(668\) | 3.76768 | + | 1.37132i | 0.145776 | + | 0.0530582i | ||||
\(669\) | 42.9259 | − | 41.4531i | 1.65961 | − | 1.60267i | ||||
\(670\) | 0.524971 | − | 13.6603i | 0.0202814 | − | 0.527742i | ||||
\(671\) | 1.47201 | − | 2.18235i | 0.0568264 | − | 0.0842487i | ||||
\(672\) | 1.14025 | + | 10.8487i | 0.0439860 | + | 0.418499i | ||||
\(673\) | −30.9704 | + | 34.3962i | −1.19382 | + | 1.32587i | −0.261086 | + | 0.965316i | \(0.584081\pi\) |
−0.932737 | + | 0.360559i | \(0.882586\pi\) | |||||||
\(674\) | 25.0545 | + | 21.0232i | 0.965062 | + | 0.809783i | ||||
\(675\) | 0.489766 | − | 2.66809i | 0.0188511 | − | 0.102695i | ||||
\(676\) | 7.65422 | + | 13.2575i | 0.294393 | + | 0.509904i | ||||
\(677\) | 41.7105 | + | 8.86584i | 1.60306 | + | 0.340742i | 0.920700 | − | 0.390271i | \(-0.127619\pi\) |
0.682364 | + | 0.731013i | \(0.260952\pi\) | |||||||
\(678\) | 19.8469 | − | 29.4243i | 0.762217 | − | 1.13003i | ||||
\(679\) | 6.86544 | + | 6.62988i | 0.263471 | + | 0.254431i | ||||
\(680\) | −2.62279 | − | 10.6788i | −0.100579 | − | 0.409512i | ||||
\(681\) | −18.3839 | − | 27.2552i | −0.704471 | − | 1.04442i | ||||
\(682\) | −3.92799 | + | 3.29597i | −0.150410 | + | 0.126209i | ||||
\(683\) | 10.0847 | + | 7.32693i | 0.385879 | + | 0.280357i | 0.763765 | − | 0.645495i | \(-0.223349\pi\) |
−0.377886 | + | 0.925852i | \(0.623349\pi\) | |||||||
\(684\) | −1.12391 | + | 8.01504i | −0.0429740 | + | 0.306463i | ||||
\(685\) | 5.53008 | + | 1.19573i | 0.211293 | + | 0.0456865i | ||||
\(686\) | −15.2930 | − | 9.55616i | −0.583891 | − | 0.364856i | ||||
\(687\) | 9.72245 | − | 12.4442i | 0.370935 | − | 0.474775i | ||||
\(688\) | −13.9607 | − | 7.42306i | −0.532249 | − | 0.283002i | ||||
\(689\) | 54.1539 | − | 28.7941i | 2.06310 | − | 1.09697i | ||||
\(690\) | 43.5876 | − | 5.97011i | 1.65935 | − | 0.227278i | ||||
\(691\) | −9.60516 | − | 10.6676i | −0.365398 | − | 0.405815i | 0.532209 | − | 0.846613i | \(-0.321362\pi\) |
−0.897606 | + | 0.440798i | \(0.854696\pi\) | |||||||
\(692\) | −1.29731 | + | 12.3431i | −0.0493165 | + | 0.469215i | ||||
\(693\) | −1.99891 | − | 1.67729i | −0.0759323 | − | 0.0637148i | ||||
\(694\) | −1.66628 | − | 6.68307i | −0.0632510 | − | 0.253686i | ||||
\(695\) | 37.4155 | + | 27.3848i | 1.41925 | + | 1.03876i | ||||
\(696\) | 0.0703578 | + | 0.669410i | 0.00266691 | + | 0.0253739i | ||||
\(697\) | −7.14471 | + | 10.5925i | −0.270625 | + | 0.401218i | ||||
\(698\) | 0.138670 | − | 0.0737322i | 0.00524874 | − | 0.00279081i | ||||
\(699\) | −10.8126 | + | 61.3210i | −0.408968 | + | 2.31938i | ||||
\(700\) | −3.73453 | + | 1.95223i | −0.141152 | + | 0.0737873i | ||||
\(701\) | −23.6159 | + | 19.8161i | −0.891958 | + | 0.748442i | −0.968602 | − | 0.248617i | \(-0.920024\pi\) |
0.0766436 | + | 0.997059i | \(0.475580\pi\) | |||||||
\(702\) | −1.15833 | − | 3.56497i | −0.0437183 | − | 0.134551i | ||||
\(703\) | 12.1025 | − | 1.27581i | 0.456455 | − | 0.0481180i | ||||
\(704\) | −5.18817 | + | 3.76942i | −0.195536 | + | 0.142066i | ||||
\(705\) | −1.76113 | + | 0.928504i | −0.0663278 | + | 0.0349695i | ||||
\(706\) | −17.7480 | − | 26.3125i | −0.667956 | − | 0.990285i | ||||
\(707\) | 2.80338 | − | 15.8988i | 0.105432 | − | 0.597935i | ||||
\(708\) | 3.27129 | − | 6.70714i | 0.122943 | − | 0.252070i | ||||
\(709\) | −0.468907 | − | 13.4277i | −0.0176102 | − | 0.504289i | −0.975865 | − | 0.218374i | \(-0.929925\pi\) |
0.958255 | − | 0.285915i | \(-0.0922975\pi\) | |||||||
\(710\) | 13.2040 | + | 23.0562i | 0.495536 | + | 0.865283i | ||||
\(711\) | 29.4518 | − | 32.7095i | 1.10453 | − | 1.22670i | ||||
\(712\) | −26.1126 | + | 16.3170i | −0.978610 | + | 0.611504i | ||||
\(713\) | 35.8206 | − | 22.3832i | 1.34149 | − | 0.838256i | ||||
\(714\) | −3.73015 | + | 4.14275i | −0.139597 | + | 0.155039i | ||||
\(715\) | 9.12439 | + | 4.10082i | 0.341233 | + | 0.153362i | ||||
\(716\) | 0.574939 | + | 16.4641i | 0.0214865 | + | 0.615292i | ||||
\(717\) | 7.70995 | − | 15.8077i | 0.287933 | − | 0.590351i | ||||
\(718\) | 2.11455 | − | 11.9922i | 0.0789144 | − | 0.447546i | ||||
\(719\) | 11.6867 | + | 17.3263i | 0.435842 | + | 0.646162i | 0.981414 | − | 0.191902i | \(-0.0614654\pi\) |
−0.545572 | + | 0.838064i | \(0.683688\pi\) | |||||||
\(720\) | −2.33693 | − | 13.5306i | −0.0870923 | − | 0.504254i | ||||
\(721\) | −12.5831 | + | 9.14216i | −0.468619 | + | 0.340472i | ||||
\(722\) | 21.0649 | − | 6.05436i | 0.783955 | − | 0.225320i | ||||
\(723\) | −12.0374 | − | 37.0474i | −0.447677 | − | 1.37781i | ||||
\(724\) | 8.07377 | − | 6.77470i | 0.300059 | − | 0.251780i | ||||
\(725\) | −0.403092 | + | 0.210716i | −0.0149704 | + | 0.00782581i | ||||
\(726\) | −5.02626 | + | 28.5053i | −0.186542 | + | 1.05793i | ||||
\(727\) | −27.0082 | + | 14.3605i | −1.00168 | + | 0.532602i | −0.887475 | − | 0.460856i | \(-0.847542\pi\) |
−0.114203 | + | 0.993457i | \(0.536431\pi\) | |||||||
\(728\) | −12.9864 | + | 19.2532i | −0.481310 | + | 0.713571i | ||||
\(729\) | 2.38268 | + | 22.6697i | 0.0882475 | + | 0.839619i | ||||
\(730\) | 2.25569 | − | 6.86039i | 0.0834868 | − | 0.253914i | ||||
\(731\) | 2.75991 | + | 11.0694i | 0.102079 | + | 0.409416i | ||||
\(732\) | 4.34189 | + | 3.64328i | 0.160481 | + | 0.134659i | ||||
\(733\) | −2.12174 | + | 20.1870i | −0.0783682 | + | 0.745624i | 0.882817 | + | 0.469718i | \(0.155644\pi\) |
−0.961185 | + | 0.275906i | \(0.911022\pi\) | |||||||
\(734\) | 8.49240 | + | 9.43176i | 0.313460 | + | 0.348133i | ||||
\(735\) | −25.6387 | − | 13.7478i | −0.945699 | − | 0.507097i | ||||
\(736\) | 22.5927 | − | 12.0128i | 0.832779 | − | 0.442796i | ||||
\(737\) | 3.49523 | + | 1.85845i | 0.128749 | + | 0.0684568i | ||||
\(738\) | −15.7627 | + | 20.1753i | −0.580232 | + | 0.742663i | ||||
\(739\) | 7.05214 | + | 4.40667i | 0.259417 | + | 0.162102i | 0.653393 | − | 0.757019i | \(-0.273345\pi\) |
−0.393976 | + | 0.919121i | \(0.628901\pi\) | |||||||
\(740\) | 3.82300 | − | 1.68608i | 0.140536 | − | 0.0619815i | ||||
\(741\) | −46.6077 | + | 41.9918i | −1.71218 | + | 1.54261i | ||||
\(742\) | 12.0343 | + | 8.74346i | 0.441795 | + | 0.320983i | ||||
\(743\) | −3.32981 | + | 2.79404i | −0.122159 | + | 0.102503i | −0.701821 | − | 0.712354i | \(-0.747629\pi\) |
0.579662 | + | 0.814857i | \(0.303185\pi\) | |||||||
\(744\) | −24.6225 | − | 36.5044i | −0.902705 | − | 1.33832i | ||||
\(745\) | −15.4679 | − | 1.13612i | −0.566701 | − | 0.0416242i | ||||
\(746\) | 4.67073 | + | 4.51047i | 0.171007 | + | 0.165140i | ||||
\(747\) | 0.144931 | − | 0.214870i | 0.00530277 | − | 0.00786167i | ||||
\(748\) | 0.780955 | + | 0.165997i | 0.0285545 | + | 0.00606945i | ||||
\(749\) | −1.84357 | − | 3.19316i | −0.0673626 | − | 0.116676i | ||||
\(750\) | 26.4535 | − | 16.1457i | 0.965947 | − | 0.589559i | ||||
\(751\) | −22.1935 | − | 18.6225i | −0.809852 | − | 0.679546i | 0.140720 | − | 0.990049i | \(-0.455058\pi\) |
−0.950572 | + | 0.310503i | \(0.899503\pi\) | |||||||
\(752\) | 0.548783 | − | 0.609486i | 0.0200121 | − | 0.0222257i | ||||
\(753\) | −5.63348 | − | 53.5990i | −0.205296 | − | 1.95326i | ||||
\(754\) | −0.351462 | + | 0.521063i | −0.0127995 | + | 0.0189760i | ||||
\(755\) | 1.82849 | − | 0.517382i | 0.0665456 | − | 0.0188295i | ||||
\(756\) | −0.328917 | + | 0.317632i | −0.0119626 | + | 0.0115522i | ||||
\(757\) | 23.7811 | + | 8.65562i | 0.864340 | + | 0.314594i | 0.735873 | − | 0.677120i | \(-0.236772\pi\) |
0.128467 | + | 0.991714i | \(0.458994\pi\) | |||||||
\(758\) | 14.9586 | − | 1.04601i | 0.543322 | − | 0.0379928i | ||||
\(759\) | −3.93680 | + | 12.1162i | −0.142897 | + | 0.439791i | ||||
\(760\) | 24.9348 | − | 16.7031i | 0.904482 | − | 0.605884i | ||||
\(761\) | −2.12153 | − | 6.52941i | −0.0769055 | − | 0.236691i | 0.905212 | − | 0.424961i | \(-0.139712\pi\) |
−0.982117 | + | 0.188270i | \(0.939712\pi\) | |||||||
\(762\) | 18.7359 | + | 46.3731i | 0.678731 | + | 1.67992i | ||||
\(763\) | 3.90325 | − | 4.99593i | 0.141307 | − | 0.180865i | ||||
\(764\) | −12.7068 | + | 1.78583i | −0.459717 | + | 0.0646089i | ||||
\(765\) | −6.12671 | + | 7.78542i | −0.221512 | + | 0.281483i | ||||
\(766\) | 0.472822 | + | 13.5399i | 0.0170838 | + | 0.489215i | ||||
\(767\) | 25.3878 | − | 11.3034i | 0.916702 | − | 0.408142i | ||||
\(768\) | −16.8970 | − | 29.2665i | −0.609718 | − | 1.05606i | ||||
\(769\) | 11.1030 | + | 44.5317i | 0.400384 | + | 1.60585i | 0.744970 | + | 0.667098i | \(0.232464\pi\) |
−0.344586 | + | 0.938755i | \(0.611981\pi\) | |||||||
\(770\) | 0.0761735 | + | 2.42499i | 0.00274510 | + | 0.0873906i | ||||
\(771\) | −7.22655 | − | 3.21747i | −0.260258 | − | 0.115874i | ||||
\(772\) | −0.905690 | − | 8.61707i | −0.0325965 | − | 0.310135i | ||||
\(773\) | −16.5334 | − | 21.1618i | −0.594666 | − | 0.761138i | 0.392687 | − | 0.919672i | \(-0.371546\pi\) |
−0.987354 | + | 0.158534i | \(0.949323\pi\) | |||||||
\(774\) | 3.96967 | + | 22.5131i | 0.142687 | + | 0.809217i | ||||
\(775\) | 16.8112 | − | 24.5506i | 0.603875 | − | 0.881883i | ||||
\(776\) | −21.9305 | − | 7.98204i | −0.787258 | − | 0.286538i | ||||
\(777\) | −7.16434 | − | 4.47677i | −0.257019 | − | 0.160603i | ||||
\(778\) | 2.46903 | − | 1.79386i | 0.0885191 | − | 0.0643129i | ||||
\(779\) | −33.8392 | − | 8.42595i | −1.21241 | − | 0.301891i | ||||
\(780\) | −10.8349 | + | 18.6156i | −0.387952 | + | 0.666546i | ||||
\(781\) | −7.67511 | + | 0.536696i | −0.274637 | + | 0.0192045i | ||||
\(782\) | 12.2877 | + | 4.47235i | 0.439407 | + | 0.159931i | ||||
\(783\) | −0.0355022 | + | 0.0342840i | −0.00126874 | + | 0.00122521i | ||||
\(784\) | 11.8677 | + | 1.66790i | 0.423848 | + | 0.0595679i | ||||
\(785\) | −8.86168 | − | 18.3319i | −0.316287 | − | 0.654295i | ||||
\(786\) | −11.4300 | − | 2.42953i | −0.407695 | − | 0.0866583i | ||||
\(787\) | 23.9423 | − | 5.08909i | 0.853450 | − | 0.181406i | 0.239642 | − | 0.970861i | \(-0.422970\pi\) |
0.613808 | + | 0.789455i | \(0.289637\pi\) | |||||||
\(788\) | 8.69303 | − | 5.43201i | 0.309676 | − | 0.193507i | ||||
\(789\) | −4.89484 | + | 12.1152i | −0.174261 | + | 0.431311i | ||||
\(790\) | −40.9244 | − | 0.143443i | −1.45603 | − | 0.00510349i | ||||
\(791\) | −10.7886 | − | 11.9819i | −0.383598 | − | 0.426029i | ||||
\(792\) | 6.13350 | + | 1.75875i | 0.217945 | + | 0.0624946i | ||||
\(793\) | 3.66533 | + | 20.7871i | 0.130160 | + | 0.738173i | ||||
\(794\) | −3.25334 | + | 3.14171i | −0.115457 | + | 0.111495i | ||||
\(795\) | 46.5598 | + | 29.3212i | 1.65131 | + | 1.03992i | ||||
\(796\) | −0.0966602 | + | 0.387683i | −0.00342603 | + | 0.0137411i | ||||
\(797\) | −14.6600 | + | 10.6511i | −0.519286 | + | 0.377283i | −0.816335 | − | 0.577579i | \(-0.803997\pi\) |
0.297049 | + | 0.954862i | \(0.403997\pi\) | |||||||
\(798\) | −14.1090 | − | 5.69532i | −0.499451 | − | 0.201612i | ||||
\(799\) | −0.591746 | −0.0209345 | ||||||||
\(800\) | 11.1967 | − | 14.1259i | 0.395862 | − | 0.499424i | ||||
\(801\) | 26.0687 | + | 9.48822i | 0.921092 | + | 0.335250i | ||||
\(802\) | −26.3926 | + | 3.70924i | −0.931956 | + | 0.130978i | ||||
\(803\) | 1.50430 | + | 1.45269i | 0.0530858 | + | 0.0512643i | ||||
\(804\) | −4.76626 | + | 7.06626i | −0.168093 | + | 0.249208i | ||||
\(805\) | 2.15873 | − | 19.8688i | 0.0760854 | − | 0.700284i | ||||
\(806\) | 4.29778 | − | 40.8906i | 0.151383 | − | 1.44031i | ||||
\(807\) | −32.7277 | − | 27.4618i | −1.15207 | − | 0.966702i | ||||
\(808\) | 9.55025 | + | 38.3040i | 0.335977 | + | 1.34753i | ||||
\(809\) | −27.1705 | + | 5.77527i | −0.955265 | + | 0.203048i | −0.659071 | − | 0.752080i | \(-0.729051\pi\) |
−0.296193 | + | 0.955128i | \(0.595717\pi\) | |||||||
\(810\) | 16.6795 | − | 18.3944i | 0.586059 | − | 0.646314i | ||||
\(811\) | −2.08374 | − | 2.66707i | −0.0731700 | − | 0.0936534i | 0.750033 | − | 0.661400i | \(-0.230037\pi\) |
−0.823203 | + | 0.567747i | \(0.807815\pi\) | |||||||
\(812\) | 0.0759228 | + | 0.0106703i | 0.00266437 | + | 0.000374453i | ||||
\(813\) | 25.2933 | + | 13.4487i | 0.887074 | + | 0.471666i | ||||
\(814\) | 0.0839552 | − | 2.40416i | 0.00294263 | − | 0.0842658i | ||||
\(815\) | 13.1578 | − | 6.93710i | 0.460899 | − | 0.242996i | ||||
\(816\) | 2.62494 | − | 8.07872i | 0.0918912 | − | 0.282812i | ||||
\(817\) | −25.8085 | + | 17.4196i | −0.902924 | + | 0.609436i | ||||
\(818\) | −37.4143 | −1.30816 | ||||||||
\(819\) | 20.8724 | − | 1.45954i | 0.729342 | − | 0.0510006i | ||||
\(820\) | −11.9468 | + | 0.793331i | −0.417200 | + | 0.0277043i | ||||
\(821\) | −0.788569 | − | 1.61681i | −0.0275212 | − | 0.0564269i | 0.884591 | − | 0.466369i | \(-0.154438\pi\) |
−0.912112 | + | 0.409942i | \(0.865549\pi\) | |||||||
\(822\) | 5.04534 | + | 4.87223i | 0.175976 | + | 0.169939i | ||||
\(823\) | −20.8794 | − | 26.7244i | −0.727809 | − | 0.931554i | 0.271715 | − | 0.962378i | \(-0.412409\pi\) |
−0.999525 | + | 0.0308240i | \(0.990187\pi\) | |||||||
\(824\) | 19.0164 | − | 32.9373i | 0.662467 | − | 1.14743i | ||||
\(825\) | 0.875490 | + | 8.93159i | 0.0304806 | + | 0.310958i | ||||
\(826\) | 5.16321 | + | 4.33244i | 0.179651 | + | 0.150745i | ||||
\(827\) | 18.5528 | − | 45.9197i | 0.645142 | − | 1.59678i | −0.148853 | − | 0.988859i | \(-0.547558\pi\) |
0.793995 | − | 0.607924i | \(-0.207998\pi\) | |||||||
\(828\) | −12.0396 | − | 5.36039i | −0.418406 | − | 0.186286i | ||||
\(829\) | −4.71751 | − | 44.8841i | −0.163846 | − | 1.55889i | −0.699612 | − | 0.714523i | \(-0.746644\pi\) |
0.535766 | − | 0.844367i | \(-0.320023\pi\) | |||||||
\(830\) | −0.238754 | + | 0.0327017i | −0.00828726 | + | 0.00113509i | ||||
\(831\) | −17.9392 | + | 36.7809i | −0.622305 | + | 1.27591i | ||||
\(832\) | 8.92935 | − | 50.6408i | 0.309569 | − | 1.75566i | ||||
\(833\) | −4.83528 | − | 7.16860i | −0.167533 | − | 0.248377i | ||||
\(834\) | 21.5319 | + | 53.2933i | 0.745588 | + | 1.84540i | ||||
\(835\) | −6.73835 | + | 11.5773i | −0.233190 | + | 0.400648i | ||||
\(836\) | 0.303942 | + | 2.15782i | 0.0105120 | + | 0.0746297i | ||||
\(837\) | 0.997690 | − | 3.07058i | 0.0344852 | − | 0.106135i | ||||
\(838\) | 5.63880 | + | 13.9565i | 0.194789 | + | 0.482120i | ||||
\(839\) | −0.840166 | + | 24.0592i | −0.0290058 | + | 0.830616i | 0.894508 | + | 0.447052i | \(0.147526\pi\) |
−0.923514 | + | 0.383565i | \(0.874696\pi\) | |||||||
\(840\) | −20.7783 | − | 1.52617i | −0.716921 | − | 0.0526577i | ||||
\(841\) | −28.7096 | − | 4.03487i | −0.989985 | − | 0.139133i | ||||
\(842\) | −10.5407 | − | 3.02250i | −0.363256 | − | 0.104162i | ||||
\(843\) | −23.0603 | + | 39.9416i | −0.794239 | + | 1.37566i | ||||
\(844\) | 0.372006 | − | 3.53940i | 0.0128050 | − | 0.121831i | ||||
\(845\) | −48.1213 | + | 17.3239i | −1.65542 | + | 0.595962i | ||||
\(846\) | −1.18288 | − | 0.0827151i | −0.0406683 | − | 0.00284380i | ||||
\(847\) | 12.0123 | + | 5.34823i | 0.412748 | + | 0.183767i | ||||
\(848\) | −22.1712 | − | 4.71264i | −0.761364 | − | 0.161833i | ||||
\(849\) | 24.9791 | − | 9.09165i | 0.857281 | − | 0.312025i | ||||
\(850\) | 9.19331 | − | 0.578128i | 0.315328 | − | 0.0198296i | ||||
\(851\) | −3.44108 | + | 19.5153i | −0.117959 | + | 0.668977i | ||||
\(852\) | 0.578146 | − | 16.5559i | 0.0198069 | − | 0.567197i | ||||
\(853\) | −3.73327 | + | 14.9733i | −0.127825 | + | 0.512677i | 0.871910 | + | 0.489665i | \(0.162881\pi\) |
−0.999735 | + | 0.0230116i | \(0.992675\pi\) | |||||||
\(854\) | −4.14162 | + | 3.00907i | −0.141723 | + | 0.102968i | ||||
\(855\) | −25.6895 | − | 8.43790i | −0.878563 | − | 0.288570i | ||||
\(856\) | 7.29416 | + | 5.29952i | 0.249309 | + | 0.181134i | ||||
\(857\) | −23.1306 | + | 19.4089i | −0.790125 | + | 0.662994i | −0.945776 | − | 0.324818i | \(-0.894697\pi\) |
0.155651 | + | 0.987812i | \(0.450252\pi\) | |||||||
\(858\) | 6.93457 | + | 10.2809i | 0.236742 | + | 0.350985i | ||||
\(859\) | −27.5805 | − | 14.6648i | −0.941034 | − | 0.500357i | −0.0732584 | − | 0.997313i | \(-0.523340\pi\) |
−0.867776 | + | 0.496956i | \(0.834451\pi\) | |||||||
\(860\) | −6.61128 | + | 8.40119i | −0.225443 | + | 0.286478i | ||||
\(861\) | 14.9040 | + | 19.0763i | 0.507928 | + | 0.650118i | ||||
\(862\) | −6.08520 | − | 6.75830i | −0.207263 | − | 0.230189i | ||||
\(863\) | −48.1783 | + | 10.2406i | −1.64001 | + | 0.348594i | −0.933352 | − | 0.358963i | \(-0.883130\pi\) |
−0.706656 | + | 0.707558i | \(0.749797\pi\) | |||||||
\(864\) | 0.732674 | − | 1.81343i | 0.0249261 | − | 0.0616942i | ||||
\(865\) | −39.8182 | − | 11.5689i | −1.35386 | − | 0.393354i | ||||
\(866\) | 6.58255 | − | 1.39916i | 0.223684 | − | 0.0475455i | ||||
\(867\) | 31.7196 | − | 14.1225i | 1.07726 | − | 0.479625i | ||||
\(868\) | −4.71301 | + | 1.71539i | −0.159970 | + | 0.0582243i | ||||
\(869\) | 5.19505 | − | 10.6514i | 0.176230 | − | 0.361325i | ||||
\(870\) | −0.562339 | − | 0.0413038i | −0.0190651 | − | 0.00140033i | ||||
\(871\) | −30.5124 | + | 8.74928i | −1.03387 | + | 0.296458i | ||||
\(872\) | −3.75048 | + | 15.0424i | −0.127007 | + | 0.509399i | ||||
\(873\) | 6.49753 | + | 19.9973i | 0.219908 | + | 0.676807i | ||||
\(874\) | 0.0110283 | + | 35.6898i | 0.000373039 | + | 1.20722i | ||||
\(875\) | −4.20955 | − | 13.4347i | −0.142309 | − | 0.454176i | ||||
\(876\) | −3.44929 | + | 2.89430i | −0.116541 | + | 0.0977894i | ||||
\(877\) | −0.943856 | + | 27.0285i | −0.0318718 | + | 0.912688i | 0.873183 | + | 0.487393i | \(0.162052\pi\) |
−0.905055 | + | 0.425295i | \(0.860170\pi\) | |||||||
\(878\) | −6.72017 | − | 13.7784i | −0.226795 | − | 0.464998i | ||||
\(879\) | −3.06557 | − | 2.96038i | −0.103399 | − | 0.0998513i | ||||
\(880\) | −1.60899 | − | 3.32847i | −0.0542389 | − | 0.112203i | ||||
\(881\) | 29.2007 | − | 13.0010i | 0.983796 | − | 0.438014i | 0.149158 | − | 0.988813i | \(-0.452344\pi\) |
0.834638 | + | 0.550799i | \(0.185677\pi\) | |||||||
\(882\) | −8.66354 | − | 15.0057i | −0.291717 | − | 0.505268i | ||||
\(883\) | 9.38256 | + | 37.6314i | 0.315748 | + | 1.26640i | 0.893084 | + | 0.449891i | \(0.148537\pi\) |
−0.577335 | + | 0.816507i | \(0.695907\pi\) | |||||||
\(884\) | −5.42919 | + | 3.39254i | −0.182603 | + | 0.114103i | ||||
\(885\) | 20.1184 | + | 14.7249i | 0.676273 | + | 0.494972i | ||||
\(886\) | 30.6394 | + | 6.51261i | 1.02935 | + | 0.218796i | ||||
\(887\) | −1.20720 | − | 34.5696i | −0.0405338 | − | 1.16074i | −0.833873 | − | 0.551956i | \(-0.813882\pi\) |
0.793340 | − | 0.608779i | \(-0.208341\pi\) | |||||||
\(888\) | 20.4567 | + | 2.87500i | 0.686482 | + | 0.0964788i | ||||
\(889\) | 22.4996 | − | 3.16211i | 0.754612 | − | 0.106054i | ||||
\(890\) | −9.57871 | − | 23.9495i | −0.321079 | − | 0.802788i | ||||
\(891\) | 2.69355 | + | 6.66678i | 0.0902374 | + | 0.223345i | ||||
\(892\) | 13.4466 | + | 9.76953i | 0.450226 | + | 0.327108i | ||||
\(893\) | −0.552860 | − | 1.51751i | −0.0185007 | − | 0.0507815i | ||||
\(894\) | −15.5547 | − | 11.3011i | −0.520227 | − | 0.377967i | ||||
\(895\) | −54.4763 | − | 7.85096i | −1.82094 | − | 0.262428i | ||||
\(896\) | 3.26089 | − | 0.935046i | 0.108939 | − | 0.0312377i | ||||
\(897\) | −44.7812 | − | 91.8150i | −1.49520 | − | 3.06561i | ||||
\(898\) | 39.5444 | − | 21.0261i | 1.31961 | − | 0.701651i | ||||
\(899\) | −0.508705 | + | 0.185153i | −0.0169663 | + | 0.00617521i | ||||
\(900\) | −9.28360 | − | 0.0650803i | −0.309453 | − | 0.00216934i | ||||
\(901\) | 8.17713 | + | 14.1632i | 0.272420 | + | 0.471845i | ||||
\(902\) | −2.58232 | + | 6.39147i | −0.0859819 | + | 0.212813i | ||||
\(903\) | 21.5625 | + | 1.50780i | 0.717555 | + | 0.0501763i | ||||
\(904\) | 36.0173 | + | 16.0359i | 1.19792 | + | 0.533348i | ||||
\(905\) | 17.4990 | + | 30.5561i | 0.581688 | + | 1.01572i | ||||
\(906\) | 2.26445 | + | 0.649320i | 0.0752312 | + | 0.0215722i | ||||
\(907\) | 2.60821 | + | 14.7919i | 0.0866042 | + | 0.491157i | 0.996999 | + | 0.0774158i | \(0.0246669\pi\) |
−0.910395 | + | 0.413741i | \(0.864222\pi\) | |||||||
\(908\) | 6.58686 | − | 6.36085i | 0.218593 | − | 0.211092i | ||||
\(909\) | 21.8970 | − | 28.0269i | 0.726279 | − | 0.929595i | ||||
\(910\) | −13.9469 | − | 13.5631i | −0.462334 | − | 0.449613i | ||||
\(911\) | −2.04276 | − | 6.28698i | −0.0676797 | − | 0.208297i | 0.911497 | − | 0.411307i | \(-0.134928\pi\) |
−0.979177 | + | 0.203010i | \(0.934928\pi\) | |||||||
\(912\) | 23.1700 | − | 0.816283i | 0.767236 | − | 0.0270298i | ||||
\(913\) | 0.0215641 | − | 0.0663673i | 0.000713666 | − | 0.00219644i | ||||
\(914\) | 30.3176 | + | 18.9446i | 1.00282 | + | 0.626630i | ||||
\(915\) | −14.5486 | + | 12.1211i | −0.480961 | + | 0.400710i | ||||
\(916\) | 3.88363 | + | 2.06496i | 0.128319 | + | 0.0682283i | ||||
\(917\) | −2.32705 | + | 4.77117i | −0.0768461 | + | 0.157558i | ||||
\(918\) | 0.939229 | − | 0.341851i | 0.0309992 | − | 0.0112828i | ||||
\(919\) | 13.6412 | − | 6.07345i | 0.449982 | − | 0.200345i | −0.169218 | − | 0.985579i | \(-0.554124\pi\) |
0.619199 | + | 0.785234i | \(0.287457\pi\) | |||||||
\(920\) | 14.9389 | + | 46.5314i | 0.492519 | + | 1.53409i | ||||
\(921\) | 68.7526 | + | 4.80765i | 2.26548 | + | 0.158417i | ||||
\(922\) | 11.0419 | + | 0.772128i | 0.363647 | + | 0.0254287i | ||||
\(923\) | 41.2807 | − | 45.8469i | 1.35877 | − | 1.50907i | ||||
\(924\) | 0.756364 | − | 1.31006i | 0.0248825 | − | 0.0430978i | ||||
\(925\) | 3.28207 | + | 13.5682i | 0.107914 | + | 0.446118i | ||||
\(926\) | 5.99883 | + | 34.0210i | 0.197134 | + | 1.11800i | ||||
\(927\) | −33.9324 | + | 4.76888i | −1.11449 | + | 0.156631i | ||||
\(928\) | −0.315242 | + | 0.0903941i | −0.0103483 | + | 0.00296733i | ||||
\(929\) | −0.763069 | + | 3.06050i | −0.0250355 | + | 0.100412i | −0.981514 | − | 0.191392i | \(-0.938700\pi\) |
0.956478 | + | 0.291804i | \(0.0942554\pi\) | |||||||
\(930\) | 33.7493 | − | 14.8846i | 1.10668 | − | 0.488086i | ||||
\(931\) | 13.8661 | − | 19.0974i | 0.454442 | − | 0.625893i | ||||
\(932\) | −17.3431 | −0.568093 | ||||||||
\(933\) | −46.7257 | + | 3.26738i | −1.52973 | + | 0.106969i | ||||
\(934\) | 25.3710 | − | 32.4734i | 0.830165 | − | 1.06256i | ||||
\(935\) | −1.00789 | + | 2.46967i | −0.0329617 | + | 0.0807667i | ||||
\(936\) | −45.1747 | + | 24.0198i | −1.47658 | + | 0.785112i | ||||
\(937\) | 1.16132 | + | 33.2559i | 0.0379388 | + | 1.08642i | 0.857839 | + | 0.513918i | \(0.171806\pi\) |
−0.819900 | + | 0.572506i | \(0.805971\pi\) | |||||||
\(938\) | −5.15128 | − | 5.72107i | −0.168195 | − | 0.186800i | ||||
\(939\) | −32.6724 | + | 36.2864i | −1.06622 | + | 1.18416i | ||||
\(940\) | −0.339864 | − | 0.438163i | −0.0110851 | − | 0.0142913i | ||||
\(941\) | −0.0797256 | + | 0.0498181i | −0.00259898 | + | 0.00162402i | −0.531218 | − | 0.847235i | \(-0.678266\pi\) |
0.528619 | + | 0.848859i | \(0.322710\pi\) | |||||||
\(942\) | 2.63844 | − | 25.1031i | 0.0859649 | − | 0.817902i | ||||
\(943\) | 28.3923 | − | 49.1769i | 0.924581 | − | 1.60142i | ||||
\(944\) | −9.87253 | − | 2.83090i | −0.321323 | − | 0.0921380i | ||||
\(945\) | −0.849803 | − | 1.26946i | −0.0276441 | − | 0.0412955i | ||||
\(946\) | 2.69819 | + | 5.53212i | 0.0877258 | + | 0.179865i | ||||
\(947\) | 24.1208 | − | 6.91652i | 0.783820 | − | 0.224757i | 0.140222 | − | 0.990120i | \(-0.455219\pi\) |
0.643598 | + | 0.765363i | \(0.277441\pi\) | |||||||
\(948\) | 21.6393 | + | 13.5217i | 0.702810 | + | 0.439165i | ||||
\(949\) | −16.7685 | −0.544329 | ||||||||
\(950\) | 10.0718 | + | 23.0357i | 0.326771 | + | 0.747378i | ||||
\(951\) | 59.3701 | 1.92521 | ||||||||
\(952\) | −5.25152 | − | 3.28152i | −0.170203 | − | 0.106355i | ||||
\(953\) | 38.2850 | − | 10.9780i | 1.24017 | − | 0.355614i | 0.409466 | − | 0.912325i | \(-0.365715\pi\) |
0.830706 | + | 0.556712i | \(0.187937\pi\) | |||||||
\(954\) | 14.3661 | + | 29.4548i | 0.465119 | + | 0.953635i | ||||
\(955\) | 1.64630 | − | 42.8383i | 0.0532730 | − | 1.38622i | ||||
\(956\) | 4.70891 | + | 1.35026i | 0.152297 | + | 0.0436705i | ||||
\(957\) | 0.0816392 | − | 0.141403i | 0.00263902 | − | 0.00457092i | ||||
\(958\) | −0.299266 | + | 2.84733i | −0.00966885 | + | 0.0919929i | ||||
\(959\) | 2.70208 | − | 1.68845i | 0.0872548 | − | 0.0545229i | ||||
\(960\) | 43.4047 | − | 15.6259i | 1.40088 | − | 0.504325i | ||||
\(961\) | 2.95343 | − | 3.28012i | 0.0952720 | − | 0.105810i | ||||
\(962\) | 12.9072 | + | 14.3349i | 0.416145 | + | 0.462176i | ||||
\(963\) | −0.283492 | − | 8.11815i | −0.00913540 | − | 0.261604i | ||||
\(964\) | 9.57978 | − | 5.09366i | 0.308544 | − | 0.164056i | ||||
\(965\) | 28.8699 | + | 2.12049i | 0.929356 | + | 0.0682611i | ||||
\(966\) | 15.2534 | − | 19.5234i | 0.490769 | − | 0.628155i | ||||
\(967\) | −25.2659 | + | 1.76676i | −0.812497 | + | 0.0568153i | −0.469958 | − | 0.882689i | \(-0.655731\pi\) |
−0.342538 | + | 0.939504i | \(0.611287\pi\) | |||||||
\(968\) | −32.1532 | −1.03344 | ||||||||
\(969\) | −11.6239 | − | 12.0294i | −0.373413 | − | 0.386441i | ||||
\(970\) | 9.83438 | − | 16.8966i | 0.315763 | − | 0.542517i | ||||
\(971\) | 5.09918 | − | 20.4517i | 0.163641 | − | 0.656327i | −0.831297 | − | 0.555829i | \(-0.812401\pi\) |
0.994937 | − | 0.100498i | \(-0.0320435\pi\) | |||||||
\(972\) | −13.8350 | + | 3.96713i | −0.443759 | + | 0.127246i | ||||
\(973\) | 25.8572 | − | 3.63399i | 0.828943 | − | 0.116500i | ||||
\(974\) | −1.57385 | − | 8.92577i | −0.0504296 | − | 0.286000i | ||||
\(975\) | −54.7998 | − | 46.6410i | −1.75500 | − | 1.49371i | ||||
\(976\) | 3.90035 | − | 6.75561i | 0.124847 | − | 0.216242i | ||||
\(977\) | 1.70364 | − | 1.89208i | 0.0545042 | − | 0.0605331i | −0.715276 | − | 0.698842i | \(-0.753699\pi\) |
0.769780 | + | 0.638309i | \(0.220366\pi\) | |||||||
\(978\) | 18.3945 | + | 1.28627i | 0.588191 | + | 0.0411303i | ||||
\(979\) | 7.45111 | + | 0.521032i | 0.238138 | + | 0.0166523i | ||||
\(980\) | 2.53095 | − | 7.69755i | 0.0808482 | − | 0.245889i | ||||
\(981\) | 12.7599 | − | 5.68106i | 0.407391 | − | 0.181382i | ||||
\(982\) | 34.1313 | − | 12.4228i | 1.08917 | − | 0.396426i | ||||
\(983\) | −22.5724 | + | 46.2803i | −0.719948 | + | 1.47611i | 0.152963 | + | 0.988232i | \(0.451119\pi\) |
−0.872911 | + | 0.487880i | \(0.837770\pi\) | |||||||
\(984\) | −52.2666 | − | 27.7907i | −1.66620 | − | 0.885934i | ||||
\(985\) | 12.7177 | + | 31.7978i | 0.405219 | + | 1.01316i | ||||
\(986\) | −0.142126 | − | 0.0888101i | −0.00452621 | − | 0.00282829i | ||||
\(987\) | −0.346463 | + | 1.06630i | −0.0110280 | + | 0.0339408i | ||||
\(988\) | −13.7724 | − | 10.7534i | −0.438160 | − | 0.342110i | ||||
\(989\) | −15.6679 | − | 48.2207i | −0.498209 | − | 1.53333i | ||||
\(990\) | −2.35996 | + | 4.79590i | −0.0750045 | + | 0.152424i | ||||
\(991\) | −21.5546 | + | 27.5886i | −0.684703 | + | 0.876380i | −0.997295 | − | 0.0735078i | \(-0.976581\pi\) |
0.312592 | + | 0.949888i | \(0.398803\pi\) | |||||||
\(992\) | 15.4322 | − | 14.9027i | 0.489974 | − | 0.473162i | ||||
\(993\) | 3.24055 | + | 18.3781i | 0.102836 | + | 0.583210i | ||||
\(994\) | 14.3830 | + | 4.12425i | 0.456200 | + | 0.130813i | ||||
\(995\) | −1.21756 | − | 0.547215i | −0.0385993 | − | 0.0173479i | ||||
\(996\) | 0.137263 | + | 0.0611133i | 0.00434934 | + | 0.00193645i | ||||
\(997\) | −31.2615 | − | 2.18601i | −0.990061 | − | 0.0692318i | −0.434469 | − | 0.900687i | \(-0.643064\pi\) |
−0.555592 | + | 0.831455i | \(0.687508\pi\) | |||||||
\(998\) | −9.74175 | + | 24.1117i | −0.308370 | + | 0.763242i | ||||
\(999\) | 0.757349 | + | 1.31177i | 0.0239614 | + | 0.0415024i |
(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 | 475.2.bc.a.6.15 | ✓ | 1152 | |
19.16 | even | 9 | inner | 475.2.bc.a.206.34 | yes | 1152 | |
25.21 | even | 5 | inner | 475.2.bc.a.196.34 | yes | 1152 | |
475.396 | even | 45 | inner | 475.2.bc.a.396.15 | yes | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.6.15 | ✓ | 1152 | 1.1 | even | 1 | trivial | |
475.2.bc.a.196.34 | yes | 1152 | 25.21 | even | 5 | inner | |
475.2.bc.a.206.34 | yes | 1152 | 19.16 | even | 9 | inner | |
475.2.bc.a.396.15 | yes | 1152 | 475.396 | even | 45 | inner |