Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 388.11 | ||
Character | \(\chi\) | \(=\) | 483.388 |
Dual form | 483.2.bf.a.61.11 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03420 | + | 0.813301i | −0.731287 | + | 0.575091i | −0.912853 | − | 0.408288i | \(-0.866126\pi\) |
0.181566 | + | 0.983379i | \(0.441883\pi\) | |||||||
\(3\) | 0.814576 | − | 0.580057i | 0.470296 | − | 0.334896i | ||||
\(4\) | −0.0634142 | + | 0.261397i | −0.0317071 | + | 0.130698i | ||||
\(5\) | −0.255961 | − | 0.0493325i | −0.114469 | − | 0.0220621i | 0.131695 | − | 0.991290i | \(-0.457958\pi\) |
−0.246164 | + | 0.969228i | \(0.579170\pi\) | |||||||
\(6\) | −0.370671 | + | 1.26239i | −0.151326 | + | 0.515368i | ||||
\(7\) | −2.61931 | − | 0.373143i | −0.990005 | − | 0.141035i | ||||
\(8\) | −1.24012 | − | 2.71548i | −0.438449 | − | 0.960069i | ||||
\(9\) | 0.327068 | − | 0.945001i | 0.109023 | − | 0.315000i | ||||
\(10\) | 0.304836 | − | 0.157154i | 0.0963977 | − | 0.0496964i | ||||
\(11\) | 1.25293 | − | 1.59323i | 0.377772 | − | 0.480376i | −0.559572 | − | 0.828782i | \(-0.689034\pi\) |
0.937344 | + | 0.348406i | \(0.113277\pi\) | |||||||
\(12\) | 0.0999694 | + | 0.249711i | 0.0288587 | + | 0.0720855i | ||||
\(13\) | 1.10216 | − | 1.71500i | 0.305686 | − | 0.475656i | −0.654093 | − | 0.756414i | \(-0.726950\pi\) |
0.959779 | + | 0.280758i | \(0.0905859\pi\) | |||||||
\(14\) | 3.01235 | − | 1.74438i | 0.805086 | − | 0.466206i | ||||
\(15\) | −0.237115 | + | 0.108287i | −0.0612229 | + | 0.0279596i | ||||
\(16\) | 3.01288 | + | 1.55325i | 0.753220 | + | 0.388312i | ||||
\(17\) | 5.65102 | − | 5.38824i | 1.37057 | − | 1.30684i | 0.463361 | − | 0.886170i | \(-0.346643\pi\) |
0.907214 | − | 0.420670i | \(-0.138205\pi\) | |||||||
\(18\) | 0.430318 | + | 1.24332i | 0.101427 | + | 0.293054i | ||||
\(19\) | 0.566098 | + | 0.539774i | 0.129872 | + | 0.123833i | 0.752232 | − | 0.658899i | \(-0.228977\pi\) |
−0.622360 | + | 0.782731i | \(0.713826\pi\) | |||||||
\(20\) | 0.0291269 | − | 0.0637790i | 0.00651297 | − | 0.0142614i | ||||
\(21\) | −2.35007 | + | 1.21539i | −0.512827 | + | 0.265221i | ||||
\(22\) | 2.66672i | 0.568546i | ||||||||
\(23\) | 4.54762 | + | 1.52286i | 0.948245 | + | 0.317539i | ||||
\(24\) | −2.58531 | − | 1.49263i | −0.527724 | − | 0.304681i | ||||
\(25\) | −4.57876 | − | 1.83306i | −0.915751 | − | 0.366612i | ||||
\(26\) | 0.254958 | + | 2.67004i | 0.0500014 | + | 0.523638i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 0.263640 | − | 0.661016i | 0.0498232 | − | 0.124920i | ||||
\(29\) | 2.59510 | + | 0.761990i | 0.481898 | + | 0.141498i | 0.513654 | − | 0.857998i | \(-0.328292\pi\) |
−0.0317556 | + | 0.999496i | \(0.510110\pi\) | |||||||
\(30\) | 0.157154 | − | 0.304836i | 0.0286923 | − | 0.0556552i | ||||
\(31\) | 0.0699355 | − | 0.732398i | 0.0125608 | − | 0.131543i | −0.987016 | − | 0.160620i | \(-0.948651\pi\) |
0.999577 | + | 0.0290771i | \(0.00925682\pi\) | |||||||
\(32\) | 1.48345 | − | 0.285912i | 0.262240 | − | 0.0505426i | ||||
\(33\) | 0.0964423 | − | 2.02457i | 0.0167885 | − | 0.352433i | ||||
\(34\) | −1.46201 | + | 10.1685i | −0.250732 | + | 1.74388i | ||||
\(35\) | 0.652032 | + | 0.224727i | 0.110214 | + | 0.0379858i | ||||
\(36\) | 0.226279 | + | 0.145421i | 0.0377132 | + | 0.0242368i | ||||
\(37\) | −9.20070 | − | 3.18439i | −1.51259 | − | 0.523511i | −0.560187 | − | 0.828366i | \(-0.689271\pi\) |
−0.952399 | + | 0.304855i | \(0.901392\pi\) | |||||||
\(38\) | −1.02446 | − | 0.0978236i | −0.166189 | − | 0.0158691i | ||||
\(39\) | −0.0970018 | − | 2.03632i | −0.0155327 | − | 0.326072i | ||||
\(40\) | 0.183461 | + | 0.756237i | 0.0290077 | + | 0.119571i | ||||
\(41\) | −5.57319 | − | 4.82920i | −0.870387 | − | 0.754194i | 0.100195 | − | 0.994968i | \(-0.468053\pi\) |
−0.970581 | + | 0.240773i | \(0.922599\pi\) | |||||||
\(42\) | 1.44195 | − | 3.16827i | 0.222498 | − | 0.488874i | ||||
\(43\) | 10.1601 | + | 4.63996i | 1.54940 | + | 0.707588i | 0.992415 | − | 0.122934i | \(-0.0392304\pi\) |
0.556986 | + | 0.830522i | \(0.311958\pi\) | |||||||
\(44\) | 0.337011 | + | 0.428544i | 0.0508063 | + | 0.0646055i | ||||
\(45\) | −0.130336 | + | 0.225748i | −0.0194293 | + | 0.0336526i | ||||
\(46\) | −5.94168 | + | 2.12365i | −0.876053 | + | 0.313115i | ||||
\(47\) | 8.06516 | − | 4.65642i | 1.17642 | − | 0.679209i | 0.221240 | − | 0.975219i | \(-0.428990\pi\) |
0.955185 | + | 0.296010i | \(0.0956562\pi\) | |||||||
\(48\) | 3.35519 | − | 0.482404i | 0.484280 | − | 0.0696290i | ||||
\(49\) | 6.72153 | + | 1.95475i | 0.960218 | + | 0.279250i | ||||
\(50\) | 6.22616 | − | 1.82817i | 0.880512 | − | 0.258542i | ||||
\(51\) | 1.47770 | − | 7.66705i | 0.206920 | − | 1.07360i | ||||
\(52\) | 0.378403 | + | 0.396858i | 0.0524751 | + | 0.0550343i | ||||
\(53\) | −3.40335 | + | 0.162122i | −0.467487 | + | 0.0222691i | −0.280004 | − | 0.959999i | \(-0.590336\pi\) |
−0.187483 | + | 0.982268i | \(0.560033\pi\) | |||||||
\(54\) | 1.07172 | + | 0.763171i | 0.145843 | + | 0.103854i | ||||
\(55\) | −0.399298 | + | 0.345994i | −0.0538414 | + | 0.0466538i | ||||
\(56\) | 2.23499 | + | 7.57543i | 0.298663 | + | 1.01231i | ||||
\(57\) | 0.774230 | + | 0.111317i | 0.102549 | + | 0.0147444i | ||||
\(58\) | −3.30357 | + | 1.32255i | −0.433780 | + | 0.173659i | ||||
\(59\) | −6.10908 | − | 11.8500i | −0.795334 | − | 1.54273i | −0.839280 | − | 0.543699i | \(-0.817023\pi\) |
0.0439457 | − | 0.999034i | \(-0.486007\pi\) | |||||||
\(60\) | −0.0132694 | − | 0.0688481i | −0.00171307 | − | 0.00888826i | ||||
\(61\) | −5.30028 | + | 7.44320i | −0.678631 | + | 0.953004i | 0.321351 | + | 0.946960i | \(0.395863\pi\) |
−0.999982 | + | 0.00604360i | \(0.998076\pi\) | |||||||
\(62\) | 0.523333 | + | 0.814322i | 0.0664634 | + | 0.103419i | ||||
\(63\) | −1.20931 | + | 2.35320i | −0.152359 | + | 0.296476i | ||||
\(64\) | −5.74120 | + | 6.62570i | −0.717650 | + | 0.828212i | ||||
\(65\) | −0.366717 | + | 0.384601i | −0.0454856 | + | 0.0477039i | ||||
\(66\) | 1.54685 | + | 2.17224i | 0.190404 | + | 0.267385i | ||||
\(67\) | 4.50035 | − | 11.2413i | 0.549806 | − | 1.37335i | −0.349874 | − | 0.936797i | \(-0.613775\pi\) |
0.899679 | − | 0.436551i | \(-0.143800\pi\) | |||||||
\(68\) | 1.05011 | + | 1.81885i | 0.127345 | + | 0.220568i | ||||
\(69\) | 4.58773 | − | 1.39739i | 0.552298 | − | 0.168226i | ||||
\(70\) | −0.857100 | + | 0.297887i | −0.102443 | + | 0.0356043i | ||||
\(71\) | −0.470637 | − | 3.27335i | −0.0558543 | − | 0.388475i | −0.998503 | − | 0.0546899i | \(-0.982583\pi\) |
0.942649 | − | 0.333785i | \(-0.108326\pi\) | |||||||
\(72\) | −2.97174 | + | 0.283767i | −0.350223 | + | 0.0334422i | ||||
\(73\) | 7.87904 | + | 1.91143i | 0.922172 | + | 0.223716i | 0.668619 | − | 0.743605i | \(-0.266886\pi\) |
0.253553 | + | 0.967322i | \(0.418401\pi\) | |||||||
\(74\) | 12.1052 | − | 4.18965i | 1.40720 | − | 0.487037i | ||||
\(75\) | −4.79302 | + | 1.16277i | −0.553451 | + | 0.134266i | ||||
\(76\) | −0.176994 | + | 0.113747i | −0.0203026 | + | 0.0130477i | ||||
\(77\) | −3.87630 | + | 3.70563i | −0.441746 | + | 0.422296i | ||||
\(78\) | 1.75646 | + | 2.02706i | 0.198880 | + | 0.229519i | ||||
\(79\) | −9.01330 | − | 0.429357i | −1.01408 | − | 0.0483064i | −0.466042 | − | 0.884763i | \(-0.654320\pi\) |
−0.548034 | + | 0.836456i | \(0.684624\pi\) | |||||||
\(80\) | −0.694554 | − | 0.546203i | −0.0776535 | − | 0.0610674i | ||||
\(81\) | −0.786053 | − | 0.618159i | −0.0873392 | − | 0.0686843i | ||||
\(82\) | 9.69137 | + | 0.461657i | 1.07023 | + | 0.0509815i | ||||
\(83\) | 10.8506 | + | 12.5222i | 1.19101 | + | 1.37450i | 0.909905 | + | 0.414817i | \(0.136155\pi\) |
0.281102 | + | 0.959678i | \(0.409300\pi\) | |||||||
\(84\) | −0.168672 | − | 0.691373i | −0.0184037 | − | 0.0754350i | ||||
\(85\) | −1.71226 | + | 1.10040i | −0.185720 | + | 0.119355i | ||||
\(86\) | −14.2812 | + | 3.46459i | −1.53998 | + | 0.373596i | ||||
\(87\) | 2.55590 | − | 0.884607i | 0.274022 | − | 0.0948398i | ||||
\(88\) | −5.88016 | − | 1.42651i | −0.626828 | − | 0.152067i | ||||
\(89\) | 5.44048 | − | 0.519503i | 0.576689 | − | 0.0550672i | 0.197364 | − | 0.980330i | \(-0.436762\pi\) |
0.379326 | + | 0.925263i | \(0.376156\pi\) | |||||||
\(90\) | −0.0488085 | − | 0.339470i | −0.00514487 | − | 0.0357833i | ||||
\(91\) | −3.52685 | + | 4.08085i | −0.369714 | + | 0.427789i | ||||
\(92\) | −0.686455 | + | 1.09216i | −0.0715679 | + | 0.113866i | ||||
\(93\) | −0.367865 | − | 0.637160i | −0.0381458 | − | 0.0660705i | ||||
\(94\) | −4.55389 | + | 11.3751i | −0.469698 | + | 1.17325i | ||||
\(95\) | −0.118271 | − | 0.166088i | −0.0121343 | − | 0.0170403i | ||||
\(96\) | 1.04254 | − | 1.09338i | 0.106404 | − | 0.111593i | ||||
\(97\) | −8.55002 | + | 9.86725i | −0.868123 | + | 1.00187i | 0.131821 | + | 0.991274i | \(0.457918\pi\) |
−0.999944 | + | 0.0105935i | \(0.996628\pi\) | |||||||
\(98\) | −8.54118 | + | 3.44503i | −0.862790 | + | 0.348000i | ||||
\(99\) | −1.09581 | − | 1.70511i | −0.110133 | − | 0.171370i | ||||
\(100\) | 0.769514 | − | 1.08063i | 0.0769514 | − | 0.108063i | ||||
\(101\) | −0.712592 | − | 3.69728i | −0.0709055 | − | 0.367893i | 0.929093 | − | 0.369847i | \(-0.120590\pi\) |
−0.999998 | + | 0.00195446i | \(0.999378\pi\) | |||||||
\(102\) | 4.70738 | + | 9.13105i | 0.466100 | + | 0.904108i | ||||
\(103\) | 4.34796 | − | 1.74066i | 0.428417 | − | 0.171512i | −0.147425 | − | 0.989073i | \(-0.547099\pi\) |
0.575842 | + | 0.817561i | \(0.304674\pi\) | |||||||
\(104\) | −6.02388 | − | 0.866103i | −0.590690 | − | 0.0849284i | ||||
\(105\) | 0.661484 | − | 0.195159i | 0.0645542 | − | 0.0190455i | ||||
\(106\) | 3.38788 | − | 2.93562i | 0.329060 | − | 0.285132i | ||||
\(107\) | −14.1694 | − | 10.0900i | −1.36981 | − | 0.975437i | −0.998906 | − | 0.0467660i | \(-0.985108\pi\) |
−0.370904 | − | 0.928671i | \(-0.620952\pi\) | |||||||
\(108\) | 0.268674 | − | 0.0127985i | 0.0258532 | − | 0.00123154i | ||||
\(109\) | −10.2171 | − | 10.7154i | −0.978623 | − | 1.02635i | −0.999647 | − | 0.0265708i | \(-0.991541\pi\) |
0.0210244 | − | 0.999779i | \(-0.493307\pi\) | |||||||
\(110\) | 0.131556 | − | 0.682576i | 0.0125433 | − | 0.0650810i | ||||
\(111\) | −9.34180 | + | 2.74300i | −0.886684 | + | 0.260354i | ||||
\(112\) | −7.31207 | − | 5.19266i | −0.690926 | − | 0.490661i | ||||
\(113\) | −7.27588 | + | 1.04611i | −0.684457 | + | 0.0984101i | −0.475767 | − | 0.879572i | \(-0.657829\pi\) |
−0.208691 | + | 0.977982i | \(0.566920\pi\) | |||||||
\(114\) | −0.891240 | + | 0.514558i | −0.0834723 | + | 0.0481927i | ||||
\(115\) | −1.08889 | − | 0.614139i | −0.101539 | − | 0.0572688i | ||||
\(116\) | −0.363748 | + | 0.630030i | −0.0337732 | + | 0.0584968i | ||||
\(117\) | −1.26020 | − | 1.60247i | −0.116505 | − | 0.148148i | ||||
\(118\) | 15.9556 | + | 7.28667i | 1.46883 | + | 0.670792i | ||||
\(119\) | −16.8123 | + | 12.0048i | −1.54118 | + | 1.10048i | ||||
\(120\) | 0.588103 | + | 0.509594i | 0.0536862 | + | 0.0465194i | ||||
\(121\) | 1.62480 | + | 6.69753i | 0.147709 | + | 0.608866i | ||||
\(122\) | −0.572033 | − | 12.0085i | −0.0517894 | − | 1.08719i | ||||
\(123\) | −7.34100 | − | 0.700981i | −0.661916 | − | 0.0632053i | ||||
\(124\) | 0.187012 | + | 0.0647253i | 0.0167941 | + | 0.00581251i | ||||
\(125\) | 2.17801 | + | 1.39972i | 0.194807 | + | 0.125195i | ||||
\(126\) | −0.663197 | − | 3.41721i | −0.0590823 | − | 0.304429i | ||||
\(127\) | −0.138701 | + | 0.964684i | −0.0123077 | + | 0.0856018i | −0.995049 | − | 0.0993808i | \(-0.968314\pi\) |
0.982742 | + | 0.184983i | \(0.0592229\pi\) | |||||||
\(128\) | 0.405072 | − | 8.50352i | 0.0358037 | − | 0.751612i | ||||
\(129\) | 10.9676 | − | 2.11383i | 0.965645 | − | 0.186113i | ||||
\(130\) | 0.0664603 | − | 0.696004i | 0.00582896 | − | 0.0610436i | ||||
\(131\) | −3.20394 | + | 6.21477i | −0.279929 | + | 0.542987i | −0.986321 | − | 0.164834i | \(-0.947291\pi\) |
0.706392 | + | 0.707821i | \(0.250322\pi\) | |||||||
\(132\) | 0.523101 | + | 0.153596i | 0.0455301 | + | 0.0133689i | ||||
\(133\) | −1.28137 | − | 1.62507i | −0.111109 | − | 0.140911i | ||||
\(134\) | 4.48834 | + | 15.2859i | 0.387734 | + | 1.32050i | ||||
\(135\) | 0.0247784 | + | 0.259491i | 0.00213259 | + | 0.0223335i | ||||
\(136\) | −21.6396 | − | 8.66320i | −1.85558 | − | 0.742863i | ||||
\(137\) | −12.3436 | − | 7.12656i | −1.05458 | − | 0.608863i | −0.130653 | − | 0.991428i | \(-0.541708\pi\) |
−0.923929 | + | 0.382565i | \(0.875041\pi\) | |||||||
\(138\) | −3.60812 | + | 5.17639i | −0.307143 | + | 0.440643i | ||||
\(139\) | − | 1.23748i | − | 0.104962i | −0.998622 | − | 0.0524810i | \(-0.983287\pi\) | ||
0.998622 | − | 0.0524810i | \(-0.0167129\pi\) | |||||||
\(140\) | −0.100091 | + | 0.156188i | −0.00845923 | + | 0.0132003i | ||||
\(141\) | 3.86870 | − | 8.47126i | 0.325803 | − | 0.713409i | ||||
\(142\) | 3.14895 | + | 3.00252i | 0.264254 | + | 0.251966i | ||||
\(143\) | −1.35145 | − | 3.90477i | −0.113014 | − | 0.326533i | ||||
\(144\) | 2.45324 | − | 2.33916i | 0.204436 | − | 0.194930i | ||||
\(145\) | −0.626654 | − | 0.323062i | −0.0520408 | − | 0.0268289i | ||||
\(146\) | −9.70305 | + | 4.43123i | −0.803030 | + | 0.366731i | ||||
\(147\) | 6.60906 | − | 2.30658i | 0.545106 | − | 0.190243i | ||||
\(148\) | 1.41585 | − | 2.20310i | 0.116382 | − | 0.181094i | ||||
\(149\) | 5.49327 | + | 13.7215i | 0.450026 | + | 1.12411i | 0.963904 | + | 0.266248i | \(0.0857841\pi\) |
−0.513878 | + | 0.857863i | \(0.671792\pi\) | |||||||
\(150\) | 4.01124 | − | 5.10071i | 0.327517 | − | 0.416471i | ||||
\(151\) | 5.72988 | − | 2.95396i | 0.466291 | − | 0.240390i | −0.209036 | − | 0.977908i | \(-0.567033\pi\) |
0.675327 | + | 0.737518i | \(0.264002\pi\) | |||||||
\(152\) | 0.763717 | − | 2.20662i | 0.0619456 | − | 0.178980i | ||||
\(153\) | −3.24362 | − | 7.10254i | −0.262231 | − | 0.574206i | ||||
\(154\) | 0.995067 | − | 6.98495i | 0.0801848 | − | 0.562863i | ||||
\(155\) | −0.0540318 | + | 0.184015i | −0.00433994 | + | 0.0147805i | ||||
\(156\) | 0.538438 | + | 0.103775i | 0.0431096 | + | 0.00830869i | ||||
\(157\) | −3.74959 | + | 15.4560i | −0.299250 | + | 1.23352i | 0.601389 | + | 0.798956i | \(0.294614\pi\) |
−0.900639 | + | 0.434568i | \(0.856901\pi\) | |||||||
\(158\) | 9.67072 | − | 6.88649i | 0.769362 | − | 0.547860i | ||||
\(159\) | −2.67825 | + | 2.10620i | −0.212399 | + | 0.167032i | ||||
\(160\) | −0.393811 | −0.0311335 | ||||||||
\(161\) | −11.3434 | − | 5.68576i | −0.893983 | − | 0.448101i | ||||
\(162\) | 1.31568 | 0.103370 | ||||||||
\(163\) | 17.8895 | − | 14.0684i | 1.40121 | − | 1.10192i | 0.420317 | − | 0.907377i | \(-0.361919\pi\) |
0.980893 | − | 0.194547i | \(-0.0623236\pi\) | |||||||
\(164\) | 1.61576 | − | 1.15058i | 0.126169 | − | 0.0898449i | ||||
\(165\) | −0.124563 | + | 0.513454i | −0.00969719 | + | 0.0399724i | ||||
\(166\) | −21.4060 | − | 4.12567i | −1.66143 | − | 0.320214i | ||||
\(167\) | −2.54755 | + | 8.67614i | −0.197135 | + | 0.671380i | 0.800287 | + | 0.599617i | \(0.204681\pi\) |
−0.997422 | + | 0.0717626i | \(0.977138\pi\) | |||||||
\(168\) | 6.21475 | + | 4.87434i | 0.479478 | + | 0.376063i | ||||
\(169\) | 3.67393 | + | 8.04479i | 0.282610 | + | 0.618830i | ||||
\(170\) | 0.875853 | − | 2.53061i | 0.0671749 | − | 0.194089i | ||||
\(171\) | 0.695239 | − | 0.358421i | 0.0531663 | − | 0.0274091i | ||||
\(172\) | −1.85717 | + | 2.36158i | −0.141608 | + | 0.180069i | ||||
\(173\) | 6.45864 | + | 16.1329i | 0.491041 | + | 1.22656i | 0.942481 | + | 0.334260i | \(0.108486\pi\) |
−0.451440 | + | 0.892302i | \(0.649089\pi\) | |||||||
\(174\) | −1.92386 | + | 2.99358i | −0.145847 | + | 0.226942i | ||||
\(175\) | 11.3092 | + | 6.50987i | 0.854893 | + | 0.492100i | ||||
\(176\) | 6.24959 | − | 2.85409i | 0.471081 | − | 0.215135i | ||||
\(177\) | −11.8500 | − | 6.10908i | −0.890698 | − | 0.459186i | ||||
\(178\) | −5.20401 | + | 4.96201i | −0.390057 | + | 0.371919i | ||||
\(179\) | 4.72610 | + | 13.6552i | 0.353245 | + | 1.02064i | 0.971986 | + | 0.235040i | \(0.0755220\pi\) |
−0.618740 | + | 0.785595i | \(0.712357\pi\) | |||||||
\(180\) | −0.0507448 | − | 0.0483850i | −0.00378229 | − | 0.00360641i | ||||
\(181\) | −2.35681 | + | 5.16070i | −0.175181 | + | 0.383592i | −0.976772 | − | 0.214280i | \(-0.931260\pi\) |
0.801592 | + | 0.597872i | \(0.203987\pi\) | |||||||
\(182\) | 0.328494 | − | 7.08879i | 0.0243496 | − | 0.525456i | ||||
\(183\) | 9.13751i | 0.675464i | ||||||||
\(184\) | −1.50429 | − | 14.2375i | −0.110898 | − | 1.04961i | ||||
\(185\) | 2.19793 | + | 1.26897i | 0.161595 | + | 0.0932968i | ||||
\(186\) | 0.898648 | + | 0.359764i | 0.0658920 | + | 0.0263792i | ||||
\(187\) | −1.50437 | − | 15.7544i | −0.110010 | − | 1.15208i | ||||
\(188\) | 0.705729 | + | 2.40349i | 0.0514706 | + | 0.175293i | ||||
\(189\) | 0.379916 | + | 2.61833i | 0.0276348 | + | 0.190456i | ||||
\(190\) | 0.257395 | + | 0.0755779i | 0.0186734 | + | 0.00548300i | ||||
\(191\) | 0.181813 | − | 0.352668i | 0.0131555 | − | 0.0255181i | −0.882166 | − | 0.470938i | \(-0.843915\pi\) |
0.895322 | + | 0.445420i | \(0.146946\pi\) | |||||||
\(192\) | −0.833362 | + | 8.72736i | −0.0601427 | + | 0.629843i | ||||
\(193\) | −0.612952 | + | 0.118137i | −0.0441212 | + | 0.00850367i | −0.211264 | − | 0.977429i | \(-0.567758\pi\) |
0.167143 | + | 0.985933i | \(0.446546\pi\) | |||||||
\(194\) | 0.817356 | − | 17.1584i | 0.0586827 | − | 1.23190i | ||||
\(195\) | −0.0756279 | + | 0.526003i | −0.00541582 | + | 0.0376679i | ||||
\(196\) | −0.937206 | + | 1.63303i | −0.0669433 | + | 0.116645i | ||||
\(197\) | 6.64634 | + | 4.27134i | 0.473532 | + | 0.304321i | 0.755553 | − | 0.655088i | \(-0.227368\pi\) |
−0.282021 | + | 0.959408i | \(0.591005\pi\) | |||||||
\(198\) | 2.52005 | + | 0.872198i | 0.179092 | + | 0.0619844i | ||||
\(199\) | 12.0069 | + | 1.14652i | 0.851143 | + | 0.0812743i | 0.511503 | − | 0.859281i | \(-0.329089\pi\) |
0.339640 | + | 0.940556i | \(0.389695\pi\) | |||||||
\(200\) | 0.700569 | + | 14.7068i | 0.0495377 | + | 1.03992i | ||||
\(201\) | −2.85474 | − | 11.7674i | −0.201358 | − | 0.830007i | ||||
\(202\) | 3.74396 | + | 3.24416i | 0.263424 | + | 0.228258i | ||||
\(203\) | −6.51303 | − | 2.96423i | −0.457125 | − | 0.208048i | ||||
\(204\) | 1.91043 | + | 0.872466i | 0.133757 | + | 0.0610848i | ||||
\(205\) | 1.18828 | + | 1.51103i | 0.0829934 | + | 0.105535i | ||||
\(206\) | −3.08096 | + | 5.33638i | −0.214661 | + | 0.371803i | ||||
\(207\) | 2.92649 | − | 3.79943i | 0.203405 | − | 0.264079i | ||||
\(208\) | 5.98451 | − | 3.45516i | 0.414951 | − | 0.239572i | ||||
\(209\) | 1.56926 | − | 0.225626i | 0.108548 | − | 0.0156069i | ||||
\(210\) | −0.525382 | + | 0.739818i | −0.0362548 | + | 0.0510523i | ||||
\(211\) | 13.7202 | − | 4.02863i | 0.944541 | − | 0.277342i | 0.227029 | − | 0.973888i | \(-0.427099\pi\) |
0.717512 | + | 0.696546i | \(0.245281\pi\) | |||||||
\(212\) | 0.173443 | − | 0.899907i | 0.0119121 | − | 0.0618058i | ||||
\(213\) | −2.28210 | − | 2.39340i | −0.156367 | − | 0.163993i | ||||
\(214\) | 22.8602 | − | 1.08896i | 1.56269 | − | 0.0744401i | ||||
\(215\) | −2.37169 | − | 1.68887i | −0.161748 | − | 0.115180i | ||||
\(216\) | −2.25611 | + | 1.95493i | −0.153509 | + | 0.133016i | ||||
\(217\) | −0.456472 | + | 1.89228i | −0.0309873 | + | 0.128456i | ||||
\(218\) | 19.2814 | + | 2.77224i | 1.30590 | + | 0.187760i | ||||
\(219\) | 7.52682 | − | 3.01328i | 0.508615 | − | 0.203619i | ||||
\(220\) | −0.0651206 | − | 0.126316i | −0.00439043 | − | 0.00851624i | ||||
\(221\) | −3.01248 | − | 15.6302i | −0.202641 | − | 1.05140i | ||||
\(222\) | 7.43037 | − | 10.4345i | 0.498694 | − | 0.700318i | ||||
\(223\) | 2.06995 | + | 3.22090i | 0.138614 | + | 0.215688i | 0.903619 | − | 0.428336i | \(-0.140900\pi\) |
−0.765005 | + | 0.644024i | \(0.777264\pi\) | |||||||
\(224\) | −3.99230 | + | 0.195351i | −0.266747 | + | 0.0130524i | ||||
\(225\) | −3.22981 | + | 3.72739i | −0.215320 | + | 0.248493i | ||||
\(226\) | 6.67389 | − | 6.99937i | 0.443940 | − | 0.465591i | ||||
\(227\) | 6.49020 | + | 9.11420i | 0.430769 | + | 0.604931i | 0.971724 | − | 0.236121i | \(-0.0758762\pi\) |
−0.540954 | + | 0.841052i | \(0.681937\pi\) | |||||||
\(228\) | −0.0781952 | + | 0.195322i | −0.00517860 | + | 0.0129355i | ||||
\(229\) | 5.45640 | + | 9.45076i | 0.360569 | + | 0.624524i | 0.988055 | − | 0.154104i | \(-0.0492492\pi\) |
−0.627485 | + | 0.778628i | \(0.715916\pi\) | |||||||
\(230\) | 1.62560 | − | 0.250454i | 0.107189 | − | 0.0165144i | ||||
\(231\) | −1.00807 | + | 5.26699i | −0.0663260 | + | 0.346543i | ||||
\(232\) | −1.14906 | − | 7.99191i | −0.0754397 | − | 0.524695i | ||||
\(233\) | 16.3256 | − | 1.55890i | 1.06952 | − | 0.102127i | 0.454586 | − | 0.890703i | \(-0.349787\pi\) |
0.614938 | + | 0.788576i | \(0.289181\pi\) | |||||||
\(234\) | 2.60658 | + | 0.632349i | 0.170397 | + | 0.0413380i | ||||
\(235\) | −2.29408 | + | 0.793989i | −0.149649 | + | 0.0517941i | ||||
\(236\) | 3.48494 | − | 0.845438i | 0.226851 | − | 0.0550333i | ||||
\(237\) | −7.59107 | + | 4.87849i | −0.493093 | + | 0.316892i | ||||
\(238\) | 7.62374 | − | 26.0888i | 0.494174 | − | 1.69109i | ||||
\(239\) | −16.9712 | − | 19.5858i | −1.09778 | − | 1.26690i | −0.961074 | − | 0.276290i | \(-0.910895\pi\) |
−0.136703 | − | 0.990612i | \(-0.543650\pi\) | |||||||
\(240\) | −0.882596 | − | 0.0420432i | −0.0569713 | − | 0.00271388i | ||||
\(241\) | 1.96594 | + | 1.54603i | 0.126637 | + | 0.0995888i | 0.679469 | − | 0.733704i | \(-0.262210\pi\) |
−0.552831 | + | 0.833293i | \(0.686453\pi\) | |||||||
\(242\) | −7.12748 | − | 5.60511i | −0.458171 | − | 0.360310i | ||||
\(243\) | −0.998867 | − | 0.0475819i | −0.0640774 | − | 0.00305238i | ||||
\(244\) | −1.60952 | − | 1.85748i | −0.103039 | − | 0.118913i | ||||
\(245\) | −1.62402 | − | 0.831930i | −0.103755 | − | 0.0531500i | ||||
\(246\) | 8.16215 | − | 5.24549i | 0.520399 | − | 0.334440i | ||||
\(247\) | 1.54965 | − | 0.375940i | 0.0986017 | − | 0.0239205i | ||||
\(248\) | −2.07554 | + | 0.718353i | −0.131797 | + | 0.0456155i | ||||
\(249\) | 16.1022 | + | 3.90636i | 1.02044 | + | 0.247556i | ||||
\(250\) | −3.39088 | + | 0.323790i | −0.214458 | + | 0.0204783i | ||||
\(251\) | −1.88212 | − | 13.0904i | −0.118798 | − | 0.826262i | −0.958882 | − | 0.283805i | \(-0.908403\pi\) |
0.840084 | − | 0.542457i | \(-0.182506\pi\) | |||||||
\(252\) | −0.538432 | − | 0.465337i | −0.0339180 | − | 0.0293135i | ||||
\(253\) | 8.12411 | − | 5.33736i | 0.510758 | − | 0.335557i | ||||
\(254\) | −0.641135 | − | 1.11048i | −0.0402284 | − | 0.0696776i | ||||
\(255\) | −0.756468 | + | 1.88957i | −0.0473719 | + | 0.118329i | ||||
\(256\) | −3.67379 | − | 5.15911i | −0.229612 | − | 0.322445i | ||||
\(257\) | 6.51830 | − | 6.83620i | 0.406600 | − | 0.426430i | −0.488314 | − | 0.872668i | \(-0.662388\pi\) |
0.894914 | + | 0.446238i | \(0.147236\pi\) | |||||||
\(258\) | −9.62349 | + | 11.1061i | −0.599132 | + | 0.691435i | ||||
\(259\) | 22.9112 | + | 11.7741i | 1.42363 | + | 0.731606i | ||||
\(260\) | −0.0772785 | − | 0.120248i | −0.00479261 | − | 0.00745745i | ||||
\(261\) | 1.56886 | − | 2.20315i | 0.0971097 | − | 0.136372i | ||||
\(262\) | −1.74098 | − | 9.03306i | −0.107558 | − | 0.558064i | ||||
\(263\) | 9.11080 | + | 17.6725i | 0.561796 | + | 1.08973i | 0.983144 | + | 0.182833i | \(0.0585268\pi\) |
−0.421348 | + | 0.906899i | \(0.638443\pi\) | |||||||
\(264\) | −5.61730 | + | 2.24883i | −0.345721 | + | 0.138406i | ||||
\(265\) | 0.879124 | + | 0.126399i | 0.0540042 | + | 0.00776463i | ||||
\(266\) | 2.64686 | + | 0.638499i | 0.162289 | + | 0.0391489i | ||||
\(267\) | 4.13034 | − | 3.57896i | 0.252773 | − | 0.219029i | ||||
\(268\) | 2.65306 | + | 1.88924i | 0.162062 | + | 0.115404i | ||||
\(269\) | −1.36317 | + | 0.0649359i | −0.0831140 | + | 0.00395921i | −0.0890977 | − | 0.996023i | \(-0.528398\pi\) |
0.00598370 | + | 0.999982i | \(0.498095\pi\) | |||||||
\(270\) | −0.236670 | − | 0.248213i | −0.0144033 | − | 0.0151057i | ||||
\(271\) | −4.57741 | + | 23.7498i | −0.278058 | + | 1.44270i | 0.527183 | + | 0.849752i | \(0.323248\pi\) |
−0.805241 | + | 0.592948i | \(0.797964\pi\) | |||||||
\(272\) | 25.3951 | − | 7.45668i | 1.53981 | − | 0.452128i | ||||
\(273\) | −0.505760 | + | 5.36993i | −0.0306100 | + | 0.325003i | ||||
\(274\) | 18.5617 | − | 2.66877i | 1.12135 | − | 0.161226i | ||||
\(275\) | −8.65733 | + | 4.99831i | −0.522057 | + | 0.301410i | ||||
\(276\) | 0.0743469 | + | 1.28783i | 0.00447516 | + | 0.0775185i | ||||
\(277\) | 2.58524 | − | 4.47777i | 0.155332 | − | 0.269043i | −0.777848 | − | 0.628453i | \(-0.783689\pi\) |
0.933180 | + | 0.359410i | \(0.117022\pi\) | |||||||
\(278\) | 1.00645 | + | 1.27980i | 0.0603627 | + | 0.0767574i | ||||
\(279\) | −0.669243 | − | 0.305633i | −0.0400665 | − | 0.0182978i | ||||
\(280\) | −0.198356 | − | 2.04927i | −0.0118540 | − | 0.122467i | ||||
\(281\) | 1.75133 | + | 1.51754i | 0.104476 | + | 0.0905288i | 0.705532 | − | 0.708678i | \(-0.250708\pi\) |
−0.601057 | + | 0.799206i | \(0.705253\pi\) | |||||||
\(282\) | 2.88870 | + | 11.9074i | 0.172019 | + | 0.709073i | ||||
\(283\) | −0.443148 | − | 9.30282i | −0.0263424 | − | 0.552995i | −0.973007 | − | 0.230775i | \(-0.925874\pi\) |
0.946665 | − | 0.322220i | \(-0.104429\pi\) | |||||||
\(284\) | 0.885489 | + | 0.0845539i | 0.0525441 | + | 0.00501735i | ||||
\(285\) | −0.192681 | − | 0.0666876i | −0.0114134 | − | 0.00395023i | ||||
\(286\) | 4.57343 | + | 2.93916i | 0.270432 | + | 0.173796i | ||||
\(287\) | 12.7959 | + | 14.7288i | 0.755319 | + | 0.869411i | ||||
\(288\) | 0.215003 | − | 1.49538i | 0.0126691 | − | 0.0881158i | ||||
\(289\) | 2.09204 | − | 43.9174i | 0.123061 | − | 2.58338i | ||||
\(290\) | 0.910830 | − | 0.175548i | 0.0534858 | − | 0.0103085i | ||||
\(291\) | −1.24107 | + | 12.9971i | −0.0727531 | + | 0.761905i | ||||
\(292\) | −0.999286 | + | 1.93834i | −0.0584788 | + | 0.113433i | ||||
\(293\) | −10.2990 | − | 3.02407i | −0.601675 | − | 0.176668i | −0.0333113 | − | 0.999445i | \(-0.510605\pi\) |
−0.568364 | + | 0.822777i | \(0.692423\pi\) | |||||||
\(294\) | −4.95913 | + | 7.76061i | −0.289222 | + | 0.452608i | ||||
\(295\) | 0.979099 | + | 3.33450i | 0.0570053 | + | 0.194142i | ||||
\(296\) | 2.76280 | + | 28.9334i | 0.160585 | + | 1.68172i | ||||
\(297\) | −1.88168 | − | 0.753311i | −0.109186 | − | 0.0437116i | ||||
\(298\) | −16.8409 | − | 9.72307i | −0.975565 | − | 0.563243i | ||||
\(299\) | 7.62394 | − | 6.12074i | 0.440904 | − | 0.353971i | ||||
\(300\) | − | 1.32662i | − | 0.0765923i | ||||||
\(301\) | −24.8810 | − | 15.9447i | −1.43412 | − | 0.919035i | ||||
\(302\) | −3.52336 | + | 7.71509i | −0.202747 | + | 0.443954i | ||||
\(303\) | −2.72509 | − | 2.59837i | −0.156552 | − | 0.149272i | ||||
\(304\) | 0.867184 | + | 2.50556i | 0.0497364 | + | 0.143704i | ||||
\(305\) | 1.72386 | − | 1.64369i | 0.0987077 | − | 0.0941176i | ||||
\(306\) | 9.13105 | + | 4.70738i | 0.521987 | + | 0.269103i | ||||
\(307\) | 26.9192 | − | 12.2936i | 1.53636 | − | 0.701632i | 0.545699 | − | 0.837981i | \(-0.316264\pi\) |
0.990661 | + | 0.136349i | \(0.0435368\pi\) | |||||||
\(308\) | −0.722827 | − | 1.24824i | −0.0411869 | − | 0.0711252i | ||||
\(309\) | 2.53206 | − | 3.93996i | 0.144044 | − | 0.224137i | ||||
\(310\) | −0.0937804 | − | 0.234252i | −0.00532637 | − | 0.0133046i | ||||
\(311\) | 1.64344 | − | 2.08981i | 0.0931911 | − | 0.118502i | −0.737221 | − | 0.675651i | \(-0.763862\pi\) |
0.830412 | + | 0.557149i | \(0.188105\pi\) | |||||||
\(312\) | −5.40930 | + | 2.78869i | −0.306241 | + | 0.157878i | ||||
\(313\) | −3.54229 | + | 10.2348i | −0.200222 | + | 0.578504i | −0.999755 | − | 0.0221178i | \(-0.992959\pi\) |
0.799533 | + | 0.600622i | \(0.205080\pi\) | |||||||
\(314\) | −8.69258 | − | 19.0341i | −0.490551 | − | 1.07416i | ||||
\(315\) | 0.425626 | − | 0.542670i | 0.0239813 | − | 0.0305760i | ||||
\(316\) | 0.683804 | − | 2.32882i | 0.0384670 | − | 0.131006i | ||||
\(317\) | 4.03850 | + | 0.778357i | 0.226825 | + | 0.0437169i | 0.301397 | − | 0.953499i | \(-0.402547\pi\) |
−0.0745723 | + | 0.997216i | \(0.523759\pi\) | |||||||
\(318\) | 1.05686 | − | 4.35645i | 0.0592659 | − | 0.244297i | ||||
\(319\) | 4.46550 | − | 3.17987i | 0.250020 | − | 0.178038i | ||||
\(320\) | 1.79639 | − | 1.41269i | 0.100421 | − | 0.0789720i | ||||
\(321\) | −17.3948 | −0.970886 | ||||||||
\(322\) | 16.3555 | − | 3.34539i | 0.911457 | − | 0.186431i | ||||
\(323\) | 6.10747 | 0.339828 | ||||||||
\(324\) | 0.211432 | − | 0.166272i | 0.0117462 | − | 0.00923732i | ||||
\(325\) | −8.19024 | + | 5.83225i | −0.454313 | + | 0.323515i | ||||
\(326\) | −7.05935 | + | 29.0990i | −0.390981 | + | 1.61165i | ||||
\(327\) | −14.5382 | − | 2.80200i | −0.803962 | − | 0.154951i | ||||
\(328\) | −6.20219 | + | 21.1227i | −0.342459 | + | 1.16631i | ||||
\(329\) | −22.8626 | + | 9.18714i | −1.26046 | + | 0.506503i | ||||
\(330\) | −0.288771 | − | 0.632320i | −0.0158963 | − | 0.0348080i | ||||
\(331\) | 2.69324 | − | 7.78160i | 0.148034 | − | 0.427716i | −0.846467 | − | 0.532441i | \(-0.821275\pi\) |
0.994501 | + | 0.104725i | \(0.0333962\pi\) | |||||||
\(332\) | −3.96136 | + | 2.04222i | −0.217408 | + | 0.112081i | ||||
\(333\) | −6.01851 | + | 7.65316i | −0.329812 | + | 0.419390i | ||||
\(334\) | −4.42165 | − | 11.0448i | −0.241942 | − | 0.604342i | ||||
\(335\) | −1.70648 | + | 2.65533i | −0.0932349 | + | 0.145076i | ||||
\(336\) | −8.96828 | + | 0.0115965i | −0.489260 | + | 0.000632642i | ||||
\(337\) | −11.4208 | + | 5.21572i | −0.622132 | + | 0.284118i | −0.701436 | − | 0.712732i | \(-0.747457\pi\) |
0.0793042 | + | 0.996850i | \(0.474730\pi\) | |||||||
\(338\) | −10.3424 | − | 5.33188i | −0.562552 | − | 0.290016i | ||||
\(339\) | −5.31995 | + | 5.07256i | −0.288940 | + | 0.275504i | ||||
\(340\) | −0.179060 | − | 0.517360i | −0.00971088 | − | 0.0280578i | ||||
\(341\) | −1.07925 | − | 1.02906i | −0.0584448 | − | 0.0557270i | ||||
\(342\) | −0.427510 | + | 0.936116i | −0.0231171 | + | 0.0506194i | ||||
\(343\) | −16.8763 | − | 7.62818i | −0.911237 | − | 0.411883i | ||||
\(344\) | − | 33.3437i | − | 1.79777i | ||||||
\(345\) | −1.24322 | + | 0.131354i | −0.0669326 | + | 0.00707187i | ||||
\(346\) | −19.8004 | − | 11.4318i | −1.06448 | − | 0.614576i | ||||
\(347\) | −6.09055 | − | 2.43829i | −0.326958 | − | 0.130894i | 0.202376 | − | 0.979308i | \(-0.435134\pi\) |
−0.529334 | + | 0.848414i | \(0.677558\pi\) | |||||||
\(348\) | 0.0691529 | + | 0.724202i | 0.00370698 | + | 0.0388213i | ||||
\(349\) | 8.33615 | + | 28.3903i | 0.446224 | + | 1.51970i | 0.808992 | + | 0.587819i | \(0.200013\pi\) |
−0.362769 | + | 0.931879i | \(0.618168\pi\) | |||||||
\(350\) | −16.9904 | + | 2.46528i | −0.908175 | + | 0.131775i | ||||
\(351\) | −1.95605 | − | 0.574347i | −0.104406 | − | 0.0306564i | ||||
\(352\) | 1.40313 | − | 2.72170i | 0.0747873 | − | 0.145067i | ||||
\(353\) | −0.439056 | + | 4.59800i | −0.0233686 | + | 0.244727i | 0.976239 | + | 0.216699i | \(0.0695289\pi\) |
−0.999607 | + | 0.0280283i | \(0.991077\pi\) | |||||||
\(354\) | 17.2237 | − | 3.31960i | 0.915430 | − | 0.176435i | ||||
\(355\) | −0.0410177 | + | 0.861068i | −0.00217700 | + | 0.0457008i | ||||
\(356\) | −0.209207 | + | 1.45507i | −0.0110880 | + | 0.0771184i | ||||
\(357\) | −6.73146 | + | 19.5309i | −0.356267 | + | 1.03369i | ||||
\(358\) | −15.9935 | − | 10.2784i | −0.845282 | − | 0.543230i | ||||
\(359\) | 14.4173 | + | 4.98987i | 0.760916 | + | 0.263355i | 0.679848 | − | 0.733353i | \(-0.262046\pi\) |
0.0810677 | + | 0.996709i | \(0.474167\pi\) | |||||||
\(360\) | 0.774648 | + | 0.0739699i | 0.0408276 | + | 0.00389856i | ||||
\(361\) | −0.874945 | − | 18.3673i | −0.0460497 | − | 0.966703i | ||||
\(362\) | −1.75980 | − | 7.25398i | −0.0924929 | − | 0.381261i | ||||
\(363\) | 5.20847 | + | 4.51317i | 0.273374 | + | 0.236880i | ||||
\(364\) | −0.843069 | − | 1.18069i | −0.0441888 | − | 0.0618850i | ||||
\(365\) | −1.92243 | − | 0.877945i | −0.100625 | − | 0.0459537i | ||||
\(366\) | −7.43155 | − | 9.44998i | −0.388453 | − | 0.493959i | ||||
\(367\) | −13.8433 | + | 23.9774i | −0.722617 | + | 1.25161i | 0.237330 | + | 0.971429i | \(0.423728\pi\) |
−0.959947 | + | 0.280180i | \(0.909606\pi\) | |||||||
\(368\) | 11.3361 | + | 11.6518i | 0.590933 | + | 0.607391i | ||||
\(369\) | −6.38641 | + | 3.68720i | −0.332463 | + | 0.191948i | ||||
\(370\) | −3.30515 | + | 0.475208i | −0.171826 | + | 0.0247049i | ||||
\(371\) | 8.97492 | + | 0.845292i | 0.465955 | + | 0.0438853i | ||||
\(372\) | 0.189880 | − | 0.0557537i | 0.00984480 | − | 0.00289069i | ||||
\(373\) | −1.83990 | + | 9.54633i | −0.0952667 | + | 0.494290i | 0.902684 | + | 0.430304i | \(0.141594\pi\) |
−0.997951 | + | 0.0639865i | \(0.979619\pi\) | |||||||
\(374\) | 14.3689 | + | 15.0697i | 0.742999 | + | 0.779235i | ||||
\(375\) | 2.58607 | − | 0.123190i | 0.133544 | − | 0.00636149i | ||||
\(376\) | −22.6462 | − | 16.1263i | −1.16789 | − | 0.831650i | ||||
\(377\) | 4.16704 | − | 3.61076i | 0.214614 | − | 0.185964i | ||||
\(378\) | −2.52240 | − | 2.39888i | −0.129738 | − | 0.123385i | ||||
\(379\) | −23.4976 | − | 3.37844i | −1.20699 | − | 0.173539i | −0.490692 | − | 0.871333i | \(-0.663256\pi\) |
−0.716299 | + | 0.697794i | \(0.754165\pi\) | |||||||
\(380\) | 0.0509149 | − | 0.0203833i | 0.00261188 | − | 0.00104564i | ||||
\(381\) | 0.446589 | + | 0.866262i | 0.0228795 | + | 0.0443800i | ||||
\(382\) | 0.0987948 | + | 0.512596i | 0.00505478 | + | 0.0262267i | ||||
\(383\) | 19.4531 | − | 27.3181i | 0.994008 | − | 1.39589i | 0.0769955 | − | 0.997031i | \(-0.475467\pi\) |
0.917013 | − | 0.398858i | \(-0.130593\pi\) | |||||||
\(384\) | −4.60256 | − | 7.16173i | −0.234873 | − | 0.365470i | ||||
\(385\) | 1.17499 | − | 0.757269i | 0.0598830 | − | 0.0385940i | ||||
\(386\) | 0.537832 | − | 0.620691i | 0.0273749 | − | 0.0315923i | ||||
\(387\) | 7.70781 | − | 8.08372i | 0.391810 | − | 0.410919i | ||||
\(388\) | −2.03707 | − | 2.86067i | −0.103417 | − | 0.145229i | ||||
\(389\) | 7.45890 | − | 18.6314i | 0.378181 | − | 0.944651i | −0.610144 | − | 0.792291i | \(-0.708888\pi\) |
0.988325 | − | 0.152361i | \(-0.0486875\pi\) | |||||||
\(390\) | −0.349585 | − | 0.605499i | −0.0177019 | − | 0.0306606i | ||||
\(391\) | 33.9043 | − | 15.8980i | 1.71461 | − | 0.803994i | ||||
\(392\) | −3.02741 | − | 20.6763i | −0.152907 | − | 1.04431i | ||||
\(393\) | 0.995070 | + | 6.92087i | 0.0501947 | + | 0.349111i | ||||
\(394\) | −10.3475 | + | 0.988067i | −0.521300 | + | 0.0497781i | ||||
\(395\) | 2.28587 | + | 0.554547i | 0.115015 | + | 0.0279023i | ||||
\(396\) | 0.515200 | − | 0.178313i | 0.0258898 | − | 0.00896055i | ||||
\(397\) | 0.704474 | − | 0.170904i | 0.0353566 | − | 0.00857741i | −0.218042 | − | 0.975939i | \(-0.569967\pi\) |
0.253398 | + | 0.967362i | \(0.418452\pi\) | |||||||
\(398\) | −13.3499 | + | 8.57946i | −0.669170 | + | 0.430050i | ||||
\(399\) | −1.98641 | − | 0.580473i | −0.0994447 | − | 0.0290600i | ||||
\(400\) | −10.9480 | − | 12.6347i | −0.547402 | − | 0.631736i | ||||
\(401\) | −8.92989 | − | 0.425383i | −0.445937 | − | 0.0212426i | −0.176587 | − | 0.984285i | \(-0.556506\pi\) |
−0.269350 | + | 0.963042i | \(0.586809\pi\) | |||||||
\(402\) | 12.5228 | + | 9.84803i | 0.624580 | + | 0.491175i | ||||
\(403\) | −1.17898 | − | 0.927163i | −0.0587294 | − | 0.0461853i | ||||
\(404\) | 1.01164 | + | 0.0481906i | 0.0503312 | + | 0.00239757i | ||||
\(405\) | 0.170704 | + | 0.197003i | 0.00848233 | + | 0.00978914i | ||||
\(406\) | 9.14656 | − | 2.23146i | 0.453936 | − | 0.110745i | ||||
\(407\) | −16.6013 | + | 10.6690i | −0.822895 | + | 0.528842i | ||||
\(408\) | −22.6523 | + | 5.49538i | −1.12145 | + | 0.272062i | ||||
\(409\) | −21.1367 | + | 7.31547i | −1.04514 | + | 0.361727i | −0.795081 | − | 0.606504i | \(-0.792572\pi\) |
−0.250060 | + | 0.968230i | \(0.580450\pi\) | |||||||
\(410\) | −2.45784 | − | 0.596265i | −0.121384 | − | 0.0294474i | ||||
\(411\) | −14.1886 | + | 1.35485i | −0.699871 | + | 0.0668296i | ||||
\(412\) | 0.179281 | + | 1.24692i | 0.00883253 | + | 0.0614316i | ||||
\(413\) | 11.5798 | + | 33.3182i | 0.569806 | + | 1.63948i | ||||
\(414\) | 0.0635153 | + | 6.30947i | 0.00312161 | + | 0.310094i | ||||
\(415\) | −2.15958 | − | 3.74049i | −0.106009 | − | 0.183614i | ||||
\(416\) | 1.14467 | − | 2.85924i | 0.0561220 | − | 0.140186i | ||||
\(417\) | −0.717811 | − | 1.00802i | −0.0351514 | − | 0.0493632i | ||||
\(418\) | −1.43942 | + | 1.50962i | −0.0704045 | + | 0.0738381i | ||||
\(419\) | −13.2941 | + | 15.3422i | −0.649460 | + | 0.749517i | −0.981018 | − | 0.193918i | \(-0.937880\pi\) |
0.331558 | + | 0.943435i | \(0.392426\pi\) | |||||||
\(420\) | 0.00906639 | + | 0.185286i | 0.000442395 | + | 0.00904102i | ||||
\(421\) | 4.25782 | + | 6.62530i | 0.207513 | + | 0.322897i | 0.929373 | − | 0.369143i | \(-0.120349\pi\) |
−0.721859 | + | 0.692040i | \(0.756712\pi\) | |||||||
\(422\) | −10.9129 | + | 15.3251i | −0.531234 | + | 0.746013i | ||||
\(423\) | −1.76247 | − | 9.14455i | −0.0856941 | − | 0.444623i | ||||
\(424\) | 4.66081 | + | 9.04071i | 0.226349 | + | 0.439055i | ||||
\(425\) | −35.7516 | + | 14.3128i | −1.73421 | + | 0.694272i | ||||
\(426\) | 4.30669 | + | 0.619209i | 0.208660 | + | 0.0300008i | ||||
\(427\) | 16.6604 | − | 17.5183i | 0.806255 | − | 0.847768i | ||||
\(428\) | 3.53604 | − | 3.06399i | 0.170921 | − | 0.148104i | ||||
\(429\) | −3.36585 | − | 2.39681i | −0.162505 | − | 0.115719i | ||||
\(430\) | 3.82635 | − | 0.182272i | 0.184523 | − | 0.00878992i | ||||
\(431\) | 7.21104 | + | 7.56273i | 0.347344 | + | 0.364284i | 0.874111 | − | 0.485726i | \(-0.161445\pi\) |
−0.526767 | + | 0.850009i | \(0.676596\pi\) | |||||||
\(432\) | 0.641504 | − | 3.32844i | 0.0308644 | − | 0.160139i | ||||
\(433\) | −3.39294 | + | 0.996258i | −0.163054 | + | 0.0478771i | −0.362241 | − | 0.932085i | \(-0.617988\pi\) |
0.199186 | + | 0.979962i | \(0.436170\pi\) | |||||||
\(434\) | −1.06691 | − | 2.32824i | −0.0512134 | − | 0.111759i | ||||
\(435\) | −0.697852 | + | 0.100336i | −0.0334594 | + | 0.00481074i | ||||
\(436\) | 3.44888 | − | 1.99121i | 0.165172 | − | 0.0953618i | ||||
\(437\) | 1.75240 | + | 3.31678i | 0.0838287 | + | 0.158663i | ||||
\(438\) | −5.33350 | + | 9.23789i | −0.254845 | + | 0.441404i | ||||
\(439\) | 19.2712 | + | 24.5054i | 0.919765 | + | 1.16958i | 0.985146 | + | 0.171716i | \(0.0549313\pi\) |
−0.0653811 | + | 0.997860i | \(0.520826\pi\) | |||||||
\(440\) | 1.43472 | + | 0.655215i | 0.0683976 | + | 0.0312361i | ||||
\(441\) | 4.04564 | − | 5.71251i | 0.192649 | − | 0.272024i | ||||
\(442\) | 15.8276 | + | 13.7147i | 0.752842 | + | 0.652341i | ||||
\(443\) | −2.29063 | − | 9.44210i | −0.108831 | − | 0.448608i | 0.891156 | − | 0.453697i | \(-0.149895\pi\) |
−0.999987 | + | 0.00508930i | \(0.998380\pi\) | |||||||
\(444\) | −0.124609 | − | 2.61586i | −0.00591368 | − | 0.124143i | ||||
\(445\) | −1.41818 | − | 0.135420i | −0.0672281 | − | 0.00641951i | ||||
\(446\) | −4.76030 | − | 1.64755i | −0.225407 | − | 0.0780140i | ||||
\(447\) | 12.4340 | + | 7.99082i | 0.588106 | + | 0.377953i | ||||
\(448\) | 17.5103 | − | 15.2124i | 0.827284 | − | 0.718720i | ||||
\(449\) | 2.19567 | − | 15.2712i | 0.103620 | − | 0.720692i | −0.870089 | − | 0.492895i | \(-0.835939\pi\) |
0.973709 | − | 0.227797i | \(-0.0731522\pi\) | |||||||
\(450\) | 0.308760 | − | 6.48166i | 0.0145551 | − | 0.305549i | ||||
\(451\) | −14.6768 | + | 2.82873i | −0.691105 | + | 0.133199i | ||||
\(452\) | 0.187943 | − | 1.96823i | 0.00884011 | − | 0.0925778i | ||||
\(453\) | 2.95396 | − | 5.72988i | 0.138789 | − | 0.269213i | ||||
\(454\) | −14.1247 | − | 4.14739i | −0.662906 | − | 0.194647i | ||||
\(455\) | 1.10405 | − | 0.870551i | 0.0517589 | − | 0.0408120i | ||||
\(456\) | −0.657857 | − | 2.24046i | −0.0308070 | − | 0.104919i | ||||
\(457\) | 1.68043 | + | 17.5982i | 0.0786072 | + | 0.823211i | 0.945695 | + | 0.325056i | \(0.105383\pi\) |
−0.867088 | + | 0.498156i | \(0.834011\pi\) | |||||||
\(458\) | −13.3293 | − | 5.33625i | −0.622838 | − | 0.249347i | ||||
\(459\) | −6.76206 | − | 3.90407i | −0.315626 | − | 0.182227i | ||||
\(460\) | 0.229585 | − | 0.245687i | 0.0107045 | − | 0.0114552i | ||||
\(461\) | − | 20.9132i | − | 0.974025i | −0.873395 | − | 0.487012i | \(-0.838087\pi\) | ||
0.873395 | − | 0.487012i | \(-0.161913\pi\) | |||||||
\(462\) | −3.24111 | − | 6.26697i | −0.150790 | − | 0.291566i | ||||
\(463\) | 0.369330 | − | 0.808719i | 0.0171642 | − | 0.0375844i | −0.900856 | − | 0.434119i | \(-0.857060\pi\) |
0.918020 | + | 0.396534i | \(0.129787\pi\) | |||||||
\(464\) | 6.63516 | + | 6.32662i | 0.308030 | + | 0.293706i | ||||
\(465\) | 0.0627264 | + | 0.181236i | 0.00290887 | + | 0.00840461i | ||||
\(466\) | −15.6160 | + | 14.8898i | −0.723397 | + | 0.689758i | ||||
\(467\) | 21.6251 | + | 11.1485i | 1.00069 | + | 0.515892i | 0.879074 | − | 0.476685i | \(-0.158162\pi\) |
0.121617 | + | 0.992577i | \(0.461192\pi\) | |||||||
\(468\) | 0.498794 | − | 0.227792i | 0.0230568 | − | 0.0105297i | ||||
\(469\) | −15.9824 | + | 27.7652i | −0.738000 | + | 1.28208i | ||||
\(470\) | 1.72678 | − | 2.68692i | 0.0796503 | − | 0.123938i | ||||
\(471\) | 5.91105 | + | 14.7651i | 0.272367 | + | 0.680339i | ||||
\(472\) | −24.6024 | + | 31.2845i | −1.13242 | + | 1.43999i | ||||
\(473\) | 20.1224 | − | 10.3738i | 0.925228 | − | 0.476988i | ||||
\(474\) | 3.88298 | − | 11.2191i | 0.178351 | − | 0.515312i | ||||
\(475\) | −1.60259 | − | 3.50918i | −0.0735319 | − | 0.161012i | ||||
\(476\) | −2.07188 | − | 5.15597i | −0.0949644 | − | 0.236323i | ||||
\(477\) | −0.959923 | + | 3.26920i | −0.0439519 | + | 0.149686i | ||||
\(478\) | 33.4808 | + | 6.45289i | 1.53137 | + | 0.295148i | ||||
\(479\) | −3.62159 | + | 14.9284i | −0.165475 | + | 0.682096i | 0.827265 | + | 0.561812i | \(0.189896\pi\) |
−0.992740 | + | 0.120284i | \(0.961620\pi\) | |||||||
\(480\) | −0.320789 | + | 0.228433i | −0.0146419 | + | 0.0104265i | ||||
\(481\) | −15.6019 | + | 12.2695i | −0.711387 | + | 0.559441i | ||||
\(482\) | −3.29056 | −0.149881 | ||||||||
\(483\) | −12.5381 | + | 1.94832i | −0.570503 | + | 0.0886517i | ||||
\(484\) | −1.85375 | −0.0842613 | ||||||||
\(485\) | 2.67525 | − | 2.10384i | 0.121477 | − | 0.0955303i | ||||
\(486\) | 1.07172 | − | 0.763171i | 0.0486144 | − | 0.0346181i | ||||
\(487\) | 1.03160 | − | 4.25232i | 0.0467463 | − | 0.192691i | −0.943651 | − | 0.330943i | \(-0.892633\pi\) |
0.990397 | + | 0.138252i | \(0.0441484\pi\) | |||||||
\(488\) | 26.7849 | + | 5.16236i | 1.21249 | + | 0.233689i | ||||
\(489\) | 6.41183 | − | 21.8367i | 0.289953 | − | 0.987490i | ||||
\(490\) | 2.35616 | − | 0.460436i | 0.106441 | − | 0.0208004i | ||||
\(491\) | 6.79724 | + | 14.8839i | 0.306755 | + | 0.671700i | 0.998739 | − | 0.0502135i | \(-0.0159902\pi\) |
−0.691983 | + | 0.721913i | \(0.743263\pi\) | |||||||
\(492\) | 0.648758 | − | 1.87446i | 0.0292483 | − | 0.0845073i | ||||
\(493\) | 18.7708 | − | 9.67700i | 0.845392 | − | 0.435830i | ||||
\(494\) | −1.29689 | + | 1.64913i | −0.0583497 | + | 0.0741977i | ||||
\(495\) | 0.196367 | + | 0.490501i | 0.00882604 | + | 0.0220464i | ||||
\(496\) | 1.34830 | − | 2.09800i | 0.0605406 | − | 0.0942030i | ||||
\(497\) | 0.0113137 | + | 8.74952i | 0.000507487 | + | 0.392470i | ||||
\(498\) | −19.8299 | + | 9.05603i | −0.888601 | + | 0.405810i | ||||
\(499\) | 14.4006 | + | 7.42401i | 0.644658 | + | 0.332344i | 0.749363 | − | 0.662159i | \(-0.230360\pi\) |
−0.104705 | + | 0.994503i | \(0.533390\pi\) | |||||||
\(500\) | −0.503999 | + | 0.480563i | −0.0225395 | + | 0.0214914i | ||||
\(501\) | 2.95749 | + | 8.54510i | 0.132131 | + | 0.381767i | ||||
\(502\) | 12.5930 | + | 12.0074i | 0.562051 | + | 0.535915i | ||||
\(503\) | 13.8530 | − | 30.3338i | 0.617674 | − | 1.35252i | −0.299525 | − | 0.954089i | \(-0.596828\pi\) |
0.917199 | − | 0.398430i | \(-0.130445\pi\) | |||||||
\(504\) | 7.88978 | + | 0.365612i | 0.351439 | + | 0.0162857i | ||||
\(505\) | 0.981513i | 0.0436767i | ||||||||
\(506\) | −4.06104 | + | 12.1272i | −0.180535 | + | 0.539121i | ||||
\(507\) | 7.65913 | + | 4.42200i | 0.340154 | + | 0.196388i | ||||
\(508\) | −0.243370 | − | 0.0974305i | −0.0107978 | − | 0.00432278i | ||||
\(509\) | −0.621734 | − | 6.51110i | −0.0275579 | − | 0.288599i | −0.998737 | − | 0.0502476i | \(-0.983999\pi\) |
0.971179 | − | 0.238352i | \(-0.0766071\pi\) | |||||||
\(510\) | −0.754450 | − | 2.56942i | −0.0334076 | − | 0.113776i | ||||
\(511\) | −19.9244 | − | 7.94664i | −0.881403 | − | 0.351539i | ||||
\(512\) | 24.3320 | + | 7.14451i | 1.07533 | + | 0.315746i | ||||
\(513\) | 0.358421 | − | 0.695239i | 0.0158247 | − | 0.0306956i | ||||
\(514\) | −1.18132 | + | 12.3713i | −0.0521057 | + | 0.545675i | ||||
\(515\) | −1.19878 | + | 0.231046i | −0.0528245 | + | 0.0101811i | ||||
\(516\) | −0.142953 | + | 3.00095i | −0.00629314 | + | 0.132109i | ||||
\(517\) | 2.68632 | − | 18.6838i | 0.118144 | − | 0.821712i | ||||
\(518\) | −33.2706 | + | 6.45701i | −1.46183 | + | 0.283705i | ||||
\(519\) | 14.6191 | + | 9.39510i | 0.641705 | + | 0.412399i | ||||
\(520\) | 1.49915 | + | 0.518861i | 0.0657421 | + | 0.0227536i | ||||
\(521\) | −0.381697 | − | 0.0364476i | −0.0167224 | − | 0.00159680i | 0.0866915 | − | 0.996235i | \(-0.472371\pi\) |
−0.103414 | + | 0.994638i | \(0.532977\pi\) | |||||||
\(522\) | 0.169319 | + | 3.55444i | 0.00741089 | + | 0.155574i | ||||
\(523\) | −0.0440489 | − | 0.181572i | −0.00192612 | − | 0.00793959i | 0.970840 | − | 0.239727i | \(-0.0770579\pi\) |
−0.972767 | + | 0.231787i | \(0.925543\pi\) | |||||||
\(524\) | −1.42135 | − | 1.23160i | −0.0620918 | − | 0.0538028i | ||||
\(525\) | 12.9883 | − | 1.25718i | 0.566855 | − | 0.0548678i | ||||
\(526\) | −23.7954 | − | 10.8670i | −1.03753 | − | 0.473824i | ||||
\(527\) | −3.55113 | − | 4.51563i | −0.154690 | − | 0.196704i | ||||
\(528\) | 3.43523 | − | 5.95000i | 0.149499 | − | 0.258940i | ||||
\(529\) | 18.3618 | + | 13.8508i | 0.798338 | + | 0.602209i | ||||
\(530\) | −1.01199 | + | 0.584271i | −0.0439579 | + | 0.0253791i | ||||
\(531\) | −13.1963 | + | 1.89734i | −0.572671 | + | 0.0823376i | ||||
\(532\) | 0.506045 | − | 0.231894i | 0.0219398 | − | 0.0100539i | ||||
\(533\) | −14.4247 | + | 4.23546i | −0.624802 | + | 0.183458i | ||||
\(534\) | −1.36081 | + | 7.06056i | −0.0588881 | + | 0.305540i | ||||
\(535\) | 3.12906 | + | 3.28166i | 0.135281 | + | 0.141879i | ||||
\(536\) | −36.1067 | + | 1.71997i | −1.55957 | + | 0.0742915i | ||||
\(537\) | 11.7705 | + | 8.38177i | 0.507936 | + | 0.361700i | ||||
\(538\) | 1.35697 | − | 1.17583i | 0.0585033 | − | 0.0506934i | ||||
\(539\) | 11.5360 | − | 8.25976i | 0.496889 | − | 0.355773i | ||||
\(540\) | −0.0694015 | − | 0.00997843i | −0.00298657 | − | 0.000429403i | ||||
\(541\) | −33.6283 | + | 13.4627i | −1.44579 | + | 0.578808i | −0.956088 | − | 0.293080i | \(-0.905320\pi\) |
−0.489705 | + | 0.871888i | \(0.662895\pi\) | |||||||
\(542\) | −14.5818 | − | 28.2848i | −0.626343 | − | 1.21494i | ||||
\(543\) | 1.07370 | + | 5.57087i | 0.0460768 | + | 0.239069i | ||||
\(544\) | 6.84246 | − | 9.60889i | 0.293368 | − | 0.411978i | ||||
\(545\) | 2.08657 | + | 3.24676i | 0.0893787 | + | 0.139076i | ||||
\(546\) | −3.84432 | − | 5.96490i | −0.164522 | − | 0.255274i | ||||
\(547\) | −1.62277 | + | 1.87278i | −0.0693847 | + | 0.0800742i | −0.789381 | − | 0.613904i | \(-0.789598\pi\) |
0.719996 | + | 0.693978i | \(0.244144\pi\) | |||||||
\(548\) | 2.64562 | − | 2.77464i | 0.113015 | − | 0.118527i | ||||
\(549\) | 5.30028 | + | 7.44320i | 0.226210 | + | 0.317668i | ||||
\(550\) | 4.88825 | − | 12.2103i | 0.208436 | − | 0.520647i | ||||
\(551\) | 1.05778 | + | 1.83213i | 0.0450629 | + | 0.0780513i | ||||
\(552\) | −9.48394 | − | 10.7250i | −0.403663 | − | 0.456486i | ||||
\(553\) | 23.4484 | + | 4.48787i | 0.997127 | + | 0.190844i | ||||
\(554\) | 0.968127 | + | 6.73347i | 0.0411318 | + | 0.286078i | ||||
\(555\) | 2.52646 | − | 0.241247i | 0.107242 | − | 0.0102404i | ||||
\(556\) | 0.323474 | + | 0.0784740i | 0.0137184 | + | 0.00332804i | ||||
\(557\) | 23.0012 | − | 7.96080i | 0.974593 | − | 0.337310i | 0.207066 | − | 0.978327i | \(-0.433608\pi\) |
0.767527 | + | 0.641017i | \(0.221487\pi\) | |||||||
\(558\) | 0.940701 | − | 0.228211i | 0.0398230 | − | 0.00966096i | ||||
\(559\) | 19.1556 | − | 12.3106i | 0.810198 | − | 0.520682i | ||||
\(560\) | 1.61544 | + | 1.68984i | 0.0682647 | + | 0.0714089i | ||||
\(561\) | −10.3639 | − | 11.9606i | −0.437564 | − | 0.504976i | ||||
\(562\) | −3.04544 | − | 0.145072i | −0.128464 | − | 0.00611950i | ||||
\(563\) | 8.80011 | + | 6.92048i | 0.370880 | + | 0.291664i | 0.786151 | − | 0.618034i | \(-0.212071\pi\) |
−0.415271 | + | 0.909698i | \(0.636313\pi\) | |||||||
\(564\) | 1.96903 | + | 1.54846i | 0.0829112 | + | 0.0652021i | ||||
\(565\) | 1.91395 | + | 0.0911727i | 0.0805205 | + | 0.00383566i | ||||
\(566\) | 8.02430 | + | 9.26053i | 0.337286 | + | 0.389249i | ||||
\(567\) | 1.82825 | + | 1.91246i | 0.0767794 | + | 0.0803157i | ||||
\(568\) | −8.30509 | + | 5.33736i | −0.348474 | + | 0.223951i | ||||
\(569\) | −11.9058 | + | 2.88831i | −0.499116 | + | 0.121084i | −0.477411 | − | 0.878680i | \(-0.658425\pi\) |
−0.0217053 | + | 0.999764i | \(0.506910\pi\) | |||||||
\(570\) | 0.253507 | − | 0.0877397i | 0.0106182 | − | 0.00367501i | ||||
\(571\) | −20.3353 | − | 4.93330i | −0.851007 | − | 0.206452i | −0.213544 | − | 0.976933i | \(-0.568501\pi\) |
−0.637463 | + | 0.770481i | \(0.720016\pi\) | |||||||
\(572\) | 1.10640 | − | 0.105648i | 0.0462608 | − | 0.00441737i | ||||
\(573\) | −0.0564669 | − | 0.392736i | −0.00235894 | − | 0.0164068i | ||||
\(574\) | −25.2124 | − | 4.82549i | −1.05235 | − | 0.201412i | ||||
\(575\) | −18.0310 | − | 15.3089i | −0.751944 | − | 0.638424i | ||||
\(576\) | 4.38353 | + | 7.59249i | 0.182647 | + | 0.316354i | ||||
\(577\) | 15.6123 | − | 38.9975i | 0.649947 | − | 1.62349i | −0.125513 | − | 0.992092i | \(-0.540058\pi\) |
0.775460 | − | 0.631397i | \(-0.217518\pi\) | |||||||
\(578\) | 33.5545 | + | 47.1207i | 1.39568 | + | 1.95996i | ||||
\(579\) | −0.430770 | + | 0.451778i | −0.0179022 | + | 0.0187753i | ||||
\(580\) | 0.124186 | − | 0.143319i | 0.00515655 | − | 0.00595098i | ||||
\(581\) | −23.7484 | − | 36.8484i | −0.985251 | − | 1.52873i | ||||
\(582\) | −9.28706 | − | 14.4509i | −0.384961 | − | 0.599011i | ||||
\(583\) | −4.00586 | + | 5.62544i | −0.165906 | + | 0.232982i | ||||
\(584\) | −4.58049 | − | 23.7658i | −0.189542 | − | 0.983437i | ||||
\(585\) | 0.243507 | + | 0.472338i | 0.0100678 | + | 0.0195288i | ||||
\(586\) | 13.1107 | − | 5.24873i | 0.541598 | − | 0.216823i | ||||
\(587\) | 7.03164 | + | 1.01100i | 0.290227 | + | 0.0417283i | 0.285890 | − | 0.958262i | \(-0.407711\pi\) |
0.00433621 | + | 0.999991i | \(0.498620\pi\) | |||||||
\(588\) | 0.183823 | + | 1.87386i | 0.00758074 | + | 0.0772766i | ||||
\(589\) | 0.434920 | − | 0.376860i | 0.0179206 | − | 0.0155282i | ||||
\(590\) | −3.72454 | − | 2.65223i | −0.153337 | − | 0.109191i | ||||
\(591\) | 7.89157 | − | 0.375922i | 0.324616 | − | 0.0154634i | ||||
\(592\) | −22.7745 | − | 23.8852i | −0.936024 | − | 0.981674i | ||||
\(593\) | −2.62253 | + | 13.6070i | −0.107694 | + | 0.558771i | 0.887496 | + | 0.460815i | \(0.152443\pi\) |
−0.995191 | + | 0.0979566i | \(0.968769\pi\) | |||||||
\(594\) | 2.55870 | − | 0.751301i | 0.104985 | − | 0.0308263i | ||||
\(595\) | 4.89553 | − | 2.24337i | 0.200697 | − | 0.0919692i | ||||
\(596\) | −3.93512 | + | 0.565784i | −0.161189 | + | 0.0231754i | ||||
\(597\) | 10.4455 | − | 6.03073i | 0.427507 | − | 0.246822i | ||||
\(598\) | −2.90665 | + | 12.5306i | −0.118862 | + | 0.512415i | ||||
\(599\) | 1.17735 | − | 2.03923i | 0.0481052 | − | 0.0833207i | −0.840970 | − | 0.541081i | \(-0.818015\pi\) |
0.889075 | + | 0.457761i | \(0.151348\pi\) | |||||||
\(600\) | 9.10142 | + | 11.5734i | 0.371564 | + | 0.472482i | ||||
\(601\) | −5.41551 | − | 2.47318i | −0.220903 | − | 0.100883i | 0.301890 | − | 0.953343i | \(-0.402383\pi\) |
−0.522793 | + | 0.852460i | \(0.675110\pi\) | |||||||
\(602\) | 38.6997 | − | 3.74588i | 1.57728 | − | 0.152671i | ||||
\(603\) | −9.15115 | − | 7.92952i | −0.372664 | − | 0.322915i | ||||
\(604\) | 0.408800 | + | 1.68510i | 0.0166338 | + | 0.0685655i | ||||
\(605\) | −0.0854808 | − | 1.79446i | −0.00347529 | − | 0.0729553i | ||||
\(606\) | 4.93154 | + | 0.470905i | 0.200330 | + | 0.0191292i | ||||
\(607\) | 45.5190 | + | 15.7543i | 1.84756 | + | 0.639446i | 0.992704 | + | 0.120578i | \(0.0384748\pi\) |
0.854854 | + | 0.518868i | \(0.173646\pi\) | |||||||
\(608\) | 0.994107 | + | 0.638874i | 0.0403164 | + | 0.0259098i | ||||
\(609\) | −7.02478 | + | 1.36334i | −0.284658 | + | 0.0552453i | ||||
\(610\) | −0.445988 | + | 3.10192i | −0.0180575 | + | 0.125593i | ||||
\(611\) | 0.903363 | − | 18.9639i | 0.0365461 | − | 0.767198i | ||||
\(612\) | 2.06227 | − | 0.397471i | 0.0833625 | − | 0.0160668i | ||||
\(613\) | 0.459923 | − | 4.81653i | 0.0185761 | − | 0.194538i | −0.981420 | − | 0.191870i | \(-0.938545\pi\) |
0.999996 | − | 0.00266766i | \(-0.000849145\pi\) | |||||||
\(614\) | −17.8414 | + | 34.6074i | −0.720019 | + | 1.39664i | ||||
\(615\) | 1.84443 | + | 0.541573i | 0.0743746 | + | 0.0218383i | ||||
\(616\) | 14.8697 | + | 5.93062i | 0.599116 | + | 0.238951i | ||||
\(617\) | −8.01129 | − | 27.2839i | −0.322522 | − | 1.09841i | −0.948027 | − | 0.318190i | \(-0.896925\pi\) |
0.625505 | − | 0.780220i | \(-0.284893\pi\) | |||||||
\(618\) | 0.585728 | + | 6.13402i | 0.0235614 | + | 0.246747i | ||||
\(619\) | 29.1260 | + | 11.6603i | 1.17067 | + | 0.468667i | 0.873817 | − | 0.486255i | \(-0.161637\pi\) |
0.296857 | + | 0.954922i | \(0.404062\pi\) | |||||||
\(620\) | −0.0446746 | − | 0.0257929i | −0.00179418 | − | 0.00103587i | ||||
\(621\) | 0.179962 | − | 4.79245i | 0.00722164 | − | 0.192315i | ||||
\(622\) | 3.49789i | 0.140253i | ||||||||
\(623\) | −14.4441 | − | 0.669340i | −0.578692 | − | 0.0268165i | ||||
\(624\) | 2.87065 | − | 6.28585i | 0.114918 | − | 0.251635i | ||||
\(625\) | 17.3590 | + | 16.5518i | 0.694361 | + | 0.662072i | ||||
\(626\) | −4.66053 | − | 13.4657i | −0.186272 | − | 0.538199i | ||||
\(627\) | 1.14741 | − | 1.09405i | 0.0458230 | − | 0.0436922i | ||||
\(628\) | −3.80238 | − | 1.96026i | −0.151731 | − | 0.0782230i | ||||
\(629\) | −69.1517 | + | 31.5805i | −2.75726 | + | 1.25920i | ||||
\(630\) | 0.00117331 | + | 0.907390i | 4.67458e−5 | + | 0.0361513i | ||||
\(631\) | −24.4345 | + | 38.0209i | −0.972723 | + | 1.51359i | −0.118977 | + | 0.992897i | \(0.537962\pi\) |
−0.853746 | + | 0.520690i | \(0.825675\pi\) | |||||||
\(632\) | 10.0117 | + | 25.0079i | 0.398243 | + | 0.994763i | ||||
\(633\) | 8.83935 | − | 11.2401i | 0.351333 | − | 0.446756i | ||||
\(634\) | −4.80964 | + | 2.47954i | −0.191015 | + | 0.0984752i | ||||
\(635\) | 0.0830922 | − | 0.240079i | 0.00329741 | − | 0.00952724i | ||||
\(636\) | −0.380715 | − | 0.833649i | −0.0150963 | − | 0.0330563i | ||||
\(637\) | 10.7606 | − | 9.37298i | 0.426352 | − | 0.371371i | ||||
\(638\) | −2.03201 | + | 6.92040i | −0.0804481 | + | 0.273981i | ||||
\(639\) | −3.24725 | − | 0.625856i | −0.128459 | − | 0.0247585i | ||||
\(640\) | −0.523182 | + | 2.15659i | −0.0206806 | + | 0.0852465i | ||||
\(641\) | 19.0174 | − | 13.5423i | 0.751144 | − | 0.534887i | −0.139151 | − | 0.990271i | \(-0.544437\pi\) |
0.890295 | + | 0.455384i | \(0.150498\pi\) | |||||||
\(642\) | 17.9897 | − | 14.1472i | 0.709996 | − | 0.558347i | ||||
\(643\) | −1.40004 | −0.0552122 | −0.0276061 | − | 0.999619i | \(-0.508788\pi\) | ||||
−0.0276061 | + | 0.999619i | \(0.508788\pi\) | |||||||
\(644\) | 2.20557 | − | 2.60456i | 0.0869116 | − | 0.102634i | ||||
\(645\) | −2.91156 | −0.114643 | ||||||||
\(646\) | −6.31632 | + | 4.96721i | −0.248512 | + | 0.195432i | ||||
\(647\) | 25.7931 | − | 18.3672i | 1.01403 | − | 0.722089i | 0.0530200 | − | 0.998593i | \(-0.483115\pi\) |
0.961013 | + | 0.276504i | \(0.0891759\pi\) | |||||||
\(648\) | −0.703801 | + | 2.90111i | −0.0276479 | + | 0.113966i | ||||
\(649\) | −26.5339 | − | 5.11399i | −1.04155 | − | 0.200742i | ||||
\(650\) | 3.72695 | − | 12.6928i | 0.146183 | − | 0.497853i | ||||
\(651\) | 0.725798 | + | 1.80618i | 0.0284463 | + | 0.0707899i | ||||
\(652\) | 2.54300 | + | 5.56838i | 0.0995914 | + | 0.218075i | ||||
\(653\) | −4.53736 | + | 13.1098i | −0.177561 | + | 0.513027i | −0.998301 | − | 0.0582743i | \(-0.981440\pi\) |
0.820740 | + | 0.571302i | \(0.193561\pi\) | |||||||
\(654\) | 17.3142 | − | 8.92609i | 0.677038 | − | 0.349038i | ||||
\(655\) | 1.12667 | − | 1.43268i | 0.0440227 | − | 0.0559795i | ||||
\(656\) | −9.29042 | − | 23.2063i | −0.362730 | − | 0.906055i | ||||
\(657\) | 4.38329 | − | 6.82053i | 0.171008 | − | 0.266094i | ||||
\(658\) | 16.1726 | − | 28.0955i | 0.630472 | − | 1.09528i | ||||
\(659\) | −28.1598 | + | 12.8602i | −1.09695 | + | 0.500961i | −0.879881 | − | 0.475195i | \(-0.842378\pi\) |
−0.217071 | + | 0.976156i | \(0.569650\pi\) | |||||||
\(660\) | −0.126316 | − | 0.0651206i | −0.00491685 | − | 0.00253481i | ||||
\(661\) | −18.9673 | + | 18.0853i | −0.737743 | + | 0.703436i | −0.962591 | − | 0.270957i | \(-0.912660\pi\) |
0.224848 | + | 0.974394i | \(0.427811\pi\) | |||||||
\(662\) | 3.54345 | + | 10.2381i | 0.137720 | + | 0.397916i | ||||
\(663\) | −11.5203 | − | 10.9846i | −0.447412 | − | 0.426607i | ||||
\(664\) | 20.5479 | − | 44.9937i | 0.797415 | − | 1.74609i | ||||
\(665\) | 0.247813 | + | 0.479167i | 0.00960977 | + | 0.0185813i | ||||
\(666\) | − | 12.8097i | − | 0.496367i | ||||||
\(667\) | 10.6411 | + | 7.41723i | 0.412026 | + | 0.287196i | ||||
\(668\) | −2.10637 | − | 1.21611i | −0.0814977 | − | 0.0470527i | ||||
\(669\) | 3.55444 | + | 1.42298i | 0.137422 | + | 0.0550157i | ||||
\(670\) | −0.394751 | − | 4.13402i | −0.0152505 | − | 0.159711i | ||||
\(671\) | 5.21784 | + | 17.7703i | 0.201433 | + | 0.686016i | ||||
\(672\) | −3.13872 | + | 2.47489i | −0.121079 | + | 0.0954709i | ||||
\(673\) | −7.48493 | − | 2.19777i | −0.288523 | − | 0.0847180i | 0.134269 | − | 0.990945i | \(-0.457132\pi\) |
−0.422791 | + | 0.906227i | \(0.638950\pi\) | |||||||
\(674\) | 7.56943 | − | 14.6826i | 0.291563 | − | 0.565554i | ||||
\(675\) | −0.468821 | + | 4.90972i | −0.0180449 | + | 0.188975i | ||||
\(676\) | −2.33586 | + | 0.450200i | −0.0898408 | + | 0.0173154i | ||||
\(677\) | 0.0696933 | − | 1.46304i | 0.00267853 | − | 0.0562293i | −0.997132 | − | 0.0756777i | \(-0.975888\pi\) |
0.999811 | + | 0.0194484i | \(0.00619101\pi\) | |||||||
\(678\) | 1.37635 | − | 9.57275i | 0.0528585 | − | 0.367639i | ||||
\(679\) | 26.0770 | − | 22.6550i | 1.00074 | − | 0.869417i | ||||
\(680\) | 5.11153 | + | 3.28498i | 0.196018 | + | 0.125973i | ||||
\(681\) | 10.5735 | + | 3.65953i | 0.405178 | + | 0.140233i | ||||
\(682\) | 1.95310 | + | 0.186498i | 0.0747880 | + | 0.00714139i | ||||
\(683\) | 1.51637 | + | 31.8326i | 0.0580224 | + | 1.21804i | 0.820737 | + | 0.571306i | \(0.193563\pi\) |
−0.762715 | + | 0.646735i | \(0.776134\pi\) | |||||||
\(684\) | 0.0496020 | + | 0.204462i | 0.00189658 | + | 0.00781781i | ||||
\(685\) | 2.80790 | + | 2.43306i | 0.107284 | + | 0.0929625i | ||||
\(686\) | 23.6575 | − | 5.83650i | 0.903246 | − | 0.222839i | ||||
\(687\) | 9.92663 | + | 4.53334i | 0.378725 | + | 0.172958i | ||||
\(688\) | 23.4041 | + | 29.7608i | 0.892275 | + | 1.13462i | ||||
\(689\) | −3.47302 | + | 6.01544i | −0.132311 | + | 0.229170i | ||||
\(690\) | 1.17890 | − | 1.14696i | 0.0448800 | − | 0.0436639i | ||||
\(691\) | −7.39741 | + | 4.27090i | −0.281411 | + | 0.162473i | −0.634062 | − | 0.773282i | \(-0.718614\pi\) |
0.352651 | + | 0.935755i | \(0.385280\pi\) | |||||||
\(692\) | −4.62666 | + | 0.665213i | −0.175879 | + | 0.0252876i | ||||
\(693\) | 2.23401 | + | 4.87510i | 0.0848629 | + | 0.185190i | ||||
\(694\) | 8.28188 | − | 2.43178i | 0.314376 | − | 0.0923091i | ||||
\(695\) | −0.0610481 | + | 0.316748i | −0.00231569 | + | 0.0120149i | ||||
\(696\) | −5.57177 | − | 5.84350i | −0.211197 | − | 0.221497i | ||||
\(697\) | −57.5151 | + | 2.73978i | −2.17854 | + | 0.103777i | ||||
\(698\) | −31.7111 | − | 22.5814i | −1.20028 | − | 0.854717i | ||||
\(699\) | 12.3942 | − | 10.7396i | 0.468790 | − | 0.406209i | ||||
\(700\) | −2.41882 | + | 2.54336i | −0.0914229 | + | 0.0961301i | ||||
\(701\) | −44.8670 | − | 6.45091i | −1.69460 | − | 0.243647i | −0.773733 | − | 0.633512i | \(-0.781613\pi\) |
−0.920872 | + | 0.389865i | \(0.872522\pi\) | |||||||
\(702\) | 2.49006 | − | 0.996868i | 0.0939811 | − | 0.0376243i | ||||
\(703\) | −3.48965 | − | 6.76898i | −0.131615 | − | 0.255297i | ||||
\(704\) | 3.36293 | + | 17.4486i | 0.126745 | + | 0.657617i | ||||
\(705\) | −1.40814 | + | 1.97746i | −0.0530338 | + | 0.0744755i | ||||
\(706\) | −3.28549 | − | 5.11232i | −0.123651 | − | 0.192405i | ||||
\(707\) | 0.486883 | + | 9.95020i | 0.0183111 | + | 0.374216i | ||||
\(708\) | 2.34835 | − | 2.71014i | 0.0882564 | − | 0.101853i | ||||
\(709\) | −8.57209 | + | 8.99015i | −0.321932 | + | 0.337632i | −0.864736 | − | 0.502227i | \(-0.832514\pi\) |
0.542804 | + | 0.839859i | \(0.317363\pi\) | |||||||
\(710\) | −0.657887 | − | 0.923874i | −0.0246901 | − | 0.0346724i | ||||
\(711\) | −3.35371 | + | 8.37715i | −0.125774 | + | 0.314168i | ||||
\(712\) | −8.15755 | − | 14.1293i | −0.305717 | − | 0.529517i | ||||
\(713\) | 1.43338 | − | 3.22417i | 0.0536806 | − | 0.120746i | ||||
\(714\) | −8.92289 | − | 25.6735i | −0.333931 | − | 0.960808i | ||||
\(715\) | 0.153288 | + | 1.06614i | 0.00573264 | + | 0.0398714i | ||||
\(716\) | −3.86912 | + | 0.369456i | −0.144596 | + | 0.0138072i | ||||
\(717\) | −25.1852 | − | 6.10987i | −0.940560 | − | 0.228177i | ||||
\(718\) | −18.9686 | + | 6.56509i | −0.707901 | + | 0.245007i | ||||
\(719\) | −21.0836 | + | 5.11483i | −0.786286 | + | 0.190751i | −0.608749 | − | 0.793363i | \(-0.708328\pi\) |
−0.177538 | + | 0.984114i | \(0.556813\pi\) | |||||||
\(720\) | −0.743329 | + | 0.477709i | −0.0277022 | + | 0.0178031i | ||||
\(721\) | −12.0381 | + | 2.93691i | −0.448324 | + | 0.109376i | ||||
\(722\) | 15.8431 | + | 18.2839i | 0.589617 | + | 0.680455i | ||||
\(723\) | 2.49820 | + | 0.119004i | 0.0929090 | + | 0.00442580i | ||||
\(724\) | −1.19954 | − | 0.943326i | −0.0445804 | − | 0.0350584i | ||||
\(725\) | −10.4856 | − | 8.24594i | −0.389424 | − | 0.306246i | ||||
\(726\) | −9.05715 | − | 0.431445i | −0.336142 | − | 0.0160124i | ||||
\(727\) | −18.7222 | − | 21.6065i | −0.694367 | − | 0.801342i | 0.293613 | − | 0.955924i | \(-0.405142\pi\) |
−0.987980 | + | 0.154582i | \(0.950597\pi\) | |||||||
\(728\) | 15.4552 | + | 4.51636i | 0.572808 | + | 0.167387i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 2.70221 | − | 0.655548i | 0.100013 | − | 0.0242629i | ||||
\(731\) | 82.4162 | − | 28.5245i | 3.04827 | − | 1.05502i | ||||
\(732\) | −2.38852 | − | 0.579448i | −0.0882821 | − | 0.0214170i | ||||
\(733\) | 4.75424 | − | 0.453975i | 0.175602 | − | 0.0167679i | −0.00688465 | − | 0.999976i | \(-0.502191\pi\) |
0.182487 | + | 0.983208i | \(0.441585\pi\) | |||||||
\(734\) | −5.18409 | − | 36.0561i | −0.191348 | − | 1.33086i | ||||
\(735\) | −1.80545 | + | 0.264352i | −0.0665951 | + | 0.00975078i | ||||
\(736\) | 7.18159 | + | 0.958874i | 0.264717 | + | 0.0353446i | ||||
\(737\) | −12.2714 | − | 21.2547i | −0.452022 | − | 0.782926i | ||||
\(738\) | 3.60600 | − | 9.00736i | 0.132739 | − | 0.331566i | ||||
\(739\) | 1.99774 | + | 2.80543i | 0.0734879 | + | 0.103199i | 0.849684 | − | 0.527292i | \(-0.176793\pi\) |
−0.776196 | + | 0.630492i | \(0.782853\pi\) | |||||||
\(740\) | −0.471086 | + | 0.494060i | −0.0173174 | + | 0.0181620i | ||||
\(741\) | 1.04424 | − | 1.20512i | 0.0383610 | − | 0.0442710i | ||||
\(742\) | −9.96931 | + | 6.42512i | −0.365985 | + | 0.235873i | ||||
\(743\) | −6.74414 | − | 10.4941i | −0.247419 | − | 0.384991i | 0.695225 | − | 0.718792i | \(-0.255305\pi\) |
−0.942643 | + | 0.333802i | \(0.891668\pi\) | |||||||
\(744\) | −1.27400 | + | 1.78909i | −0.0467072 | + | 0.0655911i | ||||
\(745\) | −0.729147 | − | 3.78317i | −0.0267139 | − | 0.138605i | ||||
\(746\) | −5.86122 | − | 11.3692i | −0.214595 | − | 0.416255i | ||||
\(747\) | 15.3824 | − | 6.15819i | 0.562813 | − | 0.225316i | ||||
\(748\) | 4.21356 | + | 0.605818i | 0.154063 | + | 0.0221509i | ||||
\(749\) | 33.3490 | + | 31.7160i | 1.21855 | + | 1.15888i | ||||
\(750\) | −2.57432 | + | 2.23066i | −0.0940007 | + | 0.0814521i | ||||
\(751\) | 4.36584 | + | 3.10890i | 0.159312 | + | 0.113445i | 0.656933 | − | 0.753949i | \(-0.271854\pi\) |
−0.497621 | + | 0.867395i | \(0.665793\pi\) | |||||||
\(752\) | 31.5319 | − | 1.50205i | 1.14985 | − | 0.0547742i | ||||
\(753\) | −9.12634 | − | 9.57143i | −0.332582 | − | 0.348802i | ||||
\(754\) | −1.37290 | + | 7.12330i | −0.0499982 | + | 0.259415i | ||||
\(755\) | −1.61235 | + | 0.473429i | −0.0586795 | + | 0.0172299i | ||||
\(756\) | −0.708516 | − | 0.0667307i | −0.0257685 | − | 0.00242697i | ||||
\(757\) | −5.45875 | + | 0.784850i | −0.198402 | + | 0.0285258i | −0.240799 | − | 0.970575i | \(-0.577409\pi\) |
0.0423975 | + | 0.999101i | \(0.486500\pi\) | |||||||
\(758\) | 27.0488 | − | 15.6166i | 0.982458 | − | 0.567222i | ||||
\(759\) | 3.52173 | − | 9.06013i | 0.127831 | − | 0.328862i | ||||
\(760\) | −0.304340 | + | 0.527132i | −0.0110396 | + | 0.0191211i | ||||
\(761\) | −16.6849 | − | 21.2166i | −0.604828 | − | 0.769102i | 0.383151 | − | 0.923686i | \(-0.374839\pi\) |
−0.987980 | + | 0.154584i | \(0.950596\pi\) | |||||||
\(762\) | −1.16639 | − | 0.532674i | −0.0422540 | − | 0.0192967i | ||||
\(763\) | 22.7634 | + | 31.8794i | 0.824090 | + | 1.15411i | ||||
\(764\) | 0.0806567 | + | 0.0698894i | 0.00291806 | + | 0.00252851i | ||||
\(765\) | 0.479855 | + | 1.97799i | 0.0173492 | + | 0.0715144i | ||||
\(766\) | 2.09948 | + | 44.0735i | 0.0758573 | + | 1.59244i | ||||
\(767\) | −27.0559 | − | 2.58353i | −0.976932 | − | 0.0932857i | ||||
\(768\) | −5.98516 | − | 2.07148i | −0.215971 | − | 0.0747482i | ||||
\(769\) | 12.7098 | + | 8.16812i | 0.458328 | + | 0.294550i | 0.749359 | − | 0.662164i | \(-0.230362\pi\) |
−0.291031 | + | 0.956714i | \(0.593998\pi\) | |||||||
\(770\) | −0.599283 | + | 1.73879i | −0.0215967 | + | 0.0626615i | ||||
\(771\) | 1.34427 | − | 9.34959i | 0.0484126 | − | 0.336717i | ||||
\(772\) | 0.00798926 | − | 0.167715i | 0.000287540 | − | 0.00603620i | ||||
\(773\) | −3.99984 | + | 0.770906i | −0.143864 | + | 0.0277275i | −0.260675 | − | 0.965427i | \(-0.583945\pi\) |
0.116811 | + | 0.993154i | \(0.462733\pi\) | |||||||
\(774\) | −1.39689 | + | 14.6289i | −0.0502103 | + | 0.525826i | ||||
\(775\) | −1.66275 | + | 3.22528i | −0.0597276 | + | 0.115855i | ||||
\(776\) | 37.3974 | + | 10.9809i | 1.34249 | + | 0.394190i | ||||
\(777\) | 25.4926 | − | 3.69893i | 0.914541 | − | 0.132698i | ||||
\(778\) | 7.43900 | + | 25.3349i | 0.266701 | + | 0.908300i | ||||
\(779\) | −0.548301 | − | 5.74207i | −0.0196449 | − | 0.205731i | ||||
\(780\) | −0.132700 | − | 0.0531250i | −0.00475141 | − | 0.00190218i | ||||
\(781\) | −5.80487 | − | 3.35144i | −0.207714 | − | 0.119924i | ||||
\(782\) | −22.1339 | + | 44.0160i | −0.791505 | + | 1.57401i | ||||
\(783\) | − | 2.70466i | − | 0.0966566i | ||||||
\(784\) | 17.2149 | + | 16.3296i | 0.614819 | + | 0.583201i | ||||
\(785\) | 1.72223 | − | 3.77116i | 0.0614691 | − | 0.134599i | ||||
\(786\) | −6.65785 | − | 6.34824i | −0.237477 | − | 0.226434i | ||||
\(787\) | 16.0047 | + | 46.2427i | 0.570508 | + | 1.64837i | 0.747577 | + | 0.664175i | \(0.231217\pi\) |
−0.177069 | + | 0.984198i | \(0.556662\pi\) | |||||||
\(788\) | −1.53799 | + | 1.46647i | −0.0547886 | + | 0.0522408i | ||||
\(789\) | 17.6725 | + | 9.11080i | 0.629157 | + | 0.324353i | ||||
\(790\) | −2.81506 | + | 1.28559i | −0.100155 | + | 0.0457394i | ||||
\(791\) | 19.4481 | − | 0.0251476i | 0.691495 | − | 0.000894145i | ||||
\(792\) | −3.27127 | + | 5.09019i | −0.116239 | + | 0.180872i | ||||
\(793\) | 6.92332 | + | 17.2936i | 0.245854 | + | 0.614114i | ||||
\(794\) | −0.589569 | + | 0.749698i | −0.0209230 | + | 0.0266058i | ||||
\(795\) | 0.789432 | − | 0.406980i | 0.0279983 | − | 0.0144341i | ||||
\(796\) | −1.06110 | + | 3.06585i | −0.0376097 | + | 0.108666i | ||||
\(797\) | −10.7872 | − | 23.6207i | −0.382102 | − | 0.836687i | −0.998776 | − | 0.0494683i | \(-0.984247\pi\) |
0.616673 | − | 0.787219i | \(-0.288480\pi\) | |||||||
\(798\) | 2.52643 | − | 1.01522i | 0.0894348 | − | 0.0359385i | ||||
\(799\) | 20.4865 | − | 69.7706i | 0.724760 | − | 2.46831i | ||||
\(800\) | −7.31646 | − | 1.41013i | −0.258676 | − | 0.0498557i | ||||
\(801\) | 1.28848 | − | 5.31117i | 0.0455260 | − | 0.187661i | ||||
\(802\) | 9.58123 | − | 6.82276i | 0.338325 | − | 0.240920i | ||||
\(803\) | 12.9172 | − | 10.1582i | 0.455839 | − | 0.358475i | ||||
\(804\) | 3.25699 | 0.114865 | ||||||||
\(805\) | 2.62297 | + | 2.01493i | 0.0924475 | + | 0.0710169i | ||||
\(806\) | 1.97336 | 0.0695088 | ||||||||
\(807\) | −1.07274 | + | 0.843612i | −0.0377622 | + | 0.0296966i | ||||
\(808\) | −9.15620 | + | 6.52010i | −0.322114 | + | 0.229376i | ||||
\(809\) | 9.08986 | − | 37.4689i | 0.319582 | − | 1.31734i | −0.554753 | − | 0.832015i | \(-0.687187\pi\) |
0.874336 | − | 0.485322i | \(-0.161297\pi\) | |||||||
\(810\) | −0.336764 | − | 0.0649059i | −0.0118327 | − | 0.00228056i | ||||
\(811\) | −11.5690 | + | 39.4004i | −0.406243 | + | 1.38354i | 0.461773 | + | 0.886998i | \(0.347214\pi\) |
−0.868015 | + | 0.496537i | \(0.834605\pi\) | |||||||
\(812\) | 1.18786 | − | 1.51451i | 0.0416857 | − | 0.0531489i | ||||
\(813\) | 10.0476 | + | 22.0012i | 0.352385 | + | 0.771616i | ||||
\(814\) | 8.49188 | − | 24.5357i | 0.297640 | − | 0.859975i | ||||
\(815\) | −5.27303 | + | 2.71844i | −0.184706 | + | 0.0952227i | ||||
\(816\) | 16.3610 | − | 20.8046i | 0.572748 | − | 0.728308i | ||||
\(817\) | 3.24709 | + | 8.11083i | 0.113601 | + | 0.283762i | ||||
\(818\) | 15.9098 | − | 24.7561i | 0.556273 | − | 0.865577i | ||||
\(819\) | 2.70289 | + | 4.66759i | 0.0944465 | + | 0.163099i | ||||
\(820\) | −0.470332 | + | 0.214793i | −0.0164247 | + | 0.00750091i | ||||
\(821\) | 45.6136 | + | 23.5154i | 1.59192 | + | 0.820694i | 0.999891 | + | 0.0147810i | \(0.00470510\pi\) |
0.592034 | + | 0.805913i | \(0.298325\pi\) | |||||||
\(822\) | 13.5719 | − | 12.9408i | 0.473374 | − | 0.451361i | ||||
\(823\) | −13.1847 | − | 38.0947i | −0.459590 | − | 1.32790i | −0.902252 | − | 0.431210i | \(-0.858087\pi\) |
0.442662 | − | 0.896689i | \(-0.354034\pi\) | |||||||
\(824\) | −10.1187 | − | 9.64818i | −0.352502 | − | 0.336110i | ||||
\(825\) | −4.15275 | + | 9.09325i | −0.144580 | + | 0.316586i | ||||
\(826\) | −39.0736 | − | 25.0397i | −1.35954 | − | 0.871243i | ||||
\(827\) | 27.1025i | 0.942447i | 0.882014 | + | 0.471224i | \(0.156187\pi\) | ||||
−0.882014 | + | 0.471224i | \(0.843813\pi\) | |||||||
\(828\) | 0.807578 | + | 1.00591i | 0.0280653 | + | 0.0349579i | ||||
\(829\) | −7.34354 | − | 4.23980i | −0.255052 | − | 0.147254i | 0.367023 | − | 0.930212i | \(-0.380377\pi\) |
−0.622075 | + | 0.782957i | \(0.713710\pi\) | |||||||
\(830\) | 5.27557 | + | 2.11202i | 0.183118 | + | 0.0733093i | ||||
\(831\) | −0.491485 | − | 5.14707i | −0.0170494 | − | 0.178550i | ||||
\(832\) | 5.03534 | + | 17.1488i | 0.174569 | + | 0.594527i | ||||
\(833\) | 48.5162 | − | 25.1709i | 1.68099 | − | 0.872119i | ||||
\(834\) | 1.56219 | + | 0.458699i | 0.0540940 | + | 0.0158834i | ||||
\(835\) | 1.08009 | − | 2.09508i | 0.0373780 | − | 0.0725032i | ||||
\(836\) | −0.0405356 | + | 0.424508i | −0.00140195 | + | 0.0146819i | ||||
\(837\) | −0.722434 | + | 0.139238i | −0.0249710 | + | 0.00481276i | ||||
\(838\) | 1.27088 | − | 26.6790i | 0.0439017 | − | 0.921611i | ||||
\(839\) | 1.95097 | − | 13.5693i | 0.0673549 | − | 0.468464i | −0.928030 | − | 0.372505i | \(-0.878499\pi\) |
0.995385 | − | 0.0959593i | \(-0.0305919\pi\) | |||||||
\(840\) | −1.35027 | − | 1.55423i | −0.0465888 | − | 0.0536260i | ||||
\(841\) | −18.2424 | − | 11.7237i | −0.629050 | − | 0.404266i | ||||
\(842\) | −9.79179 | − | 3.38897i | −0.337447 | − | 0.116792i | ||||
\(843\) | 2.30685 | + | 0.220278i | 0.0794523 | + | 0.00758677i | ||||
\(844\) | 0.183012 | + | 3.84190i | 0.00629954 | + | 0.132244i | ||||
\(845\) | −0.543514 | − | 2.24040i | −0.0186975 | − | 0.0770720i | ||||
\(846\) | 9.26001 | + | 8.02385i | 0.318366 | + | 0.275866i | ||||
\(847\) | −1.75672 | − | 18.1492i | −0.0603616 | − | 0.623613i | ||||
\(848\) | −10.5057 | − | 4.79780i | −0.360768 | − | 0.164757i | ||||
\(849\) | −5.75714 | − | 7.32080i | −0.197585 | − | 0.251249i | ||||
\(850\) | 25.3336 | − | 43.8791i | 0.868935 | − | 1.50504i | ||||
\(851\) | −36.9919 | − | 28.4928i | −1.26807 | − | 0.976722i | ||||
\(852\) | 0.770344 | − | 0.444758i | 0.0263915 | − | 0.0152372i | ||||
\(853\) | −47.0218 | + | 6.76072i | −1.61000 | + | 0.231483i | −0.887808 | − | 0.460213i | \(-0.847773\pi\) |
−0.722189 | + | 0.691696i | \(0.756864\pi\) | |||||||
\(854\) | −2.98254 | + | 31.6673i | −0.102060 | + | 1.08363i | ||||
\(855\) | −0.195636 | + | 0.0574439i | −0.00669061 | + | 0.00196454i | ||||
\(856\) | −9.82745 | + | 50.9897i | −0.335895 | + | 1.74279i | ||||
\(857\) | −1.14828 | − | 1.20428i | −0.0392246 | − | 0.0411375i | 0.703829 | − | 0.710369i | \(-0.251472\pi\) |
−0.743054 | + | 0.669231i | \(0.766623\pi\) | |||||||
\(858\) | 5.43028 | − | 0.258676i | 0.185387 | − | 0.00883106i | ||||
\(859\) | 31.8081 | + | 22.6505i | 1.08528 | + | 0.772824i | 0.975250 | − | 0.221104i | \(-0.0709660\pi\) |
0.110030 | + | 0.993928i | \(0.464905\pi\) | |||||||
\(860\) | 0.591865 | − | 0.512854i | 0.0201824 | − | 0.0174882i | ||||
\(861\) | 18.9668 | + | 4.57533i | 0.646386 | + | 0.155927i | ||||
\(862\) | −13.6084 | − | 1.95659i | −0.463504 | − | 0.0666419i | ||||
\(863\) | −29.9100 | + | 11.9742i | −1.01815 | + | 0.407606i | −0.819876 | − | 0.572541i | \(-0.805958\pi\) |
−0.198274 | + | 0.980147i | \(0.563533\pi\) | |||||||
\(864\) | −0.692267 | − | 1.34281i | −0.0235514 | − | 0.0456833i | ||||
\(865\) | −0.857285 | − | 4.44802i | −0.0291486 | − | 0.151237i | ||||
\(866\) | 2.69871 | − | 3.78981i | 0.0917060 | − | 0.128783i | ||||
\(867\) | −23.7705 | − | 36.9876i | −0.807287 | − | 1.25616i | ||||
\(868\) | −0.465689 | − | 0.239318i | −0.0158065 | − | 0.00812297i | ||||
\(869\) | −11.9771 | + | 13.8223i | −0.406295 | + | 0.468889i | ||||
\(870\) | 0.640112 | − | 0.671331i | 0.0217018 | − | 0.0227602i | ||||
\(871\) | −14.3188 | − | 20.1079i | −0.485174 | − | 0.681331i | ||||
\(872\) | −16.4271 | + | 41.0328i | −0.556291 | + | 1.38955i | ||||
\(873\) | 6.52812 | + | 11.3070i | 0.220943 | + | 0.382685i | ||||
\(874\) | −4.50987 | − | 2.00497i | −0.152549 | − | 0.0678191i | ||||
\(875\) | −5.18258 | − | 4.47901i | −0.175203 | − | 0.151418i | ||||
\(876\) | 0.310356 | + | 2.15857i | 0.0104859 | + | 0.0729313i | ||||
\(877\) | 1.83067 | − | 0.174807i | 0.0618172 | − | 0.00590283i | −0.0641016 | − | 0.997943i | \(-0.520418\pi\) |
0.125919 | + | 0.992041i | \(0.459812\pi\) | |||||||
\(878\) | −39.8605 | − | 9.67004i | −1.34523 | − | 0.326348i | ||||
\(879\) | −10.1435 | + | 3.51069i | −0.342131 | + | 0.118413i | ||||
\(880\) | −1.74045 | + | 0.422229i | −0.0586706 | + | 0.0142333i | ||||
\(881\) | 0.510334 | − | 0.327971i | 0.0171936 | − | 0.0110496i | −0.532016 | − | 0.846734i | \(-0.678565\pi\) |
0.549209 | + | 0.835685i | \(0.314929\pi\) | |||||||
\(882\) | 0.462008 | + | 9.19818i | 0.0155566 | + | 0.309719i | ||||
\(883\) | 5.15698 | + | 5.95147i | 0.173546 | + | 0.200283i | 0.835859 | − | 0.548945i | \(-0.184970\pi\) |
−0.662312 | + | 0.749228i | \(0.730425\pi\) | |||||||
\(884\) | 4.27673 | + | 0.203726i | 0.143842 | + | 0.00685204i | ||||
\(885\) | 2.73175 | + | 2.14827i | 0.0918269 | + | 0.0722134i | ||||
\(886\) | 10.0482 | + | 7.90202i | 0.337577 | + | 0.265473i | ||||
\(887\) | 43.4732 | + | 2.07088i | 1.45969 | + | 0.0695334i | 0.762329 | − | 0.647190i | \(-0.224056\pi\) |
0.697358 | + | 0.716723i | \(0.254359\pi\) | |||||||
\(888\) | 19.0335 | + | 21.9659i | 0.638724 | + | 0.737126i | ||||
\(889\) | 0.723264 | − | 2.47505i | 0.0242575 | − | 0.0830104i | ||||
\(890\) | 1.57681 | − | 1.01336i | 0.0528549 | − | 0.0339678i | ||||
\(891\) | −1.96974 | + | 0.477853i | −0.0659886 | + | 0.0160087i | ||||
\(892\) | −0.973198 | + | 0.336827i | −0.0325851 | + | 0.0112778i | ||||
\(893\) | 7.07909 | + | 1.71737i | 0.236893 | + | 0.0574696i | ||||
\(894\) | −19.3581 | + | 1.84847i | −0.647432 | + | 0.0618222i | ||||
\(895\) | −0.536055 | − | 3.72834i | −0.0179183 | − | 0.124625i | ||||
\(896\) | −4.23404 | + | 22.1222i | −0.141449 | + | 0.739050i | ||||
\(897\) | 2.65990 | − | 9.40813i | 0.0888116 | − | 0.314128i | ||||
\(898\) | 10.1493 | + | 17.5791i | 0.338687 | + | 0.586624i | ||||
\(899\) | 0.739570 | − | 1.84736i | 0.0246660 | − | 0.0616128i | ||||
\(900\) | −0.769514 | − | 1.08063i | −0.0256505 | − | 0.0360210i | ||||
\(901\) | −18.3589 | + | 19.2542i | −0.611623 | + | 0.641452i | ||||
\(902\) | 12.8781 | − | 14.8621i | 0.428794 | − | 0.494855i | ||||
\(903\) | −29.5163 | + | 1.44429i | −0.982241 | + | 0.0480630i | ||||
\(904\) | 11.8637 | + | 18.4602i | 0.394580 | + | 0.613978i | ||||
\(905\) | 0.857843 | − | 1.20467i | 0.0285157 | − | 0.0400446i | ||||
\(906\) | 1.60514 | + | 8.32828i | 0.0533273 | + | 0.276689i | ||||
\(907\) | 9.45403 | + | 18.3383i | 0.313916 | + | 0.608912i | 0.992024 | − | 0.126050i | \(-0.0402301\pi\) |
−0.678108 | + | 0.734962i | \(0.737200\pi\) | |||||||
\(908\) | −2.79399 | + | 1.11855i | −0.0927220 | + | 0.0371203i | ||||
\(909\) | −3.72700 | − | 0.535861i | −0.123617 | − | 0.0177734i | ||||
\(910\) | −0.433789 | + | 1.79825i | −0.0143800 | + | 0.0596114i | ||||
\(911\) | −24.0873 | + | 20.8718i | −0.798048 | + | 0.691513i | −0.955167 | − | 0.296067i | \(-0.904325\pi\) |
0.157119 | + | 0.987580i | \(0.449779\pi\) | |||||||
\(912\) | 2.15976 | + | 1.53796i | 0.0715167 | + | 0.0509268i | ||||
\(913\) | 33.5458 | − | 1.59798i | 1.11020 | − | 0.0528855i | ||||
\(914\) | −16.0506 | − | 16.8334i | −0.530906 | − | 0.556798i | ||||
\(915\) | 0.450776 | − | 2.33885i | 0.0149022 | − | 0.0773199i | ||||
\(916\) | −2.81641 | + | 0.826973i | −0.0930569 | + | 0.0273240i | ||||
\(917\) | 10.7111 | − | 15.0829i | 0.353711 | − | 0.498080i | ||||
\(918\) | 10.1685 | − | 1.46201i | 0.335610 | − | 0.0482534i | ||||
\(919\) | −44.3832 | + | 25.6246i | −1.46407 | + | 0.845279i | −0.999196 | − | 0.0400996i | \(-0.987232\pi\) |
−0.464871 | + | 0.885379i | \(0.653899\pi\) | |||||||
\(920\) | −0.317333 | + | 3.71847i | −0.0104622 | + | 0.122594i | ||||
\(921\) | 14.7968 | − | 25.6287i | 0.487570 | − | 0.844495i | ||||
\(922\) | 17.0087 | + | 21.6284i | 0.560153 | + | 0.712292i | ||||
\(923\) | −6.13252 | − | 2.80063i | −0.201854 | − | 0.0921838i | ||||
\(924\) | −1.31285 | − | 0.597508i | −0.0431896 | − | 0.0196566i | ||||
\(925\) | 36.2906 | + | 31.4460i | 1.19323 | + | 1.03394i | ||||
\(926\) | 0.275773 | + | 1.13675i | 0.00906245 | + | 0.0373559i | ||||
\(927\) | −0.222847 | − | 4.67814i | −0.00731926 | − | 0.153650i | ||||
\(928\) | 4.06757 | + | 0.388406i | 0.133524 | + | 0.0127500i | ||||
\(929\) | 0.153098 | + | 0.0529877i | 0.00502298 | + | 0.00173847i | 0.329578 | − | 0.944128i | \(-0.393093\pi\) |
−0.324555 | + | 0.945867i | \(0.605215\pi\) | |||||||
\(930\) | −0.212271 | − | 0.136418i | −0.00696063 | − | 0.00447333i | ||||
\(931\) | 2.74992 | + | 4.73469i | 0.0901251 | + | 0.155173i | ||||
\(932\) | −0.627781 | + | 4.36631i | −0.0205636 | + | 0.143023i | ||||
\(933\) | 0.126502 | − | 2.65560i | 0.00414148 | − | 0.0869404i | ||||
\(934\) | −31.4317 | + | 6.05797i | −1.02848 | + | 0.198223i | ||||
\(935\) | −0.392146 | + | 4.10674i | −0.0128245 | + | 0.134305i | ||||
\(936\) | −2.78869 | + | 5.40930i | −0.0911510 | + | 0.176808i | ||||
\(937\) | 29.4090 | + | 8.63525i | 0.960749 | + | 0.282101i | 0.724255 | − | 0.689532i | \(-0.242184\pi\) |
0.236494 | + | 0.971633i | \(0.424002\pi\) | |||||||
\(938\) | −6.05252 | − | 41.7132i | −0.197622 | − | 1.36199i | ||||
\(939\) | 3.05129 | + | 10.3917i | 0.0995751 | + | 0.339122i | ||||
\(940\) | −0.0620689 | − | 0.650015i | −0.00202447 | − | 0.0212012i | ||||
\(941\) | 21.0511 | + | 8.42759i | 0.686246 | + | 0.274731i | 0.688469 | − | 0.725266i | \(-0.258283\pi\) |
−0.00222269 | + | 0.999998i | \(0.500708\pi\) | |||||||
\(942\) | −18.1216 | − | 10.4625i | −0.590435 | − | 0.340888i | ||||
\(943\) | −17.9906 | − | 30.4486i | −0.585854 | − | 0.991543i | ||||
\(944\) | − | 45.1914i | − | 1.47085i | ||||||
\(945\) | 0.0319251 | − | 0.688933i | 0.00103852 | − | 0.0224110i | ||||
\(946\) | −12.3735 | + | 27.0941i | −0.402296 | + | 0.880906i | ||||
\(947\) | −18.4011 | − | 17.5454i | −0.597955 | − | 0.570149i | 0.329466 | − | 0.944167i | \(-0.393131\pi\) |
−0.927421 | + | 0.374018i | \(0.877980\pi\) | |||||||
\(948\) | −0.793839 | − | 2.29365i | −0.0257827 | − | 0.0744942i | ||||
\(949\) | 11.9621 | − | 11.4059i | 0.388307 | − | 0.370250i | ||||
\(950\) | 4.51142 | + | 2.32580i | 0.146370 | + | 0.0754588i | ||||
\(951\) | 3.74116 | − | 1.70853i | 0.121315 | − | 0.0554028i | ||||
\(952\) | 53.4482 | + | 30.7663i | 1.73227 | + | 0.997140i | ||||
\(953\) | 29.1901 | − | 45.4207i | 0.945560 | − | 1.47132i | 0.0647205 | − | 0.997903i | \(-0.479384\pi\) |
0.880839 | − | 0.473416i | \(-0.156979\pi\) | |||||||
\(954\) | −1.66609 | − | 4.16170i | −0.0539417 | − | 0.134740i | ||||
\(955\) | −0.0639349 | + | 0.0812999i | −0.00206889 | + | 0.00263080i | ||||
\(956\) | 6.19589 | − | 3.19420i | 0.200389 | − | 0.103308i | ||||
\(957\) | 1.79298 | − | 5.18048i | 0.0579589 | − | 0.167461i | ||||
\(958\) | −8.39584 | − | 18.3843i | −0.271257 | − | 0.593971i | ||||
\(959\) | 29.6724 | + | 23.2726i | 0.958170 | + | 0.751510i | ||||
\(960\) | 0.643850 | − | 2.19275i | 0.0207802 | − | 0.0707708i | ||||
\(961\) | 29.9083 | + | 5.76435i | 0.964783 | + | 0.185947i | ||||
\(962\) | 6.15667 | − | 25.3781i | 0.198499 | − | 0.818224i | ||||
\(963\) | −14.1694 | + | 10.0900i | −0.456603 | + | 0.325146i | ||||
\(964\) | −0.528797 | + | 0.415851i | −0.0170314 | + | 0.0133936i | ||||
\(965\) | 0.162720 | 0.00523813 | ||||||||
\(966\) | 11.3823 | − | 12.2122i | 0.366219 | − | 0.392921i | ||||
\(967\) | −18.9682 | −0.609977 | −0.304989 | − | 0.952356i | \(-0.598653\pi\) | ||||
−0.304989 | + | 0.952356i | \(0.598653\pi\) | |||||||
\(968\) | 16.1721 | − | 12.7179i | 0.519791 | − | 0.408768i | ||||
\(969\) | 4.97499 | − | 3.54268i | 0.159820 | − | 0.113807i | ||||
\(970\) | −1.05568 | + | 4.35156i | −0.0338958 | + | 0.139720i | ||||
\(971\) | −47.5424 | − | 9.16305i | −1.52571 | − | 0.294056i | −0.643696 | − | 0.765282i | \(-0.722600\pi\) |
−0.882013 | + | 0.471225i | \(0.843812\pi\) | |||||||
\(972\) | 0.0757801 | − | 0.258083i | 0.00243065 | − | 0.00827803i | ||||
\(973\) | −0.461758 | + | 3.24135i | −0.0148033 | + | 0.103913i | ||||
\(974\) | 2.39154 | + | 5.23674i | 0.0766298 | + | 0.167796i | ||||
\(975\) | −3.28854 | + | 9.50161i | −0.105318 | + | 0.304295i | ||||
\(976\) | −27.5302 | + | 14.1928i | −0.881221 | + | 0.454301i | ||||
\(977\) | −11.7489 | + | 14.9399i | −0.375880 | + | 0.477970i | −0.936783 | − | 0.349911i | \(-0.886212\pi\) |
0.560903 | + | 0.827882i | \(0.310454\pi\) | |||||||
\(978\) | 11.1287 | + | 27.7982i | 0.355857 | + | 0.888888i | ||||
\(979\) | 5.98884 | − | 9.31882i | 0.191404 | − | 0.297831i | ||||
\(980\) | 0.320450 | − | 0.371757i | 0.0102364 | − | 0.0118753i | ||||
\(981\) | −13.4678 | + | 6.15052i | −0.429992 | + | 0.196371i | ||||
\(982\) | −19.1348 | − | 9.86465i | −0.610614 | − | 0.314794i | ||||
\(983\) | −29.1298 | + | 27.7752i | −0.929095 | + | 0.885891i | −0.993706 | − | 0.112020i | \(-0.964268\pi\) |
0.0646106 | + | 0.997911i | \(0.479419\pi\) | |||||||
\(984\) | 7.20022 | + | 20.8037i | 0.229535 | + | 0.663197i | ||||
\(985\) | −1.49049 | − | 1.42118i | −0.0474909 | − | 0.0452825i | ||||
\(986\) | −11.5423 | + | 25.2742i | −0.367583 | + | 0.804894i | ||||
\(987\) | −13.2943 | + | 20.7453i | −0.423162 | + | 0.660329i | ||||
\(988\) | 0.428913i | 0.0136455i | ||||||||
\(989\) | 39.1383 | + | 36.5732i | 1.24453 | + | 1.16296i | ||||
\(990\) | −0.602007 | − | 0.347569i | −0.0191330 | − | 0.0110465i | ||||
\(991\) | 31.1457 | + | 12.4688i | 0.989375 | + | 0.396086i | 0.809190 | − | 0.587547i | \(-0.199906\pi\) |
0.180185 | + | 0.983633i | \(0.442330\pi\) | |||||||
\(992\) | −0.105655 | − | 1.10647i | −0.00335456 | − | 0.0351305i | ||||
\(993\) | −2.31993 | − | 7.90094i | −0.0736206 | − | 0.250729i | ||||
\(994\) | −7.12770 | − | 9.03953i | −0.226077 | − | 0.286716i | ||||
\(995\) | −3.01673 | − | 0.885791i | −0.0956367 | − | 0.0280815i | ||||
\(996\) | −2.04222 | + | 3.96136i | −0.0647103 | + | 0.125520i | ||||
\(997\) | 4.61892 | − | 48.3715i | 0.146283 | − | 1.53194i | −0.562667 | − | 0.826683i | \(-0.690225\pi\) |
0.708950 | − | 0.705259i | \(-0.249169\pi\) | |||||||
\(998\) | −20.9310 | + | 4.03412i | −0.662559 | + | 0.127698i | ||||
\(999\) | −0.463266 | + | 9.72516i | −0.0146571 | + | 0.307690i |
(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 | 483.2.bf.a.388.11 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.250.22 | yes | 640 | |
23.15 | odd | 22 | inner | 483.2.bf.a.199.22 | yes | 640 | |
161.61 | even | 66 | inner | 483.2.bf.a.61.11 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.11 | ✓ | 640 | 161.61 | even | 66 | inner | |
483.2.bf.a.199.22 | yes | 640 | 23.15 | odd | 22 | inner | |
483.2.bf.a.250.22 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.388.11 | yes | 640 | 1.1 | even | 1 | trivial |