Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(11,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 44, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 966.11 |
Dual form | 966.2.bf.a.527.3 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458227 | + | 0.888835i | −0.324015 | + | 0.628502i | ||||
\(3\) | −1.61819 | + | 0.617630i | −0.934261 | + | 0.356589i | ||||
\(4\) | −0.580057 | − | 0.814576i | −0.290028 | − | 0.407288i | ||||
\(5\) | 2.31266 | + | 2.20512i | 1.03425 | + | 0.986160i | 0.999912 | − | 0.0132505i | \(-0.00421789\pi\) |
0.0343422 | + | 0.999410i | \(0.489066\pi\) | |||||||
\(6\) | 0.192526 | − | 1.72132i | 0.0785983 | − | 0.702725i | ||||
\(7\) | −1.37219 | − | 2.26210i | −0.518640 | − | 0.854993i | ||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | 2.23707 | − | 1.99888i | 0.745689 | − | 0.666294i | ||||
\(10\) | −3.01971 | + | 1.04513i | −0.954917 | + | 0.330500i | ||||
\(11\) | −1.69584 | + | 0.874266i | −0.511315 | + | 0.263601i | −0.694520 | − | 0.719474i | \(-0.744383\pi\) |
0.183205 | + | 0.983075i | \(0.441353\pi\) | |||||||
\(12\) | 1.44175 | + | 0.959877i | 0.416197 | + | 0.277093i | ||||
\(13\) | −0.556301 | + | 0.642006i | −0.154290 | + | 0.178060i | −0.827632 | − | 0.561271i | \(-0.810313\pi\) |
0.673342 | + | 0.739331i | \(0.264858\pi\) | |||||||
\(14\) | 2.63941 | − | 0.183101i | 0.705411 | − | 0.0489358i | ||||
\(15\) | −5.10427 | − | 2.13993i | −1.31792 | − | 0.552528i | ||||
\(16\) | −0.327068 | + | 0.945001i | −0.0817670 | + | 0.236250i | ||||
\(17\) | −1.87312 | − | 0.178862i | −0.454299 | − | 0.0433803i | −0.134601 | − | 0.990900i | \(-0.542975\pi\) |
−0.319698 | + | 0.947520i | \(0.603581\pi\) | |||||||
\(18\) | 0.751594 | + | 2.90433i | 0.177152 | + | 0.684556i | ||||
\(19\) | 0.145322 | + | 1.52188i | 0.0333391 | + | 0.349143i | 0.996715 | + | 0.0809886i | \(0.0258077\pi\) |
−0.963376 | + | 0.268155i | \(0.913586\pi\) | |||||||
\(20\) | 0.454761 | − | 3.16293i | 0.101688 | − | 0.707254i | ||||
\(21\) | 3.61761 | + | 2.81299i | 0.789426 | + | 0.613845i | ||||
\(22\) | − | 1.90793i | − | 0.406773i | ||||||
\(23\) | −4.77323 | + | 0.465015i | −0.995288 | + | 0.0969624i | ||||
\(24\) | −1.51382 | + | 0.841635i | −0.309007 | + | 0.171798i | ||||
\(25\) | 0.247948 | + | 5.20506i | 0.0495895 | + | 1.04101i | ||||
\(26\) | −0.315726 | − | 0.788645i | −0.0619189 | − | 0.154666i | ||||
\(27\) | −2.38543 | + | 4.61625i | −0.459076 | + | 0.888397i | ||||
\(28\) | −1.04670 | + | 2.42990i | −0.197808 | + | 0.459208i | ||||
\(29\) | −7.26893 | + | 3.31961i | −1.34981 | + | 0.616436i | −0.953419 | − | 0.301648i | \(-0.902463\pi\) |
−0.396387 | + | 0.918084i | \(0.629736\pi\) | |||||||
\(30\) | 4.24096 | − | 3.55629i | 0.774290 | − | 0.649286i | ||||
\(31\) | −3.75319 | − | 1.50255i | −0.674092 | − | 0.269866i | 0.00925726 | − | 0.999957i | \(-0.497053\pi\) |
−0.683350 | + | 0.730091i | \(0.739478\pi\) | |||||||
\(32\) | −0.690079 | − | 0.723734i | −0.121990 | − | 0.127939i | ||||
\(33\) | 2.20422 | − | 2.46213i | 0.383705 | − | 0.428602i | ||||
\(34\) | 1.01729 | − | 1.58294i | 0.174464 | − | 0.271472i | ||||
\(35\) | 1.81478 | − | 8.25732i | 0.306753 | − | 1.39574i | ||||
\(36\) | −2.92587 | − | 0.662796i | −0.487645 | − | 0.110466i | ||||
\(37\) | 1.54941 | − | 0.375882i | 0.254721 | − | 0.0617946i | −0.106365 | − | 0.994327i | \(-0.533921\pi\) |
0.361086 | + | 0.932533i | \(0.382406\pi\) | |||||||
\(38\) | −1.41929 | − | 0.568198i | −0.230239 | − | 0.0921739i | ||||
\(39\) | 0.503679 | − | 1.38248i | 0.0806531 | − | 0.221373i | ||||
\(40\) | 2.60294 | + | 1.85355i | 0.411562 | + | 0.293072i | ||||
\(41\) | 1.15245 | + | 3.92489i | 0.179983 | + | 0.612965i | 0.999219 | + | 0.0395090i | \(0.0125794\pi\) |
−0.819236 | + | 0.573456i | \(0.805602\pi\) | |||||||
\(42\) | −4.15797 | + | 1.92647i | −0.641589 | + | 0.297261i | ||||
\(43\) | −4.66844 | − | 0.671220i | −0.711930 | − | 0.102360i | −0.223172 | − | 0.974779i | \(-0.571641\pi\) |
−0.488759 | + | 0.872419i | \(0.662550\pi\) | |||||||
\(44\) | 1.69584 | + | 0.874266i | 0.255658 | + | 0.131801i | ||||
\(45\) | 9.58136 | + | 0.310260i | 1.42830 | + | 0.0462508i | ||||
\(46\) | 1.77390 | − | 4.45570i | 0.261547 | − | 0.656957i | ||||
\(47\) | −0.852294 | + | 0.492072i | −0.124320 | + | 0.0717761i | −0.560870 | − | 0.827904i | \(-0.689533\pi\) |
0.436550 | + | 0.899680i | \(0.356200\pi\) | |||||||
\(48\) | −0.0544030 | − | 1.73120i | −0.00785239 | − | 0.249877i | ||||
\(49\) | −3.23417 | + | 6.20807i | −0.462024 | + | 0.886867i | ||||
\(50\) | −4.74006 | − | 2.16471i | −0.670346 | − | 0.306137i | ||||
\(51\) | 3.14154 | − | 0.867464i | 0.439903 | − | 0.121469i | ||||
\(52\) | 0.845649 | + | 0.0807497i | 0.117270 | + | 0.0111980i | ||||
\(53\) | 2.66049 | − | 0.512768i | 0.365447 | − | 0.0704341i | −0.00322233 | − | 0.999995i | \(-0.501026\pi\) |
0.368669 | + | 0.929561i | \(0.379814\pi\) | |||||||
\(54\) | −3.01002 | − | 4.23554i | −0.409612 | − | 0.576384i | ||||
\(55\) | −5.84977 | − | 1.71765i | −0.788783 | − | 0.231608i | ||||
\(56\) | −1.68016 | − | 2.04379i | −0.224520 | − | 0.273113i | ||||
\(57\) | −1.17512 | − | 2.37293i | −0.155648 | − | 0.314303i | ||||
\(58\) | 0.380230 | − | 7.98201i | 0.0499267 | − | 1.04809i | ||||
\(59\) | 4.18574 | − | 1.44870i | 0.544937 | − | 0.188605i | −0.0407094 | − | 0.999171i | \(-0.512962\pi\) |
0.585647 | + | 0.810566i | \(0.300841\pi\) | |||||||
\(60\) | 1.21763 | + | 5.39910i | 0.157196 | + | 0.697021i | ||||
\(61\) | −1.48888 | − | 1.89327i | −0.190632 | − | 0.242408i | 0.681337 | − | 0.731970i | \(-0.261399\pi\) |
−0.871968 | + | 0.489562i | \(0.837157\pi\) | |||||||
\(62\) | 3.05533 | − | 2.64746i | 0.388027 | − | 0.336228i | ||||
\(63\) | −7.59136 | − | 2.31761i | −0.956421 | − | 0.291992i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −2.70224 | + | 0.258032i | −0.335171 | + | 0.0320050i | ||||
\(66\) | 1.17840 | + | 3.08740i | 0.145051 | + | 0.380032i | ||||
\(67\) | −9.77679 | + | 0.465726i | −1.19442 | + | 0.0568975i | −0.635353 | − | 0.772222i | \(-0.719145\pi\) |
−0.559072 | + | 0.829119i | \(0.688842\pi\) | |||||||
\(68\) | 0.940821 | + | 1.62955i | 0.114091 | + | 0.197612i | ||||
\(69\) | 7.43678 | − | 3.70057i | 0.895284 | − | 0.445497i | ||||
\(70\) | 6.50782 | + | 5.39676i | 0.777833 | + | 0.645036i | ||||
\(71\) | −7.26934 | − | 11.3113i | −0.862712 | − | 1.34241i | −0.938499 | − | 0.345282i | \(-0.887783\pi\) |
0.0757872 | − | 0.997124i | \(-0.475853\pi\) | |||||||
\(72\) | 1.92983 | − | 2.29690i | 0.227432 | − | 0.270693i | ||||
\(73\) | −6.64492 | − | 9.33149i | −0.777729 | − | 1.09217i | −0.993287 | − | 0.115677i | \(-0.963096\pi\) |
0.215557 | − | 0.976491i | \(-0.430843\pi\) | |||||||
\(74\) | −0.375882 | + | 1.54941i | −0.0436954 | + | 0.180115i | ||||
\(75\) | −3.61603 | − | 8.26963i | −0.417543 | − | 0.954895i | ||||
\(76\) | 1.15539 | − | 1.00115i | 0.132533 | − | 0.114840i | ||||
\(77\) | 4.30470 | + | 2.63649i | 0.490566 | + | 0.300456i | ||||
\(78\) | 0.997994 | + | 1.08117i | 0.113001 | + | 0.122419i | ||||
\(79\) | 2.20306 | − | 11.4306i | 0.247864 | − | 1.28604i | −0.618165 | − | 0.786048i | \(-0.712124\pi\) |
0.866029 | − | 0.499993i | \(-0.166664\pi\) | |||||||
\(80\) | −2.84024 | + | 1.46424i | −0.317548 | + | 0.163708i | ||||
\(81\) | 1.00894 | − | 8.94327i | 0.112104 | − | 0.993696i | ||||
\(82\) | −4.01667 | − | 0.774149i | −0.443566 | − | 0.0854904i | ||||
\(83\) | 5.62112 | + | 1.65051i | 0.616998 | + | 0.181167i | 0.575272 | − | 0.817962i | \(-0.304896\pi\) |
0.0417259 | + | 0.999129i | \(0.486714\pi\) | |||||||
\(84\) | 0.192979 | − | 4.57851i | 0.0210557 | − | 0.499556i | ||||
\(85\) | −3.93749 | − | 4.54411i | −0.427081 | − | 0.492878i | ||||
\(86\) | 2.73581 | − | 3.84190i | 0.295010 | − | 0.414283i | ||||
\(87\) | 9.71220 | − | 9.86126i | 1.04126 | − | 1.05724i | ||||
\(88\) | −1.55416 | + | 1.10671i | −0.165674 | + | 0.117976i | ||||
\(89\) | 5.85957 | − | 2.34582i | 0.621113 | − | 0.248656i | −0.0396941 | − | 0.999212i | \(-0.512638\pi\) |
0.660807 | + | 0.750556i | \(0.270214\pi\) | |||||||
\(90\) | −4.66620 | + | 8.37408i | −0.491861 | + | 0.882706i | ||||
\(91\) | 2.21563 | + | 0.377452i | 0.232262 | + | 0.0395677i | ||||
\(92\) | 3.14754 | + | 3.61843i | 0.328153 | + | 0.377247i | ||||
\(93\) | 7.00138 | + | 0.113328i | 0.726010 | + | 0.0117516i | ||||
\(94\) | −0.0468275 | − | 0.983030i | −0.00482989 | − | 0.101392i | ||||
\(95\) | −3.01985 | + | 3.84005i | −0.309830 | + | 0.393981i | ||||
\(96\) | 1.56368 | + | 0.744925i | 0.159592 | + | 0.0760286i | ||||
\(97\) | 0.973402 | + | 3.31510i | 0.0988340 | + | 0.336598i | 0.994035 | − | 0.109066i | \(-0.0347859\pi\) |
−0.895201 | + | 0.445664i | \(0.852968\pi\) | |||||||
\(98\) | −4.03597 | − | 5.71935i | −0.407695 | − | 0.577741i | ||||
\(99\) | −2.04615 | + | 5.34558i | −0.205646 | + | 0.537251i | ||||
\(100\) | 4.09610 | − | 3.22120i | 0.409610 | − | 0.322120i | ||||
\(101\) | −5.22174 | − | 5.47640i | −0.519582 | − | 0.544922i | 0.410698 | − | 0.911771i | \(-0.365285\pi\) |
−0.930280 | + | 0.366849i | \(0.880437\pi\) | |||||||
\(102\) | −0.668502 | + | 3.18980i | −0.0661915 | + | 0.315838i | ||||
\(103\) | −14.1382 | − | 0.673487i | −1.39308 | − | 0.0663606i | −0.662436 | − | 0.749118i | \(-0.730477\pi\) |
−0.730645 | + | 0.682758i | \(0.760780\pi\) | |||||||
\(104\) | −0.459272 | + | 0.714641i | −0.0450353 | + | 0.0700763i | ||||
\(105\) | 2.16332 | + | 14.4828i | 0.211118 | + | 1.41337i | ||||
\(106\) | −0.763342 | + | 2.59970i | −0.0741423 | + | 0.252506i | ||||
\(107\) | −14.0650 | + | 11.0609i | −1.35972 | + | 1.06929i | −0.369581 | + | 0.929199i | \(0.620499\pi\) |
−0.990138 | + | 0.140096i | \(0.955259\pi\) | |||||||
\(108\) | 5.14397 | − | 0.734575i | 0.494978 | − | 0.0706845i | ||||
\(109\) | −0.107336 | + | 1.12407i | −0.0102809 | + | 0.107666i | −0.999156 | − | 0.0410837i | \(-0.986919\pi\) |
0.988875 | + | 0.148750i | \(0.0475250\pi\) | |||||||
\(110\) | 4.20723 | − | 4.41241i | 0.401143 | − | 0.420707i | ||||
\(111\) | −2.27508 | + | 1.56521i | −0.215941 | + | 0.148563i | ||||
\(112\) | 2.58648 | − | 0.556864i | 0.244400 | − | 0.0526187i | ||||
\(113\) | −6.07817 | + | 3.90620i | −0.571786 | + | 0.367464i | −0.794356 | − | 0.607452i | \(-0.792192\pi\) |
0.222570 | + | 0.974917i | \(0.428555\pi\) | |||||||
\(114\) | 2.64762 | + | 0.0428558i | 0.247972 | + | 0.00401381i | ||||
\(115\) | −12.0643 | − | 9.45013i | −1.12500 | − | 0.881229i | ||||
\(116\) | 6.92046 | + | 3.99553i | 0.642549 | + | 0.370976i | ||||
\(117\) | 0.0388109 | + | 2.54819i | 0.00358807 | + | 0.235580i | ||||
\(118\) | −0.630363 | + | 4.38427i | −0.0580296 | + | 0.403605i | ||||
\(119\) | 2.16568 | + | 4.48262i | 0.198528 | + | 0.410921i | ||||
\(120\) | −5.35686 | − | 1.39173i | −0.489012 | − | 0.127047i | ||||
\(121\) | −4.26909 | + | 5.99510i | −0.388099 | + | 0.545009i | ||||
\(122\) | 2.36505 | − | 0.455826i | 0.214121 | − | 0.0412685i | ||||
\(123\) | −4.28901 | − | 5.63942i | −0.386727 | − | 0.508490i | ||||
\(124\) | 0.953122 | + | 3.92882i | 0.0855928 | + | 0.352819i | ||||
\(125\) | −0.441462 | + | 0.509474i | −0.0394855 | + | 0.0455687i | ||||
\(126\) | 5.53854 | − | 5.68547i | 0.493412 | − | 0.506502i | ||||
\(127\) | 5.24986 | + | 3.37388i | 0.465850 | + | 0.299384i | 0.752429 | − | 0.658673i | \(-0.228882\pi\) |
−0.286579 | + | 0.958057i | \(0.592518\pi\) | |||||||
\(128\) | −0.189251 | + | 0.981929i | −0.0167276 | + | 0.0867911i | ||||
\(129\) | 7.96898 | − | 1.79721i | 0.701630 | − | 0.158235i | ||||
\(130\) | 1.00889 | − | 2.52008i | 0.0884854 | − | 0.221026i | ||||
\(131\) | 16.9806 | + | 5.87703i | 1.48360 | + | 0.513478i | 0.944428 | − | 0.328719i | \(-0.106617\pi\) |
0.539170 | + | 0.842197i | \(0.318738\pi\) | |||||||
\(132\) | −3.28416 | − | 0.367326i | −0.285850 | − | 0.0319717i | ||||
\(133\) | 3.24323 | − | 2.41705i | 0.281224 | − | 0.209584i | ||||
\(134\) | 4.06603 | − | 8.90336i | 0.351252 | − | 0.769134i | ||||
\(135\) | −15.6961 | + | 5.41567i | −1.35090 | + | 0.466107i | ||||
\(136\) | −1.87951 | + | 0.0895322i | −0.161167 | + | 0.00767732i | ||||
\(137\) | 3.06707 | − | 5.31232i | 0.262037 | − | 0.453862i | −0.704746 | − | 0.709460i | \(-0.748939\pi\) |
0.966783 | + | 0.255598i | \(0.0822723\pi\) | |||||||
\(138\) | −0.118531 | + | 8.30578i | −0.0100900 | + | 0.707035i | ||||
\(139\) | 8.51413 | 0.722159 | 0.361079 | − | 0.932535i | \(-0.382408\pi\) | ||||
0.361079 | + | 0.932535i | \(0.382408\pi\) | |||||||
\(140\) | −7.77889 | + | 3.31144i | −0.657436 | + | 0.279868i | ||||
\(141\) | 1.07525 | − | 1.32267i | 0.0905527 | − | 0.111389i | ||||
\(142\) | 13.3849 | − | 1.27810i | 1.12324 | − | 0.107256i | ||||
\(143\) | 0.382114 | − | 1.57510i | 0.0319540 | − | 0.131716i | ||||
\(144\) | 1.15727 | + | 2.76780i | 0.0964394 | + | 0.230650i | ||||
\(145\) | −24.1307 | − | 8.35172i | −2.00395 | − | 0.693573i | ||||
\(146\) | 11.3390 | − | 1.63031i | 0.938426 | − | 0.134925i | ||||
\(147\) | 1.39921 | − | 12.0433i | 0.115405 | − | 0.993319i | ||||
\(148\) | −1.20493 | − | 1.04408i | −0.0990446 | − | 0.0858226i | ||||
\(149\) | −0.948813 | + | 19.9180i | −0.0777298 | + | 1.63175i | 0.537403 | + | 0.843326i | \(0.319406\pi\) |
−0.615132 | + | 0.788424i | \(0.710897\pi\) | |||||||
\(150\) | 9.00730 | + | 0.575312i | 0.735443 | + | 0.0469740i | ||||
\(151\) | 6.56760 | + | 18.9758i | 0.534464 | + | 1.54423i | 0.812084 | + | 0.583541i | \(0.198333\pi\) |
−0.277620 | + | 0.960691i | \(0.589546\pi\) | |||||||
\(152\) | 0.360429 | + | 1.48571i | 0.0292346 | + | 0.120507i | ||||
\(153\) | −4.54782 | + | 3.34403i | −0.367670 | + | 0.270348i | ||||
\(154\) | −4.31593 | + | 2.61806i | −0.347788 | + | 0.210969i | ||||
\(155\) | −5.36656 | − | 11.7511i | −0.431052 | − | 0.943873i | ||||
\(156\) | −1.41829 | + | 0.391630i | −0.113554 | + | 0.0313555i | ||||
\(157\) | 9.85322 | − | 7.01645i | 0.786373 | − | 0.559974i | −0.114823 | − | 0.993386i | \(-0.536630\pi\) |
0.901196 | + | 0.433412i | \(0.142691\pi\) | |||||||
\(158\) | 9.15040 | + | 7.19596i | 0.727967 | + | 0.572480i | ||||
\(159\) | −3.98848 | + | 2.47295i | −0.316307 | + | 0.196118i | ||||
\(160\) | − | 3.19546i | − | 0.252623i | ||||||
\(161\) | 7.60171 | + | 10.1594i | 0.599099 | + | 0.800675i | ||||
\(162\) | 7.48677 | + | 4.99482i | 0.588216 | + | 0.392430i | ||||
\(163\) | −4.98284 | − | 2.56883i | −0.390286 | − | 0.201207i | 0.251903 | − | 0.967752i | \(-0.418944\pi\) |
−0.642190 | + | 0.766546i | \(0.721974\pi\) | |||||||
\(164\) | 2.52863 | − | 3.21542i | 0.197453 | − | 0.251082i | ||||
\(165\) | 10.5269 | − | 0.833514i | 0.819518 | − | 0.0648890i | ||||
\(166\) | −4.04278 | + | 4.23994i | −0.313780 | + | 0.329083i | ||||
\(167\) | −22.8228 | + | 10.4228i | −1.76608 | + | 0.806543i | −0.783333 | + | 0.621603i | \(0.786482\pi\) |
−0.982750 | + | 0.184940i | \(0.940791\pi\) | |||||||
\(168\) | 3.98111 | + | 2.26952i | 0.307150 | + | 0.175097i | ||||
\(169\) | 1.74739 | + | 12.1534i | 0.134415 | + | 0.934875i | ||||
\(170\) | 5.84323 | − | 1.41755i | 0.448155 | − | 0.108721i | ||||
\(171\) | 3.36715 | + | 3.11407i | 0.257493 | + | 0.238139i | ||||
\(172\) | 2.16120 | + | 4.19214i | 0.164790 | + | 0.319648i | ||||
\(173\) | −3.63620 | − | 0.173214i | −0.276455 | − | 0.0131692i | −0.0911036 | − | 0.995841i | \(-0.529039\pi\) |
−0.185352 | + | 0.982672i | \(0.559342\pi\) | |||||||
\(174\) | 4.31464 | + | 13.1512i | 0.327092 | + | 0.996993i | ||||
\(175\) | 11.4341 | − | 7.70323i | 0.864339 | − | 0.582310i | ||||
\(176\) | −0.271527 | − | 1.88851i | −0.0204672 | − | 0.142352i | ||||
\(177\) | −5.87856 | + | 4.92951i | −0.441860 | + | 0.370525i | ||||
\(178\) | −0.599964 | + | 6.28311i | −0.0449692 | + | 0.470939i | ||||
\(179\) | 25.7105 | + | 6.23729i | 1.92169 | + | 0.466197i | 0.996163 | + | 0.0875153i | \(0.0278927\pi\) |
0.925527 | + | 0.378682i | \(0.123622\pi\) | |||||||
\(180\) | −5.30500 | − | 7.98471i | −0.395412 | − | 0.595145i | ||||
\(181\) | 13.1773 | + | 1.89461i | 0.979463 | + | 0.140826i | 0.613407 | − | 0.789767i | \(-0.289799\pi\) |
0.366056 | + | 0.930593i | \(0.380708\pi\) | |||||||
\(182\) | −1.35075 | + | 1.79638i | −0.100125 | + | 0.133156i | ||||
\(183\) | 3.57863 | + | 2.14409i | 0.264540 | + | 0.158495i | ||||
\(184\) | −4.65847 | + | 1.13958i | −0.343427 | + | 0.0840113i | ||||
\(185\) | 4.41212 | + | 2.54734i | 0.324386 | + | 0.187284i | ||||
\(186\) | −3.30895 | + | 6.17115i | −0.242624 | + | 0.452491i | ||||
\(187\) | 3.33289 | − | 1.33429i | 0.243725 | − | 0.0975728i | ||||
\(188\) | 0.895210 | + | 0.408829i | 0.0652899 | + | 0.0298169i | ||||
\(189\) | 13.7157 | − | 0.938315i | 0.997668 | − | 0.0682524i | ||||
\(190\) | −2.02940 | − | 4.44376i | −0.147228 | − | 0.322384i | ||||
\(191\) | −4.35363 | + | 12.5790i | −0.315018 | + | 0.910184i | 0.670693 | + | 0.741735i | \(0.265997\pi\) |
−0.985710 | + | 0.168449i | \(0.946124\pi\) | |||||||
\(192\) | −1.37863 | + | 1.04851i | −0.0994943 | + | 0.0756695i | ||||
\(193\) | −10.5691 | + | 10.0776i | −0.760781 | + | 0.725404i | −0.967465 | − | 0.253004i | \(-0.918581\pi\) |
0.206684 | + | 0.978408i | \(0.433733\pi\) | |||||||
\(194\) | −3.39262 | − | 0.653874i | −0.243576 | − | 0.0469454i | ||||
\(195\) | 4.21336 | − | 2.08653i | 0.301725 | − | 0.149419i | ||||
\(196\) | 6.93295 | − | 0.966556i | 0.495211 | − | 0.0690397i | ||||
\(197\) | −0.0910582 | − | 0.0789024i | −0.00648763 | − | 0.00562156i | 0.651611 | − | 0.758553i | \(-0.274094\pi\) |
−0.658099 | + | 0.752932i | \(0.728639\pi\) | |||||||
\(198\) | −3.81374 | − | 4.26818i | −0.271031 | − | 0.303326i | ||||
\(199\) | 3.98746 | − | 9.96019i | 0.282664 | − | 0.706059i | −0.717293 | − | 0.696771i | \(-0.754619\pi\) |
0.999957 | − | 0.00928808i | \(-0.00295653\pi\) | |||||||
\(200\) | 0.986182 | + | 5.11680i | 0.0697336 | + | 0.361812i | ||||
\(201\) | 15.5330 | − | 6.79207i | 1.09562 | − | 0.479075i | ||||
\(202\) | 7.26036 | − | 2.13183i | 0.510837 | − | 0.149995i | ||||
\(203\) | 17.4837 | + | 11.8879i | 1.22711 | + | 0.834366i | ||||
\(204\) | −2.52888 | − | 2.05584i | −0.177057 | − | 0.143938i | ||||
\(205\) | −5.98962 | + | 11.6182i | −0.418333 | + | 0.811453i | ||||
\(206\) | 7.07713 | − | 12.2579i | 0.493087 | − | 0.854052i | ||||
\(207\) | −9.74853 | + | 10.5814i | −0.677570 | + | 0.735458i | ||||
\(208\) | −0.424748 | − | 0.735685i | −0.0294510 | − | 0.0510106i | ||||
\(209\) | −1.57697 | − | 2.45381i | −0.109081 | − | 0.169734i | ||||
\(210\) | −13.8641 | − | 4.71355i | −0.956712 | − | 0.325266i | ||||
\(211\) | 7.72809 | − | 16.9222i | 0.532024 | − | 1.16497i | −0.432659 | − | 0.901557i | \(-0.642425\pi\) |
0.964683 | − | 0.263412i | \(-0.0848480\pi\) | |||||||
\(212\) | −1.96093 | − | 1.86974i | −0.134677 | − | 0.128414i | ||||
\(213\) | 18.7494 | + | 13.8141i | 1.28469 | + | 0.946525i | ||||
\(214\) | −3.38632 | − | 17.5699i | −0.231484 | − | 1.20105i | ||||
\(215\) | −9.31641 | − | 11.8468i | −0.635374 | − | 0.807943i | ||||
\(216\) | −1.70419 | + | 4.90874i | −0.115955 | + | 0.333998i | ||||
\(217\) | 1.75119 | + | 10.5519i | 0.118878 | + | 0.716307i | ||||
\(218\) | −0.949930 | − | 0.610483i | −0.0643374 | − | 0.0413471i | ||||
\(219\) | 16.5161 | + | 10.9960i | 1.11606 | + | 0.743041i | ||||
\(220\) | 1.99404 | + | 5.76141i | 0.134438 | + | 0.388434i | ||||
\(221\) | 1.15685 | − | 1.10306i | 0.0778182 | − | 0.0741995i | ||||
\(222\) | −0.348712 | − | 2.73939i | −0.0234040 | − | 0.183856i | ||||
\(223\) | −15.5429 | − | 17.9374i | −1.04083 | − | 1.20118i | −0.979162 | − | 0.203083i | \(-0.934904\pi\) |
−0.0616664 | − | 0.998097i | \(-0.519641\pi\) | |||||||
\(224\) | −0.690235 | + | 2.55413i | −0.0461183 | + | 0.170655i | ||||
\(225\) | 10.9590 | + | 11.1485i | 0.730599 | + | 0.743230i | ||||
\(226\) | −0.686792 | − | 7.19241i | −0.0456847 | − | 0.478432i | ||||
\(227\) | 6.48213 | + | 5.09761i | 0.430234 | + | 0.338340i | 0.809678 | − | 0.586875i | \(-0.199642\pi\) |
−0.379443 | + | 0.925215i | \(0.623884\pi\) | |||||||
\(228\) | −1.25130 | + | 2.33366i | −0.0828694 | + | 0.154550i | ||||
\(229\) | −3.63931 | + | 2.10116i | −0.240493 | + | 0.138848i | −0.615403 | − | 0.788213i | \(-0.711007\pi\) |
0.374911 | + | 0.927061i | \(0.377673\pi\) | |||||||
\(230\) | 13.9278 | − | 6.39287i | 0.918371 | − | 0.421534i | ||||
\(231\) | −8.59419 | − | 1.60763i | −0.565456 | − | 0.105775i | ||||
\(232\) | −6.72251 | + | 4.32030i | −0.441354 | + | 0.283641i | ||||
\(233\) | −4.37450 | − | 10.9270i | −0.286583 | − | 0.715849i | −0.999888 | − | 0.0149954i | \(-0.995227\pi\) |
0.713305 | − | 0.700854i | \(-0.247198\pi\) | |||||||
\(234\) | −2.28271 | − | 1.13315i | −0.149225 | − | 0.0740765i | ||||
\(235\) | −3.05615 | − | 0.741414i | −0.199361 | − | 0.0483645i | ||||
\(236\) | −3.60805 | − | 2.56928i | −0.234864 | − | 0.167246i | ||||
\(237\) | 3.49489 | + | 19.8575i | 0.227018 | + | 1.28988i | ||||
\(238\) | −4.97668 | − | 0.129118i | −0.322591 | − | 0.00836947i | ||||
\(239\) | 2.22644 | − | 7.58257i | 0.144017 | − | 0.490476i | −0.855615 | − | 0.517613i | \(-0.826821\pi\) |
0.999632 | + | 0.0271370i | \(0.00863905\pi\) | |||||||
\(240\) | 3.69168 | − | 4.12364i | 0.238297 | − | 0.266180i | ||||
\(241\) | −2.30231 | − | 4.46586i | −0.148305 | − | 0.287671i | 0.802968 | − | 0.596022i | \(-0.203253\pi\) |
−0.951273 | + | 0.308351i | \(0.900223\pi\) | |||||||
\(242\) | −3.37245 | − | 6.54164i | −0.216789 | − | 0.420512i | ||||
\(243\) | 3.89097 | + | 15.0950i | 0.249606 | + | 0.968347i | ||||
\(244\) | −0.678574 | + | 2.31101i | −0.0434412 | + | 0.147947i | ||||
\(245\) | −21.1691 | + | 7.22544i | −1.35244 | + | 0.461617i | ||||
\(246\) | 6.97786 | − | 1.22809i | 0.444892 | − | 0.0783004i | ||||
\(247\) | −1.05790 | − | 0.753326i | −0.0673125 | − | 0.0479330i | ||||
\(248\) | −3.92882 | − | 0.953122i | −0.249480 | − | 0.0605233i | ||||
\(249\) | −10.1154 | + | 0.800935i | −0.641040 | + | 0.0507572i | ||||
\(250\) | −0.250549 | − | 0.625841i | −0.0158461 | − | 0.0395817i | ||||
\(251\) | −24.4662 | + | 15.7235i | −1.54429 | + | 0.992458i | −0.557556 | + | 0.830140i | \(0.688261\pi\) |
−0.986738 | + | 0.162318i | \(0.948103\pi\) | |||||||
\(252\) | 2.51555 | + | 7.52808i | 0.158465 | + | 0.474225i | ||||
\(253\) | 7.68809 | − | 4.96167i | 0.483346 | − | 0.311937i | ||||
\(254\) | −5.40445 | + | 3.12026i | −0.339106 | + | 0.195783i | ||||
\(255\) | 9.17818 | + | 4.92131i | 0.574760 | + | 0.308184i | ||||
\(256\) | −0.786053 | − | 0.618159i | −0.0491283 | − | 0.0386349i | ||||
\(257\) | 0.0599954 | + | 0.628301i | 0.00374241 | + | 0.0391923i | 0.997150 | − | 0.0754415i | \(-0.0240366\pi\) |
−0.993408 | + | 0.114634i | \(0.963431\pi\) | |||||||
\(258\) | −2.05418 | + | 7.90664i | −0.127888 | + | 0.492246i | ||||
\(259\) | −2.97637 | − | 2.98913i | −0.184943 | − | 0.185735i | ||||
\(260\) | 1.77764 | + | 2.05150i | 0.110244 | + | 0.127229i | ||||
\(261\) | −9.62557 | + | 21.9559i | −0.595808 | + | 1.35904i | ||||
\(262\) | −13.0046 | + | 12.3999i | −0.803430 | + | 0.766069i | ||||
\(263\) | 5.36738 | + | 15.5080i | 0.330967 | + | 0.956267i | 0.980600 | + | 0.196019i | \(0.0628013\pi\) |
−0.649633 | + | 0.760248i | \(0.725077\pi\) | |||||||
\(264\) | 1.83138 | − | 2.75076i | 0.112714 | − | 0.169298i | ||||
\(265\) | 7.28354 | + | 4.68084i | 0.447424 | + | 0.287542i | ||||
\(266\) | 0.662221 | + | 3.99025i | 0.0406034 | + | 0.244658i | ||||
\(267\) | −8.03304 | + | 7.41502i | −0.491614 | + | 0.453792i | ||||
\(268\) | 6.05046 | + | 7.69379i | 0.369591 | + | 0.469973i | ||||
\(269\) | −2.66908 | − | 13.8485i | −0.162737 | − | 0.844358i | −0.967906 | − | 0.251313i | \(-0.919138\pi\) |
0.805169 | − | 0.593045i | \(-0.202074\pi\) | |||||||
\(270\) | 2.37871 | − | 16.4328i | 0.144764 | − | 1.00007i | ||||
\(271\) | 11.5102 | + | 10.9749i | 0.699193 | + | 0.666679i | 0.953826 | − | 0.300359i | \(-0.0971063\pi\) |
−0.254633 | + | 0.967038i | \(0.581955\pi\) | |||||||
\(272\) | 0.781663 | − | 1.71160i | 0.0473953 | − | 0.103781i | ||||
\(273\) | −3.81844 | + | 0.757653i | −0.231102 | + | 0.0458553i | ||||
\(274\) | 3.31637 | + | 5.16037i | 0.200349 | + | 0.311749i | ||||
\(275\) | −4.97109 | − | 8.61018i | −0.299768 | − | 0.519214i | ||||
\(276\) | −7.32816 | − | 3.91128i | −0.441103 | − | 0.235432i | ||||
\(277\) | 0.618933 | − | 1.07202i | 0.0371881 | − | 0.0644117i | −0.846832 | − | 0.531860i | \(-0.821493\pi\) |
0.884020 | + | 0.467448i | \(0.154827\pi\) | |||||||
\(278\) | −3.90140 | + | 7.56766i | −0.233990 | + | 0.453878i | ||||
\(279\) | −11.3996 | + | 4.14088i | −0.682473 | + | 0.247908i | ||||
\(280\) | 0.621164 | − | 8.43154i | 0.0371217 | − | 0.503881i | ||||
\(281\) | −27.2552 | + | 8.00284i | −1.62591 | + | 0.477410i | −0.962598 | − | 0.270935i | \(-0.912667\pi\) |
−0.663310 | + | 0.748345i | \(0.730849\pi\) | |||||||
\(282\) | 0.682924 | + | 1.56181i | 0.0406675 | + | 0.0930042i | ||||
\(283\) | −3.75378 | − | 19.4765i | −0.223139 | − | 1.15776i | −0.904718 | − | 0.426011i | \(-0.859918\pi\) |
0.681578 | − | 0.731745i | \(-0.261294\pi\) | |||||||
\(284\) | −4.99729 | + | 12.4826i | −0.296535 | + | 0.740708i | ||||
\(285\) | 2.51495 | − | 8.07907i | 0.148973 | − | 0.478563i | ||||
\(286\) | 1.22491 | + | 1.06139i | 0.0724302 | + | 0.0627611i | ||||
\(287\) | 7.29710 | − | 7.99267i | 0.430734 | − | 0.471792i | ||||
\(288\) | −2.99041 | − | 0.239655i | −0.176212 | − | 0.0141218i | ||||
\(289\) | −13.2162 | − | 2.54721i | −0.777423 | − | 0.149836i | ||||
\(290\) | 18.4806 | − | 17.6213i | 1.08522 | − | 1.03476i | ||||
\(291\) | −3.62265 | − | 4.76326i | −0.212364 | − | 0.279227i | ||||
\(292\) | −3.74677 | + | 10.8256i | −0.219263 | + | 0.633520i | ||||
\(293\) | 2.11191 | + | 4.62444i | 0.123379 | + | 0.270163i | 0.961236 | − | 0.275728i | \(-0.0889188\pi\) |
−0.837857 | + | 0.545890i | \(0.816192\pi\) | |||||||
\(294\) | 10.0634 | + | 6.76225i | 0.586909 | + | 0.394382i | ||||
\(295\) | 12.8748 | + | 5.87971i | 0.749598 | + | 0.342330i | ||||
\(296\) | 1.48014 | − | 0.592560i | 0.0860316 | − | 0.0344418i | ||||
\(297\) | 0.00947339 | − | 9.91392i | 0.000549702 | − | 0.575264i | ||||
\(298\) | −17.2691 | − | 9.97031i | −1.00037 | − | 0.577565i | ||||
\(299\) | 2.35681 | − | 3.32313i | 0.136298 | − | 0.192182i | ||||
\(300\) | −4.63874 | + | 7.74239i | −0.267818 | + | 0.447007i | ||||
\(301\) | 4.88764 | + | 11.4815i | 0.281719 | + | 0.661783i | ||||
\(302\) | −19.8758 | − | 2.85772i | −1.14373 | − | 0.164443i | ||||
\(303\) | 11.8321 | + | 5.63675i | 0.679739 | + | 0.323823i | ||||
\(304\) | −1.48571 | − | 0.360429i | −0.0852112 | − | 0.0206720i | ||||
\(305\) | 0.731599 | − | 7.66165i | 0.0418912 | − | 0.438705i | ||||
\(306\) | −0.888355 | − | 5.57459i | −0.0507839 | − | 0.318678i | ||||
\(307\) | −3.78331 | − | 26.3135i | −0.215925 | − | 1.50179i | −0.752867 | − | 0.658172i | \(-0.771330\pi\) |
0.536943 | − | 0.843619i | \(-0.319579\pi\) | |||||||
\(308\) | −0.349345 | − | 5.03582i | −0.0199058 | − | 0.286942i | ||||
\(309\) | 23.2943 | − | 7.64236i | 1.32517 | − | 0.434759i | ||||
\(310\) | 12.9039 | + | 0.614689i | 0.732893 | + | 0.0349120i | ||||
\(311\) | 14.8904 | + | 28.8833i | 0.844356 | + | 1.63782i | 0.767740 | + | 0.640762i | \(0.221381\pi\) |
0.0766166 | + | 0.997061i | \(0.475588\pi\) | |||||||
\(312\) | 0.301805 | − | 1.44008i | 0.0170863 | − | 0.0815287i | ||||
\(313\) | 9.64236 | − | 2.33921i | 0.545018 | − | 0.132220i | 0.0462090 | − | 0.998932i | \(-0.485286\pi\) |
0.498809 | + | 0.866712i | \(0.333771\pi\) | |||||||
\(314\) | 1.72146 | + | 11.9730i | 0.0971476 | + | 0.675676i | ||||
\(315\) | −12.4456 | − | 22.0997i | −0.701232 | − | 1.24518i | ||||
\(316\) | −10.5890 | + | 4.83583i | −0.595677 | + | 0.272036i | ||||
\(317\) | −16.4309 | + | 17.2322i | −0.922852 | + | 0.967859i | −0.999574 | − | 0.0291931i | \(-0.990706\pi\) |
0.0767216 | + | 0.997053i | \(0.475555\pi\) | |||||||
\(318\) | −0.370423 | − | 4.67827i | −0.0207723 | − | 0.262344i | ||||
\(319\) | 9.42472 | − | 11.9845i | 0.527683 | − | 0.671003i | ||||
\(320\) | 2.84024 | + | 1.46424i | 0.158774 | + | 0.0818538i | ||||
\(321\) | 15.9284 | − | 26.5856i | 0.889035 | − | 1.48386i | ||||
\(322\) | −12.5134 | + | 2.10135i | −0.697343 | + | 0.117104i | ||||
\(323\) | − | 2.87666i | − | 0.160062i | ||||||
\(324\) | −7.87021 | + | 4.36575i | −0.437234 | + | 0.242541i | ||||
\(325\) | −3.47962 | − | 2.73640i | −0.193014 | − | 0.151788i | ||||
\(326\) | 4.56654 | − | 3.25182i | 0.252917 | − | 0.180102i | ||||
\(327\) | −0.520570 | − | 1.88525i | −0.0287876 | − | 0.104255i | ||||
\(328\) | 1.69929 | + | 3.72093i | 0.0938277 | + | 0.205454i | ||||
\(329\) | 2.28263 | + | 1.25275i | 0.125845 | + | 0.0690666i | ||||
\(330\) | −4.08285 | + | 9.73862i | −0.224753 | + | 0.536093i | ||||
\(331\) | 7.86861 | + | 32.4349i | 0.432498 | + | 1.78278i | 0.603342 | + | 0.797483i | \(0.293836\pi\) |
−0.170844 | + | 0.985298i | \(0.554649\pi\) | |||||||
\(332\) | −1.91610 | − | 5.53622i | −0.105160 | − | 0.303839i | ||||
\(333\) | 2.71478 | − | 3.93796i | 0.148769 | − | 0.215799i | ||||
\(334\) | 1.19384 | − | 25.0617i | 0.0653239 | − | 1.37132i | ||||
\(335\) | −23.6374 | − | 20.4819i | −1.29145 | − | 1.11905i | ||||
\(336\) | −3.84148 | + | 2.49860i | −0.209570 | + | 0.136310i | ||||
\(337\) | −19.9255 | + | 2.86485i | −1.08541 | + | 0.156059i | −0.661722 | − | 0.749749i | \(-0.730174\pi\) |
−0.423689 | + | 0.905808i | \(0.639265\pi\) | |||||||
\(338\) | −11.6031 | − | 4.01586i | −0.631123 | − | 0.218434i | ||||
\(339\) | 7.42303 | − | 10.0750i | 0.403164 | − | 0.547200i | ||||
\(340\) | −1.41755 | + | 5.84323i | −0.0768775 | + | 0.316893i | ||||
\(341\) | 7.67843 | − | 0.733202i | 0.415811 | − | 0.0397051i | ||||
\(342\) | −4.31081 | + | 1.56590i | −0.233102 | + | 0.0846740i | ||||
\(343\) | 18.4812 | − | 1.20266i | 0.997889 | − | 0.0649377i | ||||
\(344\) | −4.71645 | −0.254294 | ||||||||
\(345\) | 25.3590 | + | 7.84082i | 1.36528 | + | 0.422136i | ||||
\(346\) | 1.82016 | − | 3.15261i | 0.0978526 | − | 0.169486i | ||||
\(347\) | −23.8779 | + | 1.13745i | −1.28183 | + | 0.0610613i | −0.677413 | − | 0.735603i | \(-0.736899\pi\) |
−0.604422 | + | 0.796664i | \(0.706596\pi\) | |||||||
\(348\) | −13.6664 | − | 2.19124i | −0.732595 | − | 0.117463i | ||||
\(349\) | −8.46134 | + | 18.5278i | −0.452925 | + | 0.991768i | 0.536118 | + | 0.844143i | \(0.319890\pi\) |
−0.989043 | + | 0.147625i | \(0.952837\pi\) | |||||||
\(350\) | 1.60749 | + | 13.6929i | 0.0859238 | + | 0.731915i | ||||
\(351\) | −1.63664 | − | 4.09948i | −0.0873575 | − | 0.218814i | ||||
\(352\) | 1.80300 | + | 0.624024i | 0.0961002 | + | 0.0332606i | ||||
\(353\) | 2.51592 | − | 6.28446i | 0.133909 | − | 0.334488i | −0.846225 | − | 0.532826i | \(-0.821130\pi\) |
0.980134 | + | 0.198338i | \(0.0635543\pi\) | |||||||
\(354\) | −1.68781 | − | 7.48391i | −0.0897061 | − | 0.397765i | ||||
\(355\) | 8.13127 | − | 42.1890i | 0.431563 | − | 2.23916i | ||||
\(356\) | −5.30973 | − | 3.41236i | −0.281415 | − | 0.180855i | ||||
\(357\) | −6.27308 | − | 5.91613i | −0.332007 | − | 0.313115i | ||||
\(358\) | −17.3251 | + | 19.9943i | −0.915662 | + | 1.05673i | ||||
\(359\) | −1.71955 | − | 7.08807i | −0.0907542 | − | 0.374094i | 0.908264 | − | 0.418398i | \(-0.137408\pi\) |
−0.999018 | + | 0.0443038i | \(0.985893\pi\) | |||||||
\(360\) | 9.52799 | − | 1.05647i | 0.502169 | − | 0.0556807i | ||||
\(361\) | 16.3616 | − | 3.15345i | 0.861139 | − | 0.165971i | ||||
\(362\) | −7.72220 | + | 10.8443i | −0.405870 | + | 0.569965i | ||||
\(363\) | 3.20544 | − | 12.3379i | 0.168242 | − | 0.647573i | ||||
\(364\) | −0.977731 | − | 2.02375i | −0.0512470 | − | 0.106073i | ||||
\(365\) | 5.20958 | − | 36.2334i | 0.272682 | − | 1.89655i | ||||
\(366\) | −3.54556 | + | 2.19834i | −0.185329 | + | 0.114909i | ||||
\(367\) | 5.74556 | + | 3.31720i | 0.299916 | + | 0.173156i | 0.642405 | − | 0.766365i | \(-0.277937\pi\) |
−0.342489 | + | 0.939522i | \(0.611270\pi\) | |||||||
\(368\) | 1.12173 | − | 4.66280i | 0.0584743 | − | 0.243065i | ||||
\(369\) | 10.4235 | + | 6.47663i | 0.542626 | + | 0.337160i | ||||
\(370\) | −4.28592 | + | 2.75439i | −0.222814 | + | 0.143194i | ||||
\(371\) | −4.81064 | − | 5.31468i | −0.249756 | − | 0.275924i | ||||
\(372\) | −3.96889 | − | 5.76890i | −0.205777 | − | 0.299103i | ||||
\(373\) | 14.8900 | − | 15.6162i | 0.770977 | − | 0.808577i | −0.214796 | − | 0.976659i | \(-0.568909\pi\) |
0.985773 | + | 0.168081i | \(0.0537572\pi\) | |||||||
\(374\) | −0.341256 | + | 3.57380i | −0.0176459 | + | 0.184797i | ||||
\(375\) | 0.399702 | − | 1.09708i | 0.0206405 | − | 0.0566532i | ||||
\(376\) | −0.773590 | + | 0.608358i | −0.0398949 | + | 0.0313737i | ||||
\(377\) | 1.91251 | − | 6.51340i | 0.0984991 | − | 0.335457i | ||||
\(378\) | −5.45088 | + | 12.6209i | −0.280363 | + | 0.649151i | ||||
\(379\) | 2.58250 | − | 4.01844i | 0.132654 | − | 0.206414i | −0.768572 | − | 0.639764i | \(-0.779032\pi\) |
0.901226 | + | 0.433350i | \(0.142669\pi\) | |||||||
\(380\) | 4.87969 | + | 0.232448i | 0.250323 | + | 0.0119244i | ||||
\(381\) | −10.5791 | − | 2.21711i | −0.541983 | − | 0.113586i | ||||
\(382\) | −9.18571 | − | 9.63369i | −0.469982 | − | 0.492903i | ||||
\(383\) | 12.2700 | − | 9.64924i | 0.626968 | − | 0.493053i | −0.253389 | − | 0.967364i | \(-0.581545\pi\) |
0.880357 | + | 0.474311i | \(0.157303\pi\) | |||||||
\(384\) | −0.300224 | − | 1.70583i | −0.0153207 | − | 0.0870504i | ||||
\(385\) | 4.14153 | + | 15.5897i | 0.211072 | + | 0.794524i | ||||
\(386\) | −4.11431 | − | 14.0120i | −0.209413 | − | 0.713194i | ||||
\(387\) | −11.7853 | + | 7.83010i | −0.599081 | + | 0.398026i | ||||
\(388\) | 2.13577 | − | 2.71586i | 0.108428 | − | 0.137877i | ||||
\(389\) | −0.178238 | − | 3.74168i | −0.00903703 | − | 0.189711i | −0.998872 | − | 0.0474884i | \(-0.984878\pi\) |
0.989835 | − | 0.142222i | \(-0.0454247\pi\) | |||||||
\(390\) | −0.0760945 | + | 4.70109i | −0.00385319 | + | 0.238049i | ||||
\(391\) | 9.02402 | − | 0.0172827i | 0.456365 | − | 0.000874026i | ||||
\(392\) | −2.31775 | + | 6.60515i | −0.117064 | + | 0.333611i | ||||
\(393\) | −31.1076 | + | 0.977557i | −1.56917 | + | 0.0493112i | ||||
\(394\) | 0.111857 | − | 0.0447806i | 0.00563525 | − | 0.00225601i | ||||
\(395\) | 30.3008 | − | 21.5771i | 1.52460 | − | 1.08566i | ||||
\(396\) | 5.54126 | − | 1.43399i | 0.278459 | − | 0.0720608i | ||||
\(397\) | 7.25854 | − | 10.1932i | 0.364295 | − | 0.511581i | −0.591225 | − | 0.806507i | \(-0.701355\pi\) |
0.955520 | + | 0.294925i | \(0.0952948\pi\) | |||||||
\(398\) | 7.02581 | + | 8.10822i | 0.352172 | + | 0.406428i | ||||
\(399\) | −3.75532 | + | 5.91435i | −0.188001 | + | 0.296088i | ||||
\(400\) | −4.99988 | − | 1.46810i | −0.249994 | − | 0.0734049i | ||||
\(401\) | −0.586734 | − | 0.113084i | −0.0293001 | − | 0.00564713i | 0.174580 | − | 0.984643i | \(-0.444143\pi\) |
−0.203880 | + | 0.978996i | \(0.565355\pi\) | |||||||
\(402\) | −1.08062 | + | 16.9186i | −0.0538965 | + | 0.843824i | ||||
\(403\) | 3.05255 | − | 1.57370i | 0.152058 | − | 0.0783915i | ||||
\(404\) | −1.43204 | + | 7.43013i | −0.0712466 | + | 0.369663i | ||||
\(405\) | 22.0543 | − | 18.4579i | 1.09589 | − | 0.917182i | ||||
\(406\) | −18.5778 | + | 10.0927i | −0.922003 | + | 0.500895i | ||||
\(407\) | −2.29893 | + | 1.99203i | −0.113954 | + | 0.0987413i | ||||
\(408\) | 2.98611 | − | 1.30572i | 0.147834 | − | 0.0646429i | ||||
\(409\) | −5.18330 | + | 21.3659i | −0.256298 | + | 1.05647i | 0.687562 | + | 0.726126i | \(0.258681\pi\) |
−0.943859 | + | 0.330347i | \(0.892834\pi\) | |||||||
\(410\) | −7.58210 | − | 10.6476i | −0.374453 | − | 0.525846i | ||||
\(411\) | −1.68205 | + | 10.4906i | −0.0829694 | + | 0.517465i | ||||
\(412\) | 7.65237 | + | 11.9073i | 0.377005 | + | 0.586631i | ||||
\(413\) | −9.02075 | − | 7.48066i | −0.443882 | − | 0.368099i | ||||
\(414\) | −4.93809 | − | 13.5135i | −0.242694 | − | 0.664153i | ||||
\(415\) | 9.36018 | + | 16.2123i | 0.459473 | + | 0.795831i | ||||
\(416\) | 0.848534 | − | 0.0404206i | 0.0416028 | − | 0.00198178i | ||||
\(417\) | −13.7775 | + | 5.25858i | −0.674685 | + | 0.257514i | ||||
\(418\) | 2.90365 | − | 0.277265i | 0.142022 | − | 0.0135615i | ||||
\(419\) | 33.9719 | − | 9.97505i | 1.65964 | − | 0.487313i | 0.688379 | − | 0.725351i | \(-0.258322\pi\) |
0.971256 | + | 0.238038i | \(0.0765042\pi\) | |||||||
\(420\) | 10.5425 | − | 10.1630i | 0.514419 | − | 0.495904i | ||||
\(421\) | −28.1881 | + | 24.4251i | −1.37380 | + | 1.19041i | −0.413818 | + | 0.910360i | \(0.635805\pi\) |
−0.959986 | + | 0.280048i | \(0.909650\pi\) | |||||||
\(422\) | 11.4998 | + | 14.6232i | 0.559802 | + | 0.711846i | ||||
\(423\) | −0.923045 | + | 2.80444i | −0.0448800 | + | 0.136356i | ||||
\(424\) | 2.56044 | − | 0.886176i | 0.124346 | − | 0.0430365i | ||||
\(425\) | 0.466549 | − | 9.79407i | 0.0226310 | − | 0.475082i | ||||
\(426\) | −20.8699 | + | 10.3351i | −1.01115 | + | 0.500738i | ||||
\(427\) | −2.23972 | + | 5.96592i | −0.108388 | + | 0.288711i | ||||
\(428\) | 17.1684 | + | 5.04111i | 0.829868 | + | 0.243671i | ||||
\(429\) | 0.354493 | + | 2.78481i | 0.0171151 | + | 0.134452i | ||||
\(430\) | 14.7989 | − | 2.85225i | 0.713664 | − | 0.137548i | ||||
\(431\) | 18.9254 | + | 1.80716i | 0.911606 | + | 0.0870479i | 0.540310 | − | 0.841466i | \(-0.318307\pi\) |
0.371297 | + | 0.928514i | \(0.378913\pi\) | |||||||
\(432\) | −3.58216 | − | 3.76406i | −0.172347 | − | 0.181098i | ||||
\(433\) | 27.5881 | + | 12.5991i | 1.32580 | + | 0.605472i | 0.947365 | − | 0.320156i | \(-0.103735\pi\) |
0.378434 | + | 0.925628i | \(0.376463\pi\) | |||||||
\(434\) | −10.1813 | − | 3.27863i | −0.488719 | − | 0.157379i | ||||
\(435\) | 44.2063 | − | 1.38919i | 2.11953 | − | 0.0666064i | ||||
\(436\) | 0.977902 | − | 0.564592i | 0.0468330 | − | 0.0270390i | ||||
\(437\) | −1.40135 | − | 7.19671i | −0.0670358 | − | 0.344265i | ||||
\(438\) | −17.3418 | + | 9.64147i | −0.828622 | + | 0.460687i | ||||
\(439\) | 0.833041 | + | 0.429463i | 0.0397589 | + | 0.0204971i | 0.477991 | − | 0.878365i | \(-0.341365\pi\) |
−0.438232 | + | 0.898862i | \(0.644395\pi\) | |||||||
\(440\) | −6.03467 | − | 0.867655i | −0.287692 | − | 0.0413638i | ||||
\(441\) | 5.17414 | + | 20.3526i | 0.246388 | + | 0.969171i | ||||
\(442\) | 0.450335 | + | 1.53370i | 0.0214202 | + | 0.0729506i | ||||
\(443\) | 12.8959 | + | 9.18311i | 0.612702 | + | 0.436303i | 0.843823 | − | 0.536622i | \(-0.180300\pi\) |
−0.231121 | + | 0.972925i | \(0.574239\pi\) | |||||||
\(444\) | 2.59465 | + | 0.945313i | 0.123137 | + | 0.0448626i | ||||
\(445\) | 18.7240 | + | 7.49597i | 0.887604 | + | 0.355343i | ||||
\(446\) | 23.0656 | − | 5.59565i | 1.09219 | − | 0.264962i | ||||
\(447\) | −10.7666 | − | 32.8172i | −0.509243 | − | 1.55220i | ||||
\(448\) | −1.95392 | − | 1.78388i | −0.0923139 | − | 0.0842802i | ||||
\(449\) | 11.8293 | − | 18.4068i | 0.558261 | − | 0.868671i | −0.441328 | − | 0.897346i | \(-0.645492\pi\) |
0.999589 | + | 0.0286750i | \(0.00912878\pi\) | |||||||
\(450\) | −14.9308 | + | 4.63221i | −0.703847 | + | 0.218365i | ||||
\(451\) | −5.38577 | − | 5.64844i | −0.253606 | − | 0.265974i | ||||
\(452\) | 6.70758 | + | 2.68531i | 0.315498 | + | 0.126306i | ||||
\(453\) | −22.3477 | − | 26.6501i | −1.04998 | − | 1.25213i | ||||
\(454\) | −7.50122 | + | 3.42569i | −0.352050 | + | 0.160776i | ||||
\(455\) | 4.29169 | + | 5.75866i | 0.201197 | + | 0.269970i | ||||
\(456\) | −1.50086 | − | 2.18154i | −0.0702842 | − | 0.102160i | ||||
\(457\) | −2.75188 | − | 6.87388i | −0.128728 | − | 0.321546i | 0.849977 | − | 0.526820i | \(-0.176616\pi\) |
−0.978705 | + | 0.205274i | \(0.934192\pi\) | |||||||
\(458\) | −0.199954 | − | 4.19756i | −0.00934325 | − | 0.196139i | ||||
\(459\) | 5.29387 | − | 8.22014i | 0.247097 | − | 0.383683i | ||||
\(460\) | −0.699869 | + | 15.3089i | −0.0326316 | + | 0.713781i | ||||
\(461\) | − | 29.0570i | − | 1.35332i | −0.736296 | − | 0.676659i | \(-0.763427\pi\) | ||
0.736296 | − | 0.676659i | \(-0.236573\pi\) | |||||||
\(462\) | 5.36701 | − | 6.90216i | 0.249696 | − | 0.321117i | ||||
\(463\) | 1.75383 | − | 12.1981i | 0.0815073 | − | 0.566896i | −0.907615 | − | 0.419803i | \(-0.862099\pi\) |
0.989123 | − | 0.147093i | \(-0.0469917\pi\) | |||||||
\(464\) | −0.759599 | − | 7.95488i | −0.0352635 | − | 0.369296i | ||||
\(465\) | 15.9419 | + | 15.7010i | 0.739290 | + | 0.728116i | ||||
\(466\) | 11.7168 | + | 1.11882i | 0.542770 | + | 0.0518282i | ||||
\(467\) | −8.43665 | + | 24.3761i | −0.390402 | + | 1.12799i | 0.563044 | + | 0.826427i | \(0.309630\pi\) |
−0.953446 | + | 0.301565i | \(0.902491\pi\) | |||||||
\(468\) | 2.05318 | − | 1.50971i | 0.0949084 | − | 0.0697864i | ||||
\(469\) | 14.4692 | + | 21.4770i | 0.668124 | + | 0.991715i | ||||
\(470\) | 2.05940 | − | 2.37668i | 0.0949932 | − | 0.109628i | ||||
\(471\) | −11.6108 | + | 17.4396i | −0.534998 | + | 0.803573i | ||||
\(472\) | 3.93697 | − | 2.02965i | 0.181214 | − | 0.0934221i | ||||
\(473\) | 8.50375 | − | 2.94318i | 0.391003 | − | 0.135327i | ||||
\(474\) | −19.2515 | − | 5.99285i | −0.884251 | − | 0.275261i | ||||
\(475\) | −7.88545 | + | 1.13376i | −0.361809 | + | 0.0520203i | ||||
\(476\) | 2.39521 | − | 4.36429i | 0.109784 | − | 0.200037i | ||||
\(477\) | 4.92674 | − | 6.46511i | 0.225580 | − | 0.296017i | ||||
\(478\) | 5.71944 | + | 5.45347i | 0.261601 | + | 0.249436i | ||||
\(479\) | 7.15716 | + | 10.0508i | 0.327019 | + | 0.459234i | 0.945053 | − | 0.326917i | \(-0.106010\pi\) |
−0.618034 | + | 0.786152i | \(0.712071\pi\) | |||||||
\(480\) | 1.97361 | + | 5.17086i | 0.0900826 | + | 0.236016i | ||||
\(481\) | −0.620619 | + | 1.20383i | −0.0282978 | + | 0.0548900i | ||||
\(482\) | 5.02439 | 0.228855 | ||||||||
\(483\) | −18.5758 | − | 11.7448i | −0.845226 | − | 0.534408i | ||||
\(484\) | 7.35978 | 0.334536 | ||||||||
\(485\) | −5.05905 | + | 9.81318i | −0.229720 | + | 0.445594i | ||||
\(486\) | −15.2000 | − | 3.45851i | −0.689484 | − | 0.156881i | ||||
\(487\) | 11.8761 | + | 16.6777i | 0.538158 | + | 0.755737i | 0.990709 | − | 0.136001i | \(-0.0434251\pi\) |
−0.452550 | + | 0.891739i | \(0.649486\pi\) | |||||||
\(488\) | −1.74317 | − | 1.66211i | −0.0789095 | − | 0.0752400i | ||||
\(489\) | 9.64977 | + | 1.07931i | 0.436378 | + | 0.0488079i | ||||
\(490\) | 3.27801 | − | 22.1267i | 0.148085 | − | 0.999584i | ||||
\(491\) | −40.2701 | + | 5.78997i | −1.81736 | + | 0.261298i | −0.965113 | − | 0.261835i | \(-0.915672\pi\) |
−0.852251 | + | 0.523132i | \(0.824763\pi\) | |||||||
\(492\) | −2.10587 | + | 6.76491i | −0.0949398 | + | 0.304986i | ||||
\(493\) | 14.2093 | − | 4.91790i | 0.639957 | − | 0.221491i | ||||
\(494\) | 1.15434 | − | 0.595104i | 0.0519362 | − | 0.0267750i | ||||
\(495\) | −16.5197 | + | 7.85051i | −0.742505 | + | 0.352854i | ||||
\(496\) | 2.64746 | − | 3.05533i | 0.118874 | − | 0.137188i | ||||
\(497\) | −15.6124 | + | 31.9653i | −0.700310 | + | 1.43384i | ||||
\(498\) | 3.92326 | − | 9.35797i | 0.175806 | − | 0.419340i | ||||
\(499\) | 8.14940 | − | 23.5461i | 0.364817 | − | 1.05407i | −0.601977 | − | 0.798513i | \(-0.705620\pi\) |
0.966794 | − | 0.255557i | \(-0.0822587\pi\) | |||||||
\(500\) | 0.671078 | + | 0.0640802i | 0.0300115 | + | 0.00286575i | ||||
\(501\) | 30.4942 | − | 30.9622i | 1.36238 | − | 1.38329i | ||||
\(502\) | −2.76452 | − | 28.9514i | −0.123387 | − | 1.29216i | ||||
\(503\) | 1.28397 | − | 8.93017i | 0.0572492 | − | 0.398177i | −0.940968 | − | 0.338495i | \(-0.890082\pi\) |
0.998217 | − | 0.0596820i | \(-0.0190087\pi\) | |||||||
\(504\) | −7.84392 | − | 1.21366i | −0.349396 | − | 0.0540607i | ||||
\(505\) | − | 24.1796i | − | 1.07598i | ||||||
\(506\) | 0.887219 | + | 9.10702i | 0.0394417 | + | 0.404856i | ||||
\(507\) | −10.3339 | − | 18.5872i | −0.458945 | − | 0.825487i | ||||
\(508\) | −0.296936 | − | 6.23346i | −0.0131744 | − | 0.276565i | ||||
\(509\) | −1.36106 | − | 3.39976i | −0.0603279 | − | 0.150692i | 0.895141 | − | 0.445782i | \(-0.147074\pi\) |
−0.955469 | + | 0.295091i | \(0.904650\pi\) | |||||||
\(510\) | −8.57992 | + | 5.90281i | −0.379925 | + | 0.261381i | ||||
\(511\) | −11.9906 | + | 27.8361i | −0.530434 | + | 1.23140i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | −7.37203 | − | 2.95949i | −0.325483 | − | 0.130665i | ||||
\(514\) | −0.585947 | − | 0.234578i | −0.0258450 | − | 0.0103468i | ||||
\(515\) | −31.2118 | − | 32.7340i | −1.37536 | − | 1.44243i | ||||
\(516\) | −6.08642 | − | 5.44886i | −0.267940 | − | 0.239873i | ||||
\(517\) | 1.01515 | − | 1.57961i | 0.0446464 | − | 0.0694711i | ||||
\(518\) | 4.02069 | − | 1.27580i | 0.176659 | − | 0.0560556i | ||||
\(519\) | 5.99104 | − | 1.96553i | 0.262978 | − | 0.0862774i | ||||
\(520\) | −2.63801 | + | 0.639975i | −0.115684 | + | 0.0280647i | ||||
\(521\) | 16.4843 | + | 6.59932i | 0.722191 | + | 0.289122i | 0.703492 | − | 0.710704i | \(-0.251623\pi\) |
0.0186991 | + | 0.999825i | \(0.494048\pi\) | |||||||
\(522\) | −15.1045 | − | 18.6163i | −0.661106 | − | 0.814815i | ||||
\(523\) | 19.2579 | + | 13.7135i | 0.842090 | + | 0.599650i | 0.917604 | − | 0.397495i | \(-0.130120\pi\) |
−0.0755141 | + | 0.997145i | \(0.524060\pi\) | |||||||
\(524\) | −5.06240 | − | 17.2410i | −0.221152 | − | 0.753175i | ||||
\(525\) | −13.7448 | + | 19.5273i | −0.599873 | + | 0.852243i | ||||
\(526\) | −16.2436 | − | 2.33547i | −0.708253 | − | 0.101831i | ||||
\(527\) | 6.76143 | + | 3.48576i | 0.294533 | + | 0.151842i | ||||
\(528\) | 1.60579 | + | 2.88827i | 0.0698828 | + | 0.125696i | ||||
\(529\) | 22.5675 | − | 4.43925i | 0.981197 | − | 0.193011i | ||||
\(530\) | −7.49801 | + | 4.32898i | −0.325693 | + | 0.188039i | ||||
\(531\) | 6.46801 | − | 11.6076i | 0.280688 | − | 0.503729i | ||||
\(532\) | −3.85013 | − | 1.23983i | −0.166924 | − | 0.0537536i | ||||
\(533\) | −3.16091 | − | 1.44354i | −0.136914 | − | 0.0625267i | ||||
\(534\) | −2.90978 | − | 10.5378i | −0.125918 | − | 0.456016i | ||||
\(535\) | −56.9182 | − | 5.43503i | −2.46079 | − | 0.234977i | ||||
\(536\) | −9.61100 | + | 1.85237i | −0.415132 | + | 0.0800101i | ||||
\(537\) | −45.4567 | + | 5.78643i | −1.96160 | + | 0.249703i | ||||
\(538\) | 13.5321 | + | 3.97338i | 0.583409 | + | 0.171304i | ||||
\(539\) | 0.0571295 | − | 13.3554i | 0.00246074 | − | 0.575259i | ||||
\(540\) | 13.5161 | + | 9.64424i | 0.581640 | + | 0.415022i | ||||
\(541\) | −0.512751 | + | 10.7640i | −0.0220449 | + | 0.462779i | 0.960674 | + | 0.277677i | \(0.0895646\pi\) |
−0.982719 | + | 0.185102i | \(0.940738\pi\) | |||||||
\(542\) | −15.0292 | + | 5.20164i | −0.645558 | + | 0.223430i | ||||
\(543\) | −22.4936 | + | 5.07287i | −0.965292 | + | 0.217698i | ||||
\(544\) | 1.16315 | + | 1.47907i | 0.0498698 | + | 0.0634146i | ||||
\(545\) | −2.72694 | + | 2.36291i | −0.116809 | + | 0.101216i | ||||
\(546\) | 1.07628 | − | 3.74114i | 0.0460606 | − | 0.160106i | ||||
\(547\) | −35.1617 | + | 10.3244i | −1.50341 | + | 0.441440i | −0.926791 | − | 0.375577i | \(-0.877445\pi\) |
−0.576614 | + | 0.817017i | \(0.695626\pi\) | |||||||
\(548\) | −6.10636 | + | 0.583087i | −0.260851 | + | 0.0249082i | ||||
\(549\) | −7.11515 | − | 1.25927i | −0.303667 | − | 0.0537442i | ||||
\(550\) | 9.93092 | − | 0.473068i | 0.423456 | − | 0.0201717i | ||||
\(551\) | −6.10838 | − | 10.5800i | −0.260226 | − | 0.450724i | ||||
\(552\) | 6.83444 | − | 4.72127i | 0.290893 | − | 0.200951i | ||||
\(553\) | −28.8801 | + | 10.7014i | −1.22811 | + | 0.455071i | ||||
\(554\) | 0.669241 | + | 1.04136i | 0.0284333 | + | 0.0442431i | ||||
\(555\) | −8.71296 | − | 1.39702i | −0.369844 | − | 0.0593001i | ||||
\(556\) | −4.93868 | − | 6.93540i | −0.209447 | − | 0.294127i | ||||
\(557\) | −4.26607 | + | 17.5850i | −0.180759 | + | 0.745099i | 0.807187 | + | 0.590296i | \(0.200989\pi\) |
−0.987945 | + | 0.154802i | \(0.950526\pi\) | |||||||
\(558\) | 1.54302 | − | 12.0298i | 0.0653213 | − | 0.509261i | ||||
\(559\) | 3.02799 | − | 2.62377i | 0.128070 | − | 0.110973i | ||||
\(560\) | 7.20962 | + | 4.41567i | 0.304662 | + | 0.186596i | ||||
\(561\) | −4.56915 | + | 4.21762i | −0.192910 | + | 0.178068i | ||||
\(562\) | 5.37584 | − | 27.8925i | 0.226766 | − | 1.17657i | ||||
\(563\) | −4.84746 | + | 2.49904i | −0.204296 | + | 0.105322i | −0.557339 | − | 0.830285i | \(-0.688177\pi\) |
0.353042 | + | 0.935607i | \(0.385147\pi\) | |||||||
\(564\) | −1.70112 | − | 0.108654i | −0.0716302 | − | 0.00457514i | ||||
\(565\) | −22.6704 | − | 4.36936i | −0.953751 | − | 0.183820i | ||||
\(566\) | 19.0315 | + | 5.58814i | 0.799952 | + | 0.234887i | ||||
\(567\) | −21.6150 | + | 9.98957i | −0.907745 | + | 0.419523i | ||||
\(568\) | −8.80512 | − | 10.1616i | −0.369454 | − | 0.426373i | ||||
\(569\) | 18.0585 | − | 25.3597i | 0.757054 | − | 1.06313i | −0.238702 | − | 0.971093i | \(-0.576722\pi\) |
0.995755 | − | 0.0920402i | \(-0.0293388\pi\) | |||||||
\(570\) | 6.02854 | + | 5.93742i | 0.252508 | + | 0.248691i | ||||
\(571\) | −4.04329 | + | 2.87921i | −0.169206 | + | 0.120491i | −0.661523 | − | 0.749925i | \(-0.730090\pi\) |
0.492317 | + | 0.870416i | \(0.336150\pi\) | |||||||
\(572\) | −1.50468 | + | 0.602384i | −0.0629139 | + | 0.0251869i | ||||
\(573\) | −0.724163 | − | 23.0441i | −0.0302523 | − | 0.962682i | ||||
\(574\) | 3.76044 | + | 10.1484i | 0.156958 | + | 0.423585i | ||||
\(575\) | −3.60395 | − | 24.7297i | −0.150295 | − | 1.03130i | ||||
\(576\) | 1.58330 | − | 2.54817i | 0.0659708 | − | 0.106174i | ||||
\(577\) | 0.954293 | + | 20.0331i | 0.0397277 | + | 0.833988i | 0.927527 | + | 0.373757i | \(0.121930\pi\) |
−0.887799 | + | 0.460231i | \(0.847767\pi\) | |||||||
\(578\) | 8.32006 | − | 10.5798i | 0.346069 | − | 0.440062i | ||||
\(579\) | 10.8786 | − | 22.8353i | 0.452098 | − | 0.949003i | ||||
\(580\) | 7.19408 | + | 24.5008i | 0.298718 | + | 1.01734i | ||||
\(581\) | −3.97965 | − | 14.9803i | −0.165104 | − | 0.621489i | ||||
\(582\) | 5.89375 | − | 1.03729i | 0.244304 | − | 0.0429971i | ||||
\(583\) | −4.06347 | + | 3.19555i | −0.168292 | + | 0.132346i | ||||
\(584\) | −7.90530 | − | 8.29084i | −0.327124 | − | 0.343077i | ||||
\(585\) | −5.52931 | + | 5.97869i | −0.228609 | + | 0.247189i | ||||
\(586\) | −5.07810 | − | 0.241900i | −0.209774 | − | 0.00999278i | ||||
\(587\) | 1.23661 | − | 1.92421i | 0.0510405 | − | 0.0794206i | −0.814796 | − | 0.579748i | \(-0.803151\pi\) |
0.865836 | + | 0.500328i | \(0.166787\pi\) | |||||||
\(588\) | −10.6218 | + | 5.84606i | −0.438037 | + | 0.241088i | ||||
\(589\) | 1.74128 | − | 5.93025i | 0.0717482 | − | 0.244352i | ||||
\(590\) | −11.1257 | + | 8.74931i | −0.458036 | + | 0.360204i | ||||
\(591\) | 0.196082 | + | 0.0714387i | 0.00806573 | + | 0.00293859i | ||||
\(592\) | −0.151553 | + | 1.58713i | −0.00622877 | + | 0.0652306i | ||||
\(593\) | 13.0898 | − | 13.7282i | 0.537533 | − | 0.563749i | −0.397820 | − | 0.917464i | \(-0.630233\pi\) |
0.935353 | + | 0.353715i | \(0.115082\pi\) | |||||||
\(594\) | 8.80750 | + | 4.55124i | 0.361376 | + | 0.186740i | ||||
\(595\) | −4.87621 | + | 15.1424i | −0.199905 | + | 0.620777i | ||||
\(596\) | 16.7751 | − | 10.7807i | 0.687136 | − | 0.441595i | ||||
\(597\) | −0.300750 | + | 18.5802i | −0.0123089 | + | 0.760439i | ||||
\(598\) | 1.87376 | + | 3.61757i | 0.0766239 | + | 0.147933i | ||||
\(599\) | 6.56674 | + | 3.79131i | 0.268310 | + | 0.154909i | 0.628119 | − | 0.778117i | \(-0.283825\pi\) |
−0.359809 | + | 0.933026i | \(0.617158\pi\) | |||||||
\(600\) | −4.75611 | − | 7.67084i | −0.194167 | − | 0.313161i | ||||
\(601\) | −0.615685 | + | 4.28218i | −0.0251143 | + | 0.174674i | −0.998518 | − | 0.0544228i | \(-0.982668\pi\) |
0.973404 | + | 0.229097i | \(0.0735772\pi\) | |||||||
\(602\) | −12.4448 | − | 0.916828i | −0.507213 | − | 0.0373671i | ||||
\(603\) | −20.9404 | + | 20.5845i | −0.852759 | + | 0.838266i | ||||
\(604\) | 11.6477 | − | 16.3569i | 0.473937 | − | 0.665552i | ||||
\(605\) | −23.0929 | + | 4.45079i | −0.938860 | + | 0.180950i | ||||
\(606\) | −10.4319 | + | 7.93392i | −0.423769 | + | 0.322294i | ||||
\(607\) | 5.13347 | + | 21.1605i | 0.208361 | + | 0.858877i | 0.975961 | + | 0.217947i | \(0.0699360\pi\) |
−0.767599 | + | 0.640930i | \(0.778549\pi\) | |||||||
\(608\) | 1.00115 | − | 1.15539i | 0.0406021 | − | 0.0468573i | ||||
\(609\) | −35.6341 | − | 8.43841i | −1.44397 | − | 0.341941i | ||||
\(610\) | 6.47471 | + | 4.16104i | 0.262153 | + | 0.168476i | ||||
\(611\) | 0.158219 | − | 0.820919i | 0.00640086 | − | 0.0332108i | ||||
\(612\) | 5.36196 | + | 1.76482i | 0.216744 | + | 0.0713387i | ||||
\(613\) | 2.50301 | − | 6.25222i | 0.101096 | − | 0.252525i | −0.869194 | − | 0.494471i | \(-0.835362\pi\) |
0.970290 | + | 0.241947i | \(0.0777859\pi\) | |||||||
\(614\) | 25.1220 | + | 8.69480i | 1.01384 | + | 0.350894i | ||||
\(615\) | 2.51656 | − | 22.4999i | 0.101478 | − | 0.907282i | ||||
\(616\) | 4.63609 | + | 1.99704i | 0.186794 | + | 0.0804629i | ||||
\(617\) | 3.59099 | − | 7.86317i | 0.144568 | − | 0.316559i | −0.823472 | − | 0.567358i | \(-0.807966\pi\) |
0.968039 | + | 0.250798i | \(0.0806930\pi\) | |||||||
\(618\) | −3.88126 | + | 24.2067i | −0.156127 | + | 0.973737i | ||||
\(619\) | −22.2201 | + | 1.05848i | −0.893103 | + | 0.0425437i | −0.489114 | − | 0.872220i | \(-0.662680\pi\) |
−0.403989 | + | 0.914764i | \(0.632377\pi\) | |||||||
\(620\) | −6.45927 | + | 11.1878i | −0.259411 | + | 0.449312i | ||||
\(621\) | 9.23958 | − | 23.1437i | 0.370771 | − | 0.928724i | ||||
\(622\) | −32.4957 | −1.30296 | ||||||||
\(623\) | −13.3469 | − | 10.0360i | −0.534733 | − | 0.402084i | ||||
\(624\) | 1.14170 | + | 0.928140i | 0.0457047 | + | 0.0371553i | ||||
\(625\) | 23.7924 | − | 2.27190i | 0.951698 | − | 0.0908761i | ||||
\(626\) | −2.33921 | + | 9.64236i | −0.0934937 | + | 0.385386i | ||||
\(627\) | 4.06738 | + | 2.99675i | 0.162436 | + | 0.119679i | ||||
\(628\) | −11.4309 | − | 3.95626i | −0.456141 | − | 0.157872i | ||||
\(629\) | −2.96946 | + | 0.426944i | −0.118400 | + | 0.0170234i | ||||
\(630\) | 25.3459 | − | 0.935454i | 1.00981 | − | 0.0372694i | ||||
\(631\) | 11.9847 | + | 10.3848i | 0.477105 | + | 0.413414i | 0.859934 | − | 0.510406i | \(-0.170505\pi\) |
−0.382829 | + | 0.923819i | \(0.625050\pi\) | |||||||
\(632\) | 0.553899 | − | 11.6278i | 0.0220329 | − | 0.462528i | ||||
\(633\) | −2.05388 | + | 32.1564i | −0.0816344 | + | 1.27810i | ||||
\(634\) | −7.78755 | − | 22.5007i | −0.309283 | − | 0.893615i | ||||
\(635\) | 4.70135 | + | 19.3792i | 0.186567 | + | 0.769041i | ||||
\(636\) | 4.32795 | + | 1.81446i | 0.171614 | + | 0.0719481i | ||||
\(637\) | −2.18645 | − | 5.52992i | −0.0866301 | − | 0.219103i | ||||
\(638\) | 6.33360 | + | 13.8686i | 0.250749 | + | 0.549065i | ||||
\(639\) | −38.8720 | − | 10.7736i | −1.53775 | − | 0.426198i | ||||
\(640\) | −2.60294 | + | 1.85355i | −0.102890 | + | 0.0732679i | ||||
\(641\) | −22.2484 | − | 17.4963i | −0.878759 | − | 0.691064i | 0.0731905 | − | 0.997318i | \(-0.476682\pi\) |
−0.951950 | + | 0.306254i | \(0.900924\pi\) | |||||||
\(642\) | 16.3314 | + | 26.3399i | 0.644548 | + | 1.03955i | ||||
\(643\) | − | 36.2893i | − | 1.43111i | −0.698556 | − | 0.715556i | \(-0.746174\pi\) | ||
0.698556 | − | 0.715556i | \(-0.253826\pi\) | |||||||
\(644\) | 3.86620 | − | 12.0852i | 0.152350 | − | 0.476224i | ||||
\(645\) | 22.3926 | + | 13.4162i | 0.881709 | + | 0.528263i | ||||
\(646\) | 2.55688 | + | 1.31816i | 0.100599 | + | 0.0518624i | ||||
\(647\) | −8.23720 | + | 10.4744i | −0.323838 | + | 0.411793i | −0.920527 | − | 0.390679i | \(-0.872240\pi\) |
0.596689 | + | 0.802472i | \(0.296483\pi\) | |||||||
\(648\) | −0.274090 | − | 8.99583i | −0.0107673 | − | 0.353389i | ||||
\(649\) | −5.83180 | + | 6.11622i | −0.228918 | + | 0.240083i | ||||
\(650\) | 4.02666 | − | 1.83891i | 0.157939 | − | 0.0721282i | ||||
\(651\) | −9.35089 | − | 15.9933i | −0.366490 | − | 0.626828i | ||||
\(652\) | 0.797822 | + | 5.54897i | 0.0312451 | + | 0.217315i | ||||
\(653\) | 14.9345 | − | 3.62306i | 0.584431 | − | 0.141781i | 0.0673669 | − | 0.997728i | \(-0.478540\pi\) |
0.517064 | + | 0.855947i | \(0.327025\pi\) | |||||||
\(654\) | 1.91422 | + | 0.401171i | 0.0748518 | + | 0.0156870i | ||||
\(655\) | 26.3108 | + | 51.0357i | 1.02805 | + | 1.99413i | ||||
\(656\) | −4.08595 | − | 0.194638i | −0.159530 | − | 0.00759934i | ||||
\(657\) | −33.5177 | − | 7.59275i | −1.30765 | − | 0.296221i | ||||
\(658\) | −2.15945 | + | 1.45484i | −0.0841843 | + | 0.0567154i | ||||
\(659\) | 5.20160 | + | 36.1779i | 0.202626 | + | 1.40929i | 0.796453 | + | 0.604700i | \(0.206707\pi\) |
−0.593827 | + | 0.804592i | \(0.702384\pi\) | |||||||
\(660\) | −6.78516 | − | 8.09147i | −0.264112 | − | 0.314960i | ||||
\(661\) | 0.454098 | − | 4.75553i | 0.0176624 | − | 0.184969i | −0.982335 | − | 0.187129i | \(-0.940082\pi\) |
0.999998 | + | 0.00216057i | \(0.000687732\pi\) | |||||||
\(662\) | −32.4349 | − | 7.86861i | −1.26062 | − | 0.305822i | ||||
\(663\) | −1.19072 | + | 2.49946i | −0.0462439 | + | 0.0970708i | ||||
\(664\) | 5.79880 | + | 0.833741i | 0.225037 | + | 0.0323554i | ||||
\(665\) | 12.8304 | + | 1.56190i | 0.497541 | + | 0.0605679i | ||||
\(666\) | 2.25621 | + | 4.21747i | 0.0874263 | + | 0.163424i | ||||
\(667\) | 33.1526 | − | 19.2254i | 1.28367 | − | 0.744411i | ||||
\(668\) | 21.7287 | + | 12.5451i | 0.840709 | + | 0.485384i | ||||
\(669\) | 36.2300 | + | 19.4264i | 1.40073 | + | 0.751068i | ||||
\(670\) | 29.0363 | − | 11.6244i | 1.12177 | − | 0.449090i | ||||
\(671\) | 4.18012 | + | 1.90900i | 0.161372 | + | 0.0736961i | ||||
\(672\) | −0.460575 | − | 4.55937i | −0.0177671 | − | 0.175882i | ||||
\(673\) | −5.90778 | − | 12.9362i | −0.227728 | − | 0.498655i | 0.760931 | − | 0.648833i | \(-0.224743\pi\) |
−0.988659 | + | 0.150178i | \(0.952015\pi\) | |||||||
\(674\) | 6.58401 | − | 19.0232i | 0.253606 | − | 0.732748i | ||||
\(675\) | −24.6193 | − | 11.2717i | −0.947598 | − | 0.433848i | ||||
\(676\) | 8.88626 | − | 8.47304i | 0.341779 | − | 0.325886i | ||||
\(677\) | −9.26545 | − | 1.78577i | −0.356100 | − | 0.0686327i | 0.00806384 | − | 0.999967i | \(-0.497433\pi\) |
−0.364164 | + | 0.931335i | \(0.618645\pi\) | |||||||
\(678\) | 5.55361 | + | 11.2145i | 0.213285 | + | 0.430690i | ||||
\(679\) | 6.16339 | − | 6.75089i | 0.236529 | − | 0.259075i | ||||
\(680\) | −4.54411 | − | 3.93749i | −0.174259 | − | 0.150996i | ||||
\(681\) | −13.6377 | − | 4.24533i | −0.522599 | − | 0.162681i | ||||
\(682\) | −2.86677 | + | 7.16084i | −0.109774 | + | 0.274203i | ||||
\(683\) | 4.99000 | + | 25.8906i | 0.190937 | + | 0.990675i | 0.943304 | + | 0.331930i | \(0.107700\pi\) |
−0.752367 | + | 0.658744i | \(0.771088\pi\) | |||||||
\(684\) | 0.583503 | − | 4.54914i | 0.0223108 | − | 0.173941i | ||||
\(685\) | 18.8074 | − | 5.52235i | 0.718594 | − | 0.210998i | ||||
\(686\) | −7.39959 | + | 16.9778i | −0.282518 | + | 0.648216i | ||||
\(687\) | 4.59136 | − | 5.64782i | 0.175171 | − | 0.215478i | ||||
\(688\) | 2.16120 | − | 4.19214i | 0.0823950 | − | 0.159824i | ||||
\(689\) | −1.15084 | + | 1.99331i | −0.0438433 | + | 0.0759389i | ||||
\(690\) | −18.5894 | + | 18.9471i | −0.707685 | + | 0.721303i | ||||
\(691\) | 25.9378 | + | 44.9257i | 0.986722 | + | 1.70905i | 0.634020 | + | 0.773317i | \(0.281404\pi\) |
0.352702 | + | 0.935736i | \(0.385263\pi\) | |||||||
\(692\) | 1.96811 | + | 3.06244i | 0.0748163 | + | 0.116416i | ||||
\(693\) | 14.8999 | − | 2.70657i | 0.566002 | − | 0.102814i | ||||
\(694\) | 9.93050 | − | 21.7448i | 0.376957 | − | 0.825420i | ||||
\(695\) | 19.6903 | + | 18.7747i | 0.746896 | + | 0.712164i | ||||
\(696\) | 8.20995 | − | 11.1431i | 0.311197 | − | 0.422377i | ||||
\(697\) | −1.45667 | − | 7.55793i | −0.0551754 | − | 0.286277i | ||||
\(698\) | −12.5909 | − | 16.0107i | −0.476573 | − | 0.606012i | ||||
\(699\) | 13.8276 | + | 14.9801i | 0.523007 | + | 0.566598i | ||||
\(700\) | −12.9073 | − | 4.84565i | −0.487851 | − | 0.183148i | ||||
\(701\) | 2.16640 | + | 1.39226i | 0.0818237 | + | 0.0525849i | 0.580913 | − | 0.813966i | \(-0.302696\pi\) |
−0.499089 | + | 0.866551i | \(0.666332\pi\) | |||||||
\(702\) | 4.39372 | + | 0.423786i | 0.165830 | + | 0.0159948i | ||||
\(703\) | 0.797210 | + | 2.30339i | 0.0300674 | + | 0.0868739i | ||||
\(704\) | −1.38084 | + | 1.31663i | −0.0520423 | + | 0.0496222i | ||||
\(705\) | 5.40334 | − | 0.687821i | 0.203502 | − | 0.0259048i | ||||
\(706\) | 4.43299 | + | 5.11595i | 0.166838 | + | 0.192541i | ||||
\(707\) | −5.22292 | + | 19.3268i | −0.196428 | + | 0.726858i | ||||
\(708\) | 7.42536 | + | 1.92914i | 0.279062 | + | 0.0725015i | ||||
\(709\) | −4.75485 | − | 49.7950i | −0.178572 | − | 1.87009i | −0.430833 | − | 0.902432i | \(-0.641780\pi\) |
0.252261 | − | 0.967659i | \(-0.418826\pi\) | |||||||
\(710\) | 33.7731 | + | 26.5595i | 1.26748 | + | 0.996760i | ||||
\(711\) | −17.9200 | − | 29.9746i | −0.672052 | − | 1.12414i | ||||
\(712\) | 5.46608 | − | 3.15584i | 0.204850 | − | 0.118270i | ||||
\(713\) | 18.6136 | + | 5.42673i | 0.697083 | + | 0.203233i | ||||
\(714\) | 8.13296 | − | 2.86481i | 0.304368 | − | 0.107213i | ||||
\(715\) | 4.35698 | − | 2.80006i | 0.162942 | − | 0.104716i | ||||
\(716\) | −9.83278 | − | 24.5611i | −0.367468 | − | 0.917892i | ||||
\(717\) | 1.08042 | + | 13.6451i | 0.0403488 | + | 0.509587i | ||||
\(718\) | 7.08807 | + | 1.71955i | 0.264524 | + | 0.0641729i | ||||
\(719\) | −38.4085 | − | 27.3506i | −1.43240 | − | 1.02001i | −0.992538 | − | 0.121938i | \(-0.961089\pi\) |
−0.439859 | − | 0.898067i | \(-0.644972\pi\) | |||||||
\(720\) | −3.42695 | + | 8.95292i | −0.127715 | + | 0.333655i | ||||
\(721\) | 17.8769 | + | 32.9062i | 0.665770 | + | 1.22549i | ||||
\(722\) | −4.69444 | + | 15.9878i | −0.174709 | + | 0.595004i | ||||
\(723\) | 6.48382 | + | 5.80462i | 0.241136 | + | 0.215876i | ||||
\(724\) | −6.10029 | − | 11.8329i | −0.226716 | − | 0.439767i | ||||
\(725\) | −19.0811 | − | 37.0121i | −0.708654 | − | 1.37460i | ||||
\(726\) | 9.49757 | + | 8.50268i | 0.352488 | + | 0.315564i | ||||
\(727\) | −13.1497 | + | 44.7838i | −0.487696 | + | 1.66094i | 0.236722 | + | 0.971577i | \(0.423927\pi\) |
−0.724418 | + | 0.689361i | \(0.757891\pi\) | |||||||
\(728\) | 2.24680 | + | 0.0582922i | 0.0832719 | + | 0.00216045i | ||||
\(729\) | −15.6195 | − | 22.0234i | −0.578499 | − | 0.815683i | ||||
\(730\) | 29.8184 | + | 21.2336i | 1.10363 | + | 0.785890i | ||||
\(731\) | 8.62450 | + | 2.09228i | 0.318989 | + | 0.0773858i | ||||
\(732\) | −0.329288 | − | 4.15876i | −0.0121708 | − | 0.153712i | ||||
\(733\) | −5.71214 | − | 14.2682i | −0.210983 | − | 0.527009i | 0.784695 | − | 0.619882i | \(-0.212819\pi\) |
−0.995678 | + | 0.0928723i | \(0.970395\pi\) | |||||||
\(734\) | −5.58121 | + | 3.58683i | −0.206006 | + | 0.132392i | ||||
\(735\) | 29.7929 | − | 24.7668i | 1.09893 | − | 0.913537i | ||||
\(736\) | 3.63046 | + | 3.13365i | 0.133820 | + | 0.115508i | ||||
\(737\) | 16.1727 | − | 9.33731i | 0.595729 | − | 0.343944i | ||||
\(738\) | −10.5330 | + | 6.29702i | −0.387724 | + | 0.231796i | ||||
\(739\) | 19.6185 | + | 15.4281i | 0.721678 | + | 0.567533i | 0.910017 | − | 0.414570i | \(-0.136068\pi\) |
−0.188340 | + | 0.982104i | \(0.560311\pi\) | |||||||
\(740\) | −0.484280 | − | 5.07161i | −0.0178025 | − | 0.186436i | ||||
\(741\) | 2.17716 | + | 0.565634i | 0.0799798 | + | 0.0207791i | ||||
\(742\) | 6.92824 | − | 1.84054i | 0.254344 | − | 0.0675684i | ||||
\(743\) | 18.0833 | + | 20.8693i | 0.663412 | + | 0.765619i | 0.983331 | − | 0.181827i | \(-0.0582009\pi\) |
−0.319918 | + | 0.947445i | \(0.603655\pi\) | |||||||
\(744\) | 6.94625 | − | 0.884226i | 0.254662 | − | 0.0324173i | ||||
\(745\) | −46.1160 | + | 43.9715i | −1.68956 | + | 1.61099i | ||||
\(746\) | 7.05724 | + | 20.3906i | 0.258384 | + | 0.746552i | ||||
\(747\) | 15.8740 | − | 7.54366i | 0.580799 | − | 0.276008i | ||||
\(748\) | −3.02014 | − | 1.94093i | −0.110427 | − | 0.0709674i | ||||
\(749\) | 44.3207 | + | 16.6388i | 1.61944 | + | 0.607970i | ||||
\(750\) | 0.791974 | + | 0.857982i | 0.0289188 | + | 0.0313291i | ||||
\(751\) | −4.43666 | − | 5.64167i | −0.161896 | − | 0.205868i | 0.698336 | − | 0.715770i | \(-0.253924\pi\) |
−0.860232 | + | 0.509902i | \(0.829682\pi\) | |||||||
\(752\) | −0.186251 | − | 0.966360i | −0.00679186 | − | 0.0352395i | ||||
\(753\) | 29.8797 | − | 40.5546i | 1.08888 | − | 1.47789i | ||||
\(754\) | 4.91298 | + | 4.68452i | 0.178920 | + | 0.170600i | ||||
\(755\) | −26.6553 | + | 58.3671i | −0.970087 | + | 2.12420i | ||||
\(756\) | −8.72020 | − | 10.6282i | −0.317151 | − | 0.386543i | ||||
\(757\) | −14.4624 | − | 22.5040i | −0.525646 | − | 0.817921i | 0.472336 | − | 0.881419i | \(-0.343411\pi\) |
−0.997982 | + | 0.0634974i | \(0.979775\pi\) | |||||||
\(758\) | 2.38837 | + | 4.13677i | 0.0867493 | + | 0.150254i | ||||
\(759\) | −9.37631 | + | 12.7773i | −0.340339 | + | 0.463787i | ||||
\(760\) | −2.44261 | + | 4.23073i | −0.0886029 | + | 0.153465i | ||||
\(761\) | 3.42200 | − | 6.63776i | 0.124048 | − | 0.240619i | −0.818632 | − | 0.574319i | \(-0.805267\pi\) |
0.942679 | + | 0.333700i | \(0.108297\pi\) | |||||||
\(762\) | 6.81826 | − | 8.38712i | 0.246999 | − | 0.303833i | ||||
\(763\) | 2.69004 | − | 1.29964i | 0.0973861 | − | 0.0470501i | ||||
\(764\) | 12.7719 | − | 3.75017i | 0.462071 | − | 0.135676i | ||||
\(765\) | −17.8916 | − | 2.29489i | −0.646871 | − | 0.0829720i | ||||
\(766\) | 2.95414 | + | 15.3276i | 0.106738 | + | 0.553807i | ||||
\(767\) | −1.39846 | + | 3.49319i | −0.0504955 | + | 0.126132i | ||||
\(768\) | 1.65378 | + | 0.514808i | 0.0596755 | + | 0.0185765i | ||||
\(769\) | 16.3580 | + | 14.1743i | 0.589884 | + | 0.511138i | 0.897874 | − | 0.440252i | \(-0.145111\pi\) |
−0.307990 | + | 0.951390i | \(0.599656\pi\) | |||||||
\(770\) | −15.7544 | − | 3.46247i | −0.567750 | − | 0.124779i | ||||
\(771\) | −0.485141 | − | 0.979654i | −0.0174719 | − | 0.0352814i | ||||
\(772\) | 14.3397 | + | 2.76375i | 0.516096 | + | 0.0994694i | ||||
\(773\) | −27.2792 | + | 26.0106i | −0.981164 | + | 0.935538i | −0.997929 | − | 0.0643217i | \(-0.979512\pi\) |
0.0167654 | + | 0.999859i | \(0.494663\pi\) | |||||||
\(774\) | −1.55933 | − | 14.0632i | −0.0560489 | − | 0.505490i | ||||
\(775\) | 6.89027 | − | 19.9081i | 0.247506 | − | 0.715121i | ||||
\(776\) | 1.43528 | + | 3.14283i | 0.0515236 | + | 0.112821i | ||||
\(777\) | 6.66250 | + | 2.99868i | 0.239016 | + | 0.107577i | ||||
\(778\) | 3.40741 | + | 1.55611i | 0.122161 | + | 0.0557893i | ||||
\(779\) | −5.80573 | + | 2.32427i | −0.208012 | + | 0.0832754i | ||||
\(780\) | −4.14363 | − | 2.22180i | −0.148366 | − | 0.0795532i | ||||
\(781\) | 22.2167 | + | 12.8268i | 0.794977 | + | 0.458980i | ||||
\(782\) | −4.11969 | + | 8.02879i | −0.147320 | + | 0.287109i | ||||
\(783\) | 2.01537 | − | 41.4738i | 0.0720233 | − | 1.48215i | ||||
\(784\) | −4.80884 | − | 5.08676i | −0.171744 | − | 0.181670i | ||||
\(785\) | 38.2593 | + | 5.50086i | 1.36553 | + | 0.196334i | ||||
\(786\) | 13.3854 | − | 28.0974i | 0.477442 | − | 1.00220i | ||||
\(787\) | −15.3310 | − | 3.71926i | −0.546492 | − | 0.132577i | −0.0469980 | − | 0.998895i | \(-0.514965\pi\) |
−0.499494 | + | 0.866318i | \(0.666481\pi\) | |||||||
\(788\) | −0.0114530 | + | 0.119942i | −0.000407998 | + | 0.00427275i | ||||
\(789\) | −18.2637 | − | 21.7799i | −0.650204 | − | 0.775384i | ||||
\(790\) | 5.29385 | + | 36.8196i | 0.188347 | + | 1.30998i | ||||
\(791\) | 17.1766 | + | 8.38934i | 0.610730 | + | 0.298291i | ||||
\(792\) | −1.26457 | + | 5.58237i | −0.0449346 | + | 0.198361i | ||||
\(793\) | 2.04376 | + | 0.0973561i | 0.0725759 | + | 0.00345722i | ||||
\(794\) | 5.73401 | + | 11.1224i | 0.203492 | + | 0.394720i | ||||
\(795\) | −14.6772 | − | 3.07596i | −0.520545 | − | 0.109093i | ||||
\(796\) | −10.4263 | + | 2.52939i | −0.369550 | + | 0.0896519i | ||||
\(797\) | 5.44809 | + | 37.8923i | 0.192981 | + | 1.34221i | 0.824064 | + | 0.566497i | \(0.191702\pi\) |
−0.631082 | + | 0.775716i | \(0.717389\pi\) | |||||||
\(798\) | −3.53610 | − | 6.04797i | −0.125176 | − | 0.214096i | ||||
\(799\) | 1.68446 | − | 0.769269i | 0.0595921 | − | 0.0272148i | ||||
\(800\) | 3.59598 | − | 3.77135i | 0.127137 | − | 0.133337i | ||||
\(801\) | 8.41924 | − | 16.9603i | 0.297479 | − | 0.599264i | ||||
\(802\) | 0.369370 | − | 0.469692i | 0.0130429 | − | 0.0165854i | ||||
\(803\) | 19.4269 | + | 10.0153i | 0.685562 | + | 0.353432i | ||||
\(804\) | −14.5427 | − | 8.71306i | −0.512882 | − | 0.307286i | ||||
\(805\) | −4.82257 | + | 40.2580i | −0.169973 | + | 1.41891i | ||||
\(806\) | 3.43432i | 0.120969i | ||||||||
\(807\) | 12.8723 | + | 20.7610i | 0.453127 | + | 0.730821i | ||||
\(808\) | −5.94796 | − | 4.67753i | −0.209249 | − | 0.164555i | ||||
\(809\) | 29.7454 | − | 21.1816i | 1.04579 | − | 0.744705i | 0.0781273 | − | 0.996943i | \(-0.475106\pi\) |
0.967665 | + | 0.252238i | \(0.0811666\pi\) | |||||||
\(810\) | 6.30020 | + | 28.0606i | 0.221366 | + | 0.985948i | ||||
\(811\) | −22.6851 | − | 49.6734i | −0.796580 | − | 1.74427i | −0.656772 | − | 0.754089i | \(-0.728079\pi\) |
−0.139808 | − | 0.990179i | \(-0.544649\pi\) | |||||||
\(812\) | −0.457932 | − | 21.1374i | −0.0160703 | − | 0.741778i | ||||
\(813\) | −25.4041 | − | 10.6505i | −0.890959 | − | 0.373528i | ||||
\(814\) | −0.717159 | − | 2.95617i | −0.0251364 | − | 0.103614i | ||||
\(815\) | −5.85905 | − | 16.9286i | −0.205234 | − | 0.592984i | ||||
\(816\) | −0.207741 | + | 3.25247i | −0.00727239 | + | 0.113859i | ||||
\(817\) | 0.343090 | − | 7.20235i | 0.0120032 | − | 0.251978i | ||||
\(818\) | −16.6156 | − | 14.3975i | −0.580951 | − | 0.503397i | ||||
\(819\) | 5.71100 | − | 3.58441i | 0.199559 | − | 0.125249i | ||||
\(820\) | 12.9383 | − | 1.86024i | 0.451824 | − | 0.0649624i | ||||
\(821\) | −24.1041 | − | 8.34250i | −0.841238 | − | 0.291155i | −0.127735 | − | 0.991808i | \(-0.540771\pi\) |
−0.713502 | + | 0.700653i | \(0.752892\pi\) | |||||||
\(822\) | −8.55370 | − | 6.30216i | −0.298345 | − | 0.219813i | ||||
\(823\) | 2.16283 | − | 8.91532i | 0.0753916 | − | 0.310769i | −0.921613 | − | 0.388110i | \(-0.873128\pi\) |
0.997005 | + | 0.0773415i | \(0.0246432\pi\) | |||||||
\(824\) | −14.0902 | + | 1.34545i | −0.490854 | + | 0.0468709i | ||||
\(825\) | 13.3621 | + | 10.8626i | 0.465207 | + | 0.378187i | ||||
\(826\) | 10.7826 | − | 4.59012i | 0.375176 | − | 0.159711i | ||||
\(827\) | −40.6115 | −1.41220 | −0.706100 | − | 0.708113i | \(-0.749547\pi\) | ||||
−0.706100 | + | 0.708113i | \(0.749547\pi\) | |||||||
\(828\) | 14.2741 | + | 1.80311i | 0.496058 | + | 0.0626622i | ||||
\(829\) | 15.2337 | − | 26.3856i | 0.529089 | − | 0.916409i | −0.470336 | − | 0.882488i | \(-0.655867\pi\) |
0.999425 | − | 0.0339212i | \(-0.0107995\pi\) | |||||||
\(830\) | −18.6992 | + | 0.890751i | −0.649057 | + | 0.0309184i | ||||
\(831\) | −0.339437 | + | 2.11701i | −0.0117749 | + | 0.0734382i | ||||
\(832\) | −0.352893 | + | 0.772729i | −0.0122344 | + | 0.0267895i | ||||
\(833\) | 7.16838 | − | 11.0500i | 0.248370 | − | 0.382860i | ||||
\(834\) | 1.63919 | − | 14.6555i | 0.0567604 | − | 0.507479i | ||||
\(835\) | −75.7651 | − | 26.2225i | −2.62196 | − | 0.907469i | ||||
\(836\) | −1.08409 | + | 2.70791i | −0.0374939 | + | 0.0936552i | ||||
\(837\) | 15.8891 | − | 13.7414i | 0.549207 | − | 0.474973i | ||||
\(838\) | −6.70065 | + | 34.7662i | −0.231470 | + | 1.20098i | ||||
\(839\) | 11.0398 | + | 7.09483i | 0.381135 | + | 0.244941i | 0.717154 | − | 0.696914i | \(-0.245444\pi\) |
−0.336019 | + | 0.941855i | \(0.609081\pi\) | |||||||
\(840\) | 4.20241 | + | 14.0275i | 0.144997 | + | 0.483994i | ||||
\(841\) | 22.8265 | − | 26.3432i | 0.787122 | − | 0.908387i | ||||
\(842\) | −8.79338 | − | 36.2468i | −0.303040 | − | 1.24915i | ||||
\(843\) | 39.1612 | − | 29.7837i | 1.34878 | − | 1.02581i | ||||
\(844\) | −18.2671 | + | 3.52070i | −0.628780 | + | 0.121187i | ||||
\(845\) | −22.7585 | + | 31.9599i | −0.782917 | + | 1.09945i | ||||
\(846\) | −2.06972 | − | 2.10550i | −0.0711584 | − | 0.0723886i | ||||
\(847\) | 19.4195 | + | 1.43067i | 0.667263 | + | 0.0491583i | ||||
\(848\) | −0.385596 | + | 2.68188i | −0.0132414 | + | 0.0920960i | ||||
\(849\) | 18.1036 | + | 29.1982i | 0.621313 | + | 1.00208i | ||||
\(850\) | 8.49153 | + | 4.90259i | 0.291257 | + | 0.168157i | ||||
\(851\) | −7.22089 | + | 2.51467i | −0.247529 | + | 0.0862018i | ||||
\(852\) | 0.376916 | − | 23.2857i | 0.0129129 | − | 0.797756i | ||||
\(853\) | −6.49249 | + | 4.17247i | −0.222299 | + | 0.142863i | −0.647051 | − | 0.762447i | \(-0.723998\pi\) |
0.424752 | + | 0.905310i | \(0.360361\pi\) | |||||||
\(854\) | −4.27642 | − | 4.72449i | −0.146336 | − | 0.161669i | ||||
\(855\) | 0.920203 | + | 14.6268i | 0.0314703 | + | 0.500225i | ||||
\(856\) | −12.3478 | + | 12.9500i | −0.422038 | + | 0.442620i | ||||
\(857\) | 0.886113 | − | 9.27980i | 0.0302691 | − | 0.316992i | −0.967639 | − | 0.252339i | \(-0.918800\pi\) |
0.997908 | − | 0.0646525i | \(-0.0205939\pi\) | |||||||
\(858\) | −2.63767 | − | 0.960986i | −0.0900487 | − | 0.0328075i | ||||
\(859\) | 0.698197 | − | 0.549068i | 0.0238222 | − | 0.0187340i | −0.606177 | − | 0.795330i | \(-0.707298\pi\) |
0.629999 | + | 0.776596i | \(0.283055\pi\) | |||||||
\(860\) | −4.24605 | + | 14.4607i | −0.144789 | + | 0.493107i | ||||
\(861\) | −6.87157 | + | 17.4405i | −0.234183 | + | 0.594372i | ||||
\(862\) | −10.2784 | + | 15.9935i | −0.350084 | + | 0.544741i | ||||
\(863\) | −17.6057 | − | 0.838662i | −0.599304 | − | 0.0285484i | −0.254262 | − | 0.967135i | \(-0.581832\pi\) |
−0.345042 | + | 0.938587i | \(0.612135\pi\) | |||||||
\(864\) | 4.98707 | − | 1.45916i | 0.169664 | − | 0.0496416i | ||||
\(865\) | −8.02736 | − | 8.41885i | −0.272938 | − | 0.286249i | ||||
\(866\) | −23.8401 | + | 18.7480i | −0.810119 | + | 0.637084i | ||||
\(867\) | 22.9595 | − | 4.04084i | 0.779746 | − | 0.137234i | ||||
\(868\) | 7.57951 | − | 7.54716i | 0.257265 | − | 0.256167i | ||||
\(869\) | 6.25733 | + | 21.3105i | 0.212265 | + | 0.722909i | ||||
\(870\) | −19.0217 | + | 39.9287i | −0.644898 | + | 1.35371i | ||||
\(871\) | 5.13984 | − | 6.53584i | 0.174157 | − | 0.221459i | ||||
\(872\) | 0.0537287 | + | 1.12790i | 0.00181948 | + | 0.0381957i | ||||
\(873\) | 8.80407 | + | 5.47039i | 0.297972 | + | 0.185145i | ||||
\(874\) | 7.03883 | + | 2.05215i | 0.238092 | + | 0.0694151i | ||||
\(875\) | 1.75825 | + | 0.299533i | 0.0594397 | + | 0.0101260i | ||||
\(876\) | −0.623221 | − | 19.8320i | −0.0210567 | − | 0.670060i | ||||
\(877\) | 37.1687 | − | 14.8801i | 1.25510 | − | 0.502466i | 0.353661 | − | 0.935374i | \(-0.384937\pi\) |
0.901438 | + | 0.432908i | \(0.142512\pi\) | |||||||
\(878\) | −0.763443 | + | 0.543645i | −0.0257650 | + | 0.0183471i | ||||
\(879\) | −6.27366 | − | 6.17883i | −0.211605 | − | 0.208407i | ||||
\(880\) | 3.53645 | − | 4.96625i | 0.119214 | − | 0.167412i | ||||
\(881\) | 33.2723 | + | 38.3983i | 1.12097 | + | 1.29367i | 0.951332 | + | 0.308166i | \(0.0997154\pi\) |
0.169641 | + | 0.985506i | \(0.445739\pi\) | |||||||
\(882\) | −20.4610 | − | 4.72714i | −0.688959 | − | 0.159171i | ||||
\(883\) | 1.82773 | + | 0.536671i | 0.0615082 | + | 0.0180604i | 0.312342 | − | 0.949970i | \(-0.398887\pi\) |
−0.250834 | + | 0.968030i | \(0.580705\pi\) | |||||||
\(884\) | −1.56956 | − | 0.302508i | −0.0527901 | − | 0.0101745i | ||||
\(885\) | −24.4653 | − | 1.56264i | −0.822392 | − | 0.0525276i | ||||
\(886\) | −14.0715 | + | 7.25437i | −0.472742 | + | 0.243715i | ||||
\(887\) | −8.17019 | + | 42.3910i | −0.274328 | + | 1.42335i | 0.539374 | + | 0.842067i | \(0.318661\pi\) |
−0.813702 | + | 0.581283i | \(0.802551\pi\) | |||||||
\(888\) | −2.02917 | + | 1.87305i | −0.0680944 | + | 0.0628556i | ||||
\(889\) | 0.428223 | − | 16.5053i | 0.0143622 | − | 0.553571i | ||||
\(890\) | −15.2425 | + | 13.2077i | −0.510930 | + | 0.442724i | ||||
\(891\) | 6.10780 | + | 16.0484i | 0.204619 | + | 0.537643i | ||||
\(892\) | −5.59565 | + | 23.0656i | −0.187356 | + | 0.772293i | ||||
\(893\) | −0.872732 | − | 1.22558i | −0.0292049 | − | 0.0410125i | ||||
\(894\) | 34.1026 | + | 5.46794i | 1.14056 | + | 0.182875i | ||||
\(895\) | 45.7057 | + | 71.1194i | 1.52777 | + | 2.37726i | ||||
\(896\) | 2.48091 | − | 0.919291i | 0.0828813 | − | 0.0307114i | ||||
\(897\) | −1.76130 | + | 6.83309i | −0.0588082 | + | 0.228150i | ||||
\(898\) | 10.9401 | + | 18.9488i | 0.365076 | + | 0.632330i | ||||
\(899\) | 32.2695 | − | 1.53719i | 1.07625 | − | 0.0512681i | ||||
\(900\) | 2.72443 | − | 15.3937i | 0.0908144 | − | 0.513122i | ||||
\(901\) | −5.07514 | + | 0.484617i | −0.169077 | + | 0.0161449i | ||||
\(902\) | 7.48843 | − | 2.19880i | 0.249338 | − | 0.0732121i | ||||
\(903\) | −15.0004 | − | 15.5605i | −0.499183 | − | 0.517821i | ||||
\(904\) | −5.46039 | + | 4.73145i | −0.181610 | + | 0.157366i | ||||
\(905\) | 26.2969 | + | 33.4392i | 0.874138 | + | 1.11156i | ||||
\(906\) | 33.9279 | − | 7.65159i | 1.12718 | − | 0.254207i | ||||
\(907\) | 42.3143 | − | 14.6451i | 1.40502 | − | 0.486283i | 0.483753 | − | 0.875205i | \(-0.339273\pi\) |
0.921271 | + | 0.388921i | \(0.127152\pi\) | |||||||
\(908\) | 0.392381 | − | 8.23709i | 0.0130216 | − | 0.273357i | ||||
\(909\) | −22.6281 | − | 1.81344i | −0.750525 | − | 0.0601479i | ||||
\(910\) | −7.08506 | + | 1.17584i | −0.234868 | + | 0.0389786i | ||||
\(911\) | −17.5524 | − | 5.15385i | −0.581537 | − | 0.170755i | −0.0222838 | − | 0.999752i | \(-0.507094\pi\) |
−0.559253 | + | 0.828997i | \(0.688912\pi\) | |||||||
\(912\) | 2.62677 | − | 0.334375i | 0.0869809 | − | 0.0110723i | ||||
\(913\) | −10.9755 | + | 2.11536i | −0.363236 | + | 0.0700080i | ||||
\(914\) | 7.37073 | + | 0.703819i | 0.243802 | + | 0.0232803i | ||||
\(915\) | 3.54820 | + | 12.8499i | 0.117300 | + | 0.424803i | ||||
\(916\) | 3.82256 | + | 1.74571i | 0.126301 | + | 0.0576797i | ||||
\(917\) | −10.0062 | − | 46.4761i | −0.330434 | − | 1.53478i | ||||
\(918\) | 4.88056 | + | 8.47206i | 0.161082 | + | 0.279620i | ||||
\(919\) | −18.7872 | + | 10.8468i | −0.619732 | + | 0.357802i | −0.776765 | − | 0.629791i | \(-0.783140\pi\) |
0.157033 | + | 0.987593i | \(0.449807\pi\) | |||||||
\(920\) | −13.2864 | − | 7.63701i | −0.438039 | − | 0.251785i | ||||
\(921\) | 22.3741 | + | 40.2435i | 0.737252 | + | 1.32607i | ||||
\(922\) | 25.8269 | + | 13.3147i | 0.850563 | + | 0.438496i | ||||
\(923\) | 11.3059 | + | 1.62554i | 0.372137 | + | 0.0535053i | ||||
\(924\) | 3.67558 | + | 7.93314i | 0.120918 | + | 0.260981i | ||||
\(925\) | 2.34066 | + | 7.97156i | 0.0769605 | + | 0.262103i | ||||
\(926\) | 10.0385 | + | 7.14838i | 0.329885 | + | 0.234910i | ||||
\(927\) | −32.9744 | + | 26.7540i | −1.08302 | + | 0.878717i | ||||
\(928\) | 7.41865 | + | 2.96998i | 0.243529 | + | 0.0974943i | ||||
\(929\) | 18.0735 | − | 4.38458i | 0.592971 | − | 0.143853i | 0.0719665 | − | 0.997407i | \(-0.477073\pi\) |
0.521005 | + | 0.853554i | \(0.325557\pi\) | |||||||
\(930\) | −21.2606 | + | 6.97516i | −0.697163 | + | 0.228724i | ||||
\(931\) | −9.91793 | − | 4.01985i | −0.325047 | − | 0.131745i | ||||
\(932\) | −6.36339 | + | 9.90162i | −0.208440 | + | 0.324338i | ||||
\(933\) | −41.9346 | − | 37.5419i | −1.37288 | − | 1.22907i | ||||
\(934\) | −17.8004 | − | 18.6686i | −0.582448 | − | 0.610854i | ||||
\(935\) | 10.6501 | + | 4.26366i | 0.348296 | + | 0.139437i | ||||
\(936\) | 0.401061 | + | 2.51673i | 0.0131091 | + | 0.0822619i | ||||
\(937\) | 12.3349 | − | 5.63317i | 0.402964 | − | 0.184028i | −0.203614 | − | 0.979051i | \(-0.565269\pi\) |
0.606579 | + | 0.795023i | \(0.292542\pi\) | |||||||
\(938\) | −25.7197 | + | 3.01938i | −0.839777 | + | 0.0985863i | ||||
\(939\) | −14.1584 | + | 9.74069i | −0.462041 | + | 0.317875i | ||||
\(940\) | 1.16880 | + | 2.91953i | 0.0381221 | + | 0.0952245i | ||||
\(941\) | −0.630863 | − | 13.2434i | −0.0205655 | − | 0.431724i | −0.985547 | − | 0.169404i | \(-0.945816\pi\) |
0.964981 | − | 0.262320i | \(-0.0844874\pi\) | |||||||
\(942\) | −10.1805 | − | 18.3114i | −0.331700 | − | 0.596617i | ||||
\(943\) | −7.32606 | − | 18.1985i | −0.238569 | − | 0.592625i | ||||
\(944\) | 4.42935i | 0.144163i | ||||||||
\(945\) | 33.7888 | + | 28.0747i | 1.09915 | + | 0.913270i | ||||
\(946\) | −1.28064 | + | 8.90708i | −0.0416373 | + | 0.289594i | ||||
\(947\) | −0.633153 | − | 6.63068i | −0.0205747 | − | 0.215468i | −0.999912 | − | 0.0132363i | \(-0.995787\pi\) |
0.979338 | − | 0.202232i | \(-0.0648194\pi\) | |||||||
\(948\) | 14.1482 | − | 14.3653i | 0.459513 | − | 0.466565i | ||||
\(949\) | 9.68745 | + | 0.925040i | 0.314468 | + | 0.0300281i | ||||
\(950\) | 2.60560 | − | 7.52838i | 0.0845368 | − | 0.244253i | ||||
\(951\) | 15.9452 | − | 38.0332i | 0.517058 | − | 1.23331i | ||||
\(952\) | 2.78158 | + | 4.12878i | 0.0901516 | + | 0.133815i | ||||
\(953\) | −35.5148 | + | 40.9862i | −1.15044 | + | 1.32767i | −0.214001 | + | 0.976833i | \(0.568650\pi\) |
−0.936435 | + | 0.350841i | \(0.885896\pi\) | |||||||
\(954\) | 3.48885 | + | 7.34154i | 0.112956 | + | 0.237691i | ||||
\(955\) | −37.8067 | + | 19.4907i | −1.22340 | + | 0.630704i | ||||
\(956\) | −7.46804 | + | 2.58471i | −0.241534 | + | 0.0835956i | ||||
\(957\) | −7.84898 | + | 25.2142i | −0.253722 | + | 0.815058i | ||||
\(958\) | −12.2131 | + | 1.75598i | −0.394589 | + | 0.0567333i | ||||
\(959\) | −16.2256 | + | 0.351520i | −0.523952 | + | 0.0113512i | ||||
\(960\) | −5.50040 | − | 0.615208i | −0.177525 | − | 0.0198558i | ||||
\(961\) | −10.6070 | − | 10.1137i | −0.342161 | − | 0.326250i | ||||
\(962\) | −0.785625 | − | 1.10326i | −0.0253296 | − | 0.0355704i | ||||
\(963\) | −9.35506 | + | 52.8583i | −0.301463 | + | 1.70333i | ||||
\(964\) | −2.30231 | + | 4.46586i | −0.0741524 | + | 0.143836i | ||||
\(965\) | −46.6652 | −1.50221 | ||||||||
\(966\) | 18.9511 | − | 11.1290i | 0.609743 | − | 0.358070i | ||||
\(967\) | −17.8040 | −0.572538 | −0.286269 | − | 0.958149i | \(-0.592415\pi\) | ||||
−0.286269 | + | 0.958149i | \(0.592415\pi\) | |||||||
\(968\) | −3.37245 | + | 6.54164i | −0.108395 | + | 0.210256i | ||||
\(969\) | 1.77671 | + | 4.65498i | 0.0570762 | + | 0.149539i | ||||
\(970\) | −6.40412 | − | 8.99332i | −0.205624 | − | 0.288758i | ||||
\(971\) | 37.5333 | + | 35.7879i | 1.20450 | + | 1.14849i | 0.984941 | + | 0.172889i | \(0.0553102\pi\) |
0.219559 | + | 0.975599i | \(0.429538\pi\) | |||||||
\(972\) | 10.0391 | − | 11.9255i | 0.322003 | − | 0.382510i | ||||
\(973\) | −11.6830 | − | 19.2598i | −0.374541 | − | 0.617440i | ||||
\(974\) | −20.2657 | + | 2.91376i | −0.649354 | + | 0.0933629i | ||||
\(975\) | 7.32076 | + | 2.27890i | 0.234452 | + | 0.0729831i | ||||
\(976\) | 2.27610 | − | 0.787767i | 0.0728563 | − | 0.0252158i | ||||
\(977\) | −41.5760 | + | 21.4339i | −1.33013 | + | 0.685731i | −0.969064 | − | 0.246808i | \(-0.920618\pi\) |
−0.361069 | + | 0.932539i | \(0.617588\pi\) | |||||||
\(978\) | −5.38110 | + | 8.08249i | −0.172069 | + | 0.258449i | ||||
\(979\) | −7.88602 | + | 9.10096i | −0.252038 | + | 0.290868i | ||||
\(980\) | 18.1649 | + | 13.0527i | 0.580258 | + | 0.416952i | ||||
\(981\) | 2.00677 | + | 2.72917i | 0.0640712 | + | 0.0871358i | ||||
\(982\) | 13.3065 | − | 38.4466i | 0.424628 | − | 1.22688i | ||||
\(983\) | 30.9917 | + | 2.95935i | 0.988482 | + | 0.0943886i | 0.576754 | − | 0.816918i | \(-0.304319\pi\) |
0.411728 | + | 0.911307i | \(0.364925\pi\) | |||||||
\(984\) | −5.04793 | − | 4.97163i | −0.160922 | − | 0.158490i | ||||
\(985\) | −0.0365977 | − | 0.383269i | −0.00116610 | − | 0.0122120i | ||||
\(986\) | −2.13989 | + | 14.8833i | −0.0681481 | + | 0.473980i | ||||
\(987\) | −4.46746 | − | 0.617374i | −0.142201 | − | 0.0196512i | ||||
\(988\) | 1.29871i | 0.0413175i | ||||||||
\(989\) | 22.5957 | + | 1.03300i | 0.718501 | + | 0.0328474i | ||||
\(990\) | 0.591956 | − | 18.2806i | 0.0188136 | − | 0.580996i | ||||
\(991\) | −2.57959 | − | 54.1523i | −0.0819435 | − | 1.72021i | −0.548869 | − | 0.835909i | \(-0.684941\pi\) |
0.466925 | − | 0.884297i | \(-0.345362\pi\) | |||||||
\(992\) | 1.50255 | + | 3.75319i | 0.0477060 | + | 0.119164i | ||||
\(993\) | −32.7656 | − | 47.6258i | −1.03979 | − | 1.51136i | ||||
\(994\) | −21.2579 | − | 28.5241i | −0.674259 | − | 0.904731i | ||||
\(995\) | 31.1851 | − | 14.2417i | 0.988633 | − | 0.451494i | ||||
\(996\) | 6.51995 | + | 7.77520i | 0.206592 | + | 0.246367i | ||||
\(997\) | 44.8831 | + | 17.9685i | 1.42146 | + | 0.569067i | 0.949841 | − | 0.312734i | \(-0.101245\pi\) |
0.471621 | + | 0.881801i | \(0.343669\pi\) | |||||||
\(998\) | 17.1944 | + | 18.0329i | 0.544278 | + | 0.570823i | ||||
\(999\) | −1.96083 | + | 8.04909i | −0.0620380 | + | 0.254662i |
(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 | 966.2.bf.a.11.3 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bf.a.11.50 | yes | 1280 | |
7.2 | even | 3 | inner | 966.2.bf.a.149.50 | yes | 1280 | |
21.2 | odd | 6 | inner | 966.2.bf.a.149.25 | yes | 1280 | |
23.21 | odd | 22 | inner | 966.2.bf.a.389.25 | yes | 1280 | |
69.44 | even | 22 | inner | 966.2.bf.a.389.50 | yes | 1280 | |
161.44 | odd | 66 | inner | 966.2.bf.a.527.50 | yes | 1280 | |
483.44 | even | 66 | inner | 966.2.bf.a.527.3 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bf.a.11.3 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bf.a.11.50 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bf.a.149.25 | yes | 1280 | 21.2 | odd | 6 | inner | |
966.2.bf.a.149.50 | yes | 1280 | 7.2 | even | 3 | inner | |
966.2.bf.a.389.25 | yes | 1280 | 23.21 | odd | 22 | inner | |
966.2.bf.a.389.50 | yes | 1280 | 69.44 | even | 22 | inner | |
966.2.bf.a.527.3 | yes | 1280 | 483.44 | even | 66 | inner | |
966.2.bf.a.527.50 | yes | 1280 | 161.44 | odd | 66 | inner |