Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(37,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.n (of order \(15\), degree \(8\), not 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 91.5 | ||
Character | \(\chi\) | \(=\) | 297.91 |
Dual form | 297.2.n.b.235.5 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.448089 | + | 0.199502i | 0.316846 | + | 0.141069i | 0.558997 | − | 0.829169i | \(-0.311186\pi\) |
−0.242151 | + | 0.970239i | \(0.577853\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.17728 | − | 1.30750i | −0.588639 | − | 0.653750i | ||||
\(5\) | −1.56050 | + | 0.694778i | −0.697876 | + | 0.310714i | −0.724835 | − | 0.688922i | \(-0.758084\pi\) |
0.0269596 | + | 0.999637i | \(0.491417\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.33599 | + | 0.709088i | −1.26089 | + | 0.268010i | −0.789409 | − | 0.613868i | \(-0.789613\pi\) |
−0.471478 | + | 0.881878i | \(0.656280\pi\) | |||||||
\(8\) | −0.569818 | − | 1.75372i | −0.201461 | − | 0.620034i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.837851 | −0.264952 | ||||||||
\(11\) | −3.25533 | + | 0.634703i | −0.981518 | + | 0.191370i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.417897 | + | 3.97602i | 0.115904 | + | 1.10275i | 0.885635 | + | 0.464382i | \(0.153724\pi\) |
−0.769731 | + | 0.638368i | \(0.779610\pi\) | |||||||
\(14\) | −1.63629 | − | 0.347803i | −0.437316 | − | 0.0929543i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.273277 | + | 2.60005i | −0.0683191 | + | 0.650013i | ||||
\(17\) | −2.67346 | − | 1.94238i | −0.648409 | − | 0.471097i | 0.214320 | − | 0.976763i | \(-0.431246\pi\) |
−0.862729 | + | 0.505667i | \(0.831246\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.36513 | − | 4.20144i | −0.313182 | − | 0.963875i | −0.976496 | − | 0.215534i | \(-0.930851\pi\) |
0.663314 | − | 0.748341i | \(-0.269149\pi\) | |||||||
\(20\) | 2.74556 | + | 1.22240i | 0.613927 | + | 0.273338i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.58530 | − | 0.365040i | −0.337987 | − | 0.0778269i | ||||
\(23\) | 3.74601 | − | 6.48827i | 0.781096 | − | 1.35290i | −0.150208 | − | 0.988654i | \(-0.547994\pi\) |
0.931304 | − | 0.364244i | \(-0.118672\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.39322 | + | 1.54733i | −0.278644 | + | 0.309465i | ||||
\(26\) | −0.605969 | + | 1.86498i | −0.118840 | + | 0.365753i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.85453 | + | 3.52702i | 0.917420 | + | 0.666544i | ||||
\(29\) | 1.65433 | − | 0.351639i | 0.307201 | − | 0.0652977i | −0.0517316 | − | 0.998661i | \(-0.516474\pi\) |
0.358933 | + | 0.933363i | \(0.383141\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.407506 | + | 3.87716i | 0.0731902 | + | 0.696358i | 0.968177 | + | 0.250266i | \(0.0805181\pi\) |
−0.894987 | + | 0.446092i | \(0.852815\pi\) | |||||||
\(32\) | −2.48514 | + | 4.30439i | −0.439315 | + | 0.760915i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.810437 | − | 1.40372i | −0.138989 | − | 0.240736i | ||||
\(35\) | 4.71315 | − | 3.42431i | 0.796668 | − | 0.578813i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.947300 | − | 2.91549i | 0.155735 | − | 0.479304i | −0.842499 | − | 0.538697i | \(-0.818917\pi\) |
0.998235 | + | 0.0593935i | \(0.0189167\pi\) | |||||||
\(38\) | 0.226496 | − | 2.15496i | 0.0367424 | − | 0.349581i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.10765 | + | 2.34078i | 0.333248 | + | 0.370110i | ||||
\(41\) | 0.382333 | + | 0.0812674i | 0.0597104 | + | 0.0126918i | 0.237670 | − | 0.971346i | \(-0.423616\pi\) |
−0.177960 | + | 0.984038i | \(0.556950\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.80634 | − | 8.32483i | −0.732960 | − | 1.26952i | −0.955613 | − | 0.294626i | \(-0.904805\pi\) |
0.222652 | − | 0.974898i | \(-0.428529\pi\) | |||||||
\(44\) | 4.66230 | + | 3.50912i | 0.702869 | + | 0.529020i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.97296 | − | 2.15999i | 0.438340 | − | 0.318472i | ||||
\(47\) | 0.722834 | − | 0.802788i | 0.105436 | − | 0.117099i | −0.688117 | − | 0.725600i | \(-0.741562\pi\) |
0.793553 | + | 0.608501i | \(0.208229\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.23124 | − | 1.88387i | 0.604462 | − | 0.269124i | ||||
\(50\) | −0.932979 | + | 0.415389i | −0.131943 | + | 0.0587449i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.70667 | − | 5.22729i | 0.652698 | − | 0.724894i | ||||
\(53\) | −10.1643 | + | 7.38480i | −1.39618 | + | 1.01438i | −0.401020 | + | 0.916069i | \(0.631344\pi\) |
−0.995156 | + | 0.0983117i | \(0.968656\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.63895 | − | 3.25218i | 0.625516 | − | 0.438524i | ||||
\(56\) | 3.14445 | + | 5.44635i | 0.420195 | + | 0.727799i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.811439 | + | 0.172477i | 0.106547 | + | 0.0226473i | ||||
\(59\) | 2.44670 | + | 2.71734i | 0.318534 | + | 0.353768i | 0.881054 | − | 0.473016i | \(-0.156835\pi\) |
−0.562520 | + | 0.826784i | \(0.690168\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.402767 | − | 3.83207i | 0.0515690 | − | 0.490646i | −0.938005 | − | 0.346621i | \(-0.887329\pi\) |
0.989574 | − | 0.144025i | \(-0.0460045\pi\) | |||||||
\(62\) | −0.590902 | + | 1.81861i | −0.0750446 | + | 0.230964i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.25785 | − | 1.64043i | 0.282232 | − | 0.205053i | ||||
\(65\) | −3.41458 | − | 5.91423i | −0.423527 | − | 0.733570i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.55060 | + | 2.68572i | −0.189436 | + | 0.328113i | −0.945062 | − | 0.326890i | \(-0.893999\pi\) |
0.755626 | + | 0.655003i | \(0.227333\pi\) | |||||||
\(68\) | 0.607741 | + | 5.78227i | 0.0736994 | + | 0.701203i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.79506 | − | 0.594109i | 0.334074 | − | 0.0710097i | ||||
\(71\) | 5.67699 | + | 4.12458i | 0.673735 | + | 0.489497i | 0.871273 | − | 0.490798i | \(-0.163295\pi\) |
−0.197538 | + | 0.980295i | \(0.563295\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.64842 | + | 14.3064i | −0.544057 | + | 1.67443i | 0.179165 | + | 0.983819i | \(0.442660\pi\) |
−0.723222 | + | 0.690615i | \(0.757340\pi\) | |||||||
\(74\) | 1.00612 | − | 1.11741i | 0.116959 | − | 0.129896i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.88624 | + | 6.73117i | −0.445783 | + | 0.772118i | ||||
\(77\) | 10.4097 | − | 4.42568i | 1.18629 | − | 0.504353i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.65339 | − | 1.62659i | −0.411038 | − | 0.183006i | 0.190791 | − | 0.981631i | \(-0.438895\pi\) |
−0.601829 | + | 0.798625i | \(0.705561\pi\) | |||||||
\(80\) | −1.38001 | − | 4.24724i | −0.154290 | − | 0.474856i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.155106 | + | 0.112691i | 0.0171286 | + | 0.0124447i | ||||
\(83\) | −0.0130625 | + | 0.124281i | −0.00143379 | + | 0.0136416i | −0.995215 | − | 0.0977052i | \(-0.968850\pi\) |
0.993782 | + | 0.111347i | \(0.0355164\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.52145 | + | 1.17362i | 0.598885 | + | 0.127297i | ||||
\(86\) | −0.492848 | − | 4.68913i | −0.0531451 | − | 0.505642i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.96804 | + | 5.34727i | 0.316394 | + | 0.570021i | ||||
\(89\) | 7.93327 | 0.840925 | 0.420462 | − | 0.907310i | \(-0.361868\pi\) | ||||
0.420462 | + | 0.907310i | \(0.361868\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.21345 | − | 12.9677i | −0.441690 | − | 1.35938i | ||||
\(92\) | −12.8935 | + | 2.74060i | −1.34424 | + | 0.285727i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.484051 | − | 0.215514i | 0.0499261 | − | 0.0222285i | ||||
\(95\) | 5.04935 | + | 5.60787i | 0.518052 | + | 0.575355i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.313492 | + | 0.139576i | 0.0318303 | + | 0.0141718i | 0.422590 | − | 0.906321i | \(-0.361121\pi\) |
−0.390760 | + | 0.920493i | \(0.627788\pi\) | |||||||
\(98\) | 2.27180 | 0.229487 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.66333 | 0.366333 | ||||||||
\(101\) | −6.50041 | − | 2.89417i | −0.646815 | − | 0.287981i | 0.0569891 | − | 0.998375i | \(-0.481850\pi\) |
−0.703804 | + | 0.710394i | \(0.748517\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.10693 | − | 1.22938i | −0.109069 | − | 0.121134i | 0.686138 | − | 0.727472i | \(-0.259305\pi\) |
−0.795207 | + | 0.606338i | \(0.792638\pi\) | |||||||
\(104\) | 6.73471 | − | 2.99848i | 0.660392 | − | 0.294026i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.02779 | + | 1.28125i | −0.585471 | + | 0.124446i | ||||
\(107\) | −1.02187 | − | 3.14498i | −0.0987876 | − | 0.304037i | 0.889435 | − | 0.457062i | \(-0.151098\pi\) |
−0.988222 | + | 0.153025i | \(0.951098\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50709 | −0.527484 | −0.263742 | − | 0.964593i | \(-0.584957\pi\) | ||||
−0.263742 | + | 0.964593i | \(0.584957\pi\) | |||||||
\(110\) | 2.72748 | − | 0.531787i | 0.260055 | − | 0.0507039i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.932016 | − | 8.86754i | −0.0880672 | − | 0.837904i | ||||
\(113\) | −16.0506 | − | 3.41167i | −1.50992 | − | 0.320943i | −0.622761 | − | 0.782412i | \(-0.713989\pi\) |
−0.887156 | + | 0.461469i | \(0.847323\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.33772 | + | 12.7276i | −0.124743 | + | 1.18685i | ||||
\(116\) | −2.40738 | − | 1.74906i | −0.223519 | − | 0.162396i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.554226 | + | 1.70573i | 0.0510206 | + | 0.157025i | ||||
\(119\) | 10.2960 | + | 4.58406i | 0.943829 | + | 0.420220i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.1943 | − | 4.13233i | 0.926755 | − | 0.375667i | ||||
\(122\) | 0.944980 | − | 1.63675i | 0.0855545 | − | 0.148185i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.58964 | − | 5.09731i | 0.412162 | − | 0.457752i | ||||
\(125\) | 3.73834 | − | 11.5054i | 0.334368 | − | 1.02908i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.73327 | − | 6.34509i | −0.774952 | − | 0.563036i | 0.128508 | − | 0.991709i | \(-0.458981\pi\) |
−0.903460 | + | 0.428673i | \(0.858981\pi\) | |||||||
\(128\) | 11.0623 | − | 2.35137i | 0.977780 | − | 0.207833i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.350135 | − | 3.33131i | −0.0307089 | − | 0.292175i | ||||
\(131\) | −10.5778 | + | 18.3213i | −0.924189 | + | 1.60074i | −0.131329 | + | 0.991339i | \(0.541925\pi\) |
−0.792860 | + | 0.609404i | \(0.791409\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.53325 | + | 13.0480i | 0.653216 | + | 1.13140i | ||||
\(134\) | −1.23061 | + | 0.894092i | −0.106309 | + | 0.0772378i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.88301 | + | 5.79530i | −0.161467 | + | 0.496943i | ||||
\(137\) | 0.334546 | − | 3.18299i | 0.0285822 | − | 0.271941i | −0.970892 | − | 0.239518i | \(-0.923011\pi\) |
0.999474 | − | 0.0324237i | \(-0.0103226\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.0327 | − | 11.1425i | −0.850963 | − | 0.945090i | 0.148073 | − | 0.988976i | \(-0.452693\pi\) |
−0.999037 | + | 0.0438860i | \(0.986026\pi\) | |||||||
\(140\) | −10.0260 | − | 2.13109i | −0.847350 | − | 0.180110i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.72094 | + | 2.98075i | 0.144418 | + | 0.250139i | ||||
\(143\) | −3.88399 | − | 12.6780i | −0.324795 | − | 1.06019i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.33727 | + | 1.69812i | −0.194099 | + | 0.141021i | ||||
\(146\) | −4.93705 | + | 5.48315i | −0.408593 | + | 0.453789i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.92724 | + | 2.19375i | −0.405017 | + | 0.180325i | ||||
\(149\) | −3.70089 | + | 1.64774i | −0.303188 | + | 0.134988i | −0.552692 | − | 0.833386i | \(-0.686399\pi\) |
0.249503 | + | 0.968374i | \(0.419733\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.21519 | + | 5.79206i | −0.424406 | + | 0.471351i | −0.916988 | − | 0.398915i | \(-0.869387\pi\) |
0.492581 | + | 0.870266i | \(0.336053\pi\) | |||||||
\(152\) | −6.59027 | + | 4.78811i | −0.534541 | + | 0.388367i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.54740 | + | 0.0936570i | 0.447022 | + | 0.00754709i | ||||
\(155\) | −3.32968 | − | 5.76717i | −0.267446 | − | 0.463230i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.302396 | − | 0.0642763i | −0.0241339 | − | 0.00512981i | 0.195829 | − | 0.980638i | \(-0.437260\pi\) |
−0.219963 | + | 0.975508i | \(0.570594\pi\) | |||||||
\(158\) | −1.31253 | − | 1.45772i | −0.104419 | − | 0.115970i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.887458 | − | 8.44360i | 0.0701597 | − | 0.667525i | ||||
\(161\) | −7.89590 | + | 24.3011i | −0.622284 | + | 1.91519i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.89442 | + | 6.46217i | −0.696665 | + | 0.506157i | −0.878844 | − | 0.477109i | \(-0.841685\pi\) |
0.182179 | + | 0.983265i | \(0.441685\pi\) | |||||||
\(164\) | −0.343855 | − | 0.595575i | −0.0268506 | − | 0.0465066i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0306475 | + | 0.0530830i | −0.00237871 | + | 0.00412004i | ||||
\(167\) | −1.83697 | − | 17.4776i | −0.142149 | − | 1.35246i | −0.800313 | − | 0.599582i | \(-0.795333\pi\) |
0.658164 | − | 0.752874i | \(-0.271333\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.91820 | + | 0.620282i | −0.224477 | + | 0.0477140i | ||||
\(170\) | 2.23996 | + | 1.62742i | 0.171797 | + | 0.124818i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.22631 | + | 16.0849i | −0.398503 | + | 1.22646i | ||||
\(173\) | −8.27429 | + | 9.18953i | −0.629083 | + | 0.698667i | −0.970461 | − | 0.241259i | \(-0.922440\pi\) |
0.341378 | + | 0.939926i | \(0.389106\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.55058 | − | 6.14978i | 0.268398 | − | 0.464880i | ||||
\(176\) | −0.760658 | − | 8.63747i | −0.0573368 | − | 0.651074i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.55481 | + | 1.58270i | 0.266444 | + | 0.118628i | ||||
\(179\) | −6.76200 | − | 20.8113i | −0.505416 | − | 1.55551i | −0.800071 | − | 0.599906i | \(-0.795205\pi\) |
0.294655 | − | 0.955604i | \(-0.404795\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.54364 | + | 2.57460i | 0.263396 | + | 0.191369i | 0.711643 | − | 0.702541i | \(-0.247951\pi\) |
−0.448247 | + | 0.893910i | \(0.647951\pi\) | |||||||
\(182\) | 0.699075 | − | 6.65125i | 0.0518189 | − | 0.493024i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −13.5132 | − | 2.87231i | −0.996203 | − | 0.211750i | ||||
\(185\) | 0.547360 | + | 5.20778i | 0.0402427 | + | 0.382884i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.93581 | + | 4.62623i | 0.726579 | + | 0.338304i | ||||
\(188\) | −1.90062 | −0.138617 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.14377 | + | 3.52018i | 0.0829781 | + | 0.255380i | ||||
\(191\) | 12.2413 | − | 2.60196i | 0.885746 | − | 0.188271i | 0.257493 | − | 0.966280i | \(-0.417104\pi\) |
0.628253 | + | 0.778009i | \(0.283770\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.4794 | + | 5.11094i | −0.826302 | + | 0.367893i | −0.775916 | − | 0.630837i | \(-0.782712\pi\) |
−0.0503860 | + | 0.998730i | \(0.516045\pi\) | |||||||
\(194\) | 0.112627 | + | 0.125084i | 0.00808611 | + | 0.00898054i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.44450 | − | 3.31451i | −0.531750 | − | 0.236750i | ||||
\(197\) | 10.3453 | 0.737075 | 0.368538 | − | 0.929613i | \(-0.379859\pi\) | ||||
0.368538 | + | 0.929613i | \(0.379859\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 26.4773 | 1.87693 | 0.938464 | − | 0.345376i | \(-0.112249\pi\) | ||||
0.938464 | + | 0.345376i | \(0.112249\pi\) | |||||||
\(200\) | 3.50746 | + | 1.56162i | 0.248015 | + | 0.110423i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.33537 | − | 2.59369i | −0.164316 | − | 0.182491i | ||||
\(203\) | −5.26949 | + | 2.34613i | −0.369846 | + | 0.164666i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.653093 | + | 0.138819i | −0.0456140 | + | 0.00969555i | ||||
\(206\) | −0.250742 | − | 0.771705i | −0.0174700 | − | 0.0537672i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.4521 | −0.724721 | ||||||||
\(209\) | 7.11061 | + | 12.8106i | 0.491851 | + | 0.886127i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.761375 | + | 7.24400i | 0.0524152 | + | 0.498698i | 0.988964 | + | 0.148159i | \(0.0473347\pi\) |
−0.936548 | + | 0.350538i | \(0.885999\pi\) | |||||||
\(212\) | 21.6219 | + | 4.59587i | 1.48500 | + | 0.315646i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.169543 | − | 1.61310i | 0.0115897 | − | 0.110269i | ||||
\(215\) | 13.2842 | + | 9.65153i | 0.905974 | + | 0.658229i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.10868 | − | 12.6452i | −0.278916 | − | 0.858414i | ||||
\(218\) | −2.46767 | − | 1.09868i | −0.167131 | − | 0.0744117i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.71357 | − | 2.23670i | −0.654889 | − | 0.150799i | ||||
\(221\) | 6.60572 | − | 11.4414i | 0.444349 | − | 0.769635i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.7313 | − | 17.4714i | 1.05345 | − | 1.16997i | 0.0684035 | − | 0.997658i | \(-0.478209\pi\) |
0.985042 | − | 0.172312i | \(-0.0551239\pi\) | |||||||
\(224\) | 5.23822 | − | 16.1216i | 0.349993 | − | 1.07717i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.51148 | − | 4.73086i | −0.433137 | − | 0.314692i | ||||
\(227\) | −11.6617 | + | 2.47876i | −0.774012 | + | 0.164521i | −0.577952 | − | 0.816071i | \(-0.696148\pi\) |
−0.196060 | + | 0.980592i | \(0.562815\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.319603 | − | 3.04082i | −0.0211200 | − | 0.200943i | 0.978874 | − | 0.204465i | \(-0.0655455\pi\) |
−0.999994 | + | 0.00352213i | \(0.998879\pi\) | |||||||
\(230\) | −3.13859 | + | 5.43620i | −0.206953 | + | 0.358453i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.55934 | − | 2.70086i | −0.102376 | − | 0.177320i | ||||
\(233\) | −19.8463 | + | 14.4192i | −1.30017 | + | 0.944632i | −0.999957 | − | 0.00923938i | \(-0.997059\pi\) |
−0.300217 | + | 0.953871i | \(0.597059\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.570221 | + | 1.75496i | −0.0371971 | + | 0.114481i | ||||
\(236\) | 0.672471 | − | 6.39814i | 0.0437741 | − | 0.416483i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.69897 | + | 4.10813i | 0.239769 | + | 0.266290i | ||||
\(239\) | −6.79874 | − | 1.44512i | −0.439774 | − | 0.0934768i | −0.0172968 | − | 0.999850i | \(-0.505506\pi\) |
−0.422477 | + | 0.906374i | \(0.638839\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.88529 | + | 6.72952i | 0.250274 | + | 0.433487i | 0.963601 | − | 0.267344i | \(-0.0861461\pi\) |
−0.713327 | + | 0.700831i | \(0.752813\pi\) | |||||||
\(242\) | 5.39236 | + | 0.182131i | 0.346634 | + | 0.0117078i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.48460 | + | 3.98480i | −0.351116 | + | 0.255100i | ||||
\(245\) | −5.29396 | + | 5.87954i | −0.338219 | + | 0.375630i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 16.1345 | − | 7.18355i | 1.02661 | − | 0.457078i | ||||
\(248\) | 6.56725 | − | 2.92393i | 0.417021 | − | 0.185670i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.97047 | − | 4.40965i | 0.251114 | − | 0.278891i | ||||
\(251\) | 0.264684 | − | 0.192304i | 0.0167067 | − | 0.0121381i | −0.579401 | − | 0.815043i | \(-0.696713\pi\) |
0.596107 | + | 0.802905i | \(0.296713\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.07634 | + | 23.4990i | −0.507755 | + | 1.47737i | ||||
\(254\) | −2.64742 | − | 4.58547i | −0.166114 | − | 0.287718i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.0337447 | − | 0.00717266i | −0.00210904 | − | 0.000448291i | ||||
\(257\) | 9.18661 | + | 10.2028i | 0.573045 | + | 0.636431i | 0.958090 | − | 0.286467i | \(-0.0924809\pi\) |
−0.385045 | + | 0.922898i | \(0.625814\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.09285 | + | 10.3978i | −0.0679064 | + | 0.646087i | ||||
\(260\) | −3.71294 | + | 11.4273i | −0.230267 | + | 0.708689i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.39495 | + | 6.09928i | −0.518641 | + | 0.376815i | ||||
\(263\) | −8.42709 | − | 14.5961i | −0.519637 | − | 0.900037i | −0.999739 | − | 0.0228249i | \(-0.992734\pi\) |
0.480103 | − | 0.877212i | \(-0.340599\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.7306 | − | 18.5859i | 0.659174 | − | 1.14172i | ||||
\(266\) | 0.772468 | + | 7.34954i | 0.0473631 | + | 0.450629i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.33707 | − | 1.13443i | 0.326013 | − | 0.0692963i | ||||
\(269\) | 10.0297 | + | 7.28700i | 0.611522 | + | 0.444296i | 0.849950 | − | 0.526864i | \(-0.176632\pi\) |
−0.238428 | + | 0.971160i | \(0.576632\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.95460 | − | 18.3264i | 0.361716 | − | 1.11325i | −0.590296 | − | 0.807187i | \(-0.700989\pi\) |
0.952012 | − | 0.306061i | \(-0.0990112\pi\) | |||||||
\(272\) | 5.78089 | − | 6.42032i | 0.350518 | − | 0.389289i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.784919 | − | 1.35952i | 0.0474187 | − | 0.0821316i | ||||
\(275\) | 3.55329 | − | 5.92133i | 0.214271 | − | 0.357070i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.45618 | + | 4.21016i | 0.568167 | + | 0.252964i | 0.670654 | − | 0.741770i | \(-0.266013\pi\) |
−0.102487 | + | 0.994734i | \(0.532680\pi\) | |||||||
\(278\) | −2.27260 | − | 6.99435i | −0.136302 | − | 0.419493i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −8.69092 | − | 6.31432i | −0.519382 | − | 0.377353i | ||||
\(281\) | −1.71801 | + | 16.3458i | −0.102488 | + | 0.975106i | 0.815570 | + | 0.578659i | \(0.196424\pi\) |
−0.918057 | + | 0.396447i | \(0.870243\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.23731 | + | 0.262999i | 0.0735505 | + | 0.0156336i | 0.244540 | − | 0.969639i | \(-0.421363\pi\) |
−0.170989 | + | 0.985273i | \(0.554696\pi\) | |||||||
\(284\) | −1.29052 | − | 12.2785i | −0.0765781 | − | 0.728592i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.788917 | − | 6.45573i | 0.0466497 | − | 0.381736i | ||||
\(287\) | −1.33309 | −0.0786896 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.87876 | − | 5.78222i | −0.110515 | − | 0.340130i | ||||
\(290\) | −1.38608 | + | 0.294621i | −0.0813935 | + | 0.0173007i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 24.1781 | − | 10.7648i | 1.41492 | − | 0.629961i | ||||
\(293\) | 16.1176 | + | 17.9004i | 0.941602 | + | 1.04575i | 0.998876 | + | 0.0473960i | \(0.0150923\pi\) |
−0.0572746 | + | 0.998358i | \(0.518241\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.70603 | − | 2.54049i | −0.332218 | − | 0.147913i | ||||
\(296\) | −5.65274 | −0.328559 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.98705 | −0.115107 | ||||||||
\(299\) | 27.3630 | + | 12.1828i | 1.58244 | + | 0.704548i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 21.9370 | + | 24.3635i | 1.26443 | + | 1.40429i | ||||
\(302\) | −3.49240 | + | 1.55491i | −0.200965 | + | 0.0894753i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.2970 | − | 2.40125i | 0.647928 | − | 0.137721i | ||||
\(305\) | 2.03392 | + | 6.25977i | 0.116462 | + | 0.358433i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.2949 | 0.930001 | 0.465001 | − | 0.885310i | \(-0.346054\pi\) | ||||
0.465001 | + | 0.885310i | \(0.346054\pi\) | |||||||
\(308\) | −18.0417 | − | 8.40042i | −1.02802 | − | 0.478658i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.341429 | − | 3.24848i | −0.0193919 | − | 0.184501i | ||||
\(311\) | 20.9042 | + | 4.44333i | 1.18537 | + | 0.251958i | 0.758083 | − | 0.652158i | \(-0.226136\pi\) |
0.427287 | + | 0.904116i | \(0.359469\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.325724 | + | 3.09905i | −0.0184110 | + | 0.175169i | −0.999863 | − | 0.0165379i | \(-0.994736\pi\) |
0.981452 | + | 0.191707i | \(0.0614023\pi\) | |||||||
\(314\) | −0.122677 | − | 0.0891301i | −0.00692307 | − | 0.00502990i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.17428 | + | 6.69176i | 0.122313 | + | 0.376441i | ||||
\(317\) | 16.6858 | + | 7.42898i | 0.937166 | + | 0.417253i | 0.817739 | − | 0.575590i | \(-0.195227\pi\) |
0.119428 | + | 0.992843i | \(0.461894\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.16220 | + | 2.19471i | −0.289028 | + | 0.122880i | ||||
\(320\) | −2.38364 | + | 4.12859i | −0.133250 | + | 0.230795i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −8.38617 | + | 9.31379i | −0.467343 | + | 0.519037i | ||||
\(323\) | −4.51117 | + | 13.8840i | −0.251008 | + | 0.772524i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.73442 | − | 4.89284i | −0.373558 | − | 0.271406i | ||||
\(326\) | −5.27470 | + | 1.12117i | −0.292139 | + | 0.0620960i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.0753401 | − | 0.716813i | −0.00415996 | − | 0.0395794i | ||||
\(329\) | −1.84212 | + | 3.19065i | −0.101560 | + | 0.175906i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.88308 | − | 3.26159i | −0.103503 | − | 0.179273i | 0.809622 | − | 0.586951i | \(-0.199672\pi\) |
−0.913126 | + | 0.407678i | \(0.866339\pi\) | |||||||
\(332\) | 0.177876 | − | 0.129235i | 0.00976222 | − | 0.00709267i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.66369 | − | 8.19799i | 0.145751 | − | 0.448574i | ||||
\(335\) | 0.553729 | − | 5.26838i | 0.0302534 | − | 0.287842i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.99215 | + | 4.43373i | 0.217466 | + | 0.241521i | 0.842001 | − | 0.539477i | \(-0.181378\pi\) |
−0.624534 | + | 0.780997i | \(0.714711\pi\) | |||||||
\(338\) | −1.43136 | − | 0.304245i | −0.0778556 | − | 0.0165487i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.96577 | − | 8.60097i | −0.269307 | − | 0.466453i | ||||
\(341\) | −3.78741 | − | 12.3628i | −0.205100 | − | 0.669482i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.53464 | − | 4.74769i | 0.352837 | − | 0.256351i | ||||
\(344\) | −11.8607 | + | 13.1726i | −0.639485 | + | 0.710220i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.54095 | + | 2.46699i | −0.297883 | + | 0.132626i | ||||
\(347\) | −22.2442 | + | 9.90376i | −1.19413 | + | 0.531662i | −0.904911 | − | 0.425600i | \(-0.860063\pi\) |
−0.289221 | + | 0.957262i | \(0.593396\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.2024 | − | 12.4416i | 0.599652 | − | 0.665981i | −0.364539 | − | 0.931188i | \(-0.618773\pi\) |
0.964192 | + | 0.265207i | \(0.0854402\pi\) | |||||||
\(350\) | 2.81787 | − | 2.04730i | 0.150621 | − | 0.109433i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.35793 | − | 15.5895i | 0.285579 | − | 0.830924i | ||||
\(353\) | −4.01566 | − | 6.95533i | −0.213732 | − | 0.370195i | 0.739148 | − | 0.673544i | \(-0.235229\pi\) |
−0.952880 | + | 0.303349i | \(0.901895\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.7246 | − | 2.49214i | −0.622277 | − | 0.132269i | ||||
\(356\) | −9.33967 | − | 10.3728i | −0.495001 | − | 0.549755i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.12192 | − | 10.6743i | 0.0592952 | − | 0.564156i | ||||
\(359\) | 8.90742 | − | 27.4142i | 0.470116 | − | 1.44687i | −0.382317 | − | 0.924031i | \(-0.624874\pi\) |
0.852433 | − | 0.522836i | \(-0.175126\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.417162 | + | 0.303086i | −0.0219559 | + | 0.0159519i | ||||
\(362\) | 1.07422 | + | 1.86061i | 0.0564600 | + | 0.0977916i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.9948 | + | 20.7756i | −0.628700 | + | 1.08894i | ||||
\(365\) | −2.68591 | − | 25.5547i | −0.140587 | − | 1.33759i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −21.8551 | + | 4.64545i | −1.14083 | + | 0.242491i | −0.739313 | − | 0.673362i | \(-0.764850\pi\) |
−0.401515 | + | 0.915852i | \(0.631516\pi\) | |||||||
\(368\) | 15.8462 | + | 11.5129i | 0.826038 | + | 0.600152i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.793696 | + | 2.44275i | −0.0412623 | + | 0.126992i | ||||
\(371\) | 28.6716 | − | 31.8431i | 1.48856 | − | 1.65321i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.53936 | + | 6.13036i | −0.183261 | + | 0.317418i | −0.942989 | − | 0.332823i | \(-0.891999\pi\) |
0.759728 | + | 0.650241i | \(0.225332\pi\) | |||||||
\(374\) | 3.52918 | + | 4.05517i | 0.182490 | + | 0.209688i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.81975 | − | 0.810205i | −0.0938465 | − | 0.0417831i | ||||
\(377\) | 2.08946 | + | 6.43070i | 0.107613 | + | 0.331198i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.6964 | + | 14.3103i | 1.01174 | + | 0.735070i | 0.964573 | − | 0.263818i | \(-0.0849817\pi\) |
0.0471638 | + | 0.998887i | \(0.484982\pi\) | |||||||
\(380\) | 1.38780 | − | 13.2040i | 0.0711927 | − | 0.677353i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.00426 | + | 1.27625i | 0.307205 | + | 0.0652984i | ||||
\(383\) | −1.84366 | − | 17.5413i | −0.0942067 | − | 0.896317i | −0.934925 | − | 0.354845i | \(-0.884534\pi\) |
0.840719 | − | 0.541472i | \(-0.182133\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.1694 | + | 14.1387i | −0.671176 | + | 0.720574i | ||||
\(386\) | −6.16341 | −0.313709 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.186572 | − | 0.574210i | −0.00947177 | − | 0.0291511i | ||||
\(389\) | −17.4922 | + | 3.71808i | −0.886890 | + | 0.188514i | −0.628763 | − | 0.777597i | \(-0.716439\pi\) |
−0.258127 | + | 0.966111i | \(0.583105\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −22.6175 | + | 10.0700i | −1.14382 | + | 0.509259i | ||||
\(392\) | −5.71481 | − | 6.34694i | −0.288642 | − | 0.320569i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.63563 | + | 2.06392i | 0.233540 | + | 0.103979i | ||||
\(395\) | 6.83122 | 0.343716 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −21.9395 | −1.10111 | −0.550556 | − | 0.834798i | \(-0.685584\pi\) | ||||
−0.550556 | + | 0.834798i | \(0.685584\pi\) | |||||||
\(398\) | 11.8642 | + | 5.28228i | 0.594698 | + | 0.264777i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.64239 | − | 4.04529i | −0.182120 | − | 0.202264i | ||||
\(401\) | −4.94005 | + | 2.19945i | −0.246694 | + | 0.109835i | −0.526359 | − | 0.850262i | \(-0.676443\pi\) |
0.279665 | + | 0.960098i | \(0.409777\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.2454 | + | 3.24051i | −0.759426 | + | 0.161421i | ||||
\(404\) | 3.86867 | + | 11.9065i | 0.192473 | + | 0.592372i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.82926 | −0.140414 | ||||||||
\(407\) | −1.23330 | + | 10.0921i | −0.0611324 | + | 0.500248i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.46898 | − | 23.4907i | −0.122083 | − | 1.16154i | −0.868369 | − | 0.495918i | \(-0.834832\pi\) |
0.746286 | − | 0.665625i | \(-0.231835\pi\) | |||||||
\(410\) | −0.320338 | − | 0.0680899i | −0.0158204 | − | 0.00336272i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.304238 | + | 2.89464i | −0.0149888 | + | 0.142608i | ||||
\(413\) | −10.0890 | − | 7.33011i | −0.496449 | − | 0.360691i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.0659639 | − | 0.203016i | −0.00323804 | − | 0.00996567i | ||||
\(416\) | −18.1529 | − | 8.08218i | −0.890017 | − | 0.396261i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.630444 | + | 7.15886i | 0.0308360 | + | 0.350151i | ||||
\(419\) | −9.06566 | + | 15.7022i | −0.442886 | + | 0.767102i | −0.997902 | − | 0.0647380i | \(-0.979379\pi\) |
0.555016 | + | 0.831840i | \(0.312712\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.57303 | + | 9.52132i | −0.417824 | + | 0.464041i | −0.914908 | − | 0.403662i | \(-0.867737\pi\) |
0.497084 | + | 0.867702i | \(0.334404\pi\) | |||||||
\(422\) | −1.10403 | + | 3.39785i | −0.0537432 | + | 0.165405i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 18.7427 | + | 13.6174i | 0.910226 | + | 0.661318i | ||||
\(425\) | 6.73020 | − | 1.43055i | 0.326463 | − | 0.0693918i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.37364 | + | 13.0694i | 0.0664753 | + | 0.632470i | ||||
\(428\) | −2.90904 | + | 5.03861i | −0.140614 | + | 0.243551i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.02700 | + | 6.97496i | 0.194199 | + | 0.336362i | ||||
\(431\) | −5.32265 | + | 3.86713i | −0.256383 | + | 0.186273i | −0.708551 | − | 0.705660i | \(-0.750651\pi\) |
0.452168 | + | 0.891933i | \(0.350651\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.32555 | − | 13.3127i | 0.207873 | − | 0.639767i | −0.791710 | − | 0.610897i | \(-0.790809\pi\) |
0.999583 | − | 0.0288700i | \(-0.00919089\pi\) | |||||||
\(434\) | 0.681693 | − | 6.48587i | 0.0327223 | − | 0.311332i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.48339 | + | 7.20053i | 0.310498 | + | 0.344843i | ||||
\(437\) | −32.3738 | − | 6.88127i | −1.54865 | − | 0.329176i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.5891 | − | 21.8050i | −0.600846 | − | 1.04070i | −0.992693 | − | 0.120665i | \(-0.961497\pi\) |
0.391848 | − | 0.920030i | \(-0.371836\pi\) | |||||||
\(440\) | −8.34678 | − | 6.28227i | −0.397917 | − | 0.299495i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.24254 | − | 3.80893i | 0.249362 | − | 0.181172i | ||||
\(443\) | −17.9477 | + | 19.9330i | −0.852723 | + | 0.947045i | −0.999110 | − | 0.0421828i | \(-0.986569\pi\) |
0.146387 | + | 0.989227i | \(0.453235\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.3798 | + | 5.51186i | −0.586861 | + | 0.261287i | ||||
\(446\) | 10.5346 | − | 4.69030i | 0.498827 | − | 0.222092i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.36898 | + | 7.07347i | −0.300906 | + | 0.334190i | ||||
\(449\) | 11.4685 | − | 8.33234i | 0.541231 | − | 0.393228i | −0.283311 | − | 0.959028i | \(-0.591433\pi\) |
0.824542 | + | 0.565801i | \(0.191433\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29620 | − | 0.0218838i | −0.0610357 | − | 0.00103047i | ||||
\(452\) | 14.4353 | + | 25.0027i | 0.678981 | + | 1.17603i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.71997 | − | 1.21582i | −0.268452 | − | 0.0570612i | ||||
\(455\) | 15.5847 | + | 17.3086i | 0.730623 | + | 0.811439i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.57572 | + | 24.5063i | −0.120487 | + | 1.14636i | 0.752493 | + | 0.658600i | \(0.228851\pi\) |
−0.872980 | + | 0.487756i | \(0.837816\pi\) | |||||||
\(458\) | 0.463439 | − | 1.42632i | 0.0216551 | − | 0.0666475i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 18.2162 | − | 13.2348i | 0.849334 | − | 0.617077i | ||||
\(461\) | −13.1227 | − | 22.7292i | −0.611185 | − | 1.05860i | −0.991041 | − | 0.133558i | \(-0.957360\pi\) |
0.379856 | − | 0.925046i | \(-0.375973\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.34609 | + | 10.9917i | −0.294928 | + | 0.510830i | −0.974968 | − | 0.222345i | \(-0.928629\pi\) |
0.680040 | + | 0.733175i | \(0.261962\pi\) | |||||||
\(464\) | 0.462189 | + | 4.39744i | 0.0214566 | + | 0.204146i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −11.7696 | + | 2.50170i | −0.545214 | + | 0.115889i | ||||
\(467\) | −22.4130 | − | 16.2840i | −1.03715 | − | 0.753534i | −0.0674235 | − | 0.997724i | \(-0.521478\pi\) |
−0.969727 | + | 0.244190i | \(0.921478\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.26838 | − | 10.0591i | 0.150920 | − | 0.464484i | ||||
\(470\) | −0.605627 | + | 0.672617i | −0.0279355 | + | 0.0310255i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.37128 | − | 5.83923i | 0.155176 | − | 0.268772i | ||||
\(473\) | 20.9300 | + | 24.0494i | 0.962363 | + | 1.10579i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.40291 | + | 3.74122i | 0.385552 | + | 0.171659i | ||||
\(476\) | −6.12756 | − | 18.8587i | −0.280856 | − | 0.864386i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.75813 | − | 2.00390i | −0.126154 | − | 0.0916563i | ||||
\(479\) | −1.63297 | + | 15.5366i | −0.0746121 | + | 0.709886i | 0.891720 | + | 0.452588i | \(0.149499\pi\) |
−0.966332 | + | 0.257299i | \(0.917168\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.9879 | + | 2.54811i | 0.546603 | + | 0.116184i | ||||
\(482\) | 0.398402 | + | 3.79055i | 0.0181467 | + | 0.172655i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −17.4046 | − | 8.46415i | −0.791117 | − | 0.384734i | ||||
\(485\) | −0.586177 | −0.0266169 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.32090 | + | 25.6091i | 0.377056 | + | 1.16046i | 0.942081 | + | 0.335386i | \(0.108867\pi\) |
−0.565025 | + | 0.825074i | \(0.691133\pi\) | |||||||
\(488\) | −6.94988 | + | 1.47724i | −0.314606 | + | 0.0668716i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.54514 | + | 1.57840i | −0.160153 | + | 0.0713048i | ||||
\(491\) | −26.0959 | − | 28.9825i | −1.17769 | − | 1.30796i | −0.941797 | − | 0.336182i | \(-0.890864\pi\) |
−0.235895 | − | 0.971778i | \(-0.575802\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.10580 | − | 2.27325i | −0.229954 | − | 0.102382i | ||||
\(494\) | 8.66283 | 0.389759 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.1922 | −0.457642 | ||||||||
\(497\) | −21.8631 | − | 9.73408i | −0.980694 | − | 0.436633i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.0826 | − | 17.8616i | −0.719958 | − | 0.799594i | 0.266461 | − | 0.963846i | \(-0.414146\pi\) |
−0.986418 | + | 0.164252i | \(0.947479\pi\) | |||||||
\(500\) | −19.4444 | + | 8.65722i | −0.869582 | + | 0.387163i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.156967 | − | 0.0333644i | 0.00700578 | − | 0.00148912i | ||||
\(503\) | 7.41223 | + | 22.8125i | 0.330495 | + | 1.01716i | 0.968899 | + | 0.247457i | \(0.0795949\pi\) |
−0.638404 | + | 0.769701i | \(0.720405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.1547 | 0.540876 | ||||||||
\(506\) | −8.30702 | + | 8.91841i | −0.369292 | + | 0.396472i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.98528 | + | 18.8887i | 0.0880827 | + | 0.838050i | ||||
\(509\) | 3.61803 | + | 0.769037i | 0.160367 | + | 0.0340870i | 0.287395 | − | 0.957812i | \(-0.407211\pi\) |
−0.127029 | + | 0.991899i | \(0.540544\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.36264 | − | 51.0221i | 0.237229 | − | 2.25709i | ||||
\(512\) | −18.3128 | − | 13.3050i | −0.809318 | − | 0.588004i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.08094 | + | 6.40449i | 0.0917865 | + | 0.282490i | ||||
\(515\) | 2.58151 | + | 1.14936i | 0.113755 | + | 0.0506470i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.84353 | + | 3.07212i | −0.0810783 | + | 0.135112i | ||||
\(518\) | −2.56407 | + | 4.44110i | −0.112659 | + | 0.195131i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.42621 | + | 9.35825i | −0.369514 | + | 0.410387i | ||||
\(521\) | 1.98178 | − | 6.09929i | 0.0868234 | − | 0.267215i | −0.898213 | − | 0.439560i | \(-0.855134\pi\) |
0.985037 | + | 0.172345i | \(0.0551344\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.21554 | + | 1.60969i | 0.0968790 | + | 0.0703867i | 0.635170 | − | 0.772372i | \(-0.280930\pi\) |
−0.538291 | + | 0.842759i | \(0.680930\pi\) | |||||||
\(524\) | 36.4082 | − | 7.73880i | 1.59050 | − | 0.338071i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.864124 | − | 8.22159i | −0.0376776 | − | 0.358478i | ||||
\(527\) | 6.44147 | − | 11.1570i | 0.280595 | − | 0.486005i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.5651 | − | 28.6916i | −0.720222 | − | 1.24746i | ||||
\(530\) | 8.51617 | − | 6.18736i | 0.369919 | − | 0.268762i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.19149 | − | 25.2108i | 0.355146 | − | 1.09303i | ||||
\(533\) | −0.163345 | + | 1.55413i | −0.00707527 | + | 0.0673167i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.77969 | + | 4.19777i | 0.163410 | + | 0.181485i | ||||
\(536\) | 5.59356 | + | 1.18895i | 0.241605 | + | 0.0513547i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.04042 | + | 5.26617i | 0.131082 | + | 0.227041i | ||||
\(539\) | −12.5784 | + | 8.81819i | −0.541788 | + | 0.379826i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.9114 | + | 12.2869i | −0.727079 | + | 0.528254i | −0.888638 | − | 0.458609i | \(-0.848348\pi\) |
0.161559 | + | 0.986863i | \(0.448348\pi\) | |||||||
\(542\) | 6.32434 | − | 7.02389i | 0.271654 | − | 0.301702i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.0047 | − | 6.68051i | 0.643320 | − | 0.286424i | ||||
\(545\) | 8.59381 | − | 3.82621i | 0.368118 | − | 0.163897i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −28.0208 | + | 31.1202i | −1.19808 | + | 1.33060i | −0.267925 | + | 0.963440i | \(0.586338\pi\) |
−0.930156 | + | 0.367164i | \(0.880329\pi\) | |||||||
\(548\) | −4.55562 | + | 3.30985i | −0.194606 | + | 0.141390i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.77350 | − | 1.94439i | 0.118263 | − | 0.0829092i | ||||
\(551\) | −3.73576 | − | 6.47053i | −0.159149 | − | 0.275654i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.3411 | + | 2.83573i | 0.567320 | + | 0.120588i | ||||
\(554\) | 3.39727 | + | 3.77305i | 0.144336 | + | 0.160302i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.75747 | + | 26.2355i | −0.116943 | + | 1.11263i | ||||
\(557\) | 3.87025 | − | 11.9114i | 0.163988 | − | 0.504702i | −0.834973 | − | 0.550291i | \(-0.814517\pi\) |
0.998960 | + | 0.0455895i | \(0.0145166\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 31.0911 | − | 22.5890i | 1.31502 | − | 0.955415i | ||||
\(560\) | 7.61538 | + | 13.1902i | 0.321809 | + | 0.557389i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.03083 | + | 6.98160i | −0.170030 | + | 0.294501i | ||||
\(563\) | −1.51658 | − | 14.4293i | −0.0639161 | − | 0.608121i | −0.978859 | − | 0.204537i | \(-0.934431\pi\) |
0.914943 | − | 0.403584i | \(-0.132236\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.4173 | − | 5.82774i | 1.15346 | − | 0.245175i | ||||
\(566\) | 0.501956 | + | 0.364693i | 0.0210988 | + | 0.0153292i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.99850 | − | 12.3061i | 0.167773 | − | 0.516353i | ||||
\(569\) | 18.7172 | − | 20.7876i | 0.784666 | − | 0.871460i | −0.209667 | − | 0.977773i | \(-0.567238\pi\) |
0.994333 | + | 0.106313i | \(0.0339046\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.52443 | + | 7.83654i | −0.189341 | + | 0.327949i | −0.945031 | − | 0.326981i | \(-0.893969\pi\) |
0.755689 | + | 0.654930i | \(0.227302\pi\) | |||||||
\(572\) | −12.0040 | + | 20.0039i | −0.501911 | + | 0.836404i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.597341 | − | 0.265953i | −0.0249325 | − | 0.0111007i | ||||
\(575\) | 4.82046 | + | 14.8359i | 0.201027 | + | 0.618698i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.0234 | − | 22.5398i | −1.29152 | − | 0.938346i | −0.291687 | − | 0.956514i | \(-0.594217\pi\) |
−0.999835 | + | 0.0181683i | \(0.994217\pi\) | |||||||
\(578\) | 0.311714 | − | 2.96576i | 0.0129656 | − | 0.123359i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.97191 | + | 1.05681i | 0.206447 | + | 0.0438817i | ||||
\(581\) | −0.0445499 | − | 0.423864i | −0.00184824 | − | 0.0175848i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 28.4010 | − | 30.4913i | 1.17625 | − | 1.26282i | ||||
\(584\) | 27.7381 | 1.14781 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.65095 | + | 11.2365i | 0.150819 | + | 0.464175i | ||||
\(587\) | −0.706826 | + | 0.150241i | −0.0291738 | + | 0.00620109i | −0.222475 | − | 0.974938i | \(-0.571414\pi\) |
0.193302 | + | 0.981139i | \(0.438080\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.7333 | − | 7.00493i | 0.648281 | − | 0.288633i | ||||
\(590\) | −2.04997 | − | 2.27673i | −0.0843961 | − | 0.0937313i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.32155 | + | 3.25977i | 0.300914 | + | 0.133976i | ||||
\(593\) | 39.6596 | 1.62863 | 0.814313 | − | 0.580426i | \(-0.197114\pi\) | ||||
0.814313 | + | 0.580426i | \(0.197114\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −19.2517 | −0.789244 | ||||||||
\(596\) | 6.51139 | + | 2.89906i | 0.266717 | + | 0.118750i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.83054 | + | 10.9179i | 0.402001 | + | 0.446467i | ||||
\(599\) | 18.6151 | − | 8.28799i | 0.760594 | − | 0.338638i | 0.0104783 | − | 0.999945i | \(-0.496665\pi\) |
0.750115 | + | 0.661307i | \(0.229998\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 47.3147 | − | 10.0570i | 1.93001 | − | 0.410235i | 0.931032 | − | 0.364936i | \(-0.118909\pi\) |
0.998973 | − | 0.0452991i | \(-0.0144241\pi\) | |||||||
\(602\) | 4.96914 | + | 15.2935i | 0.202527 | + | 0.623315i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.7129 | 0.557968 | ||||||||
\(605\) | −13.0371 | + | 13.5313i | −0.530035 | + | 0.550125i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.05945 | + | 19.5944i | 0.0835905 | + | 0.795310i | 0.953357 | + | 0.301846i | \(0.0976029\pi\) |
−0.869766 | + | 0.493464i | \(0.835730\pi\) | |||||||
\(608\) | 21.4771 | + | 4.56511i | 0.871013 | + | 0.185140i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.337458 | + | 3.21070i | −0.0136633 | + | 0.129997i | ||||
\(611\) | 3.49397 | + | 2.53852i | 0.141351 | + | 0.102698i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.76690 | + | 5.43796i | 0.0713644 | + | 0.219637i | 0.980377 | − | 0.197131i | \(-0.0631626\pi\) |
−0.909013 | + | 0.416768i | \(0.863163\pi\) | |||||||
\(614\) | 7.30158 | + | 3.25087i | 0.294668 | + | 0.131194i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −13.6930 | − | 15.7339i | −0.551708 | − | 0.633935i | ||||
\(617\) | 3.05346 | − | 5.28875i | 0.122928 | − | 0.212917i | −0.797993 | − | 0.602666i | \(-0.794105\pi\) |
0.920921 | + | 0.389749i | \(0.127438\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.19087 | + | 1.32260i | −0.0478653 | + | 0.0531598i | −0.766602 | − | 0.642123i | \(-0.778054\pi\) |
0.718737 | + | 0.695282i | \(0.244721\pi\) | |||||||
\(620\) | −3.62062 | + | 11.1431i | −0.145408 | + | 0.447519i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.48050 | + | 6.16144i | 0.340037 | + | 0.247051i | ||||
\(623\) | −26.4653 | + | 5.62538i | −1.06031 | + | 0.225376i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.07184 | + | 10.1979i | 0.0428737 | + | 0.407916i | ||||
\(626\) | −0.764220 | + | 1.32367i | −0.0305444 | + | 0.0529044i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.271963 | + | 0.471055i | 0.0108525 | + | 0.0187971i | ||||
\(629\) | −8.19556 | + | 5.95442i | −0.326778 | + | 0.237418i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.8566 | + | 42.6461i | −0.551621 | + | 1.69771i | 0.153084 | + | 0.988213i | \(0.451079\pi\) |
−0.704705 | + | 0.709501i | \(0.748921\pi\) | |||||||
\(632\) | −0.770822 | + | 7.33388i | −0.0306617 | + | 0.291726i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.99461 | + | 6.65768i | 0.238076 | + | 0.264410i | ||||
\(635\) | 18.0367 | + | 3.83381i | 0.715764 | + | 0.152140i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.25852 | + | 16.0362i | 0.366836 | + | 0.635379i | ||||
\(638\) | −2.75097 | − | 0.0464448i | −0.108912 | − | 0.00183877i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −15.6290 | + | 11.3552i | −0.617792 | + | 0.448852i | ||||
\(641\) | 18.0729 | − | 20.0720i | 0.713837 | − | 0.792797i | −0.271677 | − | 0.962389i | \(-0.587578\pi\) |
0.985514 | + | 0.169592i | \(0.0542449\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −29.7427 | + | 13.2423i | −1.17294 | + | 0.522225i | −0.898325 | − | 0.439331i | \(-0.855216\pi\) |
−0.274610 | + | 0.961556i | \(0.588549\pi\) | |||||||
\(644\) | 41.0694 | − | 18.2853i | 1.61836 | − | 0.720540i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.79128 | + | 5.32126i | −0.188510 | + | 0.209362i | ||||
\(647\) | −25.4705 | + | 18.5054i | −1.00135 | + | 0.727523i | −0.962377 | − | 0.271717i | \(-0.912408\pi\) |
−0.0389724 | + | 0.999240i | \(0.512408\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.68953 | − | 7.29290i | −0.380347 | − | 0.286271i | ||||
\(650\) | −2.04149 | − | 3.53596i | −0.0800736 | − | 0.138692i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.9205 | + | 4.02168i | 0.740984 | + | 0.157501i | ||||
\(653\) | 3.11800 | + | 3.46289i | 0.122017 | + | 0.135513i | 0.801058 | − | 0.598587i | \(-0.204271\pi\) |
−0.679041 | + | 0.734100i | \(0.737604\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.77741 | − | 35.9396i | 0.147596 | − | 1.40428i | ||||
\(656\) | −0.315782 | + | 0.971878i | −0.0123292 | + | 0.0379455i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.46197 | + | 1.06219i | −0.0569937 | + | 0.0414084i | ||||
\(659\) | −16.0209 | − | 27.7490i | −0.624086 | − | 1.08095i | −0.988717 | − | 0.149797i | \(-0.952138\pi\) |
0.364631 | − | 0.931152i | \(-0.381195\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.3527 | − | 35.2519i | 0.791627 | − | 1.37114i | −0.133331 | − | 0.991072i | \(-0.542567\pi\) |
0.924959 | − | 0.380067i | \(-0.124099\pi\) | |||||||
\(662\) | −0.193093 | − | 1.83716i | −0.00750478 | − | 0.0714032i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.225398 | − | 0.0479098i | 0.00874713 | − | 0.00185926i | ||||
\(665\) | −20.8211 | − | 15.1274i | −0.807406 | − | 0.586615i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.91560 | − | 12.0510i | 0.151613 | − | 0.466616i | ||||
\(668\) | −20.6893 | + | 22.9778i | −0.800495 | + | 0.889039i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.29917 | − | 2.25023i | 0.0501914 | − | 0.0869340i | ||||
\(671\) | 1.12109 | + | 12.7303i | 0.0432792 | + | 0.491447i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −34.4987 | − | 15.3598i | −1.32983 | − | 0.592077i | −0.385994 | − | 0.922501i | \(-0.626142\pi\) |
−0.943833 | + | 0.330424i | \(0.892808\pi\) | |||||||
\(674\) | 0.904299 | + | 2.78315i | 0.0348323 | + | 0.107203i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.24655 | + | 3.08530i | 0.163329 | + | 0.118665i | ||||
\(677\) | 1.97566 | − | 18.7971i | 0.0759307 | − | 0.722432i | −0.888640 | − | 0.458606i | \(-0.848349\pi\) |
0.964570 | − | 0.263826i | \(-0.0849845\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.14478 | − | 0.243330i | −0.0439326 | − | 0.00933815i | ||||
\(680\) | −1.08802 | − | 10.3518i | −0.0417237 | − | 0.396974i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.769301 | − | 6.29521i | 0.0294581 | − | 0.241056i | ||||
\(683\) | −31.1053 | −1.19021 | −0.595105 | − | 0.803648i | \(-0.702890\pi\) | ||||
−0.595105 | + | 0.803648i | \(0.702890\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.68941 | + | 5.19948i | 0.0645492 | + | 0.198662i | ||||
\(686\) | 3.87527 | − | 0.823714i | 0.147959 | − | 0.0314496i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 22.9585 | − | 10.2218i | 0.875283 | − | 0.389701i | ||||
\(689\) | −33.6098 | − | 37.3274i | −1.28043 | − | 1.42206i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.2911 | + | 9.03419i | 0.771911 | + | 0.343677i | 0.754610 | − | 0.656173i | \(-0.227826\pi\) |
0.0173008 | + | 0.999850i | \(0.494493\pi\) | |||||||
\(692\) | 21.7565 | 0.827057 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.9432 | −0.453358 | ||||||||
\(695\) | 23.3975 | + | 10.4173i | 0.887520 | + | 0.395149i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.864299 | − | 0.959901i | −0.0327377 | − | 0.0363589i | ||||
\(698\) | 7.50180 | − | 3.34001i | 0.283947 | − | 0.126421i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −12.2209 | + | 2.59762i | −0.461905 | + | 0.0981810i | ||||
\(701\) | 9.25374 | + | 28.4801i | 0.349509 | + | 1.07568i | 0.959125 | + | 0.282981i | \(0.0913235\pi\) |
−0.609616 | + | 0.792697i | \(0.708677\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.5424 | −0.510763 | ||||||||
\(704\) | −6.30886 | + | 6.77319i | −0.237774 | + | 0.255274i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.411770 | − | 3.91773i | −0.0154972 | − | 0.147446i | ||||
\(707\) | 23.7375 | + | 5.04557i | 0.892742 | + | 0.189758i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.79849 | + | 17.1115i | −0.0675436 | + | 0.642635i | 0.907413 | + | 0.420240i | \(0.138054\pi\) |
−0.974957 | + | 0.222395i | \(0.928613\pi\) | |||||||
\(710\) | −4.75647 | − | 3.45578i | −0.178507 | − | 0.129693i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.52052 | − | 13.9127i | −0.169414 | − | 0.521402i | ||||
\(713\) | 26.6826 | + | 11.8799i | 0.999271 | + | 0.444904i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.8694 | + | 17.0855i | 0.556082 | + | 0.638961i | ||||
\(716\) | −19.2500 | + | 33.3420i | −0.719407 | + | 1.24605i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.46050 | − | 10.5070i | 0.353063 | − | 0.392116i | ||||
\(719\) | −1.46013 | + | 4.49382i | −0.0544537 | + | 0.167591i | −0.974585 | − | 0.224020i | \(-0.928082\pi\) |
0.920131 | + | 0.391611i | \(0.128082\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.56446 | + | 3.31628i | 0.169989 | + | 0.123505i | ||||
\(722\) | −0.247392 | + | 0.0525847i | −0.00920696 | + | 0.00195700i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.805554 | − | 7.66433i | −0.0299382 | − | 0.284843i | ||||
\(725\) | −1.76074 | + | 3.04969i | −0.0653923 | + | 0.113263i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.60044 | − | 4.50410i | −0.0964450 | − | 0.167048i | 0.813766 | − | 0.581193i | \(-0.197414\pi\) |
−0.910211 | + | 0.414145i | \(0.864081\pi\) | |||||||
\(728\) | −20.3408 | + | 14.7784i | −0.753879 | + | 0.547725i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.89468 | − | 11.9866i | 0.144149 | − | 0.443644i | ||||
\(731\) | −3.32043 | + | 31.5918i | −0.122811 | + | 1.16847i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.8297 | − | 36.4610i | −1.21259 | − | 1.34672i | −0.920702 | − | 0.390267i | \(-0.872383\pi\) |
−0.291890 | − | 0.956452i | \(-0.594284\pi\) | |||||||
\(734\) | −10.7198 | − | 2.27857i | −0.395676 | − | 0.0841034i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 18.6187 | + | 32.2485i | 0.686294 | + | 1.18870i | ||||
\(737\) | 3.34308 | − | 9.72706i | 0.123144 | − | 0.358301i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.6160 | − | 9.16603i | 0.464086 | − | 0.337178i | −0.331046 | − | 0.943615i | \(-0.607402\pi\) |
0.795132 | + | 0.606437i | \(0.207402\pi\) | |||||||
\(740\) | 6.16478 | − | 6.84668i | 0.226622 | − | 0.251689i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 19.2002 | − | 8.54847i | 0.704861 | − | 0.313824i | ||||
\(743\) | −10.1718 | + | 4.52879i | −0.373168 | + | 0.166145i | −0.584747 | − | 0.811216i | \(-0.698806\pi\) |
0.211579 | + | 0.977361i | \(0.432139\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.63041 | − | 5.14259i | 0.169645 | − | 0.188410i | ||||
\(746\) | −2.80897 | + | 2.04083i | −0.102844 | + | 0.0747202i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.64842 | − | 18.4374i | −0.206527 | − | 0.674140i | ||||
\(749\) | 5.63901 | + | 9.76705i | 0.206045 | + | 0.356880i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.90852 | + | 1.68101i | 0.288586 | + | 0.0613409i | 0.349930 | − | 0.936776i | \(-0.386205\pi\) |
−0.0613440 | + | 0.998117i | \(0.519539\pi\) | |||||||
\(752\) | 1.88976 | + | 2.09879i | 0.0689124 | + | 0.0765350i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.346673 | + | 3.29838i | −0.0126251 | + | 0.120120i | ||||
\(755\) | 4.11410 | − | 12.6619i | 0.149727 | − | 0.460814i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.1585 | + | 17.5522i | −0.878056 | + | 0.637945i | −0.932737 | − | 0.360559i | \(-0.882586\pi\) |
0.0546803 | + | 0.998504i | \(0.482586\pi\) | |||||||
\(758\) | 5.97081 | + | 10.3417i | 0.216869 | + | 0.375629i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.95742 | − | 12.0506i | 0.252372 | − | 0.437121i | ||||
\(761\) | 3.64727 | + | 34.7014i | 0.132213 | + | 1.25793i | 0.836483 | + | 0.547993i | \(0.184608\pi\) |
−0.704269 | + | 0.709933i | \(0.748725\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.3716 | − | 3.90501i | 0.665098 | − | 0.141371i | ||||
\(764\) | −17.8134 | − | 12.9422i | −0.644468 | − | 0.468233i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.67339 | − | 8.22786i | 0.0965936 | − | 0.297284i | ||||
\(767\) | −9.78174 | + | 10.8637i | −0.353198 | + | 0.392266i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.80362 | − | 4.85600i | 0.101101 | − | 0.175112i | −0.811038 | − | 0.584994i | \(-0.801097\pi\) |
0.912139 | + | 0.409882i | \(0.134430\pi\) | |||||||
\(770\) | −8.72177 | + | 3.70806i | −0.314311 | + | 0.133629i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20.1969 | + | 8.99226i | 0.726904 | + | 0.323639i | ||||
\(773\) | 3.34979 | + | 10.3096i | 0.120483 | + | 0.370810i | 0.993051 | − | 0.117683i | \(-0.0375467\pi\) |
−0.872568 | + | 0.488493i | \(0.837547\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.56697 | − | 4.77118i | −0.235893 | − | 0.171386i | ||||
\(776\) | 0.0661431 | − | 0.629310i | 0.00237440 | − | 0.0225909i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.57982 | − | 1.82370i | −0.307601 | − | 0.0653827i | ||||
\(779\) | −0.180494 | − | 1.71729i | −0.00646688 | − | 0.0615282i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −21.0984 | − | 9.82364i | −0.754958 | − | 0.351517i | ||||
\(782\) | −12.1436 | −0.434255 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.74186 | + | 11.5163i | 0.133638 | + | 0.411295i | ||||
\(785\) | 0.516546 | − | 0.109795i | 0.0184363 | − | 0.00391876i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.26233 | + | 1.00726i | −0.0806434 | + | 0.0359048i | −0.446662 | − | 0.894703i | \(-0.647387\pi\) |
0.366019 | + | 0.930608i | \(0.380721\pi\) | |||||||
\(788\) | −12.1794 | − | 13.5265i | −0.433872 | − | 0.481863i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.06099 | + | 1.36284i | 0.108905 | + | 0.0484877i | ||||
\(791\) | 55.9640 | 1.98985 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.4047 | 0.547037 | ||||||||
\(794\) | −9.83084 | − | 4.37697i | −0.348883 | − | 0.155333i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −31.1712 | − | 34.6191i | −1.10483 | − | 1.22704i | ||||
\(797\) | 8.84284 | − | 3.93708i | 0.313229 | − | 0.139459i | −0.244100 | − | 0.969750i | \(-0.578493\pi\) |
0.557330 | + | 0.830291i | \(0.311826\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.49179 | + | 0.742202i | −0.123531 | + | 0.0262572i | ||||
\(800\) | −3.19795 | − | 9.84226i | −0.113064 | − | 0.347977i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.65237 | −0.0936586 | ||||||||
\(803\) | 6.05183 | − | 49.5223i | 0.213564 | − | 1.74760i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.56233 | − | 43.4077i | −0.160801 | − | 1.52992i | ||||
\(806\) | −7.47777 | − | 1.58945i | −0.263393 | − | 0.0559859i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.37151 | + | 13.0491i | −0.0482496 | + | 0.459064i | ||||
\(809\) | −6.36318 | − | 4.62312i | −0.223717 | − | 0.162540i | 0.470281 | − | 0.882517i | \(-0.344153\pi\) |
−0.693998 | + | 0.719976i | \(0.744153\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.2076 | + | 37.5712i | 0.428668 | + | 1.31930i | 0.899438 | + | 0.437048i | \(0.143976\pi\) |
−0.470770 | + | 0.882256i | \(0.656024\pi\) | |||||||
\(812\) | 9.27123 | + | 4.12782i | 0.325356 | + | 0.144858i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.56603 | + | 4.27612i | −0.0899392 | + | 0.149878i | ||||
\(815\) | 9.38994 | − | 16.2639i | 0.328915 | − | 0.569698i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −28.4149 | + | 31.5580i | −0.994113 | + | 1.10407i | ||||
\(818\) | 3.58013 | − | 11.0185i | 0.125176 | − | 0.385253i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.950378 | + | 0.690490i | 0.0331886 | + | 0.0241130i | ||||
\(821\) | −3.28033 | + | 0.697257i | −0.114484 | + | 0.0243344i | −0.264798 | − | 0.964304i | \(-0.585305\pi\) |
0.150313 | + | 0.988638i | \(0.451972\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.68310 | − | 16.0136i | −0.0586691 | − | 0.558199i | −0.983891 | − | 0.178772i | \(-0.942788\pi\) |
0.925221 | − | 0.379428i | \(-0.123879\pi\) | |||||||
\(824\) | −1.52523 | + | 2.64177i | −0.0531339 | + | 0.0920306i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.05841 | − | 5.29732i | −0.106416 | − | 0.184317i | ||||
\(827\) | 12.3703 | − | 8.98751i | 0.430156 | − | 0.312526i | −0.351555 | − | 0.936167i | \(-0.614347\pi\) |
0.781711 | + | 0.623641i | \(0.214347\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.0239 | + | 40.0835i | −0.452340 | + | 1.39216i | 0.421890 | + | 0.906647i | \(0.361367\pi\) |
−0.874230 | + | 0.485512i | \(0.838633\pi\) | |||||||
\(830\) | 0.0109444 | − | 0.104129i | 0.000379886 | − | 0.00361438i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 7.46592 | + | 8.29174i | 0.258834 | + | 0.287464i | ||||
\(833\) | −14.9712 | − | 3.18223i | −0.518722 | − | 0.110258i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.0096 | + | 25.9975i | 0.519430 | + | 0.899679i | ||||
\(836\) | 8.37869 | − | 24.3788i | 0.289783 | − | 0.843157i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.19483 | + | 5.22735i | −0.248541 | + | 0.180576i | ||||
\(839\) | −1.77145 | + | 1.96739i | −0.0611573 | + | 0.0679220i | −0.772947 | − | 0.634471i | \(-0.781218\pi\) |
0.711790 | + | 0.702393i | \(0.247885\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.8797 | + | 10.6319i | −0.823437 | + | 0.366618i | ||||
\(842\) | −5.74100 | + | 2.55606i | −0.197848 | + | 0.0880876i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 8.57518 | − | 9.52371i | 0.295170 | − | 0.327819i | ||||
\(845\) | 4.12288 | − | 2.99545i | 0.141831 | − | 0.103047i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −31.0780 | + | 21.0141i | −1.06785 | + | 0.722053i | ||||
\(848\) | −16.4232 | − | 28.4458i | −0.563976 | − | 0.976834i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.30112 | + | 0.701676i | 0.113228 | + | 0.0240673i | ||||
\(851\) | −15.3679 | − | 17.0678i | −0.526805 | − | 0.585076i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.969018 | + | 9.21959i | −0.0331785 | + | 0.315673i | 0.965328 | + | 0.261040i | \(0.0840654\pi\) |
−0.998507 | + | 0.0546327i | \(0.982601\pi\) | |||||||
\(854\) | −1.99185 | + | 6.13027i | −0.0681596 | + | 0.209774i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.93314 | + | 3.58414i | −0.168611 | + | 0.122503i | ||||
\(857\) | −10.2678 | − | 17.7844i | −0.350742 | − | 0.607502i | 0.635638 | − | 0.771987i | \(-0.280737\pi\) |
−0.986380 | + | 0.164485i | \(0.947404\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.0139 | + | 31.2010i | −0.614626 | + | 1.06456i | 0.375824 | + | 0.926691i | \(0.377360\pi\) |
−0.990450 | + | 0.137872i | \(0.955974\pi\) | |||||||
\(860\) | −3.01982 | − | 28.7316i | −0.102975 | − | 0.979740i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3.15652 | + | 0.670939i | −0.107511 | + | 0.0228523i | ||||
\(863\) | 3.49209 | + | 2.53715i | 0.118872 | + | 0.0863656i | 0.645633 | − | 0.763648i | \(-0.276594\pi\) |
−0.526761 | + | 0.850014i | \(0.676594\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.52733 | − | 20.0890i | 0.221936 | − | 0.683048i | ||||
\(866\) | 4.59414 | − | 5.10230i | 0.156115 | − | 0.173383i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.6966 | + | 20.2591i | −0.397008 | + | 0.687637i | ||||
\(869\) | 12.9254 | + | 2.97627i | 0.438463 | + | 0.100963i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −11.3265 | − | 5.04287i | −0.383783 | − | 0.170871i | ||||
\(872\) | 3.13804 | + | 9.65790i | 0.106268 | + | 0.327058i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −13.1335 | − | 9.54206i | −0.444248 | − | 0.322765i | ||||
\(875\) | −4.31273 | + | 41.0329i | −0.145797 | + | 1.38716i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.4360 | − | 6.46938i | −1.02775 | − | 0.218455i | −0.336968 | − | 0.941516i | \(-0.609401\pi\) |
−0.690785 | + | 0.723061i | \(0.742735\pi\) | |||||||
\(878\) | −1.29090 | − | 12.2821i | −0.0435658 | − | 0.414501i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.18813 | + | 12.9503i | 0.242312 | + | 0.436553i | ||||
\(881\) | −43.9267 | −1.47993 | −0.739964 | − | 0.672647i | \(-0.765157\pi\) | ||||
−0.739964 | + | 0.672647i | \(0.765157\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.81685 | − | 5.59170i | −0.0611420 | − | 0.188176i | 0.915820 | − | 0.401589i | \(-0.131542\pi\) |
−0.976962 | + | 0.213413i | \(0.931542\pi\) | |||||||
\(884\) | −22.7365 | + | 4.83279i | −0.764710 | + | 0.162544i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.0188 | + | 5.35113i | −0.403781 | + | 0.179775i | ||||
\(887\) | 5.14903 | + | 5.71858i | 0.172887 | + | 0.192011i | 0.823361 | − | 0.567518i | \(-0.192096\pi\) |
−0.650474 | + | 0.759529i | \(0.725430\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 33.6334 | + | 14.9745i | 1.12803 | + | 0.502230i | ||||
\(890\) | −6.64689 | −0.222804 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −41.3640 | −1.38497 | ||||||||
\(893\) | −4.35963 | − | 1.94103i | −0.145889 | − | 0.0649541i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 25.0113 | + | 27.7779i | 0.836036 | + | 0.928512i | ||||
\(896\) | −35.2365 | + | 15.6883i | −1.17717 | + | 0.524109i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.80121 | − | 1.44564i | 0.226959 | − | 0.0482417i | ||||
\(899\) | 2.03751 | + | 6.27081i | 0.0679547 | + | 0.209143i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 41.5180 | 1.38316 | ||||||||
\(902\) | −0.576446 | − | 0.268400i | −0.0191936 | − | 0.00893675i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.16284 | + | 30.0924i | 0.105194 | + | 1.00086i | ||||
\(905\) | −7.31861 | − | 1.55562i | −0.243279 | − | 0.0517105i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.98505 | − | 18.8865i | 0.0659126 | − | 0.627117i | −0.910842 | − | 0.412756i | \(-0.864566\pi\) |
0.976754 | − | 0.214361i | \(-0.0687669\pi\) | |||||||
\(908\) | 16.9700 | + | 12.3294i | 0.563170 | + | 0.409167i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.53024 | + | 10.8650i | 0.117026 | + | 0.360170i | ||||
\(911\) | −45.7095 | − | 20.3512i | −1.51442 | − | 0.674265i | −0.529667 | − | 0.848206i | \(-0.677683\pi\) |
−0.984756 | + | 0.173941i | \(0.944350\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.0363591 | − | 0.412867i | −0.00120331 | − | 0.0136639i | ||||
\(914\) | −6.04320 | + | 10.4671i | −0.199891 | + | 0.346222i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.59961 | + | 3.99778i | −0.118935 | + | 0.132090i | ||||
\(917\) | 22.2961 | − | 68.6205i | 0.736284 | − | 2.26605i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.48708 | − | 1.80697i | −0.0820411 | − | 0.0596063i | 0.546009 | − | 0.837780i | \(-0.316147\pi\) |
−0.628050 | + | 0.778173i | \(0.716147\pi\) | |||||||
\(920\) | 23.0829 | − | 4.90641i | 0.761019 | − | 0.161760i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.34562 | − | 12.8027i | −0.0443155 | − | 0.421634i | ||||
\(923\) | −14.0270 | + | 24.2955i | −0.461705 | + | 0.799696i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.19142 | + | 5.52769i | 0.104933 | + | 0.181749i | ||||
\(926\) | −5.03648 | + | 3.65922i | −0.165509 | + | 0.120249i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.59765 | + | 7.99474i | −0.0852720 | + | 0.262440i | ||||
\(929\) | −0.0946583 | + | 0.900613i | −0.00310564 | + | 0.0295482i | −0.995965 | − | 0.0897428i | \(-0.971395\pi\) |
0.992859 | + | 0.119291i | \(0.0380621\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.6911 | − | 15.2055i | −0.448709 | − | 0.498342i | ||||
\(932\) | 42.2177 | + | 8.97365i | 1.38289 | + | 0.293942i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.79433 | − | 11.7681i | −0.222317 | − | 0.385065i | ||||
\(935\) | −18.7190 | − | 0.316034i | −0.612177 | − | 0.0103354i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 17.8423 | − | 12.9632i | 0.582881 | − | 0.423488i | −0.256881 | − | 0.966443i | \(-0.582695\pi\) |
0.839762 | + | 0.542955i | \(0.182695\pi\) | |||||||
\(938\) | 3.47133 | − | 3.85530i | 0.113343 | − | 0.125880i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.96592 | − | 1.32051i | 0.0967376 | − | 0.0430703i | ||||
\(941\) | −4.98880 | + | 2.22116i | −0.162630 | + | 0.0724077i | −0.486437 | − | 0.873715i | \(-0.661704\pi\) |
0.323807 | + | 0.946123i | \(0.395037\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.95951 | − | 2.17625i | 0.0638103 | − | 0.0708685i | ||||
\(944\) | −7.73386 | + | 5.61898i | −0.251716 | + | 0.182882i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.58059 | + | 14.9519i | 0.148928 | + | 0.486127i | ||||
\(947\) | 16.2203 | + | 28.0944i | 0.527089 | + | 0.912945i | 0.999502 | + | 0.0315677i | \(0.0100500\pi\) |
−0.472412 | + | 0.881378i | \(0.656617\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −58.8250 | − | 12.5036i | −1.90954 | − | 0.405885i | ||||
\(950\) | 3.01887 | + | 3.35279i | 0.0979450 | + | 0.108779i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.17233 | − | 20.6683i | 0.0704055 | − | 0.669864i | ||||
\(953\) | 16.6278 | − | 51.1752i | 0.538628 | − | 1.65773i | −0.197049 | − | 0.980394i | \(-0.563136\pi\) |
0.735677 | − | 0.677333i | \(-0.236864\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.2947 | + | 12.5653i | −0.559642 | + | 0.406604i | ||||
\(956\) | 6.11452 | + | 10.5907i | 0.197758 | + | 0.342527i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.83130 | + | 6.63600i | −0.123784 | + | 0.214400i | ||||
\(959\) | 1.14098 | + | 10.8557i | 0.0368440 | + | 0.350548i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.4563 | − | 3.28533i | 0.498589 | − | 0.105978i | ||||
\(962\) | 4.86330 | + | 3.53339i | 0.156799 | + | 0.113921i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.22478 | − | 13.0025i | 0.136071 | − | 0.418784i | ||||
\(965\) | 14.3625 | − | 15.9512i | 0.462346 | − | 0.513487i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 14.4075 | − | 24.9546i | 0.463315 | − | 0.802486i | −0.535809 | − | 0.844340i | \(-0.679993\pi\) |
0.999124 | + | 0.0418540i | \(0.0133264\pi\) | |||||||
\(968\) | −13.0559 | − | 15.5233i | −0.419631 | − | 0.498937i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.262659 | − | 0.116943i | −0.00843348 | − | 0.00375483i | ||||
\(971\) | −1.66685 | − | 5.13005i | −0.0534919 | − | 0.164631i | 0.920742 | − | 0.390173i | \(-0.127585\pi\) |
−0.974233 | + | 0.225542i | \(0.927585\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 41.3700 | + | 30.0571i | 1.32626 | + | 0.963586i | ||||
\(974\) | −1.38056 | + | 13.1352i | −0.0442361 | + | 0.420878i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 9.85351 | + | 2.09443i | 0.315403 | + | 0.0670410i | ||||
\(977\) | −0.346236 | − | 3.29421i | −0.0110771 | − | 0.105391i | 0.987586 | − | 0.157077i | \(-0.0502072\pi\) |
−0.998663 | + | 0.0516860i | \(0.983540\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.8254 | + | 5.03527i | −0.825383 | + | 0.160928i | ||||
\(980\) | 13.9200 | 0.444657 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −5.91123 | − | 18.1929i | −0.188635 | − | 0.580559i | ||||
\(983\) | 33.1319 | − | 7.04241i | 1.05674 | − | 0.224618i | 0.353404 | − | 0.935471i | \(-0.385024\pi\) |
0.703341 | + | 0.710853i | \(0.251691\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.1439 | + | 7.18772i | −0.514387 | + | 0.229020i | ||||
\(986\) | −1.83433 | − | 2.03723i | −0.0584170 | − | 0.0648787i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −28.3873 | − | 12.6389i | −0.903121 | − | 0.402095i | ||||
\(989\) | −72.0183 | −2.29005 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.66640 | 0.275297 | 0.137649 | − | 0.990481i | \(-0.456046\pi\) | ||||
0.137649 | + | 0.990481i | \(0.456046\pi\) | |||||||
\(992\) | −17.7015 | − | 7.88122i | −0.562023 | − | 0.250229i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −7.85464 | − | 8.72346i | −0.249134 | − | 0.276691i | ||||
\(995\) | −41.3178 | + | 18.3959i | −1.30986 | + | 0.583189i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 29.6040 | − | 6.29253i | 0.937569 | − | 0.199286i | 0.286306 | − | 0.958138i | \(-0.407573\pi\) |
0.651263 | + | 0.758852i | \(0.274239\pi\) | |||||||
\(998\) | −3.64303 | − | 11.2121i | −0.115318 | − | 0.354912i | ||||
\(999\) | 0 | 0 |
(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 | 297.2.n.b.91.5 | 72 | ||
3.2 | odd | 2 | 99.2.m.b.58.5 | yes | 72 | ||
9.2 | odd | 6 | 99.2.m.b.25.5 | yes | 72 | ||
9.4 | even | 3 | 891.2.f.e.487.5 | 36 | |||
9.5 | odd | 6 | 891.2.f.f.487.5 | 36 | |||
9.7 | even | 3 | inner | 297.2.n.b.289.5 | 72 | ||
11.4 | even | 5 | inner | 297.2.n.b.37.5 | 72 | ||
33.2 | even | 10 | 1089.2.e.o.364.9 | 36 | |||
33.20 | odd | 10 | 1089.2.e.p.364.10 | 36 | |||
33.26 | odd | 10 | 99.2.m.b.4.5 | ✓ | 72 | ||
99.2 | even | 30 | 1089.2.e.o.727.9 | 36 | |||
99.4 | even | 15 | 891.2.f.e.730.5 | 36 | |||
99.13 | odd | 30 | 9801.2.a.cn.1.9 | 18 | |||
99.20 | odd | 30 | 1089.2.e.p.727.10 | 36 | |||
99.31 | even | 15 | 9801.2.a.cp.1.10 | 18 | |||
99.59 | odd | 30 | 891.2.f.f.730.5 | 36 | |||
99.68 | even | 30 | 9801.2.a.co.1.10 | 18 | |||
99.70 | even | 15 | inner | 297.2.n.b.235.5 | 72 | ||
99.86 | odd | 30 | 9801.2.a.cm.1.9 | 18 | |||
99.92 | odd | 30 | 99.2.m.b.70.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.5 | ✓ | 72 | 33.26 | odd | 10 | ||
99.2.m.b.25.5 | yes | 72 | 9.2 | odd | 6 | ||
99.2.m.b.58.5 | yes | 72 | 3.2 | odd | 2 | ||
99.2.m.b.70.5 | yes | 72 | 99.92 | odd | 30 | ||
297.2.n.b.37.5 | 72 | 11.4 | even | 5 | inner | ||
297.2.n.b.91.5 | 72 | 1.1 | even | 1 | trivial | ||
297.2.n.b.235.5 | 72 | 99.70 | even | 15 | inner | ||
297.2.n.b.289.5 | 72 | 9.7 | even | 3 | inner | ||
891.2.f.e.487.5 | 36 | 9.4 | even | 3 | |||
891.2.f.e.730.5 | 36 | 99.4 | even | 15 | |||
891.2.f.f.487.5 | 36 | 9.5 | odd | 6 | |||
891.2.f.f.730.5 | 36 | 99.59 | odd | 30 | |||
1089.2.e.o.364.9 | 36 | 33.2 | even | 10 | |||
1089.2.e.o.727.9 | 36 | 99.2 | even | 30 | |||
1089.2.e.p.364.10 | 36 | 33.20 | odd | 10 | |||
1089.2.e.p.727.10 | 36 | 99.20 | odd | 30 | |||
9801.2.a.cm.1.9 | 18 | 99.86 | odd | 30 | |||
9801.2.a.cn.1.9 | 18 | 99.13 | odd | 30 | |||
9801.2.a.co.1.10 | 18 | 99.68 | even | 30 | |||
9801.2.a.cp.1.10 | 18 | 99.31 | even | 15 |