Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.41 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.41 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.581685 | − | 1.48211i | 0.411313 | − | 1.04801i | −0.563723 | − | 0.825964i | \(-0.690631\pi\) |
0.975036 | − | 0.222046i | \(-0.0712734\pi\) | |||||||
\(3\) | −1.51224 | − | 0.844464i | −0.873094 | − | 0.487551i | ||||
\(4\) | −0.392187 | − | 0.363896i | −0.196093 | − | 0.181948i | ||||
\(5\) | 1.51815 | − | 0.731104i | 0.678939 | − | 0.326960i | −0.0624377 | − | 0.998049i | \(-0.519887\pi\) |
0.741377 | + | 0.671089i | \(0.234173\pi\) | |||||||
\(6\) | −2.13124 | + | 1.75010i | −0.870074 | + | 0.714475i | ||||
\(7\) | 2.03794 | + | 1.68724i | 0.770271 | + | 0.637717i | ||||
\(8\) | 2.10153 | − | 1.01204i | 0.743003 | − | 0.357811i | ||||
\(9\) | 1.57376 | + | 2.55407i | 0.524587 | + | 0.851357i | ||||
\(10\) | −0.200489 | − | 2.67534i | −0.0634002 | − | 0.846018i | ||||
\(11\) | 2.16992 | + | 2.72099i | 0.654255 | + | 0.820409i | 0.992704 | − | 0.120575i | \(-0.0384739\pi\) |
−0.338450 | + | 0.940985i | \(0.609902\pi\) | |||||||
\(12\) | 0.285785 | + | 0.881487i | 0.0824990 | + | 0.254463i | ||||
\(13\) | 2.32596 | − | 5.92644i | 0.645104 | − | 1.64370i | −0.114587 | − | 0.993413i | \(-0.536554\pi\) |
0.759691 | − | 0.650285i | \(-0.225350\pi\) | |||||||
\(14\) | 3.68612 | − | 2.03901i | 0.985156 | − | 0.544949i | ||||
\(15\) | −2.91321 | − | 0.176418i | −0.752188 | − | 0.0455508i | ||||
\(16\) | −0.357492 | − | 4.77040i | −0.0893731 | − | 1.19260i | ||||
\(17\) | −5.44499 | + | 5.05221i | −1.32060 | + | 1.22534i | −0.364888 | + | 0.931052i | \(0.618893\pi\) |
−0.955716 | + | 0.294290i | \(0.904917\pi\) | |||||||
\(18\) | 4.70084 | − | 0.846824i | 1.10800 | − | 0.199598i | ||||
\(19\) | 1.72418 | − | 2.98636i | 0.395554 | − | 0.685119i | −0.597618 | − | 0.801781i | \(-0.703886\pi\) |
0.993172 | + | 0.116662i | \(0.0372194\pi\) | |||||||
\(20\) | −0.861446 | − | 0.265721i | −0.192625 | − | 0.0594170i | ||||
\(21\) | −1.65705 | − | 4.27249i | −0.361599 | − | 0.932334i | ||||
\(22\) | 5.29501 | − | 1.63329i | 1.12890 | − | 0.348220i | ||||
\(23\) | −0.708056 | + | 3.10220i | −0.147640 | + | 0.646853i | 0.845897 | + | 0.533346i | \(0.179066\pi\) |
−0.993537 | + | 0.113507i | \(0.963792\pi\) | |||||||
\(24\) | −4.03266 | − | 0.244209i | −0.823163 | − | 0.0498489i | ||||
\(25\) | −1.34717 | + | 1.68930i | −0.269434 | + | 0.337860i | ||||
\(26\) | −7.43065 | − | 6.89464i | −1.45727 | − | 1.35215i | ||||
\(27\) | −0.223094 | − | 5.19136i | −0.0429344 | − | 0.999078i | ||||
\(28\) | −0.185274 | − | 1.40331i | −0.0350135 | − | 0.265201i | ||||
\(29\) | −4.34817 | − | 1.34123i | −0.807434 | − | 0.249060i | −0.136560 | − | 0.990632i | \(-0.543605\pi\) |
−0.670874 | + | 0.741571i | \(0.734081\pi\) | |||||||
\(30\) | −1.95604 | + | 4.21508i | −0.357123 | + | 0.769564i | ||||
\(31\) | 1.08700 | − | 1.88274i | 0.195231 | − | 0.338150i | −0.751745 | − | 0.659454i | \(-0.770788\pi\) |
0.946976 | + | 0.321304i | \(0.104121\pi\) | |||||||
\(32\) | −2.82042 | − | 0.869985i | −0.498585 | − | 0.153793i | ||||
\(33\) | −0.983667 | − | 5.94722i | −0.171234 | − | 1.03528i | ||||
\(34\) | 4.32066 | + | 11.0089i | 0.740987 | + | 1.88800i | ||||
\(35\) | 4.32746 | + | 1.07154i | 0.731475 | + | 0.181124i | ||||
\(36\) | 0.312207 | − | 1.57436i | 0.0520345 | − | 0.262393i | ||||
\(37\) | −9.21927 | − | 2.84377i | −1.51564 | − | 0.467513i | −0.578268 | − | 0.815847i | \(-0.696271\pi\) |
−0.937371 | + | 0.348334i | \(0.886748\pi\) | |||||||
\(38\) | −3.42319 | − | 4.29254i | −0.555315 | − | 0.696342i | ||||
\(39\) | −8.52207 | + | 6.99803i | −1.36462 | + | 1.12058i | ||||
\(40\) | 2.45053 | − | 3.07287i | 0.387464 | − | 0.485864i | ||||
\(41\) | 2.85374 | + | 1.94565i | 0.445679 | + | 0.303859i | 0.765285 | − | 0.643692i | \(-0.222598\pi\) |
−0.319606 | + | 0.947551i | \(0.603550\pi\) | |||||||
\(42\) | −7.29618 | − | 0.0293070i | −1.12583 | − | 0.00452217i | ||||
\(43\) | 1.50543 | − | 1.02639i | 0.229576 | − | 0.156522i | −0.443069 | − | 0.896487i | \(-0.646110\pi\) |
0.672645 | + | 0.739965i | \(0.265158\pi\) | |||||||
\(44\) | 0.139145 | − | 1.85676i | 0.0209769 | − | 0.279917i | ||||
\(45\) | 4.25651 | + | 2.72689i | 0.634522 | + | 0.406500i | ||||
\(46\) | 4.18593 | + | 2.85392i | 0.617181 | + | 0.420787i | ||||
\(47\) | 2.61052 | − | 6.65149i | 0.380783 | − | 0.970219i | −0.604086 | − | 0.796919i | \(-0.706462\pi\) |
0.984869 | − | 0.173300i | \(-0.0554430\pi\) | |||||||
\(48\) | −3.48782 | + | 7.51590i | −0.503423 | + | 1.08483i | ||||
\(49\) | 1.30643 | + | 6.87701i | 0.186633 | + | 0.982430i | ||||
\(50\) | 1.72010 | + | 2.97930i | 0.243258 | + | 0.421336i | ||||
\(51\) | 12.5006 | − | 3.04208i | 1.75043 | − | 0.425976i | ||||
\(52\) | −3.06882 | + | 1.47786i | −0.425568 | + | 0.204943i | ||||
\(53\) | 0.992574 | − | 0.306169i | 0.136341 | − | 0.0420555i | −0.225834 | − | 0.974166i | \(-0.572511\pi\) |
0.362174 | + | 0.932110i | \(0.382034\pi\) | |||||||
\(54\) | −7.82393 | − | 2.68909i | −1.06470 | − | 0.365938i | ||||
\(55\) | 5.28360 | + | 2.54445i | 0.712440 | + | 0.343093i | ||||
\(56\) | 5.99036 | + | 1.48330i | 0.800495 | + | 0.198214i | ||||
\(57\) | −5.12925 | + | 3.06010i | −0.679386 | + | 0.405321i | ||||
\(58\) | −4.51711 | + | 5.66428i | −0.593126 | + | 0.743757i | ||||
\(59\) | −3.12044 | + | 2.12748i | −0.406246 | + | 0.276974i | −0.749155 | − | 0.662395i | \(-0.769540\pi\) |
0.342909 | + | 0.939369i | \(0.388588\pi\) | |||||||
\(60\) | 1.07832 | + | 1.12929i | 0.139211 | + | 0.145791i | ||||
\(61\) | −2.96963 | + | 2.75542i | −0.380222 | + | 0.352795i | −0.847012 | − | 0.531573i | \(-0.821601\pi\) |
0.466790 | + | 0.884368i | \(0.345410\pi\) | |||||||
\(62\) | −2.15813 | − | 2.70621i | −0.274083 | − | 0.343690i | ||||
\(63\) | −1.10209 | + | 7.86037i | −0.138850 | + | 0.990313i | ||||
\(64\) | 3.03527 | − | 3.80611i | 0.379408 | − | 0.475763i | ||||
\(65\) | −0.801686 | − | 10.6978i | −0.0994369 | − | 1.32689i | ||||
\(66\) | −9.38661 | − | 2.00150i | −1.15541 | − | 0.246368i | ||||
\(67\) | 5.86680 | − | 10.1616i | 0.716743 | − | 1.24144i | −0.245540 | − | 0.969386i | \(-0.578965\pi\) |
0.962283 | − | 0.272049i | \(-0.0877013\pi\) | |||||||
\(68\) | 3.97393 | 0.481910 | ||||||||
\(69\) | 3.69044 | − | 4.09335i | 0.444277 | − | 0.492781i | ||||
\(70\) | 4.10536 | − | 5.79047i | 0.490685 | − | 0.692094i | ||||
\(71\) | −2.78946 | + | 12.2214i | −0.331048 | + | 1.45042i | 0.486057 | + | 0.873927i | \(0.338435\pi\) |
−0.817105 | + | 0.576489i | \(0.804422\pi\) | |||||||
\(72\) | 5.89213 | + | 3.77474i | 0.694395 | + | 0.444857i | ||||
\(73\) | −0.944618 | − | 0.142378i | −0.110559 | − | 0.0166641i | 0.0935296 | − | 0.995617i | \(-0.470185\pi\) |
−0.204089 | + | 0.978952i | \(0.565423\pi\) | |||||||
\(74\) | −9.57749 | + | 12.0098i | −1.11336 | + | 1.39611i | ||||
\(75\) | 3.46380 | − | 1.41700i | 0.399966 | − | 0.163621i | ||||
\(76\) | −1.76293 | + | 0.543790i | −0.202221 | + | 0.0623770i | ||||
\(77\) | −0.168796 | + | 9.20640i | −0.0192361 | + | 1.04917i | ||||
\(78\) | 5.41469 | + | 16.7013i | 0.613093 | + | 1.89105i | ||||
\(79\) | 5.60914 | + | 9.71531i | 0.631077 | + | 1.09306i | 0.987332 | + | 0.158669i | \(0.0507202\pi\) |
−0.356255 | + | 0.934389i | \(0.615946\pi\) | |||||||
\(80\) | −4.03039 | − | 6.98084i | −0.450611 | − | 0.780482i | ||||
\(81\) | −4.04654 | + | 8.03900i | −0.449616 | + | 0.893222i | ||||
\(82\) | 4.54364 | − | 3.09780i | 0.501761 | − | 0.342095i | ||||
\(83\) | −4.08872 | − | 10.4179i | −0.448796 | − | 1.14351i | −0.958986 | − | 0.283452i | \(-0.908520\pi\) |
0.510191 | − | 0.860061i | \(-0.329575\pi\) | |||||||
\(84\) | −0.904867 | + | 2.27861i | −0.0987291 | + | 0.248617i | ||||
\(85\) | −4.57264 | + | 11.6509i | −0.495972 | + | 1.26372i | ||||
\(86\) | −0.645529 | − | 2.82825i | −0.0696092 | − | 0.304978i | ||||
\(87\) | 5.44287 | + | 5.70014i | 0.583536 | + | 0.611119i | ||||
\(88\) | 7.31390 | + | 3.52219i | 0.779664 | + | 0.375467i | ||||
\(89\) | 0.249789 | + | 0.636452i | 0.0264776 | + | 0.0674638i | 0.943501 | − | 0.331369i | \(-0.107511\pi\) |
−0.917024 | + | 0.398833i | \(0.869415\pi\) | |||||||
\(90\) | 6.51749 | − | 4.72242i | 0.687004 | − | 0.497786i | ||||
\(91\) | 14.7395 | − | 8.15330i | 1.54512 | − | 0.854698i | ||||
\(92\) | 1.40657 | − | 0.958981i | 0.146645 | − | 0.0999807i | ||||
\(93\) | −3.23371 | + | 1.92923i | −0.335321 | + | 0.200052i | ||||
\(94\) | −8.33973 | − | 7.73814i | −0.860178 | − | 0.798128i | ||||
\(95\) | 0.434224 | − | 5.79431i | 0.0445504 | − | 0.594484i | ||||
\(96\) | 3.53049 | + | 3.69737i | 0.360329 | + | 0.377361i | ||||
\(97\) | −3.87860 | + | 6.71793i | −0.393812 | + | 0.682103i | −0.992949 | − | 0.118544i | \(-0.962177\pi\) |
0.599137 | + | 0.800647i | \(0.295511\pi\) | |||||||
\(98\) | 10.9524 | + | 2.06397i | 1.10636 | + | 0.208493i | ||||
\(99\) | −3.53466 | + | 9.82431i | −0.355247 | + | 0.987380i | ||||
\(100\) | 1.14307 | − | 0.172290i | 0.114307 | − | 0.0172290i | ||||
\(101\) | −16.2280 | + | 7.81501i | −1.61475 | + | 0.777623i | −0.999939 | − | 0.0110513i | \(-0.996482\pi\) |
−0.614811 | + | 0.788674i | \(0.710768\pi\) | |||||||
\(102\) | 2.76269 | − | 20.2967i | 0.273547 | − | 2.00968i | ||||
\(103\) | −7.81252 | + | 3.76231i | −0.769791 | + | 0.370712i | −0.777194 | − | 0.629261i | \(-0.783358\pi\) |
0.00740349 | + | 0.999973i | \(0.497643\pi\) | |||||||
\(104\) | −1.10975 | − | 14.8085i | −0.108820 | − | 1.45210i | ||||
\(105\) | −5.63930 | − | 5.27482i | −0.550339 | − | 0.514769i | ||||
\(106\) | 0.123590 | − | 1.64920i | 0.0120041 | − | 0.160184i | ||||
\(107\) | 1.54743 | + | 3.94279i | 0.149596 | + | 0.381164i | 0.985953 | − | 0.167020i | \(-0.0534146\pi\) |
−0.836358 | + | 0.548184i | \(0.815319\pi\) | |||||||
\(108\) | −1.80162 | + | 2.11717i | −0.173361 | + | 0.203724i | ||||
\(109\) | 0.115613 | − | 0.294577i | 0.0110737 | − | 0.0282153i | −0.925230 | − | 0.379407i | \(-0.876128\pi\) |
0.936304 | + | 0.351191i | \(0.114223\pi\) | |||||||
\(110\) | 6.84453 | − | 6.35080i | 0.652601 | − | 0.605525i | ||||
\(111\) | 11.5403 | + | 12.0858i | 1.09536 | + | 1.14713i | ||||
\(112\) | 7.32027 | − | 10.3250i | 0.691701 | − | 0.975620i | ||||
\(113\) | 2.97563 | + | 0.448504i | 0.279924 | + | 0.0421917i | 0.287504 | − | 0.957780i | \(-0.407175\pi\) |
−0.00757994 | + | 0.999971i | \(0.502413\pi\) | |||||||
\(114\) | 1.55180 | + | 9.38213i | 0.145339 | + | 0.878717i | ||||
\(115\) | 1.19309 | + | 5.22727i | 0.111256 | + | 0.487446i | ||||
\(116\) | 1.21722 | + | 2.10829i | 0.113016 | + | 0.195750i | ||||
\(117\) | 18.7970 | − | 3.38615i | 1.73779 | − | 0.313050i | ||||
\(118\) | 1.33804 | + | 5.86235i | 0.123177 | + | 0.539673i | ||||
\(119\) | −19.6209 | + | 1.10912i | −1.79864 | + | 0.101672i | ||||
\(120\) | −6.30074 | + | 2.57755i | −0.575176 | + | 0.235297i | ||||
\(121\) | −0.247515 | + | 1.08444i | −0.0225014 | + | 0.0985850i | ||||
\(122\) | 2.35644 | + | 6.00410i | 0.213342 | + | 0.543586i | ||||
\(123\) | −2.67252 | − | 5.35217i | −0.240973 | − | 0.482589i | ||||
\(124\) | −1.11143 | + | 0.342830i | −0.0998092 | + | 0.0307871i | ||||
\(125\) | −2.68492 | + | 11.7634i | −0.240147 | + | 1.05215i | ||||
\(126\) | 11.0089 | + | 6.20568i | 0.980747 | + | 0.552846i | ||||
\(127\) | 0.258596 | + | 1.13298i | 0.0229466 | + | 0.100536i | 0.985104 | − | 0.171957i | \(-0.0550090\pi\) |
−0.962158 | + | 0.272493i | \(0.912152\pi\) | |||||||
\(128\) | −6.82704 | − | 11.8248i | −0.603431 | − | 1.04517i | ||||
\(129\) | −3.14333 | + | 0.280864i | −0.276755 | + | 0.0247287i | ||||
\(130\) | −16.3216 | − | 5.03454i | −1.43150 | − | 0.441558i | ||||
\(131\) | 6.49040 | + | 3.12561i | 0.567069 | + | 0.273086i | 0.695373 | − | 0.718649i | \(-0.255239\pi\) |
−0.128304 | + | 0.991735i | \(0.540953\pi\) | |||||||
\(132\) | −1.77839 | + | 2.69037i | −0.154789 | + | 0.234167i | ||||
\(133\) | 8.55249 | − | 3.17694i | 0.741595 | − | 0.275476i | ||||
\(134\) | −11.6480 | − | 14.6061i | −1.00623 | − | 1.26177i | ||||
\(135\) | −4.13412 | − | 7.71818i | −0.355808 | − | 0.664275i | ||||
\(136\) | −6.32975 | + | 16.1279i | −0.542771 | + | 1.38296i | ||||
\(137\) | 14.1560 | + | 6.81717i | 1.20943 | + | 0.582430i | 0.926349 | − | 0.376667i | \(-0.122930\pi\) |
0.283079 | + | 0.959097i | \(0.408644\pi\) | |||||||
\(138\) | −3.92011 | − | 7.85068i | −0.333702 | − | 0.668294i | ||||
\(139\) | −11.7591 | − | 8.01722i | −0.997394 | − | 0.680012i | −0.0495586 | − | 0.998771i | \(-0.515781\pi\) |
−0.947836 | + | 0.318759i | \(0.896734\pi\) | |||||||
\(140\) | −1.30724 | − | 1.99499i | −0.110482 | − | 0.168607i | ||||
\(141\) | −9.56467 | + | 7.85418i | −0.805491 | + | 0.661441i | ||||
\(142\) | 16.4909 | + | 11.2433i | 1.38389 | + | 0.943517i | ||||
\(143\) | 21.1729 | − | 6.53098i | 1.77057 | − | 0.546148i | ||||
\(144\) | 11.6213 | − | 8.42054i | 0.968445 | − | 0.701712i | ||||
\(145\) | −7.58176 | + | 1.14277i | −0.629631 | + | 0.0949016i | ||||
\(146\) | −0.760490 | + | 1.31721i | −0.0629386 | + | 0.109013i | ||||
\(147\) | 3.83174 | − | 11.5029i | 0.316036 | − | 0.948747i | ||||
\(148\) | 2.58084 | + | 4.47014i | 0.212144 | + | 0.367444i | ||||
\(149\) | −2.64072 | − | 3.31136i | −0.216337 | − | 0.271277i | 0.661807 | − | 0.749674i | \(-0.269790\pi\) |
−0.878144 | + | 0.478396i | \(0.841218\pi\) | |||||||
\(150\) | −0.0852995 | − | 5.95798i | −0.00696467 | − | 0.486467i | ||||
\(151\) | 0.653255 | − | 2.86210i | 0.0531611 | − | 0.232914i | −0.941367 | − | 0.337385i | \(-0.890458\pi\) |
0.994528 | + | 0.104471i | \(0.0333148\pi\) | |||||||
\(152\) | 0.601081 | − | 8.02087i | 0.0487541 | − | 0.650578i | ||||
\(153\) | −21.4728 | − | 5.95590i | −1.73597 | − | 0.481506i | ||||
\(154\) | 13.5467 | + | 5.60540i | 1.09162 | + | 0.451696i | ||||
\(155\) | 0.273754 | − | 3.65300i | 0.0219885 | − | 0.293416i | ||||
\(156\) | 5.88880 | + | 0.356613i | 0.471481 | + | 0.0285519i | ||||
\(157\) | 13.7721 | − | 9.38968i | 1.09914 | − | 0.749378i | 0.128929 | − | 0.991654i | \(-0.458846\pi\) |
0.970207 | + | 0.242276i | \(0.0778938\pi\) | |||||||
\(158\) | 17.6619 | − | 2.66210i | 1.40511 | − | 0.211786i | ||||
\(159\) | −1.75956 | − | 0.375191i | −0.139542 | − | 0.0297546i | ||||
\(160\) | −4.91788 | + | 0.741251i | −0.388793 | + | 0.0586011i | ||||
\(161\) | −6.67713 | + | 5.12744i | −0.526232 | + | 0.404099i | ||||
\(162\) | 9.56086 | + | 10.6736i | 0.751172 | + | 0.838596i | ||||
\(163\) | 7.61892 | − | 5.19449i | 0.596760 | − | 0.406864i | −0.226925 | − | 0.973912i | \(-0.572867\pi\) |
0.823684 | + | 0.567048i | \(0.191915\pi\) | |||||||
\(164\) | −0.411186 | − | 1.80152i | −0.0321082 | − | 0.140675i | ||||
\(165\) | −5.84139 | − | 8.30963i | −0.454752 | − | 0.646903i | ||||
\(166\) | −17.8188 | −1.38301 | ||||||||
\(167\) | −2.95865 | + | 2.74523i | −0.228947 | + | 0.212432i | −0.786302 | − | 0.617843i | \(-0.788007\pi\) |
0.557355 | + | 0.830275i | \(0.311816\pi\) | |||||||
\(168\) | −7.80629 | − | 7.30175i | −0.602268 | − | 0.563342i | ||||
\(169\) | −20.1829 | − | 18.7270i | −1.55253 | − | 1.44054i | ||||
\(170\) | 14.6081 | + | 13.5543i | 1.12039 | + | 1.03957i | ||||
\(171\) | 10.3408 | − | 0.296157i | 0.790783 | − | 0.0226477i | ||||
\(172\) | −0.963909 | − | 0.145286i | −0.0734973 | − | 0.0110779i | ||||
\(173\) | 1.18686 | − | 0.366098i | 0.0902354 | − | 0.0278339i | −0.249309 | − | 0.968424i | \(-0.580203\pi\) |
0.339544 | + | 0.940590i | \(0.389727\pi\) | |||||||
\(174\) | 11.6143 | − | 4.75124i | 0.880475 | − | 0.360190i | ||||
\(175\) | −5.59572 | + | 1.16970i | −0.422996 | + | 0.0884207i | ||||
\(176\) | 12.2045 | − | 11.3241i | 0.919948 | − | 0.853587i | ||||
\(177\) | 6.51544 | − | 0.582170i | 0.489731 | − | 0.0437586i | ||||
\(178\) | 1.08859 | 0.0815933 | ||||||||
\(179\) | −1.61532 | + | 1.49880i | −0.120735 | + | 0.112026i | −0.738230 | − | 0.674549i | \(-0.764338\pi\) |
0.617495 | + | 0.786575i | \(0.288148\pi\) | |||||||
\(180\) | −0.677041 | − | 2.61837i | −0.0504637 | − | 0.195162i | ||||
\(181\) | −14.9268 | + | 18.7176i | −1.10950 | + | 1.39127i | −0.197888 | + | 0.980225i | \(0.563408\pi\) |
−0.911614 | + | 0.411047i | \(0.865163\pi\) | |||||||
\(182\) | −3.51034 | − | 26.5882i | −0.260204 | − | 1.97085i | ||||
\(183\) | 6.81766 | − | 1.65911i | 0.503976 | − | 0.122645i | ||||
\(184\) | 1.65156 | + | 7.23594i | 0.121754 | + | 0.533440i | ||||
\(185\) | −16.0754 | + | 2.42297i | −1.18188 | + | 0.178140i | ||||
\(186\) | 0.978325 | + | 5.91492i | 0.0717343 | + | 0.433703i | ||||
\(187\) | −25.5622 | − | 3.85288i | −1.86929 | − | 0.281750i | ||||
\(188\) | −3.44426 | + | 1.65867i | −0.251198 | + | 0.120971i | ||||
\(189\) | 8.30443 | − | 10.9561i | 0.604058 | − | 0.796940i | ||||
\(190\) | −8.33522 | − | 4.01403i | −0.604701 | − | 0.291209i | ||||
\(191\) | −0.534398 | − | 0.364347i | −0.0386677 | − | 0.0263632i | 0.543832 | − | 0.839194i | \(-0.316973\pi\) |
−0.582500 | + | 0.812831i | \(0.697925\pi\) | |||||||
\(192\) | −7.80418 | + | 3.19259i | −0.563218 | + | 0.230405i | ||||
\(193\) | −1.27761 | + | 17.0486i | −0.0919647 | + | 1.22718i | 0.740097 | + | 0.672500i | \(0.234780\pi\) |
−0.832062 | + | 0.554683i | \(0.812839\pi\) | |||||||
\(194\) | 7.70059 | + | 9.65623i | 0.552870 | + | 0.693277i | ||||
\(195\) | −7.82152 | + | 16.8546i | −0.560111 | + | 1.20698i | ||||
\(196\) | 1.99015 | − | 3.17248i | 0.142154 | − | 0.226605i | ||||
\(197\) | −25.2126 | −1.79632 | −0.898162 | − | 0.439664i | \(-0.855098\pi\) | ||||
−0.898162 | + | 0.439664i | \(0.855098\pi\) | |||||||
\(198\) | 12.5046 | + | 10.9534i | 0.888666 | + | 0.778425i | ||||
\(199\) | −13.9837 | − | 9.53395i | −0.991281 | − | 0.675844i | −0.0449320 | − | 0.998990i | \(-0.514307\pi\) |
−0.946349 | + | 0.323146i | \(0.895260\pi\) | |||||||
\(200\) | −1.12148 | + | 4.91351i | −0.0793003 | + | 0.347437i | ||||
\(201\) | −17.4531 | + | 10.4125i | −1.23105 | + | 0.734441i | ||||
\(202\) | 2.14309 | + | 28.5976i | 0.150788 | + | 2.01212i | ||||
\(203\) | −6.59834 | − | 10.0698i | −0.463113 | − | 0.706759i | ||||
\(204\) | −6.00955 | − | 3.35584i | −0.420753 | − | 0.234956i | ||||
\(205\) | 5.75489 | + | 0.867410i | 0.401939 | + | 0.0605825i | ||||
\(206\) | 1.03173 | + | 13.7675i | 0.0718841 | + | 0.959226i | ||||
\(207\) | −9.03754 | + | 3.07370i | −0.628152 | + | 0.213637i | ||||
\(208\) | −29.1030 | − | 8.97709i | −2.01793 | − | 0.622449i | ||||
\(209\) | 11.8672 | − | 1.78869i | 0.820871 | − | 0.123726i | ||||
\(210\) | −11.0982 | + | 5.28978i | −0.765845 | + | 0.365029i | ||||
\(211\) | 21.9579 | + | 3.30963i | 1.51165 | + | 0.227844i | 0.851924 | − | 0.523665i | \(-0.175436\pi\) |
0.659722 | + | 0.751509i | \(0.270674\pi\) | |||||||
\(212\) | −0.500688 | − | 0.241119i | −0.0343874 | − | 0.0165601i | ||||
\(213\) | 14.5389 | − | 16.1262i | 0.996188 | − | 1.10495i | ||||
\(214\) | 6.74376 | 0.460994 | ||||||||
\(215\) | 1.53508 | − | 2.65884i | 0.104692 | − | 0.181331i | ||||
\(216\) | −5.72272 | − | 10.6840i | −0.389382 | − | 0.726955i | ||||
\(217\) | 5.39188 | − | 2.00289i | 0.366025 | − | 0.135965i | ||||
\(218\) | −0.369345 | − | 0.342702i | −0.0250152 | − | 0.0232107i | ||||
\(219\) | 1.30826 | + | 1.01301i | 0.0884040 | + | 0.0684526i | ||||
\(220\) | −1.14624 | − | 2.92058i | −0.0772796 | − | 0.196905i | ||||
\(221\) | 17.2768 | + | 44.0206i | 1.16216 | + | 2.96115i | ||||
\(222\) | 24.6253 | − | 10.0739i | 1.65274 | − | 0.676115i | ||||
\(223\) | 12.4985 | + | 11.5969i | 0.836964 | + | 0.776589i | 0.976928 | − | 0.213568i | \(-0.0685084\pi\) |
−0.139965 | + | 0.990157i | \(0.544699\pi\) | |||||||
\(224\) | −4.27999 | − | 6.53171i | −0.285969 | − | 0.436418i | ||||
\(225\) | −6.43472 | − | 0.782213i | −0.428981 | − | 0.0521476i | ||||
\(226\) | 2.39561 | − | 4.14932i | 0.159354 | − | 0.276009i | ||||
\(227\) | −20.2869 | −1.34649 | −0.673244 | − | 0.739420i | \(-0.735100\pi\) | ||||
−0.673244 | + | 0.739420i | \(0.735100\pi\) | |||||||
\(228\) | 3.12518 | + | 0.666383i | 0.206970 | + | 0.0441323i | ||||
\(229\) | 4.06642 | + | 1.95829i | 0.268717 | + | 0.129407i | 0.563390 | − | 0.826191i | \(-0.309497\pi\) |
−0.294674 | + | 0.955598i | \(0.595211\pi\) | |||||||
\(230\) | 8.44139 | + | 1.27234i | 0.556609 | + | 0.0838953i | ||||
\(231\) | 8.02973 | − | 13.7798i | 0.528317 | − | 0.906643i | ||||
\(232\) | −10.4952 | + | 1.58189i | −0.689042 | + | 0.103856i | ||||
\(233\) | −15.5288 | − | 4.78999i | −1.01732 | − | 0.313803i | −0.259137 | − | 0.965840i | \(-0.583438\pi\) |
−0.758187 | + | 0.652038i | \(0.773914\pi\) | |||||||
\(234\) | 5.91530 | − | 29.8289i | 0.386696 | − | 1.94998i | ||||
\(235\) | −0.899766 | − | 12.0065i | −0.0586942 | − | 0.783220i | ||||
\(236\) | 1.99798 | + | 0.301146i | 0.130057 | + | 0.0196030i | ||||
\(237\) | −0.278157 | − | 19.4286i | −0.0180682 | − | 1.26202i | ||||
\(238\) | −9.76934 | + | 29.7255i | −0.633252 | + | 1.92681i | ||||
\(239\) | −0.225296 | − | 3.00637i | −0.0145732 | − | 0.194466i | −0.999739 | − | 0.0228588i | \(-0.992723\pi\) |
0.985166 | − | 0.171607i | \(-0.0548959\pi\) | |||||||
\(240\) | 0.199867 | + | 13.9603i | 0.0129013 | + | 0.901131i | ||||
\(241\) | 2.83998 | − | 12.4428i | 0.182939 | − | 0.801509i | −0.797283 | − | 0.603606i | \(-0.793730\pi\) |
0.980222 | − | 0.197902i | \(-0.0634129\pi\) | |||||||
\(242\) | 1.46328 | + | 0.997645i | 0.0940629 | + | 0.0641310i | ||||
\(243\) | 12.9080 | − | 8.73977i | 0.828049 | − | 0.560656i | ||||
\(244\) | 2.16733 | 0.138749 | ||||||||
\(245\) | 7.01118 | + | 9.48522i | 0.447928 | + | 0.605988i | ||||
\(246\) | −9.48707 | + | 0.847692i | −0.604874 | + | 0.0540469i | ||||
\(247\) | −13.6881 | − | 17.1644i | −0.870955 | − | 1.09214i | ||||
\(248\) | 0.378949 | − | 5.05672i | 0.0240633 | − | 0.321102i | ||||
\(249\) | −2.61439 | + | 19.2072i | −0.165680 | + | 1.21721i | ||||
\(250\) | 15.8729 | + | 10.8220i | 1.00389 | + | 0.684441i | ||||
\(251\) | 15.0494 | + | 7.24740i | 0.949909 | + | 0.457452i | 0.843654 | − | 0.536887i | \(-0.180400\pi\) |
0.106254 | + | 0.994339i | \(0.466114\pi\) | |||||||
\(252\) | 3.29258 | − | 2.68168i | 0.207413 | − | 0.168930i | ||||
\(253\) | −9.97747 | + | 4.80489i | −0.627278 | + | 0.302081i | ||||
\(254\) | 1.82962 | + | 0.275771i | 0.114801 | + | 0.0173034i | ||||
\(255\) | 16.7537 | − | 13.7576i | 1.04916 | − | 0.861532i | ||||
\(256\) | −11.8692 | + | 1.78899i | −0.741824 | + | 0.111812i | ||||
\(257\) | −2.62275 | − | 11.4910i | −0.163602 | − | 0.716789i | −0.988464 | − | 0.151455i | \(-0.951604\pi\) |
0.824862 | − | 0.565335i | \(-0.191253\pi\) | |||||||
\(258\) | −1.41216 | + | 4.82213i | −0.0879170 | + | 0.300213i | ||||
\(259\) | −13.9902 | − | 21.3506i | −0.869311 | − | 1.32666i | ||||
\(260\) | −3.57846 | + | 4.48725i | −0.221927 | + | 0.278287i | ||||
\(261\) | −3.41738 | − | 13.2163i | −0.211531 | − | 0.818068i | ||||
\(262\) | 8.40786 | − | 7.80136i | 0.519439 | − | 0.481969i | ||||
\(263\) | 2.17505 | 0.134120 | 0.0670598 | − | 0.997749i | \(-0.478638\pi\) | ||||
0.0670598 | + | 0.997749i | \(0.478638\pi\) | |||||||
\(264\) | −8.08604 | − | 11.5027i | −0.497661 | − | 0.707944i | ||||
\(265\) | 1.28304 | − | 1.19049i | 0.0788165 | − | 0.0731310i | ||||
\(266\) | 0.266287 | − | 14.5237i | 0.0163271 | − | 0.890506i | ||||
\(267\) | 0.159719 | − | 1.17341i | 0.00977463 | − | 0.0718115i | ||||
\(268\) | −5.99864 | + | 1.85034i | −0.366425 | + | 0.113027i | ||||
\(269\) | −7.66053 | − | 1.15464i | −0.467071 | − | 0.0703996i | −0.0887094 | − | 0.996058i | \(-0.528274\pi\) |
−0.378361 | + | 0.925658i | \(0.623512\pi\) | |||||||
\(270\) | −13.8439 | + | 1.63766i | −0.842515 | + | 0.0996650i | ||||
\(271\) | 6.01585 | + | 5.58189i | 0.365437 | + | 0.339076i | 0.841423 | − | 0.540377i | \(-0.181718\pi\) |
−0.475986 | + | 0.879453i | \(0.657909\pi\) | |||||||
\(272\) | 26.0476 | + | 24.1687i | 1.57937 | + | 1.46544i | ||||
\(273\) | −29.1749 | − | 0.117188i | −1.76574 | − | 0.00709256i | ||||
\(274\) | 18.3381 | − | 17.0153i | 1.10785 | − | 1.02793i | ||||
\(275\) | −7.51982 | −0.453462 | ||||||||
\(276\) | −2.93690 | + | 0.262419i | −0.176780 | + | 0.0157957i | ||||
\(277\) | −4.41050 | − | 19.3237i | −0.265001 | − | 1.16105i | −0.915749 | − | 0.401752i | \(-0.868402\pi\) |
0.650748 | − | 0.759294i | \(-0.274456\pi\) | |||||||
\(278\) | −18.7225 | + | 12.7648i | −1.12290 | + | 0.765581i | ||||
\(279\) | 6.51933 | − | 0.186711i | 0.390302 | − | 0.0111781i | ||||
\(280\) | 10.1787 | − | 2.12770i | 0.608296 | − | 0.127154i | ||||
\(281\) | 16.2817 | − | 2.45408i | 0.971288 | − | 0.146398i | 0.355815 | − | 0.934556i | \(-0.384203\pi\) |
0.615473 | + | 0.788158i | \(0.288965\pi\) | |||||||
\(282\) | 6.07713 | + | 18.7446i | 0.361888 | + | 1.11622i | ||||
\(283\) | 17.4653 | − | 2.63247i | 1.03820 | − | 0.156484i | 0.392249 | − | 0.919859i | \(-0.371697\pi\) |
0.645956 | + | 0.763375i | \(0.276459\pi\) | |||||||
\(284\) | 5.54132 | − | 3.77801i | 0.328817 | − | 0.224183i | ||||
\(285\) | −5.54974 | + | 8.39573i | −0.328738 | + | 0.497320i | ||||
\(286\) | 2.63634 | − | 35.1795i | 0.155890 | − | 2.08021i | ||||
\(287\) | 2.53299 | + | 8.78007i | 0.149518 | + | 0.518271i | ||||
\(288\) | −2.21667 | − | 8.57270i | −0.130619 | − | 0.505151i | ||||
\(289\) | 2.85265 | − | 38.0660i | 0.167803 | − | 2.23918i | ||||
\(290\) | −2.71649 | + | 11.9017i | −0.159518 | + | 0.698894i | ||||
\(291\) | 11.5384 | − | 6.88381i | 0.676395 | − | 0.403536i | ||||
\(292\) | 0.318656 | + | 0.399582i | 0.0186479 | + | 0.0233837i | ||||
\(293\) | −8.35746 | − | 14.4755i | −0.488248 | − | 0.845670i | 0.511661 | − | 0.859188i | \(-0.329030\pi\) |
−0.999909 | + | 0.0135174i | \(0.995697\pi\) | |||||||
\(294\) | −14.8198 | − | 12.3701i | −0.864306 | − | 0.721441i | ||||
\(295\) | −3.18190 | + | 5.51121i | −0.185257 | + | 0.320875i | ||||
\(296\) | −22.2526 | + | 3.35404i | −1.29340 | + | 0.194949i | ||||
\(297\) | 13.6415 | − | 11.8719i | 0.791563 | − | 0.688875i | ||||
\(298\) | −6.44387 | + | 1.98767i | −0.373283 | + | 0.115143i | ||||
\(299\) | 16.7381 | + | 11.4118i | 0.967987 | + | 0.659962i | ||||
\(300\) | −1.87410 | − | 0.704738i | −0.108201 | − | 0.0406880i | ||||
\(301\) | 4.79975 | + | 0.448309i | 0.276653 | + | 0.0258401i | ||||
\(302\) | −3.86195 | − | 2.63303i | −0.222230 | − | 0.151514i | ||||
\(303\) | 31.1402 | + | 1.88579i | 1.78896 | + | 0.108336i | ||||
\(304\) | −14.8625 | − | 7.15742i | −0.852425 | − | 0.410506i | ||||
\(305\) | −2.49386 | + | 6.35426i | −0.142798 | + | 0.363844i | ||||
\(306\) | −21.3177 | + | 28.3606i | −1.21865 | + | 1.62127i | ||||
\(307\) | 19.9956 | + | 25.0736i | 1.14121 | + | 1.43103i | 0.885722 | + | 0.464215i | \(0.153664\pi\) |
0.255485 | + | 0.966813i | \(0.417765\pi\) | |||||||
\(308\) | 3.41637 | − | 3.54920i | 0.194666 | − | 0.202235i | ||||
\(309\) | 14.9916 | + | 0.907857i | 0.852841 | + | 0.0516462i | ||||
\(310\) | −5.25490 | − | 2.53063i | −0.298459 | − | 0.143730i | ||||
\(311\) | 15.3701 | + | 4.74105i | 0.871558 | + | 0.268840i | 0.698099 | − | 0.716001i | \(-0.254029\pi\) |
0.173459 | + | 0.984841i | \(0.444506\pi\) | |||||||
\(312\) | −10.8271 | + | 23.3313i | −0.612962 | + | 1.32087i | ||||
\(313\) | −1.75155 | − | 3.03377i | −0.0990033 | − | 0.171479i | 0.812269 | − | 0.583283i | \(-0.198232\pi\) |
−0.911272 | + | 0.411804i | \(0.864899\pi\) | |||||||
\(314\) | −5.90549 | − | 25.8736i | −0.333266 | − | 1.46013i | ||||
\(315\) | 4.07361 | + | 12.7390i | 0.229522 | + | 0.717761i | ||||
\(316\) | 1.33553 | − | 5.85136i | 0.0751297 | − | 0.329165i | ||||
\(317\) | 27.0507 | − | 8.34404i | 1.51932 | − | 0.468648i | 0.580850 | − | 0.814010i | \(-0.302720\pi\) |
0.938469 | + | 0.345362i | \(0.112244\pi\) | |||||||
\(318\) | −1.57959 | + | 2.38962i | −0.0885787 | + | 0.134003i | ||||
\(319\) | −5.78568 | − | 14.7417i | −0.323936 | − | 0.825375i | ||||
\(320\) | 1.82534 | − | 7.99735i | 0.102040 | − | 0.447065i | ||||
\(321\) | 0.989449 | − | 7.26920i | 0.0552256 | − | 0.405727i | ||||
\(322\) | 3.71544 | + | 12.8788i | 0.207053 | + | 0.717707i | ||||
\(323\) | 5.69961 | + | 24.9716i | 0.317135 | + | 1.38946i | ||||
\(324\) | 4.51236 | − | 1.68027i | 0.250687 | − | 0.0933481i | ||||
\(325\) | 6.87807 | + | 11.9132i | 0.381526 | + | 0.660823i | ||||
\(326\) | −3.26699 | − | 14.3136i | −0.180942 | − | 0.792758i | ||||
\(327\) | −0.423594 | + | 0.347841i | −0.0234248 | + | 0.0192357i | ||||
\(328\) | 7.96630 | + | 1.20073i | 0.439865 | + | 0.0662990i | ||||
\(329\) | 16.5427 | − | 9.15079i | 0.912031 | − | 0.504499i | ||||
\(330\) | −15.7136 | + | 3.82400i | −0.865006 | + | 0.210504i | ||||
\(331\) | −5.92715 | + | 5.49959i | −0.325786 | + | 0.302285i | −0.826060 | − | 0.563582i | \(-0.809423\pi\) |
0.500274 | + | 0.865867i | \(0.333232\pi\) | |||||||
\(332\) | −2.18749 | + | 5.57363i | −0.120054 | + | 0.305893i | ||||
\(333\) | −7.24576 | − | 28.0221i | −0.397065 | − | 1.53560i | ||||
\(334\) | 2.34772 | + | 5.98190i | 0.128462 | + | 0.327315i | ||||
\(335\) | 1.47752 | − | 19.7161i | 0.0807254 | − | 1.07721i | ||||
\(336\) | −19.7891 | + | 9.43220i | −1.07958 | + | 0.514569i | ||||
\(337\) | −1.63219 | − | 21.7801i | −0.0889112 | − | 1.18644i | −0.846021 | − | 0.533149i | \(-0.821008\pi\) |
0.757110 | − | 0.653288i | \(-0.226611\pi\) | |||||||
\(338\) | −39.4956 | + | 19.0201i | −2.14828 | + | 1.03455i | ||||
\(339\) | −4.12113 | − | 3.19106i | −0.223829 | − | 0.173314i | ||||
\(340\) | 6.03304 | − | 2.90536i | 0.327188 | − | 0.157565i | ||||
\(341\) | 7.48161 | − | 1.12767i | 0.405152 | − | 0.0610669i | ||||
\(342\) | 5.57617 | − | 15.4985i | 0.301525 | − | 0.838063i | ||||
\(343\) | −8.94073 | + | 16.2192i | −0.482754 | + | 0.875756i | ||||
\(344\) | 2.12496 | − | 3.68054i | 0.114570 | − | 0.198442i | ||||
\(345\) | 2.61000 | − | 8.91243i | 0.140518 | − | 0.479829i | ||||
\(346\) | 0.147782 | − | 1.97201i | 0.00794480 | − | 0.106016i | ||||
\(347\) | 15.3642 | + | 14.2559i | 0.824794 | + | 0.765297i | 0.974727 | − | 0.223399i | \(-0.0717153\pi\) |
−0.149933 | + | 0.988696i | \(0.547906\pi\) | |||||||
\(348\) | −0.0603620 | − | 4.21615i | −0.00323574 | − | 0.226010i | ||||
\(349\) | −19.7498 | + | 13.4652i | −1.05718 | + | 0.720775i | −0.961547 | − | 0.274641i | \(-0.911441\pi\) |
−0.0956363 | + | 0.995416i | \(0.530489\pi\) | |||||||
\(350\) | −1.52133 | + | 8.97386i | −0.0813184 | + | 0.479673i | ||||
\(351\) | −31.2852 | − | 10.7527i | −1.66988 | − | 0.573938i | ||||
\(352\) | −3.75286 | − | 9.56213i | −0.200028 | − | 0.509663i | ||||
\(353\) | 2.51185 | + | 1.20964i | 0.133692 | + | 0.0643827i | 0.499534 | − | 0.866294i | \(-0.333505\pi\) |
−0.365842 | + | 0.930677i | \(0.619219\pi\) | |||||||
\(354\) | 2.92710 | − | 9.99524i | 0.155573 | − | 0.531241i | ||||
\(355\) | 4.70031 | + | 20.5934i | 0.249466 | + | 1.09298i | ||||
\(356\) | 0.133639 | − | 0.340505i | 0.00708283 | − | 0.0180467i | ||||
\(357\) | 30.6082 | + | 14.8919i | 1.61996 | + | 0.788161i | ||||
\(358\) | 1.28178 | + | 3.26592i | 0.0677441 | + | 0.172609i | ||||
\(359\) | 4.15470 | − | 2.83262i | 0.219277 | − | 0.149500i | −0.448700 | − | 0.893682i | \(-0.648113\pi\) |
0.667977 | + | 0.744182i | \(0.267161\pi\) | |||||||
\(360\) | 11.7049 | + | 1.42286i | 0.616902 | + | 0.0749915i | ||||
\(361\) | 3.55442 | + | 6.15644i | 0.187075 | + | 0.324023i | ||||
\(362\) | 19.0589 | + | 33.0110i | 1.00171 | + | 1.73502i | ||||
\(363\) | 1.29007 | − | 1.43091i | 0.0677111 | − | 0.0751035i | ||||
\(364\) | −8.74759 | − | 2.16603i | −0.458498 | − | 0.113531i | ||||
\(365\) | −1.53817 | + | 0.474462i | −0.0805115 | + | 0.0248345i | ||||
\(366\) | 1.50674 | − | 11.0696i | 0.0787585 | − | 0.578617i | ||||
\(367\) | −4.68574 | + | 5.87573i | −0.244594 | + | 0.306711i | −0.888941 | − | 0.458023i | \(-0.848558\pi\) |
0.644347 | + | 0.764733i | \(0.277129\pi\) | |||||||
\(368\) | 15.0519 | + | 2.26870i | 0.784632 | + | 0.118264i | ||||
\(369\) | −0.478209 | + | 10.3506i | −0.0248946 | + | 0.538833i | ||||
\(370\) | −5.75969 | + | 25.2349i | −0.299432 | + | 1.31190i | ||||
\(371\) | 2.53939 | + | 1.05076i | 0.131839 | + | 0.0545526i | ||||
\(372\) | 1.97026 | + | 0.420118i | 0.102153 | + | 0.0217821i | ||||
\(373\) | 31.4599 | 1.62893 | 0.814465 | − | 0.580212i | \(-0.197030\pi\) | ||||
0.814465 | + | 0.580212i | \(0.197030\pi\) | |||||||
\(374\) | −20.5795 | + | 35.6448i | −1.06414 | + | 1.84315i | ||||
\(375\) | 13.9940 | − | 15.5218i | 0.722649 | − | 0.801544i | ||||
\(376\) | −1.24551 | − | 16.6202i | −0.0642325 | − | 0.857123i | ||||
\(377\) | −18.0624 | + | 22.6495i | −0.930259 | + | 1.16651i | ||||
\(378\) | −11.4076 | − | 18.6811i | −0.586744 | − | 0.960851i | ||||
\(379\) | −14.4073 | − | 18.0662i | −0.740053 | − | 0.927997i | 0.259232 | − | 0.965815i | \(-0.416531\pi\) |
−0.999285 | + | 0.0378180i | \(0.987959\pi\) | |||||||
\(380\) | −2.27882 | + | 2.11444i | −0.116901 | + | 0.108468i | ||||
\(381\) | 0.565702 | − | 1.93172i | 0.0289818 | − | 0.0989649i | ||||
\(382\) | −0.850853 | + | 0.580102i | −0.0435334 | + | 0.0296806i | ||||
\(383\) | 1.52119 | − | 1.90751i | 0.0777292 | − | 0.0974693i | −0.741446 | − | 0.671012i | \(-0.765860\pi\) |
0.819176 | + | 0.573543i | \(0.194431\pi\) | |||||||
\(384\) | 0.338553 | + | 23.6471i | 0.0172767 | + | 1.20674i | ||||
\(385\) | 6.47458 | + | 14.1001i | 0.329975 | + | 0.718610i | ||||
\(386\) | 24.5247 | + | 11.8105i | 1.24827 | + | 0.601137i | ||||
\(387\) | 4.99066 | + | 2.22969i | 0.253689 | + | 0.113342i | ||||
\(388\) | 3.96576 | − | 1.22328i | 0.201331 | − | 0.0621024i | ||||
\(389\) | −9.52120 | + | 4.58517i | −0.482744 | + | 0.232477i | −0.659396 | − | 0.751796i | \(-0.729188\pi\) |
0.176652 | + | 0.984273i | \(0.443473\pi\) | |||||||
\(390\) | 20.4307 | + | 21.3964i | 1.03455 | + | 1.08345i | ||||
\(391\) | −11.8176 | − | 20.4687i | −0.597641 | − | 1.03515i | ||||
\(392\) | 9.70533 | + | 13.1301i | 0.490193 | + | 0.663168i | ||||
\(393\) | −7.17560 | − | 10.2076i | −0.361961 | − | 0.514905i | ||||
\(394\) | −14.6658 | + | 37.3679i | −0.738852 | + | 1.88257i | ||||
\(395\) | 15.6184 | + | 10.6485i | 0.785849 | + | 0.535783i | ||||
\(396\) | 4.96127 | − | 2.56671i | 0.249313 | − | 0.128982i | ||||
\(397\) | −2.04281 | + | 27.2595i | −0.102526 | + | 1.36811i | 0.674328 | + | 0.738432i | \(0.264433\pi\) |
−0.776854 | + | 0.629681i | \(0.783186\pi\) | |||||||
\(398\) | −22.2645 | + | 15.1797i | −1.11602 | + | 0.760888i | ||||
\(399\) | −15.6163 | − | 2.41796i | −0.781791 | − | 0.121050i | ||||
\(400\) | 8.54024 | + | 5.82264i | 0.427012 | + | 0.291132i | ||||
\(401\) | 12.1335 | − | 15.2150i | 0.605920 | − | 0.759799i | −0.380368 | − | 0.924835i | \(-0.624203\pi\) |
0.986288 | + | 0.165036i | \(0.0527740\pi\) | |||||||
\(402\) | 5.28025 | + | 31.9242i | 0.263355 | + | 1.59224i | ||||
\(403\) | −8.62962 | − | 10.8212i | −0.429872 | − | 0.539043i | ||||
\(404\) | 9.20827 | + | 2.84038i | 0.458129 | + | 0.141314i | ||||
\(405\) | −0.265929 | + | 15.1629i | −0.0132141 | + | 0.753450i | ||||
\(406\) | −18.7626 | + | 3.92203i | −0.931174 | + | 0.194647i | ||||
\(407\) | −12.2672 | − | 31.2563i | −0.608062 | − | 1.54932i | ||||
\(408\) | 23.1916 | − | 19.0441i | 1.14815 | − | 0.942824i | ||||
\(409\) | −0.255921 | − | 0.0789412i | −0.0126545 | − | 0.00390339i | 0.288421 | − | 0.957504i | \(-0.406870\pi\) |
−0.301076 | + | 0.953600i | \(0.597346\pi\) | |||||||
\(410\) | 4.63313 | − | 8.02481i | 0.228814 | − | 0.396317i | ||||
\(411\) | −15.6505 | − | 22.2634i | −0.771980 | − | 1.09817i | ||||
\(412\) | 4.43306 | + | 1.36742i | 0.218401 | + | 0.0673678i | ||||
\(413\) | −9.94885 | − | 0.929249i | −0.489551 | − | 0.0457253i | ||||
\(414\) | −0.701447 | + | 15.1825i | −0.0344743 | + | 0.746181i | ||||
\(415\) | −13.8239 | − | 12.8267i | −0.678588 | − | 0.629638i | ||||
\(416\) | −11.7161 | + | 14.6915i | −0.574428 | + | 0.720310i | ||||
\(417\) | 11.0124 | + | 22.0541i | 0.539279 | + | 1.08000i | ||||
\(418\) | 4.25193 | − | 18.6289i | 0.207969 | − | 0.911170i | ||||
\(419\) | −20.4170 | + | 6.29780i | −0.997434 | + | 0.307668i | −0.750144 | − | 0.661274i | \(-0.770016\pi\) |
−0.247289 | + | 0.968942i | \(0.579540\pi\) | |||||||
\(420\) | 0.292173 | + | 4.12083i | 0.0142566 | + | 0.201076i | ||||
\(421\) | −28.5717 | − | 8.81320i | −1.39250 | − | 0.429529i | −0.494366 | − | 0.869254i | \(-0.664600\pi\) |
−0.898132 | + | 0.439725i | \(0.855076\pi\) | |||||||
\(422\) | 17.6778 | − | 30.6189i | 0.860543 | − | 1.49050i | ||||
\(423\) | 21.0967 | − | 3.80042i | 1.02576 | − | 0.184783i | ||||
\(424\) | 1.77607 | − | 1.64795i | 0.0862534 | − | 0.0800315i | ||||
\(425\) | −1.19936 | − | 16.0044i | −0.0581777 | − | 0.776328i | ||||
\(426\) | −15.4437 | − | 30.9286i | −0.748250 | − | 1.49849i | ||||
\(427\) | −10.7010 | + | 0.604899i | −0.517857 | + | 0.0292731i | ||||
\(428\) | 0.827883 | − | 2.10941i | 0.0400172 | − | 0.101962i | ||||
\(429\) | −37.5338 | − | 8.00332i | −1.81215 | − | 0.386404i | ||||
\(430\) | −3.04776 | − | 3.82177i | −0.146976 | − | 0.184302i | ||||
\(431\) | 2.25745 | + | 30.1235i | 0.108737 | + | 1.45100i | 0.738522 | + | 0.674230i | \(0.235524\pi\) |
−0.629784 | + | 0.776770i | \(0.716857\pi\) | |||||||
\(432\) | −24.6851 | + | 2.92012i | −1.18766 | + | 0.140494i | ||||
\(433\) | 8.86573 | − | 4.26951i | 0.426060 | − | 0.205180i | −0.208551 | − | 0.978011i | \(-0.566875\pi\) |
0.634611 | + | 0.772832i | \(0.281160\pi\) | |||||||
\(434\) | 0.167880 | − | 9.15641i | 0.00805848 | − | 0.439522i | ||||
\(435\) | 12.4305 | + | 4.67438i | 0.595997 | + | 0.224119i | ||||
\(436\) | −0.152537 | + | 0.0734580i | −0.00730520 | + | 0.00351800i | ||||
\(437\) | 8.04347 | + | 7.46325i | 0.384771 | + | 0.357016i | ||||
\(438\) | 2.26238 | − | 1.34973i | 0.108101 | − | 0.0644928i | ||||
\(439\) | 5.79250 | − | 14.7591i | 0.276461 | − | 0.704411i | −0.723441 | − | 0.690387i | \(-0.757440\pi\) |
0.999902 | − | 0.0140246i | \(-0.00446430\pi\) | |||||||
\(440\) | 13.6787 | 0.652107 | ||||||||
\(441\) | −15.5083 | + | 14.1595i | −0.738492 | + | 0.674262i | ||||
\(442\) | 75.2930 | 3.58132 | ||||||||
\(443\) | −5.77771 | + | 14.7214i | −0.274507 | + | 0.699434i | 0.725431 | + | 0.688295i | \(0.241641\pi\) |
−0.999938 | + | 0.0111382i | \(0.996455\pi\) | |||||||
\(444\) | −0.127984 | − | 8.93937i | −0.00607383 | − | 0.424244i | ||||
\(445\) | 0.844531 | + | 0.783611i | 0.0400346 | + | 0.0371467i | ||||
\(446\) | 24.4581 | − | 11.7784i | 1.15813 | − | 0.557725i | ||||
\(447\) | 1.19709 | + | 7.23758i | 0.0566205 | + | 0.342326i | ||||
\(448\) | 12.6075 | − | 2.63540i | 0.595650 | − | 0.124511i | ||||
\(449\) | 16.6133 | − | 8.00055i | 0.784031 | − | 0.377569i | 0.00135521 | − | 0.999999i | \(-0.499569\pi\) |
0.782676 | + | 0.622430i | \(0.213854\pi\) | |||||||
\(450\) | −4.90230 | + | 9.08195i | −0.231097 | + | 0.428127i | ||||
\(451\) | 0.898293 | + | 11.9869i | 0.0422990 | + | 0.564441i | ||||
\(452\) | −1.00379 | − | 1.25872i | −0.0472144 | − | 0.0592050i | ||||
\(453\) | −3.40482 | + | 3.77654i | −0.159972 | + | 0.177437i | ||||
\(454\) | −11.8006 | + | 30.0674i | −0.553829 | + | 1.41113i | ||||
\(455\) | 16.4159 | − | 23.1541i | 0.769590 | − | 1.08548i | ||||
\(456\) | −7.68231 | + | 11.6219i | −0.359757 | + | 0.544246i | ||||
\(457\) | −2.05117 | − | 27.3709i | −0.0959496 | − | 1.28036i | −0.812557 | − | 0.582882i | \(-0.801925\pi\) |
0.716607 | − | 0.697477i | \(-0.245694\pi\) | |||||||
\(458\) | 5.26777 | − | 4.88778i | 0.246147 | − | 0.228391i | ||||
\(459\) | 27.4426 | + | 27.1398i | 1.28091 | + | 1.26678i | ||||
\(460\) | 1.43427 | − | 2.48423i | 0.0668732 | − | 0.115828i | ||||
\(461\) | 20.9267 | + | 6.45503i | 0.974654 | + | 0.300641i | 0.740871 | − | 0.671648i | \(-0.234413\pi\) |
0.233783 | + | 0.972289i | \(0.424889\pi\) | |||||||
\(462\) | −15.7524 | − | 19.9164i | −0.732866 | − | 0.926596i | ||||
\(463\) | 2.18055 | − | 0.672612i | 0.101339 | − | 0.0312589i | −0.243671 | − | 0.969858i | \(-0.578352\pi\) |
0.345010 | + | 0.938599i | \(0.387876\pi\) | |||||||
\(464\) | −4.84378 | + | 21.2220i | −0.224867 | + | 0.985206i | ||||
\(465\) | −3.49881 | + | 5.29305i | −0.162253 | + | 0.245459i | ||||
\(466\) | −16.1322 | + | 20.2291i | −0.747307 | + | 0.937094i | ||||
\(467\) | 22.3115 | + | 20.7021i | 1.03245 | + | 0.957978i | 0.999140 | − | 0.0414670i | \(-0.0132031\pi\) |
0.0333148 | + | 0.999445i | \(0.489394\pi\) | |||||||
\(468\) | −8.60415 | − | 5.51216i | −0.397727 | − | 0.254800i | ||||
\(469\) | 29.1013 | − | 10.8101i | 1.34377 | − | 0.499162i | ||||
\(470\) | −18.3184 | − | 5.65047i | −0.844964 | − | 0.260637i | ||||
\(471\) | −28.7561 | + | 2.56942i | −1.32501 | + | 0.118393i | ||||
\(472\) | −4.40459 | + | 7.62897i | −0.202738 | + | 0.351152i | ||||
\(473\) | 6.05945 | + | 1.86909i | 0.278614 | + | 0.0859410i | ||||
\(474\) | −28.9571 | − | 10.8891i | −1.33005 | − | 0.500152i | ||||
\(475\) | 2.72210 | + | 6.93580i | 0.124898 | + | 0.318236i | ||||
\(476\) | 8.09865 | + | 6.70498i | 0.371201 | + | 0.307322i | ||||
\(477\) | 2.34405 | + | 2.05327i | 0.107327 | + | 0.0940126i | ||||
\(478\) | −4.58681 | − | 1.41485i | −0.209796 | − | 0.0647135i | ||||
\(479\) | −1.15214 | − | 1.44473i | −0.0526424 | − | 0.0660115i | 0.754813 | − | 0.655940i | \(-0.227727\pi\) |
−0.807456 | + | 0.589928i | \(0.799156\pi\) | |||||||
\(480\) | 8.06300 | + | 3.03202i | 0.368024 | + | 0.138392i | ||||
\(481\) | −38.2970 | + | 48.0230i | −1.74619 | + | 2.18966i | ||||
\(482\) | −16.7896 | − | 11.4469i | −0.764743 | − | 0.521393i | ||||
\(483\) | 14.4274 | − | 2.11535i | 0.656469 | − | 0.0962516i | ||||
\(484\) | 0.491694 | − | 0.335231i | 0.0223497 | − | 0.0152378i | ||||
\(485\) | −0.976802 | + | 13.0345i | −0.0443543 | + | 0.591867i | ||||
\(486\) | −5.44490 | − | 24.2149i | −0.246986 | − | 1.09841i | ||||
\(487\) | −17.8213 | − | 12.1504i | −0.807561 | − | 0.550586i | 0.0876900 | − | 0.996148i | \(-0.472052\pi\) |
−0.895251 | + | 0.445562i | \(0.853004\pi\) | |||||||
\(488\) | −3.45217 | + | 8.79598i | −0.156272 | + | 0.398175i | ||||
\(489\) | −15.9082 | + | 1.42144i | −0.719395 | + | 0.0642796i | ||||
\(490\) | 18.1364 | − | 4.87392i | 0.819320 | − | 0.220181i | ||||
\(491\) | 1.35909 | + | 2.35402i | 0.0613349 | + | 0.106235i | 0.895062 | − | 0.445941i | \(-0.147131\pi\) |
−0.833727 | + | 0.552176i | \(0.813798\pi\) | |||||||
\(492\) | −0.899507 | + | 3.07157i | −0.0405529 | + | 0.138477i | ||||
\(493\) | 30.4519 | − | 14.6649i | 1.37148 | − | 0.660472i | ||||
\(494\) | −33.4017 | + | 10.3031i | −1.50281 | + | 0.463556i | ||||
\(495\) | 1.81643 | + | 17.4990i | 0.0816426 | + | 0.786523i | ||||
\(496\) | −9.37002 | − | 4.51236i | −0.420726 | − | 0.202611i | ||||
\(497\) | −26.3053 | + | 20.2001i | −1.17995 | + | 0.906098i | ||||
\(498\) | 26.9464 | + | 15.0473i | 1.20750 | + | 0.674288i | ||||
\(499\) | −2.58355 | + | 3.23968i | −0.115656 | + | 0.145028i | −0.836289 | − | 0.548288i | \(-0.815280\pi\) |
0.720634 | + | 0.693316i | \(0.243851\pi\) | |||||||
\(500\) | 5.33365 | − | 3.63642i | 0.238528 | − | 0.162626i | ||||
\(501\) | 6.79244 | − | 1.65298i | 0.303464 | − | 0.0738496i | ||||
\(502\) | 19.4954 | − | 18.0891i | 0.870124 | − | 0.807357i | ||||
\(503\) | −20.2904 | − | 25.4434i | −0.904705 | − | 1.13446i | −0.990412 | − | 0.138143i | \(-0.955887\pi\) |
0.0857076 | − | 0.996320i | \(-0.472685\pi\) | |||||||
\(504\) | 5.63895 | + | 17.6342i | 0.251179 | + | 0.785488i | ||||
\(505\) | −18.9231 | + | 23.7288i | −0.842066 | + | 1.05592i | ||||
\(506\) | 1.31764 | + | 17.5826i | 0.0585761 | + | 0.781643i | ||||
\(507\) | 14.7072 | + | 45.3635i | 0.653170 | + | 2.01467i | ||||
\(508\) | 0.310870 | − | 0.538442i | 0.0137926 | − | 0.0238895i | ||||
\(509\) | 10.0004 | 0.443261 | 0.221631 | − | 0.975131i | \(-0.428862\pi\) | ||||
0.221631 | + | 0.975131i | \(0.428862\pi\) | |||||||
\(510\) | −10.6448 | − | 32.8334i | −0.471361 | − | 1.45389i | ||||
\(511\) | −1.68485 | − | 1.88396i | −0.0745335 | − | 0.0833414i | ||||
\(512\) | 1.82400 | − | 7.99145i | 0.0806100 | − | 0.353176i | ||||
\(513\) | −15.8879 | − | 8.28459i | −0.701470 | − | 0.365774i | ||||
\(514\) | −18.5565 | − | 2.79695i | −0.818494 | − | 0.123368i | ||||
\(515\) | −9.10997 | + | 11.4235i | −0.401433 | + | 0.503381i | ||||
\(516\) | 1.33498 | + | 1.03369i | 0.0587690 | + | 0.0455058i | ||||
\(517\) | 23.7632 | − | 7.32998i | 1.04511 | − | 0.322372i | ||||
\(518\) | −39.7818 | + | 8.31575i | −1.74791 | + | 0.365373i | ||||
\(519\) | −2.10398 | − | 0.448631i | −0.0923545 | − | 0.0196927i | ||||
\(520\) | −12.5114 | − | 21.6703i | −0.548659 | − | 0.950306i | ||||
\(521\) | −15.6564 | − | 27.1176i | −0.685918 | − | 1.18804i | −0.973147 | − | 0.230182i | \(-0.926068\pi\) |
0.287230 | − | 0.957862i | \(-0.407266\pi\) | |||||||
\(522\) | −21.5758 | − | 2.62279i | −0.944349 | − | 0.114796i | ||||
\(523\) | −16.3886 | + | 11.1735i | −0.716622 | + | 0.488584i | −0.865904 | − | 0.500210i | \(-0.833256\pi\) |
0.149282 | + | 0.988795i | \(0.452304\pi\) | |||||||
\(524\) | −1.40805 | − | 3.58765i | −0.0615109 | − | 0.156727i | ||||
\(525\) | 9.44985 | + | 2.95651i | 0.412425 | + | 0.129033i | ||||
\(526\) | 1.26520 | − | 3.22367i | 0.0551652 | − | 0.140559i | ||||
\(527\) | 3.59329 | + | 15.7432i | 0.156526 | + | 0.685787i | ||||
\(528\) | −28.0190 | + | 6.81857i | −1.21937 | + | 0.296740i | ||||
\(529\) | 11.6000 | + | 5.58627i | 0.504348 | + | 0.242881i | ||||
\(530\) | −1.01811 | − | 2.59409i | −0.0442237 | − | 0.112680i | ||||
\(531\) | −10.3446 | − | 4.62167i | −0.448916 | − | 0.200563i | ||||
\(532\) | −4.51025 | − | 1.86627i | −0.195544 | − | 0.0809129i | ||||
\(533\) | 18.1684 | − | 12.3870i | 0.786962 | − | 0.536542i | ||||
\(534\) | −1.64621 | − | 0.919275i | −0.0712387 | − | 0.0397809i | ||||
\(535\) | 5.23183 | + | 4.85442i | 0.226192 | + | 0.209875i | ||||
\(536\) | 2.04528 | − | 27.2923i | 0.0883425 | − | 1.17885i | ||||
\(537\) | 3.70845 | − | 0.902471i | 0.160031 | − | 0.0389445i | ||||
\(538\) | −6.16732 | + | 10.6821i | −0.265892 | + | 0.460538i | ||||
\(539\) | −15.8774 | + | 18.4773i | −0.683889 | + | 0.795875i | ||||
\(540\) | −1.18727 | + | 4.53136i | −0.0510919 | + | 0.194999i | ||||
\(541\) | 6.07600 | − | 0.915810i | 0.261228 | − | 0.0393737i | −0.0171225 | − | 0.999853i | \(-0.505451\pi\) |
0.278350 | + | 0.960480i | \(0.410212\pi\) | |||||||
\(542\) | 11.7723 | − | 5.66924i | 0.505664 | − | 0.243515i | ||||
\(543\) | 38.3794 | − | 15.7005i | 1.64702 | − | 0.673772i | ||||
\(544\) | 19.7525 | − | 9.51230i | 0.846882 | − | 0.407837i | ||||
\(545\) | −0.0398482 | − | 0.531738i | −0.00170691 | − | 0.0227772i | ||||
\(546\) | −17.1443 | + | 43.1722i | −0.733707 | + | 1.84760i | ||||
\(547\) | 1.76119 | − | 23.5015i | 0.0753031 | − | 1.00485i | −0.823734 | − | 0.566977i | \(-0.808113\pi\) |
0.899037 | − | 0.437873i | \(-0.144268\pi\) | |||||||
\(548\) | −3.07105 | − | 7.82491i | −0.131189 | − | 0.334264i | ||||
\(549\) | −11.7110 | − | 3.24828i | −0.499814 | − | 0.138633i | ||||
\(550\) | −4.37416 | + | 11.1452i | −0.186515 | + | 0.475232i | ||||
\(551\) | −11.5024 | + | 10.6727i | −0.490019 | + | 0.454672i | ||||
\(552\) | 3.61293 | − | 12.3372i | 0.153777 | − | 0.525105i | ||||
\(553\) | −4.96096 | + | 29.2632i | −0.210962 | + | 1.24440i | ||||
\(554\) | −31.2053 | − | 4.70344i | −1.32579 | − | 0.199830i | ||||
\(555\) | 26.3560 | + | 9.91094i | 1.11875 | + | 0.420696i | ||||
\(556\) | 1.69433 | + | 7.42334i | 0.0718555 | + | 0.314820i | ||||
\(557\) | −13.0500 | − | 22.6033i | −0.552946 | − | 0.957731i | −0.998060 | − | 0.0622571i | \(-0.980170\pi\) |
0.445114 | − | 0.895474i | \(-0.353163\pi\) | |||||||
\(558\) | 3.51547 | − | 9.77096i | 0.148822 | − | 0.413638i | ||||
\(559\) | −2.58125 | − | 11.3092i | −0.109175 | − | 0.478327i | ||||
\(560\) | 3.56465 | − | 21.0268i | 0.150634 | − | 0.888545i | ||||
\(561\) | 35.4026 | + | 27.4128i | 1.49470 | + | 1.15737i | ||||
\(562\) | 5.83364 | − | 25.5588i | 0.246077 | − | 1.07813i | ||||
\(563\) | −2.40819 | − | 6.13598i | −0.101493 | − | 0.258601i | 0.871103 | − | 0.491100i | \(-0.163405\pi\) |
−0.972597 | + | 0.232499i | \(0.925310\pi\) | |||||||
\(564\) | 6.60924 | + | 0.400241i | 0.278299 | + | 0.0168532i | ||||
\(565\) | 4.84536 | − | 1.49460i | 0.203846 | − | 0.0628782i | ||||
\(566\) | 6.25770 | − | 27.4168i | 0.263031 | − | 1.15241i | ||||
\(567\) | −21.8104 | + | 9.55554i | −0.915949 | + | 0.401295i | ||||
\(568\) | 6.50647 | + | 28.5067i | 0.273006 | + | 1.19612i | ||||
\(569\) | −18.3974 | − | 31.8652i | −0.771257 | − | 1.33586i | −0.936874 | − | 0.349667i | \(-0.886295\pi\) |
0.165617 | − | 0.986190i | \(-0.447038\pi\) | |||||||
\(570\) | 9.21519 | + | 13.1090i | 0.385982 | + | 0.549075i | ||||
\(571\) | −12.7983 | − | 3.94775i | −0.535592 | − | 0.165208i | 0.0151476 | − | 0.999885i | \(-0.495178\pi\) |
−0.550740 | + | 0.834677i | \(0.685654\pi\) | |||||||
\(572\) | −10.6803 | − | 5.14337i | −0.446567 | − | 0.215055i | ||||
\(573\) | 0.500463 | + | 1.00226i | 0.0209071 | + | 0.0418700i | ||||
\(574\) | 14.4864 | + | 1.35307i | 0.604652 | + | 0.0564761i | ||||
\(575\) | −4.28667 | − | 5.37531i | −0.178766 | − | 0.224166i | ||||
\(576\) | 14.4978 | + | 1.76238i | 0.604077 | + | 0.0734325i | ||||
\(577\) | −6.60622 | + | 16.8324i | −0.275020 | + | 0.700740i | 0.724909 | + | 0.688845i | \(0.241882\pi\) |
−0.999929 | + | 0.0118957i | \(0.996213\pi\) | |||||||
\(578\) | −54.7586 | − | 26.3704i | −2.27766 | − | 1.09686i | ||||
\(579\) | 16.3290 | − | 24.7027i | 0.678609 | − | 1.02661i | ||||
\(580\) | 3.38932 | + | 2.31080i | 0.140734 | + | 0.0959506i | ||||
\(581\) | 9.24492 | − | 28.1298i | 0.383544 | − | 1.16702i | ||||
\(582\) | −3.49083 | − | 21.1054i | −0.144700 | − | 0.874849i | ||||
\(583\) | 2.98688 | + | 2.03642i | 0.123704 | + | 0.0843400i | ||||
\(584\) | −2.12924 | + | 0.656782i | −0.0881084 | + | 0.0271778i | ||||
\(585\) | 26.0612 | − | 18.8833i | 1.07750 | − | 0.780728i | ||||
\(586\) | −26.3157 | + | 3.96646i | −1.08709 | + | 0.163853i | ||||
\(587\) | −5.24933 | + | 9.09211i | −0.216663 | + | 0.375271i | −0.953786 | − | 0.300488i | \(-0.902851\pi\) |
0.737123 | + | 0.675759i | \(0.236184\pi\) | |||||||
\(588\) | −5.68863 | + | 3.11695i | −0.234595 | + | 0.128541i | ||||
\(589\) | −3.74836 | − | 6.49236i | −0.154449 | − | 0.267513i | ||||
\(590\) | 6.31735 | + | 7.92170i | 0.260081 | + | 0.326131i | ||||
\(591\) | 38.1276 | + | 21.2911i | 1.56836 | + | 0.875800i | ||||
\(592\) | −10.2701 | + | 44.9963i | −0.422099 | + | 1.84934i | ||||
\(593\) | 1.33353 | − | 17.7947i | 0.0547614 | − | 0.730740i | −0.900477 | − | 0.434903i | \(-0.856783\pi\) |
0.955239 | − | 0.295836i | \(-0.0955983\pi\) | |||||||
\(594\) | −9.66031 | − | 27.1239i | −0.396367 | − | 1.11291i | ||||
\(595\) | −28.9766 | + | 16.0287i | −1.18793 | + | 0.657114i | ||||
\(596\) | −0.169335 | + | 2.25962i | −0.00693624 | + | 0.0925577i | ||||
\(597\) | 13.0957 | + | 26.2264i | 0.535973 | + | 1.07338i | ||||
\(598\) | 26.6498 | − | 18.1696i | 1.08979 | − | 0.743008i | ||||
\(599\) | −6.62891 | + | 0.999147i | −0.270850 | + | 0.0408241i | −0.283063 | − | 0.959101i | \(-0.591350\pi\) |
0.0122130 | + | 0.999925i | \(0.496112\pi\) | |||||||
\(600\) | 5.84522 | − | 6.48337i | 0.238630 | − | 0.264683i | ||||
\(601\) | −15.9669 | + | 2.40662i | −0.651302 | + | 0.0981679i | −0.466379 | − | 0.884585i | \(-0.654442\pi\) |
−0.184923 | + | 0.982753i | \(0.559204\pi\) | |||||||
\(602\) | 3.45639 | − | 6.85298i | 0.140872 | − | 0.279307i | ||||
\(603\) | 35.1863 | − | 1.00772i | 1.43290 | − | 0.0410376i | ||||
\(604\) | −1.29770 | + | 0.884759i | −0.0528028 | + | 0.0360004i | ||||
\(605\) | 0.417069 | + | 1.82730i | 0.0169563 | + | 0.0742903i | ||||
\(606\) | 20.9088 | − | 45.0563i | 0.849360 | − | 1.83029i | ||||
\(607\) | 41.1289 | 1.66937 | 0.834685 | − | 0.550728i | \(-0.185650\pi\) | ||||
0.834685 | + | 0.550728i | \(0.185650\pi\) | |||||||
\(608\) | −7.46100 | + | 6.92279i | −0.302583 | + | 0.280756i | ||||
\(609\) | 1.47475 | + | 20.8000i | 0.0597599 | + | 0.842858i | ||||
\(610\) | 7.96706 | + | 7.39235i | 0.322577 | + | 0.299308i | ||||
\(611\) | −33.3477 | − | 30.9421i | −1.34910 | − | 1.25178i | ||||
\(612\) | 6.25402 | + | 10.1497i | 0.252804 | + | 0.410277i | ||||
\(613\) | −13.7679 | − | 2.07518i | −0.556080 | − | 0.0838156i | −0.135011 | − | 0.990844i | \(-0.543107\pi\) |
−0.421069 | + | 0.907028i | \(0.638345\pi\) | |||||||
\(614\) | 48.7930 | − | 15.0506i | 1.96913 | − | 0.607395i | ||||
\(615\) | −7.97030 | − | 6.17153i | −0.321393 | − | 0.248860i | ||||
\(616\) | 8.96254 | + | 19.5183i | 0.361111 | + | 0.786416i | ||||
\(617\) | 17.9500 | − | 16.6552i | 0.722642 | − | 0.670514i | −0.230488 | − | 0.973075i | \(-0.574032\pi\) |
0.953130 | + | 0.302562i | \(0.0978418\pi\) | |||||||
\(618\) | 10.0659 | − | 21.6911i | 0.404911 | − | 0.872542i | ||||
\(619\) | −2.67810 | −0.107642 | −0.0538210 | − | 0.998551i | \(-0.517140\pi\) | ||||
−0.0538210 | + | 0.998551i | \(0.517140\pi\) | |||||||
\(620\) | −1.43667 | + | 1.33304i | −0.0576982 | + | 0.0535361i | ||||
\(621\) | 16.2626 | + | 2.98369i | 0.652595 | + | 0.119732i | ||||
\(622\) | 15.9673 | − | 20.0224i | 0.640231 | − | 0.802824i | ||||
\(623\) | −0.564792 | + | 1.71851i | −0.0226279 | + | 0.0688506i | ||||
\(624\) | 36.4300 | + | 38.1520i | 1.45837 | + | 1.52730i | ||||
\(625\) | 2.12016 | + | 9.28904i | 0.0848065 | + | 0.371561i | ||||
\(626\) | −5.51523 | + | 0.831286i | −0.220433 | + | 0.0332249i | ||||
\(627\) | −19.4566 | − | 7.31647i | −0.777020 | − | 0.292192i | ||||
\(628\) | −8.81811 | − | 1.32912i | −0.351881 | − | 0.0530375i | ||||
\(629\) | 64.5662 | − | 31.0934i | 2.57442 | − | 1.23978i | ||||
\(630\) | 21.2501 | + | 1.37255i | 0.846626 | + | 0.0546838i | ||||
\(631\) | 18.9390 | + | 9.12053i | 0.753949 | + | 0.363083i | 0.771053 | − | 0.636771i | \(-0.219730\pi\) |
−0.0171042 | + | 0.999854i | \(0.505445\pi\) | |||||||
\(632\) | 21.6201 | + | 14.7403i | 0.860000 | + | 0.586338i | ||||
\(633\) | −30.4109 | − | 23.5476i | −1.20872 | − | 0.935935i | ||||
\(634\) | 3.36822 | − | 44.9457i | 0.133769 | − | 1.78502i | ||||
\(635\) | 1.22092 | + | 1.53098i | 0.0484505 | + | 0.0607551i | ||||
\(636\) | 0.553546 | + | 0.787443i | 0.0219495 | + | 0.0312241i | ||||
\(637\) | 43.7949 | + | 8.25311i | 1.73522 | + | 0.327000i | ||||
\(638\) | −25.2142 | −0.998240 | ||||||||
\(639\) | −35.6043 | + | 12.1091i | −1.40849 | + | 0.479030i | ||||
\(640\) | −19.0097 | − | 12.9606i | −0.751423 | − | 0.512311i | ||||
\(641\) | 3.45292 | − | 15.1282i | 0.136382 | − | 0.597529i | −0.859831 | − | 0.510579i | \(-0.829431\pi\) |
0.996213 | − | 0.0869495i | \(-0.0277119\pi\) | |||||||
\(642\) | −10.1982 | − | 5.69486i | −0.402491 | − | 0.224758i | ||||
\(643\) | −0.640178 | − | 8.54258i | −0.0252462 | − | 0.336887i | −0.995498 | − | 0.0947871i | \(-0.969783\pi\) |
0.970251 | − | 0.242100i | \(-0.0778361\pi\) | |||||||
\(644\) | 4.48454 | + | 0.418868i | 0.176716 | + | 0.0165057i | ||||
\(645\) | −4.56671 | + | 2.72449i | −0.179814 | + | 0.107277i | ||||
\(646\) | 40.3261 | + | 6.07818i | 1.58661 | + | 0.239143i | ||||
\(647\) | −2.97921 | − | 39.7548i | −0.117125 | − | 1.56292i | −0.678024 | − | 0.735040i | \(-0.737164\pi\) |
0.560899 | − | 0.827884i | \(-0.310456\pi\) | |||||||
\(648\) | −0.368116 | + | 20.9895i | −0.0144610 | + | 0.824544i | ||||
\(649\) | −12.5599 | − | 3.87423i | −0.493021 | − | 0.152077i | ||||
\(650\) | 21.6575 | − | 3.26434i | 0.849476 | − | 0.128038i | ||||
\(651\) | −9.84520 | − | 1.52439i | −0.385864 | − | 0.0597457i | ||||
\(652\) | −4.87829 | − | 0.735284i | −0.191049 | − | 0.0287960i | ||||
\(653\) | −25.6612 | − | 12.3578i | −1.00420 | − | 0.483597i | −0.141839 | − | 0.989890i | \(-0.545301\pi\) |
−0.862362 | + | 0.506292i | \(0.831016\pi\) | |||||||
\(654\) | 0.269140 | + | 0.830147i | 0.0105242 | + | 0.0324613i | ||||
\(655\) | 12.1386 | 0.474293 | ||||||||
\(656\) | 8.26133 | − | 14.3090i | 0.322551 | − | 0.558674i | ||||
\(657\) | −1.12296 | − | 2.63669i | −0.0438109 | − | 0.102867i | ||||
\(658\) | −3.93980 | − | 29.8410i | −0.153589 | − | 1.16332i | ||||
\(659\) | −26.6446 | − | 24.7226i | −1.03793 | − | 0.963056i | −0.0385832 | − | 0.999255i | \(-0.512284\pi\) |
−0.999345 | + | 0.0361992i | \(0.988475\pi\) | |||||||
\(660\) | −0.732924 | + | 5.38458i | −0.0285290 | + | 0.209595i | ||||
\(661\) | 0.469156 | + | 1.19539i | 0.0182480 | + | 0.0464952i | 0.939707 | − | 0.341979i | \(-0.111097\pi\) |
−0.921459 | + | 0.388475i | \(0.873002\pi\) | |||||||
\(662\) | 4.70326 | + | 11.9837i | 0.182798 | + | 0.465761i | ||||
\(663\) | 11.0470 | − | 81.1595i | 0.429032 | − | 3.15197i | ||||
\(664\) | −19.1359 | − | 17.7556i | −0.742618 | − | 0.689049i | ||||
\(665\) | 10.6613 | − | 11.0758i | 0.413429 | − | 0.429503i | ||||
\(666\) | −45.7465 | − | 5.56101i | −1.77264 | − | 0.215485i | ||||
\(667\) | 7.23951 | − | 12.5392i | 0.280315 | − | 0.485520i | ||||
\(668\) | 2.15932 | 0.0835466 | ||||||||
\(669\) | −9.10763 | − | 28.0920i | −0.352121 | − | 1.08610i | ||||
\(670\) | −28.3620 | − | 13.6584i | −1.09572 | − | 0.527670i | ||||
\(671\) | −13.9413 | − | 2.10131i | −0.538198 | − | 0.0811204i | ||||
\(672\) | 0.956592 | + | 13.4918i | 0.0369013 | + | 0.520459i | ||||
\(673\) | −1.04620 | + | 0.157689i | −0.0403280 | + | 0.00607847i | −0.169175 | − | 0.985586i | \(-0.554110\pi\) |
0.128847 | + | 0.991664i | \(0.458872\pi\) | |||||||
\(674\) | −33.2299 | − | 10.2501i | −1.27997 | − | 0.394818i | ||||
\(675\) | 9.07031 | + | 6.61678i | 0.349116 | + | 0.254680i | ||||
\(676\) | 1.10079 | + | 14.6890i | 0.0423379 | + | 0.564960i | ||||
\(677\) | −49.4708 | − | 7.45652i | −1.90132 | − | 0.286577i | −0.909646 | − | 0.415384i | \(-0.863647\pi\) |
−0.991670 | + | 0.128807i | \(0.958885\pi\) | |||||||
\(678\) | −7.12669 | + | 4.25178i | −0.273699 | + | 0.163288i | ||||
\(679\) | −19.2391 | + | 7.14664i | −0.738331 | + | 0.274263i | ||||
\(680\) | 2.18167 | + | 29.1124i | 0.0836633 | + | 1.11641i | ||||
\(681\) | 30.6787 | + | 17.1315i | 1.17561 | + | 0.656482i | ||||
\(682\) | 2.68061 | − | 11.7445i | 0.102646 | − | 0.449721i | ||||
\(683\) | 13.6860 | + | 9.33096i | 0.523680 | + | 0.357039i | 0.796125 | − | 0.605132i | \(-0.206880\pi\) |
−0.272445 | + | 0.962171i | \(0.587832\pi\) | |||||||
\(684\) | −4.16330 | − | 3.64684i | −0.159188 | − | 0.139440i | ||||
\(685\) | 26.4750 | 1.01156 | ||||||||
\(686\) | 18.8380 | + | 22.6856i | 0.719237 | + | 0.866141i | ||||
\(687\) | −4.49572 | − | 6.39535i | −0.171522 | − | 0.243998i | ||||
\(688\) | −5.43446 | − | 6.81460i | −0.207187 | − | 0.259804i | ||||
\(689\) | 0.494194 | − | 6.59456i | 0.0188273 | − | 0.251233i | ||||
\(690\) | −11.6910 | − | 9.05253i | −0.445069 | − | 0.344624i | ||||
\(691\) | 31.6435 | + | 21.5742i | 1.20377 | + | 0.820719i | 0.987807 | − | 0.155681i | \(-0.0497573\pi\) |
0.215967 | + | 0.976401i | \(0.430710\pi\) | |||||||
\(692\) | −0.598693 | − | 0.288315i | −0.0227589 | − | 0.0109601i | ||||
\(693\) | −23.7794 | + | 14.0576i | −0.903306 | + | 0.534003i | ||||
\(694\) | 30.0659 | − | 14.4790i | 1.14129 | − | 0.549615i | ||||
\(695\) | −23.7136 | − | 3.57424i | −0.899506 | − | 0.135579i | ||||
\(696\) | 17.2071 | + | 6.47059i | 0.652234 | + | 0.245267i | ||||
\(697\) | −25.3684 | + | 3.82367i | −0.960897 | + | 0.144832i | ||||
\(698\) | 8.46872 | + | 37.1039i | 0.320546 | + | 1.40440i | ||||
\(699\) | 19.4383 | + | 20.3571i | 0.735225 | + | 0.769977i | ||||
\(700\) | 2.62021 | + | 1.57752i | 0.0990347 | + | 0.0596246i | ||||
\(701\) | 6.13638 | − | 7.69478i | 0.231768 | − | 0.290628i | −0.652325 | − | 0.757940i | \(-0.726206\pi\) |
0.884092 | + | 0.467312i | \(0.154778\pi\) | |||||||
\(702\) | −34.1348 | + | 40.1134i | −1.28834 | + | 1.51398i | ||||
\(703\) | −24.3882 | + | 22.6289i | −0.919818 | + | 0.853467i | ||||
\(704\) | 16.9427 | 0.638550 | ||||||||
\(705\) | −8.77842 | + | 18.9166i | −0.330614 | + | 0.712442i | ||||
\(706\) | 3.25392 | − | 3.01920i | 0.122463 | − | 0.113629i | ||||
\(707\) | −46.2577 | − | 11.4541i | −1.73970 | − | 0.430774i | ||||
\(708\) | −2.76712 | − | 2.14262i | −0.103995 | − | 0.0805247i | ||||
\(709\) | −21.0717 | + | 6.49975i | −0.791363 | + | 0.244103i | −0.663980 | − | 0.747750i | \(-0.731134\pi\) |
−0.127383 | + | 0.991854i | \(0.540658\pi\) | |||||||
\(710\) | 33.2558 | + | 5.01250i | 1.24807 | + | 0.188116i | ||||
\(711\) | −15.9861 | + | 29.6157i | −0.599527 | + | 1.11068i | ||||
\(712\) | 1.16906 | + | 1.08473i | 0.0438122 | + | 0.0406518i | ||||
\(713\) | 5.07097 | + | 4.70517i | 0.189909 | + | 0.176210i | ||||
\(714\) | 39.8757 | − | 36.7023i | 1.49231 | − | 1.37355i | ||||
\(715\) | 27.3689 | − | 25.3946i | 1.02354 | − | 0.949705i | ||||
\(716\) | 1.17892 | 0.0440582 | ||||||||
\(717\) | −2.19806 | + | 4.73661i | −0.0820882 | + | 0.176892i | ||||
\(718\) | −1.78153 | − | 7.80541i | −0.0664863 | − | 0.291295i | ||||
\(719\) | −28.3647 | + | 19.3387i | −1.05783 | + | 0.721214i | −0.961686 | − | 0.274154i | \(-0.911602\pi\) |
−0.0961404 | + | 0.995368i | \(0.530650\pi\) | |||||||
\(720\) | 11.4867 | − | 21.2801i | 0.428083 | − | 0.793062i | ||||
\(721\) | −22.2694 | − | 5.51423i | −0.829356 | − | 0.205360i | ||||
\(722\) | 11.1921 | − | 1.68693i | 0.416526 | − | 0.0627811i | ||||
\(723\) | −14.8022 | + | 16.4182i | −0.550500 | + | 0.610600i | ||||
\(724\) | 12.6654 | − | 1.90900i | 0.470705 | − | 0.0709474i | ||||
\(725\) | 8.12347 | − | 5.53849i | 0.301698 | − | 0.205694i | ||||
\(726\) | −1.37036 | − | 2.74437i | −0.0508587 | − | 0.101853i | ||||
\(727\) | 1.43414 | − | 19.1373i | 0.0531893 | − | 0.709762i | −0.905325 | − | 0.424719i | \(-0.860373\pi\) |
0.958515 | − | 0.285043i | \(-0.0920079\pi\) | |||||||
\(728\) | 22.7240 | − | 32.0514i | 0.842207 | − | 1.18790i | ||||
\(729\) | −26.9005 | + | 2.31632i | −0.996313 | + | 0.0857896i | ||||
\(730\) | −0.191525 | + | 2.55572i | −0.00708866 | + | 0.0945915i | ||||
\(731\) | −3.01154 | + | 13.1944i | −0.111386 | + | 0.488014i | ||||
\(732\) | −3.27754 | − | 1.83024i | −0.121141 | − | 0.0676474i | ||||
\(733\) | 14.1332 | + | 17.7225i | 0.522023 | + | 0.654596i | 0.971037 | − | 0.238929i | \(-0.0767963\pi\) |
−0.449015 | + | 0.893524i | \(0.648225\pi\) | |||||||
\(734\) | 5.98285 | + | 10.3626i | 0.220831 | + | 0.382491i | ||||
\(735\) | −2.59269 | − | 20.2646i | −0.0956329 | − | 0.747473i | ||||
\(736\) | 4.69588 | − | 8.13350i | 0.173092 | − | 0.299805i | ||||
\(737\) | 40.3800 | − | 6.08631i | 1.48742 | − | 0.224192i | ||||
\(738\) | 15.0626 | + | 6.72957i | 0.554462 | + | 0.247719i | ||||
\(739\) | 18.0820 | − | 5.57756i | 0.665158 | − | 0.205174i | 0.0562520 | − | 0.998417i | \(-0.482085\pi\) |
0.608906 | + | 0.793243i | \(0.291609\pi\) | |||||||
\(740\) | 7.18625 | + | 4.89950i | 0.264172 | + | 0.180109i | ||||
\(741\) | 6.20510 | + | 37.5159i | 0.227950 | + | 1.37818i | ||||
\(742\) | 3.03446 | − | 3.15244i | 0.111399 | − | 0.115730i | ||||
\(743\) | 10.9928 | + | 7.49473i | 0.403285 | + | 0.274955i | 0.747929 | − | 0.663778i | \(-0.231048\pi\) |
−0.344644 | + | 0.938733i | \(0.612001\pi\) | |||||||
\(744\) | −4.84328 | + | 7.32699i | −0.177563 | + | 0.268620i | ||||
\(745\) | −6.42998 | − | 3.09651i | −0.235576 | − | 0.113447i | ||||
\(746\) | 18.2997 | − | 46.6270i | 0.670001 | − | 1.70713i | ||||
\(747\) | 20.1734 | − | 26.8382i | 0.738105 | − | 0.981958i | ||||
\(748\) | 8.62310 | + | 10.8130i | 0.315292 | + | 0.395363i | ||||
\(749\) | −3.49886 | + | 10.6461i | −0.127845 | + | 0.388999i | ||||
\(750\) | −14.8649 | − | 29.7695i | −0.542791 | − | 1.08703i | ||||
\(751\) | 41.1873 | + | 19.8348i | 1.50295 | + | 0.723781i | 0.990827 | − | 0.135133i | \(-0.0431462\pi\) |
0.512120 | + | 0.858914i | \(0.328860\pi\) | |||||||
\(752\) | −32.6635 | − | 10.0754i | −1.19112 | − | 0.367411i | ||||
\(753\) | −16.6382 | − | 23.6685i | −0.606329 | − | 0.862528i | ||||
\(754\) | 23.0624 | + | 39.9453i | 0.839883 | + | 1.45472i | ||||
\(755\) | −1.10075 | − | 4.82270i | −0.0400604 | − | 0.175516i | ||||
\(756\) | −7.24377 | + | 1.27490i | −0.263453 | + | 0.0463675i | ||||
\(757\) | 2.71835 | − | 11.9099i | 0.0988001 | − | 0.432872i | −0.901200 | − | 0.433404i | \(-0.857312\pi\) |
1.00000 | 0.000532346i | \(0.000169451\pi\) | ||||||||
\(758\) | −35.1566 | + | 10.8444i | −1.27694 | + | 0.393885i | ||||
\(759\) | 19.1459 | + | 1.15944i | 0.694953 | + | 0.0420848i | ||||
\(760\) | −4.95156 | − | 12.6164i | −0.179612 | − | 0.457644i | ||||
\(761\) | −4.32536 | + | 18.9506i | −0.156794 | + | 0.686960i | 0.834021 | + | 0.551733i | \(0.186033\pi\) |
−0.990815 | + | 0.135227i | \(0.956824\pi\) | |||||||
\(762\) | −2.53396 | − | 1.96208i | −0.0917956 | − | 0.0710788i | ||||
\(763\) | 0.732635 | − | 0.405264i | 0.0265232 | − | 0.0146716i | ||||
\(764\) | 0.0769996 | + | 0.337357i | 0.00278575 | + | 0.0122052i | ||||
\(765\) | −36.9534 | + | 6.65690i | −1.33605 | + | 0.240681i | ||||
\(766\) | −1.94229 | − | 3.36414i | −0.0701777 | − | 0.121551i | ||||
\(767\) | 5.35037 | + | 23.4415i | 0.193191 | + | 0.846423i | ||||
\(768\) | 19.4598 | + | 7.31770i | 0.702196 | + | 0.264055i | ||||
\(769\) | −0.282025 | − | 0.0425085i | −0.0101701 | − | 0.00153290i | 0.143955 | − | 0.989584i | \(-0.454018\pi\) |
−0.154125 | + | 0.988051i | \(0.549256\pi\) | |||||||
\(770\) | 24.6641 | − | 1.39420i | 0.888833 | − | 0.0502433i | ||||
\(771\) | −5.73750 | + | 19.5920i | −0.206631 | + | 0.705589i | ||||
\(772\) | 6.70497 | − | 6.22131i | 0.241317 | − | 0.223910i | ||||
\(773\) | −0.737510 | + | 1.87914i | −0.0265264 | + | 0.0675881i | −0.943523 | − | 0.331306i | \(-0.892511\pi\) |
0.916997 | + | 0.398894i | \(0.130606\pi\) | |||||||
\(774\) | 6.20764 | − | 6.09972i | 0.223129 | − | 0.219250i | ||||
\(775\) | 1.71614 | + | 4.37264i | 0.0616454 | + | 0.157070i | ||||
\(776\) | −1.35215 | + | 18.0432i | −0.0485395 | + | 0.647714i | ||||
\(777\) | 3.12687 | + | 44.1015i | 0.112176 | + | 1.58213i | ||||
\(778\) | 1.25738 | + | 16.7786i | 0.0450793 | + | 0.601541i | ||||
\(779\) | 10.7308 | − | 5.16767i | 0.384470 | − | 0.185151i | ||||
\(780\) | 9.20082 | − | 3.76393i | 0.329442 | − | 0.134770i | ||||
\(781\) | −39.3073 | + | 18.9294i | −1.40652 | + | 0.677347i | ||||
\(782\) | −37.2109 | + | 5.60864i | −1.33066 | + | 0.200565i | ||||
\(783\) | −5.99277 | + | 22.8721i | −0.214164 | + | 0.817383i | ||||
\(784\) | 32.3391 | − | 8.69070i | 1.15497 | − | 0.310382i | ||||
\(785\) | 14.0434 | − | 24.3238i | 0.501230 | − | 0.868155i | ||||
\(786\) | −19.3027 | + | 4.69742i | −0.688504 | + | 0.167551i | ||||
\(787\) | −0.771127 | + | 10.2900i | −0.0274877 | + | 0.366798i | 0.966450 | + | 0.256854i | \(0.0826861\pi\) |
−0.993938 | + | 0.109944i | \(0.964933\pi\) | |||||||
\(788\) | 9.88805 | + | 9.17477i | 0.352247 | + | 0.326838i | ||||
\(789\) | −3.28921 | − | 1.83675i | −0.117099 | − | 0.0653902i | ||||
\(790\) | 24.8672 | − | 16.9542i | 0.884735 | − | 0.603202i | ||||
\(791\) | 5.30743 | + | 5.93463i | 0.188711 | + | 0.211011i | ||||
\(792\) | 2.51443 | + | 24.2233i | 0.0893463 | + | 0.860737i | ||||
\(793\) | 9.42257 | + | 24.0083i | 0.334605 | + | 0.852560i | ||||
\(794\) | 39.2132 | + | 18.8841i | 1.39163 | + | 0.670171i | ||||
\(795\) | −2.94559 | + | 0.716826i | −0.104469 | + | 0.0254232i | ||||
\(796\) | 2.01487 | + | 8.82772i | 0.0714151 | + | 0.312890i | ||||
\(797\) | 17.9208 | − | 45.6616i | 0.634789 | − | 1.61742i | −0.143602 | − | 0.989635i | \(-0.545869\pi\) |
0.778391 | − | 0.627780i | \(-0.216036\pi\) | |||||||
\(798\) | −12.6674 | + | 21.7385i | −0.448422 | + | 0.769535i | ||||
\(799\) | 19.3905 | + | 49.4061i | 0.685986 | + | 1.74786i | ||||
\(800\) | 5.26925 | − | 3.59252i | 0.186296 | − | 0.127015i | ||||
\(801\) | −1.23243 | + | 1.63960i | −0.0435459 | + | 0.0579326i | ||||
\(802\) | −15.4924 | − | 26.8335i | −0.547054 | − | 0.947525i | ||||
\(803\) | −1.66233 | − | 2.87925i | −0.0586625 | − | 0.101606i | ||||
\(804\) | 10.6339 | + | 2.26747i | 0.375030 | + | 0.0799677i | ||||
\(805\) | −6.38822 | + | 12.6659i | −0.225155 | + | 0.446415i | ||||
\(806\) | −21.0579 | + | 6.49551i | −0.741734 | + | 0.228795i | ||||
\(807\) | 10.6095 | + | 8.21514i | 0.373473 | + | 0.289186i | ||||
\(808\) | −26.1946 | + | 32.8469i | −0.921522 | + | 1.15555i | ||||
\(809\) | 34.3074 | + | 5.17101i | 1.20618 | + | 0.181803i | 0.721204 | − | 0.692722i | \(-0.243589\pi\) |
0.484980 | + | 0.874525i | \(0.338827\pi\) | |||||||
\(810\) | 22.3184 | + | 9.21416i | 0.784187 | + | 0.323752i | ||||
\(811\) | 11.3127 | − | 49.5643i | 0.397244 | − | 1.74044i | −0.240927 | − | 0.970543i | \(-0.577452\pi\) |
0.638171 | − | 0.769895i | \(-0.279691\pi\) | |||||||
\(812\) | −1.07657 | + | 6.35033i | −0.0377800 | + | 0.222853i | ||||
\(813\) | −4.38373 | − | 13.5213i | −0.153744 | − | 0.474214i | ||||
\(814\) | −53.4609 | −1.87380 | ||||||||
\(815\) | 7.76898 | − | 13.4563i | 0.272135 | − | 0.471352i | ||||
\(816\) | −18.9808 | − | 58.5452i | −0.664461 | − | 2.04949i | ||||
\(817\) | −0.469530 | − | 6.26544i | −0.0164268 | − | 0.219200i | ||||
\(818\) | −0.265865 | + | 0.333384i | −0.00929575 | + | 0.0116565i | ||||
\(819\) | 44.0206 | + | 24.8143i | 1.53820 | + | 0.867083i | ||||
\(820\) | −1.94134 | − | 2.43437i | −0.0677947 | − | 0.0850118i | ||||
\(821\) | −13.9311 | + | 12.9261i | −0.486197 | + | 0.451125i | −0.884781 | − | 0.466007i | \(-0.845692\pi\) |
0.398584 | + | 0.917132i | \(0.369502\pi\) | |||||||
\(822\) | −42.1005 | + | 10.2454i | −1.46842 | + | 0.357349i | ||||
\(823\) | 7.78442 | − | 5.30733i | 0.271348 | − | 0.185002i | −0.420000 | − | 0.907524i | \(-0.637970\pi\) |
0.691347 | + | 0.722522i | \(0.257017\pi\) | |||||||
\(824\) | −12.6106 | + | 15.8132i | −0.439312 | + | 0.550879i | ||||
\(825\) | 11.3718 | + | 6.35021i | 0.395915 | + | 0.221086i | ||||
\(826\) | −7.16434 | + | 14.2048i | −0.249279 | + | 0.494246i | ||||
\(827\) | 16.2986 | + | 7.84899i | 0.566757 | + | 0.272936i | 0.695242 | − | 0.718776i | \(-0.255297\pi\) |
−0.128485 | + | 0.991711i | \(0.541011\pi\) | |||||||
\(828\) | 4.66291 | + | 2.08326i | 0.162047 | + | 0.0723983i | ||||
\(829\) | −26.4041 | + | 8.14458i | −0.917052 | + | 0.282873i | −0.717131 | − | 0.696939i | \(-0.754545\pi\) |
−0.199921 | + | 0.979812i | \(0.564069\pi\) | |||||||
\(830\) | −27.0517 | + | 13.0274i | −0.938978 | + | 0.452188i | ||||
\(831\) | −9.64837 | + | 32.9466i | −0.334698 | + | 1.14290i | ||||
\(832\) | −15.4967 | − | 26.8412i | −0.537253 | − | 0.930549i | ||||
\(833\) | −41.8576 | − | 30.8448i | −1.45028 | − | 1.06871i | ||||
\(834\) | 39.0924 | − | 3.49299i | 1.35366 | − | 0.120953i | ||||
\(835\) | −2.48464 | + | 6.33076i | −0.0859845 | + | 0.219085i | ||||
\(836\) | −5.30505 | − | 3.61692i | −0.183479 | − | 0.125094i | ||||
\(837\) | −10.0165 | − | 5.22298i | −0.346220 | − | 0.180533i | ||||
\(838\) | −2.54222 | + | 33.9235i | −0.0878194 | + | 1.17187i | ||||
\(839\) | −14.0608 | + | 9.58647i | −0.485432 | + | 0.330962i | −0.781182 | − | 0.624304i | \(-0.785383\pi\) |
0.295750 | + | 0.955265i | \(0.404430\pi\) | |||||||
\(840\) | −17.1895 | − | 5.37796i | −0.593094 | − | 0.185557i | ||||
\(841\) | −6.85328 | − | 4.67249i | −0.236320 | − | 0.161120i | ||||
\(842\) | −29.6818 | + | 37.2198i | −1.02290 | + | 1.28268i | ||||
\(843\) | −26.6944 | − | 10.0382i | −0.919402 | − | 0.345733i | ||||
\(844\) | −7.40725 | − | 9.28840i | −0.254968 | − | 0.319720i | ||||
\(845\) | −44.3322 | − | 13.6747i | −1.52507 | − | 0.470423i | ||||
\(846\) | 6.63899 | − | 33.4782i | 0.228253 | − | 1.15101i | ||||
\(847\) | −2.33413 | + | 1.79240i | −0.0802015 | + | 0.0615876i | ||||
\(848\) | −1.81539 | − | 4.62553i | −0.0623406 | − | 0.158841i | ||||
\(849\) | −28.6348 | − | 10.7679i | −0.982745 | − | 0.369553i | ||||
\(850\) | −24.4179 | − | 7.53194i | −0.837528 | − | 0.258343i | ||||
\(851\) | 15.3497 | − | 26.5864i | 0.526181 | − | 0.911371i | ||||
\(852\) | −11.5702 | + | 1.03383i | −0.396389 | + | 0.0354183i | ||||
\(853\) | −12.8833 | − | 3.97398i | −0.441116 | − | 0.136066i | 0.0662381 | − | 0.997804i | \(-0.478900\pi\) |
−0.507354 | + | 0.861737i | \(0.669377\pi\) | |||||||
\(854\) | −5.32808 | + | 16.2119i | −0.182323 | + | 0.554760i | ||||
\(855\) | 15.4824 | − | 8.00984i | 0.529488 | − | 0.273931i | ||||
\(856\) | 7.24224 | + | 6.71981i | 0.247535 | + | 0.229678i | ||||
\(857\) | 10.3383 | − | 12.9638i | 0.353149 | − | 0.442834i | −0.573249 | − | 0.819381i | \(-0.694317\pi\) |
0.926398 | + | 0.376547i | \(0.122889\pi\) | |||||||
\(858\) | −33.6946 | + | 50.9737i | −1.15032 | + | 1.74021i | ||||
\(859\) | 7.93399 | − | 34.7611i | 0.270704 | − | 1.18603i | −0.638480 | − | 0.769639i | \(-0.720436\pi\) |
0.909184 | − | 0.416395i | \(-0.136707\pi\) | |||||||
\(860\) | −1.56958 | + | 0.484151i | −0.0535223 | + | 0.0165094i | ||||
\(861\) | 3.58395 | − | 15.4166i | 0.122141 | − | 0.525397i | ||||
\(862\) | 45.9595 | + | 14.1766i | 1.56539 | + | 0.482858i | ||||
\(863\) | −3.53797 | + | 6.12794i | −0.120434 | + | 0.208598i | −0.919939 | − | 0.392062i | \(-0.871762\pi\) |
0.799505 | + | 0.600660i | \(0.205095\pi\) | |||||||
\(864\) | −3.88719 | + | 14.8359i | −0.132245 | + | 0.504728i | ||||
\(865\) | 1.53418 | − | 1.42351i | 0.0521637 | − | 0.0484009i | ||||
\(866\) | −1.17082 | − | 15.6235i | −0.0397860 | − | 0.530908i | ||||
\(867\) | −36.4593 | + | 55.1561i | −1.23822 | + | 1.87320i | ||||
\(868\) | −2.84347 | − | 1.17658i | −0.0965135 | − | 0.0399357i | ||||
\(869\) | −14.2639 | + | 36.3438i | −0.483870 | + | 1.23288i | ||||
\(870\) | 14.1586 | − | 15.7043i | 0.480021 | − | 0.532427i | ||||
\(871\) | −46.5761 | − | 58.4046i | −1.57817 | − | 1.97896i | ||||
\(872\) | −0.0551606 | − | 0.736067i | −0.00186797 | − | 0.0249264i | ||||
\(873\) | −23.2621 | + | 0.666215i | −0.787302 | + | 0.0225480i | ||||
\(874\) | 15.7401 | − | 7.58004i | 0.532417 | − | 0.256399i | ||||
\(875\) | −25.3195 | + | 19.4431i | −0.855954 | + | 0.657296i | ||||
\(876\) | −0.144453 | − | 0.873358i | −0.00488061 | − | 0.0295080i | ||||
\(877\) | −25.9255 | + | 12.4850i | −0.875441 | + | 0.421590i | −0.816957 | − | 0.576698i | \(-0.804341\pi\) |
−0.0584834 | + | 0.998288i | \(0.518626\pi\) | |||||||
\(878\) | −18.5051 | − | 17.1702i | −0.624517 | − | 0.579467i | ||||
\(879\) | 0.414446 | + | 28.9481i | 0.0139789 | + | 0.976396i | ||||
\(880\) | 10.2492 | − | 26.1145i | 0.345500 | − | 0.880320i | ||||
\(881\) | 30.4288 | 1.02517 | 0.512587 | − | 0.858636i | \(-0.328687\pi\) | ||||
0.512587 | + | 0.858636i | \(0.328687\pi\) | |||||||
\(882\) | 11.9650 | + | 31.2214i | 0.402881 | + | 1.05128i | ||||
\(883\) | −8.72980 | −0.293781 | −0.146891 | − | 0.989153i | \(-0.546927\pi\) | ||||
−0.146891 | + | 0.989153i | \(0.546927\pi\) | |||||||
\(884\) | 9.24319 | − | 23.5513i | 0.310882 | − | 0.792114i | ||||
\(885\) | 9.46582 | − | 5.64729i | 0.318190 | − | 0.189832i | ||||
\(886\) | 18.4579 | + | 17.1264i | 0.620104 | + | 0.575373i | ||||
\(887\) | −1.06148 | + | 0.511180i | −0.0356409 | + | 0.0171637i | −0.451619 | − | 0.892211i | \(-0.649153\pi\) |
0.415978 | + | 0.909374i | \(0.363439\pi\) | |||||||
\(888\) | 36.4837 | + | 13.7194i | 1.22431 | + | 0.460392i | ||||
\(889\) | −1.38461 | + | 2.74527i | −0.0464383 | + | 0.0920732i | ||||
\(890\) | 1.65265 | − | 0.795873i | 0.0553969 | − | 0.0266777i | ||||
\(891\) | −30.6547 | + | 6.43335i | −1.02697 | + | 0.215525i | ||||
\(892\) | −0.681676 | − | 9.09633i | −0.0228242 | − | 0.304568i | ||||
\(893\) | −15.3628 | − | 19.2643i | −0.514095 | − | 0.644655i | ||||
\(894\) | 11.4232 | + | 2.43577i | 0.382050 | + | 0.0814644i | ||||
\(895\) | −1.35653 | + | 3.45638i | −0.0453438 | + | 0.115534i | ||||
\(896\) | 6.03813 | − | 35.6171i | 0.201720 | − | 1.18988i | ||||
\(897\) | −15.6752 | − | 31.3921i | −0.523379 | − | 1.04815i | ||||
\(898\) | −2.19397 | − | 29.2766i | −0.0732139 | − | 0.976971i | ||||
\(899\) | −7.25165 | + | 6.72854i | −0.241856 | + | 0.224410i | ||||
\(900\) | 2.23897 | + | 2.64834i | 0.0746322 | + | 0.0882780i | ||||
\(901\) | −3.85773 | + | 6.68178i | −0.128520 | + | 0.222602i | ||||
\(902\) | 18.2884 | + | 5.64123i | 0.608937 | + | 0.187832i | ||||
\(903\) | −6.87981 | − | 4.73117i | −0.228946 | − | 0.157443i | ||||
\(904\) | 6.70727 | − | 2.06892i | 0.223081 | − | 0.0688112i | ||||
\(905\) | −8.97666 | + | 39.3293i | −0.298394 | + | 1.30735i | ||||
\(906\) | 3.61671 | + | 7.24307i | 0.120157 | + | 0.240635i | ||||
\(907\) | 13.8167 | − | 17.3256i | 0.458777 | − | 0.575289i | −0.497606 | − | 0.867403i | \(-0.665787\pi\) |
0.956383 | + | 0.292115i | \(0.0943589\pi\) | |||||||
\(908\) | 7.95625 | + | 7.38232i | 0.264037 | + | 0.244991i | ||||
\(909\) | −45.4992 | − | 29.1486i | −1.50911 | − | 0.966797i | ||||
\(910\) | −24.7680 | − | 37.7985i | −0.821051 | − | 1.25301i | ||||
\(911\) | 16.5577 | + | 5.10737i | 0.548581 | + | 0.169215i | 0.556642 | − | 0.830753i | \(-0.312090\pi\) |
−0.00806089 | + | 0.999968i | \(0.502566\pi\) | |||||||
\(912\) | 16.4316 | + | 23.3746i | 0.544105 | + | 0.774012i | ||||
\(913\) | 19.4748 | − | 33.7314i | 0.644522 | − | 1.11634i | ||||
\(914\) | −41.7599 | − | 12.8812i | −1.38129 | − | 0.426073i | ||||
\(915\) | 9.13726 | − | 7.50321i | 0.302069 | − | 0.248048i | ||||
\(916\) | −0.882184 | − | 2.24777i | −0.0291482 | − | 0.0742683i | ||||
\(917\) | 7.95341 | + | 17.3207i | 0.262645 | + | 0.571979i | ||||
\(918\) | 56.1871 | − | 24.8861i | 1.85445 | − | 0.821364i | ||||
\(919\) | −0.549121 | − | 0.169381i | −0.0181138 | − | 0.00558737i | 0.285685 | − | 0.958324i | \(-0.407779\pi\) |
−0.303799 | + | 0.952736i | \(0.598255\pi\) | |||||||
\(920\) | 7.79754 | + | 9.77780i | 0.257077 | + | 0.322365i | ||||
\(921\) | −9.06439 | − | 54.8030i | −0.298682 | − | 1.80582i | ||||
\(922\) | 21.7398 | − | 27.2609i | 0.715963 | − | 0.897789i | ||||
\(923\) | 65.9413 | + | 44.9580i | 2.17049 | + | 1.47981i | ||||
\(924\) | −8.16356 | + | 2.48226i | −0.268561 | + | 0.0816603i | ||||
\(925\) | 17.2239 | − | 11.7431i | 0.566319 | − | 0.386110i | ||||
\(926\) | 0.271511 | − | 3.62307i | 0.00892242 | − | 0.119061i | ||||
\(927\) | −21.9043 | − | 14.0327i | −0.719430 | − | 0.460896i | ||||
\(928\) | 11.0968 | + | 7.56567i | 0.364270 | + | 0.248355i | ||||
\(929\) | −6.61825 | + | 16.8630i | −0.217138 | + | 0.553258i | −0.997390 | − | 0.0722073i | \(-0.976996\pi\) |
0.780252 | + | 0.625466i | \(0.215091\pi\) | |||||||
\(930\) | 5.80967 | + | 8.26450i | 0.190507 | + | 0.271004i | ||||
\(931\) | 22.7898 | + | 7.95570i | 0.746905 | + | 0.260737i | ||||
\(932\) | 4.34712 | + | 7.52943i | 0.142395 | + | 0.246635i | ||||
\(933\) | −19.2397 | − | 20.1491i | −0.629879 | − | 0.659652i | ||||
\(934\) | 43.6610 | − | 21.0260i | 1.42863 | − | 0.687993i | ||||
\(935\) | −41.6242 | + | 12.8394i | −1.36126 | + | 0.419892i | ||||
\(936\) | 36.0756 | − | 26.1395i | 1.17917 | − | 0.854396i | ||||
\(937\) | 13.3493 | + | 6.42871i | 0.436104 | + | 0.210017i | 0.639037 | − | 0.769176i | \(-0.279333\pi\) |
−0.202933 | + | 0.979193i | \(0.565047\pi\) | |||||||
\(938\) | 0.906086 | − | 49.4193i | 0.0295847 | − | 1.61360i | ||||
\(939\) | 0.0868591 | + | 6.06692i | 0.00283454 | + | 0.197986i | ||||
\(940\) | −4.01626 | + | 5.03622i | −0.130996 | + | 0.164264i | ||||
\(941\) | 20.2393 | − | 13.7989i | 0.659781 | − | 0.449831i | −0.186580 | − | 0.982440i | \(-0.559740\pi\) |
0.846362 | + | 0.532608i | \(0.178788\pi\) | |||||||
\(942\) | −12.9188 | + | 44.1142i | −0.420918 | + | 1.43732i | ||||
\(943\) | −8.05639 | + | 7.47524i | −0.262352 | + | 0.243427i | ||||
\(944\) | 11.2645 | + | 14.1252i | 0.366627 | + | 0.459736i | ||||
\(945\) | 4.59733 | − | 22.7045i | 0.149551 | − | 0.738577i | ||||
\(946\) | 6.29489 | − | 7.89354i | 0.204665 | − | 0.256641i | ||||
\(947\) | 1.08687 | + | 14.5032i | 0.0353184 | + | 0.471292i | 0.986621 | + | 0.163032i | \(0.0521274\pi\) |
−0.951302 | + | 0.308259i | \(0.900254\pi\) | |||||||
\(948\) | −6.96091 | + | 7.72087i | −0.226080 | + | 0.250762i | ||||
\(949\) | −3.04094 | + | 5.26705i | −0.0987129 | + | 0.170976i | ||||
\(950\) | 11.8630 | 0.384887 | ||||||||
\(951\) | −47.9535 | − | 10.2251i | −1.55500 | − | 0.331572i | ||||
\(952\) | −40.1114 | + | 22.1880i | −1.30002 | + | 0.719118i | ||||
\(953\) | −2.30571 | + | 10.1020i | −0.0746891 | + | 0.327234i | −0.998445 | − | 0.0557477i | \(-0.982246\pi\) |
0.923756 | + | 0.382982i | \(0.125103\pi\) | |||||||
\(954\) | 4.40667 | − | 2.27979i | 0.142671 | − | 0.0738108i | ||||
\(955\) | −1.07767 | − | 0.162433i | −0.0348727 | − | 0.00525622i | ||||
\(956\) | −1.00565 | + | 1.26104i | −0.0325249 | + | 0.0407850i | ||||
\(957\) | −3.69945 | + | 27.1788i | −0.119586 | + | 0.878566i | ||||
\(958\) | −2.81143 | + | 0.867212i | −0.0908332 | + | 0.0280183i | ||||
\(959\) | 17.3469 | + | 37.7776i | 0.560161 | + | 1.21990i | ||||
\(960\) | −9.51384 | + | 10.5525i | −0.307058 | + | 0.340581i | ||||
\(961\) | 13.1369 | + | 22.7537i | 0.423770 | + | 0.733991i | ||||
\(962\) | 48.8985 | + | 84.6946i | 1.57655 | + | 2.73066i | ||||
\(963\) | −7.63486 | + | 10.1573i | −0.246030 | + | 0.327313i | ||||
\(964\) | −5.64167 | + | 3.84643i | −0.181706 | + | 0.123885i | ||||
\(965\) | 10.5247 | + | 26.8164i | 0.338801 | + | 0.863252i | ||||
\(966\) | 5.25702 | − | 22.6134i | 0.169142 | − | 0.727575i | ||||
\(967\) | −18.4669 | + | 47.0528i | −0.593855 | + | 1.51312i | 0.245424 | + | 0.969416i | \(0.421073\pi\) |
−0.839279 | + | 0.543701i | \(0.817022\pi\) | |||||||
\(968\) | 0.577335 | + | 2.52947i | 0.0185562 | + | 0.0813002i | ||||
\(969\) | 12.4684 | − | 42.5763i | 0.400544 | − | 1.36775i | ||||
\(970\) | 18.7504 | + | 9.02971i | 0.602039 | + | 0.289927i | ||||
\(971\) | −6.12612 | − | 15.6091i | −0.196597 | − | 0.500920i | 0.798248 | − | 0.602329i | \(-0.205760\pi\) |
−0.994845 | + | 0.101409i | \(0.967665\pi\) | |||||||
\(972\) | −8.24271 | − | 1.26955i | −0.264385 | − | 0.0407209i | ||||
\(973\) | −10.4374 | − | 36.1791i | −0.334608 | − | 1.15985i | ||||
\(974\) | −28.3746 | + | 19.3455i | −0.909180 | + | 0.619868i | ||||
\(975\) | −0.341083 | − | 23.8239i | −0.0109234 | − | 0.762975i | ||||
\(976\) | 14.2061 | + | 13.1813i | 0.454725 | + | 0.421923i | ||||
\(977\) | 0.951845 | − | 12.7015i | 0.0304522 | − | 0.406357i | −0.961060 | − | 0.276341i | \(-0.910878\pi\) |
0.991512 | − | 0.130016i | \(-0.0415028\pi\) | |||||||
\(978\) | −7.14685 | + | 24.4045i | −0.228531 | + | 0.780371i | ||||
\(979\) | −1.18976 | + | 2.06072i | −0.0380249 | + | 0.0658610i | ||||
\(980\) | 0.701942 | − | 6.27131i | 0.0224227 | − | 0.200330i | ||||
\(981\) | 0.934317 | − | 0.168311i | 0.0298304 | − | 0.00537374i | ||||
\(982\) | 4.27947 | − | 0.645027i | 0.136563 | − | 0.0205836i | ||||
\(983\) | −2.17486 | + | 1.04736i | −0.0693671 | + | 0.0334054i | −0.468246 | − | 0.883598i | \(-0.655114\pi\) |
0.398879 | + | 0.917004i | \(0.369399\pi\) | |||||||
\(984\) | −11.0330 | − | 8.54304i | −0.351720 | − | 0.272342i | ||||
\(985\) | −38.2766 | + | 18.4331i | −1.21959 | + | 0.587326i | ||||
\(986\) | −4.02151 | − | 53.6634i | −0.128071 | − | 1.70899i | ||||
\(987\) | −32.7442 | − | 0.131525i | −1.04226 | − | 0.00418650i | ||||
\(988\) | −0.877745 | + | 11.7127i | −0.0279248 | + | 0.372631i | ||||
\(989\) | 2.11812 | + | 5.39689i | 0.0673523 | + | 0.171611i | ||||
\(990\) | 26.9921 | + | 7.48677i | 0.857864 | + | 0.237945i | ||||
\(991\) | 12.9313 | − | 32.9485i | 0.410777 | − | 1.04664i | −0.564456 | − | 0.825463i | \(-0.690914\pi\) |
0.975233 | − | 0.221180i | \(-0.0709907\pi\) | |||||||
\(992\) | −4.70375 | + | 4.36444i | −0.149344 | + | 0.138571i | ||||
\(993\) | 13.6075 | − | 3.31146i | 0.431821 | − | 0.105086i | ||||
\(994\) | 14.6374 | + | 50.7374i | 0.464269 | + | 1.60929i | ||||
\(995\) | −28.1998 | − | 4.25043i | −0.893993 | − | 0.134748i | ||||
\(996\) | 8.01475 | − | 6.58144i | 0.253957 | − | 0.208541i | ||||
\(997\) | 5.02625 | + | 22.0214i | 0.159183 | + | 0.697426i | 0.990022 | + | 0.140913i | \(0.0450038\pi\) |
−0.830839 | + | 0.556513i | \(0.812139\pi\) | |||||||
\(998\) | 3.29874 | + | 5.71358i | 0.104420 | + | 0.180860i | ||||
\(999\) | −12.7063 | + | 48.4950i | −0.402009 | + | 1.53431i |
(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 | 441.2.z.a.142.41 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.41 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.41 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.41 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.41 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.41 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.41 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.41 | yes | 648 | 441.382 | even | 21 | inner |