Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(29,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.l (of order \(2\), degree \(1\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.16 | ||
Character | \(\chi\) | \(=\) | 280.29 |
Dual form | 280.2.l.a.29.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.269098 | + | 1.38838i | −0.190281 | + | 0.981730i | ||||
\(3\) | 2.55593 | 1.47567 | 0.737834 | − | 0.674982i | \(-0.235849\pi\) | ||||
0.737834 | + | 0.674982i | \(0.235849\pi\) | |||||||
\(4\) | −1.85517 | − | 0.747219i | −0.927586 | − | 0.373609i | ||||
\(5\) | 0.790907 | − | 2.09152i | 0.353704 | − | 0.935357i | ||||
\(6\) | −0.687797 | + | 3.54859i | −0.280792 | + | 1.44871i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 1.53664 | − | 2.37460i | 0.543286 | − | 0.839548i | ||||
\(9\) | 3.53279 | 1.17760 | ||||||||
\(10\) | 2.69099 | + | 1.66090i | 0.850965 | + | 0.525223i | ||||
\(11\) | 2.94061i | 0.886628i | 0.896366 | + | 0.443314i | \(0.146197\pi\) | ||||
−0.896366 | + | 0.443314i | \(0.853803\pi\) | |||||||
\(12\) | −4.74169 | − | 1.90984i | −1.36881 | − | 0.551323i | ||||
\(13\) | 1.88215 | 0.522016 | 0.261008 | − | 0.965337i | \(-0.415945\pi\) | ||||
0.261008 | + | 0.965337i | \(0.415945\pi\) | |||||||
\(14\) | 1.38838 | + | 0.269098i | 0.371059 | + | 0.0719196i | ||||
\(15\) | 2.02150 | − | 5.34579i | 0.521950 | − | 1.38028i | ||||
\(16\) | 2.88333 | + | 2.77244i | 0.720832 | + | 0.693110i | ||||
\(17\) | 1.25432i | 0.304218i | 0.988364 | + | 0.152109i | \(0.0486065\pi\) | ||||
−0.988364 | + | 0.152109i | \(0.951394\pi\) | |||||||
\(18\) | −0.950667 | + | 4.90483i | −0.224074 | + | 1.15608i | ||||
\(19\) | 2.48842i | 0.570882i | 0.958396 | + | 0.285441i | \(0.0921401\pi\) | ||||
−0.958396 | + | 0.285441i | \(0.907860\pi\) | |||||||
\(20\) | −3.03009 | + | 3.28915i | −0.677550 | + | 0.735477i | ||||
\(21\) | − | 2.55593i | − | 0.557750i | ||||||
\(22\) | −4.08267 | − | 0.791314i | −0.870429 | − | 0.168709i | ||||
\(23\) | − | 2.92691i | − | 0.610302i | −0.952304 | − | 0.305151i | \(-0.901293\pi\) | ||
0.952304 | − | 0.305151i | \(-0.0987070\pi\) | |||||||
\(24\) | 3.92756 | − | 6.06931i | 0.801709 | − | 1.23889i | ||||
\(25\) | −3.74893 | − | 3.30840i | −0.749786 | − | 0.661680i | ||||
\(26\) | −0.506485 | + | 2.61314i | −0.0993298 | + | 0.512478i | ||||
\(27\) | 1.36176 | 0.262071 | ||||||||
\(28\) | −0.747219 | + | 1.85517i | −0.141211 | + | 0.350595i | ||||
\(29\) | 0.808725i | 0.150177i | 0.997177 | + | 0.0750883i | \(0.0239239\pi\) | ||||
−0.997177 | + | 0.0750883i | \(0.976076\pi\) | |||||||
\(30\) | 6.87798 | + | 4.24515i | 1.25574 | + | 0.775055i | ||||
\(31\) | −10.5159 | −1.88870 | −0.944352 | − | 0.328938i | \(-0.893309\pi\) | ||||
−0.944352 | + | 0.328938i | \(0.893309\pi\) | |||||||
\(32\) | −4.62509 | + | 3.25708i | −0.817607 | + | 0.575776i | ||||
\(33\) | 7.51600i | 1.30837i | ||||||||
\(34\) | −1.74147 | − | 0.337536i | −0.298660 | − | 0.0578870i | ||||
\(35\) | −2.09152 | − | 0.790907i | −0.353532 | − | 0.133688i | ||||
\(36\) | −6.55392 | − | 2.63976i | −1.09232 | − | 0.439961i | ||||
\(37\) | 2.08227 | 0.342323 | 0.171162 | − | 0.985243i | \(-0.445248\pi\) | ||||
0.171162 | + | 0.985243i | \(0.445248\pi\) | |||||||
\(38\) | −3.45486 | − | 0.669629i | −0.560452 | − | 0.108628i | ||||
\(39\) | 4.81066 | 0.770322 | ||||||||
\(40\) | −3.75119 | − | 5.09201i | −0.593115 | − | 0.805118i | ||||
\(41\) | −9.10984 | −1.42272 | −0.711359 | − | 0.702829i | \(-0.751920\pi\) | ||||
−0.711359 | + | 0.702829i | \(0.751920\pi\) | |||||||
\(42\) | 3.54859 | + | 0.687797i | 0.547560 | + | 0.106129i | ||||
\(43\) | 11.5541 | 1.76198 | 0.880992 | − | 0.473132i | \(-0.156877\pi\) | ||||
0.880992 | + | 0.473132i | \(0.156877\pi\) | |||||||
\(44\) | 2.19728 | − | 5.45534i | 0.331253 | − | 0.822424i | ||||
\(45\) | 2.79410 | − | 7.38890i | 0.416521 | − | 1.10147i | ||||
\(46\) | 4.06365 | + | 0.787626i | 0.599152 | + | 0.116129i | ||||
\(47\) | 10.2657i | 1.49740i | 0.662907 | + | 0.748702i | \(0.269323\pi\) | ||||
−0.662907 | + | 0.748702i | \(0.730677\pi\) | |||||||
\(48\) | 7.36959 | + | 7.08617i | 1.06371 | + | 1.02280i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 5.60213 | − | 4.31464i | 0.792261 | − | 0.610182i | ||||
\(51\) | 3.20596i | 0.448925i | ||||||||
\(52\) | −3.49172 | − | 1.40638i | −0.484215 | − | 0.195030i | ||||
\(53\) | −9.17072 | −1.25970 | −0.629848 | − | 0.776719i | \(-0.716883\pi\) | ||||
−0.629848 | + | 0.776719i | \(0.716883\pi\) | |||||||
\(54\) | −0.366448 | + | 1.89064i | −0.0498672 | + | 0.257283i | ||||
\(55\) | 6.15036 | + | 2.32575i | 0.829314 | + | 0.313604i | ||||
\(56\) | −2.37460 | − | 1.53664i | −0.317319 | − | 0.205343i | ||||
\(57\) | 6.36023i | 0.842432i | ||||||||
\(58\) | −1.12281 | − | 0.217627i | −0.147433 | − | 0.0285758i | ||||
\(59\) | 10.0070i | 1.30281i | 0.758732 | + | 0.651403i | \(0.225819\pi\) | ||||
−0.758732 | + | 0.651403i | \(0.774181\pi\) | |||||||
\(60\) | −7.74471 | + | 8.40685i | −0.999838 | + | 1.08532i | ||||
\(61\) | − | 10.3599i | − | 1.32645i | −0.748419 | − | 0.663226i | \(-0.769187\pi\) | ||
0.748419 | − | 0.663226i | \(-0.230813\pi\) | |||||||
\(62\) | 2.82980 | − | 14.6000i | 0.359385 | − | 1.85420i | ||||
\(63\) | − | 3.53279i | − | 0.445089i | ||||||
\(64\) | −3.27745 | − | 7.29783i | −0.409681 | − | 0.912229i | ||||
\(65\) | 1.48861 | − | 3.93657i | 0.184639 | − | 0.488271i | ||||
\(66\) | −10.4350 | − | 2.02254i | −1.28446 | − | 0.248958i | ||||
\(67\) | −2.89235 | −0.353357 | −0.176678 | − | 0.984269i | \(-0.556535\pi\) | ||||
−0.176678 | + | 0.984269i | \(0.556535\pi\) | |||||||
\(68\) | 0.937254 | − | 2.32699i | 0.113659 | − | 0.282188i | ||||
\(69\) | − | 7.48097i | − | 0.900604i | ||||||
\(70\) | 1.66090 | − | 2.69099i | 0.198516 | − | 0.321634i | ||||
\(71\) | 11.4191 | 1.35520 | 0.677600 | − | 0.735431i | \(-0.263020\pi\) | ||||
0.677600 | + | 0.735431i | \(0.263020\pi\) | |||||||
\(72\) | 5.42863 | − | 8.38895i | 0.639771 | − | 0.988647i | ||||
\(73\) | − | 16.4847i | − | 1.92939i | −0.263376 | − | 0.964693i | \(-0.584836\pi\) | ||
0.263376 | − | 0.964693i | \(-0.415164\pi\) | |||||||
\(74\) | −0.560336 | + | 2.89098i | −0.0651377 | + | 0.336069i | ||||
\(75\) | −9.58201 | − | 8.45604i | −1.10644 | − | 0.976420i | ||||
\(76\) | 1.85939 | − | 4.61644i | 0.213287 | − | 0.529542i | ||||
\(77\) | 2.94061 | 0.335114 | ||||||||
\(78\) | −1.29454 | + | 6.67900i | −0.146578 | + | 0.756248i | ||||
\(79\) | −13.0056 | −1.46325 | −0.731623 | − | 0.681709i | \(-0.761237\pi\) | ||||
−0.731623 | + | 0.681709i | \(0.761237\pi\) | |||||||
\(80\) | 8.07906 | − | 3.83780i | 0.903267 | − | 0.429079i | ||||
\(81\) | −7.11778 | −0.790865 | ||||||||
\(82\) | 2.45144 | − | 12.6479i | 0.270716 | − | 1.39672i | ||||
\(83\) | 8.79990 | 0.965915 | 0.482957 | − | 0.875644i | \(-0.339563\pi\) | ||||
0.482957 | + | 0.875644i | \(0.339563\pi\) | |||||||
\(84\) | −1.90984 | + | 4.74169i | −0.208381 | + | 0.517361i | ||||
\(85\) | 2.62344 | + | 0.992053i | 0.284553 | + | 0.107603i | ||||
\(86\) | −3.10919 | + | 16.0414i | −0.335272 | + | 1.72979i | ||||
\(87\) | 2.06705i | 0.221611i | ||||||||
\(88\) | 6.98278 | + | 4.51867i | 0.744367 | + | 0.481692i | ||||
\(89\) | 6.64867 | 0.704757 | 0.352379 | − | 0.935857i | \(-0.385373\pi\) | ||||
0.352379 | + | 0.935857i | \(0.385373\pi\) | |||||||
\(90\) | 9.50668 | + | 5.86761i | 1.00209 | + | 0.618500i | ||||
\(91\) | − | 1.88215i | − | 0.197303i | ||||||
\(92\) | −2.18704 | + | 5.42992i | −0.228015 | + | 0.566108i | ||||
\(93\) | −26.8778 | −2.78710 | ||||||||
\(94\) | −14.2526 | − | 2.76248i | −1.47005 | − | 0.284928i | ||||
\(95\) | 5.20458 | + | 1.96811i | 0.533979 | + | 0.201924i | ||||
\(96\) | −11.8214 | + | 8.32488i | −1.20652 | + | 0.849654i | ||||
\(97\) | − | 7.33203i | − | 0.744455i | −0.928141 | − | 0.372228i | \(-0.878594\pi\) | ||
0.928141 | − | 0.372228i | \(-0.121406\pi\) | |||||||
\(98\) | 0.269098 | − | 1.38838i | 0.0271830 | − | 0.140247i | ||||
\(99\) | 10.3886i | 1.04409i | ||||||||
\(100\) | 4.48282 | + | 8.93892i | 0.448282 | + | 0.893892i | ||||
\(101\) | 8.63542i | 0.859256i | 0.903006 | + | 0.429628i | \(0.141355\pi\) | ||||
−0.903006 | + | 0.429628i | \(0.858645\pi\) | |||||||
\(102\) | −4.45108 | − | 0.862719i | −0.440723 | − | 0.0854220i | ||||
\(103\) | 3.41511i | 0.336501i | 0.985744 | + | 0.168250i | \(0.0538117\pi\) | ||||
−0.985744 | + | 0.168250i | \(0.946188\pi\) | |||||||
\(104\) | 2.89220 | − | 4.46936i | 0.283604 | − | 0.438257i | ||||
\(105\) | −5.34579 | − | 2.02150i | −0.521695 | − | 0.197279i | ||||
\(106\) | 2.46783 | − | 12.7324i | 0.239696 | − | 1.23668i | ||||
\(107\) | 7.95978 | 0.769501 | 0.384751 | − | 0.923021i | \(-0.374287\pi\) | ||||
0.384751 | + | 0.923021i | \(0.374287\pi\) | |||||||
\(108\) | −2.52630 | − | 1.01753i | −0.243094 | − | 0.0979123i | ||||
\(109\) | 3.96643i | 0.379915i | 0.981792 | + | 0.189957i | \(0.0608350\pi\) | ||||
−0.981792 | + | 0.189957i | \(0.939165\pi\) | |||||||
\(110\) | −4.88407 | + | 7.91315i | −0.465677 | + | 0.754489i | ||||
\(111\) | 5.32214 | 0.505156 | ||||||||
\(112\) | 2.77244 | − | 2.88333i | 0.261971 | − | 0.272449i | ||||
\(113\) | 2.59272i | 0.243903i | 0.992536 | + | 0.121951i | \(0.0389152\pi\) | ||||
−0.992536 | + | 0.121951i | \(0.961085\pi\) | |||||||
\(114\) | −8.83038 | − | 1.71153i | −0.827041 | − | 0.160299i | ||||
\(115\) | −6.12169 | − | 2.31491i | −0.570851 | − | 0.215867i | ||||
\(116\) | 0.604295 | − | 1.50032i | 0.0561074 | − | 0.139302i | ||||
\(117\) | 6.64925 | 0.614723 | ||||||||
\(118\) | −13.8935 | − | 2.69288i | −1.27900 | − | 0.247900i | ||||
\(119\) | 1.25432 | 0.114984 | ||||||||
\(120\) | −9.58778 | − | 13.0148i | −0.875240 | − | 1.18809i | ||||
\(121\) | 2.35280 | 0.213891 | ||||||||
\(122\) | 14.3835 | + | 2.78784i | 1.30222 | + | 0.252399i | ||||
\(123\) | −23.2841 | −2.09946 | ||||||||
\(124\) | 19.5087 | + | 7.85765i | 1.75193 | + | 0.705637i | ||||
\(125\) | −9.88465 | + | 5.22434i | −0.884110 | + | 0.467279i | ||||
\(126\) | 4.90483 | + | 0.950667i | 0.436957 | + | 0.0846921i | ||||
\(127\) | 12.7362i | 1.13015i | 0.825039 | + | 0.565076i | \(0.191153\pi\) | ||||
−0.825039 | + | 0.565076i | \(0.808847\pi\) | |||||||
\(128\) | 11.0141 | − | 2.58650i | 0.973517 | − | 0.228616i | ||||
\(129\) | 29.5315 | 2.60010 | ||||||||
\(130\) | 5.06485 | + | 3.12607i | 0.444217 | + | 0.274175i | ||||
\(131\) | 4.34203i | 0.379365i | 0.981846 | + | 0.189682i | \(0.0607458\pi\) | ||||
−0.981846 | + | 0.189682i | \(0.939254\pi\) | |||||||
\(132\) | 5.61610 | − | 13.9435i | 0.488819 | − | 1.21362i | ||||
\(133\) | 2.48842 | 0.215773 | ||||||||
\(134\) | 0.778326 | − | 4.01567i | 0.0672372 | − | 0.346901i | ||||
\(135\) | 1.07703 | − | 2.84816i | 0.0926958 | − | 0.245130i | ||||
\(136\) | 2.97852 | + | 1.92745i | 0.255406 | + | 0.165277i | ||||
\(137\) | 9.86435i | 0.842769i | 0.906882 | + | 0.421384i | \(0.138456\pi\) | ||||
−0.906882 | + | 0.421384i | \(0.861544\pi\) | |||||||
\(138\) | 10.3864 | + | 2.01312i | 0.884149 | + | 0.171368i | ||||
\(139\) | − | 18.0780i | − | 1.53335i | −0.642033 | − | 0.766677i | \(-0.721909\pi\) | ||
0.642033 | − | 0.766677i | \(-0.278091\pi\) | |||||||
\(140\) | 3.28915 | + | 3.03009i | 0.277984 | + | 0.256090i | ||||
\(141\) | 26.2384i | 2.20967i | ||||||||
\(142\) | −3.07286 | + | 15.8540i | −0.257869 | + | 1.33044i | ||||
\(143\) | 5.53469i | 0.462834i | ||||||||
\(144\) | 10.1862 | + | 9.79443i | 0.848848 | + | 0.816203i | ||||
\(145\) | 1.69147 | + | 0.639627i | 0.140469 | + | 0.0531181i | ||||
\(146\) | 22.8869 | + | 4.43600i | 1.89414 | + | 0.367126i | ||||
\(147\) | −2.55593 | −0.210810 | ||||||||
\(148\) | −3.86297 | − | 1.55591i | −0.317534 | − | 0.127895i | ||||
\(149\) | − | 12.3350i | − | 1.01052i | −0.862968 | − | 0.505259i | \(-0.831397\pi\) | ||
0.862968 | − | 0.505259i | \(-0.168603\pi\) | |||||||
\(150\) | 14.3187 | − | 11.0279i | 1.16911 | − | 0.900426i | ||||
\(151\) | 9.15338 | 0.744891 | 0.372446 | − | 0.928054i | \(-0.378519\pi\) | ||||
0.372446 | + | 0.928054i | \(0.378519\pi\) | |||||||
\(152\) | 5.90900 | + | 3.82381i | 0.479283 | + | 0.310152i | ||||
\(153\) | 4.43125i | 0.358246i | ||||||||
\(154\) | −0.791314 | + | 4.08267i | −0.0637659 | + | 0.328991i | ||||
\(155\) | −8.31706 | + | 21.9941i | −0.668043 | + | 1.76661i | ||||
\(156\) | −8.92460 | − | 3.59462i | −0.714540 | − | 0.287800i | ||||
\(157\) | 8.31173 | 0.663349 | 0.331674 | − | 0.943394i | \(-0.392387\pi\) | ||||
0.331674 | + | 0.943394i | \(0.392387\pi\) | |||||||
\(158\) | 3.49979 | − | 18.0567i | 0.278428 | − | 1.43651i | ||||
\(159\) | −23.4397 | −1.85889 | ||||||||
\(160\) | 3.15425 | + | 12.2495i | 0.249365 | + | 0.968410i | ||||
\(161\) | −2.92691 | −0.230673 | ||||||||
\(162\) | 1.91538 | − | 9.88216i | 0.150487 | − | 0.776416i | ||||
\(163\) | 13.4112 | 1.05045 | 0.525224 | − | 0.850964i | \(-0.323981\pi\) | ||||
0.525224 | + | 0.850964i | \(0.323981\pi\) | |||||||
\(164\) | 16.9003 | + | 6.80704i | 1.31969 | + | 0.531541i | ||||
\(165\) | 15.7199 | + | 5.94446i | 1.22379 | + | 0.462776i | ||||
\(166\) | −2.36804 | + | 12.2176i | −0.183795 | + | 0.948267i | ||||
\(167\) | − | 1.57097i | − | 0.121565i | −0.998151 | − | 0.0607825i | \(-0.980640\pi\) | ||
0.998151 | − | 0.0607825i | \(-0.0193596\pi\) | |||||||
\(168\) | −6.06931 | − | 3.92756i | −0.468258 | − | 0.303018i | ||||
\(169\) | −9.45749 | −0.727499 | ||||||||
\(170\) | −2.08331 | + | 3.37537i | −0.159782 | + | 0.258879i | ||||
\(171\) | 8.79105i | 0.672268i | ||||||||
\(172\) | −21.4348 | − | 8.63344i | −1.63439 | − | 0.658294i | ||||
\(173\) | −9.47888 | −0.720666 | −0.360333 | − | 0.932824i | \(-0.617337\pi\) | ||||
−0.360333 | + | 0.932824i | \(0.617337\pi\) | |||||||
\(174\) | −2.86984 | − | 0.556239i | −0.217562 | − | 0.0421683i | ||||
\(175\) | −3.30840 | + | 3.74893i | −0.250091 | + | 0.283393i | ||||
\(176\) | −8.15267 | + | 8.47875i | −0.614531 | + | 0.639110i | ||||
\(177\) | 25.5773i | 1.92251i | ||||||||
\(178\) | −1.78915 | + | 9.23085i | −0.134102 | + | 0.691881i | ||||
\(179\) | 9.38764i | 0.701665i | 0.936438 | + | 0.350832i | \(0.114101\pi\) | ||||
−0.936438 | + | 0.350832i | \(0.885899\pi\) | |||||||
\(180\) | −10.7047 | + | 11.6199i | −0.797879 | + | 0.866094i | ||||
\(181\) | − | 7.48170i | − | 0.556110i | −0.960565 | − | 0.278055i | \(-0.910310\pi\) | ||
0.960565 | − | 0.278055i | \(-0.0896898\pi\) | |||||||
\(182\) | 2.61314 | + | 0.506485i | 0.193699 | + | 0.0375431i | ||||
\(183\) | − | 26.4793i | − | 1.95740i | ||||||
\(184\) | −6.95023 | − | 4.49761i | −0.512378 | − | 0.331569i | ||||
\(185\) | 1.64688 | − | 4.35512i | 0.121081 | − | 0.320195i | ||||
\(186\) | 7.23277 | − | 37.3165i | 0.530333 | − | 2.73618i | ||||
\(187\) | −3.68848 | −0.269728 | ||||||||
\(188\) | 7.67071 | − | 19.0446i | 0.559444 | − | 1.38897i | ||||
\(189\) | − | 1.36176i | − | 0.0990536i | ||||||
\(190\) | −4.13302 | + | 6.69630i | −0.299840 | + | 0.485801i | ||||
\(191\) | −8.88648 | −0.643003 | −0.321501 | − | 0.946909i | \(-0.604187\pi\) | ||||
−0.321501 | + | 0.946909i | \(0.604187\pi\) | |||||||
\(192\) | −8.37694 | − | 18.6528i | −0.604553 | − | 1.34615i | ||||
\(193\) | 9.02977i | 0.649977i | 0.945718 | + | 0.324989i | \(0.105360\pi\) | ||||
−0.945718 | + | 0.324989i | \(0.894640\pi\) | |||||||
\(194\) | 10.1796 | + | 1.97304i | 0.730854 | + | 0.141656i | ||||
\(195\) | 3.80478 | − | 10.0616i | 0.272466 | − | 0.720526i | ||||
\(196\) | 1.85517 | + | 0.747219i | 0.132512 | + | 0.0533728i | ||||
\(197\) | 9.67307 | 0.689178 | 0.344589 | − | 0.938754i | \(-0.388018\pi\) | ||||
0.344589 | + | 0.938754i | \(0.388018\pi\) | |||||||
\(198\) | −14.4232 | − | 2.79554i | −1.02501 | − | 0.198671i | ||||
\(199\) | −4.59836 | −0.325969 | −0.162984 | − | 0.986629i | \(-0.552112\pi\) | ||||
−0.162984 | + | 0.986629i | \(0.552112\pi\) | |||||||
\(200\) | −13.6169 | + | 3.81838i | −0.962860 | + | 0.270000i | ||||
\(201\) | −7.39265 | −0.521437 | ||||||||
\(202\) | −11.9892 | − | 2.32378i | −0.843557 | − | 0.163500i | ||||
\(203\) | 0.808725 | 0.0567614 | ||||||||
\(204\) | 2.39556 | − | 5.94761i | 0.167723 | − | 0.416416i | ||||
\(205\) | −7.20503 | + | 19.0534i | −0.503221 | + | 1.33075i | ||||
\(206\) | −4.74145 | − | 0.919000i | −0.330353 | − | 0.0640298i | ||||
\(207\) | − | 10.3401i | − | 0.718689i | ||||||
\(208\) | 5.42687 | + | 5.21816i | 0.376286 | + | 0.361814i | ||||
\(209\) | −7.31747 | −0.506160 | ||||||||
\(210\) | 4.24515 | − | 6.87798i | 0.292943 | − | 0.474625i | ||||
\(211\) | − | 27.2554i | − | 1.87634i | −0.346176 | − | 0.938170i | \(-0.612520\pi\) | ||
0.346176 | − | 0.938170i | \(-0.387480\pi\) | |||||||
\(212\) | 17.0133 | + | 6.85254i | 1.16848 | + | 0.470634i | ||||
\(213\) | 29.1865 | 1.99982 | ||||||||
\(214\) | −2.14196 | + | 11.0512i | −0.146422 | + | 0.755442i | ||||
\(215\) | 9.13822 | − | 24.1657i | 0.623221 | − | 1.64808i | ||||
\(216\) | 2.09254 | − | 3.23364i | 0.142380 | − | 0.220021i | ||||
\(217\) | 10.5159i | 0.713863i | ||||||||
\(218\) | −5.50689 | − | 1.06736i | −0.372974 | − | 0.0722906i | ||||
\(219\) | − | 42.1337i | − | 2.84713i | ||||||
\(220\) | −9.67213 | − | 8.91033i | −0.652095 | − | 0.600734i | ||||
\(221\) | 2.36083i | 0.158807i | ||||||||
\(222\) | −1.43218 | + | 7.38913i | −0.0961216 | + | 0.495926i | ||||
\(223\) | − | 10.6823i | − | 0.715338i | −0.933848 | − | 0.357669i | \(-0.883572\pi\) | ||
0.933848 | − | 0.357669i | \(-0.116428\pi\) | |||||||
\(224\) | 3.25708 | + | 4.62509i | 0.217623 | + | 0.309027i | ||||
\(225\) | −13.2442 | − | 11.6879i | −0.882945 | − | 0.779191i | ||||
\(226\) | −3.59967 | − | 0.697697i | −0.239447 | − | 0.0464101i | ||||
\(227\) | −15.4722 | −1.02692 | −0.513461 | − | 0.858113i | \(-0.671637\pi\) | ||||
−0.513461 | + | 0.858113i | \(0.671637\pi\) | |||||||
\(228\) | 4.75248 | − | 11.7993i | 0.314741 | − | 0.781429i | ||||
\(229\) | 6.60688i | 0.436595i | 0.975882 | + | 0.218298i | \(0.0700503\pi\) | ||||
−0.975882 | + | 0.218298i | \(0.929950\pi\) | |||||||
\(230\) | 4.86130 | − | 7.87627i | 0.320545 | − | 0.519346i | ||||
\(231\) | 7.51600 | 0.494517 | ||||||||
\(232\) | 1.92040 | + | 1.24272i | 0.126080 | + | 0.0815888i | ||||
\(233\) | − | 11.7981i | − | 0.772920i | −0.922306 | − | 0.386460i | \(-0.873698\pi\) | ||
0.922306 | − | 0.386460i | \(-0.126302\pi\) | |||||||
\(234\) | −1.78930 | + | 9.23165i | −0.116970 | + | 0.603492i | ||||
\(235\) | 21.4709 | + | 8.11920i | 1.40061 | + | 0.529638i | ||||
\(236\) | 7.47745 | − | 18.5648i | 0.486741 | − | 1.20847i | ||||
\(237\) | −33.2415 | −2.15927 | ||||||||
\(238\) | −0.337536 | + | 1.74147i | −0.0218792 | + | 0.112883i | ||||
\(239\) | −10.1827 | −0.658662 | −0.329331 | − | 0.944214i | \(-0.606823\pi\) | ||||
−0.329331 | + | 0.944214i | \(0.606823\pi\) | |||||||
\(240\) | 20.6495 | − | 9.80916i | 1.33292 | − | 0.633179i | ||||
\(241\) | −2.99359 | −0.192834 | −0.0964169 | − | 0.995341i | \(-0.530738\pi\) | ||||
−0.0964169 | + | 0.995341i | \(0.530738\pi\) | |||||||
\(242\) | −0.633134 | + | 3.26657i | −0.0406994 | + | 0.209983i | ||||
\(243\) | −22.2779 | −1.42913 | ||||||||
\(244\) | −7.74113 | + | 19.2194i | −0.495575 | + | 1.23040i | ||||
\(245\) | −0.790907 | + | 2.09152i | −0.0505292 | + | 0.133622i | ||||
\(246\) | 6.26572 | − | 32.3271i | 0.399488 | − | 2.06110i | ||||
\(247\) | 4.68359i | 0.298010i | ||||||||
\(248\) | −16.1591 | + | 24.9709i | −1.02611 | + | 1.58566i | ||||
\(249\) | 22.4919 | 1.42537 | ||||||||
\(250\) | −4.59340 | − | 15.1295i | −0.290512 | − | 0.956871i | ||||
\(251\) | − | 6.60133i | − | 0.416672i | −0.978057 | − | 0.208336i | \(-0.933195\pi\) | ||
0.978057 | − | 0.208336i | \(-0.0668048\pi\) | |||||||
\(252\) | −2.63976 | + | 6.55392i | −0.166289 | + | 0.412858i | ||||
\(253\) | 8.60690 | 0.541111 | ||||||||
\(254\) | −17.6826 | − | 3.42728i | −1.10950 | − | 0.215047i | ||||
\(255\) | 6.70535 | + | 2.53562i | 0.419905 | + | 0.158787i | ||||
\(256\) | 0.627158 | + | 15.9877i | 0.0391973 | + | 0.999231i | ||||
\(257\) | − | 16.2700i | − | 1.01489i | −0.861683 | − | 0.507447i | \(-0.830589\pi\) | ||
0.861683 | − | 0.507447i | \(-0.169411\pi\) | |||||||
\(258\) | −7.94687 | + | 41.0008i | −0.494751 | + | 2.55260i | ||||
\(259\) | − | 2.08227i | − | 0.129386i | ||||||
\(260\) | −5.70311 | + | 6.19070i | −0.353692 | + | 0.383931i | ||||
\(261\) | 2.85705i | 0.176847i | ||||||||
\(262\) | −6.02836 | − | 1.16843i | −0.372433 | − | 0.0721860i | ||||
\(263\) | 12.2577i | 0.755844i | 0.925837 | + | 0.377922i | \(0.123361\pi\) | ||||
−0.925837 | + | 0.377922i | \(0.876639\pi\) | |||||||
\(264\) | 17.8475 | + | 11.5494i | 1.09844 | + | 0.710818i | ||||
\(265\) | −7.25319 | + | 19.1808i | −0.445560 | + | 1.17827i | ||||
\(266\) | −0.669629 | + | 3.45486i | −0.0410576 | + | 0.211831i | ||||
\(267\) | 16.9935 | 1.03999 | ||||||||
\(268\) | 5.36581 | + | 2.16122i | 0.327769 | + | 0.132017i | ||||
\(269\) | − | 6.84495i | − | 0.417344i | −0.977986 | − | 0.208672i | \(-0.933086\pi\) | ||
0.977986 | − | 0.208672i | \(-0.0669141\pi\) | |||||||
\(270\) | 3.66448 | + | 2.26175i | 0.223013 | + | 0.137646i | ||||
\(271\) | 12.8200 | 0.778761 | 0.389380 | − | 0.921077i | \(-0.372689\pi\) | ||||
0.389380 | + | 0.921077i | \(0.372689\pi\) | |||||||
\(272\) | −3.47754 | + | 3.61662i | −0.210857 | + | 0.219290i | ||||
\(273\) | − | 4.81066i | − | 0.291154i | ||||||
\(274\) | −13.6954 | − | 2.65448i | −0.827371 | − | 0.160363i | ||||
\(275\) | 9.72872 | − | 11.0242i | 0.586664 | − | 0.664782i | ||||
\(276\) | −5.58993 | + | 13.8785i | −0.336474 | + | 0.835387i | ||||
\(277\) | 25.3722 | 1.52447 | 0.762234 | − | 0.647302i | \(-0.224103\pi\) | ||||
0.762234 | + | 0.647302i | \(0.224103\pi\) | |||||||
\(278\) | 25.0990 | + | 4.86476i | 1.50534 | + | 0.291769i | ||||
\(279\) | −37.1503 | −2.22413 | ||||||||
\(280\) | −5.09201 | + | 3.75119i | −0.304306 | + | 0.224176i | ||||
\(281\) | 20.2795 | 1.20978 | 0.604888 | − | 0.796311i | \(-0.293218\pi\) | ||||
0.604888 | + | 0.796311i | \(0.293218\pi\) | |||||||
\(282\) | −36.4287 | − | 7.06071i | −2.16930 | − | 0.420459i | ||||
\(283\) | 0.643568 | 0.0382561 | 0.0191281 | − | 0.999817i | \(-0.493911\pi\) | ||||
0.0191281 | + | 0.999817i | \(0.493911\pi\) | |||||||
\(284\) | −21.1844 | − | 8.53258i | −1.25706 | − | 0.506315i | ||||
\(285\) | 13.3026 | + | 5.03035i | 0.787975 | + | 0.297972i | ||||
\(286\) | −7.68422 | − | 1.48938i | −0.454378 | − | 0.0880686i | ||||
\(287\) | 9.10984i | 0.537737i | ||||||||
\(288\) | −16.3394 | + | 11.5066i | −0.962810 | + | 0.678031i | ||||
\(289\) | 15.4267 | 0.907451 | ||||||||
\(290\) | −1.34321 | + | 2.17627i | −0.0788762 | + | 0.127795i | ||||
\(291\) | − | 18.7402i | − | 1.09857i | ||||||
\(292\) | −12.3177 | + | 30.5819i | −0.720837 | + | 1.78967i | ||||
\(293\) | 24.5015 | 1.43139 | 0.715696 | − | 0.698412i | \(-0.246110\pi\) | ||||
0.715696 | + | 0.698412i | \(0.246110\pi\) | |||||||
\(294\) | 0.687797 | − | 3.54859i | 0.0401131 | − | 0.206958i | ||||
\(295\) | 20.9300 | + | 7.91464i | 1.21859 | + | 0.460808i | ||||
\(296\) | 3.19971 | − | 4.94456i | 0.185979 | − | 0.287397i | ||||
\(297\) | 4.00442i | 0.232360i | ||||||||
\(298\) | 17.1255 | + | 3.31931i | 0.992056 | + | 0.192283i | ||||
\(299\) | − | 5.50889i | − | 0.318588i | ||||||
\(300\) | 11.4578 | + | 22.8473i | 0.661515 | + | 1.31909i | ||||
\(301\) | − | 11.5541i | − | 0.665967i | ||||||
\(302\) | −2.46316 | + | 12.7083i | −0.141739 | + | 0.731282i | ||||
\(303\) | 22.0715i | 1.26798i | ||||||||
\(304\) | −6.89899 | + | 7.17492i | −0.395684 | + | 0.411510i | ||||
\(305\) | −21.6680 | − | 8.19374i | −1.24071 | − | 0.469172i | ||||
\(306\) | −6.15224 | − | 1.19244i | −0.351700 | − | 0.0681674i | ||||
\(307\) | −9.53860 | −0.544396 | −0.272198 | − | 0.962241i | \(-0.587751\pi\) | ||||
−0.272198 | + | 0.962241i | \(0.587751\pi\) | |||||||
\(308\) | −5.45534 | − | 2.19728i | −0.310847 | − | 0.125202i | ||||
\(309\) | 8.72878i | 0.496563i | ||||||||
\(310\) | −28.2980 | − | 17.4658i | −1.60722 | − | 0.991990i | ||||
\(311\) | 0.978866 | 0.0555064 | 0.0277532 | − | 0.999615i | \(-0.491165\pi\) | ||||
0.0277532 | + | 0.999615i | \(0.491165\pi\) | |||||||
\(312\) | 7.39227 | − | 11.4234i | 0.418505 | − | 0.646722i | ||||
\(313\) | − | 26.7540i | − | 1.51223i | −0.654441 | − | 0.756113i | \(-0.727096\pi\) | ||
0.654441 | − | 0.756113i | \(-0.272904\pi\) | |||||||
\(314\) | −2.23667 | + | 11.5398i | −0.126223 | + | 0.651229i | ||||
\(315\) | −7.38890 | − | 2.79410i | −0.416317 | − | 0.157430i | ||||
\(316\) | 24.1277 | + | 9.71804i | 1.35729 | + | 0.546683i | ||||
\(317\) | −21.1277 | −1.18665 | −0.593326 | − | 0.804962i | \(-0.702186\pi\) | ||||
−0.593326 | + | 0.804962i | \(0.702186\pi\) | |||||||
\(318\) | 6.30759 | − | 32.5431i | 0.353712 | − | 1.82493i | ||||
\(319\) | −2.37815 | −0.133151 | ||||||||
\(320\) | −17.8557 | + | 1.08296i | −0.998166 | + | 0.0605391i | ||||
\(321\) | 20.3447 | 1.13553 | ||||||||
\(322\) | 0.787626 | − | 4.06365i | 0.0438927 | − | 0.226458i | ||||
\(323\) | −3.12128 | −0.173673 | ||||||||
\(324\) | 13.2047 | + | 5.31854i | 0.733595 | + | 0.295475i | ||||
\(325\) | −7.05607 | − | 6.22692i | −0.391400 | − | 0.345407i | ||||
\(326\) | −3.60894 | + | 18.6198i | −0.199881 | + | 1.03126i | ||||
\(327\) | 10.1379i | 0.560628i | ||||||||
\(328\) | −13.9986 | + | 21.6322i | −0.772942 | + | 1.19444i | ||||
\(329\) | 10.2657 | 0.565966 | ||||||||
\(330\) | −12.4833 | + | 20.2255i | −0.687185 | + | 1.11338i | ||||
\(331\) | 1.68575i | 0.0926572i | 0.998926 | + | 0.0463286i | \(0.0147521\pi\) | ||||
−0.998926 | + | 0.0463286i | \(0.985248\pi\) | |||||||
\(332\) | −16.3253 | − | 6.57545i | −0.895969 | − | 0.360875i | ||||
\(333\) | 7.35622 | 0.403118 | ||||||||
\(334\) | 2.18109 | + | 0.422744i | 0.119344 | + | 0.0231315i | ||||
\(335\) | −2.28758 | + | 6.04941i | −0.124984 | + | 0.330515i | ||||
\(336\) | 7.08617 | − | 7.36959i | 0.386582 | − | 0.402044i | ||||
\(337\) | − | 24.1464i | − | 1.31534i | −0.753306 | − | 0.657670i | \(-0.771542\pi\) | ||
0.753306 | − | 0.657670i | \(-0.228458\pi\) | |||||||
\(338\) | 2.54500 | − | 13.1306i | 0.138430 | − | 0.714208i | ||||
\(339\) | 6.62682i | 0.359920i | ||||||||
\(340\) | −4.12566 | − | 3.80072i | −0.223745 | − | 0.206123i | ||||
\(341\) | − | 30.9231i | − | 1.67458i | ||||||
\(342\) | −12.2053 | − | 2.36566i | −0.659985 | − | 0.127920i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 17.7545 | − | 27.4364i | 0.957260 | − | 1.47927i | ||||
\(345\) | −15.6466 | − | 5.91676i | −0.842386 | − | 0.318547i | ||||
\(346\) | 2.55075 | − | 13.1602i | 0.137129 | − | 0.707499i | ||||
\(347\) | 11.1598 | 0.599089 | 0.299544 | − | 0.954082i | \(-0.403165\pi\) | ||||
0.299544 | + | 0.954082i | \(0.403165\pi\) | |||||||
\(348\) | 1.54454 | − | 3.83473i | 0.0827958 | − | 0.205563i | ||||
\(349\) | 28.1101i | 1.50470i | 0.658765 | + | 0.752348i | \(0.271079\pi\) | ||||
−0.658765 | + | 0.752348i | \(0.728921\pi\) | |||||||
\(350\) | −4.31464 | − | 5.60213i | −0.230627 | − | 0.299447i | ||||
\(351\) | 2.56305 | 0.136805 | ||||||||
\(352\) | −9.57782 | − | 13.6006i | −0.510499 | − | 0.724914i | ||||
\(353\) | 5.06143i | 0.269393i | 0.990887 | + | 0.134696i | \(0.0430059\pi\) | ||||
−0.990887 | + | 0.134696i | \(0.956994\pi\) | |||||||
\(354\) | −35.5109 | − | 6.88281i | −1.88738 | − | 0.365817i | ||||
\(355\) | 9.03146 | − | 23.8833i | 0.479340 | − | 1.26760i | ||||
\(356\) | −12.3344 | − | 4.96801i | −0.653723 | − | 0.263304i | ||||
\(357\) | 3.20596 | 0.169678 | ||||||||
\(358\) | −13.0336 | − | 2.52620i | −0.688845 | − | 0.133514i | ||||
\(359\) | 12.8005 | 0.675583 | 0.337792 | − | 0.941221i | \(-0.390320\pi\) | ||||
0.337792 | + | 0.941221i | \(0.390320\pi\) | |||||||
\(360\) | −13.2521 | − | 17.9890i | −0.698449 | − | 0.948103i | ||||
\(361\) | 12.8078 | 0.674094 | ||||||||
\(362\) | 10.3874 | + | 2.01331i | 0.545950 | + | 0.105817i | ||||
\(363\) | 6.01359 | 0.315632 | ||||||||
\(364\) | −1.40638 | + | 3.49172i | −0.0737144 | + | 0.183016i | ||||
\(365\) | −34.4781 | − | 13.0379i | −1.80467 | − | 0.682432i | ||||
\(366\) | 36.7632 | + | 7.12553i | 1.92164 | + | 0.372457i | ||||
\(367\) | − | 18.0163i | − | 0.940444i | −0.882548 | − | 0.470222i | \(-0.844174\pi\) | ||
0.882548 | − | 0.470222i | \(-0.155826\pi\) | |||||||
\(368\) | 8.11467 | − | 8.43923i | 0.423007 | − | 0.439925i | ||||
\(369\) | −32.1831 | −1.67539 | ||||||||
\(370\) | 5.60337 | + | 3.45845i | 0.291305 | + | 0.179796i | ||||
\(371\) | 9.17072i | 0.476120i | ||||||||
\(372\) | 49.8630 | + | 20.0836i | 2.58527 | + | 1.04129i | ||||
\(373\) | −0.704850 | −0.0364957 | −0.0182479 | − | 0.999833i | \(-0.505809\pi\) | ||||
−0.0182479 | + | 0.999833i | \(0.505809\pi\) | |||||||
\(374\) | 0.992563 | − | 5.12099i | 0.0513242 | − | 0.264800i | ||||
\(375\) | −25.2645 | + | 13.3531i | −1.30465 | + | 0.689549i | ||||
\(376\) | 24.3769 | + | 15.7747i | 1.25714 | + | 0.813518i | ||||
\(377\) | 1.52215i | 0.0783945i | ||||||||
\(378\) | 1.89064 | + | 0.366448i | 0.0972439 | + | 0.0188480i | ||||
\(379\) | 23.4356i | 1.20381i | 0.798569 | + | 0.601903i | \(0.205591\pi\) | ||||
−0.798569 | + | 0.601903i | \(0.794409\pi\) | |||||||
\(380\) | −8.18479 | − | 7.54014i | −0.419871 | − | 0.386801i | ||||
\(381\) | 32.5527i | 1.66773i | ||||||||
\(382\) | 2.39134 | − | 12.3378i | 0.122351 | − | 0.631255i | ||||
\(383\) | − | 0.732839i | − | 0.0374463i | −0.999825 | − | 0.0187232i | \(-0.994040\pi\) | ||
0.999825 | − | 0.0187232i | \(-0.00596012\pi\) | |||||||
\(384\) | 28.1512 | − | 6.61091i | 1.43659 | − | 0.337362i | ||||
\(385\) | 2.32575 | − | 6.15036i | 0.118531 | − | 0.313451i | ||||
\(386\) | −12.5367 | − | 2.42990i | −0.638102 | − | 0.123678i | ||||
\(387\) | 40.8181 | 2.07490 | ||||||||
\(388\) | −5.47863 | + | 13.6022i | −0.278136 | + | 0.690546i | ||||
\(389\) | − | 17.3775i | − | 0.881075i | −0.897734 | − | 0.440537i | \(-0.854788\pi\) | ||
0.897734 | − | 0.440537i | \(-0.145212\pi\) | |||||||
\(390\) | 12.9454 | + | 7.99003i | 0.655517 | + | 0.404591i | ||||
\(391\) | 3.67129 | 0.185665 | ||||||||
\(392\) | −1.53664 | + | 2.37460i | −0.0776122 | + | 0.119935i | ||||
\(393\) | 11.0979i | 0.559816i | ||||||||
\(394\) | −2.60301 | + | 13.4299i | −0.131138 | + | 0.676586i | ||||
\(395\) | −10.2862 | + | 27.2015i | −0.517557 | + | 1.36866i | ||||
\(396\) | 7.76252 | − | 19.2726i | 0.390081 | − | 0.968482i | ||||
\(397\) | 14.0231 | 0.703799 | 0.351899 | − | 0.936038i | \(-0.385536\pi\) | ||||
0.351899 | + | 0.936038i | \(0.385536\pi\) | |||||||
\(398\) | 1.23741 | − | 6.38424i | 0.0620258 | − | 0.320013i | ||||
\(399\) | 6.36023 | 0.318410 | ||||||||
\(400\) | −1.63706 | − | 19.9329i | −0.0818531 | − | 0.996644i | ||||
\(401\) | −26.1322 | −1.30498 | −0.652491 | − | 0.757797i | \(-0.726276\pi\) | ||||
−0.652491 | + | 0.757797i | \(0.726276\pi\) | |||||||
\(402\) | 1.98935 | − | 10.2638i | 0.0992197 | − | 0.511910i | ||||
\(403\) | −19.7925 | −0.985933 | ||||||||
\(404\) | 6.45255 | − | 16.0202i | 0.321026 | − | 0.797034i | ||||
\(405\) | −5.62951 | + | 14.8870i | −0.279732 | + | 0.739741i | ||||
\(406\) | −0.217627 | + | 1.12281i | −0.0108006 | + | 0.0557243i | ||||
\(407\) | 6.12315i | 0.303514i | ||||||||
\(408\) | 7.61288 | + | 4.92643i | 0.376894 | + | 0.243894i | ||||
\(409\) | −18.6724 | −0.923289 | −0.461645 | − | 0.887065i | \(-0.652740\pi\) | ||||
−0.461645 | + | 0.887065i | \(0.652740\pi\) | |||||||
\(410\) | −24.5144 | − | 15.1305i | −1.21068 | − | 0.747244i | ||||
\(411\) | 25.2126i | 1.24365i | ||||||||
\(412\) | 2.55183 | − | 6.33562i | 0.125720 | − | 0.312133i | ||||
\(413\) | 10.0070 | 0.492414 | ||||||||
\(414\) | 14.3560 | + | 2.78251i | 0.705558 | + | 0.136753i | ||||
\(415\) | 6.95991 | − | 18.4052i | 0.341648 | − | 0.903475i | ||||
\(416\) | −8.70513 | + | 6.13033i | −0.426804 | + | 0.300564i | ||||
\(417\) | − | 46.2061i | − | 2.26272i | ||||||
\(418\) | 1.96912 | − | 10.1594i | 0.0963128 | − | 0.496912i | ||||
\(419\) | 28.6856i | 1.40138i | 0.713465 | + | 0.700691i | \(0.247125\pi\) | ||||
−0.713465 | + | 0.700691i | \(0.752875\pi\) | |||||||
\(420\) | 8.40685 | + | 7.74471i | 0.410212 | + | 0.377903i | ||||
\(421\) | 24.1272i | 1.17589i | 0.808902 | + | 0.587943i | \(0.200062\pi\) | ||||
−0.808902 | + | 0.587943i | \(0.799938\pi\) | |||||||
\(422\) | 37.8407 | + | 7.33438i | 1.84206 | + | 0.357032i | ||||
\(423\) | 36.2665i | 1.76334i | ||||||||
\(424\) | −14.0921 | + | 21.7768i | −0.684375 | + | 1.05757i | ||||
\(425\) | 4.14980 | − | 4.70237i | 0.201295 | − | 0.228099i | ||||
\(426\) | −7.85403 | + | 40.5218i | −0.380529 | + | 1.96329i | ||||
\(427\) | −10.3599 | −0.501352 | ||||||||
\(428\) | −14.7668 | − | 5.94770i | −0.713779 | − | 0.287493i | ||||
\(429\) | 14.1463i | 0.682989i | ||||||||
\(430\) | 31.0919 | + | 19.1902i | 1.49939 | + | 0.925434i | ||||
\(431\) | −2.64788 | −0.127544 | −0.0637721 | − | 0.997964i | \(-0.520313\pi\) | ||||
−0.0637721 | + | 0.997964i | \(0.520313\pi\) | |||||||
\(432\) | 3.92641 | + | 3.77540i | 0.188909 | + | 0.181644i | ||||
\(433\) | 9.61670i | 0.462149i | 0.972936 | + | 0.231075i | \(0.0742241\pi\) | ||||
−0.972936 | + | 0.231075i | \(0.925776\pi\) | |||||||
\(434\) | −14.6000 | − | 2.82980i | −0.700820 | − | 0.135835i | ||||
\(435\) | 4.32327 | + | 1.63484i | 0.207285 | + | 0.0783847i | ||||
\(436\) | 2.96379 | − | 7.35840i | 0.141940 | − | 0.352404i | ||||
\(437\) | 7.28337 | 0.348411 | ||||||||
\(438\) | 58.4974 | + | 11.3381i | 2.79511 | + | 0.541756i | ||||
\(439\) | −12.6264 | −0.602624 | −0.301312 | − | 0.953526i | \(-0.597425\pi\) | ||||
−0.301312 | + | 0.953526i | \(0.597425\pi\) | |||||||
\(440\) | 14.9736 | − | 11.0308i | 0.713840 | − | 0.525872i | ||||
\(441\) | −3.53279 | −0.168228 | ||||||||
\(442\) | −3.27772 | − | 0.635295i | −0.155905 | − | 0.0302179i | ||||
\(443\) | 12.0850 | 0.574178 | 0.287089 | − | 0.957904i | \(-0.407313\pi\) | ||||
0.287089 | + | 0.957904i | \(0.407313\pi\) | |||||||
\(444\) | −9.87349 | − | 3.97681i | −0.468575 | − | 0.188731i | ||||
\(445\) | 5.25848 | − | 13.9058i | 0.249276 | − | 0.659200i | ||||
\(446\) | 14.8310 | + | 2.87458i | 0.702268 | + | 0.136115i | ||||
\(447\) | − | 31.5273i | − | 1.49119i | ||||||
\(448\) | −7.29783 | + | 3.27745i | −0.344790 | + | 0.154845i | ||||
\(449\) | 25.6294 | 1.20953 | 0.604763 | − | 0.796406i | \(-0.293268\pi\) | ||||
0.604763 | + | 0.796406i | \(0.293268\pi\) | |||||||
\(450\) | 19.7911 | − | 15.2427i | 0.932963 | − | 0.718548i | ||||
\(451\) | − | 26.7885i | − | 1.26142i | ||||||
\(452\) | 1.93733 | − | 4.80995i | 0.0911244 | − | 0.226241i | ||||
\(453\) | 23.3954 | 1.09921 | ||||||||
\(454\) | 4.16353 | − | 21.4812i | 0.195404 | − | 1.00816i | ||||
\(455\) | −3.93657 | − | 1.48861i | −0.184549 | − | 0.0697871i | ||||
\(456\) | 15.1030 | + | 9.77340i | 0.707262 | + | 0.457681i | ||||
\(457\) | 1.44766i | 0.0677186i | 0.999427 | + | 0.0338593i | \(0.0107798\pi\) | ||||
−0.999427 | + | 0.0338593i | \(0.989220\pi\) | |||||||
\(458\) | −9.17284 | − | 1.77790i | −0.428618 | − | 0.0830759i | ||||
\(459\) | 1.70809i | 0.0797268i | ||||||||
\(460\) | 9.62705 | + | 8.86880i | 0.448863 | + | 0.413510i | ||||
\(461\) | − | 40.8669i | − | 1.90336i | −0.307090 | − | 0.951681i | \(-0.599355\pi\) | ||
0.307090 | − | 0.951681i | \(-0.400645\pi\) | |||||||
\(462\) | −2.02254 | + | 10.4350i | −0.0940973 | + | 0.485482i | ||||
\(463\) | 1.57368i | 0.0731352i | 0.999331 | + | 0.0365676i | \(0.0116424\pi\) | ||||
−0.999331 | + | 0.0365676i | \(0.988358\pi\) | |||||||
\(464\) | −2.24214 | + | 2.33182i | −0.104089 | + | 0.108252i | ||||
\(465\) | −21.2578 | + | 56.2155i | −0.985809 | + | 2.60693i | ||||
\(466\) | 16.3802 | + | 3.17485i | 0.758799 | + | 0.147072i | ||||
\(467\) | −8.12109 | −0.375799 | −0.187900 | − | 0.982188i | \(-0.560168\pi\) | ||||
−0.187900 | + | 0.982188i | \(0.560168\pi\) | |||||||
\(468\) | −12.3355 | − | 4.96844i | −0.570209 | − | 0.229666i | ||||
\(469\) | 2.89235i | 0.133556i | ||||||||
\(470\) | −17.0503 | + | 27.6248i | −0.786471 | + | 1.27424i | ||||
\(471\) | 21.2442 | 0.978882 | ||||||||
\(472\) | 23.7627 | + | 15.3773i | 1.09377 | + | 0.707796i | ||||
\(473\) | 33.9761i | 1.56222i | ||||||||
\(474\) | 8.94522 | − | 46.1516i | 0.410868 | − | 2.11981i | ||||
\(475\) | 8.23268 | − | 9.32891i | 0.377741 | − | 0.428040i | ||||
\(476\) | −2.32699 | − | 0.937254i | −0.106657 | − | 0.0429590i | ||||
\(477\) | −32.3982 | −1.48341 | ||||||||
\(478\) | 2.74014 | − | 14.1374i | 0.125331 | − | 0.646628i | ||||
\(479\) | 24.9788 | 1.14131 | 0.570656 | − | 0.821189i | \(-0.306689\pi\) | ||||
0.570656 | + | 0.821189i | \(0.306689\pi\) | |||||||
\(480\) | 8.06204 | + | 31.3089i | 0.367980 | + | 1.42905i | ||||
\(481\) | 3.91916 | 0.178698 | ||||||||
\(482\) | 0.805569 | − | 4.15622i | 0.0366927 | − | 0.189311i | ||||
\(483\) | −7.48097 | −0.340396 | ||||||||
\(484\) | −4.36485 | − | 1.75806i | −0.198402 | − | 0.0799116i | ||||
\(485\) | −15.3351 | − | 5.79896i | −0.696332 | − | 0.263317i | ||||
\(486\) | 5.99493 | − | 30.9300i | 0.271936 | − | 1.40301i | ||||
\(487\) | − | 18.3021i | − | 0.829346i | −0.909970 | − | 0.414673i | \(-0.863896\pi\) | ||
0.909970 | − | 0.414673i | \(-0.136104\pi\) | |||||||
\(488\) | −24.6007 | − | 15.9195i | −1.11362 | − | 0.720643i | ||||
\(489\) | 34.2782 | 1.55011 | ||||||||
\(490\) | −2.69099 | − | 1.66090i | −0.121566 | − | 0.0750319i | ||||
\(491\) | − | 29.6186i | − | 1.33667i | −0.743861 | − | 0.668334i | \(-0.767008\pi\) | ||
0.743861 | − | 0.668334i | \(-0.232992\pi\) | |||||||
\(492\) | 43.1960 | + | 17.3983i | 1.94743 | + | 0.784377i | ||||
\(493\) | −1.01440 | −0.0456864 | ||||||||
\(494\) | −6.50258 | − | 1.26035i | −0.292565 | − | 0.0567056i | ||||
\(495\) | 21.7279 | + | 8.21638i | 0.976596 | + | 0.369299i | ||||
\(496\) | −30.3207 | − | 29.1546i | −1.36144 | − | 1.30908i | ||||
\(497\) | − | 11.4191i | − | 0.512217i | ||||||
\(498\) | −6.05255 | + | 31.2273i | −0.271221 | + | 1.39933i | ||||
\(499\) | 41.5006i | 1.85782i | 0.370303 | + | 0.928911i | \(0.379254\pi\) | ||||
−0.370303 | + | 0.928911i | \(0.620746\pi\) | |||||||
\(500\) | 22.2415 | − | 2.30605i | 0.994668 | − | 0.103130i | ||||
\(501\) | − | 4.01528i | − | 0.179390i | ||||||
\(502\) | 9.16513 | + | 1.77641i | 0.409060 | + | 0.0792849i | ||||
\(503\) | 3.43798i | 0.153292i | 0.997058 | + | 0.0766461i | \(0.0244212\pi\) | ||||
−0.997058 | + | 0.0766461i | \(0.975579\pi\) | |||||||
\(504\) | −8.38895 | − | 5.42863i | −0.373674 | − | 0.241811i | ||||
\(505\) | 18.0612 | + | 6.82981i | 0.803712 | + | 0.303923i | ||||
\(506\) | −2.31610 | + | 11.9496i | −0.102963 | + | 0.531225i | ||||
\(507\) | −24.1727 | −1.07355 | ||||||||
\(508\) | 9.51670 | − | 23.6278i | 0.422235 | − | 1.04831i | ||||
\(509\) | 1.09479i | 0.0485259i | 0.999706 | + | 0.0242630i | \(0.00772390\pi\) | ||||
−0.999706 | + | 0.0242630i | \(0.992276\pi\) | |||||||
\(510\) | −5.32479 | + | 8.62720i | −0.235786 | + | 0.382019i | ||||
\(511\) | −16.4847 | −0.729239 | ||||||||
\(512\) | −22.3657 | − | 3.43153i | −0.988434 | − | 0.151654i | ||||
\(513\) | 3.38863i | 0.149612i | ||||||||
\(514\) | 22.5888 | + | 4.37823i | 0.996351 | + | 0.193115i | ||||
\(515\) | 7.14278 | + | 2.70103i | 0.314748 | + | 0.119022i | ||||
\(516\) | −54.7860 | − | 22.0665i | −2.41182 | − | 0.971423i | ||||
\(517\) | −30.1874 | −1.32764 | ||||||||
\(518\) | 2.89098 | + | 0.560336i | 0.127022 | + | 0.0246197i | ||||
\(519\) | −24.2274 | −1.06346 | ||||||||
\(520\) | −7.06031 | − | 9.58396i | −0.309615 | − | 0.420284i | ||||
\(521\) | −33.8624 | −1.48354 | −0.741768 | − | 0.670656i | \(-0.766013\pi\) | ||||
−0.741768 | + | 0.670656i | \(0.766013\pi\) | |||||||
\(522\) | −3.96666 | − | 0.768828i | −0.173616 | − | 0.0336507i | ||||
\(523\) | −34.8079 | −1.52204 | −0.761021 | − | 0.648728i | \(-0.775301\pi\) | ||||
−0.761021 | + | 0.648728i | \(0.775301\pi\) | |||||||
\(524\) | 3.24444 | − | 8.05521i | 0.141734 | − | 0.351893i | ||||
\(525\) | −8.45604 | + | 9.58201i | −0.369052 | + | 0.418193i | ||||
\(526\) | −17.0183 | − | 3.29854i | −0.742035 | − | 0.143823i | ||||
\(527\) | − | 13.1903i | − | 0.574578i | ||||||
\(528\) | −20.8377 | + | 21.6711i | −0.906843 | + | 0.943114i | ||||
\(529\) | 14.4332 | 0.627531 | ||||||||
\(530\) | −24.6783 | − | 15.2317i | −1.07196 | − | 0.661621i | ||||
\(531\) | 35.3527i | 1.53418i | ||||||||
\(532\) | −4.61644 | − | 1.85939i | −0.200148 | − | 0.0806149i | ||||
\(533\) | −17.1461 | −0.742681 | ||||||||
\(534\) | −4.57293 | + | 23.5934i | −0.197890 | + | 1.02099i | ||||
\(535\) | 6.29545 | − | 16.6481i | 0.272176 | − | 0.719759i | ||||
\(536\) | −4.44451 | + | 6.86817i | −0.191974 | + | 0.296660i | ||||
\(537\) | 23.9942i | 1.03542i | ||||||||
\(538\) | 9.50336 | + | 1.84196i | 0.409719 | + | 0.0794127i | ||||
\(539\) | − | 2.94061i | − | 0.126661i | ||||||
\(540\) | −4.12627 | + | 4.47905i | −0.177566 | + | 0.192747i | ||||
\(541\) | − | 1.30956i | − | 0.0563023i | −0.999604 | − | 0.0281512i | \(-0.991038\pi\) | ||
0.999604 | − | 0.0281512i | \(-0.00896198\pi\) | |||||||
\(542\) | −3.44985 | + | 17.7990i | −0.148184 | + | 0.764532i | ||||
\(543\) | − | 19.1227i | − | 0.820634i | ||||||
\(544\) | −4.08543 | − | 5.80135i | −0.175162 | − | 0.248731i | ||||
\(545\) | 8.29587 | + | 3.13707i | 0.355356 | + | 0.134377i | ||||
\(546\) | 6.67900 | + | 1.29454i | 0.285835 | + | 0.0554012i | ||||
\(547\) | 13.8227 | 0.591016 | 0.295508 | − | 0.955340i | \(-0.404511\pi\) | ||||
0.295508 | + | 0.955340i | \(0.404511\pi\) | |||||||
\(548\) | 7.37083 | − | 18.3001i | 0.314866 | − | 0.781740i | ||||
\(549\) | − | 36.5994i | − | 1.56202i | ||||||
\(550\) | 12.6877 | + | 16.4737i | 0.541005 | + | 0.702441i | ||||
\(551\) | −2.01245 | −0.0857331 | ||||||||
\(552\) | −17.7643 | − | 11.4956i | −0.756100 | − | 0.489285i | ||||
\(553\) | 13.0056i | 0.553055i | ||||||||
\(554\) | −6.82762 | + | 35.2261i | −0.290078 | + | 1.49662i | ||||
\(555\) | 4.20932 | − | 11.1314i | 0.178676 | − | 0.472501i | ||||
\(556\) | −13.5082 | + | 33.5378i | −0.572876 | + | 1.42232i | ||||
\(557\) | −18.8897 | −0.800384 | −0.400192 | − | 0.916431i | \(-0.631057\pi\) | ||||
−0.400192 | + | 0.916431i | \(0.631057\pi\) | |||||||
\(558\) | 9.99707 | − | 51.5785i | 0.423210 | − | 2.18349i | ||||
\(559\) | 21.7466 | 0.919783 | ||||||||
\(560\) | −3.83780 | − | 8.07906i | −0.162177 | − | 0.341403i | ||||
\(561\) | −9.42750 | −0.398029 | ||||||||
\(562\) | −5.45719 | + | 28.1556i | −0.230198 | + | 1.18767i | ||||
\(563\) | −17.9673 | −0.757232 | −0.378616 | − | 0.925554i | \(-0.623600\pi\) | ||||
−0.378616 | + | 0.925554i | \(0.623600\pi\) | |||||||
\(564\) | 19.6058 | − | 48.6767i | 0.825554 | − | 2.04966i | ||||
\(565\) | 5.42274 | + | 2.05060i | 0.228136 | + | 0.0862695i | ||||
\(566\) | −0.173183 | + | 0.893514i | −0.00727943 | + | 0.0375572i | ||||
\(567\) | 7.11778i | 0.298919i | ||||||||
\(568\) | 17.5471 | − | 27.1158i | 0.736260 | − | 1.13775i | ||||
\(569\) | 25.3482 | 1.06265 | 0.531327 | − | 0.847167i | \(-0.321694\pi\) | ||||
0.531327 | + | 0.847167i | \(0.321694\pi\) | |||||||
\(570\) | −10.5637 | + | 17.1153i | −0.442465 | + | 0.716880i | ||||
\(571\) | 8.06376i | 0.337458i | 0.985662 | + | 0.168729i | \(0.0539663\pi\) | ||||
−0.985662 | + | 0.168729i | \(0.946034\pi\) | |||||||
\(572\) | 4.13562 | − | 10.2678i | 0.172919 | − | 0.429318i | ||||
\(573\) | −22.7132 | −0.948858 | ||||||||
\(574\) | −12.6479 | − | 2.45144i | −0.527912 | − | 0.102321i | ||||
\(575\) | −9.68338 | + | 10.9728i | −0.403825 | + | 0.457596i | ||||
\(576\) | −11.5785 | − | 25.7817i | −0.482439 | − | 1.07424i | ||||
\(577\) | 18.1057i | 0.753748i | 0.926264 | + | 0.376874i | \(0.123001\pi\) | ||||
−0.926264 | + | 0.376874i | \(0.876999\pi\) | |||||||
\(578\) | −4.15129 | + | 21.4180i | −0.172671 | + | 0.890872i | ||||
\(579\) | 23.0795i | 0.959150i | ||||||||
\(580\) | −2.66002 | − | 2.45051i | −0.110451 | − | 0.101752i | ||||
\(581\) | − | 8.79990i | − | 0.365081i | ||||||
\(582\) | 26.0184 | + | 5.04295i | 1.07850 | + | 0.209037i | ||||
\(583\) | − | 26.9675i | − | 1.11688i | ||||||
\(584\) | −39.1445 | − | 25.3311i | −1.61981 | − | 1.04821i | ||||
\(585\) | 5.25894 | − | 13.9071i | 0.217430 | − | 0.574986i | ||||
\(586\) | −6.59331 | + | 34.0173i | −0.272367 | + | 1.40524i | ||||
\(587\) | −18.0269 | −0.744051 | −0.372025 | − | 0.928223i | \(-0.621337\pi\) | ||||
−0.372025 | + | 0.928223i | \(0.621337\pi\) | |||||||
\(588\) | 4.74169 | + | 1.90984i | 0.195544 | + | 0.0787605i | ||||
\(589\) | − | 26.1678i | − | 1.07823i | ||||||
\(590\) | −16.6207 | + | 26.9288i | −0.684264 | + | 1.10864i | ||||
\(591\) | 24.7237 | 1.01700 | ||||||||
\(592\) | 6.00387 | + | 5.77297i | 0.246758 | + | 0.237268i | ||||
\(593\) | 23.3814i | 0.960159i | 0.877225 | + | 0.480079i | \(0.159392\pi\) | ||||
−0.877225 | + | 0.480079i | \(0.840608\pi\) | |||||||
\(594\) | −5.55963 | − | 1.07758i | −0.228114 | − | 0.0442137i | ||||
\(595\) | 0.992053 | − | 2.62344i | 0.0406702 | − | 0.107551i | ||||
\(596\) | −9.21691 | + | 22.8835i | −0.377539 | + | 0.937343i | ||||
\(597\) | −11.7531 | −0.481022 | ||||||||
\(598\) | 7.64841 | + | 1.48243i | 0.312767 | + | 0.0606212i | ||||
\(599\) | −9.26472 | −0.378546 | −0.189273 | − | 0.981924i | \(-0.560613\pi\) | ||||
−0.189273 | + | 0.981924i | \(0.560613\pi\) | |||||||
\(600\) | −34.8039 | + | 9.75952i | −1.42086 | + | 0.398431i | ||||
\(601\) | 3.78965 | 0.154583 | 0.0772915 | − | 0.997009i | \(-0.475373\pi\) | ||||
0.0772915 | + | 0.997009i | \(0.475373\pi\) | |||||||
\(602\) | 16.0414 | + | 3.10919i | 0.653800 | + | 0.126721i | ||||
\(603\) | −10.2180 | −0.416111 | ||||||||
\(604\) | −16.9811 | − | 6.83958i | −0.690951 | − | 0.278298i | ||||
\(605\) | 1.86084 | − | 4.92093i | 0.0756541 | − | 0.200064i | ||||
\(606\) | −30.6436 | − | 5.93941i | −1.24481 | − | 0.241272i | ||||
\(607\) | − | 4.77766i | − | 0.193919i | −0.995288 | − | 0.0969596i | \(-0.969088\pi\) | ||
0.995288 | − | 0.0969596i | \(-0.0309118\pi\) | |||||||
\(608\) | −8.10498 | − | 11.5091i | −0.328700 | − | 0.466757i | ||||
\(609\) | 2.06705 | 0.0837610 | ||||||||
\(610\) | 17.2068 | − | 27.8784i | 0.696684 | − | 1.12876i | ||||
\(611\) | 19.3216i | 0.781669i | ||||||||
\(612\) | 3.31112 | − | 8.22074i | 0.133844 | − | 0.332304i | ||||
\(613\) | 11.7814 | 0.475847 | 0.237923 | − | 0.971284i | \(-0.423533\pi\) | ||||
0.237923 | + | 0.971284i | \(0.423533\pi\) | |||||||
\(614\) | 2.56682 | − | 13.2432i | 0.103588 | − | 0.534450i | ||||
\(615\) | −18.4156 | + | 48.6993i | −0.742588 | + | 1.96374i | ||||
\(616\) | 4.51867 | − | 6.98278i | 0.182063 | − | 0.281344i | ||||
\(617\) | 39.7114i | 1.59872i | 0.600853 | + | 0.799360i | \(0.294828\pi\) | ||||
−0.600853 | + | 0.799360i | \(0.705172\pi\) | |||||||
\(618\) | −12.1188 | − | 2.34890i | −0.487491 | − | 0.0944867i | ||||
\(619\) | − | 24.2590i | − | 0.975052i | −0.873108 | − | 0.487526i | \(-0.837899\pi\) | ||
0.873108 | − | 0.487526i | \(-0.162101\pi\) | |||||||
\(620\) | 31.8640 | − | 34.5883i | 1.27969 | − | 1.38910i | ||||
\(621\) | − | 3.98575i | − | 0.159943i | ||||||
\(622\) | −0.263411 | + | 1.35903i | −0.0105618 | + | 0.0544923i | ||||
\(623\) | − | 6.64867i | − | 0.266373i | ||||||
\(624\) | 13.8707 | + | 13.3373i | 0.555273 | + | 0.533918i | ||||
\(625\) | 3.10898 | + | 24.8059i | 0.124359 | + | 0.992237i | ||||
\(626\) | 37.1446 | + | 7.19946i | 1.48460 | + | 0.287748i | ||||
\(627\) | −18.7030 | −0.746924 | ||||||||
\(628\) | −15.4197 | − | 6.21068i | −0.615313 | − | 0.247833i | ||||
\(629\) | 2.61184i | 0.104141i | ||||||||
\(630\) | 5.86761 | − | 9.50668i | 0.233771 | − | 0.378755i | ||||
\(631\) | −41.9840 | −1.67136 | −0.835678 | − | 0.549219i | \(-0.814925\pi\) | ||||
−0.835678 | + | 0.549219i | \(0.814925\pi\) | |||||||
\(632\) | −19.9850 | + | 30.8831i | −0.794961 | + | 1.22847i | ||||
\(633\) | − | 69.6629i | − | 2.76885i | ||||||
\(634\) | 5.68544 | − | 29.3332i | 0.225798 | − | 1.16497i | ||||
\(635\) | 26.6380 | + | 10.0731i | 1.05710 | + | 0.399739i | ||||
\(636\) | 43.4847 | + | 17.5146i | 1.72428 | + | 0.694500i | ||||
\(637\) | −1.88215 | −0.0745737 | ||||||||
\(638\) | 0.639956 | − | 3.30176i | 0.0253361 | − | 0.130718i | ||||
\(639\) | 40.3413 | 1.59588 | ||||||||
\(640\) | 3.30140 | − | 25.0819i | 0.130499 | − | 0.991448i | ||||
\(641\) | −4.48888 | −0.177300 | −0.0886500 | − | 0.996063i | \(-0.528255\pi\) | ||||
−0.0886500 | + | 0.996063i | \(0.528255\pi\) | |||||||
\(642\) | −5.47471 | + | 28.2460i | −0.216070 | + | 1.11478i | ||||
\(643\) | 29.8174 | 1.17589 | 0.587943 | − | 0.808903i | \(-0.299938\pi\) | ||||
0.587943 | + | 0.808903i | \(0.299938\pi\) | |||||||
\(644\) | 5.42992 | + | 2.18704i | 0.213969 | + | 0.0861815i | ||||
\(645\) | 23.3567 | − | 61.7657i | 0.919667 | − | 2.43202i | ||||
\(646\) | 0.839931 | − | 4.33351i | 0.0330467 | − | 0.170500i | ||||
\(647\) | − | 31.9284i | − | 1.25523i | −0.778523 | − | 0.627617i | \(-0.784031\pi\) | ||
0.778523 | − | 0.627617i | \(-0.215969\pi\) | |||||||
\(648\) | −10.9375 | + | 16.9019i | −0.429666 | + | 0.663969i | ||||
\(649\) | −29.4268 | −1.15510 | ||||||||
\(650\) | 10.5441 | − | 8.12082i | 0.413573 | − | 0.318525i | ||||
\(651\) | 26.8778i | 1.05342i | ||||||||
\(652\) | −24.8801 | − | 10.0211i | −0.974381 | − | 0.392457i | ||||
\(653\) | −12.0375 | −0.471063 | −0.235531 | − | 0.971867i | \(-0.575683\pi\) | ||||
−0.235531 | + | 0.971867i | \(0.575683\pi\) | |||||||
\(654\) | −14.0752 | − | 2.72810i | −0.550385 | − | 0.106677i | ||||
\(655\) | 9.08145 | + | 3.43414i | 0.354841 | + | 0.134183i | ||||
\(656\) | −26.2666 | − | 25.2565i | −1.02554 | − | 0.986100i | ||||
\(657\) | − | 58.2368i | − | 2.27204i | ||||||
\(658\) | −2.76248 | + | 14.2526i | −0.107693 | + | 0.555625i | ||||
\(659\) | 23.0181i | 0.896657i | 0.893869 | + | 0.448329i | \(0.147981\pi\) | ||||
−0.893869 | + | 0.448329i | \(0.852019\pi\) | |||||||
\(660\) | −24.7213 | − | 22.7742i | −0.962275 | − | 0.886484i | ||||
\(661\) | − | 17.1643i | − | 0.667613i | −0.942642 | − | 0.333806i | \(-0.891667\pi\) | ||
0.942642 | − | 0.333806i | \(-0.108333\pi\) | |||||||
\(662\) | −2.34045 | − | 0.453633i | −0.0909644 | − | 0.0176309i | ||||
\(663\) | 6.03412i | 0.234346i | ||||||||
\(664\) | 13.5223 | − | 20.8962i | 0.524768 | − | 0.810932i | ||||
\(665\) | 1.96811 | − | 5.20458i | 0.0763199 | − | 0.201825i | ||||
\(666\) | −1.97955 | + | 10.2132i | −0.0767059 | + | 0.395753i | ||||
\(667\) | 2.36706 | 0.0916531 | ||||||||
\(668\) | −1.17386 | + | 2.91441i | −0.0454179 | + | 0.112762i | ||||
\(669\) | − | 27.3031i | − | 1.05560i | ||||||
\(670\) | −7.78327 | − | 4.80391i | −0.300694 | − | 0.185591i | ||||
\(671\) | 30.4645 | 1.17607 | ||||||||
\(672\) | 8.32488 | + | 11.8214i | 0.321139 | + | 0.456020i | ||||
\(673\) | − | 11.2759i | − | 0.434655i | −0.976099 | − | 0.217327i | \(-0.930266\pi\) | ||
0.976099 | − | 0.217327i | \(-0.0697339\pi\) | |||||||
\(674\) | 33.5243 | + | 6.49776i | 1.29131 | + | 0.250285i | ||||
\(675\) | −5.10515 | − | 4.50525i | −0.196497 | − | 0.173407i | ||||
\(676\) | 17.5453 | + | 7.06682i | 0.674818 | + | 0.271801i | ||||
\(677\) | 24.3448 | 0.935648 | 0.467824 | − | 0.883822i | \(-0.345038\pi\) | ||||
0.467824 | + | 0.883822i | \(0.345038\pi\) | |||||||
\(678\) | −9.20052 | − | 1.78327i | −0.353344 | − | 0.0684859i | ||||
\(679\) | −7.33203 | −0.281378 | ||||||||
\(680\) | 6.38703 | − | 4.70520i | 0.244931 | − | 0.180436i | ||||
\(681\) | −39.5458 | −1.51540 | ||||||||
\(682\) | 42.9328 | + | 8.32134i | 1.64398 | + | 0.318641i | ||||
\(683\) | 21.4971 | 0.822563 | 0.411281 | − | 0.911508i | \(-0.365081\pi\) | ||||
0.411281 | + | 0.911508i | \(0.365081\pi\) | |||||||
\(684\) | 6.56884 | − | 16.3089i | 0.251166 | − | 0.623586i | ||||
\(685\) | 20.6315 | + | 7.80179i | 0.788290 | + | 0.298091i | ||||
\(686\) | −1.38838 | − | 0.269098i | −0.0530084 | − | 0.0102742i | ||||
\(687\) | 16.8867i | 0.644269i | ||||||||
\(688\) | 33.3142 | + | 32.0330i | 1.27009 | + | 1.22125i | ||||
\(689\) | −17.2607 | −0.657581 | ||||||||
\(690\) | 12.4252 | − | 20.1312i | 0.473018 | − | 0.766382i | ||||
\(691\) | 13.8322i | 0.526203i | 0.964768 | + | 0.263102i | \(0.0847455\pi\) | ||||
−0.964768 | + | 0.263102i | \(0.915255\pi\) | |||||||
\(692\) | 17.5850 | + | 7.08280i | 0.668480 | + | 0.269248i | ||||
\(693\) | 10.3886 | 0.394628 | ||||||||
\(694\) | −3.00308 | + | 15.4940i | −0.113995 | + | 0.588143i | ||||
\(695\) | −37.8105 | − | 14.2980i | −1.43423 | − | 0.542354i | ||||
\(696\) | 4.90841 | + | 3.17631i | 0.186053 | + | 0.120398i | ||||
\(697\) | − | 11.4267i | − | 0.432816i | ||||||
\(698\) | −39.0273 | − | 7.56437i | −1.47721 | − | 0.286316i | ||||
\(699\) | − | 30.1552i | − | 1.14057i | ||||||
\(700\) | 8.93892 | − | 4.48282i | 0.337860 | − | 0.169435i | ||||
\(701\) | 9.72271i | 0.367222i | 0.982999 | + | 0.183611i | \(0.0587786\pi\) | ||||
−0.982999 | + | 0.183611i | \(0.941221\pi\) | |||||||
\(702\) | −0.689712 | + | 3.55847i | −0.0260315 | + | 0.134306i | ||||
\(703\) | 5.18156i | 0.195426i | ||||||||
\(704\) | 21.4601 | − | 9.63771i | 0.808808 | − | 0.363235i | ||||
\(705\) | 54.8782 | + | 20.7521i | 2.06683 | + | 0.781570i | ||||
\(706\) | −7.02717 | − | 1.36202i | −0.264471 | − | 0.0512604i | ||||
\(707\) | 8.63542 | 0.324768 | ||||||||
\(708\) | 19.1119 | − | 47.4503i | 0.718268 | − | 1.78329i | ||||
\(709\) | 50.6713i | 1.90300i | 0.307650 | + | 0.951500i | \(0.400457\pi\) | ||||
−0.307650 | + | 0.951500i | \(0.599543\pi\) | |||||||
\(710\) | 30.7287 | + | 18.9660i | 1.15323 | + | 0.711782i | ||||
\(711\) | −45.9461 | −1.72311 | ||||||||
\(712\) | 10.2166 | − | 15.7879i | 0.382885 | − | 0.591678i | ||||
\(713\) | 30.7789i | 1.15268i | ||||||||
\(714\) | −0.862719 | + | 4.45108i | −0.0322865 | + | 0.166578i | ||||
\(715\) | 11.5759 | + | 4.37742i | 0.432915 | + | 0.163706i | ||||
\(716\) | 7.01462 | − | 17.4157i | 0.262149 | − | 0.650855i | ||||
\(717\) | −26.0262 | −0.971967 | ||||||||
\(718\) | −3.44459 | + | 17.7719i | −0.128551 | + | 0.663240i | ||||
\(719\) | −34.1239 | −1.27261 | −0.636304 | − | 0.771439i | \(-0.719537\pi\) | ||||
−0.636304 | + | 0.771439i | \(0.719537\pi\) | |||||||
\(720\) | 28.5416 | − | 13.5581i | 1.06368 | − | 0.505282i | ||||
\(721\) | 3.41511 | 0.127185 | ||||||||
\(722\) | −3.44655 | + | 17.7820i | −0.128267 | + | 0.661778i | ||||
\(723\) | −7.65140 | −0.284559 | ||||||||
\(724\) | −5.59047 | + | 13.8798i | −0.207768 | + | 0.515840i | ||||
\(725\) | 2.67559 | − | 3.03186i | 0.0993688 | − | 0.112600i | ||||
\(726\) | −1.61825 | + | 8.34912i | −0.0600588 | + | 0.309865i | ||||
\(727\) | 16.2343i | 0.602098i | 0.953609 | + | 0.301049i | \(0.0973367\pi\) | ||||
−0.953609 | + | 0.301049i | \(0.902663\pi\) | |||||||
\(728\) | −4.46936 | − | 2.89220i | −0.165646 | − | 0.107192i | ||||
\(729\) | −35.5873 | −1.31805 | ||||||||
\(730\) | 27.3794 | − | 44.3601i | 1.01336 | − | 1.64184i | ||||
\(731\) | 14.4926i | 0.536027i | ||||||||
\(732\) | −19.7858 | + | 49.1236i | −0.731304 | + | 1.81566i | ||||
\(733\) | −27.2740 | −1.00739 | −0.503695 | − | 0.863882i | \(-0.668026\pi\) | ||||
−0.503695 | + | 0.863882i | \(0.668026\pi\) | |||||||
\(734\) | 25.0134 | + | 4.84816i | 0.923262 | + | 0.178949i | ||||
\(735\) | −2.02150 | + | 5.34579i | −0.0745643 | + | 0.197182i | ||||
\(736\) | 9.53318 | + | 13.5372i | 0.351398 | + | 0.498988i | ||||
\(737\) | − | 8.50528i | − | 0.313296i | ||||||
\(738\) | 8.66042 | − | 44.6822i | 0.318794 | − | 1.64478i | ||||
\(739\) | − | 20.7791i | − | 0.764372i | −0.924085 | − | 0.382186i | \(-0.875171\pi\) | ||
0.924085 | − | 0.382186i | \(-0.124829\pi\) | |||||||
\(740\) | −6.30948 | + | 6.84891i | −0.231941 | + | 0.251771i | ||||
\(741\) | 11.9709i | 0.439763i | ||||||||
\(742\) | −12.7324 | − | 2.46783i | −0.467421 | − | 0.0905967i | ||||
\(743\) | 15.7586i | 0.578128i | 0.957310 | + | 0.289064i | \(0.0933441\pi\) | ||||
−0.957310 | + | 0.289064i | \(0.906656\pi\) | |||||||
\(744\) | −41.3016 | + | 63.8240i | −1.51419 | + | 2.33990i | ||||
\(745\) | −25.7988 | − | 9.75580i | −0.945196 | − | 0.357425i | ||||
\(746\) | 0.189674 | − | 0.978596i | 0.00694445 | − | 0.0358289i | ||||
\(747\) | 31.0882 | 1.13746 | ||||||||
\(748\) | 6.84276 | + | 2.75610i | 0.250196 | + | 0.100773i | ||||
\(749\) | − | 7.95978i | − | 0.290844i | ||||||
\(750\) | −11.7404 | − | 38.6699i | −0.428699 | − | 1.41202i | ||||
\(751\) | −33.4985 | −1.22238 | −0.611189 | − | 0.791484i | \(-0.709309\pi\) | ||||
−0.611189 | + | 0.791484i | \(0.709309\pi\) | |||||||
\(752\) | −28.4610 | + | 29.5993i | −1.03787 | + | 1.07938i | ||||
\(753\) | − | 16.8726i | − | 0.614870i | ||||||
\(754\) | −2.11331 | − | 0.409607i | −0.0769622 | − | 0.0149170i | ||||
\(755\) | 7.23947 | − | 19.1445i | 0.263471 | − | 0.696740i | ||||
\(756\) | −1.01753 | + | 2.52630i | −0.0370074 | + | 0.0918808i | ||||
\(757\) | 18.2255 | 0.662417 | 0.331209 | − | 0.943558i | \(-0.392544\pi\) | ||||
0.331209 | + | 0.943558i | \(0.392544\pi\) | |||||||
\(758\) | −32.5374 | − | 6.30648i | −1.18181 | − | 0.229062i | ||||
\(759\) | 21.9986 | 0.798500 | ||||||||
\(760\) | 12.6711 | − | 9.33452i | 0.459628 | − | 0.338599i | ||||
\(761\) | 16.6248 | 0.602647 | 0.301323 | − | 0.953522i | \(-0.402572\pi\) | ||||
0.301323 | + | 0.953522i | \(0.402572\pi\) | |||||||
\(762\) | −45.1954 | − | 8.75989i | −1.63726 | − | 0.317337i | ||||
\(763\) | 3.96643 | 0.143594 | ||||||||
\(764\) | 16.4859 | + | 6.64014i | 0.596440 | + | 0.240232i | ||||
\(765\) | 9.26807 | + | 3.50471i | 0.335088 | + | 0.126713i | ||||
\(766\) | 1.01746 | + | 0.197206i | 0.0367622 | + | 0.00712533i | ||||
\(767\) | 18.8348i | 0.680086i | ||||||||
\(768\) | 1.60297 | + | 40.8635i | 0.0578423 | + | 1.47453i | ||||
\(769\) | −32.4549 | −1.17035 | −0.585176 | − | 0.810906i | \(-0.698975\pi\) | ||||
−0.585176 | + | 0.810906i | \(0.698975\pi\) | |||||||
\(770\) | 7.91315 | + | 4.88407i | 0.285170 | + | 0.176010i | ||||
\(771\) | − | 41.5850i | − | 1.49765i | ||||||
\(772\) | 6.74722 | − | 16.7518i | 0.242838 | − | 0.602910i | ||||
\(773\) | −13.5416 | −0.487059 | −0.243529 | − | 0.969894i | \(-0.578305\pi\) | ||||
−0.243529 | + | 0.969894i | \(0.578305\pi\) | |||||||
\(774\) | −10.9841 | + | 56.6709i | −0.394815 | + | 2.03699i | ||||
\(775\) | 39.4232 | + | 34.7907i | 1.41612 | + | 1.24972i | ||||
\(776\) | −17.4106 | − | 11.2667i | −0.625006 | − | 0.404452i | ||||
\(777\) | − | 5.32214i | − | 0.190931i | ||||||
\(778\) | 24.1265 | + | 4.67626i | 0.864977 | + | 0.167652i | ||||
\(779\) | − | 22.6691i | − | 0.812204i | ||||||
\(780\) | −14.5767 | + | 15.8230i | −0.521931 | + | 0.566554i | ||||
\(781\) | 33.5792i | 1.20156i | ||||||||
\(782\) | −0.987937 | + | 5.09713i | −0.0353286 | + | 0.182273i | ||||
\(783\) | 1.10129i | 0.0393570i | ||||||||
\(784\) | −2.88333 | − | 2.77244i | −0.102976 | − | 0.0990157i | ||||
\(785\) | 6.57381 | − | 17.3842i | 0.234629 | − | 0.620468i | ||||
\(786\) | −15.4081 | − | 2.98643i | −0.549588 | − | 0.106523i | ||||
\(787\) | −12.4651 | −0.444334 | −0.222167 | − | 0.975009i | \(-0.571313\pi\) | ||||
−0.222167 | + | 0.975009i | \(0.571313\pi\) | |||||||
\(788\) | −17.9452 | − | 7.22790i | −0.639272 | − | 0.257483i | ||||
\(789\) | 31.3299i | 1.11538i | ||||||||
\(790\) | −34.9979 | − | 21.6010i | −1.24517 | − | 0.768531i | ||||
\(791\) | 2.59272 | 0.0921866 | ||||||||
\(792\) | 24.6687 | + | 15.9635i | 0.876563 | + | 0.567239i | ||||
\(793\) | − | 19.4990i | − | 0.692429i | ||||||
\(794\) | −3.77359 | + | 19.4693i | −0.133920 | + | 0.690940i | ||||
\(795\) | −18.5387 | + | 49.0247i | −0.657498 | + | 1.73873i | ||||
\(796\) | 8.53074 | + | 3.43598i | 0.302364 | + | 0.121785i | ||||
\(797\) | 40.8982 | 1.44869 | 0.724345 | − | 0.689438i | \(-0.242142\pi\) | ||||
0.724345 | + | 0.689438i | \(0.242142\pi\) | |||||||
\(798\) | −1.71153 | + | 8.83038i | −0.0605874 | + | 0.312592i | ||||
\(799\) | −12.8765 | −0.455537 | ||||||||
\(800\) | 28.1149 | + | 3.09105i | 0.994010 | + | 0.109285i | ||||
\(801\) | 23.4883 | 0.829919 | ||||||||
\(802\) | 7.03214 | − | 36.2814i | 0.248314 | − | 1.28114i | ||||
\(803\) | 48.4751 | 1.71065 | ||||||||
\(804\) | 13.7146 | + | 5.52393i | 0.483678 | + | 0.194814i | ||||
\(805\) | −2.31491 | + | 6.12169i | −0.0815899 | + | 0.215761i | ||||
\(806\) | 5.32612 | − | 27.4794i | 0.187605 | − | 0.967920i | ||||
\(807\) | − | 17.4952i | − | 0.615861i | ||||||
\(808\) | 20.5057 | + | 13.2696i | 0.721387 | + | 0.466822i | ||||
\(809\) | −0.753530 | −0.0264927 | −0.0132464 | − | 0.999912i | \(-0.504217\pi\) | ||||
−0.0132464 | + | 0.999912i | \(0.504217\pi\) | |||||||
\(810\) | −19.1539 | − | 11.8219i | −0.672998 | − | 0.415380i | ||||
\(811\) | 34.2923i | 1.20416i | 0.798434 | + | 0.602082i | \(0.205662\pi\) | ||||
−0.798434 | + | 0.602082i | \(0.794338\pi\) | |||||||
\(812\) | −1.50032 | − | 0.604295i | −0.0526511 | − | 0.0212066i | ||||
\(813\) | 32.7671 | 1.14919 | ||||||||
\(814\) | −8.50124 | − | 1.64773i | −0.297968 | − | 0.0577529i | ||||
\(815\) | 10.6070 | − | 28.0499i | 0.371548 | − | 0.982544i | ||||
\(816\) | −8.88834 | + | 9.24384i | −0.311154 | + | 0.323599i | ||||
\(817\) | 28.7514i | 1.00588i | ||||||||
\(818\) | 5.02470 | − | 25.9243i | 0.175685 | − | 0.906421i | ||||
\(819\) | − | 6.64925i | − | 0.232344i | ||||||
\(820\) | 27.6037 | − | 29.9637i | 0.963962 | − | 1.04638i | ||||
\(821\) | − | 12.0734i | − | 0.421364i | −0.977555 | − | 0.210682i | \(-0.932431\pi\) | ||
0.977555 | − | 0.210682i | \(-0.0675685\pi\) | |||||||
\(822\) | −35.0046 | − | 6.78467i | −1.22092 | − | 0.236643i | ||||
\(823\) | − | 1.07789i | − | 0.0375728i | −0.999824 | − | 0.0187864i | \(-0.994020\pi\) | ||
0.999824 | − | 0.0187864i | \(-0.00598024\pi\) | |||||||
\(824\) | 8.10952 | + | 5.24781i | 0.282508 | + | 0.182816i | ||||
\(825\) | 24.8659 | − | 28.1770i | 0.865721 | − | 0.980997i | ||||
\(826\) | −2.69288 | + | 13.8935i | −0.0936972 | + | 0.483418i | ||||
\(827\) | −37.5289 | −1.30501 | −0.652504 | − | 0.757786i | \(-0.726281\pi\) | ||||
−0.652504 | + | 0.757786i | \(0.726281\pi\) | |||||||
\(828\) | −7.72634 | + | 19.1827i | −0.268509 | + | 0.666646i | ||||
\(829\) | − | 5.64579i | − | 0.196086i | −0.995182 | − | 0.0980432i | \(-0.968742\pi\) | ||
0.995182 | − | 0.0980432i | \(-0.0312583\pi\) | |||||||
\(830\) | 23.6804 | + | 14.6158i | 0.821959 | + | 0.507321i | ||||
\(831\) | 64.8496 | 2.24961 | ||||||||
\(832\) | −6.16867 | − | 13.7356i | −0.213860 | − | 0.476198i | ||||
\(833\) | − | 1.25432i | − | 0.0434597i | ||||||
\(834\) | 64.1514 | + | 12.4340i | 2.22138 | + | 0.430554i | ||||
\(835\) | −3.28571 | − | 1.24249i | −0.113707 | − | 0.0429981i | ||||
\(836\) | 13.5752 | + | 5.46775i | 0.469507 | + | 0.189106i | ||||
\(837\) | −14.3201 | −0.494975 | ||||||||
\(838\) | −39.8263 | − | 7.71924i | −1.37578 | − | 0.266657i | ||||
\(839\) | 5.03287 | 0.173754 | 0.0868769 | − | 0.996219i | \(-0.472311\pi\) | ||||
0.0868769 | + | 0.996219i | \(0.472311\pi\) | |||||||
\(840\) | −13.0148 | + | 9.58778i | −0.449055 | + | 0.330810i | ||||
\(841\) | 28.3460 | 0.977447 | ||||||||
\(842\) | −33.4976 | − | 6.49258i | −1.15440 | − | 0.223749i | ||||
\(843\) | 51.8331 | 1.78523 | ||||||||
\(844\) | −20.3658 | + | 50.5635i | −0.701018 | + | 1.74047i | ||||
\(845\) | −7.48000 | + | 19.7806i | −0.257320 | + | 0.680472i | ||||
\(846\) | −50.3515 | − | 9.75924i | −1.73112 | − | 0.335530i | ||||
\(847\) | − | 2.35280i | − | 0.0808431i | ||||||
\(848\) | −26.4422 | − | 25.4253i | −0.908029 | − | 0.873107i | ||||
\(849\) | 1.64492 | 0.0564534 | ||||||||
\(850\) | 5.41195 | + | 7.02688i | 0.185628 | + | 0.241020i | ||||
\(851\) | − | 6.09462i | − | 0.208921i | ||||||
\(852\) | −54.1459 | − | 21.8087i | −1.85501 | − | 0.747153i | ||||
\(853\) | −17.2705 | −0.591331 | −0.295666 | − | 0.955291i | \(-0.595541\pi\) | ||||
−0.295666 | + | 0.955291i | \(0.595541\pi\) | |||||||
\(854\) | 2.78784 | − | 14.3835i | 0.0953979 | − | 0.492192i | ||||
\(855\) | 18.3867 | + | 6.95290i | 0.628811 | + | 0.237784i | ||||
\(856\) | 12.2314 | − | 18.9013i | 0.418059 | − | 0.646033i | ||||
\(857\) | − | 42.2647i | − | 1.44374i | −0.692031 | − | 0.721868i | \(-0.743284\pi\) | ||
0.692031 | − | 0.721868i | \(-0.256716\pi\) | |||||||
\(858\) | −19.6404 | − | 3.80674i | −0.670510 | − | 0.129960i | ||||
\(859\) | − | 13.9037i | − | 0.474390i | −0.971462 | − | 0.237195i | \(-0.923772\pi\) | ||
0.971462 | − | 0.237195i | \(-0.0762280\pi\) | |||||||
\(860\) | −35.0100 | + | 38.0032i | −1.19383 | + | 1.29590i | ||||
\(861\) | 23.2841i | 0.793521i | ||||||||
\(862\) | 0.712541 | − | 3.67626i | 0.0242693 | − | 0.125214i | ||||
\(863\) | 24.9334i | 0.848743i | 0.905488 | + | 0.424371i | \(0.139505\pi\) | ||||
−0.905488 | + | 0.424371i | \(0.860495\pi\) | |||||||
\(864\) | −6.29827 | + | 4.43537i | −0.214271 | + | 0.150894i | ||||
\(865\) | −7.49691 | + | 19.8253i | −0.254903 | + | 0.674080i | ||||
\(866\) | −13.3516 | − | 2.58784i | −0.453705 | − | 0.0879383i | ||||
\(867\) | 39.4295 | 1.33910 | ||||||||
\(868\) | 7.85765 | − | 19.5087i | 0.266706 | − | 0.662169i | ||||
\(869\) | − | 38.2445i | − | 1.29736i | ||||||
\(870\) | −3.43316 | + | 5.56239i | −0.116395 | + | 0.188583i | ||||
\(871\) | −5.44385 | −0.184458 | ||||||||
\(872\) | 9.41867 | + | 6.09498i | 0.318957 | + | 0.206402i | ||||
\(873\) | − | 25.9025i | − | 0.876667i | ||||||
\(874\) | −1.95994 | + | 10.1120i | −0.0662960 | + | 0.342045i | ||||
\(875\) | 5.22434 | + | 9.88465i | 0.176615 | + | 0.334162i | ||||
\(876\) | −31.4831 | + | 78.1653i | −1.06372 | + | 2.64096i | ||||
\(877\) | 25.7939 | 0.870998 | 0.435499 | − | 0.900189i | \(-0.356572\pi\) | ||||
0.435499 | + | 0.900189i | \(0.356572\pi\) | |||||||
\(878\) | 3.39774 | − | 17.5302i | 0.114668 | − | 0.591614i | ||||
\(879\) | 62.6241 | 2.11226 | ||||||||
\(880\) | 11.2855 | + | 23.7574i | 0.380434 | + | 0.800862i | ||||
\(881\) | −38.4580 | −1.29568 | −0.647841 | − | 0.761776i | \(-0.724328\pi\) | ||||
−0.647841 | + | 0.761776i | \(0.724328\pi\) | |||||||
\(882\) | 0.950667 | − | 4.90483i | 0.0320106 | − | 0.165154i | ||||
\(883\) | −7.28866 | −0.245283 | −0.122641 | − | 0.992451i | \(-0.539137\pi\) | ||||
−0.122641 | + | 0.992451i | \(0.539137\pi\) | |||||||
\(884\) | 1.76406 | − | 4.37975i | 0.0593317 | − | 0.147307i | ||||
\(885\) | 53.4955 | + | 20.2293i | 1.79823 | + | 0.680000i | ||||
\(886\) | −3.25206 | + | 16.7786i | −0.109255 | + | 0.563687i | ||||
\(887\) | − | 50.2855i | − | 1.68842i | −0.536010 | − | 0.844212i | \(-0.680069\pi\) | ||
0.536010 | − | 0.844212i | \(-0.319931\pi\) | |||||||
\(888\) | 8.17824 | − | 12.6380i | 0.274444 | − | 0.424102i | ||||
\(889\) | 12.7362 | 0.427157 | ||||||||
\(890\) | 17.8915 | + | 11.0428i | 0.599724 | + | 0.370155i | ||||
\(891\) | − | 20.9306i | − | 0.701203i | ||||||
\(892\) | −7.98199 | + | 19.8175i | −0.267257 | + | 0.663537i | ||||
\(893\) | −25.5453 | −0.854841 | ||||||||
\(894\) | 43.7717 | + | 8.48394i | 1.46394 | + | 0.283745i | ||||
\(895\) | 19.6345 | + | 7.42475i | 0.656307 | + | 0.248182i | ||||
\(896\) | −2.58650 | − | 11.0141i | −0.0864088 | − | 0.367955i | ||||
\(897\) | − | 14.0804i | − | 0.470129i | ||||||
\(898\) | −6.89683 | + | 35.5832i | −0.230150 | + | 1.18743i | ||||
\(899\) | − | 8.50444i | − | 0.283639i | ||||||
\(900\) | 15.8368 | + | 31.5793i | 0.527894 | + | 1.05264i | ||||
\(901\) | − | 11.5030i | − | 0.383222i | ||||||
\(902\) | 37.1925 | + | 7.20874i | 1.23837 | + | 0.240025i | ||||
\(903\) | − | 29.5315i | − | 0.982746i | ||||||
\(904\) | 6.15668 | + | 3.98409i | 0.204768 | + | 0.132509i | ||||
\(905\) | −15.6481 | − | 5.91733i | −0.520162 | − | 0.196699i | ||||
\(906\) | −6.29567 | + | 32.4816i | −0.209159 | + | 1.07913i | ||||
\(907\) | −38.3879 | −1.27465 | −0.637324 | − | 0.770596i | \(-0.719959\pi\) | ||||
−0.637324 | + | 0.770596i | \(0.719959\pi\) | |||||||
\(908\) | 28.7035 | + | 11.5611i | 0.952559 | + | 0.383668i | ||||
\(909\) | 30.5071i | 1.01186i | ||||||||
\(910\) | 3.12607 | − | 5.06485i | 0.103628 | − | 0.167898i | ||||
\(911\) | −14.7552 | −0.488862 | −0.244431 | − | 0.969667i | \(-0.578601\pi\) | ||||
−0.244431 | + | 0.969667i | \(0.578601\pi\) | |||||||
\(912\) | −17.6333 | + | 18.3386i | −0.583898 | + | 0.607252i | ||||
\(913\) | 25.8771i | 0.856407i | ||||||||
\(914\) | −2.00989 | − | 0.389562i | −0.0664813 | − | 0.0128856i | ||||
\(915\) | −55.3820 | − | 20.9426i | −1.83087 | − | 0.692342i | ||||
\(916\) | 4.93679 | − | 12.2569i | 0.163116 | − | 0.404980i | ||||
\(917\) | 4.34203 | 0.143386 | ||||||||
\(918\) | −2.37147 | − | 0.459644i | −0.0782702 | − | 0.0151705i | ||||
\(919\) | 30.3228 | 1.00026 | 0.500129 | − | 0.865951i | \(-0.333286\pi\) | ||||
0.500129 | + | 0.865951i | \(0.333286\pi\) | |||||||
\(920\) | −14.9039 | + | 10.9794i | −0.491365 | + | 0.361979i | ||||
\(921\) | −24.3800 | −0.803348 | ||||||||
\(922\) | 56.7386 | + | 10.9972i | 1.86859 | + | 0.362174i | ||||
\(923\) | 21.4925 | 0.707436 | ||||||||
\(924\) | −13.9435 | − | 5.61610i | −0.458707 | − | 0.184756i | ||||
\(925\) | −7.80630 | − | 6.88899i | −0.256669 | − | 0.226509i | ||||
\(926\) | −2.18486 | − | 0.423475i | −0.0717990 | − | 0.0139163i | ||||
\(927\) | 12.0648i | 0.396262i | ||||||||
\(928\) | −2.63409 | − | 3.74042i | −0.0864681 | − | 0.122785i | ||||
\(929\) | −10.3022 | −0.338004 | −0.169002 | − | 0.985616i | \(-0.554054\pi\) | ||||
−0.169002 | + | 0.985616i | \(0.554054\pi\) | |||||||
\(930\) | −72.3278 | − | 44.6414i | −2.37172 | − | 1.46385i | ||||
\(931\) | − | 2.48842i | − | 0.0815546i | ||||||
\(932\) | −8.81577 | + | 21.8875i | −0.288770 | + | 0.716950i | ||||
\(933\) | 2.50192 | 0.0819090 | ||||||||
\(934\) | 2.18537 | − | 11.2751i | 0.0715076 | − | 0.368933i | ||||
\(935\) | −2.91724 | + | 7.71453i | −0.0954041 | + | 0.252292i | ||||
\(936\) | 10.2175 | − | 15.7893i | 0.333970 | − | 0.516090i | ||||
\(937\) | 3.63881i | 0.118875i | 0.998232 | + | 0.0594374i | \(0.0189307\pi\) | ||||
−0.998232 | + | 0.0594374i | \(0.981069\pi\) | |||||||
\(938\) | −4.01567 | − | 0.778326i | −0.131116 | − | 0.0254133i | ||||
\(939\) | − | 68.3814i | − | 2.23154i | ||||||
\(940\) | −33.7654 | − | 31.1060i | −1.10131 | − | 1.01457i | ||||
\(941\) | − | 12.2350i | − | 0.398851i | −0.979913 | − | 0.199426i | \(-0.936092\pi\) | ||
0.979913 | − | 0.199426i | \(-0.0639076\pi\) | |||||||
\(942\) | −5.71678 | + | 29.4950i | −0.186263 | + | 0.960997i | ||||
\(943\) | 26.6636i | 0.868288i | ||||||||
\(944\) | −27.7439 | + | 28.8536i | −0.902988 | + | 0.939104i | ||||
\(945\) | −2.84816 | − | 1.07703i | −0.0926505 | − | 0.0350357i | ||||
\(946\) | −47.1716 | − | 9.14292i | −1.53368 | − | 0.297262i | ||||
\(947\) | −18.5100 | −0.601496 | −0.300748 | − | 0.953704i | \(-0.597236\pi\) | ||||
−0.300748 | + | 0.953704i | \(0.597236\pi\) | |||||||
\(948\) | 61.6686 | + | 24.8387i | 2.00290 | + | 0.806722i | ||||
\(949\) | − | 31.0267i | − | 1.00717i | ||||||
\(950\) | 10.7366 | + | 13.9404i | 0.348342 | + | 0.452288i | ||||
\(951\) | −54.0011 | −1.75110 | ||||||||
\(952\) | 1.92745 | − | 2.97852i | 0.0624690 | − | 0.0965342i | ||||
\(953\) | 56.4219i | 1.82769i | 0.406069 | + | 0.913843i | \(0.366899\pi\) | ||||
−0.406069 | + | 0.913843i | \(0.633101\pi\) | |||||||
\(954\) | 8.71830 | − | 44.9808i | 0.282265 | − | 1.45631i | ||||
\(955\) | −7.02838 | + | 18.5863i | −0.227433 | + | 0.601437i | ||||
\(956\) | 18.8906 | + | 7.60868i | 0.610966 | + | 0.246082i | ||||
\(957\) | −6.07838 | −0.196486 | ||||||||
\(958\) | −6.72177 | + | 34.6800i | −0.217170 | + | 1.12046i | ||||
\(959\) | 9.86435 | 0.318537 | ||||||||
\(960\) | −45.6380 | + | 2.76796i | −1.47296 | + | 0.0893355i | ||||
\(961\) | 79.5832 | 2.56720 | ||||||||
\(962\) | −1.05464 | + | 5.44126i | −0.0340029 | + | 0.175433i | ||||
\(963\) | 28.1202 | 0.906161 | ||||||||
\(964\) | 5.55362 | + | 2.23686i | 0.178870 | + | 0.0720446i | ||||
\(965\) | 18.8860 | + | 7.14171i | 0.607961 | + | 0.229900i | ||||
\(966\) | 2.01312 | − | 10.3864i | 0.0647710 | − | 0.334177i | ||||
\(967\) | − | 14.5778i | − | 0.468790i | −0.972141 | − | 0.234395i | \(-0.924689\pi\) | ||
0.972141 | − | 0.234395i | \(-0.0753109\pi\) | |||||||
\(968\) | 3.61541 | − | 5.58695i | 0.116204 | − | 0.179572i | ||||
\(969\) | −7.97778 | −0.256283 | ||||||||
\(970\) | 12.1778 | − | 19.7304i | 0.391005 | − | 0.633505i | ||||
\(971\) | 44.2799i | 1.42101i | 0.703692 | + | 0.710505i | \(0.251533\pi\) | ||||
−0.703692 | + | 0.710505i | \(0.748467\pi\) | |||||||
\(972\) | 41.3293 | + | 16.6464i | 1.32564 | + | 0.533935i | ||||
\(973\) | −18.0780 | −0.579554 | ||||||||
\(974\) | 25.4101 | + | 4.92506i | 0.814194 | + | 0.157809i | ||||
\(975\) | −18.0348 | − | 15.9156i | −0.577577 | − | 0.509707i | ||||
\(976\) | 28.7223 | − | 29.8711i | 0.919378 | − | 0.956150i | ||||
\(977\) | − | 29.7021i | − | 0.950253i | −0.879917 | − | 0.475127i | \(-0.842402\pi\) | ||
0.879917 | − | 0.475127i | \(-0.157598\pi\) | |||||||
\(978\) | −9.22420 | + | 47.5910i | −0.294957 | + | 1.52179i | ||||
\(979\) | 19.5512i | 0.624858i | ||||||||
\(980\) | 3.03009 | − | 3.28915i | 0.0967928 | − | 0.105068i | ||||
\(981\) | 14.0125i | 0.447386i | ||||||||
\(982\) | 41.1217 | + | 7.97031i | 1.31225 | + | 0.254343i | ||||
\(983\) | 47.8429i | 1.52595i | 0.646427 | + | 0.762976i | \(0.276263\pi\) | ||||
−0.646427 | + | 0.762976i | \(0.723737\pi\) | |||||||
\(984\) | −35.7794 | + | 55.2905i | −1.14061 | + | 1.76260i | ||||
\(985\) | 7.65050 | − | 20.2314i | 0.243765 | − | 0.644627i | ||||
\(986\) | 0.272974 | − | 1.40837i | 0.00869327 | − | 0.0448517i | ||||
\(987\) | 26.2384 | 0.835177 | ||||||||
\(988\) | 3.49967 | − | 8.68886i | 0.111339 | − | 0.276430i | ||||
\(989\) | − | 33.8178i | − | 1.07534i | ||||||
\(990\) | −17.2544 | + | 27.9555i | −0.548379 | + | 0.888483i | ||||
\(991\) | −31.1700 | −0.990149 | −0.495074 | − | 0.868851i | \(-0.664859\pi\) | ||||
−0.495074 | + | 0.868851i | \(0.664859\pi\) | |||||||
\(992\) | 48.6367 | − | 34.2510i | 1.54422 | − | 1.08747i | ||||
\(993\) | 4.30866i | 0.136731i | ||||||||
\(994\) | 15.8540 | + | 3.07286i | 0.502859 | + | 0.0974653i | ||||
\(995\) | −3.63687 | + | 9.61757i | −0.115297 | + | 0.304897i | ||||
\(996\) | −41.7264 | − | 16.8064i | −1.32215 | − | 0.532531i | ||||
\(997\) | 29.8134 | 0.944201 | 0.472101 | − | 0.881545i | \(-0.343496\pi\) | ||||
0.472101 | + | 0.881545i | \(0.343496\pi\) | |||||||
\(998\) | −57.6184 | − | 11.1677i | −1.82388 | − | 0.353509i | ||||
\(999\) | 2.83556 | 0.0897131 |
(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 | 280.2.l.a.29.16 | yes | 36 | |
4.3 | odd | 2 | 1120.2.l.a.1009.6 | 36 | |||
5.4 | even | 2 | inner | 280.2.l.a.29.21 | yes | 36 | |
8.3 | odd | 2 | 1120.2.l.a.1009.31 | 36 | |||
8.5 | even | 2 | inner | 280.2.l.a.29.22 | yes | 36 | |
20.19 | odd | 2 | 1120.2.l.a.1009.32 | 36 | |||
40.19 | odd | 2 | 1120.2.l.a.1009.5 | 36 | |||
40.29 | even | 2 | inner | 280.2.l.a.29.15 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.l.a.29.15 | ✓ | 36 | 40.29 | even | 2 | inner | |
280.2.l.a.29.16 | yes | 36 | 1.1 | even | 1 | trivial | |
280.2.l.a.29.21 | yes | 36 | 5.4 | even | 2 | inner | |
280.2.l.a.29.22 | yes | 36 | 8.5 | even | 2 | inner | |
1120.2.l.a.1009.5 | 36 | 40.19 | odd | 2 | |||
1120.2.l.a.1009.6 | 36 | 4.3 | odd | 2 | |||
1120.2.l.a.1009.31 | 36 | 8.3 | odd | 2 | |||
1120.2.l.a.1009.32 | 36 | 20.19 | odd | 2 |