Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 33.14 | ||
Character | \(\chi\) | \(=\) | 175.33 |
Dual form | 175.2.x.a.122.14 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14167 | − | 0.741409i | 0.807283 | − | 0.524255i | −0.0737692 | − | 0.997275i | \(-0.523503\pi\) |
0.881052 | + | 0.473020i | \(0.156836\pi\) | |||||||
\(3\) | −0.611423 | + | 0.234703i | −0.353005 | + | 0.135506i | −0.528408 | − | 0.848991i | \(-0.677211\pi\) |
0.175402 | + | 0.984497i | \(0.443877\pi\) | |||||||
\(4\) | −0.0597505 | + | 0.134202i | −0.0298753 | + | 0.0671010i | ||||
\(5\) | 1.79402 | + | 1.33472i | 0.802311 | + | 0.596906i | ||||
\(6\) | −0.524032 | + | 0.721269i | −0.213935 | + | 0.294457i | ||||
\(7\) | 2.25355 | − | 1.38618i | 0.851763 | − | 0.523928i | ||||
\(8\) | 0.457187 | + | 2.88657i | 0.161640 | + | 1.02055i | ||||
\(9\) | −1.91068 | + | 1.72039i | −0.636894 | + | 0.573462i | ||||
\(10\) | 3.03776 | + | 0.193708i | 0.960623 | + | 0.0612559i | ||||
\(11\) | 2.41150 | − | 2.67824i | 0.727094 | − | 0.807520i | −0.260346 | − | 0.965515i | \(-0.583837\pi\) |
0.987440 | + | 0.157996i | \(0.0505033\pi\) | |||||||
\(12\) | 0.00503523 | − | 0.0960778i | 0.00145354 | − | 0.0277353i | ||||
\(13\) | −3.11121 | − | 6.10609i | −0.862894 | − | 1.69352i | −0.708730 | − | 0.705480i | \(-0.750732\pi\) |
−0.154164 | − | 0.988045i | \(-0.549268\pi\) | |||||||
\(14\) | 1.54508 | − | 3.25337i | 0.412941 | − | 0.869499i | ||||
\(15\) | −1.41017 | − | 0.395017i | −0.364105 | − | 0.101993i | ||||
\(16\) | 2.46549 | + | 2.73820i | 0.616372 | + | 0.684551i | ||||
\(17\) | −0.775053 | + | 0.627626i | −0.187978 | + | 0.152222i | −0.718690 | − | 0.695331i | \(-0.755258\pi\) |
0.530712 | + | 0.847552i | \(0.321925\pi\) | |||||||
\(18\) | −0.905858 | + | 3.38071i | −0.213513 | + | 0.796841i | ||||
\(19\) | −4.08649 | + | 1.81942i | −0.937504 | + | 0.417404i | −0.817863 | − | 0.575413i | \(-0.804841\pi\) |
−0.119642 | + | 0.992817i | \(0.538175\pi\) | |||||||
\(20\) | −0.286316 | + | 0.161011i | −0.0640222 | + | 0.0360031i | ||||
\(21\) | −1.05253 | + | 1.37646i | −0.229681 | + | 0.300368i | ||||
\(22\) | 0.767463 | − | 4.84557i | 0.163624 | − | 1.03308i | ||||
\(23\) | 2.15631 | + | 3.32042i | 0.449621 | + | 0.692356i | 0.988701 | − | 0.149898i | \(-0.0478947\pi\) |
−0.539080 | + | 0.842254i | \(0.681228\pi\) | |||||||
\(24\) | −0.957022 | − | 1.65761i | −0.195351 | − | 0.338358i | ||||
\(25\) | 1.43703 | + | 4.78904i | 0.287406 | + | 0.957809i | ||||
\(26\) | −8.07908 | − | 4.66446i | −1.58444 | − | 0.914776i | ||||
\(27\) | 1.65644 | − | 3.25095i | 0.318782 | − | 0.625646i | ||||
\(28\) | 0.0513775 | + | 0.385256i | 0.00970944 | + | 0.0728066i | ||||
\(29\) | −4.04983 | − | 5.57411i | −0.752034 | − | 1.03509i | −0.997835 | − | 0.0657661i | \(-0.979051\pi\) |
0.245801 | − | 0.969320i | \(-0.420949\pi\) | |||||||
\(30\) | −1.90282 | + | 0.594534i | −0.347406 | + | 0.108547i | ||||
\(31\) | −6.15772 | − | 0.647202i | −1.10596 | − | 0.116241i | −0.466099 | − | 0.884733i | \(-0.654341\pi\) |
−0.639860 | + | 0.768492i | \(0.721008\pi\) | |||||||
\(32\) | −0.801024 | − | 0.214634i | −0.141602 | − | 0.0379422i | ||||
\(33\) | −0.845854 | + | 2.20353i | −0.147244 | + | 0.383584i | ||||
\(34\) | −0.419528 | + | 1.29117i | −0.0719484 | + | 0.221434i | ||||
\(35\) | 5.89309 | + | 0.521023i | 0.996114 | + | 0.0880689i | ||||
\(36\) | −0.116715 | − | 0.359211i | −0.0194525 | − | 0.0598685i | ||||
\(37\) | 3.02904 | + | 0.158745i | 0.497971 | + | 0.0260976i | 0.299669 | − | 0.954043i | \(-0.403124\pi\) |
0.198302 | + | 0.980141i | \(0.436457\pi\) | |||||||
\(38\) | −3.31648 | + | 5.10694i | −0.538005 | + | 0.828455i | ||||
\(39\) | 3.33539 | + | 3.00320i | 0.534089 | + | 0.480896i | ||||
\(40\) | −3.03256 | + | 5.78878i | −0.479490 | + | 0.915286i | ||||
\(41\) | −5.72350 | − | 1.85968i | −0.893861 | − | 0.290433i | −0.174160 | − | 0.984717i | \(-0.555721\pi\) |
−0.719701 | + | 0.694285i | \(0.755721\pi\) | |||||||
\(42\) | −0.181123 | + | 2.35182i | −0.0279480 | + | 0.362894i | ||||
\(43\) | 3.08766 | + | 3.08766i | 0.470863 | + | 0.470863i | 0.902194 | − | 0.431331i | \(-0.141956\pi\) |
−0.431331 | + | 0.902194i | \(0.641956\pi\) | |||||||
\(44\) | 0.215337 | + | 0.483654i | 0.0324632 | + | 0.0729136i | ||||
\(45\) | −5.72404 | + | 0.536180i | −0.853290 | + | 0.0799290i | ||||
\(46\) | 4.92358 | + | 2.19212i | 0.725943 | + | 0.323211i | ||||
\(47\) | 3.07803 | − | 3.80106i | 0.448978 | − | 0.554441i | −0.501531 | − | 0.865140i | \(-0.667230\pi\) |
0.950508 | + | 0.310699i | \(0.100563\pi\) | |||||||
\(48\) | −2.15012 | − | 1.09554i | −0.310344 | − | 0.158128i | ||||
\(49\) | 3.15699 | − | 6.24767i | 0.450999 | − | 0.892525i | ||||
\(50\) | 5.19126 | + | 4.40208i | 0.734154 | + | 0.622548i | ||||
\(51\) | 0.326580 | − | 0.565653i | 0.0457303 | − | 0.0792072i | ||||
\(52\) | 1.00535 | − | 0.0526879i | 0.139416 | − | 0.00730650i | ||||
\(53\) | −3.16480 | − | 8.24459i | −0.434719 | − | 1.13248i | −0.959615 | − | 0.281316i | \(-0.909229\pi\) |
0.524896 | − | 0.851166i | \(-0.324104\pi\) | |||||||
\(54\) | −0.519174 | − | 4.93961i | −0.0706507 | − | 0.672196i | ||||
\(55\) | 7.90099 | − | 1.58614i | 1.06537 | − | 0.213875i | ||||
\(56\) | 5.03160 | + | 5.87128i | 0.672376 | + | 0.784583i | ||||
\(57\) | 2.07155 | − | 2.07155i | 0.274383 | − | 0.274383i | ||||
\(58\) | −8.75626 | − | 3.36122i | −1.14975 | − | 0.441349i | ||||
\(59\) | 2.70635 | − | 0.575253i | 0.352337 | − | 0.0748916i | −0.0283432 | − | 0.999598i | \(-0.509023\pi\) |
0.380680 | + | 0.924707i | \(0.375690\pi\) | |||||||
\(60\) | 0.137271 | − | 0.165645i | 0.0177216 | − | 0.0213847i | ||||
\(61\) | −0.761238 | + | 3.58134i | −0.0974665 | + | 0.458544i | 0.902165 | + | 0.431391i | \(0.141977\pi\) |
−0.999631 | + | 0.0271522i | \(0.991356\pi\) | |||||||
\(62\) | −7.50992 | + | 3.82650i | −0.953761 | + | 0.485965i | ||||
\(63\) | −1.92105 | + | 6.52553i | −0.242030 | + | 0.822140i | ||||
\(64\) | −8.08219 | + | 2.62606i | −1.01027 | + | 0.328258i | ||||
\(65\) | 2.56836 | − | 15.1071i | 0.318566 | − | 1.87380i | ||||
\(66\) | 0.668027 | + | 3.14282i | 0.0822285 | + | 0.386855i | ||||
\(67\) | 8.87677 | + | 10.9619i | 1.08447 | + | 1.33921i | 0.936678 | + | 0.350191i | \(0.113883\pi\) |
0.147792 | + | 0.989018i | \(0.452783\pi\) | |||||||
\(68\) | −0.0379187 | − | 0.141515i | −0.00459832 | − | 0.0171612i | ||||
\(69\) | −2.09773 | − | 1.52409i | −0.252537 | − | 0.183479i | ||||
\(70\) | 7.11426 | − | 3.77436i | 0.850316 | − | 0.451122i | ||||
\(71\) | −7.11767 | + | 5.17129i | −0.844711 | + | 0.613719i | −0.923683 | − | 0.383158i | \(-0.874836\pi\) |
0.0789713 | + | 0.996877i | \(0.474836\pi\) | |||||||
\(72\) | −5.83954 | − | 4.72877i | −0.688197 | − | 0.557291i | ||||
\(73\) | 0.270802 | + | 5.16722i | 0.0316950 | + | 0.604777i | 0.967594 | + | 0.252510i | \(0.0812559\pi\) |
−0.935899 | + | 0.352267i | \(0.885411\pi\) | |||||||
\(74\) | 3.57586 | − | 2.06452i | 0.415685 | − | 0.239996i | ||||
\(75\) | −2.00264 | − | 2.59086i | −0.231245 | − | 0.299166i | ||||
\(76\) | − | 0.657126i | − | 0.0753775i | ||||||
\(77\) | 1.72190 | − | 9.37833i | 0.196229 | − | 1.06876i | ||||
\(78\) | 6.03451 | + | 0.955772i | 0.683273 | + | 0.108220i | ||||
\(79\) | 0.994116 | − | 0.104486i | 0.111847 | − | 0.0117556i | −0.0484397 | − | 0.998826i | \(-0.515425\pi\) |
0.160286 | + | 0.987071i | \(0.448758\pi\) | |||||||
\(80\) | 0.768400 | + | 8.20314i | 0.0859098 | + | 0.917139i | ||||
\(81\) | 0.556474 | − | 5.29449i | 0.0618304 | − | 0.588277i | ||||
\(82\) | −7.91313 | + | 2.12032i | −0.873859 | + | 0.234150i | ||||
\(83\) | 13.6728 | − | 2.16555i | 1.50078 | − | 0.237700i | 0.648674 | − | 0.761067i | \(-0.275324\pi\) |
0.852108 | + | 0.523366i | \(0.175324\pi\) | |||||||
\(84\) | −0.121834 | − | 0.223496i | −0.0132932 | − | 0.0243854i | ||||
\(85\) | −2.22817 | + | 0.0914934i | −0.241679 | + | 0.00992386i | ||||
\(86\) | 5.81430 | + | 1.23587i | 0.626972 | + | 0.133267i | ||||
\(87\) | 3.78442 | + | 2.45763i | 0.405733 | + | 0.263486i | ||||
\(88\) | 8.83342 | + | 5.73649i | 0.941646 | + | 0.611512i | ||||
\(89\) | 1.68530 | + | 0.358221i | 0.178641 | + | 0.0379713i | 0.296364 | − | 0.955075i | \(-0.404226\pi\) |
−0.117722 | + | 0.993047i | \(0.537559\pi\) | |||||||
\(90\) | −6.13744 | + | 4.85600i | −0.646943 | + | 0.511867i | ||||
\(91\) | −15.4754 | − | 9.44769i | −1.62227 | − | 0.990387i | ||||
\(92\) | −0.574448 | + | 0.0909836i | −0.0598903 | + | 0.00948569i | ||||
\(93\) | 3.91687 | − | 1.04952i | 0.406161 | − | 0.108830i | ||||
\(94\) | 0.695962 | − | 6.62164i | 0.0717830 | − | 0.682970i | ||||
\(95\) | −9.75967 | − | 2.19024i | −1.00132 | − | 0.224714i | ||||
\(96\) | 0.540140 | − | 0.0567710i | 0.0551278 | − | 0.00579416i | ||||
\(97\) | −13.1356 | − | 2.08048i | −1.33372 | − | 0.211240i | −0.551464 | − | 0.834198i | \(-0.685931\pi\) |
−0.782255 | + | 0.622958i | \(0.785931\pi\) | |||||||
\(98\) | −1.02784 | − | 9.47340i | −0.103827 | − | 0.956958i | ||||
\(99\) | 9.26597i | 0.931265i | ||||||||
\(100\) | −0.728562 | − | 0.0932956i | −0.0728562 | − | 0.00932956i | ||||
\(101\) | 7.91198 | − | 4.56798i | 0.787271 | − | 0.454531i | −0.0517297 | − | 0.998661i | \(-0.516473\pi\) |
0.839001 | + | 0.544130i | \(0.183140\pi\) | |||||||
\(102\) | −0.0465338 | − | 0.887918i | −0.00460753 | − | 0.0879170i | ||||
\(103\) | 4.88605 | + | 3.95665i | 0.481437 | + | 0.389860i | 0.839088 | − | 0.543995i | \(-0.183089\pi\) |
−0.357651 | + | 0.933855i | \(0.616422\pi\) | |||||||
\(104\) | 16.2032 | − | 11.7723i | 1.58886 | − | 1.15437i | ||||
\(105\) | −3.72546 | + | 1.06456i | −0.363568 | + | 0.103891i | ||||
\(106\) | −9.72578 | − | 7.06619i | −0.944651 | − | 0.686329i | ||||
\(107\) | 1.77496 | + | 6.62424i | 0.171592 | + | 0.640389i | 0.997107 | + | 0.0760096i | \(0.0242180\pi\) |
−0.825515 | + | 0.564380i | \(0.809115\pi\) | |||||||
\(108\) | 0.337310 | + | 0.416544i | 0.0324577 | + | 0.0400819i | ||||
\(109\) | 2.66313 | + | 12.5291i | 0.255082 | + | 1.20007i | 0.900026 | + | 0.435836i | \(0.143547\pi\) |
−0.644944 | + | 0.764230i | \(0.723119\pi\) | |||||||
\(110\) | 7.84434 | − | 7.66871i | 0.747928 | − | 0.731183i | ||||
\(111\) | −1.88928 | + | 0.613866i | −0.179323 | + | 0.0582655i | ||||
\(112\) | 9.35176 | + | 2.75306i | 0.883658 | + | 0.260140i | ||||
\(113\) | 8.69911 | − | 4.43242i | 0.818343 | − | 0.416967i | 0.00588239 | − | 0.999983i | \(-0.498128\pi\) |
0.812461 | + | 0.583016i | \(0.198128\pi\) | |||||||
\(114\) | 0.829160 | − | 3.90089i | 0.0776579 | − | 0.365352i | ||||
\(115\) | −0.563379 | + | 8.83499i | −0.0525354 | + | 0.823867i | ||||
\(116\) | 0.990036 | − | 0.210439i | 0.0919225 | − | 0.0195387i | ||||
\(117\) | 16.4494 | + | 6.31432i | 1.52074 | + | 0.583759i | ||||
\(118\) | 2.66326 | − | 2.66326i | 0.245173 | − | 0.245173i | ||||
\(119\) | −0.876619 | + | 2.48875i | −0.0803595 | + | 0.228144i | ||||
\(120\) | 0.495532 | − | 4.25115i | 0.0452356 | − | 0.388075i | ||||
\(121\) | −0.207833 | − | 1.97740i | −0.0188939 | − | 0.179763i | ||||
\(122\) | 1.78616 | + | 4.65310i | 0.161711 | + | 0.421272i | ||||
\(123\) | 3.93595 | − | 0.206275i | 0.354893 | − | 0.0185992i | ||||
\(124\) | 0.454783 | − | 0.787707i | 0.0408407 | − | 0.0707381i | ||||
\(125\) | −3.81398 | + | 10.5097i | −0.341133 | + | 0.940015i | ||||
\(126\) | 2.64488 | + | 8.87429i | 0.235625 | + | 0.790584i | ||||
\(127\) | −4.29960 | − | 2.19076i | −0.381528 | − | 0.194398i | 0.252699 | − | 0.967545i | \(-0.418682\pi\) |
−0.634227 | + | 0.773147i | \(0.718682\pi\) | |||||||
\(128\) | −6.23644 | + | 7.70136i | −0.551229 | + | 0.680711i | ||||
\(129\) | −2.61255 | − | 1.16318i | −0.230022 | − | 0.102412i | ||||
\(130\) | −8.26829 | − | 19.1515i | −0.725177 | − | 1.67970i | ||||
\(131\) | 4.92756 | + | 11.0675i | 0.430523 | + | 0.966970i | 0.990379 | + | 0.138380i | \(0.0441895\pi\) |
−0.559857 | + | 0.828589i | \(0.689144\pi\) | |||||||
\(132\) | −0.245177 | − | 0.245177i | −0.0213399 | − | 0.0213399i | ||||
\(133\) | −6.68706 | + | 9.76478i | −0.579841 | + | 0.846714i | ||||
\(134\) | 18.2616 | + | 5.93355i | 1.57756 | + | 0.512581i | ||||
\(135\) | 7.31081 | − | 3.62139i | 0.629214 | − | 0.311679i | ||||
\(136\) | −2.16603 | − | 1.95030i | −0.185735 | − | 0.167237i | ||||
\(137\) | −3.19513 | + | 4.92007i | −0.272979 | + | 0.420350i | −0.948397 | − | 0.317084i | \(-0.897296\pi\) |
0.675419 | + | 0.737434i | \(0.263963\pi\) | |||||||
\(138\) | −3.52489 | − | 0.184732i | −0.300059 | − | 0.0157254i | ||||
\(139\) | 2.24141 | + | 6.89834i | 0.190114 | + | 0.585110i | 0.999999 | − | 0.00147871i | \(-0.000470689\pi\) |
−0.809885 | + | 0.586588i | \(0.800471\pi\) | |||||||
\(140\) | −0.422038 | + | 0.759733i | −0.0356687 | + | 0.0642091i | ||||
\(141\) | −0.989861 | + | 3.04648i | −0.0833614 | + | 0.256560i | ||||
\(142\) | −4.29199 | + | 11.1810i | −0.360175 | + | 0.938289i | ||||
\(143\) | −23.8562 | − | 6.39226i | −1.99496 | − | 0.534548i | ||||
\(144\) | −9.42153 | − | 0.990243i | −0.785127 | − | 0.0825202i | ||||
\(145\) | 0.174410 | − | 15.4055i | 0.0144839 | − | 1.27936i | ||||
\(146\) | 4.14019 | + | 5.69848i | 0.342644 | + | 0.471610i | ||||
\(147\) | −0.463908 | + | 4.56093i | −0.0382625 | + | 0.376179i | ||||
\(148\) | −0.202291 | + | 0.397018i | −0.0166282 | + | 0.0326347i | ||||
\(149\) | −9.32624 | − | 5.38451i | −0.764035 | − | 0.441116i | 0.0667075 | − | 0.997773i | \(-0.478751\pi\) |
−0.830743 | + | 0.556657i | \(0.812084\pi\) | |||||||
\(150\) | −4.20724 | − | 1.47313i | −0.343520 | − | 0.120280i | ||||
\(151\) | −0.720397 | − | 1.24776i | −0.0586251 | − | 0.101542i | 0.835223 | − | 0.549911i | \(-0.185338\pi\) |
−0.893848 | + | 0.448369i | \(0.852005\pi\) | |||||||
\(152\) | −7.12017 | − | 10.9641i | −0.577522 | − | 0.889305i | ||||
\(153\) | 0.401122 | − | 2.53258i | 0.0324288 | − | 0.204747i | ||||
\(154\) | −4.98733 | − | 11.9836i | −0.401891 | − | 0.965665i | ||||
\(155\) | −10.1832 | − | 9.37994i | −0.817938 | − | 0.753415i | ||||
\(156\) | −0.602326 | + | 0.268173i | −0.0482247 | + | 0.0214710i | ||||
\(157\) | −3.93818 | + | 14.6975i | −0.314301 | + | 1.17299i | 0.610338 | + | 0.792141i | \(0.291034\pi\) |
−0.924639 | + | 0.380846i | \(0.875633\pi\) | |||||||
\(158\) | 1.05749 | − | 0.856335i | 0.0841290 | − | 0.0681264i | ||||
\(159\) | 3.87007 | + | 4.29815i | 0.306916 | + | 0.340865i | ||||
\(160\) | −1.15058 | − | 1.45420i | −0.0909611 | − | 0.114965i | ||||
\(161\) | 9.46207 | + | 4.49371i | 0.745715 | + | 0.354154i | ||||
\(162\) | −3.29008 | − | 6.45714i | −0.258493 | − | 0.507321i | ||||
\(163\) | 0.797377 | − | 15.2149i | 0.0624554 | − | 1.19172i | −0.770154 | − | 0.637858i | \(-0.779821\pi\) |
0.832609 | − | 0.553861i | \(-0.186846\pi\) | |||||||
\(164\) | 0.591555 | − | 0.656988i | 0.0461926 | − | 0.0513021i | ||||
\(165\) | −4.45858 | + | 2.82419i | −0.347100 | + | 0.219863i | ||||
\(166\) | 14.0042 | − | 12.6095i | 1.08694 | − | 0.978684i | ||||
\(167\) | −0.913290 | − | 5.76628i | −0.0706725 | − | 0.446208i | −0.997497 | − | 0.0707130i | \(-0.977473\pi\) |
0.926824 | − | 0.375495i | \(-0.122527\pi\) | |||||||
\(168\) | −4.45445 | − | 2.40890i | −0.343668 | − | 0.185851i | ||||
\(169\) | −19.9635 | + | 27.4774i | −1.53566 | + | 2.11365i | ||||
\(170\) | −2.47600 | + | 1.75644i | −0.189901 | + | 0.134713i | ||||
\(171\) | 4.67787 | − | 10.5067i | 0.357726 | − | 0.803465i | ||||
\(172\) | −0.598859 | + | 0.229880i | −0.0456625 | + | 0.0175282i | ||||
\(173\) | 0.684310 | − | 0.444396i | 0.0520271 | − | 0.0337868i | −0.518363 | − | 0.855160i | \(-0.673459\pi\) |
0.570391 | + | 0.821374i | \(0.306792\pi\) | |||||||
\(174\) | 6.14267 | 0.465675 | ||||||||
\(175\) | 9.87692 | + | 8.80037i | 0.746625 | + | 0.665245i | ||||
\(176\) | 13.2791 | 1.00095 | ||||||||
\(177\) | −1.51971 | + | 0.986914i | −0.114229 | + | 0.0741810i | ||||
\(178\) | 2.18964 | − | 0.840524i | 0.164120 | − | 0.0630000i | ||||
\(179\) | −0.804216 | + | 1.80630i | −0.0601099 | + | 0.135009i | −0.941103 | − | 0.338120i | \(-0.890209\pi\) |
0.880993 | + | 0.473129i | \(0.156876\pi\) | |||||||
\(180\) | 0.270058 | − | 0.800214i | 0.0201290 | − | 0.0596445i | ||||
\(181\) | −4.55620 | + | 6.27107i | −0.338660 | + | 0.466125i | −0.944049 | − | 0.329804i | \(-0.893017\pi\) |
0.605390 | + | 0.795929i | \(0.293017\pi\) | |||||||
\(182\) | −24.6724 | + | 0.687487i | −1.82884 | + | 0.0509599i | ||||
\(183\) | −0.375115 | − | 2.36838i | −0.0277293 | − | 0.175076i | ||||
\(184\) | −8.59878 | + | 7.74238i | −0.633911 | + | 0.570776i | ||||
\(185\) | 5.22228 | + | 4.32772i | 0.383950 | + | 0.318180i | ||||
\(186\) | 3.69365 | − | 4.10221i | 0.270832 | − | 0.300789i | ||||
\(187\) | −0.188107 | + | 3.58930i | −0.0137558 | + | 0.262475i | ||||
\(188\) | 0.326195 | + | 0.640193i | 0.0237902 | + | 0.0466909i | ||||
\(189\) | −0.773535 | − | 9.62232i | −0.0562664 | − | 0.699920i | ||||
\(190\) | −12.7662 | + | 4.73537i | −0.926157 | + | 0.343540i | ||||
\(191\) | 0.859864 | + | 0.954975i | 0.0622175 | + | 0.0690996i | 0.773450 | − | 0.633857i | \(-0.218529\pi\) |
−0.711232 | + | 0.702957i | \(0.751863\pi\) | |||||||
\(192\) | 4.32529 | − | 3.50255i | 0.312151 | − | 0.252775i | ||||
\(193\) | 3.75206 | − | 14.0029i | 0.270080 | − | 1.00795i | −0.688988 | − | 0.724773i | \(-0.741945\pi\) |
0.959067 | − | 0.283178i | \(-0.0913886\pi\) | |||||||
\(194\) | −16.5390 | + | 7.36365i | −1.18743 | + | 0.528679i | ||||
\(195\) | 1.97532 | + | 9.83961i | 0.141456 | + | 0.704629i | ||||
\(196\) | 0.649818 | + | 0.796976i | 0.0464155 | + | 0.0569269i | ||||
\(197\) | 2.25387 | − | 14.2303i | 0.160581 | − | 1.01387i | −0.767380 | − | 0.641193i | \(-0.778440\pi\) |
0.927961 | − | 0.372677i | \(-0.121560\pi\) | |||||||
\(198\) | 6.86987 | + | 10.5787i | 0.488221 | + | 0.751794i | ||||
\(199\) | 1.05487 | + | 1.82709i | 0.0747779 | + | 0.129519i | 0.900990 | − | 0.433841i | \(-0.142842\pi\) |
−0.826212 | + | 0.563360i | \(0.809509\pi\) | |||||||
\(200\) | −13.1669 | + | 6.33757i | −0.931040 | + | 0.448134i | ||||
\(201\) | −8.00026 | − | 4.61895i | −0.564295 | − | 0.325796i | ||||
\(202\) | 5.64612 | − | 11.0811i | 0.397260 | − | 0.779667i | ||||
\(203\) | −16.8532 | − | 6.94774i | −1.18287 | − | 0.487636i | ||||
\(204\) | 0.0563984 | + | 0.0776257i | 0.00394868 | + | 0.00543489i | ||||
\(205\) | −7.78593 | − | 10.9756i | −0.543793 | − | 0.766568i | ||||
\(206\) | 8.51176 | + | 0.894622i | 0.593042 | + | 0.0623312i | ||||
\(207\) | −9.83243 | − | 2.63459i | −0.683401 | − | 0.183117i | ||||
\(208\) | 9.04906 | − | 23.5736i | 0.627440 | − | 1.63454i | ||||
\(209\) | −4.98171 | + | 15.3321i | −0.344592 | + | 1.06054i | ||||
\(210\) | −3.46397 | + | 3.97747i | −0.239037 | + | 0.274472i | ||||
\(211\) | −2.58367 | − | 7.95173i | −0.177867 | − | 0.547420i | 0.821885 | − | 0.569653i | \(-0.192922\pi\) |
−0.999753 | + | 0.0222332i | \(0.992922\pi\) | |||||||
\(212\) | 1.29554 | + | 0.0678963i | 0.0889780 | + | 0.00466314i | ||||
\(213\) | 3.13819 | − | 4.83239i | 0.215025 | − | 0.331110i | ||||
\(214\) | 6.93769 | + | 6.24672i | 0.474251 | + | 0.427017i | ||||
\(215\) | 1.41816 | + | 9.66049i | 0.0967177 | + | 0.658840i | ||||
\(216\) | 10.1414 | + | 3.29513i | 0.690034 | + | 0.224206i | ||||
\(217\) | −14.7739 | + | 7.07722i | −1.00292 | + | 0.480433i | ||||
\(218\) | 12.3296 | + | 12.3296i | 0.835064 | + | 0.835064i | ||||
\(219\) | −1.37834 | − | 3.09580i | −0.0931395 | − | 0.209195i | ||||
\(220\) | −0.259225 | + | 1.15510i | −0.0174770 | + | 0.0778768i | ||||
\(221\) | 6.24369 | + | 2.77987i | 0.419996 | + | 0.186994i | ||||
\(222\) | −1.70181 | + | 2.10156i | −0.114218 | + | 0.141048i | ||||
\(223\) | −9.17376 | − | 4.67427i | −0.614321 | − | 0.313012i | 0.119001 | − | 0.992894i | \(-0.462031\pi\) |
−0.733321 | + | 0.679882i | \(0.762031\pi\) | |||||||
\(224\) | −2.10267 | + | 0.626678i | −0.140491 | + | 0.0418717i | ||||
\(225\) | −10.9847 | − | 6.67809i | −0.732314 | − | 0.445206i | ||||
\(226\) | 6.64527 | − | 11.5100i | 0.442037 | − | 0.765631i | ||||
\(227\) | 5.22305 | − | 0.273729i | 0.346666 | − | 0.0181680i | 0.121791 | − | 0.992556i | \(-0.461136\pi\) |
0.224875 | + | 0.974388i | \(0.427803\pi\) | |||||||
\(228\) | 0.154230 | + | 0.401782i | 0.0102141 | + | 0.0266087i | ||||
\(229\) | 2.51902 | + | 23.9668i | 0.166461 | + | 1.58377i | 0.684886 | + | 0.728650i | \(0.259852\pi\) |
−0.518425 | + | 0.855123i | \(0.673482\pi\) | |||||||
\(230\) | 5.90715 | + | 10.5043i | 0.389506 | + | 0.692635i | ||||
\(231\) | 1.14831 | + | 6.13827i | 0.0755535 | + | 0.403868i | ||||
\(232\) | 14.2385 | − | 14.2385i | 0.934804 | − | 0.934804i | ||||
\(233\) | −9.52665 | − | 3.65694i | −0.624112 | − | 0.239574i | 0.0256996 | − | 0.999670i | \(-0.491819\pi\) |
−0.649811 | + | 0.760096i | \(0.725152\pi\) | |||||||
\(234\) | 23.4612 | − | 4.98684i | 1.53371 | − | 0.326000i | ||||
\(235\) | 10.5954 | − | 2.71086i | 0.691169 | − | 0.176837i | ||||
\(236\) | −0.0845060 | + | 0.397569i | −0.00550087 | + | 0.0258796i | ||||
\(237\) | −0.583303 | + | 0.297208i | −0.0378896 | + | 0.0193057i | ||||
\(238\) | 0.844376 | + | 3.49127i | 0.0547327 | + | 0.226305i | ||||
\(239\) | 27.2863 | − | 8.86585i | 1.76500 | − | 0.573484i | 0.767303 | − | 0.641284i | \(-0.221598\pi\) |
0.997699 | + | 0.0678002i | \(0.0215981\pi\) | |||||||
\(240\) | −2.39512 | − | 4.83525i | −0.154605 | − | 0.312114i | ||||
\(241\) | −1.68399 | − | 7.92256i | −0.108476 | − | 0.510337i | −0.998516 | − | 0.0544560i | \(-0.982658\pi\) |
0.890041 | − | 0.455881i | \(-0.150676\pi\) | |||||||
\(242\) | −1.70334 | − | 2.10344i | −0.109495 | − | 0.135214i | ||||
\(243\) | 3.73540 | + | 13.9407i | 0.239626 | + | 0.894296i | ||||
\(244\) | −0.435138 | − | 0.316147i | −0.0278569 | − | 0.0202392i | ||||
\(245\) | 14.0026 | − | 6.99475i | 0.894595 | − | 0.446878i | ||||
\(246\) | 4.34063 | − | 3.15365i | 0.276748 | − | 0.201069i | ||||
\(247\) | 23.8235 | + | 19.2919i | 1.51585 | + | 1.22751i | ||||
\(248\) | −0.947037 | − | 18.0705i | −0.0601369 | − | 1.14748i | ||||
\(249\) | −7.85159 | + | 4.53312i | −0.497574 | + | 0.287275i | ||||
\(250\) | 3.43767 | + | 14.8263i | 0.217418 | + | 0.937698i | ||||
\(251\) | 14.7687i | 0.932189i | 0.884735 | + | 0.466095i | \(0.154339\pi\) | ||||
−0.884735 | + | 0.466095i | \(0.845661\pi\) | |||||||
\(252\) | −0.760955 | − | 0.647713i | −0.0479357 | − | 0.0408021i | ||||
\(253\) | 14.0928 | + | 2.23208i | 0.886008 | + | 0.140330i | ||||
\(254\) | −6.53297 | + | 0.686643i | −0.409915 | + | 0.0430838i | ||||
\(255\) | 1.34088 | − | 0.578900i | 0.0839692 | − | 0.0362521i | ||||
\(256\) | 0.366494 | − | 3.48696i | 0.0229059 | − | 0.217935i | ||||
\(257\) | −7.28553 | + | 1.95215i | −0.454459 | + | 0.121772i | −0.478785 | − | 0.877932i | \(-0.658923\pi\) |
0.0243262 | + | 0.999704i | \(0.492256\pi\) | |||||||
\(258\) | −3.84506 | + | 0.608998i | −0.239383 | + | 0.0379146i | ||||
\(259\) | 7.04615 | − | 3.84106i | 0.437826 | − | 0.238672i | ||||
\(260\) | 1.87394 | + | 1.24733i | 0.116217 | + | 0.0773564i | ||||
\(261\) | 17.3276 | + | 3.68309i | 1.07255 | + | 0.227977i | ||||
\(262\) | 13.8312 | + | 8.98206i | 0.854492 | + | 0.554914i | ||||
\(263\) | −15.0468 | − | 9.77149i | −0.927824 | − | 0.602536i | −0.0101839 | − | 0.999948i | \(-0.503242\pi\) |
−0.917640 | + | 0.397412i | \(0.869908\pi\) | |||||||
\(264\) | −6.74733 | − | 1.43419i | −0.415270 | − | 0.0882683i | ||||
\(265\) | 5.32652 | − | 19.0151i | 0.327205 | − | 1.16809i | ||||
\(266\) | −0.394717 | + | 16.1060i | −0.0242016 | + | 0.987522i | ||||
\(267\) | −1.11451 | + | 0.176520i | −0.0682066 | + | 0.0108029i | ||||
\(268\) | −2.00150 | + | 0.536300i | −0.122261 | + | 0.0327598i | ||||
\(269\) | 1.70532 | − | 16.2250i | 0.103975 | − | 0.989256i | −0.810808 | − | 0.585312i | \(-0.800972\pi\) |
0.914783 | − | 0.403945i | \(-0.132361\pi\) | |||||||
\(270\) | 5.66160 | − | 9.55473i | 0.344554 | − | 0.581482i | ||||
\(271\) | 3.78363 | − | 0.397675i | 0.229839 | − | 0.0241571i | 0.0110912 | − | 0.999938i | \(-0.496469\pi\) |
0.218748 | + | 0.975781i | \(0.429803\pi\) | |||||||
\(272\) | −3.62945 | − | 0.574849i | −0.220068 | − | 0.0348553i | ||||
\(273\) | 11.6794 | + | 2.14440i | 0.706872 | + | 0.129785i | ||||
\(274\) | 7.98600i | 0.482452i | ||||||||
\(275\) | 16.2916 | + | 7.70005i | 0.982421 | + | 0.464331i | ||||
\(276\) | 0.329877 | − | 0.190454i | 0.0198562 | − | 0.0114640i | ||||
\(277\) | −0.351480 | − | 6.70663i | −0.0211184 | − | 0.402962i | −0.988652 | − | 0.150222i | \(-0.952001\pi\) |
0.967534 | − | 0.252741i | \(-0.0813320\pi\) | |||||||
\(278\) | 7.67344 | + | 6.21383i | 0.460222 | + | 0.372681i | ||||
\(279\) | 12.8789 | − | 9.35705i | 0.771038 | − | 0.560192i | ||||
\(280\) | 1.19028 | + | 17.2490i | 0.0711328 | + | 1.03082i | ||||
\(281\) | −2.64391 | − | 1.92091i | −0.157723 | − | 0.114592i | 0.506125 | − | 0.862460i | \(-0.331078\pi\) |
−0.663847 | + | 0.747868i | \(0.731078\pi\) | |||||||
\(282\) | 1.12859 | + | 4.21197i | 0.0672067 | + | 0.250819i | ||||
\(283\) | 3.13688 | + | 3.87373i | 0.186468 | + | 0.230269i | 0.861804 | − | 0.507241i | \(-0.169335\pi\) |
−0.675336 | + | 0.737510i | \(0.736001\pi\) | |||||||
\(284\) | −0.268712 | − | 1.26419i | −0.0159451 | − | 0.0750160i | ||||
\(285\) | 6.48135 | − | 0.951462i | 0.383922 | − | 0.0563597i | ||||
\(286\) | −31.9752 | + | 10.3894i | −1.89074 | + | 0.614337i | ||||
\(287\) | −15.4761 | + | 3.74294i | −0.913523 | + | 0.220939i | ||||
\(288\) | 1.89975 | − | 0.967973i | 0.111944 | − | 0.0570383i | ||||
\(289\) | −3.32771 | + | 15.6556i | −0.195747 | + | 0.920919i | ||||
\(290\) | −11.2226 | − | 17.7173i | −0.659016 | − | 1.04039i | ||||
\(291\) | 8.51972 | − | 1.81092i | 0.499435 | − | 0.106158i | ||||
\(292\) | −0.709631 | − | 0.272402i | −0.0415280 | − | 0.0159411i | ||||
\(293\) | 10.3729 | − | 10.3729i | 0.605994 | − | 0.605994i | −0.335903 | − | 0.941897i | \(-0.609041\pi\) |
0.941897 | + | 0.335903i | \(0.109041\pi\) | |||||||
\(294\) | 2.85188 | + | 5.55102i | 0.166325 | + | 0.323742i | ||||
\(295\) | 5.62306 | + | 2.58021i | 0.327387 | + | 0.150226i | ||||
\(296\) | 0.926609 | + | 8.81610i | 0.0538581 | + | 0.512425i | ||||
\(297\) | −4.71232 | − | 12.2760i | −0.273436 | − | 0.712326i | ||||
\(298\) | −14.6396 | + | 0.767229i | −0.848050 | + | 0.0444444i | ||||
\(299\) | 13.5661 | − | 23.4971i | 0.784547 | − | 1.35887i | ||||
\(300\) | 0.467357 | − | 0.113953i | 0.0269829 | − | 0.00657908i | ||||
\(301\) | 11.2383 | + | 2.67814i | 0.647762 | + | 0.154365i | ||||
\(302\) | −1.74756 | − | 0.890426i | −0.100561 | − | 0.0512383i | ||||
\(303\) | −3.76545 | + | 4.64994i | −0.216319 | + | 0.267132i | ||||
\(304\) | −15.0571 | − | 6.70387i | −0.863586 | − | 0.384493i | ||||
\(305\) | −6.14577 | + | 5.40896i | −0.351906 | + | 0.309716i | ||||
\(306\) | −1.41973 | − | 3.18877i | −0.0811607 | − | 0.182290i | ||||
\(307\) | −3.13382 | − | 3.13382i | −0.178857 | − | 0.178857i | 0.612001 | − | 0.790857i | \(-0.290365\pi\) |
−0.790857 | + | 0.612001i | \(0.790365\pi\) | |||||||
\(308\) | 1.15571 | + | 0.791443i | 0.0658524 | + | 0.0450967i | ||||
\(309\) | −3.91609 | − | 1.27241i | −0.222778 | − | 0.0723851i | ||||
\(310\) | −18.5803 | − | 3.15884i | −1.05529 | − | 0.179410i | ||||
\(311\) | −3.89120 | − | 3.50365i | −0.220650 | − | 0.198674i | 0.551391 | − | 0.834247i | \(-0.314097\pi\) |
−0.772041 | + | 0.635573i | \(0.780764\pi\) | |||||||
\(312\) | −7.14402 | + | 11.0008i | −0.404451 | + | 0.622799i | ||||
\(313\) | −8.00050 | − | 0.419289i | −0.452215 | − | 0.0236996i | −0.175131 | − | 0.984545i | \(-0.556035\pi\) |
−0.277084 | + | 0.960846i | \(0.589368\pi\) | |||||||
\(314\) | 6.40075 | + | 19.6995i | 0.361215 | + | 1.11171i | ||||
\(315\) | −12.1562 | + | 9.14288i | −0.684923 | + | 0.515143i | ||||
\(316\) | −0.0453768 | + | 0.139655i | −0.00255264 | + | 0.00785623i | ||||
\(317\) | 2.27684 | − | 5.93137i | 0.127880 | − | 0.333139i | −0.854661 | − | 0.519187i | \(-0.826235\pi\) |
0.982541 | + | 0.186048i | \(0.0595681\pi\) | |||||||
\(318\) | 7.60503 | + | 2.03776i | 0.426469 | + | 0.114272i | ||||
\(319\) | −24.6950 | − | 2.59554i | −1.38265 | − | 0.145323i | ||||
\(320\) | −18.0047 | − | 6.07627i | −1.00649 | − | 0.339674i | ||||
\(321\) | −2.63998 | − | 3.63363i | −0.147350 | − | 0.202809i | ||||
\(322\) | 14.1342 | − | 1.88493i | 0.787670 | − | 0.105043i | ||||
\(323\) | 2.02533 | − | 3.97493i | 0.112692 | − | 0.221171i | ||||
\(324\) | 0.677282 | + | 0.391029i | 0.0376268 | + | 0.0217238i | ||||
\(325\) | 24.7714 | − | 23.6744i | 1.37407 | − | 1.31322i | ||||
\(326\) | −10.3701 | − | 17.9615i | −0.574346 | − | 0.994797i | ||||
\(327\) | −4.56892 | − | 7.03551i | −0.252662 | − | 0.389065i | ||||
\(328\) | 2.75137 | − | 17.3715i | 0.151919 | − | 0.959179i | ||||
\(329\) | 1.66755 | − | 12.8326i | 0.0919350 | − | 0.707484i | ||||
\(330\) | −2.99634 | + | 6.52992i | −0.164943 | + | 0.359460i | ||||
\(331\) | 19.1995 | − | 8.54815i | 1.05530 | − | 0.469849i | 0.195617 | − | 0.980680i | \(-0.437329\pi\) |
0.859681 | + | 0.510831i | \(0.170662\pi\) | |||||||
\(332\) | −0.526334 | + | 1.96430i | −0.0288863 | + | 0.107805i | ||||
\(333\) | −6.06063 | + | 4.90780i | −0.332121 | + | 0.268946i | ||||
\(334\) | −5.31785 | − | 5.90607i | −0.290980 | − | 0.323166i | ||||
\(335\) | 1.29403 | + | 31.5139i | 0.0707004 | + | 1.72179i | ||||
\(336\) | −6.36404 | + | 0.511603i | −0.347187 | + | 0.0279102i | ||||
\(337\) | 4.24522 | + | 8.33171i | 0.231252 | + | 0.453857i | 0.977250 | − | 0.212091i | \(-0.0680273\pi\) |
−0.745998 | + | 0.665948i | \(0.768027\pi\) | |||||||
\(338\) | −2.41973 | + | 46.1713i | −0.131616 | + | 2.51139i | ||||
\(339\) | −4.27853 | + | 4.75179i | −0.232378 | + | 0.258082i | ||||
\(340\) | 0.120856 | − | 0.304491i | 0.00655432 | − | 0.0165134i | ||||
\(341\) | −16.5827 | + | 14.9311i | −0.898002 | + | 0.808565i | ||||
\(342\) | −2.44916 | − | 15.4634i | −0.132435 | − | 0.836163i | ||||
\(343\) | −1.54598 | − | 18.4556i | −0.0834748 | − | 0.996510i | ||||
\(344\) | −7.50109 | + | 10.3244i | −0.404432 | + | 0.556652i | ||||
\(345\) | −1.72914 | − | 5.53414i | −0.0930937 | − | 0.297948i | ||||
\(346\) | 0.451777 | − | 1.01471i | 0.0242877 | − | 0.0545510i | ||||
\(347\) | 17.0193 | − | 6.53308i | 0.913642 | − | 0.350714i | 0.144287 | − | 0.989536i | \(-0.453911\pi\) |
0.769355 | + | 0.638822i | \(0.220578\pi\) | |||||||
\(348\) | −0.555940 | + | 0.361032i | −0.0298015 | + | 0.0193533i | ||||
\(349\) | 20.7570 | 1.11110 | 0.555548 | − | 0.831484i | \(-0.312509\pi\) | ||||
0.555548 | + | 0.831484i | \(0.312509\pi\) | |||||||
\(350\) | 17.8009 | + | 2.72428i | 0.951496 | + | 0.145619i | ||||
\(351\) | −25.0041 | −1.33462 | ||||||||
\(352\) | −2.50651 | + | 1.62774i | −0.133597 | + | 0.0867591i | ||||
\(353\) | −17.5087 | + | 6.72096i | −0.931894 | + | 0.357720i | −0.776489 | − | 0.630130i | \(-0.783001\pi\) |
−0.155404 | + | 0.987851i | \(0.549668\pi\) | |||||||
\(354\) | −1.00330 | + | 2.25346i | −0.0533250 | + | 0.119770i | ||||
\(355\) | −19.6715 | − | 0.222706i | −1.04405 | − | 0.0118200i | ||||
\(356\) | −0.148771 | + | 0.204766i | −0.00788486 | + | 0.0108526i | ||||
\(357\) | −0.0481340 | − | 1.72743i | −0.00254752 | − | 0.0914252i | ||||
\(358\) | 0.421057 | + | 2.65845i | 0.0222535 | + | 0.140503i | ||||
\(359\) | 1.67477 | − | 1.50797i | 0.0883910 | − | 0.0795876i | −0.623751 | − | 0.781623i | \(-0.714392\pi\) |
0.712142 | + | 0.702036i | \(0.247725\pi\) | |||||||
\(360\) | −4.16468 | − | 16.2777i | −0.219498 | − | 0.857909i | ||||
\(361\) | 0.675597 | − | 0.750327i | 0.0355577 | − | 0.0394909i | ||||
\(362\) | −0.552247 | + | 10.5375i | −0.0290255 | + | 0.553839i | ||||
\(363\) | 0.591175 | + | 1.16025i | 0.0310287 | + | 0.0608972i | ||||
\(364\) | 2.19256 | − | 1.51233i | 0.114922 | − | 0.0792675i | ||||
\(365\) | −6.41098 | + | 9.63155i | −0.335566 | + | 0.504138i | ||||
\(366\) | −2.18420 | − | 2.42580i | −0.114170 | − | 0.126798i | ||||
\(367\) | 7.57479 | − | 6.13394i | 0.395401 | − | 0.320189i | −0.410916 | − | 0.911673i | \(-0.634791\pi\) |
0.806317 | + | 0.591484i | \(0.201458\pi\) | |||||||
\(368\) | −3.77564 | + | 14.0909i | −0.196819 | + | 0.734538i | ||||
\(369\) | 14.1351 | − | 6.29337i | 0.735846 | − | 0.327620i | ||||
\(370\) | 9.17074 | + | 1.06898i | 0.476764 | + | 0.0555736i | ||||
\(371\) | −18.5606 | − | 14.1926i | −0.963617 | − | 0.736844i | ||||
\(372\) | −0.0931873 | + | 0.588361i | −0.00483153 | + | 0.0305051i | ||||
\(373\) | −1.30327 | − | 2.00686i | −0.0674806 | − | 0.103911i | 0.803319 | − | 0.595548i | \(-0.203065\pi\) |
−0.870800 | + | 0.491637i | \(0.836399\pi\) | |||||||
\(374\) | 2.44638 | + | 4.23726i | 0.126499 | + | 0.219103i | ||||
\(375\) | −0.134704 | − | 7.32102i | −0.00695608 | − | 0.378056i | ||||
\(376\) | 12.3792 | + | 7.14715i | 0.638410 | + | 0.368586i | ||||
\(377\) | −21.4362 | + | 42.0708i | −1.10402 | + | 2.16676i | ||||
\(378\) | −8.01719 | − | 10.4120i | −0.412360 | − | 0.535536i | ||||
\(379\) | −15.4544 | − | 21.2711i | −0.793838 | − | 1.09262i | −0.993620 | − | 0.112784i | \(-0.964023\pi\) |
0.199781 | − | 0.979841i | \(-0.435977\pi\) | |||||||
\(380\) | 0.877080 | − | 1.17890i | 0.0449933 | − | 0.0604762i | ||||
\(381\) | 3.14306 | + | 0.330349i | 0.161024 | + | 0.0169243i | ||||
\(382\) | 1.68971 | + | 0.452756i | 0.0864530 | + | 0.0231650i | ||||
\(383\) | −0.244212 | + | 0.636193i | −0.0124786 | + | 0.0325080i | −0.939678 | − | 0.342060i | \(-0.888876\pi\) |
0.927200 | + | 0.374568i | \(0.122209\pi\) | |||||||
\(384\) | 2.00557 | − | 6.17251i | 0.102346 | − | 0.314989i | ||||
\(385\) | 15.6066 | − | 14.5267i | 0.795386 | − | 0.740347i | ||||
\(386\) | −6.09826 | − | 18.7685i | −0.310393 | − | 0.955291i | ||||
\(387\) | −11.2115 | − | 0.587569i | −0.569912 | − | 0.0298678i | ||||
\(388\) | 1.06406 | − | 1.63852i | 0.0540197 | − | 0.0831830i | ||||
\(389\) | −19.7995 | − | 17.8275i | −1.00387 | − | 0.903892i | −0.00849924 | − | 0.999964i | \(-0.502705\pi\) |
−0.995374 | + | 0.0960720i | \(0.969372\pi\) | |||||||
\(390\) | 9.55035 | + | 9.76907i | 0.483601 | + | 0.494676i | ||||
\(391\) | −3.75524 | − | 1.22015i | −0.189911 | − | 0.0617057i | ||||
\(392\) | 19.4776 | + | 6.25651i | 0.983770 | + | 0.316001i | ||||
\(393\) | −5.61040 | − | 5.61040i | −0.283007 | − | 0.283007i | ||||
\(394\) | −7.97734 | − | 17.9174i | −0.401892 | − | 0.902665i | ||||
\(395\) | 1.92293 | + | 1.13942i | 0.0967529 | + | 0.0573304i | ||||
\(396\) | −1.24351 | − | 0.553647i | −0.0624888 | − | 0.0278218i | ||||
\(397\) | 21.1837 | − | 26.1597i | 1.06318 | − | 1.31292i | 0.115636 | − | 0.993292i | \(-0.463109\pi\) |
0.947544 | − | 0.319626i | \(-0.103557\pi\) | |||||||
\(398\) | 2.55894 | + | 1.30384i | 0.128268 | + | 0.0653558i | ||||
\(399\) | 1.79680 | − | 7.53989i | 0.0899523 | − | 0.377467i | ||||
\(400\) | −9.57039 | + | 15.7422i | −0.478519 | + | 0.787111i | ||||
\(401\) | −15.1960 | + | 26.3202i | −0.758852 | + | 1.31437i | 0.184585 | + | 0.982817i | \(0.440906\pi\) |
−0.943436 | + | 0.331553i | \(0.892427\pi\) | |||||||
\(402\) | −12.5582 | + | 0.658147i | −0.626346 | + | 0.0328254i | ||||
\(403\) | 15.2061 | + | 39.6132i | 0.757468 | + | 1.97327i | ||||
\(404\) | 0.140287 | + | 1.33474i | 0.00697954 | + | 0.0664059i | ||||
\(405\) | 8.06501 | − | 8.75570i | 0.400753 | − | 0.435074i | ||||
\(406\) | −24.3920 | + | 4.56312i | −1.21055 | + | 0.226464i | ||||
\(407\) | 7.72968 | − | 7.72968i | 0.383146 | − | 0.383146i | ||||
\(408\) | 1.78210 | + | 0.684085i | 0.0882272 | + | 0.0338672i | ||||
\(409\) | −19.2259 | + | 4.08660i | −0.950661 | + | 0.202069i | −0.657043 | − | 0.753853i | \(-0.728193\pi\) |
−0.293618 | + | 0.955923i | \(0.594859\pi\) | |||||||
\(410\) | −17.0264 | − | 6.75794i | −0.840872 | − | 0.333751i | ||||
\(411\) | 0.798821 | − | 3.75816i | 0.0394029 | − | 0.185376i | ||||
\(412\) | −0.822934 | + | 0.419306i | −0.0405431 | + | 0.0206577i | ||||
\(413\) | 5.30150 | − | 5.04786i | 0.260870 | − | 0.248389i | ||||
\(414\) | −13.1787 | + | 4.28202i | −0.647697 | + | 0.210450i | ||||
\(415\) | 27.4197 | + | 14.3643i | 1.34598 | + | 0.705116i | ||||
\(416\) | 1.18158 | + | 5.55889i | 0.0579317 | + | 0.272547i | ||||
\(417\) | −2.98951 | − | 3.69174i | −0.146397 | − | 0.180785i | ||||
\(418\) | 5.67991 | + | 21.1977i | 0.277813 | + | 1.03681i | ||||
\(419\) | −18.2082 | − | 13.2290i | −0.889527 | − | 0.646280i | 0.0462273 | − | 0.998931i | \(-0.485280\pi\) |
−0.935755 | + | 0.352651i | \(0.885280\pi\) | |||||||
\(420\) | 0.0797318 | − | 0.563572i | 0.00389051 | − | 0.0274995i | ||||
\(421\) | −6.80767 | + | 4.94606i | −0.331786 | + | 0.241056i | −0.741188 | − | 0.671298i | \(-0.765737\pi\) |
0.409402 | + | 0.912354i | \(0.365737\pi\) | |||||||
\(422\) | −8.84519 | − | 7.16269i | −0.430577 | − | 0.348674i | ||||
\(423\) | 0.658138 | + | 12.5580i | 0.0319997 | + | 0.610592i | ||||
\(424\) | 22.3516 | − | 12.9047i | 1.08549 | − | 0.626709i | ||||
\(425\) | −4.11950 | − | 2.80985i | −0.199825 | − | 0.136298i | ||||
\(426\) | − | 7.84367i | − | 0.380027i | ||||||
\(427\) | 3.24891 | + | 9.12595i | 0.157226 | + | 0.441636i | ||||
\(428\) | −0.995040 | − | 0.157599i | −0.0480971 | − | 0.00761783i | ||||
\(429\) | 16.0866 | − | 1.69076i | 0.776666 | − | 0.0816309i | ||||
\(430\) | 8.78145 | + | 9.97766i | 0.423479 | + | 0.481165i | ||||
\(431\) | 0.925623 | − | 8.80672i | 0.0445857 | − | 0.424205i | −0.949348 | − | 0.314226i | \(-0.898255\pi\) |
0.993934 | − | 0.109979i | \(-0.0350783\pi\) | |||||||
\(432\) | 12.9857 | − | 3.47951i | 0.624775 | − | 0.167408i | ||||
\(433\) | 6.72335 | − | 1.06487i | 0.323104 | − | 0.0511746i | 0.00722408 | − | 0.999974i | \(-0.497700\pi\) |
0.315879 | + | 0.948799i | \(0.397700\pi\) | |||||||
\(434\) | −11.6198 | + | 19.0333i | −0.557767 | + | 0.913629i | ||||
\(435\) | 3.50908 | + | 9.46020i | 0.168248 | + | 0.453582i | ||||
\(436\) | −1.84055 | − | 0.391220i | −0.0881462 | − | 0.0187361i | ||||
\(437\) | −14.8530 | − | 9.64563i | −0.710514 | − | 0.461413i | ||||
\(438\) | −3.86886 | − | 2.51247i | −0.184861 | − | 0.120050i | ||||
\(439\) | 8.81850 | + | 1.87443i | 0.420884 | + | 0.0894617i | 0.413485 | − | 0.910511i | \(-0.364311\pi\) |
0.00739919 | + | 0.999973i | \(0.497645\pi\) | |||||||
\(440\) | 8.19073 | + | 22.0816i | 0.390478 | + | 1.05270i | ||||
\(441\) | 4.71640 | + | 17.3686i | 0.224590 | + | 0.827074i | ||||
\(442\) | 9.18926 | − | 1.45544i | 0.437089 | − | 0.0692280i | ||||
\(443\) | −11.2474 | + | 3.01374i | −0.534382 | + | 0.143187i | −0.515911 | − | 0.856642i | \(-0.672546\pi\) |
−0.0184709 | + | 0.999829i | \(0.505880\pi\) | |||||||
\(444\) | 0.0305038 | − | 0.290224i | 0.00144765 | − | 0.0137734i | ||||
\(445\) | 2.54533 | + | 2.89206i | 0.120660 | + | 0.137097i | ||||
\(446\) | −13.9390 | + | 1.46504i | −0.660029 | + | 0.0693718i | ||||
\(447\) | 6.96604 | + | 1.10331i | 0.329482 | + | 0.0521849i | ||||
\(448\) | −14.5734 | + | 17.1214i | −0.688530 | + | 0.808909i | ||||
\(449\) | 6.67674i | 0.315095i | 0.987511 | + | 0.157547i | \(0.0503587\pi\) | ||||
−0.987511 | + | 0.157547i | \(0.949641\pi\) | |||||||
\(450\) | −17.4921 | + | 0.519989i | −0.824586 | + | 0.0245125i | ||||
\(451\) | −18.7829 | + | 10.8443i | −0.884451 | + | 0.510638i | ||||
\(452\) | 0.0750624 | + | 1.43228i | 0.00353064 | + | 0.0673686i | ||||
\(453\) | 0.733323 | + | 0.593833i | 0.0344545 | + | 0.0279007i | ||||
\(454\) | 5.76006 | − | 4.18493i | 0.270333 | − | 0.196408i | ||||
\(455\) | −15.1532 | − | 37.6048i | −0.710394 | − | 1.76294i | ||||
\(456\) | 6.92675 | + | 5.03258i | 0.324375 | + | 0.235672i | ||||
\(457\) | 1.47604 | + | 5.50864i | 0.0690461 | + | 0.257684i | 0.991817 | − | 0.127664i | \(-0.0407481\pi\) |
−0.922771 | + | 0.385348i | \(0.874081\pi\) | |||||||
\(458\) | 20.6451 | + | 25.4946i | 0.964683 | + | 1.19128i | ||||
\(459\) | 0.756550 | + | 3.55929i | 0.0353127 | + | 0.166133i | ||||
\(460\) | −1.15201 | − | 0.603502i | −0.0537127 | − | 0.0281384i | ||||
\(461\) | 6.41686 | − | 2.08497i | 0.298863 | − | 0.0971065i | −0.155747 | − | 0.987797i | \(-0.549779\pi\) |
0.454610 | + | 0.890690i | \(0.349779\pi\) | |||||||
\(462\) | 5.86196 | + | 6.15650i | 0.272723 | + | 0.286426i | ||||
\(463\) | 37.8440 | − | 19.2825i | 1.75876 | − | 0.896133i | 0.806280 | − | 0.591534i | \(-0.201477\pi\) |
0.952481 | − | 0.304599i | \(-0.0985226\pi\) | |||||||
\(464\) | 5.27824 | − | 24.8322i | 0.245036 | − | 1.15280i | ||||
\(465\) | 8.42778 | + | 3.34507i | 0.390829 | + | 0.155124i | ||||
\(466\) | −13.5876 | + | 2.88813i | −0.629432 | + | 0.133790i | ||||
\(467\) | 3.34657 | + | 1.28463i | 0.154861 | + | 0.0594454i | 0.434564 | − | 0.900641i | \(-0.356903\pi\) |
−0.279703 | + | 0.960087i | \(0.590236\pi\) | |||||||
\(468\) | −1.83025 | + | 1.83025i | −0.0846034 | + | 0.0846034i | ||||
\(469\) | 35.1995 | + | 12.3984i | 1.62536 | + | 0.572504i | ||||
\(470\) | 10.0866 | − | 10.9504i | 0.465261 | − | 0.505106i | ||||
\(471\) | −1.04166 | − | 9.91069i | −0.0479970 | − | 0.456661i | ||||
\(472\) | 2.89781 | + | 7.54907i | 0.133383 | + | 0.347474i | ||||
\(473\) | 15.7154 | − | 0.823607i | 0.722593 | − | 0.0378695i | ||||
\(474\) | −0.445587 | + | 0.771779i | −0.0204665 | + | 0.0354490i | ||||
\(475\) | −14.5857 | − | 16.9558i | −0.669238 | − | 0.777985i | ||||
\(476\) | −0.281617 | − | 0.266348i | −0.0129079 | − | 0.0122081i | ||||
\(477\) | 20.2308 | + | 10.3081i | 0.926305 | + | 0.471976i | ||||
\(478\) | 24.5787 | − | 30.3522i | 1.12420 | − | 1.38828i | ||||
\(479\) | 19.8540 | + | 8.83955i | 0.907151 | + | 0.403890i | 0.806638 | − | 0.591046i | \(-0.201285\pi\) |
0.100513 | + | 0.994936i | \(0.467952\pi\) | |||||||
\(480\) | 1.04480 | + | 0.619088i | 0.0476882 | + | 0.0282574i | ||||
\(481\) | −8.45466 | − | 18.9895i | −0.385499 | − | 0.865846i | ||||
\(482\) | −7.79642 | − | 7.79642i | −0.355117 | − | 0.355117i | ||||
\(483\) | −6.84002 | − | 0.526778i | −0.311232 | − | 0.0239692i | ||||
\(484\) | 0.277788 | + | 0.0902589i | 0.0126267 | + | 0.00410268i | ||||
\(485\) | −20.7887 | − | 21.2648i | −0.943967 | − | 0.965586i | ||||
\(486\) | 14.6003 | + | 13.1462i | 0.662285 | + | 0.596324i | ||||
\(487\) | 6.59115 | − | 10.1495i | 0.298674 | − | 0.459917i | −0.657191 | − | 0.753724i | \(-0.728256\pi\) |
0.955865 | + | 0.293807i | \(0.0949223\pi\) | |||||||
\(488\) | −10.6858 | − | 0.560019i | −0.483724 | − | 0.0253509i | ||||
\(489\) | 3.08344 | + | 9.48987i | 0.139438 | + | 0.429147i | ||||
\(490\) | 10.8004 | − | 18.3674i | 0.487912 | − | 0.829753i | ||||
\(491\) | 9.93766 | − | 30.5850i | 0.448480 | − | 1.38028i | −0.430142 | − | 0.902761i | \(-0.641536\pi\) |
0.878622 | − | 0.477518i | \(-0.158464\pi\) | |||||||
\(492\) | −0.207493 | + | 0.540538i | −0.00935451 | + | 0.0243693i | ||||
\(493\) | 6.63729 | + | 1.77846i | 0.298929 | + | 0.0800977i | ||||
\(494\) | 41.5017 | + | 4.36200i | 1.86725 | + | 0.196256i | ||||
\(495\) | −12.3675 | + | 16.6234i | −0.555878 | + | 0.747164i | ||||
\(496\) | −13.4096 | − | 18.4567i | −0.602109 | − | 0.828732i | ||||
\(497\) | −8.87168 | + | 21.5202i | −0.397949 | + | 0.965311i | ||||
\(498\) | −5.60303 | + | 10.9966i | −0.251078 | + | 0.492768i | ||||
\(499\) | −34.5237 | − | 19.9323i | −1.54549 | − | 0.892292i | −0.998477 | − | 0.0551705i | \(-0.982430\pi\) |
−0.547018 | − | 0.837121i | \(-0.684237\pi\) | |||||||
\(500\) | −1.18253 | − | 1.13980i | −0.0528845 | − | 0.0509735i | ||||
\(501\) | 1.91177 | + | 3.31129i | 0.0854117 | + | 0.147937i | ||||
\(502\) | 10.9496 | + | 16.8609i | 0.488705 | + | 0.752540i | ||||
\(503\) | −1.52863 | + | 9.65138i | −0.0681582 | + | 0.430334i | 0.929887 | + | 0.367844i | \(0.119904\pi\) |
−0.998046 | + | 0.0624896i | \(0.980096\pi\) | |||||||
\(504\) | −19.7147 | − | 2.56185i | −0.878161 | − | 0.114114i | ||||
\(505\) | 20.2913 | + | 2.36523i | 0.902949 | + | 0.105252i | ||||
\(506\) | 17.7442 | − | 7.90024i | 0.788827 | − | 0.351209i | ||||
\(507\) | 5.75712 | − | 21.4858i | 0.255682 | − | 0.954220i | ||||
\(508\) | 0.550907 | − | 0.446116i | 0.0244426 | − | 0.0197932i | ||||
\(509\) | −14.2195 | − | 15.7923i | −0.630267 | − | 0.699982i | 0.340435 | − | 0.940268i | \(-0.389426\pi\) |
−0.970702 | + | 0.240286i | \(0.922759\pi\) | |||||||
\(510\) | 1.10164 | − | 1.65505i | 0.0487815 | − | 0.0732871i | ||||
\(511\) | 7.77298 | + | 11.2692i | 0.343856 | + | 0.498520i | ||||
\(512\) | −11.1648 | − | 21.9121i | −0.493417 | − | 0.968386i | ||||
\(513\) | −0.854180 | + | 16.2987i | −0.0377130 | + | 0.719606i | ||||
\(514\) | −6.87032 | + | 7.63027i | −0.303037 | + | 0.336557i | ||||
\(515\) | 3.48466 | + | 13.6198i | 0.153553 | + | 0.600162i | ||||
\(516\) | 0.312203 | − | 0.281108i | 0.0137439 | − | 0.0123751i | ||||
\(517\) | −2.75747 | − | 17.4100i | −0.121273 | − | 0.765689i | ||||
\(518\) | 5.19658 | − | 9.60931i | 0.228324 | − | 0.422209i | ||||
\(519\) | −0.314102 | + | 0.432324i | −0.0137875 | + | 0.0189769i | ||||
\(520\) | 44.7817 | + | 0.506986i | 1.96381 | + | 0.0222328i | ||||
\(521\) | −10.5610 | + | 23.7205i | −0.462687 | + | 1.03921i | 0.520038 | + | 0.854143i | \(0.325918\pi\) |
−0.982725 | + | 0.185070i | \(0.940749\pi\) | |||||||
\(522\) | 22.5130 | − | 8.64194i | 0.985368 | − | 0.378247i | ||||
\(523\) | −36.3013 | + | 23.5744i | −1.58735 | + | 1.03084i | −0.617672 | + | 0.786436i | \(0.711924\pi\) |
−0.969675 | + | 0.244399i | \(0.921409\pi\) | |||||||
\(524\) | −1.77970 | −0.0777466 | ||||||||
\(525\) | −8.10446 | − | 3.06261i | −0.353707 | − | 0.133663i | ||||
\(526\) | −24.4231 | −1.06490 | ||||||||
\(527\) | 5.17876 | − | 3.36313i | 0.225590 | − | 0.146500i | ||||
\(528\) | −8.11914 | + | 3.11665i | −0.353340 | + | 0.135635i | ||||
\(529\) | 2.97940 | − | 6.69184i | 0.129539 | − | 0.290949i | ||||
\(530\) | −8.01686 | − | 25.6581i | −0.348230 | − | 1.11452i | ||||
\(531\) | −4.18132 | + | 5.75510i | −0.181454 | + | 0.249750i | ||||
\(532\) | −0.910897 | − | 1.48087i | −0.0394924 | − | 0.0642037i | ||||
\(533\) | 6.45164 | + | 40.7341i | 0.279452 | + | 1.76439i | ||||
\(534\) | −1.14152 | + | 1.02783i | −0.0493986 | + | 0.0444787i | ||||
\(535\) | −5.65721 | + | 14.2531i | −0.244582 | + | 0.616216i | ||||
\(536\) | −27.5839 | + | 30.6350i | −1.19144 | + | 1.32323i | ||||
\(537\) | 0.0677719 | − | 1.29316i | 0.00292457 | − | 0.0558042i | ||||
\(538\) | −10.0825 | − | 19.7879i | −0.434686 | − | 0.853119i | ||||
\(539\) | −9.11968 | − | 23.5214i | −0.392813 | − | 1.01314i | ||||
\(540\) | 0.0491721 | + | 1.19750i | 0.00211603 | + | 0.0515324i | ||||
\(541\) | −2.24718 | − | 2.49575i | −0.0966140 | − | 0.107301i | 0.692899 | − | 0.721035i | \(-0.256333\pi\) |
−0.789513 | + | 0.613734i | \(0.789667\pi\) | |||||||
\(542\) | 4.02481 | − | 3.25923i | 0.172881 | − | 0.139996i | ||||
\(543\) | 1.31392 | − | 4.90363i | 0.0563859 | − | 0.210435i | ||||
\(544\) | 0.755546 | − | 0.336391i | 0.0323938 | − | 0.0144226i | ||||
\(545\) | −11.9451 | + | 26.0320i | −0.511672 | + | 1.11509i | ||||
\(546\) | 14.9239 | − | 6.21105i | 0.638686 | − | 0.265808i | ||||
\(547\) | −6.75980 | + | 42.6797i | −0.289028 | + | 1.82485i | 0.233650 | + | 0.972321i | \(0.424933\pi\) |
−0.522678 | + | 0.852530i | \(0.675067\pi\) | |||||||
\(548\) | −0.469372 | − | 0.722770i | −0.0200506 | − | 0.0308752i | ||||
\(549\) | −4.70680 | − | 8.15242i | −0.200882 | − | 0.347937i | ||||
\(550\) | 24.3085 | − | 3.28782i | 1.03652 | − | 0.140193i | ||||
\(551\) | 26.6912 | + | 15.4102i | 1.13708 | + | 0.656496i | ||||
\(552\) | 3.44033 | − | 6.75203i | 0.146430 | − | 0.287386i | ||||
\(553\) | 2.09546 | − | 1.61349i | 0.0891078 | − | 0.0686126i | ||||
\(554\) | −5.37363 | − | 7.39617i | −0.228304 | − | 0.314233i | ||||
\(555\) | −4.20876 | − | 1.42038i | −0.178652 | − | 0.0602918i | ||||
\(556\) | −1.05970 | − | 0.111379i | −0.0449411 | − | 0.00472350i | ||||
\(557\) | 14.2854 | + | 3.82777i | 0.605293 | + | 0.162188i | 0.548433 | − | 0.836194i | \(-0.315224\pi\) |
0.0568601 | + | 0.998382i | \(0.481891\pi\) | |||||||
\(558\) | 7.76602 | − | 20.2312i | 0.328762 | − | 0.856454i | ||||
\(559\) | 9.24717 | − | 28.4599i | 0.391114 | − | 1.20372i | ||||
\(560\) | 13.1027 | + | 17.4211i | 0.553690 | + | 0.736174i | ||||
\(561\) | −0.727407 | − | 2.23873i | −0.0307112 | − | 0.0945192i | ||||
\(562\) | −4.44266 | − | 0.232830i | −0.187402 | − | 0.00982133i | ||||
\(563\) | 4.82164 | − | 7.42467i | 0.203208 | − | 0.312913i | −0.722344 | − | 0.691534i | \(-0.756935\pi\) |
0.925552 | + | 0.378622i | \(0.123602\pi\) | |||||||
\(564\) | −0.349699 | − | 0.314870i | −0.0147250 | − | 0.0132584i | ||||
\(565\) | 21.5224 | + | 3.65904i | 0.905456 | + | 0.153937i | ||||
\(566\) | 6.45330 | + | 2.09680i | 0.271252 | + | 0.0881353i | ||||
\(567\) | −6.08510 | − | 12.7028i | −0.255550 | − | 0.533467i | ||||
\(568\) | −18.1814 | − | 18.1814i | −0.762873 | − | 0.762873i | ||||
\(569\) | 6.73667 | + | 15.1308i | 0.282416 | + | 0.634316i | 0.997932 | − | 0.0642800i | \(-0.0204751\pi\) |
−0.715516 | + | 0.698596i | \(0.753808\pi\) | |||||||
\(570\) | 6.69414 | − | 5.89159i | 0.280387 | − | 0.246771i | ||||
\(571\) | −10.6348 | − | 4.73492i | −0.445053 | − | 0.198150i | 0.171959 | − | 0.985104i | \(-0.444990\pi\) |
−0.617012 | + | 0.786954i | \(0.711657\pi\) | |||||||
\(572\) | 2.28328 | − | 2.81961i | 0.0954686 | − | 0.117894i | ||||
\(573\) | −0.749877 | − | 0.382081i | −0.0313265 | − | 0.0159617i | ||||
\(574\) | −14.8935 | + | 15.7473i | −0.621643 | + | 0.657279i | ||||
\(575\) | −12.8030 | + | 15.0982i | −0.533921 | + | 0.629639i | ||||
\(576\) | 10.9247 | − | 18.9221i | 0.455194 | − | 0.788419i | ||||
\(577\) | −37.6109 | + | 1.97110i | −1.56576 | + | 0.0820581i | −0.815372 | − | 0.578937i | \(-0.803468\pi\) |
−0.750390 | + | 0.660995i | \(0.770134\pi\) | |||||||
\(578\) | 7.80808 | + | 20.3407i | 0.324773 | + | 0.846063i | ||||
\(579\) | 0.992428 | + | 9.44232i | 0.0412439 | + | 0.392409i | ||||
\(580\) | 2.05702 | + | 0.943892i | 0.0854132 | + | 0.0391930i | ||||
\(581\) | 27.8104 | − | 23.8332i | 1.15377 | − | 0.988766i | ||||
\(582\) | 8.38407 | − | 8.38407i | 0.347531 | − | 0.347531i | ||||
\(583\) | −29.7129 | − | 11.4057i | −1.23058 | − | 0.472377i | ||||
\(584\) | −14.7917 | + | 3.14407i | −0.612085 | + | 0.130103i | ||||
\(585\) | 21.0827 | + | 33.2834i | 0.871660 | + | 1.37610i | ||||
\(586\) | 4.15188 | − | 19.5331i | 0.171513 | − | 0.806904i | ||||
\(587\) | 28.8080 | − | 14.6784i | 1.18903 | − | 0.605843i | 0.256367 | − | 0.966580i | \(-0.417474\pi\) |
0.932668 | + | 0.360736i | \(0.117474\pi\) | |||||||
\(588\) | −0.584367 | − | 0.334775i | −0.0240989 | − | 0.0138059i | ||||
\(589\) | 26.3410 | − | 8.55870i | 1.08536 | − | 0.352655i | ||||
\(590\) | 8.33267 | − | 1.22324i | 0.343051 | − | 0.0503598i | ||||
\(591\) | 1.96185 | + | 9.22976i | 0.0806995 | + | 0.379661i | ||||
\(592\) | 7.03339 | + | 8.68551i | 0.289070 | + | 0.356972i | ||||
\(593\) | −0.193429 | − | 0.721886i | −0.00794316 | − | 0.0296443i | 0.961841 | − | 0.273611i | \(-0.0882180\pi\) |
−0.969784 | + | 0.243966i | \(0.921551\pi\) | |||||||
\(594\) | −14.4815 | − | 10.5214i | −0.594181 | − | 0.431698i | ||||
\(595\) | −4.89447 | + | 3.29484i | −0.200654 | + | 0.135075i | ||||
\(596\) | 1.27986 | − | 0.929872i | 0.0524251 | − | 0.0380890i | ||||
\(597\) | −1.07380 | − | 0.869544i | −0.0439476 | − | 0.0355881i | ||||
\(598\) | −1.93301 | − | 36.8840i | −0.0790466 | − | 1.50830i | ||||
\(599\) | −30.0127 | + | 17.3279i | −1.22629 | + | 0.707997i | −0.966251 | − | 0.257602i | \(-0.917068\pi\) |
−0.260036 | + | 0.965599i | \(0.583734\pi\) | |||||||
\(600\) | 6.56310 | − | 6.96526i | 0.267937 | − | 0.284355i | ||||
\(601\) | 20.7380i | 0.845922i | 0.906148 | + | 0.422961i | \(0.139009\pi\) | ||||
−0.906148 | + | 0.422961i | \(0.860991\pi\) | |||||||
\(602\) | 14.8160 | − | 5.27460i | 0.603854 | − | 0.214977i | ||||
\(603\) | −35.8194 | − | 5.67323i | −1.45868 | − | 0.231032i | ||||
\(604\) | 0.210497 | − | 0.0221241i | 0.00856498 | − | 0.000900216i | ||||
\(605\) | 2.26642 | − | 3.82489i | 0.0921430 | − | 0.155504i | ||||
\(606\) | −0.851390 | + | 8.10043i | −0.0345854 | + | 0.329058i | ||||
\(607\) | −15.7016 | + | 4.20723i | −0.637308 | + | 0.170766i | −0.562984 | − | 0.826468i | \(-0.690347\pi\) |
−0.0743240 | + | 0.997234i | \(0.523680\pi\) | |||||||
\(608\) | 3.66388 | − | 0.580302i | 0.148590 | − | 0.0235343i | ||||
\(609\) | 11.9351 | + | 0.292499i | 0.483636 | + | 0.0118527i | ||||
\(610\) | −3.00619 | + | 10.7318i | −0.121717 | + | 0.434517i | ||||
\(611\) | −32.7860 | − | 6.96888i | −1.32638 | − | 0.281931i | ||||
\(612\) | 0.315910 | + | 0.205155i | 0.0127699 | + | 0.00829288i | ||||
\(613\) | 3.10669 | + | 2.01751i | 0.125478 | + | 0.0814864i | 0.605852 | − | 0.795577i | \(-0.292832\pi\) |
−0.480374 | + | 0.877064i | \(0.659499\pi\) | |||||||
\(614\) | −5.90123 | − | 1.25435i | −0.238154 | − | 0.0506213i | ||||
\(615\) | 7.33651 | + | 4.88335i | 0.295837 | + | 0.196916i | ||||
\(616\) | 27.8584 | + | 0.682737i | 1.12245 | + | 0.0275083i | ||||
\(617\) | 0.473002 | − | 0.0749161i | 0.0190423 | − | 0.00301601i | −0.146906 | − | 0.989150i | \(-0.546931\pi\) |
0.165948 | + | 0.986134i | \(0.446931\pi\) | |||||||
\(618\) | −5.41426 | + | 1.45075i | −0.217793 | + | 0.0583576i | ||||
\(619\) | −2.77526 | + | 26.4049i | −0.111547 | + | 1.06130i | 0.785347 | + | 0.619056i | \(0.212484\pi\) |
−0.896894 | + | 0.442245i | \(0.854182\pi\) | |||||||
\(620\) | 1.86726 | − | 0.806154i | 0.0749910 | − | 0.0323759i | ||||
\(621\) | 14.3663 | − | 1.50996i | 0.576501 | − | 0.0605927i | ||||
\(622\) | −7.04010 | − | 1.11504i | −0.282282 | − | 0.0447091i | ||||
\(623\) | 4.29446 | − | 1.52886i | 0.172054 | − | 0.0612525i | ||||
\(624\) | 16.5373i | 0.662022i | ||||||||
\(625\) | −20.8699 | + | 13.7640i | −0.834795 | + | 0.550560i | ||||
\(626\) | −9.44480 | + | 5.45296i | −0.377490 | + | 0.217944i | ||||
\(627\) | −0.552569 | − | 10.5436i | −0.0220675 | − | 0.421072i | ||||
\(628\) | −1.73712 | − | 1.40669i | −0.0693187 | − | 0.0561332i | ||||
\(629\) | −2.44730 | + | 1.77807i | −0.0975803 | + | 0.0708962i | ||||
\(630\) | −7.09973 | + | 19.4509i | −0.282860 | + | 0.774941i | ||||
\(631\) | −13.2040 | − | 9.59330i | −0.525645 | − | 0.381903i | 0.293081 | − | 0.956088i | \(-0.405319\pi\) |
−0.818726 | + | 0.574184i | \(0.805319\pi\) | |||||||
\(632\) | 0.756102 | + | 2.82181i | 0.0300761 | + | 0.112246i | ||||
\(633\) | 3.44602 | + | 4.25548i | 0.136967 | + | 0.169140i | ||||
\(634\) | −1.79817 | − | 8.45973i | −0.0714145 | − | 0.335979i | ||||
\(635\) | −4.78953 | − | 9.66904i | −0.190067 | − | 0.383704i | ||||
\(636\) | −0.808058 | + | 0.262554i | −0.0320416 | + | 0.0104109i | ||||
\(637\) | −47.9709 | + | 0.160936i | −1.90068 | + | 0.00637650i | ||||
\(638\) | −30.1179 | + | 15.3458i | −1.19238 | + | 0.607547i | ||||
\(639\) | 4.70299 | − | 22.1258i | 0.186047 | − | 0.875284i | ||||
\(640\) | −21.4675 | + | 5.49250i | −0.848577 | + | 0.217110i | ||||
\(641\) | 38.7254 | − | 8.23134i | 1.52956 | − | 0.325119i | 0.635160 | − | 0.772381i | \(-0.280934\pi\) |
0.894403 | + | 0.447262i | \(0.147601\pi\) | |||||||
\(642\) | −5.70799 | − | 2.19109i | −0.225277 | − | 0.0864756i | ||||
\(643\) | 1.27966 | − | 1.27966i | 0.0504649 | − | 0.0504649i | −0.681424 | − | 0.731889i | \(-0.738639\pi\) |
0.731889 | + | 0.681424i | \(0.238639\pi\) | |||||||
\(644\) | −1.16843 | + | 1.00133i | −0.0460425 | + | 0.0394578i | ||||
\(645\) | −3.13445 | − | 5.57380i | −0.123419 | − | 0.219468i | ||||
\(646\) | −0.634794 | − | 6.03966i | −0.0249756 | − | 0.237627i | ||||
\(647\) | 4.50555 | + | 11.7374i | 0.177132 | + | 0.461444i | 0.993187 | − | 0.116530i | \(-0.0371771\pi\) |
−0.816056 | + | 0.577973i | \(0.803844\pi\) | |||||||
\(648\) | 15.5373 | − | 0.814276i | 0.610363 | − | 0.0319878i | ||||
\(649\) | 4.98570 | − | 8.63548i | 0.195706 | − | 0.338972i | ||||
\(650\) | 10.7284 | − | 45.3941i | 0.420803 | − | 1.78050i | ||||
\(651\) | 7.37204 | − | 7.79466i | 0.288933 | − | 0.305497i | ||||
\(652\) | 1.99422 | + | 1.01611i | 0.0780996 | + | 0.0397938i | ||||
\(653\) | 22.4200 | − | 27.6864i | 0.877361 | − | 1.08345i | −0.118535 | − | 0.992950i | \(-0.537820\pi\) |
0.995896 | − | 0.0905012i | \(-0.0288469\pi\) | |||||||
\(654\) | −10.4324 | − | 4.64480i | −0.407939 | − | 0.181626i | ||||
\(655\) | −5.93186 | + | 26.4322i | −0.231777 | + | 1.03279i | ||||
\(656\) | −9.01905 | − | 20.2571i | −0.352135 | − | 0.790908i | ||||
\(657\) | −9.40702 | − | 9.40702i | −0.367003 | − | 0.367003i | ||||
\(658\) | −7.61041 | − | 15.8869i | −0.296685 | − | 0.619337i | ||||
\(659\) | 40.6379 | + | 13.2041i | 1.58303 | + | 0.514357i | 0.962834 | − | 0.270092i | \(-0.0870542\pi\) |
0.620193 | + | 0.784449i | \(0.287054\pi\) | |||||||
\(660\) | −0.112610 | − | 0.767096i | −0.00438333 | − | 0.0298592i | ||||
\(661\) | 31.8498 | + | 28.6777i | 1.23881 | + | 1.11543i | 0.989121 | + | 0.147108i | \(0.0469963\pi\) |
0.249693 | + | 0.968325i | \(0.419670\pi\) | |||||||
\(662\) | 15.5818 | − | 23.9938i | 0.605603 | − | 0.932547i | ||||
\(663\) | −4.46999 | − | 0.234262i | −0.173600 | − | 0.00909798i | ||||
\(664\) | 12.5020 | + | 38.4773i | 0.485173 | + | 1.49321i | ||||
\(665\) | −25.0300 | + | 8.59286i | −0.970622 | + | 0.333217i | ||||
\(666\) | −3.28055 | + | 10.0965i | −0.127119 | + | 0.391232i | ||||
\(667\) | 9.77573 | − | 25.4666i | 0.378518 | − | 0.986072i | ||||
\(668\) | 0.828416 | + | 0.221973i | 0.0320524 | + | 0.00858841i | ||||
\(669\) | 6.70612 | + | 0.704842i | 0.259274 | + | 0.0272508i | ||||
\(670\) | 24.8421 | + | 35.0191i | 0.959733 | + | 1.35291i | ||||
\(671\) | 7.75597 | + | 10.6752i | 0.299416 | + | 0.412110i | ||||
\(672\) | 1.13854 | − | 0.876669i | 0.0439201 | − | 0.0338182i | ||||
\(673\) | 1.16847 | − | 2.29326i | 0.0450413 | − | 0.0883986i | −0.867389 | − | 0.497631i | \(-0.834203\pi\) |
0.912430 | + | 0.409232i | \(0.134203\pi\) | |||||||
\(674\) | 11.0238 | + | 6.36462i | 0.424623 | + | 0.245156i | ||||
\(675\) | 17.9493 | + | 3.26106i | 0.690869 | + | 0.125518i | ||||
\(676\) | −2.49469 | − | 4.32093i | −0.0959497 | − | 0.166190i | ||||
\(677\) | −11.0366 | − | 16.9948i | −0.424170 | − | 0.653164i | 0.560387 | − | 0.828231i | \(-0.310652\pi\) |
−0.984557 | + | 0.175067i | \(0.943986\pi\) | |||||||
\(678\) | −1.36165 | + | 8.59712i | −0.0522939 | + | 0.330170i | ||||
\(679\) | −32.4857 | + | 13.5199i | −1.24669 | + | 0.518846i | ||||
\(680\) | −1.28279 | − | 6.38993i | −0.0491928 | − | 0.245043i | ||||
\(681\) | −3.12925 | + | 1.39323i | −0.119913 | + | 0.0533888i | ||||
\(682\) | −7.86188 | + | 29.3410i | −0.301047 | + | 1.12352i | ||||
\(683\) | −5.05397 | + | 4.09262i | −0.193385 | + | 0.156600i | −0.721123 | − | 0.692807i | \(-0.756374\pi\) |
0.527738 | + | 0.849407i | \(0.323040\pi\) | |||||||
\(684\) | 1.13051 | + | 1.25556i | 0.0432261 | + | 0.0480075i | ||||
\(685\) | −12.2991 | + | 4.56210i | −0.469923 | + | 0.174309i | ||||
\(686\) | −15.4482 | − | 19.9240i | −0.589813 | − | 0.760703i | ||||
\(687\) | −7.16528 | − | 14.0627i | −0.273373 | − | 0.536524i | ||||
\(688\) | −0.842047 | + | 16.0672i | −0.0321027 | + | 0.612557i | ||||
\(689\) | −40.4959 | + | 44.9752i | −1.54277 | + | 1.71342i | ||||
\(690\) | −6.07717 | − | 5.03617i | −0.231354 | − | 0.191724i | ||||
\(691\) | −15.1953 | + | 13.6819i | −0.578057 | + | 0.520485i | −0.905478 | − | 0.424394i | \(-0.860487\pi\) |
0.327421 | + | 0.944879i | \(0.393821\pi\) | |||||||
\(692\) | 0.0187509 | + | 0.118389i | 0.000712803 | + | 0.00450046i | ||||
\(693\) | 12.8443 | + | 20.8813i | 0.487916 | + | 0.793216i | ||||
\(694\) | 14.5867 | − | 20.0769i | 0.553703 | − | 0.762107i | ||||
\(695\) | −5.18624 | + | 15.3674i | −0.196725 | + | 0.582920i | ||||
\(696\) | −5.36393 | + | 12.0476i | −0.203319 | + | 0.456662i | ||||
\(697\) | 5.60320 | − | 2.15087i | 0.212236 | − | 0.0814699i | ||||
\(698\) | 23.6976 | − | 15.3894i | 0.896968 | − | 0.582498i | ||||
\(699\) | 6.68311 | 0.252779 | ||||||||
\(700\) | −1.77118 | + | 0.799674i | −0.0669442 | + | 0.0302248i | ||||
\(701\) | 40.8116 | 1.54143 | 0.770717 | − | 0.637178i | \(-0.219898\pi\) | ||||
0.770717 | + | 0.637178i | \(0.219898\pi\) | |||||||
\(702\) | −28.5465 | + | 18.5383i | −1.07742 | + | 0.699683i | ||||
\(703\) | −12.6670 | + | 4.86239i | −0.477743 | + | 0.183388i | ||||
\(704\) | −12.4570 | + | 27.9788i | −0.469489 | + | 1.05449i | ||||
\(705\) | −5.84204 | + | 4.14426i | −0.220024 | + | 0.156082i | ||||
\(706\) | −15.0062 | + | 20.6542i | −0.564765 | + | 0.777332i | ||||
\(707\) | 11.4980 | − | 21.2616i | 0.432427 | − | 0.799626i | ||||
\(708\) | −0.0416420 | − | 0.262917i | −0.00156500 | − | 0.00988103i | ||||
\(709\) | −24.5225 | + | 22.0802i | −0.920962 | + | 0.829238i | −0.985673 | − | 0.168666i | \(-0.946054\pi\) |
0.0647112 | + | 0.997904i | \(0.479387\pi\) | |||||||
\(710\) | −22.6235 | + | 14.3304i | −0.849043 | + | 0.537809i | ||||
\(711\) | −1.71968 | + | 1.90990i | −0.0644932 | + | 0.0716269i | ||||
\(712\) | −0.263532 | + | 5.02849i | −0.00987628 | + | 0.188451i | ||||
\(713\) | −11.1289 | − | 21.8418i | −0.416782 | − | 0.817981i | ||||
\(714\) | −1.33568 | − | 1.93647i | −0.0499867 | − | 0.0724704i | ||||
\(715\) | −34.2667 | − | 43.3093i | −1.28150 | − | 1.61968i | ||||
\(716\) | −0.194356 | − | 0.215855i | −0.00726344 | − | 0.00806686i | ||||
\(717\) | −14.6026 | + | 11.8250i | −0.545345 | + | 0.441612i | ||||
\(718\) | 0.794012 | − | 2.96329i | 0.0296323 | − | 0.110589i | ||||
\(719\) | 12.8200 | − | 5.70783i | 0.478105 | − | 0.212866i | −0.153512 | − | 0.988147i | \(-0.549058\pi\) |
0.631617 | + | 0.775281i | \(0.282392\pi\) | |||||||
\(720\) | −15.5807 | − | 14.3516i | −0.580660 | − | 0.534854i | ||||
\(721\) | 16.4956 | + | 2.14355i | 0.614329 | + | 0.0798298i | ||||
\(722\) | 0.215010 | − | 1.35752i | 0.00800184 | − | 0.0505216i | ||||
\(723\) | 2.88909 | + | 4.44880i | 0.107446 | + | 0.165453i | ||||
\(724\) | −0.569354 | − | 0.986150i | −0.0211599 | − | 0.0366500i | ||||
\(725\) | 20.8749 | − | 27.4050i | 0.775276 | − | 1.01780i | ||||
\(726\) | 1.53514 | + | 0.886316i | 0.0569746 | + | 0.0328943i | ||||
\(727\) | 6.09289 | − | 11.9580i | 0.225973 | − | 0.443496i | −0.749985 | − | 0.661454i | \(-0.769940\pi\) |
0.975958 | + | 0.217958i | \(0.0699395\pi\) | |||||||
\(728\) | 20.1962 | − | 48.9902i | 0.748521 | − | 1.81570i | ||||
\(729\) | 3.83166 | + | 5.27383i | 0.141914 | + | 0.195327i | ||||
\(730\) | −0.178301 | + | 15.7492i | −0.00659921 | + | 0.582904i | ||||
\(731\) | −4.33099 | − | 0.455206i | −0.160188 | − | 0.0168364i | ||||
\(732\) | 0.340255 | + | 0.0911709i | 0.0125762 | + | 0.00336977i | ||||
\(733\) | 11.0022 | − | 28.6618i | 0.406377 | − | 1.05865i | −0.565829 | − | 0.824523i | \(-0.691444\pi\) |
0.972206 | − | 0.234126i | \(-0.0752229\pi\) | |||||||
\(734\) | 4.10015 | − | 12.6190i | 0.151339 | − | 0.465774i | ||||
\(735\) | −6.91984 | + | 7.56322i | −0.255242 | + | 0.278974i | ||||
\(736\) | −1.01458 | − | 3.12255i | −0.0373979 | − | 0.115099i | ||||
\(737\) | 50.7649 | + | 2.66048i | 1.86995 | + | 0.0979999i | ||||
\(738\) | 11.4717 | − | 17.6649i | 0.422279 | − | 0.650253i | ||||
\(739\) | −18.4275 | − | 16.5922i | −0.677866 | − | 0.610353i | 0.256553 | − | 0.966530i | \(-0.417413\pi\) |
−0.934418 | + | 0.356177i | \(0.884080\pi\) | |||||||
\(740\) | −0.892823 | + | 0.442257i | −0.0328208 | + | 0.0162577i | ||||
\(741\) | −19.0941 | − | 6.20405i | −0.701439 | − | 0.227911i | ||||
\(742\) | −31.7126 | − | 2.44232i | −1.16421 | − | 0.0896602i | ||||
\(743\) | −0.916200 | − | 0.916200i | −0.0336121 | − | 0.0336121i | 0.690101 | − | 0.723713i | \(-0.257566\pi\) |
−0.723713 | + | 0.690101i | \(0.757566\pi\) | |||||||
\(744\) | 4.82026 | + | 10.8265i | 0.176719 | + | 0.396918i | ||||
\(745\) | −9.54466 | − | 22.1079i | −0.349689 | − | 0.809969i | ||||
\(746\) | −2.97580 | − | 1.32491i | −0.108952 | − | 0.0485085i | ||||
\(747\) | −22.3987 | + | 27.6601i | −0.819526 | + | 1.01203i | ||||
\(748\) | −0.470451 | − | 0.239707i | −0.0172014 | − | 0.00876455i | ||||
\(749\) | 13.1824 | + | 12.4676i | 0.481673 | + | 0.455558i | ||||
\(750\) | −5.58166 | − | 8.25832i | −0.203813 | − | 0.301551i | ||||
\(751\) | −8.30560 | + | 14.3857i | −0.303076 | + | 0.524942i | −0.976831 | − | 0.214012i | \(-0.931347\pi\) |
0.673755 | + | 0.738954i | \(0.264680\pi\) | |||||||
\(752\) | 17.9969 | − | 0.943179i | 0.656280 | − | 0.0343942i | ||||
\(753\) | −3.46625 | − | 9.02990i | −0.126317 | − | 0.329068i | ||||
\(754\) | 6.71868 | + | 63.9240i | 0.244680 | + | 2.32797i | ||||
\(755\) | 0.373011 | − | 3.20005i | 0.0135753 | − | 0.116462i | ||||
\(756\) | 1.33755 | + | 0.471129i | 0.0486463 | + | 0.0171348i | ||||
\(757\) | −21.3401 | + | 21.3401i | −0.775621 | + | 0.775621i | −0.979083 | − | 0.203462i | \(-0.934781\pi\) |
0.203462 | + | 0.979083i | \(0.434781\pi\) | |||||||
\(758\) | −33.4144 | − | 12.8266i | −1.21367 | − | 0.465883i | ||||
\(759\) | −9.14056 | + | 1.94289i | −0.331781 | + | 0.0705223i | ||||
\(760\) | 1.86029 | − | 29.1733i | 0.0674798 | − | 1.05823i | ||||
\(761\) | 3.44920 | − | 16.2272i | 0.125033 | − | 0.588236i | −0.870365 | − | 0.492408i | \(-0.836117\pi\) |
0.995398 | − | 0.0958278i | \(-0.0305498\pi\) | |||||||
\(762\) | 3.83326 | − | 1.95314i | 0.138864 | − | 0.0707549i | ||||
\(763\) | 23.3691 | + | 24.5433i | 0.846018 | + | 0.888527i | ||||
\(764\) | −0.179537 | + | 0.0583350i | −0.00649541 | + | 0.00211049i | ||||
\(765\) | 4.09992 | − | 4.00813i | 0.148233 | − | 0.144914i | ||||
\(766\) | 0.192870 | + | 0.907383i | 0.00696869 | + | 0.0327851i | ||||
\(767\) | −11.9326 | − | 14.7355i | −0.430860 | − | 0.532068i | ||||
\(768\) | 0.594318 | + | 2.21803i | 0.0214456 | + | 0.0800361i | ||||
\(769\) | −19.4798 | − | 14.1529i | −0.702460 | − | 0.510367i | 0.178273 | − | 0.983981i | \(-0.442949\pi\) |
−0.880732 | + | 0.473614i | \(0.842949\pi\) | |||||||
\(770\) | 7.04738 | − | 28.1555i | 0.253970 | − | 1.01466i | ||||
\(771\) | 3.99637 | − | 2.90353i | 0.143926 | − | 0.104568i | ||||
\(772\) | 1.65503 | + | 1.34021i | 0.0595657 | + | 0.0482354i | ||||
\(773\) | 0.391763 | + | 7.47527i | 0.0140907 | + | 0.268867i | 0.996585 | + | 0.0825739i | \(0.0263140\pi\) |
−0.982494 | + | 0.186293i | \(0.940353\pi\) | |||||||
\(774\) | −13.2355 | + | 7.64149i | −0.475738 | + | 0.274668i | ||||
\(775\) | −5.74935 | − | 30.4196i | −0.206523 | − | 1.09271i | ||||
\(776\) | − | 38.8680i | − | 1.39528i | ||||||
\(777\) | −3.40667 | + | 4.00227i | −0.122214 | + | 0.143581i | ||||
\(778\) | −35.8220 | − | 5.67364i | −1.28428 | − | 0.203410i | ||||
\(779\) | 26.7725 | − | 2.81391i | 0.959226 | − | 0.100819i | ||||
\(780\) | −1.43852 | − | 0.322830i | −0.0515073 | − | 0.0115592i | ||||
\(781\) | −3.31429 | + | 31.5334i | −0.118595 | + | 1.12835i | ||||
\(782\) | −5.19187 | + | 1.39116i | −0.185661 | + | 0.0497477i | ||||
\(783\) | −24.8295 | + | 3.93260i | −0.887333 | + | 0.140540i | ||||
\(784\) | 24.8909 | − | 6.75908i | 0.888961 | − | 0.241396i | ||||
\(785\) | −26.6822 | + | 21.1112i | −0.952330 | + | 0.753492i | ||||
\(786\) | −10.5648 | − | 2.24562i | −0.376835 | − | 0.0800987i | ||||
\(787\) | 7.77809 | + | 5.05115i | 0.277259 | + | 0.180054i | 0.675776 | − | 0.737107i | \(-0.263808\pi\) |
−0.398517 | + | 0.917161i | \(0.630475\pi\) | |||||||
\(788\) | 1.77507 | + | 1.15274i | 0.0632342 | + | 0.0410648i | ||||
\(789\) | 11.4934 | + | 2.44299i | 0.409174 | + | 0.0869727i | ||||
\(790\) | 3.04012 | − | 0.124834i | 0.108163 | − | 0.00444139i | ||||
\(791\) | 13.4597 | − | 22.0472i | 0.478573 | − | 0.783909i | ||||
\(792\) | −26.7468 | + | 4.23628i | −0.950407 | + | 0.150530i | ||||
\(793\) | 24.2364 | − | 6.49411i | 0.860658 | − | 0.230613i | ||||
\(794\) | 4.78976 | − | 45.5715i | 0.169982 | − | 1.61727i | ||||
\(795\) | 1.20616 | + | 12.8764i | 0.0427779 | + | 0.456680i | ||||
\(796\) | −0.308228 | + | 0.0323961i | −0.0109249 | + | 0.00114825i | ||||
\(797\) | −38.0317 | − | 6.02362i | −1.34715 | − | 0.213368i | −0.559162 | − | 0.829058i | \(-0.688877\pi\) |
−0.787988 | + | 0.615691i | \(0.788877\pi\) | |||||||
\(798\) | −3.53879 | − | 9.94023i | −0.125272 | − | 0.351880i | ||||
\(799\) | 4.87788i | 0.172567i | ||||||||
\(800\) | −0.123206 | − | 4.14457i | −0.00435599 | − | 0.146533i | ||||
\(801\) | −3.83634 | + | 2.21491i | −0.135551 | + | 0.0782601i | ||||
\(802\) | 2.16525 | + | 41.3155i | 0.0764577 | + | 1.45890i | ||||
\(803\) | 14.4921 | + | 11.7355i | 0.511414 | + | 0.414135i | ||||
\(804\) | 1.09789 | − | 0.797666i | 0.0387197 | − | 0.0281315i | ||||
\(805\) | 10.9773 | + | 20.6910i | 0.386899 | + | 0.729263i | ||||
\(806\) | 46.7299 | + | 33.9512i | 1.64599 | + | 1.19588i | ||||
\(807\) | 2.76539 | + | 10.3206i | 0.0973465 | + | 0.363302i | ||||
\(808\) | 16.8030 | + | 20.7500i | 0.591129 | + | 0.729983i | ||||
\(809\) | −11.6903 | − | 54.9985i | −0.411009 | − | 1.93364i | −0.353925 | − | 0.935274i | \(-0.615153\pi\) |
−0.0570834 | − | 0.998369i | \(-0.518180\pi\) | |||||||
\(810\) | 2.71602 | − | 15.9756i | 0.0954312 | − | 0.561325i | ||||
\(811\) | 37.3508 | − | 12.1360i | 1.31156 | − | 0.426153i | 0.431974 | − | 0.901886i | \(-0.357817\pi\) |
0.879590 | + | 0.475733i | \(0.157817\pi\) | |||||||
\(812\) | 1.93939 | − | 1.84661i | 0.0680593 | − | 0.0648032i | ||||
\(813\) | −2.22006 | + | 1.13118i | −0.0778610 | + | 0.0396722i | ||||
\(814\) | 3.09389 | − | 14.5556i | 0.108441 | − | 0.510173i | ||||
\(815\) | 21.7381 | − | 26.2315i | 0.761453 | − | 0.918850i | ||||
\(816\) | 2.35405 | − | 0.500369i | 0.0824083 | − | 0.0175164i | ||||
\(817\) | −18.2354 | − | 6.99992i | −0.637977 | − | 0.244896i | ||||
\(818\) | −18.9198 | + | 18.9198i | −0.661516 | + | 0.661516i | ||||
\(819\) | 45.8223 | − | 8.57219i | 1.60116 | − | 0.299536i | ||||
\(820\) | 1.93816 | − | 0.389090i | 0.0676834 | − | 0.0135876i | ||||
\(821\) | 1.07620 | + | 10.2394i | 0.0375596 | + | 0.357356i | 0.997119 | + | 0.0758504i | \(0.0241672\pi\) |
−0.959560 | + | 0.281506i | \(0.909166\pi\) | |||||||
\(822\) | −1.87434 | − | 4.88283i | −0.0653752 | − | 0.170308i | ||||
\(823\) | 5.08504 | − | 0.266496i | 0.177253 | − | 0.00928946i | 0.0364973 | − | 0.999334i | \(-0.488380\pi\) |
0.140756 | + | 0.990044i | \(0.455047\pi\) | |||||||
\(824\) | −9.18728 | + | 15.9128i | −0.320054 | + | 0.554350i | ||||
\(825\) | −11.7683 | − | 0.884298i | −0.409720 | − | 0.0307873i | ||||
\(826\) | 2.31003 | − | 9.69358i | 0.0803763 | − | 0.337283i | ||||
\(827\) | 47.9120 | + | 24.4124i | 1.66606 | + | 0.848902i | 0.994118 | + | 0.108300i | \(0.0345408\pi\) |
0.671945 | + | 0.740601i | \(0.265459\pi\) | |||||||
\(828\) | 0.941060 | − | 1.16211i | 0.0327041 | − | 0.0403862i | ||||
\(829\) | 27.8978 | + | 12.4209i | 0.968930 | + | 0.431396i | 0.829297 | − | 0.558808i | \(-0.188741\pi\) |
0.139633 | + | 0.990203i | \(0.455408\pi\) | |||||||
\(830\) | 41.9540 | − | 3.92990i | 1.45625 | − | 0.136409i | ||||
\(831\) | 1.78897 | + | 4.01810i | 0.0620588 | + | 0.139386i | ||||
\(832\) | 41.1804 | + | 41.1804i | 1.42767 | + | 1.42767i | ||||
\(833\) | 1.47436 | + | 6.82369i | 0.0510837 | + | 0.236427i | ||||
\(834\) | −6.15013 | − | 1.99830i | −0.212961 | − | 0.0691954i | ||||
\(835\) | 6.05793 | − | 11.5638i | 0.209643 | − | 0.400183i | ||||
\(836\) | −1.75994 | − | 1.58466i | −0.0608688 | − | 0.0548065i | ||||
\(837\) | −12.3039 | + | 18.9464i | −0.425286 | + | 0.654882i | ||||
\(838\) | −30.5958 | − | 1.60346i | −1.05692 | − | 0.0553906i | ||||
\(839\) | −5.20568 | − | 16.0214i | −0.179720 | − | 0.553121i | 0.820097 | − | 0.572224i | \(-0.193919\pi\) |
−0.999818 | + | 0.0191024i | \(0.993919\pi\) | |||||||
\(840\) | −4.77616 | − | 10.2671i | −0.164793 | − | 0.354248i | ||||
\(841\) | −5.70811 | + | 17.5678i | −0.196831 | + | 0.605785i | ||||
\(842\) | −4.10506 | + | 10.6940i | −0.141470 | + | 0.368541i | ||||
\(843\) | 2.06739 | + | 0.553957i | 0.0712048 | + | 0.0190793i | ||||
\(844\) | 1.22151 | + | 0.128386i | 0.0420462 | + | 0.00441924i | ||||
\(845\) | −72.4897 | + | 22.6494i | −2.49372 | + | 0.779161i | ||||
\(846\) | 10.0620 | + | 13.8492i | 0.345939 | + | 0.476144i | ||||
\(847\) | −3.20939 | − | 4.16807i | −0.110276 | − | 0.143217i | ||||
\(848\) | 14.7726 | − | 28.9928i | 0.507293 | − | 0.995618i | ||||
\(849\) | −2.82714 | − | 1.63225i | −0.0970272 | − | 0.0560187i | ||||
\(850\) | −6.78636 | − | 0.153680i | −0.232770 | − | 0.00527118i | ||||
\(851\) | 6.00444 | + | 10.4000i | 0.205830 | + | 0.356507i | ||||
\(852\) | 0.461007 | + | 0.709889i | 0.0157938 | + | 0.0243204i | ||||
\(853\) | −6.94371 | + | 43.8409i | −0.237748 | + | 1.50108i | 0.523167 | + | 0.852230i | \(0.324751\pi\) |
−0.760915 | + | 0.648852i | \(0.775249\pi\) | |||||||
\(854\) | 10.4752 | + | 8.01006i | 0.358455 | + | 0.274098i | ||||
\(855\) | 22.4157 | − | 12.6055i | 0.766600 | − | 0.431100i | ||||
\(856\) | −18.3098 | + | 8.15205i | −0.625816 | + | 0.278631i | ||||
\(857\) | 7.05321 | − | 26.3229i | 0.240933 | − | 0.899174i | −0.734451 | − | 0.678661i | \(-0.762560\pi\) |
0.975384 | − | 0.220512i | \(-0.0707730\pi\) | |||||||
\(858\) | 17.1120 | − | 13.8570i | 0.584194 | − | 0.473071i | ||||
\(859\) | −35.4130 | − | 39.3302i | −1.20828 | − | 1.34193i | −0.923625 | − | 0.383297i | \(-0.874788\pi\) |
−0.284653 | − | 0.958631i | \(-0.591878\pi\) | |||||||
\(860\) | −1.38119 | − | 0.386900i | −0.0470983 | − | 0.0131932i | ||||
\(861\) | 8.58394 | − | 5.92081i | 0.292540 | − | 0.201781i | ||||
\(862\) | −5.47262 | − | 10.7406i | −0.186398 | − | 0.365827i | ||||
\(863\) | −1.18924 | + | 22.6921i | −0.0404823 | + | 0.772449i | 0.900678 | + | 0.434488i | \(0.143071\pi\) |
−0.941160 | + | 0.337961i | \(0.890263\pi\) | |||||||
\(864\) | −2.02461 | + | 2.24856i | −0.0688787 | + | 0.0764975i | ||||
\(865\) | 1.82081 | + | 0.116108i | 0.0619095 | + | 0.00394777i | ||||
\(866\) | 6.88634 | − | 6.20049i | 0.234007 | − | 0.210701i | ||||
\(867\) | −1.63979 | − | 10.3532i | −0.0556902 | − | 0.351614i | ||||
\(868\) | −0.0670296 | − | 2.40555i | −0.00227513 | − | 0.0816497i | ||||
\(869\) | 2.11747 | − | 2.91445i | 0.0718303 | − | 0.0988659i | ||||
\(870\) | 11.0201 | + | 8.19877i | 0.373616 | + | 0.277964i | ||||
\(871\) | 39.3169 | − | 88.3071i | 1.33220 | − | 2.99217i | ||||
\(872\) | −34.9484 | + | 13.4154i | −1.18350 | + | 0.454304i | ||||
\(873\) | 28.6772 | − | 18.6232i | 0.970576 | − | 0.630300i | ||||
\(874\) | −24.1085 | −0.815484 | ||||||||
\(875\) | 5.97336 | + | 28.9710i | 0.201936 | + | 0.979399i | ||||
\(876\) | 0.497819 | 0.0168197 | ||||||||
\(877\) | 16.3183 | − | 10.5972i | 0.551029 | − | 0.357843i | −0.238896 | − | 0.971045i | \(-0.576786\pi\) |
0.789926 | + | 0.613202i | \(0.210119\pi\) | |||||||
\(878\) | 11.4575 | − | 4.39814i | 0.386673 | − | 0.148430i | ||||
\(879\) | −3.90770 | + | 8.77683i | −0.131803 | + | 0.296035i | ||||
\(880\) | 23.8230 | + | 17.7239i | 0.803072 | + | 0.597472i | ||||
\(881\) | 22.4359 | − | 30.8804i | 0.755886 | − | 1.04039i | −0.241659 | − | 0.970361i | \(-0.577692\pi\) |
0.997545 | − | 0.0700265i | \(-0.0223084\pi\) | |||||||
\(882\) | 18.2618 | + | 16.3324i | 0.614906 | + | 0.549940i | ||||
\(883\) | −7.81845 | − | 49.3637i | −0.263112 | − | 1.66122i | −0.665984 | − | 0.745966i | \(-0.731988\pi\) |
0.402873 | − | 0.915256i | \(-0.368012\pi\) | |||||||
\(884\) | −0.746128 | + | 0.671817i | −0.0250950 | + | 0.0225956i | ||||
\(885\) | −4.04366 | − | 0.257851i | −0.135926 | − | 0.00866758i | ||||
\(886\) | −10.6064 | + | 11.7797i | −0.356330 | + | 0.395745i | ||||
\(887\) | −1.65508 | + | 31.5809i | −0.0555723 | + | 1.06038i | 0.818475 | + | 0.574542i | \(0.194820\pi\) |
−0.874048 | + | 0.485840i | \(0.838514\pi\) | |||||||
\(888\) | −2.63572 | − | 5.17289i | −0.0884489 | − | 0.173591i | ||||
\(889\) | −12.7262 | + | 1.02305i | −0.426822 | + | 0.0343121i | ||||
\(890\) | 5.05013 | + | 1.41464i | 0.169281 | + | 0.0474190i | ||||
\(891\) | −12.8380 | − | 14.2580i | −0.430089 | − | 0.477662i | ||||
\(892\) | 1.17543 | − | 0.951847i | 0.0393564 | − | 0.0318702i | ||||
\(893\) | −5.66263 | + | 21.1332i | −0.189493 | + | 0.707196i | ||||
\(894\) | 8.77093 | − | 3.90507i | 0.293344 | − | 0.130605i | ||||
\(895\) | −3.85369 | + | 2.16713i | −0.128815 | + | 0.0724393i | ||||
\(896\) | −3.37864 | + | 26.0003i | −0.112872 | + | 0.868608i | ||||
\(897\) | −2.77976 | + | 17.5507i | −0.0928134 | + | 0.586001i | ||||
\(898\) | 4.95019 | + | 7.62263i | 0.165190 | + | 0.254370i | ||||
\(899\) | 21.3301 | + | 36.9449i | 0.711399 | + | 1.23218i | ||||
\(900\) | 1.55255 | − | 1.07515i | 0.0517518 | − | 0.0358383i | ||||
\(901\) | 7.62741 | + | 4.40369i | 0.254106 | + | 0.146708i | ||||
\(902\) | −13.4038 | + | 26.3064i | −0.446297 | + | 0.875907i | ||||
\(903\) | −7.49990 | + | 1.00018i | −0.249581 | + | 0.0332840i | ||||
\(904\) | 16.7716 | + | 23.0841i | 0.557814 | + | 0.767765i | ||||
\(905\) | −16.5441 | + | 5.16918i | −0.549943 | + | 0.171829i | ||||
\(906\) | 1.27749 | + | 0.134269i | 0.0424416 | + | 0.00446079i | ||||
\(907\) | −3.25651 | − | 0.872580i | −0.108131 | − | 0.0289735i | 0.204348 | − | 0.978898i | \(-0.434493\pi\) |
−0.312479 | + | 0.949925i | \(0.601159\pi\) | |||||||
\(908\) | −0.275345 | + | 0.717299i | −0.00913765 | + | 0.0238044i | ||||
\(909\) | −7.25858 | + | 22.3396i | −0.240752 | + | 0.740958i | ||||
\(910\) | −45.1805 | − | 31.6975i | −1.49772 | − | 1.05076i | ||||
\(911\) | 0.771586 | + | 2.37470i | 0.0255638 | + | 0.0786772i | 0.963024 | − | 0.269414i | \(-0.0868300\pi\) |
−0.937461 | + | 0.348091i | \(0.886830\pi\) | |||||||
\(912\) | 10.7797 | + | 0.564940i | 0.356952 | + | 0.0187070i | ||||
\(913\) | 27.1720 | − | 41.8412i | 0.899261 | − | 1.38474i | ||||
\(914\) | 5.76931 | + | 5.19471i | 0.190832 | + | 0.171826i | ||||
\(915\) | 2.48817 | − | 4.74960i | 0.0822563 | − | 0.157017i | ||||
\(916\) | −3.36691 | − | 1.09397i | −0.111246 | − | 0.0361459i | ||||
\(917\) | 26.4460 | + | 18.1106i | 0.873325 | + | 0.598066i | ||||
\(918\) | 3.50262 | + | 3.50262i | 0.115604 | + | 0.115604i | ||||
\(919\) | 11.0794 | + | 24.8847i | 0.365475 | + | 0.820870i | 0.998892 | + | 0.0470597i | \(0.0149851\pi\) |
−0.633417 | + | 0.773811i | \(0.718348\pi\) | |||||||
\(920\) | −25.7603 | + | 2.41301i | −0.849293 | + | 0.0795545i | ||||
\(921\) | 2.65161 | + | 1.18057i | 0.0873735 | + | 0.0389012i | ||||
\(922\) | 5.78013 | − | 7.13786i | 0.190358 | − | 0.235073i | ||||
\(923\) | 53.7209 | + | 27.3722i | 1.76824 | + | 0.900966i | ||||
\(924\) | −0.892379 | − | 0.212659i | −0.0293571 | − | 0.00699596i | ||||
\(925\) | 3.59259 | + | 14.7343i | 0.118124 | + | 0.484462i | ||||
\(926\) | 28.9092 | − | 50.0721i | 0.950014 | − | 1.64547i | ||||
\(927\) | −16.1427 | + | 0.846001i | −0.530194 | + | 0.0277863i | ||||
\(928\) | 2.04762 | + | 5.33422i | 0.0672163 | + | 0.175104i | ||||
\(929\) | 4.33085 | + | 41.2053i | 0.142090 | + | 1.35190i | 0.800542 | + | 0.599277i | \(0.204545\pi\) |
−0.658451 | + | 0.752623i | \(0.728788\pi\) | |||||||
\(930\) | 12.1018 | − | 2.42946i | 0.396834 | − | 0.0796653i | ||||
\(931\) | −1.53386 | + | 31.2749i | −0.0502701 | + | 1.02499i | ||||
\(932\) | 1.05999 | − | 1.05999i | 0.0347211 | − | 0.0347211i | ||||
\(933\) | 3.20149 | + | 1.22894i | 0.104812 | + | 0.0402336i | ||||
\(934\) | 4.77311 | − | 1.01456i | 0.156181 | − | 0.0331973i | ||||
\(935\) | −5.12818 | + | 6.18821i | −0.167710 | + | 0.202376i | ||||
\(936\) | −10.7063 | + | 50.3690i | −0.349945 | + | 1.64636i | ||||
\(937\) | 33.1975 | − | 16.9150i | 1.08452 | − | 0.552588i | 0.182023 | − | 0.983294i | \(-0.441735\pi\) |
0.902492 | + | 0.430706i | \(0.141735\pi\) | |||||||
\(938\) | 49.3785 | − | 11.9424i | 1.61226 | − | 0.389932i | ||||
\(939\) | 4.99010 | − | 1.62138i | 0.162846 | − | 0.0529118i | ||||
\(940\) | −0.269280 | + | 1.58390i | −0.00878294 | + | 0.0516611i | ||||
\(941\) | −6.91463 | − | 32.5308i | −0.225410 | − | 1.06047i | −0.934668 | − | 0.355523i | \(-0.884303\pi\) |
0.709257 | − | 0.704950i | \(-0.249030\pi\) | |||||||
\(942\) | −8.53710 | − | 10.5424i | −0.278154 | − | 0.343491i | ||||
\(943\) | −6.16671 | − | 23.0145i | −0.200816 | − | 0.749455i | ||||
\(944\) | 8.24764 | + | 5.99226i | 0.268438 | + | 0.195032i | ||||
\(945\) | 11.4554 | − | 18.2951i | 0.372644 | − | 0.595140i | ||||
\(946\) | 17.3311 | − | 12.5918i | 0.563484 | − | 0.409395i | ||||
\(947\) | −12.8183 | − | 10.3800i | −0.416537 | − | 0.337305i | 0.398032 | − | 0.917372i | \(-0.369693\pi\) |
−0.814569 | + | 0.580066i | \(0.803027\pi\) | |||||||
\(948\) | −0.00503317 | − | 0.0960386i | −0.000163470 | − | 0.00311919i | ||||
\(949\) | 30.7090 | − | 17.7298i | 0.996855 | − | 0.575535i | ||||
\(950\) | −29.2232 | − | 8.54396i | −0.948127 | − | 0.277203i | ||||
\(951\) | 4.16096i | 0.134928i | ||||||||
\(952\) | −7.58473 | − | 1.39259i | −0.245822 | − | 0.0451341i | ||||
\(953\) | 23.6472 | + | 3.74535i | 0.766009 | + | 0.121324i | 0.527198 | − | 0.849742i | \(-0.323243\pi\) |
0.238810 | + | 0.971066i | \(0.423243\pi\) | |||||||
\(954\) | 30.7394 | − | 3.23084i | 0.995226 | − | 0.104602i | ||||
\(955\) | 0.267987 | + | 2.86093i | 0.00867186 | + | 0.0925774i | ||||
\(956\) | −0.440556 | + | 4.19161i | −0.0142486 | + | 0.135566i | ||||
\(957\) | 15.7083 | − | 4.20902i | 0.507776 | − | 0.136058i | ||||
\(958\) | 29.2204 | − | 4.62806i | 0.944068 | − | 0.149526i | ||||
\(959\) | −0.380274 | + | 15.5167i | −0.0122797 | + | 0.501060i | ||||
\(960\) | 12.4346 | − | 0.510592i | 0.401325 | − | 0.0164793i | ||||
\(961\) | 7.17602 | + | 1.52531i | 0.231484 | + | 0.0492035i | ||||
\(962\) | −23.7314 | − | 15.4114i | −0.765131 | − | 0.496882i | ||||
\(963\) | −14.7876 | − | 9.60320i | −0.476525 | − | 0.309459i | ||||
\(964\) | 1.16384 | + | 0.247382i | 0.0374848 | + | 0.00796765i | ||||
\(965\) | 25.4213 | − | 20.1135i | 0.818340 | − | 0.647478i | ||||
\(966\) | −8.19960 | + | 4.46984i | −0.263818 | + | 0.143815i | ||||
\(967\) | −19.7981 | + | 3.13572i | −0.636665 | + | 0.100838i | −0.466419 | − | 0.884564i | \(-0.654456\pi\) |
−0.170246 | + | 0.985402i | \(0.554456\pi\) | |||||||
\(968\) | 5.61286 | − | 1.50396i | 0.180404 | − | 0.0483392i | ||||
\(969\) | −0.305403 | + | 2.90572i | −0.00981097 | + | 0.0933451i | ||||
\(970\) | −39.4998 | − | 8.86446i | −1.26826 | − | 0.284621i | ||||
\(971\) | −20.9942 | + | 2.20658i | −0.673737 | + | 0.0708126i | −0.435218 | − | 0.900325i | \(-0.643329\pi\) |
−0.238519 | + | 0.971138i | \(0.576662\pi\) | |||||||
\(972\) | −2.09406 | − | 0.331666i | −0.0671670 | − | 0.0106382i | ||||
\(973\) | 14.6135 | + | 12.4388i | 0.468487 | + | 0.398769i | ||||
\(974\) | − | 16.4741i | − | 0.527864i | ||||||
\(975\) | −9.58938 | + | 20.2890i | −0.307106 | + | 0.649768i | ||||
\(976\) | −11.6833 | + | 6.74533i | −0.373972 | + | 0.215913i | ||||
\(977\) | −2.04661 | − | 39.0516i | −0.0654768 | − | 1.24937i | −0.811859 | − | 0.583854i | \(-0.801544\pi\) |
0.746382 | − | 0.665518i | \(-0.231789\pi\) | |||||||
\(978\) | 10.5561 | + | 8.54820i | 0.337548 | + | 0.273341i | ||||
\(979\) | 5.02349 | − | 3.64978i | 0.160551 | − | 0.116647i | ||||
\(980\) | 0.102045 | + | 2.29712i | 0.00325971 | + | 0.0733788i | ||||
\(981\) | −26.6432 | − | 19.3574i | −0.850652 | − | 0.618035i | ||||
\(982\) | −11.3304 | − | 42.2858i | −0.361569 | − | 1.34939i | ||||
\(983\) | 22.4968 | + | 27.7813i | 0.717538 | + | 0.886086i | 0.997259 | − | 0.0739958i | \(-0.0235751\pi\) |
−0.279721 | + | 0.960081i | \(0.590242\pi\) | |||||||
\(984\) | 2.39489 | + | 11.2671i | 0.0763464 | + | 0.359181i | ||||
\(985\) | 23.0370 | − | 22.5213i | 0.734021 | − | 0.717587i | ||||
\(986\) | 8.89616 | − | 2.89054i | 0.283311 | − | 0.0920535i | ||||
\(987\) | 1.99228 | + | 8.23753i | 0.0634149 | + | 0.262203i | ||||
\(988\) | −4.01247 | + | 2.04446i | −0.127654 | + | 0.0650428i | ||||
\(989\) | −3.59439 | + | 16.9103i | −0.114295 | + | 0.537715i | ||||
\(990\) | −1.79489 | + | 28.1478i | −0.0570455 | + | 0.894594i | ||||
\(991\) | −56.2408 | + | 11.9544i | −1.78655 | + | 0.379743i | −0.977986 | − | 0.208669i | \(-0.933087\pi\) |
−0.808562 | + | 0.588411i | \(0.799754\pi\) | |||||||
\(992\) | 4.79356 | + | 1.84008i | 0.152196 | + | 0.0584225i | ||||
\(993\) | −9.73272 | + | 9.73272i | −0.308859 | + | 0.308859i | ||||
\(994\) | 5.82671 | + | 31.1465i | 0.184812 | + | 0.987905i | ||||
\(995\) | −0.546197 | + | 4.68580i | −0.0173156 | + | 0.148550i | ||||
\(996\) | −0.139216 | − | 1.32455i | −0.00441124 | − | 0.0419701i | ||||
\(997\) | −18.8895 | − | 49.2089i | −0.598237 | − | 1.55846i | −0.813290 | − | 0.581858i | \(-0.802326\pi\) |
0.215053 | − | 0.976602i | \(-0.431008\pi\) | |||||||
\(998\) | −54.1927 | + | 2.84012i | −1.71544 | + | 0.0899024i | ||||
\(999\) | 5.53350 | − | 9.58430i | 0.175072 | − | 0.303234i |
(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 | 175.2.x.a.33.14 | ✓ | 288 | |
5.2 | odd | 4 | 875.2.bb.b.607.14 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.607.5 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.768.5 | 288 | |||
7.3 | odd | 6 | inner | 175.2.x.a.108.14 | yes | 288 | |
25.3 | odd | 20 | 875.2.bb.c.257.5 | 288 | |||
25.4 | even | 10 | 875.2.bb.a.243.14 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.243.5 | 288 | |||
25.22 | odd | 20 | inner | 175.2.x.a.47.14 | yes | 288 | |
35.3 | even | 12 | 875.2.bb.a.857.14 | 288 | |||
35.17 | even | 12 | 875.2.bb.b.857.5 | 288 | |||
35.24 | odd | 6 | 875.2.bb.c.143.5 | 288 | |||
175.3 | even | 60 | 875.2.bb.c.507.5 | 288 | |||
175.122 | even | 60 | inner | 175.2.x.a.122.14 | yes | 288 | |
175.129 | odd | 30 | 875.2.bb.a.493.5 | 288 | |||
175.171 | odd | 30 | 875.2.bb.b.493.14 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.14 | ✓ | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.47.14 | yes | 288 | 25.22 | odd | 20 | inner | |
175.2.x.a.108.14 | yes | 288 | 7.3 | odd | 6 | inner | |
175.2.x.a.122.14 | yes | 288 | 175.122 | even | 60 | inner | |
875.2.bb.a.243.14 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.493.5 | 288 | 175.129 | odd | 30 | |||
875.2.bb.a.607.5 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.857.14 | 288 | 35.3 | even | 12 | |||
875.2.bb.b.243.5 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.493.14 | 288 | 175.171 | odd | 30 | |||
875.2.bb.b.607.14 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.857.5 | 288 | 35.17 | even | 12 | |||
875.2.bb.c.143.5 | 288 | 35.24 | odd | 6 | |||
875.2.bb.c.257.5 | 288 | 25.3 | odd | 20 | |||
875.2.bb.c.507.5 | 288 | 175.3 | even | 60 | |||
875.2.bb.c.768.5 | 288 | 5.4 | even | 2 |