Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(49,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.15 | ||
Character | \(\chi\) | \(=\) | 430.49 |
Dual form | 430.2.j.a.79.4 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −1.13990 | − | 0.658124i | −0.658124 | − | 0.379968i | 0.133438 | − | 0.991057i | \(-0.457398\pi\) |
−0.791562 | + | 0.611089i | \(0.790732\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 2.09493 | + | 0.781842i | 0.936880 | + | 0.349650i | ||||
\(6\) | 0.658124 | − | 1.13990i | 0.268678 | − | 0.465364i | ||||
\(7\) | 3.46526 | − | 2.00067i | 1.30975 | − | 0.756182i | 0.327692 | − | 0.944785i | \(-0.393729\pi\) |
0.982054 | + | 0.188602i | \(0.0603958\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.633745 | − | 1.09768i | −0.211248 | − | 0.365893i | ||||
\(10\) | −0.781842 | + | 2.09493i | −0.247240 | + | 0.662474i | ||||
\(11\) | −4.54340 | −1.36989 | −0.684944 | − | 0.728596i | \(-0.740173\pi\) | ||||
−0.684944 | + | 0.728596i | \(0.740173\pi\) | |||||||
\(12\) | 1.13990 | + | 0.658124i | 0.329062 | + | 0.189984i | ||||
\(13\) | −0.344070 | + | 0.198649i | −0.0954278 | + | 0.0550953i | −0.546954 | − | 0.837162i | \(-0.684213\pi\) |
0.451527 | + | 0.892258i | \(0.350880\pi\) | |||||||
\(14\) | 2.00067 | + | 3.46526i | 0.534701 | + | 0.926130i | ||||
\(15\) | −1.87347 | − | 2.26995i | −0.483728 | − | 0.586098i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.13493 | − | 2.96465i | 1.24540 | − | 0.719033i | 0.275213 | − | 0.961383i | \(-0.411252\pi\) |
0.970189 | + | 0.242350i | \(0.0779182\pi\) | |||||||
\(18\) | 1.09768 | − | 0.633745i | 0.258725 | − | 0.149375i | ||||
\(19\) | 3.29530 | − | 5.70763i | 0.755994 | − | 1.30942i | −0.188884 | − | 0.981999i | \(-0.560487\pi\) |
0.944878 | − | 0.327421i | \(-0.106180\pi\) | |||||||
\(20\) | −2.09493 | − | 0.781842i | −0.468440 | − | 0.174825i | ||||
\(21\) | −5.26676 | −1.14930 | ||||||||
\(22\) | − | 4.54340i | − | 0.968656i | ||||||
\(23\) | 0.205900 | + | 0.118876i | 0.0429330 | + | 0.0247874i | 0.521313 | − | 0.853366i | \(-0.325442\pi\) |
−0.478380 | + | 0.878153i | \(0.658776\pi\) | |||||||
\(24\) | −0.658124 | + | 1.13990i | −0.134339 | + | 0.232682i | ||||
\(25\) | 3.77745 | + | 3.27581i | 0.755489 | + | 0.655161i | ||||
\(26\) | −0.198649 | − | 0.344070i | −0.0389582 | − | 0.0674776i | ||||
\(27\) | 5.61708i | 1.08101i | ||||||||
\(28\) | −3.46526 | + | 2.00067i | −0.654873 | + | 0.378091i | ||||
\(29\) | 3.62561 | + | 6.27974i | 0.673259 | + | 1.16612i | 0.976974 | + | 0.213356i | \(0.0684395\pi\) |
−0.303715 | + | 0.952763i | \(0.598227\pi\) | |||||||
\(30\) | 2.26995 | − | 1.87347i | 0.414434 | − | 0.342047i | ||||
\(31\) | 3.00068 | − | 5.19733i | 0.538938 | − | 0.933468i | −0.460024 | − | 0.887907i | \(-0.652159\pi\) |
0.998962 | − | 0.0455613i | \(-0.0145076\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 5.17904 | + | 2.99012i | 0.901556 | + | 0.520514i | ||||
\(34\) | 2.96465 | + | 5.13493i | 0.508433 | + | 0.880632i | ||||
\(35\) | 8.82368 | − | 1.48197i | 1.49147 | − | 0.250499i | ||||
\(36\) | 0.633745 | + | 1.09768i | 0.105624 | + | 0.182946i | ||||
\(37\) | 5.13633 | + | 2.96546i | 0.844407 | + | 0.487518i | 0.858760 | − | 0.512379i | \(-0.171236\pi\) |
−0.0143529 | + | 0.999897i | \(0.504569\pi\) | |||||||
\(38\) | 5.70763 | + | 3.29530i | 0.925900 | + | 0.534569i | ||||
\(39\) | 0.522942 | 0.0837378 | ||||||||
\(40\) | 0.781842 | − | 2.09493i | 0.123620 | − | 0.331237i | ||||
\(41\) | −7.91990 | −1.23688 | −0.618440 | − | 0.785832i | \(-0.712235\pi\) | ||||
−0.618440 | + | 0.785832i | \(0.712235\pi\) | |||||||
\(42\) | − | 5.26676i | − | 0.812678i | ||||||
\(43\) | −0.0743880 | + | 6.55702i | −0.0113441 | + | 0.999936i | ||||
\(44\) | 4.54340 | 0.684944 | ||||||||
\(45\) | −0.469438 | − | 2.79504i | −0.0699798 | − | 0.416661i | ||||
\(46\) | −0.118876 | + | 0.205900i | −0.0175273 | + | 0.0303582i | ||||
\(47\) | − | 7.24856i | − | 1.05731i | −0.848836 | − | 0.528656i | \(-0.822696\pi\) | ||
0.848836 | − | 0.528656i | \(-0.177304\pi\) | |||||||
\(48\) | −1.13990 | − | 0.658124i | −0.164531 | − | 0.0949921i | ||||
\(49\) | 4.50536 | − | 7.80351i | 0.643623 | − | 1.11479i | ||||
\(50\) | −3.27581 | + | 3.77745i | −0.463269 | + | 0.534211i | ||||
\(51\) | −7.80443 | −1.09284 | ||||||||
\(52\) | 0.344070 | − | 0.198649i | 0.0477139 | − | 0.0275476i | ||||
\(53\) | −3.99163 | − | 2.30457i | −0.548293 | − | 0.316557i | 0.200140 | − | 0.979767i | \(-0.435860\pi\) |
−0.748433 | + | 0.663210i | \(0.769194\pi\) | |||||||
\(54\) | −5.61708 | −0.764387 | ||||||||
\(55\) | −9.51810 | − | 3.55222i | −1.28342 | − | 0.478982i | ||||
\(56\) | −2.00067 | − | 3.46526i | −0.267351 | − | 0.463065i | ||||
\(57\) | −7.51266 | + | 4.33744i | −0.995077 | + | 0.574508i | ||||
\(58\) | −6.27974 | + | 3.62561i | −0.824571 | + | 0.476066i | ||||
\(59\) | −4.15283 | −0.540652 | −0.270326 | − | 0.962769i | \(-0.587132\pi\) | ||||
−0.270326 | + | 0.962769i | \(0.587132\pi\) | |||||||
\(60\) | 1.87347 | + | 2.26995i | 0.241864 | + | 0.293049i | ||||
\(61\) | 1.46507 | + | 2.53758i | 0.187583 | + | 0.324904i | 0.944444 | − | 0.328672i | \(-0.106601\pi\) |
−0.756861 | + | 0.653576i | \(0.773268\pi\) | |||||||
\(62\) | 5.19733 | + | 3.00068i | 0.660062 | + | 0.381087i | ||||
\(63\) | −4.39218 | − | 2.53583i | −0.553363 | − | 0.319484i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.876113 | + | 0.147147i | −0.108668 | + | 0.0182513i | ||||
\(66\) | −2.99012 | + | 5.17904i | −0.368059 | + | 0.637496i | ||||
\(67\) | −3.57089 | − | 2.06166i | −0.436254 | − | 0.251871i | 0.265753 | − | 0.964041i | \(-0.414379\pi\) |
−0.702007 | + | 0.712170i | \(0.747713\pi\) | |||||||
\(68\) | −5.13493 | + | 2.96465i | −0.622701 | + | 0.359517i | ||||
\(69\) | −0.156471 | − | 0.271015i | −0.0188369 | − | 0.0326264i | ||||
\(70\) | 1.48197 | + | 8.82368i | 0.177129 | + | 1.05463i | ||||
\(71\) | 1.50077 | + | 2.59941i | 0.178109 | + | 0.308493i | 0.941233 | − | 0.337759i | \(-0.109669\pi\) |
−0.763124 | + | 0.646252i | \(0.776335\pi\) | |||||||
\(72\) | −1.09768 | + | 0.633745i | −0.129363 | + | 0.0746875i | ||||
\(73\) | 8.61166 | − | 4.97194i | 1.00792 | − | 0.581922i | 0.0973366 | − | 0.995252i | \(-0.468968\pi\) |
0.910581 | + | 0.413330i | \(0.135634\pi\) | |||||||
\(74\) | −2.96546 | + | 5.13633i | −0.344728 | + | 0.597086i | ||||
\(75\) | −2.15004 | − | 6.22014i | −0.248265 | − | 0.718239i | ||||
\(76\) | −3.29530 | + | 5.70763i | −0.377997 | + | 0.654710i | ||||
\(77\) | −15.7441 | + | 9.08985i | −1.79420 | + | 1.03588i | ||||
\(78\) | 0.522942i | 0.0592116i | ||||||||
\(79\) | −5.74385 | − | 9.94864i | −0.646234 | − | 1.11931i | −0.984015 | − | 0.178085i | \(-0.943010\pi\) |
0.337782 | − | 0.941225i | \(-0.390323\pi\) | |||||||
\(80\) | 2.09493 | + | 0.781842i | 0.234220 | + | 0.0874126i | ||||
\(81\) | 1.79550 | − | 3.10990i | 0.199500 | − | 0.345544i | ||||
\(82\) | − | 7.91990i | − | 0.874607i | ||||||
\(83\) | 1.52685 | + | 0.881529i | 0.167594 | + | 0.0967604i | 0.581451 | − | 0.813582i | \(-0.302485\pi\) |
−0.413857 | + | 0.910342i | \(0.635819\pi\) | |||||||
\(84\) | 5.26676 | 0.574650 | ||||||||
\(85\) | 13.0752 | − | 2.19603i | 1.41820 | − | 0.238193i | ||||
\(86\) | −6.55702 | − | 0.0743880i | −0.707061 | − | 0.00802147i | ||||
\(87\) | − | 9.54441i | − | 1.02327i | ||||||
\(88\) | 4.54340i | 0.484328i | ||||||||
\(89\) | −7.40713 | + | 12.8295i | −0.785154 | + | 1.35993i | 0.143753 | + | 0.989614i | \(0.454083\pi\) |
−0.928907 | + | 0.370313i | \(0.879251\pi\) | |||||||
\(90\) | 2.79504 | − | 0.469438i | 0.294624 | − | 0.0494832i | ||||
\(91\) | −0.794861 | + | 1.37674i | −0.0833241 | + | 0.144322i | ||||
\(92\) | −0.205900 | − | 0.118876i | −0.0214665 | − | 0.0123937i | ||||
\(93\) | −6.84098 | + | 3.94964i | −0.709376 | + | 0.409559i | ||||
\(94\) | 7.24856 | 0.747632 | ||||||||
\(95\) | 11.3659 | − | 9.38067i | 1.16612 | − | 0.962437i | ||||
\(96\) | 0.658124 | − | 1.13990i | 0.0671695 | − | 0.116341i | ||||
\(97\) | 7.92017i | 0.804171i | 0.915602 | + | 0.402086i | \(0.131715\pi\) | ||||
−0.915602 | + | 0.402086i | \(0.868285\pi\) | |||||||
\(98\) | 7.80351 | + | 4.50536i | 0.788274 | + | 0.455110i | ||||
\(99\) | 2.87936 | + | 4.98719i | 0.289386 | + | 0.501232i | ||||
\(100\) | −3.77745 | − | 3.27581i | −0.377745 | − | 0.327581i | ||||
\(101\) | −6.01443 | − | 10.4173i | −0.598459 | − | 1.03656i | −0.993049 | − | 0.117703i | \(-0.962447\pi\) |
0.394590 | − | 0.918857i | \(-0.370887\pi\) | |||||||
\(102\) | − | 7.80443i | − | 0.772754i | ||||||
\(103\) | −14.6365 | + | 8.45040i | −1.44218 | + | 0.832642i | −0.997995 | − | 0.0632933i | \(-0.979840\pi\) |
−0.444184 | + | 0.895936i | \(0.646506\pi\) | |||||||
\(104\) | 0.198649 | + | 0.344070i | 0.0194791 | + | 0.0337388i | ||||
\(105\) | −11.0335 | − | 4.11777i | −1.07676 | − | 0.401854i | ||||
\(106\) | 2.30457 | − | 3.99163i | 0.223840 | − | 0.387702i | ||||
\(107\) | 14.2763i | 1.38014i | 0.723743 | + | 0.690069i | \(0.242420\pi\) | ||||
−0.723743 | + | 0.690069i | \(0.757580\pi\) | |||||||
\(108\) | − | 5.61708i | − | 0.540504i | ||||||
\(109\) | −5.50669 | + | 9.53787i | −0.527445 | + | 0.913562i | 0.472043 | + | 0.881576i | \(0.343517\pi\) |
−0.999488 | + | 0.0319867i | \(0.989817\pi\) | |||||||
\(110\) | 3.55222 | − | 9.51810i | 0.338691 | − | 0.907515i | ||||
\(111\) | −3.90328 | − | 6.76068i | −0.370483 | − | 0.641696i | ||||
\(112\) | 3.46526 | − | 2.00067i | 0.327436 | − | 0.189046i | ||||
\(113\) | 12.0708i | 1.13552i | 0.823194 | + | 0.567761i | \(0.192190\pi\) | ||||
−0.823194 | + | 0.567761i | \(0.807810\pi\) | |||||||
\(114\) | −4.33744 | − | 7.51266i | −0.406238 | − | 0.703625i | ||||
\(115\) | 0.338402 | + | 0.410018i | 0.0315562 | + | 0.0382344i | ||||
\(116\) | −3.62561 | − | 6.27974i | −0.336630 | − | 0.583060i | ||||
\(117\) | 0.436105 | + | 0.251785i | 0.0403179 | + | 0.0232776i | ||||
\(118\) | − | 4.15283i | − | 0.382299i | ||||||
\(119\) | 11.8626 | − | 20.5466i | 1.08744 | − | 1.88350i | ||||
\(120\) | −2.26995 | + | 1.87347i | −0.207217 | + | 0.171024i | ||||
\(121\) | 9.64250 | 0.876591 | ||||||||
\(122\) | −2.53758 | + | 1.46507i | −0.229742 | + | 0.132642i | ||||
\(123\) | 9.02793 | + | 5.21228i | 0.814021 | + | 0.469975i | ||||
\(124\) | −3.00068 | + | 5.19733i | −0.269469 | + | 0.466734i | ||||
\(125\) | 5.35231 | + | 9.81594i | 0.478725 | + | 0.877965i | ||||
\(126\) | 2.53583 | − | 4.39218i | 0.225909 | − | 0.391287i | ||||
\(127\) | − | 10.3533i | − | 0.918706i | −0.888254 | − | 0.459353i | \(-0.848081\pi\) | ||
0.888254 | − | 0.459353i | \(-0.151919\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 4.40013 | − | 7.42542i | 0.387410 | − | 0.653772i | ||||
\(130\) | −0.147147 | − | 0.876113i | −0.0129056 | − | 0.0768402i | ||||
\(131\) | −1.81597 | −0.158662 | −0.0793310 | − | 0.996848i | \(-0.525278\pi\) | ||||
−0.0793310 | + | 0.996848i | \(0.525278\pi\) | |||||||
\(132\) | −5.17904 | − | 2.99012i | −0.450778 | − | 0.260257i | ||||
\(133\) | − | 26.3713i | − | 2.28668i | ||||||
\(134\) | 2.06166 | − | 3.57089i | 0.178100 | − | 0.308478i | ||||
\(135\) | −4.39167 | + | 11.7674i | −0.377975 | + | 1.01277i | ||||
\(136\) | −2.96465 | − | 5.13493i | −0.254217 | − | 0.440316i | ||||
\(137\) | 12.8025i | 1.09379i | 0.837200 | + | 0.546897i | \(0.184191\pi\) | ||||
−0.837200 | + | 0.546897i | \(0.815809\pi\) | |||||||
\(138\) | 0.271015 | − | 0.156471i | 0.0230703 | − | 0.0133197i | ||||
\(139\) | 7.03293 | − | 12.1814i | 0.596525 | − | 1.03321i | −0.396804 | − | 0.917903i | \(-0.629881\pi\) |
0.993330 | − | 0.115309i | \(-0.0367858\pi\) | |||||||
\(140\) | −8.82368 | + | 1.48197i | −0.745737 | + | 0.125249i | ||||
\(141\) | −4.77045 | + | 8.26267i | −0.401745 | + | 0.695842i | ||||
\(142\) | −2.59941 | + | 1.50077i | −0.218138 | + | 0.125942i | ||||
\(143\) | 1.56325 | − | 0.902541i | 0.130725 | − | 0.0754743i | ||||
\(144\) | −0.633745 | − | 1.09768i | −0.0528121 | − | 0.0914732i | ||||
\(145\) | 2.68563 | + | 15.9903i | 0.223029 | + | 1.32792i | ||||
\(146\) | 4.97194 | + | 8.61166i | 0.411481 | + | 0.712706i | ||||
\(147\) | −10.2714 | + | 5.93017i | −0.847167 | + | 0.489112i | ||||
\(148\) | −5.13633 | − | 2.96546i | −0.422203 | − | 0.243759i | ||||
\(149\) | −3.27337 | + | 5.66965i | −0.268165 | + | 0.464476i | −0.968388 | − | 0.249449i | \(-0.919751\pi\) |
0.700223 | + | 0.713924i | \(0.253084\pi\) | |||||||
\(150\) | 6.22014 | − | 2.15004i | 0.507872 | − | 0.175550i | ||||
\(151\) | −8.97394 | −0.730289 | −0.365145 | − | 0.930951i | \(-0.618980\pi\) | ||||
−0.365145 | + | 0.930951i | \(0.618980\pi\) | |||||||
\(152\) | −5.70763 | − | 3.29530i | −0.462950 | − | 0.267284i | ||||
\(153\) | −6.50846 | − | 3.75766i | −0.526178 | − | 0.303789i | ||||
\(154\) | −9.08985 | − | 15.7441i | −0.732481 | − | 1.26869i | ||||
\(155\) | 10.3497 | − | 8.54197i | 0.831308 | − | 0.686108i | ||||
\(156\) | −0.522942 | −0.0418689 | ||||||||
\(157\) | 4.74190 | − | 2.73774i | 0.378445 | − | 0.218495i | −0.298697 | − | 0.954348i | \(-0.596552\pi\) |
0.677141 | + | 0.735853i | \(0.263219\pi\) | |||||||
\(158\) | 9.94864 | − | 5.74385i | 0.791471 | − | 0.456956i | ||||
\(159\) | 3.03339 | + | 5.25398i | 0.240563 | + | 0.416668i | ||||
\(160\) | −0.781842 | + | 2.09493i | −0.0618101 | + | 0.165619i | ||||
\(161\) | 0.951328 | 0.0749752 | ||||||||
\(162\) | 3.10990 | + | 1.79550i | 0.244337 | + | 0.141068i | ||||
\(163\) | 4.65240 | − | 2.68607i | 0.364404 | − | 0.210389i | −0.306607 | − | 0.951836i | \(-0.599194\pi\) |
0.671011 | + | 0.741447i | \(0.265860\pi\) | |||||||
\(164\) | 7.91990 | 0.618440 | ||||||||
\(165\) | 8.51192 | + | 10.3133i | 0.662652 | + | 0.802888i | ||||
\(166\) | −0.881529 | + | 1.52685i | −0.0684200 | + | 0.118507i | ||||
\(167\) | 9.19249 | + | 5.30729i | 0.711336 | + | 0.410690i | 0.811556 | − | 0.584275i | \(-0.198621\pi\) |
−0.100219 | + | 0.994965i | \(0.531954\pi\) | |||||||
\(168\) | 5.26676i | 0.406339i | ||||||||
\(169\) | −6.42108 | + | 11.1216i | −0.493929 | + | 0.855510i | ||||
\(170\) | 2.19603 | + | 13.0752i | 0.168428 | + | 1.00282i | ||||
\(171\) | −8.35352 | −0.638810 | ||||||||
\(172\) | 0.0743880 | − | 6.55702i | 0.00567204 | − | 0.499968i | ||||
\(173\) | − | 24.9229i | − | 1.89485i | −0.319974 | − | 0.947426i | \(-0.603674\pi\) | ||
0.319974 | − | 0.947426i | \(-0.396326\pi\) | |||||||
\(174\) | 9.54441 | 0.723560 | ||||||||
\(175\) | 19.6436 | + | 3.79410i | 1.48492 | + | 0.286807i | ||||
\(176\) | −4.54340 | −0.342472 | ||||||||
\(177\) | 4.73383 | + | 2.73308i | 0.355816 | + | 0.205431i | ||||
\(178\) | −12.8295 | − | 7.40713i | −0.961613 | − | 0.555188i | ||||
\(179\) | 2.34878 | + | 4.06820i | 0.175556 | + | 0.304072i | 0.940354 | − | 0.340199i | \(-0.110494\pi\) |
−0.764798 | + | 0.644271i | \(0.777161\pi\) | |||||||
\(180\) | 0.469438 | + | 2.79504i | 0.0349899 | + | 0.208330i | ||||
\(181\) | 5.45913 | + | 9.45550i | 0.405774 | + | 0.702822i | 0.994411 | − | 0.105576i | \(-0.0336686\pi\) |
−0.588637 | + | 0.808397i | \(0.700335\pi\) | |||||||
\(182\) | −1.37674 | − | 0.794861i | −0.102051 | − | 0.0589190i | ||||
\(183\) | − | 3.85680i | − | 0.285103i | ||||||
\(184\) | 0.118876 | − | 0.205900i | 0.00876367 | − | 0.0151791i | ||||
\(185\) | 8.44171 | + | 10.2282i | 0.620647 | + | 0.751994i | ||||
\(186\) | −3.94964 | − | 6.84098i | −0.289602 | − | 0.501605i | ||||
\(187\) | −23.3300 | + | 13.4696i | −1.70606 | + | 0.984994i | ||||
\(188\) | 7.24856i | 0.528656i | ||||||||
\(189\) | 11.2379 | + | 19.4646i | 0.817438 | + | 1.41584i | ||||
\(190\) | 9.38067 | + | 11.3659i | 0.680545 | + | 0.824568i | ||||
\(191\) | 3.78228 | − | 6.55110i | 0.273676 | − | 0.474021i | −0.696124 | − | 0.717922i | \(-0.745094\pi\) |
0.969800 | + | 0.243900i | \(0.0784270\pi\) | |||||||
\(192\) | 1.13990 | + | 0.658124i | 0.0822655 | + | 0.0474960i | ||||
\(193\) | − | 6.28311i | − | 0.452268i | −0.974096 | − | 0.226134i | \(-0.927391\pi\) | ||
0.974096 | − | 0.226134i | \(-0.0726088\pi\) | |||||||
\(194\) | −7.92017 | −0.568635 | ||||||||
\(195\) | 1.09553 | + | 0.408858i | 0.0784523 | + | 0.0292790i | ||||
\(196\) | −4.50536 | + | 7.80351i | −0.321811 | + | 0.557394i | ||||
\(197\) | −1.75258 | + | 1.01185i | −0.124866 | + | 0.0720916i | −0.561132 | − | 0.827726i | \(-0.689634\pi\) |
0.436266 | + | 0.899818i | \(0.356301\pi\) | |||||||
\(198\) | −4.98719 | + | 2.87936i | −0.354424 | + | 0.204627i | ||||
\(199\) | 12.6142 | 0.894197 | 0.447098 | − | 0.894485i | \(-0.352457\pi\) | ||||
0.447098 | + | 0.894485i | \(0.352457\pi\) | |||||||
\(200\) | 3.27581 | − | 3.77745i | 0.231634 | − | 0.267106i | ||||
\(201\) | 2.71365 | + | 4.70018i | 0.191406 | + | 0.331525i | ||||
\(202\) | 10.4173 | − | 6.01443i | 0.732959 | − | 0.423174i | ||||
\(203\) | 25.1274 | + | 14.5073i | 1.76360 | + | 1.01821i | ||||
\(204\) | 7.80443 | 0.546420 | ||||||||
\(205\) | −16.5916 | − | 6.19211i | −1.15881 | − | 0.432476i | ||||
\(206\) | −8.45040 | − | 14.6365i | −0.588767 | − | 1.01977i | ||||
\(207\) | − | 0.301349i | − | 0.0209452i | ||||||
\(208\) | −0.344070 | + | 0.198649i | −0.0238569 | + | 0.0137738i | ||||
\(209\) | −14.9719 | + | 25.9321i | −1.03563 | + | 1.79376i | ||||
\(210\) | 4.11777 | − | 11.0335i | 0.284153 | − | 0.761382i | ||||
\(211\) | −26.6725 | −1.83621 | −0.918104 | − | 0.396339i | \(-0.870280\pi\) | ||||
−0.918104 | + | 0.396339i | \(0.870280\pi\) | |||||||
\(212\) | 3.99163 | + | 2.30457i | 0.274146 | + | 0.158279i | ||||
\(213\) | − | 3.95077i | − | 0.270703i | ||||||
\(214\) | −14.2763 | −0.975905 | ||||||||
\(215\) | −5.28239 | + | 13.6783i | −0.360256 | + | 0.932853i | ||||
\(216\) | 5.61708 | 0.382194 | ||||||||
\(217\) | − | 24.0135i | − | 1.63014i | ||||||
\(218\) | −9.53787 | − | 5.50669i | −0.645986 | − | 0.372960i | ||||
\(219\) | −13.0886 | −0.884447 | ||||||||
\(220\) | 9.51810 | + | 3.55222i | 0.641710 | + | 0.239491i | ||||
\(221\) | −1.17785 | + | 2.04009i | −0.0792306 | + | 0.137232i | ||||
\(222\) | 6.76068 | − | 3.90328i | 0.453747 | − | 0.261971i | ||||
\(223\) | − | 3.84306i | − | 0.257350i | −0.991687 | − | 0.128675i | \(-0.958928\pi\) | ||
0.991687 | − | 0.128675i | \(-0.0410724\pi\) | |||||||
\(224\) | 2.00067 | + | 3.46526i | 0.133675 | + | 0.231533i | ||||
\(225\) | 1.20184 | − | 6.22244i | 0.0801230 | − | 0.414830i | ||||
\(226\) | −12.0708 | −0.802935 | ||||||||
\(227\) | 19.4469 | + | 11.2277i | 1.29074 | + | 0.745208i | 0.978785 | − | 0.204889i | \(-0.0656833\pi\) |
0.311954 | + | 0.950097i | \(0.399017\pi\) | |||||||
\(228\) | 7.51266 | − | 4.33744i | 0.497538 | − | 0.287254i | ||||
\(229\) | −4.29832 | − | 7.44490i | −0.284041 | − | 0.491973i | 0.688335 | − | 0.725393i | \(-0.258342\pi\) |
−0.972376 | + | 0.233420i | \(0.925008\pi\) | |||||||
\(230\) | −0.410018 | + | 0.338402i | −0.0270358 | + | 0.0223136i | ||||
\(231\) | 23.9290 | 1.57441 | ||||||||
\(232\) | 6.27974 | − | 3.62561i | 0.412285 | − | 0.238033i | ||||
\(233\) | 14.1980 | − | 8.19720i | 0.930140 | − | 0.537016i | 0.0432840 | − | 0.999063i | \(-0.486218\pi\) |
0.886856 | + | 0.462046i | \(0.152885\pi\) | |||||||
\(234\) | −0.251785 | + | 0.436105i | −0.0164597 | + | 0.0285091i | ||||
\(235\) | 5.66723 | − | 15.1852i | 0.369689 | − | 0.990574i | ||||
\(236\) | 4.15283 | 0.270326 | ||||||||
\(237\) | 15.1207i | 0.982193i | ||||||||
\(238\) | 20.5466 | + | 11.8626i | 1.33184 | + | 0.768936i | ||||
\(239\) | −13.1099 | + | 22.7070i | −0.848009 | + | 1.46879i | 0.0349739 | + | 0.999388i | \(0.488865\pi\) |
−0.882983 | + | 0.469406i | \(0.844468\pi\) | |||||||
\(240\) | −1.87347 | − | 2.26995i | −0.120932 | − | 0.146525i | ||||
\(241\) | −12.1780 | − | 21.0930i | −0.784456 | − | 1.35872i | −0.929323 | − | 0.369267i | \(-0.879609\pi\) |
0.144867 | − | 0.989451i | \(-0.453725\pi\) | |||||||
\(242\) | 9.64250i | 0.619843i | ||||||||
\(243\) | 10.5002 | − | 6.06229i | 0.673588 | − | 0.388896i | ||||
\(244\) | −1.46507 | − | 2.53758i | −0.0937917 | − | 0.162452i | ||||
\(245\) | 15.5395 | − | 12.8253i | 0.992783 | − | 0.819379i | ||||
\(246\) | −5.21228 | + | 9.02793i | −0.332323 | + | 0.575600i | ||||
\(247\) | 2.61843i | 0.166607i | ||||||||
\(248\) | −5.19733 | − | 3.00068i | −0.330031 | − | 0.190543i | ||||
\(249\) | −1.16031 | − | 2.00972i | −0.0735318 | − | 0.127361i | ||||
\(250\) | −9.81594 | + | 5.35231i | −0.620815 | + | 0.338510i | ||||
\(251\) | 12.0420 | + | 20.8574i | 0.760085 | + | 1.31651i | 0.942806 | + | 0.333341i | \(0.108176\pi\) |
−0.182722 | + | 0.983165i | \(0.558491\pi\) | |||||||
\(252\) | 4.39218 | + | 2.53583i | 0.276681 | + | 0.159742i | ||||
\(253\) | −0.935485 | − | 0.540102i | −0.0588134 | − | 0.0339559i | ||||
\(254\) | 10.3533 | 0.649623 | ||||||||
\(255\) | −16.3497 | − | 6.10184i | −1.02386 | − | 0.382112i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.70281i | 0.230975i | 0.993309 | + | 0.115488i | \(0.0368430\pi\) | ||||
−0.993309 | + | 0.115488i | \(0.963157\pi\) | |||||||
\(258\) | 7.42542 | + | 4.40013i | 0.462286 | + | 0.273940i | ||||
\(259\) | 23.7316 | 1.47461 | ||||||||
\(260\) | 0.876113 | − | 0.147147i | 0.0543342 | − | 0.00912564i | ||||
\(261\) | 4.59542 | − | 7.95951i | 0.284450 | − | 0.492681i | ||||
\(262\) | − | 1.81597i | − | 0.112191i | ||||||
\(263\) | −5.60091 | − | 3.23369i | −0.345367 | − | 0.199398i | 0.317276 | − | 0.948333i | \(-0.397232\pi\) |
−0.662643 | + | 0.748936i | \(0.730565\pi\) | |||||||
\(264\) | 2.99012 | − | 5.17904i | 0.184029 | − | 0.318748i | ||||
\(265\) | −6.56037 | − | 7.94873i | −0.403000 | − | 0.488287i | ||||
\(266\) | 26.3713 | 1.61693 | ||||||||
\(267\) | 16.8868 | − | 9.74962i | 1.03346 | − | 0.596667i | ||||
\(268\) | 3.57089 | + | 2.06166i | 0.218127 | + | 0.125936i | ||||
\(269\) | 15.4212 | 0.940250 | 0.470125 | − | 0.882600i | \(-0.344209\pi\) | ||||
0.470125 | + | 0.882600i | \(0.344209\pi\) | |||||||
\(270\) | −11.7674 | − | 4.39167i | −0.716139 | − | 0.267268i | ||||
\(271\) | 8.99623 | + | 15.5819i | 0.546482 | + | 0.946535i | 0.998512 | + | 0.0545322i | \(0.0173667\pi\) |
−0.452030 | + | 0.892003i | \(0.649300\pi\) | |||||||
\(272\) | 5.13493 | − | 2.96465i | 0.311351 | − | 0.179758i | ||||
\(273\) | 1.81213 | − | 1.04623i | 0.109675 | − | 0.0633210i | ||||
\(274\) | −12.8025 | −0.773429 | ||||||||
\(275\) | −17.1625 | − | 14.8833i | −1.03493 | − | 0.897497i | ||||
\(276\) | 0.156471 | + | 0.271015i | 0.00941843 | + | 0.0163132i | ||||
\(277\) | −6.28827 | − | 3.63054i | −0.377826 | − | 0.218138i | 0.299046 | − | 0.954239i | \(-0.403332\pi\) |
−0.676872 | + | 0.736101i | \(0.736665\pi\) | |||||||
\(278\) | 12.1814 | + | 7.03293i | 0.730591 | + | 0.421807i | ||||
\(279\) | −7.60666 | −0.455399 | ||||||||
\(280\) | −1.48197 | − | 8.82368i | −0.0885647 | − | 0.527316i | ||||
\(281\) | 7.51100 | − | 13.0094i | 0.448069 | − | 0.776078i | −0.550192 | − | 0.835038i | \(-0.685445\pi\) |
0.998260 | + | 0.0589608i | \(0.0187787\pi\) | |||||||
\(282\) | −8.26267 | − | 4.77045i | −0.492035 | − | 0.284076i | ||||
\(283\) | −15.9893 | + | 9.23142i | −0.950465 | + | 0.548751i | −0.893225 | − | 0.449609i | \(-0.851563\pi\) |
−0.0572396 | + | 0.998360i | \(0.518230\pi\) | |||||||
\(284\) | −1.50077 | − | 2.59941i | −0.0890543 | − | 0.154247i | ||||
\(285\) | −19.1297 | + | 3.21290i | −1.13314 | + | 0.190316i | ||||
\(286\) | 0.902541 | + | 1.56325i | 0.0533684 | + | 0.0924367i | ||||
\(287\) | −27.4445 | + | 15.8451i | −1.62000 | + | 0.935307i | ||||
\(288\) | 1.09768 | − | 0.633745i | 0.0646813 | − | 0.0373438i | ||||
\(289\) | 9.07830 | − | 15.7241i | 0.534018 | − | 0.924946i | ||||
\(290\) | −15.9903 | + | 2.68563i | −0.938981 | + | 0.157705i | ||||
\(291\) | 5.21245 | − | 9.02824i | 0.305559 | − | 0.529245i | ||||
\(292\) | −8.61166 | + | 4.97194i | −0.503959 | + | 0.290961i | ||||
\(293\) | 17.0682i | 0.997133i | 0.866852 | + | 0.498566i | \(0.166140\pi\) | ||||
−0.866852 | + | 0.498566i | \(0.833860\pi\) | |||||||
\(294\) | −5.93017 | − | 10.2714i | −0.345855 | − | 0.599038i | ||||
\(295\) | −8.69988 | − | 3.24686i | −0.506526 | − | 0.189039i | ||||
\(296\) | 2.96546 | − | 5.13633i | 0.172364 | − | 0.298543i | ||||
\(297\) | − | 25.5206i | − | 1.48086i | ||||||
\(298\) | −5.66965 | − | 3.27337i | −0.328434 | − | 0.189621i | ||||
\(299\) | −0.0944584 | −0.00546267 | ||||||||
\(300\) | 2.15004 | + | 6.22014i | 0.124133 | + | 0.359120i | ||||
\(301\) | 12.8607 | + | 22.8706i | 0.741276 | + | 1.31824i | ||||
\(302\) | − | 8.97394i | − | 0.516392i | ||||||
\(303\) | 15.8330i | 0.909581i | ||||||||
\(304\) | 3.29530 | − | 5.70763i | 0.188999 | − | 0.327355i | ||||
\(305\) | 1.08523 | + | 6.46151i | 0.0621404 | + | 0.369985i | ||||
\(306\) | 3.75766 | − | 6.50846i | 0.214811 | − | 0.372064i | ||||
\(307\) | −4.84036 | − | 2.79458i | −0.276254 | − | 0.159495i | 0.355472 | − | 0.934687i | \(-0.384320\pi\) |
−0.631726 | + | 0.775191i | \(0.717653\pi\) | |||||||
\(308\) | 15.7441 | − | 9.08985i | 0.897102 | − | 0.517942i | ||||
\(309\) | 22.2456 | 1.26551 | ||||||||
\(310\) | 8.54197 | + | 10.3497i | 0.485151 | + | 0.587823i | ||||
\(311\) | −4.15070 | + | 7.18923i | −0.235365 | + | 0.407664i | −0.959379 | − | 0.282122i | \(-0.908962\pi\) |
0.724014 | + | 0.689785i | \(0.242295\pi\) | |||||||
\(312\) | − | 0.522942i | − | 0.0296058i | ||||||
\(313\) | 9.65465 | + | 5.57411i | 0.545713 | + | 0.315068i | 0.747391 | − | 0.664384i | \(-0.231306\pi\) |
−0.201678 | + | 0.979452i | \(0.564639\pi\) | |||||||
\(314\) | 2.73774 | + | 4.74190i | 0.154499 | + | 0.267601i | ||||
\(315\) | −7.21869 | − | 8.74637i | −0.406727 | − | 0.492802i | ||||
\(316\) | 5.74385 | + | 9.94864i | 0.323117 | + | 0.559655i | ||||
\(317\) | 18.9910i | 1.06664i | 0.845914 | + | 0.533320i | \(0.179056\pi\) | ||||
−0.845914 | + | 0.533320i | \(0.820944\pi\) | |||||||
\(318\) | −5.25398 | + | 3.03339i | −0.294629 | + | 0.170104i | ||||
\(319\) | −16.4726 | − | 28.5314i | −0.922289 | − | 1.59745i | ||||
\(320\) | −2.09493 | − | 0.781842i | −0.117110 | − | 0.0437063i | ||||
\(321\) | 9.39556 | − | 16.2736i | 0.524409 | − | 0.908303i | ||||
\(322\) | 0.951328i | 0.0530154i | ||||||||
\(323\) | − | 39.0777i | − | 2.17434i | ||||||
\(324\) | −1.79550 | + | 3.10990i | −0.0997501 | + | 0.172772i | ||||
\(325\) | −1.95044 | − | 0.376721i | −0.108191 | − | 0.0208967i | ||||
\(326\) | 2.68607 | + | 4.65240i | 0.148767 | + | 0.257673i | ||||
\(327\) | 12.5542 | − | 7.24818i | 0.694249 | − | 0.400825i | ||||
\(328\) | 7.91990i | 0.437303i | ||||||||
\(329\) | −14.5020 | − | 25.1182i | −0.799520 | − | 1.38481i | ||||
\(330\) | −10.3133 | + | 8.51192i | −0.567728 | + | 0.468566i | ||||
\(331\) | 5.59513 | + | 9.69105i | 0.307536 | + | 0.532668i | 0.977823 | − | 0.209434i | \(-0.0671622\pi\) |
−0.670287 | + | 0.742102i | \(0.733829\pi\) | |||||||
\(332\) | −1.52685 | − | 0.881529i | −0.0837970 | − | 0.0483802i | ||||
\(333\) | − | 7.51738i | − | 0.411950i | ||||||
\(334\) | −5.30729 | + | 9.19249i | −0.290402 | + | 0.502991i | ||||
\(335\) | −5.86887 | − | 7.11089i | −0.320651 | − | 0.388510i | ||||
\(336\) | −5.26676 | −0.287325 | ||||||||
\(337\) | 12.1515 | − | 7.01564i | 0.661932 | − | 0.382167i | −0.131081 | − | 0.991372i | \(-0.541845\pi\) |
0.793013 | + | 0.609205i | \(0.208511\pi\) | |||||||
\(338\) | −11.1216 | − | 6.42108i | −0.604937 | − | 0.349261i | ||||
\(339\) | 7.94406 | − | 13.7595i | 0.431462 | − | 0.747314i | ||||
\(340\) | −13.0752 | + | 2.19603i | −0.709102 | + | 0.119096i | ||||
\(341\) | −13.6333 | + | 23.6136i | −0.738284 | + | 1.27875i | ||||
\(342\) | − | 8.35352i | − | 0.451707i | ||||||
\(343\) | − | 8.04556i | − | 0.434419i | ||||||
\(344\) | 6.55702 | + | 0.0743880i | 0.353531 | + | 0.00401073i | ||||
\(345\) | −0.115904 | − | 0.690092i | −0.00624004 | − | 0.0371533i | ||||
\(346\) | 24.9229 | 1.33986 | ||||||||
\(347\) | 10.2192 | + | 5.90007i | 0.548597 | + | 0.316732i | 0.748556 | − | 0.663072i | \(-0.230748\pi\) |
−0.199959 | + | 0.979804i | \(0.564081\pi\) | |||||||
\(348\) | 9.54441i | 0.511634i | ||||||||
\(349\) | −10.6498 | + | 18.4460i | −0.570072 | + | 0.987393i | 0.426486 | + | 0.904494i | \(0.359751\pi\) |
−0.996558 | + | 0.0828992i | \(0.973582\pi\) | |||||||
\(350\) | −3.79410 | + | 19.6436i | −0.202803 | + | 1.05000i | ||||
\(351\) | −1.11583 | − | 1.93267i | −0.0595584 | − | 0.103158i | ||||
\(352\) | − | 4.54340i | − | 0.242164i | ||||||
\(353\) | −25.0918 | + | 14.4868i | −1.33550 | + | 0.771053i | −0.986137 | − | 0.165933i | \(-0.946936\pi\) |
−0.349366 | + | 0.936986i | \(0.613603\pi\) | |||||||
\(354\) | −2.73308 | + | 4.73383i | −0.145261 | + | 0.251600i | ||||
\(355\) | 1.11168 | + | 6.61894i | 0.0590017 | + | 0.351297i | ||||
\(356\) | 7.40713 | − | 12.8295i | 0.392577 | − | 0.679963i | ||||
\(357\) | −27.0444 | + | 15.6141i | −1.43134 | + | 0.826386i | ||||
\(358\) | −4.06820 | + | 2.34878i | −0.215011 | + | 0.124137i | ||||
\(359\) | −11.3758 | − | 19.7035i | −0.600393 | − | 1.03991i | −0.992762 | − | 0.120102i | \(-0.961678\pi\) |
0.392369 | − | 0.919808i | \(-0.371656\pi\) | |||||||
\(360\) | −2.79504 | + | 0.469438i | −0.147312 | + | 0.0247416i | ||||
\(361\) | −12.2180 | − | 21.1623i | −0.643055 | − | 1.11380i | ||||
\(362\) | −9.45550 | + | 5.45913i | −0.496970 | + | 0.286926i | ||||
\(363\) | −10.9915 | − | 6.34596i | −0.576906 | − | 0.333077i | ||||
\(364\) | 0.794861 | − | 1.37674i | 0.0416620 | − | 0.0721608i | ||||
\(365\) | 21.9281 | − | 3.68290i | 1.14777 | − | 0.192772i | ||||
\(366\) | 3.85680 | 0.201598 | ||||||||
\(367\) | 24.3335 | + | 14.0490i | 1.27020 | + | 0.733350i | 0.975025 | − | 0.222094i | \(-0.0712890\pi\) |
0.295174 | + | 0.955443i | \(0.404622\pi\) | |||||||
\(368\) | 0.205900 | + | 0.118876i | 0.0107333 | + | 0.00619685i | ||||
\(369\) | 5.01920 | + | 8.69350i | 0.261289 | + | 0.452566i | ||||
\(370\) | −10.2282 | + | 8.44171i | −0.531740 | + | 0.438864i | ||||
\(371\) | −18.4427 | −0.957499 | ||||||||
\(372\) | 6.84098 | − | 3.94964i | 0.354688 | − | 0.204779i | ||||
\(373\) | 11.4421 | − | 6.60611i | 0.592450 | − | 0.342051i | −0.173616 | − | 0.984813i | \(-0.555545\pi\) |
0.766066 | + | 0.642762i | \(0.222212\pi\) | |||||||
\(374\) | −13.4696 | − | 23.3300i | −0.696496 | − | 1.20637i | ||||
\(375\) | 0.358985 | − | 14.7117i | 0.0185379 | − | 0.759710i | ||||
\(376\) | −7.24856 | −0.373816 | ||||||||
\(377\) | −2.49493 | − | 1.44045i | −0.128495 | − | 0.0741868i | ||||
\(378\) | −19.4646 | + | 11.2379i | −1.00115 | + | 0.578016i | ||||
\(379\) | 8.76993 | 0.450481 | 0.225240 | − | 0.974303i | \(-0.427683\pi\) | ||||
0.225240 | + | 0.974303i | \(0.427683\pi\) | |||||||
\(380\) | −11.3659 | + | 9.38067i | −0.583058 | + | 0.481218i | ||||
\(381\) | −6.81375 | + | 11.8018i | −0.349079 | + | 0.604623i | ||||
\(382\) | 6.55110 | + | 3.78228i | 0.335184 | + | 0.193518i | ||||
\(383\) | 21.6170i | 1.10457i | 0.833654 | + | 0.552287i | \(0.186245\pi\) | ||||
−0.833654 | + | 0.552287i | \(0.813755\pi\) | |||||||
\(384\) | −0.658124 | + | 1.13990i | −0.0335848 | + | 0.0581705i | ||||
\(385\) | −40.0895 | + | 6.73319i | −2.04315 | + | 0.343155i | ||||
\(386\) | 6.28311 | 0.319802 | ||||||||
\(387\) | 7.24464 | − | 4.07382i | 0.368266 | − | 0.207084i | ||||
\(388\) | − | 7.92017i | − | 0.402086i | ||||||
\(389\) | −1.77743 | −0.0901194 | −0.0450597 | − | 0.998984i | \(-0.514348\pi\) | ||||
−0.0450597 | + | 0.998984i | \(0.514348\pi\) | |||||||
\(390\) | −0.408858 | + | 1.09553i | −0.0207033 | + | 0.0554741i | ||||
\(391\) | 1.40971 | 0.0712919 | ||||||||
\(392\) | −7.80351 | − | 4.50536i | −0.394137 | − | 0.227555i | ||||
\(393\) | 2.07003 | + | 1.19513i | 0.104419 | + | 0.0602865i | ||||
\(394\) | −1.01185 | − | 1.75258i | −0.0509765 | − | 0.0882938i | ||||
\(395\) | −4.25468 | − | 25.3325i | −0.214076 | − | 1.27461i | ||||
\(396\) | −2.87936 | − | 4.98719i | −0.144693 | − | 0.250616i | ||||
\(397\) | 12.1673 | + | 7.02478i | 0.610658 | + | 0.352564i | 0.773223 | − | 0.634134i | \(-0.218643\pi\) |
−0.162565 | + | 0.986698i | \(0.551977\pi\) | |||||||
\(398\) | 12.6142i | 0.632293i | ||||||||
\(399\) | −17.3556 | + | 30.0607i | −0.868865 | + | 1.50492i | ||||
\(400\) | 3.77745 | + | 3.27581i | 0.188872 | + | 0.163790i | ||||
\(401\) | −1.32878 | − | 2.30152i | −0.0663562 | − | 0.114932i | 0.830939 | − | 0.556364i | \(-0.187804\pi\) |
−0.897295 | + | 0.441432i | \(0.854471\pi\) | |||||||
\(402\) | −4.70018 | + | 2.71365i | −0.234424 | + | 0.135345i | ||||
\(403\) | 2.38433i | 0.118772i | ||||||||
\(404\) | 6.01443 | + | 10.4173i | 0.299229 | + | 0.518280i | ||||
\(405\) | 6.19290 | − | 5.11122i | 0.307727 | − | 0.253978i | ||||
\(406\) | −14.5073 | + | 25.1274i | −0.719985 | + | 1.24705i | ||||
\(407\) | −23.3364 | − | 13.4733i | −1.15674 | − | 0.667845i | ||||
\(408\) | 7.80443i | 0.386377i | ||||||||
\(409\) | 25.2671 | 1.24938 | 0.624689 | − | 0.780873i | \(-0.285226\pi\) | ||||
0.624689 | + | 0.780873i | \(0.285226\pi\) | |||||||
\(410\) | 6.19211 | − | 16.5916i | 0.305807 | − | 0.819402i | ||||
\(411\) | 8.42566 | − | 14.5937i | 0.415607 | − | 0.719853i | ||||
\(412\) | 14.6365 | − | 8.45040i | 0.721089 | − | 0.416321i | ||||
\(413\) | −14.3906 | + | 8.30844i | −0.708117 | + | 0.408832i | ||||
\(414\) | 0.301349 | 0.0148105 | ||||||||
\(415\) | 2.50943 | + | 3.04050i | 0.123183 | + | 0.149252i | ||||
\(416\) | −0.198649 | − | 0.344070i | −0.00973956 | − | 0.0168694i | ||||
\(417\) | −16.0337 | + | 9.25709i | −0.785176 | + | 0.453321i | ||||
\(418\) | −25.9321 | − | 14.9719i | −1.26838 | − | 0.732299i | ||||
\(419\) | −31.5224 | −1.53997 | −0.769986 | − | 0.638061i | \(-0.779737\pi\) | ||||
−0.769986 | + | 0.638061i | \(0.779737\pi\) | |||||||
\(420\) | 11.0335 | + | 4.11777i | 0.538379 | + | 0.200927i | ||||
\(421\) | 11.4972 | + | 19.9137i | 0.560340 | + | 0.970537i | 0.997467 | + | 0.0711368i | \(0.0226627\pi\) |
−0.437127 | + | 0.899400i | \(0.644004\pi\) | |||||||
\(422\) | − | 26.6725i | − | 1.29840i | ||||||
\(423\) | −7.95659 | + | 4.59374i | −0.386863 | + | 0.223355i | ||||
\(424\) | −2.30457 | + | 3.99163i | −0.111920 | + | 0.193851i | ||||
\(425\) | 29.1085 | + | 5.62221i | 1.41197 | + | 0.272717i | ||||
\(426\) | 3.95077 | 0.191416 | ||||||||
\(427\) | 10.1537 | + | 5.86226i | 0.491373 | + | 0.283695i | ||||
\(428\) | − | 14.2763i | − | 0.690069i | ||||||
\(429\) | −2.37594 | −0.114711 | ||||||||
\(430\) | −13.6783 | − | 5.28239i | −0.659627 | − | 0.254739i | ||||
\(431\) | 13.7976 | 0.664605 | 0.332303 | − | 0.943173i | \(-0.392174\pi\) | ||||
0.332303 | + | 0.943173i | \(0.392174\pi\) | |||||||
\(432\) | 5.61708i | 0.270252i | ||||||||
\(433\) | −21.9485 | − | 12.6720i | −1.05478 | − | 0.608977i | −0.130796 | − | 0.991409i | \(-0.541753\pi\) |
−0.923984 | + | 0.382432i | \(0.875087\pi\) | |||||||
\(434\) | 24.0135 | 1.15268 | ||||||||
\(435\) | 7.46222 | − | 19.9949i | 0.357786 | − | 0.958680i | ||||
\(436\) | 5.50669 | − | 9.53787i | 0.263723 | − | 0.456781i | ||||
\(437\) | 1.35700 | − | 0.783466i | 0.0649143 | − | 0.0374783i | ||||
\(438\) | − | 13.0886i | − | 0.625399i | ||||||
\(439\) | 1.15394 | + | 1.99869i | 0.0550747 | + | 0.0953922i | 0.892248 | − | 0.451545i | \(-0.149127\pi\) |
−0.837174 | + | 0.546937i | \(0.815794\pi\) | |||||||
\(440\) | −3.55222 | + | 9.51810i | −0.169346 | + | 0.453758i | ||||
\(441\) | −11.4210 | −0.543857 | ||||||||
\(442\) | −2.04009 | − | 1.17785i | −0.0970373 | − | 0.0560245i | ||||
\(443\) | −18.2862 | + | 10.5576i | −0.868805 | + | 0.501605i | −0.866951 | − | 0.498394i | \(-0.833923\pi\) |
−0.00185401 | + | 0.999998i | \(0.500590\pi\) | |||||||
\(444\) | 3.90328 | + | 6.76068i | 0.185242 | + | 0.320848i | ||||
\(445\) | −25.5481 | + | 21.0857i | −1.21109 | + | 0.999559i | ||||
\(446\) | 3.84306 | 0.181974 | ||||||||
\(447\) | 7.46267 | − | 4.30857i | 0.352972 | − | 0.203788i | ||||
\(448\) | −3.46526 | + | 2.00067i | −0.163718 | + | 0.0945228i | ||||
\(449\) | 10.3179 | − | 17.8712i | 0.486934 | − | 0.843394i | −0.512953 | − | 0.858417i | \(-0.671449\pi\) |
0.999887 | + | 0.0150223i | \(0.00478194\pi\) | |||||||
\(450\) | 6.22244 | + | 1.20184i | 0.293329 | + | 0.0566555i | ||||
\(451\) | 35.9833 | 1.69439 | ||||||||
\(452\) | − | 12.0708i | − | 0.567761i | ||||||
\(453\) | 10.2294 | + | 5.90597i | 0.480621 | + | 0.277487i | ||||
\(454\) | −11.2277 | + | 19.4469i | −0.526942 | + | 0.912690i | ||||
\(455\) | −2.74157 | + | 2.26271i | −0.128527 | + | 0.106078i | ||||
\(456\) | 4.33744 | + | 7.51266i | 0.203119 | + | 0.351813i | ||||
\(457\) | 1.30912i | 0.0612379i | 0.999531 | + | 0.0306190i | \(0.00974784\pi\) | ||||
−0.999531 | + | 0.0306190i | \(0.990252\pi\) | |||||||
\(458\) | 7.44490 | − | 4.29832i | 0.347877 | − | 0.200847i | ||||
\(459\) | 16.6527 | + | 28.8433i | 0.777280 | + | 1.34629i | ||||
\(460\) | −0.338402 | − | 0.410018i | −0.0157781 | − | 0.0191172i | ||||
\(461\) | 13.3037 | − | 23.0426i | 0.619614 | − | 1.07320i | −0.369942 | − | 0.929055i | \(-0.620623\pi\) |
0.989556 | − | 0.144148i | \(-0.0460441\pi\) | |||||||
\(462\) | 23.9290i | 1.11328i | ||||||||
\(463\) | 5.63102 | + | 3.25107i | 0.261696 | + | 0.151090i | 0.625108 | − | 0.780538i | \(-0.285055\pi\) |
−0.363412 | + | 0.931628i | \(0.618388\pi\) | |||||||
\(464\) | 3.62561 | + | 6.27974i | 0.168315 | + | 0.291530i | ||||
\(465\) | −17.4194 | + | 2.92565i | −0.807803 | + | 0.135674i | ||||
\(466\) | 8.19720 | + | 14.1980i | 0.379728 | + | 0.657708i | ||||
\(467\) | −16.7489 | − | 9.67000i | −0.775048 | − | 0.447474i | 0.0596242 | − | 0.998221i | \(-0.481010\pi\) |
−0.834673 | + | 0.550747i | \(0.814343\pi\) | |||||||
\(468\) | −0.436105 | − | 0.251785i | −0.0201590 | − | 0.0116388i | ||||
\(469\) | −16.4988 | −0.761842 | ||||||||
\(470\) | 15.1852 | + | 5.66723i | 0.700442 | + | 0.261410i | ||||
\(471\) | −7.20708 | −0.332085 | ||||||||
\(472\) | 4.15283i | 0.191149i | ||||||||
\(473\) | 0.337975 | − | 29.7912i | 0.0155401 | − | 1.36980i | ||||
\(474\) | −15.1207 | −0.694515 | ||||||||
\(475\) | 31.1449 | − | 10.7655i | 1.42903 | − | 0.493955i | ||||
\(476\) | −11.8626 | + | 20.5466i | −0.543720 | + | 0.941751i | ||||
\(477\) | 5.84204i | 0.267488i | ||||||||
\(478\) | −22.7070 | − | 13.1099i | −1.03859 | − | 0.599633i | ||||
\(479\) | −1.36261 | + | 2.36011i | −0.0622592 | + | 0.107836i | −0.895475 | − | 0.445112i | \(-0.853164\pi\) |
0.833216 | + | 0.552948i | \(0.186497\pi\) | |||||||
\(480\) | 2.26995 | − | 1.87347i | 0.103609 | − | 0.0855118i | ||||
\(481\) | −2.35634 | −0.107440 | ||||||||
\(482\) | 21.0930 | − | 12.1780i | 0.960759 | − | 0.554694i | ||||
\(483\) | −1.08442 | − | 0.626092i | −0.0493430 | − | 0.0284882i | ||||
\(484\) | −9.64250 | −0.438295 | ||||||||
\(485\) | −6.19232 | + | 16.5922i | −0.281179 | + | 0.753412i | ||||
\(486\) | 6.06229 | + | 10.5002i | 0.274991 | + | 0.476298i | ||||
\(487\) | −16.8125 | + | 9.70670i | −0.761847 | + | 0.439853i | −0.829958 | − | 0.557825i | \(-0.811636\pi\) |
0.0681116 | + | 0.997678i | \(0.478303\pi\) | |||||||
\(488\) | 2.53758 | − | 1.46507i | 0.114871 | − | 0.0663208i | ||||
\(489\) | −7.07106 | −0.319764 | ||||||||
\(490\) | 12.8253 | + | 15.5395i | 0.579388 | + | 0.702004i | ||||
\(491\) | 7.81462 | + | 13.5353i | 0.352669 | + | 0.610841i | 0.986716 | − | 0.162454i | \(-0.0519408\pi\) |
−0.634047 | + | 0.773294i | \(0.718607\pi\) | |||||||
\(492\) | −9.02793 | − | 5.21228i | −0.407011 | − | 0.234988i | ||||
\(493\) | 37.2345 | + | 21.4973i | 1.67696 | + | 0.968192i | ||||
\(494\) | −2.61843 | −0.117809 | ||||||||
\(495\) | 2.13285 | + | 12.6990i | 0.0958644 | + | 0.570778i | ||||
\(496\) | 3.00068 | − | 5.19733i | 0.134734 | − | 0.233367i | ||||
\(497\) | 10.4011 | + | 6.00509i | 0.466554 | + | 0.269365i | ||||
\(498\) | 2.00972 | − | 1.16031i | 0.0900577 | − | 0.0519948i | ||||
\(499\) | −20.1228 | − | 34.8536i | −0.900818 | − | 1.56026i | −0.826434 | − | 0.563034i | \(-0.809634\pi\) |
−0.0743845 | − | 0.997230i | \(-0.523699\pi\) | |||||||
\(500\) | −5.35231 | − | 9.81594i | −0.239363 | − | 0.438982i | ||||
\(501\) | −6.98571 | − | 12.0996i | −0.312099 | − | 0.540570i | ||||
\(502\) | −20.8574 | + | 12.0420i | −0.930910 | + | 0.537461i | ||||
\(503\) | −24.9597 | + | 14.4105i | −1.11290 | + | 0.642533i | −0.939579 | − | 0.342333i | \(-0.888783\pi\) |
−0.173321 | + | 0.984865i | \(0.555450\pi\) | |||||||
\(504\) | −2.53583 | + | 4.39218i | −0.112955 | + | 0.195643i | ||||
\(505\) | −4.45512 | − | 26.5258i | −0.198250 | − | 1.18038i | ||||
\(506\) | 0.540102 | − | 0.935485i | 0.0240105 | − | 0.0415874i | ||||
\(507\) | 14.6388 | − | 8.45173i | 0.650133 | − | 0.375355i | ||||
\(508\) | 10.3533i | 0.459353i | ||||||||
\(509\) | −11.0449 | − | 19.1303i | −0.489557 | − | 0.847937i | 0.510371 | − | 0.859954i | \(-0.329508\pi\) |
−0.999928 | + | 0.0120170i | \(0.996175\pi\) | |||||||
\(510\) | 6.10184 | − | 16.3497i | 0.270194 | − | 0.723978i | ||||
\(511\) | 19.8944 | − | 34.4582i | 0.880078 | − | 1.52434i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 32.0602 | + | 18.5100i | 1.41549 | + | 0.817235i | ||||
\(514\) | −3.70281 | −0.163324 | ||||||||
\(515\) | −37.2693 | + | 6.25953i | −1.64228 | + | 0.275828i | ||||
\(516\) | −4.40013 | + | 7.42542i | −0.193705 | + | 0.326886i | ||||
\(517\) | 32.9331i | 1.44840i | ||||||||
\(518\) | 23.7316i | 1.04271i | ||||||||
\(519\) | −16.4024 | + | 28.4097i | −0.719984 | + | 1.24705i | ||||
\(520\) | 0.147147 | + | 0.876113i | 0.00645280 | + | 0.0384201i | ||||
\(521\) | 5.97949 | − | 10.3568i | 0.261966 | − | 0.453739i | −0.704798 | − | 0.709408i | \(-0.748962\pi\) |
0.966764 | + | 0.255669i | \(0.0822957\pi\) | |||||||
\(522\) | 7.95951 | + | 4.59542i | 0.348378 | + | 0.201136i | ||||
\(523\) | −6.87024 | + | 3.96653i | −0.300415 | + | 0.173444i | −0.642629 | − | 0.766177i | \(-0.722156\pi\) |
0.342215 | + | 0.939622i | \(0.388823\pi\) | |||||||
\(524\) | 1.81597 | 0.0793310 | ||||||||
\(525\) | −19.8949 | − | 17.2529i | −0.868284 | − | 0.752977i | ||||
\(526\) | 3.23369 | − | 5.60091i | 0.140995 | − | 0.244211i | ||||
\(527\) | − | 35.5839i | − | 1.55006i | ||||||
\(528\) | 5.17904 | + | 2.99012i | 0.225389 | + | 0.130128i | ||||
\(529\) | −11.4717 | − | 19.8696i | −0.498771 | − | 0.863897i | ||||
\(530\) | 7.94873 | − | 6.56037i | 0.345271 | − | 0.284964i | ||||
\(531\) | 2.63183 | + | 4.55847i | 0.114212 | + | 0.197821i | ||||
\(532\) | 26.3713i | 1.14334i | ||||||||
\(533\) | 2.72500 | − | 1.57328i | 0.118033 | − | 0.0681463i | ||||
\(534\) | 9.74962 | + | 16.8868i | 0.421907 | + | 0.730765i | ||||
\(535\) | −11.1618 | + | 29.9077i | −0.482566 | + | 1.29302i | ||||
\(536\) | −2.06166 | + | 3.57089i | −0.0890500 | + | 0.154239i | ||||
\(537\) | − | 6.18315i | − | 0.266823i | ||||||
\(538\) | 15.4212i | 0.664857i | ||||||||
\(539\) | −20.4697 | + | 35.4545i | −0.881690 | + | 1.52713i | ||||
\(540\) | 4.39167 | − | 11.7674i | 0.188987 | − | 0.506387i | ||||
\(541\) | 10.6691 | + | 18.4795i | 0.458702 | + | 0.794496i | 0.998893 | − | 0.0470473i | \(-0.0149811\pi\) |
−0.540190 | + | 0.841543i | \(0.681648\pi\) | |||||||
\(542\) | −15.5819 | + | 8.99623i | −0.669301 | + | 0.386421i | ||||
\(543\) | − | 14.3712i | − | 0.616725i | ||||||
\(544\) | 2.96465 | + | 5.13493i | 0.127108 | + | 0.220158i | ||||
\(545\) | −18.9932 | + | 15.6758i | −0.813581 | + | 0.671477i | ||||
\(546\) | 1.04623 | + | 1.81213i | 0.0447747 | + | 0.0775521i | ||||
\(547\) | −11.4760 | − | 6.62565i | −0.490677 | − | 0.283292i | 0.234178 | − | 0.972194i | \(-0.424760\pi\) |
−0.724855 | + | 0.688901i | \(0.758093\pi\) | |||||||
\(548\) | − | 12.8025i | − | 0.546897i | ||||||
\(549\) | 1.85697 | − | 3.21636i | 0.0792534 | − | 0.137271i | ||||
\(550\) | 14.8833 | − | 17.1625i | 0.634626 | − | 0.731809i | ||||
\(551\) | 47.7900 | 2.03592 | ||||||||
\(552\) | −0.271015 | + | 0.156471i | −0.0115352 | + | 0.00665983i | ||||
\(553\) | −39.8079 | − | 22.9831i | −1.69280 | − | 0.977340i | ||||
\(554\) | 3.63054 | − | 6.28827i | 0.154247 | − | 0.267163i | ||||
\(555\) | −2.89131 | − | 17.2149i | −0.122729 | − | 0.730731i | ||||
\(556\) | −7.03293 | + | 12.1814i | −0.298263 | + | 0.516606i | ||||
\(557\) | − | 25.8358i | − | 1.09470i | −0.836905 | − | 0.547349i | \(-0.815637\pi\) | ||
0.836905 | − | 0.547349i | \(-0.184363\pi\) | |||||||
\(558\) | − | 7.60666i | − | 0.322016i | ||||||
\(559\) | −1.27695 | − | 2.27085i | −0.0540092 | − | 0.0960466i | ||||
\(560\) | 8.82368 | − | 1.48197i | 0.372869 | − | 0.0626247i | ||||
\(561\) | 35.4587 | 1.49707 | ||||||||
\(562\) | 13.0094 | + | 7.51100i | 0.548770 | + | 0.316832i | ||||
\(563\) | − | 3.65957i | − | 0.154233i | −0.997022 | − | 0.0771163i | \(-0.975429\pi\) | ||
0.997022 | − | 0.0771163i | \(-0.0245713\pi\) | |||||||
\(564\) | 4.77045 | − | 8.26267i | 0.200872 | − | 0.347921i | ||||
\(565\) | −9.43743 | + | 25.2874i | −0.397035 | + | 1.06385i | ||||
\(566\) | −9.23142 | − | 15.9893i | −0.388026 | − | 0.672080i | ||||
\(567\) | − | 14.3688i | − | 0.603434i | ||||||
\(568\) | 2.59941 | − | 1.50077i | 0.109069 | − | 0.0629709i | ||||
\(569\) | 8.69584 | − | 15.0616i | 0.364549 | − | 0.631417i | −0.624155 | − | 0.781301i | \(-0.714557\pi\) |
0.988704 | + | 0.149884i | \(0.0478899\pi\) | |||||||
\(570\) | −3.21290 | − | 19.1297i | −0.134574 | − | 0.801254i | ||||
\(571\) | −8.67668 | + | 15.0285i | −0.363108 | + | 0.628921i | −0.988471 | − | 0.151413i | \(-0.951618\pi\) |
0.625363 | + | 0.780334i | \(0.284951\pi\) | |||||||
\(572\) | −1.56325 | + | 0.902541i | −0.0653626 | + | 0.0377371i | ||||
\(573\) | −8.62288 | + | 4.97842i | −0.360226 | + | 0.207977i | ||||
\(574\) | −15.8451 | − | 27.4445i | −0.661362 | − | 1.14551i | ||||
\(575\) | 0.388359 | + | 1.12354i | 0.0161957 | + | 0.0468547i | ||||
\(576\) | 0.633745 | + | 1.09768i | 0.0264060 | + | 0.0457366i | ||||
\(577\) | 20.4854 | − | 11.8273i | 0.852820 | − | 0.492376i | −0.00878129 | − | 0.999961i | \(-0.502795\pi\) |
0.861601 | + | 0.507586i | \(0.169462\pi\) | |||||||
\(578\) | 15.7241 | + | 9.07830i | 0.654036 | + | 0.377608i | ||||
\(579\) | −4.13507 | + | 7.16215i | −0.171848 | + | 0.297649i | ||||
\(580\) | −2.68563 | − | 15.9903i | −0.111515 | − | 0.663960i | ||||
\(581\) | 7.05460 | 0.292674 | ||||||||
\(582\) | 9.02824 | + | 5.21245i | 0.374232 | + | 0.216063i | ||||
\(583\) | 18.1356 | + | 10.4706i | 0.751099 | + | 0.433647i | ||||
\(584\) | −4.97194 | − | 8.61166i | −0.205740 | − | 0.356353i | ||||
\(585\) | 0.716752 | + | 0.868437i | 0.0296340 | + | 0.0359054i | ||||
\(586\) | −17.0682 | −0.705079 | ||||||||
\(587\) | 21.6270 | − | 12.4864i | 0.892642 | − | 0.515367i | 0.0178365 | − | 0.999841i | \(-0.494322\pi\) |
0.874806 | + | 0.484474i | \(0.160989\pi\) | |||||||
\(588\) | 10.2714 | − | 5.93017i | 0.423584 | − | 0.244556i | ||||
\(589\) | −19.7763 | − | 34.2536i | −0.814868 | − | 1.41139i | ||||
\(590\) | 3.24686 | − | 8.69988i | 0.133671 | − | 0.358168i | ||||
\(591\) | 2.66370 | 0.109570 | ||||||||
\(592\) | 5.13633 | + | 2.96546i | 0.211102 | + | 0.121880i | ||||
\(593\) | −1.47706 | + | 0.852784i | −0.0606558 | + | 0.0350196i | −0.530021 | − | 0.847984i | \(-0.677816\pi\) |
0.469365 | + | 0.883004i | \(0.344483\pi\) | |||||||
\(594\) | 25.5206 | 1.04712 | ||||||||
\(595\) | 40.9154 | − | 33.7689i | 1.67737 | − | 1.38439i | ||||
\(596\) | 3.27337 | − | 5.66965i | 0.134083 | − | 0.232238i | ||||
\(597\) | −14.3790 | − | 8.30171i | −0.588493 | − | 0.339766i | ||||
\(598\) | − | 0.0944584i | − | 0.00386269i | ||||||
\(599\) | 15.0067 | − | 25.9924i | 0.613158 | − | 1.06202i | −0.377546 | − | 0.925991i | \(-0.623232\pi\) |
0.990705 | − | 0.136030i | \(-0.0434345\pi\) | |||||||
\(600\) | −6.22014 | + | 2.15004i | −0.253936 | + | 0.0877750i | ||||
\(601\) | 39.9837 | 1.63097 | 0.815484 | − | 0.578780i | \(-0.196471\pi\) | ||||
0.815484 | + | 0.578780i | \(0.196471\pi\) | |||||||
\(602\) | −22.8706 | + | 12.8607i | −0.932136 | + | 0.524161i | ||||
\(603\) | 5.22625i | 0.212829i | ||||||||
\(604\) | 8.97394 | 0.365145 | ||||||||
\(605\) | 20.2003 | + | 7.53891i | 0.821260 | + | 0.306500i | ||||
\(606\) | −15.8330 | −0.643171 | ||||||||
\(607\) | 1.11505 | + | 0.643772i | 0.0452583 | + | 0.0261299i | 0.522458 | − | 0.852665i | \(-0.325015\pi\) |
−0.477200 | + | 0.878795i | \(0.658348\pi\) | |||||||
\(608\) | 5.70763 | + | 3.29530i | 0.231475 | + | 0.133642i | ||||
\(609\) | −19.0952 | − | 33.0739i | −0.773777 | − | 1.34022i | ||||
\(610\) | −6.46151 | + | 1.08523i | −0.261619 | + | 0.0439399i | ||||
\(611\) | 1.43992 | + | 2.49401i | 0.0582528 | + | 0.100897i | ||||
\(612\) | 6.50846 | + | 3.75766i | 0.263089 | + | 0.151895i | ||||
\(613\) | 0.820518i | 0.0331404i | 0.999863 | + | 0.0165702i | \(0.00527470\pi\) | ||||
−0.999863 | + | 0.0165702i | \(0.994725\pi\) | |||||||
\(614\) | 2.79458 | − | 4.84036i | 0.112780 | − | 0.195341i | ||||
\(615\) | 14.8377 | + | 17.9778i | 0.598313 | + | 0.724934i | ||||
\(616\) | 9.08985 | + | 15.7441i | 0.366240 | + | 0.634347i | ||||
\(617\) | 9.12222 | − | 5.26671i | 0.367247 | − | 0.212030i | −0.305008 | − | 0.952350i | \(-0.598659\pi\) |
0.672255 | + | 0.740320i | \(0.265326\pi\) | |||||||
\(618\) | 22.2456i | 0.894851i | ||||||||
\(619\) | 13.5520 | + | 23.4727i | 0.544699 | + | 0.943446i | 0.998626 | + | 0.0524074i | \(0.0166894\pi\) |
−0.453927 | + | 0.891039i | \(0.649977\pi\) | |||||||
\(620\) | −10.3497 | + | 8.54197i | −0.415654 | + | 0.343054i | ||||
\(621\) | −0.667737 | + | 1.15655i | −0.0267954 | + | 0.0464109i | ||||
\(622\) | −7.18923 | − | 4.15070i | −0.288262 | − | 0.166428i | ||||
\(623\) | 59.2768i | 2.37488i | ||||||||
\(624\) | 0.522942 | 0.0209344 | ||||||||
\(625\) | 3.53819 | + | 24.7484i | 0.141528 | + | 0.989934i | ||||
\(626\) | −5.57411 | + | 9.65465i | −0.222786 | + | 0.385877i | ||||
\(627\) | 34.1330 | − | 19.7067i | 1.36314 | − | 0.787011i | ||||
\(628\) | −4.74190 | + | 2.73774i | −0.189222 | + | 0.109248i | ||||
\(629\) | 35.1662 | 1.40217 | ||||||||
\(630\) | 8.74637 | − | 7.21869i | 0.348464 | − | 0.287599i | ||||
\(631\) | −20.6935 | − | 35.8422i | −0.823795 | − | 1.42685i | −0.902837 | − | 0.429983i | \(-0.858519\pi\) |
0.0790419 | − | 0.996871i | \(-0.474814\pi\) | |||||||
\(632\) | −9.94864 | + | 5.74385i | −0.395736 | + | 0.228478i | ||||
\(633\) | 30.4041 | + | 17.5538i | 1.20845 | + | 0.697701i | ||||
\(634\) | −18.9910 | −0.754228 | ||||||||
\(635\) | 8.09464 | − | 21.6894i | 0.321226 | − | 0.860718i | ||||
\(636\) | −3.03339 | − | 5.25398i | −0.120282 | − | 0.208334i | ||||
\(637\) | 3.57994i | 0.141842i | ||||||||
\(638\) | 28.5314 | − | 16.4726i | 1.12957 | − | 0.652157i | ||||
\(639\) | 1.90221 | − | 3.29473i | 0.0752503 | − | 0.130337i | ||||
\(640\) | 0.781842 | − | 2.09493i | 0.0309050 | − | 0.0828093i | ||||
\(641\) | −41.5297 | −1.64032 | −0.820162 | − | 0.572131i | \(-0.806117\pi\) | ||||
−0.820162 | + | 0.572131i | \(0.806117\pi\) | |||||||
\(642\) | 16.2736 | + | 9.39556i | 0.642267 | + | 0.370813i | ||||
\(643\) | 24.1477i | 0.952294i | 0.879366 | + | 0.476147i | \(0.157967\pi\) | ||||
−0.879366 | + | 0.476147i | \(0.842033\pi\) | |||||||
\(644\) | −0.951328 | −0.0374876 | ||||||||
\(645\) | 15.0235 | − | 12.1155i | 0.591548 | − | 0.477048i | ||||
\(646\) | 39.0777 | 1.53749 | ||||||||
\(647\) | − | 8.37979i | − | 0.329444i | −0.986340 | − | 0.164722i | \(-0.947327\pi\) | ||
0.986340 | − | 0.164722i | \(-0.0526726\pi\) | |||||||
\(648\) | −3.10990 | − | 1.79550i | −0.122168 | − | 0.0705339i | ||||
\(649\) | 18.8680 | 0.740633 | ||||||||
\(650\) | 0.376721 | − | 1.95044i | 0.0147762 | − | 0.0765025i | ||||
\(651\) | −15.8039 | + | 27.3731i | −0.619402 | + | 1.07284i | ||||
\(652\) | −4.65240 | + | 2.68607i | −0.182202 | + | 0.105194i | ||||
\(653\) | − | 46.1618i | − | 1.80645i | −0.429166 | − | 0.903226i | \(-0.641192\pi\) | ||
0.429166 | − | 0.903226i | \(-0.358808\pi\) | |||||||
\(654\) | 7.24818 | + | 12.5542i | 0.283426 | + | 0.490908i | ||||
\(655\) | −3.80432 | − | 1.41980i | −0.148647 | − | 0.0554762i | ||||
\(656\) | −7.91990 | −0.309220 | ||||||||
\(657\) | −10.9152 | − | 6.30188i | −0.425842 | − | 0.245860i | ||||
\(658\) | 25.1182 | − | 14.5020i | 0.979208 | − | 0.565346i | ||||
\(659\) | 17.6588 | + | 30.5859i | 0.687888 | + | 1.19146i | 0.972520 | + | 0.232820i | \(0.0747952\pi\) |
−0.284632 | + | 0.958637i | \(0.591872\pi\) | |||||||
\(660\) | −8.51192 | − | 10.3133i | −0.331326 | − | 0.401444i | ||||
\(661\) | 24.0891 | 0.936957 | 0.468479 | − | 0.883475i | \(-0.344802\pi\) | ||||
0.468479 | + | 0.883475i | \(0.344802\pi\) | |||||||
\(662\) | −9.69105 | + | 5.59513i | −0.376653 | + | 0.217461i | ||||
\(663\) | 2.68527 | − | 1.55034i | 0.104287 | − | 0.0602103i | ||||
\(664\) | 0.881529 | − | 1.52685i | 0.0342100 | − | 0.0592534i | ||||
\(665\) | 20.6182 | − | 55.2459i | 0.799538 | − | 2.14234i | ||||
\(666\) | 7.51738 | 0.291292 | ||||||||
\(667\) | 1.72400i | 0.0667534i | ||||||||
\(668\) | −9.19249 | − | 5.30729i | −0.355668 | − | 0.205345i | ||||
\(669\) | −2.52921 | + | 4.38072i | −0.0977849 | + | 0.169368i | ||||
\(670\) | 7.11089 | − | 5.86887i | 0.274718 | − | 0.226734i | ||||
\(671\) | −6.65642 | − | 11.5293i | −0.256968 | − | 0.445082i | ||||
\(672\) | − | 5.26676i | − | 0.203170i | ||||||
\(673\) | 31.4540 | − | 18.1600i | 1.21246 | − | 0.700015i | 0.249167 | − | 0.968460i | \(-0.419843\pi\) |
0.963295 | + | 0.268445i | \(0.0865098\pi\) | |||||||
\(674\) | 7.01564 | + | 12.1515i | 0.270233 | + | 0.468056i | ||||
\(675\) | −18.4005 | + | 21.2182i | −0.708234 | + | 0.816689i | ||||
\(676\) | 6.42108 | − | 11.1216i | 0.246965 | − | 0.427755i | ||||
\(677\) | − | 9.39110i | − | 0.360929i | −0.983581 | − | 0.180465i | \(-0.942240\pi\) | ||
0.983581 | − | 0.180465i | \(-0.0577601\pi\) | |||||||
\(678\) | 13.7595 | + | 7.94406i | 0.528431 | + | 0.305090i | ||||
\(679\) | 15.8456 | + | 27.4454i | 0.608100 | + | 1.05326i | ||||
\(680\) | −2.19603 | − | 13.0752i | −0.0842138 | − | 0.501411i | ||||
\(681\) | −14.7784 | − | 25.5970i | −0.566311 | − | 0.980880i | ||||
\(682\) | −23.6136 | − | 13.6333i | −0.904210 | − | 0.522046i | ||||
\(683\) | −13.6178 | − | 7.86227i | −0.521072 | − | 0.300841i | 0.216301 | − | 0.976327i | \(-0.430601\pi\) |
−0.737373 | + | 0.675485i | \(0.763934\pi\) | |||||||
\(684\) | 8.35352 | 0.319405 | ||||||||
\(685\) | −10.0096 | + | 26.8204i | −0.382446 | + | 1.02475i | ||||
\(686\) | 8.04556 | 0.307181 | ||||||||
\(687\) | 11.3153i | 0.431706i | ||||||||
\(688\) | −0.0743880 | + | 6.55702i | −0.00283602 | + | 0.249984i | ||||
\(689\) | 1.83120 | 0.0697632 | ||||||||
\(690\) | 0.690092 | − | 0.115904i | 0.0262714 | − | 0.00441238i | ||||
\(691\) | 1.65868 | − | 2.87292i | 0.0630993 | − | 0.109291i | −0.832750 | − | 0.553649i | \(-0.813235\pi\) |
0.895849 | + | 0.444358i | \(0.146568\pi\) | |||||||
\(692\) | 24.9229i | 0.947426i | ||||||||
\(693\) | 19.9554 | + | 11.5213i | 0.758045 | + | 0.437657i | ||||
\(694\) | −5.90007 | + | 10.2192i | −0.223964 | + | 0.387916i | ||||
\(695\) | 24.2574 | − | 20.0205i | 0.920136 | − | 0.759421i | ||||
\(696\) | −9.54441 | −0.361780 | ||||||||
\(697\) | −40.6681 | + | 23.4797i | −1.54041 | + | 0.889359i | ||||
\(698\) | −18.4460 | − | 10.6498i | −0.698193 | − | 0.403102i | ||||
\(699\) | −21.5791 | −0.816197 | ||||||||
\(700\) | −19.6436 | − | 3.79410i | −0.742460 | − | 0.143404i | ||||
\(701\) | −9.80070 | − | 16.9753i | −0.370167 | − | 0.641149i | 0.619424 | − | 0.785057i | \(-0.287366\pi\) |
−0.989591 | + | 0.143908i | \(0.954033\pi\) | |||||||
\(702\) | 1.93267 | − | 1.11583i | 0.0729438 | − | 0.0421141i | ||||
\(703\) | 33.8515 | − | 19.5442i | 1.27673 | − | 0.737123i | ||||
\(704\) | 4.54340 | 0.171236 | ||||||||
\(705\) | −16.4539 | + | 13.5800i | −0.619688 | + | 0.511451i | ||||
\(706\) | −14.4868 | − | 25.0918i | −0.545217 | − | 0.944343i | ||||
\(707\) | −41.6832 | − | 24.0658i | −1.56766 | − | 0.905087i | ||||
\(708\) | −4.73383 | − | 2.73308i | −0.177908 | − | 0.102715i | ||||
\(709\) | −39.4525 | −1.48167 | −0.740835 | − | 0.671687i | \(-0.765570\pi\) | ||||
−0.740835 | + | 0.671687i | \(0.765570\pi\) | |||||||
\(710\) | −6.61894 | + | 1.11168i | −0.248405 | + | 0.0417205i | ||||
\(711\) | −7.28027 | + | 12.6098i | −0.273031 | + | 0.472904i | ||||
\(712\) | 12.8295 | + | 7.40713i | 0.480807 | + | 0.277594i | ||||
\(713\) | 1.23568 | − | 0.713419i | 0.0462765 | − | 0.0267177i | ||||
\(714\) | −15.6141 | − | 27.0444i | −0.584343 | − | 1.01211i | ||||
\(715\) | 3.98053 | − | 0.668546i | 0.148864 | − | 0.0250022i | ||||
\(716\) | −2.34878 | − | 4.06820i | −0.0877779 | − | 0.152036i | ||||
\(717\) | 29.8881 | − | 17.2559i | 1.11619 | − | 0.644433i | ||||
\(718\) | 19.7035 | − | 11.3758i | 0.735328 | − | 0.424542i | ||||
\(719\) | 6.80616 | − | 11.7886i | 0.253827 | − | 0.439641i | −0.710749 | − | 0.703445i | \(-0.751644\pi\) |
0.964576 | + | 0.263804i | \(0.0849773\pi\) | |||||||
\(720\) | −0.469438 | − | 2.79504i | −0.0174949 | − | 0.104165i | ||||
\(721\) | −33.8129 | + | 58.5657i | −1.25926 | + | 2.18110i | ||||
\(722\) | 21.1623 | − | 12.2180i | 0.787579 | − | 0.454709i | ||||
\(723\) | 32.0587i | 1.19227i | ||||||||
\(724\) | −5.45913 | − | 9.45550i | −0.202887 | − | 0.351411i | ||||
\(725\) | −6.87567 | + | 35.5982i | −0.255356 | + | 1.32208i | ||||
\(726\) | 6.34596 | − | 10.9915i | 0.235521 | − | 0.407934i | ||||
\(727\) | 33.5701i | 1.24505i | 0.782601 | + | 0.622523i | \(0.213892\pi\) | ||||
−0.782601 | + | 0.622523i | \(0.786108\pi\) | |||||||
\(728\) | 1.37674 | + | 0.794861i | 0.0510254 | + | 0.0294595i | ||||
\(729\) | −26.7320 | −0.990073 | ||||||||
\(730\) | 3.68290 | + | 21.9281i | 0.136310 | + | 0.811594i | ||||
\(731\) | 19.0573 | + | 33.8903i | 0.704859 | + | 1.25348i | ||||
\(732\) | 3.85680i | 0.142552i | ||||||||
\(733\) | 2.67411i | 0.0987704i | 0.998780 | + | 0.0493852i | \(0.0157262\pi\) | ||||
−0.998780 | + | 0.0493852i | \(0.984274\pi\) | |||||||
\(734\) | −14.0490 | + | 24.3335i | −0.518557 | + | 0.898167i | ||||
\(735\) | −26.1542 | + | 4.39270i | −0.964713 | + | 0.162027i | ||||
\(736\) | −0.118876 | + | 0.205900i | −0.00438183 | + | 0.00758956i | ||||
\(737\) | 16.2240 | + | 9.36693i | 0.597619 | + | 0.345035i | ||||
\(738\) | −8.69350 | + | 5.01920i | −0.320012 | + | 0.184759i | ||||
\(739\) | 4.86748 | 0.179053 | 0.0895265 | − | 0.995984i | \(-0.471465\pi\) | ||||
0.0895265 | + | 0.995984i | \(0.471465\pi\) | |||||||
\(740\) | −8.44171 | − | 10.2282i | −0.310323 | − | 0.375997i | ||||
\(741\) | 1.72325 | − | 2.98476i | 0.0633053 | − | 0.109648i | ||||
\(742\) | − | 18.4427i | − | 0.677054i | ||||||
\(743\) | 14.2466 | + | 8.22531i | 0.522659 | + | 0.301757i | 0.738022 | − | 0.674777i | \(-0.235760\pi\) |
−0.215363 | + | 0.976534i | \(0.569093\pi\) | |||||||
\(744\) | 3.94964 | + | 6.84098i | 0.144801 | + | 0.250802i | ||||
\(745\) | −11.2902 | + | 9.31824i | −0.413643 | + | 0.341394i | ||||
\(746\) | 6.60611 | + | 11.4421i | 0.241867 | + | 0.418925i | ||||
\(747\) | − | 2.23466i | − | 0.0817619i | ||||||
\(748\) | 23.3300 | − | 13.4696i | 0.853030 | − | 0.492497i | ||||
\(749\) | 28.5621 | + | 49.4710i | 1.04364 | + | 1.80763i | ||||
\(750\) | 14.7117 | + | 0.358985i | 0.537196 | + | 0.0131083i | ||||
\(751\) | −19.7485 | + | 34.2055i | −0.720634 | + | 1.24817i | 0.240112 | + | 0.970745i | \(0.422816\pi\) |
−0.960746 | + | 0.277430i | \(0.910518\pi\) | |||||||
\(752\) | − | 7.24856i | − | 0.264328i | ||||||
\(753\) | − | 31.7006i | − | 1.15523i | ||||||
\(754\) | 1.44045 | − | 2.49493i | 0.0524580 | − | 0.0908599i | ||||
\(755\) | −18.7998 | − | 7.01621i | −0.684193 | − | 0.255346i | ||||
\(756\) | −11.2379 | − | 19.4646i | −0.408719 | − | 0.707922i | ||||
\(757\) | 28.9104 | − | 16.6914i | 1.05077 | − | 0.606661i | 0.127904 | − | 0.991787i | \(-0.459175\pi\) |
0.922864 | + | 0.385126i | \(0.125842\pi\) | |||||||
\(758\) | 8.76993i | 0.318538i | ||||||||
\(759\) | 0.710909 | + | 1.23133i | 0.0258044 | + | 0.0446945i | ||||
\(760\) | −9.38067 | − | 11.3659i | −0.340273 | − | 0.412284i | ||||
\(761\) | −17.4702 | − | 30.2593i | −0.633295 | − | 1.09690i | −0.986874 | − | 0.161494i | \(-0.948369\pi\) |
0.353579 | − | 0.935405i | \(-0.384965\pi\) | |||||||
\(762\) | −11.8018 | − | 6.81375i | −0.427533 | − | 0.246836i | ||||
\(763\) | 44.0683i | 1.59538i | ||||||||
\(764\) | −3.78228 | + | 6.55110i | −0.136838 | + | 0.237011i | ||||
\(765\) | −10.6969 | − | 12.9606i | −0.386746 | − | 0.468592i | ||||
\(766\) | −21.6170 | −0.781052 | ||||||||
\(767\) | 1.42886 | − | 0.824954i | 0.0515932 | − | 0.0297874i | ||||
\(768\) | −1.13990 | − | 0.658124i | −0.0411328 | − | 0.0237480i | ||||
\(769\) | 21.2623 | − | 36.8274i | 0.766739 | − | 1.32803i | −0.172584 | − | 0.984995i | \(-0.555212\pi\) |
0.939322 | − | 0.343035i | \(-0.111455\pi\) | |||||||
\(770\) | −6.73319 | − | 40.0895i | −0.242647 | − | 1.44473i | ||||
\(771\) | 2.43691 | − | 4.22085i | 0.0877632 | − | 0.152010i | ||||
\(772\) | 6.28311i | 0.226134i | ||||||||
\(773\) | − | 10.8438i | − | 0.390023i | −0.980801 | − | 0.195011i | \(-0.937526\pi\) | ||
0.980801 | − | 0.195011i | \(-0.0624744\pi\) | |||||||
\(774\) | 4.07382 | + | 7.24464i | 0.146430 | + | 0.260403i | ||||
\(775\) | 28.3603 | − | 9.80298i | 1.01873 | − | 0.352134i | ||||
\(776\) | 7.92017 | 0.284317 | ||||||||
\(777\) | −27.0518 | − | 15.6184i | −0.970477 | − | 0.560305i | ||||
\(778\) | − | 1.77743i | − | 0.0637241i | ||||||
\(779\) | −26.0985 | + | 45.2039i | −0.935075 | + | 1.61960i | ||||
\(780\) | −1.09553 | − | 0.408858i | −0.0392261 | − | 0.0146395i | ||||
\(781\) | −6.81860 | − | 11.8102i | −0.243989 | − | 0.422601i | ||||
\(782\) | 1.40971i | 0.0504110i | ||||||||
\(783\) | −35.2738 | + | 20.3653i | −1.26058 | + | 0.727798i | ||||
\(784\) | 4.50536 | − | 7.80351i | 0.160906 | − | 0.278697i | ||||
\(785\) | 12.0744 | − | 2.02794i | 0.430954 | − | 0.0723804i | ||||
\(786\) | −1.19513 | + | 2.07003i | −0.0426290 | + | 0.0738356i | ||||
\(787\) | −38.9833 | + | 22.5070i | −1.38960 | + | 0.802289i | −0.993270 | − | 0.115818i | \(-0.963051\pi\) |
−0.396334 | + | 0.918106i | \(0.629718\pi\) | |||||||
\(788\) | 1.75258 | − | 1.01185i | 0.0624332 | − | 0.0360458i | ||||
\(789\) | 4.25634 | + | 7.37219i | 0.151530 | + | 0.262457i | ||||
\(790\) | 25.3325 | − | 4.25468i | 0.901289 | − | 0.151375i | ||||
\(791\) | 24.1496 | + | 41.8283i | 0.858661 | + | 1.48724i | ||||
\(792\) | 4.98719 | − | 2.87936i | 0.177212 | − | 0.102313i | ||||
\(793\) | −1.00818 | − | 0.582070i | −0.0358013 | − | 0.0206699i | ||||
\(794\) | −7.02478 | + | 12.1673i | −0.249300 | + | 0.431801i | ||||
\(795\) | 2.24694 | + | 13.3783i | 0.0796909 | + | 0.474481i | ||||
\(796\) | −12.6142 | −0.447098 | ||||||||
\(797\) | −13.8151 | − | 7.97613i | −0.489355 | − | 0.282529i | 0.234952 | − | 0.972007i | \(-0.424507\pi\) |
−0.724307 | + | 0.689478i | \(0.757840\pi\) | |||||||
\(798\) | −30.0607 | − | 17.3556i | −1.06414 | − | 0.614380i | ||||
\(799\) | −21.4895 | − | 37.2208i | −0.760242 | − | 1.31678i | ||||
\(800\) | −3.27581 | + | 3.77745i | −0.115817 | + | 0.133553i | ||||
\(801\) | 18.7769 | 0.663449 | ||||||||
\(802\) | 2.30152 | − | 1.32878i | 0.0812694 | − | 0.0469209i | ||||
\(803\) | −39.1262 | + | 22.5895i | −1.38073 | + | 0.797167i | ||||
\(804\) | −2.71365 | − | 4.70018i | −0.0957031 | − | 0.165763i | ||||
\(805\) | 1.99296 | + | 0.743788i | 0.0702427 | + | 0.0262151i | ||||
\(806\) | −2.38433 | −0.0839843 | ||||||||
\(807\) | −17.5787 | − | 10.1491i | −0.618801 | − | 0.357265i | ||||
\(808\) | −10.4173 | + | 6.01443i | −0.366480 | + | 0.211587i | ||||
\(809\) | 23.6724 | 0.832277 | 0.416138 | − | 0.909301i | \(-0.363383\pi\) | ||||
0.416138 | + | 0.909301i | \(0.363383\pi\) | |||||||
\(810\) | 5.11122 | + | 6.19290i | 0.179590 | + | 0.217596i | ||||
\(811\) | −12.8249 | + | 22.2134i | −0.450343 | + | 0.780018i | −0.998407 | − | 0.0564189i | \(-0.982032\pi\) |
0.548064 | + | 0.836437i | \(0.315365\pi\) | |||||||
\(812\) | −25.1274 | − | 14.5073i | −0.881798 | − | 0.509106i | ||||
\(813\) | − | 23.6826i | − | 0.830584i | ||||||
\(814\) | 13.4733 | − | 23.3364i | 0.472238 | − | 0.817940i | ||||
\(815\) | 11.8465 | − | 1.98967i | 0.414966 | − | 0.0696951i | ||||
\(816\) | −7.80443 | −0.273210 | ||||||||
\(817\) | 37.1799 | + | 22.0319i | 1.30076 | + | 0.770800i | ||||
\(818\) | 25.2671i | 0.883444i | ||||||||
\(819\) | 2.01496 | 0.0704083 | ||||||||
\(820\) | 16.5916 | + | 6.19211i | 0.579405 | + | 0.216238i | ||||
\(821\) | −14.9160 | −0.520572 | −0.260286 | − | 0.965532i | \(-0.583817\pi\) | ||||
−0.260286 | + | 0.965532i | \(0.583817\pi\) | |||||||
\(822\) | 14.5937 | + | 8.42566i | 0.509013 | + | 0.293879i | ||||
\(823\) | 18.8328 | + | 10.8731i | 0.656469 | + | 0.379012i | 0.790930 | − | 0.611906i | \(-0.209597\pi\) |
−0.134461 | + | 0.990919i | \(0.542930\pi\) | |||||||
\(824\) | 8.45040 | + | 14.6365i | 0.294384 | + | 0.509887i | ||||
\(825\) | 9.76850 | + | 28.2606i | 0.340095 | + | 0.983907i | ||||
\(826\) | −8.30844 | − | 14.3906i | −0.289088 | − | 0.500714i | ||||
\(827\) | 5.35165 | + | 3.08977i | 0.186095 | + | 0.107442i | 0.590153 | − | 0.807291i | \(-0.299067\pi\) |
−0.404058 | + | 0.914733i | \(0.632401\pi\) | |||||||
\(828\) | 0.301349i | 0.0104726i | ||||||||
\(829\) | 16.9896 | − | 29.4269i | 0.590074 | − | 1.02204i | −0.404147 | − | 0.914694i | \(-0.632432\pi\) |
0.994222 | − | 0.107345i | \(-0.0342349\pi\) | |||||||
\(830\) | −3.04050 | + | 2.50943i | −0.105537 | + | 0.0871036i | ||||
\(831\) | 4.77869 | + | 8.27693i | 0.165771 | + | 0.287124i | ||||
\(832\) | 0.344070 | − | 0.198649i | 0.0119285 | − | 0.00688691i | ||||
\(833\) | − | 53.4273i | − | 1.85114i | ||||||
\(834\) | −9.25709 | − | 16.0337i | −0.320547 | − | 0.555203i | ||||
\(835\) | 15.1081 | + | 18.3055i | 0.522839 | + | 0.633487i | ||||
\(836\) | 14.9719 | − | 25.9321i | 0.517814 | − | 0.896879i | ||||
\(837\) | 29.1938 | + | 16.8550i | 1.00909 | + | 0.582596i | ||||
\(838\) | − | 31.5224i | − | 1.08892i | ||||||
\(839\) | −13.0338 | −0.449976 | −0.224988 | − | 0.974362i | \(-0.572234\pi\) | ||||
−0.224988 | + | 0.974362i | \(0.572234\pi\) | |||||||
\(840\) | −4.11777 | + | 11.0335i | −0.142077 | + | 0.380691i | ||||
\(841\) | −11.7901 | + | 20.4211i | −0.406556 | + | 0.704175i | ||||
\(842\) | −19.9137 | + | 11.4972i | −0.686273 | + | 0.396220i | ||||
\(843\) | −17.1236 | + | 9.88634i | −0.589770 | + | 0.340504i | ||||
\(844\) | 26.6725 | 0.918104 | ||||||||
\(845\) | −22.1471 | + | 18.2787i | −0.761882 | + | 0.628808i | ||||
\(846\) | −4.59374 | − | 7.95659i | −0.157936 | − | 0.273553i | ||||
\(847\) | 33.4138 | − | 19.2914i | 1.14811 | − | 0.662862i | ||||
\(848\) | −3.99163 | − | 2.30457i | −0.137073 | − | 0.0791393i | ||||
\(849\) | 24.3017 | 0.834032 | ||||||||
\(850\) | −5.62221 | + | 29.1085i | −0.192840 | + | 0.998414i | ||||
\(851\) | 0.705045 | + | 1.22117i | 0.0241686 | + | 0.0418613i | ||||
\(852\) | 3.95077i | 0.135351i | ||||||||
\(853\) | −31.9003 | + | 18.4176i | −1.09224 | + | 0.630607i | −0.934173 | − | 0.356820i | \(-0.883861\pi\) |
−0.158071 | + | 0.987428i | \(0.550527\pi\) | |||||||
\(854\) | −5.86226 | + | 10.1537i | −0.200602 | + | 0.347453i | ||||
\(855\) | −17.5000 | − | 6.53114i | −0.598488 | − | 0.223360i | ||||
\(856\) | 14.2763 | 0.487953 | ||||||||
\(857\) | −30.4431 | − | 17.5763i | −1.03992 | − | 0.600397i | −0.120107 | − | 0.992761i | \(-0.538324\pi\) |
−0.919810 | + | 0.392364i | \(0.871657\pi\) | |||||||
\(858\) | − | 2.37594i | − | 0.0811131i | ||||||
\(859\) | 16.9803 | 0.579360 | 0.289680 | − | 0.957124i | \(-0.406451\pi\) | ||||
0.289680 | + | 0.957124i | \(0.406451\pi\) | |||||||
\(860\) | 5.28239 | − | 13.6783i | 0.180128 | − | 0.466427i | ||||
\(861\) | 41.7122 | 1.42155 | ||||||||
\(862\) | 13.7976i | 0.469947i | ||||||||
\(863\) | 21.3072 | + | 12.3017i | 0.725304 | + | 0.418755i | 0.816702 | − | 0.577060i | \(-0.195800\pi\) |
−0.0913976 | + | 0.995814i | \(0.529133\pi\) | |||||||
\(864\) | −5.61708 | −0.191097 | ||||||||
\(865\) | 19.4858 | − | 52.2117i | 0.662536 | − | 1.77525i | ||||
\(866\) | 12.6720 | − | 21.9485i | 0.430612 | − | 0.745842i | ||||
\(867\) | −20.6968 | + | 11.9493i | −0.702900 | + | 0.405820i | ||||
\(868\) | 24.0135i | 0.815070i | ||||||||
\(869\) | 26.0966 | + | 45.2007i | 0.885267 | + | 1.53333i | ||||
\(870\) | 19.9949 | + | 7.46222i | 0.677889 | + | 0.252993i | ||||
\(871\) | 1.63818 | 0.0555077 | ||||||||
\(872\) | 9.53787 | + | 5.50669i | 0.322993 | + | 0.186480i | ||||
\(873\) | 8.69379 | − | 5.01936i | 0.294240 | − | 0.169880i | ||||
\(874\) | 0.783466 | + | 1.35700i | 0.0265011 | + | 0.0459013i | ||||
\(875\) | 38.1856 | + | 23.3066i | 1.29091 | + | 0.787907i | ||||
\(876\) | 13.0886 | 0.442224 | ||||||||
\(877\) | −39.5938 | + | 22.8595i | −1.33699 | + | 0.771911i | −0.986360 | − | 0.164604i | \(-0.947366\pi\) |
−0.350629 | + | 0.936514i | \(0.614032\pi\) | |||||||
\(878\) | −1.99869 | + | 1.15394i | −0.0674525 | + | 0.0389437i | ||||
\(879\) | 11.2330 | − | 19.4561i | 0.378879 | − | 0.656237i | ||||
\(880\) | −9.51810 | − | 3.55222i | −0.320855 | − | 0.119745i | ||||
\(881\) | −25.8020 | −0.869292 | −0.434646 | − | 0.900601i | \(-0.643127\pi\) | ||||
−0.434646 | + | 0.900601i | \(0.643127\pi\) | |||||||
\(882\) | − | 11.4210i | − | 0.384565i | ||||||
\(883\) | −27.0549 | − | 15.6202i | −0.910471 | − | 0.525661i | −0.0298884 | − | 0.999553i | \(-0.509515\pi\) |
−0.880583 | + | 0.473893i | \(0.842849\pi\) | |||||||
\(884\) | 1.17785 | − | 2.04009i | 0.0396153 | − | 0.0686158i | ||||
\(885\) | 7.78020 | + | 9.42671i | 0.261528 | + | 0.316875i | ||||
\(886\) | −10.5576 | − | 18.2862i | −0.354688 | − | 0.614338i | ||||
\(887\) | 2.27964i | 0.0765429i | 0.999267 | + | 0.0382715i | \(0.0121852\pi\) | ||||
−0.999267 | + | 0.0382715i | \(0.987815\pi\) | |||||||
\(888\) | −6.76068 | + | 3.90328i | −0.226874 | + | 0.130986i | ||||
\(889\) | −20.7135 | − | 35.8769i | −0.694709 | − | 1.20327i | ||||
\(890\) | −21.0857 | − | 25.5481i | −0.706795 | − | 0.856373i | ||||
\(891\) | −8.15768 | + | 14.1295i | −0.273293 | + | 0.473357i | ||||
\(892\) | 3.84306i | 0.128675i | ||||||||
\(893\) | −41.3721 | − | 23.8862i | −1.38447 | − | 0.799322i | ||||
\(894\) | 4.30857 | + | 7.46267i | 0.144100 | + | 0.249589i | ||||
\(895\) | 1.73983 | + | 10.3590i | 0.0581560 | + | 0.346262i | ||||
\(896\) | −2.00067 | − | 3.46526i | −0.0668377 | − | 0.115766i | ||||
\(897\) | 0.107674 | + | 0.0621654i | 0.00359512 | + | 0.00207564i | ||||
\(898\) | 17.8712 | + | 10.3179i | 0.596370 | + | 0.344314i | ||||
\(899\) | 43.5172 | 1.45138 | ||||||||
\(900\) | −1.20184 | + | 6.22244i | −0.0400615 | + | 0.207415i | ||||
\(901\) | −27.3290 | −0.910460 | ||||||||
\(902\) | 35.9833i | 1.19811i | ||||||||
\(903\) | 0.391784 | − | 34.5342i | 0.0130377 | − | 1.14923i | ||||
\(904\) | 12.0708 | 0.401467 | ||||||||
\(905\) | 4.04378 | + | 24.0768i | 0.134420 | + | 0.800339i | ||||
\(906\) | −5.90597 | + | 10.2294i | −0.196213 | + | 0.339850i | ||||
\(907\) | − | 28.6607i | − | 0.951662i | −0.879537 | − | 0.475831i | \(-0.842147\pi\) | ||
0.879537 | − | 0.475831i | \(-0.157853\pi\) | |||||||
\(908\) | −19.4469 | − | 11.2277i | −0.645369 | − | 0.372604i | ||||
\(909\) | −7.62323 | + | 13.2038i | −0.252847 | + | 0.437943i | ||||
\(910\) | −2.26271 | − | 2.74157i | −0.0750083 | − | 0.0908822i | ||||
\(911\) | −19.3711 | −0.641792 | −0.320896 | − | 0.947114i | \(-0.603984\pi\) | ||||
−0.320896 | + | 0.947114i | \(0.603984\pi\) | |||||||
\(912\) | −7.51266 | + | 4.33744i | −0.248769 | + | 0.143627i | ||||
\(913\) | −6.93711 | − | 4.00514i | −0.229585 | − | 0.132551i | ||||
\(914\) | −1.30912 | −0.0433018 | ||||||||
\(915\) | 3.01541 | − | 8.07972i | 0.0996864 | − | 0.267107i | ||||
\(916\) | 4.29832 | + | 7.44490i | 0.142020 | + | 0.245986i | ||||
\(917\) | −6.29281 | + | 3.63315i | −0.207807 | + | 0.119977i | ||||
\(918\) | −28.8433 | + | 16.6527i | −0.951970 | + | 0.549620i | ||||
\(919\) | 12.3502 | 0.407394 | 0.203697 | − | 0.979034i | \(-0.434704\pi\) | ||||
0.203697 | + | 0.979034i | \(0.434704\pi\) | |||||||
\(920\) | 0.410018 | − | 0.338402i | 0.0135179 | − | 0.0111568i | ||||
\(921\) | 3.67837 | + | 6.37112i | 0.121206 | + | 0.209936i | ||||
\(922\) | 23.0426 | + | 13.3037i | 0.758869 | + | 0.438133i | ||||
\(923\) | −1.03274 | − | 0.596252i | −0.0339930 | − | 0.0196259i | ||||
\(924\) | −23.9290 | −0.787206 | ||||||||
\(925\) | 9.68792 | + | 28.0275i | 0.318537 | + | 0.921537i | ||||
\(926\) | −3.25107 | + | 5.63102i | −0.106837 | + | 0.185047i | ||||
\(927\) | 18.5516 | + | 10.7108i | 0.609315 | + | 0.351788i | ||||
\(928\) | −6.27974 | + | 3.62561i | −0.206143 | + | 0.119017i | ||||
\(929\) | −20.1781 | − | 34.9495i | −0.662022 | − | 1.14666i | −0.980083 | − | 0.198586i | \(-0.936365\pi\) |
0.318061 | − | 0.948070i | \(-0.396968\pi\) | |||||||
\(930\) | −2.92565 | − | 17.4194i | −0.0959357 | − | 0.571203i | ||||
\(931\) | −29.6930 | − | 51.4299i | −0.973150 | − | 1.68555i | ||||
\(932\) | −14.1980 | + | 8.19720i | −0.465070 | + | 0.268508i | ||||
\(933\) | 9.46281 | − | 5.46336i | 0.309799 | − | 0.178862i | ||||
\(934\) | 9.67000 | − | 16.7489i | 0.316412 | − | 0.548042i | ||||
\(935\) | −59.4058 | + | 9.97743i | −1.94278 | + | 0.326297i | ||||
\(936\) | 0.251785 | − | 0.436105i | 0.00822986 | − | 0.0142545i | ||||
\(937\) | 31.2029 | − | 18.0150i | 1.01935 | − | 0.588524i | 0.105437 | − | 0.994426i | \(-0.466376\pi\) |
0.913917 | + | 0.405902i | \(0.133042\pi\) | |||||||
\(938\) | − | 16.4988i | − | 0.538704i | ||||||
\(939\) | −7.33692 | − | 12.7079i | −0.239431 | − | 0.414707i | ||||
\(940\) | −5.66723 | + | 15.1852i | −0.184845 | + | 0.495287i | ||||
\(941\) | −10.5368 | + | 18.2502i | −0.343489 | + | 0.594940i | −0.985078 | − | 0.172108i | \(-0.944942\pi\) |
0.641589 | + | 0.767049i | \(0.278275\pi\) | |||||||
\(942\) | − | 7.20708i | − | 0.234819i | ||||||
\(943\) | −1.63070 | − | 0.941488i | −0.0531031 | − | 0.0306591i | ||||
\(944\) | −4.15283 | −0.135163 | ||||||||
\(945\) | 8.32435 | + | 49.5633i | 0.270791 | + | 1.61229i | ||||
\(946\) | 29.7912 | + | 0.337975i | 0.968594 | + | 0.0109885i | ||||
\(947\) | − | 18.7358i | − | 0.608832i | −0.952539 | − | 0.304416i | \(-0.901539\pi\) | ||
0.952539 | − | 0.304416i | \(-0.0984614\pi\) | |||||||
\(948\) | − | 15.1207i | − | 0.491096i | ||||||
\(949\) | −1.97534 | + | 3.42139i | −0.0641223 | + | 0.111063i | ||||
\(950\) | 10.7655 | + | 31.1449i | 0.349279 | + | 1.01047i | ||||
\(951\) | 12.4984 | − | 21.6479i | 0.405289 | − | 0.701981i | ||||
\(952\) | −20.5466 | − | 11.8626i | −0.665918 | − | 0.384468i | ||||
\(953\) | −9.16995 | + | 5.29427i | −0.297044 | + | 0.171498i | −0.641114 | − | 0.767446i | \(-0.721527\pi\) |
0.344070 | + | 0.938944i | \(0.388194\pi\) | |||||||
\(954\) | −5.84204 | −0.189143 | ||||||||
\(955\) | 13.0455 | − | 10.7669i | 0.422144 | − | 0.348410i | ||||
\(956\) | 13.1099 | − | 22.7070i | 0.424004 | − | 0.734397i | ||||
\(957\) | 43.3641i | 1.40176i | ||||||||
\(958\) | −2.36011 | − | 1.36261i | −0.0762516 | − | 0.0440239i | ||||
\(959\) | 25.6136 | + | 44.3641i | 0.827108 | + | 1.43259i | ||||
\(960\) | 1.87347 | + | 2.26995i | 0.0604659 | + | 0.0732623i | ||||
\(961\) | −2.50816 | − | 4.34425i | −0.0809083 | − | 0.140137i | ||||
\(962\) | − | 2.35634i | − | 0.0759714i | ||||||
\(963\) | 15.6707 | − | 9.04751i | 0.504983 | − | 0.291552i | ||||
\(964\) | 12.1780 | + | 21.0930i | 0.392228 | + | 0.679359i | ||||
\(965\) | 4.91240 | − | 13.1627i | 0.158136 | − | 0.423721i | ||||
\(966\) | 0.626092 | − | 1.08442i | 0.0201442 | − | 0.0348908i | ||||
\(967\) | − | 45.2957i | − | 1.45661i | −0.685252 | − | 0.728306i | \(-0.740308\pi\) | ||
0.685252 | − | 0.728306i | \(-0.259692\pi\) | |||||||
\(968\) | − | 9.64250i | − | 0.309922i | ||||||
\(969\) | −25.7180 | + | 44.5448i | −0.826181 | + | 1.43099i | ||||
\(970\) | −16.5922 | − | 6.19232i | −0.532743 | − | 0.198823i | ||||
\(971\) | −24.5555 | − | 42.5313i | −0.788022 | − | 1.36489i | −0.927177 | − | 0.374623i | \(-0.877772\pi\) |
0.139155 | − | 0.990271i | \(-0.455561\pi\) | |||||||
\(972\) | −10.5002 | + | 6.06229i | −0.336794 | + | 0.194448i | ||||
\(973\) | − | 56.2823i | − | 1.80433i | ||||||
\(974\) | −9.70670 | − | 16.8125i | −0.311023 | − | 0.538707i | ||||
\(975\) | 1.97539 | + | 1.71306i | 0.0632630 | + | 0.0548618i | ||||
\(976\) | 1.46507 | + | 2.53758i | 0.0468959 | + | 0.0812260i | ||||
\(977\) | 13.5573 | + | 7.82732i | 0.433737 | + | 0.250418i | 0.700937 | − | 0.713223i | \(-0.252765\pi\) |
−0.267200 | + | 0.963641i | \(0.586099\pi\) | |||||||
\(978\) | − | 7.07106i | − | 0.226108i | ||||||
\(979\) | 33.6535 | − | 58.2897i | 1.07557 | − | 1.86295i | ||||
\(980\) | −15.5395 | + | 12.8253i | −0.496392 | + | 0.409690i | ||||
\(981\) | 13.9593 | 0.445688 | ||||||||
\(982\) | −13.5353 | + | 7.81462i | −0.431930 | + | 0.249375i | ||||
\(983\) | −48.7707 | − | 28.1578i | −1.55554 | − | 0.898093i | −0.997674 | − | 0.0681633i | \(-0.978286\pi\) |
−0.557868 | − | 0.829930i | \(-0.688381\pi\) | |||||||
\(984\) | 5.21228 | − | 9.02793i | 0.166161 | − | 0.287800i | ||||
\(985\) | −4.46264 | + | 0.749518i | −0.142192 | + | 0.0238816i | ||||
\(986\) | −21.4973 | + | 37.2345i | −0.684615 | + | 1.18579i | ||||
\(987\) | 38.1764i | 1.21517i | ||||||||
\(988\) | − | 2.61843i | − | 0.0833034i | ||||||
\(989\) | −0.794790 | + | 1.34124i | −0.0252728 | + | 0.0426491i | ||||
\(990\) | −12.6990 | + | 2.13285i | −0.403601 | + | 0.0677863i | ||||
\(991\) | 9.24196 | 0.293581 | 0.146790 | − | 0.989168i | \(-0.453106\pi\) | ||||
0.146790 | + | 0.989168i | \(0.453106\pi\) | |||||||
\(992\) | 5.19733 | + | 3.00068i | 0.165015 | + | 0.0952717i | ||||
\(993\) | − | 14.7292i | − | 0.467416i | ||||||
\(994\) | −6.00509 | + | 10.4011i | −0.190470 | + | 0.329904i | ||||
\(995\) | 26.4258 | + | 9.86231i | 0.837755 | + | 0.312656i | ||||
\(996\) | 1.16031 | + | 2.00972i | 0.0367659 | + | 0.0636804i | ||||
\(997\) | − | 20.4649i | − | 0.648131i | −0.946035 | − | 0.324066i | \(-0.894950\pi\) | ||
0.946035 | − | 0.324066i | \(-0.105050\pi\) | |||||||
\(998\) | 34.8536 | − | 20.1228i | 1.10327 | − | 0.636975i | ||||
\(999\) | −16.6572 | + | 28.8511i | −0.527011 | + | 0.912810i |
(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 | 430.2.j.a.49.15 | yes | 44 | |
5.4 | even | 2 | inner | 430.2.j.a.49.8 | ✓ | 44 | |
43.36 | even | 3 | inner | 430.2.j.a.79.19 | yes | 44 | |
215.79 | even | 6 | inner | 430.2.j.a.79.4 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.j.a.49.8 | ✓ | 44 | 5.4 | even | 2 | inner | |
430.2.j.a.49.15 | yes | 44 | 1.1 | even | 1 | trivial | |
430.2.j.a.79.4 | yes | 44 | 215.79 | even | 6 | inner | |
430.2.j.a.79.19 | yes | 44 | 43.36 | even | 3 | inner |