Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.11 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.11 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.664619 | − | 1.24831i | −0.469957 | − | 0.882690i | ||||
\(3\) | −0.987688 | − | 0.156434i | −0.570242 | − | 0.0903175i | ||||
\(4\) | −1.11656 | + | 1.65930i | −0.558282 | + | 0.829651i | ||||
\(5\) | −1.95630 | − | 1.08300i | −0.874885 | − | 0.484331i | ||||
\(6\) | 0.461157 | + | 1.33691i | 0.188267 | + | 0.545792i | ||||
\(7\) | −2.24842 | + | 2.24842i | −0.849824 | + | 0.849824i | −0.990111 | − | 0.140286i | \(-0.955198\pi\) |
0.140286 | + | 0.990111i | \(0.455198\pi\) | |||||||
\(8\) | 2.81342 | + | 0.291015i | 0.994693 | + | 0.102889i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | −0.0517207 | + | 3.16185i | −0.0163555 | + | 0.999866i | ||||
\(11\) | 5.18278 | − | 1.68399i | 1.56267 | − | 0.507741i | 0.605147 | − | 0.796113i | \(-0.293114\pi\) |
0.957518 | + | 0.288372i | \(0.0931141\pi\) | |||||||
\(12\) | 1.36239 | − | 1.46421i | 0.393288 | − | 0.422680i | ||||
\(13\) | 0.704711 | + | 1.38307i | 0.195452 | + | 0.383596i | 0.967844 | − | 0.251550i | \(-0.0809402\pi\) |
−0.772393 | + | 0.635145i | \(0.780940\pi\) | |||||||
\(14\) | 4.30108 | + | 1.31239i | 1.14951 | + | 0.350751i | ||||
\(15\) | 1.76280 | + | 1.37570i | 0.455153 | + | 0.355203i | ||||
\(16\) | −1.50657 | − | 3.70543i | −0.376643 | − | 0.926358i | ||||
\(17\) | 1.01255 | + | 6.39301i | 0.245580 | + | 1.55053i | 0.734747 | + | 0.678341i | \(0.237301\pi\) |
−0.489167 | + | 0.872190i | \(0.662699\pi\) | |||||||
\(18\) | −0.246341 | − | 1.39259i | −0.0580631 | − | 0.328237i | ||||
\(19\) | 1.67389 | + | 1.21615i | 0.384016 | + | 0.279004i | 0.762999 | − | 0.646400i | \(-0.223726\pi\) |
−0.378983 | + | 0.925404i | \(0.623726\pi\) | |||||||
\(20\) | 3.98135 | − | 2.03686i | 0.890258 | − | 0.455457i | ||||
\(21\) | 2.57247 | − | 1.86901i | 0.561360 | − | 0.407852i | ||||
\(22\) | −5.54671 | − | 5.35051i | −1.18256 | − | 1.14073i | ||||
\(23\) | −0.0339545 | + | 0.0666396i | −0.00708001 | + | 0.0138953i | −0.894519 | − | 0.447029i | \(-0.852482\pi\) |
0.887439 | + | 0.460924i | \(0.152482\pi\) | |||||||
\(24\) | −2.73325 | − | 0.727547i | −0.557923 | − | 0.148510i | ||||
\(25\) | 2.65424 | + | 4.23734i | 0.530848 | + | 0.847467i | ||||
\(26\) | 1.25814 | − | 1.79892i | 0.246742 | − | 0.352796i | ||||
\(27\) | −0.891007 | − | 0.453990i | −0.171474 | − | 0.0873705i | ||||
\(28\) | −1.22031 | − | 6.24133i | −0.230617 | − | 1.17950i | ||||
\(29\) | 0.915875 | + | 1.26059i | 0.170074 | + | 0.234086i | 0.885543 | − | 0.464558i | \(-0.153787\pi\) |
−0.715469 | + | 0.698645i | \(0.753787\pi\) | |||||||
\(30\) | 0.545707 | − | 3.11484i | 0.0996320 | − | 0.568689i | ||||
\(31\) | −0.382042 | + | 0.525836i | −0.0686169 | + | 0.0944430i | −0.841946 | − | 0.539562i | \(-0.818590\pi\) |
0.773329 | + | 0.634005i | \(0.218590\pi\) | |||||||
\(32\) | −3.62424 | + | 4.34337i | −0.640681 | + | 0.767807i | ||||
\(33\) | −5.38240 | + | 0.852489i | −0.936956 | + | 0.148399i | ||||
\(34\) | 7.30750 | − | 5.51289i | 1.25323 | − | 0.945453i | ||||
\(35\) | 6.83363 | − | 1.96356i | 1.15509 | − | 0.331903i | ||||
\(36\) | −1.57467 | + | 1.23305i | −0.262445 | + | 0.205509i | ||||
\(37\) | −6.97057 | + | 3.55168i | −1.14595 | + | 0.583893i | −0.920647 | − | 0.390395i | \(-0.872338\pi\) |
−0.225307 | + | 0.974288i | \(0.572338\pi\) | |||||||
\(38\) | 0.405637 | − | 2.89781i | 0.0658030 | − | 0.470086i | ||||
\(39\) | −0.479675 | − | 1.47629i | −0.0768094 | − | 0.236395i | ||||
\(40\) | −5.18873 | − | 3.61623i | −0.820410 | − | 0.571776i | ||||
\(41\) | −0.243815 | + | 0.750387i | −0.0380776 | + | 0.117191i | −0.968289 | − | 0.249835i | \(-0.919624\pi\) |
0.930211 | + | 0.367025i | \(0.119624\pi\) | |||||||
\(42\) | −4.04282 | − | 1.96907i | −0.623821 | − | 0.303834i | ||||
\(43\) | 8.59891 | + | 8.59891i | 1.31132 | + | 1.31132i | 0.920442 | + | 0.390880i | \(0.127829\pi\) |
0.390880 | + | 0.920442i | \(0.372171\pi\) | |||||||
\(44\) | −2.99265 | + | 10.4801i | −0.451160 | + | 1.57993i | ||||
\(45\) | −1.52589 | − | 1.63452i | −0.227466 | − | 0.243660i | ||||
\(46\) | 0.105754 | − | 0.00190406i | 0.0155925 | − | 0.000280738i | ||||
\(47\) | 0.848551 | − | 5.35754i | 0.123774 | − | 0.781478i | −0.845225 | − | 0.534411i | \(-0.820533\pi\) |
0.968998 | − | 0.247067i | \(-0.0794667\pi\) | |||||||
\(48\) | 0.908367 | + | 3.89549i | 0.131111 | + | 0.562266i | ||||
\(49\) | − | 3.11082i | − | 0.444403i | ||||||
\(50\) | 3.52546 | − | 6.12953i | 0.498575 | − | 0.866847i | ||||
\(51\) | − | 6.47270i | − | 0.906359i | ||||||
\(52\) | −3.08179 | − | 0.374960i | −0.427368 | − | 0.0519976i | ||||
\(53\) | 1.48302 | − | 9.36344i | 0.203709 | − | 1.28617i | −0.647793 | − | 0.761816i | \(-0.724308\pi\) |
0.851502 | − | 0.524351i | \(-0.175692\pi\) | |||||||
\(54\) | 0.0254582 | + | 1.41398i | 0.00346443 | + | 0.192419i | ||||
\(55\) | −11.9628 | − | 2.31854i | −1.61307 | − | 0.312632i | ||||
\(56\) | −6.98008 | + | 5.67143i | −0.932752 | + | 0.757877i | ||||
\(57\) | −1.46303 | − | 1.46303i | −0.193783 | − | 0.193783i | ||||
\(58\) | 0.964906 | − | 1.98111i | 0.126698 | − | 0.260133i | ||||
\(59\) | −2.30263 | + | 7.08677i | −0.299777 | + | 0.922619i | 0.681798 | + | 0.731541i | \(0.261198\pi\) |
−0.981575 | + | 0.191078i | \(0.938802\pi\) | |||||||
\(60\) | −4.25097 | + | 1.38897i | −0.548798 | + | 0.179315i | ||||
\(61\) | 2.12100 | + | 6.52776i | 0.271566 | + | 0.835794i | 0.990108 | + | 0.140310i | \(0.0448099\pi\) |
−0.718542 | + | 0.695484i | \(0.755190\pi\) | |||||||
\(62\) | 0.910320 | + | 0.127427i | 0.115611 | + | 0.0161833i | ||||
\(63\) | −2.83318 | + | 1.44358i | −0.356947 | + | 0.181874i | ||||
\(64\) | 7.83062 | + | 1.63749i | 0.978828 | + | 0.204686i | ||||
\(65\) | 0.119235 | − | 3.46891i | 0.0147893 | − | 0.430265i | ||||
\(66\) | 4.64142 | + | 6.15233i | 0.571319 | + | 0.757300i | ||||
\(67\) | −1.91967 | + | 0.304046i | −0.234525 | + | 0.0371451i | −0.272590 | − | 0.962130i | \(-0.587880\pi\) |
0.0380656 | + | 0.999275i | \(0.487880\pi\) | |||||||
\(68\) | −11.7385 | − | 5.45806i | −1.42350 | − | 0.661887i | ||||
\(69\) | 0.0439612 | − | 0.0605074i | 0.00529231 | − | 0.00728424i | ||||
\(70\) | −6.99290 | − | 7.22548i | −0.835811 | − | 0.863610i | ||||
\(71\) | 1.60163 | + | 2.20445i | 0.190079 | + | 0.261621i | 0.893411 | − | 0.449241i | \(-0.148305\pi\) |
−0.703332 | + | 0.710861i | \(0.748305\pi\) | |||||||
\(72\) | 2.58579 | + | 1.14616i | 0.304738 | + | 0.135077i | ||||
\(73\) | −2.35633 | − | 1.20061i | −0.275788 | − | 0.140521i | 0.310627 | − | 0.950532i | \(-0.399461\pi\) |
−0.586415 | + | 0.810011i | \(0.699461\pi\) | |||||||
\(74\) | 9.06638 | + | 6.34092i | 1.05394 | + | 0.737117i | ||||
\(75\) | −1.95870 | − | 4.60038i | −0.226171 | − | 0.531206i | ||||
\(76\) | −3.88696 | + | 1.41958i | −0.445865 | + | 0.162837i | ||||
\(77\) | −7.86676 | + | 15.4394i | −0.896501 | + | 1.75948i | ||||
\(78\) | −1.52406 | + | 1.57995i | −0.172566 | + | 0.178894i | ||||
\(79\) | −7.91533 | + | 5.75082i | −0.890544 | + | 0.647018i | −0.936020 | − | 0.351947i | \(-0.885520\pi\) |
0.0454758 | + | 0.998965i | \(0.485520\pi\) | |||||||
\(80\) | −1.06566 | + | 8.88056i | −0.119144 | + | 0.992877i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 1.09876 | − | 0.194364i | 0.121338 | − | 0.0214639i | ||||
\(83\) | 0.895475 | + | 5.65381i | 0.0982912 | + | 0.620586i | 0.986827 | + | 0.161779i | \(0.0517231\pi\) |
−0.888536 | + | 0.458807i | \(0.848277\pi\) | |||||||
\(84\) | 0.228927 | + | 6.35538i | 0.0249779 | + | 0.693429i | ||||
\(85\) | 4.94274 | − | 13.6032i | 0.536115 | − | 1.47548i | ||||
\(86\) | 5.01912 | − | 16.4491i | 0.541226 | − | 1.77375i | ||||
\(87\) | −0.707399 | − | 1.38835i | −0.0758411 | − | 0.148847i | ||||
\(88\) | 15.0714 | − | 3.22949i | 1.60661 | − | 0.344265i | ||||
\(89\) | −17.4987 | + | 5.68568i | −1.85486 | + | 0.602680i | −0.858978 | + | 0.512012i | \(0.828900\pi\) |
−0.995881 | + | 0.0906684i | \(0.971100\pi\) | |||||||
\(90\) | −1.02626 | + | 2.99112i | −0.108177 | + | 0.315292i | ||||
\(91\) | −4.69423 | − | 1.52525i | −0.492089 | − | 0.159889i | ||||
\(92\) | −0.0726628 | − | 0.130748i | −0.00757562 | − | 0.0136314i | ||||
\(93\) | 0.459598 | − | 0.459598i | 0.0476581 | − | 0.0476581i | ||||
\(94\) | −7.25185 | + | 2.50147i | −0.747971 | + | 0.258007i | ||||
\(95\) | −1.95754 | − | 4.19197i | −0.200840 | − | 0.430087i | ||||
\(96\) | 4.25907 | − | 3.72294i | 0.434690 | − | 0.379971i | ||||
\(97\) | 2.17132 | + | 0.343903i | 0.220464 | + | 0.0349181i | 0.265689 | − | 0.964059i | \(-0.414401\pi\) |
−0.0452251 | + | 0.998977i | \(0.514401\pi\) | |||||||
\(98\) | −3.88328 | + | 2.06751i | −0.392270 | + | 0.208850i | ||||
\(99\) | 5.44949 | 0.547695 | ||||||||
\(100\) | −9.99465 | − | 0.327067i | −0.999465 | − | 0.0327067i | ||||
\(101\) | 15.7433 | 1.56652 | 0.783259 | − | 0.621696i | \(-0.213556\pi\) | ||||
0.783259 | + | 0.621696i | \(0.213556\pi\) | |||||||
\(102\) | −8.07994 | + | 4.30188i | −0.800033 | + | 0.425949i | ||||
\(103\) | −7.13122 | − | 1.12947i | −0.702660 | − | 0.111290i | −0.205127 | − | 0.978735i | \(-0.565761\pi\) |
−0.497533 | + | 0.867445i | \(0.665761\pi\) | |||||||
\(104\) | 1.58015 | + | 4.09624i | 0.154947 | + | 0.401670i | ||||
\(105\) | −7.05667 | + | 0.870373i | −0.688660 | + | 0.0849397i | ||||
\(106\) | −12.6741 | + | 4.37185i | −1.23102 | + | 0.424631i | ||||
\(107\) | 13.4991 | − | 13.4991i | 1.30500 | − | 1.30500i | 0.380028 | − | 0.924975i | \(-0.375914\pi\) |
0.924975 | − | 0.380028i | \(-0.124086\pi\) | |||||||
\(108\) | 1.74817 | − | 0.971541i | 0.168218 | − | 0.0934865i | ||||
\(109\) | 15.4062 | + | 5.00578i | 1.47565 | + | 0.479467i | 0.932809 | − | 0.360371i | \(-0.117350\pi\) |
0.542837 | + | 0.839838i | \(0.317350\pi\) | |||||||
\(110\) | 5.05646 | + | 16.4743i | 0.482115 | + | 1.57076i | ||||
\(111\) | 7.44035 | − | 2.41752i | 0.706207 | − | 0.229461i | ||||
\(112\) | 11.7188 | + | 4.94397i | 1.10732 | + | 0.467161i | ||||
\(113\) | −6.37504 | − | 12.5117i | −0.599713 | − | 1.17700i | −0.968855 | − | 0.247630i | \(-0.920348\pi\) |
0.369142 | − | 0.929373i | \(-0.379652\pi\) | |||||||
\(114\) | −0.853960 | + | 2.79867i | −0.0799806 | + | 0.262120i | ||||
\(115\) | 0.138596 | − | 0.0935945i | 0.0129241 | − | 0.00872773i | ||||
\(116\) | −3.11434 | + | 0.112181i | −0.289159 | + | 0.0104158i | ||||
\(117\) | 0.242827 | + | 1.53315i | 0.0224494 | + | 0.141740i | ||||
\(118\) | 10.3769 | − | 1.83560i | 0.955268 | − | 0.168981i | ||||
\(119\) | −16.6508 | − | 12.0975i | −1.52638 | − | 1.10898i | ||||
\(120\) | 4.55914 | + | 4.38340i | 0.416191 | + | 0.400148i | ||||
\(121\) | 15.1262 | − | 10.9898i | 1.37511 | − | 0.999073i | ||||
\(122\) | 6.73902 | − | 6.98614i | 0.610122 | − | 0.632495i | ||||
\(123\) | 0.358200 | − | 0.703007i | 0.0322978 | − | 0.0633880i | ||||
\(124\) | −0.445947 | − | 1.22105i | −0.0400472 | − | 0.109654i | ||||
\(125\) | −0.603477 | − | 11.1640i | −0.0539766 | − | 0.998542i | ||||
\(126\) | 3.68502 | + | 2.57726i | 0.328288 | + | 0.229601i | ||||
\(127\) | 12.9842 | + | 6.61579i | 1.15216 | + | 0.587056i | 0.922417 | − | 0.386195i | \(-0.126211\pi\) |
0.229745 | + | 0.973251i | \(0.426211\pi\) | |||||||
\(128\) | −3.16028 | − | 10.8634i | −0.279332 | − | 0.960195i | ||||
\(129\) | −7.14788 | − | 9.83821i | −0.629336 | − | 0.866206i | ||||
\(130\) | −4.40953 | + | 2.15666i | −0.386741 | + | 0.189152i | ||||
\(131\) | −3.79810 | + | 5.22764i | −0.331842 | + | 0.456741i | −0.942037 | − | 0.335510i | \(-0.891091\pi\) |
0.610195 | + | 0.792252i | \(0.291091\pi\) | |||||||
\(132\) | 4.59525 | − | 9.88289i | 0.399966 | − | 0.860195i | ||||
\(133\) | −6.49802 | + | 1.02919i | −0.563450 | + | 0.0892417i | ||||
\(134\) | 1.65539 | + | 2.19427i | 0.143004 | + | 0.189556i | ||||
\(135\) | 1.25141 | + | 1.85310i | 0.107704 | + | 0.159489i | ||||
\(136\) | 0.988274 | + | 18.2809i | 0.0847438 | + | 1.56757i | ||||
\(137\) | 10.0828 | − | 5.13743i | 0.861429 | − | 0.438920i | 0.0332921 | − | 0.999446i | \(-0.489401\pi\) |
0.828137 | + | 0.560526i | \(0.189401\pi\) | |||||||
\(138\) | −0.104750 | − | 0.0146629i | −0.00891688 | − | 0.00124819i | ||||
\(139\) | −4.69272 | − | 14.4427i | −0.398032 | − | 1.22502i | −0.926575 | − | 0.376109i | \(-0.877262\pi\) |
0.528544 | − | 0.848906i | \(-0.322738\pi\) | |||||||
\(140\) | −4.37204 | + | 13.5315i | −0.369505 | + | 1.14362i | ||||
\(141\) | −1.67621 | + | 5.15884i | −0.141162 | + | 0.434453i | ||||
\(142\) | 1.68737 | − | 3.46446i | 0.141601 | − | 0.290731i | ||||
\(143\) | 5.98144 | + | 5.98144i | 0.500193 | + | 0.500193i | ||||
\(144\) | −0.287794 | − | 3.98963i | −0.0239828 | − | 0.332469i | ||||
\(145\) | −0.426510 | − | 3.45799i | −0.0354198 | − | 0.287171i | ||||
\(146\) | 0.0673263 | + | 3.73939i | 0.00557196 | + | 0.309474i | ||||
\(147\) | −0.486640 | + | 3.07252i | −0.0401374 | + | 0.253417i | ||||
\(148\) | 1.88976 | − | 15.5320i | 0.155338 | − | 1.27672i | ||||
\(149\) | − | 15.7548i | − | 1.29069i | −0.763893 | − | 0.645344i | \(-0.776714\pi\) | ||
0.763893 | − | 0.645344i | \(-0.223286\pi\) | |||||||
\(150\) | −4.44092 | + | 5.50256i | −0.362600 | + | 0.449282i | ||||
\(151\) | 3.99629i | 0.325214i | 0.986691 | + | 0.162607i | \(0.0519902\pi\) | ||||
−0.986691 | + | 0.162607i | \(0.948010\pi\) | |||||||
\(152\) | 4.35542 | + | 3.90866i | 0.353271 | + | 0.317034i | ||||
\(153\) | −1.01255 | + | 6.39301i | −0.0818600 | + | 0.516844i | ||||
\(154\) | 24.5016 | − | 0.441141i | 1.97439 | − | 0.0355482i | ||||
\(155\) | 1.31687 | − | 0.614945i | 0.105773 | − | 0.0493935i | ||||
\(156\) | 2.98519 | + | 0.852442i | 0.239007 | + | 0.0682500i | ||||
\(157\) | 8.02968 | + | 8.02968i | 0.640838 | + | 0.640838i | 0.950762 | − | 0.309923i | \(-0.100303\pi\) |
−0.309923 | + | 0.950762i | \(0.600303\pi\) | |||||||
\(158\) | 12.4395 | + | 6.05869i | 0.989633 | + | 0.482003i | ||||
\(159\) | −2.92953 | + | 9.01617i | −0.232327 | + | 0.715029i | ||||
\(160\) | 11.7940 | − | 4.57192i | 0.932395 | − | 0.361442i | ||||
\(161\) | −0.0734898 | − | 0.226178i | −0.00579180 | − | 0.0178253i | ||||
\(162\) | 0.196051 | − | 1.40056i | 0.0154032 | − | 0.110038i | ||||
\(163\) | 6.57414 | − | 3.34969i | 0.514926 | − | 0.262368i | −0.177161 | − | 0.984182i | \(-0.556691\pi\) |
0.692087 | + | 0.721814i | \(0.256691\pi\) | |||||||
\(164\) | −0.972883 | − | 1.24242i | −0.0759694 | − | 0.0970165i | ||||
\(165\) | 11.4528 | + | 4.16139i | 0.891603 | + | 0.323964i | ||||
\(166\) | 6.46256 | − | 4.87546i | 0.501592 | − | 0.378409i | ||||
\(167\) | −17.5556 | + | 2.78053i | −1.35849 | + | 0.215164i | −0.792815 | − | 0.609463i | \(-0.791385\pi\) |
−0.565677 | + | 0.824627i | \(0.691385\pi\) | |||||||
\(168\) | 7.78135 | − | 4.50968i | 0.600344 | − | 0.347929i | ||||
\(169\) | 6.22493 | − | 8.56789i | 0.478841 | − | 0.659068i | ||||
\(170\) | −20.2661 | + | 2.87089i | −1.55434 | + | 0.220187i | ||||
\(171\) | 1.21615 | + | 1.67389i | 0.0930012 | + | 0.128005i | ||||
\(172\) | −23.8694 | + | 4.66697i | −1.82003 | + | 0.355853i | ||||
\(173\) | 4.82016 | + | 2.45599i | 0.366470 | + | 0.186726i | 0.627522 | − | 0.778599i | \(-0.284069\pi\) |
−0.261052 | + | 0.965325i | \(0.584069\pi\) | |||||||
\(174\) | −1.26294 | + | 1.80578i | −0.0957433 | + | 0.136896i | ||||
\(175\) | −15.4952 | − | 3.55947i | −1.17133 | − | 0.269071i | ||||
\(176\) | −14.0481 | − | 16.6674i | −1.05892 | − | 1.25635i | ||||
\(177\) | 3.38290 | − | 6.63931i | 0.254274 | − | 0.499041i | ||||
\(178\) | 18.7275 | + | 18.0650i | 1.40368 | + | 1.35403i | ||||
\(179\) | −11.9881 | + | 8.70985i | −0.896031 | + | 0.651005i | −0.937444 | − | 0.348137i | \(-0.886814\pi\) |
0.0414122 | + | 0.999142i | \(0.486814\pi\) | |||||||
\(180\) | 4.41592 | − | 0.706868i | 0.329143 | − | 0.0526868i | ||||
\(181\) | 1.42850 | + | 1.03787i | 0.106179 | + | 0.0771439i | 0.639608 | − | 0.768701i | \(-0.279097\pi\) |
−0.533429 | + | 0.845845i | \(0.679097\pi\) | |||||||
\(182\) | 1.21589 | + | 6.87356i | 0.0901277 | + | 0.509502i | ||||
\(183\) | −1.07372 | − | 6.77919i | −0.0793715 | − | 0.501132i | ||||
\(184\) | −0.114921 | + | 0.177604i | −0.00847211 | + | 0.0130931i | ||||
\(185\) | 17.4830 | + | 0.600933i | 1.28538 | + | 0.0441815i | ||||
\(186\) | −0.879179 | − | 0.268264i | −0.0644645 | − | 0.0196701i | ||||
\(187\) | 16.0136 | + | 31.4284i | 1.17103 | + | 2.29827i | ||||
\(188\) | 7.94233 | + | 7.39004i | 0.579254 | + | 0.538974i | ||||
\(189\) | 3.02412 | − | 0.982597i | 0.219973 | − | 0.0714734i | ||||
\(190\) | −3.93186 | + | 5.22968i | −0.285247 | + | 0.379401i | ||||
\(191\) | −8.50756 | − | 2.76427i | −0.615585 | − | 0.200016i | −0.0154061 | − | 0.999881i | \(-0.504904\pi\) |
−0.600179 | + | 0.799866i | \(0.704904\pi\) | |||||||
\(192\) | −7.47805 | − | 2.84231i | −0.539682 | − | 0.205126i | ||||
\(193\) | −17.6293 | + | 17.6293i | −1.26898 | + | 1.26898i | −0.322368 | + | 0.946614i | \(0.604479\pi\) |
−0.946614 | + | 0.322368i | \(0.895521\pi\) | |||||||
\(194\) | −1.01380 | − | 2.93905i | −0.0727867 | − | 0.211011i | ||||
\(195\) | −0.660424 | + | 3.40755i | −0.0472939 | + | 0.244020i | ||||
\(196\) | 5.16180 | + | 3.47343i | 0.368700 | + | 0.248102i | ||||
\(197\) | −21.9319 | − | 3.47367i | −1.56258 | − | 0.247489i | −0.685587 | − | 0.727990i | \(-0.740455\pi\) |
−0.876994 | + | 0.480502i | \(0.840455\pi\) | |||||||
\(198\) | −3.62184 | − | 6.80267i | −0.257393 | − | 0.483444i | ||||
\(199\) | 13.2784 | 0.941282 | 0.470641 | − | 0.882325i | \(-0.344023\pi\) | ||||
0.470641 | + | 0.882325i | \(0.344023\pi\) | |||||||
\(200\) | 6.23435 | + | 12.6938i | 0.440835 | + | 0.897588i | ||||
\(201\) | 1.94360 | 0.137091 | ||||||||
\(202\) | −10.4633 | − | 19.6525i | −0.736195 | − | 1.38275i | ||||
\(203\) | −4.89363 | − | 0.775074i | −0.343465 | − | 0.0543995i | ||||
\(204\) | 10.7402 | + | 7.22717i | 0.751962 | + | 0.506003i | ||||
\(205\) | 1.28964 | − | 1.20393i | 0.0900725 | − | 0.0840863i | ||||
\(206\) | 3.32961 | + | 9.65266i | 0.231985 | + | 0.672532i | ||||
\(207\) | −0.0528854 | + | 0.0528854i | −0.00367579 | + | 0.00367579i | ||||
\(208\) | 4.06319 | − | 4.69496i | 0.281731 | − | 0.325537i | ||||
\(209\) | 10.7234 | + | 3.48423i | 0.741750 | + | 0.241009i | ||||
\(210\) | 5.77649 | + | 8.23045i | 0.398616 | + | 0.567955i | ||||
\(211\) | −3.06542 | + | 0.996017i | −0.211032 | + | 0.0685686i | −0.412625 | − | 0.910901i | \(-0.635388\pi\) |
0.201593 | + | 0.979469i | \(0.435388\pi\) | |||||||
\(212\) | 13.8809 | + | 12.9157i | 0.953344 | + | 0.887051i | ||||
\(213\) | −1.23706 | − | 2.42786i | −0.0847619 | − | 0.166355i | ||||
\(214\) | −25.8228 | − | 7.87930i | −1.76521 | − | 0.538618i | ||||
\(215\) | −7.50948 | − | 26.1347i | −0.512143 | − | 1.78237i | ||||
\(216\) | −2.37465 | − | 1.53656i | −0.161575 | − | 0.104550i | ||||
\(217\) | −0.323310 | − | 2.04130i | −0.0219477 | − | 0.138572i | ||||
\(218\) | −3.99048 | − | 22.5587i | −0.270270 | − | 1.52787i | ||||
\(219\) | 2.13951 | + | 1.55444i | 0.144574 | + | 0.105039i | ||||
\(220\) | 17.2044 | − | 17.2612i | 1.15992 | − | 1.16375i | ||||
\(221\) | −8.12844 | + | 5.90566i | −0.546778 | + | 0.397258i | ||||
\(222\) | −7.96281 | − | 7.68115i | −0.534429 | − | 0.515525i | ||||
\(223\) | 4.43449 | − | 8.70318i | 0.296955 | − | 0.582808i | −0.693530 | − | 0.720428i | \(-0.743945\pi\) |
0.990485 | + | 0.137620i | \(0.0439453\pi\) | |||||||
\(224\) | −1.61692 | − | 17.9146i | −0.108035 | − | 1.19697i | ||||
\(225\) | 1.21492 | + | 4.85015i | 0.0809948 | + | 0.323343i | ||||
\(226\) | −11.3815 | + | 16.2736i | −0.757089 | + | 1.08250i | ||||
\(227\) | −0.635189 | − | 0.323645i | −0.0421590 | − | 0.0214811i | 0.432784 | − | 0.901498i | \(-0.357531\pi\) |
−0.474943 | + | 0.880017i | \(0.657531\pi\) | |||||||
\(228\) | 4.06117 | − | 0.794044i | 0.268958 | − | 0.0525869i | ||||
\(229\) | −13.0845 | − | 18.0093i | −0.864648 | − | 1.19009i | −0.980441 | − | 0.196812i | \(-0.936941\pi\) |
0.115793 | − | 0.993273i | \(-0.463059\pi\) | |||||||
\(230\) | −0.208948 | − | 0.110806i | −0.0137777 | − | 0.00730633i | ||||
\(231\) | 10.1852 | − | 14.0187i | 0.670135 | − | 0.922361i | ||||
\(232\) | 2.20989 | + | 3.81311i | 0.145086 | + | 0.250343i | ||||
\(233\) | 3.83373 | − | 0.607204i | 0.251156 | − | 0.0397792i | −0.0295868 | − | 0.999562i | \(-0.509419\pi\) |
0.280743 | + | 0.959783i | \(0.409419\pi\) | |||||||
\(234\) | 1.75246 | − | 1.32208i | 0.114562 | − | 0.0864273i | ||||
\(235\) | −7.46222 | + | 9.56200i | −0.486782 | + | 0.623756i | ||||
\(236\) | −9.18807 | − | 11.7336i | −0.598092 | − | 0.763792i | ||||
\(237\) | 8.71750 | − | 4.44179i | 0.566263 | − | 0.288525i | ||||
\(238\) | −4.03504 | + | 28.8257i | −0.261553 | + | 1.86849i | ||||
\(239\) | 7.61415 | + | 23.4340i | 0.492519 | + | 1.51582i | 0.820788 | + | 0.571232i | \(0.193534\pi\) |
−0.328270 | + | 0.944584i | \(0.606466\pi\) | |||||||
\(240\) | 2.44176 | − | 8.60452i | 0.157615 | − | 0.555419i | ||||
\(241\) | −3.52384 | + | 10.8453i | −0.226990 | + | 0.698605i | 0.771093 | + | 0.636722i | \(0.219710\pi\) |
−0.998083 | + | 0.0618821i | \(0.980290\pi\) | |||||||
\(242\) | −23.7718 | − | 11.5781i | −1.52811 | − | 0.744271i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | −13.1998 | − | 3.76928i | −0.845028 | − | 0.241303i | ||||
\(245\) | −3.36901 | + | 6.08571i | −0.215238 | + | 0.388802i | ||||
\(246\) | −1.11564 | + | 0.0200866i | −0.0711305 | + | 0.00128068i | ||||
\(247\) | −0.502418 | + | 3.17214i | −0.0319681 | + | 0.201838i | ||||
\(248\) | −1.22787 | + | 1.36822i | −0.0779699 | + | 0.0868818i | ||||
\(249\) | − | 5.72428i | − | 0.362762i | ||||||
\(250\) | −13.5351 | + | 8.17316i | −0.856036 | + | 0.516916i | ||||
\(251\) | − | 3.59287i | − | 0.226780i | −0.993551 | − | 0.113390i | \(-0.963829\pi\) | ||
0.993551 | − | 0.113390i | \(-0.0361709\pi\) | |||||||
\(252\) | 0.768093 | − | 6.31295i | 0.0483853 | − | 0.397678i | ||||
\(253\) | −0.0637587 | + | 0.402557i | −0.00400848 | + | 0.0253085i | ||||
\(254\) | −0.370991 | − | 20.6053i | −0.0232780 | − | 1.29289i | ||||
\(255\) | −7.00990 | + | 12.6626i | −0.438977 | + | 0.792960i | ||||
\(256\) | −11.4605 | + | 11.1650i | −0.716280 | + | 0.697813i | ||||
\(257\) | 7.37059 | + | 7.37059i | 0.459765 | + | 0.459765i | 0.898578 | − | 0.438813i | \(-0.144601\pi\) |
−0.438813 | + | 0.898578i | \(0.644601\pi\) | |||||||
\(258\) | −7.53054 | + | 15.4614i | −0.468831 | + | 0.962587i | ||||
\(259\) | 7.68711 | − | 23.6585i | 0.477653 | − | 1.47007i | ||||
\(260\) | 5.62284 | + | 4.07110i | 0.348714 | + | 0.252479i | ||||
\(261\) | 0.481504 | + | 1.48192i | 0.0298043 | + | 0.0917284i | ||||
\(262\) | 9.05002 | + | 1.26683i | 0.559112 | + | 0.0782649i | ||||
\(263\) | 5.70232 | − | 2.90548i | 0.351620 | − | 0.179159i | −0.269255 | − | 0.963069i | \(-0.586777\pi\) |
0.620875 | + | 0.783910i | \(0.286777\pi\) | |||||||
\(264\) | −15.3910 | + | 0.832048i | −0.947252 | + | 0.0512090i | ||||
\(265\) | −13.0418 | + | 16.7116i | −0.801152 | + | 1.02659i | ||||
\(266\) | 5.60345 | + | 7.42754i | 0.343570 | + | 0.455412i | ||||
\(267\) | 18.1727 | − | 2.87827i | 1.11215 | − | 0.176148i | ||||
\(268\) | 1.63893 | − | 3.52480i | 0.100113 | − | 0.215311i | ||||
\(269\) | −9.21074 | + | 12.6775i | −0.561589 | + | 0.772961i | −0.991527 | − | 0.129897i | \(-0.958535\pi\) |
0.429939 | + | 0.902858i | \(0.358535\pi\) | |||||||
\(270\) | 1.48154 | − | 2.79375i | 0.0901634 | − | 0.170022i | ||||
\(271\) | −1.95435 | − | 2.68994i | −0.118719 | − | 0.163402i | 0.745522 | − | 0.666481i | \(-0.232200\pi\) |
−0.864240 | + | 0.503079i | \(0.832200\pi\) | |||||||
\(272\) | 22.1634 | − | 13.3835i | 1.34385 | − | 0.811492i | ||||
\(273\) | 4.39783 | + | 2.24081i | 0.266169 | + | 0.135620i | ||||
\(274\) | −13.1143 | − | 9.17201i | −0.792265 | − | 0.554101i | ||||
\(275\) | 20.8919 | + | 17.4915i | 1.25983 | + | 1.05477i | ||||
\(276\) | 0.0513147 | + | 0.140505i | 0.00308878 | + | 0.00845743i | ||||
\(277\) | −4.78210 | + | 9.38541i | −0.287329 | + | 0.563914i | −0.988882 | − | 0.148703i | \(-0.952490\pi\) |
0.701553 | + | 0.712617i | \(0.252490\pi\) | |||||||
\(278\) | −14.9101 | + | 15.4569i | −0.894251 | + | 0.927042i | ||||
\(279\) | −0.525836 | + | 0.382042i | −0.0314810 | + | 0.0228723i | ||||
\(280\) | 19.7973 | − | 3.53563i | 1.18311 | − | 0.211295i | ||||
\(281\) | 11.3562 | + | 8.25073i | 0.677451 | + | 0.492197i | 0.872511 | − | 0.488594i | \(-0.162490\pi\) |
−0.195060 | + | 0.980791i | \(0.562490\pi\) | |||||||
\(282\) | 7.55388 | − | 1.33623i | 0.449827 | − | 0.0795715i | ||||
\(283\) | 0.132703 | + | 0.837855i | 0.00788839 | + | 0.0498053i | 0.991319 | − | 0.131482i | \(-0.0419736\pi\) |
−0.983430 | + | 0.181287i | \(0.941974\pi\) | |||||||
\(284\) | −5.44618 | + | 0.196176i | −0.323171 | + | 0.0116409i | ||||
\(285\) | 1.27767 | + | 4.44658i | 0.0756828 | + | 0.263393i | ||||
\(286\) | 3.49132 | − | 11.4421i | 0.206446 | − | 0.676584i | ||||
\(287\) | −1.13899 | − | 2.23539i | −0.0672323 | − | 0.131951i | ||||
\(288\) | −4.78903 | + | 3.01084i | −0.282196 | + | 0.177416i | ||||
\(289\) | −23.6773 | + | 7.69322i | −1.39278 | + | 0.452542i | ||||
\(290\) | −4.03318 | + | 2.83066i | −0.236837 | + | 0.166222i | ||||
\(291\) | −2.09079 | − | 0.679338i | −0.122564 | − | 0.0398235i | ||||
\(292\) | 4.62318 | − | 2.56931i | 0.270551 | − | 0.150358i | ||||
\(293\) | −17.8592 | + | 17.8592i | −1.04335 | + | 1.04335i | −0.0443303 | + | 0.999017i | \(0.514115\pi\) |
−0.999017 | + | 0.0443303i | \(0.985885\pi\) | |||||||
\(294\) | 4.15890 | − | 1.43458i | 0.242552 | − | 0.0836664i | ||||
\(295\) | 12.1796 | − | 11.3701i | 0.709123 | − | 0.661994i | ||||
\(296\) | −20.6447 | + | 7.96382i | −1.19995 | + | 0.462888i | ||||
\(297\) | −5.38240 | − | 0.852489i | −0.312319 | − | 0.0494664i | ||||
\(298\) | −19.6670 | + | 10.4710i | −1.13928 | + | 0.606567i | ||||
\(299\) | −0.116096 | −0.00671398 | ||||||||
\(300\) | 9.82043 | + | 1.88655i | 0.566983 | + | 0.108920i | ||||
\(301\) | −38.6680 | −2.22879 | ||||||||
\(302\) | 4.98862 | − | 2.65601i | 0.287063 | − | 0.152836i | ||||
\(303\) | −15.5495 | − | 2.46280i | −0.893294 | − | 0.141484i | ||||
\(304\) | 1.98453 | − | 8.03469i | 0.113821 | − | 0.460821i | ||||
\(305\) | 2.92022 | − | 15.0673i | 0.167212 | − | 0.862751i | ||||
\(306\) | 8.65342 | − | 2.98493i | 0.494683 | − | 0.170637i | ||||
\(307\) | 10.3879 | − | 10.3879i | 0.592866 | − | 0.592866i | −0.345539 | − | 0.938405i | \(-0.612304\pi\) |
0.938405 | + | 0.345539i | \(0.112304\pi\) | |||||||
\(308\) | −16.8349 | − | 30.2924i | −0.959257 | − | 1.72607i | ||||
\(309\) | 6.86674 | + | 2.23114i | 0.390635 | + | 0.126925i | ||||
\(310\) | −1.64286 | − | 1.23516i | −0.0933081 | − | 0.0701523i | ||||
\(311\) | −3.30183 | + | 1.07283i | −0.187230 | + | 0.0608346i | −0.401131 | − | 0.916021i | \(-0.631383\pi\) |
0.213902 | + | 0.976855i | \(0.431383\pi\) | |||||||
\(312\) | −0.919903 | − | 4.29300i | −0.0520793 | − | 0.243043i | ||||
\(313\) | 1.60421 | + | 3.14843i | 0.0906751 | + | 0.177960i | 0.931890 | − | 0.362741i | \(-0.118159\pi\) |
−0.841215 | + | 0.540701i | \(0.818159\pi\) | |||||||
\(314\) | 4.68687 | − | 15.3602i | 0.264495 | − | 0.866828i | ||||
\(315\) | 7.10595 | + | 0.244249i | 0.400375 | + | 0.0137619i | ||||
\(316\) | −0.704392 | − | 19.5551i | −0.0396251 | − | 1.10006i | ||||
\(317\) | −4.67900 | − | 29.5420i | −0.262799 | − | 1.65925i | −0.667360 | − | 0.744736i | \(-0.732576\pi\) |
0.404561 | − | 0.914511i | \(-0.367424\pi\) | |||||||
\(318\) | 13.2020 | − | 2.33535i | 0.740332 | − | 0.130960i | ||||
\(319\) | 6.86960 | + | 4.99105i | 0.384624 | + | 0.279445i | ||||
\(320\) | −13.5457 | − | 11.6840i | −0.757226 | − | 0.653153i | ||||
\(321\) | −15.4446 | + | 11.2211i | −0.862032 | + | 0.626303i | ||||
\(322\) | −0.233498 | + | 0.242060i | −0.0130123 | + | 0.0134895i | ||||
\(323\) | −6.07995 | + | 11.9326i | −0.338297 | + | 0.663946i | ||||
\(324\) | −1.87863 | + | 0.686105i | −0.104368 | + | 0.0381169i | ||||
\(325\) | −3.99008 | + | 6.65711i | −0.221330 | + | 0.369270i | ||||
\(326\) | −8.55076 | − | 5.98031i | −0.473583 | − | 0.331218i | ||||
\(327\) | −14.4334 | − | 7.35421i | −0.798171 | − | 0.406689i | ||||
\(328\) | −0.904328 | + | 2.04020i | −0.0499331 | + | 0.112651i | ||||
\(329\) | 10.1381 | + | 13.9539i | 0.558933 | + | 0.769305i | ||||
\(330\) | −2.41706 | − | 17.0625i | −0.133055 | − | 0.939258i | ||||
\(331\) | 9.91309 | − | 13.6442i | 0.544873 | − | 0.749953i | −0.444433 | − | 0.895812i | \(-0.646595\pi\) |
0.989305 | + | 0.145860i | \(0.0465947\pi\) | |||||||
\(332\) | −10.3812 | − | 4.82697i | −0.569744 | − | 0.264914i | ||||
\(333\) | −7.72693 | + | 1.22383i | −0.423433 | + | 0.0670652i | ||||
\(334\) | 15.1387 | + | 20.0668i | 0.828355 | + | 1.09801i | ||||
\(335\) | 4.08473 | + | 1.48419i | 0.223173 | + | 0.0810899i | ||||
\(336\) | −10.8011 | − | 6.71633i | −0.589249 | − | 0.366406i | ||||
\(337\) | 11.6829 | − | 5.95275i | 0.636410 | − | 0.324267i | −0.105847 | − | 0.994382i | \(-0.533755\pi\) |
0.742257 | + | 0.670116i | \(0.233755\pi\) | |||||||
\(338\) | −14.8326 | − | 2.07628i | −0.806787 | − | 0.112935i | ||||
\(339\) | 4.33929 | + | 13.3549i | 0.235678 | + | 0.725341i | ||||
\(340\) | 17.0530 | + | 23.3904i | 0.924830 | + | 1.26852i | ||||
\(341\) | −1.09454 | + | 3.36865i | −0.0592726 | + | 0.182422i | ||||
\(342\) | 1.28125 | − | 2.63063i | 0.0692823 | − | 0.142248i | ||||
\(343\) | −8.74452 | − | 8.74452i | −0.472160 | − | 0.472160i | ||||
\(344\) | 21.6899 | + | 26.6947i | 1.16944 | + | 1.43928i | ||||
\(345\) | −0.151531 | + | 0.0707610i | −0.00815814 | + | 0.00380965i | ||||
\(346\) | −0.137724 | − | 7.64936i | −0.00740408 | − | 0.411232i | ||||
\(347\) | 5.76587 | − | 36.4043i | 0.309528 | − | 1.95428i | 0.0108135 | − | 0.999942i | \(-0.496558\pi\) |
0.298715 | − | 0.954342i | \(-0.403442\pi\) | |||||||
\(348\) | 3.09355 | + | 0.376390i | 0.165831 | + | 0.0201766i | ||||
\(349\) | − | 16.2550i | − | 0.870112i | −0.900403 | − | 0.435056i | \(-0.856729\pi\) | ||
0.900403 | − | 0.435056i | \(-0.143271\pi\) | |||||||
\(350\) | 5.85506 | + | 21.7085i | 0.312966 | + | 1.16037i | ||||
\(351\) | − | 1.55226i | − | 0.0828535i | ||||||
\(352\) | −11.4694 | + | 28.6139i | −0.611323 | + | 1.52513i | ||||
\(353\) | −0.452204 | + | 2.85511i | −0.0240684 | + | 0.151962i | −0.996796 | − | 0.0799899i | \(-0.974511\pi\) |
0.972727 | + | 0.231952i | \(0.0745112\pi\) | |||||||
\(354\) | −10.5363 | + | 0.189701i | −0.559996 | + | 0.0100825i | ||||
\(355\) | −0.745857 | − | 6.04714i | −0.0395860 | − | 0.320949i | ||||
\(356\) | 10.1042 | − | 35.3841i | 0.535519 | − | 1.87535i | ||||
\(357\) | 14.5534 | + | 14.5534i | 0.770246 | + | 0.770246i | ||||
\(358\) | 18.8401 | + | 9.17613i | 0.995731 | + | 0.484974i | ||||
\(359\) | 0.862634 | − | 2.65492i | 0.0455281 | − | 0.140121i | −0.925708 | − | 0.378238i | \(-0.876530\pi\) |
0.971237 | + | 0.238117i | \(0.0765301\pi\) | |||||||
\(360\) | −3.81729 | − | 5.04264i | −0.201189 | − | 0.265771i | ||||
\(361\) | −4.54845 | − | 13.9987i | −0.239392 | − | 0.736773i | ||||
\(362\) | 0.346172 | − | 2.47300i | 0.0181944 | − | 0.129978i | ||||
\(363\) | −16.6591 | + | 8.48825i | −0.874377 | + | 0.445518i | ||||
\(364\) | 7.77225 | − | 6.08611i | 0.407376 | − | 0.318999i | ||||
\(365\) | 3.30944 | + | 4.90066i | 0.173224 | + | 0.256512i | ||||
\(366\) | −7.74892 | + | 5.84591i | −0.405043 | + | 0.305571i | ||||
\(367\) | −2.64453 | + | 0.418853i | −0.138044 | + | 0.0218639i | −0.225074 | − | 0.974342i | \(-0.572262\pi\) |
0.0870303 | + | 0.996206i | \(0.472262\pi\) | |||||||
\(368\) | 0.298083 | + | 0.0254190i | 0.0155387 | + | 0.00132506i | ||||
\(369\) | −0.463764 | + | 0.638317i | −0.0241426 | + | 0.0332295i | ||||
\(370\) | −10.8694 | − | 22.2236i | −0.565072 | − | 1.15535i | ||||
\(371\) | 17.7185 | + | 24.3875i | 0.919900 | + | 1.26613i | ||||
\(372\) | 0.249442 | + | 1.27578i | 0.0129330 | + | 0.0661462i | ||||
\(373\) | 26.3105 | + | 13.4059i | 1.36231 | + | 0.694130i | 0.973819 | − | 0.227324i | \(-0.0729978\pi\) |
0.388487 | + | 0.921454i | \(0.372998\pi\) | |||||||
\(374\) | 28.5895 | − | 40.8778i | 1.47833 | − | 2.11374i | ||||
\(375\) | −1.15039 | + | 11.1210i | −0.0594061 | + | 0.574286i | ||||
\(376\) | 3.94645 | − | 14.8261i | 0.203523 | − | 0.764596i | ||||
\(377\) | −1.09807 | + | 2.15508i | −0.0565533 | + | 0.110992i | ||||
\(378\) | −3.23648 | − | 3.12200i | −0.166466 | − | 0.160578i | ||||
\(379\) | 9.56556 | − | 6.94978i | 0.491350 | − | 0.356986i | −0.314353 | − | 0.949306i | \(-0.601788\pi\) |
0.805703 | + | 0.592320i | \(0.201788\pi\) | |||||||
\(380\) | 9.14146 | + | 1.43244i | 0.468947 | + | 0.0734827i | ||||
\(381\) | −11.7894 | − | 8.56551i | −0.603990 | − | 0.438825i | ||||
\(382\) | 2.20361 | + | 12.4573i | 0.112747 | + | 0.637369i | ||||
\(383\) | 3.61331 | + | 22.8135i | 0.184632 | + | 1.16572i | 0.889689 | + | 0.456567i | \(0.150921\pi\) |
−0.705057 | + | 0.709150i | \(0.749079\pi\) | |||||||
\(384\) | 1.42197 | + | 11.2240i | 0.0725645 | + | 0.572772i | ||||
\(385\) | 32.1106 | − | 21.6845i | 1.63651 | − | 1.10514i | ||||
\(386\) | 33.7236 | + | 10.2901i | 1.71648 | + | 0.523751i | ||||
\(387\) | 5.52084 | + | 10.8353i | 0.280640 | + | 0.550787i | ||||
\(388\) | −2.99505 | + | 3.21889i | −0.152051 | + | 0.163414i | ||||
\(389\) | −3.09467 | + | 1.00552i | −0.156906 | + | 0.0509818i | −0.386417 | − | 0.922324i | \(-0.626287\pi\) |
0.229511 | + | 0.973306i | \(0.426287\pi\) | |||||||
\(390\) | 4.69261 | − | 1.44031i | 0.237620 | − | 0.0729328i | ||||
\(391\) | −0.460408 | − | 0.149596i | −0.0232838 | − | 0.00756537i | ||||
\(392\) | 0.905295 | − | 8.75204i | 0.0457243 | − | 0.442045i | ||||
\(393\) | 4.56913 | − | 4.56913i | 0.230482 | − | 0.230482i | ||||
\(394\) | 10.2401 | + | 29.6865i | 0.515890 | + | 1.49558i | ||||
\(395\) | 21.7129 | − | 2.67808i | 1.09249 | − | 0.134749i | ||||
\(396\) | −6.08470 | + | 9.04236i | −0.305768 | + | 0.454396i | ||||
\(397\) | 13.8296 | + | 2.19040i | 0.694089 | + | 0.109933i | 0.493504 | − | 0.869743i | \(-0.335716\pi\) |
0.200585 | + | 0.979676i | \(0.435716\pi\) | |||||||
\(398\) | −8.82508 | − | 16.5756i | −0.442362 | − | 0.830860i | ||||
\(399\) | 6.57902 | 0.329363 | ||||||||
\(400\) | 11.7024 | − | 16.2190i | 0.585118 | − | 0.810948i | ||||
\(401\) | 21.6899 | 1.08314 | 0.541571 | − | 0.840655i | \(-0.317830\pi\) | ||||
0.541571 | + | 0.840655i | \(0.317830\pi\) | |||||||
\(402\) | −1.29175 | − | 2.42621i | −0.0644267 | − | 0.121009i | ||||
\(403\) | −0.996500 | − | 0.157830i | −0.0496392 | − | 0.00786208i | ||||
\(404\) | −17.5784 | + | 26.1229i | −0.874558 | + | 1.29966i | ||||
\(405\) | −0.946113 | − | 2.02605i | −0.0470127 | − | 0.100675i | ||||
\(406\) | 2.28486 | + | 6.62390i | 0.113396 | + | 0.328739i | ||||
\(407\) | −30.1459 | + | 30.1459i | −1.49428 | + | 1.49428i | ||||
\(408\) | 1.88365 | − | 18.2104i | 0.0932545 | − | 0.901548i | ||||
\(409\) | −7.03252 | − | 2.28500i | −0.347736 | − | 0.112986i | 0.129941 | − | 0.991522i | \(-0.458521\pi\) |
−0.477677 | + | 0.878536i | \(0.658521\pi\) | |||||||
\(410\) | −2.36000 | − | 0.809719i | −0.116552 | − | 0.0399892i | ||||
\(411\) | −10.7623 | + | 3.49689i | −0.530865 | + | 0.172489i | ||||
\(412\) | 9.83660 | − | 10.5717i | 0.484615 | − | 0.520832i | ||||
\(413\) | −10.7568 | − | 21.1114i | −0.529306 | − | 1.03882i | ||||
\(414\) | 0.101166 | + | 0.0308688i | 0.00497205 | + | 0.00151712i | ||||
\(415\) | 4.37123 | − | 12.0304i | 0.214575 | − | 0.590547i | ||||
\(416\) | −8.56125 | − | 1.95176i | −0.419750 | − | 0.0956931i | ||||
\(417\) | 2.37561 | + | 14.9990i | 0.116334 | + | 0.734505i | ||||
\(418\) | −2.77754 | − | 15.7018i | −0.135854 | − | 0.767999i | ||||
\(419\) | −18.4469 | − | 13.4024i | −0.901189 | − | 0.654752i | 0.0375823 | − | 0.999294i | \(-0.488034\pi\) |
−0.938771 | + | 0.344542i | \(0.888034\pi\) | |||||||
\(420\) | 6.43500 | − | 12.6810i | 0.313996 | − | 0.618768i | ||||
\(421\) | −7.58603 | + | 5.51157i | −0.369721 | + | 0.268618i | −0.757095 | − | 0.653305i | \(-0.773382\pi\) |
0.387375 | + | 0.921922i | \(0.373382\pi\) | |||||||
\(422\) | 3.28068 | + | 3.16463i | 0.159701 | + | 0.154052i | ||||
\(423\) | 2.46259 | − | 4.83311i | 0.119735 | − | 0.234994i | ||||
\(424\) | 6.89726 | − | 25.9117i | 0.334961 | − | 1.25838i | ||||
\(425\) | −24.4018 | + | 21.2591i | −1.18366 | + | 1.03122i | ||||
\(426\) | −2.20856 | + | 3.15784i | −0.107005 | + | 0.152998i | ||||
\(427\) | −19.4461 | − | 9.90827i | −0.941061 | − | 0.479495i | ||||
\(428\) | 7.32647 | + | 37.4716i | 0.354138 | + | 1.81126i | ||||
\(429\) | −4.97209 | − | 6.84350i | −0.240055 | − | 0.330407i | ||||
\(430\) | −27.6332 | + | 26.7438i | −1.33259 | + | 1.28970i | ||||
\(431\) | −2.42444 | + | 3.33696i | −0.116781 | + | 0.160736i | −0.863406 | − | 0.504510i | \(-0.831673\pi\) |
0.746625 | + | 0.665246i | \(0.231673\pi\) | |||||||
\(432\) | −0.339866 | + | 3.98554i | −0.0163518 | + | 0.191754i | ||||
\(433\) | 6.83033 | − | 1.08182i | 0.328245 | − | 0.0519888i | 0.00986265 | − | 0.999951i | \(-0.496861\pi\) |
0.318382 | + | 0.947963i | \(0.396861\pi\) | |||||||
\(434\) | −2.33330 | + | 1.76028i | −0.112002 | + | 0.0844959i | ||||
\(435\) | −0.119690 | + | 3.48214i | −0.00573868 | + | 0.166956i | ||||
\(436\) | −25.5081 | + | 19.9743i | −1.22162 | + | 0.956595i | ||||
\(437\) | −0.137880 | + | 0.0702532i | −0.00659568 | + | 0.00336067i | ||||
\(438\) | 0.518472 | − | 3.70388i | 0.0247735 | − | 0.176978i | ||||
\(439\) | 2.92427 | + | 8.99998i | 0.139568 | + | 0.429546i | 0.996273 | − | 0.0862616i | \(-0.0274921\pi\) |
−0.856705 | + | 0.515807i | \(0.827492\pi\) | |||||||
\(440\) | −32.9817 | − | 10.0044i | −1.57234 | − | 0.476940i | ||||
\(441\) | 0.961297 | − | 2.95857i | 0.0457761 | − | 0.140884i | ||||
\(442\) | 12.7744 | + | 6.22181i | 0.607617 | + | 0.295941i | ||||
\(443\) | 13.6461 | + | 13.6461i | 0.648348 | + | 0.648348i | 0.952593 | − | 0.304246i | \(-0.0984045\pi\) |
−0.304246 | + | 0.952593i | \(0.598404\pi\) | |||||||
\(444\) | −4.29623 | + | 15.0451i | −0.203890 | + | 0.714009i | ||||
\(445\) | 40.3903 | + | 7.82813i | 1.91469 | + | 0.371089i | ||||
\(446\) | −13.8115 | + | 0.248671i | −0.653995 | + | 0.0117749i | ||||
\(447\) | −2.46460 | + | 15.5609i | −0.116572 | + | 0.736004i | ||||
\(448\) | −21.2883 | + | 13.9248i | −1.00578 | + | 0.657884i | ||||
\(449\) | 10.3957i | 0.490602i | 0.969447 | + | 0.245301i | \(0.0788868\pi\) | ||||
−0.969447 | + | 0.245301i | \(0.921113\pi\) | |||||||
\(450\) | 5.24704 | − | 4.74010i | 0.247348 | − | 0.223451i | ||||
\(451\) | 4.29967i | 0.202463i | ||||||||
\(452\) | 27.8789 | + | 3.39200i | 1.31131 | + | 0.159546i | ||||
\(453\) | 0.625158 | − | 3.94709i | 0.0293725 | − | 0.185451i | ||||
\(454\) | 0.0181489 | + | 1.00801i | 0.000851771 | + | 0.0473085i | ||||
\(455\) | 7.53149 | + | 8.06767i | 0.353082 | + | 0.378218i | ||||
\(456\) | −3.69035 | − | 4.54187i | −0.172816 | − | 0.212693i | ||||
\(457\) | −19.6212 | − | 19.6212i | −0.917839 | − | 0.917839i | 0.0790331 | − | 0.996872i | \(-0.474817\pi\) |
−0.996872 | + | 0.0790331i | \(0.974817\pi\) | |||||||
\(458\) | −13.7850 | + | 28.3028i | −0.644129 | + | 1.32250i | ||||
\(459\) | 2.00017 | − | 6.15590i | 0.0933601 | − | 0.287333i | ||||
\(460\) | 0.000550687 | 0.334476i | 2.56759e−5 | 0.0155950i | ||||||
\(461\) | 1.59229 | + | 4.90056i | 0.0741602 | + | 0.228242i | 0.981265 | − | 0.192663i | \(-0.0617126\pi\) |
−0.907105 | + | 0.420905i | \(0.861713\pi\) | |||||||
\(462\) | −24.2689 | − | 3.39718i | −1.12909 | − | 0.158051i | ||||
\(463\) | −9.16026 | + | 4.66738i | −0.425713 | + | 0.216912i | −0.653702 | − | 0.756752i | \(-0.726785\pi\) |
0.227989 | + | 0.973664i | \(0.426785\pi\) | |||||||
\(464\) | 3.29121 | − | 5.29289i | 0.152791 | − | 0.245716i | ||||
\(465\) | −1.39686 | + | 0.401370i | −0.0647776 | + | 0.0186131i | ||||
\(466\) | −3.30595 | − | 4.38213i | −0.153145 | − | 0.202998i | ||||
\(467\) | 23.4649 | − | 3.71647i | 1.08582 | − | 0.171978i | 0.412231 | − | 0.911079i | \(-0.364750\pi\) |
0.673594 | + | 0.739102i | \(0.264750\pi\) | |||||||
\(468\) | −2.81509 | − | 1.30893i | −0.130128 | − | 0.0605055i | ||||
\(469\) | 3.63261 | − | 4.99985i | 0.167738 | − | 0.230872i | ||||
\(470\) | 16.8959 | + | 2.96009i | 0.779349 | + | 0.136539i | ||||
\(471\) | −6.67470 | − | 9.18694i | −0.307554 | − | 0.423312i | ||||
\(472\) | −8.54062 | + | 19.2679i | −0.393114 | + | 0.886879i | ||||
\(473\) | 59.0467 | + | 30.0858i | 2.71497 | + | 1.38335i | ||||
\(474\) | −11.3386 | − | 7.93006i | −0.520797 | − | 0.364240i | ||||
\(475\) | −0.710339 | + | 10.3208i | −0.0325926 | + | 0.473549i | ||||
\(476\) | 38.6652 | − | 14.1211i | 1.77222 | − | 0.647240i | ||||
\(477\) | 4.30390 | − | 8.44688i | 0.197062 | − | 0.386756i | ||||
\(478\) | 24.1924 | − | 25.0795i | 1.10653 | − | 1.14711i | ||||
\(479\) | 4.54572 | − | 3.30266i | 0.207699 | − | 0.150902i | −0.479073 | − | 0.877775i | \(-0.659027\pi\) |
0.686772 | + | 0.726873i | \(0.259027\pi\) | |||||||
\(480\) | −12.3640 | + | 2.67065i | −0.564335 | + | 0.121898i | ||||
\(481\) | −9.82447 | − | 7.13790i | −0.447957 | − | 0.325460i | ||||
\(482\) | 15.8803 | − | 2.80912i | 0.723327 | − | 0.127952i | ||||
\(483\) | 0.0372029 | + | 0.234890i | 0.00169279 | + | 0.0106879i | ||||
\(484\) | 1.34609 | + | 37.3697i | 0.0611860 | + | 1.69862i | ||||
\(485\) | −3.87531 | − | 3.02431i | −0.175969 | − | 0.137327i | ||||
\(486\) | −0.412733 | + | 1.35265i | −0.0187219 | + | 0.0613573i | ||||
\(487\) | −11.0631 | − | 21.7126i | −0.501319 | − | 0.983893i | −0.993546 | − | 0.113427i | \(-0.963817\pi\) |
0.492228 | − | 0.870467i | \(-0.336183\pi\) | |||||||
\(488\) | 4.06757 | + | 18.9825i | 0.184130 | + | 0.859299i | ||||
\(489\) | −7.01721 | + | 2.28003i | −0.317329 | + | 0.103106i | ||||
\(490\) | 9.83597 | + | 0.160894i | 0.444344 | + | 0.00726845i | ||||
\(491\) | −29.1023 | − | 9.45592i | −1.31337 | − | 0.426740i | −0.433157 | − | 0.901318i | \(-0.642600\pi\) |
−0.880213 | + | 0.474579i | \(0.842600\pi\) | |||||||
\(492\) | 0.766549 | + | 1.37931i | 0.0345587 | + | 0.0621843i | ||||
\(493\) | −7.13161 | + | 7.13161i | −0.321192 | + | 0.321192i | ||||
\(494\) | 4.29374 | − | 1.48109i | 0.193184 | − | 0.0666374i | ||||
\(495\) | −10.6609 | − | 5.90178i | −0.479170 | − | 0.265265i | ||||
\(496\) | 2.52403 | + | 0.623422i | 0.113332 | + | 0.0279925i | ||||
\(497\) | −8.55769 | − | 1.35541i | −0.383865 | − | 0.0607982i | ||||
\(498\) | −7.14569 | + | 3.80447i | −0.320206 | + | 0.170482i | ||||
\(499\) | 7.04119 | 0.315207 | 0.157603 | − | 0.987502i | \(-0.449623\pi\) | ||||
0.157603 | + | 0.987502i | \(0.449623\pi\) | |||||||
\(500\) | 19.1983 | + | 11.4640i | 0.858576 | + | 0.512686i | ||||
\(501\) | 17.7744 | 0.794102 | ||||||||
\(502\) | −4.48502 | + | 2.38789i | −0.200176 | + | 0.106577i | ||||
\(503\) | 20.7582 | + | 3.28777i | 0.925562 | + | 0.146595i | 0.600981 | − | 0.799263i | \(-0.294777\pi\) |
0.324581 | + | 0.945858i | \(0.394777\pi\) | |||||||
\(504\) | −8.39102 | + | 3.23689i | −0.373766 | + | 0.144182i | ||||
\(505\) | −30.7987 | − | 17.0499i | −1.37052 | − | 0.758712i | ||||
\(506\) | 0.544892 | − | 0.187956i | 0.0242234 | − | 0.00835567i | ||||
\(507\) | −7.48861 | + | 7.48861i | −0.332581 | + | 0.332581i | ||||
\(508\) | −25.4753 | + | 14.1578i | −1.13028 | + | 0.628151i | ||||
\(509\) | 29.1283 | + | 9.46435i | 1.29109 | + | 0.419500i | 0.872472 | − | 0.488664i | \(-0.162515\pi\) |
0.418616 | + | 0.908164i | \(0.362515\pi\) | |||||||
\(510\) | 20.4657 | + | 0.334772i | 0.906237 | + | 0.0148240i | ||||
\(511\) | 7.99752 | − | 2.59855i | 0.353790 | − | 0.114953i | ||||
\(512\) | 21.5543 | + | 6.88577i | 0.952573 | + | 0.304311i | ||||
\(513\) | −0.939323 | − | 1.84352i | −0.0414721 | − | 0.0813936i | ||||
\(514\) | 4.30216 | − | 14.0994i | 0.189760 | − | 0.621899i | ||||
\(515\) | 12.7276 | + | 9.93268i | 0.560846 | + | 0.437686i | ||||
\(516\) | 24.3056 | − | 0.875511i | 1.07000 | − | 0.0385422i | ||||
\(517\) | −4.62418 | − | 29.1959i | −0.203371 | − | 1.28403i | ||||
\(518\) | −34.6421 | + | 6.12797i | −1.52209 | + | 0.269248i | ||||
\(519\) | −4.37661 | − | 3.17980i | −0.192112 | − | 0.139578i | ||||
\(520\) | 1.34496 | − | 9.72479i | 0.0589804 | − | 0.426460i | ||||
\(521\) | 6.23330 | − | 4.52876i | 0.273086 | − | 0.198409i | −0.442810 | − | 0.896615i | \(-0.646018\pi\) |
0.715896 | + | 0.698207i | \(0.246018\pi\) | |||||||
\(522\) | 1.52988 | − | 1.58598i | 0.0669609 | − | 0.0694163i | ||||
\(523\) | 6.42384 | − | 12.6075i | 0.280895 | − | 0.551287i | −0.706850 | − | 0.707363i | \(-0.749884\pi\) |
0.987745 | + | 0.156076i | \(0.0498845\pi\) | |||||||
\(524\) | −4.43342 | − | 12.1392i | −0.193675 | − | 0.530303i | ||||
\(525\) | 14.7476 | + | 5.93963i | 0.643638 | + | 0.259227i | ||||
\(526\) | −7.41681 | − | 5.18724i | −0.323388 | − | 0.226174i | ||||
\(527\) | −3.74851 | − | 1.90996i | −0.163288 | − | 0.0831993i | ||||
\(528\) | 11.2678 | + | 18.6598i | 0.490369 | + | 0.812063i | ||||
\(529\) | 13.5158 | + | 18.6029i | 0.587642 | + | 0.808820i | ||||
\(530\) | 29.5291 | + | 5.17339i | 1.28266 | + | 0.224718i | ||||
\(531\) | −4.37987 | + | 6.02837i | −0.190070 | + | 0.261609i | ||||
\(532\) | 5.54772 | − | 11.9313i | 0.240524 | − | 0.517289i | ||||
\(533\) | −1.20966 | + | 0.191591i | −0.0523962 | + | 0.00829874i | ||||
\(534\) | −15.6709 | − | 20.7722i | −0.678147 | − | 0.898903i | ||||
\(535\) | −41.0277 | + | 11.7888i | −1.77378 | + | 0.509675i | ||||
\(536\) | −5.48931 | + | 0.296755i | −0.237102 | + | 0.0128179i | ||||
\(537\) | 13.2030 | − | 6.72727i | 0.569752 | − | 0.290303i | ||||
\(538\) | 21.9471 | + | 3.07217i | 0.946207 | + | 0.132451i | ||||
\(539\) | −5.23858 | − | 16.1227i | −0.225642 | − | 0.694454i | ||||
\(540\) | −4.47213 | + | 0.00736298i | −0.192450 | + | 0.000316852i | ||||
\(541\) | 7.51720 | − | 23.1356i | 0.323190 | − | 0.994675i | −0.649062 | − | 0.760736i | \(-0.724838\pi\) |
0.972251 | − | 0.233939i | \(-0.0751617\pi\) | |||||||
\(542\) | −2.05898 | + | 4.22743i | −0.0884407 | + | 0.181583i | ||||
\(543\) | −1.24855 | − | 1.24855i | −0.0535806 | − | 0.0535806i | ||||
\(544\) | −31.4369 | − | 18.7719i | −1.34785 | − | 0.804838i | ||||
\(545\) | −24.7179 | − | 26.4777i | −1.05880 | − | 1.13418i | ||||
\(546\) | −0.125657 | − | 6.97915i | −0.00537762 | − | 0.298680i | ||||
\(547\) | −3.14257 | + | 19.8414i | −0.134366 | + | 0.848356i | 0.824782 | + | 0.565451i | \(0.191298\pi\) |
−0.959148 | + | 0.282905i | \(0.908702\pi\) | |||||||
\(548\) | −2.73350 | + | 22.4666i | −0.116769 | + | 0.959727i | ||||
\(549\) | 6.86369i | 0.292935i | ||||||||
\(550\) | 7.94961 | − | 37.7048i | 0.338973 | − | 1.60774i | ||||
\(551\) | 3.22393i | 0.137344i | ||||||||
\(552\) | 0.141290 | − | 0.157439i | 0.00601369 | − | 0.00670106i | ||||
\(553\) | 4.86673 | − | 30.7273i | 0.206954 | − | 1.30666i | ||||
\(554\) | 14.8942 | − | 0.268164i | 0.632793 | − | 0.0113932i | ||||
\(555\) | −17.1737 | − | 3.32848i | −0.728985 | − | 0.141286i | ||||
\(556\) | 29.2046 | + | 8.33956i | 1.23855 | + | 0.353676i | ||||
\(557\) | −2.56325 | − | 2.56325i | −0.108608 | − | 0.108608i | 0.650714 | − | 0.759323i | \(-0.274470\pi\) |
−0.759323 | + | 0.650714i | \(0.774470\pi\) | |||||||
\(558\) | 0.826389 | + | 0.402495i | 0.0349838 | + | 0.0170390i | ||||
\(559\) | −5.83318 | + | 17.9527i | −0.246717 | + | 0.759317i | ||||
\(560\) | −17.5712 | − | 22.3633i | −0.742520 | − | 0.945023i | ||||
\(561\) | −10.8999 | − | 33.5465i | −0.460195 | − | 1.41634i | ||||
\(562\) | 2.75196 | − | 19.6596i | 0.116085 | − | 0.829290i | ||||
\(563\) | −15.8692 | + | 8.08577i | −0.668808 | + | 0.340775i | −0.755207 | − | 0.655486i | \(-0.772464\pi\) |
0.0863997 | + | 0.996261i | \(0.472464\pi\) | |||||||
\(564\) | −6.68849 | − | 8.54151i | −0.281636 | − | 0.359662i | ||||
\(565\) | −1.07864 | + | 31.3808i | −0.0453786 | + | 1.32020i | ||||
\(566\) | 0.957707 | − | 0.722510i | 0.0402554 | − | 0.0303693i | ||||
\(567\) | −3.14060 | + | 0.497423i | −0.131893 | + | 0.0208898i | ||||
\(568\) | 3.86452 | + | 6.66815i | 0.162152 | + | 0.279789i | ||||
\(569\) | 7.18354 | − | 9.88730i | 0.301150 | − | 0.414497i | −0.631446 | − | 0.775420i | \(-0.717538\pi\) |
0.932596 | + | 0.360923i | \(0.117538\pi\) | |||||||
\(570\) | 4.70156 | − | 4.55022i | 0.196927 | − | 0.190588i | ||||
\(571\) | −15.9439 | − | 21.9448i | −0.667230 | − | 0.918363i | 0.332464 | − | 0.943116i | \(-0.392120\pi\) |
−0.999694 | + | 0.0247529i | \(0.992120\pi\) | |||||||
\(572\) | −16.6037 | + | 3.24636i | −0.694234 | + | 0.135737i | ||||
\(573\) | 7.97039 | + | 4.06112i | 0.332968 | + | 0.169656i | ||||
\(574\) | −2.03347 | + | 2.90749i | −0.0848753 | + | 0.121356i | ||||
\(575\) | −0.372498 | + | 0.0330005i | −0.0155342 | + | 0.00137622i | ||||
\(576\) | 6.94135 | + | 3.97714i | 0.289223 | + | 0.165714i | ||||
\(577\) | 2.08336 | − | 4.08883i | 0.0867315 | − | 0.170220i | −0.843567 | − | 0.537025i | \(-0.819548\pi\) |
0.930298 | + | 0.366805i | \(0.119548\pi\) | |||||||
\(578\) | 25.3399 | + | 24.4436i | 1.05400 | + | 1.01672i | ||||
\(579\) | 20.1700 | − | 14.6544i | 0.838239 | − | 0.609016i | ||||
\(580\) | 6.21408 | + | 3.15336i | 0.258026 | + | 0.130936i | ||||
\(581\) | −14.7256 | − | 10.6988i | −0.610920 | − | 0.443859i | ||||
\(582\) | 0.541552 | + | 3.06146i | 0.0224480 | + | 0.126901i | ||||
\(583\) | −8.08173 | − | 51.0260i | −0.334711 | − | 2.11328i | ||||
\(584\) | −6.27995 | − | 4.06355i | −0.259866 | − | 0.168151i | ||||
\(585\) | 1.18535 | − | 3.26228i | 0.0490082 | − | 0.134879i | ||||
\(586\) | 34.1635 | + | 10.4243i | 1.41128 | + | 0.430624i | ||||
\(587\) | −17.2515 | − | 33.8579i | −0.712044 | − | 1.39746i | −0.908893 | − | 0.417030i | \(-0.863071\pi\) |
0.196849 | − | 0.980434i | \(-0.436929\pi\) | |||||||
\(588\) | −4.55488 | − | 4.23815i | −0.187840 | − | 0.174778i | ||||
\(589\) | −1.27899 | + | 0.415569i | −0.0526999 | + | 0.0171232i | ||||
\(590\) | −22.2882 | − | 7.64712i | −0.917593 | − | 0.314827i | ||||
\(591\) | 21.1185 | + | 6.86180i | 0.868697 | + | 0.282257i | ||||
\(592\) | 23.6622 | + | 20.4781i | 0.972510 | + | 0.841645i | ||||
\(593\) | 17.3285 | − | 17.3285i | 0.711597 | − | 0.711597i | −0.255272 | − | 0.966869i | \(-0.582165\pi\) |
0.966869 | + | 0.255272i | \(0.0821651\pi\) | |||||||
\(594\) | 2.51307 | + | 7.28549i | 0.103113 | + | 0.298927i | ||||
\(595\) | 19.4725 | + | 41.6992i | 0.798294 | + | 1.70950i | ||||
\(596\) | 26.1421 | + | 17.5913i | 1.07082 | + | 0.720567i | ||||
\(597\) | −13.1149 | − | 2.07720i | −0.536758 | − | 0.0850142i | ||||
\(598\) | 0.0771593 | + | 0.144923i | 0.00315528 | + | 0.00592636i | ||||
\(599\) | −10.4401 | −0.426571 | −0.213286 | − | 0.976990i | \(-0.568417\pi\) | ||||
−0.213286 | + | 0.976990i | \(0.568417\pi\) | |||||||
\(600\) | −4.17185 | − | 13.5128i | −0.170315 | − | 0.551658i | ||||
\(601\) | −39.5374 | −1.61276 | −0.806382 | − | 0.591395i | \(-0.798578\pi\) | ||||
−0.806382 | + | 0.591395i | \(0.798578\pi\) | |||||||
\(602\) | 25.6995 | + | 48.2697i | 1.04743 | + | 1.96733i | ||||
\(603\) | −1.91967 | − | 0.304046i | −0.0781749 | − | 0.0123817i | ||||
\(604\) | −6.63106 | − | 4.46211i | −0.269814 | − | 0.181561i | ||||
\(605\) | −41.4933 | + | 5.11780i | −1.68694 | + | 0.208068i | ||||
\(606\) | 7.26014 | + | 21.0474i | 0.294923 | + | 0.854993i | ||||
\(607\) | −2.10515 | + | 2.10515i | −0.0854455 | + | 0.0854455i | −0.748538 | − | 0.663092i | \(-0.769244\pi\) |
0.663092 | + | 0.748538i | \(0.269244\pi\) | |||||||
\(608\) | −11.3488 | + | 2.86270i | −0.460253 | + | 0.116098i | ||||
\(609\) | 4.71213 | + | 1.53106i | 0.190945 | + | 0.0620418i | ||||
\(610\) | −20.7495 | + | 6.36866i | −0.840124 | + | 0.257860i | ||||
\(611\) | 8.00786 | − | 2.60191i | 0.323963 | − | 0.105262i | ||||
\(612\) | −9.47735 | − | 8.81833i | −0.383099 | − | 0.356460i | ||||
\(613\) | −8.36070 | − | 16.4088i | −0.337686 | − | 0.662745i | 0.658251 | − | 0.752798i | \(-0.271296\pi\) |
−0.995937 | + | 0.0900529i | \(0.971296\pi\) | |||||||
\(614\) | −19.8712 | − | 6.06331i | −0.801938 | − | 0.244695i | ||||
\(615\) | −1.46210 | + | 0.987365i | −0.0589576 | + | 0.0398144i | ||||
\(616\) | −26.6256 | + | 41.1481i | −1.07277 | + | 1.65790i | ||||
\(617\) | 0.527802 | + | 3.33241i | 0.0212485 | + | 0.134158i | 0.996032 | − | 0.0889944i | \(-0.0283653\pi\) |
−0.974784 | + | 0.223152i | \(0.928365\pi\) | |||||||
\(618\) | −1.77861 | − | 10.0547i | −0.0715461 | − | 0.404459i | ||||
\(619\) | 2.13354 | + | 1.55011i | 0.0857543 | + | 0.0623042i | 0.629836 | − | 0.776728i | \(-0.283122\pi\) |
−0.544082 | + | 0.839032i | \(0.683122\pi\) | |||||||
\(620\) | −0.449989 | + | 2.87171i | −0.0180720 | + | 0.115331i | ||||
\(621\) | 0.0605074 | − | 0.0439612i | 0.00242808 | − | 0.00176410i | ||||
\(622\) | 3.53368 | + | 3.40869i | 0.141688 | + | 0.136676i | ||||
\(623\) | 26.5607 | − | 52.1283i | 1.06413 | − | 2.08848i | ||||
\(624\) | −4.74762 | + | 4.00154i | −0.190057 | + | 0.160190i | ||||
\(625\) | −10.9100 | + | 22.4938i | −0.436401 | + | 0.899752i | ||||
\(626\) | 2.86404 | − | 4.09506i | 0.114470 | − | 0.163671i | ||||
\(627\) | −10.0463 | − | 5.11883i | −0.401210 | − | 0.204427i | ||||
\(628\) | −22.2893 | + | 4.35803i | −0.889441 | + | 0.173904i | ||||
\(629\) | −29.7640 | − | 40.9666i | −1.18677 | − | 1.63345i | ||||
\(630\) | −4.41785 | − | 9.03277i | −0.176011 | − | 0.359874i | ||||
\(631\) | 10.3612 | − | 14.2610i | 0.412473 | − | 0.567721i | −0.551346 | − | 0.834277i | \(-0.685886\pi\) |
0.963820 | + | 0.266556i | \(0.0858856\pi\) | |||||||
\(632\) | −23.9427 | + | 13.8760i | −0.952389 | + | 0.551957i | ||||
\(633\) | 3.18349 | − | 0.504216i | 0.126533 | − | 0.0200408i | ||||
\(634\) | −33.7679 | + | 25.4751i | −1.34110 | + | 1.01174i | ||||
\(635\) | −18.2362 | − | 27.0043i | −0.723681 | − | 1.07163i | ||||
\(636\) | −11.6895 | − | 14.9281i | −0.463521 | − | 0.591938i | ||||
\(637\) | 4.30250 | − | 2.19223i | 0.170471 | − | 0.0868594i | ||||
\(638\) | 1.66473 | − | 11.8925i | 0.0659072 | − | 0.470830i | ||||
\(639\) | 0.842027 | + | 2.59149i | 0.0333101 | + | 0.102518i | ||||
\(640\) | −5.58251 | + | 24.6746i | −0.220668 | + | 0.975349i | ||||
\(641\) | −0.825383 | + | 2.54027i | −0.0326007 | + | 0.100335i | −0.966033 | − | 0.258419i | \(-0.916798\pi\) |
0.933432 | + | 0.358754i | \(0.116798\pi\) | |||||||
\(642\) | 24.2722 | + | 11.8219i | 0.957949 | + | 0.466572i | ||||
\(643\) | 27.1171 | + | 27.1171i | 1.06939 | + | 1.06939i | 0.997405 | + | 0.0719883i | \(0.0229344\pi\) |
0.0719883 | + | 0.997405i | \(0.477066\pi\) | |||||||
\(644\) | 0.457354 | + | 0.130601i | 0.0180223 | + | 0.00514638i | ||||
\(645\) | 3.32867 | + | 26.9876i | 0.131066 | + | 1.06264i | ||||
\(646\) | 18.9364 | − | 0.340943i | 0.745043 | − | 0.0134142i | ||||
\(647\) | 4.46668 | − | 28.2015i | 0.175603 | − | 1.10872i | −0.729643 | − | 0.683829i | \(-0.760314\pi\) |
0.905246 | − | 0.424888i | \(-0.139686\pi\) | |||||||
\(648\) | 2.10505 | + | 1.88912i | 0.0826941 | + | 0.0742117i | ||||
\(649\) | 40.6067i | 1.59395i | ||||||||
\(650\) | 10.9620 | + | 0.556418i | 0.429966 | + | 0.0218245i | ||||
\(651\) | 2.06674i | 0.0810020i | ||||||||
\(652\) | −1.78229 | + | 14.6486i | −0.0697999 | + | 0.573685i | ||||
\(653\) | 4.03203 | − | 25.4573i | 0.157786 | − | 0.996219i | −0.773993 | − | 0.633194i | \(-0.781744\pi\) |
0.931779 | − | 0.363026i | \(-0.118256\pi\) | |||||||
\(654\) | 0.412399 | + | 22.9052i | 0.0161261 | + | 0.895664i | ||||
\(655\) | 13.0918 | − | 6.11352i | 0.511537 | − | 0.238875i | ||||
\(656\) | 3.14783 | − | 0.227070i | 0.122902 | − | 0.00886560i | ||||
\(657\) | −1.87000 | − | 1.87000i | −0.0729555 | − | 0.0729555i | ||||
\(658\) | 10.6809 | − | 21.9296i | 0.416383 | − | 0.854904i | ||||
\(659\) | 4.53553 | − | 13.9589i | 0.176679 | − | 0.543763i | −0.823027 | − | 0.568002i | \(-0.807716\pi\) |
0.999706 | + | 0.0242396i | \(0.00771645\pi\) | |||||||
\(660\) | −19.6928 | + | 14.3573i | −0.766543 | + | 0.558856i | ||||
\(661\) | 4.78767 | + | 14.7349i | 0.186219 | + | 0.573123i | 0.999967 | − | 0.00809448i | \(-0.00257658\pi\) |
−0.813748 | + | 0.581217i | \(0.802577\pi\) | |||||||
\(662\) | −23.6206 | − | 3.30643i | −0.918042 | − | 0.128508i | ||||
\(663\) | 8.95221 | − | 4.56138i | 0.347675 | − | 0.177149i | ||||
\(664\) | 0.874004 | + | 16.1671i | 0.0339179 | + | 0.627406i | ||||
\(665\) | 13.8267 | + | 5.02394i | 0.536177 | + | 0.194820i | ||||
\(666\) | 6.66318 | + | 8.83224i | 0.258193 | + | 0.342242i | ||||
\(667\) | −0.115104 | + | 0.0182306i | −0.00445683 | + | 0.000705892i | ||||
\(668\) | 14.9882 | − | 32.2347i | 0.579910 | − | 1.24720i | ||||
\(669\) | −5.74137 | + | 7.90232i | −0.221974 | + | 0.305521i | ||||
\(670\) | −0.862061 | − | 6.08544i | −0.0333043 | − | 0.235101i | ||||
\(671\) | 21.9853 | + | 30.2602i | 0.848733 | + | 1.16818i | ||||
\(672\) | −1.20544 | + | 17.9470i | −0.0465010 | + | 0.692319i | ||||
\(673\) | −28.5722 | − | 14.5583i | −1.10138 | − | 0.561181i | −0.193791 | − | 0.981043i | \(-0.562078\pi\) |
−0.907588 | + | 0.419862i | \(0.862078\pi\) | |||||||
\(674\) | −15.1956 | − | 10.6276i | −0.585312 | − | 0.409361i | ||||
\(675\) | −0.441234 | − | 4.98049i | −0.0169831 | − | 0.191699i | ||||
\(676\) | 7.26619 | + | 19.8956i | 0.279469 | + | 0.765217i | ||||
\(677\) | 2.52536 | − | 4.95630i | 0.0970574 | − | 0.190486i | −0.837373 | − | 0.546632i | \(-0.815910\pi\) |
0.934430 | + | 0.356146i | \(0.115910\pi\) | |||||||
\(678\) | 13.7872 | − | 14.2927i | 0.529493 | − | 0.548909i | ||||
\(679\) | −5.65529 | + | 4.10881i | −0.217030 | + | 0.157681i | ||||
\(680\) | 17.8647 | − | 36.8332i | 0.685081 | − | 1.41249i | ||||
\(681\) | 0.576740 | + | 0.419026i | 0.0221007 | + | 0.0160571i | ||||
\(682\) | 4.93257 | − | 0.872540i | 0.188878 | − | 0.0334113i | ||||
\(683\) | −4.24480 | − | 26.8006i | −0.162423 | − | 1.02550i | −0.925378 | − | 0.379046i | \(-0.876252\pi\) |
0.762955 | − | 0.646451i | \(-0.223748\pi\) | |||||||
\(684\) | −4.13539 | + | 0.148961i | −0.158121 | + | 0.00569565i | ||||
\(685\) | −25.2888 | − | 0.869237i | −0.966234 | − | 0.0332118i | ||||
\(686\) | −5.10411 | + | 16.7277i | −0.194876 | + | 0.638665i | ||||
\(687\) | 10.1061 | + | 19.8344i | 0.385573 | + | 0.756730i | ||||
\(688\) | 18.9078 | − | 44.8176i | 0.720853 | − | 1.70865i | ||||
\(689\) | 13.9954 | − | 4.54739i | 0.533184 | − | 0.173242i | ||||
\(690\) | 0.189042 | + | 0.142129i | 0.00719671 | + | 0.00541074i | ||||
\(691\) | 10.1763 | + | 3.30648i | 0.387125 | + | 0.125785i | 0.496112 | − | 0.868259i | \(-0.334761\pi\) |
−0.108987 | + | 0.994043i | \(0.534761\pi\) | |||||||
\(692\) | −9.45725 | + | 5.25583i | −0.359511 | + | 0.199797i | ||||
\(693\) | −12.2528 | + | 12.2528i | −0.465444 | + | 0.465444i | ||||
\(694\) | −49.2760 | + | 16.9974i | −1.87049 | + | 0.645211i | ||||
\(695\) | −6.46102 | + | 33.3365i | −0.245080 | + | 1.26453i | ||||
\(696\) | −1.58618 | − | 4.11186i | −0.0601239 | − | 0.155860i | ||||
\(697\) | −5.04410 | − | 0.798907i | −0.191059 | − | 0.0302608i | ||||
\(698\) | −20.2914 | + | 10.8034i | −0.768039 | + | 0.408915i | ||||
\(699\) | −3.88152 | −0.146813 | ||||||||
\(700\) | 23.2076 | − | 21.7368i | 0.877165 | − | 0.821575i | ||||
\(701\) | 1.06849 | 0.0403564 | 0.0201782 | − | 0.999796i | \(-0.493577\pi\) | ||||
0.0201782 | + | 0.999796i | \(0.493577\pi\) | |||||||
\(702\) | −1.93770 | + | 1.03166i | −0.0731339 | + | 0.0389375i | ||||
\(703\) | −15.9873 | − | 2.53214i | −0.602973 | − | 0.0955015i | ||||
\(704\) | 43.3419 | − | 4.69991i | 1.63351 | − | 0.177134i | ||||
\(705\) | 8.86618 | − | 8.27692i | 0.333919 | − | 0.311727i | ||||
\(706\) | 3.86461 | − | 1.33307i | 0.145446 | − | 0.0501706i | ||||
\(707\) | −35.3976 | + | 35.3976i | −1.33126 | + | 1.33126i | ||||
\(708\) | 7.23941 | + | 13.0265i | 0.272074 | + | 0.489564i | ||||
\(709\) | 29.4261 | + | 9.56113i | 1.10512 | + | 0.359076i | 0.804071 | − | 0.594533i | \(-0.202663\pi\) |
0.301050 | + | 0.953608i | \(0.402663\pi\) | |||||||
\(710\) | −7.05300 | + | 4.95011i | −0.264694 | + | 0.185774i | ||||
\(711\) | −9.30503 | + | 3.02339i | −0.348966 | + | 0.113386i | ||||
\(712\) | −50.8858 | + | 10.9038i | −1.90702 | + | 0.408637i | ||||
\(713\) | −0.0220694 | − | 0.0433137i | −0.000826506 | − | 0.00162211i | ||||
\(714\) | 8.49469 | − | 27.8396i | 0.317906 | − | 1.04187i | ||||
\(715\) | −5.22363 | − | 18.1794i | −0.195353 | − | 0.679870i | ||||
\(716\) | −1.06683 | − | 29.6170i | −0.0398693 | − | 1.10684i | ||||
\(717\) | −3.85453 | − | 24.3366i | −0.143950 | − | 0.908865i | ||||
\(718\) | −3.88748 | + | 0.687671i | −0.145080 | + | 0.0256636i | ||||
\(719\) | −1.95804 | − | 1.42260i | −0.0730227 | − | 0.0530541i | 0.550675 | − | 0.834720i | \(-0.314370\pi\) |
−0.623698 | + | 0.781666i | \(0.714370\pi\) | |||||||
\(720\) | −3.75775 | + | 8.11661i | −0.140043 | + | 0.302488i | ||||
\(721\) | 18.5736 | − | 13.4945i | 0.691715 | − | 0.502561i | ||||
\(722\) | −14.4517 | + | 14.9817i | −0.537838 | + | 0.557560i | ||||
\(723\) | 5.17703 | − | 10.1605i | 0.192536 | − | 0.377873i | ||||
\(724\) | −3.31714 | + | 1.21147i | −0.123281 | + | 0.0450239i | ||||
\(725\) | −2.91061 | + | 7.22679i | −0.108097 | + | 0.268396i | ||||
\(726\) | 21.6680 | + | 15.1543i | 0.804173 | + | 0.562430i | ||||
\(727\) | 14.1359 | + | 7.20259i | 0.524271 | + | 0.267129i | 0.696034 | − | 0.718009i | \(-0.254946\pi\) |
−0.171763 | + | 0.985138i | \(0.554946\pi\) | |||||||
\(728\) | −12.7629 | − | 5.65724i | −0.473026 | − | 0.209671i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 3.91803 | − | 7.38829i | 0.145013 | − | 0.273453i | ||||
\(731\) | −46.2660 | + | 63.6797i | −1.71121 | + | 2.35528i | ||||
\(732\) | 12.4476 | + | 5.78777i | 0.460077 | + | 0.213922i | ||||
\(733\) | 32.7760 | − | 5.19121i | 1.21061 | − | 0.191742i | 0.481691 | − | 0.876341i | \(-0.340023\pi\) |
0.728920 | + | 0.684599i | \(0.240023\pi\) | |||||||
\(734\) | 2.28047 | + | 3.02282i | 0.0841735 | + | 0.111574i | ||||
\(735\) | 4.27955 | − | 5.48376i | 0.157853 | − | 0.202271i | ||||
\(736\) | −0.166381 | − | 0.388995i | −0.00613289 | − | 0.0143385i | ||||
\(737\) | −9.43720 | + | 4.80849i | −0.347624 | + | 0.177123i | ||||
\(738\) | 1.10505 | + | 0.154685i | 0.0406773 | + | 0.00569403i | ||||
\(739\) | −1.66137 | − | 5.11317i | −0.0611145 | − | 0.188091i | 0.915838 | − | 0.401548i | \(-0.131528\pi\) |
−0.976952 | + | 0.213457i | \(0.931528\pi\) | |||||||
\(740\) | −20.5180 | + | 28.3386i | −0.754257 | + | 1.04175i | ||||
\(741\) | 0.992464 | − | 3.05449i | 0.0364591 | − | 0.112210i | ||||
\(742\) | 18.6671 | − | 38.3266i | 0.685290 | − | 1.40701i | ||||
\(743\) | 6.86786 | + | 6.86786i | 0.251957 | + | 0.251957i | 0.821773 | − | 0.569815i | \(-0.192985\pi\) |
−0.569815 | + | 0.821773i | \(0.692985\pi\) | |||||||
\(744\) | 1.42679 | − | 1.15929i | 0.0523086 | − | 0.0425016i | ||||
\(745\) | −17.0624 | + | 30.8212i | −0.625119 | + | 1.12920i | ||||
\(746\) | −0.751756 | − | 41.7535i | −0.0275237 | − | 1.52870i | ||||
\(747\) | −0.895475 | + | 5.65381i | −0.0327637 | + | 0.206862i | ||||
\(748\) | −70.0294 | − | 8.52043i | −2.56053 | − | 0.311538i | ||||
\(749\) | 60.7032i | 2.21805i | ||||||||
\(750\) | 14.6470 | − | 5.95518i | 0.534834 | − | 0.217452i | ||||
\(751\) | 41.5143i | 1.51488i | 0.652906 | + | 0.757439i | \(0.273550\pi\) | ||||
−0.652906 | + | 0.757439i | \(0.726450\pi\) | |||||||
\(752\) | −21.1304 | + | 4.92728i | −0.770547 | + | 0.179679i | ||||
\(753\) | −0.562048 | + | 3.54863i | −0.0204822 | + | 0.129319i | ||||
\(754\) | 3.42000 | − | 0.0615758i | 0.124549 | − | 0.00224246i | ||||
\(755\) | 4.32797 | − | 7.81796i | 0.157511 | − | 0.284525i | ||||
\(756\) | −1.74620 | + | 6.11507i | −0.0635086 | + | 0.222403i | ||||
\(757\) | 23.8819 | + | 23.8819i | 0.868001 | + | 0.868001i | 0.992251 | − | 0.124250i | \(-0.0396524\pi\) |
−0.124250 | + | 0.992251i | \(0.539652\pi\) | |||||||
\(758\) | −15.0329 | − | 7.32184i | −0.546021 | − | 0.265941i | ||||
\(759\) | 0.125948 | − | 0.387627i | 0.00457161 | − | 0.0140700i | ||||
\(760\) | −4.28746 | − | 12.3634i | −0.155522 | − | 0.448468i | ||||
\(761\) | 4.73054 | + | 14.5591i | 0.171482 | + | 0.527767i | 0.999455 | − | 0.0330004i | \(-0.0105063\pi\) |
−0.827974 | + | 0.560767i | \(0.810506\pi\) | |||||||
\(762\) | −2.85696 | + | 20.4097i | −0.103497 | + | 0.739364i | ||||
\(763\) | −45.8948 | + | 23.3846i | −1.66150 | + | 0.846578i | ||||
\(764\) | 14.0860 | − | 11.0301i | 0.509613 | − | 0.399056i | ||||
\(765\) | 8.90446 | − | 11.4101i | 0.321941 | − | 0.412532i | ||||
\(766\) | 26.0769 | − | 19.6729i | 0.942198 | − | 0.710809i | ||||
\(767\) | −11.4242 | + | 1.80942i | −0.412505 | + | 0.0653343i | ||||
\(768\) | 13.0660 | − | 9.23474i | 0.471478 | − | 0.333230i | ||||
\(769\) | 11.0364 | − | 15.1903i | 0.397983 | − | 0.547777i | −0.562253 | − | 0.826965i | \(-0.690065\pi\) |
0.960236 | + | 0.279188i | \(0.0900654\pi\) | |||||||
\(770\) | −48.4102 | − | 25.6721i | −1.74458 | − | 0.925158i | ||||
\(771\) | −6.12683 | − | 8.43286i | −0.220653 | − | 0.303702i | ||||
\(772\) | −9.56810 | − | 48.9365i | −0.344364 | − | 1.76126i | ||||
\(773\) | −11.9014 | − | 6.06406i | −0.428063 | − | 0.218109i | 0.226666 | − | 0.973973i | \(-0.427217\pi\) |
−0.654729 | + | 0.755863i | \(0.727217\pi\) | |||||||
\(774\) | 9.85652 | − | 14.0930i | 0.354285 | − | 0.506564i | ||||
\(775\) | −3.24218 | − | 0.223147i | −0.116462 | − | 0.00801567i | ||||
\(776\) | 6.00874 | + | 1.59943i | 0.215701 | + | 0.0574161i | ||||
\(777\) | −11.2935 | + | 22.1647i | −0.405151 | + | 0.795153i | ||||
\(778\) | 3.31198 | + | 3.19482i | 0.118740 | + | 0.114540i | ||||
\(779\) | −1.32070 | + | 0.959545i | −0.0473190 | + | 0.0343793i | ||||
\(780\) | −4.91675 | − | 4.90059i | −0.176048 | − | 0.175469i | ||||
\(781\) | 12.0132 | + | 8.72807i | 0.429865 | + | 0.312315i | ||||
\(782\) | 0.119254 | + | 0.674156i | 0.00426451 | + | 0.0241078i | ||||
\(783\) | −0.243753 | − | 1.53900i | −0.00871102 | − | 0.0549992i | ||||
\(784\) | −11.5269 | + | 4.68668i | −0.411677 | + | 0.167381i | ||||
\(785\) | −7.01237 | − | 24.4046i | −0.250282 | − | 0.871038i | ||||
\(786\) | −8.74042 | − | 2.66697i | −0.311761 | − | 0.0951275i | ||||
\(787\) | −20.3005 | − | 39.8419i | −0.723633 | − | 1.42021i | −0.900002 | − | 0.435886i | \(-0.856435\pi\) |
0.176368 | − | 0.984324i | \(-0.443565\pi\) | |||||||
\(788\) | 30.2522 | − | 32.5130i | 1.07769 | − | 1.15823i | ||||
\(789\) | −6.08663 | + | 1.97767i | −0.216690 | + | 0.0704068i | ||||
\(790\) | −17.7739 | − | 25.3246i | −0.632366 | − | 0.901007i | ||||
\(791\) | 42.4654 | + | 13.7979i | 1.50990 | + | 0.490595i | ||||
\(792\) | 15.3317 | + | 1.58588i | 0.544788 | + | 0.0563519i | ||||
\(793\) | −7.53368 | + | 7.53368i | −0.267529 | + | 0.267529i | ||||
\(794\) | −6.45713 | − | 18.7195i | −0.229155 | − | 0.664329i | ||||
\(795\) | 15.4955 | − | 14.4657i | 0.549570 | − | 0.513045i | ||||
\(796\) | −14.8262 | + | 22.0329i | −0.525500 | + | 0.780936i | ||||
\(797\) | 13.1508 | + | 2.08288i | 0.465825 | + | 0.0737794i | 0.384935 | − | 0.922944i | \(-0.374224\pi\) |
0.0808896 | + | 0.996723i | \(0.474224\pi\) | |||||||
\(798\) | −4.37254 | − | 8.21267i | −0.154786 | − | 0.290725i | ||||
\(799\) | 35.1100 | 1.24210 | ||||||||
\(800\) | −28.0239 | − | 3.82876i | −0.990795 | − | 0.135367i | ||||
\(801\) | −18.3992 | −0.650105 | ||||||||
\(802\) | −14.4155 | − | 27.0758i | −0.509030 | − | 0.956079i | ||||
\(803\) | −14.2342 | − | 2.25447i | −0.502313 | − | 0.0795585i | ||||
\(804\) | −2.17015 | + | 3.22502i | −0.0765353 | + | 0.113738i | ||||
\(805\) | −0.101182 | + | 0.522062i | −0.00356619 | + | 0.0184003i | ||||
\(806\) | 0.465272 | + | 1.34884i | 0.0163885 | + | 0.0475108i | ||||
\(807\) | 11.0805 | − | 11.0805i | 0.390053 | − | 0.390053i | ||||
\(808\) | 44.2925 | + | 4.58153i | 1.55820 | + | 0.161178i | ||||
\(809\) | 43.9578 | + | 14.2827i | 1.54547 | + | 0.502155i | 0.952880 | − | 0.303348i | \(-0.0981044\pi\) |
0.592593 | + | 0.805502i | \(0.298104\pi\) | |||||||
\(810\) | −1.90033 | + | 2.52759i | −0.0667709 | + | 0.0888106i | ||||
\(811\) | −43.9841 | + | 14.2913i | −1.54449 | + | 0.501836i | −0.952611 | − | 0.304190i | \(-0.901614\pi\) |
−0.591880 | + | 0.806026i | \(0.701614\pi\) | |||||||
\(812\) | 6.75013 | − | 7.25459i | 0.236883 | − | 0.254586i | ||||
\(813\) | 1.50949 | + | 2.96255i | 0.0529402 | + | 0.103901i | ||||
\(814\) | 57.6670 | + | 17.5959i | 2.02123 | + | 0.616737i | ||||
\(815\) | −16.4887 | − | 0.566757i | −0.577574 | − | 0.0198526i | ||||
\(816\) | −23.9841 | + | 9.75159i | −0.839613 | + | 0.341374i | ||||
\(817\) | 3.93604 | + | 24.8511i | 0.137704 | + | 0.869432i | ||||
\(818\) | 1.82155 | + | 10.2974i | 0.0636890 | + | 0.360041i | ||||
\(819\) | −3.99315 | − | 2.90119i | −0.139532 | − | 0.101376i | ||||
\(820\) | 0.557721 | + | 3.48417i | 0.0194765 | + | 0.121673i | ||||
\(821\) | 1.07679 | − | 0.782333i | 0.0375802 | − | 0.0273036i | −0.568837 | − | 0.822451i | \(-0.692606\pi\) |
0.606417 | + | 0.795147i | \(0.292606\pi\) | |||||||
\(822\) | 11.5180 | + | 11.1106i | 0.401738 | + | 0.387527i | ||||
\(823\) | 8.42826 | − | 16.5414i | 0.293791 | − | 0.576597i | −0.696180 | − | 0.717867i | \(-0.745119\pi\) |
0.989971 | + | 0.141270i | \(0.0451186\pi\) | |||||||
\(824\) | −19.7344 | − | 5.25297i | −0.687480 | − | 0.182996i | ||||
\(825\) | −17.8985 | − | 20.5443i | −0.623144 | − | 0.715262i | ||||
\(826\) | −19.2044 | + | 27.4588i | −0.668206 | + | 0.955414i | ||||
\(827\) | 24.3107 | + | 12.3869i | 0.845367 | + | 0.430736i | 0.822338 | − | 0.568999i | \(-0.192669\pi\) |
0.0230286 | + | 0.999735i | \(0.492669\pi\) | |||||||
\(828\) | −0.0287030 | − | 0.146803i | −0.000997499 | − | 0.00510175i | ||||
\(829\) | 21.4172 | + | 29.4782i | 0.743849 | + | 1.02382i | 0.998388 | + | 0.0567576i | \(0.0180762\pi\) |
−0.254539 | + | 0.967062i | \(0.581924\pi\) | |||||||
\(830\) | −17.9228 | + | 2.53894i | −0.622111 | + | 0.0881280i | ||||
\(831\) | 6.19143 | − | 8.52177i | 0.214778 | − | 0.295617i | ||||
\(832\) | 3.25356 | + | 11.9843i | 0.112797 | + | 0.415480i | ||||
\(833\) | 19.8875 | − | 3.14987i | 0.689061 | − | 0.109137i | ||||
\(834\) | 17.1446 | − | 12.9341i | 0.593668 | − | 0.447872i | ||||
\(835\) | 37.3553 | + | 13.5731i | 1.29273 | + | 0.469715i | ||||
\(836\) | −17.7547 | + | 13.9029i | −0.614059 | + | 0.480843i | ||||
\(837\) | 0.579127 | − | 0.295080i | 0.0200176 | − | 0.0101995i | ||||
\(838\) | −4.47028 | + | 31.9350i | −0.154423 | + | 1.10317i | ||||
\(839\) | −4.02938 | − | 12.4012i | −0.139110 | − | 0.428135i | 0.857097 | − | 0.515155i | \(-0.172266\pi\) |
−0.996207 | + | 0.0870197i | \(0.972266\pi\) | |||||||
\(840\) | −20.1066 | + | 0.395128i | −0.693745 | + | 0.0136332i | ||||
\(841\) | 8.21122 | − | 25.2715i | 0.283146 | − | 0.871433i | ||||
\(842\) | 11.9220 | + | 5.80663i | 0.410859 | + | 0.200110i | ||||
\(843\) | −9.92564 | − | 9.92564i | −0.341857 | − | 0.341857i | ||||
\(844\) | 1.77005 | − | 6.19858i | 0.0609275 | − | 0.213364i | ||||
\(845\) | −21.4568 | + | 10.0198i | −0.738138 | + | 0.344692i | ||||
\(846\) | −7.66991 | + | 0.138094i | −0.263697 | + | 0.00474776i | ||||
\(847\) | −9.30030 | + | 58.7198i | −0.319562 | + | 2.01764i | ||||
\(848\) | −36.9299 | + | 8.61146i | −1.26818 | + | 0.295719i | ||||
\(849\) | − | 0.848299i | − | 0.0291136i | ||||||
\(850\) | 42.7558 | + | 16.3318i | 1.46651 | + | 0.560176i | ||||
\(851\) | − | 0.585111i | − | 0.0200574i | ||||||
\(852\) | 5.40982 | + | 0.658209i | 0.185337 | + | 0.0225499i | ||||
\(853\) | 6.73285 | − | 42.5095i | 0.230528 | − | 1.45550i | −0.552500 | − | 0.833513i | \(-0.686326\pi\) |
0.783028 | − | 0.621986i | \(-0.213674\pi\) | |||||||
\(854\) | 0.555622 | + | 30.8600i | 0.0190130 | + | 1.05601i | ||||
\(855\) | −0.566344 | − | 4.59171i | −0.0193686 | − | 0.157033i | ||||
\(856\) | 41.9069 | − | 34.0500i | 1.43235 | − | 1.16381i | ||||
\(857\) | −12.3955 | − | 12.3955i | −0.423424 | − | 0.423424i | 0.462957 | − | 0.886381i | \(-0.346788\pi\) |
−0.886381 | + | 0.462957i | \(0.846788\pi\) | |||||||
\(858\) | −5.23827 | + | 10.7550i | −0.178832 | + | 0.367171i | ||||
\(859\) | 12.9331 | − | 39.8041i | 0.441272 | − | 1.35810i | −0.445248 | − | 0.895407i | \(-0.646884\pi\) |
0.886520 | − | 0.462690i | \(-0.153116\pi\) | |||||||
\(860\) | 51.7501 | + | 16.7205i | 1.76466 | + | 0.570164i | ||||
\(861\) | 0.775273 | + | 2.38604i | 0.0264212 | + | 0.0813161i | ||||
\(862\) | 5.77689 | + | 0.808653i | 0.196762 | + | 0.0275428i | ||||
\(863\) | 14.9758 | − | 7.63054i | 0.509781 | − | 0.259747i | −0.180127 | − | 0.983643i | \(-0.557651\pi\) |
0.689908 | + | 0.723897i | \(0.257651\pi\) | |||||||
\(864\) | 5.20107 | − | 2.22460i | 0.176944 | − | 0.0756826i | ||||
\(865\) | −6.76986 | − | 10.0249i | −0.230182 | − | 0.340856i | ||||
\(866\) | −5.89001 | − | 7.80738i | −0.200151 | − | 0.265306i | ||||
\(867\) | 24.5893 | − | 3.89456i | 0.835096 | − | 0.132266i | ||||
\(868\) | 3.74813 | + | 1.74277i | 0.127220 | + | 0.0591534i | ||||
\(869\) | −31.3391 | + | 43.1345i | −1.06311 | + | 1.46324i | ||||
\(870\) | 4.42634 | − | 2.16489i | 0.150067 | − | 0.0733965i | ||||
\(871\) | −1.77333 | − | 2.44078i | −0.0600870 | − | 0.0827026i | ||||
\(872\) | 41.8873 | + | 18.5668i | 1.41848 | + | 0.628750i | ||||
\(873\) | 1.95877 | + | 0.998046i | 0.0662945 | + | 0.0337787i | ||||
\(874\) | 0.179335 | + | 0.125425i | 0.00606611 | + | 0.00424257i | ||||
\(875\) | 26.4584 | + | 23.7446i | 0.894456 | + | 0.802715i | ||||
\(876\) | −4.96819 | + | 1.81446i | −0.167859 | + | 0.0613048i | ||||
\(877\) | 6.23910 | − | 12.2449i | 0.210679 | − | 0.413481i | −0.761350 | − | 0.648341i | \(-0.775463\pi\) |
0.972029 | + | 0.234860i | \(0.0754631\pi\) | |||||||
\(878\) | 9.29125 | − | 9.63196i | 0.313565 | − | 0.325063i | ||||
\(879\) | 20.4331 | − | 14.8456i | 0.689193 | − | 0.500728i | ||||
\(880\) | 9.43168 | + | 47.8205i | 0.317942 | + | 1.61203i | ||||
\(881\) | −10.4852 | − | 7.61795i | −0.353256 | − | 0.256655i | 0.396978 | − | 0.917828i | \(-0.370059\pi\) |
−0.750234 | + | 0.661173i | \(0.770059\pi\) | |||||||
\(882\) | −4.33211 | + | 0.766322i | −0.145870 | + | 0.0258034i | ||||
\(883\) | 6.36743 | + | 40.2024i | 0.214281 | + | 1.35292i | 0.826815 | + | 0.562474i | \(0.190150\pi\) |
−0.612534 | + | 0.790444i | \(0.709850\pi\) | |||||||
\(884\) | −0.723357 | − | 20.0816i | −0.0243291 | − | 0.675417i | ||||
\(885\) | −13.8083 | + | 9.32484i | −0.464162 | + | 0.313451i | ||||
\(886\) | 7.96515 | − | 26.1041i | 0.267594 | − | 0.876985i | ||||
\(887\) | 9.44895 | + | 18.5446i | 0.317265 | + | 0.622667i | 0.993476 | − | 0.114040i | \(-0.0363794\pi\) |
−0.676211 | + | 0.736708i | \(0.736379\pi\) | |||||||
\(888\) | 21.6363 | − | 4.63623i | 0.726068 | − | 0.155582i | ||||
\(889\) | −44.0691 | + | 14.3189i | −1.47803 | + | 0.480241i | ||||
\(890\) | −17.0722 | − | 55.6224i | −0.572263 | − | 1.86447i | ||||
\(891\) | 5.18278 | + | 1.68399i | 0.173630 | + | 0.0564157i | ||||
\(892\) | 9.48982 | + | 17.0758i | 0.317743 | + | 0.571741i | ||||
\(893\) | 7.93595 | − | 7.93595i | 0.265566 | − | 0.265566i | ||||
\(894\) | 21.0628 | − | 7.26546i | 0.704447 | − | 0.242993i | ||||
\(895\) | 32.8851 | − | 4.05606i | 1.09923 | − | 0.135579i | ||||
\(896\) | 31.5311 | + | 17.3198i | 1.05338 | + | 0.578614i | ||||
\(897\) | 0.114666 | + | 0.0181613i | 0.00382859 | + | 0.000606390i | ||||
\(898\) | 12.9770 | − | 6.90916i | 0.433049 | − | 0.230562i | ||||
\(899\) | −1.01277 | −0.0337777 | ||||||||
\(900\) | −9.40441 | − | 3.39958i | −0.313480 | − | 0.113319i | ||||
\(901\) | 61.3622 | 2.04427 | ||||||||
\(902\) | 5.36732 | − | 2.85764i | 0.178712 | − | 0.0951490i | ||||
\(903\) | 38.1919 | + | 6.04901i | 1.27095 | + | 0.201298i | ||||
\(904\) | −14.2945 | − | 37.0559i | −0.475429 | − | 1.23246i | ||||
\(905\) | −1.67057 | − | 3.57744i | −0.0555317 | − | 0.118918i | ||||
\(906\) | −5.34269 | + | 1.84292i | −0.177499 | + | 0.0612269i | ||||
\(907\) | 31.2772 | − | 31.2772i | 1.03854 | − | 1.03854i | 0.0393156 | − | 0.999227i | \(-0.487482\pi\) |
0.999227 | − | 0.0393156i | \(-0.0125178\pi\) | |||||||
\(908\) | 1.24625 | − | 0.692601i | 0.0413584 | − | 0.0229848i | ||||
\(909\) | 14.9728 | + | 4.86495i | 0.496616 | + | 0.161360i | ||||
\(910\) | 5.06540 | − | 14.7636i | 0.167916 | − | 0.489408i | ||||
\(911\) | −15.4616 | + | 5.02379i | −0.512267 | + | 0.166446i | −0.553733 | − | 0.832694i | \(-0.686797\pi\) |
0.0414660 | + | 0.999140i | \(0.486797\pi\) | |||||||
\(912\) | −3.21700 | + | 7.62532i | −0.106525 | + | 0.252500i | ||||
\(913\) | 14.1620 | + | 27.7945i | 0.468693 | + | 0.919862i | ||||
\(914\) | −11.4527 | + | 37.5339i | −0.378822 | + | 1.24151i | ||||
\(915\) | −5.24132 | + | 14.4250i | −0.173273 | + | 0.476875i | ||||
\(916\) | 44.4925 | − | 1.60266i | 1.47007 | − | 0.0529534i | ||||
\(917\) | −3.21421 | − | 20.2937i | −0.106142 | − | 0.670157i | ||||
\(918\) | −9.01383 | + | 1.59449i | −0.297501 | + | 0.0526260i | ||||
\(919\) | 31.0526 | + | 22.5610i | 1.02433 | + | 0.744219i | 0.967166 | − | 0.254146i | \(-0.0817943\pi\) |
0.0571637 | + | 0.998365i | \(0.481794\pi\) | |||||||
\(920\) | 0.417165 | − | 0.222987i | 0.0137535 | − | 0.00735166i | ||||
\(921\) | −11.8850 | + | 8.63494i | −0.391623 | + | 0.284531i | ||||
\(922\) | 5.05916 | − | 5.24467i | 0.166614 | − | 0.172724i | ||||
\(923\) | −1.92024 | + | 3.76868i | −0.0632053 | + | 0.124047i | ||||
\(924\) | 11.8889 | + | 32.5530i | 0.391114 | + | 1.07092i | ||||
\(925\) | −33.5512 | − | 20.1096i | −1.10316 | − | 0.661200i | ||||
\(926\) | 11.9144 | + | 8.33282i | 0.391532 | + | 0.273834i | ||||
\(927\) | −6.43317 | − | 3.27786i | −0.211293 | − | 0.107659i | ||||
\(928\) | −8.79458 | − | 0.590706i | −0.288696 | − | 0.0193909i | ||||
\(929\) | −7.27019 | − | 10.0066i | −0.238527 | − | 0.328305i | 0.672925 | − | 0.739711i | \(-0.265038\pi\) |
−0.911452 | + | 0.411406i | \(0.865038\pi\) | |||||||
\(930\) | 1.42941 | + | 1.47695i | 0.0468722 | + | 0.0484312i | ||||
\(931\) | 3.78322 | − | 5.20716i | 0.123990 | − | 0.170658i | ||||
\(932\) | −3.27307 | + | 7.03931i | −0.107213 | + | 0.230580i | ||||
\(933\) | 3.42901 | − | 0.543101i | 0.112261 | − | 0.0177803i | ||||
\(934\) | −20.2345 | − | 26.8214i | −0.662093 | − | 0.877624i | ||||
\(935\) | 2.70945 | − | 78.8261i | 0.0886083 | − | 2.57789i | ||||
\(936\) | 0.237004 | + | 4.38405i | 0.00774673 | + | 0.143297i | ||||
\(937\) | −11.7074 | + | 5.96523i | −0.382465 | + | 0.194876i | −0.634643 | − | 0.772805i | \(-0.718853\pi\) |
0.252178 | + | 0.967681i | \(0.418853\pi\) | |||||||
\(938\) | −8.65567 | − | 1.21163i | −0.282618 | − | 0.0395610i | ||||
\(939\) | −1.09193 | − | 3.36062i | −0.0356339 | − | 0.109670i | ||||
\(940\) | −7.53421 | − | 23.0587i | −0.245739 | − | 0.752091i | ||||
\(941\) | 5.08958 | − | 15.6641i | 0.165915 | − | 0.510635i | −0.833187 | − | 0.552991i | \(-0.813486\pi\) |
0.999103 | + | 0.0423559i | \(0.0134863\pi\) | |||||||
\(942\) | −7.03203 | + | 14.4379i | −0.229116 | + | 0.470413i | ||||
\(943\) | −0.0417268 | − | 0.0417268i | −0.00135881 | − | 0.00135881i | ||||
\(944\) | 29.7286 | − | 2.14449i | 0.967585 | − | 0.0697971i | ||||
\(945\) | −6.98025 | − | 1.35286i | −0.227068 | − | 0.0440084i | ||||
\(946\) | −1.68711 | − | 93.7042i | −0.0548526 | − | 3.04659i | ||||
\(947\) | 4.73828 | − | 29.9163i | 0.153973 | − | 0.972149i | −0.782815 | − | 0.622254i | \(-0.786217\pi\) |
0.936789 | − | 0.349895i | \(-0.113783\pi\) | |||||||
\(948\) | −2.36337 | + | 19.4245i | −0.0767587 | + | 0.630879i | ||||
\(949\) | − | 4.10507i | − | 0.133256i | ||||||
\(950\) | 13.3556 | − | 5.97265i | 0.433314 | − | 0.193778i | ||||
\(951\) | 29.9103i | 0.969908i | ||||||||
\(952\) | −43.3252 | − | 38.8811i | −1.40418 | − | 1.26014i | ||||
\(953\) | −2.71039 | + | 17.1127i | −0.0877980 | + | 0.554335i | 0.904102 | + | 0.427316i | \(0.140541\pi\) |
−0.991900 | + | 0.127019i | \(0.959459\pi\) | |||||||
\(954\) | −13.4048 | + | 0.241348i | −0.433996 | + | 0.00781394i | ||||
\(955\) | 13.6497 | + | 14.6214i | 0.441693 | + | 0.473138i | ||||
\(956\) | −47.3857 | − | 13.5313i | −1.53256 | − | 0.437634i | ||||
\(957\) | −6.00425 | − | 6.00425i | −0.194090 | − | 0.194090i | ||||
\(958\) | −7.14391 | − | 3.47946i | −0.230809 | − | 0.112416i | ||||
\(959\) | −11.1192 | + | 34.2215i | −0.359059 | + | 1.10507i | ||||
\(960\) | 11.5511 | + | 13.6591i | 0.372811 | + | 0.440846i | ||||
\(961\) | 9.44898 | + | 29.0810i | 0.304806 | + | 0.938096i | ||||
\(962\) | −2.38079 | + | 17.0080i | −0.0767597 | + | 0.548359i | ||||
\(963\) | 17.0098 | − | 8.66693i | 0.548133 | − | 0.279288i | ||||
\(964\) | −14.0610 | − | 17.9565i | −0.452874 | − | 0.578341i | ||||
\(965\) | 53.5806 | − | 15.3958i | 1.72482 | − | 0.495607i | ||||
\(966\) | 0.268490 | − | 0.202553i | 0.00863853 | − | 0.00651704i | ||||
\(967\) | −18.5249 | + | 2.93406i | −0.595722 | + | 0.0943530i | −0.447012 | − | 0.894528i | \(-0.647512\pi\) |
−0.148709 | + | 0.988881i | \(0.547512\pi\) | |||||||
\(968\) | 45.7544 | − | 26.5170i | 1.47060 | − | 0.852288i | ||||
\(969\) | 7.87176 | − | 10.8346i | 0.252877 | − | 0.348056i | ||||
\(970\) | −1.19967 | + | 6.84761i | −0.0385192 | + | 0.219863i | ||||
\(971\) | −31.5357 | − | 43.4052i | −1.01203 | − | 1.39294i | −0.917643 | − | 0.397405i | \(-0.869911\pi\) |
−0.0943869 | − | 0.995536i | \(-0.530089\pi\) | |||||||
\(972\) | 1.96283 | − | 0.383775i | 0.0629579 | − | 0.0123096i | ||||
\(973\) | 43.0246 | + | 21.9221i | 1.37931 | + | 0.702791i | ||||
\(974\) | −19.7514 | + | 28.2409i | −0.632874 | + | 0.904896i | ||||
\(975\) | 4.98235 | − | 5.95096i | 0.159563 | − | 0.190583i | ||||
\(976\) | 20.9927 | − | 17.6938i | 0.671961 | − | 0.566363i | ||||
\(977\) | −8.81280 | + | 17.2961i | −0.281946 | + | 0.553351i | −0.987934 | − | 0.154873i | \(-0.950503\pi\) |
0.705988 | + | 0.708224i | \(0.250503\pi\) | |||||||
\(978\) | 7.50996 | + | 7.24431i | 0.240142 | + | 0.231648i | ||||
\(979\) | −81.1173 | + | 58.9352i | −2.59252 | + | 1.88358i | ||||
\(980\) | −6.33633 | − | 12.3853i | −0.202407 | − | 0.395634i | ||||
\(981\) | 13.1053 | + | 9.52155i | 0.418420 | + | 0.304000i | ||||
\(982\) | 7.53803 | + | 42.6134i | 0.240548 | + | 1.35985i | ||||
\(983\) | −3.28130 | − | 20.7173i | −0.104657 | − | 0.660779i | −0.983119 | − | 0.182967i | \(-0.941430\pi\) |
0.878462 | − | 0.477812i | \(-0.158570\pi\) | |||||||
\(984\) | 1.21235 | − | 1.87361i | 0.0386483 | − | 0.0597285i | ||||
\(985\) | 39.1434 | + | 30.5477i | 1.24721 | + | 0.973330i | ||||
\(986\) | 13.6423 | + | 4.16267i | 0.434459 | + | 0.132566i | ||||
\(987\) | −7.83043 | − | 15.3681i | −0.249245 | − | 0.489172i | ||||
\(988\) | −4.70256 | − | 4.37556i | −0.149608 | − | 0.139205i | ||||
\(989\) | −0.865000 | + | 0.281055i | −0.0275054 | + | 0.00893704i | ||||
\(990\) | −0.281852 | + | 17.2305i | −0.00895784 | + | 0.547621i | ||||
\(991\) | 36.7768 | + | 11.9495i | 1.16825 | + | 0.379589i | 0.827991 | − | 0.560742i | \(-0.189484\pi\) |
0.340263 | + | 0.940330i | \(0.389484\pi\) | |||||||
\(992\) | −0.899291 | − | 3.56511i | −0.0285525 | − | 0.113192i | ||||
\(993\) | −11.9255 | + | 11.9255i | −0.378443 | + | 0.378443i | ||||
\(994\) | 3.99564 | + | 11.5835i | 0.126734 | + | 0.367406i | ||||
\(995\) | −25.9766 | − | 14.3805i | −0.823513 | − | 0.455891i | ||||
\(996\) | 9.49832 | + | 6.39153i | 0.300966 | + | 0.202523i | ||||
\(997\) | 0.948237 | + | 0.150186i | 0.0300310 | + | 0.00475644i | 0.171432 | − | 0.985196i | \(-0.445161\pi\) |
−0.141401 | + | 0.989952i | \(0.545161\pi\) | |||||||
\(998\) | −4.67971 | − | 8.78960i | −0.148134 | − | 0.278230i | ||||
\(999\) | 7.82325 | 0.247517 |
(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 | 300.2.w.a.67.11 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.20 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.29 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.2 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.29 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.2 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.11 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.20 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.11 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.29 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.11 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.29 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.2 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.20 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.2 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.20 | 240 | 300.203 | odd | 20 |