Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.4 | ||
Character | \(\chi\) | \(=\) | 280.131 |
Dual form | 280.2.bj.f.171.4 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.771333 | − | 1.18535i | −0.545415 | − | 0.838166i | ||||
\(3\) | 0.784482 | − | 0.452921i | 0.452921 | − | 0.261494i | −0.256142 | − | 0.966639i | \(-0.582451\pi\) |
0.709063 | + | 0.705145i | \(0.249118\pi\) | |||||||
\(4\) | −0.810092 | + | 1.82859i | −0.405046 | + | 0.914296i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −1.14196 | − | 0.580530i | −0.466205 | − | 0.237001i | ||||
\(7\) | 1.23347 | + | 2.34063i | 0.466207 | + | 0.884676i | ||||
\(8\) | 2.79237 | − | 0.450214i | 0.987250 | − | 0.159175i | ||||
\(9\) | −1.08973 | + | 1.88746i | −0.363242 | + | 0.629153i | ||||
\(10\) | 1.41221 | − | 0.0753205i | 0.446579 | − | 0.0238184i | ||||
\(11\) | 0.620880 | + | 1.07539i | 0.187202 | + | 0.324244i | 0.944316 | − | 0.329039i | \(-0.106725\pi\) |
−0.757114 | + | 0.653283i | \(0.773391\pi\) | |||||||
\(12\) | 0.192705 | + | 1.80141i | 0.0556292 | + | 0.520021i | ||||
\(13\) | 4.31348 | 1.19634 | 0.598172 | − | 0.801368i | \(-0.295894\pi\) | ||||
0.598172 | + | 0.801368i | \(0.295894\pi\) | |||||||
\(14\) | 1.82305 | − | 3.26749i | 0.487230 | − | 0.873274i | ||||
\(15\) | 0.905842i | 0.233887i | ||||||||
\(16\) | −2.68750 | − | 2.96266i | −0.671875 | − | 0.740664i | ||||
\(17\) | −1.49339 | + | 0.862209i | −0.362200 | + | 0.209116i | −0.670046 | − | 0.742320i | \(-0.733725\pi\) |
0.307845 | + | 0.951436i | \(0.400392\pi\) | |||||||
\(18\) | 3.07783 | − | 0.164157i | 0.725452 | − | 0.0386922i | ||||
\(19\) | 2.12801 | + | 1.22861i | 0.488198 | + | 0.281861i | 0.723827 | − | 0.689982i | \(-0.242382\pi\) |
−0.235628 | + | 0.971843i | \(0.575715\pi\) | |||||||
\(20\) | −1.17856 | − | 1.61586i | −0.263534 | − | 0.361317i | ||||
\(21\) | 2.02775 | + | 1.27752i | 0.442492 | + | 0.278778i | ||||
\(22\) | 0.795811 | − | 1.56544i | 0.169667 | − | 0.333754i | ||||
\(23\) | −0.393079 | − | 0.226944i | −0.0819627 | − | 0.0473212i | 0.458459 | − | 0.888716i | \(-0.348402\pi\) |
−0.540421 | + | 0.841395i | \(0.681735\pi\) | |||||||
\(24\) | 1.98665 | − | 1.61791i | 0.405523 | − | 0.330254i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −3.32713 | − | 5.11297i | −0.652503 | − | 1.00274i | ||||
\(27\) | 4.69176i | 0.902930i | ||||||||
\(28\) | −5.27928 | + | 0.359382i | −0.997691 | + | 0.0679168i | ||||
\(29\) | − | 7.69695i | − | 1.42929i | −0.699488 | − | 0.714644i | \(-0.746589\pi\) | ||
0.699488 | − | 0.714644i | \(-0.253411\pi\) | |||||||
\(30\) | 1.07374 | − | 0.698705i | 0.196037 | − | 0.127566i | ||||
\(31\) | 0.133444 | + | 0.231133i | 0.0239673 | + | 0.0415126i | 0.877760 | − | 0.479100i | \(-0.159037\pi\) |
−0.853793 | + | 0.520613i | \(0.825704\pi\) | |||||||
\(32\) | −1.43882 | + | 5.47081i | −0.254349 | + | 0.967112i | ||||
\(33\) | 0.974138 | + | 0.562419i | 0.169576 | + | 0.0979045i | ||||
\(34\) | 2.17392 | + | 1.10513i | 0.372824 | + | 0.189529i | ||||
\(35\) | −2.64378 | − | 0.102102i | −0.446880 | − | 0.0172584i | ||||
\(36\) | −2.56862 | − | 3.52168i | −0.428103 | − | 0.586947i | ||||
\(37\) | 4.24881 | + | 2.45305i | 0.698501 | + | 0.403280i | 0.806789 | − | 0.590840i | \(-0.201204\pi\) |
−0.108288 | + | 0.994120i | \(0.534537\pi\) | |||||||
\(38\) | −0.185078 | − | 3.47009i | −0.0300237 | − | 0.562923i | ||||
\(39\) | 3.38385 | − | 1.95367i | 0.541849 | − | 0.312837i | ||||
\(40\) | −1.00629 | + | 2.64337i | −0.159108 | + | 0.417953i | ||||
\(41\) | − | 12.2703i | − | 1.91630i | −0.286271 | − | 0.958149i | \(-0.592416\pi\) | ||
0.286271 | − | 0.958149i | \(-0.407584\pi\) | |||||||
\(42\) | −0.0497685 | − | 3.38898i | −0.00767945 | − | 0.522932i | ||||
\(43\) | 1.73856 | 0.265128 | 0.132564 | − | 0.991174i | \(-0.457679\pi\) | ||||
0.132564 | + | 0.991174i | \(0.457679\pi\) | |||||||
\(44\) | −2.46943 | + | 0.264167i | −0.372280 | + | 0.0398247i | ||||
\(45\) | −1.08973 | − | 1.88746i | −0.162447 | − | 0.281366i | ||||
\(46\) | 0.0341871 | + | 0.640985i | 0.00504062 | + | 0.0945081i | ||||
\(47\) | −5.37669 | + | 9.31270i | −0.784271 | + | 1.35840i | 0.145162 | + | 0.989408i | \(0.453630\pi\) |
−0.929434 | + | 0.368990i | \(0.879704\pi\) | |||||||
\(48\) | −3.45015 | − | 1.10693i | −0.497986 | − | 0.159771i | ||||
\(49\) | −3.95712 | + | 5.77419i | −0.565302 | + | 0.824884i | ||||
\(50\) | −0.640874 | + | 1.26067i | −0.0906332 | + | 0.178285i | ||||
\(51\) | −0.781025 | + | 1.35278i | −0.109365 | + | 0.189426i | ||||
\(52\) | −3.49432 | + | 7.88760i | −0.484574 | + | 1.09381i | ||||
\(53\) | 7.50728 | − | 4.33433i | 1.03120 | − | 0.595366i | 0.113875 | − | 0.993495i | \(-0.463674\pi\) |
0.917329 | + | 0.398129i | \(0.130340\pi\) | |||||||
\(54\) | 5.56136 | − | 3.61891i | 0.756806 | − | 0.492471i | ||||
\(55\) | −1.24176 | −0.167439 | ||||||||
\(56\) | 4.49808 | + | 5.98058i | 0.601081 | + | 0.799188i | ||||
\(57\) | 2.22584 | 0.294820 | ||||||||
\(58\) | −9.12356 | + | 5.93691i | −1.19798 | + | 0.779555i | ||||
\(59\) | −4.83628 | + | 2.79223i | −0.629630 | + | 0.363517i | −0.780609 | − | 0.625020i | \(-0.785091\pi\) |
0.150978 | + | 0.988537i | \(0.451758\pi\) | |||||||
\(60\) | −1.65642 | − | 0.733815i | −0.213842 | − | 0.0947351i | ||||
\(61\) | 0.462932 | − | 0.801822i | 0.0592724 | − | 0.102663i | −0.834867 | − | 0.550452i | \(-0.814455\pi\) |
0.894139 | + | 0.447790i | \(0.147789\pi\) | |||||||
\(62\) | 0.171042 | − | 0.336458i | 0.0217224 | − | 0.0427302i | ||||
\(63\) | −5.76199 | − | 0.222526i | −0.725942 | − | 0.0280357i | ||||
\(64\) | 7.59462 | − | 2.51432i | 0.949327 | − | 0.314290i | ||||
\(65\) | −2.15674 | + | 3.73558i | −0.267511 | + | 0.463342i | ||||
\(66\) | −0.0847233 | − | 1.58850i | −0.0104287 | − | 0.195531i | ||||
\(67\) | 0.465968 | + | 0.807080i | 0.0569270 | + | 0.0986005i | 0.893085 | − | 0.449889i | \(-0.148536\pi\) |
−0.836158 | + | 0.548489i | \(0.815203\pi\) | |||||||
\(68\) | −0.366846 | − | 3.42927i | −0.0444866 | − | 0.415860i | ||||
\(69\) | −0.411152 | −0.0494968 | ||||||||
\(70\) | 1.91821 | + | 3.21255i | 0.229270 | + | 0.383973i | ||||
\(71\) | 8.36052i | 0.992211i | 0.868262 | + | 0.496105i | \(0.165237\pi\) | ||||
−0.868262 | + | 0.496105i | \(0.834763\pi\) | |||||||
\(72\) | −2.19315 | + | 5.76109i | −0.258465 | + | 0.678951i | ||||
\(73\) | −6.21972 | + | 3.59095i | −0.727963 | + | 0.420289i | −0.817676 | − | 0.575678i | \(-0.804738\pi\) |
0.0897137 | + | 0.995968i | \(0.471405\pi\) | |||||||
\(74\) | −0.369530 | − | 6.92844i | −0.0429570 | − | 0.805415i | ||||
\(75\) | −0.784482 | − | 0.452921i | −0.0905842 | − | 0.0522988i | ||||
\(76\) | −3.97050 | + | 2.89597i | −0.455448 | + | 0.332191i | ||||
\(77\) | −1.75127 | + | 2.77972i | −0.199576 | + | 0.316778i | ||||
\(78\) | −4.92584 | − | 2.50411i | −0.557742 | − | 0.283534i | ||||
\(79\) | −9.56196 | − | 5.52060i | −1.07580 | − | 0.621116i | −0.146043 | − | 0.989278i | \(-0.546654\pi\) |
−0.929762 | + | 0.368162i | \(0.879987\pi\) | |||||||
\(80\) | 3.90949 | − | 0.846117i | 0.437094 | − | 0.0945987i | ||||
\(81\) | −1.14418 | − | 1.98177i | −0.127131 | − | 0.220197i | ||||
\(82\) | −14.5445 | + | 9.46448i | −1.60618 | + | 1.04518i | ||||
\(83\) | − | 8.49133i | − | 0.932045i | −0.884773 | − | 0.466022i | \(-0.845687\pi\) | ||
0.884773 | − | 0.466022i | \(-0.154313\pi\) | |||||||
\(84\) | −3.97873 | + | 2.67303i | −0.434115 | + | 0.291651i | ||||
\(85\) | − | 1.72442i | − | 0.187039i | ||||||
\(86\) | −1.34101 | − | 2.06079i | −0.144605 | − | 0.222221i | ||||
\(87\) | −3.48611 | − | 6.03812i | −0.373750 | − | 0.647355i | ||||
\(88\) | 2.21788 | + | 2.72337i | 0.236427 | + | 0.290312i | ||||
\(89\) | −6.91420 | − | 3.99191i | −0.732903 | − | 0.423142i | 0.0865800 | − | 0.996245i | \(-0.472406\pi\) |
−0.819483 | + | 0.573103i | \(0.805740\pi\) | |||||||
\(90\) | −1.39675 | + | 2.74756i | −0.147231 | + | 0.289618i | ||||
\(91\) | 5.32054 | + | 10.0963i | 0.557744 | + | 1.05838i | ||||
\(92\) | 0.733419 | − | 0.534936i | 0.0764643 | − | 0.0557709i | ||||
\(93\) | 0.209370 | + | 0.120880i | 0.0217106 | + | 0.0125346i | ||||
\(94\) | 15.1860 | − | 0.809950i | 1.56632 | − | 0.0835399i | ||||
\(95\) | −2.12801 | + | 1.22861i | −0.218329 | + | 0.126052i | ||||
\(96\) | 1.34912 | + | 4.94343i | 0.137694 | + | 0.504536i | ||||
\(97\) | − | 3.92866i | − | 0.398895i | −0.979909 | − | 0.199447i | \(-0.936085\pi\) | ||
0.979909 | − | 0.199447i | \(-0.0639147\pi\) | |||||||
\(98\) | 9.89666 | + | 0.236735i | 0.999714 | + | 0.0239139i | ||||
\(99\) | −2.70635 | −0.271999 | ||||||||
\(100\) | 1.98865 | − | 0.212736i | 0.198865 | − | 0.0212736i | ||||
\(101\) | −4.82944 | − | 8.36483i | −0.480547 | − | 0.832332i | 0.519204 | − | 0.854651i | \(-0.326229\pi\) |
−0.999751 | + | 0.0223184i | \(0.992895\pi\) | |||||||
\(102\) | 2.20594 | − | 0.117654i | 0.218420 | − | 0.0116495i | ||||
\(103\) | −3.82962 | + | 6.63310i | −0.377344 | + | 0.653578i | −0.990675 | − | 0.136247i | \(-0.956496\pi\) |
0.613331 | + | 0.789826i | \(0.289829\pi\) | |||||||
\(104\) | 12.0448 | − | 1.94199i | 1.18109 | − | 0.190427i | ||||
\(105\) | −2.12024 | + | 1.11733i | −0.206914 | + | 0.109040i | ||||
\(106\) | −10.9283 | − | 5.55552i | −1.06145 | − | 0.539599i | ||||
\(107\) | 8.44757 | − | 14.6316i | 0.816657 | − | 1.41449i | −0.0914746 | − | 0.995807i | \(-0.529158\pi\) |
0.908132 | − | 0.418684i | \(-0.137509\pi\) | |||||||
\(108\) | −8.57932 | − | 3.80076i | −0.825546 | − | 0.365728i | ||||
\(109\) | 7.93420 | − | 4.58081i | 0.759959 | − | 0.438762i | −0.0693221 | − | 0.997594i | \(-0.522084\pi\) |
0.829281 | + | 0.558832i | \(0.188750\pi\) | |||||||
\(110\) | 0.957809 | + | 1.47191i | 0.0913235 | + | 0.140342i | ||||
\(111\) | 4.44416 | 0.421821 | ||||||||
\(112\) | 3.61954 | − | 9.94479i | 0.342015 | − | 0.939695i | ||||
\(113\) | 20.4047 | 1.91952 | 0.959758 | − | 0.280829i | \(-0.0906094\pi\) | ||||
0.959758 | + | 0.280829i | \(0.0906094\pi\) | |||||||
\(114\) | −1.71687 | − | 2.63840i | −0.160799 | − | 0.247108i | ||||
\(115\) | 0.393079 | − | 0.226944i | 0.0366548 | − | 0.0211627i | ||||
\(116\) | 14.0746 | + | 6.23524i | 1.30679 | + | 0.578928i | ||||
\(117\) | −4.70051 | + | 8.14152i | −0.434562 | + | 0.752684i | ||||
\(118\) | 7.04014 | + | 3.57893i | 0.648098 | + | 0.329468i | ||||
\(119\) | −3.86016 | − | 2.43197i | −0.353861 | − | 0.222938i | ||||
\(120\) | 0.407822 | + | 2.52944i | 0.0372289 | + | 0.230905i | ||||
\(121\) | 4.72902 | − | 8.19090i | 0.429911 | − | 0.744627i | ||||
\(122\) | −1.30751 | + | 0.0697365i | −0.118376 | + | 0.00631364i | ||||
\(123\) | −5.55747 | − | 9.62582i | −0.501100 | − | 0.867931i | ||||
\(124\) | −0.530749 | + | 0.0567769i | −0.0476627 | + | 0.00509871i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 4.18064 | + | 7.00159i | 0.372441 | + | 0.623752i | ||||
\(127\) | − | 5.18278i | − | 0.459897i | −0.973203 | − | 0.229949i | \(-0.926144\pi\) | ||
0.973203 | − | 0.229949i | \(-0.0738558\pi\) | |||||||
\(128\) | −8.83832 | − | 7.06287i | −0.781204 | − | 0.624276i | ||||
\(129\) | 1.36387 | − | 0.787430i | 0.120082 | − | 0.0693293i | ||||
\(130\) | 6.09152 | − | 0.324893i | 0.534262 | − | 0.0284950i | ||||
\(131\) | 11.7551 | + | 6.78684i | 1.02705 | + | 0.592969i | 0.916139 | − | 0.400861i | \(-0.131289\pi\) |
0.110913 | + | 0.993830i | \(0.464622\pi\) | |||||||
\(132\) | −1.81758 | + | 1.32569i | −0.158200 | + | 0.115387i | ||||
\(133\) | −0.250886 | + | 6.49633i | −0.0217546 | + | 0.563303i | ||||
\(134\) | 0.597253 | − | 1.17486i | 0.0515948 | − | 0.101492i | ||||
\(135\) | −4.06319 | − | 2.34588i | −0.349703 | − | 0.201901i | ||||
\(136\) | −3.78191 | + | 3.07995i | −0.324296 | + | 0.264103i | ||||
\(137\) | −6.46913 | − | 11.2049i | −0.552695 | − | 0.957296i | −0.998079 | − | 0.0619561i | \(-0.980266\pi\) |
0.445384 | − | 0.895340i | \(-0.353067\pi\) | |||||||
\(138\) | 0.317135 | + | 0.487357i | 0.0269963 | + | 0.0414866i | ||||
\(139\) | 17.8027i | 1.51001i | 0.655720 | + | 0.755004i | \(0.272365\pi\) | ||||
−0.655720 | + | 0.755004i | \(0.727635\pi\) | |||||||
\(140\) | 2.32841 | − | 4.75169i | 0.196786 | − | 0.401591i | ||||
\(141\) | 9.74087i | 0.820329i | ||||||||
\(142\) | 9.91011 | − | 6.44874i | 0.831638 | − | 0.541166i | ||||
\(143\) | 2.67815 | + | 4.63869i | 0.223958 | + | 0.387907i | ||||
\(144\) | 8.52053 | − | 1.84407i | 0.710044 | − | 0.153672i | ||||
\(145\) | 6.66576 | + | 3.84848i | 0.553561 | + | 0.319599i | ||||
\(146\) | 9.05399 | + | 4.60270i | 0.749314 | + | 0.380922i | ||||
\(147\) | −0.489037 | + | 6.32201i | −0.0403351 | + | 0.521430i | ||||
\(148\) | −7.92757 | + | 5.78215i | −0.651642 | + | 0.475290i | ||||
\(149\) | −12.7146 | − | 7.34080i | −1.04162 | − | 0.601382i | −0.121331 | − | 0.992612i | \(-0.538716\pi\) |
−0.920293 | + | 0.391230i | \(0.872050\pi\) | |||||||
\(150\) | 0.0682284 | + | 1.27924i | 0.00557083 | + | 0.104449i | ||||
\(151\) | 14.9018 | − | 8.60359i | 1.21270 | − | 0.700150i | 0.249350 | − | 0.968414i | \(-0.419783\pi\) |
0.963346 | + | 0.268264i | \(0.0864498\pi\) | |||||||
\(152\) | 6.49531 | + | 2.47266i | 0.526839 | + | 0.200559i | ||||
\(153\) | − | 3.75829i | − | 0.303839i | ||||||
\(154\) | 4.64574 | − | 0.0682244i | 0.374364 | − | 0.00549768i | ||||
\(155\) | −0.266889 | −0.0214370 | ||||||||
\(156\) | 0.831230 | + | 7.77033i | 0.0665517 | + | 0.622124i | ||||
\(157\) | −5.35139 | − | 9.26887i | −0.427087 | − | 0.739737i | 0.569526 | − | 0.821974i | \(-0.307127\pi\) |
−0.996613 | + | 0.0822369i | \(0.973794\pi\) | |||||||
\(158\) | 0.831628 | + | 15.5925i | 0.0661608 | + | 1.24047i | ||||
\(159\) | 3.92622 | − | 6.80041i | 0.311369 | − | 0.539307i | ||||
\(160\) | −4.01846 | − | 3.98146i | −0.317687 | − | 0.314762i | ||||
\(161\) | 0.0463429 | − | 1.19998i | 0.00365233 | − | 0.0945719i | ||||
\(162\) | −1.46655 | + | 2.88485i | −0.115223 | + | 0.226655i | ||||
\(163\) | 12.5462 | − | 21.7307i | 0.982696 | − | 1.70208i | 0.330936 | − | 0.943653i | \(-0.392636\pi\) |
0.651760 | − | 0.758426i | \(-0.274031\pi\) | |||||||
\(164\) | 22.4374 | + | 9.94006i | 1.75206 | + | 0.776189i | ||||
\(165\) | −0.974138 | + | 0.562419i | −0.0758365 | + | 0.0437842i | ||||
\(166\) | −10.0652 | + | 6.54964i | −0.781209 | + | 0.508351i | ||||
\(167\) | 6.43113 | 0.497656 | 0.248828 | − | 0.968548i | \(-0.419955\pi\) | ||||
0.248828 | + | 0.968548i | \(0.419955\pi\) | |||||||
\(168\) | 6.23739 | + | 2.65438i | 0.481225 | + | 0.204790i | ||||
\(169\) | 5.60611 | 0.431239 | ||||||||
\(170\) | −2.04403 | + | 1.33010i | −0.156770 | + | 0.102014i | ||||
\(171\) | −4.63789 | + | 2.67768i | −0.354668 | + | 0.204768i | ||||
\(172\) | −1.40839 | + | 3.17912i | −0.107389 | + | 0.242405i | ||||
\(173\) | −1.08576 | + | 1.88059i | −0.0825486 | + | 0.142978i | −0.904344 | − | 0.426804i | \(-0.859639\pi\) |
0.821795 | + | 0.569783i | \(0.192973\pi\) | |||||||
\(174\) | −4.46831 | + | 8.78965i | −0.338742 | + | 0.666342i | ||||
\(175\) | 1.41031 | − | 2.23853i | 0.106610 | − | 0.169217i | ||||
\(176\) | 1.51741 | − | 4.72958i | 0.114379 | − | 0.356505i | ||||
\(177\) | −2.52932 | + | 4.38091i | −0.190115 | + | 0.329289i | ||||
\(178\) | 0.601345 | + | 11.2748i | 0.0450727 | + | 0.845083i | ||||
\(179\) | −11.3858 | − | 19.7209i | −0.851018 | − | 1.47401i | −0.880291 | − | 0.474434i | \(-0.842653\pi\) |
0.0292733 | − | 0.999571i | \(-0.490681\pi\) | |||||||
\(180\) | 4.33417 | − | 0.463648i | 0.323050 | − | 0.0345583i | ||||
\(181\) | −20.2848 | −1.50776 | −0.753879 | − | 0.657013i | \(-0.771820\pi\) | ||||
−0.753879 | + | 0.657013i | \(0.771820\pi\) | |||||||
\(182\) | 7.86367 | − | 14.0943i | 0.582894 | − | 1.04474i | ||||
\(183\) | − | 0.838686i | − | 0.0619975i | ||||||
\(184\) | −1.19979 | − | 0.456742i | −0.0884500 | − | 0.0336715i | ||||
\(185\) | −4.24881 | + | 2.45305i | −0.312379 | + | 0.180352i | ||||
\(186\) | −0.0182094 | − | 0.341414i | −0.00133518 | − | 0.0250337i | ||||
\(187\) | −1.85443 | − | 1.07066i | −0.135609 | − | 0.0782941i | ||||
\(188\) | −12.6735 | − | 17.3759i | −0.924312 | − | 1.26727i | ||||
\(189\) | −10.9817 | + | 5.78714i | −0.798801 | + | 0.420952i | ||||
\(190\) | 3.09772 | + | 1.57476i | 0.224733 | + | 0.114245i | ||||
\(191\) | −1.45879 | − | 0.842233i | −0.105554 | − | 0.0609419i | 0.446293 | − | 0.894887i | \(-0.352744\pi\) |
−0.551848 | + | 0.833945i | \(0.686077\pi\) | |||||||
\(192\) | 4.81905 | − | 5.41220i | 0.347785 | − | 0.390592i | ||||
\(193\) | 12.3298 | + | 21.3558i | 0.887517 | + | 1.53722i | 0.842801 | + | 0.538225i | \(0.180905\pi\) |
0.0447160 | + | 0.999000i | \(0.485762\pi\) | |||||||
\(194\) | −4.65682 | + | 3.03030i | −0.334340 | + | 0.217563i | ||||
\(195\) | 3.90733i | 0.279810i | ||||||||
\(196\) | −7.35301 | − | 11.9136i | −0.525215 | − | 0.850970i | ||||
\(197\) | 1.66437i | 0.118582i | 0.998241 | + | 0.0592908i | \(0.0188839\pi\) | ||||
−0.998241 | + | 0.0592908i | \(0.981116\pi\) | |||||||
\(198\) | 2.08750 | + | 3.20796i | 0.148352 | + | 0.227980i | ||||
\(199\) | −6.39700 | − | 11.0799i | −0.453471 | − | 0.785435i | 0.545128 | − | 0.838353i | \(-0.316481\pi\) |
−0.998599 | + | 0.0529181i | \(0.983148\pi\) | |||||||
\(200\) | −1.78608 | − | 2.19315i | −0.126295 | − | 0.155079i | ||||
\(201\) | 0.731087 | + | 0.422093i | 0.0515669 | + | 0.0297721i | ||||
\(202\) | −6.19012 | + | 12.1766i | −0.435535 | + | 0.856745i | ||||
\(203\) | 18.0157 | − | 9.49394i | 1.26446 | − | 0.666344i | ||||
\(204\) | −1.84097 | − | 2.52405i | −0.128894 | − | 0.176719i | ||||
\(205\) | 10.6264 | + | 6.13515i | 0.742179 | + | 0.428497i | ||||
\(206\) | 10.8164 | − | 0.576897i | 0.753616 | − | 0.0401943i | ||||
\(207\) | 0.856697 | − | 0.494614i | 0.0595446 | − | 0.0343781i | ||||
\(208\) | −11.5925 | − | 12.7794i | −0.803794 | − | 0.886089i | ||||
\(209\) | 3.05126i | 0.211060i | ||||||||
\(210\) | 2.95983 | + | 1.65139i | 0.204248 | + | 0.113957i | ||||
\(211\) | −16.8109 | −1.15731 | −0.578655 | − | 0.815573i | \(-0.696422\pi\) | ||||
−0.578655 | + | 0.815573i | \(0.696422\pi\) | |||||||
\(212\) | 1.84414 | + | 17.2390i | 0.126656 | + | 1.18398i | ||||
\(213\) | 3.78665 | + | 6.55868i | 0.259457 | + | 0.449393i | ||||
\(214\) | −23.8594 | + | 1.27255i | −1.63100 | + | 0.0869897i | ||||
\(215\) | −0.869279 | + | 1.50564i | −0.0592844 | + | 0.102684i | ||||
\(216\) | 2.11230 | + | 13.1011i | 0.143723 | + | 0.891418i | ||||
\(217\) | −0.376397 | + | 0.597439i | −0.0255515 | + | 0.0405568i | ||||
\(218\) | −11.5498 | − | 5.87145i | −0.782249 | − | 0.397665i | ||||
\(219\) | −3.25284 | + | 5.63408i | −0.219806 | + | 0.380716i | ||||
\(220\) | 1.00594 | − | 2.27067i | 0.0678204 | − | 0.153089i | ||||
\(221\) | −6.44171 | + | 3.71912i | −0.433316 | + | 0.250175i | ||||
\(222\) | −3.42792 | − | 5.26787i | −0.230067 | − | 0.353556i | ||||
\(223\) | 23.8692 | 1.59840 | 0.799200 | − | 0.601065i | \(-0.205257\pi\) | ||||
0.799200 | + | 0.601065i | \(0.205257\pi\) | |||||||
\(224\) | −14.5799 | + | 3.38033i | −0.974160 | + | 0.225858i | ||||
\(225\) | 2.17945 | 0.145297 | ||||||||
\(226\) | −15.7388 | − | 24.1867i | −1.04693 | − | 1.60887i | ||||
\(227\) | −6.71810 | + | 3.87870i | −0.445896 | + | 0.257438i | −0.706095 | − | 0.708117i | \(-0.749545\pi\) |
0.260199 | + | 0.965555i | \(0.416212\pi\) | |||||||
\(228\) | −1.80314 | + | 4.07016i | −0.119416 | + | 0.269553i | ||||
\(229\) | −2.45190 | + | 4.24681i | −0.162026 | + | 0.280637i | −0.935595 | − | 0.353075i | \(-0.885136\pi\) |
0.773569 | + | 0.633712i | \(0.218470\pi\) | |||||||
\(230\) | −0.572203 | − | 0.290885i | −0.0377299 | − | 0.0191804i | ||||
\(231\) | −0.114848 | + | 2.97382i | −0.00755645 | + | 0.195663i | ||||
\(232\) | −3.46527 | − | 21.4927i | −0.227506 | − | 1.41107i | ||||
\(233\) | −8.58535 | + | 14.8703i | −0.562445 | + | 0.974183i | 0.434838 | + | 0.900509i | \(0.356806\pi\) |
−0.997282 | + | 0.0736741i | \(0.976528\pi\) | |||||||
\(234\) | 13.2762 | − | 0.708089i | 0.867891 | − | 0.0462892i | ||||
\(235\) | −5.37669 | − | 9.31270i | −0.350737 | − | 0.607494i | ||||
\(236\) | −1.18802 | − | 11.1056i | −0.0773332 | − | 0.722910i | ||||
\(237\) | −10.0016 | −0.649673 | ||||||||
\(238\) | 0.0947426 | + | 6.45149i | 0.00614125 | + | 0.418188i | ||||
\(239\) | 22.5691i | 1.45987i | 0.683516 | + | 0.729935i | \(0.260450\pi\) | ||||
−0.683516 | + | 0.729935i | \(0.739550\pi\) | |||||||
\(240\) | 2.68370 | − | 2.43445i | 0.173232 | − | 0.157143i | ||||
\(241\) | −2.49414 | + | 1.43999i | −0.160662 | + | 0.0927580i | −0.578175 | − | 0.815913i | \(-0.696235\pi\) |
0.417514 | + | 0.908671i | \(0.362902\pi\) | |||||||
\(242\) | −13.3567 | + | 0.712383i | −0.858601 | + | 0.0457937i | ||||
\(243\) | −13.9847 | − | 8.07409i | −0.897121 | − | 0.517953i | ||||
\(244\) | 1.09119 | + | 1.49606i | 0.0698561 | + | 0.0957756i | ||||
\(245\) | −3.02203 | − | 6.31406i | −0.193071 | − | 0.403390i | ||||
\(246\) | −7.12328 | + | 14.0122i | −0.454163 | + | 0.893388i | ||||
\(247\) | 9.17911 | + | 5.29956i | 0.584053 | + | 0.337203i | ||||
\(248\) | 0.476685 | + | 0.585328i | 0.0302695 | + | 0.0371684i | ||||
\(249\) | −3.84590 | − | 6.66130i | −0.243724 | − | 0.422143i | ||||
\(250\) | −0.771333 | − | 1.18535i | −0.0487834 | − | 0.0749679i | ||||
\(251\) | 12.3739i | 0.781034i | 0.920596 | + | 0.390517i | \(0.127704\pi\) | ||||
−0.920596 | + | 0.390517i | \(0.872296\pi\) | |||||||
\(252\) | 5.07465 | − | 10.3561i | 0.319673 | − | 0.652371i | ||||
\(253\) | − | 0.563621i | − | 0.0354345i | ||||||
\(254\) | −6.14339 | + | 3.99765i | −0.385470 | + | 0.250835i | ||||
\(255\) | −0.781025 | − | 1.35278i | −0.0489097 | − | 0.0847141i | ||||
\(256\) | −1.55467 | + | 15.9243i | −0.0971667 | + | 0.995268i | ||||
\(257\) | 4.89750 | + | 2.82758i | 0.305498 | + | 0.176379i | 0.644910 | − | 0.764258i | \(-0.276895\pi\) |
−0.339412 | + | 0.940638i | \(0.610228\pi\) | |||||||
\(258\) | −1.98537 | − | 1.00929i | −0.123604 | − | 0.0628354i | ||||
\(259\) | −0.500923 | + | 12.9707i | −0.0311259 | + | 0.805959i | ||||
\(260\) | −5.08370 | − | 6.96996i | −0.315278 | − | 0.432259i | ||||
\(261\) | 14.5277 | + | 8.38756i | 0.899241 | + | 0.519177i | ||||
\(262\) | −1.02238 | − | 19.1688i | −0.0631626 | − | 1.18425i | ||||
\(263\) | −8.62649 | + | 4.98051i | −0.531932 | + | 0.307111i | −0.741803 | − | 0.670618i | \(-0.766029\pi\) |
0.209871 | + | 0.977729i | \(0.432696\pi\) | |||||||
\(264\) | 2.97336 | + | 1.13191i | 0.182998 | + | 0.0696642i | ||||
\(265\) | 8.66866i | 0.532511i | ||||||||
\(266\) | 7.89391 | − | 4.71344i | 0.484007 | − | 0.289000i | ||||
\(267\) | −7.23208 | −0.442596 | ||||||||
\(268\) | −1.85330 | + | 0.198256i | −0.113208 | + | 0.0121104i | ||||
\(269\) | 9.77791 | + | 16.9358i | 0.596170 | + | 1.03260i | 0.993381 | + | 0.114869i | \(0.0366449\pi\) |
−0.397211 | + | 0.917727i | \(0.630022\pi\) | |||||||
\(270\) | 0.353386 | + | 6.62574i | 0.0215064 | + | 0.403230i | ||||
\(271\) | 16.1219 | − | 27.9240i | 0.979336 | − | 1.69626i | 0.314522 | − | 0.949250i | \(-0.398156\pi\) |
0.664814 | − | 0.747009i | \(-0.268511\pi\) | |||||||
\(272\) | 6.56792 | + | 2.10721i | 0.398239 | + | 0.127769i | ||||
\(273\) | 8.74668 | + | 5.51056i | 0.529373 | + | 0.333514i | ||||
\(274\) | −8.29179 | + | 16.3108i | −0.500925 | + | 0.985373i | ||||
\(275\) | 0.620880 | − | 1.07539i | 0.0374404 | − | 0.0648488i | ||||
\(276\) | 0.333071 | − | 0.751829i | 0.0200485 | − | 0.0452548i | ||||
\(277\) | 15.3351 | − | 8.85371i | 0.921396 | − | 0.531968i | 0.0373155 | − | 0.999304i | \(-0.488119\pi\) |
0.884080 | + | 0.467336i | \(0.154786\pi\) | |||||||
\(278\) | 21.1024 | − | 13.7318i | 1.26564 | − | 0.823580i | ||||
\(279\) | −0.581671 | −0.0348237 | ||||||||
\(280\) | −7.42837 | + | 0.905160i | −0.443930 | + | 0.0540936i | ||||
\(281\) | −4.02367 | −0.240032 | −0.120016 | − | 0.992772i | \(-0.538295\pi\) | ||||
−0.120016 | + | 0.992772i | \(0.538295\pi\) | |||||||
\(282\) | 11.5463 | − | 7.51345i | 0.687572 | − | 0.447419i | ||||
\(283\) | −16.4300 | + | 9.48585i | −0.976661 | + | 0.563875i | −0.901260 | − | 0.433278i | \(-0.857357\pi\) |
−0.0754004 | + | 0.997153i | \(0.524023\pi\) | |||||||
\(284\) | −15.2880 | − | 6.77279i | −0.907175 | − | 0.401891i | ||||
\(285\) | −1.11292 | + | 1.92764i | −0.0659238 | + | 0.114183i | ||||
\(286\) | 3.43271 | − | 6.75251i | 0.202981 | − | 0.399284i | ||||
\(287\) | 28.7202 | − | 15.1350i | 1.69530 | − | 0.893391i | ||||
\(288\) | −8.75803 | − | 8.67739i | −0.516072 | − | 0.511320i | ||||
\(289\) | −7.01319 | + | 12.1472i | −0.412541 | + | 0.714541i | ||||
\(290\) | −0.579738 | − | 10.8697i | −0.0340434 | − | 0.638290i | ||||
\(291\) | −1.77937 | − | 3.08196i | −0.104309 | − | 0.180668i | ||||
\(292\) | −1.52785 | − | 14.2823i | −0.0894107 | − | 0.835810i | ||||
\(293\) | 10.3847 | 0.606678 | 0.303339 | − | 0.952883i | \(-0.401899\pi\) | ||||
0.303339 | + | 0.952883i | \(0.401899\pi\) | |||||||
\(294\) | 7.87098 | − | 4.29669i | 0.459045 | − | 0.250588i | ||||
\(295\) | − | 5.58446i | − | 0.325140i | ||||||
\(296\) | 12.9686 | + | 4.93695i | 0.753787 | + | 0.286954i | ||||
\(297\) | −5.04550 | + | 2.91302i | −0.292770 | + | 0.169031i | ||||
\(298\) | 1.10583 | + | 20.7335i | 0.0640587 | + | 1.20106i | ||||
\(299\) | −1.69554 | − | 0.978920i | −0.0980556 | − | 0.0566124i | ||||
\(300\) | 1.46371 | − | 1.06759i | 0.0845074 | − | 0.0616374i | ||||
\(301\) | 2.14446 | + | 4.06933i | 0.123604 | + | 0.234552i | ||||
\(302\) | −21.6925 | − | 11.0276i | −1.24826 | − | 0.634569i | ||||
\(303\) | −7.57722 | − | 4.37471i | −0.435300 | − | 0.251320i | ||||
\(304\) | −2.07909 | − | 9.60643i | −0.119244 | − | 0.550967i | ||||
\(305\) | 0.462932 | + | 0.801822i | 0.0265074 | + | 0.0459122i | ||||
\(306\) | −4.45487 | + | 2.89889i | −0.254668 | + | 0.165718i | ||||
\(307\) | 21.4468i | 1.22403i | 0.790846 | + | 0.612015i | \(0.209641\pi\) | ||||
−0.790846 | + | 0.612015i | \(0.790359\pi\) | |||||||
\(308\) | −3.66428 | − | 5.45418i | −0.208792 | − | 0.310781i | ||||
\(309\) | 6.93806i | 0.394692i | ||||||||
\(310\) | 0.205860 | + | 0.316356i | 0.0116921 | + | 0.0179678i | ||||
\(311\) | 3.97738 | + | 6.88902i | 0.225536 | + | 0.390641i | 0.956480 | − | 0.291797i | \(-0.0942532\pi\) |
−0.730944 | + | 0.682438i | \(0.760920\pi\) | |||||||
\(312\) | 8.56937 | − | 6.97880i | 0.485145 | − | 0.395097i | ||||
\(313\) | −9.04094 | − | 5.21979i | −0.511024 | − | 0.295040i | 0.222230 | − | 0.974994i | \(-0.428666\pi\) |
−0.733255 | + | 0.679954i | \(0.762000\pi\) | |||||||
\(314\) | −6.85913 | + | 13.4926i | −0.387083 | + | 0.761433i | ||||
\(315\) | 3.07371 | − | 4.87877i | 0.173184 | − | 0.274887i | ||||
\(316\) | 17.8410 | − | 13.0127i | 1.00363 | − | 0.732024i | ||||
\(317\) | −5.86432 | − | 3.38576i | −0.329373 | − | 0.190163i | 0.326190 | − | 0.945304i | \(-0.394235\pi\) |
−0.655563 | + | 0.755141i | \(0.727568\pi\) | |||||||
\(318\) | −11.0893 | + | 0.591449i | −0.621855 | + | 0.0331668i | ||||
\(319\) | 8.27726 | − | 4.77888i | 0.463438 | − | 0.267566i | ||||
\(320\) | −1.61984 | + | 7.83429i | −0.0905519 | + | 0.437950i | ||||
\(321\) | − | 15.3043i | − | 0.854204i | ||||||
\(322\) | −1.45814 | + | 0.870653i | −0.0812590 | + | 0.0485196i | ||||
\(323\) | −4.23726 | −0.235767 | ||||||||
\(324\) | 4.55075 | − | 0.486816i | 0.252819 | − | 0.0270453i | ||||
\(325\) | −2.15674 | − | 3.73558i | −0.119634 | − | 0.207213i | ||||
\(326\) | −35.4357 | + | 1.88997i | −1.96260 | + | 0.104676i | ||||
\(327\) | 4.14949 | − | 7.18713i | 0.229468 | − | 0.397449i | ||||
\(328\) | −5.52425 | − | 34.2631i | −0.305026 | − | 1.89187i | ||||
\(329\) | −28.4296 | − | 1.09794i | −1.56737 | − | 0.0605315i | ||||
\(330\) | 1.41805 | + | 0.720879i | 0.0780608 | + | 0.0396831i | ||||
\(331\) | 5.59806 | − | 9.69613i | 0.307697 | − | 0.532947i | −0.670161 | − | 0.742216i | \(-0.733775\pi\) |
0.977858 | + | 0.209268i | \(0.0671083\pi\) | |||||||
\(332\) | 15.5272 | + | 6.87876i | 0.852165 | + | 0.377521i | ||||
\(333\) | −9.26008 | + | 5.34631i | −0.507449 | + | 0.292976i | ||||
\(334\) | −4.96054 | − | 7.62312i | −0.271429 | − | 0.417119i | ||||
\(335\) | −0.931935 | −0.0509171 | ||||||||
\(336\) | −1.66474 | − | 9.44088i | −0.0908189 | − | 0.515042i | ||||
\(337\) | 24.4910 | 1.33411 | 0.667055 | − | 0.745008i | \(-0.267554\pi\) | ||||
0.667055 | + | 0.745008i | \(0.267554\pi\) | |||||||
\(338\) | −4.32417 | − | 6.64518i | −0.235204 | − | 0.361450i | ||||
\(339\) | 16.0071 | − | 9.24173i | 0.869389 | − | 0.501942i | ||||
\(340\) | 3.15326 | + | 1.39694i | 0.171010 | + | 0.0757596i | ||||
\(341\) | −0.165706 | + | 0.287011i | −0.00897347 | + | 0.0155425i | ||||
\(342\) | 6.75134 | + | 3.43212i | 0.365070 | + | 0.185588i | ||||
\(343\) | −18.3962 | − | 2.13988i | −0.993303 | − | 0.115543i | ||||
\(344\) | 4.85469 | − | 0.782723i | 0.261748 | − | 0.0422016i | ||||
\(345\) | 0.205576 | − | 0.356068i | 0.0110678 | − | 0.0191700i | ||||
\(346\) | 3.06663 | − | 0.163559i | 0.164863 | − | 0.00879301i | ||||
\(347\) | 8.21166 | + | 14.2230i | 0.440825 | + | 0.763531i | 0.997751 | − | 0.0670312i | \(-0.0213527\pi\) |
−0.556926 | + | 0.830562i | \(0.688019\pi\) | |||||||
\(348\) | 13.8653 | − | 1.48324i | 0.743260 | − | 0.0795102i | ||||
\(349\) | −0.191603 | −0.0102563 | −0.00512813 | − | 0.999987i | \(-0.501632\pi\) | ||||
−0.00512813 | + | 0.999987i | \(0.501632\pi\) | |||||||
\(350\) | −3.74125 | + | 0.0549418i | −0.199978 | + | 0.00293676i | ||||
\(351\) | 20.2378i | 1.08022i | ||||||||
\(352\) | −6.77662 | + | 1.84942i | −0.361195 | + | 0.0985745i | ||||
\(353\) | −19.3579 | + | 11.1763i | −1.03032 | + | 0.594854i | −0.917075 | − | 0.398714i | \(-0.869457\pi\) |
−0.113241 | + | 0.993568i | \(0.536123\pi\) | |||||||
\(354\) | 7.14384 | − | 0.381019i | 0.379691 | − | 0.0202509i | ||||
\(355\) | −7.24042 | − | 4.18026i | −0.384282 | − | 0.221865i | ||||
\(356\) | 12.9007 | − | 9.40943i | 0.683737 | − | 0.498699i | ||||
\(357\) | −4.12972 | − | 0.159488i | −0.218568 | − | 0.00844102i | ||||
\(358\) | −14.5938 | + | 28.7075i | −0.771305 | + | 1.51724i | ||||
\(359\) | 20.4748 | + | 11.8211i | 1.08062 | + | 0.623896i | 0.931064 | − | 0.364857i | \(-0.118882\pi\) |
0.149556 | + | 0.988753i | \(0.452216\pi\) | |||||||
\(360\) | −3.89267 | − | 4.77987i | −0.205162 | − | 0.251921i | ||||
\(361\) | −6.48106 | − | 11.2255i | −0.341108 | − | 0.590817i | ||||
\(362\) | 15.6463 | + | 24.0445i | 0.822353 | + | 1.26375i | ||||
\(363\) | − | 8.56748i | − | 0.449676i | ||||||
\(364\) | −22.7721 | + | 1.55019i | −1.19358 | + | 0.0812519i | ||||
\(365\) | − | 7.18191i | − | 0.375918i | ||||||
\(366\) | −0.994134 | + | 0.646906i | −0.0519642 | + | 0.0338143i | ||||
\(367\) | −9.00124 | − | 15.5906i | −0.469861 | − | 0.813823i | 0.529545 | − | 0.848282i | \(-0.322363\pi\) |
−0.999406 | + | 0.0344586i | \(0.989029\pi\) | |||||||
\(368\) | 0.384043 | + | 1.77447i | 0.0200196 | + | 0.0925008i | ||||
\(369\) | 23.1597 | + | 13.3712i | 1.20564 | + | 0.696079i | ||||
\(370\) | 6.18497 | + | 3.14420i | 0.321541 | + | 0.163459i | ||||
\(371\) | 19.4051 | + | 12.2255i | 1.00746 | + | 0.634717i | ||||
\(372\) | −0.390648 | + | 0.284928i | −0.0202542 | + | 0.0147728i | ||||
\(373\) | 21.5700 | + | 12.4535i | 1.11685 | + | 0.644815i | 0.940596 | − | 0.339529i | \(-0.110268\pi\) |
0.176257 | + | 0.984344i | \(0.443601\pi\) | |||||||
\(374\) | 0.161285 | + | 3.02398i | 0.00833983 | + | 0.156366i | ||||
\(375\) | 0.784482 | − | 0.452921i | 0.0405105 | − | 0.0233887i | ||||
\(376\) | −10.8210 | + | 28.4251i | −0.558050 | + | 1.46591i | ||||
\(377\) | − | 33.2006i | − | 1.70992i | ||||||
\(378\) | 15.3303 | + | 8.55330i | 0.788505 | + | 0.439934i | ||||
\(379\) | 3.91557 | 0.201130 | 0.100565 | − | 0.994931i | \(-0.467935\pi\) | ||||
0.100565 | + | 0.994931i | \(0.467935\pi\) | |||||||
\(380\) | −0.522737 | − | 4.88654i | −0.0268159 | − | 0.250674i | ||||
\(381\) | −2.34739 | − | 4.06580i | −0.120260 | − | 0.208297i | ||||
\(382\) | 0.126875 | + | 2.37881i | 0.00649148 | + | 0.121711i | ||||
\(383\) | −8.27193 | + | 14.3274i | −0.422676 | + | 0.732096i | −0.996200 | − | 0.0870922i | \(-0.972243\pi\) |
0.573524 | + | 0.819189i | \(0.305576\pi\) | |||||||
\(384\) | −10.1324 | − | 1.53764i | −0.517068 | − | 0.0784672i | ||||
\(385\) | −1.53167 | − | 2.90650i | −0.0780611 | − | 0.148129i | ||||
\(386\) | 15.8037 | − | 31.0875i | 0.804386 | − | 1.58231i | ||||
\(387\) | −1.89455 | + | 3.28146i | −0.0963055 | + | 0.166806i | ||||
\(388\) | 7.18392 | + | 3.18258i | 0.364708 | + | 0.161571i | ||||
\(389\) | −17.8537 | + | 10.3078i | −0.905219 | + | 0.522628i | −0.878890 | − | 0.477025i | \(-0.841715\pi\) |
−0.0263290 | + | 0.999653i | \(0.508382\pi\) | |||||||
\(390\) | 4.63154 | − | 3.01385i | 0.234527 | − | 0.152612i | ||||
\(391\) | 0.782695 | 0.0395826 | ||||||||
\(392\) | −8.45010 | + | 17.9052i | −0.426795 | + | 0.904349i | ||||
\(393\) | 12.2956 | 0.620231 | ||||||||
\(394\) | 1.97286 | − | 1.28379i | 0.0993912 | − | 0.0646762i | ||||
\(395\) | 9.56196 | − | 5.52060i | 0.481114 | − | 0.277772i | ||||
\(396\) | 2.19239 | − | 4.94882i | 0.110172 | − | 0.248687i | ||||
\(397\) | 9.45979 | − | 16.3848i | 0.474773 | − | 0.822332i | −0.524809 | − | 0.851220i | \(-0.675863\pi\) |
0.999583 | + | 0.0288882i | \(0.00919669\pi\) | |||||||
\(398\) | −8.19933 | + | 16.1290i | −0.410995 | + | 0.808472i | ||||
\(399\) | 2.74551 | + | 5.20988i | 0.137447 | + | 0.260820i | ||||
\(400\) | −1.22198 | + | 3.80877i | −0.0610992 | + | 0.190439i | ||||
\(401\) | −1.73670 | + | 3.00804i | −0.0867264 | + | 0.150215i | −0.906126 | − | 0.423009i | \(-0.860974\pi\) |
0.819399 | + | 0.573223i | \(0.194307\pi\) | |||||||
\(402\) | −0.0635845 | − | 1.19216i | −0.00317131 | − | 0.0594598i | ||||
\(403\) | 0.575610 | + | 0.996985i | 0.0286732 | + | 0.0496634i | ||||
\(404\) | 19.2082 | − | 2.05479i | 0.955642 | − | 0.102230i | ||||
\(405\) | 2.28836 | 0.113709 | ||||||||
\(406\) | −25.1497 | − | 14.0319i | −1.24816 | − | 0.696391i | ||||
\(407\) | 6.09221i | 0.301979i | ||||||||
\(408\) | −1.57187 | + | 4.12907i | −0.0778192 | + | 0.204420i | ||||
\(409\) | 20.4501 | − | 11.8069i | 1.01119 | − | 0.583812i | 0.0996521 | − | 0.995022i | \(-0.468227\pi\) |
0.911541 | + | 0.411210i | \(0.134894\pi\) | |||||||
\(410\) | −0.924204 | − | 17.3282i | −0.0456432 | − | 0.855778i | ||||
\(411\) | −10.1498 | − | 5.86001i | −0.500654 | − | 0.289053i | ||||
\(412\) | −9.02689 | − | 12.3762i | −0.444723 | − | 0.609733i | ||||
\(413\) | −12.5010 | − | 7.87584i | −0.615133 | − | 0.387545i | ||||
\(414\) | −1.24709 | − | 0.633971i | −0.0612910 | − | 0.0311580i | ||||
\(415\) | 7.35371 | + | 4.24567i | 0.360979 | + | 0.208412i | ||||
\(416\) | −6.20630 | + | 23.5982i | −0.304289 | + | 1.15700i | ||||
\(417\) | 8.06323 | + | 13.9659i | 0.394858 | + | 0.683914i | ||||
\(418\) | 3.61680 | − | 2.35354i | 0.176904 | − | 0.115115i | ||||
\(419\) | 7.29588i | 0.356427i | 0.983992 | + | 0.178214i | \(0.0570318\pi\) | ||||
−0.983992 | + | 0.178214i | \(0.942968\pi\) | |||||||
\(420\) | −0.325543 | − | 4.78220i | −0.0158849 | − | 0.233347i | ||||
\(421\) | − | 6.71577i | − | 0.327307i | −0.986518 | − | 0.163653i | \(-0.947672\pi\) | ||
0.986518 | − | 0.163653i | \(-0.0523278\pi\) | |||||||
\(422\) | 12.9668 | + | 19.9267i | 0.631213 | + | 0.970018i | ||||
\(423\) | −11.7182 | − | 20.2966i | −0.569760 | − | 0.986853i | ||||
\(424\) | 19.0117 | − | 15.4829i | 0.923289 | − | 0.751917i | ||||
\(425\) | 1.49339 | + | 0.862209i | 0.0724401 | + | 0.0418233i | ||||
\(426\) | 4.85353 | − | 9.54742i | 0.235154 | − | 0.462574i | ||||
\(427\) | 2.44778 | + | 0.0945325i | 0.118456 | + | 0.00457475i | ||||
\(428\) | 19.9120 | + | 27.3001i | 0.962481 | + | 1.31960i | ||||
\(429\) | 4.20192 | + | 2.42598i | 0.202871 | + | 0.117127i | ||||
\(430\) | 2.45520 | − | 0.130949i | 0.118400 | − | 0.00631492i | ||||
\(431\) | −29.3361 | + | 16.9372i | −1.41307 | + | 0.815837i | −0.995677 | − | 0.0928881i | \(-0.970390\pi\) |
−0.417395 | + | 0.908725i | \(0.637057\pi\) | |||||||
\(432\) | 13.9001 | − | 12.6091i | 0.668768 | − | 0.606657i | ||||
\(433\) | 14.8665i | 0.714440i | 0.934020 | + | 0.357220i | \(0.116275\pi\) | ||||
−0.934020 | + | 0.357220i | \(0.883725\pi\) | |||||||
\(434\) | 0.998499 | − | 0.0146633i | 0.0479295 | − | 0.000703863i | ||||
\(435\) | 6.97222 | 0.334292 | ||||||||
\(436\) | 1.94901 | + | 18.2193i | 0.0933406 | + | 0.872547i | ||||
\(437\) | −0.557650 | − | 0.965879i | −0.0266760 | − | 0.0462042i | ||||
\(438\) | 9.18736 | − | 0.490010i | 0.438989 | − | 0.0234136i | ||||
\(439\) | −6.22389 | + | 10.7801i | −0.297050 | + | 0.514506i | −0.975460 | − | 0.220178i | \(-0.929336\pi\) |
0.678410 | + | 0.734684i | \(0.262669\pi\) | |||||||
\(440\) | −3.46745 | + | 0.559057i | −0.165304 | + | 0.0266520i | ||||
\(441\) | −6.58637 | − | 13.7612i | −0.313637 | − | 0.655294i | ||||
\(442\) | 9.37715 | + | 4.76698i | 0.446025 | + | 0.226742i | ||||
\(443\) | −5.16402 | + | 8.94434i | −0.245350 | + | 0.424959i | −0.962230 | − | 0.272238i | \(-0.912236\pi\) |
0.716880 | + | 0.697197i | \(0.245570\pi\) | |||||||
\(444\) | −3.60018 | + | 8.12656i | −0.170857 | + | 0.385669i | ||||
\(445\) | 6.91420 | − | 3.99191i | 0.327764 | − | 0.189235i | ||||
\(446\) | −18.4111 | − | 28.2933i | −0.871791 | − | 1.33973i | ||||
\(447\) | −13.2992 | −0.629031 | ||||||||
\(448\) | 15.2528 | + | 14.6749i | 0.720628 | + | 0.693322i | ||||
\(449\) | 18.6590 | 0.880574 | 0.440287 | − | 0.897857i | \(-0.354877\pi\) | ||||
0.440287 | + | 0.897857i | \(0.354877\pi\) | |||||||
\(450\) | −1.68108 | − | 2.58340i | −0.0792469 | − | 0.121783i | ||||
\(451\) | 13.1954 | − | 7.61837i | 0.621348 | − | 0.358735i | ||||
\(452\) | −16.5297 | + | 37.3119i | −0.777492 | + | 1.75501i | ||||
\(453\) | 7.79349 | − | 13.4987i | 0.366170 | − | 0.634225i | ||||
\(454\) | 9.77949 | + | 4.97151i | 0.458974 | + | 0.233324i | ||||
\(455\) | −11.4039 | − | 0.440415i | −0.534623 | − | 0.0206470i | ||||
\(456\) | 6.21537 | − | 1.00211i | 0.291061 | − | 0.0469279i | ||||
\(457\) | 5.65988 | − | 9.80320i | 0.264758 | − | 0.458574i | −0.702742 | − | 0.711445i | \(-0.748041\pi\) |
0.967500 | + | 0.252870i | \(0.0813746\pi\) | |||||||
\(458\) | 6.92518 | − | 0.369356i | 0.323592 | − | 0.0172589i | ||||
\(459\) | −4.04528 | − | 7.00663i | −0.188818 | − | 0.327042i | ||||
\(460\) | 0.0965585 | + | 0.902628i | 0.00450207 | + | 0.0420852i | ||||
\(461\) | −25.4553 | −1.18557 | −0.592785 | − | 0.805360i | \(-0.701972\pi\) | ||||
−0.592785 | + | 0.805360i | \(0.701972\pi\) | |||||||
\(462\) | 3.61360 | − | 2.15767i | 0.168120 | − | 0.100384i | ||||
\(463\) | − | 6.76939i | − | 0.314600i | −0.987551 | − | 0.157300i | \(-0.949721\pi\) | ||
0.987551 | − | 0.157300i | \(-0.0502790\pi\) | |||||||
\(464\) | −22.8034 | + | 20.6856i | −1.05862 | + | 0.960304i | ||||
\(465\) | −0.209370 | + | 0.120880i | −0.00970928 | + | 0.00560565i | ||||
\(466\) | 24.2486 | − | 1.29330i | 1.12329 | − | 0.0599112i | ||||
\(467\) | 18.0857 | + | 10.4418i | 0.836908 | + | 0.483189i | 0.856212 | − | 0.516625i | \(-0.172812\pi\) |
−0.0193043 | + | 0.999814i | \(0.506145\pi\) | |||||||
\(468\) | −11.0797 | − | 15.1907i | −0.512158 | − | 0.702190i | ||||
\(469\) | −1.31432 | + | 2.08617i | −0.0606897 | + | 0.0963302i | ||||
\(470\) | −6.89156 | + | 13.5564i | −0.317884 | + | 0.625312i | ||||
\(471\) | −8.39613 | − | 4.84751i | −0.386873 | − | 0.223361i | ||||
\(472\) | −12.2476 | + | 9.97429i | −0.563740 | + | 0.459104i | ||||
\(473\) | 1.07944 | + | 1.86964i | 0.0496325 | + | 0.0859660i | ||||
\(474\) | 7.71455 | + | 11.8553i | 0.354341 | + | 0.544534i | ||||
\(475\) | − | 2.45721i | − | 0.112745i | ||||||
\(476\) | 7.57417 | − | 5.08855i | 0.347162 | − | 0.233233i | ||||
\(477\) | 18.8929i | 0.865047i | ||||||||
\(478\) | 26.7521 | − | 17.4082i | 1.22361 | − | 0.796235i | ||||
\(479\) | 1.45807 | + | 2.52546i | 0.0666211 | + | 0.115391i | 0.897412 | − | 0.441194i | \(-0.145445\pi\) |
−0.830791 | + | 0.556585i | \(0.812111\pi\) | |||||||
\(480\) | −4.95569 | − | 1.30334i | −0.226195 | − | 0.0594891i | ||||
\(481\) | 18.3272 | + | 10.5812i | 0.835647 | + | 0.482461i | ||||
\(482\) | 3.63070 | + | 1.84571i | 0.165374 | + | 0.0840696i | ||||
\(483\) | −0.507142 | − | 0.962355i | −0.0230758 | − | 0.0437887i | ||||
\(484\) | 11.1469 | + | 15.2828i | 0.506676 | + | 0.694674i | ||||
\(485\) | 3.40232 | + | 1.96433i | 0.154491 | + | 0.0891956i | ||||
\(486\) | 1.21629 | + | 22.8046i | 0.0551720 | + | 1.03444i | ||||
\(487\) | −10.0582 | + | 5.80712i | −0.455782 | + | 0.263146i | −0.710269 | − | 0.703930i | \(-0.751427\pi\) |
0.254487 | + | 0.967076i | \(0.418093\pi\) | |||||||
\(488\) | 0.931684 | − | 2.44740i | 0.0421754 | − | 0.110788i | ||||
\(489\) | − | 22.7298i | − | 1.02788i | ||||||
\(490\) | −5.15335 | + | 8.45239i | −0.232805 | + | 0.381840i | ||||
\(491\) | −2.26191 | −0.102079 | −0.0510393 | − | 0.998697i | \(-0.516253\pi\) | ||||
−0.0510393 | + | 0.998697i | \(0.516253\pi\) | |||||||
\(492\) | 22.1038 | − | 2.36455i | 0.996515 | − | 0.106602i | ||||
\(493\) | 6.63639 | + | 11.4946i | 0.298888 | + | 0.517689i | ||||
\(494\) | −0.798331 | − | 14.9682i | −0.0359186 | − | 0.673449i | ||||
\(495\) | 1.35318 | − | 2.34377i | 0.0608207 | − | 0.105345i | ||||
\(496\) | 0.326134 | − | 1.01652i | 0.0146439 | − | 0.0456431i | ||||
\(497\) | −19.5689 | + | 10.3124i | −0.877785 | + | 0.462575i | ||||
\(498\) | −4.92948 | + | 9.69680i | −0.220895 | + | 0.434524i | ||||
\(499\) | 11.8706 | − | 20.5606i | 0.531403 | − | 0.920417i | −0.467925 | − | 0.883768i | \(-0.654998\pi\) |
0.999328 | − | 0.0366488i | \(-0.0116683\pi\) | |||||||
\(500\) | −0.810092 | + | 1.82859i | −0.0362284 | + | 0.0817771i | ||||
\(501\) | 5.04511 | − | 2.91280i | 0.225399 | − | 0.130134i | ||||
\(502\) | 14.6674 | − | 9.54439i | 0.654636 | − | 0.425987i | ||||
\(503\) | −11.0460 | −0.492515 | −0.246258 | − | 0.969204i | \(-0.579201\pi\) | ||||
−0.246258 | + | 0.969204i | \(0.579201\pi\) | |||||||
\(504\) | −16.1898 | + | 1.97275i | −0.721149 | + | 0.0878733i | ||||
\(505\) | 9.65888 | 0.429814 | ||||||||
\(506\) | −0.668086 | + | 0.434739i | −0.0297000 | + | 0.0193265i | ||||
\(507\) | 4.39789 | − | 2.53912i | 0.195317 | − | 0.112766i | ||||
\(508\) | 9.47719 | + | 4.19853i | 0.420482 | + | 0.186280i | ||||
\(509\) | 20.3574 | − | 35.2600i | 0.902325 | − | 1.56287i | 0.0778561 | − | 0.996965i | \(-0.475193\pi\) |
0.824469 | − | 0.565908i | \(-0.191474\pi\) | |||||||
\(510\) | −1.00108 | + | 1.96923i | −0.0443285 | + | 0.0871988i | ||||
\(511\) | −16.0769 | − | 10.1287i | −0.711201 | − | 0.448069i | ||||
\(512\) | 20.0750 | − | 10.4401i | 0.887196 | − | 0.461392i | ||||
\(513\) | −5.76433 | + | 9.98410i | −0.254501 | + | 0.440809i | ||||
\(514\) | −0.425949 | − | 7.98624i | −0.0187878 | − | 0.352258i | ||||
\(515\) | −3.82962 | − | 6.63310i | −0.168753 | − | 0.292289i | ||||
\(516\) | 0.335029 | + | 3.13185i | 0.0147488 | + | 0.137872i | ||||
\(517\) | −13.3531 | −0.587269 | ||||||||
\(518\) | 15.7611 | − | 9.41094i | 0.692504 | − | 0.413493i | ||||
\(519\) | 1.96705i | 0.0863438i | ||||||||
\(520\) | −4.34060 | + | 11.4021i | −0.190348 | + | 0.500016i | ||||
\(521\) | −27.7740 | + | 16.0353i | −1.21680 | + | 0.702519i | −0.964232 | − | 0.265060i | \(-0.914608\pi\) |
−0.252567 | + | 0.967579i | \(0.581275\pi\) | |||||||
\(522\) | −1.26351 | − | 23.6899i | −0.0553023 | − | 1.03688i | ||||
\(523\) | −18.8270 | − | 10.8698i | −0.823246 | − | 0.475301i | 0.0282888 | − | 0.999600i | \(-0.490994\pi\) |
−0.851534 | + | 0.524299i | \(0.824328\pi\) | |||||||
\(524\) | −21.9331 | + | 15.9974i | −0.958153 | + | 0.698850i | ||||
\(525\) | 0.0924882 | − | 2.39485i | 0.00403652 | − | 0.104520i | ||||
\(526\) | 12.5575 | + | 6.38375i | 0.547534 | + | 0.278345i | ||||
\(527\) | −0.398569 | − | 0.230114i | −0.0173619 | − | 0.0100239i | ||||
\(528\) | −0.951744 | − | 4.39754i | −0.0414193 | − | 0.191378i | ||||
\(529\) | −11.3970 | − | 19.7402i | −0.495521 | − | 0.858268i | ||||
\(530\) | 10.2754 | − | 6.68642i | 0.446333 | − | 0.290439i | ||||
\(531\) | − | 12.1711i | − | 0.528179i | ||||||
\(532\) | −11.6759 | − | 5.72139i | −0.506214 | − | 0.248054i | ||||
\(533\) | − | 52.9276i | − | 2.29255i | ||||||
\(534\) | 5.57834 | + | 8.57252i | 0.241398 | + | 0.370969i | ||||
\(535\) | 8.44757 | + | 14.6316i | 0.365220 | + | 0.632580i | ||||
\(536\) | 1.66451 | + | 2.04388i | 0.0718959 | + | 0.0882820i | ||||
\(537\) | −17.8640 | − | 10.3138i | −0.770887 | − | 0.445072i | ||||
\(538\) | 12.5328 | − | 24.6534i | 0.540328 | − | 1.06288i | ||||
\(539\) | −8.66642 | − | 0.670389i | −0.373289 | − | 0.0288757i | ||||
\(540\) | 7.58122 | − | 5.52953i | 0.326244 | − | 0.237953i | ||||
\(541\) | 10.7162 | + | 6.18701i | 0.460726 | + | 0.266000i | 0.712349 | − | 0.701825i | \(-0.247631\pi\) |
−0.251624 | + | 0.967825i | \(0.580964\pi\) | |||||||
\(542\) | −45.5349 | + | 2.42862i | −1.95589 | + | 0.104318i | ||||
\(543\) | −15.9131 | + | 9.18742i | −0.682895 | + | 0.394270i | ||||
\(544\) | −2.56827 | − | 9.41062i | −0.110114 | − | 0.403477i | ||||
\(545\) | 9.16163i | 0.392441i | ||||||||
\(546\) | −0.214676 | − | 14.6183i | −0.00918727 | − | 0.625606i | ||||
\(547\) | −31.3301 | −1.33958 | −0.669790 | − | 0.742551i | \(-0.733616\pi\) | ||||
−0.669790 | + | 0.742551i | \(0.733616\pi\) | |||||||
\(548\) | 25.7297 | − | 2.75243i | 1.09912 | − | 0.117578i | ||||
\(549\) | 1.00894 | + | 1.74753i | 0.0430604 | + | 0.0745828i | ||||
\(550\) | −1.75362 | + | 0.0935299i | −0.0747746 | + | 0.00398813i | ||||
\(551\) | 9.45652 | − | 16.3792i | 0.402861 | − | 0.697776i | ||||
\(552\) | −1.14809 | + | 0.185106i | −0.0488658 | + | 0.00787864i | ||||
\(553\) | 1.12733 | − | 29.1905i | 0.0479389 | − | 1.24131i | ||||
\(554\) | −22.3232 | − | 11.3482i | −0.948420 | − | 0.482140i | ||||
\(555\) | −2.22208 | + | 3.84875i | −0.0943220 | + | 0.163371i | ||||
\(556\) | −32.5539 | − | 14.4219i | −1.38059 | − | 0.611623i | ||||
\(557\) | 10.6869 | − | 6.17008i | 0.452818 | − | 0.261434i | −0.256202 | − | 0.966623i | \(-0.582471\pi\) |
0.709020 | + | 0.705189i | \(0.249138\pi\) | |||||||
\(558\) | 0.448662 | + | 0.689482i | 0.0189934 | + | 0.0291881i | ||||
\(559\) | 7.49924 | 0.317184 | ||||||||
\(560\) | 6.80267 | + | 8.10701i | 0.287465 | + | 0.342584i | ||||
\(561\) | −1.93969 | −0.0818938 | ||||||||
\(562\) | 3.10359 | + | 4.76944i | 0.130917 | + | 0.201187i | ||||
\(563\) | −1.58551 | + | 0.915395i | −0.0668213 | + | 0.0385793i | −0.533038 | − | 0.846091i | \(-0.678950\pi\) |
0.466217 | + | 0.884670i | \(0.345617\pi\) | |||||||
\(564\) | −17.8121 | − | 7.89100i | −0.750024 | − | 0.332271i | ||||
\(565\) | −10.2024 | + | 17.6710i | −0.429217 | + | 0.743425i | ||||
\(566\) | 23.9170 | + | 12.1585i | 1.00531 | + | 0.511058i | ||||
\(567\) | 3.22730 | − | 5.12255i | 0.135534 | − | 0.215127i | ||||
\(568\) | 3.76402 | + | 23.3456i | 0.157935 | + | 0.979561i | ||||
\(569\) | −0.0498347 | + | 0.0863162i | −0.00208918 | + | 0.00361856i | −0.867068 | − | 0.498190i | \(-0.833998\pi\) |
0.864979 | + | 0.501808i | \(0.167332\pi\) | |||||||
\(570\) | 3.14335 | − | 0.167652i | 0.131661 | − | 0.00702215i | ||||
\(571\) | 12.9796 | + | 22.4813i | 0.543178 | + | 0.940812i | 0.998719 | + | 0.0505976i | \(0.0161126\pi\) |
−0.455541 | + | 0.890215i | \(0.650554\pi\) | |||||||
\(572\) | −10.6518 | + | 1.13948i | −0.445375 | + | 0.0476440i | ||||
\(573\) | −1.52586 | −0.0637437 | ||||||||
\(574\) | −40.0931 | − | 22.3693i | −1.67345 | − | 0.933677i | ||||
\(575\) | 0.453889i | 0.0189285i | ||||||||
\(576\) | −3.53036 | + | 17.0744i | −0.147098 | + | 0.711435i | ||||
\(577\) | 1.28600 | − | 0.742473i | 0.0535369 | − | 0.0309096i | −0.472993 | − | 0.881066i | \(-0.656826\pi\) |
0.526530 | + | 0.850157i | \(0.323493\pi\) | |||||||
\(578\) | 19.8081 | − | 1.05647i | 0.823910 | − | 0.0439435i | ||||
\(579\) | 19.3450 | + | 11.1688i | 0.803950 | + | 0.464161i | ||||
\(580\) | −12.4372 | + | 9.07133i | −0.516425 | + | 0.376667i | ||||
\(581\) | 19.8751 | − | 10.4738i | 0.824557 | − | 0.434526i | ||||
\(582\) | −2.28071 | + | 4.48639i | −0.0945383 | + | 0.185967i | ||||
\(583\) | 9.32223 | + | 5.38219i | 0.386087 | + | 0.222908i | ||||
\(584\) | −15.7510 | + | 12.8275i | −0.651782 | + | 0.530804i | ||||
\(585\) | −4.70051 | − | 8.14152i | −0.194342 | − | 0.336610i | ||||
\(586\) | −8.01002 | − | 12.3094i | −0.330891 | − | 0.508497i | ||||
\(587\) | − | 31.1081i | − | 1.28397i | −0.766717 | − | 0.641985i | \(-0.778111\pi\) | ||
0.766717 | − | 0.641985i | \(-0.221889\pi\) | |||||||
\(588\) | −11.1642 | − | 6.01566i | −0.460404 | − | 0.248082i | ||||
\(589\) | 0.655802i | 0.0270219i | ||||||||
\(590\) | −6.61952 | + | 4.30748i | −0.272521 | + | 0.177336i | ||||
\(591\) | 0.753830 | + | 1.30567i | 0.0310084 | + | 0.0537081i | ||||
\(592\) | −4.15114 | − | 19.1804i | −0.170611 | − | 0.788308i | ||||
\(593\) | −8.02645 | − | 4.63407i | −0.329607 | − | 0.190299i | 0.326060 | − | 0.945349i | \(-0.394279\pi\) |
−0.655667 | + | 0.755051i | \(0.727612\pi\) | |||||||
\(594\) | 7.34469 | + | 3.73376i | 0.301356 | + | 0.153198i | ||||
\(595\) | 4.03623 | − | 2.12701i | 0.165469 | − | 0.0871991i | ||||
\(596\) | 23.7234 | − | 17.3032i | 0.971747 | − | 0.708766i | ||||
\(597\) | −10.0367 | − | 5.79467i | −0.410773 | − | 0.237160i | ||||
\(598\) | 0.147465 | + | 2.76487i | 0.00603031 | + | 0.113064i | ||||
\(599\) | −3.48534 | + | 2.01226i | −0.142407 | + | 0.0822188i | −0.569511 | − | 0.821984i | \(-0.692867\pi\) |
0.427104 | + | 0.904203i | \(0.359534\pi\) | |||||||
\(600\) | −2.39447 | − | 0.911537i | −0.0977539 | − | 0.0372133i | ||||
\(601\) | − | 23.8545i | − | 0.973047i | −0.873667 | − | 0.486524i | \(-0.838265\pi\) | ||
0.873667 | − | 0.486524i | \(-0.161735\pi\) | |||||||
\(602\) | 3.16947 | − | 5.68073i | 0.129178 | − | 0.231529i | ||||
\(603\) | −2.03111 | −0.0827131 | ||||||||
\(604\) | 3.66059 | + | 34.2191i | 0.148947 | + | 1.39236i | ||||
\(605\) | 4.72902 | + | 8.19090i | 0.192262 | + | 0.333007i | ||||
\(606\) | 0.659010 | + | 12.3560i | 0.0267705 | + | 0.501928i | ||||
\(607\) | −18.6259 | + | 32.2611i | −0.756003 | + | 1.30944i | 0.188871 | + | 0.982002i | \(0.439517\pi\) |
−0.944874 | + | 0.327434i | \(0.893816\pi\) | |||||||
\(608\) | −9.78328 | + | 9.87419i | −0.396764 | + | 0.400451i | ||||
\(609\) | 9.83302 | − | 15.6075i | 0.398454 | − | 0.632449i | ||||
\(610\) | 0.593362 | − | 1.16721i | 0.0240245 | − | 0.0472588i | ||||
\(611\) | −23.1923 | + | 40.1702i | −0.938258 | + | 1.62511i | ||||
\(612\) | 6.87237 | + | 3.04456i | 0.277799 | + | 0.123069i | ||||
\(613\) | −6.65132 | + | 3.84014i | −0.268644 | + | 0.155102i | −0.628271 | − | 0.777994i | \(-0.716237\pi\) |
0.359627 | + | 0.933096i | \(0.382904\pi\) | |||||||
\(614\) | 25.4218 | − | 16.5426i | 1.02594 | − | 0.667604i | ||||
\(615\) | 11.1149 | 0.448198 | ||||||||
\(616\) | −3.63872 | + | 8.55043i | −0.146608 | + | 0.344507i | ||||
\(617\) | −27.6806 | −1.11438 | −0.557189 | − | 0.830386i | \(-0.688120\pi\) | ||||
−0.557189 | + | 0.830386i | \(0.688120\pi\) | |||||||
\(618\) | 8.22400 | − | 5.35155i | 0.330818 | − | 0.215271i | ||||
\(619\) | 25.7376 | − | 14.8596i | 1.03448 | − | 0.597258i | 0.116216 | − | 0.993224i | \(-0.462923\pi\) |
0.918265 | + | 0.395966i | \(0.129590\pi\) | |||||||
\(620\) | 0.216205 | − | 0.488031i | 0.00868298 | − | 0.0195998i | ||||
\(621\) | 1.06477 | − | 1.84424i | 0.0427277 | − | 0.0740066i | ||||
\(622\) | 5.09799 | − | 10.0283i | 0.204411 | − | 0.402098i | ||||
\(623\) | 0.815164 | − | 21.1075i | 0.0326589 | − | 0.845653i | ||||
\(624\) | −14.8821 | − | 4.77470i | −0.595762 | − | 0.191141i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0.786314 | + | 14.7428i | 0.0314274 | + | 0.589242i | ||||
\(627\) | 1.38198 | + | 2.39366i | 0.0551910 | + | 0.0955936i | ||||
\(628\) | 21.2841 | − | 2.27687i | 0.849328 | − | 0.0908568i | ||||
\(629\) | −8.46019 | −0.337330 | ||||||||
\(630\) | −8.15388 | + | 0.119743i | −0.324858 | + | 0.00477067i | ||||
\(631\) | 1.25766i | 0.0500665i | 0.999687 | + | 0.0250332i | \(0.00796916\pi\) | ||||
−0.999687 | + | 0.0250332i | \(0.992031\pi\) | |||||||
\(632\) | −29.1859 | − | 11.1106i | −1.16095 | − | 0.441956i | ||||
\(633\) | −13.1878 | + | 7.61400i | −0.524170 | + | 0.302629i | ||||
\(634\) | 0.510035 | + | 9.56280i | 0.0202561 | + | 0.379787i | ||||
\(635\) | 4.48842 | + | 2.59139i | 0.178117 | + | 0.102836i | ||||
\(636\) | 9.25458 | + | 12.6884i | 0.366968 | + | 0.503128i | ||||
\(637\) | −17.0689 | + | 24.9068i | −0.676296 | + | 0.986845i | ||||
\(638\) | −12.0492 | − | 6.12532i | −0.477031 | − | 0.242504i | ||||
\(639\) | −15.7801 | − | 9.11067i | −0.624253 | − | 0.360412i | ||||
\(640\) | 10.5358 | − | 4.12277i | 0.416463 | − | 0.162967i | ||||
\(641\) | 24.7738 | + | 42.9096i | 0.978508 | + | 1.69483i | 0.667836 | + | 0.744309i | \(0.267221\pi\) |
0.310672 | + | 0.950517i | \(0.399446\pi\) | |||||||
\(642\) | −18.1409 | + | 11.8047i | −0.715965 | + | 0.465895i | ||||
\(643\) | 44.6117i | 1.75931i | 0.475608 | + | 0.879657i | \(0.342228\pi\) | ||||
−0.475608 | + | 0.879657i | \(0.657772\pi\) | |||||||
\(644\) | 2.15674 | + | 1.05684i | 0.0849874 | + | 0.0416453i | ||||
\(645\) | 1.57486i | 0.0620100i | ||||||||
\(646\) | 3.26834 | + | 5.02262i | 0.128591 | + | 0.197612i | ||||
\(647\) | 16.9430 | + | 29.3462i | 0.666098 | + | 1.15372i | 0.978986 | + | 0.203926i | \(0.0653703\pi\) |
−0.312888 | + | 0.949790i | \(0.601296\pi\) | |||||||
\(648\) | −4.08718 | − | 5.01871i | −0.160560 | − | 0.197154i | ||||
\(649\) | −6.00550 | − | 3.46728i | −0.235736 | − | 0.136103i | ||||
\(650\) | −2.76440 | + | 5.43786i | −0.108429 | + | 0.213290i | ||||
\(651\) | −0.0246841 | + | 0.639158i | −0.000967445 | + | 0.0250506i | ||||
\(652\) | 29.5730 | + | 40.5458i | 1.15817 | + | 1.58790i | ||||
\(653\) | −31.0838 | − | 17.9462i | −1.21640 | − | 0.702291i | −0.252256 | − | 0.967660i | \(-0.581173\pi\) |
−0.964147 | + | 0.265370i | \(0.914506\pi\) | |||||||
\(654\) | −11.7199 | + | 0.625084i | −0.458284 | + | 0.0244427i | ||||
\(655\) | −11.7551 | + | 6.78684i | −0.459312 | + | 0.265184i | ||||
\(656\) | −36.3527 | + | 32.9764i | −1.41933 | + | 1.28751i | ||||
\(657\) | − | 15.6526i | − | 0.610667i | ||||||
\(658\) | 20.6272 | + | 34.5458i | 0.804133 | + | 1.34673i | ||||
\(659\) | −2.82512 | −0.110051 | −0.0550255 | − | 0.998485i | \(-0.517524\pi\) | ||||
−0.0550255 | + | 0.998485i | \(0.517524\pi\) | |||||||
\(660\) | −0.239293 | − | 2.23691i | −0.00931449 | − | 0.0870717i | ||||
\(661\) | −8.31035 | − | 14.3939i | −0.323235 | − | 0.559860i | 0.657919 | − | 0.753089i | \(-0.271437\pi\) |
−0.981154 | + | 0.193230i | \(0.938104\pi\) | |||||||
\(662\) | −15.8112 | + | 0.843297i | −0.614521 | + | 0.0327757i | ||||
\(663\) | −3.36894 | + | 5.83517i | −0.130839 | + | 0.226619i | ||||
\(664\) | −3.82291 | − | 23.7109i | −0.148358 | − | 0.920162i | ||||
\(665\) | −5.50054 | − | 3.46544i | −0.213302 | − | 0.134384i | ||||
\(666\) | 13.4798 | + | 6.85262i | 0.522333 | + | 0.265534i | ||||
\(667\) | −1.74678 | + | 3.02551i | −0.0676356 | + | 0.117148i | ||||
\(668\) | −5.20981 | + | 11.7599i | −0.201574 | + | 0.455005i | ||||
\(669\) | 18.7250 | − | 10.8109i | 0.723949 | − | 0.417972i | ||||
\(670\) | 0.718832 | + | 1.10467i | 0.0277709 | + | 0.0426770i | ||||
\(671\) | 1.14970 | 0.0443837 | ||||||||
\(672\) | −9.90664 | + | 9.25535i | −0.382157 | + | 0.357033i | ||||
\(673\) | −28.1914 | −1.08670 | −0.543349 | − | 0.839507i | \(-0.682844\pi\) | ||||
−0.543349 | + | 0.839507i | \(0.682844\pi\) | |||||||
\(674\) | −18.8907 | − | 29.0303i | −0.727643 | − | 1.11821i | ||||
\(675\) | 4.06319 | − | 2.34588i | 0.156392 | − | 0.0902930i | ||||
\(676\) | −4.54146 | + | 10.2513i | −0.174672 | + | 0.394280i | ||||
\(677\) | 12.3523 | − | 21.3947i | 0.474736 | − | 0.822266i | −0.524846 | − | 0.851197i | \(-0.675877\pi\) |
0.999581 | + | 0.0289312i | \(0.00921037\pi\) | |||||||
\(678\) | −23.3015 | − | 11.8456i | −0.894888 | − | 0.454926i | ||||
\(679\) | 9.19555 | − | 4.84587i | 0.352893 | − | 0.185968i | ||||
\(680\) | −0.776357 | − | 4.81521i | −0.0297719 | − | 0.184655i | ||||
\(681\) | −3.51349 | + | 6.08554i | −0.134637 | + | 0.233198i | ||||
\(682\) | 0.468022 | − | 0.0249621i | 0.0179215 | − | 0.000955847i | ||||
\(683\) | 1.55667 | + | 2.69624i | 0.0595645 | + | 0.103169i | 0.894270 | − | 0.447528i | \(-0.147695\pi\) |
−0.834706 | + | 0.550697i | \(0.814362\pi\) | |||||||
\(684\) | −1.13928 | − | 10.6500i | −0.0435615 | − | 0.407212i | ||||
\(685\) | 12.9383 | 0.494345 | ||||||||
\(686\) | 11.6531 | + | 23.4565i | 0.444917 | + | 0.895572i | ||||
\(687\) | 4.44207i | 0.169475i | ||||||||
\(688\) | −4.67238 | − | 5.15075i | −0.178133 | − | 0.196371i | ||||
\(689\) | 32.3825 | − | 18.6960i | 1.23367 | − | 0.712262i | ||||
\(690\) | −0.580631 | + | 0.0309681i | −0.0221042 | + | 0.00117894i | ||||
\(691\) | −17.8344 | − | 10.2967i | −0.678451 | − | 0.391704i | 0.120820 | − | 0.992674i | \(-0.461448\pi\) |
−0.799271 | + | 0.600970i | \(0.794781\pi\) | |||||||
\(692\) | −2.55926 | − | 3.50886i | −0.0972886 | − | 0.133387i | ||||
\(693\) | −3.33820 | − | 6.33457i | −0.126808 | − | 0.240631i | ||||
\(694\) | 10.5253 | − | 20.7043i | 0.399534 | − | 0.785925i | ||||
\(695\) | −15.4176 | − | 8.90137i | −0.584824 | − | 0.337648i | ||||
\(696\) | −12.4529 | − | 15.2912i | −0.472028 | − | 0.579610i | ||||
\(697\) | 10.5796 | + | 18.3243i | 0.400729 | + | 0.694084i | ||||
\(698\) | 0.147789 | + | 0.227116i | 0.00559391 | + | 0.00859646i | ||||
\(699\) | 15.5539i | 0.588304i | ||||||||
\(700\) | 2.95088 | + | 4.39230i | 0.111533 | + | 0.166013i | ||||
\(701\) | − | 3.67022i | − | 0.138622i | −0.997595 | − | 0.0693111i | \(-0.977920\pi\) | ||
0.997595 | − | 0.0693111i | \(-0.0220801\pi\) | |||||||
\(702\) | 23.9888 | − | 15.6101i | 0.905400 | − | 0.589165i | ||||
\(703\) | 6.02767 | + | 10.4402i | 0.227338 | + | 0.393761i | ||||
\(704\) | 7.41923 | + | 6.60612i | 0.279623 | + | 0.248978i | ||||
\(705\) | −8.43584 | − | 4.87043i | −0.317712 | − | 0.183431i | ||||
\(706\) | 28.1791 | + | 14.3252i | 1.06054 | + | 0.539135i | ||||
\(707\) | 13.6220 | − | 21.6217i | 0.512310 | − | 0.813167i | ||||
\(708\) | −5.96192 | − | 8.17403i | −0.224063 | − | 0.307199i | ||||
\(709\) | 2.73543 | + | 1.57930i | 0.102731 | + | 0.0593118i | 0.550485 | − | 0.834845i | \(-0.314443\pi\) |
−0.447754 | + | 0.894157i | \(0.647776\pi\) | |||||||
\(710\) | 0.629718 | + | 11.8068i | 0.0236329 | + | 0.443100i | ||||
\(711\) | 20.8398 | − | 12.0319i | 0.781554 | − | 0.451231i | ||||
\(712\) | −21.1042 | − | 8.03402i | −0.790913 | − | 0.301088i | ||||
\(713\) | − | 0.121138i | − | 0.00453665i | ||||||
\(714\) | 2.99634 | + | 5.01817i | 0.112135 | + | 0.187800i | ||||
\(715\) | −5.35630 | −0.200314 | ||||||||
\(716\) | 45.2850 | − | 4.84436i | 1.69238 | − | 0.181042i | ||||
\(717\) | 10.2220 | + | 17.7050i | 0.381748 | + | 0.661206i | ||||
\(718\) | −1.78075 | − | 33.3878i | −0.0664569 | − | 1.24602i | ||||
\(719\) | −10.8001 | + | 18.7063i | −0.402775 | + | 0.697626i | −0.994060 | − | 0.108837i | \(-0.965287\pi\) |
0.591285 | + | 0.806463i | \(0.298621\pi\) | |||||||
\(720\) | −2.66326 | + | 8.30103i | −0.0992537 | + | 0.309361i | ||||
\(721\) | −20.2493 | − | 0.782023i | −0.754125 | − | 0.0291241i | ||||
\(722\) | −8.30708 | + | 16.3409i | −0.309158 | + | 0.608146i | ||||
\(723\) | −1.30440 | + | 2.25929i | −0.0485113 | + | 0.0840241i | ||||
\(724\) | 16.4326 | − | 37.0927i | 0.610711 | − | 1.37854i | ||||
\(725\) | −6.66576 | + | 3.84848i | −0.247560 | + | 0.142929i | ||||
\(726\) | −10.1554 | + | 6.60838i | −0.376904 | + | 0.245260i | ||||
\(727\) | −48.4533 | −1.79703 | −0.898516 | − | 0.438941i | \(-0.855354\pi\) | ||||
−0.898516 | + | 0.438941i | \(0.855354\pi\) | |||||||
\(728\) | 19.4024 | + | 25.7971i | 0.719099 | + | 0.956104i | ||||
\(729\) | −7.76263 | −0.287505 | ||||||||
\(730\) | −8.51305 | + | 5.53964i | −0.315082 | + | 0.205031i | ||||
\(731\) | −2.59635 | + | 1.49900i | −0.0960294 | + | 0.0554426i | ||||
\(732\) | 1.53362 | + | 0.679413i | 0.0566841 | + | 0.0251118i | ||||
\(733\) | −7.62984 | + | 13.2153i | −0.281814 | + | 0.488117i | −0.971832 | − | 0.235676i | \(-0.924270\pi\) |
0.690017 | + | 0.723793i | \(0.257603\pi\) | |||||||
\(734\) | −11.5373 | + | 22.6951i | −0.425850 | + | 0.837693i | ||||
\(735\) | −5.23050 | − | 3.58452i | −0.192930 | − | 0.132217i | ||||
\(736\) | 1.80714 | − | 1.82393i | 0.0666121 | − | 0.0672310i | ||||
\(737\) | −0.578619 | + | 1.00220i | −0.0213137 | + | 0.0369165i | ||||
\(738\) | −2.01426 | − | 37.7659i | −0.0741458 | − | 1.39018i | ||||
\(739\) | 3.14394 | + | 5.44547i | 0.115652 | + | 0.200315i | 0.918040 | − | 0.396488i | \(-0.129771\pi\) |
−0.802388 | + | 0.596802i | \(0.796438\pi\) | |||||||
\(740\) | −1.04371 | − | 9.75655i | −0.0383674 | − | 0.358658i | ||||
\(741\) | 9.60113 | 0.352706 | ||||||||
\(742\) | −0.476271 | − | 32.4316i | −0.0174845 | − | 1.19060i | ||||
\(743\) | − | 32.4205i | − | 1.18939i | −0.803950 | − | 0.594697i | \(-0.797272\pi\) | ||
0.803950 | − | 0.594697i | \(-0.202728\pi\) | |||||||
\(744\) | 0.639058 | + | 0.243279i | 0.0234290 | + | 0.00891904i | ||||
\(745\) | 12.7146 | − | 7.34080i | 0.465829 | − | 0.268946i | ||||
\(746\) | −1.87600 | − | 35.1737i | −0.0686852 | − | 1.28780i | ||||
\(747\) | 16.0270 | + | 9.25322i | 0.586399 | + | 0.338558i | ||||
\(748\) | 3.46005 | − | 2.52367i | 0.126512 | − | 0.0922745i | ||||
\(749\) | 44.6670 | + | 1.72503i | 1.63210 | + | 0.0630311i | ||||
\(750\) | −1.14196 | − | 0.580530i | −0.0416987 | − | 0.0211980i | ||||
\(751\) | −36.4730 | − | 21.0577i | −1.33092 | − | 0.768406i | −0.345477 | − | 0.938427i | \(-0.612283\pi\) |
−0.985440 | + | 0.170022i | \(0.945616\pi\) | |||||||
\(752\) | 42.0402 | − | 9.09862i | 1.53305 | − | 0.331792i | ||||
\(753\) | 5.60440 | + | 9.70710i | 0.204236 | + | 0.353747i | ||||
\(754\) | −39.3543 | + | 25.6087i | −1.43320 | + | 0.932615i | ||||
\(755\) | 17.2072i | 0.626233i | ||||||||
\(756\) | −1.68614 | − | 24.7692i | −0.0613242 | − | 0.900845i | ||||
\(757\) | 14.3036i | 0.519875i | 0.965625 | + | 0.259937i | \(0.0837019\pi\) | ||||
−0.965625 | + | 0.259937i | \(0.916298\pi\) | |||||||
\(758\) | −3.02021 | − | 4.64131i | −0.109699 | − | 0.168580i | ||||
\(759\) | −0.255276 | − | 0.442150i | −0.00926592 | − | 0.0160490i | ||||
\(760\) | −5.38904 | + | 4.38877i | −0.195481 | + | 0.159198i | ||||
\(761\) | 11.5548 | + | 6.67119i | 0.418862 | + | 0.241830i | 0.694590 | − | 0.719405i | \(-0.255586\pi\) |
−0.275728 | + | 0.961236i | \(0.588919\pi\) | |||||||
\(762\) | −3.00876 | + | 5.91855i | −0.108996 | + | 0.214406i | ||||
\(763\) | 20.5086 | + | 12.9208i | 0.742460 | + | 0.467763i | ||||
\(764\) | 2.72186 | − | 1.98525i | 0.0984733 | − | 0.0718238i | ||||
\(765\) | 3.25477 | + | 1.87914i | 0.117676 | + | 0.0679405i | ||||
\(766\) | 23.3634 | − | 1.24609i | 0.844152 | − | 0.0450231i | ||||
\(767\) | −20.8612 | + | 12.0442i | −0.753255 | + | 0.434892i | ||||
\(768\) | 5.99284 | + | 13.1965i | 0.216248 | + | 0.476186i | ||||
\(769\) | 16.2042i | 0.584338i | 0.956367 | + | 0.292169i | \(0.0943770\pi\) | ||||
−0.956367 | + | 0.292169i | \(0.905623\pi\) | |||||||
\(770\) | −2.26378 | + | 4.05744i | −0.0815811 | + | 0.146220i | ||||
\(771\) | 5.12267 | 0.184489 | ||||||||
\(772\) | −49.0393 | + | 5.24598i | −1.76496 | + | 0.188807i | ||||
\(773\) | 6.10743 | + | 10.5784i | 0.219669 | + | 0.380478i | 0.954707 | − | 0.297548i | \(-0.0961689\pi\) |
−0.735038 | + | 0.678026i | \(0.762836\pi\) | |||||||
\(774\) | 5.35100 | − | 0.285397i | 0.192338 | − | 0.0102584i | ||||
\(775\) | 0.133444 | − | 0.231133i | 0.00479347 | − | 0.00830253i | ||||
\(776\) | −1.76874 | − | 10.9703i | −0.0634939 | − | 0.393809i | ||||
\(777\) | 5.48173 | + | 10.4021i | 0.196656 | + | 0.373175i | ||||
\(778\) | 25.9895 | + | 13.2120i | 0.931769 | + | 0.473675i | ||||
\(779\) | 15.0753 | − | 26.1113i | 0.540130 | − | 0.935533i | ||||
\(780\) | −7.14492 | − | 3.16530i | −0.255829 | − | 0.113336i | ||||
\(781\) | −8.99086 | + | 5.19087i | −0.321718 | + | 0.185744i | ||||
\(782\) | −0.603718 | − | 0.927764i | −0.0215889 | − | 0.0331768i | ||||
\(783\) | 36.1123 | 1.29055 | ||||||||
\(784\) | 27.7417 | − | 3.79456i | 0.990775 | − | 0.135520i | ||||
\(785\) | 10.7028 | 0.381998 | ||||||||
\(786\) | −9.48400 | − | 14.5746i | −0.338283 | − | 0.519857i | ||||
\(787\) | 12.7062 | − | 7.33592i | 0.452927 | − | 0.261497i | −0.256139 | − | 0.966640i | \(-0.582450\pi\) |
0.709065 | + | 0.705143i | \(0.249117\pi\) | |||||||
\(788\) | −3.04346 | − | 1.34830i | −0.108419 | − | 0.0480310i | ||||
\(789\) | −4.51155 | + | 7.81424i | −0.160616 | + | 0.278194i | ||||
\(790\) | −13.9193 | − | 7.07602i | −0.495226 | − | 0.251753i | ||||
\(791\) | 25.1686 | + | 47.7600i | 0.894891 | + | 1.69815i | ||||
\(792\) | −7.55713 | + | 1.21844i | −0.268531 | + | 0.0432953i | ||||
\(793\) | 1.99685 | − | 3.45864i | 0.0709101 | − | 0.122820i | ||||
\(794\) | −26.7184 | + | 1.42503i | −0.948199 | + | 0.0505725i | ||||
\(795\) | 3.92622 | + | 6.80041i | 0.139249 | + | 0.241186i | ||||
\(796\) | 25.4428 | − | 2.72174i | 0.901797 | − | 0.0964696i | ||||
\(797\) | 32.6214 | 1.15551 | 0.577754 | − | 0.816211i | \(-0.303929\pi\) | ||||
0.577754 | + | 0.816211i | \(0.303929\pi\) | |||||||
\(798\) | 4.05782 | − | 7.27293i | 0.143645 | − | 0.257459i | ||||
\(799\) | − | 18.5433i | − | 0.656016i | ||||||
\(800\) | 5.45727 | − | 1.48936i | 0.192944 | − | 0.0526567i | ||||
\(801\) | 15.0691 | − | 8.70018i | 0.532442 | − | 0.307406i | ||||
\(802\) | 4.90514 | − | 0.261617i | 0.173207 | − | 0.00923803i | ||||
\(803\) | −7.72339 | − | 4.45910i | −0.272552 | − | 0.157358i | ||||
\(804\) | −1.36408 | + | 0.994925i | −0.0481075 | + | 0.0350883i | ||||
\(805\) | 1.01604 | + | 0.640125i | 0.0358108 | + | 0.0225615i | ||||
\(806\) | 0.737786 | − | 1.45130i | 0.0259874 | − | 0.0511200i | ||||
\(807\) | 15.3412 | + | 8.85724i | 0.540036 | + | 0.311790i | ||||
\(808\) | −17.2515 | − | 21.1834i | −0.606907 | − | 0.745229i | ||||
\(809\) | 10.4784 | + | 18.1491i | 0.368400 | + | 0.638087i | 0.989316 | − | 0.145790i | \(-0.0465724\pi\) |
−0.620916 | + | 0.783877i | \(0.713239\pi\) | |||||||
\(810\) | −1.76508 | − | 2.71249i | −0.0620187 | − | 0.0953073i | ||||
\(811\) | − | 41.5111i | − | 1.45765i | −0.684699 | − | 0.728826i | \(-0.740066\pi\) | ||
0.684699 | − | 0.728826i | \(-0.259934\pi\) | |||||||
\(812\) | 2.76615 | + | 40.6344i | 0.0970727 | + | 1.42599i | ||||
\(813\) | − | 29.2078i | − | 1.02436i | ||||||
\(814\) | 7.22137 | − | 4.69912i | 0.253109 | − | 0.164704i | ||||
\(815\) | 12.5462 | + | 21.7307i | 0.439475 | + | 0.761193i | ||||
\(816\) | 6.10682 | − | 1.32168i | 0.213781 | − | 0.0462680i | ||||
\(817\) | 3.69967 | + | 2.13600i | 0.129435 | + | 0.0747293i | ||||
\(818\) | −29.7691 | − | 15.1334i | −1.04085 | − | 0.529128i | ||||
\(819\) | −24.8542 | − | 0.959862i | −0.868477 | − | 0.0335403i | ||||
\(820\) | −19.8270 | + | 14.4613i | −0.692390 | + | 0.505010i | ||||
\(821\) | 20.2501 | + | 11.6914i | 0.706734 | + | 0.408033i | 0.809850 | − | 0.586636i | \(-0.199548\pi\) |
−0.103117 | + | 0.994669i | \(0.532882\pi\) | |||||||
\(822\) | 0.882757 | + | 16.5511i | 0.0307897 | + | 0.577285i | ||||
\(823\) | 13.6126 | − | 7.85923i | 0.474505 | − | 0.273956i | −0.243619 | − | 0.969871i | \(-0.578335\pi\) |
0.718124 | + | 0.695915i | \(0.245001\pi\) | |||||||
\(824\) | −7.70739 | + | 20.2462i | −0.268500 | + | 0.705309i | ||||
\(825\) | − | 1.12484i | − | 0.0391618i | ||||||
\(826\) | 0.306820 | + | 20.8929i | 0.0106756 | + | 0.726956i | ||||
\(827\) | −34.6724 | −1.20568 | −0.602838 | − | 0.797864i | \(-0.705963\pi\) | ||||
−0.602838 | + | 0.797864i | \(0.705963\pi\) | |||||||
\(828\) | 0.210445 | + | 1.96723i | 0.00731345 | + | 0.0683661i | ||||
\(829\) | 15.5301 | + | 26.8989i | 0.539383 | + | 0.934238i | 0.998937 | + | 0.0460889i | \(0.0146757\pi\) |
−0.459555 | + | 0.888150i | \(0.651991\pi\) | |||||||
\(830\) | −0.639571 | − | 11.9915i | −0.0221998 | − | 0.416231i | ||||
\(831\) | 8.02006 | − | 13.8912i | 0.278213 | − | 0.481879i | ||||
\(832\) | 32.7592 | − | 10.8455i | 1.13572 | − | 0.375999i | ||||
\(833\) | 0.930962 | − | 12.0350i | 0.0322559 | − | 0.416987i | ||||
\(834\) | 10.3350 | − | 20.3301i | 0.357873 | − | 0.703974i | ||||
\(835\) | −3.21557 | + | 5.56953i | −0.111279 | + | 0.192741i | ||||
\(836\) | −5.57952 | − | 2.47180i | −0.192972 | − | 0.0854891i | ||||
\(837\) | −1.08442 | + | 0.626090i | −0.0374830 | + | 0.0216408i | ||||
\(838\) | 8.64815 | − | 5.62755i | 0.298745 | − | 0.194401i | ||||
\(839\) | −16.3946 | −0.566003 | −0.283002 | − | 0.959119i | \(-0.591330\pi\) | ||||
−0.283002 | + | 0.959119i | \(0.591330\pi\) | |||||||
\(840\) | −5.41746 | + | 4.07455i | −0.186920 | + | 0.140585i | ||||
\(841\) | −30.2431 | −1.04287 | ||||||||
\(842\) | −7.96051 | + | 5.18009i | −0.274337 | + | 0.178518i | ||||
\(843\) | −3.15650 | + | 1.82240i | −0.108715 | + | 0.0627669i | ||||
\(844\) | 13.6184 | − | 30.7403i | 0.468763 | − | 1.05812i | ||||
\(845\) | −2.80305 | + | 4.85503i | −0.0964279 | + | 0.167018i | ||||
\(846\) | −15.0198 | + | 29.5456i | −0.516392 | + | 1.01580i | ||||
\(847\) | 25.0050 | + | 0.965684i | 0.859181 | + | 0.0331813i | ||||
\(848\) | −33.0170 | − | 10.5930i | −1.13381 | − | 0.363764i | ||||
\(849\) | −8.59268 | + | 14.8830i | −0.294900 | + | 0.510782i | ||||
\(850\) | −0.129884 | − | 2.43524i | −0.00445498 | − | 0.0835279i | ||||
\(851\) | −1.11341 | − | 1.92849i | −0.0381673 | − | 0.0661078i | ||||
\(852\) | −15.0607 | + | 1.61112i | −0.515971 | + | 0.0551959i | ||||
\(853\) | 43.9900 | 1.50619 | 0.753095 | − | 0.657911i | \(-0.228560\pi\) | ||||
0.753095 | + | 0.657911i | \(0.228560\pi\) | |||||||
\(854\) | −1.77600 | − | 2.97438i | −0.0607734 | − | 0.101781i | ||||
\(855\) | − | 5.35537i | − | 0.183150i | ||||||
\(856\) | 17.0013 | − | 44.6600i | 0.581094 | − | 1.52645i | ||||
\(857\) | 19.8887 | − | 11.4827i | 0.679384 | − | 0.392242i | −0.120239 | − | 0.992745i | \(-0.538366\pi\) |
0.799623 | + | 0.600503i | \(0.205033\pi\) | |||||||
\(858\) | −0.365452 | − | 6.85197i | −0.0124763 | − | 0.233923i | ||||
\(859\) | −0.419174 | − | 0.242010i | −0.0143020 | − | 0.00825728i | 0.492832 | − | 0.870125i | \(-0.335962\pi\) |
−0.507134 | + | 0.861867i | \(0.669295\pi\) | |||||||
\(860\) | −2.04900 | − | 2.80926i | −0.0698703 | − | 0.0957950i | ||||
\(861\) | 15.6756 | − | 24.8811i | 0.534221 | − | 0.847947i | ||||
\(862\) | 42.7044 | + | 21.7092i | 1.45452 | + | 0.739420i | ||||
\(863\) | 9.39498 | + | 5.42419i | 0.319809 | + | 0.184642i | 0.651307 | − | 0.758814i | \(-0.274221\pi\) |
−0.331499 | + | 0.943456i | \(0.607554\pi\) | |||||||
\(864\) | −25.6678 | − | 6.75059i | −0.873235 | − | 0.229660i | ||||
\(865\) | −1.08576 | − | 1.88059i | −0.0369168 | − | 0.0639419i | ||||
\(866\) | 17.6220 | − | 11.4670i | 0.598820 | − | 0.389666i | ||||
\(867\) | 12.7057i | 0.431508i | ||||||||
\(868\) | −0.787556 | − | 1.17226i | −0.0267314 | − | 0.0397890i | ||||
\(869\) | − | 13.7105i | − | 0.465097i | ||||||
\(870\) | −5.37790 | − | 8.26450i | −0.182328 | − | 0.280193i | ||||
\(871\) | 2.00994 | + | 3.48132i | 0.0681043 | + | 0.117960i | ||||
\(872\) | 20.0929 | − | 16.3634i | 0.680430 | − | 0.554134i | ||||
\(873\) | 7.41519 | + | 4.28116i | 0.250966 | + | 0.144895i | ||||
\(874\) | −0.714767 | + | 1.40602i | −0.0241774 | + | 0.0475594i | ||||
\(875\) | 1.23347 | + | 2.34063i | 0.0416988 | + | 0.0791278i | ||||
\(876\) | −7.66734 | − | 10.5122i | −0.259055 | − | 0.355176i | ||||
\(877\) | −36.4411 | − | 21.0393i | −1.23053 | − | 0.710446i | −0.263388 | − | 0.964690i | \(-0.584840\pi\) |
−0.967140 | + | 0.254244i | \(0.918173\pi\) | |||||||
\(878\) | 17.5788 | − | 0.937572i | 0.593257 | − | 0.0316415i | ||||
\(879\) | 8.14658 | − | 4.70343i | 0.274777 | − | 0.158643i | ||||
\(880\) | 3.33723 | + | 3.67891i | 0.112498 | + | 0.124016i | ||||
\(881\) | 30.9141i | 1.04152i | 0.853702 | + | 0.520762i | \(0.174352\pi\) | ||||
−0.853702 | + | 0.520762i | \(0.825648\pi\) | |||||||
\(882\) | −11.2315 | + | 18.4216i | −0.378183 | + | 0.620287i | ||||
\(883\) | 6.07978 | 0.204601 | 0.102300 | − | 0.994754i | \(-0.467380\pi\) | ||||
0.102300 | + | 0.994754i | \(0.467380\pi\) | |||||||
\(884\) | −1.58238 | − | 14.7921i | −0.0532213 | − | 0.497512i | ||||
\(885\) | −2.52932 | − | 4.38091i | −0.0850221 | − | 0.147263i | ||||
\(886\) | 14.5853 | − | 0.777913i | 0.490003 | − | 0.0261345i | ||||
\(887\) | 24.0789 | − | 41.7059i | 0.808492 | − | 1.40035i | −0.105417 | − | 0.994428i | \(-0.533618\pi\) |
0.913908 | − | 0.405920i | \(-0.133049\pi\) | |||||||
\(888\) | 12.4097 | − | 2.00082i | 0.416443 | − | 0.0671431i | ||||
\(889\) | 12.1310 | − | 6.39279i | 0.406860 | − | 0.214407i | ||||
\(890\) | −10.0649 | − | 5.11662i | −0.337378 | − | 0.171510i | ||||
\(891\) | 1.42079 | − | 2.46089i | 0.0475984 | − | 0.0824428i | ||||
\(892\) | −19.3363 | + | 43.6471i | −0.647426 | + | 1.46141i | ||||
\(893\) | −22.8833 | + | 13.2117i | −0.765760 | + | 0.442111i | ||||
\(894\) | 10.2581 | + | 15.7642i | 0.343083 | + | 0.527233i | ||||
\(895\) | 22.7717 | 0.761173 | ||||||||
\(896\) | 5.62981 | − | 29.3991i | 0.188079 | − | 0.982154i | ||||
\(897\) | −1.77349 | −0.0592152 | ||||||||
\(898\) | −14.3923 | − | 22.1174i | −0.480278 | − | 0.738067i | ||||
\(899\) | 1.77902 | − | 1.02712i | 0.0593335 | − | 0.0342562i | ||||
\(900\) | −1.76556 | + | 3.98533i | −0.0588518 | + | 0.132844i | ||||
\(901\) | −7.47420 | + | 12.9457i | −0.249002 | + | 0.431283i | ||||
\(902\) | −19.2085 | − | 9.76483i | −0.639572 | − | 0.325133i | ||||
\(903\) | 3.52537 | + | 2.22105i | 0.117317 | + | 0.0739118i | ||||
\(904\) | 56.9775 | − | 9.18649i | 1.89504 | − | 0.305538i | ||||
\(905\) | 10.1424 | − | 17.5672i | 0.337145 | − | 0.583952i | ||||
\(906\) | −22.0120 | + | 1.17402i | −0.731301 | + | 0.0390041i | ||||
\(907\) | −7.12984 | − | 12.3493i | −0.236743 | − | 0.410050i | 0.723035 | − | 0.690811i | \(-0.242746\pi\) |
−0.959778 | + | 0.280761i | \(0.909413\pi\) | |||||||
\(908\) | −1.65028 | − | 15.4268i | −0.0547664 | − | 0.511955i | ||||
\(909\) | 21.0510 | 0.698219 | ||||||||
\(910\) | 8.27415 | + | 13.8573i | 0.274285 | + | 0.459364i | ||||
\(911\) | 37.4662i | 1.24131i | 0.784083 | + | 0.620656i | \(0.213134\pi\) | ||||
−0.784083 | + | 0.620656i | \(0.786866\pi\) | |||||||
\(912\) | −5.98196 | − | 6.59441i | −0.198083 | − | 0.218363i | ||||
\(913\) | 9.13153 | − | 5.27209i | 0.302210 | − | 0.174481i | ||||
\(914\) | −15.9858 | + | 0.852609i | −0.528764 | + | 0.0282018i | ||||
\(915\) | 0.726324 | + | 0.419343i | 0.0240115 | + | 0.0138631i | ||||
\(916\) | −5.77943 | − | 7.92383i | −0.190958 | − | 0.261811i | ||||
\(917\) | −1.38590 | + | 35.8858i | −0.0457664 | + | 1.18505i | ||||
\(918\) | −5.18503 | + | 10.1995i | −0.171132 | + | 0.336634i | ||||
\(919\) | 34.5077 | + | 19.9230i | 1.13830 | + | 0.657200i | 0.946010 | − | 0.324138i | \(-0.105074\pi\) |
0.192293 | + | 0.981338i | \(0.438408\pi\) | |||||||
\(920\) | 0.995448 | − | 0.810682i | 0.0328189 | − | 0.0267274i | ||||
\(921\) | 9.71368 | + | 16.8246i | 0.320077 | + | 0.554389i | ||||
\(922\) | 19.6345 | + | 30.1733i | 0.646628 | + | 0.993706i | ||||
\(923\) | 36.0629i | 1.18703i | ||||||||
\(924\) | −5.34487 | − | 2.61908i | −0.175833 | − | 0.0861614i | ||||
\(925\) | − | 4.90611i | − | 0.161312i | ||||||
\(926\) | −8.02407 | + | 5.22145i | −0.263687 | + | 0.171587i | ||||
\(927\) | −8.34647 | − | 14.4565i | −0.274134 | − | 0.474814i | ||||
\(928\) | 42.1086 | + | 11.0745i | 1.38228 | + | 0.363538i | ||||
\(929\) | −3.03847 | − | 1.75426i | −0.0996889 | − | 0.0575554i | 0.449327 | − | 0.893368i | \(-0.351664\pi\) |
−0.549016 | + | 0.835812i | \(0.684997\pi\) | |||||||
\(930\) | 0.304778 | + | 0.154937i | 0.00999405 | + | 0.00508059i | ||||
\(931\) | −15.5150 | + | 7.42577i | −0.508483 | + | 0.243370i | ||||
\(932\) | −20.2367 | − | 27.7454i | −0.662876 | − | 0.908830i | ||||
\(933\) | 6.24036 | + | 3.60288i | 0.204300 | + | 0.117953i | ||||
\(934\) | −1.57296 | − | 29.4919i | −0.0514689 | − | 0.965006i | ||||
\(935\) | 1.85443 | − | 1.07066i | 0.0606464 | − | 0.0350142i | ||||
\(936\) | −9.46012 | + | 24.8503i | −0.309214 | + | 0.812258i | ||||
\(937\) | 50.3147i | 1.64371i | 0.569696 | + | 0.821855i | \(0.307061\pi\) | ||||
−0.569696 | + | 0.821855i | \(0.692939\pi\) | |||||||
\(938\) | 3.48661 | − | 0.0512022i | 0.113842 | − | 0.00167181i | ||||
\(939\) | −9.45661 | −0.308605 | ||||||||
\(940\) | 21.3848 | − | 2.28763i | 0.697494 | − | 0.0746143i | ||||
\(941\) | −16.9244 | − | 29.3139i | −0.551719 | − | 0.955605i | −0.998151 | − | 0.0607871i | \(-0.980639\pi\) |
0.446432 | − | 0.894817i | \(-0.352694\pi\) | |||||||
\(942\) | 0.730233 | + | 13.6914i | 0.0237923 | + | 0.446089i | ||||
\(943\) | −2.78467 | + | 4.82320i | −0.0906815 | + | 0.157065i | ||||
\(944\) | 21.2699 | + | 6.82412i | 0.692278 | + | 0.222106i | ||||
\(945\) | 0.479038 | − | 12.4040i | 0.0155831 | − | 0.403502i | ||||
\(946\) | 1.38356 | − | 2.72162i | 0.0449835 | − | 0.0884874i | ||||
\(947\) | 1.28323 | − | 2.22263i | 0.0416995 | − | 0.0722256i | −0.844422 | − | 0.535678i | \(-0.820056\pi\) |
0.886122 | + | 0.463452i | \(0.153389\pi\) | |||||||
\(948\) | 8.10220 | − | 18.2888i | 0.263147 | − | 0.593993i | ||||
\(949\) | −26.8286 | + | 15.4895i | −0.870894 | + | 0.502811i | ||||
\(950\) | −2.91265 | + | 1.89533i | −0.0944987 | + | 0.0614925i | ||||
\(951\) | −6.13393 | −0.198906 | ||||||||
\(952\) | −11.8739 | − | 5.05305i | −0.384835 | − | 0.163770i | ||||
\(953\) | −2.53946 | −0.0822613 | −0.0411306 | − | 0.999154i | \(-0.513096\pi\) | ||||
−0.0411306 | + | 0.999154i | \(0.513096\pi\) | |||||||
\(954\) | 22.3946 | − | 14.5727i | 0.725053 | − | 0.471809i | ||||
\(955\) | 1.45879 | − | 0.842233i | 0.0472054 | − | 0.0272540i | ||||
\(956\) | −41.2696 | − | 18.2830i | −1.33475 | − | 0.591315i | ||||
\(957\) | 4.32891 | − | 7.49789i | 0.139934 | − | 0.242372i | ||||
\(958\) | 1.86888 | − | 3.67629i | 0.0603808 | − | 0.118775i | ||||
\(959\) | 18.2470 | − | 28.9627i | 0.589226 | − | 0.935254i | ||||
\(960\) | 2.27758 | + | 6.87952i | 0.0735085 | + | 0.222036i | ||||
\(961\) | 15.4644 | − | 26.7851i | 0.498851 | − | 0.864036i | ||||
\(962\) | −1.59396 | − | 29.8857i | −0.0513914 | − | 0.963553i | ||||
\(963\) | 18.4111 | + | 31.8889i | 0.593288 | + | 1.02760i | ||||
\(964\) | −0.612676 | − | 5.72729i | −0.0197330 | − | 0.184464i | ||||
\(965\) | −24.6596 | −0.793819 | ||||||||
\(966\) | −0.749548 | + | 1.34343i | −0.0241163 | + | 0.0432243i | ||||
\(967\) | − | 12.3398i | − | 0.396821i | −0.980119 | − | 0.198410i | \(-0.936422\pi\) | ||
0.980119 | − | 0.198410i | \(-0.0635779\pi\) | |||||||
\(968\) | 9.51749 | − | 25.0011i | 0.305904 | − | 0.803564i | ||||
\(969\) | −3.32405 | + | 1.91914i | −0.106784 | + | 0.0616518i | ||||
\(970\) | −0.295908 | − | 5.54808i | −0.00950105 | − | 0.178138i | ||||
\(971\) | 5.46696 | + | 3.15635i | 0.175443 | + | 0.101292i | 0.585150 | − | 0.810925i | \(-0.301036\pi\) |
−0.409707 | + | 0.912217i | \(0.634369\pi\) | |||||||
\(972\) | 26.0931 | − | 19.0316i | 0.836938 | − | 0.610440i | ||||
\(973\) | −41.6696 | + | 21.9591i | −1.33587 | + | 0.703976i | ||||
\(974\) | 14.6417 | + | 7.44326i | 0.469150 | + | 0.238498i | ||||
\(975\) | −3.38385 | − | 1.95367i | −0.108370 | − | 0.0625674i | ||||
\(976\) | −3.61965 | + | 0.783389i | −0.115862 | + | 0.0250757i | ||||
\(977\) | −5.33460 | − | 9.23979i | −0.170669 | − | 0.295607i | 0.767985 | − | 0.640468i | \(-0.221260\pi\) |
−0.938654 | + | 0.344861i | \(0.887926\pi\) | |||||||
\(978\) | −26.9427 | + | 17.5322i | −0.861531 | + | 0.560619i | ||||
\(979\) | − | 9.91399i | − | 0.316852i | ||||||
\(980\) | 13.9940 | − | 0.411102i | 0.447021 | − | 0.0131322i | ||||
\(981\) | 19.9673i | 0.637507i | ||||||||
\(982\) | 1.74468 | + | 2.68115i | 0.0556751 | + | 0.0855588i | ||||
\(983\) | 7.67846 | + | 13.2995i | 0.244905 | + | 0.424188i | 0.962105 | − | 0.272680i | \(-0.0879100\pi\) |
−0.717200 | + | 0.696867i | \(0.754577\pi\) | |||||||
\(984\) | −19.8522 | − | 24.3768i | −0.632864 | − | 0.777103i | ||||
\(985\) | −1.44139 | − | 0.832187i | −0.0459265 | − | 0.0265157i | ||||
\(986\) | 8.50617 | − | 16.7325i | 0.270892 | − | 0.532873i | ||||
\(987\) | −22.7998 | + | 12.0150i | −0.725725 | + | 0.382443i | ||||
\(988\) | −17.1267 | + | 12.4917i | −0.544872 | + | 0.397415i | ||||
\(989\) | −0.683392 | − | 0.394556i | −0.0217306 | − | 0.0125462i | ||||
\(990\) | −3.82193 | + | 0.203844i | −0.121469 | + | 0.00647858i | ||||
\(991\) | 20.0575 | − | 11.5802i | 0.637148 | − | 0.367857i | −0.146367 | − | 0.989230i | \(-0.546758\pi\) |
0.783515 | + | 0.621373i | \(0.213425\pi\) | |||||||
\(992\) | −1.45649 | + | 0.397492i | −0.0462434 | + | 0.0126204i | ||||
\(993\) | − | 10.1419i | − | 0.321844i | ||||||
\(994\) | 27.3179 | + | 15.2416i | 0.866472 | + | 0.483434i | ||||
\(995\) | 12.7940 | 0.405597 | ||||||||
\(996\) | 15.2963 | − | 1.63632i | 0.484683 | − | 0.0518489i | ||||
\(997\) | 4.75443 | + | 8.23492i | 0.150574 | + | 0.260803i | 0.931439 | − | 0.363898i | \(-0.118554\pi\) |
−0.780864 | + | 0.624701i | \(0.785221\pi\) | |||||||
\(998\) | −33.5276 | + | 1.78820i | −1.06130 | + | 0.0566046i | ||||
\(999\) | −11.5092 | + | 19.9344i | −0.364133 | + | 0.630698i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 280.2.bj.f.131.4 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.271.6 | 24 | |||
7.3 | odd | 6 | 280.2.bj.e.171.12 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.131.12 | ✓ | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.271.6 | 24 | |||
28.3 | even | 6 | 1120.2.bz.f.591.6 | 24 | |||
56.3 | even | 6 | inner | 280.2.bj.f.171.4 | yes | 24 | |
56.45 | odd | 6 | 1120.2.bz.e.591.6 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.12 | ✓ | 24 | 8.3 | odd | 2 | ||
280.2.bj.e.171.12 | yes | 24 | 7.3 | odd | 6 | ||
280.2.bj.f.131.4 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.171.4 | yes | 24 | 56.3 | even | 6 | inner | |
1120.2.bz.e.271.6 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.e.591.6 | 24 | 56.45 | odd | 6 | |||
1120.2.bz.f.271.6 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.591.6 | 24 | 28.3 | even | 6 |