Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.5 | ||
Character | \(\chi\) | \(=\) | 546.19 |
Dual form | 546.2.by.b.115.5 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 3.90903 | − | 1.04742i | 1.74817 | − | 0.468421i | 0.763936 | − | 0.645292i | \(-0.223264\pi\) |
0.984234 | + | 0.176872i | \(0.0565978\pi\) | |||||||
\(6\) | −0.258819 | + | 0.965926i | −0.105662 | + | 0.394338i | ||||
\(7\) | −1.71472 | − | 2.01488i | −0.648104 | − | 0.761552i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −4.04692 | −1.27975 | ||||||||
\(11\) | −3.58587 | − | 3.58587i | −1.08118 | − | 1.08118i | −0.996400 | − | 0.0847806i | \(-0.972981\pi\) |
−0.0847806 | − | 0.996400i | \(-0.527019\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −2.15689 | − | 2.88926i | −0.598213 | − | 0.801337i | ||||
\(14\) | 1.13481 | + | 2.39002i | 0.303290 | + | 0.638761i | ||||
\(15\) | −1.04742 | − | 3.90903i | −0.270443 | − | 1.00931i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.48117 | + | 4.29751i | −0.601772 | + | 1.04230i | 0.390780 | + | 0.920484i | \(0.372205\pi\) |
−0.992553 | + | 0.121816i | \(0.961128\pi\) | |||||||
\(18\) | 0.965926 | + | 0.258819i | 0.227671 | + | 0.0610042i | ||||
\(19\) | 1.02617 | + | 1.02617i | 0.235419 | + | 0.235419i | 0.814950 | − | 0.579531i | \(-0.196764\pi\) |
−0.579531 | + | 0.814950i | \(0.696764\pi\) | |||||||
\(20\) | 3.90903 | + | 1.04742i | 0.874085 | + | 0.234210i | ||||
\(21\) | −2.01488 | + | 1.71472i | −0.439682 | + | 0.374183i | ||||
\(22\) | 2.53559 | + | 4.39177i | 0.540590 | + | 0.936330i | ||||
\(23\) | 4.70481 | − | 2.71632i | 0.981020 | − | 0.566392i | 0.0784420 | − | 0.996919i | \(-0.475005\pi\) |
0.902578 | + | 0.430527i | \(0.141672\pi\) | |||||||
\(24\) | −0.707107 | + | 0.707107i | −0.144338 | + | 0.144338i | ||||
\(25\) | 9.85327 | − | 5.68879i | 1.97065 | − | 1.13776i | ||||
\(26\) | 1.33560 | + | 3.34906i | 0.261933 | + | 0.656804i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −0.477555 | − | 2.60230i | −0.0902494 | − | 0.491788i | ||||
\(29\) | −4.24486 | + | 7.35231i | −0.788250 | + | 1.36529i | 0.138788 | + | 0.990322i | \(0.455679\pi\) |
−0.927038 | + | 0.374967i | \(0.877654\pi\) | |||||||
\(30\) | 4.04692i | 0.738863i | ||||||||
\(31\) | 1.06592 | − | 3.97807i | 0.191445 | − | 0.714483i | −0.801714 | − | 0.597709i | \(-0.796078\pi\) |
0.993159 | − | 0.116774i | \(-0.0372553\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | −3.58587 | + | 3.58587i | −0.624220 | + | 0.624220i | ||||
\(34\) | 3.50891 | − | 3.50891i | 0.601772 | − | 0.601772i | ||||
\(35\) | −8.81332 | − | 6.08017i | −1.48972 | − | 1.02774i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | −0.202220 | + | 0.754695i | −0.0332448 | + | 0.124071i | −0.980554 | − | 0.196249i | \(-0.937124\pi\) |
0.947309 | + | 0.320320i | \(0.103791\pi\) | |||||||
\(38\) | −0.725610 | − | 1.25679i | −0.117709 | − | 0.203879i | ||||
\(39\) | −2.88926 | + | 2.15689i | −0.462652 | + | 0.345379i | ||||
\(40\) | −3.50474 | − | 2.02346i | −0.554148 | − | 0.319937i | ||||
\(41\) | −3.46045 | + | 0.927225i | −0.540431 | + | 0.144808i | −0.518701 | − | 0.854956i | \(-0.673584\pi\) |
−0.0217304 | + | 0.999764i | \(0.506918\pi\) | |||||||
\(42\) | 2.39002 | − | 1.13481i | 0.368789 | − | 0.175104i | ||||
\(43\) | 8.45709 | − | 4.88270i | 1.28969 | − | 0.744605i | 0.311095 | − | 0.950379i | \(-0.399304\pi\) |
0.978600 | + | 0.205773i | \(0.0659710\pi\) | |||||||
\(44\) | −1.31252 | − | 4.89839i | −0.197870 | − | 0.738460i | ||||
\(45\) | −3.90903 | + | 1.04742i | −0.582723 | + | 0.156140i | ||||
\(46\) | −5.24753 | + | 1.40607i | −0.773706 | + | 0.207314i | ||||
\(47\) | −0.761269 | − | 2.84109i | −0.111043 | − | 0.414416i | 0.887918 | − | 0.460002i | \(-0.152151\pi\) |
−0.998960 | + | 0.0455856i | \(0.985485\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | −1.11945 | + | 6.90991i | −0.159922 | + | 0.987130i | ||||
\(50\) | −10.9899 | + | 2.94473i | −1.55421 | + | 0.416448i | ||||
\(51\) | 4.29751 | + | 2.48117i | 0.601772 | + | 0.347433i | ||||
\(52\) | −0.423290 | − | 3.58062i | −0.0586998 | − | 0.496542i | ||||
\(53\) | 2.08448 | + | 3.61043i | 0.286325 | + | 0.495930i | 0.972930 | − | 0.231101i | \(-0.0742328\pi\) |
−0.686604 | + | 0.727031i | \(0.740899\pi\) | |||||||
\(54\) | 0.258819 | − | 0.965926i | 0.0352208 | − | 0.131446i | ||||
\(55\) | −17.7732 | − | 10.2613i | −2.39653 | − | 1.38364i | ||||
\(56\) | −0.212241 | + | 2.63722i | −0.0283619 | + | 0.352414i | ||||
\(57\) | 1.02617 | − | 1.02617i | 0.135919 | − | 0.135919i | ||||
\(58\) | 6.00313 | − | 6.00313i | 0.788250 | − | 0.788250i | ||||
\(59\) | 0.242102 | + | 0.903539i | 0.0315191 | + | 0.117631i | 0.979893 | − | 0.199523i | \(-0.0639394\pi\) |
−0.948374 | + | 0.317154i | \(0.897273\pi\) | |||||||
\(60\) | 1.04742 | − | 3.90903i | 0.135221 | − | 0.504653i | ||||
\(61\) | − | 12.1085i | − | 1.55034i | −0.631753 | − | 0.775170i | \(-0.717664\pi\) | ||
0.631753 | − | 0.775170i | \(-0.282336\pi\) | |||||||
\(62\) | −2.05920 | + | 3.56664i | −0.261519 | + | 0.452964i | ||||
\(63\) | 1.71472 | + | 2.01488i | 0.216035 | + | 0.253851i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −11.4576 | − | 9.03503i | −1.42114 | − | 1.12066i | ||||
\(66\) | 4.39177 | − | 2.53559i | 0.540590 | − | 0.312110i | ||||
\(67\) | 6.50338 | − | 6.50338i | 0.794514 | − | 0.794514i | −0.187710 | − | 0.982224i | \(-0.560107\pi\) |
0.982224 | + | 0.187710i | \(0.0601066\pi\) | |||||||
\(68\) | −4.29751 | + | 2.48117i | −0.521150 | + | 0.300886i | ||||
\(69\) | −2.71632 | − | 4.70481i | −0.327007 | − | 0.566392i | ||||
\(70\) | 6.93935 | + | 8.15405i | 0.829411 | + | 0.974595i | ||||
\(71\) | −4.28503 | − | 1.14817i | −0.508540 | − | 0.136263i | −0.00457912 | − | 0.999990i | \(-0.501458\pi\) |
−0.503960 | + | 0.863727i | \(0.668124\pi\) | |||||||
\(72\) | 0.707107 | + | 0.707107i | 0.0833333 | + | 0.0833333i | ||||
\(73\) | 12.8347 | + | 3.43906i | 1.50219 | + | 0.402511i | 0.913833 | − | 0.406089i | \(-0.133108\pi\) |
0.588358 | + | 0.808600i | \(0.299774\pi\) | |||||||
\(74\) | 0.390659 | − | 0.676641i | 0.0454132 | − | 0.0786579i | ||||
\(75\) | −5.68879 | − | 9.85327i | −0.656884 | − | 1.13776i | ||||
\(76\) | 0.375603 | + | 1.40177i | 0.0430847 | + | 0.160794i | ||||
\(77\) | −1.07631 | + | 13.3739i | −0.122657 | + | 1.52409i | ||||
\(78\) | 3.34906 | − | 1.33560i | 0.379206 | − | 0.151227i | ||||
\(79\) | 1.32924 | − | 2.30231i | 0.149551 | − | 0.259030i | −0.781511 | − | 0.623892i | \(-0.785551\pi\) |
0.931062 | + | 0.364862i | \(0.118884\pi\) | |||||||
\(80\) | 2.86161 | + | 2.86161i | 0.319937 | + | 0.319937i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 3.58252 | 0.395623 | ||||||||
\(83\) | 1.02375 | + | 1.02375i | 0.112371 | + | 0.112371i | 0.761056 | − | 0.648686i | \(-0.224681\pi\) |
−0.648686 | + | 0.761056i | \(0.724681\pi\) | |||||||
\(84\) | −2.60230 | + | 0.477555i | −0.283934 | + | 0.0521055i | ||||
\(85\) | −5.19766 | + | 19.3979i | −0.563765 | + | 2.10400i | ||||
\(86\) | −9.43266 | + | 2.52747i | −1.01715 | + | 0.272545i | ||||
\(87\) | 7.35231 | + | 4.24486i | 0.788250 | + | 0.455096i | ||||
\(88\) | 5.07118i | 0.540590i | ||||||||
\(89\) | 6.18200 | + | 1.65646i | 0.655291 | + | 0.175585i | 0.571120 | − | 0.820867i | \(-0.306509\pi\) |
0.0841709 | + | 0.996451i | \(0.473176\pi\) | |||||||
\(90\) | 4.04692 | 0.426583 | ||||||||
\(91\) | −2.12304 | + | 9.30015i | −0.222555 | + | 0.974920i | ||||
\(92\) | 5.43264 | 0.566392 | ||||||||
\(93\) | −3.97807 | − | 1.06592i | −0.412507 | − | 0.110531i | ||||
\(94\) | 2.94132i | 0.303374i | ||||||||
\(95\) | 5.08614 | + | 2.93649i | 0.521827 | + | 0.301277i | ||||
\(96\) | −0.965926 | + | 0.258819i | −0.0985844 | + | 0.0264156i | ||||
\(97\) | 2.62347 | − | 9.79094i | 0.266374 | − | 0.994119i | −0.695031 | − | 0.718980i | \(-0.744609\pi\) |
0.961404 | − | 0.275139i | \(-0.0887240\pi\) | |||||||
\(98\) | 2.86972 | − | 6.38472i | 0.289886 | − | 0.644954i | ||||
\(99\) | 3.58587 | + | 3.58587i | 0.360393 | + | 0.360393i | ||||
\(100\) | 11.3776 | 1.13776 | ||||||||
\(101\) | 3.92532 | 0.390584 | 0.195292 | − | 0.980745i | \(-0.437435\pi\) | ||||
0.195292 | + | 0.980745i | \(0.437435\pi\) | |||||||
\(102\) | −3.50891 | − | 3.50891i | −0.347433 | − | 0.347433i | ||||
\(103\) | −3.52526 | + | 6.10594i | −0.347355 | + | 0.601636i | −0.985779 | − | 0.168049i | \(-0.946253\pi\) |
0.638424 | + | 0.769685i | \(0.279587\pi\) | |||||||
\(104\) | −0.517865 | + | 3.56817i | −0.0507808 | + | 0.349888i | ||||
\(105\) | −6.08017 | + | 8.81332i | −0.593364 | + | 0.860092i | ||||
\(106\) | −1.07901 | − | 4.02691i | −0.104802 | − | 0.391128i | ||||
\(107\) | 3.96798 | + | 6.87275i | 0.383599 | + | 0.664413i | 0.991574 | − | 0.129543i | \(-0.0413511\pi\) |
−0.607975 | + | 0.793957i | \(0.708018\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 2.77491 | + | 0.743535i | 0.265788 | + | 0.0712177i | 0.389252 | − | 0.921131i | \(-0.372734\pi\) |
−0.123464 | + | 0.992349i | \(0.539400\pi\) | |||||||
\(110\) | 14.5117 | + | 14.5117i | 1.38364 | + | 1.38364i | ||||
\(111\) | 0.754695 | + | 0.202220i | 0.0716325 | + | 0.0191939i | ||||
\(112\) | 0.887573 | − | 2.49243i | 0.0838678 | − | 0.235513i | ||||
\(113\) | −4.74902 | − | 8.22554i | −0.446750 | − | 0.773793i | 0.551422 | − | 0.834226i | \(-0.314085\pi\) |
−0.998172 | + | 0.0604327i | \(0.980752\pi\) | |||||||
\(114\) | −1.25679 | + | 0.725610i | −0.117709 | + | 0.0679596i | ||||
\(115\) | 15.5461 | − | 15.5461i | 1.44968 | − | 1.44968i | ||||
\(116\) | −7.35231 | + | 4.24486i | −0.682644 | + | 0.394125i | ||||
\(117\) | 2.15689 | + | 2.88926i | 0.199404 | + | 0.267112i | ||||
\(118\) | − | 0.935412i | − | 0.0861117i | ||||||
\(119\) | 12.9135 | − | 2.36979i | 1.18378 | − | 0.217238i | ||||
\(120\) | −2.02346 | + | 3.50474i | −0.184716 | + | 0.319937i | ||||
\(121\) | 14.7169i | 1.33790i | ||||||||
\(122\) | −3.13392 | + | 11.6960i | −0.283732 | + | 1.05890i | ||||
\(123\) | 0.927225 | + | 3.46045i | 0.0836050 | + | 0.312018i | ||||
\(124\) | 2.91215 | − | 2.91215i | 0.261519 | − | 0.261519i | ||||
\(125\) | 18.2501 | − | 18.2501i | 1.63234 | − | 1.63234i | ||||
\(126\) | −1.13481 | − | 2.39002i | −0.101097 | − | 0.212920i | ||||
\(127\) | −12.2743 | − | 7.08657i | −1.08917 | − | 0.628831i | −0.155813 | − | 0.987787i | \(-0.549800\pi\) |
−0.933355 | + | 0.358955i | \(0.883133\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −4.88270 | − | 8.45709i | −0.429898 | − | 0.744605i | ||||
\(130\) | 8.72876 | + | 11.6926i | 0.765563 | + | 1.02551i | ||||
\(131\) | 8.60736 | + | 4.96946i | 0.752029 | + | 0.434184i | 0.826427 | − | 0.563045i | \(-0.190370\pi\) |
−0.0743977 | + | 0.997229i | \(0.523703\pi\) | |||||||
\(132\) | −4.89839 | + | 1.31252i | −0.426350 | + | 0.114240i | ||||
\(133\) | 0.308008 | − | 3.82719i | 0.0267077 | − | 0.331860i | ||||
\(134\) | −7.96498 | + | 4.59858i | −0.688069 | + | 0.397257i | ||||
\(135\) | 1.04742 | + | 3.90903i | 0.0901476 | + | 0.336435i | ||||
\(136\) | 4.79325 | − | 1.28435i | 0.411018 | − | 0.110132i | ||||
\(137\) | 17.0632 | − | 4.57208i | 1.45781 | − | 0.390619i | 0.559078 | − | 0.829115i | \(-0.311155\pi\) |
0.898733 | + | 0.438496i | \(0.144489\pi\) | |||||||
\(138\) | 1.40607 | + | 5.24753i | 0.119693 | + | 0.446699i | ||||
\(139\) | −11.0687 | + | 6.39049i | −0.938831 | + | 0.542035i | −0.889594 | − | 0.456752i | \(-0.849013\pi\) |
−0.0492377 | + | 0.998787i | \(0.515679\pi\) | |||||||
\(140\) | −4.59247 | − | 9.67224i | −0.388135 | − | 0.817453i | ||||
\(141\) | −2.84109 | + | 0.761269i | −0.239263 | + | 0.0641104i | ||||
\(142\) | 3.84185 | + | 2.21809i | 0.322401 | + | 0.186138i | ||||
\(143\) | −2.62619 | + | 18.0948i | −0.219613 | + | 1.51317i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −8.89230 | + | 33.1865i | −0.738465 | + | 2.75599i | ||||
\(146\) | −11.5073 | − | 6.64375i | −0.952351 | − | 0.549840i | ||||
\(147\) | 6.90991 | + | 1.11945i | 0.569920 | + | 0.0923310i | ||||
\(148\) | −0.552475 | + | 0.552475i | −0.0454132 | + | 0.0454132i | ||||
\(149\) | 8.24822 | − | 8.24822i | 0.675720 | − | 0.675720i | −0.283309 | − | 0.959029i | \(-0.591432\pi\) |
0.959029 | + | 0.283309i | \(0.0914320\pi\) | |||||||
\(150\) | 2.94473 | + | 10.9899i | 0.240436 | + | 0.897321i | ||||
\(151\) | −4.29660 | + | 16.0351i | −0.349652 | + | 1.30492i | 0.537430 | + | 0.843308i | \(0.319395\pi\) |
−0.887082 | + | 0.461611i | \(0.847271\pi\) | |||||||
\(152\) | − | 1.45122i | − | 0.117709i | ||||||
\(153\) | 2.48117 | − | 4.29751i | 0.200591 | − | 0.347433i | ||||
\(154\) | 4.50105 | − | 12.6396i | 0.362705 | − | 1.01853i | ||||
\(155\) | − | 16.6668i | − | 1.33871i | ||||||
\(156\) | −3.58062 | + | 0.423290i | −0.286679 | + | 0.0338904i | ||||
\(157\) | 19.4589 | − | 11.2346i | 1.55299 | − | 0.896620i | 0.555095 | − | 0.831787i | \(-0.312682\pi\) |
0.997896 | − | 0.0648334i | \(-0.0206516\pi\) | |||||||
\(158\) | −1.87983 | + | 1.87983i | −0.149551 | + | 0.149551i | ||||
\(159\) | 3.61043 | − | 2.08448i | 0.286325 | − | 0.165310i | ||||
\(160\) | −2.02346 | − | 3.50474i | −0.159969 | − | 0.277074i | ||||
\(161\) | −13.5405 | − | 4.82187i | −1.06714 | − | 0.380016i | ||||
\(162\) | −0.965926 | − | 0.258819i | −0.0758903 | − | 0.0203347i | ||||
\(163\) | −0.539939 | − | 0.539939i | −0.0422913 | − | 0.0422913i | 0.685645 | − | 0.727936i | \(-0.259520\pi\) |
−0.727936 | + | 0.685645i | \(0.759520\pi\) | |||||||
\(164\) | −3.46045 | − | 0.927225i | −0.270216 | − | 0.0724041i | ||||
\(165\) | −10.2613 | + | 17.7732i | −0.798844 | + | 1.38364i | ||||
\(166\) | −0.723897 | − | 1.25383i | −0.0561853 | − | 0.0973158i | ||||
\(167\) | −0.00377911 | − | 0.0141038i | −0.000292436 | − | 0.00109139i | 0.965779 | − | 0.259365i | \(-0.0835132\pi\) |
−0.966072 | + | 0.258273i | \(0.916846\pi\) | |||||||
\(168\) | 2.63722 | + | 0.212241i | 0.203466 | + | 0.0163747i | ||||
\(169\) | −3.69566 | + | 12.4636i | −0.284281 | + | 0.958741i | ||||
\(170\) | 10.0411 | − | 17.3917i | 0.770117 | − | 1.33388i | ||||
\(171\) | −1.02617 | − | 1.02617i | −0.0784730 | − | 0.0784730i | ||||
\(172\) | 9.76541 | 0.744605 | ||||||||
\(173\) | 7.23453 | 0.550031 | 0.275016 | − | 0.961440i | \(-0.411317\pi\) | ||||
0.275016 | + | 0.961440i | \(0.411317\pi\) | |||||||
\(174\) | −6.00313 | − | 6.00313i | −0.455096 | − | 0.455096i | ||||
\(175\) | −28.3578 | − | 10.0984i | −2.14365 | − | 0.763369i | ||||
\(176\) | 1.31252 | − | 4.89839i | 0.0989349 | − | 0.369230i | ||||
\(177\) | 0.903539 | − | 0.242102i | 0.0679141 | − | 0.0181975i | ||||
\(178\) | −5.54263 | − | 3.20004i | −0.415438 | − | 0.239853i | ||||
\(179\) | 16.1216i | 1.20499i | 0.798123 | + | 0.602494i | \(0.205826\pi\) | ||||
−0.798123 | + | 0.602494i | \(0.794174\pi\) | |||||||
\(180\) | −3.90903 | − | 1.04742i | −0.291362 | − | 0.0780701i | ||||
\(181\) | 6.35633 | 0.472462 | 0.236231 | − | 0.971697i | \(-0.424088\pi\) | ||||
0.236231 | + | 0.971697i | \(0.424088\pi\) | |||||||
\(182\) | 4.45775 | − | 8.43377i | 0.330430 | − | 0.625153i | ||||
\(183\) | −12.1085 | −0.895089 | ||||||||
\(184\) | −5.24753 | − | 1.40607i | −0.386853 | − | 0.103657i | ||||
\(185\) | 3.16193i | 0.232470i | ||||||||
\(186\) | 3.56664 | + | 2.05920i | 0.261519 | + | 0.150988i | ||||
\(187\) | 24.3075 | − | 6.51317i | 1.77754 | − | 0.476290i | ||||
\(188\) | 0.761269 | − | 2.84109i | 0.0555213 | − | 0.207208i | ||||
\(189\) | 2.01488 | − | 1.71472i | 0.146561 | − | 0.124728i | ||||
\(190\) | −4.15282 | − | 4.15282i | −0.301277 | − | 0.301277i | ||||
\(191\) | −20.8379 | −1.50778 | −0.753888 | − | 0.657003i | \(-0.771824\pi\) | ||||
−0.753888 | + | 0.657003i | \(0.771824\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | −7.59633 | − | 7.59633i | −0.546796 | − | 0.546796i | 0.378717 | − | 0.925513i | \(-0.376365\pi\) |
−0.925513 | + | 0.378717i | \(0.876365\pi\) | |||||||
\(194\) | −5.06816 | + | 8.77832i | −0.363873 | + | 0.630246i | ||||
\(195\) | −9.03503 | + | 11.4576i | −0.647012 | + | 0.820496i | ||||
\(196\) | −4.42443 | + | 5.42443i | −0.316031 | + | 0.387459i | ||||
\(197\) | 3.04663 | + | 11.3702i | 0.217063 | + | 0.810092i | 0.985430 | + | 0.170082i | \(0.0544032\pi\) |
−0.768367 | + | 0.640010i | \(0.778930\pi\) | |||||||
\(198\) | −2.53559 | − | 4.39177i | −0.180197 | − | 0.312110i | ||||
\(199\) | −9.71131 | + | 16.8205i | −0.688417 | + | 1.19237i | 0.283933 | + | 0.958844i | \(0.408361\pi\) |
−0.972350 | + | 0.233528i | \(0.924973\pi\) | |||||||
\(200\) | −10.9899 | − | 2.94473i | −0.777103 | − | 0.208224i | ||||
\(201\) | −6.50338 | − | 6.50338i | −0.458713 | − | 0.458713i | ||||
\(202\) | −3.79157 | − | 1.01595i | −0.266774 | − | 0.0714818i | ||||
\(203\) | 22.0927 | − | 4.05430i | 1.55061 | − | 0.284556i | ||||
\(204\) | 2.48117 | + | 4.29751i | 0.173717 | + | 0.300886i | ||||
\(205\) | −12.5558 | + | 7.24909i | −0.876934 | + | 0.506298i | ||||
\(206\) | 4.98548 | − | 4.98548i | 0.347355 | − | 0.347355i | ||||
\(207\) | −4.70481 | + | 2.71632i | −0.327007 | + | 0.188797i | ||||
\(208\) | 1.42373 | − | 3.31255i | 0.0987178 | − | 0.229684i | ||||
\(209\) | − | 7.35940i | − | 0.509061i | ||||||
\(210\) | 8.15405 | − | 6.93935i | 0.562683 | − | 0.478860i | ||||
\(211\) | −1.69854 | + | 2.94196i | −0.116932 | + | 0.202533i | −0.918551 | − | 0.395304i | \(-0.870639\pi\) |
0.801618 | + | 0.597836i | \(0.203973\pi\) | |||||||
\(212\) | 4.16896i | 0.286325i | ||||||||
\(213\) | −1.14817 | + | 4.28503i | −0.0786713 | + | 0.293605i | ||||
\(214\) | −2.05398 | − | 7.66555i | −0.140407 | − | 0.524006i | ||||
\(215\) | 27.9447 | − | 27.9447i | 1.90582 | − | 1.90582i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | −9.84308 | + | 4.67359i | −0.668192 | + | 0.317264i | ||||
\(218\) | −2.48792 | − | 1.43640i | −0.168503 | − | 0.0972852i | ||||
\(219\) | 3.43906 | − | 12.8347i | 0.232390 | − | 0.867291i | ||||
\(220\) | −10.2613 | − | 17.7732i | −0.691820 | − | 1.19827i | ||||
\(221\) | 17.7682 | − | 2.10051i | 1.19522 | − | 0.141296i | ||||
\(222\) | −0.676641 | − | 0.390659i | −0.0454132 | − | 0.0262193i | ||||
\(223\) | 18.6599 | − | 4.99990i | 1.24956 | − | 0.334818i | 0.427393 | − | 0.904066i | \(-0.359432\pi\) |
0.822166 | + | 0.569248i | \(0.192765\pi\) | |||||||
\(224\) | −1.50242 | + | 2.17778i | −0.100385 | + | 0.145509i | ||||
\(225\) | −9.85327 | + | 5.68879i | −0.656884 | + | 0.379252i | ||||
\(226\) | 2.45827 | + | 9.17439i | 0.163522 | + | 0.610272i | ||||
\(227\) | −0.675293 | + | 0.180944i | −0.0448208 | + | 0.0120097i | −0.281160 | − | 0.959661i | \(-0.590719\pi\) |
0.236339 | + | 0.971671i | \(0.424052\pi\) | |||||||
\(228\) | 1.40177 | − | 0.375603i | 0.0928345 | − | 0.0248749i | ||||
\(229\) | −3.70519 | − | 13.8280i | −0.244846 | − | 0.913778i | −0.973461 | − | 0.228854i | \(-0.926502\pi\) |
0.728615 | − | 0.684924i | \(-0.240164\pi\) | |||||||
\(230\) | −19.0400 | + | 10.9927i | −1.25546 | + | 0.724840i | ||||
\(231\) | 13.3739 | + | 1.07631i | 0.879935 | + | 0.0708162i | ||||
\(232\) | 8.20043 | − | 2.19730i | 0.538385 | − | 0.144260i | ||||
\(233\) | 14.6943 | + | 8.48375i | 0.962655 | + | 0.555789i | 0.896989 | − | 0.442053i | \(-0.145750\pi\) |
0.0656657 | + | 0.997842i | \(0.479083\pi\) | |||||||
\(234\) | −1.33560 | − | 3.34906i | −0.0873109 | − | 0.218935i | ||||
\(235\) | −5.95164 | − | 10.3085i | −0.388242 | − | 0.672455i | ||||
\(236\) | −0.242102 | + | 0.903539i | −0.0157595 | + | 0.0588154i | ||||
\(237\) | −2.30231 | − | 1.32924i | −0.149551 | − | 0.0863433i | ||||
\(238\) | −13.0868 | − | 1.05321i | −0.848292 | − | 0.0682696i | ||||
\(239\) | −10.9179 | + | 10.9179i | −0.706219 | + | 0.706219i | −0.965738 | − | 0.259519i | \(-0.916436\pi\) |
0.259519 | + | 0.965738i | \(0.416436\pi\) | |||||||
\(240\) | 2.86161 | − | 2.86161i | 0.184716 | − | 0.184716i | ||||
\(241\) | 0.0901532 | + | 0.336456i | 0.00580728 | + | 0.0216731i | 0.968769 | − | 0.247966i | \(-0.0797622\pi\) |
−0.962961 | + | 0.269639i | \(0.913096\pi\) | |||||||
\(242\) | 3.80902 | − | 14.2154i | 0.244853 | − | 0.913804i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 6.05427 | − | 10.4863i | 0.387585 | − | 0.671317i | ||||
\(245\) | 2.86161 | + | 28.1835i | 0.182821 | + | 1.80058i | ||||
\(246\) | − | 3.58252i | − | 0.228413i | ||||||
\(247\) | 0.751536 | − | 5.17819i | 0.0478191 | − | 0.329481i | ||||
\(248\) | −3.56664 | + | 2.05920i | −0.226482 | + | 0.130759i | ||||
\(249\) | 1.02375 | − | 1.02375i | 0.0648772 | − | 0.0648772i | ||||
\(250\) | −22.3517 | + | 12.9048i | −1.41365 | + | 0.816169i | ||||
\(251\) | 0.267758 | + | 0.463770i | 0.0169007 | + | 0.0292729i | 0.874352 | − | 0.485292i | \(-0.161287\pi\) |
−0.857451 | + | 0.514565i | \(0.827953\pi\) | |||||||
\(252\) | 0.477555 | + | 2.60230i | 0.0300831 | + | 0.163929i | ||||
\(253\) | −26.6112 | − | 7.13045i | −1.67303 | − | 0.448287i | ||||
\(254\) | 10.0219 | + | 10.0219i | 0.628831 | + | 0.628831i | ||||
\(255\) | 19.3979 | + | 5.19766i | 1.21474 | + | 0.325490i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 10.6194 | + | 18.3934i | 0.662422 | + | 1.14735i | 0.979978 | + | 0.199108i | \(0.0638045\pi\) |
−0.317556 | + | 0.948240i | \(0.602862\pi\) | |||||||
\(258\) | 2.52747 | + | 9.43266i | 0.157354 | + | 0.587252i | ||||
\(259\) | 1.86737 | − | 0.886644i | 0.116033 | − | 0.0550934i | ||||
\(260\) | −5.40507 | − | 13.5534i | −0.335208 | − | 0.840544i | ||||
\(261\) | 4.24486 | − | 7.35231i | 0.262750 | − | 0.455096i | ||||
\(262\) | −7.02788 | − | 7.02788i | −0.434184 | − | 0.434184i | ||||
\(263\) | −12.4316 | −0.766563 | −0.383281 | − | 0.923632i | \(-0.625206\pi\) | ||||
−0.383281 | + | 0.923632i | \(0.625206\pi\) | |||||||
\(264\) | 5.07118 | 0.312110 | ||||||||
\(265\) | 11.9299 | + | 11.9299i | 0.732849 | + | 0.732849i | ||||
\(266\) | −1.28806 | + | 3.61707i | −0.0789762 | + | 0.221777i | ||||
\(267\) | 1.65646 | − | 6.18200i | 0.101374 | − | 0.378332i | ||||
\(268\) | 8.88378 | − | 2.38040i | 0.542663 | − | 0.145406i | ||||
\(269\) | 8.69727 | + | 5.02137i | 0.530282 | + | 0.306158i | 0.741131 | − | 0.671360i | \(-0.234290\pi\) |
−0.210849 | + | 0.977519i | \(0.567623\pi\) | |||||||
\(270\) | − | 4.04692i | − | 0.246288i | ||||||
\(271\) | 18.7150 | + | 5.01468i | 1.13686 | + | 0.304620i | 0.777687 | − | 0.628652i | \(-0.216393\pi\) |
0.359171 | + | 0.933272i | \(0.383060\pi\) | |||||||
\(272\) | −4.96234 | −0.300886 | ||||||||
\(273\) | 9.30015 | + | 2.12304i | 0.562870 | + | 0.128492i | ||||
\(274\) | −17.6652 | −1.06719 | ||||||||
\(275\) | −55.7318 | − | 14.9333i | −3.36075 | − | 0.900511i | ||||
\(276\) | − | 5.43264i | − | 0.327007i | ||||||
\(277\) | 19.3451 | + | 11.1689i | 1.16233 | + | 0.671073i | 0.951862 | − | 0.306527i | \(-0.0991669\pi\) |
0.210471 | + | 0.977600i | \(0.432500\pi\) | |||||||
\(278\) | 12.3455 | − | 3.30796i | 0.740433 | − | 0.198398i | ||||
\(279\) | −1.06592 | + | 3.97807i | −0.0638150 | + | 0.238161i | ||||
\(280\) | 1.93263 | + | 10.5313i | 0.115497 | + | 0.629365i | ||||
\(281\) | −19.3688 | − | 19.3688i | −1.15545 | − | 1.15545i | −0.985444 | − | 0.170002i | \(-0.945622\pi\) |
−0.170002 | − | 0.985444i | \(-0.554378\pi\) | |||||||
\(282\) | 2.94132 | 0.175153 | ||||||||
\(283\) | −11.1732 | −0.664181 | −0.332090 | − | 0.943248i | \(-0.607754\pi\) | ||||
−0.332090 | + | 0.943248i | \(0.607754\pi\) | |||||||
\(284\) | −3.13686 | − | 3.13686i | −0.186138 | − | 0.186138i | ||||
\(285\) | 2.93649 | − | 5.08614i | 0.173942 | − | 0.301277i | ||||
\(286\) | 7.21999 | − | 16.7986i | 0.426927 | − | 0.993320i | ||||
\(287\) | 7.80195 | + | 5.38244i | 0.460535 | + | 0.317716i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | −3.81242 | − | 6.60330i | −0.224260 | − | 0.388429i | ||||
\(290\) | 17.1786 | − | 29.7542i | 1.00876 | − | 1.74723i | ||||
\(291\) | −9.79094 | − | 2.62347i | −0.573955 | − | 0.153791i | ||||
\(292\) | 9.39568 | + | 9.39568i | 0.549840 | + | 0.549840i | ||||
\(293\) | −19.1845 | − | 5.14048i | −1.12077 | − | 0.300310i | −0.349577 | − | 0.936908i | \(-0.613675\pi\) |
−0.771196 | + | 0.636598i | \(0.780341\pi\) | |||||||
\(294\) | −6.38472 | − | 2.86972i | −0.372365 | − | 0.167366i | ||||
\(295\) | 1.89277 | + | 3.27837i | 0.110201 | + | 0.190874i | ||||
\(296\) | 0.676641 | − | 0.390659i | 0.0393290 | − | 0.0227066i | ||||
\(297\) | 3.58587 | − | 3.58587i | 0.208073 | − | 0.208073i | ||||
\(298\) | −10.1020 | + | 5.83237i | −0.585191 | + | 0.337860i | ||||
\(299\) | −17.9959 | − | 7.73461i | −1.04073 | − | 0.447304i | ||||
\(300\) | − | 11.3776i | − | 0.656884i | ||||||
\(301\) | −24.3396 | − | 8.66751i | −1.40291 | − | 0.499587i | ||||
\(302\) | 8.30039 | − | 14.3767i | 0.477634 | − | 0.827286i | ||||
\(303\) | − | 3.92532i | − | 0.225504i | ||||||
\(304\) | −0.375603 | + | 1.40177i | −0.0215423 | + | 0.0803971i | ||||
\(305\) | −12.6827 | − | 47.3326i | −0.726211 | − | 2.71026i | ||||
\(306\) | −3.50891 | + | 3.50891i | −0.200591 | + | 0.200591i | ||||
\(307\) | −2.00335 | + | 2.00335i | −0.114337 | + | 0.114337i | −0.761961 | − | 0.647623i | \(-0.775763\pi\) |
0.647623 | + | 0.761961i | \(0.275763\pi\) | |||||||
\(308\) | −7.61904 | + | 11.0439i | −0.434135 | + | 0.629287i | ||||
\(309\) | 6.10594 | + | 3.52526i | 0.347355 | + | 0.200545i | ||||
\(310\) | −4.31370 | + | 16.0989i | −0.245002 | + | 0.914358i | ||||
\(311\) | −10.4635 | − | 18.1233i | −0.593332 | − | 1.02768i | −0.993780 | − | 0.111361i | \(-0.964479\pi\) |
0.400448 | − | 0.916319i | \(-0.368854\pi\) | |||||||
\(312\) | 3.56817 | + | 0.517865i | 0.202008 | + | 0.0293183i | ||||
\(313\) | −22.2663 | − | 12.8554i | −1.25856 | − | 0.726632i | −0.285769 | − | 0.958299i | \(-0.592249\pi\) |
−0.972795 | + | 0.231666i | \(0.925582\pi\) | |||||||
\(314\) | −21.7036 | + | 5.81547i | −1.22481 | + | 0.328186i | ||||
\(315\) | 8.81332 | + | 6.08017i | 0.496574 | + | 0.342579i | ||||
\(316\) | 2.30231 | − | 1.32924i | 0.129515 | − | 0.0747755i | ||||
\(317\) | 8.42624 | + | 31.4472i | 0.473265 | + | 1.76625i | 0.627918 | + | 0.778280i | \(0.283907\pi\) |
−0.154653 | + | 0.987969i | \(0.549426\pi\) | |||||||
\(318\) | −4.02691 | + | 1.07901i | −0.225818 | + | 0.0605077i | ||||
\(319\) | 41.5859 | − | 11.1429i | 2.32836 | − | 0.623883i | ||||
\(320\) | 1.04742 | + | 3.90903i | 0.0585526 | + | 0.218521i | ||||
\(321\) | 6.87275 | − | 3.96798i | 0.383599 | − | 0.221471i | ||||
\(322\) | 11.8311 | + | 8.16210i | 0.659322 | + | 0.454856i | ||||
\(323\) | −6.95606 | + | 1.86387i | −0.387046 | + | 0.103709i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | −37.6888 | − | 16.1986i | −2.09060 | − | 0.898535i | ||||
\(326\) | 0.381795 | + | 0.661288i | 0.0211456 | + | 0.0366253i | ||||
\(327\) | 0.743535 | − | 2.77491i | 0.0411176 | − | 0.153453i | ||||
\(328\) | 3.10255 | + | 1.79126i | 0.171310 | + | 0.0989058i | ||||
\(329\) | −4.41909 | + | 6.40555i | −0.243632 | + | 0.353150i | ||||
\(330\) | 14.5117 | − | 14.5117i | 0.798844 | − | 0.798844i | ||||
\(331\) | 12.8665 | − | 12.8665i | 0.707209 | − | 0.707209i | −0.258738 | − | 0.965947i | \(-0.583307\pi\) |
0.965947 | + | 0.258738i | \(0.0833067\pi\) | |||||||
\(332\) | 0.374717 | + | 1.39846i | 0.0205653 | + | 0.0767506i | ||||
\(333\) | 0.202220 | − | 0.754695i | 0.0110816 | − | 0.0413570i | ||||
\(334\) | 0.0146014i | 0.000798951i | ||||||||
\(335\) | 18.6101 | − | 32.2336i | 1.01678 | − | 1.76111i | ||||
\(336\) | −2.49243 | − | 0.887573i | −0.135973 | − | 0.0484211i | ||||
\(337\) | 6.02776i | 0.328353i | 0.986431 | + | 0.164177i | \(0.0524967\pi\) | ||||
−0.986431 | + | 0.164177i | \(0.947503\pi\) | |||||||
\(338\) | 6.79556 | − | 11.0824i | 0.369630 | − | 0.602805i | ||||
\(339\) | −8.22554 | + | 4.74902i | −0.446750 | + | 0.257931i | ||||
\(340\) | −14.2003 | + | 14.2003i | −0.770117 | + | 0.770117i | ||||
\(341\) | −18.0871 | + | 10.4426i | −0.979471 | + | 0.565498i | ||||
\(342\) | 0.725610 | + | 1.25679i | 0.0392365 | + | 0.0679596i | ||||
\(343\) | 15.8422 | − | 9.59301i | 0.855396 | − | 0.517974i | ||||
\(344\) | −9.43266 | − | 2.52747i | −0.508575 | − | 0.136272i | ||||
\(345\) | −15.5461 | − | 15.5461i | −0.836973 | − | 0.836973i | ||||
\(346\) | −6.98802 | − | 1.87243i | −0.375678 | − | 0.100663i | ||||
\(347\) | −15.1018 | + | 26.1572i | −0.810710 | + | 1.40419i | 0.101658 | + | 0.994819i | \(0.467585\pi\) |
−0.912368 | + | 0.409371i | \(0.865748\pi\) | |||||||
\(348\) | 4.24486 | + | 7.35231i | 0.227548 | + | 0.394125i | ||||
\(349\) | 4.66318 | + | 17.4032i | 0.249614 | + | 0.931573i | 0.971008 | + | 0.239048i | \(0.0768352\pi\) |
−0.721394 | + | 0.692525i | \(0.756498\pi\) | |||||||
\(350\) | 24.7779 | + | 17.0939i | 1.32443 | + | 0.913706i | ||||
\(351\) | 2.88926 | − | 2.15689i | 0.154217 | − | 0.115126i | ||||
\(352\) | −2.53559 | + | 4.39177i | −0.135148 | + | 0.234082i | ||||
\(353\) | −1.18597 | − | 1.18597i | −0.0631230 | − | 0.0631230i | 0.674841 | − | 0.737964i | \(-0.264212\pi\) |
−0.737964 | + | 0.674841i | \(0.764212\pi\) | |||||||
\(354\) | −0.935412 | −0.0497166 | ||||||||
\(355\) | −17.9529 | −0.952842 | ||||||||
\(356\) | 4.52554 | + | 4.52554i | 0.239853 | + | 0.239853i | ||||
\(357\) | −2.36979 | − | 12.9135i | −0.125423 | − | 0.683454i | ||||
\(358\) | 4.17259 | − | 15.5723i | 0.220528 | − | 0.823022i | ||||
\(359\) | 0.214530 | − | 0.0574832i | 0.0113225 | − | 0.00303385i | −0.253153 | − | 0.967426i | \(-0.581468\pi\) |
0.264476 | + | 0.964392i | \(0.414801\pi\) | |||||||
\(360\) | 3.50474 | + | 2.02346i | 0.184716 | + | 0.106646i | ||||
\(361\) | − | 16.8940i | − | 0.889156i | ||||||
\(362\) | −6.13974 | − | 1.64514i | −0.322698 | − | 0.0864666i | ||||
\(363\) | 14.7169 | 0.772438 | ||||||||
\(364\) | −6.48868 | + | 6.99264i | −0.340099 | + | 0.366514i | ||||
\(365\) | 53.7734 | 2.81463 | ||||||||
\(366\) | 11.6960 | + | 3.13392i | 0.611357 | + | 0.163813i | ||||
\(367\) | − | 8.43917i | − | 0.440521i | −0.975441 | − | 0.220261i | \(-0.929309\pi\) | ||
0.975441 | − | 0.220261i | \(-0.0706907\pi\) | |||||||
\(368\) | 4.70481 | + | 2.71632i | 0.245255 | + | 0.141598i | ||||
\(369\) | 3.46045 | − | 0.927225i | 0.180144 | − | 0.0482694i | ||||
\(370\) | 0.818368 | − | 3.05419i | 0.0425449 | − | 0.158780i | ||||
\(371\) | 3.70026 | − | 10.3909i | 0.192108 | − | 0.539466i | ||||
\(372\) | −2.91215 | − | 2.91215i | −0.150988 | − | 0.150988i | ||||
\(373\) | −10.2853 | −0.532551 | −0.266275 | − | 0.963897i | \(-0.585793\pi\) | ||||
−0.266275 | + | 0.963897i | \(0.585793\pi\) | |||||||
\(374\) | −25.1649 | −1.30125 | ||||||||
\(375\) | −18.2501 | − | 18.2501i | −0.942431 | − | 0.942431i | ||||
\(376\) | −1.47066 | + | 2.54726i | −0.0758434 | + | 0.131365i | ||||
\(377\) | 30.3984 | − | 3.59361i | 1.56560 | − | 0.185081i | ||||
\(378\) | −2.39002 | + | 1.13481i | −0.122930 | + | 0.0583681i | ||||
\(379\) | 6.02799 | + | 22.4968i | 0.309637 | + | 1.15558i | 0.928880 | + | 0.370381i | \(0.120773\pi\) |
−0.619243 | + | 0.785199i | \(0.712560\pi\) | |||||||
\(380\) | 2.93649 | + | 5.08614i | 0.150639 | + | 0.260914i | ||||
\(381\) | −7.08657 | + | 12.2743i | −0.363056 | + | 0.628831i | ||||
\(382\) | 20.1278 | + | 5.39324i | 1.02983 | + | 0.275942i | ||||
\(383\) | −5.45036 | − | 5.45036i | −0.278500 | − | 0.278500i | 0.554010 | − | 0.832510i | \(-0.313097\pi\) |
−0.832510 | + | 0.554010i | \(0.813097\pi\) | |||||||
\(384\) | −0.965926 | − | 0.258819i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | 9.80071 | + | 53.4061i | 0.499491 | + | 2.72183i | ||||
\(386\) | 5.37141 | + | 9.30356i | 0.273398 | + | 0.473539i | ||||
\(387\) | −8.45709 | + | 4.88270i | −0.429898 | + | 0.248202i | ||||
\(388\) | 7.16747 | − | 7.16747i | 0.363873 | − | 0.363873i | ||||
\(389\) | −22.8006 | + | 13.1639i | −1.15604 | + | 0.667438i | −0.950351 | − | 0.311180i | \(-0.899276\pi\) |
−0.205686 | + | 0.978618i | \(0.565943\pi\) | |||||||
\(390\) | 11.6926 | − | 8.72876i | 0.592078 | − | 0.441998i | ||||
\(391\) | 26.9586i | 1.36336i | ||||||||
\(392\) | 5.67762 | − | 4.09447i | 0.286763 | − | 0.206802i | ||||
\(393\) | 4.96946 | − | 8.60736i | 0.250676 | − | 0.434184i | ||||
\(394\) | − | 11.7713i | − | 0.593028i | ||||||
\(395\) | 2.78454 | − | 10.3921i | 0.140106 | − | 0.522881i | ||||
\(396\) | 1.31252 | + | 4.89839i | 0.0659566 | + | 0.246153i | ||||
\(397\) | 7.39270 | − | 7.39270i | 0.371029 | − | 0.371029i | −0.496823 | − | 0.867852i | \(-0.665500\pi\) |
0.867852 | + | 0.496823i | \(0.165500\pi\) | |||||||
\(398\) | 13.7339 | − | 13.7339i | 0.688417 | − | 0.688417i | ||||
\(399\) | −3.82719 | − | 0.308008i | −0.191599 | − | 0.0154197i | ||||
\(400\) | 9.85327 | + | 5.68879i | 0.492663 | + | 0.284439i | ||||
\(401\) | −2.65406 | + | 9.90509i | −0.132537 | + | 0.494636i | −0.999996 | − | 0.00287326i | \(-0.999085\pi\) |
0.867458 | + | 0.497510i | \(0.165752\pi\) | |||||||
\(402\) | 4.59858 | + | 7.96498i | 0.229356 | + | 0.397257i | ||||
\(403\) | −13.7928 | + | 5.50053i | −0.687066 | + | 0.274001i | ||||
\(404\) | 3.39942 | + | 1.96266i | 0.169128 | + | 0.0976459i | ||||
\(405\) | 3.90903 | − | 1.04742i | 0.194241 | − | 0.0520467i | ||||
\(406\) | −22.3893 | − | 1.80186i | −1.11116 | − | 0.0894250i | ||||
\(407\) | 3.43137 | − | 1.98110i | 0.170087 | − | 0.0981997i | ||||
\(408\) | −1.28435 | − | 4.79325i | −0.0635847 | − | 0.237301i | ||||
\(409\) | 15.0571 | − | 4.03454i | 0.744526 | − | 0.199495i | 0.133437 | − | 0.991057i | \(-0.457399\pi\) |
0.611089 | + | 0.791562i | \(0.290732\pi\) | |||||||
\(410\) | 14.0042 | − | 3.75240i | 0.691616 | − | 0.185318i | ||||
\(411\) | −4.57208 | − | 17.0632i | −0.225524 | − | 0.841668i | ||||
\(412\) | −6.10594 | + | 3.52526i | −0.300818 | + | 0.173677i | ||||
\(413\) | 1.40538 | − | 2.03712i | 0.0691542 | − | 0.100240i | ||||
\(414\) | 5.24753 | − | 1.40607i | 0.257902 | − | 0.0691046i | ||||
\(415\) | 5.07414 | + | 2.92955i | 0.249080 | + | 0.143806i | ||||
\(416\) | −2.23257 | + | 2.83119i | −0.109461 | + | 0.138811i | ||||
\(417\) | 6.39049 | + | 11.0687i | 0.312944 | + | 0.542035i | ||||
\(418\) | −1.90475 | + | 7.10864i | −0.0931645 | + | 0.347695i | ||||
\(419\) | −14.7689 | − | 8.52681i | −0.721506 | − | 0.416562i | 0.0938005 | − | 0.995591i | \(-0.470098\pi\) |
−0.815307 | + | 0.579029i | \(0.803432\pi\) | |||||||
\(420\) | −9.67224 | + | 4.59247i | −0.471957 | + | 0.224090i | ||||
\(421\) | −22.4757 | + | 22.4757i | −1.09540 | + | 1.09540i | −0.100458 | + | 0.994941i | \(0.532031\pi\) |
−0.994941 | + | 0.100458i | \(0.967969\pi\) | |||||||
\(422\) | 2.40210 | − | 2.40210i | 0.116932 | − | 0.116932i | ||||
\(423\) | 0.761269 | + | 2.84109i | 0.0370142 | + | 0.138139i | ||||
\(424\) | 1.07901 | − | 4.02691i | 0.0524012 | − | 0.195564i | ||||
\(425\) | 56.4594i | 2.73868i | ||||||||
\(426\) | 2.21809 | − | 3.84185i | 0.107467 | − | 0.186138i | ||||
\(427\) | −24.3972 | + | 20.7628i | −1.18066 | + | 1.00478i | ||||
\(428\) | 7.93596i | 0.383599i | ||||||||
\(429\) | 18.0948 | + | 2.62619i | 0.873627 | + | 0.126794i | ||||
\(430\) | −34.2252 | + | 19.7599i | −1.65049 | + | 0.952908i | ||||
\(431\) | 19.0284 | − | 19.0284i | 0.916566 | − | 0.916566i | −0.0802121 | − | 0.996778i | \(-0.525560\pi\) |
0.996778 | + | 0.0802121i | \(0.0255598\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | 10.8841 | + | 18.8518i | 0.523055 | + | 0.905958i | 0.999640 | + | 0.0268294i | \(0.00854110\pi\) |
−0.476585 | + | 0.879128i | \(0.658126\pi\) | |||||||
\(434\) | 10.7173 | − | 1.96676i | 0.514447 | − | 0.0944077i | ||||
\(435\) | 33.1865 | + | 8.89230i | 1.59117 | + | 0.426353i | ||||
\(436\) | 2.03137 | + | 2.03137i | 0.0972852 | + | 0.0972852i | ||||
\(437\) | 7.61532 | + | 2.04052i | 0.364290 | + | 0.0976112i | ||||
\(438\) | −6.64375 | + | 11.5073i | −0.317450 | + | 0.549840i | ||||
\(439\) | −0.827717 | − | 1.43365i | −0.0395048 | − | 0.0684243i | 0.845597 | − | 0.533822i | \(-0.179245\pi\) |
−0.885102 | + | 0.465398i | \(0.845911\pi\) | |||||||
\(440\) | 5.31166 | + | 19.8234i | 0.253224 | + | 0.945043i | ||||
\(441\) | 1.11945 | − | 6.90991i | 0.0533073 | − | 0.329043i | ||||
\(442\) | −17.7065 | − | 2.56982i | −0.842211 | − | 0.122234i | ||||
\(443\) | −14.7088 | + | 25.4763i | −0.698835 | + | 1.21042i | 0.270036 | + | 0.962850i | \(0.412965\pi\) |
−0.968871 | + | 0.247567i | \(0.920369\pi\) | |||||||
\(444\) | 0.552475 | + | 0.552475i | 0.0262193 | + | 0.0262193i | ||||
\(445\) | 25.9006 | 1.22781 | ||||||||
\(446\) | −19.3181 | −0.914741 | ||||||||
\(447\) | −8.24822 | − | 8.24822i | −0.390127 | − | 0.390127i | ||||
\(448\) | 2.01488 | − | 1.71472i | 0.0951940 | − | 0.0810130i | ||||
\(449\) | −8.91712 | + | 33.2791i | −0.420825 | + | 1.57054i | 0.352050 | + | 0.935981i | \(0.385485\pi\) |
−0.772875 | + | 0.634559i | \(0.781182\pi\) | |||||||
\(450\) | 10.9899 | − | 2.94473i | 0.518068 | − | 0.138816i | ||||
\(451\) | 15.7336 | + | 9.08381i | 0.740867 | + | 0.427740i | ||||
\(452\) | − | 9.49803i | − | 0.446750i | ||||||
\(453\) | 16.0351 | + | 4.29660i | 0.753396 | + | 0.201872i | ||||
\(454\) | 0.699115 | 0.0328111 | ||||||||
\(455\) | 1.44216 | + | 38.5782i | 0.0676093 | + | 1.80857i | ||||
\(456\) | −1.45122 | −0.0679596 | ||||||||
\(457\) | −1.01758 | − | 0.272661i | −0.0476006 | − | 0.0127545i | 0.234940 | − | 0.972010i | \(-0.424511\pi\) |
−0.282541 | + | 0.959255i | \(0.591177\pi\) | |||||||
\(458\) | 14.3158i | 0.668932i | ||||||||
\(459\) | −4.29751 | − | 2.48117i | −0.200591 | − | 0.115811i | ||||
\(460\) | 21.2363 | − | 5.69026i | 0.990149 | − | 0.265310i | ||||
\(461\) | 5.12435 | − | 19.1243i | 0.238665 | − | 0.890709i | −0.737798 | − | 0.675022i | \(-0.764134\pi\) |
0.976462 | − | 0.215687i | \(-0.0691992\pi\) | |||||||
\(462\) | −12.6396 | − | 4.50105i | −0.588046 | − | 0.209408i | ||||
\(463\) | 1.31618 | + | 1.31618i | 0.0611683 | + | 0.0611683i | 0.737029 | − | 0.675861i | \(-0.236228\pi\) |
−0.675861 | + | 0.737029i | \(0.736228\pi\) | |||||||
\(464\) | −8.48971 | −0.394125 | ||||||||
\(465\) | −16.6668 | −0.772906 | ||||||||
\(466\) | −11.9978 | − | 11.9978i | −0.555789 | − | 0.555789i | ||||
\(467\) | 11.3114 | − | 19.5920i | 0.523431 | − | 0.906609i | −0.476197 | − | 0.879339i | \(-0.657985\pi\) |
0.999628 | − | 0.0272707i | \(-0.00868162\pi\) | |||||||
\(468\) | 0.423290 | + | 3.58062i | 0.0195666 | + | 0.165514i | ||||
\(469\) | −24.2550 | − | 1.95201i | −1.11999 | − | 0.0901356i | ||||
\(470\) | 3.08080 | + | 11.4977i | 0.142107 | + | 0.530349i | ||||
\(471\) | −11.2346 | − | 19.4589i | −0.517664 | − | 0.896620i | ||||
\(472\) | 0.467706 | − | 0.810091i | 0.0215279 | − | 0.0372874i | ||||
\(473\) | −47.8348 | − | 12.8173i | −2.19944 | − | 0.589339i | ||||
\(474\) | 1.87983 | + | 1.87983i | 0.0863433 | + | 0.0863433i | ||||
\(475\) | 15.9487 | + | 4.27345i | 0.731779 | + | 0.196080i | ||||
\(476\) | 12.3683 | + | 4.40444i | 0.566900 | + | 0.201877i | ||||
\(477\) | −2.08448 | − | 3.61043i | −0.0954418 | − | 0.165310i | ||||
\(478\) | 13.3716 | − | 7.72011i | 0.611604 | − | 0.353110i | ||||
\(479\) | 18.4101 | − | 18.4101i | 0.841178 | − | 0.841178i | −0.147834 | − | 0.989012i | \(-0.547230\pi\) |
0.989012 | + | 0.147834i | \(0.0472302\pi\) | |||||||
\(480\) | −3.50474 | + | 2.02346i | −0.159969 | + | 0.0923579i | ||||
\(481\) | 2.61668 | − | 1.04353i | 0.119310 | − | 0.0475808i | ||||
\(482\) | − | 0.348325i | − | 0.0158658i | ||||||
\(483\) | −4.82187 | + | 13.5405i | −0.219402 | + | 0.616114i | ||||
\(484\) | −7.35846 | + | 12.7452i | −0.334475 | + | 0.579328i | ||||
\(485\) | − | 41.0209i | − | 1.86266i | ||||||
\(486\) | −0.258819 | + | 0.965926i | −0.0117403 | + | 0.0438153i | ||||
\(487\) | 0.697795 | + | 2.60421i | 0.0316201 | + | 0.118008i | 0.979932 | − | 0.199332i | \(-0.0638772\pi\) |
−0.948312 | + | 0.317340i | \(0.897210\pi\) | |||||||
\(488\) | −8.56203 | + | 8.56203i | −0.387585 | + | 0.387585i | ||||
\(489\) | −0.539939 | + | 0.539939i | −0.0244169 | + | 0.0244169i | ||||
\(490\) | 4.53034 | − | 27.9639i | 0.204660 | − | 1.26328i | ||||
\(491\) | 27.0819 | + | 15.6357i | 1.22219 | + | 0.705631i | 0.965384 | − | 0.260832i | \(-0.0839970\pi\) |
0.256804 | + | 0.966463i | \(0.417330\pi\) | |||||||
\(492\) | −0.927225 | + | 3.46045i | −0.0418025 | + | 0.156009i | ||||
\(493\) | −21.0644 | − | 36.4846i | −0.948694 | − | 1.64319i | ||||
\(494\) | −2.06614 | + | 4.80724i | −0.0929602 | + | 0.216288i | ||||
\(495\) | 17.7732 | + | 10.2613i | 0.798844 | + | 0.461213i | ||||
\(496\) | 3.97807 | − | 1.06592i | 0.178621 | − | 0.0478613i | ||||
\(497\) | 5.03422 | + | 10.6026i | 0.225815 | + | 0.475592i | ||||
\(498\) | −1.25383 | + | 0.723897i | −0.0561853 | + | 0.0324386i | ||||
\(499\) | 0.680186 | + | 2.53849i | 0.0304493 | + | 0.113638i | 0.979478 | − | 0.201552i | \(-0.0645984\pi\) |
−0.949029 | + | 0.315190i | \(0.897932\pi\) | |||||||
\(500\) | 24.9301 | − | 6.68000i | 1.11491 | − | 0.298739i | ||||
\(501\) | −0.0141038 | + | 0.00377911i | −0.000630113 | + | 0.000168838i | ||||
\(502\) | −0.138602 | − | 0.517268i | −0.00618609 | − | 0.0230868i | ||||
\(503\) | 28.0460 | − | 16.1924i | 1.25051 | − | 0.721982i | 0.279299 | − | 0.960204i | \(-0.409898\pi\) |
0.971211 | + | 0.238222i | \(0.0765646\pi\) | |||||||
\(504\) | 0.212241 | − | 2.63722i | 0.00945396 | − | 0.117471i | ||||
\(505\) | 15.3442 | − | 4.11146i | 0.682807 | − | 0.182957i | ||||
\(506\) | 23.8589 | + | 13.7750i | 1.06066 | + | 0.612372i | ||||
\(507\) | 12.4636 | + | 3.69566i | 0.553529 | + | 0.164130i | ||||
\(508\) | −7.08657 | − | 12.2743i | −0.314416 | − | 0.544584i | ||||
\(509\) | 6.11884 | − | 22.8358i | 0.271213 | − | 1.01218i | −0.687124 | − | 0.726540i | \(-0.741127\pi\) |
0.958337 | − | 0.285640i | \(-0.0922061\pi\) | |||||||
\(510\) | −17.3917 | − | 10.0411i | −0.770117 | − | 0.444627i | ||||
\(511\) | −15.0787 | − | 31.7574i | −0.667044 | − | 1.40487i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −1.02617 | + | 1.02617i | −0.0453064 | + | 0.0453064i | ||||
\(514\) | −5.49702 | − | 20.5152i | −0.242463 | − | 0.904885i | ||||
\(515\) | −7.38487 | + | 27.5607i | −0.325416 | + | 1.21447i | ||||
\(516\) | − | 9.76541i | − | 0.429898i | ||||||
\(517\) | −7.45798 | + | 12.9176i | −0.328002 | + | 0.568116i | ||||
\(518\) | −2.03322 | + | 0.373122i | −0.0893345 | + | 0.0163941i | ||||
\(519\) | − | 7.23453i | − | 0.317561i | ||||||
\(520\) | 1.71302 | + | 14.4905i | 0.0751210 | + | 0.635450i | ||||
\(521\) | −5.65413 | + | 3.26442i | −0.247712 | + | 0.143017i | −0.618716 | − | 0.785615i | \(-0.712347\pi\) |
0.371004 | + | 0.928631i | \(0.379014\pi\) | |||||||
\(522\) | −6.00313 | + | 6.00313i | −0.262750 | + | 0.262750i | ||||
\(523\) | 6.58889 | − | 3.80410i | 0.288112 | − | 0.166341i | −0.348978 | − | 0.937131i | \(-0.613471\pi\) |
0.637090 | + | 0.770789i | \(0.280138\pi\) | |||||||
\(524\) | 4.96946 | + | 8.60736i | 0.217092 | + | 0.376014i | ||||
\(525\) | −10.0984 | + | 28.3578i | −0.440731 | + | 1.23764i | ||||
\(526\) | 12.0080 | + | 3.21752i | 0.523572 | + | 0.140291i | ||||
\(527\) | 14.4511 | + | 14.4511i | 0.629499 | + | 0.629499i | ||||
\(528\) | −4.89839 | − | 1.31252i | −0.213175 | − | 0.0571201i | ||||
\(529\) | 3.25680 | − | 5.64095i | 0.141600 | − | 0.245259i | ||||
\(530\) | −8.43573 | − | 14.6111i | −0.366425 | − | 0.634666i | ||||
\(531\) | −0.242102 | − | 0.903539i | −0.0105064 | − | 0.0392102i | ||||
\(532\) | 2.18034 | − | 3.16044i | 0.0945297 | − | 0.137023i | ||||
\(533\) | 10.1428 | + | 7.99822i | 0.439333 | + | 0.346441i | ||||
\(534\) | −3.20004 | + | 5.54263i | −0.138479 | + | 0.239853i | ||||
\(535\) | 22.7096 | + | 22.7096i | 0.981821 | + | 0.981821i | ||||
\(536\) | −9.19716 | −0.397257 | ||||||||
\(537\) | 16.1216 | 0.695700 | ||||||||
\(538\) | −7.10129 | − | 7.10129i | −0.306158 | − | 0.306158i | ||||
\(539\) | 28.7922 | − | 20.7638i | 1.24017 | − | 0.894361i | ||||
\(540\) | −1.04742 | + | 3.90903i | −0.0450738 | + | 0.168218i | ||||
\(541\) | 8.36067 | − | 2.24023i | 0.359453 | − | 0.0963152i | −0.0745728 | − | 0.997216i | \(-0.523759\pi\) |
0.434026 | + | 0.900900i | \(0.357093\pi\) | |||||||
\(542\) | −16.7794 | − | 9.68762i | −0.720739 | − | 0.416119i | ||||
\(543\) | − | 6.35633i | − | 0.272776i | ||||||
\(544\) | 4.79325 | + | 1.28435i | 0.205509 | + | 0.0550660i | ||||
\(545\) | 11.6260 | 0.498003 | ||||||||
\(546\) | −8.43377 | − | 4.45775i | −0.360932 | − | 0.190774i | ||||
\(547\) | 5.06040 | 0.216367 | 0.108184 | − | 0.994131i | \(-0.465497\pi\) | ||||
0.108184 | + | 0.994131i | \(0.465497\pi\) | |||||||
\(548\) | 17.0632 | + | 4.57208i | 0.728906 | + | 0.195310i | ||||
\(549\) | 12.1085i | 0.516780i | ||||||||
\(550\) | 49.9677 | + | 28.8489i | 2.13063 | + | 1.23012i | ||||
\(551\) | −11.9006 | + | 3.18876i | −0.506984 | + | 0.135846i | ||||
\(552\) | −1.40607 | + | 5.24753i | −0.0598464 | + | 0.223350i | ||||
\(553\) | −6.91814 | + | 1.26957i | −0.294189 | + | 0.0539876i | ||||
\(554\) | −15.7952 | − | 15.7952i | −0.671073 | − | 0.671073i | ||||
\(555\) | 3.16193 | 0.134217 | ||||||||
\(556\) | −12.7810 | −0.542035 | ||||||||
\(557\) | −3.34236 | − | 3.34236i | −0.141620 | − | 0.141620i | 0.632742 | − | 0.774363i | \(-0.281929\pi\) |
−0.774363 | + | 0.632742i | \(0.781929\pi\) | |||||||
\(558\) | 2.05920 | − | 3.56664i | 0.0871729 | − | 0.150988i | ||||
\(559\) | −32.3484 | − | 13.9033i | −1.36819 | − | 0.588047i | ||||
\(560\) | 0.858922 | − | 10.6726i | 0.0362961 | − | 0.451001i | ||||
\(561\) | −6.51317 | − | 24.3075i | −0.274986 | − | 1.02626i | ||||
\(562\) | 13.6958 | + | 23.7218i | 0.577723 | + | 1.00065i | ||||
\(563\) | 0.729952 | − | 1.26431i | 0.0307638 | − | 0.0532845i | −0.850234 | − | 0.526406i | \(-0.823539\pi\) |
0.880997 | + | 0.473121i | \(0.156873\pi\) | |||||||
\(564\) | −2.84109 | − | 0.761269i | −0.119632 | − | 0.0320552i | ||||
\(565\) | −27.1796 | − | 27.1796i | −1.14346 | − | 1.14346i | ||||
\(566\) | 10.7925 | + | 2.89185i | 0.453644 | + | 0.121553i | ||||
\(567\) | −1.71472 | − | 2.01488i | −0.0720116 | − | 0.0846169i | ||||
\(568\) | 2.21809 | + | 3.84185i | 0.0930692 | + | 0.161201i | ||||
\(569\) | −3.49714 | + | 2.01907i | −0.146608 | + | 0.0846440i | −0.571510 | − | 0.820595i | \(-0.693642\pi\) |
0.424902 | + | 0.905239i | \(0.360309\pi\) | |||||||
\(570\) | −4.15282 | + | 4.15282i | −0.173942 | + | 0.173942i | ||||
\(571\) | −25.0701 | + | 14.4742i | −1.04915 | + | 0.605727i | −0.922411 | − | 0.386209i | \(-0.873784\pi\) |
−0.126739 | + | 0.991936i | \(0.540451\pi\) | |||||||
\(572\) | −11.3218 | + | 14.3575i | −0.473387 | + | 0.600317i | ||||
\(573\) | 20.8379i | 0.870515i | ||||||||
\(574\) | −6.14303 | − | 7.21834i | −0.256405 | − | 0.301288i | ||||
\(575\) | 30.9051 | − | 53.5293i | 1.28883 | − | 2.23233i | ||||
\(576\) | − | 1.00000i | − | 0.0416667i | ||||||
\(577\) | −1.41837 | + | 5.29341i | −0.0590474 | + | 0.220368i | −0.989145 | − | 0.146946i | \(-0.953056\pi\) |
0.930097 | + | 0.367314i | \(0.119722\pi\) | |||||||
\(578\) | 1.97345 | + | 7.36502i | 0.0820848 | + | 0.306344i | ||||
\(579\) | −7.59633 | + | 7.59633i | −0.315693 | + | 0.315693i | ||||
\(580\) | −24.2942 | + | 24.2942i | −1.00876 | + | 1.00876i | ||||
\(581\) | 0.307281 | − | 3.81816i | 0.0127482 | − | 0.158404i | ||||
\(582\) | 8.77832 | + | 5.06816i | 0.363873 | + | 0.210082i | ||||
\(583\) | 5.47184 | − | 20.4212i | 0.226621 | − | 0.845759i | ||||
\(584\) | −6.64375 | − | 11.5073i | −0.274920 | − | 0.476176i | ||||
\(585\) | 11.4576 | + | 9.03503i | 0.473714 | + | 0.373552i | ||||
\(586\) | 17.2004 | + | 9.93065i | 0.710542 | + | 0.410231i | ||||
\(587\) | −39.3764 | + | 10.5509i | −1.62524 | + | 0.435481i | −0.952534 | − | 0.304432i | \(-0.901533\pi\) |
−0.672703 | + | 0.739913i | \(0.734867\pi\) | |||||||
\(588\) | 5.42443 | + | 4.42443i | 0.223700 | + | 0.182460i | ||||
\(589\) | 5.17598 | − | 2.98835i | 0.213272 | − | 0.123133i | ||||
\(590\) | −0.979770 | − | 3.65655i | −0.0403365 | − | 0.150538i | ||||
\(591\) | 11.3702 | − | 3.04663i | 0.467707 | − | 0.125322i | ||||
\(592\) | −0.754695 | + | 0.202220i | −0.0310178 | + | 0.00831119i | ||||
\(593\) | −2.46852 | − | 9.21264i | −0.101370 | − | 0.378318i | 0.896538 | − | 0.442967i | \(-0.146074\pi\) |
−0.997908 | + | 0.0646487i | \(0.979407\pi\) | |||||||
\(594\) | −4.39177 | + | 2.53559i | −0.180197 | + | 0.104037i | ||||
\(595\) | 47.9970 | − | 22.7894i | 1.96768 | − | 0.934275i | ||||
\(596\) | 11.2673 | − | 3.01906i | 0.461526 | − | 0.123665i | ||||
\(597\) | 16.8205 | + | 9.71131i | 0.688417 | + | 0.397457i | ||||
\(598\) | 15.3808 | + | 12.1287i | 0.628970 | + | 0.495981i | ||||
\(599\) | −17.6775 | − | 30.6183i | −0.722282 | − | 1.25103i | −0.960083 | − | 0.279716i | \(-0.909760\pi\) |
0.237800 | − | 0.971314i | \(-0.423574\pi\) | |||||||
\(600\) | −2.94473 | + | 10.9899i | −0.120218 | + | 0.448660i | ||||
\(601\) | −39.6382 | − | 22.8851i | −1.61688 | − | 0.933503i | −0.987722 | − | 0.156222i | \(-0.950068\pi\) |
−0.629154 | − | 0.777281i | \(-0.716598\pi\) | |||||||
\(602\) | 21.2669 | + | 14.6717i | 0.866776 | + | 0.597975i | ||||
\(603\) | −6.50338 | + | 6.50338i | −0.264838 | + | 0.264838i | ||||
\(604\) | −11.7385 | + | 11.7385i | −0.477634 | + | 0.477634i | ||||
\(605\) | 15.4148 | + | 57.5288i | 0.626701 | + | 2.33888i | ||||
\(606\) | −1.01595 | + | 3.79157i | −0.0412700 | + | 0.154022i | ||||
\(607\) | − | 34.6434i | − | 1.40613i | −0.711124 | − | 0.703066i | \(-0.751814\pi\) | ||
0.711124 | − | 0.703066i | \(-0.248186\pi\) | |||||||
\(608\) | 0.725610 | − | 1.25679i | 0.0294274 | − | 0.0509697i | ||||
\(609\) | −4.05430 | − | 22.0927i | −0.164289 | − | 0.895243i | ||||
\(610\) | 49.0023i | 1.98405i | ||||||||
\(611\) | −6.56669 | + | 8.32743i | −0.265660 | + | 0.336892i | ||||
\(612\) | 4.29751 | − | 2.48117i | 0.173717 | − | 0.100295i | ||||
\(613\) | −17.1866 | + | 17.1866i | −0.694161 | + | 0.694161i | −0.963145 | − | 0.268984i | \(-0.913312\pi\) |
0.268984 | + | 0.963145i | \(0.413312\pi\) | |||||||
\(614\) | 2.45360 | − | 1.41659i | 0.0990192 | − | 0.0571687i | ||||
\(615\) | 7.24909 | + | 12.5558i | 0.292311 | + | 0.506298i | ||||
\(616\) | 10.2178 | − | 8.69567i | 0.411687 | − | 0.350359i | ||||
\(617\) | −6.04046 | − | 1.61854i | −0.243180 | − | 0.0651599i | 0.135170 | − | 0.990822i | \(-0.456842\pi\) |
−0.378350 | + | 0.925663i | \(0.623509\pi\) | |||||||
\(618\) | −4.98548 | − | 4.98548i | −0.200545 | − | 0.200545i | ||||
\(619\) | −18.8116 | − | 5.04055i | −0.756102 | − | 0.202597i | −0.139879 | − | 0.990169i | \(-0.544671\pi\) |
−0.616223 | + | 0.787572i | \(0.711338\pi\) | |||||||
\(620\) | 8.33342 | − | 14.4339i | 0.334678 | − | 0.579680i | ||||
\(621\) | 2.71632 | + | 4.70481i | 0.109002 | + | 0.188797i | ||||
\(622\) | 5.41632 | + | 20.2140i | 0.217174 | + | 0.810506i | ||||
\(623\) | −7.26285 | − | 15.2963i | −0.290980 | − | 0.612835i | ||||
\(624\) | −3.31255 | − | 1.42373i | −0.132608 | − | 0.0569948i | ||||
\(625\) | 23.7806 | − | 41.1893i | 0.951226 | − | 1.64757i | ||||
\(626\) | 18.1803 | + | 18.1803i | 0.726632 | + | 0.726632i | ||||
\(627\) | −7.35940 | −0.293906 | ||||||||
\(628\) | 22.4692 | 0.896620 | ||||||||
\(629\) | −2.74157 | − | 2.74157i | −0.109314 | − | 0.109314i | ||||
\(630\) | −6.93935 | − | 8.15405i | −0.276470 | − | 0.324865i | ||||
\(631\) | −2.64586 | + | 9.87448i | −0.105330 | + | 0.393097i | −0.998382 | − | 0.0568558i | \(-0.981892\pi\) |
0.893052 | + | 0.449953i | \(0.148559\pi\) | |||||||
\(632\) | −2.56789 | + | 0.688065i | −0.102145 | + | 0.0273697i | ||||
\(633\) | 2.94196 | + | 1.69854i | 0.116932 | + | 0.0675109i | ||||
\(634\) | − | 32.5565i | − | 1.29298i | ||||||
\(635\) | −55.4031 | − | 14.8452i | −2.19861 | − | 0.589115i | ||||
\(636\) | 4.16896 | 0.165310 | ||||||||
\(637\) | 22.3791 | − | 11.6695i | 0.886691 | − | 0.462363i | ||||
\(638\) | −43.0529 | −1.70448 | ||||||||
\(639\) | 4.28503 | + | 1.14817i | 0.169513 | + | 0.0454209i | ||||
\(640\) | − | 4.04692i | − | 0.159969i | ||||||
\(641\) | 11.0356 | + | 6.37140i | 0.435880 | + | 0.251655i | 0.701848 | − | 0.712326i | \(-0.252358\pi\) |
−0.265969 | + | 0.963982i | \(0.585692\pi\) | |||||||
\(642\) | −7.66555 | + | 2.05398i | −0.302535 | + | 0.0810641i | ||||
\(643\) | −0.166808 | + | 0.622537i | −0.00657828 | + | 0.0245505i | −0.969137 | − | 0.246523i | \(-0.920712\pi\) |
0.962559 | + | 0.271073i | \(0.0873786\pi\) | |||||||
\(644\) | −9.31547 | − | 10.9461i | −0.367081 | − | 0.431337i | ||||
\(645\) | −27.9447 | − | 27.9447i | −1.10032 | − | 1.10032i | ||||
\(646\) | 7.20145 | 0.283337 | ||||||||
\(647\) | −16.8329 | −0.661768 | −0.330884 | − | 0.943671i | \(-0.607347\pi\) | ||||
−0.330884 | + | 0.943671i | \(0.607347\pi\) | |||||||
\(648\) | −0.707107 | − | 0.707107i | −0.0277778 | − | 0.0277778i | ||||
\(649\) | 2.37182 | − | 4.10812i | 0.0931022 | − | 0.161258i | ||||
\(650\) | 32.2121 | + | 25.4012i | 1.26346 | + | 0.996317i | ||||
\(651\) | 4.67359 | + | 9.84308i | 0.183172 | + | 0.385781i | ||||
\(652\) | −0.197631 | − | 0.737570i | −0.00773984 | − | 0.0288855i | ||||
\(653\) | 3.60462 | + | 6.24338i | 0.141060 | + | 0.244322i | 0.927896 | − | 0.372839i | \(-0.121616\pi\) |
−0.786836 | + | 0.617162i | \(0.788282\pi\) | |||||||
\(654\) | −1.43640 | + | 2.48792i | −0.0561676 | + | 0.0972852i | ||||
\(655\) | 38.8515 | + | 10.4102i | 1.51805 | + | 0.406762i | ||||
\(656\) | −2.53322 | − | 2.53322i | −0.0989058 | − | 0.0989058i | ||||
\(657\) | −12.8347 | − | 3.43906i | −0.500731 | − | 0.134170i | ||||
\(658\) | 5.92639 | − | 5.04354i | 0.231035 | − | 0.196618i | ||||
\(659\) | 4.22306 | + | 7.31455i | 0.164507 | + | 0.284934i | 0.936480 | − | 0.350721i | \(-0.114063\pi\) |
−0.771973 | + | 0.635655i | \(0.780730\pi\) | |||||||
\(660\) | −17.7732 | + | 10.2613i | −0.691820 | + | 0.399422i | ||||
\(661\) | −1.81867 | + | 1.81867i | −0.0707382 | + | 0.0707382i | −0.741591 | − | 0.670853i | \(-0.765928\pi\) |
0.670853 | + | 0.741591i | \(0.265928\pi\) | |||||||
\(662\) | −15.7582 | + | 9.09802i | −0.612461 | + | 0.353605i | ||||
\(663\) | −2.10051 | − | 17.7682i | −0.0815771 | − | 0.690062i | ||||
\(664\) | − | 1.44779i | − | 0.0561853i | ||||||
\(665\) | −2.80467 | − | 15.2832i | −0.108760 | − | 0.592657i | ||||
\(666\) | −0.390659 | + | 0.676641i | −0.0151377 | + | 0.0262193i | ||||
\(667\) | 46.1216i | 1.78583i | ||||||||
\(668\) | 0.00377911 | − | 0.0141038i | 0.000146218 | − | 0.000545694i | ||||
\(669\) | −4.99990 | − | 18.6599i | −0.193307 | − | 0.721433i | ||||
\(670\) | −26.3187 | + | 26.3187i | −1.01678 | + | 1.01678i | ||||
\(671\) | −43.4196 | + | 43.4196i | −1.67620 | + | 1.67620i | ||||
\(672\) | 2.17778 | + | 1.50242i | 0.0840098 | + | 0.0579570i | ||||
\(673\) | −12.2144 | − | 7.05201i | −0.470832 | − | 0.271835i | 0.245756 | − | 0.969332i | \(-0.420964\pi\) |
−0.716588 | + | 0.697497i | \(0.754297\pi\) | |||||||
\(674\) | 1.56010 | − | 5.82237i | 0.0600928 | − | 0.224269i | ||||
\(675\) | 5.68879 | + | 9.85327i | 0.218961 | + | 0.379252i | ||||
\(676\) | −9.43235 | + | 8.94599i | −0.362783 | + | 0.344077i | ||||
\(677\) | 6.31593 | + | 3.64650i | 0.242741 | + | 0.140146i | 0.616436 | − | 0.787405i | \(-0.288576\pi\) |
−0.373695 | + | 0.927552i | \(0.621909\pi\) | |||||||
\(678\) | 9.17439 | − | 2.45827i | 0.352340 | − | 0.0944094i | ||||
\(679\) | −24.2261 | + | 11.5028i | −0.929711 | + | 0.441436i | ||||
\(680\) | 17.3917 | − | 10.0411i | 0.666941 | − | 0.385059i | ||||
\(681\) | 0.180944 | + | 0.675293i | 0.00693380 | + | 0.0258773i | ||||
\(682\) | 20.1735 | − | 5.40548i | 0.772484 | − | 0.206987i | ||||
\(683\) | −45.0392 | + | 12.0682i | −1.72338 | + | 0.461777i | −0.978640 | − | 0.205582i | \(-0.934091\pi\) |
−0.744736 | + | 0.667359i | \(0.767425\pi\) | |||||||
\(684\) | −0.375603 | − | 1.40177i | −0.0143616 | − | 0.0535980i | ||||
\(685\) | 61.9118 | − | 35.7448i | 2.36553 | − | 1.36574i | ||||
\(686\) | −17.7852 | + | 5.16589i | −0.679042 | + | 0.197234i | ||||
\(687\) | −13.8280 | + | 3.70519i | −0.527570 | + | 0.141362i | ||||
\(688\) | 8.45709 | + | 4.88270i | 0.322424 | + | 0.186151i | ||||
\(689\) | 5.93547 | − | 13.8099i | 0.226123 | − | 0.526115i | ||||
\(690\) | 10.9927 | + | 19.0400i | 0.418486 | + | 0.724840i | ||||
\(691\) | −7.53901 | + | 28.1360i | −0.286798 | + | 1.07034i | 0.660718 | + | 0.750634i | \(0.270252\pi\) |
−0.947516 | + | 0.319709i | \(0.896415\pi\) | |||||||
\(692\) | 6.26529 | + | 3.61727i | 0.238170 | + | 0.137508i | ||||
\(693\) | 1.07631 | − | 13.3739i | 0.0408857 | − | 0.508031i | ||||
\(694\) | 21.3572 | − | 21.3572i | 0.810710 | − | 0.810710i | ||||
\(695\) | −36.5741 | + | 36.5741i | −1.38734 | + | 1.38734i | ||||
\(696\) | −2.19730 | − | 8.20043i | −0.0832884 | − | 0.310837i | ||||
\(697\) | 4.60120 | − | 17.1719i | 0.174283 | − | 0.650433i | ||||
\(698\) | − | 18.0171i | − | 0.681959i | ||||||
\(699\) | 8.48375 | − | 14.6943i | 0.320885 | − | 0.555789i | ||||
\(700\) | −19.5094 | − | 22.9244i | −0.737385 | − | 0.866461i | ||||
\(701\) | − | 52.2166i | − | 1.97219i | −0.166172 | − | 0.986097i | \(-0.553141\pi\) | ||
0.166172 | − | 0.986097i | \(-0.446859\pi\) | |||||||
\(702\) | −3.34906 | + | 1.33560i | −0.126402 | + | 0.0504089i | ||||
\(703\) | −0.981955 | + | 0.566932i | −0.0370351 | + | 0.0213822i | ||||
\(704\) | 3.58587 | − | 3.58587i | 0.135148 | − | 0.135148i | ||||
\(705\) | −10.3085 | + | 5.95164i | −0.388242 | + | 0.224152i | ||||
\(706\) | 0.838610 | + | 1.45252i | 0.0315615 | + | 0.0546661i | ||||
\(707\) | −6.73083 | − | 7.90903i | −0.253139 | − | 0.297450i | ||||
\(708\) | 0.903539 | + | 0.242102i | 0.0339571 | + | 0.00909877i | ||||
\(709\) | −7.29179 | − | 7.29179i | −0.273849 | − | 0.273849i | 0.556799 | − | 0.830648i | \(-0.312029\pi\) |
−0.830648 | + | 0.556799i | \(0.812029\pi\) | |||||||
\(710\) | 17.3412 | + | 4.64656i | 0.650803 | + | 0.174382i | ||||
\(711\) | −1.32924 | + | 2.30231i | −0.0498503 | + | 0.0863433i | ||||
\(712\) | −3.20004 | − | 5.54263i | −0.119927 | − | 0.207719i | ||||
\(713\) | −5.79077 | − | 21.6114i | −0.216866 | − | 0.809355i | ||||
\(714\) | −1.05321 | + | 13.0868i | −0.0394154 | + | 0.489762i | ||||
\(715\) | 8.68706 | + | 73.4839i | 0.324878 | + | 2.74814i | ||||
\(716\) | −8.06082 | + | 13.9618i | −0.301247 | + | 0.521775i | ||||
\(717\) | 10.9179 | + | 10.9179i | 0.407736 | + | 0.407736i | ||||
\(718\) | −0.222098 | −0.00828862 | ||||||||
\(719\) | −24.1413 | −0.900318 | −0.450159 | − | 0.892948i | \(-0.648633\pi\) | ||||
−0.450159 | + | 0.892948i | \(0.648633\pi\) | |||||||
\(720\) | −2.86161 | − | 2.86161i | −0.106646 | − | 0.106646i | ||||
\(721\) | 18.3476 | − | 3.36702i | 0.683299 | − | 0.125394i | ||||
\(722\) | −4.37248 | + | 16.3183i | −0.162727 | + | 0.607305i | ||||
\(723\) | 0.336456 | − | 0.0901532i | 0.0125129 | − | 0.00335283i | ||||
\(724\) | 5.50474 | + | 3.17816i | 0.204582 | + | 0.118116i | ||||
\(725\) | 96.5923i | 3.58735i | ||||||||
\(726\) | −14.2154 | − | 3.80902i | −0.527585 | − | 0.141366i | ||||
\(727\) | 50.2420 | 1.86337 | 0.931686 | − | 0.363265i | \(-0.118338\pi\) | ||||
0.931686 | + | 0.363265i | \(0.118338\pi\) | |||||||
\(728\) | 8.07741 | − | 5.07498i | 0.299369 | − | 0.188091i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −51.9411 | − | 13.9176i | −1.92243 | − | 0.515113i | ||||
\(731\) | 48.4593i | 1.79233i | ||||||||
\(732\) | −10.4863 | − | 6.05427i | −0.387585 | − | 0.223772i | ||||
\(733\) | −23.0344 | + | 6.17205i | −0.850796 | + | 0.227970i | −0.657765 | − | 0.753223i | \(-0.728498\pi\) |
−0.193030 | + | 0.981193i | \(0.561832\pi\) | |||||||
\(734\) | −2.18422 | + | 8.15161i | −0.0806209 | + | 0.300881i | ||||
\(735\) | 28.1835 | − | 2.86161i | 1.03957 | − | 0.105552i | ||||
\(736\) | −3.84146 | − | 3.84146i | −0.141598 | − | 0.141598i | ||||
\(737\) | −46.6405 | −1.71803 | ||||||||
\(738\) | −3.58252 | −0.131874 | ||||||||
\(739\) | −28.9229 | − | 28.9229i | −1.06395 | − | 1.06395i | −0.997811 | − | 0.0661374i | \(-0.978932\pi\) |
−0.0661374 | − | 0.997811i | \(-0.521068\pi\) | |||||||
\(740\) | −1.58097 | + | 2.73831i | −0.0581175 | + | 0.100662i | ||||
\(741\) | −5.17819 | − | 0.751536i | −0.190226 | − | 0.0276084i | ||||
\(742\) | −6.26352 | + | 9.07910i | −0.229941 | + | 0.333304i | ||||
\(743\) | −4.35552 | − | 16.2550i | −0.159789 | − | 0.596339i | −0.998648 | − | 0.0519903i | \(-0.983443\pi\) |
0.838859 | − | 0.544349i | \(-0.183223\pi\) | |||||||
\(744\) | 2.05920 | + | 3.56664i | 0.0754940 | + | 0.130759i | ||||
\(745\) | 23.6031 | − | 40.8818i | 0.864752 | − | 1.49779i | ||||
\(746\) | 9.93480 | + | 2.66202i | 0.363739 | + | 0.0974636i | ||||
\(747\) | −1.02375 | − | 1.02375i | −0.0374569 | − | 0.0374569i | ||||
\(748\) | 24.3075 | + | 6.51317i | 0.888769 | + | 0.238145i | ||||
\(749\) | 7.04375 | − | 19.7798i | 0.257373 | − | 0.722740i | ||||
\(750\) | 12.9048 | + | 22.3517i | 0.471215 | + | 0.816169i | ||||
\(751\) | 16.1027 | − | 9.29688i | 0.587595 | − | 0.339248i | −0.176551 | − | 0.984291i | \(-0.556494\pi\) |
0.764146 | + | 0.645043i | \(0.223161\pi\) | |||||||
\(752\) | 2.07983 | − | 2.07983i | 0.0758434 | − | 0.0758434i | ||||
\(753\) | 0.463770 | − | 0.267758i | 0.0169007 | − | 0.00975763i | ||||
\(754\) | −30.2927 | − | 4.39652i | −1.10320 | − | 0.160112i | ||||
\(755\) | 67.1821i | 2.44501i | ||||||||
\(756\) | 2.60230 | − | 0.477555i | 0.0946446 | − | 0.0173685i | ||||
\(757\) | 24.4862 | − | 42.4113i | 0.889964 | − | 1.54146i | 0.0500485 | − | 0.998747i | \(-0.484062\pi\) |
0.839916 | − | 0.542717i | \(-0.182604\pi\) | |||||||
\(758\) | − | 23.2904i | − | 0.845944i | ||||||
\(759\) | −7.13045 | + | 26.6112i | −0.258819 | + | 0.965925i | ||||
\(760\) | −1.52004 | − | 5.67286i | −0.0551375 | − | 0.205776i | ||||
\(761\) | 31.5422 | − | 31.5422i | 1.14340 | − | 1.14340i | 0.155581 | − | 0.987823i | \(-0.450275\pi\) |
0.987823 | − | 0.155581i | \(-0.0497250\pi\) | |||||||
\(762\) | 10.0219 | − | 10.0219i | 0.363056 | − | 0.363056i | ||||
\(763\) | −3.26007 | − | 6.86606i | −0.118022 | − | 0.248568i | ||||
\(764\) | −18.0461 | − | 10.4189i | −0.652886 | − | 0.376944i | ||||
\(765\) | 5.19766 | − | 19.3979i | 0.187922 | − | 0.701333i | ||||
\(766\) | 3.85399 | + | 6.67530i | 0.139250 | + | 0.241188i | ||||
\(767\) | 2.08837 | − | 2.64833i | 0.0754067 | − | 0.0956257i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | −17.1234 | + | 4.58821i | −0.617487 | + | 0.165455i | −0.553985 | − | 0.832527i | \(-0.686894\pi\) |
−0.0635019 | + | 0.997982i | \(0.520227\pi\) | |||||||
\(770\) | 4.35575 | − | 54.1229i | 0.156970 | − | 1.95046i | ||||
\(771\) | 18.3934 | − | 10.6194i | 0.662422 | − | 0.382449i | ||||
\(772\) | −2.78045 | − | 10.3768i | −0.100071 | − | 0.373468i | ||||
\(773\) | 7.81454 | − | 2.09390i | 0.281070 | − | 0.0753124i | −0.115530 | − | 0.993304i | \(-0.536857\pi\) |
0.396600 | + | 0.917992i | \(0.370190\pi\) | |||||||
\(774\) | 9.43266 | − | 2.52747i | 0.339050 | − | 0.0908482i | ||||
\(775\) | −12.1276 | − | 45.2608i | −0.435636 | − | 1.62582i | ||||
\(776\) | −8.77832 | + | 5.06816i | −0.315123 | + | 0.181936i | ||||
\(777\) | −0.886644 | − | 1.86737i | −0.0318082 | − | 0.0669915i | ||||
\(778\) | 25.4308 | − | 6.81416i | 0.911738 | − | 0.244299i | ||||
\(779\) | −4.50249 | − | 2.59951i | −0.161318 | − | 0.0931372i | ||||
\(780\) | −13.5534 | + | 5.40507i | −0.485288 | + | 0.193532i | ||||
\(781\) | 11.2484 | + | 19.4827i | 0.402498 | + | 0.697147i | ||||
\(782\) | 6.97741 | − | 26.0400i | 0.249512 | − | 0.931190i | ||||
\(783\) | −7.35231 | − | 4.24486i | −0.262750 | − | 0.151699i | ||||
\(784\) | −6.54388 | + | 2.48548i | −0.233710 | + | 0.0887671i | ||||
\(785\) | 64.2981 | − | 64.2981i | 2.29490 | − | 2.29490i | ||||
\(786\) | −7.02788 | + | 7.02788i | −0.250676 | + | 0.250676i | ||||
\(787\) | −7.43270 | − | 27.7392i | −0.264947 | − | 0.988796i | −0.962283 | − | 0.272051i | \(-0.912298\pi\) |
0.697336 | − | 0.716745i | \(-0.254369\pi\) | |||||||
\(788\) | −3.04663 | + | 11.3702i | −0.108532 | + | 0.405046i | ||||
\(789\) | 12.4316i | 0.442575i | ||||||||
\(790\) | −5.37932 | + | 9.31726i | −0.191388 | + | 0.331493i | ||||
\(791\) | −8.43020 | + | 23.6732i | −0.299743 | + | 0.841722i | ||||
\(792\) | − | 5.07118i | − | 0.180197i | ||||||
\(793\) | −34.9847 | + | 26.1168i | −1.24234 | + | 0.927434i | ||||
\(794\) | −9.05417 | + | 5.22743i | −0.321320 | + | 0.185514i | ||||
\(795\) | 11.9299 | − | 11.9299i | 0.423111 | − | 0.423111i | ||||
\(796\) | −16.8205 | + | 9.71131i | −0.596186 | + | 0.344208i | ||||
\(797\) | 8.46866 | + | 14.6682i | 0.299975 | + | 0.519573i | 0.976130 | − | 0.217187i | \(-0.0696882\pi\) |
−0.676155 | + | 0.736760i | \(0.736355\pi\) | |||||||
\(798\) | 3.61707 | + | 1.28806i | 0.128043 | + | 0.0455969i | ||||
\(799\) | 14.0985 | + | 3.77768i | 0.498768 | + | 0.133645i | ||||
\(800\) | −8.04516 | − | 8.04516i | −0.284439 | − | 0.284439i | ||||
\(801\) | −6.18200 | − | 1.65646i | −0.218430 | − | 0.0585282i | ||||
\(802\) | 5.12725 | − | 8.88066i | 0.181049 | − | 0.313587i | ||||
\(803\) | −33.6917 | − | 58.3557i | −1.18895 | − | 2.05933i | ||||
\(804\) | −2.38040 | − | 8.88378i | −0.0839503 | − | 0.313307i | ||||
\(805\) | −57.9806 | − | 4.66622i | −2.04355 | − | 0.164462i | ||||
\(806\) | 14.7464 | − | 1.74328i | 0.519421 | − | 0.0614044i | ||||
\(807\) | 5.02137 | − | 8.69727i | 0.176761 | − | 0.306158i | ||||
\(808\) | −2.77562 | − | 2.77562i | −0.0976459 | − | 0.0976459i | ||||
\(809\) | 44.4319 | 1.56214 | 0.781072 | − | 0.624441i | \(-0.214673\pi\) | ||||
0.781072 | + | 0.624441i | \(0.214673\pi\) | |||||||
\(810\) | −4.04692 | −0.142194 | ||||||||
\(811\) | 8.45727 | + | 8.45727i | 0.296975 | + | 0.296975i | 0.839828 | − | 0.542853i | \(-0.182656\pi\) |
−0.542853 | + | 0.839828i | \(0.682656\pi\) | |||||||
\(812\) | 21.1600 | + | 7.53524i | 0.742571 | + | 0.264435i | ||||
\(813\) | 5.01468 | − | 18.7150i | 0.175873 | − | 0.656365i | ||||
\(814\) | −3.82720 | + | 1.02549i | −0.134143 | + | 0.0359436i | ||||
\(815\) | −2.67618 | − | 1.54509i | −0.0937425 | − | 0.0541222i | ||||
\(816\) | 4.96234i | 0.173717i | ||||||||
\(817\) | 13.6889 | + | 3.66792i | 0.478913 | + | 0.128324i | ||||
\(818\) | −15.5883 | −0.545031 | ||||||||
\(819\) | 2.12304 | − | 9.30015i | 0.0741849 | − | 0.324973i | ||||
\(820\) | −14.4982 | −0.506298 | ||||||||
\(821\) | 9.86182 | + | 2.64247i | 0.344180 | + | 0.0922228i | 0.426768 | − | 0.904361i | \(-0.359652\pi\) |
−0.0825883 | + | 0.996584i | \(0.526319\pi\) | |||||||
\(822\) | 17.6652i | 0.616143i | ||||||||
\(823\) | 5.29182 | + | 3.05524i | 0.184461 | + | 0.106499i | 0.589387 | − | 0.807851i | \(-0.299369\pi\) |
−0.404926 | + | 0.914350i | \(0.632703\pi\) | |||||||
\(824\) | 6.81029 | − | 1.82481i | 0.237248 | − | 0.0635703i | ||||
\(825\) | −14.9333 | + | 55.7318i | −0.519910 | + | 1.94033i | ||||
\(826\) | −1.88474 | + | 1.60397i | −0.0655785 | + | 0.0558093i | ||||
\(827\) | 10.6347 | + | 10.6347i | 0.369805 | + | 0.369805i | 0.867406 | − | 0.497601i | \(-0.165786\pi\) |
−0.497601 | + | 0.867406i | \(0.665786\pi\) | |||||||
\(828\) | −5.43264 | −0.188797 | ||||||||
\(829\) | 47.0104 | 1.63274 | 0.816369 | − | 0.577531i | \(-0.195984\pi\) | ||||
0.816369 | + | 0.577531i | \(0.195984\pi\) | |||||||
\(830\) | −4.14302 | − | 4.14302i | −0.143806 | − | 0.143806i | ||||
\(831\) | 11.1689 | − | 19.3451i | 0.387444 | − | 0.671073i | ||||
\(832\) | 2.88926 | − | 2.15689i | 0.100167 | − | 0.0747767i | ||||
\(833\) | −26.9179 | − | 21.9555i | −0.932649 | − | 0.760714i | ||||
\(834\) | −3.30796 | − | 12.3455i | −0.114545 | − | 0.427489i | ||||
\(835\) | −0.0295453 | − | 0.0511739i | −0.00102246 | − | 0.00177095i | ||||
\(836\) | 3.67970 | − | 6.37343i | 0.127265 | − | 0.220430i | ||||
\(837\) | 3.97807 | + | 1.06592i | 0.137502 | + | 0.0368436i | ||||
\(838\) | 12.0587 | + | 12.0587i | 0.416562 | + | 0.416562i | ||||
\(839\) | −46.1618 | − | 12.3690i | −1.59368 | − | 0.427026i | −0.650556 | − | 0.759458i | \(-0.725464\pi\) |
−0.943127 | + | 0.332432i | \(0.892131\pi\) | |||||||
\(840\) | 10.5313 | − | 1.93263i | 0.363364 | − | 0.0666820i | ||||
\(841\) | −21.5376 | − | 37.3042i | −0.742676 | − | 1.28635i | ||||
\(842\) | 27.5270 | − | 15.8927i | 0.948644 | − | 0.547700i | ||||
\(843\) | −19.3688 | + | 19.3688i | −0.667097 | + | 0.667097i | ||||
\(844\) | −2.94196 | + | 1.69854i | −0.101266 | + | 0.0584662i | ||||
\(845\) | −1.39176 | + | 52.5916i | −0.0478779 | + | 1.80920i | ||||
\(846\) | − | 2.94132i | − | 0.101125i | ||||||
\(847\) | 29.6528 | − | 25.2354i | 1.01888 | − | 0.867099i | ||||
\(848\) | −2.08448 | + | 3.61043i | −0.0715814 | + | 0.123983i | ||||
\(849\) | 11.1732i | 0.383465i | ||||||||
\(850\) | 14.6128 | − | 54.5356i | 0.501214 | − | 1.87056i | ||||
\(851\) | 1.09859 | + | 4.09999i | 0.0376591 | + | 0.140546i | ||||
\(852\) | −3.13686 | + | 3.13686i | −0.107467 | + | 0.107467i | ||||
\(853\) | −27.3996 | + | 27.3996i | −0.938143 | + | 0.938143i | −0.998195 | − | 0.0600519i | \(-0.980873\pi\) |
0.0600519 | + | 0.998195i | \(0.480873\pi\) | |||||||
\(854\) | 28.9397 | − | 13.7409i | 0.990296 | − | 0.470202i | ||||
\(855\) | −5.08614 | − | 2.93649i | −0.173942 | − | 0.100426i | ||||
\(856\) | 2.05398 | − | 7.66555i | 0.0702035 | − | 0.262003i | ||||
\(857\) | −24.0598 | − | 41.6729i | −0.821869 | − | 1.42352i | −0.904289 | − | 0.426921i | \(-0.859598\pi\) |
0.0824204 | − | 0.996598i | \(-0.473735\pi\) | |||||||
\(858\) | −16.7986 | − | 7.21999i | −0.573493 | − | 0.246486i | ||||
\(859\) | 39.5475 | + | 22.8327i | 1.34934 | + | 0.779043i | 0.988156 | − | 0.153451i | \(-0.0490387\pi\) |
0.361186 | + | 0.932494i | \(0.382372\pi\) | |||||||
\(860\) | 38.1732 | − | 10.2285i | 1.30170 | − | 0.348789i | ||||
\(861\) | 5.38244 | − | 7.80195i | 0.183433 | − | 0.265890i | ||||
\(862\) | −23.3049 | + | 13.4551i | −0.793769 | + | 0.458283i | ||||
\(863\) | 6.69091 | + | 24.9708i | 0.227761 | + | 0.850016i | 0.981279 | + | 0.192589i | \(0.0616884\pi\) |
−0.753518 | + | 0.657427i | \(0.771645\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | 28.2800 | − | 7.57759i | 0.961548 | − | 0.257646i | ||||
\(866\) | −5.63401 | − | 21.0264i | −0.191451 | − | 0.714506i | ||||
\(867\) | −6.60330 | + | 3.81242i | −0.224260 | + | 0.129476i | ||||
\(868\) | −10.8611 | − | 0.874093i | −0.368651 | − | 0.0296686i | ||||
\(869\) | −13.0223 | + | 3.48930i | −0.441750 | + | 0.118366i | ||||
\(870\) | −29.7542 | − | 17.1786i | −1.00876 | − | 0.582409i | ||||
\(871\) | −32.8170 | − | 4.76289i | −1.11196 | − | 0.161384i | ||||
\(872\) | −1.43640 | − | 2.48792i | −0.0486426 | − | 0.0842515i | ||||
\(873\) | −2.62347 | + | 9.79094i | −0.0887912 | + | 0.331373i | ||||
\(874\) | −6.82771 | − | 3.94198i | −0.230951 | − | 0.133339i | ||||
\(875\) | −68.0655 | − | 5.47784i | −2.30104 | − | 0.185185i | ||||
\(876\) | 9.39568 | − | 9.39568i | 0.317450 | − | 0.317450i | ||||
\(877\) | −0.815934 | + | 0.815934i | −0.0275521 | + | 0.0275521i | −0.720749 | − | 0.693197i | \(-0.756202\pi\) |
0.693197 | + | 0.720749i | \(0.256202\pi\) | |||||||
\(878\) | 0.428458 | + | 1.59903i | 0.0144598 | + | 0.0539645i | ||||
\(879\) | −5.14048 | + | 19.1845i | −0.173384 | + | 0.647079i | ||||
\(880\) | − | 20.5227i | − | 0.691820i | ||||||
\(881\) | 15.2953 | − | 26.4923i | 0.515312 | − | 0.892547i | −0.484530 | − | 0.874775i | \(-0.661009\pi\) |
0.999842 | − | 0.0177724i | \(-0.00565742\pi\) | |||||||
\(882\) | −2.86972 | + | 6.38472i | −0.0966287 | + | 0.214985i | ||||
\(883\) | 7.60820i | 0.256036i | 0.991772 | + | 0.128018i | \(0.0408616\pi\) | ||||
−0.991772 | + | 0.128018i | \(0.959138\pi\) | |||||||
\(884\) | 16.4380 | + | 7.06503i | 0.552870 | + | 0.237623i | ||||
\(885\) | 3.27837 | − | 1.89277i | 0.110201 | − | 0.0636248i | ||||
\(886\) | 20.8013 | − | 20.8013i | 0.698835 | − | 0.698835i | ||||
\(887\) | 18.5517 | − | 10.7109i | 0.622907 | − | 0.359635i | −0.155093 | − | 0.987900i | \(-0.549568\pi\) |
0.778000 | + | 0.628265i | \(0.216234\pi\) | |||||||
\(888\) | −0.390659 | − | 0.676641i | −0.0131097 | − | 0.0227066i | ||||
\(889\) | 6.76845 | + | 36.8827i | 0.227007 | + | 1.23701i | ||||
\(890\) | −25.0181 | − | 6.70357i | −0.838608 | − | 0.224704i | ||||
\(891\) | −3.58587 | − | 3.58587i | −0.120131 | − | 0.120131i | ||||
\(892\) | 18.6599 | + | 4.99990i | 0.624779 | + | 0.167409i | ||||
\(893\) | 2.13425 | − | 3.69663i | 0.0714199 | − | 0.123703i | ||||
\(894\) | 5.83237 | + | 10.1020i | 0.195064 | + | 0.337860i | ||||
\(895\) | 16.8861 | + | 63.0199i | 0.564441 | + | 2.10652i | ||||
\(896\) | −2.39002 | + | 1.13481i | −0.0798451 | + | 0.0379112i | ||||
\(897\) | −7.73461 | + | 17.9959i | −0.258251 | + | 0.600866i | ||||
\(898\) | 17.2266 | − | 29.8373i | 0.574857 | − | 0.995682i | ||||
\(899\) | 24.7233 | + | 24.7233i | 0.824569 | + | 0.824569i | ||||
\(900\) | −11.3776 | −0.379252 | ||||||||
\(901\) | −20.6878 | −0.689211 | ||||||||
\(902\) | −12.8464 | − | 12.8464i | −0.427740 | − | 0.427740i | ||||
\(903\) | −8.66751 | + | 24.3396i | −0.288437 | + | 0.809972i | ||||
\(904\) | −2.45827 | + | 9.17439i | −0.0817609 | + | 0.305136i | ||||
\(905\) | 24.8471 | − | 6.65775i | 0.825944 | − | 0.221311i | ||||
\(906\) | −14.3767 | − | 8.30039i | −0.477634 | − | 0.275762i | ||||
\(907\) | 28.7807i | 0.955648i | 0.878456 | + | 0.477824i | \(0.158574\pi\) | ||||
−0.878456 | + | 0.477824i | \(0.841426\pi\) | |||||||
\(908\) | −0.675293 | − | 0.180944i | −0.0224104 | − | 0.00600485i | ||||
\(909\) | −3.92532 | −0.130195 | ||||||||
\(910\) | 8.59176 | − | 37.6370i | 0.284814 | − | 1.24765i | ||||
\(911\) | 13.0247 | 0.431529 | 0.215764 | − | 0.976445i | \(-0.430776\pi\) | ||||
0.215764 | + | 0.976445i | \(0.430776\pi\) | |||||||
\(912\) | 1.40177 | + | 0.375603i | 0.0464173 | + | 0.0124375i | ||||
\(913\) | − | 7.34203i | − | 0.242986i | ||||||
\(914\) | 0.912341 | + | 0.526740i | 0.0301776 | + | 0.0174230i | ||||
\(915\) | −47.3326 | + | 12.6827i | −1.56477 | + | 0.419278i | ||||
\(916\) | 3.70519 | − | 13.8280i | 0.122423 | − | 0.456889i | ||||
\(917\) | −4.74639 | − | 25.8640i | −0.156739 | − | 0.854105i | ||||
\(918\) | 3.50891 | + | 3.50891i | 0.115811 | + | 0.115811i | ||||
\(919\) | 55.5363 | 1.83197 | 0.915986 | − | 0.401209i | \(-0.131410\pi\) | ||||
0.915986 | + | 0.401209i | \(0.131410\pi\) | |||||||
\(920\) | −21.9855 | −0.724840 | ||||||||
\(921\) | 2.00335 | + | 2.00335i | 0.0660128 | + | 0.0660128i | ||||
\(922\) | −9.89949 | + | 17.1464i | −0.326022 | + | 0.564687i | ||||
\(923\) | 5.92497 | + | 14.8570i | 0.195023 | + | 0.489026i | ||||
\(924\) | 11.0439 | + | 7.61904i | 0.363319 | + | 0.250648i | ||||
\(925\) | 2.30077 | + | 8.58660i | 0.0756489 | + | 0.282326i | ||||
\(926\) | −0.930683 | − | 1.61199i | −0.0305841 | − | 0.0529733i | ||||
\(927\) | 3.52526 | − | 6.10594i | 0.115785 | − | 0.200545i | ||||
\(928\) | 8.20043 | + | 2.19730i | 0.269192 | + | 0.0721299i | ||||
\(929\) | 19.5354 | + | 19.5354i | 0.640936 | + | 0.640936i | 0.950786 | − | 0.309849i | \(-0.100279\pi\) |
−0.309849 | + | 0.950786i | \(0.600279\pi\) | |||||||
\(930\) | 16.0989 | + | 4.31370i | 0.527905 | + | 0.141452i | ||||
\(931\) | −8.23947 | + | 5.94197i | −0.270038 | + | 0.194740i | ||||
\(932\) | 8.48375 | + | 14.6943i | 0.277894 | + | 0.481327i | ||||
\(933\) | −18.1233 | + | 10.4635i | −0.593332 | + | 0.342560i | ||||
\(934\) | −15.9968 | + | 15.9968i | −0.523431 | + | 0.523431i | ||||
\(935\) | 88.1965 | − | 50.9203i | 2.88433 | − | 1.66527i | ||||
\(936\) | 0.517865 | − | 3.56817i | 0.0169269 | − | 0.116629i | ||||
\(937\) | 3.19610i | 0.104412i | 0.998636 | + | 0.0522060i | \(0.0166253\pi\) | ||||
−0.998636 | + | 0.0522060i | \(0.983375\pi\) | |||||||
\(938\) | 22.9233 | + | 8.16315i | 0.748472 | + | 0.266536i | ||||
\(939\) | −12.8554 | + | 22.2663i | −0.419521 | + | 0.726632i | ||||
\(940\) | − | 11.9033i | − | 0.388242i | ||||||
\(941\) | −4.20141 | + | 15.6799i | −0.136962 | + | 0.511149i | 0.863020 | + | 0.505169i | \(0.168570\pi\) |
−0.999982 | + | 0.00597943i | \(0.998097\pi\) | |||||||
\(942\) | 5.81547 | + | 21.7036i | 0.189478 | + | 0.707142i | ||||
\(943\) | −13.7621 | + | 13.7621i | −0.448156 | + | 0.448156i | ||||
\(944\) | −0.661436 | + | 0.661436i | −0.0215279 | + | 0.0215279i | ||||
\(945\) | 6.08017 | − | 8.81332i | 0.197788 | − | 0.286697i | ||||
\(946\) | 42.8875 | + | 24.7611i | 1.39439 | + | 0.805053i | ||||
\(947\) | 2.38139 | − | 8.88747i | 0.0773848 | − | 0.288804i | −0.916379 | − | 0.400313i | \(-0.868902\pi\) |
0.993763 | + | 0.111508i | \(0.0355682\pi\) | |||||||
\(948\) | −1.32924 | − | 2.30231i | −0.0431717 | − | 0.0747755i | ||||
\(949\) | −17.7468 | − | 44.5006i | −0.576084 | − | 1.44455i | ||||
\(950\) | −14.2993 | − | 8.25568i | −0.463929 | − | 0.267850i | ||||
\(951\) | 31.4472 | − | 8.42624i | 1.01974 | − | 0.273240i | ||||
\(952\) | −10.8069 | − | 7.45551i | −0.350254 | − | 0.241635i | ||||
\(953\) | −13.0704 | + | 7.54618i | −0.423391 | + | 0.244445i | −0.696527 | − | 0.717531i | \(-0.745272\pi\) |
0.273136 | + | 0.961975i | \(0.411939\pi\) | |||||||
\(954\) | 1.07901 | + | 4.02691i | 0.0349341 | + | 0.130376i | ||||
\(955\) | −81.4558 | + | 21.8260i | −2.63585 | + | 0.706273i | ||||
\(956\) | −14.9141 | + | 3.99622i | −0.482357 | + | 0.129247i | ||||
\(957\) | −11.1429 | − | 41.5859i | −0.360199 | − | 1.34428i | ||||
\(958\) | −22.5476 | + | 13.0179i | −0.728481 | + | 0.420589i | ||||
\(959\) | −38.4709 | − | 26.5405i | −1.24229 | − | 0.857036i | ||||
\(960\) | 3.90903 | − | 1.04742i | 0.126163 | − | 0.0338053i | ||||
\(961\) | 12.1579 | + | 7.01939i | 0.392191 | + | 0.226432i | ||||
\(962\) | −2.79760 | + | 0.330724i | −0.0901983 | + | 0.0106630i | ||||
\(963\) | −3.96798 | − | 6.87275i | −0.127866 | − | 0.221471i | ||||
\(964\) | −0.0901532 | + | 0.336456i | −0.00290364 | + | 0.0108365i | ||||
\(965\) | −37.6508 | − | 21.7377i | −1.21202 | − | 0.699761i | ||||
\(966\) | 8.16210 | − | 11.8311i | 0.262611 | − | 0.380660i | ||||
\(967\) | 39.3450 | − | 39.3450i | 1.26525 | − | 1.26525i | 0.316735 | − | 0.948514i | \(-0.397413\pi\) |
0.948514 | − | 0.316735i | \(-0.102587\pi\) | |||||||
\(968\) | 10.4064 | − | 10.4064i | 0.334475 | − | 0.334475i | ||||
\(969\) | 1.86387 | + | 6.95606i | 0.0598762 | + | 0.223461i | ||||
\(970\) | −10.6170 | + | 39.6232i | −0.340891 | + | 1.27222i | ||||
\(971\) | 39.0924i | 1.25453i | 0.778804 | + | 0.627267i | \(0.215827\pi\) | ||||
−0.778804 | + | 0.627267i | \(0.784173\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | 31.8557 | + | 11.3441i | 1.02125 | + | 0.363674i | ||||
\(974\) | − | 2.69607i | − | 0.0863877i | ||||||
\(975\) | −16.1986 | + | 37.6888i | −0.518770 | + | 1.20701i | ||||
\(976\) | 10.4863 | − | 6.05427i | 0.335658 | − | 0.193792i | ||||
\(977\) | −4.90116 | + | 4.90116i | −0.156802 | + | 0.156802i | −0.781148 | − | 0.624346i | \(-0.785366\pi\) |
0.624346 | + | 0.781148i | \(0.285366\pi\) | |||||||
\(978\) | 0.661288 | − | 0.381795i | 0.0211456 | − | 0.0122084i | ||||
\(979\) | −16.2280 | − | 28.1077i | −0.518649 | − | 0.898326i | ||||
\(980\) | −11.6136 | + | 25.8385i | −0.370981 | + | 0.825380i | ||||
\(981\) | −2.77491 | − | 0.743535i | −0.0885960 | − | 0.0237392i | ||||
\(982\) | −22.1123 | − | 22.1123i | −0.705631 | − | 0.705631i | ||||
\(983\) | −1.65319 | − | 0.442972i | −0.0527287 | − | 0.0141286i | 0.232358 | − | 0.972630i | \(-0.425356\pi\) |
−0.285087 | + | 0.958502i | \(0.592022\pi\) | |||||||
\(984\) | 1.79126 | − | 3.10255i | 0.0571033 | − | 0.0989058i | ||||
\(985\) | 23.8187 | + | 41.2552i | 0.758927 | + | 1.31450i | ||||
\(986\) | 10.9037 | + | 40.6933i | 0.347246 | + | 1.29594i | ||||
\(987\) | 6.40555 | + | 4.41909i | 0.203891 | + | 0.140661i | ||||
\(988\) | 3.23995 | − | 4.10868i | 0.103076 | − | 0.130715i | ||||
\(989\) | 26.5260 | − | 45.9444i | 0.843477 | − | 1.46095i | ||||
\(990\) | −14.5117 | − | 14.5117i | −0.461213 | − | 0.461213i | ||||
\(991\) | −28.2764 | −0.898230 | −0.449115 | − | 0.893474i | \(-0.648261\pi\) | ||||
−0.449115 | + | 0.893474i | \(0.648261\pi\) | |||||||
\(992\) | −4.11840 | −0.130759 | ||||||||
\(993\) | −12.8665 | − | 12.8665i | −0.408307 | − | 0.408307i | ||||
\(994\) | −2.11852 | − | 11.5443i | −0.0671955 | − | 0.366162i | ||||
\(995\) | −20.3436 | + | 75.9235i | −0.644937 | + | 2.40694i | ||||
\(996\) | 1.39846 | − | 0.374717i | 0.0443120 | − | 0.0118734i | ||||
\(997\) | 0.0369001 | + | 0.0213043i | 0.00116864 | + | 0.000674713i | 0.500584 | − | 0.865688i | \(-0.333119\pi\) |
−0.499416 | + | 0.866363i | \(0.666452\pi\) | |||||||
\(998\) | − | 2.62804i | − | 0.0831890i | ||||||
\(999\) | −0.754695 | − | 0.202220i | −0.0238775 | − | 0.00639796i |
(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 | 546.2.by.b.19.5 | ✓ | 40 | |
7.3 | odd | 6 | 546.2.cg.b.409.10 | yes | 40 | ||
13.11 | odd | 12 | 546.2.cg.b.271.10 | yes | 40 | ||
91.24 | even | 12 | inner | 546.2.by.b.115.5 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.5 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.by.b.115.5 | yes | 40 | 91.24 | even | 12 | inner | |
546.2.cg.b.271.10 | yes | 40 | 13.11 | odd | 12 | ||
546.2.cg.b.409.10 | yes | 40 | 7.3 | odd | 6 |