Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), degree \(6\), 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: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.4 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.90734 | − | 0.601703i | −0.953671 | − | 0.300851i | ||||
\(3\) | −2.99807 | + | 0.107643i | −0.999356 | + | 0.0358811i | ||||
\(4\) | 3.27591 | + | 2.29531i | 0.818977 | + | 0.573827i | ||||
\(5\) | −0.755508 | − | 4.28470i | −0.151102 | − | 0.856939i | −0.962264 | − | 0.272118i | \(-0.912276\pi\) |
0.811162 | − | 0.584821i | \(-0.198835\pi\) | |||||||
\(6\) | 5.78311 | + | 1.59863i | 0.963852 | + | 0.266439i | ||||
\(7\) | −6.44162 | + | 7.67682i | −0.920232 | + | 1.09669i | 0.0748069 | + | 0.997198i | \(0.476166\pi\) |
−0.995038 | + | 0.0994912i | \(0.968278\pi\) | |||||||
\(8\) | −4.86718 | − | 6.34906i | −0.608398 | − | 0.793632i | ||||
\(9\) | 8.97683 | − | 0.645444i | 0.997425 | − | 0.0717160i | ||||
\(10\) | −1.13710 | + | 8.62697i | −0.113710 | + | 0.862697i | ||||
\(11\) | 16.5915 | + | 2.92553i | 1.50832 | + | 0.265957i | 0.865830 | − | 0.500338i | \(-0.166791\pi\) |
0.642489 | + | 0.766295i | \(0.277902\pi\) | |||||||
\(12\) | −10.0685 | − | 6.52886i | −0.839039 | − | 0.544071i | ||||
\(13\) | 7.70282 | + | 2.80360i | 0.592525 | + | 0.215661i | 0.620840 | − | 0.783938i | \(-0.286792\pi\) |
−0.0283148 | + | 0.999599i | \(0.509014\pi\) | |||||||
\(14\) | 16.9055 | − | 10.7664i | 1.20754 | − | 0.769028i | ||||
\(15\) | 2.72628 | + | 12.7645i | 0.181752 | + | 0.850966i | ||||
\(16\) | 5.46314 | + | 15.0384i | 0.341446 | + | 0.939901i | ||||
\(17\) | 13.2638 | + | 22.9735i | 0.780222 | + | 1.35138i | 0.931812 | + | 0.362941i | \(0.118227\pi\) |
−0.151590 | + | 0.988443i | \(0.548439\pi\) | |||||||
\(18\) | −17.5102 | − | 4.17030i | −0.972791 | − | 0.231683i | ||||
\(19\) | 10.2637 | + | 5.92574i | 0.540194 | + | 0.311881i | 0.745158 | − | 0.666888i | \(-0.232374\pi\) |
−0.204964 | + | 0.978770i | \(0.565708\pi\) | |||||||
\(20\) | 7.35972 | − | 15.7704i | 0.367986 | − | 0.788519i | ||||
\(21\) | 18.4861 | − | 23.7090i | 0.880289 | − | 1.12900i | ||||
\(22\) | −29.8854 | − | 15.5631i | −1.35843 | − | 0.707416i | ||||
\(23\) | −14.3578 | − | 17.1110i | −0.624252 | − | 0.743955i | 0.357543 | − | 0.933897i | \(-0.383615\pi\) |
−0.981795 | + | 0.189942i | \(0.939170\pi\) | |||||||
\(24\) | 15.2756 | + | 18.5110i | 0.636482 | + | 0.771291i | ||||
\(25\) | 5.70448 | − | 2.07626i | 0.228179 | − | 0.0830505i | ||||
\(26\) | −13.0050 | − | 9.98223i | −0.500192 | − | 0.383932i | ||||
\(27\) | −26.8437 | + | 2.90138i | −0.994210 | + | 0.107459i | ||||
\(28\) | −38.7228 | + | 10.3631i | −1.38296 | + | 0.370110i | ||||
\(29\) | −29.1256 | + | 10.6009i | −1.00433 | + | 0.365547i | −0.791254 | − | 0.611488i | \(-0.790571\pi\) |
−0.213078 | + | 0.977035i | \(0.568349\pi\) | |||||||
\(30\) | 2.48048 | − | 25.9867i | 0.0826825 | − | 0.866222i | ||||
\(31\) | 12.9259 | + | 15.4045i | 0.416965 | + | 0.496920i | 0.933115 | − | 0.359579i | \(-0.117080\pi\) |
−0.516150 | + | 0.856498i | \(0.672635\pi\) | |||||||
\(32\) | −1.37140 | − | 31.9706i | −0.0428564 | − | 0.999081i | ||||
\(33\) | −50.0574 | − | 6.98497i | −1.51689 | − | 0.211666i | ||||
\(34\) | −11.4753 | − | 51.7992i | −0.337509 | − | 1.52351i | ||||
\(35\) | 37.7596 | + | 21.8005i | 1.07884 | + | 0.622871i | ||||
\(36\) | 30.8887 | + | 18.4902i | 0.858021 | + | 0.513615i | ||||
\(37\) | 20.1962 | + | 34.9808i | 0.545842 | + | 0.945426i | 0.998553 | + | 0.0537690i | \(0.0171235\pi\) |
−0.452711 | + | 0.891657i | \(0.649543\pi\) | |||||||
\(38\) | −16.0108 | − | 17.4781i | −0.421338 | − | 0.459950i | ||||
\(39\) | −23.3954 | − | 7.57622i | −0.599881 | − | 0.194262i | ||||
\(40\) | −23.5266 | + | 25.6512i | −0.588165 | + | 0.641279i | ||||
\(41\) | −34.1160 | − | 12.4172i | −0.832096 | − | 0.302858i | −0.109377 | − | 0.994000i | \(-0.534886\pi\) |
−0.722719 | + | 0.691142i | \(0.757108\pi\) | |||||||
\(42\) | −49.5250 | + | 34.0981i | −1.17917 | + | 0.811860i | ||||
\(43\) | 25.3466 | + | 4.46929i | 0.589456 | + | 0.103937i | 0.460417 | − | 0.887703i | \(-0.347700\pi\) |
0.129039 | + | 0.991640i | \(0.458811\pi\) | |||||||
\(44\) | 47.6372 | + | 47.6664i | 1.08266 | + | 1.08333i | ||||
\(45\) | −9.54759 | − | 37.9753i | −0.212169 | − | 0.843896i | ||||
\(46\) | 17.0895 | + | 41.2756i | 0.371511 | + | 0.897295i | ||||
\(47\) | −12.9992 | + | 15.4919i | −0.276579 | + | 0.329614i | −0.886396 | − | 0.462928i | \(-0.846799\pi\) |
0.609817 | + | 0.792543i | \(0.291243\pi\) | |||||||
\(48\) | −17.9976 | − | 44.4981i | −0.374951 | − | 0.927045i | ||||
\(49\) | −8.93040 | − | 50.6468i | −0.182253 | − | 1.03361i | ||||
\(50\) | −12.1297 | + | 0.527738i | −0.242594 | + | 0.0105548i | ||||
\(51\) | −42.2386 | − | 67.4484i | −0.828209 | − | 1.32252i | ||||
\(52\) | 18.7986 | + | 26.8647i | 0.361512 | + | 0.516628i | ||||
\(53\) | 46.7045 | 0.881217 | 0.440609 | − | 0.897699i | \(-0.354763\pi\) | ||||
0.440609 | + | 0.897699i | \(0.354763\pi\) | |||||||
\(54\) | 52.9458 | + | 10.6180i | 0.980478 | + | 0.196629i | ||||
\(55\) | − | 73.2998i | − | 1.33272i | ||||||
\(56\) | 80.0931 | + | 3.53372i | 1.43023 | + | 0.0631021i | ||||
\(57\) | −31.4091 | − | 16.6610i | −0.551037 | − | 0.292298i | ||||
\(58\) | 61.9311 | − | 2.69449i | 1.06778 | − | 0.0464568i | ||||
\(59\) | 36.4280 | − | 6.42325i | 0.617424 | − | 0.108869i | 0.143817 | − | 0.989604i | \(-0.454062\pi\) |
0.473608 | + | 0.880736i | \(0.342951\pi\) | |||||||
\(60\) | −20.3674 | + | 48.0729i | −0.339456 | + | 0.801215i | ||||
\(61\) | 48.7491 | + | 40.9054i | 0.799166 | + | 0.670580i | 0.947996 | − | 0.318283i | \(-0.103106\pi\) |
−0.148830 | + | 0.988863i | \(0.547551\pi\) | |||||||
\(62\) | −15.3852 | − | 37.1592i | −0.248149 | − | 0.599342i | ||||
\(63\) | −52.8703 | + | 73.0712i | −0.839212 | + | 1.15986i | ||||
\(64\) | −16.6211 | + | 61.8040i | −0.259704 | + | 0.965688i | ||||
\(65\) | 6.19303 | − | 35.1224i | 0.0952773 | − | 0.540344i | ||||
\(66\) | 91.2737 | + | 43.4424i | 1.38293 | + | 0.658218i | ||||
\(67\) | 25.9527 | − | 71.3043i | 0.387353 | − | 1.06424i | −0.580835 | − | 0.814021i | \(-0.697274\pi\) |
0.968188 | − | 0.250223i | \(-0.0805038\pi\) | |||||||
\(68\) | −9.28040 | + | 105.704i | −0.136477 | + | 1.55446i | ||||
\(69\) | 44.8875 | + | 49.7543i | 0.650544 | + | 0.721077i | ||||
\(70\) | −58.9030 | − | 64.3010i | −0.841471 | − | 0.918586i | ||||
\(71\) | −17.4692 | + | 10.0858i | −0.246045 | + | 0.142054i | −0.617952 | − | 0.786216i | \(-0.712037\pi\) |
0.371907 | + | 0.928270i | \(0.378704\pi\) | |||||||
\(72\) | −47.7898 | − | 53.8529i | −0.663747 | − | 0.747957i | ||||
\(73\) | −50.2648 | + | 87.0613i | −0.688560 | + | 1.19262i | 0.283744 | + | 0.958900i | \(0.408423\pi\) |
−0.972304 | + | 0.233720i | \(0.924910\pi\) | |||||||
\(74\) | −17.4729 | − | 78.8724i | −0.236121 | − | 1.06584i | ||||
\(75\) | −16.8789 | + | 6.83883i | −0.225053 | + | 0.0911844i | ||||
\(76\) | 20.0215 | + | 42.9705i | 0.263441 | + | 0.565401i | ||||
\(77\) | −129.335 | + | 108.525i | −1.67967 | + | 1.40941i | ||||
\(78\) | 40.0643 | + | 28.5275i | 0.513645 | + | 0.365737i | ||||
\(79\) | −29.7876 | − | 81.8406i | −0.377058 | − | 1.03596i | −0.972570 | − | 0.232611i | \(-0.925273\pi\) |
0.595512 | − | 0.803346i | \(-0.296949\pi\) | |||||||
\(80\) | 60.3076 | − | 34.7695i | 0.753845 | − | 0.434619i | ||||
\(81\) | 80.1668 | − | 11.5881i | 0.989714 | − | 0.143063i | ||||
\(82\) | 57.5993 | + | 44.2115i | 0.702431 | + | 0.539165i | ||||
\(83\) | 25.2237 | + | 69.3017i | 0.303900 | + | 0.834960i | 0.993813 | + | 0.111067i | \(0.0354268\pi\) |
−0.689912 | + | 0.723893i | \(0.742351\pi\) | |||||||
\(84\) | 114.978 | − | 35.2374i | 1.36879 | − | 0.419493i | ||||
\(85\) | 88.4137 | − | 74.1879i | 1.04016 | − | 0.872799i | ||||
\(86\) | −45.6555 | − | 23.7756i | −0.530878 | − | 0.276461i | ||||
\(87\) | 86.1795 | − | 34.9173i | 0.990569 | − | 0.401348i | ||||
\(88\) | −62.1795 | − | 119.580i | −0.706586 | − | 1.35886i | ||||
\(89\) | −37.6081 | + | 65.1392i | −0.422563 | + | 0.731901i | −0.996189 | − | 0.0872163i | \(-0.972203\pi\) |
0.573626 | + | 0.819117i | \(0.305536\pi\) | |||||||
\(90\) | −4.63935 | + | 78.1768i | −0.0515483 | + | 0.868631i | ||||
\(91\) | −71.1414 | + | 41.0735i | −0.781774 | + | 0.451357i | ||||
\(92\) | −7.75992 | − | 89.0095i | −0.0843470 | − | 0.967494i | ||||
\(93\) | −40.4110 | − | 44.7924i | −0.434527 | − | 0.481639i | ||||
\(94\) | 34.1155 | − | 21.7266i | 0.362930 | − | 0.231134i | ||||
\(95\) | 17.6357 | − | 48.4537i | 0.185639 | − | 0.510039i | ||||
\(96\) | 7.55298 | + | 95.7024i | 0.0786769 | + | 0.996900i | ||||
\(97\) | 12.6145 | − | 71.5405i | 0.130047 | − | 0.737531i | −0.848135 | − | 0.529780i | \(-0.822274\pi\) |
0.978182 | − | 0.207751i | \(-0.0666144\pi\) | |||||||
\(98\) | −13.4410 | + | 101.974i | −0.137153 | + | 1.04055i | ||||
\(99\) | 150.827 | + | 15.5531i | 1.52351 | + | 0.157102i | ||||
\(100\) | 23.4530 | + | 6.29190i | 0.234530 | + | 0.0629190i | ||||
\(101\) | 40.3702 | + | 33.8746i | 0.399705 | + | 0.335392i | 0.820379 | − | 0.571820i | \(-0.193762\pi\) |
−0.420675 | + | 0.907211i | \(0.638207\pi\) | |||||||
\(102\) | 39.9796 | + | 154.062i | 0.391957 | + | 1.51042i | ||||
\(103\) | 42.8748 | − | 7.55998i | 0.416260 | − | 0.0733979i | 0.0384042 | − | 0.999262i | \(-0.487773\pi\) |
0.377856 | + | 0.925864i | \(0.376661\pi\) | |||||||
\(104\) | −19.6908 | − | 62.5513i | −0.189335 | − | 0.601455i | ||||
\(105\) | −115.552 | − | 61.2948i | −1.10050 | − | 0.583760i | ||||
\(106\) | −89.0815 | − | 28.1022i | −0.840391 | − | 0.265115i | ||||
\(107\) | 70.5658i | 0.659493i | 0.944069 | + | 0.329747i | \(0.106963\pi\) | ||||
−0.944069 | + | 0.329747i | \(0.893037\pi\) | |||||||
\(108\) | −94.5969 | − | 52.1098i | −0.875897 | − | 0.482498i | ||||
\(109\) | −89.3232 | −0.819479 | −0.409739 | − | 0.912203i | \(-0.634380\pi\) | ||||
−0.409739 | + | 0.912203i | \(0.634380\pi\) | |||||||
\(110\) | −44.1047 | + | 139.808i | −0.400952 | + | 1.27098i | ||||
\(111\) | −64.3149 | − | 102.701i | −0.579413 | − | 0.925232i | ||||
\(112\) | −150.639 | − | 54.9323i | −1.34499 | − | 0.490467i | ||||
\(113\) | −13.7107 | − | 77.7573i | −0.121334 | − | 0.688118i | −0.983418 | − | 0.181353i | \(-0.941952\pi\) |
0.862084 | − | 0.506765i | \(-0.169159\pi\) | |||||||
\(114\) | 49.8829 | + | 50.6771i | 0.437570 | + | 0.444536i | ||||
\(115\) | −62.4678 | + | 74.4463i | −0.543199 | + | 0.647359i | ||||
\(116\) | −119.745 | − | 32.1248i | −1.03228 | − | 0.276938i | ||||
\(117\) | 70.9565 | + | 20.1957i | 0.606465 | + | 0.172613i | ||||
\(118\) | −73.3456 | − | 9.66753i | −0.621573 | − | 0.0819282i | ||||
\(119\) | −261.804 | − | 46.1631i | −2.20003 | − | 0.387925i | ||||
\(120\) | 67.7731 | − | 79.4364i | 0.564776 | − | 0.661970i | ||||
\(121\) | 153.017 | + | 55.6935i | 1.26460 | + | 0.460277i | ||||
\(122\) | −68.3684 | − | 107.353i | −0.560397 | − | 0.879943i | ||||
\(123\) | 103.619 | + | 33.5552i | 0.842427 | + | 0.272807i | ||||
\(124\) | 6.98604 | + | 80.1327i | 0.0563390 | + | 0.646231i | ||||
\(125\) | −67.5909 | − | 117.071i | −0.540727 | − | 0.936567i | ||||
\(126\) | 144.809 | − | 107.560i | 1.14928 | − | 0.853647i | ||||
\(127\) | −82.1426 | − | 47.4250i | −0.646792 | − | 0.373425i | 0.140434 | − | 0.990090i | \(-0.455150\pi\) |
−0.787226 | + | 0.616665i | \(0.788483\pi\) | |||||||
\(128\) | 68.8897 | − | 107.881i | 0.538201 | − | 0.842816i | ||||
\(129\) | −76.4720 | − | 10.6708i | −0.592806 | − | 0.0827198i | ||||
\(130\) | −32.9455 | + | 63.2641i | −0.253427 | + | 0.486647i | ||||
\(131\) | −7.26521 | − | 8.65835i | −0.0554597 | − | 0.0660942i | 0.737601 | − | 0.675236i | \(-0.235958\pi\) |
−0.793061 | + | 0.609142i | \(0.791514\pi\) | |||||||
\(132\) | −147.951 | − | 137.779i | −1.12084 | − | 1.04378i | ||||
\(133\) | −111.606 | + | 40.6211i | −0.839140 | + | 0.305422i | ||||
\(134\) | −92.4046 | + | 120.386i | −0.689587 | + | 0.898403i | ||||
\(135\) | 32.7121 | + | 112.825i | 0.242312 | + | 0.835740i | ||||
\(136\) | 81.3031 | − | 196.029i | 0.597817 | − | 1.44139i | ||||
\(137\) | 147.499 | − | 53.6854i | 1.07664 | − | 0.391864i | 0.257982 | − | 0.966150i | \(-0.416942\pi\) |
0.818655 | + | 0.574286i | \(0.194720\pi\) | |||||||
\(138\) | −55.6786 | − | 121.907i | −0.403468 | − | 0.883387i | ||||
\(139\) | 113.198 | + | 134.904i | 0.814376 | + | 0.970535i | 0.999927 | − | 0.0120996i | \(-0.00385153\pi\) |
−0.185551 | + | 0.982635i | \(0.559407\pi\) | |||||||
\(140\) | 73.6580 | + | 158.086i | 0.526129 | + | 1.12919i | ||||
\(141\) | 37.3049 | − | 47.8449i | 0.264574 | − | 0.339326i | ||||
\(142\) | 39.3884 | − | 8.72588i | 0.277383 | − | 0.0614498i | ||||
\(143\) | 119.599 | + | 69.0507i | 0.836359 | + | 0.482872i | ||||
\(144\) | 58.7481 | + | 131.471i | 0.407973 | + | 0.912994i | ||||
\(145\) | 67.4261 | + | 116.785i | 0.465008 | + | 0.805417i | ||||
\(146\) | 148.257 | − | 135.811i | 1.01546 | − | 0.930213i | ||||
\(147\) | 32.2257 | + | 150.881i | 0.219223 | + | 1.02640i | ||||
\(148\) | −14.1309 | + | 160.950i | −0.0954788 | + | 1.08750i | ||||
\(149\) | −92.5431 | − | 33.6829i | −0.621094 | − | 0.226060i | 0.0122562 | − | 0.999925i | \(-0.496099\pi\) |
−0.633351 | + | 0.773865i | \(0.718321\pi\) | |||||||
\(150\) | 36.3089 | − | 2.88787i | 0.242059 | − | 0.0192525i | ||||
\(151\) | −0.769516 | − | 0.135686i | −0.00509613 | − | 0.000898586i | 0.171100 | − | 0.985254i | \(-0.445268\pi\) |
−0.176196 | + | 0.984355i | \(0.556379\pi\) | |||||||
\(152\) | −12.3324 | − | 94.0064i | −0.0811339 | − | 0.618463i | ||||
\(153\) | 133.895 | + | 197.668i | 0.875129 | + | 1.29195i | ||||
\(154\) | 311.986 | − | 129.173i | 2.02588 | − | 0.838785i | ||||
\(155\) | 56.2380 | − | 67.0219i | 0.362826 | − | 0.432399i | ||||
\(156\) | −59.2513 | − | 78.5186i | −0.379816 | − | 0.503324i | ||||
\(157\) | −30.8928 | − | 175.202i | −0.196769 | − | 1.11593i | −0.909876 | − | 0.414879i | \(-0.863824\pi\) |
0.713107 | − | 0.701055i | \(-0.247287\pi\) | |||||||
\(158\) | 7.57130 | + | 174.021i | 0.0479196 | + | 1.10140i | ||||
\(159\) | −140.023 | + | 5.02743i | −0.880650 | + | 0.0316191i | ||||
\(160\) | −135.948 | + | 30.0301i | −0.849676 | + | 0.187688i | ||||
\(161\) | 223.845 | 1.39034 | ||||||||
\(162\) | −159.878 | − | 26.1342i | −0.986902 | − | 0.161322i | ||||
\(163\) | − | 268.797i | − | 1.64906i | −0.565818 | − | 0.824530i | \(-0.691439\pi\) | ||
0.565818 | − | 0.824530i | \(-0.308561\pi\) | |||||||
\(164\) | −83.2594 | − | 118.984i | −0.507679 | − | 0.725513i | ||||
\(165\) | 7.89024 | + | 219.758i | 0.0478196 | + | 1.33187i | ||||
\(166\) | −6.41129 | − | 147.359i | −0.0386222 | − | 0.887706i | ||||
\(167\) | −21.3074 | + | 3.75708i | −0.127589 | + | 0.0224975i | −0.237078 | − | 0.971491i | \(-0.576190\pi\) |
0.109489 | + | 0.993988i | \(0.465079\pi\) | |||||||
\(168\) | −240.505 | − | 1.97282i | −1.43158 | − | 0.0117430i | ||||
\(169\) | −77.9882 | − | 65.4399i | −0.461469 | − | 0.387218i | ||||
\(170\) | −213.274 | + | 88.3029i | −1.25455 | + | 0.519429i | ||||
\(171\) | 95.9601 | + | 46.5697i | 0.561170 | + | 0.272338i | ||||
\(172\) | 72.7748 | + | 72.8192i | 0.423109 | + | 0.423368i | ||||
\(173\) | −20.3403 | + | 115.356i | −0.117574 | + | 0.666796i | 0.867869 | + | 0.496792i | \(0.165489\pi\) |
−0.985443 | + | 0.170003i | \(0.945622\pi\) | |||||||
\(174\) | −185.384 | + | 14.7447i | −1.06542 | + | 0.0847399i | ||||
\(175\) | −20.8070 | + | 57.1668i | −0.118897 | + | 0.326668i | ||||
\(176\) | 46.6463 | + | 265.493i | 0.265036 | + | 1.50848i | ||||
\(177\) | −108.522 | + | 23.1786i | −0.613121 | + | 0.130952i | ||||
\(178\) | 110.926 | − | 101.614i | 0.623180 | − | 0.570864i | ||||
\(179\) | −17.3998 | + | 10.0458i | −0.0972054 | + | 0.0561216i | −0.547815 | − | 0.836600i | \(-0.684540\pi\) |
0.450609 | + | 0.892721i | \(0.351207\pi\) | |||||||
\(180\) | 55.8880 | − | 146.318i | 0.310489 | − | 0.812880i | ||||
\(181\) | 96.6241 | − | 167.358i | 0.533835 | − | 0.924629i | −0.465384 | − | 0.885109i | \(-0.654084\pi\) |
0.999219 | − | 0.0395201i | \(-0.0125829\pi\) | |||||||
\(182\) | 160.405 | − | 35.5352i | 0.881346 | − | 0.195249i | ||||
\(183\) | −150.556 | − | 117.390i | −0.822713 | − | 0.641473i | ||||
\(184\) | −38.7564 | + | 174.441i | −0.210633 | + | 0.948047i | ||||
\(185\) | 134.624 | − | 112.963i | 0.727695 | − | 0.610609i | ||||
\(186\) | 50.1258 | + | 109.750i | 0.269494 | + | 0.590053i | ||||
\(187\) | 152.856 | + | 419.969i | 0.817413 | + | 2.24582i | ||||
\(188\) | −78.1428 | + | 20.9127i | −0.415653 | + | 0.111238i | ||||
\(189\) | 150.643 | − | 224.764i | 0.797054 | − | 1.18923i | ||||
\(190\) | −62.7921 | + | 81.8064i | −0.330485 | + | 0.430560i | ||||
\(191\) | 87.6196 | + | 240.733i | 0.458741 | + | 1.26038i | 0.926423 | + | 0.376484i | \(0.122867\pi\) |
−0.467682 | + | 0.883897i | \(0.654911\pi\) | |||||||
\(192\) | 43.1783 | − | 187.082i | 0.224887 | − | 0.974385i | ||||
\(193\) | −217.111 | + | 182.178i | −1.12493 | + | 0.943928i | −0.998843 | − | 0.0480909i | \(-0.984686\pi\) |
−0.126087 | + | 0.992019i | \(0.540242\pi\) | |||||||
\(194\) | −67.1064 | + | 128.862i | −0.345909 | + | 0.664237i | ||||
\(195\) | −14.7864 | + | 105.966i | −0.0758278 | + | 0.543415i | ||||
\(196\) | 86.9948 | − | 186.412i | 0.443851 | − | 0.951083i | ||||
\(197\) | 142.022 | − | 245.990i | 0.720925 | − | 1.24868i | −0.239705 | − | 0.970846i | \(-0.577051\pi\) |
0.960630 | − | 0.277832i | \(-0.0896160\pi\) | |||||||
\(198\) | −278.321 | − | 120.418i | −1.40566 | − | 0.608173i | ||||
\(199\) | −118.652 | + | 68.5039i | −0.596242 | + | 0.344241i | −0.767562 | − | 0.640975i | \(-0.778530\pi\) |
0.171320 | + | 0.985216i | \(0.445197\pi\) | |||||||
\(200\) | −40.9471 | − | 26.1126i | −0.204735 | − | 0.130563i | ||||
\(201\) | −70.1324 | + | 216.569i | −0.348917 | + | 1.07746i | ||||
\(202\) | −56.6173 | − | 88.9013i | −0.280283 | − | 0.440105i | ||||
\(203\) | 106.235 | − | 291.879i | 0.523326 | − | 1.43783i | ||||
\(204\) | 16.4450 | − | 317.905i | 0.0806127 | − | 1.55836i | ||||
\(205\) | −27.4290 | + | 155.558i | −0.133800 | + | 0.758818i | ||||
\(206\) | −86.3258 | − | 11.3784i | −0.419057 | − | 0.0552350i | ||||
\(207\) | −139.932 | − | 144.335i | −0.675998 | − | 0.697270i | ||||
\(208\) | −0.0801338 | + | 131.155i | −0.000385259 | + | 0.630552i | ||||
\(209\) | 152.954 | + | 128.344i | 0.731838 | + | 0.614085i | ||||
\(210\) | 183.517 | + | 186.438i | 0.873889 | + | 0.887802i | ||||
\(211\) | 181.862 | − | 32.0671i | 0.861903 | − | 0.151977i | 0.274813 | − | 0.961498i | \(-0.411384\pi\) |
0.587091 | + | 0.809521i | \(0.300273\pi\) | |||||||
\(212\) | 153.000 | + | 107.201i | 0.721696 | + | 0.505666i | ||||
\(213\) | 51.2881 | − | 32.1185i | 0.240789 | − | 0.150791i | ||||
\(214\) | 42.4596 | − | 134.593i | 0.198409 | − | 0.628940i | ||||
\(215\) | − | 111.979i | − | 0.520833i | ||||||
\(216\) | 149.074 | + | 156.310i | 0.690158 | + | 0.723659i | ||||
\(217\) | −201.522 | −0.928671 | ||||||||
\(218\) | 170.370 | + | 53.7460i | 0.781513 | + | 0.246541i | ||||
\(219\) | 141.326 | − | 266.426i | 0.645324 | − | 1.21656i | ||||
\(220\) | 168.246 | − | 240.123i | 0.764753 | − | 1.09147i | ||||
\(221\) | 37.7599 | + | 214.147i | 0.170859 | + | 0.968992i | ||||
\(222\) | 60.8752 | + | 234.584i | 0.274212 | + | 1.05668i | ||||
\(223\) | −140.359 | + | 167.273i | −0.629413 | + | 0.750105i | −0.982658 | − | 0.185426i | \(-0.940634\pi\) |
0.353245 | + | 0.935531i | \(0.385078\pi\) | |||||||
\(224\) | 254.267 | + | 195.414i | 1.13512 | + | 0.872386i | ||||
\(225\) | 49.8681 | − | 22.3202i | 0.221636 | − | 0.0992008i | ||||
\(226\) | −20.6358 | + | 156.560i | −0.0913088 | + | 0.692741i | ||||
\(227\) | −298.580 | − | 52.6476i | −1.31533 | − | 0.231928i | −0.528412 | − | 0.848988i | \(-0.677212\pi\) |
−0.786916 | + | 0.617060i | \(0.788324\pi\) | |||||||
\(228\) | −64.6513 | − | 126.673i | −0.283558 | − | 0.555585i | ||||
\(229\) | −291.207 | − | 105.991i | −1.27164 | − | 0.462841i | −0.383985 | − | 0.923340i | \(-0.625448\pi\) |
−0.887660 | + | 0.460499i | \(0.847671\pi\) | |||||||
\(230\) | 163.942 | − | 104.407i | 0.712792 | − | 0.453945i | ||||
\(231\) | 376.073 | − | 339.287i | 1.62802 | − | 1.46878i | ||||
\(232\) | 209.065 | + | 133.324i | 0.901143 | + | 0.574672i | ||||
\(233\) | −21.7586 | − | 37.6870i | −0.0933845 | − | 0.161747i | 0.815549 | − | 0.578688i | \(-0.196435\pi\) |
−0.908933 | + | 0.416942i | \(0.863102\pi\) | |||||||
\(234\) | −123.186 | − | 81.2148i | −0.526438 | − | 0.347072i | ||||
\(235\) | 76.1989 | + | 43.9935i | 0.324251 | + | 0.187206i | ||||
\(236\) | 134.078 | + | 62.5716i | 0.568128 | + | 0.265134i | ||||
\(237\) | 98.1147 | + | 242.157i | 0.413986 | + | 1.02176i | ||||
\(238\) | 471.573 | + | 245.577i | 1.98140 | + | 1.03184i | ||||
\(239\) | −214.161 | − | 255.227i | −0.896069 | − | 1.06789i | −0.997329 | − | 0.0730337i | \(-0.976732\pi\) |
0.101260 | − | 0.994860i | \(-0.467713\pi\) | |||||||
\(240\) | −177.064 | + | 110.733i | −0.737765 | + | 0.461388i | ||||
\(241\) | 325.919 | − | 118.625i | 1.35236 | − | 0.492219i | 0.438677 | − | 0.898645i | \(-0.355447\pi\) |
0.913684 | + | 0.406426i | \(0.133225\pi\) | |||||||
\(242\) | −258.344 | − | 198.297i | −1.06754 | − | 0.819409i | ||||
\(243\) | −239.098 | + | 43.3713i | −0.983943 | + | 0.178483i | ||||
\(244\) | 65.8073 | + | 245.896i | 0.269702 | + | 1.00777i | ||||
\(245\) | −210.259 | + | 76.5281i | −0.858201 | + | 0.312360i | ||||
\(246\) | −177.446 | − | 126.349i | −0.721324 | − | 0.513613i | ||||
\(247\) | 62.4460 | + | 74.4202i | 0.252818 | + | 0.301296i | ||||
\(248\) | 34.8913 | − | 157.044i | 0.140691 | − | 0.633242i | ||||
\(249\) | −83.0823 | − | 205.056i | −0.333664 | − | 0.823518i | ||||
\(250\) | 58.4770 | + | 263.964i | 0.233908 | + | 1.05585i | ||||
\(251\) | −12.1468 | − | 7.01295i | −0.0483935 | − | 0.0279400i | 0.475608 | − | 0.879657i | \(-0.342228\pi\) |
−0.524002 | + | 0.851717i | \(0.675561\pi\) | |||||||
\(252\) | −340.919 | + | 118.021i | −1.35285 | + | 0.468337i | ||||
\(253\) | −188.159 | − | 325.901i | −0.743711 | − | 1.28815i | ||||
\(254\) | 128.138 | + | 139.881i | 0.504481 | + | 0.550713i | ||||
\(255\) | −257.084 | + | 231.938i | −1.00817 | + | 0.909559i | ||||
\(256\) | −196.308 | + | 164.314i | −0.766829 | + | 0.641851i | ||||
\(257\) | −159.478 | − | 58.0452i | −0.620537 | − | 0.225857i | 0.0125705 | − | 0.999921i | \(-0.495999\pi\) |
−0.633107 | + | 0.774064i | \(0.718221\pi\) | |||||||
\(258\) | 139.438 | + | 66.3664i | 0.540456 | + | 0.257234i | ||||
\(259\) | −398.637 | − | 70.2905i | −1.53914 | − | 0.271392i | ||||
\(260\) | 100.904 | − | 100.843i | 0.388094 | − | 0.387857i | ||||
\(261\) | −254.613 | + | 113.961i | −0.975530 | + | 0.436632i | ||||
\(262\) | 8.64750 | + | 20.8859i | 0.0330057 | + | 0.0797173i | ||||
\(263\) | 208.683 | − | 248.699i | 0.793473 | − | 0.945624i | −0.205985 | − | 0.978555i | \(-0.566040\pi\) |
0.999458 | + | 0.0329313i | \(0.0104843\pi\) | |||||||
\(264\) | 199.290 | + | 351.814i | 0.754888 | + | 1.33263i | ||||
\(265\) | −35.2856 | − | 200.115i | −0.133153 | − | 0.755150i | ||||
\(266\) | 237.312 | − | 10.3250i | 0.892151 | − | 0.0388156i | ||||
\(267\) | 105.740 | − | 199.340i | 0.396030 | − | 0.746592i | ||||
\(268\) | 248.684 | − | 174.017i | 0.927924 | − | 0.649317i | ||||
\(269\) | −281.085 | −1.04493 | −0.522463 | − | 0.852662i | \(-0.674987\pi\) | ||||
−0.522463 | + | 0.852662i | \(0.674987\pi\) | |||||||
\(270\) | 5.49387 | − | 234.879i | 0.0203477 | − | 0.869921i | ||||
\(271\) | 270.921i | 0.999709i | 0.866109 | + | 0.499855i | \(0.166613\pi\) | ||||
−0.866109 | + | 0.499855i | \(0.833387\pi\) | |||||||
\(272\) | −273.024 | + | 324.974i | −1.00376 | + | 1.19476i | ||||
\(273\) | 208.865 | − | 130.799i | 0.765075 | − | 0.479117i | ||||
\(274\) | −313.634 | + | 13.6456i | −1.14465 | + | 0.0498014i | ||||
\(275\) | 100.720 | − | 17.7597i | 0.366255 | − | 0.0645807i | ||||
\(276\) | 32.8461 | + | 266.021i | 0.119007 | + | 0.963845i | ||||
\(277\) | 80.9996 | + | 67.9667i | 0.292417 | + | 0.245367i | 0.777180 | − | 0.629279i | \(-0.216650\pi\) |
−0.484763 | + | 0.874646i | \(0.661094\pi\) | |||||||
\(278\) | −134.735 | − | 325.420i | −0.484659 | − | 1.17058i | ||||
\(279\) | 125.976 | + | 129.941i | 0.451529 | + | 0.465737i | ||||
\(280\) | −45.3701 | − | 345.845i | −0.162036 | − | 1.23516i | ||||
\(281\) | 14.7191 | − | 83.4761i | 0.0523811 | − | 0.297068i | −0.947351 | − | 0.320196i | \(-0.896251\pi\) |
0.999733 | + | 0.0231277i | \(0.00736245\pi\) | |||||||
\(282\) | −99.9417 | + | 68.8102i | −0.354403 | + | 0.244008i | ||||
\(283\) | 110.305 | − | 303.060i | 0.389770 | − | 1.07088i | −0.577336 | − | 0.816507i | \(-0.695908\pi\) |
0.967105 | − | 0.254376i | \(-0.0818702\pi\) | |||||||
\(284\) | −80.3775 | − | 7.05686i | −0.283019 | − | 0.0248481i | ||||
\(285\) | −47.6574 | + | 147.166i | −0.167219 | + | 0.516372i | ||||
\(286\) | −186.569 | − | 203.667i | −0.652339 | − | 0.712121i | ||||
\(287\) | 315.087 | − | 181.915i | 1.09786 | − | 0.633851i | ||||
\(288\) | −32.9461 | − | 286.109i | −0.114396 | − | 0.993435i | ||||
\(289\) | −207.355 | + | 359.150i | −0.717493 | + | 1.24273i | ||||
\(290\) | −58.3345 | − | 263.320i | −0.201153 | − | 0.908001i | ||||
\(291\) | −30.1183 | + | 215.841i | −0.103499 | + | 0.741722i | ||||
\(292\) | −364.495 | + | 169.831i | −1.24827 | + | 0.581614i | ||||
\(293\) | 157.814 | − | 132.422i | 0.538615 | − | 0.451952i | −0.332449 | − | 0.943121i | \(-0.607875\pi\) |
0.871064 | + | 0.491170i | \(0.163430\pi\) | |||||||
\(294\) | 29.3202 | − | 307.173i | 0.0997286 | − | 1.04480i | ||||
\(295\) | −55.0433 | − | 151.230i | −0.186588 | − | 0.512645i | ||||
\(296\) | 123.797 | − | 298.484i | 0.418232 | − | 1.00839i | ||||
\(297\) | −453.865 | − | 30.3936i | −1.52816 | − | 0.102335i | ||||
\(298\) | 156.244 | + | 119.928i | 0.524309 | + | 0.402444i | ||||
\(299\) | −62.6233 | − | 172.056i | −0.209443 | − | 0.575439i | ||||
\(300\) | −70.9910 | − | 16.3390i | −0.236637 | − | 0.0544633i | ||||
\(301\) | −197.583 | + | 165.792i | −0.656423 | + | 0.550804i | ||||
\(302\) | 1.38609 | + | 0.721821i | 0.00458969 | + | 0.00239013i | ||||
\(303\) | −124.679 | − | 97.2127i | −0.411481 | − | 0.320834i | ||||
\(304\) | −33.0419 | + | 186.723i | −0.108691 | + | 0.614220i | ||||
\(305\) | 138.437 | − | 239.780i | 0.453891 | − | 0.786163i | ||||
\(306\) | −136.445 | − | 457.586i | −0.445900 | − | 1.49538i | ||||
\(307\) | 194.400 | − | 112.237i | 0.633225 | − | 0.365593i | −0.148775 | − | 0.988871i | \(-0.547533\pi\) |
0.782000 | + | 0.623278i | \(0.214200\pi\) | |||||||
\(308\) | −672.787 | + | 58.6542i | −2.18437 | + | 0.190436i | ||||
\(309\) | −127.728 | + | 27.2805i | −0.413359 | + | 0.0882865i | ||||
\(310\) | −147.592 | + | 93.9950i | −0.476104 | + | 0.303210i | ||||
\(311\) | −76.8272 | + | 211.081i | −0.247033 | + | 0.678717i | 0.752759 | + | 0.658297i | \(0.228723\pi\) |
−0.999791 | + | 0.0204207i | \(0.993499\pi\) | |||||||
\(312\) | 65.7677 | + | 185.413i | 0.210794 | + | 0.594274i | ||||
\(313\) | −69.3890 | + | 393.525i | −0.221690 | + | 1.25727i | 0.647222 | + | 0.762301i | \(0.275931\pi\) |
−0.868912 | + | 0.494966i | \(0.835181\pi\) | |||||||
\(314\) | −46.4963 | + | 352.758i | −0.148077 | + | 1.12343i | ||||
\(315\) | 353.032 | + | 171.328i | 1.12074 | + | 0.543897i | ||||
\(316\) | 90.2681 | − | 336.474i | 0.285658 | − | 1.06479i | ||||
\(317\) | 11.8267 | + | 9.92380i | 0.0373083 | + | 0.0313054i | 0.661251 | − | 0.750165i | \(-0.270026\pi\) |
−0.623943 | + | 0.781470i | \(0.714470\pi\) | |||||||
\(318\) | 270.097 | + | 74.6634i | 0.849363 | + | 0.234791i | ||||
\(319\) | −514.251 | + | 90.6763i | −1.61207 | + | 0.284252i | ||||
\(320\) | 277.369 | + | 24.5228i | 0.866778 | + | 0.0766338i | ||||
\(321\) | −7.59594 | − | 211.561i | −0.0236634 | − | 0.659069i | ||||
\(322\) | −426.950 | − | 134.688i | −1.32593 | − | 0.418287i | ||||
\(323\) | 314.391i | 0.973346i | ||||||||
\(324\) | 289.217 | + | 146.046i | 0.892646 | + | 0.450759i | ||||
\(325\) | 49.7616 | 0.153113 | ||||||||
\(326\) | −161.736 | + | 512.688i | −0.496122 | + | 1.57266i | ||||
\(327\) | 267.797 | − | 9.61505i | 0.818951 | − | 0.0294038i | ||||
\(328\) | 87.2111 | + | 277.041i | 0.265887 | + | 0.844637i | ||||
\(329\) | −35.1923 | − | 199.585i | −0.106967 | − | 0.606643i | ||||
\(330\) | 117.180 | − | 423.901i | 0.355090 | − | 1.28455i | ||||
\(331\) | 178.560 | − | 212.799i | 0.539455 | − | 0.642898i | −0.425610 | − | 0.904907i | \(-0.639941\pi\) |
0.965065 | + | 0.262009i | \(0.0843850\pi\) | |||||||
\(332\) | −76.4379 | + | 284.922i | −0.230235 | + | 0.858199i | ||||
\(333\) | 203.875 | + | 300.981i | 0.612239 | + | 0.903846i | ||||
\(334\) | 42.9012 | + | 5.65472i | 0.128447 | + | 0.0169303i | ||||
\(335\) | −325.125 | − | 57.3283i | −0.970522 | − | 0.171129i | ||||
\(336\) | 457.538 | + | 148.475i | 1.36172 | + | 0.441891i | ||||
\(337\) | 524.664 | + | 190.962i | 1.55687 | + | 0.566653i | 0.970015 | − | 0.243043i | \(-0.0781457\pi\) |
0.586850 | + | 0.809696i | \(0.300368\pi\) | |||||||
\(338\) | 109.375 | + | 171.742i | 0.323594 | + | 0.508112i | ||||
\(339\) | 49.4757 | + | 231.646i | 0.145946 | + | 0.683321i | ||||
\(340\) | 459.919 | − | 40.0961i | 1.35270 | − | 0.117930i | ||||
\(341\) | 169.394 | + | 293.399i | 0.496757 | + | 0.860408i | ||||
\(342\) | −155.008 | − | 146.564i | −0.453238 | − | 0.428549i | ||||
\(343\) | 21.0731 | + | 12.1666i | 0.0614376 | + | 0.0354710i | ||||
\(344\) | −94.9908 | − | 182.680i | −0.276136 | − | 0.531046i | ||||
\(345\) | 179.269 | − | 229.919i | 0.519621 | − | 0.666433i | ||||
\(346\) | 108.206 | − | 207.784i | 0.312733 | − | 0.600531i | ||||
\(347\) | 288.093 | + | 343.336i | 0.830241 | + | 0.989442i | 0.999992 | + | 0.00395526i | \(0.00125900\pi\) |
−0.169752 | + | 0.985487i | \(0.554297\pi\) | |||||||
\(348\) | 362.462 | + | 83.4226i | 1.04156 | + | 0.239720i | ||||
\(349\) | 479.457 | − | 174.508i | 1.37380 | − | 0.500023i | 0.453509 | − | 0.891252i | \(-0.350172\pi\) |
0.920294 | + | 0.391228i | \(0.127950\pi\) | |||||||
\(350\) | 74.0836 | − | 96.5170i | 0.211667 | − | 0.275763i | ||||
\(351\) | −214.906 | − | 52.9100i | −0.612268 | − | 0.150741i | ||||
\(352\) | 70.7773 | − | 534.452i | 0.201072 | − | 1.51833i | ||||
\(353\) | −194.831 | + | 70.9126i | −0.551928 | + | 0.200885i | −0.602903 | − | 0.797814i | \(-0.705989\pi\) |
0.0509748 | + | 0.998700i | \(0.483767\pi\) | |||||||
\(354\) | 220.936 | + | 21.0888i | 0.624113 | + | 0.0595727i | ||||
\(355\) | 56.4128 | + | 67.2302i | 0.158909 | + | 0.189381i | ||||
\(356\) | −272.715 | + | 127.068i | −0.766054 | + | 0.356932i | ||||
\(357\) | 789.875 | + | 110.219i | 2.21254 | + | 0.308736i | ||||
\(358\) | 39.2319 | − | 8.69121i | 0.109586 | − | 0.0242771i | ||||
\(359\) | 52.8592 | + | 30.5183i | 0.147240 | + | 0.0850091i | 0.571810 | − | 0.820386i | \(-0.306241\pi\) |
−0.424570 | + | 0.905395i | \(0.639575\pi\) | |||||||
\(360\) | −194.638 | + | 245.451i | −0.540660 | + | 0.681809i | ||||
\(361\) | −110.271 | − | 190.995i | −0.305460 | − | 0.529073i | ||||
\(362\) | −284.995 | + | 261.070i | −0.787279 | + | 0.721187i | ||||
\(363\) | −464.749 | − | 150.502i | −1.28030 | − | 0.414605i | ||||
\(364\) | −327.329 | − | 28.7383i | −0.899255 | − | 0.0789515i | ||||
\(365\) | 411.007 | + | 149.594i | 1.12605 | + | 0.409847i | ||||
\(366\) | 216.529 | + | 314.492i | 0.591609 | + | 0.859269i | ||||
\(367\) | 258.395 | + | 45.5620i | 0.704073 | + | 0.124147i | 0.514211 | − | 0.857664i | \(-0.328085\pi\) |
0.189862 | + | 0.981811i | \(0.439196\pi\) | |||||||
\(368\) | 178.883 | − | 309.398i | 0.486096 | − | 0.840756i | ||||
\(369\) | −314.268 | − | 89.4470i | −0.851674 | − | 0.242404i | ||||
\(370\) | −324.743 | + | 134.455i | −0.877684 | + | 0.363392i | ||||
\(371\) | −300.853 | + | 358.542i | −0.810924 | + | 0.966421i | ||||
\(372\) | −29.5704 | − | 239.491i | −0.0794902 | − | 0.643794i | ||||
\(373\) | −96.1685 | − | 545.399i | −0.257824 | − | 1.46219i | −0.788717 | − | 0.614756i | \(-0.789254\pi\) |
0.530893 | − | 0.847439i | \(-0.321857\pi\) | |||||||
\(374\) | −38.8525 | − | 892.999i | −0.103884 | − | 2.38770i | ||||
\(375\) | 215.244 | + | 343.711i | 0.573984 | + | 0.916562i | ||||
\(376\) | 161.628 | + | 7.13105i | 0.429863 | + | 0.0189656i | ||||
\(377\) | −254.070 | −0.673926 | ||||||||
\(378\) | −422.569 | + | 338.059i | −1.11791 | + | 0.894335i | ||||
\(379\) | − | 61.8712i | − | 0.163249i | −0.996663 | − | 0.0816243i | \(-0.973989\pi\) | ||
0.996663 | − | 0.0816243i | \(-0.0260107\pi\) | |||||||
\(380\) | 168.989 | − | 118.251i | 0.444708 | − | 0.311186i | ||||
\(381\) | 251.374 | + | 133.341i | 0.659774 | + | 0.349977i | ||||
\(382\) | −22.2709 | − | 511.881i | −0.0583007 | − | 1.34000i | ||||
\(383\) | −356.264 | + | 62.8189i | −0.930193 | + | 0.164018i | −0.618159 | − | 0.786053i | \(-0.712121\pi\) |
−0.312034 | + | 0.950071i | \(0.601010\pi\) | |||||||
\(384\) | −194.924 | + | 330.849i | −0.507613 | + | 0.861585i | ||||
\(385\) | 562.710 | + | 472.170i | 1.46158 | + | 1.22641i | ||||
\(386\) | 523.723 | − | 216.839i | 1.35680 | − | 0.561760i | ||||
\(387\) | 230.417 | + | 23.7602i | 0.595392 | + | 0.0613959i | ||||
\(388\) | 205.531 | − | 205.406i | 0.529720 | − | 0.529397i | ||||
\(389\) | −51.9683 | + | 294.727i | −0.133595 | + | 0.757653i | 0.842233 | + | 0.539113i | \(0.181241\pi\) |
−0.975828 | + | 0.218540i | \(0.929871\pi\) | |||||||
\(390\) | 91.9628 | − | 193.216i | 0.235802 | − | 0.495426i | ||||
\(391\) | 202.661 | − | 556.805i | 0.518313 | − | 1.42405i | ||||
\(392\) | −278.094 | + | 303.207i | −0.709423 | + | 0.773487i | ||||
\(393\) | 22.7136 | + | 25.1763i | 0.0577955 | + | 0.0640617i | ||||
\(394\) | −418.898 | + | 383.731i | −1.06319 | + | 0.973937i | ||||
\(395\) | −328.158 | + | 189.462i | −0.830778 | + | 0.479650i | ||||
\(396\) | 458.397 | + | 397.145i | 1.15757 | + | 1.00289i | ||||
\(397\) | 197.081 | − | 341.354i | 0.496425 | − | 0.859833i | −0.503567 | − | 0.863956i | \(-0.667979\pi\) |
0.999991 | + | 0.00412318i | \(0.00131245\pi\) | |||||||
\(398\) | 267.529 | − | 59.2670i | 0.672184 | − | 0.148912i | ||||
\(399\) | 330.229 | − | 133.799i | 0.827641 | − | 0.335335i | ||||
\(400\) | 62.3881 | + | 74.4435i | 0.155970 | + | 0.186109i | ||||
\(401\) | −33.5438 | + | 28.1466i | −0.0836503 | + | 0.0701909i | −0.683654 | − | 0.729806i | \(-0.739610\pi\) |
0.600004 | + | 0.799997i | \(0.295166\pi\) | |||||||
\(402\) | 264.077 | − | 370.872i | 0.656907 | − | 0.922567i | ||||
\(403\) | 56.3780 | + | 154.897i | 0.139896 | + | 0.384360i | ||||
\(404\) | 54.4963 | + | 203.632i | 0.134892 | + | 0.504039i | ||||
\(405\) | −110.218 | − | 334.736i | −0.272143 | − | 0.826507i | ||||
\(406\) | −378.251 | + | 492.791i | −0.931654 | + | 1.21377i | ||||
\(407\) | 232.747 | + | 639.468i | 0.571861 | + | 1.57117i | ||||
\(408\) | −222.651 | + | 596.459i | −0.545713 | + | 1.46191i | ||||
\(409\) | −318.044 | + | 266.870i | −0.777613 | + | 0.652495i | −0.942646 | − | 0.333793i | \(-0.891671\pi\) |
0.165033 | + | 0.986288i | \(0.447227\pi\) | |||||||
\(410\) | 145.916 | − | 280.198i | 0.355893 | − | 0.683409i | ||||
\(411\) | −436.434 | + | 176.830i | −1.06188 | + | 0.430243i | ||||
\(412\) | 157.806 | + | 73.6450i | 0.383025 | + | 0.178750i | ||||
\(413\) | −185.346 | + | 321.028i | −0.448778 | + | 0.777307i | ||||
\(414\) | 180.051 | + | 359.493i | 0.434905 | + | 0.868342i | ||||
\(415\) | 277.880 | − | 160.434i | 0.669590 | − | 0.386588i | ||||
\(416\) | 79.0690 | − | 250.109i | 0.190070 | − | 0.601223i | ||||
\(417\) | −353.897 | − | 392.267i | −0.848675 | − | 0.940689i | ||||
\(418\) | −214.511 | − | 336.828i | −0.513184 | − | 0.805809i | ||||
\(419\) | −21.7249 | + | 59.6886i | −0.0518493 | + | 0.142455i | −0.962914 | − | 0.269809i | \(-0.913039\pi\) |
0.911065 | + | 0.412264i | \(0.135262\pi\) | |||||||
\(420\) | −237.849 | − | 466.024i | −0.566306 | − | 1.10958i | ||||
\(421\) | 108.764 | − | 616.830i | 0.258346 | − | 1.46515i | −0.528989 | − | 0.848629i | \(-0.677429\pi\) |
0.787335 | − | 0.616525i | \(-0.211460\pi\) | |||||||
\(422\) | −366.167 | − | 48.2637i | −0.867695 | − | 0.114369i | ||||
\(423\) | −106.693 | + | 147.458i | −0.252228 | + | 0.348601i | ||||
\(424\) | −227.319 | − | 296.530i | −0.536131 | − | 0.699362i | ||||
\(425\) | 123.362 | + | 103.513i | 0.290264 | + | 0.243560i | ||||
\(426\) | −117.150 | + | 30.4007i | −0.274999 | + | 0.0713631i | ||||
\(427\) | −628.047 | + | 110.742i | −1.47084 | + | 0.259348i | ||||
\(428\) | −161.970 | + | 231.167i | −0.378435 | + | 0.540110i | ||||
\(429\) | −366.000 | − | 194.145i | −0.853147 | − | 0.452552i | ||||
\(430\) | −67.3782 | + | 213.583i | −0.156693 | + | 0.496704i | ||||
\(431\) | 127.048i | 0.294775i | 0.989079 | + | 0.147388i | \(0.0470865\pi\) | ||||
−0.989079 | + | 0.147388i | \(0.952914\pi\) | |||||||
\(432\) | −190.283 | − | 387.836i | −0.440469 | − | 0.897768i | ||||
\(433\) | 587.542 | 1.35691 | 0.678454 | − | 0.734642i | \(-0.262650\pi\) | ||||
0.678454 | + | 0.734642i | \(0.262650\pi\) | |||||||
\(434\) | 384.371 | + | 121.256i | 0.885647 | + | 0.279392i | ||||
\(435\) | −214.719 | − | 342.873i | −0.493607 | − | 0.788213i | ||||
\(436\) | −292.615 | − | 205.024i | −0.671134 | − | 0.470239i | ||||
\(437\) | −45.9688 | − | 260.702i | −0.105192 | − | 0.596573i | ||||
\(438\) | −429.866 | + | 423.130i | −0.981430 | + | 0.966050i | ||||
\(439\) | 277.190 | − | 330.342i | 0.631412 | − | 0.752488i | −0.351576 | − | 0.936159i | \(-0.614354\pi\) |
0.982988 | + | 0.183672i | \(0.0587984\pi\) | |||||||
\(440\) | −465.385 | + | 356.764i | −1.05769 | + | 0.810826i | ||||
\(441\) | −112.856 | − | 448.884i | −0.255910 | − | 1.01788i | ||||
\(442\) | 56.8319 | − | 431.172i | 0.128579 | − | 0.975503i | ||||
\(443\) | 774.476 | + | 136.561i | 1.74825 | + | 0.308264i | 0.954107 | − | 0.299465i | \(-0.0968081\pi\) |
0.794145 | + | 0.607729i | \(0.207919\pi\) | |||||||
\(444\) | 25.0401 | − | 484.060i | 0.0563965 | − | 1.09023i | ||||
\(445\) | 307.515 | + | 111.926i | 0.691045 | + | 0.251520i | ||||
\(446\) | 368.362 | − | 234.593i | 0.825923 | − | 0.525994i | ||||
\(447\) | 281.076 | + | 91.0220i | 0.628806 | + | 0.203629i | ||||
\(448\) | −367.392 | − | 525.715i | −0.820072 | − | 1.17347i | ||||
\(449\) | −242.525 | − | 420.066i | −0.540145 | − | 0.935559i | −0.998895 | − | 0.0469939i | \(-0.985036\pi\) |
0.458750 | − | 0.888566i | \(-0.348297\pi\) | |||||||
\(450\) | −108.546 | + | 12.5665i | −0.241212 | + | 0.0279254i | ||||
\(451\) | −529.708 | − | 305.827i | −1.17452 | − | 0.678109i | ||||
\(452\) | 133.562 | − | 286.196i | 0.295491 | − | 0.633177i | ||||
\(453\) | 2.32167 | + | 0.323964i | 0.00512509 | + | 0.000715152i | ||||
\(454\) | 537.815 | + | 280.073i | 1.18461 | + | 0.616901i | ||||
\(455\) | 229.735 | + | 273.788i | 0.504913 | + | 0.601732i | ||||
\(456\) | 47.0924 | + | 280.510i | 0.103273 | + | 0.615154i | ||||
\(457\) | −813.496 | + | 296.088i | −1.78008 | + | 0.647896i | −0.780332 | + | 0.625365i | \(0.784950\pi\) |
−0.999746 | + | 0.0225304i | \(0.992828\pi\) | |||||||
\(458\) | 491.656 | + | 377.380i | 1.07348 | + | 0.823974i | ||||
\(459\) | −422.703 | − | 578.210i | −0.920922 | − | 1.25972i | ||||
\(460\) | −375.516 | + | 100.496i | −0.816339 | + | 0.218470i | ||||
\(461\) | −652.111 | + | 237.349i | −1.41456 | + | 0.514857i | −0.932464 | − | 0.361263i | \(-0.882346\pi\) |
−0.482094 | + | 0.876120i | \(0.660124\pi\) | |||||||
\(462\) | −921.450 | + | 420.852i | −1.99448 | + | 0.910936i | ||||
\(463\) | 438.512 | + | 522.598i | 0.947111 | + | 1.12872i | 0.991552 | + | 0.129710i | \(0.0414048\pi\) |
−0.0444414 | + | 0.999012i | \(0.514151\pi\) | |||||||
\(464\) | −318.537 | − | 380.089i | −0.686503 | − | 0.819158i | ||||
\(465\) | −161.391 | + | 206.990i | −0.347077 | + | 0.445139i | ||||
\(466\) | 18.8247 | + | 84.9742i | 0.0403964 | + | 0.182348i | ||||
\(467\) | −388.222 | − | 224.140i | −0.831310 | − | 0.479957i | 0.0229910 | − | 0.999736i | \(-0.492681\pi\) |
−0.854301 | + | 0.519779i | \(0.826014\pi\) | |||||||
\(468\) | 186.092 | + | 229.026i | 0.397631 | + | 0.489372i | ||||
\(469\) | 380.214 | + | 658.549i | 0.810690 | + | 1.40416i | ||||
\(470\) | −118.866 | − | 129.760i | −0.252907 | − | 0.276085i | ||||
\(471\) | 111.478 | + | 521.941i | 0.236684 | + | 1.10816i | ||||
\(472\) | −218.083 | − | 200.021i | −0.462041 | − | 0.423773i | ||||
\(473\) | 407.463 | + | 148.305i | 0.861445 | + | 0.313540i | ||||
\(474\) | −41.4315 | − | 520.913i | −0.0874083 | − | 1.09897i | ||||
\(475\) | 70.8524 | + | 12.4932i | 0.149163 | + | 0.0263015i | ||||
\(476\) | −751.687 | − | 752.146i | −1.57917 | − | 1.58014i | ||||
\(477\) | 419.258 | − | 30.1452i | 0.878948 | − | 0.0631974i | ||||
\(478\) | 254.907 | + | 615.665i | 0.533278 | + | 1.28800i | ||||
\(479\) | 370.059 | − | 441.020i | 0.772567 | − | 0.920709i | −0.226006 | − | 0.974126i | \(-0.572567\pi\) |
0.998572 | + | 0.0534168i | \(0.0170112\pi\) | |||||||
\(480\) | 404.349 | − | 104.666i | 0.842395 | − | 0.218054i | ||||
\(481\) | 57.4954 | + | 326.073i | 0.119533 | + | 0.677905i | ||||
\(482\) | −693.015 | + | 30.1517i | −1.43779 | + | 0.0625553i | ||||
\(483\) | −671.104 | + | 24.0955i | −1.38945 | + | 0.0498871i | ||||
\(484\) | 373.434 | + | 533.666i | 0.771559 | + | 1.10262i | ||||
\(485\) | −316.060 | −0.651670 | ||||||||
\(486\) | 482.139 | + | 61.1422i | 0.992055 | + | 0.125807i | ||||
\(487\) | 109.976i | 0.225824i | 0.993605 | + | 0.112912i | \(0.0360178\pi\) | ||||
−0.993605 | + | 0.112912i | \(0.963982\pi\) | |||||||
\(488\) | 22.4397 | − | 508.605i | 0.0459830 | − | 1.04222i | ||||
\(489\) | 28.9342 | + | 805.872i | 0.0591702 | + | 1.64800i | ||||
\(490\) | 447.083 | − | 19.4517i | 0.912415 | − | 0.0396973i | ||||
\(491\) | 382.906 | − | 67.5166i | 0.779849 | − | 0.137508i | 0.230467 | − | 0.973080i | \(-0.425975\pi\) |
0.549381 | + | 0.835572i | \(0.314863\pi\) | |||||||
\(492\) | 262.425 | + | 347.760i | 0.533385 | + | 0.706830i | ||||
\(493\) | −629.855 | − | 528.511i | −1.27760 | − | 1.07203i | ||||
\(494\) | −74.3269 | − | 179.519i | −0.150459 | − | 0.363398i | ||||
\(495\) | −47.3109 | − | 658.000i | −0.0955777 | − | 1.32929i | ||||
\(496\) | −161.043 | + | 278.542i | −0.324684 | + | 0.561577i | ||||
\(497\) | 35.1026 | − | 199.077i | 0.0706290 | − | 0.400557i | ||||
\(498\) | 35.0837 | + | 441.103i | 0.0704492 | + | 0.885748i | ||||
\(499\) | −36.1272 | + | 99.2586i | −0.0723992 | + | 0.198915i | −0.970614 | − | 0.240642i | \(-0.922642\pi\) |
0.898215 | + | 0.439557i | \(0.144864\pi\) | |||||||
\(500\) | 47.2920 | − | 538.655i | 0.0945840 | − | 1.07731i | ||||
\(501\) | 63.4767 | − | 13.5576i | 0.126700 | − | 0.0270610i | ||||
\(502\) | 18.9484 | + | 20.6848i | 0.0377457 | + | 0.0412049i | ||||
\(503\) | 417.548 | − | 241.072i | 0.830116 | − | 0.479268i | −0.0237762 | − | 0.999717i | \(-0.507569\pi\) |
0.853892 | + | 0.520449i | \(0.174236\pi\) | |||||||
\(504\) | 721.263 | − | 19.9741i | 1.43108 | − | 0.0396312i | ||||
\(505\) | 114.642 | − | 198.566i | 0.227015 | − | 0.393201i | ||||
\(506\) | 162.788 | + | 734.820i | 0.321715 | + | 1.45221i | ||||
\(507\) | 240.858 | + | 187.798i | 0.475065 | + | 0.370411i | ||||
\(508\) | −160.236 | − | 343.902i | −0.315426 | − | 0.676973i | ||||
\(509\) | −466.979 | + | 391.842i | −0.917443 | + | 0.769826i | −0.973520 | − | 0.228600i | \(-0.926585\pi\) |
0.0560770 | + | 0.998426i | \(0.482141\pi\) | |||||||
\(510\) | 629.906 | − | 287.696i | 1.23511 | − | 0.564109i | ||||
\(511\) | −344.567 | − | 946.690i | −0.674299 | − | 1.85262i | ||||
\(512\) | 473.295 | − | 195.283i | 0.924405 | − | 0.381413i | ||||
\(513\) | −292.708 | − | 129.290i | −0.570580 | − | 0.252027i | ||||
\(514\) | 269.253 | + | 206.670i | 0.523839 | + | 0.402083i | ||||
\(515\) | −64.7845 | − | 177.994i | −0.125795 | − | 0.345619i | ||||
\(516\) | −226.022 | − | 210.483i | −0.438028 | − | 0.407913i | ||||
\(517\) | −260.999 | + | 219.004i | −0.504833 | + | 0.423605i | ||||
\(518\) | 718.043 | + | 373.929i | 1.38618 | + | 0.721871i | ||||
\(519\) | 48.5644 | − | 348.034i | 0.0935730 | − | 0.670585i | ||||
\(520\) | −253.137 | + | 131.627i | −0.486801 | + | 0.253129i | ||||
\(521\) | −96.1278 | + | 166.498i | −0.184506 | + | 0.319575i | −0.943410 | − | 0.331628i | \(-0.892402\pi\) |
0.758904 | + | 0.651203i | \(0.225735\pi\) | |||||||
\(522\) | 554.205 | − | 64.1611i | 1.06170 | − | 0.122914i | ||||
\(523\) | 261.108 | − | 150.751i | 0.499250 | − | 0.288242i | −0.229154 | − | 0.973390i | \(-0.573596\pi\) |
0.728404 | + | 0.685148i | \(0.240262\pi\) | |||||||
\(524\) | −3.92661 | − | 45.0398i | −0.00749353 | − | 0.0859539i | ||||
\(525\) | 56.2272 | − | 173.630i | 0.107100 | − | 0.330723i | ||||
\(526\) | −547.673 | + | 348.789i | −1.04120 | + | 0.663097i | ||||
\(527\) | −182.449 | + | 501.276i | −0.346204 | + | 0.951188i | ||||
\(528\) | −168.427 | − | 790.944i | −0.318991 | − | 1.49800i | ||||
\(529\) | 5.22135 | − | 29.6117i | 0.00987022 | − | 0.0559768i | ||||
\(530\) | −53.1078 | + | 402.919i | −0.100203 | + | 0.760224i | ||||
\(531\) | 322.862 | − | 81.1726i | 0.608027 | − | 0.152867i | ||||
\(532\) | −458.848 | − | 123.098i | −0.862496 | − | 0.231387i | ||||
\(533\) | −227.976 | − | 191.295i | −0.427723 | − | 0.358902i | ||||
\(534\) | −321.626 | + | 316.585i | −0.602295 | + | 0.592857i | ||||
\(535\) | 302.353 | − | 53.3130i | 0.565146 | − | 0.0996504i | ||||
\(536\) | −579.032 | + | 182.276i | −1.08028 | + | 0.340068i | ||||
\(537\) | 51.0843 | − | 31.9908i | 0.0951291 | − | 0.0595733i | ||||
\(538\) | 536.126 | + | 169.130i | 0.996517 | + | 0.314368i | ||||
\(539\) | − | 866.433i | − | 1.60748i | ||||||
\(540\) | −151.806 | + | 444.688i | −0.281122 | + | 0.823497i | ||||
\(541\) | −53.7516 | −0.0993561 | −0.0496780 | − | 0.998765i | \(-0.515820\pi\) | ||||
−0.0496780 | + | 0.998765i | \(0.515820\pi\) | |||||||
\(542\) | 163.014 | − | 516.739i | 0.300764 | − | 0.953394i | ||||
\(543\) | −271.671 | + | 512.151i | −0.500314 | + | 0.943188i | ||||
\(544\) | 716.287 | − | 455.557i | 1.31670 | − | 0.837421i | ||||
\(545\) | 67.4844 | + | 382.723i | 0.123825 | + | 0.702244i | ||||
\(546\) | −477.080 | + | 123.804i | −0.873773 | + | 0.226746i | ||||
\(547\) | −309.469 | + | 368.810i | −0.565756 | + | 0.674242i | −0.970754 | − | 0.240076i | \(-0.922828\pi\) |
0.404998 | + | 0.914318i | \(0.367272\pi\) | |||||||
\(548\) | 606.418 | + | 162.688i | 1.10660 | + | 0.296876i | ||||
\(549\) | 464.015 | + | 335.736i | 0.845200 | + | 0.611540i | ||||
\(550\) | −202.794 | − | 26.7298i | −0.368716 | − | 0.0485997i | ||||
\(551\) | −361.754 | − | 63.7870i | −0.656541 | − | 0.115766i | ||||
\(552\) | 97.4171 | − | 527.157i | 0.176480 | − | 0.954994i | ||||
\(553\) | 820.156 | + | 298.512i | 1.48310 | + | 0.539806i | ||||
\(554\) | −113.598 | − | 178.373i | −0.205051 | − | 0.321974i | ||||
\(555\) | −391.451 | + | 353.161i | −0.705317 | + | 0.636326i | ||||
\(556\) | 61.1799 | + | 701.759i | 0.110036 | + | 1.26216i | ||||
\(557\) | 220.981 | + | 382.751i | 0.396735 | + | 0.687165i | 0.993321 | − | 0.115384i | \(-0.0368100\pi\) |
−0.596586 | + | 0.802549i | \(0.703477\pi\) | |||||||
\(558\) | −162.095 | − | 323.642i | −0.290492 | − | 0.580003i | ||||
\(559\) | 182.710 | + | 105.488i | 0.326852 | + | 0.188708i | ||||
\(560\) | −121.559 | + | 686.943i | −0.217070 | + | 1.22668i | ||||
\(561\) | −503.480 | − | 1242.64i | −0.897469 | − | 2.21505i | ||||
\(562\) | −78.3021 | + | 150.361i | −0.139328 | + | 0.267546i | ||||
\(563\) | −539.434 | − | 642.872i | −0.958142 | − | 1.14187i | −0.989813 | − | 0.142370i | \(-0.954528\pi\) |
0.0316719 | − | 0.999498i | \(-0.489917\pi\) | |||||||
\(564\) | 232.026 | − | 71.1093i | 0.411394 | − | 0.126080i | ||||
\(565\) | −322.808 | + | 117.492i | −0.571341 | + | 0.207951i | ||||
\(566\) | −392.741 | + | 511.668i | −0.693889 | + | 0.904008i | ||||
\(567\) | −427.444 | + | 690.073i | −0.753870 | + | 1.21706i | ||||
\(568\) | 149.061 | + | 61.8232i | 0.262432 | + | 0.108844i | ||||
\(569\) | 1001.95 | − | 364.680i | 1.76090 | − | 0.640914i | 0.760927 | − | 0.648838i | \(-0.224745\pi\) |
0.999969 | + | 0.00792419i | \(0.00252237\pi\) | |||||||
\(570\) | 179.449 | − | 252.020i | 0.314823 | − | 0.442141i | ||||
\(571\) | −421.903 | − | 502.804i | −0.738884 | − | 0.880567i | 0.257435 | − | 0.966296i | \(-0.417123\pi\) |
−0.996319 | + | 0.0857285i | \(0.972678\pi\) | |||||||
\(572\) | 233.304 | + | 500.721i | 0.407874 | + | 0.875387i | ||||
\(573\) | −288.603 | − | 712.302i | −0.503670 | − | 1.24311i | ||||
\(574\) | −710.437 | + | 157.386i | −1.23770 | + | 0.274192i | ||||
\(575\) | −117.431 | − | 67.7987i | −0.204227 | − | 0.117911i | ||||
\(576\) | −109.313 | + | 565.532i | −0.189780 | + | 0.981827i | ||||
\(577\) | −117.795 | − | 204.027i | −0.204151 | − | 0.353600i | 0.745711 | − | 0.666270i | \(-0.232110\pi\) |
−0.949862 | + | 0.312670i | \(0.898777\pi\) | |||||||
\(578\) | 611.599 | − | 560.256i | 1.05813 | − | 0.969300i | ||||
\(579\) | 631.305 | − | 569.553i | 1.09034 | − | 0.983684i | ||||
\(580\) | −47.1767 | + | 537.342i | −0.0813392 | + | 0.926451i | ||||
\(581\) | −694.498 | − | 252.777i | −1.19535 | − | 0.435072i | ||||
\(582\) | 187.318 | − | 393.561i | 0.321853 | − | 0.676221i | ||||
\(583\) | 774.898 | + | 136.635i | 1.32916 | + | 0.234366i | ||||
\(584\) | 797.405 | − | 104.609i | 1.36542 | − | 0.179124i | ||||
\(585\) | 32.9242 | − | 319.285i | 0.0562806 | − | 0.545786i | ||||
\(586\) | −380.684 | + | 157.616i | −0.649632 | + | 0.268970i | ||||
\(587\) | 294.660 | − | 351.162i | 0.501976 | − | 0.598232i | −0.454245 | − | 0.890877i | \(-0.650091\pi\) |
0.956221 | + | 0.292645i | \(0.0945354\pi\) | |||||||
\(588\) | −240.750 | + | 568.241i | −0.409439 | + | 0.966396i | ||||
\(589\) | 41.3844 | + | 234.703i | 0.0702622 | + | 0.398477i | ||||
\(590\) | 13.9907 | + | 321.568i | 0.0237131 | + | 0.545030i | ||||
\(591\) | −399.313 | + | 752.781i | −0.675657 | + | 1.27374i | ||||
\(592\) | −415.721 | + | 494.823i | −0.702232 | + | 0.835850i | ||||
\(593\) | 530.547 | 0.894683 | 0.447342 | − | 0.894363i | \(-0.352371\pi\) | ||||
0.447342 | + | 0.894363i | \(0.352371\pi\) | |||||||
\(594\) | 847.387 | + | 331.063i | 1.42658 | + | 0.557345i | ||||
\(595\) | 1156.63i | 1.94391i | ||||||||
\(596\) | −225.850 | − | 322.757i | −0.378943 | − | 0.541538i | ||||
\(597\) | 348.353 | − | 218.151i | 0.583507 | − | 0.365413i | ||||
\(598\) | 15.9174 | + | 365.851i | 0.0266177 | + | 0.611790i | ||||
\(599\) | 367.257 | − | 64.7574i | 0.613118 | − | 0.108109i | 0.141538 | − | 0.989933i | \(-0.454795\pi\) |
0.471579 | + | 0.881824i | \(0.343684\pi\) | |||||||
\(600\) | 125.573 | + | 73.8795i | 0.209288 | + | 0.123133i | ||||
\(601\) | −335.573 | − | 281.579i | −0.558358 | − | 0.468518i | 0.319402 | − | 0.947619i | \(-0.396518\pi\) |
−0.877759 | + | 0.479102i | \(0.840962\pi\) | |||||||
\(602\) | 476.616 | − | 197.336i | 0.791722 | − | 0.327800i | ||||
\(603\) | 186.949 | − | 656.837i | 0.310032 | − | 1.08928i | ||||
\(604\) | −2.20942 | − | 2.21077i | −0.00365798 | − | 0.00366022i | ||||
\(605\) | 123.024 | − | 697.706i | 0.203346 | − | 1.15323i | ||||
\(606\) | 179.312 | + | 260.438i | 0.295894 | + | 0.429765i | ||||
\(607\) | −56.8614 | + | 156.226i | −0.0936762 | + | 0.257373i | −0.977677 | − | 0.210111i | \(-0.932617\pi\) |
0.884001 | + | 0.467484i | \(0.154840\pi\) | |||||||
\(608\) | 175.374 | − | 336.263i | 0.288444 | − | 0.553064i | ||||
\(609\) | −287.082 | + | 886.509i | −0.471399 | + | 1.45568i | ||||
\(610\) | −408.322 | + | 374.044i | −0.669381 | + | 0.613187i | ||||
\(611\) | −143.564 | + | 82.8865i | −0.234965 | + | 0.135657i | ||||
\(612\) | −15.0828 | + | 954.873i | −0.0246451 | + | 1.56025i | ||||
\(613\) | −95.7272 | + | 165.804i | −0.156162 | + | 0.270480i | −0.933481 | − | 0.358626i | \(-0.883245\pi\) |
0.777320 | + | 0.629106i | \(0.216579\pi\) | |||||||
\(614\) | −438.321 | + | 97.1032i | −0.713878 | + | 0.158149i | ||||
\(615\) | 65.4893 | − | 469.325i | 0.106487 | − | 0.763131i | ||||
\(616\) | 1318.53 | + | 292.945i | 2.14047 | + | 0.475559i | ||||
\(617\) | 216.274 | − | 181.476i | 0.350526 | − | 0.294126i | −0.450475 | − | 0.892789i | \(-0.648745\pi\) |
0.801001 | + | 0.598663i | \(0.204301\pi\) | |||||||
\(618\) | 260.035 | + | 24.8209i | 0.420769 | + | 0.0401632i | ||||
\(619\) | 22.1636 | + | 60.8940i | 0.0358055 | + | 0.0983748i | 0.956307 | − | 0.292364i | \(-0.0944418\pi\) |
−0.920502 | + | 0.390739i | \(0.872220\pi\) | |||||||
\(620\) | 338.066 | − | 90.4739i | 0.545268 | − | 0.145926i | ||||
\(621\) | 435.061 | + | 417.663i | 0.700582 | + | 0.672566i | ||||
\(622\) | 273.544 | − | 356.377i | 0.439781 | − | 0.572953i | ||||
\(623\) | −257.805 | − | 708.313i | −0.413812 | − | 1.13694i | ||||
\(624\) | −13.8777 | − | 393.219i | −0.0222399 | − | 0.630159i | ||||
\(625\) | −334.289 | + | 280.502i | −0.534862 | + | 0.448803i | ||||
\(626\) | 369.133 | − | 708.834i | 0.589670 | − | 1.13232i | ||||
\(627\) | −472.382 | − | 368.319i | −0.753401 | − | 0.587430i | ||||
\(628\) | 300.940 | − | 644.853i | 0.479203 | − | 1.02684i | ||||
\(629\) | −535.754 | + | 927.954i | −0.851756 | + | 1.47528i | ||||
\(630\) | −570.264 | − | 539.201i | −0.905182 | − | 0.855874i | ||||
\(631\) | −310.209 | + | 179.099i | −0.491615 | + | 0.283834i | −0.725244 | − | 0.688492i | \(-0.758273\pi\) |
0.233629 | + | 0.972326i | \(0.424940\pi\) | |||||||
\(632\) | −374.629 | + | 587.456i | −0.592768 | + | 0.929519i | ||||
\(633\) | −541.782 | + | 115.716i | −0.855895 | + | 0.182805i | ||||
\(634\) | −16.5864 | − | 26.0443i | −0.0261616 | − | 0.0410793i | ||||
\(635\) | −141.143 | + | 387.786i | −0.222272 | + | 0.610686i | ||||
\(636\) | −470.243 | − | 304.927i | −0.739376 | − | 0.479445i | ||||
\(637\) | 73.2040 | − | 415.161i | 0.114920 | − | 0.651744i | ||||
\(638\) | 1035.41 | + | 136.476i | 1.62290 | + | 0.213912i | ||||
\(639\) | −150.308 | + | 101.814i | −0.235224 | + | 0.159334i | ||||
\(640\) | −514.282 | − | 213.667i | −0.803566 | − | 0.333855i | ||||
\(641\) | −575.070 | − | 482.541i | −0.897146 | − | 0.752795i | 0.0724847 | − | 0.997370i | \(-0.476907\pi\) |
−0.969630 | + | 0.244575i | \(0.921352\pi\) | |||||||
\(642\) | −112.809 | + | 408.090i | −0.175715 | + | 0.635654i | ||||
\(643\) | −899.318 | + | 158.574i | −1.39863 | + | 0.246616i | −0.821580 | − | 0.570093i | \(-0.806907\pi\) |
−0.577049 | + | 0.816709i | \(0.695796\pi\) | |||||||
\(644\) | 733.297 | + | 513.794i | 1.13866 | + | 0.797816i | ||||
\(645\) | 12.0538 | + | 335.721i | 0.0186881 | + | 0.520498i | ||||
\(646\) | 189.170 | − | 599.651i | 0.292833 | − | 0.928252i | ||||
\(647\) | 457.889i | 0.707710i | 0.935300 | + | 0.353855i | \(0.115129\pi\) | ||||
−0.935300 | + | 0.353855i | \(0.884871\pi\) | |||||||
\(648\) | −463.760 | − | 452.582i | −0.715679 | − | 0.698430i | ||||
\(649\) | 623.187 | 0.960227 | ||||||||
\(650\) | −94.9125 | − | 29.9417i | −0.146019 | − | 0.0460642i | ||||
\(651\) | 604.175 | − | 21.6925i | 0.928073 | − | 0.0333218i | ||||
\(652\) | 616.971 | − | 880.554i | 0.946275 | − | 1.35054i | ||||
\(653\) | 44.8800 | + | 254.527i | 0.0687289 | + | 0.389781i | 0.999695 | + | 0.0246765i | \(0.00785556\pi\) |
−0.930967 | + | 0.365104i | \(0.881033\pi\) | |||||||
\(654\) | −516.566 | − | 142.795i | −0.789856 | − | 0.218341i | ||||
\(655\) | −31.6095 | + | 37.6707i | −0.0482587 | + | 0.0575125i | ||||
\(656\) | 0.354914 | − | 580.887i | 0.000541028 | − | 0.885498i | ||||
\(657\) | −395.026 | + | 813.977i | −0.601257 | + | 1.23893i | ||||
\(658\) | −52.9674 | + | 401.853i | −0.0804976 | + | 0.610719i | ||||
\(659\) | 773.092 | + | 136.317i | 1.17313 | + | 0.206854i | 0.726051 | − | 0.687640i | \(-0.241353\pi\) |
0.447078 | + | 0.894495i | \(0.352465\pi\) | |||||||
\(660\) | −478.564 | + | 738.017i | −0.725097 | + | 1.11821i | ||||
\(661\) | 871.348 | + | 317.145i | 1.31823 | + | 0.479795i | 0.902890 | − | 0.429872i | \(-0.141441\pi\) |
0.415337 | + | 0.909668i | \(0.363664\pi\) | |||||||
\(662\) | −468.616 | + | 298.441i | −0.707880 | + | 0.450817i | ||||
\(663\) | −136.258 | − | 637.964i | −0.205518 | − | 0.962238i | ||||
\(664\) | 317.232 | − | 497.451i | 0.477758 | − | 0.749173i | ||||
\(665\) | 258.368 | + | 447.507i | 0.388524 | + | 0.672943i | ||||
\(666\) | −207.759 | − | 696.746i | −0.311951 | − | 1.04616i | ||||
\(667\) | 599.571 | + | 346.162i | 0.898907 | + | 0.518984i | ||||
\(668\) | −78.4248 | − | 36.5993i | −0.117402 | − | 0.0547893i | ||||
\(669\) | 402.800 | − | 516.606i | 0.602093 | − | 0.772206i | ||||
\(670\) | 585.630 | + | 304.973i | 0.874074 | + | 0.455184i | ||||
\(671\) | 689.152 | + | 821.299i | 1.02705 | + | 1.22399i | ||||
\(672\) | −783.344 | − | 558.496i | −1.16569 | − | 0.831095i | ||||
\(673\) | −435.450 | + | 158.491i | −0.647029 | + | 0.235499i | −0.644626 | − | 0.764498i | \(-0.722987\pi\) |
−0.00240244 | + | 0.999997i | \(0.500765\pi\) | |||||||
\(674\) | −885.811 | − | 679.921i | −1.31426 | − | 1.00879i | ||||
\(675\) | −147.105 | + | 72.2854i | −0.217934 | + | 0.107089i | ||||
\(676\) | −105.278 | − | 393.382i | −0.155736 | − | 0.581926i | ||||
\(677\) | 1255.40 | − | 456.930i | 1.85436 | − | 0.674933i | 0.871559 | − | 0.490291i | \(-0.163110\pi\) |
0.982806 | − | 0.184642i | \(-0.0591126\pi\) | |||||||
\(678\) | 45.0149 | − | 471.598i | 0.0663937 | − | 0.695572i | ||||
\(679\) | 467.946 | + | 557.676i | 0.689169 | + | 0.821320i | ||||
\(680\) | −901.349 | − | 200.258i | −1.32551 | − | 0.294497i | ||||
\(681\) | 900.829 | + | 125.701i | 1.32280 | + | 0.184583i | ||||
\(682\) | −146.553 | − | 661.537i | −0.214888 | − | 0.969996i | ||||
\(683\) | −608.347 | − | 351.229i | −0.890698 | − | 0.514245i | −0.0165271 | − | 0.999863i | \(-0.505261\pi\) |
−0.874171 | + | 0.485619i | \(0.838594\pi\) | |||||||
\(684\) | 207.464 | + | 372.816i | 0.303311 | + | 0.545052i | ||||
\(685\) | −341.462 | − | 591.430i | −0.498485 | − | 0.863402i | ||||
\(686\) | −32.8730 | − | 35.8855i | −0.0479198 | − | 0.0523113i | ||||
\(687\) | 884.467 | + | 286.420i | 1.28743 | + | 0.416915i | ||||
\(688\) | 71.2609 | + | 405.589i | 0.103577 | + | 0.589520i | ||||
\(689\) | 359.757 | + | 130.941i | 0.522143 | + | 0.190045i | ||||
\(690\) | −480.271 | + | 330.668i | −0.696045 | + | 0.479229i | ||||
\(691\) | −57.8084 | − | 10.1932i | −0.0836590 | − | 0.0147513i | 0.131662 | − | 0.991295i | \(-0.457969\pi\) |
−0.215321 | + | 0.976543i | \(0.569080\pi\) | |||||||
\(692\) | −331.410 | + | 331.207i | −0.478916 | + | 0.478623i | ||||
\(693\) | −1090.97 | + | 1057.69i | −1.57427 | + | 1.52625i | ||||
\(694\) | −342.906 | − | 828.207i | −0.494101 | − | 1.19338i | ||||
\(695\) | 492.502 | − | 586.941i | 0.708636 | − | 0.844520i | ||||
\(696\) | −641.143 | − | 377.210i | −0.921183 | − | 0.541968i | ||||
\(697\) | −167.240 | − | 948.463i | −0.239942 | − | 1.36078i | ||||
\(698\) | −1019.49 | + | 44.3559i | −1.46059 | + | 0.0635472i | ||||
\(699\) | 69.2905 | + | 110.646i | 0.0991280 | + | 0.158292i | ||||
\(700\) | −199.377 | + | 139.515i | −0.284825 | + | 0.199307i | ||||
\(701\) | −50.6411 | −0.0722413 | −0.0361206 | − | 0.999347i | \(-0.511500\pi\) | ||||
−0.0361206 | + | 0.999347i | \(0.511500\pi\) | |||||||
\(702\) | 378.064 | + | 230.227i | 0.538552 | + | 0.327959i | ||||
\(703\) | 478.709i | 0.680951i | ||||||||
\(704\) | −456.578 | + | 976.797i | −0.648548 | + | 1.38750i | ||||
\(705\) | −233.185 | − | 123.693i | −0.330759 | − | 0.175451i | ||||
\(706\) | 414.277 | − | 18.0243i | 0.586795 | − | 0.0255302i | ||||
\(707\) | −520.099 | + | 91.7074i | −0.735641 | + | 0.129713i | ||||
\(708\) | −408.711 | − | 173.161i | −0.577275 | − | 0.244578i | ||||
\(709\) | −541.957 | − | 454.756i | −0.764397 | − | 0.641405i | 0.174870 | − | 0.984591i | \(-0.444049\pi\) |
−0.939267 | + | 0.343186i | \(0.888494\pi\) | |||||||
\(710\) | −67.1459 | − | 162.175i | −0.0945718 | − | 0.228415i | ||||
\(711\) | −320.221 | − | 715.443i | −0.450381 | − | 1.00625i | ||||
\(712\) | 596.618 | − | 78.2681i | 0.837947 | − | 0.109927i | ||||
\(713\) | 77.9982 | − | 442.350i | 0.109394 | − | 0.620406i | ||||
\(714\) | −1440.24 | − | 685.495i | −2.01715 | − | 0.960077i | ||||
\(715\) | 205.503 | − | 564.615i | 0.287417 | − | 0.789672i | ||||
\(716\) | −80.0581 | − | 7.02882i | −0.111813 | − | 0.00981679i | ||||
\(717\) | 669.541 | + | 742.134i | 0.933809 | + | 1.03505i | ||||
\(718\) | −82.4576 | − | 90.0143i | −0.114843 | − | 0.125368i | ||||
\(719\) | −1042.00 | + | 601.598i | −1.44923 | + | 0.836715i | −0.998436 | − | 0.0559107i | \(-0.982194\pi\) |
−0.450798 | + | 0.892626i | \(0.648860\pi\) | |||||||
\(720\) | 518.929 | − | 351.045i | 0.720735 | − | 0.487563i | ||||
\(721\) | −218.147 | + | 377.841i | −0.302561 | + | 0.524051i | ||||
\(722\) | 95.4024 | + | 430.644i | 0.132136 | + | 0.596459i | ||||
\(723\) | −964.358 | + | 390.728i | −1.33383 | + | 0.540426i | ||||
\(724\) | 700.669 | − | 326.467i | 0.967775 | − | 0.450921i | ||||
\(725\) | −144.136 | + | 120.945i | −0.198809 | + | 0.166821i | ||||
\(726\) | 795.878 | + | 566.699i | 1.09625 | + | 0.780577i | ||||
\(727\) | −74.9737 | − | 205.989i | −0.103128 | − | 0.283341i | 0.877388 | − | 0.479781i | \(-0.159284\pi\) |
−0.980516 | + | 0.196441i | \(0.937062\pi\) | |||||||
\(728\) | 607.036 | + | 251.769i | 0.833841 | + | 0.345836i | ||||
\(729\) | 712.164 | − | 155.767i | 0.976905 | − | 0.213673i | ||||
\(730\) | −693.919 | − | 532.631i | −0.950574 | − | 0.729632i | ||||
\(731\) | 233.516 | + | 641.581i | 0.319448 | + | 0.877676i | ||||
\(732\) | −223.764 | − | 730.131i | −0.305688 | − | 0.997446i | ||||
\(733\) | 18.6768 | − | 15.6717i | 0.0254799 | − | 0.0213802i | −0.629959 | − | 0.776629i | \(-0.716928\pi\) |
0.655439 | + | 0.755248i | \(0.272484\pi\) | |||||||
\(734\) | −465.433 | − | 242.379i | −0.634104 | − | 0.330217i | ||||
\(735\) | 622.134 | − | 252.069i | 0.846440 | − | 0.342952i | ||||
\(736\) | −527.357 | + | 482.494i | −0.716518 | + | 0.655562i | ||||
\(737\) | 639.196 | − | 1107.12i | 0.867295 | − | 1.50220i | ||||
\(738\) | 545.595 | + | 359.702i | 0.739289 | + | 0.487401i | ||||
\(739\) | 223.668 | − | 129.135i | 0.302664 | − | 0.174743i | −0.340975 | − | 0.940072i | \(-0.610757\pi\) |
0.643639 | + | 0.765329i | \(0.277424\pi\) | |||||||
\(740\) | 700.298 | − | 61.0526i | 0.946349 | − | 0.0825035i | ||||
\(741\) | −195.228 | − | 216.395i | −0.263466 | − | 0.292031i | ||||
\(742\) | 789.565 | − | 502.839i | 1.06410 | − | 0.677680i | ||||
\(743\) | 118.080 | − | 324.422i | 0.158923 | − | 0.436638i | −0.834518 | − | 0.550980i | \(-0.814254\pi\) |
0.993441 | + | 0.114342i | \(0.0364761\pi\) | |||||||
\(744\) | −87.7018 | + | 474.584i | −0.117879 | + | 0.637882i | ||||
\(745\) | −74.4041 | + | 421.967i | −0.0998713 | + | 0.566398i | ||||
\(746\) | −144.742 | + | 1098.13i | −0.194024 | + | 1.47202i | ||||
\(747\) | 271.159 | + | 605.828i | 0.362998 | + | 0.811015i | ||||
\(748\) | −463.215 | + | 1726.63i | −0.619271 | + | 2.30833i | ||||
\(749\) | −541.721 | − | 454.558i | −0.723259 | − | 0.606886i | ||||
\(750\) | −203.732 | − | 785.087i | −0.271643 | − | 1.04678i | ||||
\(751\) | −461.870 | + | 81.4402i | −0.615007 | + | 0.108442i | −0.472470 | − | 0.881347i | \(-0.656637\pi\) |
−0.142538 | + | 0.989789i | \(0.545526\pi\) | |||||||
\(752\) | −303.990 | − | 110.854i | −0.404242 | − | 0.147412i | ||||
\(753\) | 37.1718 | + | 19.7178i | 0.0493649 | + | 0.0261856i | ||||
\(754\) | 484.598 | + | 152.875i | 0.642703 | + | 0.202752i | ||||
\(755\) | 3.39966i | 0.00450285i | ||||||||
\(756\) | 1009.39 | − | 390.532i | 1.33518 | − | 0.516577i | ||||
\(757\) | −653.653 | −0.863479 | −0.431739 | − | 0.901998i | \(-0.642100\pi\) | ||||
−0.431739 | + | 0.901998i | \(0.642100\pi\) | |||||||
\(758\) | −37.2281 | + | 118.010i | −0.0491136 | + | 0.155685i | ||||
\(759\) | 599.194 | + | 956.819i | 0.789452 | + | 1.26063i | ||||
\(760\) | −393.472 | + | 123.863i | −0.517726 | + | 0.162978i | ||||
\(761\) | 114.654 | + | 650.234i | 0.150662 | + | 0.854446i | 0.962645 | + | 0.270766i | \(0.0872769\pi\) |
−0.811983 | + | 0.583681i | \(0.801612\pi\) | |||||||
\(762\) | −399.224 | − | 405.580i | −0.523916 | − | 0.532257i | ||||
\(763\) | 575.386 | − | 685.719i | 0.754110 | − | 0.898714i | ||||
\(764\) | −265.522 | + | 989.732i | −0.347542 | + | 1.29546i | ||||
\(765\) | 745.790 | − | 723.038i | 0.974889 | − | 0.945148i | ||||
\(766\) | 717.316 | + | 94.5479i | 0.936443 | + | 0.123431i | ||||
\(767\) | 298.607 | + | 52.6525i | 0.389318 | + | 0.0686473i | ||||
\(768\) | 570.858 | − | 513.755i | 0.743305 | − | 0.668952i | ||||
\(769\) | −1263.92 | − | 460.030i | −1.64359 | − | 0.598219i | −0.655931 | − | 0.754821i | \(-0.727724\pi\) |
−0.987662 | + | 0.156602i | \(0.949946\pi\) | |||||||
\(770\) | −789.174 | − | 1239.17i | −1.02490 | − | 1.60932i | ||||
\(771\) | 484.374 | + | 156.857i | 0.628241 | + | 0.203446i | ||||
\(772\) | −1129.39 | + | 98.4613i | −1.46294 | + | 0.127541i | ||||
\(773\) | −116.766 | − | 202.245i | −0.151056 | − | 0.261637i | 0.780560 | − | 0.625081i | \(-0.214934\pi\) |
−0.931616 | + | 0.363444i | \(0.881601\pi\) | |||||||
\(774\) | −425.187 | − | 183.961i | −0.549337 | − | 0.237676i | ||||
\(775\) | 105.720 | + | 61.0372i | 0.136412 | + | 0.0787577i | ||||
\(776\) | −515.612 | + | 268.110i | −0.664449 | + | 0.345503i | ||||
\(777\) | 1202.71 | + | 167.825i | 1.54789 | + | 0.215991i | ||||
\(778\) | 276.460 | − | 530.876i | 0.355346 | − | 0.682360i | ||||
\(779\) | −276.574 | − | 329.609i | −0.355038 | − | 0.423117i | ||||
\(780\) | −291.663 | + | 313.195i | −0.373927 | + | 0.401532i | ||||
\(781\) | −319.346 | + | 116.233i | −0.408894 | + | 0.148825i | ||||
\(782\) | −721.574 | + | 940.077i | −0.922729 | + | 1.20214i | ||||
\(783\) | 751.081 | − | 369.070i | 0.959235 | − | 0.471354i | ||||
\(784\) | 712.860 | − | 410.989i | 0.909260 | − | 0.524221i | ||||
\(785\) | −727.346 | + | 264.732i | −0.926556 | + | 0.337239i | ||||
\(786\) | −28.1740 | − | 61.6866i | −0.0358448 | − | 0.0784817i | ||||
\(787\) | −393.189 | − | 468.584i | −0.499604 | − | 0.595405i | 0.456029 | − | 0.889965i | \(-0.349271\pi\) |
−0.955633 | + | 0.294560i | \(0.904827\pi\) | |||||||
\(788\) | 1029.87 | − | 479.855i | 1.30695 | − | 0.608953i | ||||
\(789\) | −598.876 | + | 768.080i | −0.759032 | + | 0.973486i | ||||
\(790\) | 739.908 | − | 163.915i | 0.936593 | − | 0.207488i | ||||
\(791\) | 685.248 | + | 395.628i | 0.866306 | + | 0.500162i | ||||
\(792\) | −635.357 | − | 1033.31i | −0.802218 | − | 1.30469i | ||||
\(793\) | 260.824 | + | 451.760i | 0.328908 | + | 0.569685i | ||||
\(794\) | −581.294 | + | 532.494i | −0.732108 | + | 0.670648i | ||||
\(795\) | 127.330 | + | 596.159i | 0.160163 | + | 0.749886i | ||||
\(796\) | −545.931 | − | 47.9308i | −0.685843 | − | 0.0602146i | ||||
\(797\) | 494.327 | + | 179.920i | 0.620234 | + | 0.225747i | 0.632975 | − | 0.774172i | \(-0.281833\pi\) |
−0.0127409 | + | 0.999919i | \(0.504056\pi\) | |||||||
\(798\) | −710.366 | + | 56.5000i | −0.890183 | + | 0.0708020i | ||||
\(799\) | −528.321 | − | 93.1573i | −0.661228 | − | 0.116592i | ||||
\(800\) | −74.2025 | − | 179.528i | −0.0927531 | − | 0.224411i | ||||
\(801\) | −295.558 | + | 609.017i | −0.368986 | + | 0.760321i | ||||
\(802\) | 80.9153 | − | 33.5017i | 0.100892 | − | 0.0417727i | ||||
\(803\) | −1088.67 | + | 1297.43i | −1.35575 | + | 1.61572i | ||||
\(804\) | −726.839 | + | 548.484i | −0.904029 | + | 0.682194i | ||||
\(805\) | −169.117 | − | 959.109i | −0.210083 | − | 1.19144i | ||||
\(806\) | −14.3300 | − | 329.365i | −0.0177791 | − | 0.408641i | ||||
\(807\) | 842.713 | − | 30.2570i | 1.04425 | − | 0.0374931i | ||||
\(808\) | 18.5828 | − | 421.186i | 0.0229985 | − | 0.521270i | ||||
\(809\) | 544.887 | 0.673531 | 0.336766 | − | 0.941588i | \(-0.390667\pi\) | ||||
0.336766 | + | 0.941588i | \(0.390667\pi\) | |||||||
\(810\) | 8.81214 | + | 704.774i | 0.0108792 | + | 0.870091i | ||||
\(811\) | − | 770.624i | − | 0.950214i | −0.879928 | − | 0.475107i | \(-0.842409\pi\) | ||
0.879928 | − | 0.475107i | \(-0.157591\pi\) | |||||||
\(812\) | 1017.97 | − | 712.326i | 1.25366 | − | 0.877249i | ||||
\(813\) | −29.1629 | − | 812.240i | −0.0358707 | − | 0.999065i | ||||
\(814\) | −59.1590 | − | 1359.73i | −0.0726769 | − | 1.67043i | ||||
\(815\) | −1151.71 | + | 203.078i | −1.41315 | + | 0.249176i | ||||
\(816\) | 783.563 | − | 1003.68i | 0.960249 | − | 1.23000i | ||||
\(817\) | 233.666 | + | 196.069i | 0.286005 | + | 0.239986i | ||||
\(818\) | 767.195 | − | 317.645i | 0.937891 | − | 0.388319i | ||||
\(819\) | −612.113 | + | 414.627i | −0.747391 | + | 0.506261i | ||||
\(820\) | −446.908 | + | 446.635i | −0.545009 | + | 0.544677i | ||||
\(821\) | 11.4448 | − | 64.9068i | 0.0139401 | − | 0.0790582i | −0.977044 | − | 0.213037i | \(-0.931664\pi\) |
0.990984 | + | 0.133979i | \(0.0427755\pi\) | |||||||
\(822\) | 938.828 | − | 74.6710i | 1.14213 | − | 0.0908406i | ||||
\(823\) | −408.452 | + | 1122.21i | −0.496297 | + | 1.36356i | 0.398531 | + | 0.917155i | \(0.369520\pi\) |
−0.894828 | + | 0.446410i | \(0.852702\pi\) | |||||||
\(824\) | −256.678 | − | 235.419i | −0.311503 | − | 0.285702i | ||||
\(825\) | −300.054 | + | 64.0866i | −0.363702 | + | 0.0776807i | ||||
\(826\) | 546.681 | − | 500.787i | 0.661841 | − | 0.606280i | ||||
\(827\) | −956.879 | + | 552.455i | −1.15705 | + | 0.668022i | −0.950595 | − | 0.310434i | \(-0.899526\pi\) |
−0.206454 | + | 0.978456i | \(0.566192\pi\) | |||||||
\(828\) | −127.110 | − | 794.014i | −0.153515 | − | 0.958954i | ||||
\(829\) | 281.510 | − | 487.590i | 0.339578 | − | 0.588167i | −0.644775 | − | 0.764372i | \(-0.723049\pi\) |
0.984353 | + | 0.176205i | \(0.0563823\pi\) | |||||||
\(830\) | −626.545 | + | 138.801i | −0.754874 | + | 0.167231i | ||||
\(831\) | −250.158 | − | 195.050i | −0.301033 | − | 0.234717i | ||||
\(832\) | −301.303 | + | 429.467i | −0.362143 | + | 0.516186i | ||||
\(833\) | 1045.09 | − | 876.931i | 1.25460 | − | 1.05274i | ||||
\(834\) | 438.975 | + | 961.129i | 0.526349 | + | 1.15243i | ||||
\(835\) | 32.1959 | + | 88.4574i | 0.0385579 | + | 0.105937i | ||||
\(836\) | 206.475 | + | 771.519i | 0.246980 | + | 0.922869i | ||||
\(837\) | −391.673 | − | 376.010i | −0.467949 | − | 0.449236i | ||||
\(838\) | 77.3515 | − | 100.775i | 0.0923049 | − | 0.120256i | ||||
\(839\) | −341.688 | − | 938.779i | −0.407256 | − | 1.11893i | −0.958627 | − | 0.284666i | \(-0.908117\pi\) |
0.551371 | − | 0.834260i | \(-0.314105\pi\) | |||||||
\(840\) | 173.250 | + | 1031.98i | 0.206251 | + | 1.22855i | ||||
\(841\) | 91.6803 | − | 76.9289i | 0.109013 | − | 0.0914731i | ||||
\(842\) | −578.598 | + | 1111.06i | −0.687171 | + | 1.31955i | ||||
\(843\) | −35.1432 | + | 251.851i | −0.0416882 | + | 0.298756i | ||||
\(844\) | 669.366 | + | 312.379i | 0.793087 | + | 0.370118i | ||||
\(845\) | −221.469 | + | 383.596i | −0.262094 | + | 0.453960i | ||||
\(846\) | 292.225 | − | 217.056i | 0.345420 | − | 0.256567i | ||||
\(847\) | −1413.22 | + | 815.925i | −1.66850 | + | 0.963312i | ||||
\(848\) | 255.153 | + | 702.362i | 0.300888 | + | 0.828257i | ||||
\(849\) | −298.079 | + | 920.468i | −0.351094 | + | 1.08418i | ||||
\(850\) | −173.010 | − | 271.662i | −0.203541 | − | 0.319603i | ||||
\(851\) | 308.582 | − | 847.823i | 0.362611 | − | 0.996266i | ||||
\(852\) | 241.737 | + | 12.5048i | 0.283729 | + | 0.0146771i | ||||
\(853\) | 23.3839 | − | 132.617i | 0.0274137 | − | 0.155471i | −0.968028 | − | 0.250842i | \(-0.919293\pi\) |
0.995442 | + | 0.0953710i | \(0.0304037\pi\) | |||||||
\(854\) | 1264.53 | + | 166.676i | 1.48072 | + | 0.195170i | ||||
\(855\) | 127.039 | − | 446.344i | 0.148583 | − | 0.522039i | ||||
\(856\) | 448.026 | − | 343.456i | 0.523395 | − | 0.401234i | ||||
\(857\) | 219.310 | + | 184.023i | 0.255904 | + | 0.214729i | 0.761710 | − | 0.647918i | \(-0.224360\pi\) |
−0.505806 | + | 0.862647i | \(0.668805\pi\) | |||||||
\(858\) | 581.270 | + | 590.524i | 0.677471 | + | 0.688256i | ||||
\(859\) | −1032.05 | + | 181.978i | −1.20145 | + | 0.211848i | −0.738326 | − | 0.674444i | \(-0.764383\pi\) |
−0.463126 | + | 0.886292i | \(0.653272\pi\) | |||||||
\(860\) | 257.026 | − | 366.833i | 0.298868 | − | 0.426550i | ||||
\(861\) | −925.069 | + | 579.312i | −1.07441 | + | 0.672836i | ||||
\(862\) | 76.4452 | − | 242.324i | 0.0886836 | − | 0.281119i | ||||
\(863\) | − | 1607.61i | − | 1.86282i | −0.363973 | − | 0.931409i | \(-0.618580\pi\) | ||
0.363973 | − | 0.931409i | \(-0.381420\pi\) | |||||||
\(864\) | 129.572 | + | 854.229i | 0.149968 | + | 0.988691i | ||||
\(865\) | 509.631 | 0.589169 | ||||||||
\(866\) | −1120.64 | − | 353.525i | −1.29404 | − | 0.408228i | ||||
\(867\) | 583.005 | − | 1099.08i | 0.672440 | − | 1.26768i | ||||
\(868\) | −660.166 | − | 462.554i | −0.760560 | − | 0.532896i | ||||
\(869\) | −254.793 | − | 1445.00i | −0.293203 | − | 1.66283i | ||||
\(870\) | 203.235 | + | 783.173i | 0.233604 | + | 0.900198i | ||||
\(871\) | 399.817 | − | 476.484i | 0.459032 | − | 0.547054i | ||||
\(872\) | 434.752 | + | 567.118i | 0.498569 | + | 0.650365i | ||||
\(873\) | 67.0630 | − | 650.349i | 0.0768190 | − | 0.744959i | ||||
\(874\) | −69.1870 | + | 524.908i | −0.0791613 | + | 0.600581i | ||||
\(875\) | 1334.13 | + | 235.243i | 1.52472 | + | 0.268849i | ||||
\(876\) | 1074.50 | − | 548.402i | 1.22660 | − | 0.626029i | ||||
\(877\) | 1014.63 | + | 369.294i | 1.15693 | + | 0.421087i | 0.847999 | − | 0.529998i | \(-0.177807\pi\) |
0.308929 | + | 0.951085i | \(0.400030\pi\) | |||||||
\(878\) | −727.464 | + | 463.289i | −0.828546 | + | 0.527664i | ||||
\(879\) | −458.883 | + | 413.997i | −0.522052 | + | 0.470987i | ||||
\(880\) | 1102.31 | − | 400.447i | 1.25263 | − | 0.455053i | ||||
\(881\) | 152.141 | + | 263.516i | 0.172691 | + | 0.299110i | 0.939360 | − | 0.342933i | \(-0.111420\pi\) |
−0.766668 | + | 0.642043i | \(0.778087\pi\) | |||||||
\(882\) | −54.8389 | + | 924.080i | −0.0621756 | + | 1.04771i | ||||
\(883\) | 960.150 | + | 554.343i | 1.08737 | + | 0.627795i | 0.932876 | − | 0.360198i | \(-0.117291\pi\) |
0.154497 | + | 0.987993i | \(0.450624\pi\) | |||||||
\(884\) | −367.836 | + | 788.197i | −0.416104 | + | 0.891626i | ||||
\(885\) | 181.303 | + | 447.474i | 0.204862 | + | 0.505620i | ||||
\(886\) | −1395.02 | − | 726.473i | −1.57452 | − | 0.819947i | ||||
\(887\) | −215.519 | − | 256.845i | −0.242975 | − | 0.289566i | 0.630750 | − | 0.775986i | \(-0.282747\pi\) |
−0.873725 | + | 0.486419i | \(0.838303\pi\) | |||||||
\(888\) | −339.021 | + | 908.202i | −0.381780 | + | 1.02275i | ||||
\(889\) | 893.205 | − | 325.100i | 1.00473 | − | 0.365692i | ||||
\(890\) | −519.190 | − | 398.514i | −0.583359 | − | 0.447769i | ||||
\(891\) | 1363.99 | + | 42.2667i | 1.53085 | + | 0.0474374i | ||||
\(892\) | −843.747 | + | 225.805i | −0.945905 | + | 0.253145i | ||||
\(893\) | −225.221 | + | 81.9736i | −0.252207 | + | 0.0917958i | ||||
\(894\) | −481.340 | − | 342.734i | −0.538412 | − | 0.383372i | ||||
\(895\) | 56.1887 | + | 66.9631i | 0.0627807 | + | 0.0748191i | ||||
\(896\) | 384.418 | + | 1223.78i | 0.429038 | + | 1.36583i | ||||
\(897\) | 206.270 | + | 509.095i | 0.229955 | + | 0.567553i | ||||
\(898\) | 209.824 | + | 947.138i | 0.233657 | + | 1.05472i | ||||
\(899\) | −539.776 | − | 311.640i | −0.600419 | − | 0.346652i | ||||
\(900\) | 214.595 | + | 41.3437i | 0.238439 | + | 0.0459374i | ||||
\(901\) | 619.478 | + | 1072.97i | 0.687545 | + | 1.19086i | ||||
\(902\) | 826.317 | + | 902.044i | 0.916095 | + | 1.00005i | ||||
\(903\) | 574.522 | − | 518.324i | 0.636237 | − | 0.574003i | ||||
\(904\) | −426.953 | + | 465.509i | −0.472293 | + | 0.514944i | ||||
\(905\) | −790.078 | − | 287.565i | −0.873014 | − | 0.317751i | ||||
\(906\) | −4.23328 | − | 2.01486i | −0.00467250 | − | 0.00222391i | ||||
\(907\) | 187.688 | + | 33.0945i | 0.206933 | + | 0.0364878i | 0.276154 | − | 0.961114i | \(-0.410940\pi\) |
−0.0692208 | + | 0.997601i | \(0.522051\pi\) | |||||||
\(908\) | −857.276 | − | 857.800i | −0.944137 | − | 0.944714i | ||||
\(909\) | 384.260 | + | 278.030i | 0.422728 | + | 0.305863i | ||||
\(910\) | −273.445 | − | 660.440i | −0.300489 | − | 0.725758i | ||||
\(911\) | −358.732 | + | 427.520i | −0.393778 | + | 0.469287i | −0.926112 | − | 0.377248i | \(-0.876871\pi\) |
0.532334 | + | 0.846534i | \(0.321315\pi\) | |||||||
\(912\) | 78.9624 | − | 563.364i | 0.0865816 | − | 0.617724i | ||||
\(913\) | 215.756 | + | 1223.61i | 0.236315 | + | 1.34021i | ||||
\(914\) | 1729.77 | − | 75.2588i | 1.89253 | − | 0.0823400i | ||||
\(915\) | −389.232 | + | 733.777i | −0.425391 | + | 0.801942i | ||||
\(916\) | −710.685 | − | 1015.62i | −0.775857 | − | 1.10876i | ||||
\(917\) | 113.268 | 0.123521 | ||||||||
\(918\) | 458.329 | + | 1357.19i | 0.499269 | + | 1.47842i | ||||
\(919\) | − | 1133.08i | − | 1.23295i | −0.787376 | − | 0.616473i | \(-0.788561\pi\) | ||
0.787376 | − | 0.616473i | \(-0.211439\pi\) | |||||||
\(920\) | 776.706 | + | 34.2683i | 0.844246 | + | 0.0372482i | ||||
\(921\) | −570.743 | + | 357.420i | −0.619700 | + | 0.388078i | ||||
\(922\) | 1386.61 | − | 60.3286i | 1.50392 | − | 0.0654323i | ||||
\(923\) | −162.839 | + | 28.7128i | −0.176423 | + | 0.0311082i | ||||
\(924\) | 2010.75 | − | 248.270i | 2.17613 | − | 0.268691i | ||||
\(925\) | 187.838 | + | 157.615i | 0.203068 | + | 0.170394i | ||||
\(926\) | −521.944 | − | 1260.63i | −0.563654 | − | 1.36137i | ||||
\(927\) | 380.000 | − | 95.5380i | 0.409925 | − | 0.103061i | ||||
\(928\) | 378.859 | + | 916.626i | 0.408253 | + | 0.987743i | ||||
\(929\) | −2.83827 | + | 16.0966i | −0.00305519 | + | 0.0173269i | −0.986297 | − | 0.164978i | \(-0.947245\pi\) |
0.983242 | + | 0.182305i | \(0.0583558\pi\) | |||||||
\(930\) | 432.374 | − | 297.691i | 0.464918 | − | 0.320098i | ||||
\(931\) | 208.461 | − | 572.742i | 0.223911 | − | 0.615190i | ||||
\(932\) | 15.2241 | − | 173.402i | 0.0163348 | − | 0.186053i | ||||
\(933\) | 207.612 | − | 641.105i | 0.222521 | − | 0.687144i | ||||
\(934\) | 605.606 | + | 661.106i | 0.648400 | + | 0.707822i | ||||
\(935\) | 1683.96 | − | 972.232i | 1.80102 | − | 1.03982i | ||||
\(936\) | −217.135 | − | 548.803i | −0.231981 | − | 0.586328i | ||||
\(937\) | −208.069 | + | 360.386i | −0.222059 | + | 0.384617i | −0.955433 | − | 0.295208i | \(-0.904611\pi\) |
0.733374 | + | 0.679825i | \(0.237944\pi\) | |||||||
\(938\) | −328.946 | − | 1484.85i | −0.350689 | − | 1.58300i | ||||
\(939\) | 165.673 | − | 1187.28i | 0.176435 | − | 1.26441i | ||||
\(940\) | 148.642 | + | 319.018i | 0.158130 | + | 0.339381i | ||||
\(941\) | −248.379 | + | 208.415i | −0.263952 | + | 0.221482i | −0.765153 | − | 0.643849i | \(-0.777336\pi\) |
0.501200 | + | 0.865331i | \(0.332892\pi\) | |||||||
\(942\) | 101.427 | − | 1062.60i | 0.107672 | − | 1.12802i | ||||
\(943\) | 277.360 | + | 762.040i | 0.294125 | + | 0.808102i | ||||
\(944\) | 295.607 | + | 512.729i | 0.313143 | + | 0.543145i | ||||
\(945\) | −1076.86 | − | 475.650i | −1.13953 | − | 0.503333i | ||||
\(946\) | −687.937 | − | 528.040i | −0.727206 | − | 0.558181i | ||||
\(947\) | −505.822 | − | 1389.74i | −0.534131 | − | 1.46751i | −0.854112 | − | 0.520090i | \(-0.825899\pi\) |
0.319980 | − | 0.947424i | \(-0.396324\pi\) | |||||||
\(948\) | −234.411 | + | 1018.49i | −0.247269 | + | 1.07435i | ||||
\(949\) | −631.266 | + | 529.695i | −0.665191 | + | 0.558161i | ||||
\(950\) | −127.623 | − | 66.4609i | −0.134340 | − | 0.0699589i | ||||
\(951\) | −36.5256 | − | 28.4792i | −0.0384075 | − | 0.0299465i | ||||
\(952\) | 981.155 | + | 1886.89i | 1.03063 | + | 1.98203i | ||||
\(953\) | −711.138 | + | 1231.73i | −0.746210 | + | 1.29247i | 0.203417 | + | 0.979092i | \(0.434795\pi\) |
−0.949627 | + | 0.313382i | \(0.898538\pi\) | |||||||
\(954\) | −817.807 | − | 194.772i | −0.857240 | − | 0.204163i | ||||
\(955\) | 965.270 | − | 557.299i | 1.01075 | − | 0.583559i | ||||
\(956\) | −115.747 | − | 1327.66i | −0.121074 | − | 1.38877i | ||||
\(957\) | 1532.00 | − | 327.210i | 1.60083 | − | 0.341912i | ||||
\(958\) | −971.193 | + | 618.510i | −1.01377 | + | 0.645626i | ||||
\(959\) | −538.002 | + | 1478.15i | −0.561003 | + | 1.54134i | ||||
\(960\) | −834.211 | − | 43.6641i | −0.868969 | − | 0.0454835i | ||||
\(961\) | 96.6563 | − | 548.165i | 0.100579 | − | 0.570411i | ||||
\(962\) | 86.5354 | − | 656.527i | 0.0899537 | − | 0.682460i | ||||
\(963\) | 45.5463 | + | 633.457i | 0.0472962 | + | 0.657795i | ||||
\(964\) | 1339.96 | + | 359.480i | 1.39000 | + | 0.372904i | ||||
\(965\) | 944.607 | + | 792.620i | 0.978868 | + | 0.821368i | ||||
\(966\) | 1294.52 | + | 357.847i | 1.34009 | + | 0.370442i | ||||
\(967\) | 1199.62 | − | 211.526i | 1.24056 | − | 0.218745i | 0.485405 | − | 0.874289i | \(-0.338672\pi\) |
0.755156 | + | 0.655545i | \(0.227561\pi\) | |||||||
\(968\) | −391.158 | − | 1242.58i | −0.404089 | − | 1.28366i | ||||
\(969\) | −33.8421 | − | 942.565i | −0.0349247 | − | 0.972719i | ||||
\(970\) | 602.834 | + | 190.174i | 0.621478 | + | 0.196056i | ||||
\(971\) | 203.866i | 0.209955i | 0.994475 | + | 0.104977i | \(0.0334770\pi\) | ||||
−0.994475 | + | 0.104977i | \(0.966523\pi\) | |||||||
\(972\) | −882.814 | − | 406.723i | −0.908245 | − | 0.418440i | ||||
\(973\) | −1764.82 | −1.81379 | ||||||||
\(974\) | 66.1730 | − | 209.762i | 0.0679394 | − | 0.215362i | ||||
\(975\) | −149.189 | + | 5.35651i | −0.153014 | + | 0.00549386i | ||||
\(976\) | −348.829 | + | 956.582i | −0.357407 | + | 0.980104i | ||||
\(977\) | −65.5958 | − | 372.012i | −0.0671400 | − | 0.380770i | −0.999800 | − | 0.0200126i | \(-0.993629\pi\) |
0.932660 | − | 0.360757i | \(-0.117482\pi\) | |||||||
\(978\) | 429.708 | − | 1554.48i | 0.439374 | − | 1.58945i | ||||
\(979\) | −814.542 | + | 970.733i | −0.832014 | + | 0.991556i | ||||
\(980\) | −864.445 | − | 231.910i | −0.882087 | − | 0.236643i | ||||
\(981\) | −801.839 | + | 57.6531i | −0.817369 | + | 0.0587698i | ||||
\(982\) | −770.957 | − | 101.618i | −0.785089 | − | 0.103481i | ||||
\(983\) | −215.781 | − | 38.0481i | −0.219513 | − | 0.0387061i | 0.0628098 | − | 0.998026i | \(-0.479994\pi\) |
−0.282323 | + | 0.959319i | \(0.591105\pi\) | |||||||
\(984\) | −291.286 | − | 821.200i | −0.296023 | − | 0.834553i | ||||
\(985\) | −1161.29 | − | 422.675i | −1.17897 | − | 0.429112i | ||||
\(986\) | 883.342 | + | 1387.04i | 0.895884 | + | 1.40673i | ||||
\(987\) | 126.993 | + | 594.583i | 0.128666 | + | 0.602414i | ||||
\(988\) | 33.7500 | + | 387.126i | 0.0341599 | + | 0.391828i | ||||
\(989\) | −287.448 | − | 497.874i | −0.290645 | − | 0.503412i | ||||
\(990\) | −305.682 | + | 1283.50i | −0.308770 | + | 1.29646i | ||||
\(991\) | −1357.24 | − | 783.603i | −1.36957 | − | 0.790720i | −0.378694 | − | 0.925522i | \(-0.623627\pi\) |
−0.990873 | + | 0.134802i | \(0.956960\pi\) | |||||||
\(992\) | 474.765 | − | 434.375i | 0.478594 | − | 0.437878i | ||||
\(993\) | −512.428 | + | 657.207i | −0.516040 | + | 0.661840i | ||||
\(994\) | −186.738 | + | 358.586i | −0.187865 | + | 0.360751i | ||||
\(995\) | 383.161 | + | 456.633i | 0.385086 | + | 0.458928i | ||||
\(996\) | 198.496 | − | 862.444i | 0.199293 | − | 0.865907i | ||||
\(997\) | 136.762 | − | 49.7773i | 0.137174 | − | 0.0499271i | −0.272521 | − | 0.962150i | \(-0.587857\pi\) |
0.409695 | + | 0.912223i | \(0.365635\pi\) | |||||||
\(998\) | 128.631 | − | 167.582i | 0.128889 | − | 0.167918i | ||||
\(999\) | −643.631 | − | 880.415i | −0.644275 | − | 0.881296i |
(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 | 108.3.j.a.7.4 | ✓ | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.31 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.12 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.19.23 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.12 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.23 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.31 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.4 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.4 | ✓ | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.7.12 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.4 | yes | 204 | 108.31 | odd | 18 | inner | |
108.3.j.a.31.12 | yes | 204 | 27.4 | even | 9 | inner | |
324.3.j.a.19.23 | 204 | 12.11 | even | 2 | |||
324.3.j.a.19.31 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.23 | 204 | 27.23 | odd | 18 | |||
324.3.j.a.307.31 | 204 | 108.23 | even | 18 |