Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 69.25 |
Dual form | 69.4.e.a.58.2 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.39636 | − | 2.18271i | −1.20079 | − | 0.771704i | −0.221701 | − | 0.975115i | \(-0.571161\pi\) |
−0.979093 | + | 0.203411i | \(0.934797\pi\) | |||||||
\(3\) | −0.426945 | − | 2.96946i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 3.44773 | + | 7.54946i | 0.430966 | + | 0.943683i | ||||
\(5\) | 16.0504 | + | 4.71284i | 1.43560 | + | 0.421529i | 0.904751 | − | 0.425940i | \(-0.140057\pi\) |
0.530844 | + | 0.847469i | \(0.321875\pi\) | |||||||
\(6\) | −5.03142 | + | 11.0173i | −0.342344 | + | 0.749630i | ||||
\(7\) | 23.9549 | − | 27.6454i | 1.29344 | − | 1.49271i | 0.527927 | − | 0.849290i | \(-0.322969\pi\) |
0.765513 | − | 0.643420i | \(-0.222485\pi\) | |||||||
\(8\) | 0.172065 | − | 1.19674i | 0.00760427 | − | 0.0528889i | ||||
\(9\) | −8.63544 | + | 2.53559i | −0.319831 | + | 0.0939109i | ||||
\(10\) | −44.2263 | − | 51.0399i | −1.39856 | − | 1.61402i | ||||
\(11\) | −19.9942 | + | 12.8495i | −0.548043 | + | 0.352206i | −0.785177 | − | 0.619271i | \(-0.787428\pi\) |
0.237134 | + | 0.971477i | \(0.423792\pi\) | |||||||
\(12\) | 20.9459 | − | 13.4611i | 0.503880 | − | 0.323824i | ||||
\(13\) | −19.7489 | − | 22.7914i | −0.421335 | − | 0.486247i | 0.504908 | − | 0.863173i | \(-0.331526\pi\) |
−0.926243 | + | 0.376926i | \(0.876981\pi\) | |||||||
\(14\) | −141.701 | + | 41.6072i | −2.70509 | + | 0.794285i | ||||
\(15\) | 7.14195 | − | 49.6734i | 0.122936 | − | 0.855040i | ||||
\(16\) | 40.2835 | − | 46.4896i | 0.629429 | − | 0.726400i | ||||
\(17\) | 17.3554 | − | 38.0031i | 0.247606 | − | 0.542182i | −0.744494 | − | 0.667629i | \(-0.767309\pi\) |
0.992100 | + | 0.125447i | \(0.0400365\pi\) | |||||||
\(18\) | 34.8635 | + | 10.2368i | 0.456523 | + | 0.134047i | ||||
\(19\) | 5.52394 | + | 12.0957i | 0.0666989 | + | 0.146050i | 0.940045 | − | 0.341049i | \(-0.110782\pi\) |
−0.873347 | + | 0.487099i | \(0.838055\pi\) | |||||||
\(20\) | 19.7581 | + | 137.421i | 0.220903 | + | 1.53641i | ||||
\(21\) | −92.3193 | − | 59.3300i | −0.959321 | − | 0.616518i | ||||
\(22\) | 95.9541 | 0.929886 | ||||||||
\(23\) | 17.7826 | − | 108.861i | 0.161215 | − | 0.986919i | ||||
\(24\) | −3.62714 | −0.0308494 | ||||||||
\(25\) | 130.249 | + | 83.7062i | 1.04199 | + | 0.669650i | ||||
\(26\) | 17.3273 | + | 120.514i | 0.130699 | + | 0.909028i | ||||
\(27\) | 11.2162 | + | 24.5601i | 0.0799467 | + | 0.175059i | ||||
\(28\) | 291.298 | + | 85.5327i | 1.96607 | + | 0.577291i | ||||
\(29\) | −100.456 | + | 219.969i | −0.643251 | + | 1.40852i | 0.254088 | + | 0.967181i | \(0.418225\pi\) |
−0.897339 | + | 0.441342i | \(0.854502\pi\) | |||||||
\(30\) | −132.679 | + | 153.120i | −0.807459 | + | 0.931857i | ||||
\(31\) | 20.5582 | − | 142.986i | 0.119109 | − | 0.828419i | −0.839432 | − | 0.543464i | \(-0.817112\pi\) |
0.958541 | − | 0.284955i | \(-0.0919785\pi\) | |||||||
\(32\) | −247.571 | + | 72.6934i | −1.36765 | + | 0.401578i | ||||
\(33\) | 46.6925 | + | 53.8860i | 0.246307 | + | 0.284253i | ||||
\(34\) | −141.895 | + | 91.1903i | −0.715728 | + | 0.459971i | ||||
\(35\) | 514.774 | − | 330.825i | 2.48608 | − | 1.59771i | ||||
\(36\) | −48.9150 | − | 56.4509i | −0.226458 | − | 0.261347i | ||||
\(37\) | −79.1646 | + | 23.2448i | −0.351746 | + | 0.103282i | −0.452832 | − | 0.891596i | \(-0.649586\pi\) |
0.101087 | + | 0.994878i | \(0.467768\pi\) | |||||||
\(38\) | 7.64018 | − | 53.1386i | 0.0326158 | − | 0.226848i | ||||
\(39\) | −59.2467 | + | 68.3743i | −0.243258 | + | 0.280735i | ||||
\(40\) | 8.40176 | − | 18.3973i | 0.0332109 | − | 0.0727216i | ||||
\(41\) | 90.3363 | + | 26.5251i | 0.344101 | + | 0.101037i | 0.449217 | − | 0.893423i | \(-0.351703\pi\) |
−0.105115 | + | 0.994460i | \(0.533521\pi\) | |||||||
\(42\) | 184.050 | + | 403.012i | 0.676178 | + | 1.48062i | ||||
\(43\) | 32.9719 | + | 229.324i | 0.116934 | + | 0.813294i | 0.960900 | + | 0.276897i | \(0.0893059\pi\) |
−0.843966 | + | 0.536397i | \(0.819785\pi\) | |||||||
\(44\) | −165.941 | − | 106.644i | −0.568559 | − | 0.365390i | ||||
\(45\) | −150.552 | −0.498734 | ||||||||
\(46\) | −298.009 | + | 330.918i | −0.955195 | + | 1.06068i | ||||
\(47\) | 427.689 | 1.32734 | 0.663668 | − | 0.748027i | \(-0.268999\pi\) | ||||
0.663668 | + | 0.748027i | \(0.268999\pi\) | |||||||
\(48\) | −155.248 | − | 99.7718i | −0.466836 | − | 0.300017i | ||||
\(49\) | −141.618 | − | 984.973i | −0.412880 | − | 2.87164i | ||||
\(50\) | −259.668 | − | 568.593i | −0.734451 | − | 1.60822i | ||||
\(51\) | −120.259 | − | 35.3111i | −0.330188 | − | 0.0969518i | ||||
\(52\) | 103.974 | − | 227.672i | 0.277282 | − | 0.607163i | ||||
\(53\) | −257.586 | + | 297.270i | −0.667588 | + | 0.770438i | −0.983997 | − | 0.178185i | \(-0.942978\pi\) |
0.316409 | + | 0.948623i | \(0.397523\pi\) | |||||||
\(54\) | 15.5132 | − | 107.897i | 0.0390940 | − | 0.271905i | ||||
\(55\) | −381.473 | + | 112.011i | −0.935234 | + | 0.274609i | ||||
\(56\) | −28.9625 | − | 33.4245i | −0.0691121 | − | 0.0797596i | ||||
\(57\) | 33.5594 | − | 21.5673i | 0.0779835 | − | 0.0501169i | ||||
\(58\) | 821.314 | − | 527.826i | 1.85938 | − | 1.19495i | ||||
\(59\) | −406.691 | − | 469.346i | −0.897400 | − | 1.03566i | −0.999165 | − | 0.0408467i | \(-0.986994\pi\) |
0.101765 | − | 0.994808i | \(-0.467551\pi\) | |||||||
\(60\) | 399.631 | − | 117.342i | 0.859868 | − | 0.252480i | ||||
\(61\) | −29.7815 | + | 207.135i | −0.0625103 | + | 0.434769i | 0.934400 | + | 0.356225i | \(0.115936\pi\) |
−0.996911 | + | 0.0785441i | \(0.974973\pi\) | |||||||
\(62\) | −381.919 | + | 440.758i | −0.782319 | + | 0.902844i | ||||
\(63\) | −136.763 | + | 299.470i | −0.273501 | + | 0.598883i | ||||
\(64\) | 527.326 | + | 154.837i | 1.02993 | + | 0.302416i | ||||
\(65\) | −209.566 | − | 458.886i | −0.399900 | − | 0.875659i | ||||
\(66\) | −40.9671 | − | 284.932i | −0.0764045 | − | 0.531405i | ||||
\(67\) | 633.229 | + | 406.951i | 1.15464 | + | 0.742045i | 0.970559 | − | 0.240865i | \(-0.0774312\pi\) |
0.184086 | + | 0.982910i | \(0.441068\pi\) | |||||||
\(68\) | 346.740 | 0.618358 | ||||||||
\(69\) | −330.852 | − | 6.32715i | −0.577245 | − | 0.0110391i | ||||
\(70\) | −2470.45 | −4.21822 | ||||||||
\(71\) | 556.704 | + | 357.772i | 0.930544 | + | 0.598025i | 0.915699 | − | 0.401865i | \(-0.131638\pi\) |
0.0148456 | + | 0.999890i | \(0.495274\pi\) | |||||||
\(72\) | 1.54859 | + | 10.7706i | 0.00253476 | + | 0.0176296i | ||||
\(73\) | 307.916 | + | 674.242i | 0.493683 | + | 1.08101i | 0.978471 | + | 0.206383i | \(0.0661692\pi\) |
−0.484789 | + | 0.874631i | \(0.661104\pi\) | |||||||
\(74\) | 319.608 | + | 93.8454i | 0.502077 | + | 0.147423i | ||||
\(75\) | 192.953 | − | 422.509i | 0.297071 | − | 0.650495i | ||||
\(76\) | −72.2713 | + | 83.4056i | −0.109080 | + | 0.125885i | ||||
\(77\) | −123.729 | + | 860.554i | −0.183120 | + | 1.27363i | ||||
\(78\) | 350.464 | − | 102.906i | 0.508747 | − | 0.149382i | ||||
\(79\) | 840.960 | + | 970.519i | 1.19766 | + | 1.38218i | 0.904698 | + | 0.426054i | \(0.140097\pi\) |
0.292965 | + | 0.956123i | \(0.405358\pi\) | |||||||
\(80\) | 865.665 | − | 556.329i | 1.20980 | − | 0.777494i | ||||
\(81\) | 68.1415 | − | 43.7919i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −248.918 | − | 287.267i | −0.335224 | − | 0.386869i | ||||
\(83\) | −427.252 | + | 125.453i | −0.565024 | + | 0.165906i | −0.551756 | − | 0.834006i | \(-0.686042\pi\) |
−0.0132687 | + | 0.999912i | \(0.504224\pi\) | |||||||
\(84\) | 129.618 | − | 901.515i | 0.168363 | − | 1.17099i | ||||
\(85\) | 457.665 | − | 528.173i | 0.584008 | − | 0.673981i | ||||
\(86\) | 388.564 | − | 850.836i | 0.487208 | − | 1.06684i | ||||
\(87\) | 696.079 | + | 204.387i | 0.857787 | + | 0.251869i | ||||
\(88\) | 11.9372 | + | 26.1388i | 0.0144603 | + | 0.0316637i | ||||
\(89\) | −70.7451 | − | 492.043i | −0.0842581 | − | 0.586028i | −0.987586 | − | 0.157078i | \(-0.949793\pi\) |
0.903328 | − | 0.428950i | \(-0.141116\pi\) | |||||||
\(90\) | 511.330 | + | 328.612i | 0.598877 | + | 0.384875i | ||||
\(91\) | −1103.16 | −1.27080 | ||||||||
\(92\) | 883.154 | − | 241.074i | 1.00082 | − | 0.273193i | ||||
\(93\) | −433.368 | −0.483206 | ||||||||
\(94\) | −1452.58 | − | 933.520i | −1.59386 | − | 1.02431i | ||||
\(95\) | 31.6564 | + | 220.175i | 0.0341882 | + | 0.237784i | ||||
\(96\) | 321.559 | + | 704.117i | 0.341865 | + | 0.748579i | ||||
\(97\) | 320.035 | + | 93.9708i | 0.334996 | + | 0.0983638i | 0.444905 | − | 0.895578i | \(-0.353238\pi\) |
−0.109908 | + | 0.993942i | \(0.535056\pi\) | |||||||
\(98\) | −1668.92 | + | 3654.43i | −1.72027 | + | 3.76687i | ||||
\(99\) | 140.077 | − | 161.658i | 0.142205 | − | 0.164114i | ||||
\(100\) | −182.873 | + | 1271.91i | −0.182873 | + | 1.27191i | ||||
\(101\) | −188.113 | + | 55.2348i | −0.185326 | + | 0.0544165i | −0.373079 | − | 0.927800i | \(-0.621698\pi\) |
0.187753 | + | 0.982216i | \(0.439880\pi\) | |||||||
\(102\) | 331.367 | + | 382.418i | 0.321669 | + | 0.371226i | ||||
\(103\) | −1350.19 | + | 867.714i | −1.29163 | + | 0.830081i | −0.992275 | − | 0.124060i | \(-0.960409\pi\) |
−0.299357 | + | 0.954141i | \(0.596772\pi\) | |||||||
\(104\) | −30.6735 | + | 19.7127i | −0.0289210 | + | 0.0185864i | ||||
\(105\) | −1202.15 | − | 1387.36i | −1.11732 | − | 1.28945i | ||||
\(106\) | 1523.71 | − | 447.402i | 1.39619 | − | 0.409957i | ||||
\(107\) | 41.8269 | − | 290.912i | 0.0377903 | − | 0.262837i | −0.962163 | − | 0.272473i | \(-0.912158\pi\) |
0.999954 | + | 0.00963637i | \(0.00306740\pi\) | |||||||
\(108\) | −146.745 | + | 169.353i | −0.130746 | + | 0.150889i | ||||
\(109\) | 36.7096 | − | 80.3828i | 0.0322582 | − | 0.0706355i | −0.892817 | − | 0.450420i | \(-0.851274\pi\) |
0.925075 | + | 0.379784i | \(0.124002\pi\) | |||||||
\(110\) | 1540.11 | + | 452.216i | 1.33494 | + | 0.391974i | ||||
\(111\) | 102.824 | + | 225.152i | 0.0879242 | + | 0.192527i | ||||
\(112\) | −320.238 | − | 2227.30i | −0.270175 | − | 1.87911i | ||||
\(113\) | −8.36721 | − | 5.37728i | −0.00696567 | − | 0.00447657i | 0.537153 | − | 0.843485i | \(-0.319500\pi\) |
−0.544119 | + | 0.839008i | \(0.683136\pi\) | |||||||
\(114\) | −161.055 | −0.132318 | ||||||||
\(115\) | 798.465 | − | 1663.47i | 0.647454 | − | 1.34886i | ||||
\(116\) | −2006.99 | −1.60642 | ||||||||
\(117\) | 228.330 | + | 146.739i | 0.180420 | + | 0.115949i | ||||
\(118\) | 356.823 | + | 2481.76i | 0.278374 | + | 1.93614i | ||||
\(119\) | −634.862 | − | 1390.15i | −0.489057 | − | 1.07088i | ||||
\(120\) | −58.2171 | − | 17.0941i | −0.0442873 | − | 0.0130039i | ||||
\(121\) | −318.259 | + | 696.890i | −0.239113 | + | 0.523584i | ||||
\(122\) | 553.263 | − | 638.500i | 0.410575 | − | 0.473829i | ||||
\(123\) | 40.1968 | − | 279.575i | 0.0294669 | − | 0.204947i | ||||
\(124\) | 1150.34 | − | 337.772i | 0.833096 | − | 0.244619i | ||||
\(125\) | 326.749 | + | 377.089i | 0.233803 | + | 0.269823i | ||||
\(126\) | 1118.15 | − | 718.592i | 0.790578 | − | 0.508074i | ||||
\(127\) | 87.0967 | − | 55.9736i | 0.0608550 | − | 0.0391091i | −0.509860 | − | 0.860258i | \(-0.670303\pi\) |
0.570715 | + | 0.821149i | \(0.306666\pi\) | |||||||
\(128\) | −101.274 | − | 116.876i | −0.0699330 | − | 0.0807070i | ||||
\(129\) | 666.893 | − | 195.817i | 0.455168 | − | 0.133649i | ||||
\(130\) | −289.852 | + | 2015.96i | −0.195551 | + | 1.36009i | ||||
\(131\) | −489.949 | + | 565.432i | −0.326772 | + | 0.377114i | −0.895235 | − | 0.445594i | \(-0.852993\pi\) |
0.568464 | + | 0.822708i | \(0.307538\pi\) | |||||||
\(132\) | −245.828 | + | 538.288i | −0.162095 | + | 0.354939i | ||||
\(133\) | 466.716 | + | 137.040i | 0.304281 | + | 0.0893451i | ||||
\(134\) | −1262.42 | − | 2764.31i | −0.813852 | − | 1.78209i | ||||
\(135\) | 64.2776 | + | 447.060i | 0.0409787 | + | 0.285013i | ||||
\(136\) | −42.4935 | − | 27.3089i | −0.0267925 | − | 0.0172185i | ||||
\(137\) | 1715.58 | 1.06987 | 0.534935 | − | 0.844893i | \(-0.320336\pi\) | ||||
0.534935 | + | 0.844893i | \(0.320336\pi\) | |||||||
\(138\) | 1109.88 | + | 743.642i | 0.684633 | + | 0.458718i | ||||
\(139\) | 643.419 | 0.392619 | 0.196310 | − | 0.980542i | \(-0.437104\pi\) | ||||
0.196310 | + | 0.980542i | \(0.437104\pi\) | |||||||
\(140\) | 4272.35 | + | 2745.68i | 2.57914 | + | 1.65751i | ||||
\(141\) | −182.599 | − | 1270.01i | −0.109061 | − | 0.758538i | ||||
\(142\) | −1109.86 | − | 2430.25i | −0.655895 | − | 1.43621i | ||||
\(143\) | 687.721 | + | 201.933i | 0.402169 | + | 0.118087i | ||||
\(144\) | −229.987 | + | 503.600i | −0.133094 | + | 0.291435i | ||||
\(145\) | −2649.05 | + | 3057.16i | −1.51718 | + | 1.75092i | ||||
\(146\) | 425.880 | − | 2962.06i | 0.241411 | − | 1.67905i | ||||
\(147\) | −2864.38 | + | 841.057i | −1.60714 | + | 0.471900i | ||||
\(148\) | −448.424 | − | 517.509i | −0.249056 | − | 0.287425i | ||||
\(149\) | −1341.73 | + | 862.278i | −0.737711 | + | 0.474098i | −0.854757 | − | 0.519029i | \(-0.826294\pi\) |
0.117046 | + | 0.993126i | \(0.462657\pi\) | |||||||
\(150\) | −1577.55 | + | 1013.83i | −0.858710 | + | 0.551860i | ||||
\(151\) | 173.498 | + | 200.227i | 0.0935036 | + | 0.107909i | 0.800573 | − | 0.599235i | \(-0.204529\pi\) |
−0.707069 | + | 0.707144i | \(0.749983\pi\) | |||||||
\(152\) | 15.4259 | − | 4.52946i | 0.00823162 | − | 0.00241702i | ||||
\(153\) | −53.5113 | + | 372.179i | −0.0282754 | + | 0.196660i | ||||
\(154\) | 2298.57 | − | 2652.69i | 1.20275 | − | 1.38805i | ||||
\(155\) | 1003.84 | − | 2198.10i | 0.520194 | − | 1.13907i | ||||
\(156\) | −720.456 | − | 211.545i | −0.369760 | − | 0.108571i | ||||
\(157\) | −1065.34 | − | 2332.77i | −0.541550 | − | 1.18583i | −0.960618 | − | 0.277873i | \(-0.910370\pi\) |
0.419068 | − | 0.907955i | \(-0.362357\pi\) | |||||||
\(158\) | −737.842 | − | 5131.80i | −0.371516 | − | 2.58395i | ||||
\(159\) | 992.709 | + | 637.975i | 0.495138 | + | 0.318206i | ||||
\(160\) | −4316.22 | −2.13267 | ||||||||
\(161\) | −2583.53 | − | 3099.36i | −1.26466 | − | 1.51717i | ||||
\(162\) | −327.018 | −0.158599 | ||||||||
\(163\) | 2413.35 | + | 1550.97i | 1.15968 | + | 0.745283i | 0.971544 | − | 0.236859i | \(-0.0761180\pi\) |
0.188139 | + | 0.982142i | \(0.439754\pi\) | |||||||
\(164\) | 111.204 | + | 773.442i | 0.0529487 | + | 0.368266i | ||||
\(165\) | 495.480 | + | 1084.95i | 0.233776 | + | 0.511898i | ||||
\(166\) | 1724.93 | + | 506.485i | 0.806508 | + | 0.236812i | ||||
\(167\) | −153.863 | + | 336.913i | −0.0712950 | + | 0.156114i | −0.941924 | − | 0.335826i | \(-0.890985\pi\) |
0.870629 | + | 0.491940i | \(0.163712\pi\) | |||||||
\(168\) | −86.8875 | + | 100.274i | −0.0399019 | + | 0.0460492i | ||||
\(169\) | 183.235 | − | 1274.43i | 0.0834023 | − | 0.580076i | ||||
\(170\) | −2707.24 | + | 794.918i | −1.22139 | + | 0.358632i | ||||
\(171\) | −78.3715 | − | 90.4455i | −0.0350481 | − | 0.0404476i | ||||
\(172\) | −1617.60 | + | 1039.57i | −0.717097 | + | 0.460850i | ||||
\(173\) | −2234.04 | + | 1435.73i | −0.981796 | + | 0.630962i | −0.929947 | − | 0.367693i | \(-0.880148\pi\) |
−0.0518485 | + | 0.998655i | \(0.516511\pi\) | |||||||
\(174\) | −1918.02 | − | 2213.51i | −0.835658 | − | 0.964401i | ||||
\(175\) | 5434.19 | − | 1595.62i | 2.34735 | − | 0.689244i | ||||
\(176\) | −208.068 | + | 1447.14i | −0.0891119 | + | 0.619787i | ||||
\(177\) | −1220.07 | + | 1408.04i | −0.518114 | + | 0.597936i | ||||
\(178\) | −833.711 | + | 1825.57i | −0.351063 | + | 0.768721i | ||||
\(179\) | −745.547 | − | 218.912i | −0.311312 | − | 0.0914094i | 0.122345 | − | 0.992488i | \(-0.460959\pi\) |
−0.433656 | + | 0.901078i | \(0.642777\pi\) | |||||||
\(180\) | −519.064 | − | 1136.59i | −0.214937 | − | 0.470647i | ||||
\(181\) | 300.567 | + | 2090.49i | 0.123431 | + | 0.858480i | 0.953623 | + | 0.301003i | \(0.0973215\pi\) |
−0.830192 | + | 0.557477i | \(0.811769\pi\) | |||||||
\(182\) | 3746.73 | + | 2407.88i | 1.52597 | + | 0.980679i | ||||
\(183\) | 627.795 | 0.253595 | ||||||||
\(184\) | −127.219 | − | 40.0124i | −0.0509711 | − | 0.0160313i | ||||
\(185\) | −1380.18 | −0.548501 | ||||||||
\(186\) | 1471.87 | + | 945.916i | 0.580231 | + | 0.372892i | ||||
\(187\) | 141.312 | + | 982.849i | 0.0552609 | + | 0.384348i | ||||
\(188\) | 1474.55 | + | 3228.82i | 0.572036 | + | 1.25259i | ||||
\(189\) | 947.655 | + | 278.257i | 0.364718 | + | 0.107091i | ||||
\(190\) | 373.062 | − | 816.892i | 0.142446 | − | 0.311913i | ||||
\(191\) | −2601.77 | + | 3002.60i | −0.985641 | + | 1.13749i | 0.00486067 | + | 0.999988i | \(0.498453\pi\) |
−0.990501 | + | 0.137502i | \(0.956093\pi\) | |||||||
\(192\) | 234.644 | − | 1631.98i | 0.0881976 | − | 0.613428i | ||||
\(193\) | 1662.98 | − | 488.295i | 0.620227 | − | 0.182115i | 0.0435019 | − | 0.999053i | \(-0.486149\pi\) |
0.576725 | + | 0.816938i | \(0.304330\pi\) | |||||||
\(194\) | −881.844 | − | 1017.70i | −0.326354 | − | 0.376633i | ||||
\(195\) | −1273.17 | + | 818.218i | −0.467558 | + | 0.300481i | ||||
\(196\) | 6947.76 | − | 4465.05i | 2.53198 | − | 1.62721i | ||||
\(197\) | −1071.72 | − | 1236.83i | −0.387599 | − | 0.447313i | 0.528098 | − | 0.849184i | \(-0.322906\pi\) |
−0.915696 | + | 0.401871i | \(0.868360\pi\) | |||||||
\(198\) | −828.606 | + | 243.301i | −0.297406 | + | 0.0873264i | ||||
\(199\) | 27.3384 | − | 190.143i | 0.00973852 | − | 0.0677329i | −0.984373 | − | 0.176098i | \(-0.943652\pi\) |
0.994111 | + | 0.108365i | \(0.0345615\pi\) | |||||||
\(200\) | 122.586 | − | 141.472i | 0.0433406 | − | 0.0500177i | ||||
\(201\) | 938.074 | − | 2054.10i | 0.329187 | − | 0.720819i | ||||
\(202\) | 759.459 | + | 222.997i | 0.264532 | + | 0.0776735i | ||||
\(203\) | 3674.70 | + | 8046.47i | 1.27051 | + | 2.78203i | ||||
\(204\) | −148.039 | − | 1029.63i | −0.0508077 | − | 0.353375i | ||||
\(205\) | 1324.93 | + | 851.481i | 0.451400 | + | 0.290097i | ||||
\(206\) | 6479.69 | 2.19156 | ||||||||
\(207\) | 122.467 | + | 985.154i | 0.0411210 | + | 0.330787i | ||||
\(208\) | −1855.12 | −0.618410 | ||||||||
\(209\) | −265.871 | − | 170.865i | −0.0879936 | − | 0.0565500i | ||||
\(210\) | 1054.75 | + | 7335.92i | 0.346592 | + | 2.41060i | ||||
\(211\) | −243.504 | − | 533.199i | −0.0794479 | − | 0.173967i | 0.865740 | − | 0.500495i | \(-0.166849\pi\) |
−0.945188 | + | 0.326528i | \(0.894121\pi\) | |||||||
\(212\) | −3132.32 | − | 919.732i | −1.01476 | − | 0.297960i | ||||
\(213\) | 824.710 | − | 1805.86i | 0.265297 | − | 0.580919i | ||||
\(214\) | −777.036 | + | 896.747i | −0.248211 | + | 0.286450i | ||||
\(215\) | −551.555 | + | 3836.15i | −0.174957 | + | 1.21685i | ||||
\(216\) | 31.3219 | − | 9.19694i | 0.00986660 | − | 0.00289709i | ||||
\(217\) | −3460.42 | − | 3993.54i | −1.08253 | − | 1.24930i | ||||
\(218\) | −300.131 | + | 192.883i | −0.0932451 | + | 0.0599250i | ||||
\(219\) | 1870.67 | − | 1202.21i | 0.577207 | − | 0.370949i | ||||
\(220\) | −2160.84 | − | 2493.74i | −0.662198 | − | 0.764217i | ||||
\(221\) | −1208.89 | + | 354.964i | −0.367960 | + | 0.108043i | ||||
\(222\) | 142.216 | − | 989.132i | 0.0429950 | − | 0.299037i | ||||
\(223\) | 3289.41 | − | 3796.19i | 0.987782 | − | 1.13996i | −0.00237411 | − | 0.999997i | \(-0.500756\pi\) |
0.990157 | − | 0.139964i | \(-0.0446988\pi\) | |||||||
\(224\) | −3920.89 | + | 8585.55i | −1.16953 | + | 2.56092i | ||||
\(225\) | −1337.01 | − | 392.580i | −0.396150 | − | 0.116320i | ||||
\(226\) | 16.6810 | + | 36.5263i | 0.00490976 | + | 0.0107509i | ||||
\(227\) | −528.837 | − | 3678.14i | −0.154626 | − | 1.07545i | −0.908336 | − | 0.418241i | \(-0.862647\pi\) |
0.753710 | − | 0.657207i | \(-0.228262\pi\) | |||||||
\(228\) | 278.526 | + | 178.998i | 0.0809027 | + | 0.0519930i | ||||
\(229\) | −1874.32 | −0.540868 | −0.270434 | − | 0.962739i | \(-0.587167\pi\) | ||||
−0.270434 | + | 0.962739i | \(0.587167\pi\) | |||||||
\(230\) | −6342.73 | + | 3906.91i | −1.81838 | + | 1.12006i | ||||
\(231\) | 2608.21 | 0.742890 | ||||||||
\(232\) | 245.960 | + | 158.069i | 0.0696038 | + | 0.0447316i | ||||
\(233\) | 506.487 | + | 3522.69i | 0.142408 | + | 0.990469i | 0.928227 | + | 0.372013i | \(0.121332\pi\) |
−0.785820 | + | 0.618456i | \(0.787759\pi\) | |||||||
\(234\) | −455.203 | − | 996.756i | −0.127169 | − | 0.278461i | ||||
\(235\) | 6864.60 | + | 2015.63i | 1.90552 | + | 0.559511i | ||||
\(236\) | 2141.15 | − | 4688.47i | 0.590582 | − | 1.29319i | ||||
\(237\) | 2522.88 | − | 2911.56i | 0.691471 | − | 0.798000i | ||||
\(238\) | −878.081 | + | 6107.19i | −0.239149 | + | 1.66332i | ||||
\(239\) | 2645.76 | − | 776.865i | 0.716067 | − | 0.210256i | 0.0966499 | − | 0.995318i | \(-0.469187\pi\) |
0.619417 | + | 0.785062i | \(0.287369\pi\) | |||||||
\(240\) | −2021.59 | − | 2333.04i | −0.543722 | − | 0.627488i | ||||
\(241\) | −5600.17 | + | 3599.01i | −1.49684 | + | 0.961961i | −0.501539 | + | 0.865135i | \(0.667233\pi\) |
−0.995301 | + | 0.0968263i | \(0.969131\pi\) | |||||||
\(242\) | 2602.03 | − | 1672.22i | 0.691177 | − | 0.444192i | ||||
\(243\) | −159.131 | − | 183.647i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | −1666.44 | + | 489.310i | −0.437224 | + | 0.128380i | ||||
\(245\) | 2368.99 | − | 16476.7i | 0.617751 | − | 4.29656i | ||||
\(246\) | −746.754 | + | 861.800i | −0.193542 | + | 0.223359i | ||||
\(247\) | 166.588 | − | 364.776i | 0.0429138 | − | 0.0939682i | ||||
\(248\) | −167.579 | − | 49.2057i | −0.0429084 | − | 0.0125990i | ||||
\(249\) | 554.940 | + | 1215.15i | 0.141236 | + | 0.309265i | ||||
\(250\) | −286.683 | − | 1993.93i | −0.0725258 | − | 0.504428i | ||||
\(251\) | −41.7565 | − | 26.8353i | −0.0105006 | − | 0.00674832i | 0.535380 | − | 0.844611i | \(-0.320168\pi\) |
−0.545881 | + | 0.837863i | \(0.683805\pi\) | |||||||
\(252\) | −2732.36 | −0.683025 | ||||||||
\(253\) | 1043.26 | + | 2405.09i | 0.259246 | + | 0.597655i | ||||
\(254\) | −417.986 | −0.103255 | ||||||||
\(255\) | −1763.79 | − | 1133.52i | −0.433148 | − | 0.278367i | ||||
\(256\) | −536.861 | − | 3733.95i | −0.131069 | − | 0.911608i | ||||
\(257\) | −976.900 | − | 2139.11i | −0.237110 | − | 0.519199i | 0.753247 | − | 0.657738i | \(-0.228487\pi\) |
−0.990357 | + | 0.138539i | \(0.955759\pi\) | |||||||
\(258\) | −2692.42 | − | 790.566i | −0.649701 | − | 0.190769i | ||||
\(259\) | −1253.76 | + | 2745.36i | −0.300792 | + | 0.658643i | ||||
\(260\) | 2741.82 | − | 3164.23i | 0.654001 | − | 0.754758i | ||||
\(261\) | 309.733 | − | 2154.24i | 0.0734560 | − | 0.510898i | ||||
\(262\) | 2898.22 | − | 850.993i | 0.683406 | − | 0.200666i | ||||
\(263\) | −2227.47 | − | 2570.63i | −0.522249 | − | 0.602707i | 0.431944 | − | 0.901901i | \(-0.357828\pi\) |
−0.954192 | + | 0.299193i | \(0.903282\pi\) | |||||||
\(264\) | 72.5216 | − | 46.6068i | 0.0169068 | − | 0.0108653i | ||||
\(265\) | −5535.36 | + | 3557.36i | −1.28315 | + | 0.824630i | ||||
\(266\) | −1286.02 | − | 1484.14i | −0.296432 | − | 0.342100i | ||||
\(267\) | −1430.90 | + | 420.150i | −0.327976 | + | 0.0963025i | ||||
\(268\) | −889.066 | + | 6183.59i | −0.202643 | + | 1.40941i | ||||
\(269\) | −469.659 | + | 542.016i | −0.106452 | + | 0.122852i | −0.806475 | − | 0.591268i | \(-0.798628\pi\) |
0.700023 | + | 0.714120i | \(0.253173\pi\) | |||||||
\(270\) | 757.492 | − | 1658.68i | 0.170739 | − | 0.373866i | ||||
\(271\) | −6878.57 | − | 2019.73i | −1.54186 | − | 0.452730i | −0.603203 | − | 0.797588i | \(-0.706109\pi\) |
−0.938655 | + | 0.344857i | \(0.887927\pi\) | |||||||
\(272\) | −1067.61 | − | 2337.74i | −0.237990 | − | 0.521126i | ||||
\(273\) | 470.988 | + | 3275.79i | 0.104416 | + | 0.726227i | ||||
\(274\) | −5826.74 | − | 3744.62i | −1.28469 | − | 0.825623i | ||||
\(275\) | −3679.81 | −0.806913 | ||||||||
\(276\) | −1092.92 | − | 2519.57i | −0.238355 | − | 0.549494i | ||||
\(277\) | 2156.59 | 0.467787 | 0.233893 | − | 0.972262i | \(-0.424853\pi\) | ||||
0.233893 | + | 0.972262i | \(0.424853\pi\) | |||||||
\(278\) | −2185.28 | − | 1404.40i | −0.471455 | − | 0.302986i | ||||
\(279\) | 185.024 | + | 1286.87i | 0.0397029 | + | 0.276140i | ||||
\(280\) | −307.337 | − | 672.974i | −0.0655960 | − | 0.143635i | ||||
\(281\) | 2964.32 | + | 870.401i | 0.629310 | + | 0.184782i | 0.580808 | − | 0.814041i | \(-0.302737\pi\) |
0.0485028 | + | 0.998823i | \(0.484555\pi\) | |||||||
\(282\) | −2151.88 | + | 4711.96i | −0.454406 | + | 0.995011i | ||||
\(283\) | 5560.95 | − | 6417.68i | 1.16807 | − | 1.34803i | 0.242182 | − | 0.970231i | \(-0.422137\pi\) |
0.925889 | − | 0.377795i | \(-0.123318\pi\) | |||||||
\(284\) | −781.625 | + | 5436.32i | −0.163313 | + | 1.13587i | ||||
\(285\) | 640.288 | − | 188.005i | 0.133078 | − | 0.0390754i | ||||
\(286\) | −1894.99 | − | 2186.93i | −0.391794 | − | 0.452154i | ||||
\(287\) | 2897.29 | − | 1861.98i | 0.595894 | − | 0.382958i | ||||
\(288\) | 1953.56 | − | 1255.48i | 0.399704 | − | 0.256874i | ||||
\(289\) | 2074.31 | + | 2393.88i | 0.422208 | + | 0.487254i | ||||
\(290\) | 15670.0 | − | 4601.13i | 3.17302 | − | 0.931682i | ||||
\(291\) | 142.406 | − | 990.453i | 0.0286872 | − | 0.199524i | ||||
\(292\) | −4028.56 | + | 4649.20i | −0.807375 | + | 0.931760i | ||||
\(293\) | −1089.46 | + | 2385.59i | −0.217225 | + | 0.475657i | −0.986603 | − | 0.163137i | \(-0.947839\pi\) |
0.769378 | + | 0.638793i | \(0.220566\pi\) | |||||||
\(294\) | 11564.2 | + | 3395.57i | 2.29401 | + | 0.673583i | ||||
\(295\) | −4315.62 | − | 9449.88i | −0.851745 | − | 1.86506i | ||||
\(296\) | 14.1965 | + | 98.7390i | 0.00278769 | + | 0.0193888i | ||||
\(297\) | −539.843 | − | 346.936i | −0.105471 | − | 0.0677821i | ||||
\(298\) | 6439.10 | 1.25170 | ||||||||
\(299\) | −2832.29 | + | 1744.60i | −0.547812 | + | 0.337434i | ||||
\(300\) | 3854.97 | 0.741888 | ||||||||
\(301\) | 7129.59 | + | 4581.91i | 1.36526 | + | 0.877398i | ||||
\(302\) | −152.223 | − | 1058.74i | −0.0290049 | − | 0.201733i | ||||
\(303\) | 244.331 | + | 535.011i | 0.0463250 | + | 0.101438i | ||||
\(304\) | 784.849 | + | 230.453i | 0.148073 | + | 0.0434782i | ||||
\(305\) | −1454.20 | + | 3184.25i | −0.273007 | + | 0.597802i | ||||
\(306\) | 994.102 | − | 1147.26i | 0.185716 | − | 0.214328i | ||||
\(307\) | −73.3037 | + | 509.838i | −0.0136276 | + | 0.0947818i | −0.995500 | − | 0.0947607i | \(-0.969791\pi\) |
0.981873 | + | 0.189543i | \(0.0607005\pi\) | |||||||
\(308\) | −6923.31 | + | 2032.87i | −1.28082 | + | 0.376082i | ||||
\(309\) | 3153.10 | + | 3638.87i | 0.580497 | + | 0.669929i | ||||
\(310\) | −8207.19 | + | 5274.44i | −1.50367 | + | 0.966349i | ||||
\(311\) | 7788.26 | − | 5005.21i | 1.42004 | − | 0.912603i | 0.420051 | − | 0.907501i | \(-0.362012\pi\) |
0.999987 | − | 0.00510206i | \(-0.00162404\pi\) | |||||||
\(312\) | 71.6319 | + | 82.6676i | 0.0129979 | + | 0.0150004i | ||||
\(313\) | 72.3725 | − | 21.2505i | 0.0130694 | − | 0.00383753i | −0.275191 | − | 0.961389i | \(-0.588741\pi\) |
0.288261 | + | 0.957552i | \(0.406923\pi\) | |||||||
\(314\) | −1473.47 | + | 10248.2i | −0.264818 | + | 1.84185i | ||||
\(315\) | −3606.46 | + | 4162.08i | −0.645083 | + | 0.744465i | ||||
\(316\) | −4427.50 | + | 9694.88i | −0.788185 | + | 1.72589i | ||||
\(317\) | 5529.87 | + | 1623.72i | 0.979774 | + | 0.287688i | 0.732131 | − | 0.681164i | \(-0.238526\pi\) |
0.247643 | + | 0.968851i | \(0.420344\pi\) | |||||||
\(318\) | −1979.08 | − | 4333.59i | −0.348998 | − | 0.764200i | ||||
\(319\) | −817.942 | − | 5688.91i | −0.143561 | − | 0.998489i | ||||
\(320\) | 7734.10 | + | 4970.40i | 1.35109 | + | 0.868293i | ||||
\(321\) | −881.712 | −0.153310 | ||||||||
\(322\) | 2009.59 | + | 16165.6i | 0.347796 | + | 2.79775i | ||||
\(323\) | 555.545 | 0.0957008 | ||||||||
\(324\) | 565.539 | + | 363.450i | 0.0969717 | + | 0.0623199i | ||||
\(325\) | −664.497 | − | 4621.68i | −0.113414 | − | 0.788814i | ||||
\(326\) | −4811.31 | − | 10535.3i | −0.817404 | − | 1.78986i | ||||
\(327\) | −254.367 | − | 74.6888i | −0.0430169 | − | 0.0126309i | ||||
\(328\) | 47.2874 | − | 103.545i | 0.00796039 | − | 0.0174308i | ||||
\(329\) | 10245.2 | − | 11823.6i | 1.71683 | − | 1.98133i | ||||
\(330\) | 685.300 | − | 4766.36i | 0.114317 | − | 0.795090i | ||||
\(331\) | −7857.46 | + | 2307.16i | −1.30479 | + | 0.383120i | −0.858980 | − | 0.512008i | \(-0.828902\pi\) |
−0.445808 | + | 0.895129i | \(0.647083\pi\) | |||||||
\(332\) | −2420.15 | − | 2793.00i | −0.400069 | − | 0.461704i | ||||
\(333\) | 624.682 | − | 401.459i | 0.102800 | − | 0.0660654i | ||||
\(334\) | 1257.96 | − | 808.439i | 0.206085 | − | 0.132442i | ||||
\(335\) | 8245.71 | + | 9516.05i | 1.34481 | + | 1.55199i | ||||
\(336\) | −6477.17 | + | 1901.87i | −1.05166 | + | 0.308796i | ||||
\(337\) | −1093.30 | + | 7604.09i | −0.176724 | + | 1.22914i | 0.687556 | + | 0.726131i | \(0.258684\pi\) |
−0.864280 | + | 0.503011i | \(0.832225\pi\) | |||||||
\(338\) | −3404.03 | + | 3928.46i | −0.547796 | + | 0.632190i | ||||
\(339\) | −12.3953 | + | 27.1419i | −0.00198590 | + | 0.00434852i | ||||
\(340\) | 5565.33 | + | 1634.13i | 0.887712 | + | 0.260656i | ||||
\(341\) | 1426.25 | + | 3123.04i | 0.226497 | + | 0.495960i | ||||
\(342\) | 68.7616 | + | 478.248i | 0.0108719 | + | 0.0756160i | ||||
\(343\) | −20067.2 | − | 12896.4i | −3.15897 | − | 2.03015i | ||||
\(344\) | 280.115 | 0.0439034 | ||||||||
\(345\) | −5280.50 | − | 1660.80i | −0.824037 | − | 0.259173i | ||||
\(346\) | 10721.4 | 1.66585 | ||||||||
\(347\) | −7401.22 | − | 4756.47i | −1.14501 | − | 0.735853i | −0.176370 | − | 0.984324i | \(-0.556435\pi\) |
−0.968639 | + | 0.248471i | \(0.920072\pi\) | |||||||
\(348\) | 856.875 | + | 5959.69i | 0.131992 | + | 0.918026i | ||||
\(349\) | −1281.16 | − | 2805.34i | −0.196501 | − | 0.430277i | 0.785574 | − | 0.618767i | \(-0.212368\pi\) |
−0.982075 | + | 0.188491i | \(0.939640\pi\) | |||||||
\(350\) | −21939.3 | − | 6441.95i | −3.35058 | − | 0.983819i | ||||
\(351\) | 338.252 | − | 740.668i | 0.0514374 | − | 0.112632i | ||||
\(352\) | 4015.91 | − | 4634.60i | 0.608092 | − | 0.701776i | ||||
\(353\) | −422.628 | + | 2939.44i | −0.0637230 | + | 0.443203i | 0.932835 | + | 0.360304i | \(0.117327\pi\) |
−0.996558 | + | 0.0828991i | \(0.973582\pi\) | |||||||
\(354\) | 7217.14 | − | 2119.14i | 1.08358 | − | 0.318167i | ||||
\(355\) | 7249.23 | + | 8366.06i | 1.08380 | + | 1.25077i | ||||
\(356\) | 3470.75 | − | 2230.52i | 0.516712 | − | 0.332071i | ||||
\(357\) | −3856.96 | + | 2478.72i | −0.571799 | + | 0.367473i | ||||
\(358\) | 2054.32 | + | 2370.82i | 0.303281 | + | 0.350004i | ||||
\(359\) | −5030.16 | + | 1476.99i | −0.739503 | + | 0.217138i | −0.629725 | − | 0.776819i | \(-0.716832\pi\) |
−0.109778 | + | 0.993956i | \(0.535014\pi\) | |||||||
\(360\) | −25.9048 | + | 180.172i | −0.00379251 | + | 0.0263775i | ||||
\(361\) | 4375.90 | − | 5050.05i | 0.637979 | − | 0.736267i | ||||
\(362\) | 3542.10 | − | 7756.11i | 0.514277 | − | 1.12611i | ||||
\(363\) | 2205.27 | + | 647.525i | 0.318861 | + | 0.0936261i | ||||
\(364\) | −3803.39 | − | 8328.26i | −0.547670 | − | 1.19923i | ||||
\(365\) | 1764.60 | + | 12273.0i | 0.253050 | + | 1.76000i | ||||
\(366\) | −2132.22 | − | 1370.29i | −0.304516 | − | 0.195700i | ||||
\(367\) | −575.972 | −0.0819223 | −0.0409611 | − | 0.999161i | \(-0.513042\pi\) | ||||
−0.0409611 | + | 0.999161i | \(0.513042\pi\) | |||||||
\(368\) | −4344.57 | − | 5212.02i | −0.615425 | − | 0.738302i | ||||
\(369\) | −847.350 | −0.119543 | ||||||||
\(370\) | 4687.58 | + | 3012.52i | 0.658637 | + | 0.423280i | ||||
\(371\) | 2047.71 | + | 14242.1i | 0.286555 | + | 1.99303i | ||||
\(372\) | −1494.13 | − | 3271.70i | −0.208245 | − | 0.455993i | ||||
\(373\) | −364.726 | − | 107.093i | −0.0506294 | − | 0.0148661i | 0.256320 | − | 0.966592i | \(-0.417490\pi\) |
−0.306949 | + | 0.951726i | \(0.599308\pi\) | |||||||
\(374\) | 1665.32 | − | 3646.55i | 0.230246 | − | 0.504168i | ||||
\(375\) | 980.248 | − | 1131.27i | 0.134986 | − | 0.155782i | ||||
\(376\) | 73.5903 | − | 511.832i | 0.0100934 | − | 0.0702013i | ||||
\(377\) | 6997.31 | − | 2054.60i | 0.955914 | − | 0.280682i | ||||
\(378\) | −2611.22 | − | 3013.51i | −0.355309 | − | 0.410049i | ||||
\(379\) | 3382.33 | − | 2173.69i | 0.458413 | − | 0.294604i | −0.290981 | − | 0.956729i | \(-0.593982\pi\) |
0.749393 | + | 0.662125i | \(0.230345\pi\) | |||||||
\(380\) | −1553.06 | + | 998.094i | −0.209659 | + | 0.134740i | ||||
\(381\) | −203.397 | − | 234.733i | −0.0273500 | − | 0.0315636i | ||||
\(382\) | 15390.3 | − | 4519.01i | 2.06136 | − | 0.605269i | ||||
\(383\) | 540.182 | − | 3757.05i | 0.0720679 | − | 0.501243i | −0.921533 | − | 0.388299i | \(-0.873063\pi\) |
0.993601 | − | 0.112944i | \(-0.0360281\pi\) | |||||||
\(384\) | −303.821 | + | 350.629i | −0.0403758 | + | 0.0465962i | ||||
\(385\) | −6041.56 | + | 13229.2i | −0.799757 | + | 1.75122i | ||||
\(386\) | −6713.88 | − | 1971.37i | −0.885304 | − | 0.259949i | ||||
\(387\) | −866.199 | − | 1896.71i | −0.113776 | − | 0.249135i | ||||
\(388\) | 393.964 | + | 2740.08i | 0.0515476 | + | 0.358522i | ||||
\(389\) | 3026.75 | + | 1945.17i | 0.394505 | + | 0.253533i | 0.722821 | − | 0.691035i | \(-0.242845\pi\) |
−0.328317 | + | 0.944568i | \(0.606481\pi\) | |||||||
\(390\) | 6110.08 | 0.793323 | ||||||||
\(391\) | −3828.44 | − | 2565.13i | −0.495172 | − | 0.331775i | ||||
\(392\) | −1203.12 | −0.155018 | ||||||||
\(393\) | 1888.21 | + | 1213.48i | 0.242360 | + | 0.155756i | ||||
\(394\) | 940.307 | + | 6539.98i | 0.120233 | + | 0.836242i | ||||
\(395\) | 8923.88 | + | 19540.6i | 1.13673 | + | 2.48910i | ||||
\(396\) | 1703.38 | + | 500.158i | 0.216157 | + | 0.0634694i | ||||
\(397\) | −2848.89 | + | 6238.21i | −0.360156 | + | 0.788631i | 0.639645 | + | 0.768670i | \(0.279081\pi\) |
−0.999801 | + | 0.0199607i | \(0.993646\pi\) | |||||||
\(398\) | −507.877 | + | 586.121i | −0.0639637 | + | 0.0738180i | ||||
\(399\) | 207.674 | − | 1444.41i | 0.0260569 | − | 0.181230i | ||||
\(400\) | 9138.36 | − | 2683.27i | 1.14230 | − | 0.335408i | ||||
\(401\) | −3946.72 | − | 4554.75i | −0.491495 | − | 0.567216i | 0.454769 | − | 0.890609i | \(-0.349722\pi\) |
−0.946265 | + | 0.323393i | \(0.895176\pi\) | |||||||
\(402\) | −7669.53 | + | 4928.91i | −0.951545 | + | 0.611521i | ||||
\(403\) | −3664.85 | + | 2355.26i | −0.453001 | + | 0.291126i | ||||
\(404\) | −1065.55 | − | 1229.71i | −0.131221 | − | 0.151437i | ||||
\(405\) | 1300.09 | − | 381.740i | 0.159511 | − | 0.0468365i | ||||
\(406\) | 5082.49 | − | 35349.5i | 0.621281 | − | 4.32110i | ||||
\(407\) | 1284.15 | − | 1481.99i | 0.156395 | − | 0.180490i | ||||
\(408\) | −62.9505 | + | 137.842i | −0.00763851 | + | 0.0167260i | ||||
\(409\) | −5951.59 | − | 1747.54i | −0.719528 | − | 0.211272i | −0.0985855 | − | 0.995129i | \(-0.531432\pi\) |
−0.620943 | + | 0.783856i | \(0.713250\pi\) | |||||||
\(410\) | −2641.40 | − | 5783.87i | −0.318170 | − | 0.696695i | ||||
\(411\) | −732.459 | − | 5094.36i | −0.0879064 | − | 0.611403i | ||||
\(412\) | −11205.9 | − | 7201.57i | −1.33998 | − | 0.861155i | ||||
\(413\) | −22717.5 | −2.70667 | ||||||||
\(414\) | 1734.36 | − | 3613.25i | 0.205892 | − | 0.428941i | ||||
\(415\) | −7448.83 | −0.881081 | ||||||||
\(416\) | 6546.04 | + | 4206.88i | 0.771505 | + | 0.495816i | ||||
\(417\) | −274.704 | − | 1910.61i | −0.0322598 | − | 0.224372i | ||||
\(418\) | 530.045 | + | 1160.64i | 0.0620223 | + | 0.135810i | ||||
\(419\) | −2143.62 | − | 629.423i | −0.249935 | − | 0.0733875i | 0.154365 | − | 0.988014i | \(-0.450667\pi\) |
−0.404300 | + | 0.914626i | \(0.632485\pi\) | |||||||
\(420\) | 6329.13 | − | 13858.9i | 0.735309 | − | 1.61010i | ||||
\(421\) | −589.430 | + | 680.238i | −0.0682353 | + | 0.0787477i | −0.788841 | − | 0.614598i | \(-0.789318\pi\) |
0.720606 | + | 0.693345i | \(0.243864\pi\) | |||||||
\(422\) | −336.791 | + | 2342.43i | −0.0388501 | + | 0.270208i | ||||
\(423\) | −3693.28 | + | 1084.44i | −0.424523 | + | 0.124651i | ||||
\(424\) | 311.433 | + | 359.413i | 0.0356711 | + | 0.0411666i | ||||
\(425\) | 5441.62 | − | 3497.12i | 0.621077 | − | 0.399142i | ||||
\(426\) | −6742.68 | + | 4333.26i | −0.766864 | + | 0.492833i | ||||
\(427\) | 5012.91 | + | 5785.20i | 0.568130 | + | 0.655657i | ||||
\(428\) | 2340.44 | − | 687.215i | 0.264321 | − | 0.0776117i | ||||
\(429\) | 306.015 | − | 2128.38i | 0.0344395 | − | 0.239532i | ||||
\(430\) | 10246.5 | − | 11825.1i | 1.14914 | − | 1.32617i | ||||
\(431\) | 1175.48 | − | 2573.95i | 0.131371 | − | 0.287663i | −0.832503 | − | 0.554020i | \(-0.813093\pi\) |
0.963874 | + | 0.266358i | \(0.0858202\pi\) | |||||||
\(432\) | 1593.61 | + | 467.928i | 0.177483 | + | 0.0521138i | ||||
\(433\) | 2323.58 | + | 5087.94i | 0.257885 | + | 0.564690i | 0.993646 | − | 0.112552i | \(-0.0359024\pi\) |
−0.735761 | + | 0.677242i | \(0.763175\pi\) | |||||||
\(434\) | 3036.11 | + | 21116.6i | 0.335801 | + | 2.33555i | ||||
\(435\) | 10209.1 | + | 6561.01i | 1.12527 | + | 0.723164i | ||||
\(436\) | 733.412 | 0.0805597 | ||||||||
\(437\) | 1414.99 | − | 386.249i | 0.154893 | − | 0.0422810i | ||||
\(438\) | −8977.55 | −0.979370 | ||||||||
\(439\) | −679.792 | − | 436.876i | −0.0739059 | − | 0.0474964i | 0.503166 | − | 0.864190i | \(-0.332168\pi\) |
−0.577072 | + | 0.816693i | \(0.695805\pi\) | |||||||
\(440\) | 68.4093 | + | 475.797i | 0.00741201 | + | 0.0515517i | ||||
\(441\) | 3720.42 | + | 8146.59i | 0.401730 | + | 0.879666i | ||||
\(442\) | 4880.62 | + | 1433.08i | 0.525221 | + | 0.154219i | ||||
\(443\) | −1342.39 | + | 2939.42i | −0.143970 | + | 0.315251i | −0.967856 | − | 0.251505i | \(-0.919075\pi\) |
0.823886 | + | 0.566756i | \(0.191802\pi\) | |||||||
\(444\) | −1345.27 | + | 1552.53i | −0.143792 | + | 0.165945i | ||||
\(445\) | 1183.43 | − | 8230.92i | 0.126067 | − | 0.876816i | ||||
\(446\) | −19458.0 | + | 5713.38i | −2.06584 | + | 0.606584i | ||||
\(447\) | 3133.35 | + | 3616.08i | 0.331549 | + | 0.382628i | ||||
\(448\) | 16912.5 | − | 10869.0i | 1.78358 | − | 1.14623i | ||||
\(449\) | −5177.10 | + | 3327.12i | −0.544148 | + | 0.349703i | −0.783659 | − | 0.621191i | \(-0.786649\pi\) |
0.239511 | + | 0.970894i | \(0.423013\pi\) | |||||||
\(450\) | 3684.06 | + | 4251.63i | 0.385930 | + | 0.445387i | ||||
\(451\) | −2147.04 | + | 630.427i | −0.224168 | + | 0.0658218i | ||||
\(452\) | 11.7477 | − | 81.7073i | 0.00122249 | − | 0.00850263i | ||||
\(453\) | 520.493 | − | 600.681i | 0.0539843 | − | 0.0623012i | ||||
\(454\) | −6232.18 | + | 13646.6i | −0.644253 | + | 1.41072i | ||||
\(455\) | −17706.2 | − | 5199.01i | −1.82435 | − | 0.535678i | ||||
\(456\) | −20.0361 | − | 43.8729i | −0.00205762 | − | 0.00450556i | ||||
\(457\) | −678.969 | − | 4722.33i | −0.0694985 | − | 0.483373i | −0.994611 | − | 0.103679i | \(-0.966938\pi\) |
0.925112 | − | 0.379694i | \(-0.123971\pi\) | |||||||
\(458\) | 6365.88 | + | 4091.10i | 0.649471 | + | 0.417390i | ||||
\(459\) | 1128.02 | 0.114709 | ||||||||
\(460\) | 15311.2 | + | 292.808i | 1.55193 | + | 0.0296788i | ||||
\(461\) | −5992.19 | −0.605388 | −0.302694 | − | 0.953088i | \(-0.597886\pi\) | ||||
−0.302694 | + | 0.953088i | \(0.597886\pi\) | |||||||
\(462\) | −8858.42 | − | 5692.96i | −0.892059 | − | 0.573291i | ||||
\(463\) | −1658.28 | − | 11533.6i | −0.166451 | − | 1.15769i | −0.886148 | − | 0.463402i | \(-0.846629\pi\) |
0.719698 | − | 0.694288i | \(-0.244280\pi\) | |||||||
\(464\) | 6179.53 | + | 13531.3i | 0.618270 | + | 1.35382i | ||||
\(465\) | −6955.75 | − | 2042.39i | −0.693689 | − | 0.203685i | ||||
\(466\) | 5968.80 | − | 13069.8i | 0.593346 | − | 1.29925i | ||||
\(467\) | 12973.9 | − | 14972.7i | 1.28557 | − | 1.48363i | 0.498316 | − | 0.866996i | \(-0.333952\pi\) |
0.787253 | − | 0.616630i | \(-0.211503\pi\) | |||||||
\(468\) | −320.580 | + | 2229.69i | −0.0316642 | + | 0.220229i | ||||
\(469\) | 26419.2 | − | 7757.38i | 2.60112 | − | 0.763758i | ||||
\(470\) | −18915.1 | − | 21829.2i | −1.85636 | − | 2.14235i | ||||
\(471\) | −6472.23 | + | 4159.45i | −0.633173 | + | 0.406916i | ||||
\(472\) | −631.662 | + | 405.944i | −0.0615987 | + | 0.0395871i | ||||
\(473\) | −3605.94 | − | 4161.48i | −0.350532 | − | 0.404535i | ||||
\(474\) | −14923.7 | + | 4381.99i | −1.44613 | + | 0.424623i | ||||
\(475\) | −292.999 | + | 2037.85i | −0.0283025 | + | 0.196848i | ||||
\(476\) | 8306.09 | − | 9585.74i | 0.799809 | − | 0.923029i | ||||
\(477\) | 1470.61 | − | 3220.19i | 0.141163 | − | 0.309104i | ||||
\(478\) | −10681.6 | − | 3136.41i | −1.02210 | − | 0.300117i | ||||
\(479\) | 2389.89 | + | 5233.13i | 0.227968 | + | 0.499181i | 0.988704 | − | 0.149881i | \(-0.0478889\pi\) |
−0.760736 | + | 0.649062i | \(0.775162\pi\) | |||||||
\(480\) | 1842.78 | + | 12816.8i | 0.175232 | + | 1.21876i | ||||
\(481\) | 2093.20 | + | 1345.22i | 0.198423 | + | 0.127519i | ||||
\(482\) | 26875.8 | 2.53975 | ||||||||
\(483\) | −8100.42 | + | 8994.96i | −0.763110 | + | 0.847380i | ||||
\(484\) | −6358.42 | −0.597147 | ||||||||
\(485\) | 4693.84 | + | 3016.55i | 0.439456 | + | 0.282421i | ||||
\(486\) | 139.619 | + | 971.069i | 0.0130313 | + | 0.0906349i | ||||
\(487\) | −3598.79 | − | 7880.26i | −0.334860 | − | 0.733241i | 0.665048 | − | 0.746801i | \(-0.268411\pi\) |
−0.999908 | + | 0.0135593i | \(0.995684\pi\) | |||||||
\(488\) | 242.762 | + | 71.2813i | 0.0225191 | + | 0.00661220i | ||||
\(489\) | 3575.18 | − | 7828.54i | 0.330624 | − | 0.723965i | ||||
\(490\) | −44009.7 | + | 50789.9i | −4.05746 | + | 4.68256i | ||||
\(491\) | 943.862 | − | 6564.70i | 0.0867533 | − | 0.603383i | −0.899348 | − | 0.437235i | \(-0.855958\pi\) |
0.986101 | − | 0.166148i | \(-0.0531330\pi\) | |||||||
\(492\) | 2249.23 | − | 660.434i | 0.206104 | − | 0.0605176i | ||||
\(493\) | 6616.03 | + | 7635.30i | 0.604403 | + | 0.697519i | ||||
\(494\) | −1361.99 | + | 875.298i | −0.124046 | + | 0.0797197i | ||||
\(495\) | 3010.17 | − | 1934.52i | 0.273328 | − | 0.175657i | ||||
\(496\) | −5819.19 | − | 6715.70i | −0.526793 | − | 0.607951i | ||||
\(497\) | 23226.5 | − | 6819.92i | 2.09628 | − | 0.615524i | ||||
\(498\) | 767.539 | − | 5338.35i | 0.0690648 | − | 0.480356i | ||||
\(499\) | −13779.4 | + | 15902.2i | −1.23617 | + | 1.42662i | −0.368386 | + | 0.929673i | \(0.620090\pi\) |
−0.867783 | + | 0.496943i | \(0.834456\pi\) | |||||||
\(500\) | −1720.28 | + | 3766.88i | −0.153866 | + | 0.336920i | ||||
\(501\) | 1066.14 | + | 313.047i | 0.0950732 | + | 0.0279160i | ||||
\(502\) | 83.2466 | + | 182.285i | 0.00740135 | + | 0.0162067i | ||||
\(503\) | −2570.45 | − | 17877.9i | −0.227854 | − | 1.58476i | −0.707121 | − | 0.707093i | \(-0.750006\pi\) |
0.479267 | − | 0.877669i | \(-0.340903\pi\) | |||||||
\(504\) | 334.855 | + | 215.198i | 0.0295945 | + | 0.0190192i | ||||
\(505\) | −3279.60 | −0.288991 | ||||||||
\(506\) | 1706.32 | − | 10445.7i | 0.149911 | − | 0.917722i | ||||
\(507\) | −3862.59 | −0.338351 | ||||||||
\(508\) | 722.857 | + | 464.552i | 0.0631330 | + | 0.0405731i | ||||
\(509\) | −1238.28 | − | 8612.43i | −0.107831 | − | 0.749979i | −0.969955 | − | 0.243283i | \(-0.921776\pi\) |
0.862125 | − | 0.506696i | \(-0.169133\pi\) | |||||||
\(510\) | 3516.32 | + | 7699.67i | 0.305305 | + | 0.668524i | ||||
\(511\) | 26015.7 | + | 7638.91i | 2.25219 | + | 0.661302i | ||||
\(512\) | −6840.69 | + | 14979.0i | −0.590466 | + | 1.29294i | ||||
\(513\) | −235.114 | + | 271.337i | −0.0202350 | + | 0.0233524i | ||||
\(514\) | −1351.15 | + | 9397.48i | −0.115947 | + | 0.806431i | ||||
\(515\) | −25760.5 | + | 7563.97i | −2.20416 | + | 0.647201i | ||||
\(516\) | 3777.58 | + | 4359.56i | 0.322284 | + | 0.371936i | ||||
\(517\) | −8551.29 | + | 5495.58i | −0.727438 | + | 0.467496i | ||||
\(518\) | 10250.6 | − | 6587.63i | 0.869467 | − | 0.558772i | ||||
\(519\) | 5217.15 | + | 6020.92i | 0.441248 | + | 0.509227i | ||||
\(520\) | −585.226 | + | 171.838i | −0.0493536 | + | 0.0144915i | ||||
\(521\) | −1273.61 | + | 8858.17i | −0.107098 | + | 0.744882i | 0.863530 | + | 0.504297i | \(0.168248\pi\) |
−0.970628 | + | 0.240585i | \(0.922661\pi\) | |||||||
\(522\) | −5754.05 | + | 6640.53i | −0.482467 | + | 0.556797i | ||||
\(523\) | 6431.51 | − | 14083.0i | 0.537725 | − | 1.17745i | −0.424558 | − | 0.905401i | \(-0.639570\pi\) |
0.962282 | − | 0.272052i | \(-0.0877024\pi\) | |||||||
\(524\) | −5957.92 | − | 1749.40i | −0.496704 | − | 0.145845i | ||||
\(525\) | −7058.24 | − | 15455.4i | −0.586756 | − | 1.28482i | ||||
\(526\) | 1954.33 | + | 13592.7i | 0.162002 | + | 1.12675i | ||||
\(527\) | −5077.10 | − | 3262.85i | −0.419662 | − | 0.269700i | ||||
\(528\) | 4386.07 | 0.361514 | ||||||||
\(529\) | −11534.6 | − | 3871.68i | −0.948020 | − | 0.318211i | ||||
\(530\) | 26564.8 | 2.17717 | ||||||||
\(531\) | 4702.02 | + | 3021.81i | 0.384276 | + | 0.246959i | ||||
\(532\) | 574.529 | + | 3995.94i | 0.0468214 | + | 0.325650i | ||||
\(533\) | −1179.50 | − | 2582.74i | −0.0958530 | − | 0.209889i | ||||
\(534\) | 5776.92 | + | 1696.26i | 0.468149 | + | 0.137461i | ||||
\(535\) | 2042.36 | − | 4472.15i | 0.165045 | − | 0.361398i | ||||
\(536\) | 595.971 | − | 687.787i | 0.0480262 | − | 0.0554251i | ||||
\(537\) | −331.745 | + | 2307.34i | −0.0266590 | + | 0.185417i | ||||
\(538\) | 2778.19 | − | 815.751i | 0.222633 | − | 0.0653709i | ||||
\(539\) | 15487.9 | + | 17874.0i | 1.23768 | + | 1.42836i | ||||
\(540\) | −3153.45 | + | 2026.60i | −0.251302 | + | 0.161502i | ||||
\(541\) | −14588.2 | + | 9375.28i | −1.15933 | + | 0.745055i | −0.971475 | − | 0.237143i | \(-0.923789\pi\) |
−0.187853 | + | 0.982197i | \(0.560153\pi\) | |||||||
\(542\) | 18953.6 | + | 21873.7i | 1.50208 | + | 1.73349i | ||||
\(543\) | 6079.31 | − | 1785.05i | 0.480457 | − | 0.141075i | ||||
\(544\) | −1534.13 | + | 10670.1i | −0.120910 | + | 0.840948i | ||||
\(545\) | 968.036 | − | 1117.17i | 0.0760846 | − | 0.0878063i | ||||
\(546\) | 5550.45 | − | 12153.8i | 0.435050 | − | 0.952628i | ||||
\(547\) | −10899.4 | − | 3200.34i | −0.851962 | − | 0.250159i | −0.173536 | − | 0.984827i | \(-0.555519\pi\) |
−0.678426 | + | 0.734669i | \(0.737338\pi\) | |||||||
\(548\) | 5914.86 | + | 12951.7i | 0.461077 | + | 1.00962i | ||||
\(549\) | −268.033 | − | 1864.21i | −0.0208368 | − | 0.144923i | ||||
\(550\) | 12498.0 | + | 8031.95i | 0.968936 | + | 0.622698i | ||||
\(551\) | −3215.60 | −0.248619 | ||||||||
\(552\) | −64.5000 | + | 394.855i | −0.00497337 | + | 0.0304459i | ||||
\(553\) | 46975.4 | 3.61229 | ||||||||
\(554\) | −7324.56 | − | 4707.21i | −0.561716 | − | 0.360993i | ||||
\(555\) | 589.259 | + | 4098.39i | 0.0450678 | + | 0.313454i | ||||
\(556\) | 2218.33 | + | 4857.47i | 0.169206 | + | 0.370508i | ||||
\(557\) | 3684.48 | + | 1081.86i | 0.280281 | + | 0.0822980i | 0.418852 | − | 0.908055i | \(-0.362433\pi\) |
−0.138571 | + | 0.990353i | \(0.544251\pi\) | |||||||
\(558\) | 2180.45 | − | 4774.53i | 0.165423 | − | 0.362226i | ||||
\(559\) | 4575.47 | − | 5280.38i | 0.346193 | − | 0.399528i | ||||
\(560\) | 5356.95 | − | 37258.4i | 0.404237 | − | 2.81153i | ||||
\(561\) | 2858.20 | − | 839.244i | 0.215104 | − | 0.0631603i | ||||
\(562\) | −8168.05 | − | 9426.43i | −0.613075 | − | 0.707527i | ||||
\(563\) | −617.522 | + | 396.857i | −0.0462264 | + | 0.0297079i | −0.563550 | − | 0.826082i | \(-0.690565\pi\) |
0.517324 | + | 0.855790i | \(0.326928\pi\) | |||||||
\(564\) | 8958.32 | − | 5757.16i | 0.668818 | − | 0.429823i | ||||
\(565\) | −108.955 | − | 125.741i | −0.00811289 | − | 0.00936277i | ||||
\(566\) | −32894.9 | + | 9658.81i | −2.44289 | + | 0.717297i | ||||
\(567\) | 421.677 | − | 2932.83i | 0.0312324 | − | 0.217226i | ||||
\(568\) | 523.949 | − | 604.670i | 0.0387050 | − | 0.0446679i | ||||
\(569\) | 10354.6 | − | 22673.5i | 0.762898 | − | 1.67051i | 0.0212048 | − | 0.999775i | \(-0.493250\pi\) |
0.741693 | − | 0.670739i | \(-0.234023\pi\) | |||||||
\(570\) | −2585.01 | − | 759.027i | −0.189954 | − | 0.0557757i | ||||
\(571\) | 2896.36 | + | 6342.14i | 0.212275 | + | 0.464817i | 0.985578 | − | 0.169219i | \(-0.0541245\pi\) |
−0.773304 | + | 0.634036i | \(0.781397\pi\) | |||||||
\(572\) | 846.587 | + | 5888.14i | 0.0618839 | + | 0.430412i | ||||
\(573\) | 10026.9 | + | 6443.92i | 0.731031 | + | 0.469805i | ||||
\(574\) | −13904.4 | −1.01108 | ||||||||
\(575\) | 11428.5 | − | 12690.6i | 0.828875 | − | 0.920408i | ||||
\(576\) | −4946.29 | −0.357805 | ||||||||
\(577\) | −14544.2 | − | 9346.99i | −1.04936 | − | 0.674385i | −0.102078 | − | 0.994776i | \(-0.532549\pi\) |
−0.947285 | + | 0.320391i | \(0.896186\pi\) | |||||||
\(578\) | −1819.96 | − | 12658.1i | −0.130969 | − | 0.910912i | ||||
\(579\) | −2159.97 | − | 4729.68i | −0.155035 | − | 0.339480i | ||||
\(580\) | −32213.1 | − | 9458.63i | −2.30617 | − | 0.677152i | ||||
\(581\) | −6766.58 | + | 14816.7i | −0.483176 | + | 1.05801i | ||||
\(582\) | −2645.53 | + | 3053.11i | −0.188421 | + | 0.217449i | ||||
\(583\) | 1330.46 | − | 9253.53i | 0.0945144 | − | 0.657362i | ||||
\(584\) | 859.873 | − | 252.481i | 0.0609277 | − | 0.0178900i | ||||
\(585\) | 2973.24 | + | 3431.31i | 0.210134 | + | 0.242508i | ||||
\(586\) | 8907.24 | − | 5724.33i | 0.627909 | − | 0.403533i | ||||
\(587\) | −16699.2 | + | 10731.9i | −1.17419 | + | 0.754608i | −0.974310 | − | 0.225212i | \(-0.927693\pi\) |
−0.199883 | + | 0.979820i | \(0.564056\pi\) | |||||||
\(588\) | −16225.1 | − | 18724.8i | −1.13795 | − | 1.31326i | ||||
\(589\) | 1843.08 | − | 541.177i | 0.128935 | − | 0.0378588i | ||||
\(590\) | −5968.95 | + | 41514.9i | −0.416504 | + | 2.89685i | ||||
\(591\) | −3215.16 | + | 3710.50i | −0.223780 | + | 0.258256i | ||||
\(592\) | −2108.38 | + | 4616.71i | −0.146375 | + | 0.320516i | ||||
\(593\) | 25579.5 | + | 7510.81i | 1.77137 | + | 0.520121i | 0.994044 | − | 0.108977i | \(-0.0347575\pi\) |
0.777326 | + | 0.629098i | \(0.216576\pi\) | |||||||
\(594\) | 1076.24 | + | 2356.64i | 0.0743413 | + | 0.162785i | ||||
\(595\) | −3638.25 | − | 25304.6i | −0.250679 | − | 1.74351i | ||||
\(596\) | −11135.7 | − | 7156.45i | −0.765326 | − | 0.491845i | ||||
\(597\) | −576.293 | −0.0395077 | ||||||||
\(598\) | 13427.4 | + | 256.784i | 0.918208 | + | 0.0175596i | ||||
\(599\) | −21799.2 | −1.48696 | −0.743482 | − | 0.668756i | \(-0.766827\pi\) | ||||
−0.743482 | + | 0.668756i | \(0.766827\pi\) | |||||||
\(600\) | −472.432 | − | 303.614i | −0.0321449 | − | 0.0206583i | ||||
\(601\) | −521.177 | − | 3624.86i | −0.0353731 | − | 0.246025i | 0.964461 | − | 0.264224i | \(-0.0851159\pi\) |
−0.999834 | + | 0.0181988i | \(0.994207\pi\) | |||||||
\(602\) | −14213.7 | − | 31123.6i | −0.962303 | − | 2.10715i | ||||
\(603\) | −6500.07 | − | 1908.59i | −0.438977 | − | 0.128895i | ||||
\(604\) | −913.434 | + | 2000.14i | −0.0615350 | + | 0.134743i | ||||
\(605\) | −8392.53 | + | 9685.49i | −0.563975 | + | 0.650862i | ||||
\(606\) | 337.936 | − | 2350.39i | 0.0226530 | − | 0.157555i | ||||
\(607\) | −1802.05 | + | 529.130i | −0.120499 | + | 0.0353817i | −0.341426 | − | 0.939909i | \(-0.610910\pi\) |
0.220927 | + | 0.975290i | \(0.429092\pi\) | |||||||
\(608\) | −2246.85 | − | 2593.00i | −0.149871 | − | 0.172960i | ||||
\(609\) | 22324.8 | − | 14347.3i | 1.48546 | − | 0.954650i | ||||
\(610\) | 11889.3 | − | 7640.77i | 0.789152 | − | 0.507157i | ||||
\(611\) | −8446.38 | − | 9747.64i | −0.559254 | − | 0.645413i | ||||
\(612\) | −2994.25 | + | 879.190i | −0.197770 | + | 0.0580705i | ||||
\(613\) | −3652.78 | + | 25405.7i | −0.240676 | + | 1.67394i | 0.408082 | + | 0.912945i | \(0.366198\pi\) |
−0.648759 | + | 0.760994i | \(0.724711\pi\) | |||||||
\(614\) | 1361.79 | − | 1571.59i | 0.0895074 | − | 0.103297i | ||||
\(615\) | 1962.77 | − | 4297.87i | 0.128694 | − | 0.281799i | ||||
\(616\) | 1008.57 | + | 296.143i | 0.0659682 | + | 0.0193700i | ||||
\(617\) | 2313.21 | + | 5065.21i | 0.150934 | + | 0.330499i | 0.969963 | − | 0.243253i | \(-0.0782146\pi\) |
−0.819029 | + | 0.573752i | \(0.805487\pi\) | |||||||
\(618\) | −2766.47 | − | 19241.2i | −0.180071 | − | 1.25242i | ||||
\(619\) | −13267.0 | − | 8526.20i | −0.861465 | − | 0.553630i | 0.0336657 | − | 0.999433i | \(-0.489282\pi\) |
−0.895131 | + | 0.445803i | \(0.852918\pi\) | |||||||
\(620\) | 20055.4 | 1.29910 | ||||||||
\(621\) | 2873.09 | − | 784.268i | 0.185657 | − | 0.0506789i | ||||
\(622\) | −37376.6 | −2.40943 | ||||||||
\(623\) | −15297.4 | − | 9831.05i | −0.983752 | − | 0.632219i | ||||
\(624\) | 792.033 | + | 5508.71i | 0.0508120 | + | 0.353405i | ||||
\(625\) | −4572.41 | − | 10012.2i | −0.292634 | − | 0.640779i | ||||
\(626\) | −292.187 | − | 85.7937i | −0.0186552 | − | 0.00547765i | ||||
\(627\) | −393.865 | + | 862.443i | −0.0250868 | + | 0.0549325i | ||||
\(628\) | 13938.1 | − | 16085.5i | 0.885657 | − | 1.02210i | ||||
\(629\) | −490.560 | + | 3411.92i | −0.0310969 | + | 0.216283i | ||||
\(630\) | 21333.4 | − | 6264.06i | 1.34912 | − | 0.396137i | ||||
\(631\) | 2494.41 | + | 2878.71i | 0.157371 | + | 0.181616i | 0.828960 | − | 0.559308i | \(-0.188933\pi\) |
−0.671589 | + | 0.740924i | \(0.734388\pi\) | |||||||
\(632\) | 1306.16 | − | 839.417i | 0.0822091 | − | 0.0528326i | ||||
\(633\) | −1479.35 | + | 950.723i | −0.0928895 | + | 0.0596964i | ||||
\(634\) | −15237.3 | − | 17584.8i | −0.954498 | − | 1.10155i | ||||
\(635\) | 1661.74 | − | 487.930i | 0.103849 | − | 0.0304928i | ||||
\(636\) | −1393.78 | + | 9693.98i | −0.0868980 | + | 0.604389i | ||||
\(637\) | −19652.2 | + | 22679.8i | −1.22237 | + | 1.41068i | ||||
\(638\) | −9639.21 | + | 21106.9i | −0.598150 | + | 1.30977i | ||||
\(639\) | −5714.55 | − | 1677.94i | −0.353778 | − | 0.103879i | ||||
\(640\) | −1074.67 | − | 2353.20i | −0.0663752 | − | 0.145341i | ||||
\(641\) | 1639.42 | + | 11402.4i | 0.101019 | + | 0.702602i | 0.975893 | + | 0.218251i | \(0.0700351\pi\) |
−0.874874 | + | 0.484351i | \(0.839056\pi\) | |||||||
\(642\) | 2994.61 | + | 1924.52i | 0.184093 | + | 0.118310i | ||||
\(643\) | 19672.2 | 1.20653 | 0.603264 | − | 0.797542i | \(-0.293867\pi\) | ||||
0.603264 | + | 0.797542i | \(0.293867\pi\) | |||||||
\(644\) | 14491.2 | − | 30190.0i | 0.886699 | − | 1.84729i | ||||
\(645\) | 11626.8 | 0.709774 | ||||||||
\(646\) | −1886.83 | − | 1212.59i | −0.114917 | − | 0.0738527i | ||||
\(647\) | −1886.62 | − | 13121.7i | −0.114638 | − | 0.797323i | −0.963308 | − | 0.268400i | \(-0.913505\pi\) |
0.848670 | − | 0.528923i | \(-0.177404\pi\) | |||||||
\(648\) | −40.6827 | − | 89.0827i | −0.00246631 | − | 0.00540046i | ||||
\(649\) | 14162.3 | + | 4158.43i | 0.856578 | + | 0.251514i | ||||
\(650\) | −7830.90 | + | 17147.3i | −0.472543 | + | 1.03473i | ||||
\(651\) | −10381.3 | + | 11980.6i | −0.624998 | + | 0.721286i | ||||
\(652\) | −3388.40 | + | 23566.8i | −0.203528 | + | 1.41557i | ||||
\(653\) | 4085.94 | − | 1199.74i | 0.244862 | − | 0.0718980i | −0.156999 | − | 0.987599i | \(-0.550182\pi\) |
0.401861 | + | 0.915701i | \(0.368364\pi\) | |||||||
\(654\) | 700.897 | + | 808.878i | 0.0419071 | + | 0.0483634i | ||||
\(655\) | −10528.7 | + | 6766.38i | −0.628076 | + | 0.403640i | ||||
\(656\) | 4872.20 | − | 3131.17i | 0.289981 | − | 0.186359i | ||||
\(657\) | −4368.59 | − | 5041.62i | −0.259414 | − | 0.299380i | ||||
\(658\) | −60603.9 | + | 17794.9i | −3.59056 | + | 1.05428i | ||||
\(659\) | −1912.19 | + | 13299.6i | −0.113032 | + | 0.786157i | 0.851909 | + | 0.523690i | \(0.175445\pi\) |
−0.964941 | + | 0.262467i | \(0.915464\pi\) | |||||||
\(660\) | −6482.51 | + | 7481.21i | −0.382320 | + | 0.441221i | ||||
\(661\) | 13978.2 | − | 30607.9i | 0.822524 | − | 1.80108i | 0.282958 | − | 0.959132i | \(-0.408684\pi\) |
0.539565 | − | 0.841944i | \(-0.318589\pi\) | |||||||
\(662\) | 31722.6 | + | 9314.60i | 1.86244 | + | 0.546861i | ||||
\(663\) | 1570.18 | + | 3438.22i | 0.0919771 | + | 0.201402i | ||||
\(664\) | 76.6188 | + | 532.895i | 0.00447799 | + | 0.0311451i | ||||
\(665\) | 6845.16 | + | 4399.12i | 0.399164 | + | 0.256527i | ||||
\(666\) | −2997.91 | −0.174424 | ||||||||
\(667\) | 22159.7 | + | 14847.4i | 1.28640 | + | 0.861911i | ||||
\(668\) | −3073.99 | −0.178048 | ||||||||
\(669\) | −12677.0 | − | 8147.04i | −0.732620 | − | 0.470826i | ||||
\(670\) | −7234.62 | − | 50317.9i | −0.417161 | − | 2.90142i | ||||
\(671\) | −2066.12 | − | 4524.17i | −0.118870 | − | 0.260289i | ||||
\(672\) | 27168.5 | + | 7977.38i | 1.55959 | + | 0.457938i | ||||
\(673\) | −5439.36 | + | 11910.5i | −0.311548 | + | 0.682195i | −0.999031 | − | 0.0440050i | \(-0.985988\pi\) |
0.687483 | + | 0.726200i | \(0.258716\pi\) | |||||||
\(674\) | 20310.8 | − | 23439.9i | 1.16074 | − | 1.33957i | ||||
\(675\) | −594.926 | + | 4137.80i | −0.0339240 | + | 0.235947i | ||||
\(676\) | 10253.0 | − | 3010.55i | 0.583351 | − | 0.171287i | ||||
\(677\) | −8490.76 | − | 9798.85i | −0.482018 | − | 0.556279i | 0.461697 | − | 0.887038i | \(-0.347241\pi\) |
−0.943715 | + | 0.330759i | \(0.892695\pi\) | |||||||
\(678\) | 101.342 | − | 65.1284i | 0.00574043 | − | 0.00368915i | ||||
\(679\) | 10264.3 | − | 6596.43i | 0.580126 | − | 0.372825i | ||||
\(680\) | −553.337 | − | 638.585i | −0.0312052 | − | 0.0360127i | ||||
\(681\) | −10696.3 | + | 3140.72i | −0.601885 | + | 0.176729i | ||||
\(682\) | 1972.65 | − | 13720.1i | 0.110757 | − | 0.770335i | ||||
\(683\) | 10714.1 | − | 12364.7i | 0.600238 | − | 0.692712i | −0.371591 | − | 0.928396i | \(-0.621188\pi\) |
0.971830 | + | 0.235684i | \(0.0757332\pi\) | |||||||
\(684\) | 412.612 | − | 903.494i | 0.0230652 | − | 0.0505058i | ||||
\(685\) | 27535.9 | + | 8085.27i | 1.53590 | + | 0.450981i | ||||
\(686\) | 40006.3 | + | 87601.6i | 2.22660 | + | 4.87558i | ||||
\(687\) | 800.232 | + | 5565.74i | 0.0444407 | + | 0.309092i | ||||
\(688\) | 11989.4 | + | 7705.13i | 0.664378 | + | 0.426970i | ||||
\(689\) | 11862.3 | 0.655902 | ||||||||
\(690\) | 14309.4 | + | 17166.5i | 0.789494 | + | 0.947126i | ||||
\(691\) | −23354.6 | −1.28575 | −0.642873 | − | 0.765973i | \(-0.722258\pi\) | ||||
−0.642873 | + | 0.765973i | \(0.722258\pi\) | |||||||
\(692\) | −18541.3 | − | 11915.8i | −1.01855 | − | 0.654581i | ||||
\(693\) | −1113.56 | − | 7744.99i | −0.0610400 | − | 0.424542i | ||||
\(694\) | 14755.2 | + | 32309.4i | 0.807060 | + | 1.76722i | ||||
\(695\) | 10327.2 | + | 3032.33i | 0.563643 | + | 0.165500i | ||||
\(696\) | 364.369 | − | 797.857i | 0.0198439 | − | 0.0434521i | ||||
\(697\) | 2575.86 | − | 2972.70i | 0.139982 | − | 0.161548i | ||||
\(698\) | −1771.97 | + | 12324.3i | −0.0960891 | + | 0.668314i | ||||
\(699\) | 10244.3 | − | 3007.99i | 0.554326 | − | 0.162765i | ||||
\(700\) | 30781.7 | + | 35524.0i | 1.66206 | + | 1.91811i | ||||
\(701\) | 6294.53 | − | 4045.25i | 0.339146 | − | 0.217956i | −0.359971 | − | 0.932964i | \(-0.617213\pi\) |
0.699116 | + | 0.715008i | \(0.253577\pi\) | |||||||
\(702\) | −2765.48 | + | 1777.27i | −0.148684 | + | 0.0955537i | ||||
\(703\) | −718.464 | − | 829.152i | −0.0385453 | − | 0.0444837i | ||||
\(704\) | −12533.0 | + | 3680.03i | −0.670961 | + | 0.197012i | ||||
\(705\) | 3054.53 | − | 21244.7i | 0.163178 | − | 1.13493i | ||||
\(706\) | 7851.34 | − | 9060.92i | 0.418540 | − | 0.483020i | ||||
\(707\) | −2979.22 | + | 6523.58i | −0.158480 | + | 0.347022i | ||||
\(708\) | −14836.4 | − | 4356.36i | −0.787551 | − | 0.231246i | ||||
\(709\) | −3273.93 | − | 7168.90i | −0.173420 | − | 0.379737i | 0.802886 | − | 0.596133i | \(-0.203297\pi\) |
−0.976306 | + | 0.216396i | \(0.930570\pi\) | |||||||
\(710\) | −6360.34 | − | 44237.1i | −0.336196 | − | 2.33829i | ||||
\(711\) | −9722.90 | − | 6248.53i | −0.512851 | − | 0.329589i | ||||
\(712\) | −601.020 | −0.0316351 | ||||||||
\(713\) | −15200.0 | − | 4780.66i | −0.798380 | − | 0.251104i | ||||
\(714\) | 18510.0 | 0.970193 | ||||||||
\(715\) | 10086.6 | + | 6482.24i | 0.527575 | + | 0.339052i | ||||
\(716\) | −917.770 | − | 6383.23i | −0.0479032 | − | 0.333174i | ||||
\(717\) | −3436.47 | − | 7524.81i | −0.178992 | − | 0.391938i | ||||
\(718\) | 20308.1 | + | 5962.98i | 1.05556 | + | 0.309939i | ||||
\(719\) | −809.248 | + | 1772.01i | −0.0419748 | + | 0.0919120i | −0.929458 | − | 0.368929i | \(-0.879725\pi\) |
0.887483 | + | 0.460840i | \(0.152452\pi\) | |||||||
\(720\) | −6064.77 | + | 6999.12i | −0.313918 | + | 0.362280i | ||||
\(721\) | −8355.31 | + | 58112.4i | −0.431578 | + | 3.00169i | ||||
\(722\) | −25884.9 | + | 7600.50i | −1.33426 | + | 0.391774i | ||||
\(723\) | 13078.1 | + | 15092.9i | 0.672724 | + | 0.776365i | ||||
\(724\) | −14745.8 | + | 9476.56i | −0.756939 | + | 0.486455i | ||||
\(725\) | −31497.1 | + | 20242.0i | −1.61348 | + | 1.03692i | ||||
\(726\) | −6076.53 | − | 7012.69i | −0.310635 | − | 0.358492i | ||||
\(727\) | 14011.9 | − | 4114.26i | 0.714817 | − | 0.209889i | 0.0959515 | − | 0.995386i | \(-0.469411\pi\) |
0.618866 | + | 0.785497i | \(0.287592\pi\) | |||||||
\(728\) | −189.815 | + | 1320.19i | −0.00966349 | + | 0.0672110i | ||||
\(729\) | −477.393 | + | 550.941i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 20795.3 | − | 45535.3i | 1.05434 | − | 2.30868i | ||||
\(731\) | 9287.27 | + | 2726.99i | 0.469907 | + | 0.137977i | ||||
\(732\) | 2164.46 | + | 4739.51i | 0.109291 | + | 0.239313i | ||||
\(733\) | 2902.75 | + | 20189.0i | 0.146269 | + | 1.01733i | 0.922257 | + | 0.386577i | \(0.126343\pi\) |
−0.775988 | + | 0.630748i | \(0.782748\pi\) | |||||||
\(734\) | 1956.21 | + | 1257.18i | 0.0983718 | + | 0.0632197i | ||||
\(735\) | −49938.3 | −2.50613 | ||||||||
\(736\) | 3511.03 | + | 28243.6i | 0.175840 | + | 1.41450i | ||||
\(737\) | −17890.0 | −0.894148 | ||||||||
\(738\) | 2877.91 | + | 1849.52i | 0.143546 | + | 0.0922516i | ||||
\(739\) | 1796.25 | + | 12493.2i | 0.0894131 | + | 0.621882i | 0.984420 | + | 0.175830i | \(0.0562610\pi\) |
−0.895007 | + | 0.446051i | \(0.852830\pi\) | |||||||
\(740\) | −4758.47 | − | 10419.6i | −0.236385 | − | 0.517611i | ||||
\(741\) | −1154.31 | − | 338.937i | −0.0572264 | − | 0.0168032i | ||||
\(742\) | 24131.7 | − | 52841.0i | 1.19394 | − | 2.61436i | ||||
\(743\) | −4091.32 | + | 4721.64i | −0.202013 | + | 0.233136i | −0.847712 | − | 0.530456i | \(-0.822021\pi\) |
0.645699 | + | 0.763592i | \(0.276566\pi\) | |||||||
\(744\) | −74.5675 | + | 518.628i | −0.00367443 | + | 0.0255562i | ||||
\(745\) | −25599.2 | + | 7516.59i | −1.25890 | + | 0.369647i | ||||
\(746\) | 1004.99 | + | 1159.82i | 0.0493233 | + | 0.0569221i | ||||
\(747\) | 3371.41 | − | 2166.67i | 0.165132 | − | 0.106124i | ||||
\(748\) | −6932.78 | + | 4455.42i | −0.338887 | + | 0.217789i | ||||
\(749\) | −7040.43 | − | 8125.08i | −0.343460 | − | 0.396374i | ||||
\(750\) | −5798.50 | + | 1702.59i | −0.282308 | + | 0.0828932i | ||||
\(751\) | −1980.44 | + | 13774.3i | −0.0962281 | + | 0.669281i | 0.883423 | + | 0.468575i | \(0.155233\pi\) |
−0.979652 | + | 0.200706i | \(0.935676\pi\) | |||||||
\(752\) | 17228.8 | − | 19883.1i | 0.835464 | − | 0.964177i | ||||
\(753\) | −61.8587 | + | 135.452i | −0.00299370 | + | 0.00655529i | ||||
\(754\) | −28250.0 | − | 8294.94i | −1.36446 | − | 0.400642i | ||||
\(755\) | 1841.08 | + | 4031.40i | 0.0887466 | + | 0.194328i | ||||
\(756\) | 1166.56 | + | 8113.64i | 0.0561211 | + | 0.390331i | ||||
\(757\) | 8643.16 | + | 5554.62i | 0.414982 | + | 0.266693i | 0.731429 | − | 0.681918i | \(-0.238854\pi\) |
−0.316447 | + | 0.948610i | \(0.602490\pi\) | |||||||
\(758\) | −16232.1 | −0.777806 | ||||||||
\(759\) | 6696.42 | − | 4124.77i | 0.320243 | − | 0.197259i | ||||
\(760\) | 268.939 | 0.0128361 | ||||||||
\(761\) | 8402.17 | + | 5399.75i | 0.400235 | + | 0.257215i | 0.725239 | − | 0.688497i | \(-0.241729\pi\) |
−0.325004 | + | 0.945713i | \(0.605366\pi\) | |||||||
\(762\) | 178.457 | + | 1241.19i | 0.00848400 | + | 0.0590075i | ||||
\(763\) | −1342.84 | − | 2940.41i | −0.0637143 | − | 0.139515i | ||||
\(764\) | −31638.2 | − | 9289.82i | −1.49821 | − | 0.439913i | ||||
\(765\) | −2612.90 | + | 5721.46i | −0.123490 | + | 0.270405i | ||||
\(766\) | −10035.2 | + | 11581.2i | −0.473350 | + | 0.546275i | ||||
\(767\) | −2665.38 | + | 18538.1i | −0.125478 | + | 0.872716i | ||||
\(768\) | −10858.6 | + | 3188.38i | −0.510191 | + | 0.149806i | ||||
\(769\) | 10402.3 | + | 12004.9i | 0.487799 | + | 0.562950i | 0.945276 | − | 0.326272i | \(-0.105792\pi\) |
−0.457477 | + | 0.889221i | \(0.651247\pi\) | |||||||
\(770\) | 49394.7 | − | 31744.1i | 2.31177 | − | 1.48568i | ||||
\(771\) | −5934.94 | + | 3814.15i | −0.277226 | + | 0.178163i | ||||
\(772\) | 9419.86 | + | 10871.1i | 0.439156 | + | 0.506812i | ||||
\(773\) | 14196.9 | − | 4168.57i | 0.660576 | − | 0.193963i | 0.0657737 | − | 0.997835i | \(-0.479048\pi\) |
0.594802 | + | 0.803872i | \(0.297230\pi\) | |||||||
\(774\) | −1198.04 | + | 8332.58i | −0.0556367 | + | 0.386962i | ||||
\(775\) | 14646.5 | − | 16902.9i | 0.678861 | − | 0.783447i | ||||
\(776\) | 167.525 | − | 366.829i | 0.00774975 | − | 0.0169696i | ||||
\(777\) | 8687.54 | + | 2550.89i | 0.401112 | + | 0.117777i | ||||
\(778\) | −6034.18 | − | 13213.0i | −0.278067 | − | 0.608881i | ||||
\(779\) | 178.171 | + | 1239.21i | 0.00819466 | + | 0.0569951i | ||||
\(780\) | −10566.7 | − | 6790.78i | −0.485060 | − | 0.311729i | ||||
\(781\) | −15728.0 | −0.720606 | ||||||||
\(782\) | 7403.83 | + | 17068.5i | 0.338568 | + | 0.780520i | ||||
\(783\) | −6529.19 | −0.298000 | ||||||||
\(784\) | −51495.8 | − | 33094.4i | −2.34584 | − | 1.50758i | ||||
\(785\) | −6105.22 | − | 42462.7i | −0.277585 | − | 1.93065i | ||||
\(786\) | −3764.37 | − | 8242.82i | −0.170828 | − | 0.374061i | ||||
\(787\) | −969.990 | − | 284.815i | −0.0439344 | − | 0.0129003i | 0.259691 | − | 0.965692i | \(-0.416379\pi\) |
−0.303626 | + | 0.952791i | \(0.598197\pi\) | |||||||
\(788\) | 5642.42 | − | 12355.2i | 0.255080 | − | 0.558547i | ||||
\(789\) | −6682.40 | + | 7711.90i | −0.301520 | + | 0.347973i | ||||
\(790\) | 12342.7 | − | 85845.1i | 0.555863 | − | 3.86611i | ||||
\(791\) | −349.092 | + | 102.503i | −0.0156919 | + | 0.00460756i | ||||
\(792\) | −169.360 | − | 195.452i | −0.00759842 | − | 0.00876904i | ||||
\(793\) | 5309.05 | − | 3411.92i | 0.237743 | − | 0.152788i | ||||
\(794\) | 23292.0 | − | 14968.9i | 1.04106 | − | 0.669050i | ||||
\(795\) | 12926.7 | + | 14918.3i | 0.576685 | + | 0.665530i | ||||
\(796\) | 1529.73 | − | 449.169i | 0.0681154 | − | 0.0200005i | ||||
\(797\) | 5170.44 | − | 35961.2i | 0.229795 | − | 1.59826i | −0.469175 | − | 0.883105i | \(-0.655449\pi\) |
0.698970 | − | 0.715151i | \(-0.253642\pi\) | |||||||
\(798\) | −3858.05 | + | 4452.43i | −0.171145 | + | 0.197512i | ||||
\(799\) | 7422.72 | − | 16253.5i | 0.328657 | − | 0.719658i | ||||
\(800\) | −38330.8 | − | 11254.9i | −1.69400 | − | 0.497403i | ||||
\(801\) | 1858.54 | + | 4069.63i | 0.0819827 | + | 0.179517i | ||||
\(802\) | 3462.77 | + | 24084.1i | 0.152462 | + | 1.06040i | ||||
\(803\) | −14820.2 | − | 9524.36i | −0.651299 | − | 0.418564i | ||||
\(804\) | 18741.5 | 0.822094 | ||||||||
\(805\) | −26860.0 | − | 61921.9i | −1.17601 | − | 2.71113i | ||||
\(806\) | 17588.0 | 0.768623 | ||||||||
\(807\) | 1810.01 | + | 1163.23i | 0.0789536 | + | 0.0507404i | ||||
\(808\) | 33.7341 | + | 234.626i | 0.00146876 | + | 0.0102155i | ||||
\(809\) | 4435.36 | + | 9712.08i | 0.192755 | + | 0.422075i | 0.981190 | − | 0.193043i | \(-0.0618357\pi\) |
−0.788435 | + | 0.615118i | \(0.789108\pi\) | |||||||
\(810\) | −5248.79 | − | 1541.18i | −0.227683 | − | 0.0668539i | ||||
\(811\) | 5661.55 | − | 12397.1i | 0.245134 | − | 0.536770i | −0.746570 | − | 0.665307i | \(-0.768301\pi\) |
0.991705 | + | 0.128537i | \(0.0410281\pi\) | |||||||
\(812\) | −48077.2 | + | 55484.1i | −2.07781 | + | 2.39792i | ||||
\(813\) | −3060.75 | + | 21288.0i | −0.132036 | + | 0.918330i | ||||
\(814\) | −7596.17 | + | 2230.44i | −0.327083 | + | 0.0960403i | ||||
\(815\) | 31425.9 | + | 36267.5i | 1.35068 | + | 1.55877i | ||||
\(816\) | −6486.03 | + | 4168.32i | −0.278255 | + | 0.178824i | ||||
\(817\) | −2591.71 | + | 1665.59i | −0.110982 | + | 0.0713240i | ||||
\(818\) | 16399.3 | + | 18925.9i | 0.700965 | + | 0.808957i | ||||
\(819\) | 9526.27 | − | 2797.16i | 0.406440 | − | 0.119342i | ||||
\(820\) | −1860.23 | + | 12938.2i | −0.0792220 | + | 0.551001i | ||||
\(821\) | 1482.89 | − | 1711.35i | 0.0630369 | − | 0.0727485i | −0.723355 | − | 0.690476i | \(-0.757401\pi\) |
0.786392 | + | 0.617728i | \(0.211947\pi\) | |||||||
\(822\) | −8631.81 | + | 18901.0i | −0.366264 | + | 0.802007i | ||||
\(823\) | 29189.9 | + | 8570.93i | 1.23633 | + | 0.363018i | 0.833634 | − | 0.552317i | \(-0.186256\pi\) |
0.402692 | + | 0.915335i | \(0.368074\pi\) | |||||||
\(824\) | 806.106 | + | 1765.13i | 0.0340801 | + | 0.0746251i | ||||
\(825\) | 1571.08 | + | 10927.1i | 0.0663004 | + | 0.461129i | ||||
\(826\) | 77156.7 | + | 49585.6i | 3.25015 | + | 2.08874i | ||||
\(827\) | −19291.1 | −0.811144 | −0.405572 | − | 0.914063i | \(-0.632928\pi\) | ||||
−0.405572 | + | 0.914063i | \(0.632928\pi\) | |||||||
\(828\) | −7015.15 | + | 4321.10i | −0.294437 | + | 0.181363i | ||||
\(829\) | 1873.36 | 0.0784854 | 0.0392427 | − | 0.999230i | \(-0.487505\pi\) | ||||
0.0392427 | + | 0.999230i | \(0.487505\pi\) | |||||||
\(830\) | 25298.9 | + | 16258.6i | 1.05800 | + | 0.679933i | ||||
\(831\) | −920.745 | − | 6403.92i | −0.0384360 | − | 0.267328i | ||||
\(832\) | −6885.15 | − | 15076.4i | −0.286899 | − | 0.628220i | ||||
\(833\) | −39889.8 | − | 11712.7i | −1.65918 | − | 0.487180i | ||||
\(834\) | −3237.31 | + | 7088.72i | −0.134411 | + | 0.294319i | ||||
\(835\) | −4057.38 | + | 4682.47i | −0.168157 | + | 0.194064i | ||||
\(836\) | 373.288 | − | 2596.28i | 0.0154431 | − | 0.107409i | ||||
\(837\) | 3742.32 | − | 1098.84i | 0.154544 | − | 0.0453783i | ||||
\(838\) | 5906.65 | + | 6816.64i | 0.243487 | + | 0.280999i | ||||
\(839\) | 16735.0 | − | 10754.9i | 0.688626 | − | 0.442553i | −0.148971 | − | 0.988842i | \(-0.547596\pi\) |
0.837597 | + | 0.546289i | \(0.183960\pi\) | |||||||
\(840\) | −1867.16 | + | 1199.95i | −0.0766940 | + | 0.0492883i | ||||
\(841\) | −22323.4 | − | 25762.6i | −0.915306 | − | 1.05632i | ||||
\(842\) | 3486.68 | − | 1023.78i | 0.142706 | − | 0.0419024i | ||||
\(843\) | 1319.03 | − | 9174.04i | 0.0538906 | − | 0.374817i | ||||
\(844\) | 3185.83 | − | 3676.65i | 0.129930 | − | 0.149947i | ||||
\(845\) | 8947.16 | − | 19591.6i | 0.364251 | − | 0.797598i | ||||
\(846\) | 14910.7 | + | 4378.19i | 0.605959 | + | 0.177926i | ||||
\(847\) | 11641.9 | + | 25492.3i | 0.472281 | + | 1.03415i | ||||
\(848\) | 3443.51 | + | 23950.2i | 0.139447 | + | 0.969872i | ||||
\(849\) | −21431.3 | − | 13773.0i | −0.866336 | − | 0.556761i | ||||
\(850\) | −26114.9 | −1.05380 | ||||||||
\(851\) | 1122.71 | + | 9031.32i | 0.0452243 | + | 0.363795i | ||||
\(852\) | 16476.7 | 0.662537 | ||||||||
\(853\) | 17181.0 | + | 11041.5i | 0.689643 | + | 0.443207i | 0.837959 | − | 0.545733i | \(-0.183749\pi\) |
−0.148316 | + | 0.988940i | \(0.547385\pi\) | |||||||
\(854\) | −4398.23 | − | 30590.3i | −0.176235 | − | 1.22574i | ||||
\(855\) | −831.643 | − | 1821.04i | −0.0332650 | − | 0.0728402i | ||||
\(856\) | −340.949 | − | 100.112i | −0.0136138 | − | 0.00399737i | ||||
\(857\) | −314.177 | + | 687.953i | −0.0125229 | + | 0.0274213i | −0.915790 | − | 0.401657i | \(-0.868434\pi\) |
0.903267 | + | 0.429078i | \(0.141162\pi\) | |||||||
\(858\) | −5684.96 | + | 6560.80i | −0.226202 | + | 0.261051i | ||||
\(859\) | 668.698 | − | 4650.90i | 0.0265608 | − | 0.184734i | −0.972222 | − | 0.234061i | \(-0.924798\pi\) |
0.998783 | + | 0.0493268i | \(0.0157076\pi\) | |||||||
\(860\) | −30862.5 | + | 9062.04i | −1.22372 | + | 0.359317i | ||||
\(861\) | −6766.05 | − | 7808.44i | −0.267812 | − | 0.309072i | ||||
\(862\) | −9610.53 | + | 6176.31i | −0.379740 | + | 0.244044i | ||||
\(863\) | 25031.2 | − | 16086.6i | 0.987338 | − | 0.634523i | 0.0559046 | − | 0.998436i | \(-0.482196\pi\) |
0.931433 | + | 0.363913i | \(0.118559\pi\) | |||||||
\(864\) | −4562.16 | − | 5265.01i | −0.179639 | − | 0.207314i | ||||
\(865\) | −42623.6 | + | 12515.4i | −1.67543 | + | 0.491951i | ||||
\(866\) | 3213.76 | − | 22352.2i | 0.126106 | − | 0.877088i | ||||
\(867\) | 6222.92 | − | 7181.64i | 0.243762 | − | 0.281316i | ||||
\(868\) | 18218.5 | − | 39893.0i | 0.712415 | − | 1.55997i | ||||
\(869\) | −29285.0 | − | 8598.85i | −1.14318 | − | 0.335669i | ||||
\(870\) | −20353.1 | − | 44567.1i | −0.793144 | − | 1.73674i | ||||
\(871\) | −3230.56 | − | 22469.0i | −0.125675 | − | 0.874092i | ||||
\(872\) | −89.8807 | − | 57.7628i | −0.00349053 | − | 0.00224323i | ||||
\(873\) | −3001.91 | −0.116380 | ||||||||
\(874\) | −5648.88 | − | 1776.66i | −0.218622 | − | 0.0687604i | ||||
\(875\) | 18252.0 | 0.705177 | ||||||||
\(876\) | 15525.6 | + | 9977.70i | 0.598815 | + | 0.384835i | ||||
\(877\) | 3862.45 | + | 26863.9i | 0.148718 | + | 1.03436i | 0.918322 | + | 0.395835i | \(0.129545\pi\) |
−0.769604 | + | 0.638522i | \(0.779546\pi\) | |||||||
\(878\) | 1355.25 | + | 2967.57i | 0.0520926 | + | 0.114067i | ||||
\(879\) | 7549.05 | + | 2216.60i | 0.289674 | + | 0.0850559i | ||||
\(880\) | −10159.7 | + | 22246.7i | −0.389187 | + | 0.852201i | ||||
\(881\) | 4096.37 | − | 4727.47i | 0.156652 | − | 0.180786i | −0.671998 | − | 0.740553i | \(-0.734564\pi\) |
0.828650 | + | 0.559767i | \(0.189109\pi\) | |||||||
\(882\) | 5145.73 | − | 35789.3i | 0.196446 | − | 1.36631i | ||||
\(883\) | 23457.9 | − | 6887.85i | 0.894020 | − | 0.262508i | 0.197720 | − | 0.980259i | \(-0.436646\pi\) |
0.696300 | + | 0.717751i | \(0.254828\pi\) | |||||||
\(884\) | −6847.72 | − | 7902.69i | −0.260536 | − | 0.300675i | ||||
\(885\) | −26218.6 | + | 16849.6i | −0.995850 | + | 0.639994i | ||||
\(886\) | 10975.1 | − | 7053.30i | 0.416159 | − | 0.267449i | ||||
\(887\) | 13014.3 | + | 15019.3i | 0.492646 | + | 0.568543i | 0.946571 | − | 0.322497i | \(-0.104522\pi\) |
−0.453925 | + | 0.891040i | \(0.649977\pi\) | |||||||
\(888\) | 287.141 | − | 84.3122i | 0.0108511 | − | 0.00318618i | ||||
\(889\) | 538.976 | − | 3748.66i | 0.0203337 | − | 0.141424i | ||||
\(890\) | −21985.0 | + | 25372.1i | −0.828023 | + | 0.955590i | ||||
\(891\) | −799.731 | + | 1751.17i | −0.0300696 | + | 0.0658432i | ||||
\(892\) | 40000.2 | + | 11745.1i | 1.50146 | + | 0.440869i | ||||
\(893\) | 2362.53 | + | 5173.21i | 0.0885318 | + | 0.193858i | ||||
\(894\) | −2749.14 | − | 19120.7i | −0.102847 | − | 0.715315i | ||||
\(895\) | −10934.7 | − | 7027.28i | −0.408386 | − | 0.262454i | ||||
\(896\) | −5657.08 | −0.210926 | ||||||||
\(897\) | 6389.75 | + | 7665.54i | 0.237846 | + | 0.285335i | ||||
\(898\) | 24845.4 | 0.923278 | ||||||||
\(899\) | 29387.2 | + | 18886.0i | 1.09023 | + | 0.700649i | ||||
\(900\) | −1645.86 | − | 11447.2i | −0.0609576 | − | 0.423970i | ||||
\(901\) | 6826.67 | + | 14948.3i | 0.252419 | + | 0.552720i | ||||
\(902\) | 8668.14 | + | 2545.20i | 0.319975 | + | 0.0939532i | ||||
\(903\) | 10561.9 | − | 23127.3i | 0.389233 | − | 0.852301i | ||||
\(904\) | −7.87490 | + | 9.08812i | −0.000289729 | + | 0.000334366i | ||||
\(905\) | −5027.90 | + | 34969.8i | −0.184678 | + | 1.28446i | ||||
\(906\) | −3078.89 | + | 904.044i | −0.112902 | + | 0.0331511i | ||||
\(907\) | −28153.7 | − | 32491.1i | −1.03068 | − | 1.18947i | −0.981653 | − | 0.190674i | \(-0.938933\pi\) |
−0.0490297 | − | 0.998797i | \(-0.515613\pi\) | |||||||
\(908\) | 25944.7 | − | 16673.6i | 0.948244 | − | 0.609399i | ||||
\(909\) | 1484.38 | − | 953.954i | 0.0541626 | − | 0.0348082i | ||||
\(910\) | 48788.7 | + | 56305.2i | 1.77729 | + | 2.05110i | ||||
\(911\) | −46343.9 | + | 13607.8i | −1.68545 | + | 0.494892i | −0.977422 | − | 0.211295i | \(-0.932232\pi\) |
−0.708025 | + | 0.706187i | \(0.750414\pi\) | |||||||
\(912\) | 349.233 | − | 2428.97i | 0.0126801 | − | 0.0881922i | ||||
\(913\) | 6930.56 | − | 7998.29i | 0.251225 | − | 0.289929i | ||||
\(914\) | −8001.45 | + | 17520.7i | −0.289567 | + | 0.634064i | ||||
\(915\) | 10076.4 | + | 2958.69i | 0.364060 | + | 0.106898i | ||||
\(916\) | −6462.15 | − | 14150.1i | −0.233096 | − | 0.510408i | ||||
\(917\) | 3894.91 | + | 27089.7i | 0.140263 | + | 0.975550i | ||||
\(918\) | −3831.16 | − | 2462.14i | −0.137742 | − | 0.0885214i | ||||
\(919\) | −5866.89 | −0.210589 | −0.105294 | − | 0.994441i | \(-0.533578\pi\) | ||||
−0.105294 | + | 0.994441i | \(0.533578\pi\) | |||||||
\(920\) | −1853.35 | − | 1241.78i | −0.0664163 | − | 0.0445002i | ||||
\(921\) | 1545.24 | 0.0552850 | ||||||||
\(922\) | 20351.6 | + | 13079.2i | 0.726947 | + | 0.467180i | ||||
\(923\) | −2840.15 | − | 19753.7i | −0.101284 | − | 0.704443i | ||||
\(924\) | 8992.39 | + | 19690.6i | 0.320160 | + | 0.701053i | ||||
\(925\) | −12256.9 | − | 3598.94i | −0.435680 | − | 0.127927i | ||||
\(926\) | −19542.3 | + | 42791.7i | −0.693520 | + | 1.51860i | ||||
\(927\) | 9459.30 | − | 10916.6i | 0.335150 | − | 0.386784i | ||||
\(928\) | 8879.80 | − | 61760.4i | 0.314110 | − | 2.18468i | ||||
\(929\) | −24477.9 | + | 7187.37i | −0.864473 | + | 0.253832i | −0.683763 | − | 0.729704i | \(-0.739658\pi\) |
−0.180710 | + | 0.983536i | \(0.557839\pi\) | |||||||
\(930\) | 19166.3 | + | 22119.1i | 0.675793 | + | 0.779906i | ||||
\(931\) | 11131.7 | − | 7153.90i | 0.391865 | − | 0.251836i | ||||
\(932\) | −24848.2 | + | 15969.0i | −0.873316 | + | 0.561246i | ||||
\(933\) | −18187.9 | − | 20990.0i | −0.638207 | − | 0.736530i | ||||
\(934\) | −76745.0 | + | 22534.4i | −2.68862 | + | 0.789451i | ||||
\(935\) | −2363.88 | + | 16441.1i | −0.0826814 | + | 0.575062i | ||||
\(936\) | 214.896 | − | 248.003i | 0.00750437 | − | 0.00866050i | ||||
\(937\) | −7774.41 | + | 17023.6i | −0.271055 | + | 0.593529i | −0.995389 | − | 0.0959211i | \(-0.969420\pi\) |
0.724333 | + | 0.689450i | \(0.242148\pi\) | |||||||
\(938\) | −106661. | − | 31318.6i | −3.71281 | − | 1.09018i | ||||
\(939\) | −94.0016 | − | 205.835i | −0.00326691 | − | 0.00715353i | ||||
\(940\) | 8450.33 | + | 58773.4i | 0.293212 | + | 2.03934i | ||||
\(941\) | 22201.0 | + | 14267.7i | 0.769111 | + | 0.494277i | 0.865403 | − | 0.501076i | \(-0.167062\pi\) |
−0.0962929 | + | 0.995353i | \(0.530699\pi\) | |||||||
\(942\) | 31060.9 | 1.07433 | ||||||||
\(943\) | 4493.98 | − | 9362.44i | 0.155190 | − | 0.323312i | ||||
\(944\) | −38202.6 | −1.31715 | ||||||||
\(945\) | 13898.9 | + | 8932.28i | 0.478446 | + | 0.307479i | ||||
\(946\) | 3163.79 | + | 22004.6i | 0.108735 | + | 0.756270i | ||||
\(947\) | 17832.4 | + | 39047.6i | 0.611907 | + | 1.33989i | 0.921262 | + | 0.388943i | \(0.127160\pi\) |
−0.309355 | + | 0.950947i | \(0.600113\pi\) | |||||||
\(948\) | 30678.9 | + | 9008.14i | 1.05106 | + | 0.308619i | ||||
\(949\) | 9285.94 | − | 20333.4i | 0.317634 | − | 0.695521i | ||||
\(950\) | 5443.16 | − | 6281.74i | 0.185894 | − | 0.214533i | ||||
\(951\) | 2460.62 | − | 17114.0i | 0.0839023 | − | 0.583553i | ||||
\(952\) | −1772.89 | + | 520.567i | −0.0603568 | + | 0.0177224i | ||||
\(953\) | −13064.1 | − | 15076.7i | −0.444057 | − | 0.512469i | 0.488957 | − | 0.872308i | \(-0.337377\pi\) |
−0.933015 | + | 0.359838i | \(0.882832\pi\) | |||||||
\(954\) | −12023.5 | + | 7727.02i | −0.408044 | + | 0.262234i | ||||
\(955\) | −55910.3 | + | 35931.4i | −1.89447 | + | 1.21750i | ||||
\(956\) | 14986.8 | + | 17295.7i | 0.507015 | + | 0.585127i | ||||
\(957\) | −16543.8 | + | 4857.70i | −0.558814 | + | 0.164083i | ||||
\(958\) | 3305.47 | − | 22990.0i | 0.111477 | − | 0.775338i | ||||
\(959\) | 41096.5 | − | 47427.9i | 1.38381 | − | 1.59701i | ||||
\(960\) | 11457.4 | − | 25088.2i | 0.385194 | − | 0.843457i | ||||
\(961\) | 8562.00 | + | 2514.03i | 0.287402 | + | 0.0843889i | ||||
\(962\) | −4173.04 | − | 9137.67i | −0.139859 | − | 0.306248i | ||||
\(963\) | 376.442 | + | 2618.21i | 0.0125968 | + | 0.0876124i | ||||
\(964\) | −46478.4 | − | 29869.9i | −1.55287 | − | 0.997971i | ||||
\(965\) | 28992.8 | 0.967162 | ||||||||
\(966\) | 47145.3 | − | 12869.3i | 1.57026 | − | 0.428635i | ||||
\(967\) | 25151.9 | 0.836432 | 0.418216 | − | 0.908348i | \(-0.362655\pi\) | ||||
0.418216 | + | 0.908348i | \(0.362655\pi\) | |||||||
\(968\) | 779.234 | + | 500.783i | 0.0258735 | + | 0.0166279i | ||||
\(969\) | −237.187 | − | 1649.67i | −0.00786331 | − | 0.0546905i | ||||
\(970\) | −9357.72 | − | 20490.6i | −0.309751 | − | 0.678260i | ||||
\(971\) | 19636.5 | + | 5765.79i | 0.648985 | + | 0.190559i | 0.589625 | − | 0.807677i | \(-0.299276\pi\) |
0.0593606 | + | 0.998237i | \(0.481094\pi\) | |||||||
\(972\) | 837.797 | − | 1834.52i | 0.0276465 | − | 0.0605373i | ||||
\(973\) | 15413.0 | − | 17787.6i | 0.507830 | − | 0.586067i | ||||
\(974\) | −4977.50 | + | 34619.3i | −0.163747 | + | 1.13888i | ||||
\(975\) | −13440.2 | + | 3946.40i | −0.441467 | + | 0.129627i | ||||
\(976\) | 8429.91 | + | 9728.64i | 0.276470 | + | 0.319064i | ||||
\(977\) | −18522.7 | + | 11903.8i | −0.606544 | + | 0.389802i | −0.807560 | − | 0.589786i | \(-0.799212\pi\) |
0.201016 | + | 0.979588i | \(0.435576\pi\) | |||||||
\(978\) | −29230.0 | + | 18785.0i | −0.955698 | + | 0.614190i | ||||
\(979\) | 7736.99 | + | 8928.97i | 0.252580 | + | 0.291492i | ||||
\(980\) | 132558. | − | 38922.5i | 4.32082 | − | 1.26871i | ||||
\(981\) | −113.185 | + | 787.221i | −0.00368372 | + | 0.0256208i | ||||
\(982\) | −17534.5 | + | 20235.9i | −0.569805 | + | 0.657591i | ||||
\(983\) | 216.863 | − | 474.863i | 0.00703646 | − | 0.0154077i | −0.906081 | − | 0.423104i | \(-0.860941\pi\) |
0.913118 | + | 0.407696i | \(0.133668\pi\) | |||||||
\(984\) | −327.662 | − | 96.2102i | −0.0106153 | − | 0.00311694i | ||||
\(985\) | −11372.6 | − | 24902.6i | −0.367880 | − | 0.805544i | ||||
\(986\) | −5804.77 | − | 40373.1i | −0.187486 | − | 1.30400i | ||||
\(987\) | −39483.9 | − | 25374.8i | −1.27334 | − | 0.818327i | ||||
\(988\) | 3328.21 | 0.107171 | ||||||||
\(989\) | 25550.9 | + | 488.630i | 0.821507 | + | 0.0157103i | ||||
\(990\) | −14446.1 | −0.463766 | ||||||||
\(991\) | −35594.3 | − | 22875.1i | −1.14096 | − | 0.733249i | −0.173140 | − | 0.984897i | \(-0.555391\pi\) |
−0.967819 | + | 0.251648i | \(0.919028\pi\) | |||||||
\(992\) | 5304.49 | + | 36893.5i | 0.169776 | + | 1.18082i | ||||
\(993\) | 10205.7 | + | 22347.4i | 0.326152 | + | 0.714173i | ||||
\(994\) | −93771.5 | − | 27533.8i | −2.99220 | − | 0.878590i | ||||
\(995\) | 1334.90 | − | 2923.03i | 0.0425320 | − | 0.0931320i | ||||
\(996\) | −7260.44 | + | 8379.00i | −0.230980 | + | 0.266565i | ||||
\(997\) | 5186.69 | − | 36074.2i | 0.164758 | − | 1.14592i | −0.724754 | − | 0.689008i | \(-0.758047\pi\) |
0.889512 | − | 0.456911i | \(-0.151044\pi\) | |||||||
\(998\) | 81509.5 | − | 23933.4i | 2.58531 | − | 0.759116i | ||||
\(999\) | −1458.82 | − | 1683.57i | −0.0462013 | − | 0.0533191i |
(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 | 69.4.e.a.25.2 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.c.163.5 | 60 | |||
23.9 | even | 11 | 1587.4.a.t.1.6 | 30 | |||
23.12 | even | 11 | inner | 69.4.e.a.58.2 | yes | 60 | |
23.14 | odd | 22 | 1587.4.a.u.1.6 | 30 | |||
69.35 | odd | 22 | 207.4.i.c.127.5 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.a.25.2 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.a.58.2 | yes | 60 | 23.12 | even | 11 | inner | |
207.4.i.c.127.5 | 60 | 69.35 | odd | 22 | |||
207.4.i.c.163.5 | 60 | 3.2 | odd | 2 | |||
1587.4.a.t.1.6 | 30 | 23.9 | even | 11 | |||
1587.4.a.u.1.6 | 30 | 23.14 | odd | 22 |