Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(6,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.e (of order \(14\), 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: | \(11.6233762711\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 6.7 | ||
Character | \(\chi\) | \(=\) | 197.6 |
Dual form | 197.4.e.a.33.7 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.23718 | + | 0.967109i | −1.49807 | + | 0.341925i | −0.891469 | − | 0.453082i | \(-0.850325\pi\) |
−0.606601 | + | 0.795006i | \(0.707467\pi\) | |||||||
\(3\) | 5.25614 | + | 1.19968i | 1.01155 | + | 0.230879i | 0.696008 | − | 0.718035i | \(-0.254958\pi\) |
0.315538 | + | 0.948913i | \(0.397815\pi\) | |||||||
\(4\) | 9.81066 | − | 4.72457i | 1.22633 | − | 0.590571i | ||||
\(5\) | 0.445098 | − | 0.924256i | 0.0398108 | − | 0.0826680i | −0.880115 | − | 0.474761i | \(-0.842535\pi\) |
0.919926 | + | 0.392093i | \(0.128249\pi\) | |||||||
\(6\) | −23.4315 | −1.59431 | ||||||||
\(7\) | 3.51884 | − | 15.4170i | 0.189999 | − | 0.832442i | −0.786615 | − | 0.617444i | \(-0.788168\pi\) |
0.976614 | − | 0.214998i | \(-0.0689745\pi\) | |||||||
\(8\) | −9.81675 | + | 7.82859i | −0.433843 | + | 0.345978i | ||||
\(9\) | 1.86164 | + | 0.896520i | 0.0689497 | + | 0.0332044i | ||||
\(10\) | −0.992106 | + | 4.34670i | −0.0313731 | + | 0.137455i | ||||
\(11\) | −49.1168 | + | 11.2106i | −1.34630 | + | 0.307284i | −0.834114 | − | 0.551593i | \(-0.814020\pi\) |
−0.512183 | + | 0.858876i | \(0.671163\pi\) | |||||||
\(12\) | 57.2342 | − | 13.0633i | 1.37684 | − | 0.314255i | ||||
\(13\) | −30.2930 | − | 24.1579i | −0.646290 | − | 0.515399i | 0.244597 | − | 0.969625i | \(-0.421344\pi\) |
−0.890886 | + | 0.454226i | \(0.849916\pi\) | |||||||
\(14\) | 68.7279i | 1.31202i | ||||||||
\(15\) | 3.44831 | − | 4.32405i | 0.0593567 | − | 0.0744309i | ||||
\(16\) | −20.2893 | + | 25.4419i | −0.317020 | + | 0.397530i | ||||
\(17\) | −12.8671 | + | 26.7189i | −0.183573 | + | 0.381193i | −0.972365 | − | 0.233467i | \(-0.924993\pi\) |
0.788792 | + | 0.614661i | \(0.210707\pi\) | |||||||
\(18\) | −8.75515 | − | 1.99831i | −0.114645 | − | 0.0261670i | ||||
\(19\) | −56.0862 | −0.677213 | −0.338607 | − | 0.940928i | \(-0.609956\pi\) | ||||
−0.338607 | + | 0.940928i | \(0.609956\pi\) | |||||||
\(20\) | − | 11.1705i | − | 0.124890i | ||||||
\(21\) | 36.9910 | − | 76.8127i | 0.384386 | − | 0.798186i | ||||
\(22\) | 197.275 | − | 95.0026i | 1.91178 | − | 0.920665i | ||||
\(23\) | 35.1545 | + | 154.022i | 0.318705 | + | 1.39634i | 0.839827 | + | 0.542855i | \(0.182657\pi\) |
−0.521122 | + | 0.853482i | \(0.674486\pi\) | |||||||
\(24\) | −60.9900 | + | 29.3713i | −0.518731 | + | 0.249808i | ||||
\(25\) | 77.2801 | + | 96.9062i | 0.618241 | + | 0.775249i | ||||
\(26\) | 151.720 | + | 73.0646i | 1.14441 | + | 0.551121i | ||||
\(27\) | −105.098 | − | 83.8130i | −0.749117 | − | 0.597401i | ||||
\(28\) | −38.3167 | − | 167.876i | −0.258613 | − | 1.13306i | ||||
\(29\) | 40.3473 | + | 176.773i | 0.258356 | + | 1.13193i | 0.923009 | + | 0.384778i | \(0.125722\pi\) |
−0.664654 | + | 0.747152i | \(0.731421\pi\) | |||||||
\(30\) | −10.4293 | + | 21.6567i | −0.0634707 | + | 0.131798i | ||||
\(31\) | −252.774 | + | 57.6940i | −1.46450 | + | 0.334263i | −0.879161 | − | 0.476526i | \(-0.841896\pi\) |
−0.585340 | + | 0.810788i | \(0.699039\pi\) | |||||||
\(32\) | 104.947 | − | 217.925i | 0.579757 | − | 1.20388i | ||||
\(33\) | −271.614 | −1.43279 | ||||||||
\(34\) | 28.6804 | − | 125.657i | 0.144666 | − | 0.633823i | ||||
\(35\) | −12.6831 | − | 10.1144i | −0.0612523 | − | 0.0488470i | ||||
\(36\) | 22.4996 | 0.104165 | ||||||||
\(37\) | −249.400 | − | 312.737i | −1.10814 | − | 1.38956i | −0.912595 | − | 0.408864i | \(-0.865925\pi\) |
−0.195542 | − | 0.980695i | \(-0.562647\pi\) | |||||||
\(38\) | 237.647 | − | 54.2415i | 1.01451 | − | 0.231556i | ||||
\(39\) | −130.243 | − | 163.319i | −0.534756 | − | 0.670563i | ||||
\(40\) | 2.86621 | + | 12.5577i | 0.0113297 | + | 0.0496386i | ||||
\(41\) | −226.110 | − | 108.889i | −0.861279 | − | 0.414770i | −0.0495270 | − | 0.998773i | \(-0.515771\pi\) |
−0.811752 | + | 0.584003i | \(0.801486\pi\) | |||||||
\(42\) | −82.4515 | + | 361.244i | −0.302918 | + | 1.32717i | ||||
\(43\) | 10.3636 | + | 45.4057i | 0.0367541 | + | 0.161030i | 0.989975 | − | 0.141246i | \(-0.0451107\pi\) |
−0.953220 | + | 0.302276i | \(0.902254\pi\) | |||||||
\(44\) | −428.903 | + | 342.039i | −1.46954 | + | 1.17192i | ||||
\(45\) | 1.65723 | − | 1.32159i | 0.00548989 | − | 0.00437804i | ||||
\(46\) | −297.912 | − | 618.620i | −0.954884 | − | 1.98284i | ||||
\(47\) | −170.531 | − | 213.840i | −0.529246 | − | 0.663654i | 0.443297 | − | 0.896375i | \(-0.353809\pi\) |
−0.972544 | + | 0.232721i | \(0.925237\pi\) | |||||||
\(48\) | −137.166 | + | 109.386i | −0.412461 | + | 0.328927i | ||||
\(49\) | 83.7295 | + | 40.3220i | 0.244109 | + | 0.117557i | ||||
\(50\) | −421.169 | − | 335.871i | −1.19124 | − | 0.949986i | ||||
\(51\) | −99.6857 | + | 125.002i | −0.273702 | + | 0.343211i | ||||
\(52\) | −411.330 | − | 93.8833i | −1.09695 | − | 0.250371i | ||||
\(53\) | −192.651 | + | 92.7757i | −0.499295 | + | 0.240448i | −0.666542 | − | 0.745467i | \(-0.732226\pi\) |
0.167248 | + | 0.985915i | \(0.446512\pi\) | |||||||
\(54\) | 526.376 | + | 253.489i | 1.32650 | + | 0.638806i | ||||
\(55\) | −11.5003 | + | 50.3863i | −0.0281947 | + | 0.123529i | ||||
\(56\) | 86.1502 | + | 178.893i | 0.205577 | + | 0.426885i | ||||
\(57\) | −294.797 | − | 67.2855i | −0.685032 | − | 0.156354i | ||||
\(58\) | −341.918 | − | 710.000i | −0.774070 | − | 1.60737i | ||||
\(59\) | 19.3182 | + | 84.6386i | 0.0426274 | + | 0.186763i | 0.991759 | − | 0.128116i | \(-0.0408931\pi\) |
−0.949132 | + | 0.314879i | \(0.898036\pi\) | |||||||
\(60\) | 13.4010 | − | 58.7135i | 0.0288343 | − | 0.126331i | ||||
\(61\) | −11.4963 | − | 50.3687i | −0.0241304 | − | 0.105722i | 0.961429 | − | 0.275055i | \(-0.0886960\pi\) |
−0.985559 | + | 0.169333i | \(0.945839\pi\) | |||||||
\(62\) | 1015.25 | − | 488.920i | 2.07963 | − | 1.00150i | ||||
\(63\) | 20.3725 | − | 25.5463i | 0.0407412 | − | 0.0510878i | ||||
\(64\) | −175.994 | + | 771.080i | −0.343738 | + | 1.50602i | ||||
\(65\) | −35.8114 | + | 17.2459i | −0.0683363 | + | 0.0329090i | ||||
\(66\) | 1150.88 | − | 262.680i | 2.14641 | − | 0.489905i | ||||
\(67\) | 448.017 | − | 357.281i | 0.816925 | − | 0.651476i | −0.123171 | − | 0.992385i | \(-0.539306\pi\) |
0.940096 | + | 0.340910i | \(0.110735\pi\) | |||||||
\(68\) | 322.922i | 0.575883i | ||||||||
\(69\) | 851.734i | 1.48604i | ||||||||
\(70\) | 63.5222 | + | 30.5907i | 0.108462 | + | 0.0522326i | ||||
\(71\) | −199.925 | + | 415.149i | −0.334180 | + | 0.693932i | −0.998570 | − | 0.0534539i | \(-0.982977\pi\) |
0.664390 | + | 0.747386i | \(0.268691\pi\) | |||||||
\(72\) | −25.2938 | + | 5.77314i | −0.0414014 | + | 0.00944959i | ||||
\(73\) | 450.541 | − | 359.294i | 0.722354 | − | 0.576058i | −0.191796 | − | 0.981435i | \(-0.561431\pi\) |
0.914150 | + | 0.405377i | \(0.132860\pi\) | |||||||
\(74\) | 1359.20 | + | 1083.93i | 2.13519 | + | 1.70276i | ||||
\(75\) | 289.939 | + | 602.064i | 0.446390 | + | 0.926938i | ||||
\(76\) | −550.243 | + | 264.983i | −0.830489 | + | 0.399942i | ||||
\(77\) | 796.684i | 1.17910i | ||||||||
\(78\) | 709.809 | + | 566.054i | 1.03039 | + | 0.821705i | ||||
\(79\) | −518.431 | − | 1076.53i | −0.738330 | − | 1.53316i | −0.842558 | − | 0.538605i | \(-0.818951\pi\) |
0.104228 | − | 0.994553i | \(-0.466763\pi\) | |||||||
\(80\) | 14.4842 | + | 30.0767i | 0.0202422 | + | 0.0420334i | ||||
\(81\) | −486.646 | − | 610.235i | −0.667553 | − | 0.837085i | ||||
\(82\) | 1063.38 | + | 242.709i | 1.43208 | + | 0.326862i | ||||
\(83\) | 1393.52 | 1.84287 | 0.921435 | − | 0.388533i | \(-0.127018\pi\) | ||||
0.921435 | + | 0.388533i | \(0.127018\pi\) | |||||||
\(84\) | − | 928.350i | − | 1.20585i | ||||||
\(85\) | 18.9680 | + | 23.7851i | 0.0242043 | + | 0.0303512i | ||||
\(86\) | −87.8246 | − | 182.370i | −0.110121 | − | 0.228668i | ||||
\(87\) | 977.549i | 1.20465i | ||||||||
\(88\) | 394.404 | − | 494.567i | 0.477768 | − | 0.599102i | ||||
\(89\) | 438.775 | + | 100.147i | 0.522585 | + | 0.119277i | 0.475672 | − | 0.879622i | \(-0.342205\pi\) |
0.0469122 | + | 0.998899i | \(0.485062\pi\) | |||||||
\(90\) | −5.74385 | + | 7.20256i | −0.00672728 | + | 0.00843574i | ||||
\(91\) | −479.039 | + | 382.021i | −0.551834 | + | 0.440073i | ||||
\(92\) | 1072.57 | + | 1344.97i | 1.21547 | + | 1.52416i | ||||
\(93\) | −1397.83 | −1.55858 | ||||||||
\(94\) | 929.379 | + | 741.155i | 1.01977 | + | 0.813238i | ||||
\(95\) | −24.9639 | + | 51.8380i | −0.0269604 | + | 0.0559838i | ||||
\(96\) | 813.059 | − | 1019.54i | 0.864400 | − | 1.08392i | ||||
\(97\) | −994.857 | − | 479.098i | −1.04137 | − | 0.501495i | −0.166591 | − | 0.986026i | \(-0.553276\pi\) |
−0.874774 | + | 0.484531i | \(0.838990\pi\) | |||||||
\(98\) | −393.773 | − | 89.8761i | −0.405889 | − | 0.0926414i | ||||
\(99\) | −101.488 | − | 23.1641i | −0.103030 | − | 0.0235159i | ||||
\(100\) | 1216.01 | + | 585.599i | 1.21601 | + | 0.585599i | ||||
\(101\) | 690.668 | − | 866.070i | 0.680436 | − | 0.853239i | −0.314959 | − | 0.949105i | \(-0.601991\pi\) |
0.995394 | + | 0.0958660i | \(0.0305620\pi\) | |||||||
\(102\) | 301.496 | − | 626.063i | 0.292672 | − | 0.607740i | ||||
\(103\) | −404.585 | − | 322.646i | −0.387039 | − | 0.308653i | 0.410569 | − | 0.911829i | \(-0.365330\pi\) |
−0.797608 | + | 0.603176i | \(0.793901\pi\) | |||||||
\(104\) | 486.501 | 0.458705 | ||||||||
\(105\) | −54.5299 | − | 68.3784i | −0.0506817 | − | 0.0635528i | ||||
\(106\) | 726.572 | − | 579.422i | 0.665763 | − | 0.530929i | ||||
\(107\) | −892.321 | + | 1118.93i | −0.806205 | + | 1.01095i | 0.193351 | + | 0.981130i | \(0.438064\pi\) |
−0.999555 | + | 0.0298189i | \(0.990507\pi\) | |||||||
\(108\) | −1427.06 | − | 325.718i | −1.27147 | − | 0.290206i | ||||
\(109\) | −731.741 | + | 917.574i | −0.643010 | + | 0.806309i | −0.991376 | − | 0.131050i | \(-0.958165\pi\) |
0.348366 | + | 0.937359i | \(0.386737\pi\) | |||||||
\(110\) | − | 224.618i | − | 0.194695i | ||||||
\(111\) | −935.696 | − | 1942.99i | −0.800111 | − | 1.66145i | ||||
\(112\) | 320.845 | + | 402.327i | 0.270687 | + | 0.339431i | ||||
\(113\) | − | 1191.00i | − | 0.991504i | −0.868464 | − | 0.495752i | \(-0.834892\pi\) | ||
0.868464 | − | 0.495752i | \(-0.165108\pi\) | |||||||
\(114\) | 1314.18 | 1.07969 | ||||||||
\(115\) | 158.003 | + | 36.0631i | 0.128120 | + | 0.0292426i | ||||
\(116\) | 1231.01 | + | 1543.64i | 0.985315 | + | 1.23555i | ||||
\(117\) | −34.7367 | − | 72.1315i | −0.0274480 | − | 0.0569963i | ||||
\(118\) | −163.710 | − | 339.947i | −0.127718 | − | 0.265209i | ||||
\(119\) | 366.649 | + | 292.393i | 0.282443 | + | 0.225240i | ||||
\(120\) | 69.4435i | 0.0528275i | ||||||||
\(121\) | 1087.59 | − | 523.757i | 0.817124 | − | 0.393506i | ||||
\(122\) | 97.4241 | + | 202.303i | 0.0722981 | + | 0.150128i | ||||
\(123\) | −1057.83 | − | 843.594i | −0.775461 | − | 0.618409i | ||||
\(124\) | −2207.30 | + | 1760.26i | −1.59856 | + | 1.27481i | ||||
\(125\) | 248.979 | − | 56.8279i | 0.178155 | − | 0.0406627i | ||||
\(126\) | −61.6159 | + | 127.947i | −0.0435649 | + | 0.0904635i | ||||
\(127\) | 816.093 | + | 393.010i | 0.570209 | + | 0.274598i | 0.696692 | − | 0.717371i | \(-0.254655\pi\) |
−0.126483 | + | 0.991969i | \(0.540369\pi\) | |||||||
\(128\) | − | 1502.38i | − | 1.03745i | ||||||
\(129\) | 251.092i | 0.171375i | ||||||||
\(130\) | 135.061 | − | 107.707i | 0.0911201 | − | 0.0726659i | ||||
\(131\) | 1085.35 | − | 247.725i | 0.723876 | − | 0.165220i | 0.155320 | − | 0.987864i | \(-0.450359\pi\) |
0.568557 | + | 0.822644i | \(0.307502\pi\) | |||||||
\(132\) | −2664.71 | + | 1283.26i | −1.75707 | + | 0.846161i | ||||
\(133\) | −197.358 | + | 864.683i | −0.128670 | + | 0.563740i | ||||
\(134\) | −1552.80 | + | 1947.15i | −1.00105 | + | 1.25528i | ||||
\(135\) | −124.244 | + | 59.8326i | −0.0792088 | + | 0.0381450i | ||||
\(136\) | −82.8580 | − | 363.025i | −0.0522427 | − | 0.228890i | ||||
\(137\) | −658.729 | + | 2886.08i | −0.410796 | + | 1.79981i | 0.169638 | + | 0.985506i | \(0.445740\pi\) |
−0.580434 | + | 0.814308i | \(0.697117\pi\) | |||||||
\(138\) | −823.720 | − | 3608.95i | −0.508114 | − | 2.22619i | ||||
\(139\) | −788.623 | − | 1637.59i | −0.481224 | − | 0.999272i | −0.990351 | − | 0.138581i | \(-0.955746\pi\) |
0.509127 | − | 0.860691i | \(-0.329968\pi\) | |||||||
\(140\) | −172.215 | − | 39.3070i | −0.103963 | − | 0.0237289i | ||||
\(141\) | −639.799 | − | 1328.56i | −0.382133 | − | 0.793507i | ||||
\(142\) | 445.626 | − | 1952.41i | 0.263353 | − | 1.15382i | ||||
\(143\) | 1758.72 | + | 846.954i | 1.02847 | + | 0.495286i | ||||
\(144\) | −60.5806 | + | 29.1741i | −0.0350582 | + | 0.0168831i | ||||
\(145\) | 181.342 | + | 41.3902i | 0.103860 | + | 0.0237053i | ||||
\(146\) | −1561.55 | + | 1958.12i | −0.885168 | + | 1.10997i | ||||
\(147\) | 391.721 | + | 312.387i | 0.219786 | + | 0.175274i | ||||
\(148\) | −3924.33 | − | 1889.86i | −2.17958 | − | 1.04963i | ||||
\(149\) | −692.160 | + | 551.979i | −0.380563 | + | 0.303489i | −0.795024 | − | 0.606578i | \(-0.792542\pi\) |
0.414460 | + | 0.910067i | \(0.363970\pi\) | |||||||
\(150\) | −1810.79 | − | 2270.65i | −0.985667 | − | 1.23599i | ||||
\(151\) | −293.828 | − | 610.140i | −0.158354 | − | 0.328825i | 0.806664 | − | 0.591011i | \(-0.201271\pi\) |
−0.965017 | + | 0.262186i | \(0.915557\pi\) | |||||||
\(152\) | 550.584 | − | 439.076i | 0.293804 | − | 0.234301i | ||||
\(153\) | −47.9081 | + | 38.2054i | −0.0253146 | + | 0.0201877i | ||||
\(154\) | −770.480 | − | 3375.69i | −0.403163 | − | 1.76637i | ||||
\(155\) | −59.1852 | + | 259.307i | −0.0306701 | + | 0.134375i | ||||
\(156\) | −2049.38 | − | 986.928i | −1.05180 | − | 0.506522i | ||||
\(157\) | 354.411 | + | 1552.78i | 0.180160 | + | 0.789331i | 0.981553 | + | 0.191193i | \(0.0612356\pi\) |
−0.801393 | + | 0.598138i | \(0.795907\pi\) | |||||||
\(158\) | 3237.81 | + | 4060.09i | 1.63030 | + | 2.04433i | ||||
\(159\) | −1123.90 | + | 256.523i | −0.560573 | + | 0.127947i | ||||
\(160\) | −154.707 | − | 193.996i | −0.0764416 | − | 0.0958547i | ||||
\(161\) | 2498.26 | 1.22292 | ||||||||
\(162\) | 2652.17 | + | 2115.04i | 1.28626 | + | 1.02576i | ||||
\(163\) | −327.912 | + | 1436.68i | −0.157571 | + | 0.690362i | 0.832990 | + | 0.553288i | \(0.186627\pi\) |
−0.990561 | + | 0.137074i | \(0.956230\pi\) | |||||||
\(164\) | −2732.74 | −1.30117 | ||||||||
\(165\) | −120.895 | + | 251.041i | −0.0570403 | + | 0.118445i | ||||
\(166\) | −5904.58 | + | 1347.68i | −2.76075 | + | 0.630123i | ||||
\(167\) | 1260.59 | − | 2617.64i | 0.584115 | − | 1.21293i | −0.374235 | − | 0.927334i | \(-0.622095\pi\) |
0.958351 | − | 0.285594i | \(-0.0921910\pi\) | |||||||
\(168\) | 238.204 | + | 1043.64i | 0.109392 | + | 0.479276i | ||||
\(169\) | −154.815 | − | 678.289i | −0.0704666 | − | 0.308734i | ||||
\(170\) | −103.374 | − | 82.4376i | −0.0466376 | − | 0.0371922i | ||||
\(171\) | −104.412 | − | 50.2824i | −0.0466936 | − | 0.0224865i | ||||
\(172\) | 316.196 | + | 396.497i | 0.140173 | + | 0.175771i | ||||
\(173\) | −1347.73 | + | 649.033i | −0.592289 | + | 0.285231i | −0.705920 | − | 0.708292i | \(-0.749466\pi\) |
0.113631 | + | 0.993523i | \(0.463752\pi\) | |||||||
\(174\) | −945.397 | − | 4142.05i | −0.411899 | − | 1.80465i | ||||
\(175\) | 1765.94 | − | 850.433i | 0.762815 | − | 0.367352i | ||||
\(176\) | 711.325 | − | 1477.08i | 0.304648 | − | 0.632609i | ||||
\(177\) | 468.048i | 0.198761i | ||||||||
\(178\) | −1956.02 | −0.823652 | ||||||||
\(179\) | −403.308 | − | 92.0524i | −0.168406 | − | 0.0384375i | 0.137486 | − | 0.990504i | \(-0.456098\pi\) |
−0.305892 | + | 0.952066i | \(0.598955\pi\) | |||||||
\(180\) | 10.0145 | − | 20.7954i | 0.00414689 | − | 0.00861110i | ||||
\(181\) | 1271.85 | − | 1594.85i | 0.522298 | − | 0.654941i | −0.448797 | − | 0.893634i | \(-0.648147\pi\) |
0.971095 | + | 0.238693i | \(0.0767189\pi\) | |||||||
\(182\) | 1660.32 | − | 2081.97i | 0.676214 | − | 0.847946i | ||||
\(183\) | − | 278.537i | − | 0.112514i | ||||||
\(184\) | −1550.88 | − | 1236.78i | −0.621370 | − | 0.495526i | ||||
\(185\) | −400.057 | + | 91.3104i | −0.158988 | + | 0.0362880i | ||||
\(186\) | 5922.86 | − | 1351.85i | 2.33487 | − | 0.532918i | ||||
\(187\) | 332.458 | − | 1456.60i | 0.130009 | − | 0.569609i | ||||
\(188\) | −2683.33 | − | 1292.22i | −1.04097 | − | 0.501303i | ||||
\(189\) | −1661.97 | + | 1325.38i | −0.639633 | + | 0.510090i | ||||
\(190\) | 55.6434 | − | 243.790i | 0.0212463 | − | 0.0930862i | ||||
\(191\) | −2370.52 | −0.898034 | −0.449017 | − | 0.893523i | \(-0.648226\pi\) | ||||
−0.449017 | + | 0.893523i | \(0.648226\pi\) | |||||||
\(192\) | −1850.10 | + | 3841.77i | −0.695413 | + | 1.44404i | ||||
\(193\) | −402.075 | + | 193.629i | −0.149959 | + | 0.0722162i | −0.507358 | − | 0.861735i | \(-0.669378\pi\) |
0.357399 | + | 0.933952i | \(0.383664\pi\) | |||||||
\(194\) | 4678.73 | + | 1067.89i | 1.73151 | + | 0.395206i | ||||
\(195\) | −208.919 | + | 47.6845i | −0.0767232 | + | 0.0175116i | ||||
\(196\) | 1011.95 | 0.368785 | ||||||||
\(197\) | −735.171 | + | 2665.50i | −0.265882 | + | 0.964006i | ||||
\(198\) | 452.427 | 0.162387 | ||||||||
\(199\) | 2858.80 | − | 652.502i | 1.01837 | − | 0.232435i | 0.319423 | − | 0.947612i | \(-0.396511\pi\) |
0.698943 | + | 0.715177i | \(0.253654\pi\) | |||||||
\(200\) | −1517.28 | − | 346.309i | −0.536439 | − | 0.122439i | ||||
\(201\) | 2783.46 | − | 1340.45i | 0.976768 | − | 0.470387i | ||||
\(202\) | −2088.90 | + | 4337.65i | −0.727597 | + | 1.51087i | ||||
\(203\) | 2867.29 | 0.991353 | ||||||||
\(204\) | −387.403 | + | 1697.32i | −0.132959 | + | 0.582532i | ||||
\(205\) | −201.282 | + | 160.517i | −0.0685764 | + | 0.0546878i | ||||
\(206\) | 2026.34 | + | 975.832i | 0.685347 | + | 0.330046i | ||||
\(207\) | −72.6385 | + | 318.250i | −0.0243900 | + | 0.106859i | ||||
\(208\) | 1229.25 | − | 280.567i | 0.409773 | − | 0.0935281i | ||||
\(209\) | 2754.77 | − | 628.759i | 0.911730 | − | 0.208096i | ||||
\(210\) | 297.183 | + | 236.995i | 0.0976550 | + | 0.0778773i | ||||
\(211\) | 2632.60i | 0.858937i | 0.903082 | + | 0.429468i | \(0.141299\pi\) | ||||
−0.903082 | + | 0.429468i | \(0.858701\pi\) | |||||||
\(212\) | −1451.71 | + | 1820.38i | −0.470300 | + | 0.589738i | ||||
\(213\) | −1548.88 | + | 1942.24i | −0.498252 | + | 0.624788i | ||||
\(214\) | 2698.79 | − | 5604.10i | 0.862083 | − | 1.79013i | ||||
\(215\) | 46.5793 | + | 10.6314i | 0.0147753 | + | 0.00337236i | ||||
\(216\) | 1687.86 | 0.531687 | ||||||||
\(217\) | 4100.04i | 1.28262i | ||||||||
\(218\) | 2213.12 | − | 4595.60i | 0.687577 | − | 1.42777i | ||||
\(219\) | 2799.15 | − | 1348.00i | 0.863693 | − | 0.415933i | ||||
\(220\) | 125.227 | + | 548.657i | 0.0383765 | + | 0.168138i | ||||
\(221\) | 1035.26 | − | 498.553i | 0.315108 | − | 0.151748i | ||||
\(222\) | 5843.80 | + | 7327.89i | 1.76671 | + | 2.21539i | ||||
\(223\) | −3913.30 | − | 1884.55i | −1.17513 | − | 0.565913i | −0.258642 | − | 0.965973i | \(-0.583275\pi\) |
−0.916489 | + | 0.400060i | \(0.868989\pi\) | |||||||
\(224\) | −2990.47 | − | 2384.82i | −0.892005 | − | 0.711350i | ||||
\(225\) | 56.9896 | + | 249.688i | 0.0168858 | + | 0.0739815i | ||||
\(226\) | 1151.83 | + | 5046.49i | 0.339020 | + | 1.48534i | ||||
\(227\) | −1766.26 | + | 3667.68i | −0.516435 | + | 1.07239i | 0.465827 | + | 0.884876i | \(0.345757\pi\) |
−0.982262 | + | 0.187513i | \(0.939957\pi\) | |||||||
\(228\) | −3210.05 | + | 732.673i | −0.932415 | + | 0.212818i | ||||
\(229\) | 1249.01 | − | 2593.60i | 0.360423 | − | 0.748427i | −0.639367 | − | 0.768902i | \(-0.720804\pi\) |
0.999790 | + | 0.0204749i | \(0.00651781\pi\) | |||||||
\(230\) | −704.363 | −0.201932 | ||||||||
\(231\) | −955.765 | + | 4187.48i | −0.272228 | + | 1.19271i | ||||
\(232\) | −1779.97 | − | 1419.48i | −0.503709 | − | 0.401694i | ||||
\(233\) | 1463.97 | 0.411622 | 0.205811 | − | 0.978592i | \(-0.434017\pi\) | ||||
0.205811 | + | 0.978592i | \(0.434017\pi\) | |||||||
\(234\) | 216.945 | + | 272.040i | 0.0606074 | + | 0.0759993i | ||||
\(235\) | −273.546 | + | 62.4351i | −0.0759326 | + | 0.0173311i | ||||
\(236\) | 589.405 | + | 739.091i | 0.162572 | + | 0.203859i | ||||
\(237\) | −1433.45 | − | 6280.37i | −0.392881 | − | 1.72132i | ||||
\(238\) | −1836.33 | − | 884.332i | −0.500134 | − | 0.240852i | ||||
\(239\) | 566.141 | − | 2480.43i | 0.153224 | − | 0.671320i | −0.838711 | − | 0.544576i | \(-0.816690\pi\) |
0.991936 | − | 0.126743i | \(-0.0404524\pi\) | |||||||
\(240\) | 40.0484 | + | 175.464i | 0.0107713 | + | 0.0471922i | ||||
\(241\) | 2137.04 | − | 1704.23i | 0.571199 | − | 0.455516i | −0.294802 | − | 0.955558i | \(-0.595254\pi\) |
0.866001 | + | 0.500042i | \(0.166682\pi\) | |||||||
\(242\) | −4101.80 | + | 3271.07i | −1.08956 | + | 0.868895i | ||||
\(243\) | −251.017 | − | 521.243i | −0.0662666 | − | 0.137604i | ||||
\(244\) | −350.757 | − | 439.835i | −0.0920283 | − | 0.115400i | ||||
\(245\) | 74.5357 | − | 59.4403i | 0.0194364 | − | 0.0155000i | ||||
\(246\) | 5298.08 | + | 2551.42i | 1.37314 | + | 0.661271i | ||||
\(247\) | 1699.02 | + | 1354.92i | 0.437676 | + | 0.349035i | ||||
\(248\) | 2029.75 | − | 2545.23i | 0.519716 | − | 0.651703i | ||||
\(249\) | 7324.52 | + | 1671.77i | 1.86415 | + | 0.425479i | ||||
\(250\) | −1000.01 | + | 481.580i | −0.252985 | + | 0.121831i | ||||
\(251\) | −4200.43 | − | 2022.82i | −1.05629 | − | 0.508683i | −0.176627 | − | 0.984278i | \(-0.556518\pi\) |
−0.879664 | + | 0.475595i | \(0.842233\pi\) | |||||||
\(252\) | 79.1725 | − | 346.877i | 0.0197913 | − | 0.0867112i | ||||
\(253\) | −3453.35 | − | 7170.95i | −0.858143 | − | 1.78195i | ||||
\(254\) | −3838.02 | − | 876.003i | −0.948105 | − | 0.216399i | ||||
\(255\) | 71.1639 | + | 147.773i | 0.0174763 | + | 0.0362899i | ||||
\(256\) | 45.0151 | + | 197.224i | 0.0109900 | + | 0.0481504i | ||||
\(257\) | 78.4996 | − | 343.929i | 0.0190532 | − | 0.0834775i | −0.964507 | − | 0.264056i | \(-0.914940\pi\) |
0.983561 | + | 0.180578i | \(0.0577969\pi\) | |||||||
\(258\) | −242.833 | − | 1063.92i | −0.0585974 | − | 0.256732i | ||||
\(259\) | −5699.08 | + | 2744.53i | −1.36727 | + | 0.658444i | ||||
\(260\) | −269.854 | + | 338.387i | −0.0643679 | + | 0.0807148i | ||||
\(261\) | −83.3684 | + | 365.261i | −0.0197715 | + | 0.0866248i | ||||
\(262\) | −4359.27 | + | 2099.31i | −1.02792 | + | 0.495023i | ||||
\(263\) | −6163.95 | + | 1406.88i | −1.44519 | + | 0.329855i | −0.871976 | − | 0.489549i | \(-0.837161\pi\) |
−0.573215 | + | 0.819405i | \(0.694304\pi\) | |||||||
\(264\) | 2666.37 | − | 2126.36i | 0.621604 | − | 0.495713i | ||||
\(265\) | 219.353i | 0.0508481i | ||||||||
\(266\) | − | 3854.68i | − | 0.888518i | ||||||
\(267\) | 2186.12 | + | 1052.78i | 0.501080 | + | 0.241307i | ||||
\(268\) | 2707.34 | − | 5621.85i | 0.617079 | − | 1.28138i | ||||
\(269\) | −2210.56 | + | 504.547i | −0.501043 | + | 0.114360i | −0.465570 | − | 0.885011i | \(-0.654151\pi\) |
−0.0354725 | + | 0.999371i | \(0.511294\pi\) | |||||||
\(270\) | 468.578 | − | 373.679i | 0.105618 | − | 0.0842273i | ||||
\(271\) | 2904.97 | + | 2316.64i | 0.651160 | + | 0.519283i | 0.892436 | − | 0.451174i | \(-0.148994\pi\) |
−0.241276 | + | 0.970457i | \(0.577566\pi\) | |||||||
\(272\) | −418.716 | − | 869.473i | −0.0933397 | − | 0.193822i | ||||
\(273\) | −2976.20 | + | 1433.26i | −0.659808 | + | 0.317747i | ||||
\(274\) | − | 12865.9i | − | 2.83671i | ||||||
\(275\) | −4882.12 | − | 3893.36i | −1.07056 | − | 0.853741i | ||||
\(276\) | 4024.07 | + | 8356.08i | 0.877612 | + | 1.82238i | ||||
\(277\) | 1036.03 | + | 2151.34i | 0.224726 | + | 0.466648i | 0.982596 | − | 0.185758i | \(-0.0594740\pi\) |
−0.757870 | + | 0.652406i | \(0.773760\pi\) | |||||||
\(278\) | 4925.27 | + | 6176.10i | 1.06258 | + | 1.33244i | ||||
\(279\) | −522.298 | − | 119.211i | −0.112076 | − | 0.0255806i | ||||
\(280\) | 203.688 | 0.0434739 | ||||||||
\(281\) | − | 1440.43i | − | 0.305797i | −0.988242 | − | 0.152898i | \(-0.951139\pi\) | ||
0.988242 | − | 0.152898i | \(-0.0488607\pi\) | |||||||
\(282\) | 3995.80 | + | 5010.58i | 0.843782 | + | 1.05807i | ||||
\(283\) | 3752.62 | + | 7792.39i | 0.788233 | + | 1.63678i | 0.770920 | + | 0.636932i | \(0.219797\pi\) |
0.0173126 | + | 0.999850i | \(0.494489\pi\) | |||||||
\(284\) | 5017.45i | 1.04835i | ||||||||
\(285\) | −193.403 | + | 242.519i | −0.0401971 | + | 0.0504056i | ||||
\(286\) | −8271.11 | − | 1887.83i | −1.71007 | − | 0.390313i | ||||
\(287\) | −2474.39 | + | 3102.78i | −0.508914 | + | 0.638158i | ||||
\(288\) | 390.749 | − | 311.612i | 0.0799482 | − | 0.0637566i | ||||
\(289\) | 2514.87 | + | 3153.55i | 0.511880 | + | 0.641878i | ||||
\(290\) | −808.409 | −0.163695 | ||||||||
\(291\) | −4654.35 | − | 3711.72i | −0.937604 | − | 0.747714i | ||||
\(292\) | 2722.60 | − | 5653.53i | 0.545643 | − | 1.13304i | ||||
\(293\) | 2511.42 | − | 3149.22i | 0.500746 | − | 0.627916i | −0.465651 | − | 0.884968i | \(-0.654180\pi\) |
0.966397 | + | 0.257052i | \(0.0827513\pi\) | |||||||
\(294\) | −1961.90 | − | 944.804i | −0.389186 | − | 0.187422i | ||||
\(295\) | 86.8263 | + | 19.8175i | 0.0171363 | + | 0.00391126i | ||||
\(296\) | 4896.59 | + | 1117.61i | 0.961515 | + | 0.219460i | ||||
\(297\) | 6101.68 | + | 2938.41i | 1.19210 | + | 0.574087i | ||||
\(298\) | 2398.98 | − | 3008.23i | 0.466340 | − | 0.584772i | ||||
\(299\) | 2655.90 | − | 5515.03i | 0.513695 | − | 1.06670i | ||||
\(300\) | 5688.98 | + | 4536.81i | 1.09485 | + | 0.873110i | ||||
\(301\) | 736.489 | 0.141032 | ||||||||
\(302\) | 1835.08 | + | 2301.11i | 0.349658 | + | 0.438457i | ||||
\(303\) | 4669.26 | − | 3723.61i | 0.885286 | − | 0.705992i | ||||
\(304\) | 1137.95 | − | 1426.94i | 0.214690 | − | 0.269213i | ||||
\(305\) | −51.6706 | − | 11.7935i | −0.00970049 | − | 0.00221407i | ||||
\(306\) | 166.046 | − | 208.216i | 0.0310204 | − | 0.0388983i | ||||
\(307\) | 3168.79i | 0.589096i | 0.955637 | + | 0.294548i | \(0.0951691\pi\) | ||||
−0.955637 | + | 0.294548i | \(0.904831\pi\) | |||||||
\(308\) | 3763.98 | + | 7815.99i | 0.696341 | + | 1.44597i | ||||
\(309\) | −1739.49 | − | 2181.25i | −0.320246 | − | 0.401575i | ||||
\(310\) | − | 1155.97i | − | 0.211789i | ||||||
\(311\) | −5137.06 | −0.936642 | −0.468321 | − | 0.883558i | \(-0.655141\pi\) | ||||
−0.468321 | + | 0.883558i | \(0.655141\pi\) | |||||||
\(312\) | 2557.12 | + | 583.645i | 0.464001 | + | 0.105905i | ||||
\(313\) | 1349.15 | + | 1691.78i | 0.243637 | + | 0.305511i | 0.888582 | − | 0.458718i | \(-0.151691\pi\) |
−0.644945 | + | 0.764229i | \(0.723120\pi\) | |||||||
\(314\) | −3003.41 | − | 6236.64i | −0.539784 | − | 1.12087i | ||||
\(315\) | −14.5436 | − | 30.2000i | −0.00260139 | − | 0.00540184i | ||||
\(316\) | −10172.3 | − | 8112.15i | −1.81088 | − | 1.44413i | ||||
\(317\) | 1101.16i | 0.195102i | 0.995231 | + | 0.0975509i | \(0.0311009\pi\) | ||||
−0.995231 | + | 0.0975509i | \(0.968899\pi\) | |||||||
\(318\) | 4514.09 | − | 2173.87i | 0.796030 | − | 0.383348i | ||||
\(319\) | −3963.46 | − | 8230.21i | −0.695647 | − | 1.44453i | ||||
\(320\) | 634.341 | + | 505.870i | 0.110815 | + | 0.0883718i | ||||
\(321\) | −6032.53 | + | 4810.78i | −1.04892 | + | 0.836485i | ||||
\(322\) | −10585.6 | + | 2416.09i | −1.83202 | + | 0.418148i | ||||
\(323\) | 721.669 | − | 1498.56i | 0.124318 | − | 0.258149i | ||||
\(324\) | −7657.42 | − | 3687.62i | −1.31300 | − | 0.632308i | ||||
\(325\) | − | 4802.50i | − | 0.819676i | ||||||
\(326\) | − | 6404.58i | − | 1.08809i | ||||||
\(327\) | −4946.93 | + | 3945.04i | −0.836593 | + | 0.667160i | ||||
\(328\) | 3072.11 | − | 701.189i | 0.517161 | − | 0.118039i | ||||
\(329\) | −3896.85 | + | 1876.62i | −0.653010 | + | 0.314473i | ||||
\(330\) | 269.470 | − | 1180.62i | 0.0449510 | − | 0.196943i | ||||
\(331\) | −4985.19 | + | 6251.23i | −0.827827 | + | 1.03806i | 0.170780 | + | 0.985309i | \(0.445371\pi\) |
−0.998608 | + | 0.0527536i | \(0.983200\pi\) | |||||||
\(332\) | 13671.3 | − | 6583.76i | 2.25997 | − | 1.08835i | ||||
\(333\) | −183.918 | − | 805.797i | −0.0302662 | − | 0.132605i | ||||
\(334\) | −2809.80 | + | 12310.5i | −0.460316 | + | 2.01678i | ||||
\(335\) | −130.808 | − | 573.108i | −0.0213338 | − | 0.0934693i | ||||
\(336\) | 1203.74 | + | 2499.60i | 0.195445 | + | 0.405846i | ||||
\(337\) | −52.5997 | − | 12.0055i | −0.00850234 | − | 0.00194060i | 0.218268 | − | 0.975889i | \(-0.429959\pi\) |
−0.226770 | + | 0.973948i | \(0.572817\pi\) | |||||||
\(338\) | 1311.96 | + | 2724.31i | 0.211128 | + | 0.438411i | ||||
\(339\) | 1428.82 | − | 6260.07i | 0.228917 | − | 1.00295i | ||||
\(340\) | 298.463 | + | 143.732i | 0.0476071 | + | 0.0229264i | ||||
\(341\) | 11768.7 | − | 5667.48i | 1.86894 | − | 0.900034i | ||||
\(342\) | 491.043 | + | 112.077i | 0.0776390 | + | 0.0177206i | ||||
\(343\) | 4298.11 | − | 5389.66i | 0.676606 | − | 0.848438i | ||||
\(344\) | −457.199 | − | 364.604i | −0.0716585 | − | 0.0571458i | ||||
\(345\) | 787.221 | + | 379.105i | 0.122848 | + | 0.0591604i | ||||
\(346\) | 5082.89 | − | 4053.47i | 0.789763 | − | 0.629815i | ||||
\(347\) | −3373.29 | − | 4229.97i | −0.521866 | − | 0.654400i | 0.449138 | − | 0.893462i | \(-0.351731\pi\) |
−0.971004 | + | 0.239063i | \(0.923160\pi\) | |||||||
\(348\) | 4618.50 | + | 9590.41i | 0.711429 | + | 1.47730i | ||||
\(349\) | 4573.71 | − | 3647.41i | 0.701504 | − | 0.559431i | −0.206472 | − | 0.978453i | \(-0.566198\pi\) |
0.907976 | + | 0.419021i | \(0.137627\pi\) | |||||||
\(350\) | −6660.16 | + | 5311.30i | −1.01714 | + | 0.811145i | ||||
\(351\) | 1159.00 | + | 5077.89i | 0.176247 | + | 0.772187i | ||||
\(352\) | −2711.60 | + | 11880.3i | −0.410594 | + | 1.79893i | ||||
\(353\) | −1904.83 | − | 917.319i | −0.287207 | − | 0.138312i | 0.284734 | − | 0.958607i | \(-0.408095\pi\) |
−0.571940 | + | 0.820295i | \(0.693809\pi\) | |||||||
\(354\) | −452.654 | − | 1983.21i | −0.0679613 | − | 0.297758i | ||||
\(355\) | 294.718 | + | 369.565i | 0.0440620 | + | 0.0552520i | ||||
\(356\) | 4777.83 | − | 1090.51i | 0.711304 | − | 0.162350i | ||||
\(357\) | 1576.38 | + | 1976.72i | 0.233700 | + | 0.293051i | ||||
\(358\) | 1797.91 | 0.265427 | ||||||||
\(359\) | 8314.38 | + | 6630.50i | 1.22233 | + | 0.974775i | 1.00000 | 0.000196514i | \(-6.25524e-5\pi\) | |
0.222329 | + | 0.974972i | \(0.428634\pi\) | |||||||
\(360\) | −5.92235 | + | 25.9475i | −0.000867043 | + | 0.00379876i | ||||
\(361\) | −3713.34 | −0.541382 | ||||||||
\(362\) | −3846.67 | + | 7987.69i | −0.558499 | + | 1.15973i | ||||
\(363\) | 6344.88 | − | 1448.18i | 0.917410 | − | 0.209393i | ||||
\(364\) | −2894.81 | + | 6011.13i | −0.416838 | + | 0.865573i | ||||
\(365\) | −131.545 | − | 576.337i | −0.0188641 | − | 0.0826489i | ||||
\(366\) | 269.376 | + | 1180.21i | 0.0384713 | + | 0.168554i | ||||
\(367\) | 9864.97 | + | 7867.05i | 1.40313 | + | 1.11896i | 0.976743 | + | 0.214413i | \(0.0687837\pi\) |
0.426383 | + | 0.904543i | \(0.359788\pi\) | |||||||
\(368\) | −4631.87 | − | 2230.59i | −0.656122 | − | 0.315972i | ||||
\(369\) | −323.315 | − | 405.424i | −0.0456127 | − | 0.0571965i | ||||
\(370\) | 1606.81 | − | 773.797i | 0.225767 | − | 0.108724i | ||||
\(371\) | 752.420 | + | 3296.57i | 0.105293 | + | 0.461319i | ||||
\(372\) | −13713.6 | + | 6604.14i | −1.91134 | + | 0.920453i | ||||
\(373\) | 2778.11 | − | 5768.80i | 0.385643 | − | 0.800797i | −0.614288 | − | 0.789082i | \(-0.710557\pi\) |
0.999931 | − | 0.0117148i | \(-0.00372902\pi\) | |||||||
\(374\) | 6493.38i | 0.897767i | ||||||||
\(375\) | 1376.85 | 0.189600 | ||||||||
\(376\) | 3348.13 | + | 764.189i | 0.459220 | + | 0.104814i | ||||
\(377\) | 3048.22 | − | 6329.69i | 0.416423 | − | 0.864710i | ||||
\(378\) | 5760.29 | − | 7223.18i | 0.783802 | − | 0.982857i | ||||
\(379\) | −4941.82 | + | 6196.85i | −0.669774 | + | 0.839870i | −0.994368 | − | 0.105984i | \(-0.966201\pi\) |
0.324594 | + | 0.945853i | \(0.394772\pi\) | |||||||
\(380\) | 626.509i | 0.0845769i | ||||||||
\(381\) | 3818.02 | + | 3044.77i | 0.513393 | + | 0.409418i | ||||
\(382\) | 10044.3 | − | 2292.55i | 1.34532 | − | 0.307060i | ||||
\(383\) | −8189.99 | + | 1869.31i | −1.09266 | + | 0.249392i | −0.730630 | − | 0.682774i | \(-0.760773\pi\) |
−0.362030 | + | 0.932166i | \(0.617916\pi\) | |||||||
\(384\) | 1802.38 | − | 7896.73i | 0.239524 | − | 1.04942i | ||||
\(385\) | 736.340 | + | 354.602i | 0.0974736 | + | 0.0469408i | ||||
\(386\) | 1516.40 | − | 1209.29i | 0.199956 | − | 0.159460i | ||||
\(387\) | −21.4139 | + | 93.8203i | −0.00281274 | + | 0.0123234i | ||||
\(388\) | −12023.7 | −1.57323 | ||||||||
\(389\) | 5899.51 | − | 12250.5i | 0.768939 | − | 1.59672i | −0.0331050 | − | 0.999452i | \(-0.510540\pi\) |
0.802044 | − | 0.597266i | \(-0.203746\pi\) | |||||||
\(390\) | 839.113 | − | 404.096i | 0.108949 | − | 0.0524671i | ||||
\(391\) | −4567.63 | − | 1042.53i | −0.590780 | − | 0.134842i | ||||
\(392\) | −1137.62 | + | 259.654i | −0.146577 | + | 0.0334553i | ||||
\(393\) | 6001.97 | 0.770379 | ||||||||
\(394\) | 537.223 | − | 12005.2i | 0.0686926 | − | 1.53506i | ||||
\(395\) | −1225.75 | −0.156137 | ||||||||
\(396\) | −1105.11 | + | 252.234i | −0.140237 | + | 0.0320081i | ||||
\(397\) | 6933.50 | + | 1582.53i | 0.876530 | + | 0.200062i | 0.637034 | − | 0.770835i | \(-0.280161\pi\) |
0.239495 | + | 0.970898i | \(0.423018\pi\) | |||||||
\(398\) | −11482.2 | + | 5529.54i | −1.44611 | + | 0.696409i | ||||
\(399\) | −2074.69 | + | 4308.13i | −0.260311 | + | 0.540542i | ||||
\(400\) | −4033.44 | −0.504180 | ||||||||
\(401\) | −82.1972 | + | 360.130i | −0.0102362 | + | 0.0448479i | −0.979788 | − | 0.200038i | \(-0.935893\pi\) |
0.969552 | + | 0.244886i | \(0.0787505\pi\) | |||||||
\(402\) | −10497.7 | + | 8371.62i | −1.30243 | + | 1.03865i | ||||
\(403\) | 9051.04 | + | 4358.75i | 1.11877 | + | 0.538771i | ||||
\(404\) | 2684.10 | − | 11759.8i | 0.330542 | − | 1.44820i | ||||
\(405\) | −780.619 | + | 178.171i | −0.0957759 | + | 0.0218602i | ||||
\(406\) | −12149.3 | + | 2772.99i | −1.48512 | + | 0.338968i | ||||
\(407\) | 15755.7 | + | 12564.7i | 1.91887 | + | 1.53025i | ||||
\(408\) | − | 2007.51i | − | 0.243595i | ||||||
\(409\) | −3161.38 | + | 3964.24i | −0.382201 | + | 0.479265i | −0.935303 | − | 0.353849i | \(-0.884873\pi\) |
0.553102 | + | 0.833114i | \(0.313444\pi\) | |||||||
\(410\) | 697.632 | − | 874.803i | 0.0840331 | − | 0.105374i | ||||
\(411\) | −6924.75 | + | 14379.4i | −0.831077 | + | 1.72575i | ||||
\(412\) | −5493.61 | − | 1253.88i | −0.656920 | − | 0.149938i | ||||
\(413\) | 1372.85 | 0.163568 | ||||||||
\(414\) | − | 1418.73i | − | 0.168422i | ||||||
\(415\) | 620.251 | − | 1287.97i | 0.0733661 | − | 0.152346i | ||||
\(416\) | −8443.77 | + | 4066.31i | −0.995169 | + | 0.479248i | ||||
\(417\) | −2180.53 | − | 9553.52i | −0.256069 | − | 1.12191i | ||||
\(418\) | −11064.4 | + | 5328.33i | −1.29468 | + | 0.623486i | ||||
\(419\) | −9872.17 | − | 12379.3i | −1.15104 | − | 1.44336i | −0.876248 | − | 0.481860i | \(-0.839962\pi\) |
−0.274795 | − | 0.961503i | \(-0.588610\pi\) | |||||||
\(420\) | −858.033 | − | 413.207i | −0.0996851 | − | 0.0480058i | ||||
\(421\) | −7304.82 | − | 5825.40i | −0.845642 | − | 0.674377i | 0.101625 | − | 0.994823i | \(-0.467596\pi\) |
−0.947267 | + | 0.320446i | \(0.896167\pi\) | |||||||
\(422\) | −2546.01 | − | 11154.8i | −0.293692 | − | 1.28675i | ||||
\(423\) | −125.757 | − | 550.978i | −0.0144551 | − | 0.0633321i | ||||
\(424\) | 1164.90 | − | 2418.94i | 0.133426 | − | 0.277062i | ||||
\(425\) | −3583.60 | + | 817.934i | −0.409012 | + | 0.0933544i | ||||
\(426\) | 4684.54 | − | 9727.55i | 0.532786 | − | 1.10634i | ||||
\(427\) | −816.990 | −0.0925923 | ||||||||
\(428\) | −3467.78 | + | 15193.3i | −0.391639 | + | 1.71588i | ||||
\(429\) | 8228.00 | + | 6561.61i | 0.925994 | + | 0.738456i | ||||
\(430\) | −207.647 | −0.0232875 | ||||||||
\(431\) | 664.734 | + | 833.550i | 0.0742903 | + | 0.0931571i | 0.817588 | − | 0.575804i | \(-0.195311\pi\) |
−0.743298 | + | 0.668961i | \(0.766739\pi\) | |||||||
\(432\) | 4264.73 | − | 973.397i | 0.474970 | − | 0.108409i | ||||
\(433\) | −9539.22 | − | 11961.8i | −1.05872 | − | 1.32759i | −0.942440 | − | 0.334376i | \(-0.891475\pi\) |
−0.116280 | − | 0.993217i | \(-0.537097\pi\) | |||||||
\(434\) | −3965.18 | − | 17372.6i | −0.438560 | − | 1.92146i | ||||
\(435\) | 903.506 | + | 435.105i | 0.0995857 | + | 0.0479580i | ||||
\(436\) | −2843.72 | + | 12459.2i | −0.312362 | + | 1.36855i | ||||
\(437\) | −1971.68 | − | 8638.49i | −0.215831 | − | 0.945618i | ||||
\(438\) | −10556.8 | + | 8418.79i | −1.15166 | + | 0.918414i | ||||
\(439\) | −2605.16 | + | 2077.54i | −0.283228 | + | 0.225867i | −0.754791 | − | 0.655966i | \(-0.772262\pi\) |
0.471562 | + | 0.881833i | \(0.343690\pi\) | |||||||
\(440\) | −281.558 | − | 584.661i | −0.0305063 | − | 0.0633469i | ||||
\(441\) | 119.725 | + | 150.130i | 0.0129279 | + | 0.0162110i | ||||
\(442\) | −3904.41 | + | 3113.67i | −0.420167 | + | 0.335072i | ||||
\(443\) | −5022.05 | − | 2418.49i | −0.538612 | − | 0.259382i | 0.144742 | − | 0.989469i | \(-0.453765\pi\) |
−0.683353 | + | 0.730088i | \(0.739479\pi\) | |||||||
\(444\) | −18359.6 | − | 14641.3i | −1.96240 | − | 1.56497i | ||||
\(445\) | 287.860 | − | 360.965i | 0.0306649 | − | 0.0384525i | ||||
\(446\) | 18403.9 | + | 4200.58i | 1.95393 | + | 0.445971i | ||||
\(447\) | −4300.29 | + | 2070.91i | −0.455026 | + | 0.219129i | ||||
\(448\) | 11268.5 | + | 5426.61i | 1.18836 | + | 0.572284i | ||||
\(449\) | 1579.70 | − | 6921.13i | 0.166037 | − | 0.727457i | −0.821518 | − | 0.570183i | \(-0.806872\pi\) |
0.987555 | − | 0.157274i | \(-0.0502706\pi\) | |||||||
\(450\) | −482.951 | − | 1002.86i | −0.0505922 | − | 0.105056i | ||||
\(451\) | 12326.5 | + | 2813.44i | 1.28699 | + | 0.293747i | ||||
\(452\) | −5626.97 | − | 11684.5i | −0.585554 | − | 1.21591i | ||||
\(453\) | −812.429 | − | 3559.48i | −0.0842632 | − | 0.369181i | ||||
\(454\) | 3936.92 | − | 17248.8i | 0.406980 | − | 1.78310i | ||||
\(455\) | 139.866 | + | 612.791i | 0.0144110 | + | 0.0631387i | ||||
\(456\) | 3420.70 | − | 1647.32i | 0.351291 | − | 0.169173i | ||||
\(457\) | 9878.06 | − | 12386.7i | 1.01111 | − | 1.26789i | 0.0479783 | − | 0.998848i | \(-0.484722\pi\) |
0.963129 | − | 0.269040i | \(-0.0867064\pi\) | |||||||
\(458\) | −2783.99 | + | 12197.5i | −0.284034 | + | 1.24443i | ||||
\(459\) | 3591.71 | − | 1729.67i | 0.365243 | − | 0.175892i | ||||
\(460\) | 1720.49 | − | 392.692i | 0.174388 | − | 0.0398029i | ||||
\(461\) | −8926.36 | + | 7118.53i | −0.901826 | + | 0.719182i | −0.960259 | − | 0.279109i | \(-0.909961\pi\) |
0.0584333 | + | 0.998291i | \(0.481389\pi\) | |||||||
\(462\) | − | 18667.5i | − | 1.87985i | ||||||
\(463\) | − | 12666.3i | − | 1.27139i | −0.771939 | − | 0.635696i | \(-0.780713\pi\) | ||
0.771939 | − | 0.635696i | \(-0.219287\pi\) | |||||||
\(464\) | −5316.07 | − | 2560.09i | −0.531880 | − | 0.256140i | ||||
\(465\) | −622.171 | + | 1291.95i | −0.0620484 | + | 0.128845i | ||||
\(466\) | −6203.11 | + | 1415.82i | −0.616638 | + | 0.140744i | ||||
\(467\) | −11190.1 | + | 8923.83i | −1.10882 | + | 0.884252i | −0.994027 | − | 0.109138i | \(-0.965191\pi\) |
−0.114790 | + | 0.993390i | \(0.536619\pi\) | |||||||
\(468\) | −681.580 | − | 543.542i | −0.0673207 | − | 0.0536864i | ||||
\(469\) | −3931.72 | − | 8164.31i | −0.387100 | − | 0.803822i | ||||
\(470\) | 1098.68 | − | 529.098i | 0.107826 | − | 0.0519265i | ||||
\(471\) | 8586.79i | 0.840039i | ||||||||
\(472\) | −852.244 | − | 679.642i | −0.0831095 | − | 0.0662776i | ||||
\(473\) | −1018.05 | − | 2114.00i | −0.0989640 | − | 0.205501i | ||||
\(474\) | 12147.6 | + | 25224.8i | 1.17713 | + | 2.44433i | ||||
\(475\) | −4334.34 | − | 5435.10i | −0.418681 | − | 0.525009i | ||||
\(476\) | 4978.50 | + | 1136.31i | 0.479389 | + | 0.109417i | ||||
\(477\) | −441.822 | −0.0424101 | ||||||||
\(478\) | 11057.5i | 1.05808i | ||||||||
\(479\) | −9993.62 | − | 12531.6i | −0.953278 | − | 1.19537i | −0.980654 | − | 0.195748i | \(-0.937287\pi\) |
0.0273760 | − | 0.999625i | \(-0.491285\pi\) | |||||||
\(480\) | −580.428 | − | 1205.27i | −0.0551933 | − | 0.114610i | ||||
\(481\) | 15498.7i | 1.46919i | ||||||||
\(482\) | −7406.86 | + | 9287.91i | −0.699944 | + | 0.877703i | ||||
\(483\) | 13131.2 | + | 2997.11i | 1.23704 | + | 0.282347i | ||||
\(484\) | 8195.47 | − | 10276.8i | 0.769673 | − | 0.965139i | ||||
\(485\) | −885.619 | + | 706.257i | −0.0829152 | + | 0.0661227i | ||||
\(486\) | 1567.71 | + | 1965.84i | 0.146322 | + | 0.183482i | ||||
\(487\) | −6297.32 | −0.585953 | −0.292976 | − | 0.956120i | \(-0.594646\pi\) | ||||
−0.292976 | + | 0.956120i | \(0.594646\pi\) | |||||||
\(488\) | 507.173 | + | 404.457i | 0.0470464 | + | 0.0375182i | ||||
\(489\) | −3447.10 | + | 7157.98i | −0.318780 | + | 0.661953i | ||||
\(490\) | −258.336 | + | 323.943i | −0.0238172 | + | 0.0298659i | ||||
\(491\) | −6549.13 | − | 3153.89i | −0.601951 | − | 0.289884i | 0.107983 | − | 0.994153i | \(-0.465561\pi\) |
−0.709934 | + | 0.704268i | \(0.751275\pi\) | |||||||
\(492\) | −14363.7 | − | 3278.41i | −1.31619 | − | 0.300411i | ||||
\(493\) | −5242.34 | − | 1196.53i | −0.478911 | − | 0.109308i | ||||
\(494\) | −8509.41 | − | 4097.91i | −0.775013 | − | 0.373226i | ||||
\(495\) | −66.5818 | + | 83.4910i | −0.00604572 | + | 0.00758109i | ||||
\(496\) | 3660.75 | − | 7601.63i | 0.331396 | − | 0.688151i | ||||
\(497\) | 5696.87 | + | 4543.10i | 0.514164 | + | 0.410032i | ||||
\(498\) | −32652.1 | −2.93810 | ||||||||
\(499\) | 2709.14 | + | 3397.16i | 0.243042 | + | 0.304765i | 0.888359 | − | 0.459150i | \(-0.151846\pi\) |
−0.645317 | + | 0.763915i | \(0.723275\pi\) | |||||||
\(500\) | 2174.16 | − | 1733.84i | 0.194463 | − | 0.155079i | ||||
\(501\) | 9766.16 | − | 12246.4i | 0.870898 | − | 1.09207i | ||||
\(502\) | 19754.3 | + | 4508.79i | 1.75633 | + | 0.400871i | ||||
\(503\) | −6907.37 | + | 8661.56i | −0.612295 | + | 0.767793i | −0.987238 | − | 0.159255i | \(-0.949091\pi\) |
0.374943 | + | 0.927048i | \(0.377662\pi\) | |||||||
\(504\) | 410.270i | 0.0362596i | ||||||||
\(505\) | −493.055 | − | 1023.84i | −0.0434469 | − | 0.0902184i | ||||
\(506\) | 21567.6 | + | 27044.9i | 1.89485 | + | 2.37607i | ||||
\(507\) | − | 3750.91i | − | 0.328568i | ||||||
\(508\) | 9863.22 | 0.861436 | ||||||||
\(509\) | 7836.30 | + | 1788.58i | 0.682393 | + | 0.155752i | 0.549645 | − | 0.835398i | \(-0.314763\pi\) |
0.132748 | + | 0.991150i | \(0.457620\pi\) | |||||||
\(510\) | −444.447 | − | 557.319i | −0.0385891 | − | 0.0483892i | ||||
\(511\) | −3953.88 | − | 8210.31i | −0.342288 | − | 0.710768i | ||||
\(512\) | 4833.40 | + | 10036.7i | 0.417203 | + | 0.866331i | ||||
\(513\) | 5894.55 | + | 4700.75i | 0.507312 | + | 0.404568i | ||||
\(514\) | 1533.21i | 0.131570i | ||||||||
\(515\) | −478.288 | + | 230.331i | −0.0409240 | + | 0.0197080i | ||||
\(516\) | 1186.30 | + | 2463.38i | 0.101209 | + | 0.210163i | ||||
\(517\) | 10773.2 | + | 8591.36i | 0.916453 | + | 0.730847i | ||||
\(518\) | 21493.8 | − | 17140.7i | 1.82313 | − | 1.45390i | ||||
\(519\) | −7862.49 | + | 1794.56i | −0.664981 | + | 0.151778i | ||||
\(520\) | 216.541 | − | 449.651i | 0.0182614 | − | 0.0379202i | ||||
\(521\) | 8893.89 | + | 4283.07i | 0.747885 | + | 0.360163i | 0.768690 | − | 0.639621i | \(-0.220909\pi\) |
−0.0208051 | + | 0.999784i | \(0.506623\pi\) | |||||||
\(522\) | − | 1628.30i | − | 0.136530i | ||||||
\(523\) | 17737.2i | 1.48297i | 0.670968 | + | 0.741486i | \(0.265879\pi\) | ||||
−0.670968 | + | 0.741486i | \(0.734121\pi\) | |||||||
\(524\) | 9477.65 | − | 7558.17i | 0.790139 | − | 0.630115i | ||||
\(525\) | 10302.3 | − | 2351.43i | 0.856436 | − | 0.195476i | ||||
\(526\) | 24757.2 | − | 11922.4i | 2.05221 | − | 0.988293i | ||||
\(527\) | 1710.96 | − | 7496.20i | 0.141424 | − | 0.619619i | ||||
\(528\) | 5510.85 | − | 6910.39i | 0.454222 | − | 0.569576i | ||||
\(529\) | −11524.8 | + | 5550.03i | −0.947215 | + | 0.456155i | ||||
\(530\) | −212.138 | − | 929.439i | −0.0173862 | − | 0.0761740i | ||||
\(531\) | −39.9166 | + | 174.886i | −0.00326221 | + | 0.0142927i | ||||
\(532\) | 2149.04 | + | 9415.54i | 0.175136 | + | 0.767322i | ||||
\(533\) | 4219.02 | + | 8760.89i | 0.342863 | + | 0.711963i | ||||
\(534\) | −10281.1 | − | 2346.60i | −0.833161 | − | 0.190164i | ||||
\(535\) | 637.012 | + | 1322.77i | 0.0514774 | + | 0.106894i | ||||
\(536\) | −1601.06 | + | 7014.68i | −0.129021 | + | 0.565276i | ||||
\(537\) | −2009.41 | − | 967.681i | −0.161476 | − | 0.0777626i | ||||
\(538\) | 8878.61 | − | 4275.71i | 0.711495 | − | 0.342638i | ||||
\(539\) | −4564.56 | − | 1041.83i | −0.364767 | − | 0.0832557i | ||||
\(540\) | −936.230 | + | 1174.00i | −0.0746091 | + | 0.0935569i | ||||
\(541\) | 16460.7 | + | 13127.0i | 1.30814 | + | 1.04320i | 0.995640 | + | 0.0932842i | \(0.0297365\pi\) |
0.312496 | + | 0.949919i | \(0.398835\pi\) | |||||||
\(542\) | −14549.3 | − | 7006.59i | −1.15304 | − | 0.555275i | ||||
\(543\) | 8598.34 | − | 6856.95i | 0.679540 | − | 0.541915i | ||||
\(544\) | 4472.35 | + | 5608.15i | 0.352483 | + | 0.441999i | ||||
\(545\) | 522.377 | + | 1084.73i | 0.0410572 | + | 0.0852561i | ||||
\(546\) | 11224.6 | − | 8951.30i | 0.879794 | − | 0.701612i | ||||
\(547\) | −7130.10 | + | 5686.07i | −0.557333 | + | 0.444458i | −0.861207 | − | 0.508254i | \(-0.830291\pi\) |
0.303874 | + | 0.952712i | \(0.401720\pi\) | |||||||
\(548\) | 7172.91 | + | 31426.6i | 0.559145 | + | 2.44978i | ||||
\(549\) | 23.7545 | − | 104.075i | 0.00184666 | − | 0.00809075i | ||||
\(550\) | 24451.8 | + | 11775.3i | 1.89568 | + | 0.912914i | ||||
\(551\) | −2262.93 | − | 9914.53i | −0.174962 | − | 0.766558i | ||||
\(552\) | −6667.88 | − | 8361.26i | −0.514137 | − | 0.644708i | ||||
\(553\) | −18421.2 | + | 4204.53i | −1.41655 | + | 0.323318i | ||||
\(554\) | −6470.44 | − | 8113.67i | −0.496214 | − | 0.622233i | ||||
\(555\) | −2212.30 | −0.169202 | ||||||||
\(556\) | −15473.8 | − | 12340.0i | −1.18028 | − | 0.941244i | ||||
\(557\) | −2650.98 | + | 11614.7i | −0.201662 | + | 0.883537i | 0.768263 | + | 0.640134i | \(0.221121\pi\) |
−0.969925 | + | 0.243404i | \(0.921736\pi\) | |||||||
\(558\) | 2328.36 | 0.176644 | ||||||||
\(559\) | 782.961 | − | 1625.84i | 0.0592410 | − | 0.123015i | ||||
\(560\) | 514.660 | − | 117.468i | 0.0388364 | − | 0.00886415i | ||||
\(561\) | 3494.90 | − | 7257.23i | 0.263021 | − | 0.546168i | ||||
\(562\) | 1393.05 | + | 6103.37i | 0.104559 | + | 0.458105i | ||||
\(563\) | −4089.82 | − | 17918.7i | −0.306155 | − | 1.34135i | −0.860663 | − | 0.509175i | \(-0.829951\pi\) |
0.554508 | − | 0.832178i | \(-0.312906\pi\) | |||||||
\(564\) | −12553.7 | − | 10011.2i | −0.937245 | − | 0.747428i | ||||
\(565\) | −1100.79 | − | 530.113i | −0.0819657 | − | 0.0394726i | ||||
\(566\) | −23436.6 | − | 29388.6i | −1.74048 | − | 2.18250i | ||||
\(567\) | −11120.4 | + | 5355.32i | −0.823659 | + | 0.396653i | ||||
\(568\) | −1287.42 | − | 5640.55i | −0.0951037 | − | 0.416677i | ||||
\(569\) | 14361.3 | − | 6916.01i | 1.05809 | − | 0.509551i | 0.177842 | − | 0.984059i | \(-0.443088\pi\) |
0.880251 | + | 0.474508i | \(0.157374\pi\) | |||||||
\(570\) | 584.940 | − | 1214.64i | 0.0429832 | − | 0.0892555i | ||||
\(571\) | 14852.0i | 1.08851i | 0.838921 | + | 0.544253i | \(0.183187\pi\) | ||||
−0.838921 | + | 0.544253i | \(0.816813\pi\) | |||||||
\(572\) | 21255.7 | 1.55375 | ||||||||
\(573\) | −12459.8 | − | 2843.86i | −0.908402 | − | 0.207337i | ||||
\(574\) | 7483.70 | − | 15540.1i | 0.544187 | − | 1.13002i | ||||
\(575\) | −12208.9 | + | 15309.5i | −0.885473 | + | 1.11035i | ||||
\(576\) | −1018.93 | + | 1277.69i | −0.0737070 | + | 0.0924257i | ||||
\(577\) | 13124.6i | 0.946939i | 0.880810 | + | 0.473469i | \(0.156999\pi\) | ||||
−0.880810 | + | 0.473469i | \(0.843001\pi\) | |||||||
\(578\) | −13705.8 | − | 10930.0i | −0.986307 | − | 0.786553i | ||||
\(579\) | −2345.66 | + | 535.381i | −0.168363 | + | 0.0384278i | ||||
\(580\) | 1974.64 | − | 450.698i | 0.141366 | − | 0.0322659i | ||||
\(581\) | 4903.55 | − | 21483.9i | 0.350144 | − | 1.53408i | ||||
\(582\) | 23311.0 | + | 11226.0i | 1.66026 | + | 0.799538i | ||||
\(583\) | 8422.32 | − | 6716.57i | 0.598313 | − | 0.477139i | ||||
\(584\) | −1610.08 | + | 7054.21i | −0.114085 | + | 0.499838i | ||||
\(585\) | −82.1293 | −0.00580449 | ||||||||
\(586\) | −7595.70 | + | 15772.6i | −0.535453 | + | 1.11188i | ||||
\(587\) | −6414.65 | + | 3089.13i | −0.451041 | + | 0.217210i | −0.645592 | − | 0.763683i | \(-0.723389\pi\) |
0.194551 | + | 0.980892i | \(0.437675\pi\) | |||||||
\(588\) | 5318.93 | + | 1214.01i | 0.373043 | + | 0.0851446i | ||||
\(589\) | 14177.1 | − | 3235.83i | 0.991779 | − | 0.226367i | ||||
\(590\) | −387.065 | −0.0270088 | ||||||||
\(591\) | −7061.91 | + | 13128.3i | −0.491520 | + | 0.913749i | ||||
\(592\) | 13016.8 | 0.903694 | ||||||||
\(593\) | 15790.1 | − | 3604.00i | 1.09346 | − | 0.249576i | 0.362494 | − | 0.931986i | \(-0.381925\pi\) |
0.730969 | + | 0.682411i | \(0.239068\pi\) | |||||||
\(594\) | −28695.7 | − | 6549.60i | −1.98215 | − | 0.452413i | ||||
\(595\) | 433.441 | − | 208.734i | 0.0298644 | − | 0.0143820i | ||||
\(596\) | −4182.69 | + | 8685.44i | −0.287466 | + | 0.596928i | ||||
\(597\) | 15809.0 | 1.08379 | ||||||||
\(598\) | −5919.89 | + | 25936.8i | −0.404820 | + | 1.77363i | ||||
\(599\) | −7669.77 | + | 6116.44i | −0.523169 | + | 0.417213i | −0.849141 | − | 0.528166i | \(-0.822880\pi\) |
0.325972 | + | 0.945379i | \(0.394308\pi\) | |||||||
\(600\) | −7559.57 | − | 3640.50i | −0.514364 | − | 0.247704i | ||||
\(601\) | 2730.04 | − | 11961.1i | 0.185292 | − | 0.811819i | −0.793763 | − | 0.608227i | \(-0.791881\pi\) |
0.979056 | − | 0.203592i | \(-0.0652617\pi\) | |||||||
\(602\) | −3120.64 | + | 712.266i | −0.211275 | + | 0.0482222i | ||||
\(603\) | 1154.36 | − | 263.474i | 0.0779586 | − | 0.0177935i | ||||
\(604\) | −5765.30 | − | 4597.67i | −0.388388 | − | 0.309729i | ||||
\(605\) | − | 1238.34i | − | 0.0832158i | ||||||
\(606\) | −16183.4 | + | 20293.3i | −1.08482 | + | 1.36033i | ||||
\(607\) | 2893.50 | − | 3628.33i | 0.193482 | − | 0.242618i | −0.675622 | − | 0.737248i | \(-0.736125\pi\) |
0.869104 | + | 0.494630i | \(0.164696\pi\) | |||||||
\(608\) | −5886.09 | + | 12222.6i | −0.392619 | + | 0.815282i | ||||
\(609\) | 15070.9 | + | 3439.84i | 1.00280 | + | 0.228882i | ||||
\(610\) | 230.343 | 0.0152891 | ||||||||
\(611\) | 10597.5i | 0.701685i | ||||||||
\(612\) | −289.506 | + | 601.165i | −0.0191219 | + | 0.0397070i | ||||
\(613\) | −2651.49 | + | 1276.89i | −0.174703 | + | 0.0841324i | −0.519191 | − | 0.854658i | \(-0.673767\pi\) |
0.344488 | + | 0.938791i | \(0.388052\pi\) | |||||||
\(614\) | −3064.57 | − | 13426.8i | −0.201427 | − | 0.882507i | ||||
\(615\) | −1250.54 | + | 602.227i | −0.0819944 | + | 0.0394864i | ||||
\(616\) | −6236.91 | − | 7820.84i | −0.407942 | − | 0.511543i | ||||
\(617\) | −4776.47 | − | 2300.23i | −0.311659 | − | 0.150087i | 0.271515 | − | 0.962434i | \(-0.412475\pi\) |
−0.583174 | + | 0.812347i | \(0.698190\pi\) | |||||||
\(618\) | 9480.02 | + | 7560.07i | 0.617059 | + | 0.492088i | ||||
\(619\) | −303.178 | − | 1328.31i | −0.0196862 | − | 0.0862507i | 0.964131 | − | 0.265428i | \(-0.0855134\pi\) |
−0.983817 | + | 0.179178i | \(0.942656\pi\) | |||||||
\(620\) | 644.468 | + | 2823.60i | 0.0417459 | + | 0.182901i | ||||
\(621\) | 9214.35 | − | 19133.8i | 0.595425 | − | 1.23641i | ||||
\(622\) | 21766.6 | − | 4968.09i | 1.40316 | − | 0.320261i | ||||
\(623\) | 3087.95 | − | 6412.20i | 0.198582 | − | 0.412359i | ||||
\(624\) | 6797.68 | 0.436098 | ||||||||
\(625\) | −3389.32 | + | 14849.6i | −0.216917 | + | 0.950374i | ||||
\(626\) | −7352.73 | − | 5863.60i | −0.469447 | − | 0.374372i | ||||
\(627\) | 15233.8 | 0.970301 | ||||||||
\(628\) | 10813.2 | + | 13559.3i | 0.687092 | + | 0.861586i | ||||
\(629\) | 11565.1 | − | 2639.65i | 0.733115 | − | 0.167329i | ||||
\(630\) | 90.8304 | + | 113.898i | 0.00574408 | + | 0.00720285i | ||||
\(631\) | −2509.77 | − | 10996.0i | −0.158340 | − | 0.693732i | −0.990306 | − | 0.138905i | \(-0.955642\pi\) |
0.831966 | − | 0.554827i | \(-0.187215\pi\) | |||||||
\(632\) | 13517.1 | + | 6509.47i | 0.850759 | + | 0.409704i | ||||
\(633\) | −3158.28 | + | 13837.3i | −0.198310 | + | 0.868853i | ||||
\(634\) | −1064.94 | − | 4665.81i | −0.0667101 | − | 0.292276i | ||||
\(635\) | 726.483 | − | 579.351i | 0.0454010 | − | 0.0362061i | ||||
\(636\) | −9814.25 | + | 7826.61i | −0.611888 | + | 0.487964i | ||||
\(637\) | −1562.32 | − | 3244.20i | −0.0971767 | − | 0.201789i | ||||
\(638\) | 24753.4 | + | 31039.8i | 1.53605 | + | 1.92614i | ||||
\(639\) | −744.379 | + | 593.623i | −0.0460832 | + | 0.0367501i | ||||
\(640\) | −1388.59 | − | 668.707i | −0.0857635 | − | 0.0413015i | ||||
\(641\) | 12277.5 | + | 9790.94i | 0.756521 | + | 0.603306i | 0.923921 | − | 0.382583i | \(-0.124966\pi\) |
−0.167400 | + | 0.985889i | \(0.553537\pi\) | |||||||
\(642\) | 20908.4 | − | 26218.3i | 1.28534 | − | 1.61176i | ||||
\(643\) | −7933.98 | − | 1810.88i | −0.486603 | − | 0.111064i | −0.0278212 | − | 0.999613i | \(-0.508857\pi\) |
−0.458782 | + | 0.888549i | \(0.651714\pi\) | |||||||
\(644\) | 24509.6 | − | 11803.2i | 1.49971 | − | 0.722223i | ||||
\(645\) | 232.073 | + | 111.761i | 0.0141672 | + | 0.00682259i | ||||
\(646\) | −1608.57 | + | 7047.61i | −0.0979696 | + | 0.429233i | ||||
\(647\) | −640.574 | − | 1330.17i | −0.0389236 | − | 0.0808257i | 0.880600 | − | 0.473860i | \(-0.157140\pi\) |
−0.919524 | + | 0.393034i | \(0.871425\pi\) | |||||||
\(648\) | 9554.56 | + | 2180.77i | 0.579226 | + | 0.132205i | ||||
\(649\) | −1897.70 | − | 3940.61i | −0.114778 | − | 0.238340i | ||||
\(650\) | 4644.54 | + | 20349.1i | 0.280268 | + | 1.22793i | ||||
\(651\) | −4918.73 | + | 21550.4i | −0.296130 | + | 1.29743i | ||||
\(652\) | 3570.64 | + | 15644.0i | 0.214474 | + | 0.939671i | ||||
\(653\) | 13913.5 | − | 6700.40i | 0.833811 | − | 0.401542i | 0.0322680 | − | 0.999479i | \(-0.489727\pi\) |
0.801543 | + | 0.597937i | \(0.204013\pi\) | |||||||
\(654\) | 17145.8 | − | 21500.1i | 1.02516 | − | 1.28550i | ||||
\(655\) | 254.128 | − | 1113.41i | 0.0151597 | − | 0.0664190i | ||||
\(656\) | 7357.95 | − | 3543.40i | 0.437926 | − | 0.210894i | ||||
\(657\) | 1160.86 | − | 264.959i | 0.0689338 | − | 0.0157337i | ||||
\(658\) | 14696.8 | − | 11720.3i | 0.870728 | − | 0.694383i | ||||
\(659\) | 20817.0i | 1.23052i | 0.788323 | + | 0.615261i | \(0.210950\pi\) | ||||
−0.788323 | + | 0.615261i | \(0.789050\pi\) | |||||||
\(660\) | 3034.05i | 0.178940i | ||||||||
\(661\) | −5677.84 | − | 2734.31i | −0.334104 | − | 0.160896i | 0.259309 | − | 0.965795i | \(-0.416505\pi\) |
−0.593412 | + | 0.804899i | \(0.702220\pi\) | |||||||
\(662\) | 15077.5 | − | 31308.8i | 0.885204 | − | 1.83815i | ||||
\(663\) | 6039.56 | − | 1378.49i | 0.353781 | − | 0.0807483i | ||||
\(664\) | −13679.8 | + | 10909.3i | −0.799516 | + | 0.637593i | ||||
\(665\) | 711.344 | + | 567.278i | 0.0414808 | + | 0.0330799i | ||||
\(666\) | 1558.59 | + | 3236.44i | 0.0906817 | + | 0.188303i | ||||
\(667\) | −25808.5 | + | 12428.7i | −1.49822 | + | 0.721503i | ||||
\(668\) | − | 31636.5i | − | 1.83242i | ||||||
\(669\) | −18308.0 | − | 14600.2i | −1.05804 | − | 0.843759i | ||||
\(670\) | 1108.52 | + | 2301.86i | 0.0639189 | + | 0.132729i | ||||
\(671\) | 1129.33 | + | 2345.07i | 0.0649734 | + | 0.134919i | ||||
\(672\) | −12857.3 | − | 16122.6i | −0.738068 | − | 0.925508i | ||||
\(673\) | 21987.0 | + | 5018.39i | 1.25934 | + | 0.287437i | 0.799555 | − | 0.600593i | \(-0.205069\pi\) |
0.459787 | + | 0.888029i | \(0.347926\pi\) | |||||||
\(674\) | 234.485 | 0.0134006 | ||||||||
\(675\) | − | 16661.7i | − | 0.950090i | ||||||
\(676\) | −4723.46 | − | 5923.03i | −0.268745 | − | 0.336996i | ||||
\(677\) | −11784.7 | − | 24471.2i | −0.669016 | − | 1.38923i | −0.908318 | − | 0.418281i | \(-0.862633\pi\) |
0.239302 | − | 0.970945i | \(-0.423081\pi\) | |||||||
\(678\) | 27906.9i | 1.58076i | ||||||||
\(679\) | −10887.0 | + | 13651.9i | −0.615324 | + | 0.771592i | ||||
\(680\) | −372.408 | − | 84.9996i | −0.0210017 | − | 0.00479351i | ||||
\(681\) | −13683.8 | + | 17158.9i | −0.769989 | + | 0.965536i | ||||
\(682\) | −44384.9 | + | 35395.7i | −2.49206 | + | 1.98735i | ||||
\(683\) | 77.1707 | + | 96.7690i | 0.00432336 | + | 0.00542132i | 0.783988 | − | 0.620775i | \(-0.213182\pi\) |
−0.779665 | + | 0.626197i | \(0.784611\pi\) | |||||||
\(684\) | −1261.92 | −0.0705418 | ||||||||
\(685\) | 2374.28 | + | 1893.42i | 0.132433 | + | 0.105612i | ||||
\(686\) | −12999.5 | + | 26993.7i | −0.723502 | + | 1.50237i | ||||
\(687\) | 9676.47 | − | 12133.9i | 0.537380 | − | 0.673853i | ||||
\(688\) | −1365.48 | − | 657.580i | −0.0756663 | − | 0.0364390i | ||||
\(689\) | 8077.23 | + | 1843.58i | 0.446615 | + | 0.101937i | ||||
\(690\) | −3702.23 | − | 845.011i | −0.204263 | − | 0.0466217i | ||||
\(691\) | −21084.1 | − | 10153.6i | −1.16075 | − | 0.558986i | −0.248501 | − | 0.968632i | \(-0.579938\pi\) |
−0.912245 | + | 0.409646i | \(0.865652\pi\) | |||||||
\(692\) | −10155.7 | + | 12734.9i | −0.557894 | + | 0.699577i | ||||
\(693\) | −714.242 | + | 1483.14i | −0.0391513 | + | 0.0812984i | ||||
\(694\) | 18384.1 | + | 14660.8i | 1.00555 | + | 0.801897i | ||||
\(695\) | −1864.57 | −0.101766 | ||||||||
\(696\) | −7652.84 | − | 9596.35i | −0.416782 | − | 0.522628i | ||||
\(697\) | 5818.78 | − | 4640.32i | 0.316215 | − | 0.252173i | ||||
\(698\) | −15852.2 | + | 19878.0i | −0.859620 | + | 1.07793i | ||||
\(699\) | 7694.83 | + | 1756.30i | 0.416374 | + | 0.0950346i | ||||
\(700\) | 13307.1 | − | 16686.6i | 0.718518 | − | 0.900993i | ||||
\(701\) | − | 13730.2i | − | 0.739775i | −0.929077 | − | 0.369887i | \(-0.879396\pi\) | ||
0.929077 | − | 0.369887i | \(-0.120604\pi\) | |||||||
\(702\) | −9821.75 | − | 20395.1i | −0.528060 | − | 1.09653i | ||||
\(703\) | 13987.9 | + | 17540.2i | 0.750445 | + | 0.941028i | ||||
\(704\) | − | 39846.0i | − | 2.13317i | ||||||
\(705\) | −1512.70 | −0.0808107 | ||||||||
\(706\) | 8958.28 | + | 2044.67i | 0.477548 | + | 0.108997i | ||||
\(707\) | −10921.9 | − | 13695.6i | −0.580990 | − | 0.728538i | ||||
\(708\) | 2211.33 | + | 4591.87i | 0.117382 | + | 0.243747i | ||||
\(709\) | −9685.83 | − | 20112.8i | −0.513059 | − | 1.06538i | −0.983157 | − | 0.182764i | \(-0.941496\pi\) |
0.470097 | − | 0.882615i | \(-0.344219\pi\) | |||||||
\(710\) | −1606.18 | − | 1280.89i | −0.0849000 | − | 0.0677055i | ||||
\(711\) | − | 2468.90i | − | 0.130227i | ||||||
\(712\) | −5091.36 | + | 2451.87i | −0.267987 | + | 0.129056i | ||||
\(713\) | −17772.2 | − | 36904.5i | −0.933487 | − | 1.93840i | ||||
\(714\) | −8591.12 | − | 6851.19i | −0.450301 | − | 0.359103i | ||||
\(715\) | 1565.60 | − | 1248.53i | 0.0818885 | − | 0.0653039i | ||||
\(716\) | −4391.63 | + | 1002.36i | −0.229222 | + | 0.0523184i | ||||
\(717\) | 5951.44 | − | 12358.3i | 0.309987 | − | 0.643694i | ||||
\(718\) | −41642.0 | − | 20053.7i | −2.16443 | − | 1.04234i | ||||
\(719\) | 22758.1i | 1.18044i | 0.807244 | + | 0.590218i | \(0.200958\pi\) | ||||
−0.807244 | + | 0.590218i | \(0.799042\pi\) | |||||||
\(720\) | 68.9773i | 0.00357032i | ||||||||
\(721\) | −6397.92 | + | 5102.17i | −0.330473 | + | 0.263543i | ||||
\(722\) | 15734.1 | − | 3591.21i | 0.811029 | − | 0.185112i | ||||
\(723\) | 13277.1 | − | 6393.93i | 0.682963 | − | 0.328898i | ||||
\(724\) | 4942.72 | − | 21655.5i | 0.253722 | − | 1.11163i | ||||
\(725\) | −14012.4 | + | 17571.0i | −0.717802 | + | 0.900095i | ||||
\(726\) | −25483.9 | + | 12272.4i | −1.30275 | + | 0.627370i | ||||
\(727\) | 2536.35 | + | 11112.5i | 0.129392 | + | 0.566903i | 0.997509 | + | 0.0705430i | \(0.0224732\pi\) |
−0.868117 | + | 0.496360i | \(0.834670\pi\) | |||||||
\(728\) | 1711.92 | − | 7500.40i | 0.0871537 | − | 0.381845i | ||||
\(729\) | 3995.36 | + | 17504.8i | 0.202985 | + | 0.889336i | ||||
\(730\) | 1114.76 | + | 2314.83i | 0.0565194 | + | 0.117364i | ||||
\(731\) | −1346.54 | − | 307.339i | −0.0681308 | − | 0.0155504i | ||||
\(732\) | −1315.97 | − | 2732.63i | −0.0664475 | − | 0.137980i | ||||
\(733\) | 5450.96 | − | 23882.2i | 0.274674 | − | 1.20342i | −0.629753 | − | 0.776795i | \(-0.716844\pi\) |
0.904427 | − | 0.426629i | \(-0.140299\pi\) | |||||||
\(734\) | −49408.0 | − | 23793.6i | −2.48458 | − | 1.19651i | ||||
\(735\) | 463.080 | − | 223.007i | 0.0232394 | − | 0.0111915i | ||||
\(736\) | 37254.6 | + | 8503.12i | 1.86579 | + | 0.425855i | ||||
\(737\) | −17999.8 | + | 22571.0i | −0.899636 | + | 1.12811i | ||||
\(738\) | 1762.03 | + | 1405.17i | 0.0878880 | + | 0.0700883i | ||||
\(739\) | −14543.1 | − | 7003.60i | −0.723921 | − | 0.348622i | 0.0353690 | − | 0.999374i | \(-0.488739\pi\) |
−0.759290 | + | 0.650752i | \(0.774454\pi\) | |||||||
\(740\) | −3493.42 | + | 2785.91i | −0.173542 | + | 0.138395i | ||||
\(741\) | 7304.81 | + | 9159.94i | 0.362144 | + | 0.454114i | ||||
\(742\) | −6376.28 | − | 13240.5i | −0.315473 | − | 0.655085i | ||||
\(743\) | −10900.3 | + | 8692.66i | −0.538212 | + | 0.429210i | −0.854498 | − | 0.519454i | \(-0.826135\pi\) |
0.316286 | + | 0.948664i | \(0.397564\pi\) | |||||||
\(744\) | 13722.1 | − | 10943.0i | 0.676180 | − | 0.539236i | ||||
\(745\) | 202.091 | + | 885.418i | 0.00993830 | + | 0.0435426i | ||||
\(746\) | −6192.29 | + | 27130.2i | −0.303909 | + | 1.33151i | ||||
\(747\) | 2594.23 | + | 1249.31i | 0.127065 | + | 0.0611914i | ||||
\(748\) | −3620.14 | − | 15860.9i | −0.176959 | − | 0.775310i | ||||
\(749\) | 14110.7 | + | 17694.3i | 0.688377 | + | 0.863198i | ||||
\(750\) | −5833.95 | + | 1331.56i | −0.284034 | + | 0.0648289i | ||||
\(751\) | −12611.1 | − | 15813.8i | −0.612762 | − | 0.768379i | 0.374544 | − | 0.927209i | \(-0.377799\pi\) |
−0.987306 | + | 0.158830i | \(0.949228\pi\) | |||||||
\(752\) | 8900.46 | 0.431604 | ||||||||
\(753\) | −19651.3 | − | 15671.4i | −0.951042 | − | 0.758431i | ||||
\(754\) | −6794.36 | + | 29768.0i | −0.328164 | + | 1.43778i | ||||
\(755\) | −694.708 | −0.0334875 | ||||||||
\(756\) | −10043.2 | + | 20854.9i | −0.483158 | + | 1.00329i | ||||
\(757\) | −15979.2 | + | 3647.16i | −0.767207 | + | 0.175110i | −0.588175 | − | 0.808733i | \(-0.700153\pi\) |
−0.179031 | + | 0.983843i | \(0.557296\pi\) | |||||||
\(758\) | 14946.4 | − | 31036.4i | 0.716196 | − | 1.48720i | ||||
\(759\) | −9548.44 | − | 41834.4i | −0.456636 | − | 2.00065i | ||||
\(760\) | −160.755 | − | 704.312i | −0.00767261 | − | 0.0336159i | ||||
\(761\) | −27941.3 | − | 22282.5i | −1.33098 | − | 1.06142i | −0.992730 | − | 0.120360i | \(-0.961595\pi\) |
−0.338245 | − | 0.941058i | \(-0.609833\pi\) | |||||||
\(762\) | −19122.3 | − | 9208.79i | −0.909089 | − | 0.437794i | ||||
\(763\) | 11571.4 | + | 14510.1i | 0.549033 | + | 0.688466i | ||||
\(764\) | −23256.3 | + | 11199.7i | −1.10129 | + | 0.530353i | ||||
\(765\) | 13.9878 | + | 61.2845i | 0.000661084 | + | 0.00289640i | ||||
\(766\) | 32894.6 | − | 15841.2i | 1.55161 | − | 0.747215i | ||||