Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(16,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(98))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.16");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.g (of order \(49\), degree \(42\), 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: | \(2058\) |
Relative dimension: | \(49\) over \(\Q(\zeta_{49})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{49}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 197.16 |
Dual form | 197.4.g.a.37.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{49}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.78000 | − | 0.306886i | −1.68999 | − | 0.108501i | −0.810907 | − | 0.585175i | \(-0.801026\pi\) |
−0.879080 | + | 0.476675i | \(0.841842\pi\) | |||||||
\(3\) | 2.41641 | − | 3.46411i | 0.465038 | − | 0.666667i | −0.516861 | − | 0.856069i | \(-0.672900\pi\) |
0.981900 | + | 0.189402i | \(0.0606548\pi\) | |||||||
\(4\) | 14.8199 | + | 1.91082i | 1.85249 | + | 0.238852i | ||||
\(5\) | −12.6224 | + | 8.21628i | −1.12898 | + | 0.734887i | −0.967721 | − | 0.252025i | \(-0.918903\pi\) |
−0.161262 | + | 0.986912i | \(0.551557\pi\) | |||||||
\(6\) | −12.6135 | + | 15.8169i | −0.858242 | + | 1.07620i | ||||
\(7\) | −32.4079 | + | 2.08066i | −1.74986 | + | 0.112345i | −0.905748 | − | 0.423817i | \(-0.860690\pi\) |
−0.844115 | + | 0.536162i | \(0.819873\pi\) | |||||||
\(8\) | −32.6408 | − | 6.35680i | −1.44253 | − | 0.280933i | ||||
\(9\) | 3.16387 | + | 8.59725i | 0.117180 | + | 0.318417i | ||||
\(10\) | 62.8567 | − | 35.4002i | 1.98770 | − | 1.11945i | ||||
\(11\) | 4.03530 | − | 13.5963i | 0.110608 | − | 0.372675i | −0.885080 | − | 0.465439i | \(-0.845897\pi\) |
0.995688 | + | 0.0927635i | \(0.0295700\pi\) | |||||||
\(12\) | 42.4303 | − | 46.7205i | 1.02072 | − | 1.12392i | ||||
\(13\) | 0.383489 | − | 11.9586i | 0.00818159 | − | 0.255132i | −0.987221 | − | 0.159355i | \(-0.949058\pi\) |
0.995403 | − | 0.0957765i | \(-0.0305334\pi\) | |||||||
\(14\) | 155.548 | 2.96943 | ||||||||
\(15\) | −2.03886 | + | 63.5793i | −0.0350955 | + | 1.09441i | ||||
\(16\) | 38.4411 | + | 10.0804i | 0.600642 | + | 0.157507i | ||||
\(17\) | 46.9071 | + | 45.4270i | 0.669215 | + | 0.648098i | 0.950210 | − | 0.311611i | \(-0.100869\pi\) |
−0.280995 | + | 0.959709i | \(0.590664\pi\) | |||||||
\(18\) | −12.4849 | − | 42.0658i | −0.163485 | − | 0.550834i | ||||
\(19\) | −67.6724 | − | 32.5893i | −0.817111 | − | 0.393500i | −0.0218454 | − | 0.999761i | \(-0.506954\pi\) |
−0.795265 | + | 0.606262i | \(0.792668\pi\) | |||||||
\(20\) | −202.763 | + | 97.6456i | −2.26696 | + | 1.09171i | ||||
\(21\) | −71.1032 | + | 117.292i | −0.738856 | + | 1.21882i | ||||
\(22\) | −23.4613 | + | 63.7518i | −0.227362 | + | 0.617815i | ||||
\(23\) | 2.86384 | + | 17.7138i | 0.0259631 | + | 0.160591i | 0.996892 | − | 0.0787756i | \(-0.0251011\pi\) |
−0.970929 | + | 0.239367i | \(0.923060\pi\) | |||||||
\(24\) | −100.894 | + | 97.7106i | −0.858123 | + | 0.831046i | ||||
\(25\) | 41.2201 | − | 93.1170i | 0.329761 | − | 0.744936i | ||||
\(26\) | −5.50301 | + | 57.0444i | −0.0415088 | + | 0.430282i | ||||
\(27\) | 147.735 | + | 38.7408i | 1.05303 | + | 0.276136i | ||||
\(28\) | −484.259 | − | 31.0905i | −3.26844 | − | 0.209841i | ||||
\(29\) | 150.603 | − | 165.831i | 0.964357 | − | 1.06186i | −0.0336924 | − | 0.999432i | \(-0.510727\pi\) |
0.998049 | − | 0.0624318i | \(-0.0198856\pi\) | |||||||
\(30\) | 29.2574 | − | 303.284i | 0.178055 | − | 1.84572i | ||||
\(31\) | 55.8577 | − | 22.6143i | 0.323624 | − | 0.131021i | −0.207693 | − | 0.978194i | \(-0.566595\pi\) |
0.531317 | + | 0.847173i | \(0.321697\pi\) | |||||||
\(32\) | 71.8245 | + | 23.8474i | 0.396778 | + | 0.131739i | ||||
\(33\) | −37.3480 | − | 46.8328i | −0.197013 | − | 0.247047i | ||||
\(34\) | −210.275 | − | 231.537i | −1.06064 | − | 1.16789i | ||||
\(35\) | 391.971 | − | 292.535i | 1.89300 | − | 1.41279i | ||||
\(36\) | 30.4605 | + | 133.456i | 0.141021 | + | 0.617853i | ||||
\(37\) | −281.563 | + | 73.8345i | −1.25104 | + | 0.328062i | −0.819002 | − | 0.573791i | \(-0.805472\pi\) |
−0.432042 | + | 0.901853i | \(0.642207\pi\) | |||||||
\(38\) | 313.473 | + | 176.545i | 1.33821 | + | 0.753666i | ||||
\(39\) | −40.4992 | − | 30.2253i | −0.166283 | − | 0.124101i | ||||
\(40\) | 464.235 | − | 187.948i | 1.83505 | − | 0.742930i | ||||
\(41\) | 263.267 | + | 254.960i | 1.00281 | + | 0.971171i | 0.999585 | − | 0.0288235i | \(-0.00917607\pi\) |
0.00322959 | + | 0.999995i | \(0.498972\pi\) | |||||||
\(42\) | 375.869 | − | 538.836i | 1.38090 | − | 1.97962i | ||||
\(43\) | 121.971 | − | 410.960i | 0.432567 | − | 1.45746i | −0.406609 | − | 0.913602i | \(-0.633289\pi\) |
0.839176 | − | 0.543860i | \(-0.183038\pi\) | |||||||
\(44\) | 85.7829 | − | 193.785i | 0.293915 | − | 0.663959i | ||||
\(45\) | −110.573 | − | 82.5228i | −0.366295 | − | 0.273373i | ||||
\(46\) | −8.25301 | − | 85.5511i | −0.0264530 | − | 0.274213i | ||||
\(47\) | −154.999 | − | 297.104i | −0.481040 | − | 0.922065i | −0.997823 | − | 0.0659479i | \(-0.978993\pi\) |
0.516783 | − | 0.856117i | \(-0.327130\pi\) | |||||||
\(48\) | 127.809 | − | 108.806i | 0.384326 | − | 0.327182i | ||||
\(49\) | 705.759 | − | 90.9976i | 2.05761 | − | 0.265299i | ||||
\(50\) | −225.609 | + | 432.450i | −0.638118 | + | 1.22315i | ||||
\(51\) | 270.711 | − | 52.7209i | 0.743277 | − | 0.144753i | ||||
\(52\) | 28.5340 | − | 176.493i | 0.0760952 | − | 0.470676i | ||||
\(53\) | −58.6080 | − | 607.533i | −0.151895 | − | 1.57455i | −0.685028 | − | 0.728517i | \(-0.740210\pi\) |
0.533133 | − | 0.846031i | \(-0.321015\pi\) | |||||||
\(54\) | −694.287 | − | 230.519i | −1.74964 | − | 0.580920i | ||||
\(55\) | 60.7755 | + | 204.773i | 0.148999 | + | 0.502028i | ||||
\(56\) | 1071.05 | + | 138.096i | 2.55580 | + | 0.329534i | ||||
\(57\) | −276.417 | + | 155.675i | −0.642321 | + | 0.361749i | ||||
\(58\) | −770.776 | + | 746.455i | −1.74496 | + | 1.68990i | ||||
\(59\) | 282.802 | + | 159.271i | 0.624029 | + | 0.351446i | 0.770190 | − | 0.637814i | \(-0.220161\pi\) |
−0.146162 | + | 0.989261i | \(0.546692\pi\) | |||||||
\(60\) | −151.704 | + | 938.345i | −0.326416 | + | 2.01900i | ||||
\(61\) | 215.323 | + | 308.682i | 0.451957 | + | 0.647914i | 0.979460 | − | 0.201639i | \(-0.0646269\pi\) |
−0.527503 | + | 0.849553i | \(0.676872\pi\) | |||||||
\(62\) | −273.940 | + | 90.9544i | −0.561136 | + | 0.186310i | ||||
\(63\) | −120.422 | − | 272.036i | −0.240822 | − | 0.544021i | ||||
\(64\) | −630.695 | − | 255.340i | −1.23183 | − | 0.498711i | ||||
\(65\) | 93.4146 | + | 154.097i | 0.178256 | + | 0.294052i | ||||
\(66\) | 164.151 | + | 235.323i | 0.306145 | + | 0.438882i | ||||
\(67\) | −236.150 | − | 452.655i | −0.430602 | − | 0.825383i | −0.999994 | − | 0.00331725i | \(-0.998944\pi\) |
0.569393 | − | 0.822066i | \(-0.307178\pi\) | |||||||
\(68\) | 608.358 | + | 762.857i | 1.08492 | + | 1.36044i | ||||
\(69\) | 68.2828 | + | 32.8833i | 0.119135 | + | 0.0573722i | ||||
\(70\) | −1963.40 | + | 1278.03i | −3.35244 | + | 2.18220i | ||||
\(71\) | 140.087 | + | 380.663i | 0.234159 | + | 0.636287i | 0.999977 | − | 0.00677099i | \(-0.00215529\pi\) |
−0.765818 | + | 0.643058i | \(0.777665\pi\) | |||||||
\(72\) | −48.6202 | − | 300.733i | −0.0795826 | − | 0.492247i | ||||
\(73\) | 801.649 | − | 210.217i | 1.28529 | − | 0.337042i | 0.453062 | − | 0.891479i | \(-0.350332\pi\) |
0.832226 | + | 0.554437i | \(0.187066\pi\) | |||||||
\(74\) | 1368.53 | − | 266.521i | 2.14984 | − | 0.418682i | ||||
\(75\) | −222.962 | − | 367.800i | −0.343273 | − | 0.566265i | ||||
\(76\) | −940.628 | − | 612.281i | −1.41970 | − | 0.924124i | ||||
\(77\) | −102.486 | + | 449.022i | −0.151681 | + | 0.664557i | ||||
\(78\) | 184.310 | + | 156.906i | 0.267552 | + | 0.227770i | ||||
\(79\) | −420.609 | − | 273.786i | −0.599015 | − | 0.389916i | 0.210002 | − | 0.977701i | \(-0.432653\pi\) |
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(80\) | −568.043 | + | 188.603i | −0.793865 | + | 0.263581i | ||||
\(81\) | 302.851 | − | 257.821i | 0.415434 | − | 0.353664i | ||||
\(82\) | −1180.17 | − | 1299.50i | −1.58937 | − | 1.75007i | ||||
\(83\) | −670.421 | + | 322.858i | −0.886605 | + | 0.426967i | −0.821033 | − | 0.570881i | \(-0.806602\pi\) |
−0.0655727 | + | 0.997848i | \(0.520887\pi\) | |||||||
\(84\) | −1277.87 | + | 1602.40i | −1.65984 | + | 2.08138i | ||||
\(85\) | −965.323 | − | 187.997i | −1.23181 | − | 0.239895i | ||||
\(86\) | −709.139 | + | 1926.96i | −0.889168 | + | 2.41616i | ||||
\(87\) | −210.537 | − | 922.422i | −0.259447 | − | 1.13671i | ||||
\(88\) | −218.144 | + | 418.142i | −0.264253 | + | 0.506523i | ||||
\(89\) | 1382.15 | + | 559.570i | 1.64615 | + | 0.666453i | 0.995660 | − | 0.0930613i | \(-0.0296653\pi\) |
0.650491 | + | 0.759514i | \(0.274563\pi\) | |||||||
\(90\) | 503.214 | + | 428.393i | 0.589372 | + | 0.501739i | ||||
\(91\) | 12.4537 | + | 388.351i | 0.0143461 | + | 0.447365i | ||||
\(92\) | 8.59393 | + | 267.990i | 0.00973890 | + | 0.303695i | ||||
\(93\) | 56.6369 | − | 248.142i | 0.0631502 | − | 0.276679i | ||||
\(94\) | 649.718 | + | 1467.72i | 0.712907 | + | 1.61047i | ||||
\(95\) | 1121.95 | − | 144.660i | 1.21168 | − | 0.156229i | ||||
\(96\) | 256.167 | − | 191.183i | 0.272343 | − | 0.203255i | ||||
\(97\) | −300.787 | + | 496.180i | −0.314848 | + | 0.519375i | −0.972183 | − | 0.234224i | \(-0.924745\pi\) |
0.657334 | + | 0.753599i | \(0.271684\pi\) | |||||||
\(98\) | −3401.46 | + | 218.381i | −3.50611 | + | 0.225100i | ||||
\(99\) | 129.658 | − | 8.32429i | 0.131627 | − | 0.00845074i | ||||
\(100\) | 788.810 | − | 1301.22i | 0.788810 | − | 1.30122i | ||||
\(101\) | 936.840 | − | 699.182i | 0.922961 | − | 0.688823i | −0.0275154 | − | 0.999621i | \(-0.508760\pi\) |
0.950476 | + | 0.310798i | \(0.100596\pi\) | |||||||
\(102\) | −1310.18 | + | 168.929i | −1.27183 | + | 0.163985i | ||||
\(103\) | 122.147 | + | 275.931i | 0.116849 | + | 0.263964i | 0.963262 | − | 0.268563i | \(-0.0865486\pi\) |
−0.846413 | + | 0.532527i | \(0.821243\pi\) | |||||||
\(104\) | −88.5357 | + | 387.900i | −0.0834773 | + | 0.365738i | ||||
\(105\) | −66.2113 | − | 2064.71i | −0.0615387 | − | 1.91900i | ||||
\(106\) | 93.7027 | + | 2922.00i | 0.0858605 | + | 2.67745i | ||||
\(107\) | −89.1592 | − | 75.9024i | −0.0805547 | − | 0.0685772i | 0.607044 | − | 0.794669i | \(-0.292355\pi\) |
−0.687598 | + | 0.726091i | \(0.741335\pi\) | |||||||
\(108\) | 2115.40 | + | 856.432i | 1.88477 | + | 0.763057i | ||||
\(109\) | 161.664 | − | 309.880i | 0.142061 | − | 0.272304i | −0.805052 | − | 0.593204i | \(-0.797863\pi\) |
0.947113 | + | 0.320900i | \(0.103985\pi\) | |||||||
\(110\) | −227.665 | − | 997.466i | −0.197337 | − | 0.864588i | ||||
\(111\) | −424.601 | + | 1153.78i | −0.363075 | + | 0.986592i | ||||
\(112\) | −1266.77 | − | 246.703i | −1.06874 | − | 0.208136i | ||||
\(113\) | −1107.36 | + | 1388.59i | −0.921876 | + | 1.15600i | 0.0655400 | + | 0.997850i | \(0.479123\pi\) |
−0.987416 | + | 0.158146i | \(0.949448\pi\) | |||||||
\(114\) | 1369.05 | − | 659.299i | 1.12476 | − | 0.541658i | ||||
\(115\) | −181.690 | − | 200.061i | −0.147328 | − | 0.162224i | ||||
\(116\) | 2548.81 | − | 2169.83i | 2.04009 | − | 1.73676i | ||||
\(117\) | 104.024 | − | 34.5384i | 0.0821970 | − | 0.0272913i | ||||
\(118\) | −1302.92 | − | 848.105i | −1.01647 | − | 0.661647i | ||||
\(119\) | −1614.68 | − | 1374.60i | −1.24384 | − | 1.05890i | ||||
\(120\) | 470.711 | − | 2062.32i | 0.358082 | − | 1.56886i | ||||
\(121\) | 946.921 | + | 616.377i | 0.711435 | + | 0.463093i | ||||
\(122\) | −934.517 | − | 1541.58i | −0.693501 | − | 1.14400i | ||||
\(123\) | 1519.37 | − | 295.897i | 1.11380 | − | 0.216912i | ||||
\(124\) | 871.019 | − | 228.408i | 0.630805 | − | 0.165417i | ||||
\(125\) | −55.6881 | − | 344.451i | −0.0398472 | − | 0.246469i | ||||
\(126\) | 492.134 | + | 1337.29i | 0.347959 | + | 0.945517i | ||||
\(127\) | 1019.98 | − | 663.931i | 0.712663 | − | 0.463892i | −0.137439 | − | 0.990510i | \(-0.543887\pi\) |
0.850102 | + | 0.526618i | \(0.176540\pi\) | |||||||
\(128\) | 2390.88 | + | 1151.39i | 1.65098 | + | 0.795072i | ||||
\(129\) | −1128.88 | − | 1415.57i | −0.770482 | − | 0.966154i | ||||
\(130\) | −399.232 | − | 765.252i | −0.269346 | − | 0.516285i | ||||
\(131\) | 896.885 | + | 1285.75i | 0.598177 | + | 0.857532i | 0.998261 | − | 0.0589462i | \(-0.0187741\pi\) |
−0.400084 | + | 0.916479i | \(0.631019\pi\) | |||||||
\(132\) | −464.005 | − | 765.425i | −0.305958 | − | 0.504710i | ||||
\(133\) | 2260.93 | + | 915.348i | 1.47404 | + | 0.596772i | ||||
\(134\) | 989.884 | + | 2236.17i | 0.638156 | + | 1.44161i | ||||
\(135\) | −2183.08 | + | 724.833i | −1.39178 | + | 0.462102i | ||||
\(136\) | −1242.32 | − | 1780.95i | −0.783293 | − | 1.12291i | ||||
\(137\) | −195.778 | + | 1210.96i | −0.122091 | + | 0.755175i | 0.851071 | + | 0.525051i | \(0.175954\pi\) |
−0.973161 | + | 0.230124i | \(0.926087\pi\) | |||||||
\(138\) | −316.301 | − | 178.137i | −0.195111 | − | 0.109884i | ||||
\(139\) | −643.294 | + | 622.995i | −0.392543 | + | 0.380157i | −0.865483 | − | 0.500938i | \(-0.832989\pi\) |
0.472940 | + | 0.881094i | \(0.343193\pi\) | |||||||
\(140\) | 6367.96 | − | 3586.37i | 3.84422 | − | 2.16503i | ||||
\(141\) | −1403.74 | − | 180.992i | −0.838413 | − | 0.108101i | ||||
\(142\) | −552.798 | − | 1862.56i | −0.326689 | − | 1.10072i | ||||
\(143\) | −161.045 | − | 53.4705i | −0.0941764 | − | 0.0312687i | ||||
\(144\) | 34.9584 | + | 362.381i | 0.0202306 | + | 0.209711i | ||||
\(145\) | −538.464 | + | 3330.59i | −0.308393 | + | 1.90752i | ||||
\(146\) | −3896.40 | + | 758.824i | −2.20869 | + | 0.430142i | ||||
\(147\) | 1390.18 | − | 2664.71i | 0.780000 | − | 1.49511i | ||||
\(148\) | −4313.83 | + | 556.206i | −2.39591 | + | 0.308918i | ||||
\(149\) | 1036.98 | − | 882.795i | 0.570153 | − | 0.485379i | −0.316007 | − | 0.948757i | \(-0.602342\pi\) |
0.886161 | + | 0.463378i | \(0.153363\pi\) | |||||||
\(150\) | 952.888 | + | 1826.51i | 0.518687 | + | 0.994225i | ||||
\(151\) | 1.73243 | + | 17.9585i | 0.000933666 | + | 0.00967842i | 0.995834 | − | 0.0911827i | \(-0.0290647\pi\) |
−0.994901 | + | 0.100861i | \(0.967840\pi\) | |||||||
\(152\) | 2001.72 | + | 1493.92i | 1.06816 | + | 0.797191i | ||||
\(153\) | −242.140 | + | 546.997i | −0.127947 | + | 0.289033i | ||||
\(154\) | 627.685 | − | 2114.88i | 0.328443 | − | 1.10663i | ||||
\(155\) | −519.254 | + | 744.389i | −0.269080 | + | 0.385747i | ||||
\(156\) | −542.440 | − | 525.324i | −0.278397 | − | 0.269613i | ||||
\(157\) | −857.457 | + | 347.146i | −0.435876 | + | 0.176466i | −0.582685 | − | 0.812698i | \(-0.697998\pi\) |
0.146809 | + | 0.989165i | \(0.453100\pi\) | |||||||
\(158\) | 1926.49 | + | 1437.78i | 0.970021 | + | 0.723946i | ||||
\(159\) | −2246.18 | − | 1265.02i | −1.12034 | − | 0.630962i | ||||
\(160\) | −1102.54 | + | 289.119i | −0.544769 | + | 0.142855i | ||||
\(161\) | −129.667 | − | 568.110i | −0.0634734 | − | 0.278095i | ||||
\(162\) | −1526.75 | + | 1139.45i | −0.740451 | + | 0.552613i | ||||
\(163\) | −1778.04 | − | 1957.82i | −0.854398 | − | 0.940788i | 0.144414 | − | 0.989517i | \(-0.453870\pi\) |
−0.998812 | + | 0.0487298i | \(0.984483\pi\) | |||||||
\(164\) | 3414.42 | + | 4281.54i | 1.62574 | + | 2.03861i | ||||
\(165\) | 856.213 | + | 284.282i | 0.403976 | + | 0.134129i | ||||
\(166\) | 3303.69 | − | 1337.52i | 1.54468 | − | 0.625371i | ||||
\(167\) | 342.099 | − | 3546.22i | 0.158518 | − | 1.64320i | −0.482660 | − | 0.875808i | \(-0.660329\pi\) |
0.641178 | − | 0.767392i | \(-0.278446\pi\) | |||||||
\(168\) | 3066.47 | − | 3376.52i | 1.40823 | − | 1.55062i | ||||
\(169\) | 2049.63 | + | 131.590i | 0.932920 | + | 0.0598955i | ||||
\(170\) | 4556.55 | + | 1194.87i | 2.05572 | + | 0.539072i | ||||
\(171\) | 66.0719 | − | 684.904i | 0.0295476 | − | 0.306292i | ||||
\(172\) | 2592.87 | − | 5857.34i | 1.14945 | − | 2.59662i | ||||
\(173\) | −1385.83 | + | 1342.10i | −0.609033 | + | 0.589815i | −0.934599 | − | 0.355704i | \(-0.884241\pi\) |
0.325566 | + | 0.945519i | \(0.394445\pi\) | |||||||
\(174\) | 723.288 | + | 4473.79i | 0.315128 | + | 1.94918i | ||||
\(175\) | −1142.11 | + | 3103.49i | −0.493347 | + | 1.34058i | ||||
\(176\) | 292.178 | − | 481.978i | 0.125135 | − | 0.206423i | ||||
\(177\) | 1235.10 | − | 594.792i | 0.524495 | − | 0.252583i | ||||
\(178\) | −6434.95 | − | 3098.91i | −2.70966 | − | 1.30490i | ||||
\(179\) | −157.964 | − | 532.233i | −0.0659597 | − | 0.222240i | 0.919226 | − | 0.393730i | \(-0.128815\pi\) |
−0.985186 | + | 0.171490i | \(0.945142\pi\) | |||||||
\(180\) | −1481.00 | − | 1434.27i | −0.613262 | − | 0.593911i | ||||
\(181\) | 1095.61 | + | 287.302i | 0.449922 | + | 0.117983i | 0.471660 | − | 0.881780i | \(-0.343655\pi\) |
−0.0217385 | + | 0.999764i | \(0.506920\pi\) | |||||||
\(182\) | 59.6511 | − | 1860.14i | 0.0242947 | − | 0.757597i | ||||
\(183\) | 1589.62 | 0.642120 | ||||||||
\(184\) | 19.1254 | − | 596.399i | 0.00766272 | − | 0.238952i | ||||
\(185\) | 2947.36 | − | 3245.37i | 1.17132 | − | 1.28975i | ||||
\(186\) | −346.876 | + | 1168.74i | −0.136743 | + | 0.460732i | ||||
\(187\) | 806.922 | − | 454.450i | 0.315551 | − | 0.177715i | ||||
\(188\) | −1729.36 | − | 4699.23i | −0.670886 | − | 1.82301i | ||||
\(189\) | −4868.40 | − | 948.121i | −1.87367 | − | 0.364898i | ||||
\(190\) | −5407.33 | + | 347.162i | −2.06468 | + | 0.132557i | ||||
\(191\) | −1466.76 | + | 1839.26i | −0.555661 | + | 0.696776i | −0.977749 | − | 0.209778i | \(-0.932726\pi\) |
0.422088 | + | 0.906555i | \(0.361297\pi\) | |||||||
\(192\) | −2408.54 | + | 1567.79i | −0.905320 | + | 0.589298i | ||||
\(193\) | 3884.91 | + | 500.904i | 1.44892 | + | 0.186818i | 0.811796 | − | 0.583941i | \(-0.198490\pi\) |
0.637127 | + | 0.770759i | \(0.280123\pi\) | |||||||
\(194\) | 1590.03 | − | 2279.43i | 0.588442 | − | 0.843576i | ||||
\(195\) | 759.537 | + | 48.7639i | 0.278931 | + | 0.0179080i | ||||
\(196\) | 10633.2 | 3.87507 | ||||||||
\(197\) | 2722.26 | − | 484.426i | 0.984533 | − | 0.175198i | ||||
\(198\) | −622.318 | −0.223365 | ||||||||
\(199\) | −831.565 | − | 53.3882i | −0.296221 | − | 0.0190180i | −0.0847500 | − | 0.996402i | \(-0.527009\pi\) |
−0.211471 | + | 0.977384i | \(0.567825\pi\) | |||||||
\(200\) | −1937.39 | + | 2777.39i | −0.684969 | + | 0.981955i | ||||
\(201\) | −2138.68 | − | 275.752i | −0.750502 | − | 0.0967665i | ||||
\(202\) | −4692.67 | + | 3054.59i | −1.63453 | + | 1.06396i | ||||
\(203\) | −4535.70 | + | 5687.59i | −1.56820 | + | 1.96646i | ||||
\(204\) | 4112.66 | − | 264.041i | 1.41149 | − | 0.0906206i | ||||
\(205\) | −5417.88 | − | 1055.13i | −1.84586 | − | 0.359481i | ||||
\(206\) | −499.182 | − | 1356.44i | −0.168833 | − | 0.458774i | ||||
\(207\) | −143.229 | + | 80.6653i | −0.0480924 | + | 0.0270852i | ||||
\(208\) | 135.290 | − | 455.836i | 0.0450993 | − | 0.151954i | ||||
\(209\) | −716.171 | + | 788.584i | −0.237027 | + | 0.260993i | ||||
\(210\) | −317.142 | + | 9889.66i | −0.104214 | + | 3.24977i | ||||
\(211\) | −1751.56 | −0.571480 | −0.285740 | − | 0.958307i | \(-0.592239\pi\) | ||||
−0.285740 | + | 0.958307i | \(0.592239\pi\) | |||||||
\(212\) | 292.319 | − | 9115.59i | 0.0947008 | − | 2.95312i | ||||
\(213\) | 1657.16 | + | 434.560i | 0.533085 | + | 0.139791i | ||||
\(214\) | 402.888 | + | 390.175i | 0.128696 | + | 0.124635i | ||||
\(215\) | 1837.00 | + | 6189.46i | 0.582708 | + | 1.96334i | ||||
\(216\) | −4575.94 | − | 2203.66i | −1.44145 | − | 0.694166i | ||||
\(217\) | −1763.18 | + | 849.102i | −0.551578 | + | 0.265626i | ||||
\(218\) | −867.853 | + | 1431.61i | −0.269626 | + | 0.444776i | ||||
\(219\) | 1208.90 | − | 3284.97i | 0.373013 | − | 1.01360i | ||||
\(220\) | 509.405 | + | 3150.85i | 0.156109 | + | 0.965592i | ||||
\(221\) | 561.232 | − | 543.522i | 0.170826 | − | 0.165436i | ||||
\(222\) | 2383.67 | − | 5384.76i | 0.720638 | − | 1.62793i | ||||
\(223\) | −259.233 | + | 2687.22i | −0.0778454 | + | 0.806949i | 0.871016 | + | 0.491255i | \(0.163462\pi\) |
−0.948861 | + | 0.315694i | \(0.897763\pi\) | |||||||
\(224\) | −2377.30 | − | 623.402i | −0.709107 | − | 0.185950i | ||||
\(225\) | 930.965 | + | 59.7699i | 0.275842 | + | 0.0177096i | ||||
\(226\) | 5719.34 | − | 6297.63i | 1.68338 | − | 1.85359i | ||||
\(227\) | −0.601524 | + | 6.23542i | −0.000175879 | + | 0.00182317i | −0.995467 | − | 0.0951114i | \(-0.969679\pi\) |
0.995291 | + | 0.0969346i | \(0.0309038\pi\) | |||||||
\(228\) | −4393.95 | + | 1778.91i | −1.27630 | + | 0.516716i | ||||
\(229\) | −1990.84 | − | 661.005i | −0.574492 | − | 0.190744i | 0.0130828 | − | 0.999914i | \(-0.495835\pi\) |
−0.587575 | + | 0.809170i | \(0.699917\pi\) | |||||||
\(230\) | 807.085 | + | 1012.05i | 0.231381 | + | 0.290142i | ||||
\(231\) | 1307.81 | + | 1440.05i | 0.372501 | + | 0.410165i | ||||
\(232\) | −5969.97 | + | 4455.51i | −1.68943 | + | 1.26085i | ||||
\(233\) | 263.064 | + | 1152.56i | 0.0739652 | + | 0.324063i | 0.998352 | − | 0.0573947i | \(-0.0182794\pi\) |
−0.924386 | + | 0.381458i | \(0.875422\pi\) | |||||||
\(234\) | −507.836 | + | 133.170i | −0.141873 | + | 0.0372035i | ||||
\(235\) | 4397.55 | + | 2476.65i | 1.22070 | + | 0.687485i | ||||
\(236\) | 3886.77 | + | 2900.77i | 1.07206 | + | 0.800102i | ||||
\(237\) | −1964.79 | + | 795.454i | −0.538509 | + | 0.218018i | ||||
\(238\) | 7296.33 | + | 7066.10i | 1.98719 | + | 1.92449i | ||||
\(239\) | 3030.60 | − | 4344.60i | 0.820224 | − | 1.17585i | −0.161750 | − | 0.986832i | \(-0.551714\pi\) |
0.981973 | − | 0.189020i | \(-0.0605312\pi\) | |||||||
\(240\) | −719.284 | + | 2423.51i | −0.193456 | + | 0.651819i | ||||
\(241\) | 2067.14 | − | 4669.71i | 0.552516 | − | 1.24814i | −0.392087 | − | 0.919928i | \(-0.628247\pi\) |
0.944603 | − | 0.328215i | \(-0.106447\pi\) | |||||||
\(242\) | −4337.13 | − | 3236.88i | −1.15207 | − | 0.859812i | ||||
\(243\) | 234.666 | + | 2432.56i | 0.0619499 | + | 0.642175i | ||||
\(244\) | 2601.24 | + | 4986.10i | 0.682490 | + | 1.30821i | ||||
\(245\) | −8160.72 | + | 6947.33i | −2.12804 | + | 1.81163i | ||||
\(246\) | −7353.39 | + | 948.115i | −1.90583 | + | 0.245730i | ||||
\(247\) | −415.674 | + | 796.768i | −0.107080 | + | 0.205252i | ||||
\(248\) | −1967.00 | + | 383.072i | −0.503647 | + | 0.0980852i | ||||
\(249\) | −501.599 | + | 3102.57i | −0.127661 | + | 0.789627i | ||||
\(250\) | 160.482 | + | 1663.57i | 0.0405991 | + | 0.420852i | ||||
\(251\) | −837.296 | − | 278.001i | −0.210556 | − | 0.0699095i | 0.207885 | − | 0.978153i | \(-0.433342\pi\) |
−0.418442 | + | 0.908244i | \(0.637424\pi\) | |||||||
\(252\) | −1264.84 | − | 4261.66i | −0.316180 | − | 1.06531i | ||||
\(253\) | 252.398 | + | 32.5432i | 0.0627200 | + | 0.00808685i | ||||
\(254\) | −5079.24 | + | 2860.57i | −1.25472 | + | 0.706647i | ||||
\(255\) | −2983.86 | + | 2889.70i | −0.732770 | + | 0.709648i | ||||
\(256\) | −6332.15 | − | 3566.20i | −1.54594 | − | 0.870655i | ||||
\(257\) | 1137.51 | − | 7035.90i | 0.276093 | − | 1.70773i | −0.357372 | − | 0.933962i | \(-0.616327\pi\) |
0.633465 | − | 0.773771i | \(-0.281632\pi\) | |||||||
\(258\) | 4961.62 | + | 7112.86i | 1.19728 | + | 1.71639i | ||||
\(259\) | 8971.24 | − | 2978.66i | 2.15230 | − | 0.714613i | ||||
\(260\) | 1089.95 | + | 2462.21i | 0.259983 | + | 0.587306i | ||||
\(261\) | 1902.18 | + | 770.107i | 0.451119 | + | 0.182638i | ||||
\(262\) | −3892.54 | − | 6421.15i | −0.917869 | − | 1.51412i | ||||
\(263\) | 2425.44 | + | 3477.05i | 0.568665 | + | 0.815224i | 0.996045 | − | 0.0888482i | \(-0.0283186\pi\) |
−0.427380 | + | 0.904072i | \(0.640564\pi\) | |||||||
\(264\) | 921.361 | + | 1766.08i | 0.214795 | + | 0.411721i | ||||
\(265\) | 5731.44 | + | 7186.99i | 1.32860 | + | 1.66601i | ||||
\(266\) | −10526.3 | − | 5069.21i | −2.42636 | − | 1.16847i | ||||
\(267\) | 5278.25 | − | 3435.76i | 1.20983 | − | 0.787509i | ||||
\(268\) | −2634.79 | − | 7159.56i | −0.600542 | − | 1.63187i | ||||
\(269\) | −976.703 | − | 6041.25i | −0.221378 | − | 1.36930i | −0.821873 | − | 0.569671i | \(-0.807070\pi\) |
0.600495 | − | 0.799629i | \(-0.294970\pi\) | |||||||
\(270\) | 10657.6 | − | 2794.75i | 2.40222 | − | 0.629937i | ||||
\(271\) | 6032.48 | − | 1174.83i | 1.35220 | − | 0.263342i | 0.537522 | − | 0.843250i | \(-0.319361\pi\) |
0.814682 | + | 0.579908i | \(0.196912\pi\) | |||||||
\(272\) | 1345.24 | + | 2219.11i | 0.299879 | + | 0.494681i | ||||
\(273\) | 1375.38 | + | 895.274i | 0.304915 | + | 0.198478i | ||||
\(274\) | 1307.45 | − | 5728.29i | 0.288269 | − | 1.26299i | ||||
\(275\) | −1099.71 | − | 936.195i | −0.241145 | − | 0.205290i | ||||
\(276\) | 949.113 | + | 617.804i | 0.206992 | + | 0.134737i | ||||
\(277\) | −3872.70 | + | 1285.83i | −0.840030 | + | 0.278909i | −0.702585 | − | 0.711600i | \(-0.747971\pi\) |
−0.137445 | + | 0.990509i | \(0.543889\pi\) | |||||||
\(278\) | 3266.13 | − | 2780.50i | 0.704639 | − | 0.599868i | ||||
\(279\) | 371.147 | + | 408.674i | 0.0796415 | + | 0.0876941i | ||||
\(280\) | −14653.8 | + | 7056.92i | −3.12762 | + | 1.50618i | ||||
\(281\) | −1600.19 | + | 2006.58i | −0.339713 | + | 0.425987i | −0.922116 | − | 0.386913i | \(-0.873541\pi\) |
0.582403 | + | 0.812900i | \(0.302113\pi\) | |||||||
\(282\) | 6654.34 | + | 1295.93i | 1.40518 | + | 0.273658i | ||||
\(283\) | 2946.40 | − | 8006.32i | 0.618888 | − | 1.68172i | −0.107304 | − | 0.994226i | \(-0.534222\pi\) |
0.726192 | − | 0.687492i | \(-0.241288\pi\) | |||||||
\(284\) | 1348.71 | + | 5909.08i | 0.281800 | + | 1.23465i | ||||
\(285\) | 2209.98 | − | 4236.11i | 0.459326 | − | 0.880441i | ||||
\(286\) | 753.385 | + | 305.012i | 0.155764 | + | 0.0630619i | ||||
\(287\) | −9062.41 | − | 7714.94i | −1.86389 | − | 1.58676i | ||||
\(288\) | 22.2213 | + | 692.943i | 0.00454654 | + | 0.141778i | ||||
\(289\) | −20.8048 | − | 648.771i | −0.00423465 | − | 0.132052i | ||||
\(290\) | 3595.97 | − | 15755.0i | 0.728147 | − | 3.19022i | ||||
\(291\) | 991.994 | + | 2240.93i | 0.199834 | + | 0.451429i | ||||
\(292\) | 12282.1 | − | 1583.60i | 2.46149 | − | 0.317374i | ||||
\(293\) | −931.802 | + | 695.422i | −0.185790 | + | 0.138659i | −0.686974 | − | 0.726682i | \(-0.741061\pi\) |
0.501184 | + | 0.865341i | \(0.332898\pi\) | |||||||
\(294\) | −7462.82 | + | 12310.7i | −1.48041 | + | 2.44209i | ||||
\(295\) | −4878.26 | + | 313.195i | −0.962791 | + | 0.0618132i | ||||
\(296\) | 9659.79 | − | 620.179i | 1.89684 | − | 0.121781i | ||||
\(297\) | 1122.89 | − | 1852.32i | 0.219382 | − | 0.361894i | ||||
\(298\) | −5227.69 | + | 3901.53i | −1.01622 | + | 0.758421i | ||||
\(299\) | 212.931 | − | 27.4544i | 0.0411843 | − | 0.00531013i | ||||
\(300\) | −2601.49 | − | 5876.81i | −0.500657 | − | 1.13099i | ||||
\(301\) | −3097.75 | + | 13572.1i | −0.593194 | + | 2.59895i | ||||
\(302\) | −2.76982 | − | 86.3733i | −0.000527767 | − | 0.0164577i | ||||
\(303\) | −158.250 | − | 4934.82i | −0.0300041 | − | 0.935637i | ||||
\(304\) | −2272.89 | − | 1934.94i | −0.428812 | − | 0.365053i | ||||
\(305\) | −5254.12 | − | 2127.16i | −0.986394 | − | 0.399347i | ||||
\(306\) | 1325.29 | − | 2540.34i | 0.247588 | − | 0.474580i | ||||
\(307\) | −1524.12 | − | 6677.59i | −0.283342 | − | 1.24140i | −0.893479 | − | 0.449105i | \(-0.851743\pi\) |
0.610138 | − | 0.792296i | \(-0.291114\pi\) | |||||||
\(308\) | −2376.84 | + | 6458.65i | −0.439718 | + | 1.19486i | ||||
\(309\) | 1251.01 | + | 243.634i | 0.230316 | + | 0.0448540i | ||||
\(310\) | 2710.48 | − | 3398.83i | 0.496596 | − | 0.622712i | ||||
\(311\) | −1345.18 | + | 647.807i | −0.245268 | + | 0.118115i | −0.552480 | − | 0.833526i | \(-0.686318\pi\) |
0.307212 | + | 0.951641i | \(0.400604\pi\) | |||||||
\(312\) | 1129.79 | + | 1244.02i | 0.205006 | + | 0.225734i | ||||
\(313\) | 6942.93 | − | 5910.60i | 1.25379 | − | 1.06737i | 0.258957 | − | 0.965889i | \(-0.416621\pi\) |
0.994837 | − | 0.101482i | \(-0.0323585\pi\) | |||||||
\(314\) | 4205.18 | − | 1396.22i | 0.755771 | − | 0.250933i | ||||
\(315\) | 3755.14 | + | 2444.33i | 0.671677 | + | 0.437213i | ||||
\(316\) | −5710.24 | − | 4861.20i | −1.01654 | − | 0.865392i | ||||
\(317\) | −1234.19 | + | 5407.32i | −0.218671 | + | 0.958061i | 0.739790 | + | 0.672838i | \(0.234925\pi\) |
−0.958461 | + | 0.285223i | \(0.907932\pi\) | |||||||
\(318\) | 10348.5 | + | 6736.14i | 1.82489 | + | 1.18787i | ||||
\(319\) | −1646.95 | − | 2716.82i | −0.289065 | − | 0.476843i | ||||
\(320\) | 10058.8 | − | 1958.96i | 1.75721 | − | 0.342216i | ||||
\(321\) | −478.379 | + | 125.446i | −0.0831792 | + | 0.0218121i | ||||
\(322\) | 445.465 | + | 2755.36i | 0.0770957 | + | 0.476864i | ||||
\(323\) | −1693.88 | − | 4602.82i | −0.291796 | − | 0.792904i | ||||
\(324\) | 4980.89 | − | 3242.20i | 0.854062 | − | 0.555933i | ||||
\(325\) | −1097.74 | − | 528.644i | −0.187359 | − | 0.0902274i | ||||
\(326\) | 7898.22 | + | 9904.05i | 1.34185 | + | 1.68262i | ||||
\(327\) | −682.810 | − | 1308.82i | −0.115472 | − | 0.221339i | ||||
\(328\) | −6972.52 | − | 9995.63i | −1.17376 | − | 1.68267i | ||||
\(329\) | 5641.36 | + | 9306.01i | 0.945344 | + | 1.55944i | ||||
\(330\) | −4005.46 | − | 1621.63i | −0.668162 | − | 0.270509i | ||||
\(331\) | −3836.80 | − | 8667.40i | −0.637129 | − | 1.43929i | −0.882714 | − | 0.469911i | \(-0.844286\pi\) |
0.245585 | − | 0.969375i | \(-0.421020\pi\) | |||||||
\(332\) | −10552.5 | + | 3503.68i | −1.74441 | + | 0.579185i | ||||
\(333\) | −1525.60 | − | 2187.06i | −0.251058 | − | 0.359911i | ||||
\(334\) | −2723.52 | + | 16845.9i | −0.446181 | + | 2.75979i | ||||
\(335\) | 6699.93 | + | 3773.33i | 1.09270 | + | 0.615400i | ||||
\(336\) | −3915.64 | + | 3792.09i | −0.635761 | + | 0.615700i | ||||
\(337\) | −5263.77 | + | 2964.50i | −0.850847 | + | 0.479188i | −0.853674 | − | 0.520808i | \(-0.825631\pi\) |
0.00282658 | + | 0.999996i | \(0.499100\pi\) | |||||||
\(338\) | −9756.83 | − | 1258.00i | −1.57012 | − | 0.202445i | ||||
\(339\) | 2134.38 | + | 7191.42i | 0.341957 | + | 1.15217i | ||||
\(340\) | −13946.8 | − | 4630.65i | −2.22462 | − | 0.738625i | ||||
\(341\) | −82.0671 | − | 850.711i | −0.0130328 | − | 0.135099i | ||||
\(342\) | −526.012 | + | 3253.57i | −0.0831680 | + | 0.514423i | ||||
\(343\) | −11749.5 | + | 2288.21i | −1.84959 | + | 0.360209i | ||||
\(344\) | −6593.62 | + | 12638.7i | −1.03344 | + | 1.98092i | ||||
\(345\) | −1132.07 | + | 145.965i | −0.176663 | + | 0.0227782i | ||||
\(346\) | 7036.14 | − | 5989.96i | 1.09325 | − | 0.930700i | ||||
\(347\) | 3805.00 | + | 7293.48i | 0.588655 | + | 1.12834i | 0.978264 | + | 0.207361i | \(0.0664876\pi\) |
−0.389609 | + | 0.920980i | \(0.627390\pi\) | |||||||
\(348\) | −1357.56 | − | 14072.5i | −0.209117 | − | 2.16772i | ||||
\(349\) | −6679.62 | − | 4985.13i | −1.02450 | − | 0.764608i | −0.0522740 | − | 0.998633i | \(-0.516647\pi\) |
−0.972231 | + | 0.234025i | \(0.924810\pi\) | |||||||
\(350\) | 6411.73 | − | 14484.2i | 0.979204 | − | 2.21204i | ||||
\(351\) | 519.940 | − | 1751.85i | 0.0790665 | − | 0.266401i | ||||
\(352\) | 614.069 | − | 880.314i | 0.0929829 | − | 0.133298i | ||||
\(353\) | −2730.13 | − | 2643.98i | −0.411643 | − | 0.398654i | 0.460694 | − | 0.887559i | \(-0.347601\pi\) |
−0.872337 | + | 0.488905i | \(0.837397\pi\) | |||||||
\(354\) | −6086.30 | + | 2464.07i | −0.913795 | + | 0.369955i | ||||
\(355\) | −4895.87 | − | 3653.89i | −0.731961 | − | 0.546276i | ||||
\(356\) | 19414.1 | + | 10933.8i | 2.89030 | + | 1.62779i | ||||
\(357\) | −8663.48 | + | 2271.83i | −1.28437 | + | 0.336801i | ||||
\(358\) | 591.734 | + | 2592.55i | 0.0873578 | + | 0.382740i | ||||
\(359\) | 8493.33 | − | 6338.74i | 1.24864 | − | 0.931883i | 0.249306 | − | 0.968425i | \(-0.419798\pi\) |
0.999332 | + | 0.0365422i | \(0.0116343\pi\) | |||||||
\(360\) | 3084.61 | + | 3396.50i | 0.451593 | + | 0.497254i | ||||
\(361\) | −759.030 | − | 951.794i | −0.110662 | − | 0.138766i | ||||
\(362\) | −5148.84 | − | 1709.53i | −0.747561 | − | 0.248207i | ||||
\(363\) | 4423.34 | − | 1790.81i | 0.639574 | − | 0.258935i | ||||
\(364\) | −557.506 | + | 5779.13i | −0.0802781 | + | 0.832167i | ||||
\(365\) | −8391.55 | + | 9240.02i | −1.20338 | + | 1.32505i | ||||
\(366\) | −7598.38 | − | 487.832i | −1.08517 | − | 0.0696705i | ||||
\(367\) | 5681.76 | + | 1489.93i | 0.808135 | + | 0.211918i | 0.634531 | − | 0.772897i | \(-0.281193\pi\) |
0.173604 | + | 0.984815i | \(0.444459\pi\) | |||||||
\(368\) | −68.4744 | + | 709.808i | −0.00969965 | + | 0.100547i | ||||
\(369\) | −1359.01 | + | 3070.03i | −0.191727 | + | 0.433115i | ||||
\(370\) | −15084.3 | + | 14608.4i | −2.11945 | + | 2.05258i | ||||
\(371\) | 3163.43 | + | 19566.9i | 0.442687 | + | 2.73818i | ||||
\(372\) | 1313.51 | − | 3569.23i | 0.183071 | − | 0.497462i | ||||
\(373\) | −2477.60 | + | 4087.06i | −0.343928 | + | 0.567346i | −0.978685 | − | 0.205366i | \(-0.934161\pi\) |
0.634757 | + | 0.772712i | \(0.281100\pi\) | |||||||
\(374\) | −3996.56 | + | 1924.64i | −0.552559 | + | 0.266098i | ||||
\(375\) | −1327.78 | − | 639.425i | −0.182843 | − | 0.0880526i | ||||
\(376\) | 3170.66 | + | 10683.0i | 0.434878 | + | 1.46525i | ||||
\(377\) | −1925.35 | − | 1864.60i | −0.263026 | − | 0.254726i | ||||
\(378\) | 22980.0 | + | 6026.07i | 3.12689 | + | 0.819967i | ||||
\(379\) | 77.7792 | − | 2425.44i | 0.0105416 | − | 0.328724i | −0.980608 | − | 0.195977i | \(-0.937212\pi\) |
0.991150 | − | 0.132747i | \(-0.0423798\pi\) | |||||||
\(380\) | 16903.7 | 2.28195 | ||||||||
\(381\) | 164.754 | − | 5137.63i | 0.0221538 | − | 0.690837i | ||||
\(382\) | 7575.57 | − | 8341.55i | 1.01466 | − | 1.11725i | ||||
\(383\) | 3166.36 | − | 10668.5i | 0.422437 | − | 1.42333i | −0.431102 | − | 0.902303i | \(-0.641875\pi\) |
0.853539 | − | 0.521028i | \(-0.174451\pi\) | |||||||
\(384\) | 9765.87 | − | 5500.04i | 1.29782 | − | 0.730918i | ||||
\(385\) | −2395.67 | − | 6509.81i | −0.317129 | − | 0.861741i | ||||
\(386\) | −18416.2 | − | 3586.55i | −2.42839 | − | 0.472929i | ||||
\(387\) | 3919.03 | − | 251.610i | 0.514768 | − | 0.0330492i | ||||
\(388\) | −5405.75 | + | 6778.60i | −0.707308 | + | 0.886936i | ||||
\(389\) | −10257.2 | + | 6676.72i | −1.33692 | + | 0.870239i | −0.997519 | − | 0.0704024i | \(-0.977572\pi\) |
−0.339402 | + | 0.940641i | \(0.610225\pi\) | |||||||
\(390\) | −3615.62 | − | 466.183i | −0.469447 | − | 0.0605284i | ||||
\(391\) | −670.353 | + | 961.001i | −0.0867038 | + | 0.124296i | ||||
\(392\) | −23615.0 | − | 1516.13i | −3.04270 | − | 0.195348i | ||||
\(393\) | 6621.23 | 0.849864 | ||||||||
\(394\) | −13161.1 | + | 1480.14i | −1.68286 | + | 0.189259i | ||||
\(395\) | 7558.60 | 0.962822 | ||||||||
\(396\) | 1937.42 | + | 124.387i | 0.245857 | + | 0.0157845i | ||||
\(397\) | 639.352 | − | 916.560i | 0.0808266 | − | 0.115871i | −0.777710 | − | 0.628623i | \(-0.783619\pi\) |
0.858537 | + | 0.512752i | \(0.171374\pi\) | |||||||
\(398\) | 3958.50 | + | 510.392i | 0.498547 | + | 0.0642805i | ||||
\(399\) | 8634.19 | − | 5620.23i | 1.08333 | − | 0.705172i | ||||
\(400\) | 2523.21 | − | 3164.00i | 0.315401 | − | 0.395501i | ||||
\(401\) | −14511.2 | + | 931.653i | −1.80712 | + | 0.116021i | −0.930761 | − | 0.365629i | \(-0.880854\pi\) |
−0.876364 | + | 0.481650i | \(0.840038\pi\) | |||||||
\(402\) | 10138.3 | + | 1974.43i | 1.25784 | + | 0.244964i | ||||
\(403\) | −249.014 | − | 676.652i | −0.0307798 | − | 0.0836387i | ||||
\(404\) | 15219.9 | − | 8571.70i | 1.87430 | − | 1.05559i | ||||
\(405\) | −1704.39 | + | 5742.64i | −0.209115 | + | 0.704578i | ||||
\(406\) | 23426.1 | − | 25794.8i | 2.86359 | − | 3.15313i | ||||
\(407\) | −132.317 | + | 4126.15i | −0.0161148 | + | 0.502520i | ||||
\(408\) | −9171.36 | −1.11287 | ||||||||
\(409\) | −209.040 | + | 6518.63i | −0.0252723 | + | 0.788082i | 0.905898 | + | 0.423497i | \(0.139197\pi\) |
−0.931170 | + | 0.364586i | \(0.881211\pi\) | |||||||
\(410\) | 25573.7 | + | 6706.21i | 3.08048 | + | 0.807796i | ||||
\(411\) | 3721.80 | + | 3604.36i | 0.446674 | + | 0.432579i | ||||
\(412\) | 1282.95 | + | 4322.68i | 0.153414 | + | 0.516901i | ||||
\(413\) | −9496.41 | − | 4573.23i | −1.13145 | − | 0.544876i | ||||
\(414\) | 709.392 | − | 341.625i | 0.0842143 | − | 0.0405555i | ||||
\(415\) | 5809.64 | − | 9583.61i | 0.687190 | − | 1.13359i | ||||
\(416\) | 312.725 | − | 849.775i | 0.0368572 | − | 0.100153i | ||||
\(417\) | 603.660 | + | 3733.85i | 0.0708905 | + | 0.438483i | ||||
\(418\) | 3665.30 | − | 3549.65i | 0.428890 | − | 0.415357i | ||||
\(419\) | 2588.49 | − | 5847.45i | 0.301805 | − | 0.681782i | −0.697593 | − | 0.716495i | \(-0.745745\pi\) |
0.999397 | + | 0.0347125i | \(0.0110516\pi\) | |||||||
\(420\) | 2964.05 | − | 30725.4i | 0.344359 | − | 3.56964i | ||||
\(421\) | 11262.3 | + | 2953.32i | 1.30378 | + | 0.341891i | 0.839288 | − | 0.543687i | \(-0.182972\pi\) |
0.464490 | + | 0.885578i | \(0.346237\pi\) | |||||||
\(422\) | 8372.46 | + | 537.530i | 0.965794 | + | 0.0620060i | ||||
\(423\) | 2063.88 | − | 2272.56i | 0.237232 | − | 0.261219i | ||||
\(424\) | −1948.95 | + | 20202.9i | −0.223230 | + | 2.31401i | ||||
\(425\) | 6163.55 | − | 2495.34i | 0.703473 | − | 0.284805i | ||||
\(426\) | −7787.89 | − | 2585.76i | −0.885739 | − | 0.294086i | ||||
\(427\) | −7620.45 | − | 9555.74i | −0.863652 | − | 1.08298i | ||||
\(428\) | −1176.30 | − | 1295.24i | −0.132847 | − | 0.146279i | ||||
\(429\) | −574.377 | + | 428.669i | −0.0646415 | + | 0.0482432i | ||||
\(430\) | −6881.40 | − | 30149.4i | −0.771745 | − | 3.38124i | ||||
\(431\) | −2635.91 | + | 691.217i | −0.294588 | + | 0.0772500i | −0.397990 | − | 0.917390i | \(-0.630292\pi\) |
0.103403 | + | 0.994640i | \(0.467027\pi\) | |||||||
\(432\) | 5288.59 | + | 2978.48i | 0.588998 | + | 0.331718i | ||||
\(433\) | −9663.85 | − | 7212.32i | −1.07255 | − | 0.800466i | −0.0918102 | − | 0.995777i | \(-0.529265\pi\) |
−0.980741 | + | 0.195310i | \(0.937429\pi\) | |||||||
\(434\) | 8688.58 | − | 3517.62i | 0.960979 | − | 0.389057i | ||||
\(435\) | 10236.4 | + | 9913.36i | 1.12827 | + | 1.09267i | ||||
\(436\) | 2987.98 | − | 4283.49i | 0.328207 | − | 0.470509i | ||||
\(437\) | 383.479 | − | 1292.07i | 0.0419778 | − | 0.141437i | ||||
\(438\) | −6786.65 | + | 15331.2i | −0.740363 | + | 1.67249i | ||||
\(439\) | −2073.40 | − | 1547.42i | −0.225417 | − | 0.168233i | 0.479457 | − | 0.877565i | \(-0.340833\pi\) |
−0.704875 | + | 0.709332i | \(0.748997\pi\) | |||||||
\(440\) | −682.062 | − | 7070.29i | −0.0739001 | − | 0.766052i | ||||
\(441\) | 3015.26 | + | 5779.68i | 0.325587 | + | 0.624088i | ||||
\(442\) | −2849.49 | + | 2425.81i | −0.306643 | + | 0.261049i | ||||
\(443\) | 12584.9 | − | 1622.64i | 1.34972 | − | 0.174027i | 0.581150 | − | 0.813796i | \(-0.302603\pi\) |
0.768567 | + | 0.639769i | \(0.220970\pi\) | |||||||
\(444\) | −8497.22 | + | 16287.6i | −0.908244 | + | 1.74093i | ||||
\(445\) | −22043.6 | + | 4293.00i | −2.34824 | + | 0.457320i | ||||
\(446\) | 2063.81 | − | 12765.4i | 0.219112 | − | 1.35529i | ||||
\(447\) | −552.323 | − | 5725.41i | −0.0584430 | − | 0.605822i | ||||
\(448\) | 20970.8 | + | 6962.77i | 2.21155 | + | 0.734286i | ||||
\(449\) | −3004.83 | − | 10124.3i | −0.315828 | − | 1.06413i | −0.955379 | − | 0.295381i | \(-0.904553\pi\) |
0.639551 | − | 0.768748i | \(-0.279120\pi\) | |||||||
\(450\) | −4431.67 | − | 571.401i | −0.464247 | − | 0.0598580i | ||||
\(451\) | 4528.86 | − | 2550.61i | 0.472851 | − | 0.266305i | ||||
\(452\) | −19064.4 | + | 18462.8i | −1.98388 | + | 1.92128i | ||||
\(453\) | 66.3964 | + | 37.3938i | 0.00688648 | + | 0.00387839i | ||||
\(454\) | 4.78885 | − | 29.6207i | 0.000495048 | − | 0.00306205i | ||||
\(455\) | −3347.99 | − | 4799.60i | −0.344959 | − | 0.494525i | ||||
\(456\) | 10012.1 | − | 3324.24i | 1.02820 | − | 0.341385i | ||||
\(457\) | 2852.28 | + | 6443.34i | 0.291956 | + | 0.659534i | 0.998858 | − | 0.0477778i | \(-0.0152139\pi\) |
−0.706902 | + | 0.707312i | \(0.749908\pi\) | |||||||
\(458\) | 9313.38 | + | 3770.57i | 0.950188 | + | 0.384688i | ||||
\(459\) | 5169.97 | + | 8528.40i | 0.525737 | + | 0.867258i | ||||
\(460\) | −2310.36 | − | 3312.07i | −0.234176 | − | 0.335709i | ||||
\(461\) | −8430.99 | − | 16160.6i | −0.851779 | − | 1.63270i | −0.771766 | − | 0.635907i | \(-0.780626\pi\) |
−0.0800135 | − | 0.996794i | \(-0.525496\pi\) | |||||||
\(462\) | −5809.42 | − | 7284.78i | −0.585018 | − | 0.733590i | ||||
\(463\) | 3561.81 | + | 1715.28i | 0.357520 | + | 0.172172i | 0.604018 | − | 0.796971i | \(-0.293566\pi\) |
−0.246498 | + | 0.969143i | \(0.579280\pi\) | |||||||
\(464\) | 7461.01 | − | 4856.58i | 0.746484 | − | 0.485908i | ||||
\(465\) | 1323.91 | + | 3597.50i | 0.132032 | + | 0.358774i | ||||
\(466\) | −903.743 | − | 5589.97i | −0.0898392 | − | 0.555687i | ||||
\(467\) | 1348.93 | − | 353.732i | 0.133664 | − | 0.0350509i | −0.186216 | − | 0.982509i | \(-0.559623\pi\) |
0.319881 | + | 0.947458i | \(0.396357\pi\) | |||||||
\(468\) | 1607.63 | − | 313.086i | 0.158788 | − | 0.0309239i | ||||
\(469\) | 8594.95 | + | 14178.3i | 0.846221 | + | 1.39593i | ||||
\(470\) | −20260.2 | − | 13188.0i | −1.98837 | − | 1.29429i | ||||
\(471\) | −869.417 | + | 3809.17i | −0.0850544 | + | 0.372648i | ||||
\(472\) | −8218.43 | − | 6996.46i | −0.801449 | − | 0.682284i | ||||
\(473\) | −5095.33 | − | 3316.70i | −0.495314 | − | 0.322414i | ||||
\(474\) | 9635.80 | − | 3199.31i | 0.933728 | − | 0.310019i | ||||
\(475\) | −5824.08 | + | 4958.11i | −0.562584 | + | 0.478934i | ||||
\(476\) | −21302.9 | − | 23456.8i | −2.05129 | − | 2.25870i | ||||
\(477\) | 5037.68 | − | 2426.02i | 0.483563 | − | 0.232872i | ||||
\(478\) | −15819.6 | + | 19837.1i | −1.51375 | + | 1.89818i | ||||
\(479\) | 15909.8 | + | 3098.42i | 1.51761 | + | 0.295555i | 0.880063 | − | 0.474857i | \(-0.157500\pi\) |
0.637547 | + | 0.770411i | \(0.279949\pi\) | |||||||
\(480\) | −1662.64 | + | 4517.93i | −0.158102 | + | 0.429613i | ||||
\(481\) | 774.980 | + | 3395.41i | 0.0734637 | + | 0.321865i | ||||
\(482\) | −11314.0 | + | 21686.9i | −1.06917 | + | 2.04940i | ||||
\(483\) | −2281.32 | − | 923.605i | −0.214915 | − | 0.0870093i | ||||
\(484\) | 12855.5 | + | 10944.1i | 1.20732 | + | 1.02780i | ||||
\(485\) | −280.093 | − | 8734.33i | −0.0262234 | − | 0.817744i | ||||
\(486\) | −375.185 | − | 11699.6i | −0.0350180 | − | 1.09199i | ||||
\(487\) | −666.582 | + | 2920.49i | −0.0620241 | + | 0.271745i | −0.996425 | − | 0.0844767i | \(-0.973078\pi\) |
0.934401 | + | 0.356222i | \(0.115935\pi\) | |||||||
\(488\) | −5066.10 | − | 11444.4i | −0.469942 | − | 1.06161i | ||||
\(489\) | −11078.6 | + | 1428.42i | −1.02452 | + | 0.132097i | ||||
\(490\) | 41140.3 | − | 30703.8i | 3.79292 | − | 2.83073i | ||||
\(491\) | −7657.81 | + | 12632.4i | −0.703853 | + | 1.16108i | 0.275961 | + | 0.961169i | \(0.411004\pi\) |
−0.979814 | + | 0.199911i | \(0.935935\pi\) | |||||||
\(492\) | 23082.3 | − | 1481.94i | 2.11511 | − | 0.135794i | ||||
\(493\) | 14597.6 | − | 937.196i | 1.33355 | − | 0.0856170i | ||||
\(494\) | 2231.44 | − | 3680.99i | 0.203233 | − | 0.335254i | ||||
\(495\) | −1568.20 | + | 1170.38i | −0.142394 | + | 0.106272i | ||||
\(496\) | 2375.19 | − | 306.247i | 0.215019 | − | 0.0277236i | ||||
\(497\) | −5331.97 | − | 12045.0i | −0.481230 | − | 1.08711i | ||||
\(498\) | 3349.78 | − | 14676.3i | 0.301420 | − | 1.32061i | ||||
\(499\) | 685.907 | + | 21389.1i | 0.0615339 | + | 1.91885i | 0.310897 | + | 0.950444i | \(0.399371\pi\) |
−0.249363 | + | 0.968410i | \(0.580221\pi\) | |||||||
\(500\) | −167.111 | − | 5211.15i | −0.0149469 | − | 0.466099i | ||||
\(501\) | −11457.8 | − | 9754.18i | −1.02175 | − | 0.869830i | ||||
\(502\) | 3916.96 | + | 1585.80i | 0.348252 | + | 0.140992i | ||||
\(503\) | −4131.55 | + | 7919.42i | −0.366236 | + | 0.702007i | −0.997277 | − | 0.0737430i | \(-0.976506\pi\) |
0.631041 | + | 0.775750i | \(0.282628\pi\) | |||||||
\(504\) | 2201.40 | + | 9644.97i | 0.194560 | + | 0.852423i | ||||
\(505\) | −6080.50 | + | 16522.7i | −0.535800 | + | 1.45594i | ||||
\(506\) | −1196.48 | − | 233.014i | −0.105118 | − | 0.0204718i | ||||
\(507\) | 5408.58 | − | 6782.14i | 0.473774 | − | 0.594094i | ||||
\(508\) | 16384.6 | − | 7890.42i | 1.43100 | − | 0.689136i | ||||
\(509\) | 11897.6 | + | 13100.6i | 1.03606 | + | 1.14081i | 0.989884 | + | 0.141881i | \(0.0453150\pi\) |
0.0461737 | + | 0.998933i | \(0.485297\pi\) | |||||||
\(510\) | 15149.7 | − | 12897.1i | 1.31537 | − | 1.11979i | ||||
\(511\) | −25542.4 | + | 8480.66i | −2.21121 | + | 0.734173i | ||||
\(512\) | 11381.2 | + | 7408.33i | 0.982387 | + | 0.639463i | ||||
\(513\) | −8735.07 | − | 7436.27i | −0.751779 | − | 0.639999i | ||||
\(514\) | −7596.52 | + | 33282.5i | −0.651884 | + | 2.85609i | ||||
\(515\) | −3808.91 | − | 2479.33i | −0.325904 | − | 0.212140i | ||||
\(516\) | −14025.0 | − | 23135.7i | −1.19654 | − | 1.97382i | ||||
\(517\) | −4664.97 | + | 908.502i | −0.396838 | + | 0.0772841i | ||||
\(518\) | −43796.7 | + | 11484.8i | −3.71489 | + | 0.974160i | ||||
\(519\) | 1300.45 | + | 8043.73i | 0.109987 | + | 0.680309i | ||||
\(520\) | −2069.56 | − | 5623.67i | −0.174532 | − | 0.474258i | ||||
\(521\) | 9193.45 | − | 5984.27i | 0.773076 | − | 0.503216i | −0.0975094 | − | 0.995235i | \(-0.531088\pi\) |
0.870585 | + | 0.492018i | \(0.163741\pi\) | |||||||
\(522\) | −8856.09 | − | 4264.87i | −0.742568 | − | 0.357602i | ||||
\(523\) | −2215.09 | − | 2777.63i | −0.185199 | − | 0.232232i | 0.680561 | − | 0.732691i | \(-0.261736\pi\) |
−0.865760 | + | 0.500459i | \(0.833165\pi\) | |||||||
\(524\) | 10834.9 | + | 20768.6i | 0.903295 | + | 1.73145i | ||||
\(525\) | 7991.01 | + | 11455.7i | 0.664298 | + | 0.952321i | ||||
\(526\) | −10526.5 | − | 17364.6i | −0.872583 | − | 1.43942i | ||||
\(527\) | 3647.42 | + | 1476.68i | 0.301488 | + | 0.122059i | ||||
\(528\) | −963.601 | − | 2176.79i | −0.0794230 | − | 0.179418i | ||||
\(529\) | 11241.6 | − | 3732.46i | 0.923940 | − | 0.306769i | ||||
\(530\) | −25190.7 | − | 36112.8i | −2.06455 | − | 2.95969i | ||||
\(531\) | −474.545 | + | 2935.23i | −0.0387825 | + | 0.239884i | ||||
\(532\) | 31757.7 | + | 17885.6i | 2.58811 | + | 1.45759i | ||||
\(533\) | 3149.92 | − | 3050.53i | 0.255981 | − | 0.247904i | ||||
\(534\) | −26284.4 | + | 14803.1i | −2.13003 | + | 1.19961i | ||||
\(535\) | 1749.04 | + | 225.514i | 0.141341 | + | 0.0182239i | ||||
\(536\) | 4830.69 | + | 16276.2i | 0.389280 | + | 1.31161i | ||||
\(537\) | −2225.42 | − | 738.890i | −0.178834 | − | 0.0593770i | ||||
\(538\) | 2814.67 | + | 29177.0i | 0.225555 | + | 2.33812i | ||||
\(539\) | 1610.72 | − | 9962.89i | 0.128718 | − | 0.796163i | ||||
\(540\) | −33738.2 | + | 6570.51i | −2.68863 | + | 0.523610i | ||||
\(541\) | 2605.24 | − | 4993.77i | 0.207039 | − | 0.396855i | −0.760590 | − | 0.649233i | \(-0.775090\pi\) |
0.967629 | + | 0.252378i | \(0.0812125\pi\) | |||||||
\(542\) | −29195.8 | + | 3764.38i | −2.31378 | + | 0.298329i | ||||
\(543\) | 3642.68 | − | 3101.06i | 0.287887 | − | 0.245081i | ||||
\(544\) | 2285.77 | + | 4381.39i | 0.180150 | + | 0.345313i | ||||
\(545\) | 505.469 | + | 5239.71i | 0.0397283 | + | 0.411825i | ||||
\(546\) | −6299.58 | − | 4701.50i | −0.493768 | − | 0.368508i | ||||
\(547\) | 7151.44 | − | 16155.2i | 0.559001 | − | 1.26279i | −0.381929 | − | 0.924192i | \(-0.624740\pi\) |
0.940930 | − | 0.338601i | \(-0.109954\pi\) | |||||||
\(548\) | −5215.33 | + | 17572.2i | −0.406548 | + | 1.36979i | ||||
\(549\) | −1972.56 | + | 2827.82i | −0.153346 | + | 0.219833i | ||||
\(550\) | 4969.30 | + | 4812.50i | 0.385258 | + | 0.373101i | ||||
\(551\) | −15596.0 | + | 6314.12i | −1.20583 | + | 0.488186i | ||||
\(552\) | −2019.77 | − | 1507.40i | −0.155738 | − | 0.116230i | ||||
\(553\) | 14200.7 | + | 7997.69i | 1.09200 | + | 0.615002i | ||||
\(554\) | 18906.1 | − | 4957.77i | 1.44990 | − | 0.380209i | ||||
\(555\) | −4120.27 | − | 18052.1i | −0.315128 | − | 1.38066i | ||||
\(556\) | −10724.0 | + | 8003.53i | −0.817984 | + | 0.610477i | ||||
\(557\) | 12694.4 | + | 13978.0i | 0.965674 | + | 1.06331i | 0.997960 | + | 0.0638359i | \(0.0203334\pi\) |
−0.0322862 | + | 0.999479i | \(0.510279\pi\) | |||||||
\(558\) | −1648.67 | − | 2067.36i | −0.125078 | − | 0.156843i | ||||
\(559\) | −4867.73 | − | 1616.20i | −0.368306 | − | 0.122286i | ||||
\(560\) | 18016.7 | − | 7294.14i | 1.35954 | − | 0.550418i | ||||
\(561\) | 375.592 | − | 3893.40i | 0.0282665 | − | 0.293012i | ||||
\(562\) | 8264.71 | − | 9100.37i | 0.620331 | − | 0.683053i | ||||
\(563\) | 7636.43 | + | 490.275i | 0.571647 | + | 0.0367010i | 0.347210 | − | 0.937788i | \(-0.387129\pi\) |
0.224437 | + | 0.974489i | \(0.427946\pi\) | |||||||
\(564\) | −20457.5 | − | 5364.58i | −1.52733 | − | 0.400514i | ||||
\(565\) | 2568.55 | − | 26625.8i | 0.191256 | − | 1.98257i | ||||
\(566\) | −16540.8 | + | 37366.0i | −1.22838 | + | 2.77493i | ||||
\(567\) | −9278.34 | + | 8985.58i | −0.687220 | + | 0.665536i | ||||
\(568\) | −2152.77 | − | 13315.7i | −0.159029 | − | 0.983649i | ||||
\(569\) | 1317.36 | − | 3579.68i | 0.0970588 | − | 0.263740i | −0.880628 | − | 0.473809i | \(-0.842879\pi\) |
0.977687 | + | 0.210068i | \(0.0673687\pi\) | |||||||
\(570\) | −11863.7 | + | 19570.4i | −0.871783 | + | 1.43810i | ||||
\(571\) | 15084.6 | − | 7264.35i | 1.10555 | − | 0.532406i | 0.210152 | − | 0.977669i | \(-0.432604\pi\) |
0.895400 | + | 0.445263i | \(0.146890\pi\) | |||||||
\(572\) | −2284.50 | − | 1100.16i | −0.166992 | − | 0.0804193i | ||||
\(573\) | 2827.10 | + | 9525.43i | 0.206115 | + | 0.694469i | ||||
\(574\) | 40950.8 | + | 39658.6i | 2.97779 | + | 2.88383i | ||||
\(575\) | 1767.51 | + | 463.495i | 0.128192 | + | 0.0336158i | ||||
\(576\) | 199.787 | − | 6230.10i | 0.0144522 | − | 0.450673i | ||||
\(577\) | 7677.41 | 0.553925 | 0.276963 | − | 0.960881i | \(-0.410672\pi\) | ||||
0.276963 | + | 0.960881i | \(0.410672\pi\) | |||||||
\(578\) | −99.6519 | + | 3107.51i | −0.00717123 | + | 0.223625i | ||||
\(579\) | 11122.7 | − | 12247.4i | 0.798350 | − | 0.879072i | ||||
\(580\) | −14344.2 | + | 48330.2i | −1.02691 | + | 3.46000i | ||||
\(581\) | 21055.2 | − | 11858.1i | 1.50347 | − | 0.846739i | ||||
\(582\) | −4054.02 | − | 11016.1i | −0.288736 | − | 0.784590i | ||||
\(583\) | −8496.68 | − | 1654.73i | −0.603596 | − | 0.117550i | ||||
\(584\) | −27502.8 | + | 1765.74i | −1.94876 | + | 0.125114i | ||||
\(585\) | −1029.26 | + | 1290.65i | −0.0727430 | + | 0.0912168i | ||||
\(586\) | 4667.44 | − | 3038.16i | 0.329027 | − | 0.214173i | ||||
\(587\) | 8897.20 | + | 1147.17i | 0.625599 | + | 0.0806621i | 0.434150 | − | 0.900841i | \(-0.357049\pi\) |
0.191449 | + | 0.981503i | \(0.438681\pi\) | |||||||
\(588\) | 25694.1 | − | 36834.5i | 1.80206 | − | 2.58338i | ||||
\(589\) | −4517.01 | − | 290.001i | −0.315993 | − | 0.0202874i | ||||
\(590\) | 23414.2 | 1.63381 | ||||||||
\(591\) | 4899.99 | − | 10600.8i | 0.341047 | − | 0.737830i | ||||
\(592\) | −11567.9 | −0.803102 | ||||||||
\(593\) | −11918.7 | − | 765.203i | −0.825364 | − | 0.0529901i | −0.354347 | − | 0.935114i | \(-0.615297\pi\) |
−0.471017 | + | 0.882124i | \(0.656113\pi\) | |||||||
\(594\) | −5935.85 | + | 8509.49i | −0.410019 | + | 0.587792i | ||||
\(595\) | 31675.2 | + | 4084.07i | 2.18245 | + | 0.281396i | ||||
\(596\) | 17054.9 | − | 11101.5i | 1.17214 | − | 0.762978i | ||||
\(597\) | −2194.34 | + | 2751.62i | −0.150433 | + | 0.188637i | ||||
\(598\) | −1026.24 | + | 65.8865i | −0.0701771 | + | 0.00450552i | ||||
\(599\) | −14331.4 | − | 2791.03i | −0.977568 | − | 0.190381i | −0.323012 | − | 0.946395i | \(-0.604695\pi\) |
−0.654556 | + | 0.756013i | \(0.727144\pi\) | |||||||
\(600\) | 4939.65 | + | 13422.6i | 0.336100 | + | 0.913293i | ||||
\(601\) | −4216.11 | + | 2374.47i | −0.286154 | + | 0.161159i | −0.627134 | − | 0.778912i | \(-0.715772\pi\) |
0.340979 | + | 0.940071i | \(0.389241\pi\) | |||||||
\(602\) | 18972.4 | − | 63924.2i | 1.28448 | − | 4.32784i | ||||
\(603\) | 3144.44 | − | 3462.38i | 0.212358 | − | 0.233829i | ||||
\(604\) | −8.64087 | + | 269.454i | −0.000582106 | + | 0.0181522i | ||||
\(605\) | −17016.7 | −1.14352 | ||||||||
\(606\) | −757.993 | + | 23637.0i | −0.0508109 | + | 1.58447i | ||||
\(607\) | −4724.81 | − | 1238.99i | −0.315938 | − | 0.0828487i | 0.0922803 | − | 0.995733i | \(-0.470584\pi\) |
−0.408218 | + | 0.912884i | \(0.633850\pi\) | |||||||
\(608\) | −4083.36 | − | 3954.52i | −0.272372 | − | 0.263778i | ||||
\(609\) | 8742.30 | + | 29455.7i | 0.581701 | + | 1.95994i | ||||
\(610\) | 24461.9 | + | 11780.2i | 1.62366 | + | 0.781915i | ||||
\(611\) | −3612.38 | + | 1739.63i | −0.239184 | + | 0.115185i | ||||
\(612\) | −4633.71 | + | 7643.78i | −0.306056 | + | 0.504872i | ||||
\(613\) | −4655.43 | + | 12650.3i | −0.306739 | + | 0.833510i | 0.687486 | + | 0.726198i | \(0.258714\pi\) |
−0.994225 | + | 0.107312i | \(0.965776\pi\) | |||||||
\(614\) | 5236.02 | + | 32386.6i | 0.344151 | + | 2.12869i | ||||
\(615\) | −16746.9 | + | 16218.5i | −1.09805 | + | 1.06340i | ||||
\(616\) | 6199.59 | − | 14005.0i | 0.405501 | − | 0.916033i | ||||
\(617\) | 966.954 | − | 10023.5i | 0.0630925 | − | 0.654020i | −0.908584 | − | 0.417703i | \(-0.862835\pi\) |
0.971676 | − | 0.236317i | \(-0.0759403\pi\) | |||||||
\(618\) | −5905.07 | − | 1548.49i | −0.384364 | − | 0.100792i | ||||
\(619\) | −9977.20 | − | 640.557i | −0.647847 | − | 0.0415932i | −0.263323 | − | 0.964708i | \(-0.584818\pi\) |
−0.384525 | + | 0.923115i | \(0.625635\pi\) | |||||||
\(620\) | −9117.70 | + | 10039.6i | −0.590606 | + | 0.650323i | ||||
\(621\) | −263.158 | + | 2727.91i | −0.0170051 | + | 0.176276i | ||||
\(622\) | 6628.79 | − | 2683.70i | 0.427315 | − | 0.173001i | ||||
\(623\) | −45956.8 | − | 15258.7i | −2.95541 | − | 0.981264i | ||||
\(624\) | −1252.15 | − | 1570.14i | −0.0803302 | − | 0.100731i | ||||
\(625\) | 12090.8 | + | 13313.3i | 0.773811 | + | 0.852051i | ||||
\(626\) | −35001.1 | + | 26122.0i | −2.23471 | + | 1.66780i | ||||
\(627\) | 1001.17 | + | 4386.43i | 0.0637688 | + | 0.279390i | ||||
\(628\) | −13370.8 | + | 3506.23i | −0.849606 | + | 0.222793i | ||||
\(629\) | −16561.4 | − | 9327.20i | −1.04983 | − | 0.591256i | ||||
\(630\) | −17199.5 | − | 12836.3i | −1.08769 | − | 0.811762i | ||||
\(631\) | −4903.23 | + | 1985.10i | −0.309341 | + | 0.125238i | −0.524676 | − | 0.851302i | \(-0.675814\pi\) |
0.215335 | + | 0.976540i | \(0.430916\pi\) | |||||||
\(632\) | 11988.6 | + | 11610.3i | 0.754559 | + | 0.730750i | ||||
\(633\) | −4232.48 | + | 6067.58i | −0.265760 | + | 0.380987i | ||||
\(634\) | 7558.85 | − | 25468.3i | 0.473502 | − | 1.59539i | ||||
\(635\) | −7419.52 | + | 16760.8i | −0.463676 | + | 1.04745i | ||||
\(636\) | −30871.0 | − | 23039.6i | −1.92471 | − | 1.43645i | ||||
\(637\) | −817.552 | − | 8474.78i | −0.0508518 | − | 0.527132i | ||||
\(638\) | 7038.69 | + | 13491.8i | 0.436778 | + | 0.837221i | ||||
\(639\) | −2829.43 | + | 2408.73i | −0.175165 | + | 0.149120i | ||||
\(640\) | −39638.8 | + | 5110.86i | −2.44822 | + | 0.315663i | ||||
\(641\) | −6070.98 | + | 11636.9i | −0.374086 | + | 0.717054i | −0.997917 | − | 0.0645057i | \(-0.979453\pi\) |
0.623831 | + | 0.781559i | \(0.285575\pi\) | |||||||
\(642\) | 2325.15 | − | 452.823i | 0.142938 | − | 0.0278372i | ||||
\(643\) | 368.827 | − | 2281.33i | 0.0226207 | − | 0.139917i | −0.973389 | − | 0.229157i | \(-0.926403\pi\) |
0.996010 | + | 0.0892401i | \(0.0284438\pi\) | |||||||
\(644\) | −836.107 | − | 8667.12i | −0.0511603 | − | 0.530330i | ||||
\(645\) | 25879.9 | + | 8592.71i | 1.57987 | + | 0.524555i | ||||
\(646\) | 6684.22 | + | 22521.3i | 0.407101 | + | 1.37166i | ||||
\(647\) | 3729.07 | + | 480.810i | 0.226592 | + | 0.0292158i | 0.240336 | − | 0.970690i | \(-0.422742\pi\) |
−0.0137442 | + | 0.999906i | \(0.504375\pi\) | |||||||
\(648\) | −11524.2 | + | 6490.33i | −0.698634 | + | 0.393463i | ||||
\(649\) | 3306.68 | − | 3202.34i | 0.199998 | − | 0.193687i | ||||
\(650\) | 5084.97 | + | 2863.80i | 0.306845 | + | 0.172812i | ||||
\(651\) | −1319.18 | + | 8159.62i | −0.0794207 | + | 0.491245i | ||||
\(652\) | −22609.4 | − | 32412.3i | −1.35806 | − | 1.94688i | ||||
\(653\) | 464.191 | − | 154.122i | 0.0278181 | − | 0.00923624i | −0.301165 | − | 0.953572i | \(-0.597376\pi\) |
0.328983 | + | 0.944336i | \(0.393294\pi\) | |||||||
\(654\) | 2862.18 | + | 6465.70i | 0.171131 | + | 0.386589i | ||||
\(655\) | −21885.0 | − | 8860.24i | −1.30552 | − | 0.528547i | ||||
\(656\) | 7550.16 | + | 12454.8i | 0.449366 | + | 0.741277i | ||||
\(657\) | 4343.60 | + | 6226.88i | 0.257930 | + | 0.369762i | ||||
\(658\) | −24109.8 | − | 46214.0i | −1.42842 | − | 2.73801i | ||||
\(659\) | −2743.39 | − | 3440.10i | −0.162166 | − | 0.203349i | 0.694109 | − | 0.719870i | \(-0.255798\pi\) |
−0.856275 | + | 0.516520i | \(0.827227\pi\) | |||||||
\(660\) | 12145.8 | + | 5849.12i | 0.716326 | + | 0.344964i | ||||
\(661\) | −24484.6 | + | 15937.7i | −1.44075 | + | 0.937827i | −0.441579 | + | 0.897222i | \(0.645582\pi\) |
−0.999175 | + | 0.0406049i | \(0.987071\pi\) | |||||||
\(662\) | 15680.0 | + | 42607.7i | 0.920576 | + | 2.50150i | ||||
\(663\) | −526.654 | − | 3257.54i | −0.0308500 | − | 0.190818i | ||||
\(664\) | 23935.4 | − | 6276.61i | 1.39891 | − | 0.366837i | ||||
\(665\) | −36059.1 | + | 7022.51i | −2.10272 | + | 0.409506i | ||||
\(666\) | 6621.19 | + | 10922.4i | 0.385234 | + | 0.635484i | ||||
\(667\) | 3368.81 | + | 2192.85i | 0.195563 | + | 0.127298i | ||||
\(668\) | 11846.1 | − | 51901.0i | 0.686135 | − | 3.00615i | ||||
\(669\) | 8682.41 | + | 7391.44i | 0.501766 | + | 0.427159i | ||||
\(670\) | −30867.7 | − | 20092.6i | −1.77988 | − | 1.15858i | ||||
\(671\) | 5065.82 | − | 1681.97i | 0.291451 | − | 0.0967685i | ||||
\(672\) | −7904.06 | + | 6728.83i | −0.453729 | + | 0.386265i | ||||
\(673\) | 9841.91 | + | 10837.0i | 0.563711 | + | 0.620709i | 0.953936 | − | 0.300011i | \(-0.0969904\pi\) |
−0.390225 | + | 0.920720i | \(0.627603\pi\) | |||||||
\(674\) | 26070.6 | − | 12554.9i | 1.48991 | − | 0.717504i | ||||
\(675\) | 9697.10 | − | 12159.8i | 0.552951 | − | 0.693378i | ||||
\(676\) | 30123.9 | + | 5866.62i | 1.71392 | + | 0.333786i | ||||
\(677\) | 9172.93 | − | 24925.8i | 0.520745 | − | 1.41503i | −0.356185 | − | 0.934415i | \(-0.615923\pi\) |
0.876930 | − | 0.480617i | \(-0.159587\pi\) | |||||||
\(678\) | −7995.38 | − | 35030.0i | −0.452892 | − | 1.98425i | ||||
\(679\) | 8715.50 | − | 16706.0i | 0.492592 | − | 0.944207i | ||||
\(680\) | 30313.9 | + | 12272.7i | 1.70953 | + | 0.692114i | ||||
\(681\) | 20.1466 | + | 17.1511i | 0.00113366 | + | 0.000965097i | ||||
\(682\) | 131.209 | + | 4091.59i | 0.00736695 | + | 0.229729i | ||||
\(683\) | 19.5276 | + | 608.943i | 0.00109400 | + | 0.0341150i | 0.999888 | − | 0.0149894i | \(-0.00477146\pi\) |
−0.998794 | + | 0.0491044i | \(0.984363\pi\) | |||||||
\(684\) | 2287.91 | − | 10024.0i | 0.127895 | − | 0.560346i | ||||
\(685\) | −7478.36 | − | 16893.8i | −0.417129 | − | 0.942302i | ||||
\(686\) | 56864.7 | − | 7331.89i | 3.16487 | − | 0.408065i | ||||
\(687\) | −7100.49 | + | 5299.23i | −0.394324 | + | 0.294292i | ||||
\(688\) | 8831.36 | − | 14568.2i | 0.489378 | − | 0.807281i | ||||
\(689\) | −7287.71 | + | 467.887i | −0.402960 | + | 0.0258709i | ||||
\(690\) | 5456.10 | − | 350.293i | 0.301029 | − | 0.0193267i | ||||
\(691\) | 9203.26 | − | 15181.7i | 0.506669 | − | 0.835804i | −0.492740 | − | 0.870177i | \(-0.664005\pi\) |
0.999409 | + | 0.0343730i | \(0.0109434\pi\) | |||||||
\(692\) | −23102.4 | + | 17241.8i | −1.26911 | + | 0.947159i | ||||
\(693\) | −4184.61 | + | 539.546i | −0.229380 | + | 0.0295753i | ||||
\(694\) | −15949.7 | − | 36030.6i | −0.872393 | − | 1.97075i | ||||
\(695\) | 3001.22 | − | 13149.2i | 0.163802 | − | 0.717665i | ||||
\(696\) | 1008.44 | + | 31446.9i | 0.0549209 | + | 1.71263i | ||||
\(697\) | 767.031 | + | 23918.9i | 0.0416835 | + | 1.29984i | ||||
\(698\) | 30398.8 | + | 25878.8i | 1.64844 | + | 1.40334i | ||||
\(699\) | 4628.26 | + | 1873.77i | 0.250439 | + | 0.101391i | ||||
\(700\) | −22856.3 | + | 43811.2i | −1.23412 | + | 2.36558i | ||||
\(701\) | −5033.15 | − | 22051.7i | −0.271183 | − | 1.18813i | −0.908618 | − | 0.417627i | \(-0.862862\pi\) |
0.637435 | − | 0.770504i | \(-0.279995\pi\) | |||||||
\(702\) | −3022.93 | + | 8214.29i | −0.162526 | + | 0.441636i | ||||
\(703\) | 21460.2 | + | 4179.38i | 1.15133 | + | 0.224222i | ||||
\(704\) | −6016.71 | + | 7544.72i | −0.322107 | + | 0.403909i | ||||
\(705\) | 19205.7 | − | 9248.96i | 1.02600 | − | 0.494094i | ||||
\(706\) | 12238.6 | + | 13476.1i | 0.652417 | + | 0.718384i | ||||
\(707\) | −28906.3 | + | 24608.3i | −1.53767 | + | 1.30904i | ||||
\(708\) | 19440.6 | − | 6454.73i | 1.03195 | − | 0.342632i | ||||
\(709\) | −4854.88 | − | 3160.18i | −0.257163 | − | 0.167395i | 0.410494 | − | 0.911863i | \(-0.365356\pi\) |
−0.667658 | + | 0.744468i | \(0.732703\pi\) | |||||||
\(710\) | 22281.0 | + | 18968.1i | 1.17773 | + | 1.00262i | ||||
\(711\) | 1023.06 | − | 4482.30i | 0.0539629 | − | 0.236427i | ||||
\(712\) | −41557.4 | − | 27050.9i | −2.18740 | − | 1.42384i | ||||
\(713\) | 560.553 | + | 924.691i | 0.0294430 | + | 0.0485693i | ||||
\(714\) | 42108.7 | − | 8200.66i | 2.20711 | − | 0.429835i | ||||
\(715\) | 2472.10 | − | 648.261i | 0.129303 | − | 0.0339071i | ||||
\(716\) | −1324.02 | − | 8189.51i | −0.0691073 | − | 0.427453i | ||||
\(717\) | −7726.97 | − | 20996.7i | −0.402467 | − | 1.09363i | ||||
\(718\) | −42543.4 | + | 27692.7i | −2.21129 | + | 1.43939i | ||||
\(719\) | 23989.2 | + | 11552.6i | 1.24429 | + | 0.599220i | 0.935976 | − | 0.352064i | \(-0.114520\pi\) |
0.308316 | + | 0.951284i | \(0.400234\pi\) | |||||||
\(720\) | −3418.68 | − | 4286.89i | −0.176954 | − | 0.221893i | ||||
\(721\) | −4532.63 | − | 8688.21i | −0.234125 | − | 0.448774i | ||||
\(722\) | 3336.08 | + | 4782.52i | 0.171961 | + | 0.246519i | ||||
\(723\) | −11181.3 | − | 18444.7i | −0.575156 | − | 0.948779i | ||||
\(724\) | 15687.8 | + | 6351.31i | 0.805296 | + | 0.326028i | ||||
\(725\) | −9233.80 | − | 20859.3i | −0.473014 | − | 1.06855i | ||||
\(726\) | −21693.2 | + | 7202.63i | −1.10897 | + | 0.368202i | ||||
\(727\) | 13992.4 | + | 20059.2i | 0.713825 | + | 1.02332i | 0.997916 | + | 0.0645242i | \(0.0205530\pi\) |
−0.284091 | + | 0.958797i | \(0.591692\pi\) | |||||||
\(728\) | 2062.17 | − | 12755.3i | 0.104985 | − | 0.649370i | ||||
\(729\) | 18350.6 | + | 10334.8i | 0.932305 | + | 0.525065i | ||||
\(730\) | 42947.3 | − | 41592.1i | 2.17746 | − | 2.10876i | ||||
\(731\) | 24390.0 | − | 13736.2i | 1.23406 | − | 0.695009i | ||||
\(732\) | 23558.0 | + | 3037.47i | 1.18952 | + | 0.153372i | ||||
\(733\) | −4571.81 | − | 15403.9i | −0.230373 | − | 0.776204i | −0.991783 | − | 0.127933i | \(-0.959166\pi\) |
0.761409 | − | 0.648271i | \(-0.224508\pi\) | |||||||
\(734\) | −26701.6 | − | 8865.55i | −1.34274 | − | 0.445822i | ||||
\(735\) | 4346.61 | + | 45057.2i | 0.218132 | + | 2.26117i | ||||
\(736\) | −216.735 | + | 1340.58i | −0.0108546 | + | 0.0671393i | ||||
\(737\) | −7107.36 | + | 1384.16i | −0.355228 | + | 0.0691806i | ||||
\(738\) | 7438.23 | − | 14257.7i | 0.371009 | − | 0.711156i | ||||
\(739\) | −9649.82 | + | 1244.21i | −0.480344 | + | 0.0619335i | −0.364243 | − | 0.931304i | \(-0.618672\pi\) |
−0.116101 | + | 0.993237i | \(0.537040\pi\) | |||||||
\(740\) | 49881.0 | − | 42464.3i | 2.47792 | − | 2.10948i | ||||
\(741\) | 1755.65 | + | 3365.26i | 0.0870384 | + | 0.166836i | ||||
\(742\) | −9116.38 | − | 94500.8i | −0.451041 | − | 4.67552i | ||||
\(743\) | 2040.38 | + | 1522.77i | 0.100746 | + | 0.0751886i | 0.647301 | − | 0.762235i | \(-0.275898\pi\) |
−0.546555 | + | 0.837423i | \(0.684061\pi\) | |||||||
\(744\) | −3426.06 | + | 7739.54i | −0.168825 | + | 0.381378i | ||||
\(745\) | −5835.92 | + | 19663.1i | −0.286995 | + | 0.966982i | ||||
\(746\) | 13097.2 | − | 18775.8i | 0.642792 | − | 0.921490i | ||||
\(747\) | −4896.81 | − | 4742.30i | −0.239846 | − | 0.232278i | ||||
\(748\) | 12826.9 | − | 5193.04i | 0.627003 | − | 0.253845i | ||||
\(749\) | 3047.39 | + | 2274.33i | 0.148664 | + | 0.110951i | ||||
\(750\) | 6150.56 | + | 3463.93i | 0.299449 | + | 0.168646i | ||||
\(751\) | 28429.4 | − | 7455.08i | 1.38136 | − | 0.362236i | 0.513096 | − | 0.858331i | \(-0.328498\pi\) |
0.868268 | + | 0.496095i | \(0.165233\pi\) | |||||||
\(752\) | −2963.39 | − | 12983.5i | −0.143702 | − | 0.629598i | ||||
\(753\) | −2986.28 | + | 2228.72i | −0.144523 | + | 0.107860i | ||||
\(754\) | 8630.97 | + | 9503.65i | 0.416872 | + | 0.459022i | ||||
\(755\) | −169.420 | − | 212.445i | −0.00816663 | − | 0.0102406i | ||||
\(756\) | −70337.7 | − | 23353.7i | −3.38381 | − | 1.12350i | ||||
\(757\) | 32725.5 | − | 13249.1i | 1.57124 | − | 0.636124i | 0.586466 | − | 0.809974i | \(-0.300519\pi\) |
0.984772 | + | 0.173850i | \(0.0556207\pi\) | |||||||
\(758\) | −1116.12 | + | 11569.7i | −0.0534819 | + | 0.554396i | ||||
\(759\) | 722.631 | − | 795.697i | 0.0345584 | − | 0.0380527i | ||||
\(760\) | −37541.0 | − | 2410.21i | −1.79178 | − | 0.115036i | ||||
\(761\) | −17973.0 | − | 4713.07i | −0.856136 | − | 0.224505i | −0.200604 | − | 0.979672i | \(-0.564290\pi\) |
−0.655532 | + | 0.755167i | \(0.727556\pi\) | |||||||
\(762\) | −2364.19 | + | 24507.3i | −0.112396 | + | 1.16510i | ||||
\(763\) | −4594.44 | + | 10378.9i | −0.217995 | + | 0.492454i | ||||
\(764\) | −25251.8 | + | 24455.0i | −1.19578 | + | 1.15805i | ||||
\(765\) | −1437.90 | − | 8893.91i | −0.0679573 | − | 0.420340i |