Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 69.4 |
Dual form | 69.4.e.b.52.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.468580 | − | 1.02605i | −0.165668 | − | 0.362763i | 0.808531 | − | 0.588454i | \(-0.200263\pi\) |
−0.974199 | + | 0.225691i | \(0.927536\pi\) | |||||||
\(3\) | 2.87848 | − | 0.845198i | 0.553964 | − | 0.162658i | ||||
\(4\) | 4.40568 | − | 5.08442i | 0.550710 | − | 0.635553i | ||||
\(5\) | −16.0845 | − | 10.3369i | −1.43864 | − | 0.924558i | −0.999660 | − | 0.0260604i | \(-0.991704\pi\) |
−0.438979 | − | 0.898497i | \(-0.644660\pi\) | |||||||
\(6\) | −2.21601 | − | 2.55741i | −0.150781 | − | 0.174010i | ||||
\(7\) | 1.00849 | + | 7.01421i | 0.0544534 | + | 0.378732i | 0.998765 | + | 0.0496798i | \(0.0158201\pi\) |
−0.944312 | + | 0.329052i | \(0.893271\pi\) | |||||||
\(8\) | −15.9396 | − | 4.68029i | −0.704438 | − | 0.206842i | ||||
\(9\) | 7.57128 | − | 4.86577i | 0.280418 | − | 0.180214i | ||||
\(10\) | −3.06925 | + | 21.3471i | −0.0970582 | + | 0.675055i | ||||
\(11\) | 8.83469 | − | 19.3453i | 0.242160 | − | 0.530256i | −0.749057 | − | 0.662506i | \(-0.769493\pi\) |
0.991216 | + | 0.132250i | \(0.0422202\pi\) | |||||||
\(12\) | 8.38431 | − | 18.3591i | 0.201695 | − | 0.441651i | ||||
\(13\) | 0.965757 | − | 6.71699i | 0.0206041 | − | 0.143304i | −0.976923 | − | 0.213594i | \(-0.931483\pi\) |
0.997527 | + | 0.0702893i | \(0.0223922\pi\) | |||||||
\(14\) | 6.72436 | − | 4.32148i | 0.128369 | − | 0.0824975i | ||||
\(15\) | −55.0355 | − | 16.1599i | −0.947341 | − | 0.278164i | ||||
\(16\) | −4.99278 | − | 34.7255i | −0.0780122 | − | 0.542587i | ||||
\(17\) | 6.11227 | + | 7.05394i | 0.0872026 | + | 0.100637i | 0.797674 | − | 0.603089i | \(-0.206064\pi\) |
−0.710471 | + | 0.703726i | \(0.751518\pi\) | |||||||
\(18\) | −8.54027 | − | 5.48850i | −0.111831 | − | 0.0718695i | ||||
\(19\) | 34.7818 | − | 40.1403i | 0.419973 | − | 0.484674i | −0.505856 | − | 0.862618i | \(-0.668823\pi\) |
0.925829 | + | 0.377944i | \(0.123369\pi\) | |||||||
\(20\) | −123.420 | + | 36.2394i | −1.37988 | + | 0.405169i | ||||
\(21\) | 8.83132 | + | 19.3379i | 0.0917691 | + | 0.200946i | ||||
\(22\) | −23.9889 | −0.232475 | ||||||||
\(23\) | 77.5831 | − | 78.4083i | 0.703356 | − | 0.710837i | ||||
\(24\) | −49.8376 | −0.423877 | ||||||||
\(25\) | 99.9328 | + | 218.822i | 0.799462 | + | 1.75058i | ||||
\(26\) | −7.34449 | + | 2.15654i | −0.0553989 | + | 0.0162666i | ||||
\(27\) | 17.6812 | − | 20.4052i | 0.126028 | − | 0.145444i | ||||
\(28\) | 40.1063 | + | 25.7748i | 0.270692 | + | 0.173963i | ||||
\(29\) | 133.466 | + | 154.028i | 0.854623 | + | 0.986288i | 0.999995 | − | 0.00308952i | \(-0.000983426\pi\) |
−0.145372 | + | 0.989377i | \(0.546438\pi\) | |||||||
\(30\) | 9.20775 | + | 64.0413i | 0.0560366 | + | 0.389743i | ||||
\(31\) | 307.312 | + | 90.2349i | 1.78048 | + | 0.522796i | 0.995332 | − | 0.0965129i | \(-0.0307689\pi\) |
0.785147 | + | 0.619309i | \(0.212587\pi\) | |||||||
\(32\) | −145.093 | + | 93.2458i | −0.801535 | + | 0.515115i | ||||
\(33\) | 9.07989 | − | 63.1520i | 0.0478971 | − | 0.333132i | ||||
\(34\) | 4.37359 | − | 9.57682i | 0.0220607 | − | 0.0483062i | ||||
\(35\) | 56.2839 | − | 123.245i | 0.271821 | − | 0.595204i | ||||
\(36\) | 8.61701 | − | 59.9326i | 0.0398936 | − | 0.277466i | ||||
\(37\) | −91.7017 | + | 58.9331i | −0.407450 | + | 0.261852i | −0.728273 | − | 0.685287i | \(-0.759677\pi\) |
0.320823 | + | 0.947139i | \(0.396041\pi\) | |||||||
\(38\) | −57.4839 | − | 16.8788i | −0.245398 | − | 0.0720554i | ||||
\(39\) | −2.89727 | − | 20.1510i | −0.0118958 | − | 0.0827368i | ||||
\(40\) | 208.001 | + | 240.046i | 0.822195 | + | 0.948864i | ||||
\(41\) | −269.268 | − | 173.048i | −1.02567 | − | 0.659159i | −0.0842686 | − | 0.996443i | \(-0.526855\pi\) |
−0.941403 | + | 0.337284i | \(0.890492\pi\) | |||||||
\(42\) | 15.7034 | − | 18.1227i | 0.0576926 | − | 0.0665809i | ||||
\(43\) | −227.107 | + | 66.6847i | −0.805431 | + | 0.236496i | −0.658432 | − | 0.752641i | \(-0.728780\pi\) |
−0.147000 | + | 0.989137i | \(0.546962\pi\) | |||||||
\(44\) | −59.4367 | − | 130.148i | −0.203646 | − | 0.445923i | ||||
\(45\) | −172.077 | −0.570038 | ||||||||
\(46\) | −116.805 | − | 42.8634i | −0.374389 | − | 0.137388i | ||||
\(47\) | 147.768 | 0.458600 | 0.229300 | − | 0.973356i | \(-0.426356\pi\) | ||||
0.229300 | + | 0.973356i | \(0.426356\pi\) | |||||||
\(48\) | −43.7216 | − | 95.7369i | −0.131472 | − | 0.287884i | ||||
\(49\) | 280.924 | − | 82.4867i | 0.819020 | − | 0.240486i | ||||
\(50\) | 177.696 | − | 205.072i | 0.502599 | − | 0.580030i | ||||
\(51\) | 23.5560 | + | 15.1385i | 0.0646765 | + | 0.0415651i | ||||
\(52\) | −29.8972 | − | 34.5032i | −0.0797307 | − | 0.0920141i | ||||
\(53\) | 75.1657 | + | 522.789i | 0.194808 | + | 1.35492i | 0.819066 | + | 0.573699i | \(0.194492\pi\) |
−0.624259 | + | 0.781218i | \(0.714599\pi\) | |||||||
\(54\) | −29.2218 | − | 8.58031i | −0.0736405 | − | 0.0216228i | ||||
\(55\) | −342.071 | + | 219.836i | −0.838633 | + | 0.538957i | ||||
\(56\) | 16.7536 | − | 116.524i | 0.0399785 | − | 0.278056i | ||||
\(57\) | 66.1921 | − | 144.940i | 0.153813 | − | 0.336804i | ||||
\(58\) | 95.5008 | − | 209.117i | 0.216205 | − | 0.473422i | ||||
\(59\) | 71.6973 | − | 498.666i | 0.158207 | − | 1.10035i | −0.743729 | − | 0.668482i | \(-0.766945\pi\) |
0.901936 | − | 0.431871i | \(-0.142146\pi\) | |||||||
\(60\) | −324.633 | + | 208.629i | −0.698498 | + | 0.448898i | ||||
\(61\) | −426.611 | − | 125.264i | −0.895442 | − | 0.262926i | −0.198541 | − | 0.980093i | \(-0.563620\pi\) |
−0.696901 | + | 0.717167i | \(0.745438\pi\) | |||||||
\(62\) | −51.4150 | − | 357.599i | −0.105318 | − | 0.732502i | ||||
\(63\) | 41.7651 | + | 48.1995i | 0.0835224 | + | 0.0963899i | ||||
\(64\) | −72.4445 | − | 46.5573i | −0.141493 | − | 0.0909321i | ||||
\(65\) | −84.9663 | + | 98.0563i | −0.162135 | + | 0.187114i | ||||
\(66\) | −69.0516 | + | 20.2754i | −0.128783 | + | 0.0378141i | ||||
\(67\) | −289.886 | − | 634.762i | −0.528586 | − | 1.15744i | −0.966085 | − | 0.258223i | \(-0.916863\pi\) |
0.437500 | − | 0.899219i | \(-0.355864\pi\) | |||||||
\(68\) | 62.7939 | 0.111984 | ||||||||
\(69\) | 157.051 | − | 291.270i | 0.274010 | − | 0.508185i | ||||
\(70\) | −152.828 | −0.260950 | ||||||||
\(71\) | 252.994 | + | 553.980i | 0.422886 | + | 0.925990i | 0.994428 | + | 0.105418i | \(0.0336180\pi\) |
−0.571543 | + | 0.820572i | \(0.693655\pi\) | |||||||
\(72\) | −143.456 | + | 42.1226i | −0.234813 | + | 0.0689472i | ||||
\(73\) | 697.573 | − | 805.042i | 1.11842 | − | 1.29073i | 0.165937 | − | 0.986136i | \(-0.446935\pi\) |
0.952484 | − | 0.304590i | \(-0.0985193\pi\) | |||||||
\(74\) | 103.438 | + | 66.4754i | 0.162492 | + | 0.104427i | ||||
\(75\) | 472.603 | + | 545.412i | 0.727619 | + | 0.839717i | ||||
\(76\) | −50.8530 | − | 353.690i | −0.0767532 | − | 0.533830i | ||||
\(77\) | 144.602 | + | 42.4588i | 0.214011 | + | 0.0628394i | ||||
\(78\) | −19.3183 | + | 12.4151i | −0.0280431 | + | 0.0180222i | ||||
\(79\) | −55.5200 | + | 386.150i | −0.0790694 | + | 0.549940i | 0.911327 | + | 0.411683i | \(0.135059\pi\) |
−0.990396 | + | 0.138257i | \(0.955850\pi\) | |||||||
\(80\) | −278.647 | + | 610.152i | −0.389421 | + | 0.852713i | ||||
\(81\) | 33.6486 | − | 73.6802i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −51.3818 | + | 357.368i | −0.0691972 | + | 0.481277i | ||||
\(83\) | −621.577 | + | 399.463i | −0.822011 | + | 0.528275i | −0.882730 | − | 0.469880i | \(-0.844297\pi\) |
0.0607189 | + | 0.998155i | \(0.480661\pi\) | |||||||
\(84\) | 137.230 | + | 40.2944i | 0.178250 | + | 0.0523390i | ||||
\(85\) | −25.3971 | − | 176.641i | −0.0324082 | − | 0.225404i | ||||
\(86\) | 174.840 | + | 201.776i | 0.219226 | + | 0.253001i | ||||
\(87\) | 514.364 | + | 330.562i | 0.633858 | + | 0.407356i | ||||
\(88\) | −231.363 | + | 267.007i | −0.280265 | + | 0.323444i | ||||
\(89\) | 591.895 | − | 173.796i | 0.704952 | − | 0.206993i | 0.0904421 | − | 0.995902i | \(-0.471172\pi\) |
0.614510 | + | 0.788909i | \(0.289354\pi\) | |||||||
\(90\) | 80.6319 | + | 176.559i | 0.0944372 | + | 0.206789i | ||||
\(91\) | 48.0883 | 0.0553959 | ||||||||
\(92\) | −56.8547 | − | 739.907i | −0.0644295 | − | 0.838485i | ||||
\(93\) | 960.857 | 1.07136 | ||||||||
\(94\) | −69.2413 | − | 151.617i | −0.0759755 | − | 0.166363i | ||||
\(95\) | −974.371 | + | 286.101i | −1.05230 | + | 0.308983i | ||||
\(96\) | −338.837 | + | 391.039i | −0.360233 | + | 0.415731i | ||||
\(97\) | −841.489 | − | 540.792i | −0.880828 | − | 0.566074i | 0.0202191 | − | 0.999796i | \(-0.493564\pi\) |
−0.901047 | + | 0.433722i | \(0.857200\pi\) | |||||||
\(98\) | −216.271 | − | 249.590i | −0.222925 | − | 0.257269i | ||||
\(99\) | −27.2397 | − | 189.456i | −0.0276534 | − | 0.192334i | ||||
\(100\) | 1552.86 | + | 455.960i | 1.55286 | + | 0.455960i | ||||
\(101\) | −456.929 | + | 293.651i | −0.450160 | + | 0.289300i | −0.746011 | − | 0.665934i | \(-0.768033\pi\) |
0.295851 | + | 0.955234i | \(0.404397\pi\) | |||||||
\(102\) | 4.49497 | − | 31.2632i | 0.00436342 | − | 0.0303482i | ||||
\(103\) | −674.276 | + | 1476.46i | −0.645033 | + | 1.41243i | 0.250802 | + | 0.968038i | \(0.419306\pi\) |
−0.895835 | + | 0.444387i | \(0.853422\pi\) | |||||||
\(104\) | −46.8312 | + | 102.546i | −0.0441556 | + | 0.0966872i | ||||
\(105\) | 57.8461 | − | 402.328i | 0.0537638 | − | 0.373935i | ||||
\(106\) | 501.185 | − | 322.092i | 0.459240 | − | 0.295136i | ||||
\(107\) | 1219.97 | + | 358.216i | 1.10223 | + | 0.323645i | 0.781739 | − | 0.623605i | \(-0.214333\pi\) |
0.320495 | + | 0.947250i | \(0.396151\pi\) | |||||||
\(108\) | −25.8510 | − | 179.798i | −0.0230326 | − | 0.160195i | ||||
\(109\) | −928.525 | − | 1071.58i | −0.815932 | − | 0.941636i | 0.183209 | − | 0.983074i | \(-0.441351\pi\) |
−0.999141 | + | 0.0414384i | \(0.986806\pi\) | |||||||
\(110\) | 385.850 | + | 247.970i | 0.334448 | + | 0.214937i | ||||
\(111\) | −214.151 | + | 247.144i | −0.183120 | + | 0.211332i | ||||
\(112\) | 238.537 | − | 70.0408i | 0.201247 | − | 0.0590914i | ||||
\(113\) | 639.988 | + | 1401.38i | 0.532788 | + | 1.16664i | 0.964367 | + | 0.264567i | \(0.0852291\pi\) |
−0.431580 | + | 0.902075i | \(0.642044\pi\) | |||||||
\(114\) | −179.732 | −0.147662 | ||||||||
\(115\) | −2058.38 | + | 459.190i | −1.66909 | + | 0.372345i | ||||
\(116\) | 1371.15 | 1.09749 | ||||||||
\(117\) | −25.3713 | − | 55.5554i | −0.0200477 | − | 0.0438982i | ||||
\(118\) | −545.251 | + | 160.100i | −0.425377 | + | 0.124902i | ||||
\(119\) | −43.3136 | + | 49.9866i | −0.0333660 | + | 0.0385064i | ||||
\(120\) | 801.612 | + | 515.164i | 0.609807 | + | 0.391899i | ||||
\(121\) | 575.432 | + | 664.084i | 0.432331 | + | 0.498936i | ||||
\(122\) | 71.3744 | + | 496.420i | 0.0529667 | + | 0.368392i | ||||
\(123\) | −921.341 | − | 270.530i | −0.675402 | − | 0.198316i | ||||
\(124\) | 1812.71 | − | 1164.96i | 1.31279 | − | 0.843680i | ||||
\(125\) | 314.444 | − | 2187.00i | 0.224998 | − | 1.56489i | ||||
\(126\) | 29.8847 | − | 65.4384i | 0.0211297 | − | 0.0462676i | ||||
\(127\) | 66.9263 | − | 146.548i | 0.0467618 | − | 0.102394i | −0.884809 | − | 0.465954i | \(-0.845711\pi\) |
0.931571 | + | 0.363560i | \(0.118439\pi\) | |||||||
\(128\) | −210.187 | + | 1461.89i | −0.145142 | + | 1.00948i | ||||
\(129\) | −597.362 | + | 383.901i | −0.407711 | + | 0.262020i | ||||
\(130\) | 140.424 | + | 41.2322i | 0.0947385 | + | 0.0278177i | ||||
\(131\) | −244.347 | − | 1699.47i | −0.162967 | − | 1.13346i | −0.893002 | − | 0.450053i | \(-0.851405\pi\) |
0.730035 | − | 0.683410i | \(-0.239504\pi\) | |||||||
\(132\) | −281.088 | − | 324.393i | −0.185346 | − | 0.213900i | ||||
\(133\) | 316.630 | + | 203.486i | 0.206431 | + | 0.132665i | ||||
\(134\) | −515.462 | + | 594.875i | −0.332307 | + | 0.383503i | ||||
\(135\) | −495.320 | + | 145.439i | −0.315780 | + | 0.0927215i | ||||
\(136\) | −64.4127 | − | 141.044i | −0.0406128 | − | 0.0889297i | ||||
\(137\) | 1463.58 | 0.912714 | 0.456357 | − | 0.889797i | \(-0.349154\pi\) | ||||
0.456357 | + | 0.889797i | \(0.349154\pi\) | |||||||
\(138\) | −372.448 | − | 24.6585i | −0.229745 | − | 0.0152106i | ||||
\(139\) | −2844.13 | −1.73551 | −0.867756 | − | 0.496991i | \(-0.834438\pi\) | ||||
−0.867756 | + | 0.496991i | \(0.834438\pi\) | |||||||
\(140\) | −378.659 | − | 829.148i | −0.228590 | − | 0.500541i | ||||
\(141\) | 425.348 | − | 124.893i | 0.254048 | − | 0.0745951i | ||||
\(142\) | 449.862 | − | 519.168i | 0.265856 | − | 0.306814i | ||||
\(143\) | −121.410 | − | 78.0253i | −0.0709985 | − | 0.0456280i | ||||
\(144\) | −206.768 | − | 238.623i | −0.119658 | − | 0.138092i | ||||
\(145\) | −554.566 | − | 3857.09i | −0.317615 | − | 2.20906i | ||||
\(146\) | −1152.88 | − | 338.516i | −0.653514 | − | 0.191889i | ||||
\(147\) | 738.916 | − | 474.873i | 0.414590 | − | 0.266441i | ||||
\(148\) | −104.367 | + | 725.891i | −0.0579658 | + | 0.403161i | ||||
\(149\) | 465.718 | − | 1019.78i | 0.256061 | − | 0.560695i | −0.737322 | − | 0.675541i | \(-0.763910\pi\) |
0.993383 | + | 0.114846i | \(0.0366374\pi\) | |||||||
\(150\) | 338.167 | − | 740.483i | 0.184075 | − | 0.403068i | ||||
\(151\) | −146.105 | + | 1016.18i | −0.0787410 | + | 0.547655i | 0.911821 | + | 0.410588i | \(0.134677\pi\) |
−0.990562 | + | 0.137067i | \(0.956232\pi\) | |||||||
\(152\) | −742.276 | + | 477.032i | −0.396095 | + | 0.254555i | ||||
\(153\) | 80.6005 | + | 23.6665i | 0.0425893 | + | 0.0125054i | ||||
\(154\) | −24.1926 | − | 168.264i | −0.0126591 | − | 0.0880458i | ||||
\(155\) | −4010.21 | − | 4628.03i | −2.07811 | − | 2.39827i | ||||
\(156\) | −115.220 | − | 74.0477i | −0.0591348 | − | 0.0380036i | ||||
\(157\) | 59.5758 | − | 68.7542i | 0.0302845 | − | 0.0349502i | −0.740405 | − | 0.672161i | \(-0.765366\pi\) |
0.770690 | + | 0.637211i | \(0.219912\pi\) | |||||||
\(158\) | 422.224 | − | 123.976i | 0.212597 | − | 0.0624241i | ||||
\(159\) | 658.223 | + | 1441.31i | 0.328305 | + | 0.718887i | ||||
\(160\) | 3297.62 | 1.62937 | ||||||||
\(161\) | 628.214 | + | 465.110i | 0.307517 | + | 0.227676i | ||||
\(162\) | −91.3665 | −0.0443113 | ||||||||
\(163\) | 1195.37 | + | 2617.49i | 0.574407 | + | 1.25778i | 0.944417 | + | 0.328749i | \(0.106627\pi\) |
−0.370010 | + | 0.929028i | \(0.620646\pi\) | |||||||
\(164\) | −2066.15 | + | 606.678i | −0.983778 | + | 0.288863i | ||||
\(165\) | −798.839 | + | 921.909i | −0.376906 | + | 0.434973i | ||||
\(166\) | 701.127 | + | 450.587i | 0.327820 | + | 0.210677i | ||||
\(167\) | 1330.46 | + | 1535.43i | 0.616489 | + | 0.711467i | 0.975036 | − | 0.222045i | \(-0.0712732\pi\) |
−0.358547 | + | 0.933512i | \(0.616728\pi\) | |||||||
\(168\) | −50.2608 | − | 349.571i | −0.0230816 | − | 0.160536i | ||||
\(169\) | 2063.82 | + | 605.992i | 0.939381 | + | 0.275827i | ||||
\(170\) | −169.341 | + | 108.829i | −0.0763993 | + | 0.0490988i | ||||
\(171\) | 68.0292 | − | 473.153i | 0.0304229 | − | 0.211596i | ||||
\(172\) | −661.508 | + | 1448.50i | −0.293253 | + | 0.642135i | ||||
\(173\) | −1130.92 | + | 2476.36i | −0.497005 | + | 1.08829i | 0.480426 | + | 0.877035i | \(0.340482\pi\) |
−0.977431 | + | 0.211255i | \(0.932245\pi\) | |||||||
\(174\) | 98.1513 | − | 682.657i | 0.0427634 | − | 0.297426i | ||||
\(175\) | −1434.09 | + | 921.630i | −0.619467 | + | 0.398107i | ||||
\(176\) | −715.884 | − | 210.203i | −0.306601 | − | 0.0900263i | ||||
\(177\) | −215.092 | − | 1496.00i | −0.0913407 | − | 0.635289i | ||||
\(178\) | −455.673 | − | 525.875i | −0.191877 | − | 0.221438i | ||||
\(179\) | 1228.37 | + | 789.424i | 0.512919 | + | 0.329633i | 0.771365 | − | 0.636393i | \(-0.219574\pi\) |
−0.258446 | + | 0.966026i | \(0.583211\pi\) | |||||||
\(180\) | −758.116 | + | 874.912i | −0.313926 | + | 0.362289i | ||||
\(181\) | 3452.69 | − | 1013.80i | 1.41788 | − | 0.416327i | 0.519095 | − | 0.854716i | \(-0.326269\pi\) |
0.898785 | + | 0.438389i | \(0.144451\pi\) | |||||||
\(182\) | −22.5333 | − | 49.3410i | −0.00917734 | − | 0.0200956i | ||||
\(183\) | −1333.86 | −0.538809 | ||||||||
\(184\) | −1603.62 | + | 886.686i | −0.642501 | + | 0.355257i | ||||
\(185\) | 2084.16 | 0.828272 | ||||||||
\(186\) | −450.239 | − | 985.886i | −0.177490 | − | 0.388649i | ||||
\(187\) | 190.460 | − | 55.9242i | 0.0744804 | − | 0.0218694i | ||||
\(188\) | 651.019 | − | 751.316i | 0.252556 | − | 0.291465i | ||||
\(189\) | 160.958 | + | 103.441i | 0.0619470 | + | 0.0398109i | ||||
\(190\) | 750.125 | + | 865.691i | 0.286420 | + | 0.330546i | ||||
\(191\) | −18.4948 | − | 128.634i | −0.00700647 | − | 0.0487311i | 0.986018 | − | 0.166637i | \(-0.0532909\pi\) |
−0.993025 | + | 0.117906i | \(0.962382\pi\) | |||||||
\(192\) | −247.880 | − | 72.7842i | −0.0931729 | − | 0.0273580i | ||||
\(193\) | −4316.79 | + | 2774.24i | −1.61000 | + | 1.03468i | −0.647995 | + | 0.761645i | \(0.724392\pi\) |
−0.962003 | + | 0.273038i | \(0.911971\pi\) | |||||||
\(194\) | −160.573 | + | 1116.81i | −0.0594253 | + | 0.413312i | ||||
\(195\) | −161.697 | + | 354.066i | −0.0593812 | + | 0.130027i | ||||
\(196\) | 818.263 | − | 1791.75i | 0.298201 | − | 0.652969i | ||||
\(197\) | 134.503 | − | 935.490i | 0.0486444 | − | 0.338329i | −0.950937 | − | 0.309386i | \(-0.899877\pi\) |
0.999581 | − | 0.0289437i | \(-0.00921435\pi\) | |||||||
\(198\) | −181.627 | + | 116.725i | −0.0651902 | + | 0.0418952i | ||||
\(199\) | 1699.57 | + | 499.039i | 0.605424 | + | 0.177769i | 0.570056 | − | 0.821606i | \(-0.306921\pi\) |
0.0353681 | + | 0.999374i | \(0.488740\pi\) | |||||||
\(200\) | −568.737 | − | 3955.66i | −0.201079 | − | 1.39854i | ||||
\(201\) | −1370.93 | − | 1582.14i | −0.481085 | − | 0.555201i | ||||
\(202\) | 515.408 | + | 331.233i | 0.179525 | + | 0.115373i | ||||
\(203\) | −945.788 | + | 1091.50i | −0.327001 | + | 0.377380i | ||||
\(204\) | 180.751 | − | 53.0733i | 0.0620348 | − | 0.0182151i | ||||
\(205\) | 2542.26 | + | 5566.77i | 0.866141 | + | 1.89658i | ||||
\(206\) | 1830.87 | 0.619237 | ||||||||
\(207\) | 205.887 | − | 971.153i | 0.0691311 | − | 0.326086i | ||||
\(208\) | −238.073 | −0.0793624 | ||||||||
\(209\) | −469.239 | − | 1027.49i | −0.155301 | − | 0.340062i | ||||
\(210\) | −439.914 | + | 129.170i | −0.144557 | + | 0.0424457i | ||||
\(211\) | 2063.27 | − | 2381.14i | 0.673181 | − | 0.776892i | −0.311690 | − | 0.950184i | \(-0.600895\pi\) |
0.984871 | + | 0.173292i | \(0.0554404\pi\) | |||||||
\(212\) | 2989.24 | + | 1921.07i | 0.968404 | + | 0.622355i | ||||
\(213\) | 1196.46 | + | 1380.79i | 0.384883 | + | 0.444179i | ||||
\(214\) | −204.108 | − | 1419.60i | −0.0651987 | − | 0.453467i | ||||
\(215\) | 4342.21 | + | 1274.99i | 1.37738 | + | 0.404435i | ||||
\(216\) | −377.334 | + | 242.498i | −0.118863 | + | 0.0763884i | ||||
\(217\) | −323.006 | + | 2246.55i | −0.101046 | + | 0.702792i | ||||
\(218\) | −664.399 | + | 1454.83i | −0.206416 | + | 0.451989i | ||||
\(219\) | 1327.53 | − | 2906.88i | 0.409617 | − | 0.896936i | ||||
\(220\) | −389.317 | + | 2707.76i | −0.119308 | + | 0.829805i | ||||
\(221\) | 53.2842 | − | 34.2437i | 0.0162185 | − | 0.0104230i | ||||
\(222\) | 353.928 | + | 103.923i | 0.107001 | + | 0.0314182i | ||||
\(223\) | 262.978 | + | 1829.05i | 0.0789701 | + | 0.549249i | 0.990447 | + | 0.137897i | \(0.0440342\pi\) |
−0.911477 | + | 0.411352i | \(0.865057\pi\) | |||||||
\(224\) | −800.372 | − | 923.678i | −0.238737 | − | 0.275517i | ||||
\(225\) | 1821.36 | + | 1170.52i | 0.539662 | + | 0.346819i | ||||
\(226\) | 1138.00 | − | 1313.32i | 0.334948 | − | 0.386551i | ||||
\(227\) | −3012.22 | + | 884.467i | −0.880739 | + | 0.258608i | −0.690677 | − | 0.723164i | \(-0.742687\pi\) |
−0.190063 | + | 0.981772i | \(0.560869\pi\) | |||||||
\(228\) | −445.318 | − | 975.110i | −0.129350 | − | 0.283238i | ||||
\(229\) | 2091.19 | 0.603448 | 0.301724 | − | 0.953395i | \(-0.402438\pi\) | ||||
0.301724 | + | 0.953395i | \(0.402438\pi\) | |||||||
\(230\) | 1435.67 | + | 1896.83i | 0.411588 | + | 0.543797i | ||||
\(231\) | 452.119 | 0.128776 | ||||||||
\(232\) | −1406.50 | − | 3079.81i | −0.398023 | − | 0.871550i | ||||
\(233\) | −579.415 | + | 170.132i | −0.162913 | + | 0.0478356i | −0.362172 | − | 0.932111i | \(-0.617965\pi\) |
0.199259 | + | 0.979947i | \(0.436146\pi\) | |||||||
\(234\) | −45.1140 | + | 52.0643i | −0.0126034 | + | 0.0145451i | ||||
\(235\) | −2376.77 | − | 1527.46i | −0.659760 | − | 0.424002i | ||||
\(236\) | −2219.55 | − | 2561.50i | −0.612206 | − | 0.706524i | ||||
\(237\) | 166.560 | + | 1158.45i | 0.0456507 | + | 0.317508i | ||||
\(238\) | 71.5846 | + | 21.0191i | 0.0194964 | + | 0.00572466i | ||||
\(239\) | −5632.31 | + | 3619.67i | −1.52437 | + | 0.979651i | −0.533354 | + | 0.845892i | \(0.679068\pi\) |
−0.991014 | + | 0.133759i | \(0.957295\pi\) | |||||||
\(240\) | −286.381 | + | 1991.82i | −0.0770242 | + | 0.535715i | ||||
\(241\) | 2320.31 | − | 5080.77i | 0.620184 | − | 1.35801i | −0.295202 | − | 0.955435i | \(-0.595387\pi\) |
0.915386 | − | 0.402578i | \(-0.131886\pi\) | |||||||
\(242\) | 411.746 | − | 901.598i | 0.109372 | − | 0.239491i | ||||
\(243\) | 34.5825 | − | 240.527i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | −2516.41 | + | 1617.20i | −0.660232 | + | 0.424305i | ||||
\(245\) | −5371.17 | − | 1577.12i | −1.40062 | − | 0.411259i | ||||
\(246\) | 154.145 | + | 1072.11i | 0.0399510 | + | 0.277866i | ||||
\(247\) | −236.031 | − | 272.394i | −0.0608028 | − | 0.0701702i | ||||
\(248\) | −4476.10 | − | 2876.62i | −1.14610 | − | 0.736554i | ||||
\(249\) | −1451.57 | + | 1675.20i | −0.369436 | + | 0.426352i | ||||
\(250\) | −2391.31 | + | 702.153i | −0.604960 | + | 0.177632i | ||||
\(251\) | 2284.74 | + | 5002.87i | 0.574547 | + | 1.25808i | 0.944341 | + | 0.328968i | \(0.106701\pi\) |
−0.369794 | + | 0.929114i | \(0.620572\pi\) | |||||||
\(252\) | 429.070 | 0.107258 | ||||||||
\(253\) | −831.407 | − | 2193.58i | −0.206601 | − | 0.545095i | ||||
\(254\) | −181.726 | −0.0448917 | ||||||||
\(255\) | −222.401 | − | 486.991i | −0.0546169 | − | 0.119594i | ||||
\(256\) | 937.441 | − | 275.258i | 0.228867 | − | 0.0672015i | ||||
\(257\) | 3117.43 | − | 3597.71i | 0.756654 | − | 0.873226i | −0.238541 | − | 0.971132i | \(-0.576669\pi\) |
0.995196 | + | 0.0979067i | \(0.0312147\pi\) | |||||||
\(258\) | 673.813 | + | 433.033i | 0.162596 | + | 0.104494i | ||||
\(259\) | −505.850 | − | 583.782i | −0.121359 | − | 0.140056i | ||||
\(260\) | 124.226 | + | 864.010i | 0.0296314 | + | 0.206091i | ||||
\(261\) | 1759.98 | + | 516.776i | 0.417394 | + | 0.122558i | ||||
\(262\) | −1629.24 | + | 1047.05i | −0.384180 | + | 0.246897i | ||||
\(263\) | 503.046 | − | 3498.76i | 0.117943 | − | 0.820315i | −0.841871 | − | 0.539679i | \(-0.818546\pi\) |
0.959814 | − | 0.280636i | \(-0.0905453\pi\) | |||||||
\(264\) | −440.299 | + | 964.121i | −0.102646 | + | 0.224763i | ||||
\(265\) | 4195.00 | − | 9185.77i | 0.972440 | − | 2.12935i | ||||
\(266\) | 60.4195 | − | 420.227i | 0.0139269 | − | 0.0968637i | ||||
\(267\) | 1556.86 | − | 1000.54i | 0.356849 | − | 0.229333i | ||||
\(268\) | −4504.55 | − | 1322.65i | −1.02671 | − | 0.301470i | ||||
\(269\) | −410.857 | − | 2857.57i | −0.0931240 | − | 0.647692i | −0.981907 | − | 0.189364i | \(-0.939357\pi\) |
0.888783 | − | 0.458328i | \(-0.151552\pi\) | |||||||
\(270\) | 381.325 | + | 440.072i | 0.0859507 | + | 0.0991924i | ||||
\(271\) | −3093.41 | − | 1988.02i | −0.693400 | − | 0.445621i | 0.145893 | − | 0.989300i | \(-0.453394\pi\) |
−0.839293 | + | 0.543679i | \(0.817031\pi\) | |||||||
\(272\) | 214.435 | − | 247.471i | 0.0478015 | − | 0.0551659i | ||||
\(273\) | 138.421 | − | 40.6442i | 0.0306873 | − | 0.00901061i | ||||
\(274\) | −685.803 | − | 1501.70i | −0.151208 | − | 0.331099i | ||||
\(275\) | 5116.05 | 1.12185 | ||||||||
\(276\) | −789.023 | − | 2081.75i | −0.172078 | − | 0.454010i | ||||
\(277\) | 1328.22 | 0.288104 | 0.144052 | − | 0.989570i | \(-0.453987\pi\) | ||||
0.144052 | + | 0.989570i | \(0.453987\pi\) | |||||||
\(278\) | 1332.70 | + | 2918.22i | 0.287519 | + | 0.629579i | ||||
\(279\) | 2765.81 | − | 812.114i | 0.593493 | − | 0.174265i | ||||
\(280\) | −1473.96 | + | 1701.05i | −0.314594 | + | 0.363060i | ||||
\(281\) | −419.838 | − | 269.814i | −0.0891297 | − | 0.0572802i | 0.495317 | − | 0.868712i | \(-0.335052\pi\) |
−0.584447 | + | 0.811432i | \(0.698688\pi\) | |||||||
\(282\) | −327.456 | − | 377.905i | −0.0691480 | − | 0.0798010i | ||||
\(283\) | 465.097 | + | 3234.82i | 0.0976932 | + | 0.679471i | 0.978538 | + | 0.206066i | \(0.0660662\pi\) |
−0.880845 | + | 0.473405i | \(0.843025\pi\) | |||||||
\(284\) | 3931.28 | + | 1154.33i | 0.821403 | + | 0.241186i | ||||
\(285\) | −2562.90 | + | 1647.07i | −0.532677 | + | 0.342330i | ||||
\(286\) | −23.1675 | + | 161.133i | −0.00478994 | + | 0.0333147i | ||||
\(287\) | 942.240 | − | 2063.22i | 0.193793 | − | 0.424348i | ||||
\(288\) | −644.830 | + | 1411.98i | −0.131934 | + | 0.288895i | ||||
\(289\) | 686.795 | − | 4776.76i | 0.139791 | − | 0.972270i | ||||
\(290\) | −3697.70 | + | 2376.37i | −0.748746 | + | 0.481190i | ||||
\(291\) | −2879.29 | − | 845.434i | −0.580023 | − | 0.170310i | ||||
\(292\) | −1019.89 | − | 7093.51i | −0.204400 | − | 1.42163i | ||||
\(293\) | 2239.90 | + | 2584.98i | 0.446609 | + | 0.515414i | 0.933758 | − | 0.357905i | \(-0.116509\pi\) |
−0.487149 | + | 0.873319i | \(0.661963\pi\) | |||||||
\(294\) | −833.484 | − | 535.647i | −0.165339 | − | 0.106257i | ||||
\(295\) | −6307.86 | + | 7279.66i | −1.24494 | + | 1.43674i | ||||
\(296\) | 1737.51 | − | 510.180i | 0.341185 | − | 0.100181i | ||||
\(297\) | −238.537 | − | 522.322i | −0.0466037 | − | 0.102048i | ||||
\(298\) | −1264.57 | −0.245821 | ||||||||
\(299\) | −451.741 | − | 596.848i | −0.0873741 | − | 0.115440i | ||||
\(300\) | 4855.24 | 0.934392 | ||||||||
\(301\) | −696.777 | − | 1525.73i | −0.133427 | − | 0.292165i | ||||
\(302\) | 1111.12 | − | 326.253i | 0.211714 | − | 0.0621648i | ||||
\(303\) | −1067.07 | + | 1231.46i | −0.202315 | + | 0.233484i | ||||
\(304\) | −1567.55 | − | 1007.40i | −0.295741 | − | 0.190061i | ||||
\(305\) | 5566.98 | + | 6424.64i | 1.04513 | + | 1.20614i | ||||
\(306\) | −13.4849 | − | 93.7897i | −0.00251922 | − | 0.0175216i | ||||
\(307\) | 1195.03 | + | 350.892i | 0.222162 | + | 0.0652328i | 0.390919 | − | 0.920425i | \(-0.372157\pi\) |
−0.168757 | + | 0.985658i | \(0.553975\pi\) | |||||||
\(308\) | 852.947 | − | 548.156i | 0.157796 | − | 0.101409i | ||||
\(309\) | −692.990 | + | 4819.85i | −0.127582 | + | 0.887352i | ||||
\(310\) | −2869.47 | + | 6283.27i | −0.525726 | + | 1.15118i | ||||
\(311\) | 2374.16 | − | 5198.69i | 0.432882 | − | 0.947879i | −0.559968 | − | 0.828514i | \(-0.689187\pi\) |
0.992850 | − | 0.119365i | \(-0.0380860\pi\) | |||||||
\(312\) | −48.1310 | + | 334.758i | −0.00873359 | + | 0.0607435i | ||||
\(313\) | −7297.76 | + | 4689.98i | −1.31787 | + | 0.846944i | −0.995036 | − | 0.0995111i | \(-0.968272\pi\) |
−0.322835 | + | 0.946455i | \(0.604636\pi\) | |||||||
\(314\) | −98.4612 | − | 28.9108i | −0.0176958 | − | 0.00519596i | ||||
\(315\) | −173.538 | − | 1206.98i | −0.0310405 | − | 0.215892i | ||||
\(316\) | 1718.75 | + | 1983.54i | 0.305972 | + | 0.353110i | ||||
\(317\) | −953.071 | − | 612.501i | −0.168864 | − | 0.108522i | 0.453479 | − | 0.891267i | \(-0.350183\pi\) |
−0.622343 | + | 0.782745i | \(0.713819\pi\) | |||||||
\(318\) | 1170.42 | − | 1350.74i | 0.206396 | − | 0.238194i | ||||
\(319\) | 4158.85 | − | 1221.15i | 0.729940 | − | 0.214330i | ||||
\(320\) | 683.976 | + | 1497.70i | 0.119486 | + | 0.261637i | ||||
\(321\) | 3814.42 | 0.663241 | ||||||||
\(322\) | 182.857 | − | 862.520i | 0.0316466 | − | 0.149274i | ||||
\(323\) | 495.743 | 0.0853989 | ||||||||
\(324\) | −226.376 | − | 495.695i | −0.0388162 | − | 0.0849957i | ||||
\(325\) | 1566.34 | − | 459.918i | 0.267338 | − | 0.0784974i | ||||
\(326\) | 2125.54 | − | 2453.01i | 0.361114 | − | 0.416747i | ||||
\(327\) | −3578.43 | − | 2299.72i | −0.605161 | − | 0.388914i | ||||
\(328\) | 3482.10 | + | 4018.56i | 0.586180 | + | 0.676488i | ||||
\(329\) | 149.023 | + | 1036.48i | 0.0249723 | + | 0.173686i | ||||
\(330\) | 1320.24 | + | 387.659i | 0.220233 | + | 0.0646664i | ||||
\(331\) | −826.950 | + | 531.448i | −0.137321 | + | 0.0882509i | −0.607498 | − | 0.794321i | \(-0.707827\pi\) |
0.470177 | + | 0.882572i | \(0.344190\pi\) | |||||||
\(332\) | −707.428 | + | 4920.27i | −0.116943 | + | 0.813358i | ||||
\(333\) | −407.545 | + | 892.398i | −0.0670670 | + | 0.146856i | ||||
\(334\) | 951.997 | − | 2084.58i | 0.155961 | − | 0.341507i | ||||
\(335\) | −1898.79 | + | 13206.3i | −0.309677 | + | 2.15385i | ||||
\(336\) | 627.426 | − | 403.222i | 0.101872 | − | 0.0654690i | ||||
\(337\) | −1031.95 | − | 303.007i | −0.166806 | − | 0.0489787i | 0.197263 | − | 0.980351i | \(-0.436795\pi\) |
−0.364069 | + | 0.931372i | \(0.618613\pi\) | |||||||
\(338\) | −345.289 | − | 2401.54i | −0.0555658 | − | 0.386468i | ||||
\(339\) | 3026.63 | + | 3492.92i | 0.484909 | + | 0.559615i | ||||
\(340\) | −1010.01 | − | 649.092i | −0.161104 | − | 0.103535i | ||||
\(341\) | 4460.62 | − | 5147.83i | 0.708376 | − | 0.817510i | ||||
\(342\) | −517.355 | + | 151.909i | −0.0817993 | + | 0.0240185i | ||||
\(343\) | 1871.60 | + | 4098.24i | 0.294627 | + | 0.645143i | ||||
\(344\) | 3932.10 | 0.616293 | ||||||||
\(345\) | −5536.90 | + | 3061.51i | −0.864048 | + | 0.477757i | ||||
\(346\) | 3070.79 | 0.477129 | ||||||||
\(347\) | 1720.96 | + | 3768.38i | 0.266242 | + | 0.582989i | 0.994783 | − | 0.102013i | \(-0.0325284\pi\) |
−0.728541 | + | 0.685002i | \(0.759801\pi\) | |||||||
\(348\) | 3946.84 | − | 1158.90i | 0.607968 | − | 0.178515i | ||||
\(349\) | 2477.06 | − | 2858.68i | 0.379925 | − | 0.438457i | −0.533291 | − | 0.845932i | \(-0.679045\pi\) |
0.913217 | + | 0.407474i | \(0.133590\pi\) | |||||||
\(350\) | 1617.62 | + | 1039.58i | 0.247044 | + | 0.158766i | ||||
\(351\) | −119.986 | − | 138.471i | −0.0182461 | − | 0.0210571i | ||||
\(352\) | 522.011 | + | 3630.67i | 0.0790434 | + | 0.549759i | ||||
\(353\) | −7500.17 | − | 2202.25i | −1.13086 | − | 0.332050i | −0.337814 | − | 0.941213i | \(-0.609688\pi\) |
−0.793046 | + | 0.609162i | \(0.791506\pi\) | |||||||
\(354\) | −1434.18 | + | 921.690i | −0.215327 | + | 0.138382i | ||||
\(355\) | 1657.14 | − | 11525.6i | 0.247751 | − | 1.72315i | ||||
\(356\) | 1724.05 | − | 3775.13i | 0.256669 | − | 0.562027i | ||||
\(357\) | −82.4288 | + | 180.494i | −0.0122202 | + | 0.0267584i | ||||
\(358\) | 234.398 | − | 1630.27i | 0.0346042 | − | 0.240678i | ||||
\(359\) | 4123.34 | − | 2649.91i | 0.606188 | − | 0.389574i | −0.201238 | − | 0.979542i | \(-0.564496\pi\) |
0.807426 | + | 0.589969i | \(0.200860\pi\) | |||||||
\(360\) | 2742.84 | + | 805.370i | 0.401556 | + | 0.117908i | ||||
\(361\) | 574.665 | + | 3996.89i | 0.0837827 | + | 0.582721i | ||||
\(362\) | −2658.07 | − | 3067.58i | −0.385926 | − | 0.445382i | ||||
\(363\) | 2217.65 | + | 1425.20i | 0.320652 | + | 0.206070i | ||||
\(364\) | 211.862 | − | 244.502i | 0.0305071 | − | 0.0352070i | ||||
\(365\) | −19541.7 | + | 5737.96i | −2.80235 | + | 0.822846i | ||||
\(366\) | 625.023 | + | 1368.61i | 0.0892636 | + | 0.195460i | ||||
\(367\) | −3261.64 | −0.463913 | −0.231957 | − | 0.972726i | \(-0.574513\pi\) | ||||
−0.231957 | + | 0.972726i | \(0.574513\pi\) | |||||||
\(368\) | −3110.13 | − | 2302.64i | −0.440561 | − | 0.326178i | ||||
\(369\) | −2880.71 | −0.406406 | ||||||||
\(370\) | −976.596 | − | 2138.45i | −0.137218 | − | 0.300466i | ||||
\(371\) | −3591.15 | + | 1054.46i | −0.502542 | + | 0.147560i | ||||
\(372\) | 4233.23 | − | 4885.41i | 0.590007 | − | 0.680905i | ||||
\(373\) | 8887.88 | + | 5711.89i | 1.23377 | + | 0.792897i | 0.984474 | − | 0.175530i | \(-0.0561638\pi\) |
0.249298 | + | 0.968427i | \(0.419800\pi\) | |||||||
\(374\) | −146.627 | − | 169.216i | −0.0202724 | − | 0.0233957i | ||||
\(375\) | −943.331 | − | 6561.01i | −0.129902 | − | 0.903491i | ||||
\(376\) | −2355.37 | − | 691.598i | −0.323055 | − | 0.0948575i | ||||
\(377\) | 1163.50 | − | 747.737i | 0.158948 | − | 0.102150i | ||||
\(378\) | 30.7141 | − | 213.621i | 0.00417927 | − | 0.0290675i | ||||
\(379\) | −888.125 | + | 1944.72i | −0.120369 | + | 0.263572i | −0.960220 | − | 0.279246i | \(-0.909915\pi\) |
0.839850 | + | 0.542818i | \(0.182643\pi\) | |||||||
\(380\) | −2838.11 | + | 6214.59i | −0.383136 | + | 0.838952i | ||||
\(381\) | 68.7837 | − | 478.401i | 0.00924907 | − | 0.0643287i | ||||
\(382\) | −123.319 | + | 79.2520i | −0.0165171 | + | 0.0106149i | ||||
\(383\) | −3707.14 | − | 1088.52i | −0.494585 | − | 0.145223i | 0.0249219 | − | 0.999689i | \(-0.492066\pi\) |
−0.519507 | + | 0.854466i | \(0.673884\pi\) | |||||||
\(384\) | 630.562 | + | 4385.66i | 0.0837975 | + | 0.582824i | ||||
\(385\) | −1886.95 | − | 2177.66i | −0.249787 | − | 0.288269i | ||||
\(386\) | 4869.26 | + | 3129.29i | 0.642070 | + | 0.412633i | ||||
\(387\) | −1395.02 | + | 1609.94i | −0.183238 | + | 0.211467i | ||||
\(388\) | −6456.95 | + | 1895.93i | −0.844850 | + | 0.248070i | ||||
\(389\) | −2228.06 | − | 4878.76i | −0.290404 | − | 0.635895i | 0.707054 | − | 0.707160i | \(-0.250024\pi\) |
−0.997457 | + | 0.0712646i | \(0.977297\pi\) | |||||||
\(390\) | 439.057 | 0.0570065 | ||||||||
\(391\) | 1027.30 | + | 68.0137i | 0.132871 | + | 0.00879693i | ||||
\(392\) | −4863.88 | −0.626691 | ||||||||
\(393\) | −2139.74 | − | 4685.37i | −0.274645 | − | 0.601389i | ||||
\(394\) | −1022.88 | + | 300.346i | −0.130792 | + | 0.0384041i | ||||
\(395\) | 4884.59 | − | 5637.12i | 0.622203 | − | 0.718061i | ||||
\(396\) | −1083.28 | − | 696.184i | −0.137467 | − | 0.0883449i | ||||
\(397\) | −5358.30 | − | 6183.81i | −0.677394 | − | 0.781754i | 0.308120 | − | 0.951347i | \(-0.400300\pi\) |
−0.985514 | + | 0.169593i | \(0.945755\pi\) | |||||||
\(398\) | −284.348 | − | 1977.68i | −0.0358117 | − | 0.249076i | ||||
\(399\) | 1083.40 | + | 318.114i | 0.135934 | + | 0.0399139i | ||||
\(400\) | 7099.78 | − | 4562.75i | 0.887473 | − | 0.570344i | ||||
\(401\) | 230.804 | − | 1605.28i | 0.0287426 | − | 0.199909i | −0.970390 | − | 0.241542i | \(-0.922347\pi\) |
0.999133 | + | 0.0416327i | \(0.0132559\pi\) | |||||||
\(402\) | −980.959 | + | 2148.00i | −0.121706 | + | 0.266499i | ||||
\(403\) | 902.896 | − | 1977.07i | 0.111604 | − | 0.244379i | ||||
\(404\) | −520.039 | + | 3616.95i | −0.0640419 | + | 0.445421i | ||||
\(405\) | −1302.84 | + | 837.286i | −0.159849 | + | 0.102729i | ||||
\(406\) | 1563.11 | + | 458.969i | 0.191073 | + | 0.0561041i | ||||
\(407\) | 329.921 | + | 2294.65i | 0.0401807 | + | 0.279463i | ||||
\(408\) | −304.621 | − | 351.551i | −0.0369632 | − | 0.0426578i | ||||
\(409\) | 7474.83 | + | 4803.78i | 0.903684 | + | 0.580762i | 0.907881 | − | 0.419229i | \(-0.137700\pi\) |
−0.00419691 | + | 0.999991i | \(0.501336\pi\) | |||||||
\(410\) | 4520.52 | − | 5216.96i | 0.544518 | − | 0.628408i | ||||
\(411\) | 4212.87 | − | 1237.01i | 0.505610 | − | 0.148461i | ||||
\(412\) | 4536.30 | + | 9933.11i | 0.542445 | + | 1.18779i | ||||
\(413\) | 3570.06 | 0.425353 | ||||||||
\(414\) | −1092.92 | + | 243.813i | −0.129745 | + | 0.0289439i | ||||
\(415\) | 14126.9 | 1.67100 | ||||||||
\(416\) | 486.206 | + | 1064.64i | 0.0573034 | + | 0.125477i | ||||
\(417\) | −8186.78 | + | 2403.85i | −0.961410 | + | 0.282296i | ||||
\(418\) | −834.377 | + | 962.923i | −0.0976333 | + | 0.112675i | ||||
\(419\) | 1696.46 | + | 1090.25i | 0.197799 | + | 0.127117i | 0.635791 | − | 0.771861i | \(-0.280674\pi\) |
−0.437992 | + | 0.898979i | \(0.644310\pi\) | |||||||
\(420\) | −1790.76 | − | 2066.64i | −0.208047 | − | 0.240100i | ||||
\(421\) | 912.684 | + | 6347.86i | 0.105657 | + | 0.734859i | 0.971927 | + | 0.235283i | \(0.0756017\pi\) |
−0.866270 | + | 0.499576i | \(0.833489\pi\) | |||||||
\(422\) | −3409.97 | − | 1001.26i | −0.393352 | − | 0.115499i | ||||
\(423\) | 1118.79 | − | 719.006i | 0.128600 | − | 0.0826460i | ||||
\(424\) | 1248.69 | − | 8684.84i | 0.143023 | − | 0.994748i | ||||
\(425\) | −932.742 | + | 2042.42i | −0.106458 | + | 0.233111i | ||||
\(426\) | 856.118 | − | 1874.64i | 0.0973687 | − | 0.213208i | ||||
\(427\) | 448.397 | − | 3118.67i | 0.0508184 | − | 0.353450i | ||||
\(428\) | 7196.12 | − | 4624.67i | 0.812705 | − | 0.522294i | ||||
\(429\) | −415.422 | − | 121.979i | −0.0467524 | − | 0.0137277i | ||||
\(430\) | −726.477 | − | 5052.76i | −0.0814740 | − | 0.566664i | ||||
\(431\) | −11466.7 | − | 13233.2i | −1.28151 | − | 1.47894i | −0.796778 | − | 0.604272i | \(-0.793464\pi\) |
−0.484728 | − | 0.874665i | \(-0.661081\pi\) | |||||||
\(432\) | −796.862 | − | 512.112i | −0.0887477 | − | 0.0570347i | ||||
\(433\) | −6361.94 | + | 7342.07i | −0.706086 | + | 0.814867i | −0.989561 | − | 0.144113i | \(-0.953967\pi\) |
0.283475 | + | 0.958980i | \(0.408513\pi\) | |||||||
\(434\) | 2456.43 | − | 721.272i | 0.271687 | − | 0.0797745i | ||||
\(435\) | −4856.31 | − | 10633.8i | −0.535269 | − | 1.17208i | ||||
\(436\) | −9539.13 | −1.04780 | ||||||||
\(437\) | −448.854 | − | 5841.39i | −0.0491341 | − | 0.639431i | ||||
\(438\) | −3604.66 | −0.393235 | ||||||||
\(439\) | −36.3329 | − | 79.5580i | −0.00395006 | − | 0.00864942i | 0.907647 | − | 0.419735i | \(-0.137877\pi\) |
−0.911597 | + | 0.411086i | \(0.865150\pi\) | |||||||
\(440\) | 6481.37 | − | 1903.10i | 0.702243 | − | 0.206197i | ||||
\(441\) | 1725.59 | − | 1991.44i | 0.186329 | − | 0.215035i | ||||
\(442\) | −60.1036 | − | 38.6262i | −0.00646795 | − | 0.00415670i | ||||
\(443\) | −3824.58 | − | 4413.81i | −0.410184 | − | 0.473378i | 0.512638 | − | 0.858605i | \(-0.328668\pi\) |
−0.922822 | + | 0.385227i | \(0.874123\pi\) | |||||||
\(444\) | 313.102 | + | 2177.67i | 0.0334666 | + | 0.232765i | ||||
\(445\) | −11316.8 | − | 3322.92i | −1.20555 | − | 0.353981i | ||||
\(446\) | 1753.47 | − | 1126.89i | 0.186164 | − | 0.119640i | ||||
\(447\) | 478.643 | − | 3329.04i | 0.0506467 | − | 0.352255i | ||||
\(448\) | 253.503 | − | 555.094i | 0.0267341 | − | 0.0585396i | ||||
\(449\) | −6300.90 | + | 13797.0i | −0.662267 | + | 1.45016i | 0.218128 | + | 0.975920i | \(0.430005\pi\) |
−0.880395 | + | 0.474241i | \(0.842722\pi\) | |||||||
\(450\) | 347.553 | − | 2417.28i | 0.0364084 | − | 0.253226i | ||||
\(451\) | −5726.55 | + | 3680.23i | −0.597900 | + | 0.384247i | ||||
\(452\) | 9944.78 | + | 2920.05i | 1.03487 | + | 0.303867i | ||||
\(453\) | 438.316 | + | 3048.55i | 0.0454611 | + | 0.316189i | ||||
\(454\) | 2318.97 | + | 2676.24i | 0.239724 | + | 0.276656i | ||||
\(455\) | −773.476 | − | 497.083i | −0.0796948 | − | 0.0512167i | ||||
\(456\) | −1733.44 | + | 2000.50i | −0.178017 | + | 0.205442i | ||||
\(457\) | 17026.0 | − | 4999.28i | 1.74276 | − | 0.511721i | 0.753445 | − | 0.657510i | \(-0.228390\pi\) |
0.989316 | + | 0.145790i | \(0.0465723\pi\) | |||||||
\(458\) | −979.889 | − | 2145.66i | −0.0999721 | − | 0.218908i | ||||
\(459\) | 252.010 | 0.0256270 | ||||||||
\(460\) | −6733.84 | + | 12488.7i | −0.682537 | + | 1.26585i | ||||
\(461\) | −15042.7 | −1.51976 | −0.759880 | − | 0.650063i | \(-0.774742\pi\) | ||||
−0.759880 | + | 0.650063i | \(0.774742\pi\) | |||||||
\(462\) | −211.854 | − | 463.895i | −0.0213341 | − | 0.0467151i | ||||
\(463\) | −2944.70 | + | 864.643i | −0.295577 | + | 0.0867891i | −0.426159 | − | 0.904648i | \(-0.640134\pi\) |
0.130582 | + | 0.991437i | \(0.458315\pi\) | |||||||
\(464\) | 4682.35 | − | 5403.72i | 0.468475 | − | 0.540649i | ||||
\(465\) | −15454.9 | − | 9932.26i | −1.54130 | − | 0.990532i | ||||
\(466\) | 446.066 | + | 514.787i | 0.0443425 | + | 0.0511739i | ||||
\(467\) | −1847.63 | − | 12850.5i | −0.183079 | − | 1.27334i | −0.849428 | − | 0.527704i | \(-0.823053\pi\) |
0.666349 | − | 0.745640i | \(-0.267856\pi\) | |||||||
\(468\) | −394.245 | − | 115.761i | −0.0389401 | − | 0.0114338i | ||||
\(469\) | 4160.01 | − | 2673.48i | 0.409577 | − | 0.263219i | ||||
\(470\) | −453.538 | + | 3154.42i | −0.0445109 | + | 0.309580i | ||||
\(471\) | 113.377 | − | 248.261i | 0.0110916 | − | 0.0242872i | ||||
\(472\) | −3476.73 | + | 7612.97i | −0.339045 | + | 0.742406i | ||||
\(473\) | −716.388 | + | 4982.59i | −0.0696397 | + | 0.484355i | ||||
\(474\) | 1110.58 | − | 713.725i | 0.107617 | − | 0.0691614i | ||||
\(475\) | 12259.4 | + | 3599.69i | 1.18421 | + | 0.347716i | ||||
\(476\) | 63.3271 | + | 440.450i | 0.00609789 | + | 0.0424117i | ||||
\(477\) | 3112.87 | + | 3592.44i | 0.298802 | + | 0.344836i | ||||
\(478\) | 6353.14 | + | 4082.92i | 0.607920 | + | 0.390687i | ||||
\(479\) | −1869.34 | + | 2157.33i | −0.178314 | + | 0.205785i | −0.837870 | − | 0.545871i | \(-0.816199\pi\) |
0.659556 | + | 0.751656i | \(0.270744\pi\) | |||||||
\(480\) | 9492.13 | − | 2787.14i | 0.902614 | − | 0.265031i | ||||
\(481\) | 307.291 | + | 672.874i | 0.0291295 | + | 0.0637846i | ||||
\(482\) | −6300.36 | −0.595381 | ||||||||
\(483\) | 2201.41 | + | 807.845i | 0.207387 | + | 0.0761040i | ||||
\(484\) | 5911.65 | 0.555189 | ||||||||
\(485\) | 7944.82 | + | 17396.7i | 0.743826 | + | 1.62875i | ||||
\(486\) | −262.997 | + | 77.2228i | −0.0245468 | + | 0.00720760i | ||||
\(487\) | −9519.68 | + | 10986.3i | −0.885787 | + | 1.02225i | 0.113800 | + | 0.993504i | \(0.463698\pi\) |
−0.999587 | + | 0.0287485i | \(0.990848\pi\) | |||||||
\(488\) | 6213.74 | + | 3993.33i | 0.576399 | + | 0.370429i | ||||
\(489\) | 5653.14 | + | 6524.07i | 0.522789 | + | 0.603330i | ||||
\(490\) | 898.627 | + | 6250.09i | 0.0828486 | + | 0.576225i | ||||
\(491\) | 4376.84 | + | 1285.16i | 0.402289 | + | 0.118123i | 0.476617 | − | 0.879111i | \(-0.341863\pi\) |
−0.0743278 | + | 0.997234i | \(0.523681\pi\) | |||||||
\(492\) | −5434.62 | + | 3492.62i | −0.497991 | + | 0.320039i | ||||
\(493\) | −270.724 | + | 1882.93i | −0.0247318 | + | 0.172014i | ||||
\(494\) | −168.890 | + | 369.818i | −0.0153820 | + | 0.0336820i | ||||
\(495\) | −1520.25 | + | 3328.87i | −0.138040 | + | 0.302266i | ||||
\(496\) | 1599.12 | − | 11122.1i | 0.144763 | − | 1.00685i | ||||
\(497\) | −3630.59 | + | 2333.24i | −0.327674 | + | 0.210584i | ||||
\(498\) | 2399.02 | + | 704.415i | 0.215868 | + | 0.0633847i | ||||
\(499\) | 867.163 | + | 6031.25i | 0.0777947 | + | 0.541074i | 0.991030 | + | 0.133641i | \(0.0426669\pi\) |
−0.913235 | + | 0.407433i | \(0.866424\pi\) | |||||||
\(500\) | −9734.32 | − | 11234.0i | −0.870664 | − | 1.00480i | ||||
\(501\) | 5127.43 | + | 3295.20i | 0.457239 | + | 0.293849i | ||||
\(502\) | 4062.61 | − | 4688.50i | 0.361201 | − | 0.416848i | ||||
\(503\) | −6902.78 | + | 2026.84i | −0.611888 | + | 0.179667i | −0.572971 | − | 0.819576i | \(-0.694209\pi\) |
−0.0389174 | + | 0.999242i | \(0.512391\pi\) | |||||||
\(504\) | −440.132 | − | 963.754i | −0.0388988 | − | 0.0851766i | ||||
\(505\) | 10384.9 | 0.915093 | ||||||||
\(506\) | −1861.14 | + | 1880.93i | −0.163513 | + | 0.165252i | ||||
\(507\) | 6452.85 | 0.565249 | ||||||||
\(508\) | −450.257 | − | 985.925i | −0.0393246 | − | 0.0861090i | ||||
\(509\) | −4216.47 | + | 1238.07i | −0.367174 | + | 0.107812i | −0.460114 | − | 0.887860i | \(-0.652192\pi\) |
0.0929402 | + | 0.995672i | \(0.470373\pi\) | |||||||
\(510\) | −395.463 | + | 456.389i | −0.0343361 | + | 0.0396260i | ||||
\(511\) | 6350.23 | + | 4081.05i | 0.549741 | + | 0.353297i | ||||
\(512\) | 7015.71 | + | 8096.56i | 0.605573 | + | 0.698869i | ||||
\(513\) | −204.088 | − | 1419.46i | −0.0175647 | − | 0.122165i | ||||
\(514\) | −5152.19 | − | 1512.82i | −0.442127 | − | 0.129820i | ||||
\(515\) | 26107.3 | − | 16778.2i | 2.23384 | − | 1.43560i | ||||
\(516\) | −679.868 | + | 4728.59i | −0.0580030 | + | 0.403419i | ||||
\(517\) | 1305.49 | − | 2858.61i | 0.111055 | − | 0.243175i | ||||
\(518\) | −361.957 | + | 792.575i | −0.0307017 | + | 0.0672273i | ||||
\(519\) | −1162.30 | + | 8084.00i | −0.0983034 | + | 0.683715i | ||||
\(520\) | 1813.26 | − | 1165.31i | 0.152917 | − | 0.0982737i | ||||
\(521\) | 1681.20 | + | 493.643i | 0.141371 | + | 0.0415104i | 0.351653 | − | 0.936131i | \(-0.385620\pi\) |
−0.210281 | + | 0.977641i | \(0.567438\pi\) | |||||||
\(522\) | −294.454 | − | 2047.97i | −0.0246895 | − | 0.171719i | ||||
\(523\) | 4521.36 | + | 5217.93i | 0.378021 | + | 0.436260i | 0.912597 | − | 0.408861i | \(-0.134074\pi\) |
−0.534575 | + | 0.845121i | \(0.679528\pi\) | |||||||
\(524\) | −9717.36 | − | 6244.97i | −0.810123 | − | 0.520635i | ||||
\(525\) | −3349.02 | + | 3864.98i | −0.278406 | + | 0.321298i | ||||
\(526\) | −3825.61 | + | 1123.30i | −0.317119 | + | 0.0931146i | ||||
\(527\) | 1241.86 | + | 2719.30i | 0.102650 | + | 0.224771i | ||||
\(528\) | −2238.32 | −0.184489 | ||||||||
\(529\) | −128.719 | − | 12166.3i | −0.0105794 | − | 0.999944i | ||||
\(530\) | −11390.7 | −0.933551 | ||||||||
\(531\) | −1883.55 | − | 4124.40i | −0.153934 | − | 0.337069i | ||||
\(532\) | 2429.58 | − | 713.388i | 0.197999 | − | 0.0581378i | ||||
\(533\) | −1422.41 | + | 1641.54i | −0.115593 | + | 0.133402i | ||||
\(534\) | −1756.11 | − | 1128.59i | −0.142312 | − | 0.0914583i | ||||
\(535\) | −15919.8 | − | 18372.4i | −1.28649 | − | 1.48469i | ||||
\(536\) | 1649.80 | + | 11474.6i | 0.132949 | + | 0.924679i | ||||
\(537\) | 4203.05 | + | 1234.13i | 0.337756 | + | 0.0991741i | ||||
\(538\) | −2739.49 | + | 1760.56i | −0.219531 | + | 0.141084i | ||||
\(539\) | 886.148 | − | 6163.29i | 0.0708146 | − | 0.492527i | ||||
\(540\) | −1442.75 | + | 3159.17i | −0.114974 | + | 0.251758i | ||||
\(541\) | −4390.21 | + | 9613.21i | −0.348890 | + | 0.763963i | 0.651097 | + | 0.758994i | \(0.274309\pi\) |
−0.999988 | + | 0.00496900i | \(0.998418\pi\) | |||||||
\(542\) | −590.287 | + | 4105.54i | −0.0467804 | + | 0.325365i | ||||
\(543\) | 9081.63 | − | 5836.41i | 0.717735 | − | 0.461260i | ||||
\(544\) | −1544.60 | − | 453.535i | −0.121736 | − | 0.0357448i | ||||
\(545\) | 3858.11 | + | 26833.8i | 0.303236 | + | 2.10905i | ||||
\(546\) | −106.564 | − | 122.982i | −0.00835263 | − | 0.00963944i | ||||
\(547\) | 2044.47 | + | 1313.90i | 0.159808 | + | 0.102703i | 0.618101 | − | 0.786099i | \(-0.287902\pi\) |
−0.458292 | + | 0.888801i | \(0.651539\pi\) | |||||||
\(548\) | 6448.05 | − | 7441.44i | 0.502640 | − | 0.580078i | ||||
\(549\) | −3839.50 | + | 1127.38i | −0.298481 | + | 0.0876419i | ||||
\(550\) | −2397.28 | − | 5249.31i | −0.185855 | − | 0.406966i | ||||
\(551\) | 10824.9 | 0.836947 | ||||||||
\(552\) | −3866.55 | + | 3907.68i | −0.298137 | + | 0.301308i | ||||
\(553\) | −2764.53 | −0.212585 | ||||||||
\(554\) | −622.377 | − | 1362.81i | −0.0477297 | − | 0.104513i | ||||
\(555\) | 5999.20 | − | 1761.53i | 0.458832 | − | 0.134725i | ||||
\(556\) | −12530.3 | + | 14460.8i | −0.955763 | + | 1.10301i | ||||
\(557\) | 4975.81 | + | 3197.76i | 0.378513 | + | 0.243256i | 0.716038 | − | 0.698061i | \(-0.245954\pi\) |
−0.337525 | + | 0.941316i | \(0.609590\pi\) | |||||||
\(558\) | −2129.27 | − | 2457.31i | −0.161540 | − | 0.186427i | ||||
\(559\) | 228.590 | + | 1589.88i | 0.0172958 | + | 0.120295i | ||||
\(560\) | −4560.75 | − | 1339.16i | −0.344155 | − | 0.101053i | ||||
\(561\) | 500.969 | − | 321.953i | 0.0377022 | − | 0.0242297i | ||||
\(562\) | −80.1138 | + | 557.203i | −0.00601316 | + | 0.0418224i | ||||
\(563\) | 9084.65 | − | 19892.6i | 0.680057 | − | 1.48912i | −0.182525 | − | 0.983201i | \(-0.558427\pi\) |
0.862582 | − | 0.505917i | \(-0.168846\pi\) | |||||||
\(564\) | 1238.93 | − | 2712.89i | 0.0924974 | − | 0.202541i | ||||
\(565\) | 4191.99 | − | 29155.9i | 0.312138 | − | 2.17097i | ||||
\(566\) | 3101.15 | − | 1992.99i | 0.230302 | − | 0.148006i | ||||
\(567\) | 550.743 | + | 161.713i | 0.0407919 | + | 0.0119776i | ||||
\(568\) | −1439.84 | − | 10014.3i | −0.106363 | − | 0.739773i | ||||
\(569\) | 13257.1 | + | 15299.5i | 0.976740 | + | 1.12722i | 0.991860 | + | 0.127332i | \(0.0406413\pi\) |
−0.0151207 | + | 0.999886i | \(0.504813\pi\) | |||||||
\(570\) | 2890.90 | + | 1857.87i | 0.212432 | + | 0.136522i | ||||
\(571\) | −12234.4 | + | 14119.3i | −0.896664 | + | 1.03481i | 0.102533 | + | 0.994730i | \(0.467305\pi\) |
−0.999197 | + | 0.0400754i | \(0.987240\pi\) | |||||||
\(572\) | −931.606 | + | 273.544i | −0.0680986 | + | 0.0199956i | ||||
\(573\) | −161.958 | − | 354.639i | −0.0118079 | − | 0.0258556i | ||||
\(574\) | −2558.48 | −0.186043 | ||||||||
\(575\) | 24910.6 | + | 9141.36i | 1.80668 | + | 0.662993i | ||||
\(576\) | −775.035 | −0.0560644 | ||||||||
\(577\) | −5588.50 | − | 12237.1i | −0.403210 | − | 0.882908i | −0.996935 | − | 0.0782391i | \(-0.975070\pi\) |
0.593724 | − | 0.804669i | \(-0.297657\pi\) | |||||||
\(578\) | −5223.01 | + | 1533.61i | −0.375862 | + | 0.110363i | ||||
\(579\) | −10081.0 | + | 11634.1i | −0.723580 | + | 0.835056i | ||||
\(580\) | −22054.3 | − | 14173.4i | −1.57889 | − | 1.01469i | ||||
\(581\) | −3428.78 | − | 3957.02i | −0.244836 | − | 0.282556i | ||||
\(582\) | 481.720 | + | 3350.44i | 0.0343092 | + | 0.238626i | ||||
\(583\) | 10777.6 | + | 3164.58i | 0.765627 | + | 0.224808i | ||||
\(584\) | −14886.9 | + | 9567.20i | −1.05483 | + | 0.677900i | ||||
\(585\) | −166.184 | + | 1155.84i | −0.0117451 | + | 0.0816890i | ||||
\(586\) | 1602.74 | − | 3509.52i | 0.112984 | − | 0.247401i | ||||
\(587\) | 4841.11 | − | 10600.6i | 0.340399 | − | 0.745370i | −0.659582 | − | 0.751633i | \(-0.729266\pi\) |
0.999980 | + | 0.00626351i | \(0.00199375\pi\) | |||||||
\(588\) | 840.973 | − | 5849.10i | 0.0589816 | − | 0.410226i | ||||
\(589\) | 14310.9 | − | 9197.06i | 1.00114 | − | 0.643393i | ||||
\(590\) | 10425.0 | + | 3061.06i | 0.727443 | + | 0.213596i | ||||
\(591\) | −403.510 | − | 2806.47i | −0.0280849 | − | 0.195335i | ||||
\(592\) | 2504.33 | + | 2890.15i | 0.173864 | + | 0.200649i | ||||
\(593\) | −7663.35 | − | 4924.94i | −0.530685 | − | 0.341050i | 0.247701 | − | 0.968837i | \(-0.420325\pi\) |
−0.778386 | + | 0.627786i | \(0.783961\pi\) | |||||||
\(594\) | −424.154 | + | 489.500i | −0.0292984 | + | 0.0338122i | ||||
\(595\) | 1213.38 | − | 356.281i | 0.0836031 | − | 0.0245481i | ||||
\(596\) | −3133.19 | − | 6860.73i | −0.215336 | − | 0.471521i | ||||
\(597\) | 5313.97 | 0.364298 | ||||||||
\(598\) | −400.718 | + | 743.179i | −0.0274023 | + | 0.0508208i | ||||
\(599\) | −14935.0 | −1.01874 | −0.509371 | − | 0.860547i | \(-0.670122\pi\) | ||||
−0.509371 | + | 0.860547i | \(0.670122\pi\) | |||||||
\(600\) | −4980.41 | − | 10905.6i | −0.338874 | − | 0.742030i | ||||
\(601\) | −12092.7 | + | 3550.73i | −0.820750 | + | 0.240994i | −0.665039 | − | 0.746809i | \(-0.731585\pi\) |
−0.155711 | + | 0.987803i | \(0.549767\pi\) | |||||||
\(602\) | −1238.97 | + | 1429.85i | −0.0838818 | + | 0.0968048i | ||||
\(603\) | −5283.42 | − | 3395.45i | −0.356812 | − | 0.229309i | ||||
\(604\) | 4523.02 | + | 5219.85i | 0.304701 | + | 0.351643i | ||||
\(605\) | −2390.98 | − | 16629.6i | −0.160673 | − | 1.11750i | ||||
\(606\) | 1763.55 | + | 517.824i | 0.118217 | + | 0.0347115i | ||||
\(607\) | −2311.64 | + | 1485.60i | −0.154574 | + | 0.0993387i | −0.615641 | − | 0.788026i | \(-0.711103\pi\) |
0.461067 | + | 0.887365i | \(0.347467\pi\) | |||||||
\(608\) | −1303.69 | + | 9067.34i | −0.0869597 | + | 0.604818i | ||||
\(609\) | −1799.90 | + | 3941.23i | −0.119763 | + | 0.262244i | ||||
\(610\) | 3983.41 | − | 8722.45i | 0.264399 | − | 0.578953i | ||||
\(611\) | 142.708 | − | 992.557i | 0.00944902 | − | 0.0657194i | ||||
\(612\) | 475.430 | − | 305.541i | 0.0314022 | − | 0.0201810i | ||||
\(613\) | −10029.0 | − | 2944.79i | −0.660797 | − | 0.194027i | −0.0658958 | − | 0.997827i | \(-0.520990\pi\) |
−0.594901 | + | 0.803799i | \(0.702809\pi\) | |||||||
\(614\) | −199.935 | − | 1390.58i | −0.0131412 | − | 0.0913993i | ||||
\(615\) | 12022.9 | + | 13875.1i | 0.788306 | + | 0.909754i | ||||
\(616\) | −2106.17 | − | 1353.55i | −0.137760 | − | 0.0885329i | ||||
\(617\) | 12227.3 | − | 14111.1i | 0.797817 | − | 0.920730i | −0.200443 | − | 0.979705i | \(-0.564238\pi\) |
0.998259 | + | 0.0589758i | \(0.0187835\pi\) | |||||||
\(618\) | 5270.12 | − | 1547.45i | 0.343035 | − | 0.100724i | ||||
\(619\) | −12293.2 | − | 26918.3i | −0.798231 | − | 1.74788i | −0.651420 | − | 0.758717i | \(-0.725826\pi\) |
−0.146811 | − | 0.989165i | \(-0.546901\pi\) | |||||||
\(620\) | −41198.5 | −2.66867 | ||||||||
\(621\) | −228.174 | − | 2969.46i | −0.0147445 | − | 0.191884i | ||||
\(622\) | −6446.59 | −0.415570 | ||||||||
\(623\) | 1815.96 | + | 3976.40i | 0.116782 | + | 0.255716i | ||||
\(624\) | −685.288 | + | 201.219i | −0.0439639 | + | 0.0129090i | ||||
\(625\) | −7972.67 | + | 9200.95i | −0.510251 | + | 0.588861i | ||||
\(626\) | 8231.74 | + | 5290.22i | 0.525569 | + | 0.337763i | ||||
\(627\) | −2219.13 | − | 2561.01i | −0.141345 | − | 0.163121i | ||||
\(628\) | −87.1034 | − | 605.818i | −0.00553472 | − | 0.0384948i | ||||
\(629\) | −976.216 | − | 286.643i | −0.0618828 | − | 0.0181704i | ||||
\(630\) | −1157.11 | + | 743.628i | −0.0731750 | + | 0.0470267i | ||||
\(631\) | −2008.32 | + | 13968.2i | −0.126704 | + | 0.881242i | 0.822989 | + | 0.568058i | \(0.192305\pi\) |
−0.949692 | + | 0.313185i | \(0.898604\pi\) | |||||||
\(632\) | 2692.26 | − | 5895.23i | 0.169450 | − | 0.371043i | ||||
\(633\) | 3926.54 | − | 8597.92i | 0.246550 | − | 0.539868i | ||||
\(634\) | −181.866 | + | 1264.90i | −0.0113924 | + | 0.0792361i | ||||
\(635\) | −2591.32 | + | 1665.34i | −0.161942 | + | 0.104074i | ||||
\(636\) | 10228.1 | + | 3003.25i | 0.637692 | + | 0.187243i | ||||
\(637\) | −282.758 | − | 1966.62i | −0.0175876 | − | 0.122324i | ||||
\(638\) | −3201.71 | − | 3694.97i | −0.198679 | − | 0.229288i | ||||
\(639\) | 4611.03 | + | 2963.33i | 0.285461 | + | 0.183454i | ||||
\(640\) | 18492.1 | − | 21341.0i | 1.14213 | − | 1.31809i | ||||
\(641\) | −14000.0 | + | 4110.76i | −0.862661 | + | 0.253300i | −0.682991 | − | 0.730427i | \(-0.739321\pi\) |
−0.179670 | + | 0.983727i | \(0.557503\pi\) | |||||||
\(642\) | −1787.36 | − | 3913.78i | −0.109878 | − | 0.240599i | ||||
\(643\) | −19439.1 | −1.19223 | −0.596114 | − | 0.802900i | \(-0.703289\pi\) | ||||
−0.596114 | + | 0.802900i | \(0.703289\pi\) | |||||||
\(644\) | 5132.53 | − | 1144.98i | 0.314053 | − | 0.0700599i | ||||
\(645\) | 13576.6 | 0.828803 | ||||||||
\(646\) | −232.295 | − | 508.656i | −0.0141479 | − | 0.0309796i | ||||
\(647\) | −3520.25 | + | 1033.64i | −0.213903 | + | 0.0628075i | −0.386928 | − | 0.922110i | \(-0.626464\pi\) |
0.173025 | + | 0.984917i | \(0.444646\pi\) | |||||||
\(648\) | −881.190 | + | 1016.95i | −0.0534204 | + | 0.0616504i | ||||
\(649\) | −9013.40 | − | 5792.56i | −0.545157 | − | 0.350351i | ||||
\(650\) | −1205.85 | − | 1391.63i | −0.0727653 | − | 0.0839757i | ||||
\(651\) | 969.017 | + | 6739.66i | 0.0583391 | + | 0.405757i | ||||
\(652\) | 18574.8 | + | 5454.06i | 1.11572 | + | 0.327604i | ||||
\(653\) | 3677.97 | − | 2363.69i | 0.220414 | − | 0.141651i | −0.425775 | − | 0.904829i | \(-0.639998\pi\) |
0.646188 | + | 0.763178i | \(0.276362\pi\) | |||||||
\(654\) | −682.839 | + | 4749.25i | −0.0408274 | + | 0.283961i | ||||
\(655\) | −13637.0 | + | 29860.9i | −0.813500 | + | 1.78132i | ||||
\(656\) | −4664.78 | + | 10214.5i | −0.277636 | + | 0.607938i | ||||
\(657\) | 1364.37 | − | 9489.42i | 0.0810187 | − | 0.563497i | ||||
\(658\) | 993.647 | − | 638.578i | 0.0588699 | − | 0.0378334i | ||||
\(659\) | −17177.1 | − | 5043.65i | −1.01536 | − | 0.298137i | −0.268617 | − | 0.963247i | \(-0.586567\pi\) |
−0.746746 | + | 0.665110i | \(0.768385\pi\) | |||||||
\(660\) | 1167.95 | + | 8123.27i | 0.0688824 | + | 0.479088i | ||||
\(661\) | 17543.8 | + | 20246.6i | 1.03233 | + | 1.19138i | 0.981261 | + | 0.192682i | \(0.0617187\pi\) |
0.0510730 | + | 0.998695i | \(0.483736\pi\) | |||||||
\(662\) | 932.784 | + | 599.464i | 0.0547639 | + | 0.0351946i | ||||
\(663\) | 124.435 | − | 143.605i | 0.00728905 | − | 0.00841202i | ||||
\(664\) | 11777.3 | − | 3458.13i | 0.688325 | − | 0.202110i | ||||
\(665\) | −2989.42 | − | 6545.92i | −0.174323 | − | 0.381714i | ||||
\(666\) | 1106.61 | 0.0643848 | ||||||||
\(667\) | 22431.8 | + | 1485.13i | 1.30219 | + | 0.0862138i | ||||
\(668\) | 13668.3 | 0.791682 | ||||||||
\(669\) | 2302.89 | + | 5042.62i | 0.133086 | + | 0.291419i | ||||
\(670\) | 14440.1 | − | 4239.99i | 0.832640 | − | 0.244485i | ||||
\(671\) | −6192.25 | + | 7146.24i | −0.356258 | + | 0.411144i | ||||
\(672\) | −3084.54 | − | 1982.32i | −0.177067 | − | 0.113794i | ||||
\(673\) | 9324.59 | + | 10761.2i | 0.534081 | + | 0.616362i | 0.957100 | − | 0.289759i | \(-0.0935750\pi\) |
−0.423019 | + | 0.906121i | \(0.639030\pi\) | |||||||
\(674\) | 172.650 | + | 1200.81i | 0.00986683 | + | 0.0686253i | ||||
\(675\) | 6232.06 | + | 1829.90i | 0.355366 | + | 0.104345i | ||||
\(676\) | 12173.7 | − | 7823.53i | 0.692629 | − | 0.445126i | ||||
\(677\) | −3566.37 | + | 24804.7i | −0.202462 | + | 1.40815i | 0.594486 | + | 0.804106i | \(0.297356\pi\) |
−0.796948 | + | 0.604048i | \(0.793554\pi\) | |||||||
\(678\) | 2165.68 | − | 4742.19i | 0.122673 | − | 0.268617i | ||||
\(679\) | 2944.60 | − | 6447.77i | 0.166426 | − | 0.364422i | ||||
\(680\) | −421.910 | + | 2934.45i | −0.0237934 | + | 0.165487i | ||||
\(681\) | −7923.05 | + | 5091.84i | −0.445833 | + | 0.286519i | ||||
\(682\) | −7372.09 | − | 2164.64i | −0.413918 | − | 0.121537i | ||||
\(683\) | −2059.91 | − | 14327.0i | −0.115403 | − | 0.802645i | −0.962515 | − | 0.271230i | \(-0.912570\pi\) |
0.847112 | − | 0.531415i | \(-0.178339\pi\) | |||||||
\(684\) | −2106.00 | − | 2430.45i | −0.117726 | − | 0.135863i | ||||
\(685\) | −23540.9 | − | 15128.8i | −1.31307 | − | 0.843856i | ||||
\(686\) | 3327.99 | − | 3840.71i | 0.185224 | − | 0.213759i | ||||
\(687\) | 6019.44 | − | 1767.47i | 0.334288 | − | 0.0981558i | ||||
\(688\) | 3449.56 | + | 7553.48i | 0.191153 | + | 0.418567i | ||||
\(689\) | 3584.16 | 0.198179 | ||||||||
\(690\) | 5735.74 | + | 4246.56i | 0.316458 | + | 0.234295i | ||||
\(691\) | −29335.5 | −1.61501 | −0.807506 | − | 0.589859i | \(-0.799183\pi\) | ||||
−0.807506 | + | 0.589859i | \(0.799183\pi\) | |||||||
\(692\) | 7608.41 | + | 16660.1i | 0.417960 | + | 0.915205i | ||||
\(693\) | 1301.41 | − | 382.130i | 0.0713371 | − | 0.0209465i | ||||
\(694\) | 3060.13 | − | 3531.58i | 0.167379 | − | 0.193166i | ||||
\(695\) | 45746.4 | + | 29399.4i | 2.49678 | + | 1.60458i | ||||
\(696\) | −6651.64 | − | 7676.40i | −0.362255 | − | 0.418065i | ||||
\(697\) | −425.168 | − | 2957.11i | −0.0231053 | − | 0.160701i | ||||
\(698\) | −4093.85 | − | 1202.06i | −0.221998 | − | 0.0651844i | ||||
\(699\) | −1524.04 | + | 979.440i | −0.0824670 | + | 0.0529983i | ||||
\(700\) | −1632.16 | + | 11351.9i | −0.0881282 | + | 0.612945i | ||||
\(701\) | 10853.4 | − | 23765.7i | 0.584776 | − | 1.28048i | −0.353772 | − | 0.935332i | \(-0.615101\pi\) |
0.938548 | − | 0.345149i | \(-0.112172\pi\) | |||||||
\(702\) | −85.8550 | + | 187.996i | −0.00461594 | + | 0.0101075i | ||||
\(703\) | −823.954 | + | 5730.73i | −0.0442049 | + | 0.307452i | ||||
\(704\) | −1540.69 | + | 990.139i | −0.0824813 | + | 0.0530075i | ||||
\(705\) | −8132.50 | − | 2387.92i | −0.434451 | − | 0.127566i | ||||
\(706\) | 1254.82 | + | 8727.46i | 0.0668920 | + | 0.465244i | ||||
\(707\) | −2520.54 | − | 2908.86i | −0.134080 | − | 0.154737i | ||||
\(708\) | −8553.92 | − | 5497.27i | −0.454062 | − | 0.291808i | ||||
\(709\) | 4151.88 | − | 4791.53i | 0.219925 | − | 0.253808i | −0.635056 | − | 0.772466i | \(-0.719023\pi\) |
0.854981 | + | 0.518659i | \(0.173568\pi\) | |||||||
\(710\) | −12602.4 | + | 3700.39i | −0.666139 | + | 0.195596i | ||||
\(711\) | 1458.56 | + | 3193.80i | 0.0769342 | + | 0.168462i | ||||
\(712\) | −10248.0 | −0.539409 | ||||||||
\(713\) | 30917.4 | − | 17095.1i | 1.62393 | − | 0.897919i | ||||
\(714\) | 223.820 | 0.0117315 | ||||||||
\(715\) | 1146.28 | + | 2509.99i | 0.0599556 | + | 0.131284i | ||||
\(716\) | 9425.56 | − | 2767.59i | 0.491969 | − | 0.144455i | ||||
\(717\) | −13153.2 | + | 15179.5i | −0.685095 | + | 0.790642i | ||||
\(718\) | −4651.05 | − | 2989.05i | −0.241749 | − | 0.155363i | ||||
\(719\) | −5761.49 | − | 6649.12i | −0.298842 | − | 0.344882i | 0.586392 | − | 0.810027i | \(-0.300548\pi\) |
−0.885235 | + | 0.465145i | \(0.846002\pi\) | |||||||
\(720\) | 859.142 | + | 5975.47i | 0.0444699 | + | 0.309295i | ||||
\(721\) | −11036.2 | − | 3240.52i | −0.570055 | − | 0.167383i | ||||
\(722\) | 3831.72 | − | 2462.50i | 0.197509 | − | 0.126932i | ||||
\(723\) | 2384.71 | − | 16586.0i | 0.122667 | − | 0.853167i | ||||
\(724\) | 10056.8 | − | 22021.4i | 0.516243 | − | 1.13041i | ||||
\(725\) | −20367.2 | + | 44597.9i | −1.04333 | + | 2.28458i | ||||
\(726\) | 423.174 | − | 2943.24i | 0.0216328 | − | 0.150460i | ||||
\(727\) | 4632.56 | − | 2977.17i | 0.236330 | − | 0.151880i | −0.417116 | − | 0.908853i | \(-0.636959\pi\) |
0.653446 | + | 0.756973i | \(0.273323\pi\) | |||||||
\(728\) | −766.509 | − | 225.067i | −0.0390230 | − | 0.0114582i | ||||
\(729\) | −103.748 | − | 721.580i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 15044.3 | + | 17362.0i | 0.762759 | + | 0.880271i | ||||
\(731\) | −1858.53 | − | 1194.41i | −0.0940359 | − | 0.0604332i | ||||
\(732\) | −5876.58 | + | 6781.93i | −0.296728 | + | 0.342442i | ||||
\(733\) | 27253.9 | − | 8002.47i | 1.37332 | − | 0.403244i | 0.489884 | − | 0.871788i | \(-0.337039\pi\) |
0.883440 | + | 0.468543i | \(0.155221\pi\) | |||||||
\(734\) | 1528.34 | + | 3346.60i | 0.0768557 | + | 0.168290i | ||||
\(735\) | −16793.8 | −0.842786 | ||||||||
\(736\) | −3945.55 | + | 18610.8i | −0.197602 | + | 0.932071i | ||||
\(737\) | −14840.7 | −0.741743 | ||||||||
\(738\) | 1349.85 | + | 2955.75i | 0.0673286 | + | 0.147429i | ||||
\(739\) | 18298.7 | − | 5373.00i | 0.910867 | − | 0.267455i | 0.207461 | − | 0.978243i | \(-0.433480\pi\) |
0.703406 | + | 0.710789i | \(0.251662\pi\) | |||||||
\(740\) | 9182.13 | − | 10596.7i | 0.456137 | − | 0.526411i | ||||
\(741\) | −909.638 | − | 584.589i | −0.0450963 | − | 0.0289816i | ||||
\(742\) | 2764.67 | + | 3190.59i | 0.136784 | + | 0.157858i | ||||
\(743\) | 1739.42 | + | 12097.9i | 0.0858857 | + | 0.597348i | 0.986627 | + | 0.162993i | \(0.0521147\pi\) |
−0.900742 | + | 0.434355i | \(0.856976\pi\) | |||||||
\(744\) | −15315.7 | − | 4497.09i | −0.754705 | − | 0.221601i | ||||
\(745\) | −18032.2 | + | 11588.6i | −0.886775 | + | 0.569895i | ||||
\(746\) | 1695.99 | − | 11795.9i | 0.0832368 | − | 0.578924i | ||||
\(747\) | −2762.44 | + | 6048.90i | −0.135304 | + | 0.296275i | ||||
\(748\) | 554.764 | − | 1214.76i | 0.0271179 | − | 0.0593799i | ||||
\(749\) | −1282.27 | + | 8918.40i | −0.0625543 | + | 0.435075i | ||||
\(750\) | −6289.89 | + | 4042.27i | −0.306232 | + | 0.196804i | ||||
\(751\) | −3119.34 | − | 915.921i | −0.151566 | − | 0.0445039i | 0.205069 | − | 0.978747i | \(-0.434258\pi\) |
−0.356636 | + | 0.934244i | \(0.616076\pi\) | |||||||
\(752\) | −737.774 | − | 5131.33i | −0.0357764 | − | 0.248830i | ||||
\(753\) | 10805.0 | + | 12469.6i | 0.522915 | + | 0.603477i | ||||
\(754\) | −1312.41 | − | 843.434i | −0.0633887 | − | 0.0407375i | ||||
\(755\) | 12854.2 | − | 14834.5i | 0.619619 | − | 0.715078i | ||||
\(756\) | 1235.07 | − | 362.649i | 0.0594167 | − | 0.0174463i | ||||
\(757\) | −8971.14 | − | 19644.1i | −0.430729 | − | 0.943164i | −0.993208 | − | 0.116353i | \(-0.962880\pi\) |
0.562479 | − | 0.826811i | \(-0.309848\pi\) | |||||||
\(758\) | 2411.54 | 0.115555 | ||||||||
\(759\) | −4247.19 | − | 5611.47i | −0.203114 | − | 0.268358i | ||||
\(760\) | 16870.1 | 0.805189 | ||||||||
\(761\) | 2349.50 | + | 5144.70i | 0.111918 | + | 0.245066i | 0.957300 | − | 0.289096i | \(-0.0933546\pi\) |
−0.845382 | + | 0.534162i | \(0.820627\pi\) | |||||||
\(762\) | −523.094 | + | 153.594i | −0.0248683 | + | 0.00730201i | ||||
\(763\) | 6579.85 | − | 7593.55i | 0.312197 | − | 0.360295i | ||||
\(764\) | −735.513 | − | 472.685i | −0.0348297 | − | 0.0223837i | ||||
\(765\) | −1051.78 | − | 1213.82i | −0.0497088 | − | 0.0573670i | ||||
\(766\) | 620.226 | + | 4313.76i | 0.0292554 | + | 0.203476i | ||||
\(767\) | −3280.29 | − | 963.180i | −0.154426 | − | 0.0453434i | ||||
\(768\) | 2465.76 | − | 1584.65i | 0.115853 | − | 0.0744544i | ||||
\(769\) | −1467.71 | + | 10208.2i | −0.0688258 | + | 0.478694i | 0.926035 | + | 0.377439i | \(0.123195\pi\) |
−0.994860 | + | 0.101256i | \(0.967714\pi\) | |||||||
\(770\) | −1350.19 | + | 2956.51i | −0.0631916 | + | 0.138370i | ||||
\(771\) | 5932.69 | − | 12990.8i | 0.277121 | − | 0.606811i | ||||
\(772\) | −4913.02 | + | 34170.8i | −0.229046 | + | 1.59305i | ||||
\(773\) | 28323.3 | − | 18202.3i | 1.31788 | − | 0.846947i | 0.322839 | − | 0.946454i | \(-0.395363\pi\) |
0.995037 | + | 0.0995068i | \(0.0317265\pi\) | |||||||
\(774\) | 2305.56 | + | 676.972i | 0.107069 | + | 0.0314383i | ||||
\(775\) | 10965.1 | + | 76264.1i | 0.508231 | + | 3.53482i | ||||
\(776\) | 10881.9 | + | 12558.4i | 0.503401 | + | 0.580955i | ||||
\(777\) | −1949.49 | − | 1252.86i | −0.0900097 | − | 0.0578457i | ||||
\(778\) | −3961.82 | + | 4572.19i | −0.182568 | + | 0.210695i | ||||
\(779\) | −16311.8 | + | 4789.57i | −0.750232 | + | 0.220288i | ||||
\(780\) | 1087.84 | + | 2382.04i | 0.0499371 | + | 0.109347i | ||||
\(781\) | 12952.0 | 0.593418 | ||||||||
\(782\) | −411.586 | − | 1085.93i | −0.0188213 | − | 0.0496581i | ||||
\(783\) | 5502.83 | 0.251156 | ||||||||
\(784\) | −4266.99 | − | 9343.40i | −0.194378 | − | 0.425629i | ||||
\(785\) | −1668.95 | + | 490.048i | −0.0758820 | + | 0.0222810i | ||||
\(786\) | −3804.78 | + | 4390.95i | −0.172662 | + | 0.199262i | ||||
\(787\) | −17732.7 | − | 11396.1i | −0.803179 | − | 0.516172i | 0.0734730 | − | 0.997297i | \(-0.476592\pi\) |
−0.876652 | + | 0.481126i | \(0.840228\pi\) | |||||||
\(788\) | −4163.85 | − | 4805.34i | −0.188237 | − | 0.217237i | ||||
\(789\) | −1509.14 | − | 10496.3i | −0.0680947 | − | 0.473609i | ||||
\(790\) | −8072.78 | − | 2370.38i | −0.363565 | − | 0.106752i | ||||
\(791\) | −9184.14 | + | 5902.29i | −0.412833 | + | 0.265311i | ||||
\(792\) | −452.520 | + | 3147.34i | −0.0203025 | + | 0.141207i | ||||
\(793\) | −1253.40 | + | 2744.57i | −0.0561281 | + | 0.122903i | ||||
\(794\) | −3834.09 | + | 8395.49i | −0.171369 | + | 0.375245i | ||||
\(795\) | 4311.43 | − | 29986.6i | 0.192340 | − | 1.33776i | ||||
\(796\) | 10025.1 | − | 6442.74i | 0.446394 | − | 0.286880i | ||||
\(797\) | −24525.5 | − | 7201.33i | −1.09001 | − | 0.320056i | −0.313133 | − | 0.949709i | \(-0.601379\pi\) |
−0.776876 | + | 0.629654i | \(0.783197\pi\) | |||||||
\(798\) | −181.258 | − | 1260.68i | −0.00804070 | − | 0.0559243i | ||||
\(799\) | 903.199 | + | 1042.35i | 0.0399911 | + | 0.0461522i | ||||
\(800\) | −34903.9 | − | 22431.3i | −1.54255 | − | 0.991335i | ||||
\(801\) | 3635.75 | − | 4195.88i | 0.160378 | − | 0.185086i | ||||
\(802\) | −1755.24 | + | 515.385i | −0.0772814 | + | 0.0226919i | ||||
\(803\) | −9410.91 | − | 20607.0i | −0.413579 | − | 0.905611i | ||||
\(804\) | −14084.1 | −0.617798 | ||||||||
\(805\) | −5296.72 | − | 13974.8i | −0.231907 | − | 0.611861i | ||||
\(806\) | −2451.64 | −0.107141 | ||||||||
\(807\) | −3597.85 | − | 7878.20i | −0.156940 | − | 0.343650i | ||||
\(808\) | 8657.64 | − | 2542.11i | 0.376949 | − | 0.110682i | ||||
\(809\) | −12466.8 | + | 14387.5i | −0.541792 | + | 0.625261i | −0.958951 | − | 0.283572i | \(-0.908480\pi\) |
0.417159 | + | 0.908834i | \(0.363026\pi\) | |||||||
\(810\) | 1469.58 | + | 944.444i | 0.0637480 | + | 0.0409684i | ||||
\(811\) | −14829.5 | − | 17114.1i | −0.642088 | − | 0.741009i | 0.337655 | − | 0.941270i | \(-0.390366\pi\) |
−0.979743 | + | 0.200261i | \(0.935821\pi\) | |||||||
\(812\) | 1382.80 | + | 9617.57i | 0.0597620 | + | 0.415653i | ||||
\(813\) | −10584.6 | − | 3107.92i | −0.456602 | − | 0.134071i | ||||
\(814\) | 2199.83 | − | 1413.74i | 0.0947222 | − | 0.0608742i | ||||
\(815\) | 7829.78 | − | 54457.3i | 0.336522 | − | 2.34056i | ||||
\(816\) | 408.084 | − | 893.579i | 0.0175071 | − | 0.0383352i | ||||
\(817\) | −5222.45 | + | 11435.6i | −0.223636 | + | 0.489694i | ||||
\(818\) | 1426.35 | − | 9920.50i | 0.0609673 | − | 0.424037i | ||||
\(819\) | 364.090 | − | 233.987i | 0.0155340 | − | 0.00998310i | ||||
\(820\) | 39504.2 | + | 11599.5i | 1.68237 | + | 0.493989i | ||||
\(821\) | −877.611 | − | 6103.92i | −0.0373067 | − | 0.259474i | 0.962629 | − | 0.270824i | \(-0.0872962\pi\) |
−0.999936 | + | 0.0113500i | \(0.996387\pi\) | |||||||
\(822\) | −3243.30 | − | 3742.97i | −0.137619 | − | 0.158821i | ||||
\(823\) | 8758.36 | + | 5628.65i | 0.370956 | + | 0.238399i | 0.712815 | − | 0.701352i | \(-0.247420\pi\) |
−0.341858 | + | 0.939751i | \(0.611056\pi\) | |||||||
\(824\) | 17658.0 | − | 20378.4i | 0.746534 | − | 0.861546i | ||||
\(825\) | 14726.4 | − | 4324.07i | 0.621465 | − | 0.182479i | ||||
\(826\) | −1672.86 | − | 3663.05i | −0.0704676 | − | 0.154302i | ||||
\(827\) | −40979.0 | −1.72307 | −0.861535 | − | 0.507698i | \(-0.830496\pi\) | ||||
−0.861535 | + | 0.507698i | \(0.830496\pi\) | |||||||
\(828\) | −4030.68 | − | 5325.40i | −0.169174 | − | 0.223515i | ||||
\(829\) | −6061.25 | −0.253940 | −0.126970 | − | 0.991907i | \(-0.540525\pi\) | ||||
−0.126970 | + | 0.991907i | \(0.540525\pi\) | |||||||
\(830\) | −6619.61 | − | 14494.9i | −0.276831 | − | 0.606176i | ||||
\(831\) | 3823.24 | − | 1122.61i | 0.159599 | − | 0.0468625i | ||||
\(832\) | −382.688 | + | 441.646i | −0.0159463 | + | 0.0184030i | ||||
\(833\) | 2298.94 | + | 1477.44i | 0.0956225 | + | 0.0614528i | ||||
\(834\) | 6302.63 | + | 7273.63i | 0.261681 | + | 0.301997i | ||||
\(835\) | −5528.17 | − | 38449.3i | −0.229114 | − | 1.59352i | ||||
\(836\) | −7291.51 | − | 2140.98i | −0.301653 | − | 0.0885734i | ||||
\(837\) | 7274.92 | − | 4675.31i | 0.300428 | − | 0.193073i | ||||
\(838\) | 323.720 | − | 2251.52i | 0.0133445 | − | 0.0928133i | ||||
\(839\) | −4574.22 | + | 10016.1i | −0.188223 | + | 0.412152i | −0.980093 | − | 0.198538i | \(-0.936381\pi\) |
0.791870 | + | 0.610690i | \(0.209108\pi\) | |||||||
\(840\) | −2805.06 | + | 6142.21i | −0.115219 | + | 0.252293i | ||||
\(841\) | −2440.55 | + | 16974.4i | −0.100068 | + | 0.695987i | ||||
\(842\) | 6085.54 | − | 3910.94i | 0.249076 | − | 0.160071i | ||||
\(843\) | −1436.54 | − | 421.806i | −0.0586917 | − | 0.0172334i | ||||
\(844\) | −3016.62 | − | 20981.1i | −0.123029 | − | 0.855684i | ||||
\(845\) | −26931.4 | − | 31080.5i | −1.09641 | − | 1.26533i | ||||
\(846\) | −1261.98 | − | 811.025i | −0.0512858 | − | 0.0329594i | ||||
\(847\) | −4077.71 | + | 4705.93i | −0.165421 | + | 0.190906i | ||||
\(848\) | 17778.8 | − | 5220.34i | 0.719962 | − | 0.211400i | ||||
\(849\) | 4072.84 | + | 8918.27i | 0.164640 | + | 0.360512i | ||||
\(850\) | 2532.69 | 0.102201 | ||||||||
\(851\) | −2493.66 | + | 11762.4i | −0.100448 | + | 0.473807i | ||||
\(852\) | 12291.7 | 0.494258 | ||||||||
\(853\) | 5398.37 | + | 11820.8i | 0.216690 | + | 0.474485i | 0.986494 | − | 0.163795i | \(-0.0523735\pi\) |
−0.769804 | + | 0.638280i | \(0.779646\pi\) | |||||||
\(854\) | −3410.02 | + | 1001.27i | −0.136637 | + | 0.0401204i | ||||
\(855\) | −5985.14 | + | 6907.22i | −0.239401 | + | 0.276283i | ||||
\(856\) | −17769.3 | − | 11419.6i | −0.709512 | − | 0.455976i | ||||
\(857\) | −324.675 | − | 374.695i | −0.0129413 | − | 0.0149351i | 0.749242 | − | 0.662296i | \(-0.230418\pi\) |
−0.762183 | + | 0.647361i | \(0.775873\pi\) | |||||||
\(858\) | 69.5024 | + | 483.400i | 0.00276547 | + | 0.0192343i | ||||
\(859\) | 23758.1 | + | 6976.02i | 0.943675 | + | 0.277088i | 0.717151 | − | 0.696918i | \(-0.245446\pi\) |
0.226524 | + | 0.974006i | \(0.427264\pi\) | |||||||
\(860\) | 25613.0 | − | 16460.5i | 1.01558 | − | 0.652671i | ||||
\(861\) | 968.391 | − | 6735.31i | 0.0383306 | − | 0.266595i | ||||
\(862\) | −8204.87 | + | 17966.2i | −0.324198 | + | 0.709896i | ||||
\(863\) | −8101.45 | + | 17739.7i | −0.319556 | + | 0.699730i | −0.999436 | − | 0.0335940i | \(-0.989305\pi\) |
0.679880 | + | 0.733324i | \(0.262032\pi\) | |||||||
\(864\) | −662.727 | + | 4609.37i | −0.0260954 | + | 0.181497i | ||||
\(865\) | 43788.0 | − | 28140.8i | 1.72120 | − | 1.10615i | ||||
\(866\) | 10514.4 | + | 3087.31i | 0.412580 | + | 0.121144i | ||||
\(867\) | −2060.38 | − | 14330.3i | −0.0807085 | − | 0.561340i | ||||
\(868\) | 9999.37 | + | 11539.9i | 0.391015 | + | 0.451255i | ||||
\(869\) | 6979.67 | + | 4485.56i | 0.272462 | + | 0.175100i | ||||
\(870\) | −8635.25 | + | 9965.61i | −0.336509 | + | 0.388352i | ||||
\(871\) | −4543.65 | + | 1334.14i | −0.176757 | + | 0.0519007i | ||||
\(872\) | 9785.04 | + | 21426.2i | 0.380004 | + | 0.832092i | ||||
\(873\) | −9002.52 | −0.349014 | ||||||||
\(874\) | −5783.22 | + | 3197.71i | −0.223822 | + | 0.123757i | ||||
\(875\) | 15657.2 | 0.604927 | ||||||||
\(876\) | −8931.16 | − | 19556.5i | −0.344470 | − | 0.754284i | ||||
\(877\) | −14101.2 | + | 4140.48i | −0.542946 | + | 0.159423i | −0.541694 | − | 0.840576i | \(-0.682217\pi\) |
−0.00125205 | + | 0.999999i | \(0.500399\pi\) | |||||||
\(878\) | −64.6055 | + | 74.5587i | −0.00248329 | + | 0.00286587i | ||||
\(879\) | 8632.33 | + | 5547.66i | 0.331241 | + | 0.212876i | ||||
\(880\) | 9341.79 | + | 10781.0i | 0.357854 | + | 0.412986i | ||||
\(881\) | 2396.64 | + | 16669.0i | 0.0916512 | + | 0.637448i | 0.982928 | + | 0.183989i | \(0.0589011\pi\) |
−0.891277 | + | 0.453459i | \(0.850190\pi\) | |||||||
\(882\) | −2851.89 | − | 837.391i | −0.108876 | − | 0.0319688i | ||||
\(883\) | −2146.31 | + | 1379.35i | −0.0817998 | + | 0.0525695i | −0.580901 | − | 0.813974i | \(-0.697300\pi\) |
0.499102 | + | 0.866543i | \(0.333663\pi\) | |||||||
\(884\) | 60.6437 | − | 421.786i | 0.00230732 | − | 0.0160477i | ||||
\(885\) | −12004.3 | + | 26285.7i | −0.455955 | + | 0.998401i | ||||
\(886\) | −2736.65 | + | 5992.43i | −0.103769 | + | 0.227223i | ||||
\(887\) | −2981.63 | + | 20737.7i | −0.112867 | + | 0.785010i | 0.852239 | + | 0.523152i | \(0.175244\pi\) |
−0.965107 | + | 0.261857i | \(0.915665\pi\) | |||||||
\(888\) | 4570.19 | − | 2937.08i | 0.172709 | − | 0.110993i | ||||
\(889\) | 1095.41 | + | 321.643i | 0.0413262 | + | 0.0121345i | ||||
\(890\) | 1893.37 | + | 13168.7i | 0.0713099 | + | 0.495971i | ||||
\(891\) | −1128.09 | − | 1301.88i | −0.0424157 | − | 0.0489503i | ||||
\(892\) | 10458.3 | + | 6721.13i | 0.392566 | + | 0.252287i | ||||
\(893\) | 5139.64 | − | 5931.46i | 0.192600 | − | 0.222272i | ||||
\(894\) | −3640.04 | + | 1068.81i | −0.136176 | + | 0.0399848i | ||||
\(895\) | −11597.5 | − | 25394.9i | −0.433141 | − | 0.948446i | ||||
\(896\) | −10465.9 | −0.390226 | ||||||||
\(897\) | −1804.78 | − | 1336.20i | −0.0671794 | − | 0.0497375i | ||||
\(898\) | 17108.9 | 0.635781 | ||||||||
\(899\) | 27117.1 | + | 59378.1i | 1.00601 | + | 2.20286i | ||||
\(900\) | 13975.7 | − | 4103.64i | 0.517619 | − | 0.151987i | ||||
\(901\) | −3228.29 | + | 3725.64i | −0.119367 | + | 0.137757i | ||||
\(902\) | 6459.44 | + | 4151.23i | 0.238443 | + | 0.153238i | ||||
\(903\) | −3295.20 | − | 3802.86i | −0.121437 | − | 0.140145i | ||||
\(904\) | −3642.30 | − | 25332.7i | −0.134006 | − | 0.932029i | ||||
\(905\) | −66014.2 | − | 19383.5i | −2.42474 | − | 0.711967i | ||||
\(906\) | 2922.58 | − | 1878.23i | 0.107170 | − | 0.0688741i | ||||
\(907\) | 681.893 | − | 4742.67i | 0.0249635 | − | 0.173625i | −0.973525 | − | 0.228579i | \(-0.926592\pi\) |
0.998489 | + | 0.0549540i | \(0.0175012\pi\) | |||||||
\(908\) | −8773.85 | + | 19212.1i | −0.320672 | + | 0.702175i | ||||
\(909\) | −2030.70 | + | 4446.62i | −0.0740971 | + | 0.162250i | ||||
\(910\) | −147.595 | + | 1026.55i | −0.00537663 | + | 0.0373953i | ||||
\(911\) | −7611.58 | + | 4891.67i | −0.276820 | + | 0.177901i | −0.671683 | − | 0.740839i | \(-0.734428\pi\) |
0.394863 | + | 0.918740i | \(0.370792\pi\) | |||||||
\(912\) | −5363.62 | − | 1574.90i | −0.194745 | − | 0.0571822i | ||||
\(913\) | 2236.28 | + | 15553.7i | 0.0810627 | + | 0.563803i | ||||
\(914\) | −13107.5 | − | 15126.9i | −0.474353 | − | 0.547433i | ||||
\(915\) | 21454.5 | + | 13788.0i | 0.775153 | + | 0.498160i | ||||
\(916\) | 9213.10 | − | 10632.5i | 0.332325 | − | 0.383523i | ||||
\(917\) | 11674.0 | − | 3427.81i | 0.420404 | − | 0.123442i | ||||
\(918\) | −118.087 | − | 258.574i | −0.00424559 | − | 0.00929654i | ||||
\(919\) | −20094.9 | −0.721294 | −0.360647 | − | 0.932702i | \(-0.617444\pi\) | ||||
−0.360647 | + | 0.932702i | \(0.617444\pi\) | |||||||
\(920\) | 34958.9 | + | 2314.51i | 1.25278 | + | 0.0829425i | ||||
\(921\) | 3736.44 | 0.133681 | ||||||||
\(922\) | 7048.73 | + | 15434.6i | 0.251776 | + | 0.551312i | ||||
\(923\) | 3965.41 | − | 1164.35i | 0.141412 | − | 0.0415222i | ||||
\(924\) | 1991.89 | − | 2298.76i | 0.0709181 | − | 0.0818439i | ||||
\(925\) | −22059.9 | − | 14177.0i | −0.784134 | − | 0.503933i | ||||
\(926\) | 2267.00 | + | 2616.25i | 0.0804515 | + | 0.0928460i | ||||
\(927\) | 2078.97 | + | 14459.6i | 0.0736595 | + | 0.512313i | ||||
\(928\) | −33727.6 | − | 9903.31i | −1.19306 | − | 0.350315i | ||||
\(929\) | 26949.0 | − | 17319.1i | 0.951741 | − | 0.611647i | 0.0300404 | − | 0.999549i | \(-0.490436\pi\) |
0.921701 | + | 0.387902i | \(0.126800\pi\) | |||||||
\(930\) | −2949.11 | + | 20511.5i | −0.103984 | + | 0.723225i | ||||
\(931\) | 6459.99 | − | 14145.4i | 0.227409 | − | 0.497956i | ||||
\(932\) | −1687.69 | + | 3695.53i | −0.0593157 | + | 0.129883i | ||||
\(933\) | 2440.05 | − | 16970.9i | 0.0856203 | − | 0.595502i | ||||
\(934\) | −12319.5 | + | 7917.27i | −0.431592 | + | 0.277367i | ||||
\(935\) | −3641.54 | − | 1069.25i | −0.127370 | − | 0.0373992i | ||||
\(936\) | 144.393 | + | 1004.28i | 0.00504234 | + | 0.0350703i | ||||
\(937\) | −910.980 | − | 1051.33i | −0.0317614 | − | 0.0366546i | 0.739647 | − | 0.672995i | \(-0.234993\pi\) |
−0.771408 | + | 0.636341i | \(0.780447\pi\) | |||||||
\(938\) | −4692.42 | − | 3015.63i | −0.163340 | − | 0.104972i | ||||
\(939\) | −17042.5 | + | 19668.1i | −0.592290 | + | 0.683539i | ||||
\(940\) | −18237.6 | + | 5355.03i | −0.632812 | + | 0.185810i | ||||
\(941\) | 19624.0 | + | 42970.6i | 0.679834 | + | 1.48863i | 0.862818 | + | 0.505514i | \(0.168697\pi\) |
−0.182984 | + | 0.983116i | \(0.558576\pi\) | |||||||
\(942\) | −307.854 | −0.0106480 | ||||||||
\(943\) | −34459.0 | + | 7687.23i | −1.18997 | + | 0.265462i | ||||
\(944\) | −17674.4 | −0.609378 | ||||||||
\(945\) | −1519.67 | − | 3327.61i | −0.0523119 | − | 0.114547i | ||||
\(946\) | 5448.06 | − | 1599.70i | 0.187243 | − | 0.0549795i | ||||
\(947\) | −518.330 | + | 598.184i | −0.0177861 | + | 0.0205263i | −0.764573 | − | 0.644537i | \(-0.777050\pi\) |
0.746787 | + | 0.665063i | \(0.231596\pi\) | |||||||
\(948\) | 6623.86 | + | 4256.90i | 0.226933 | + | 0.145841i | ||||
\(949\) | −4733.77 | − | 5463.06i | −0.161923 | − | 0.186869i | ||||
\(950\) | −2051.07 | − | 14265.5i | −0.0700479 | − | 0.487194i | ||||
\(951\) | −3261.08 | − | 957.539i | −0.111196 | − | 0.0326502i | ||||
\(952\) | 924.354 | − | 594.046i | 0.0314690 | − | 0.0202239i | ||||
\(953\) | 6839.67 | − | 47570.9i | 0.232485 | − | 1.61697i | −0.454807 | − | 0.890590i | \(-0.650292\pi\) |
0.687292 | − | 0.726381i | \(-0.258799\pi\) | |||||||
\(954\) | 2227.39 | − | 4877.30i | 0.0755916 | − | 0.165523i | ||||
\(955\) | −1032.19 | + | 2260.19i | −0.0349749 | + | 0.0765844i | ||||
\(956\) | −6410.23 | + | 44584.1i | −0.216864 | + | 1.50832i | ||||
\(957\) | 10939.1 | − | 7030.10i | 0.369498 | − | 0.237462i | ||||
\(958\) | 3089.47 | + | 907.149i | 0.104192 | + | 0.0305936i | ||||
\(959\) | 1476.00 | + | 10265.8i | 0.0497004 | + | 0.345674i | ||||
\(960\) | 3234.66 | + | 3733.00i | 0.108748 | + | 0.125502i | ||||
\(961\) | 61236.5 | + | 39354.3i | 2.05554 | + | 1.32101i | ||||
\(962\) | 546.410 | − | 630.591i | 0.0183129 | − | 0.0211342i | ||||
\(963\) | 10979.7 | − | 3223.94i | 0.367411 | − | 0.107882i | ||||
\(964\) | −15610.2 | − | 34181.7i | −0.521548 | − | 1.14203i | ||||
\(965\) | 98110.3 | 3.27283 | ||||||||
\(966\) | −202.651 | − | 2637.30i | −0.00674967 | − | 0.0878402i | ||||
\(967\) | −7684.89 | −0.255563 | −0.127781 | − | 0.991802i | \(-0.540786\pi\) | ||||
−0.127781 | + | 0.991802i | \(0.540786\pi\) | |||||||
\(968\) | −6064.05 | − | 13278.4i | −0.201349 | − | 0.440893i | ||||
\(969\) | 1426.98 | − | 419.001i | 0.0473079 | − | 0.0138909i | ||||
\(970\) | 14127.1 | − | 16303.5i | 0.467622 | − | 0.539665i | ||||
\(971\) | −28803.8 | − | 18511.1i | −0.951965 | − | 0.611791i | −0.0302015 | − | 0.999544i | \(-0.509615\pi\) |
−0.921763 | + | 0.387753i | \(0.873251\pi\) | |||||||
\(972\) | −1070.58 | − | 1235.52i | −0.0353281 | − | 0.0407707i | ||||
\(973\) | −2868.28 | − | 19949.4i | −0.0945046 | − | 0.657294i | ||||
\(974\) | 15733.2 | + | 4619.69i | 0.517582 | + | 0.151976i | ||||
\(975\) | 4119.95 | − | 2647.73i | 0.135327 | − | 0.0869694i | ||||
\(976\) | −2219.90 | + | 15439.7i | −0.0728045 | + | 0.506366i | ||||
\(977\) | 4232.56 | − | 9268.02i | 0.138600 | − | 0.303491i | −0.827586 | − | 0.561339i | \(-0.810286\pi\) |
0.966185 | + | 0.257849i | \(0.0830136\pi\) | |||||||
\(978\) | 4045.06 | − | 8857.44i | 0.132256 | − | 0.289601i | ||||
\(979\) | 1867.08 | − | 12985.8i | 0.0609520 | − | 0.423930i | ||||
\(980\) | −31682.4 | + | 20361.0i | −1.03271 | + | 0.663683i | ||||
\(981\) | −12244.2 | − | 3595.21i | −0.398497 | − | 0.117009i | ||||
\(982\) | −732.269 | − | 5093.04i | −0.0237960 | − | 0.165505i | ||||
\(983\) | 33935.3 | + | 39163.5i | 1.10109 | + | 1.27072i | 0.959779 | + | 0.280757i | \(0.0905856\pi\) |
0.141309 | + | 0.989966i | \(0.454869\pi\) | |||||||
\(984\) | 13419.6 | + | 8624.28i | 0.434759 | + | 0.279403i | ||||
\(985\) | −11833.5 | + | 13656.5i | −0.382787 | + | 0.441760i | ||||
\(986\) | 2058.83 | − | 604.526i | 0.0664974 | − | 0.0195254i | ||||
\(987\) | 1304.99 | + | 2857.52i | 0.0420853 | + | 0.0921540i | ||||
\(988\) | −2424.85 | −0.0780816 | ||||||||
\(989\) | −12391.1 | + | 22980.7i | −0.398395 | + | 0.738872i | ||||
\(990\) | 4127.94 | 0.132520 | ||||||||
\(991\) | −9696.19 | − | 21231.7i | −0.310807 | − | 0.680572i | 0.688182 | − | 0.725539i | \(-0.258409\pi\) |
−0.998989 | + | 0.0449662i | \(0.985682\pi\) | |||||||
\(992\) | −53002.9 | + | 15563.1i | −1.69642 | + | 0.498113i | ||||
\(993\) | −1931.18 | + | 2228.70i | −0.0617161 | + | 0.0712242i | ||||
\(994\) | 4095.24 | + | 2631.85i | 0.130677 | + | 0.0839811i | ||||
\(995\) | −22178.2 | − | 25595.0i | −0.706630 | − | 0.815495i | ||||
\(996\) | 2122.28 | + | 14760.8i | 0.0675172 | + | 0.469592i | ||||
\(997\) | −911.587 | − | 267.666i | −0.0289571 | − | 0.00850258i | 0.267222 | − | 0.963635i | \(-0.413894\pi\) |
−0.296179 | + | 0.955132i | \(0.595713\pi\) | |||||||
\(998\) | 5782.02 | − | 3715.88i | 0.183393 | − | 0.117860i | ||||
\(999\) | −418.856 | + | 2913.20i | −0.0132653 | + | 0.0922620i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 69.4.e.b.4.3 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.b.73.4 | 60 | |||
23.6 | even | 11 | inner | 69.4.e.b.52.3 | yes | 60 | |
23.11 | odd | 22 | 1587.4.a.v.1.13 | 30 | |||
23.12 | even | 11 | 1587.4.a.w.1.13 | 30 | |||
69.29 | odd | 22 | 207.4.i.b.190.4 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.b.4.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.b.52.3 | yes | 60 | 23.6 | even | 11 | inner | |
207.4.i.b.73.4 | 60 | 3.2 | odd | 2 | |||
207.4.i.b.190.4 | 60 | 69.29 | odd | 22 | |||
1587.4.a.v.1.13 | 30 | 23.11 | odd | 22 | |||
1587.4.a.w.1.13 | 30 | 23.12 | even | 11 |