Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,4,Mod(4,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
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("9.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.c (of order \(3\), degree \(2\), 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: | \(0.531017190052\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - x^{3} - 2x^{2} - 3x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(1.68614 - 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9.7 |
Dual form | 9.4.c.a.4.1 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.18614 | + | 3.78651i | −0.772917 | + | 1.33873i | 0.163040 | + | 0.986619i | \(0.447870\pi\) |
−0.935958 | + | 0.352113i | \(0.885463\pi\) | |||||||
\(3\) | 3.55842 | − | 3.78651i | 0.684819 | − | 0.728714i | ||||
\(4\) | −5.55842 | − | 9.62747i | −0.694803 | − | 1.20343i | ||||
\(5\) | −2.31386 | − | 4.00772i | −0.206958 | − | 0.358462i | 0.743797 | − | 0.668406i | \(-0.233023\pi\) |
−0.950755 | + | 0.309944i | \(0.899690\pi\) | |||||||
\(6\) | 6.55842 | + | 21.7518i | 0.446244 | + | 1.48002i | ||||
\(7\) | −6.05842 | + | 10.4935i | −0.327124 | + | 0.566595i | −0.981940 | − | 0.189193i | \(-0.939413\pi\) |
0.654816 | + | 0.755788i | \(0.272746\pi\) | |||||||
\(8\) | 13.6277 | 0.602266 | ||||||||
\(9\) | −1.67527 | − | 26.9480i | −0.0620469 | − | 0.998073i | ||||
\(10\) | 20.2337 | 0.639845 | ||||||||
\(11\) | −5.01087 | + | 8.67909i | −0.137349 | + | 0.237895i | −0.926492 | − | 0.376314i | \(-0.877191\pi\) |
0.789144 | + | 0.614209i | \(0.210525\pi\) | |||||||
\(12\) | −56.2337 | − | 13.2116i | −1.35277 | − | 0.317822i | ||||
\(13\) | 24.2921 | + | 42.0752i | 0.518263 | + | 0.897658i | 0.999775 | + | 0.0212183i | \(0.00675450\pi\) |
−0.481512 | + | 0.876440i | \(0.659912\pi\) | |||||||
\(14\) | −26.4891 | − | 45.8805i | −0.505680 | − | 0.875863i | ||||
\(15\) | −23.4090 | − | 5.49972i | −0.402944 | − | 0.0946681i | ||||
\(16\) | 14.6753 | − | 25.4183i | 0.229301 | − | 0.397161i | ||||
\(17\) | 75.3505 | 1.07501 | 0.537506 | − | 0.843260i | \(-0.319367\pi\) | ||||
0.537506 | + | 0.843260i | \(0.319367\pi\) | |||||||
\(18\) | 105.701 | + | 52.5687i | 1.38411 | + | 0.688364i | ||||
\(19\) | −116.052 | −1.40127 | −0.700633 | − | 0.713522i | \(-0.747099\pi\) | ||||
−0.700633 | + | 0.713522i | \(0.747099\pi\) | |||||||
\(20\) | −25.7228 | + | 44.5532i | −0.287590 | + | 0.498120i | ||||
\(21\) | 18.1753 | + | 60.2805i | 0.188865 | + | 0.626395i | ||||
\(22\) | −21.9090 | − | 37.9474i | −0.212318 | − | 0.367746i | ||||
\(23\) | 19.0367 | + | 32.9725i | 0.172584 | + | 0.298923i | 0.939322 | − | 0.343036i | \(-0.111455\pi\) |
−0.766739 | + | 0.641959i | \(0.778122\pi\) | |||||||
\(24\) | 48.4932 | − | 51.6014i | 0.412443 | − | 0.438879i | ||||
\(25\) | 51.7921 | − | 89.7066i | 0.414337 | − | 0.717653i | ||||
\(26\) | −212.424 | −1.60230 | ||||||||
\(27\) | −108.000 | − | 89.5489i | −0.769800 | − | 0.638285i | ||||
\(28\) | 134.701 | 0.909147 | ||||||||
\(29\) | 11.3139 | − | 19.5962i | 0.0724459 | − | 0.125480i | −0.827527 | − | 0.561426i | \(-0.810253\pi\) |
0.899973 | + | 0.435946i | \(0.143586\pi\) | |||||||
\(30\) | 72.0000 | − | 76.6150i | 0.438178 | − | 0.466264i | ||||
\(31\) | −15.0584 | − | 26.0820i | −0.0872443 | − | 0.151112i | 0.819101 | − | 0.573649i | \(-0.194473\pi\) |
−0.906345 | + | 0.422538i | \(0.861139\pi\) | |||||||
\(32\) | 118.675 | + | 205.552i | 0.655594 | + | 1.13552i | ||||
\(33\) | 15.0326 | + | 49.8576i | 0.0792983 | + | 0.263003i | ||||
\(34\) | −164.727 | + | 285.315i | −0.830895 | + | 1.43915i | ||||
\(35\) | 56.0733 | 0.270804 | ||||||||
\(36\) | −250.129 | + | 165.917i | −1.15800 | + | 0.768133i | ||||
\(37\) | 130.103 | 0.578077 | 0.289038 | − | 0.957318i | \(-0.406665\pi\) | ||||
0.289038 | + | 0.957318i | \(0.406665\pi\) | |||||||
\(38\) | 253.705 | − | 439.430i | 1.08306 | − | 1.87592i | ||||
\(39\) | 245.759 | + | 57.7390i | 1.00905 | + | 0.237068i | ||||
\(40\) | −31.5326 | − | 54.6161i | −0.124644 | − | 0.215889i | ||||
\(41\) | −173.742 | − | 300.930i | −0.661803 | − | 1.14628i | −0.980142 | − | 0.198299i | \(-0.936458\pi\) |
0.318339 | − | 0.947977i | \(-0.396875\pi\) | |||||||
\(42\) | −267.986 | − | 62.9610i | −0.984552 | − | 0.231312i | ||||
\(43\) | −13.3832 | + | 23.1803i | −0.0474631 | + | 0.0822085i | −0.888781 | − | 0.458332i | \(-0.848447\pi\) |
0.841318 | + | 0.540541i | \(0.181780\pi\) | |||||||
\(44\) | 111.410 | 0.381721 | ||||||||
\(45\) | −104.124 | + | 69.0678i | −0.344930 | + | 0.228801i | ||||
\(46\) | −166.467 | −0.533571 | ||||||||
\(47\) | −230.439 | + | 399.132i | −0.715169 | + | 1.23871i | 0.247725 | + | 0.968830i | \(0.420317\pi\) |
−0.962894 | + | 0.269879i | \(0.913016\pi\) | |||||||
\(48\) | −44.0258 | − | 146.017i | −0.132387 | − | 0.439078i | ||||
\(49\) | 98.0910 | + | 169.899i | 0.285980 | + | 0.495331i | ||||
\(50\) | 226.450 | + | 392.222i | 0.640496 | + | 1.10937i | ||||
\(51\) | 268.129 | − | 285.315i | 0.736188 | − | 0.783375i | ||||
\(52\) | 270.052 | − | 467.743i | 0.720181 | − | 1.24739i | ||||
\(53\) | −438.310 | −1.13597 | −0.567985 | − | 0.823039i | \(-0.692277\pi\) | ||||
−0.567985 | + | 0.823039i | \(0.692277\pi\) | |||||||
\(54\) | 575.181 | − | 213.176i | 1.44948 | − | 0.537215i | ||||
\(55\) | 46.3778 | 0.113702 | ||||||||
\(56\) | −82.5625 | + | 143.002i | −0.197016 | + | 0.341241i | ||||
\(57\) | −412.961 | + | 439.430i | −0.959613 | + | 1.02112i | ||||
\(58\) | 49.4674 | + | 85.6800i | 0.111989 | + | 0.193971i | ||||
\(59\) | −4.18487 | − | 7.24841i | −0.00923430 | − | 0.0159943i | 0.861371 | − | 0.507976i | \(-0.169606\pi\) |
−0.870606 | + | 0.491982i | \(0.836273\pi\) | |||||||
\(60\) | 77.1684 | + | 255.939i | 0.166040 | + | 0.550693i | ||||
\(61\) | 41.0448 | − | 71.0916i | 0.0861515 | − | 0.149219i | −0.819730 | − | 0.572750i | \(-0.805876\pi\) |
0.905881 | + | 0.423532i | \(0.139210\pi\) | |||||||
\(62\) | 131.679 | 0.269730 | ||||||||
\(63\) | 292.928 | + | 145.683i | 0.585801 | + | 0.291338i | ||||
\(64\) | −802.959 | −1.56828 | ||||||||
\(65\) | 112.417 | − | 194.712i | 0.214517 | − | 0.371555i | ||||
\(66\) | −221.649 | − | 52.0745i | −0.413381 | − | 0.0971202i | ||||
\(67\) | −341.785 | − | 591.989i | −0.623220 | − | 1.07945i | −0.988882 | − | 0.148701i | \(-0.952491\pi\) |
0.365663 | − | 0.930747i | \(-0.380842\pi\) | |||||||
\(68\) | −418.830 | − | 725.435i | −0.746921 | − | 1.29370i | ||||
\(69\) | 192.591 | + | 45.2475i | 0.336018 | + | 0.0789444i | ||||
\(70\) | −122.584 | + | 212.322i | −0.209309 | + | 0.362533i | ||||
\(71\) | 1097.61 | 1.83468 | 0.917339 | − | 0.398107i | \(-0.130333\pi\) | ||||
0.917339 | + | 0.398107i | \(0.130333\pi\) | |||||||
\(72\) | −22.8301 | − | 367.239i | −0.0373687 | − | 0.601105i | ||||
\(73\) | 470.464 | 0.754297 | 0.377149 | − | 0.926153i | \(-0.376905\pi\) | ||||
0.377149 | + | 0.926153i | \(0.376905\pi\) | |||||||
\(74\) | −284.424 | + | 492.637i | −0.446805 | + | 0.773890i | ||||
\(75\) | −155.376 | − | 515.325i | −0.239218 | − | 0.793395i | ||||
\(76\) | 645.064 | + | 1117.28i | 0.973604 | + | 1.68633i | ||||
\(77\) | −60.7160 | − | 105.163i | −0.0898601 | − | 0.155642i | ||||
\(78\) | −755.894 | + | 804.344i | −1.09728 | + | 1.16762i | ||||
\(79\) | −243.017 | + | 420.919i | −0.346096 | + | 0.599456i | −0.985552 | − | 0.169371i | \(-0.945826\pi\) |
0.639456 | + | 0.768828i | \(0.279160\pi\) | |||||||
\(80\) | −135.826 | −0.189823 | ||||||||
\(81\) | −723.387 | + | 90.2901i | −0.992300 | + | 0.123855i | ||||
\(82\) | 1519.30 | 2.04608 | ||||||||
\(83\) | −49.5829 | + | 85.8802i | −0.0655715 | + | 0.113573i | −0.896947 | − | 0.442137i | \(-0.854220\pi\) |
0.831376 | + | 0.555711i | \(0.187554\pi\) | |||||||
\(84\) | 479.323 | − | 510.046i | 0.622601 | − | 0.662508i | ||||
\(85\) | −174.351 | − | 301.984i | −0.222482 | − | 0.385350i | ||||
\(86\) | −58.5149 | − | 101.351i | −0.0733701 | − | 0.127081i | ||||
\(87\) | −33.9416 | − | 112.571i | −0.0418267 | − | 0.138723i | ||||
\(88\) | −68.2868 | + | 118.276i | −0.0827204 | + | 0.143276i | ||||
\(89\) | 8.80426 | 0.0104859 | 0.00524297 | − | 0.999986i | \(-0.498331\pi\) | ||||
0.00524297 | + | 0.999986i | \(0.498331\pi\) | |||||||
\(90\) | −33.8968 | − | 545.257i | −0.0397004 | − | 0.638613i | ||||
\(91\) | −588.687 | −0.678145 | ||||||||
\(92\) | 211.628 | − | 366.550i | 0.239823 | − | 0.415386i | ||||
\(93\) | −152.344 | − | 35.7918i | −0.169864 | − | 0.0399079i | ||||
\(94\) | −1007.54 | − | 1745.12i | −1.10553 | − | 1.91484i | ||||
\(95\) | 268.527 | + | 465.103i | 0.290003 | + | 0.502300i | ||||
\(96\) | 1200.62 | + | 282.075i | 1.27643 | + | 0.299887i | ||||
\(97\) | −330.486 | + | 572.419i | −0.345936 | + | 0.599179i | −0.985523 | − | 0.169540i | \(-0.945772\pi\) |
0.639587 | + | 0.768719i | \(0.279105\pi\) | |||||||
\(98\) | −857.763 | −0.884155 | ||||||||
\(99\) | 242.278 | + | 120.493i | 0.245959 | + | 0.122323i | ||||
\(100\) | −1151.53 | −1.15153 | ||||||||
\(101\) | 282.561 | − | 489.410i | 0.278375 | − | 0.482160i | −0.692606 | − | 0.721316i | \(-0.743537\pi\) |
0.970981 | + | 0.239156i | \(0.0768708\pi\) | |||||||
\(102\) | 494.181 | + | 1639.01i | 0.479717 | + | 1.59104i | ||||
\(103\) | 485.591 | + | 841.068i | 0.464531 | + | 0.804592i | 0.999180 | − | 0.0404826i | \(-0.0128895\pi\) |
−0.534649 | + | 0.845074i | \(0.679556\pi\) | |||||||
\(104\) | 331.046 | + | 573.389i | 0.312132 | + | 0.540629i | ||||
\(105\) | 199.533 | − | 212.322i | 0.185451 | − | 0.197338i | ||||
\(106\) | 958.206 | − | 1659.66i | 0.878012 | − | 1.52076i | ||||
\(107\) | −563.845 | −0.509430 | −0.254715 | − | 0.967016i | \(-0.581982\pi\) | ||||
−0.254715 | + | 0.967016i | \(0.581982\pi\) | |||||||
\(108\) | −261.819 | + | 1537.52i | −0.233274 | + | 1.36989i | ||||
\(109\) | 225.484 | 0.198142 | 0.0990709 | − | 0.995080i | \(-0.468413\pi\) | ||||
0.0990709 | + | 0.995080i | \(0.468413\pi\) | |||||||
\(110\) | −101.388 | + | 175.610i | −0.0878819 | + | 0.152216i | ||||
\(111\) | 462.962 | − | 492.637i | 0.395878 | − | 0.421252i | ||||
\(112\) | 177.818 | + | 307.990i | 0.150020 | + | 0.259842i | ||||
\(113\) | 345.531 | + | 598.478i | 0.287654 | + | 0.498231i | 0.973249 | − | 0.229752i | \(-0.0737915\pi\) |
−0.685596 | + | 0.727983i | \(0.740458\pi\) | |||||||
\(114\) | −761.115 | − | 2524.33i | −0.625307 | − | 2.07391i | ||||
\(115\) | 88.0964 | − | 152.587i | 0.0714350 | − | 0.123729i | ||||
\(116\) | −251.549 | −0.201342 | ||||||||
\(117\) | 1093.14 | − | 725.110i | 0.863772 | − | 0.572961i | ||||
\(118\) | 36.5949 | 0.0285494 | ||||||||
\(119\) | −456.505 | + | 790.690i | −0.351662 | + | 0.609096i | ||||
\(120\) | −319.011 | − | 74.9487i | −0.242680 | − | 0.0570154i | ||||
\(121\) | 615.282 | + | 1065.70i | 0.462271 | + | 0.800676i | ||||
\(122\) | 179.459 | + | 310.833i | 0.133176 | + | 0.230668i | ||||
\(123\) | −1757.72 | − | 412.960i | −1.28852 | − | 0.302726i | ||||
\(124\) | −167.402 | + | 289.949i | −0.121235 | + | 0.209985i | ||||
\(125\) | −1057.82 | −0.756917 | ||||||||
\(126\) | −1192.01 | + | 790.690i | −0.842800 | + | 0.559050i | ||||
\(127\) | −895.897 | −0.625968 | −0.312984 | − | 0.949758i | \(-0.601329\pi\) | ||||
−0.312984 | + | 0.949758i | \(0.601329\pi\) | |||||||
\(128\) | 805.979 | − | 1396.00i | 0.556556 | − | 0.963983i | ||||
\(129\) | 40.1495 | + | 133.161i | 0.0274028 | + | 0.0908849i | ||||
\(130\) | 491.519 | + | 851.336i | 0.331608 | + | 0.574362i | ||||
\(131\) | −827.428 | − | 1433.15i | −0.551853 | − | 0.955837i | −0.998141 | − | 0.0609476i | \(-0.980588\pi\) |
0.446288 | − | 0.894889i | \(-0.352746\pi\) | |||||||
\(132\) | 396.445 | − | 421.856i | 0.261410 | − | 0.278165i | ||||
\(133\) | 703.090 | − | 1217.79i | 0.458388 | − | 0.793951i | ||||
\(134\) | 2988.76 | 1.92679 | ||||||||
\(135\) | −108.990 | + | 640.037i | −0.0694843 | + | 0.408042i | ||||
\(136\) | 1026.86 | 0.647442 | ||||||||
\(137\) | 1325.55 | − | 2295.91i | 0.826635 | − | 1.43177i | −0.0740277 | − | 0.997256i | \(-0.523585\pi\) |
0.900663 | − | 0.434518i | \(-0.143081\pi\) | |||||||
\(138\) | −592.361 | + | 630.330i | −0.365400 | + | 0.388821i | ||||
\(139\) | −317.084 | − | 549.206i | −0.193487 | − | 0.335130i | 0.752916 | − | 0.658116i | \(-0.228646\pi\) |
−0.946404 | + | 0.322986i | \(0.895313\pi\) | |||||||
\(140\) | −311.679 | − | 539.844i | −0.188155 | − | 0.325894i | ||||
\(141\) | 691.316 | + | 2292.84i | 0.412903 | + | 1.36944i | ||||
\(142\) | −2399.53 | + | 4156.10i | −1.41805 | + | 2.45614i | ||||
\(143\) | −486.899 | −0.284731 | ||||||||
\(144\) | −709.557 | − | 352.886i | −0.410623 | − | 0.204217i | ||||
\(145\) | −104.715 | −0.0599730 | ||||||||
\(146\) | −1028.50 | + | 1781.42i | −0.583009 | + | 1.00980i | ||||
\(147\) | 992.372 | + | 233.149i | 0.556799 | + | 0.130815i | ||||
\(148\) | −723.168 | − | 1252.56i | −0.401649 | − | 0.695677i | ||||
\(149\) | 1703.16 | + | 2949.96i | 0.936432 | + | 1.62195i | 0.772060 | + | 0.635550i | \(0.219227\pi\) |
0.164372 | + | 0.986398i | \(0.447440\pi\) | |||||||
\(150\) | 2290.96 | + | 538.239i | 1.24704 | + | 0.292980i | ||||
\(151\) | 875.159 | − | 1515.82i | 0.471652 | − | 0.816925i | −0.527822 | − | 0.849355i | \(-0.676991\pi\) |
0.999474 | + | 0.0324302i | \(0.0103247\pi\) | |||||||
\(152\) | −1581.52 | −0.843935 | ||||||||
\(153\) | −126.232 | − | 2030.54i | −0.0667011 | − | 1.07294i | ||||
\(154\) | 530.935 | 0.277818 | ||||||||
\(155\) | −69.6861 | + | 120.700i | −0.0361118 | + | 0.0625474i | ||||
\(156\) | −810.155 | − | 2686.98i | −0.415797 | − | 1.37904i | ||||
\(157\) | −1089.29 | − | 1886.70i | −0.553723 | − | 0.959076i | −0.998002 | − | 0.0631876i | \(-0.979873\pi\) |
0.444279 | − | 0.895889i | \(-0.353460\pi\) | |||||||
\(158\) | −1062.54 | − | 1840.37i | −0.535008 | − | 0.926660i | ||||
\(159\) | −1559.69 | + | 1659.66i | −0.777934 | + | 0.827797i | ||||
\(160\) | 549.196 | − | 951.235i | 0.271361 | − | 0.470011i | ||||
\(161\) | −461.329 | −0.225825 | ||||||||
\(162\) | 1239.54 | − | 2936.50i | 0.601158 | − | 1.42415i | ||||
\(163\) | 2188.41 | 1.05159 | 0.525797 | − | 0.850610i | \(-0.323767\pi\) | ||||
0.525797 | + | 0.850610i | \(0.323767\pi\) | |||||||
\(164\) | −1931.46 | + | 3345.39i | −0.919645 | + | 1.59287i | ||||
\(165\) | 165.032 | − | 175.610i | 0.0778650 | − | 0.0828559i | ||||
\(166\) | −216.791 | − | 375.492i | −0.101363 | − | 0.175565i | ||||
\(167\) | −960.520 | − | 1663.67i | −0.445074 | − | 0.770890i | 0.552984 | − | 0.833192i | \(-0.313489\pi\) |
−0.998057 | + | 0.0623020i | \(0.980156\pi\) | |||||||
\(168\) | 247.687 | + | 821.486i | 0.113747 | + | 0.377256i | ||||
\(169\) | −81.7132 | + | 141.531i | −0.0371931 | + | 0.0644203i | ||||
\(170\) | 1524.62 | 0.687841 | ||||||||
\(171\) | 194.417 | + | 3127.36i | 0.0869442 | + | 1.39857i | ||||
\(172\) | 297.557 | 0.131910 | ||||||||
\(173\) | −1584.91 | + | 2745.15i | −0.696525 | + | 1.20642i | 0.273139 | + | 0.961974i | \(0.411938\pi\) |
−0.969664 | + | 0.244442i | \(0.921395\pi\) | |||||||
\(174\) | 500.454 | + | 117.577i | 0.218042 | + | 0.0512270i | ||||
\(175\) | 627.557 | + | 1086.96i | 0.271079 | + | 0.469523i | ||||
\(176\) | 147.072 | + | 254.736i | 0.0629884 | + | 0.109099i | ||||
\(177\) | −42.3377 | − | 9.94685i | −0.0179791 | − | 0.00422402i | ||||
\(178\) | −19.2473 | + | 33.3374i | −0.00810477 | + | 0.0140379i | ||||
\(179\) | 1368.78 | 0.571551 | 0.285776 | − | 0.958297i | \(-0.407749\pi\) | ||||
0.285776 | + | 0.958297i | \(0.407749\pi\) | |||||||
\(180\) | 1243.71 | + | 618.539i | 0.515004 | + | 0.256129i | ||||
\(181\) | −3951.44 | −1.62270 | −0.811350 | − | 0.584561i | \(-0.801267\pi\) | ||||
−0.811350 | + | 0.584561i | \(0.801267\pi\) | |||||||
\(182\) | 1286.95 | − | 2229.07i | 0.524150 | − | 0.907855i | ||||
\(183\) | −123.134 | − | 408.390i | −0.0497396 | − | 0.164968i | ||||
\(184\) | 259.426 | + | 449.340i | 0.103941 | + | 0.180031i | ||||
\(185\) | −301.040 | − | 521.417i | −0.119637 | − | 0.207218i | ||||
\(186\) | 468.571 | − | 498.605i | 0.184716 | − | 0.196556i | ||||
\(187\) | −377.572 | + | 653.974i | −0.147651 | + | 0.255740i | ||||
\(188\) | 5123.50 | 1.98761 | ||||||||
\(189\) | 1593.99 | − | 590.773i | 0.613469 | − | 0.227367i | ||||
\(190\) | −2348.15 | −0.896594 | ||||||||
\(191\) | 1201.29 | − | 2080.70i | 0.455092 | − | 0.788243i | −0.543601 | − | 0.839344i | \(-0.682940\pi\) |
0.998693 | + | 0.0511008i | \(0.0162730\pi\) | |||||||
\(192\) | −2857.27 | + | 3040.41i | −1.07399 | + | 1.14283i | ||||
\(193\) | 667.535 | + | 1156.20i | 0.248965 | + | 0.431220i | 0.963239 | − | 0.268646i | \(-0.0865763\pi\) |
−0.714274 | + | 0.699866i | \(0.753243\pi\) | |||||||
\(194\) | −1444.98 | − | 2502.78i | −0.534760 | − | 0.926232i | ||||
\(195\) | −337.251 | − | 1118.54i | −0.123852 | − | 0.410769i | ||||
\(196\) | 1090.46 | − | 1888.74i | 0.397399 | − | 0.688315i | ||||
\(197\) | −2630.89 | −0.951487 | −0.475743 | − | 0.879584i | \(-0.657821\pi\) | ||||
−0.475743 | + | 0.879584i | \(0.657821\pi\) | |||||||
\(198\) | −985.903 | + | 653.974i | −0.353864 | + | 0.234727i | ||||
\(199\) | 2477.34 | 0.882483 | 0.441241 | − | 0.897388i | \(-0.354538\pi\) | ||||
0.441241 | + | 0.897388i | \(0.354538\pi\) | |||||||
\(200\) | 705.808 | − | 1222.50i | 0.249541 | − | 0.432218i | ||||
\(201\) | −3457.79 | − | 812.376i | −1.21340 | − | 0.285078i | ||||
\(202\) | 1235.44 | + | 2139.84i | 0.430322 | + | 0.745340i | ||||
\(203\) | 137.088 | + | 237.444i | 0.0473976 | + | 0.0820950i | ||||
\(204\) | −4237.24 | − | 995.501i | −1.45425 | − | 0.341662i | ||||
\(205\) | −804.028 | + | 1392.62i | −0.273931 | + | 0.474462i | ||||
\(206\) | −4246.28 | −1.43618 | ||||||||
\(207\) | 856.650 | − | 568.238i | 0.287639 | − | 0.190798i | ||||
\(208\) | 1425.97 | 0.475353 | ||||||||
\(209\) | 581.520 | − | 1007.22i | 0.192462 | − | 0.333354i | ||||
\(210\) | 367.753 | + | 1219.70i | 0.120844 | + | 0.400796i | ||||
\(211\) | 1392.36 | + | 2411.65i | 0.454286 | + | 0.786847i | 0.998647 | − | 0.0520047i | \(-0.0165611\pi\) |
−0.544361 | + | 0.838851i | \(0.683228\pi\) | |||||||
\(212\) | 2436.31 | + | 4219.81i | 0.789276 | + | 1.36707i | ||||
\(213\) | 3905.75 | − | 4156.10i | 1.25642 | − | 1.33696i | ||||
\(214\) | 1232.64 | − | 2135.00i | 0.393747 | − | 0.681990i | ||||
\(215\) | 123.867 | 0.0392914 | ||||||||
\(216\) | −1471.79 | − | 1220.35i | −0.463624 | − | 0.384417i | ||||
\(217\) | 364.921 | 0.114159 | ||||||||
\(218\) | −492.940 | + | 853.797i | −0.153147 | + | 0.265259i | ||||
\(219\) | 1674.11 | − | 1781.42i | 0.516557 | − | 0.549667i | ||||
\(220\) | −257.788 | − | 446.501i | −0.0790002 | − | 0.136832i | ||||
\(221\) | 1830.42 | + | 3170.39i | 0.557138 | + | 0.964992i | ||||
\(222\) | 853.272 | + | 2829.98i | 0.257963 | + | 0.855567i | ||||
\(223\) | 21.5288 | − | 37.2890i | 0.00646491 | − | 0.0111976i | −0.862775 | − | 0.505588i | \(-0.831275\pi\) |
0.869240 | + | 0.494391i | \(0.164609\pi\) | |||||||
\(224\) | −2875.94 | −0.857843 | ||||||||
\(225\) | −2504.18 | − | 1245.41i | −0.741978 | − | 0.369010i | ||||
\(226\) | −3021.52 | −0.889330 | ||||||||
\(227\) | −341.630 | + | 591.721i | −0.0998889 | + | 0.173013i | −0.911639 | − | 0.410993i | \(-0.865182\pi\) |
0.811750 | + | 0.584006i | \(0.198515\pi\) | |||||||
\(228\) | 6526.01 | + | 1533.23i | 1.89559 | + | 0.445353i | ||||
\(229\) | −2147.15 | − | 3718.98i | −0.619598 | − | 1.07317i | −0.989559 | − | 0.144127i | \(-0.953962\pi\) |
0.369962 | − | 0.929047i | \(-0.379371\pi\) | |||||||
\(230\) | 385.182 | + | 667.155i | 0.110427 | + | 0.191265i | ||||
\(231\) | −614.254 | − | 144.313i | −0.174957 | − | 0.0411045i | ||||
\(232\) | 154.182 | − | 267.051i | 0.0436317 | − | 0.0755723i | ||||
\(233\) | 3466.34 | 0.974625 | 0.487313 | − | 0.873228i | \(-0.337977\pi\) | ||||
0.487313 | + | 0.873228i | \(0.337977\pi\) | |||||||
\(234\) | 355.866 | + | 5724.39i | 0.0994176 | + | 1.59921i | ||||
\(235\) | 2132.81 | 0.592040 | ||||||||
\(236\) | −46.5225 | + | 80.5794i | −0.0128320 | + | 0.0222257i | ||||
\(237\) | 729.052 | + | 2417.99i | 0.199819 | + | 0.662724i | ||||
\(238\) | −1995.97 | − | 3457.12i | −0.543611 | − | 0.941562i | ||||
\(239\) | −2821.69 | − | 4887.30i | −0.763681 | − | 1.32273i | −0.940941 | − | 0.338570i | \(-0.890057\pi\) |
0.177261 | − | 0.984164i | \(-0.443276\pi\) | |||||||
\(240\) | −483.326 | + | 514.306i | −0.129994 | + | 0.138326i | ||||
\(241\) | −3294.71 | + | 5706.61i | −0.880627 | + | 1.52529i | −0.0299825 | + | 0.999550i | \(0.509545\pi\) |
−0.850645 | + | 0.525741i | \(0.823788\pi\) | |||||||
\(242\) | −5380.37 | −1.42919 | ||||||||
\(243\) | −2232.23 | + | 3060.40i | −0.589291 | + | 0.807921i | ||||
\(244\) | −912.577 | −0.239433 | ||||||||
\(245\) | 453.938 | − | 786.243i | 0.118372 | − | 0.205025i | ||||
\(246\) | 5406.30 | − | 5752.82i | 1.40119 | − | 1.49100i | ||||
\(247\) | −2819.14 | − | 4882.89i | −0.726225 | − | 1.25786i | ||||
\(248\) | −205.212 | − | 355.438i | −0.0525442 | − | 0.0910093i | ||||
\(249\) | 148.749 | + | 493.344i | 0.0378577 | + | 0.125560i | ||||
\(250\) | 2312.55 | − | 4005.46i | 0.585034 | − | 1.01331i | ||||
\(251\) | 4135.47 | 1.03996 | 0.519978 | − | 0.854180i | \(-0.325940\pi\) | ||||
0.519978 | + | 0.854180i | \(0.325940\pi\) | |||||||
\(252\) | −225.660 | − | 3629.92i | −0.0564097 | − | 0.907395i | ||||
\(253\) | −381.562 | −0.0948165 | ||||||||
\(254\) | 1958.56 | − | 3392.32i | 0.483822 | − | 0.838004i | ||||
\(255\) | −1763.88 | − | 414.407i | −0.433170 | − | 0.101769i | ||||
\(256\) | 312.132 | + | 540.628i | 0.0762041 | + | 0.131989i | ||||
\(257\) | 1672.31 | + | 2896.53i | 0.405898 | + | 0.703036i | 0.994426 | − | 0.105441i | \(-0.0336254\pi\) |
−0.588527 | + | 0.808477i | \(0.700292\pi\) | |||||||
\(258\) | −591.986 | − | 139.082i | −0.142851 | − | 0.0335615i | ||||
\(259\) | −788.220 | + | 1365.24i | −0.189103 | + | 0.327536i | ||||
\(260\) | −2499.45 | −0.596189 | ||||||||
\(261\) | −547.031 | − | 272.057i | −0.129733 | − | 0.0645207i | ||||
\(262\) | 7235.49 | 1.70615 | ||||||||
\(263\) | −3260.75 | + | 5647.78i | −0.764511 | + | 1.32417i | 0.175994 | + | 0.984391i | \(0.443686\pi\) |
−0.940505 | + | 0.339780i | \(0.889647\pi\) | |||||||
\(264\) | 204.860 | + | 679.445i | 0.0477587 | + | 0.158398i | ||||
\(265\) | 1014.19 | + | 1756.62i | 0.235098 | + | 0.407202i | ||||
\(266\) | 3074.11 | + | 5324.51i | 0.708592 | + | 1.22732i | ||||
\(267\) | 31.3293 | − | 33.3374i | 0.00718097 | − | 0.00764125i | ||||
\(268\) | −3799.57 | + | 6581.05i | −0.866029 | + | 1.50001i | ||||
\(269\) | −2904.99 | −0.658441 | −0.329220 | − | 0.944253i | \(-0.606786\pi\) | ||||
−0.329220 | + | 0.944253i | \(0.606786\pi\) | |||||||
\(270\) | −2185.24 | − | 1811.90i | −0.492553 | − | 0.408404i | ||||
\(271\) | −1335.38 | −0.299331 | −0.149665 | − | 0.988737i | \(-0.547820\pi\) | ||||
−0.149665 | + | 0.988737i | \(0.547820\pi\) | |||||||
\(272\) | 1105.79 | − | 1915.28i | 0.246501 | − | 0.426953i | ||||
\(273\) | −2094.80 | + | 2229.07i | −0.464406 | + | 0.494174i | ||||
\(274\) | 5795.66 | + | 10038.4i | 1.27784 | + | 2.21329i | ||||
\(275\) | 519.048 | + | 899.017i | 0.113817 | + | 0.197137i | ||||
\(276\) | −634.883 | − | 2105.67i | −0.138462 | − | 0.459226i | ||||
\(277\) | 4187.82 | − | 7253.51i | 0.908381 | − | 1.57336i | 0.0920685 | − | 0.995753i | \(-0.470652\pi\) |
0.816313 | − | 0.577610i | \(-0.196015\pi\) | |||||||
\(278\) | 2772.76 | 0.598199 | ||||||||
\(279\) | −677.629 | + | 449.488i | −0.145407 | + | 0.0964522i | ||||
\(280\) | 764.152 | 0.163096 | ||||||||
\(281\) | 2589.67 | − | 4485.43i | 0.549774 | − | 0.952237i | −0.448516 | − | 0.893775i | \(-0.648047\pi\) |
0.998290 | − | 0.0584616i | \(-0.0186195\pi\) | |||||||
\(282\) | −10193.2 | − | 2394.79i | −2.15246 | − | 0.505701i | ||||
\(283\) | 1540.03 | + | 2667.42i | 0.323482 | + | 0.560288i | 0.981204 | − | 0.192973i | \(-0.0618130\pi\) |
−0.657722 | + | 0.753261i | \(0.728480\pi\) | |||||||
\(284\) | −6100.97 | − | 10567.2i | −1.27474 | − | 2.20791i | ||||
\(285\) | 2716.65 | + | 638.252i | 0.564632 | + | 0.132655i | ||||
\(286\) | 1064.43 | − | 1843.65i | 0.220074 | − | 0.381179i | ||||
\(287\) | 4210.40 | 0.865966 | ||||||||
\(288\) | 5340.39 | − | 3542.41i | 1.09266 | − | 0.724787i | ||||
\(289\) | 764.703 | 0.155649 | ||||||||
\(290\) | 228.921 | − | 396.503i | 0.0463542 | − | 0.0802878i | ||||
\(291\) | 991.459 | + | 3288.30i | 0.199726 | + | 0.662417i | ||||
\(292\) | −2615.04 | − | 4529.38i | −0.524088 | − | 0.907747i | ||||
\(293\) | −1824.45 | − | 3160.04i | −0.363773 | − | 0.630073i | 0.624806 | − | 0.780780i | \(-0.285178\pi\) |
−0.988578 | + | 0.150708i | \(0.951845\pi\) | |||||||
\(294\) | −3052.28 | + | 3247.93i | −0.605486 | + | 0.644296i | ||||
\(295\) | −19.3664 | + | 33.5436i | −0.00382222 | + | 0.00662028i | ||||
\(296\) | 1773.01 | 0.348156 | ||||||||
\(297\) | 1318.38 | − | 488.624i | 0.257576 | − | 0.0954640i | ||||
\(298\) | −14893.4 | −2.89514 | ||||||||
\(299\) | −924.882 | + | 1601.94i | −0.178887 | + | 0.309842i | ||||
\(300\) | −4097.63 | + | 4360.27i | −0.788589 | + | 0.839135i | ||||
\(301\) | −162.162 | − | 280.872i | −0.0310526 | − | 0.0537847i | ||||
\(302\) | 3826.44 | + | 6627.59i | 0.729096 | + | 1.26283i | ||||
\(303\) | −847.684 | − | 2811.45i | −0.160720 | − | 0.533048i | ||||
\(304\) | −1703.09 | + | 2949.84i | −0.321312 | + | 0.556528i | ||||
\(305\) | −379.887 | −0.0713190 | ||||||||
\(306\) | 7964.63 | + | 3961.08i | 1.48793 | + | 0.739999i | ||||
\(307\) | −3439.25 | −0.639376 | −0.319688 | − | 0.947523i | \(-0.603578\pi\) | ||||
−0.319688 | + | 0.947523i | \(0.603578\pi\) | |||||||
\(308\) | −674.970 | + | 1169.08i | −0.124870 | + | 0.216281i | ||||
\(309\) | 4912.65 | + | 1154.18i | 0.904436 | + | 0.212489i | ||||
\(310\) | −304.687 | − | 527.734i | −0.0558228 | − | 0.0966880i | ||||
\(311\) | −3587.66 | − | 6214.02i | −0.654141 | − | 1.13301i | −0.982108 | − | 0.188316i | \(-0.939697\pi\) |
0.327968 | − | 0.944689i | \(-0.393636\pi\) | |||||||
\(312\) | 3349.14 | + | 786.850i | 0.607717 | + | 0.142778i | ||||
\(313\) | 2428.65 | − | 4206.54i | 0.438579 | − | 0.759642i | −0.559001 | − | 0.829167i | \(-0.688815\pi\) |
0.997580 | + | 0.0695253i | \(0.0221485\pi\) | |||||||
\(314\) | 9525.33 | 1.71193 | ||||||||
\(315\) | −93.9378 | − | 1511.06i | −0.0168025 | − | 0.270282i | ||||
\(316\) | 5403.17 | 0.961874 | ||||||||
\(317\) | −3773.97 | + | 6536.70i | −0.668666 | + | 1.15816i | 0.309611 | + | 0.950863i | \(0.399801\pi\) |
−0.978277 | + | 0.207300i | \(0.933532\pi\) | |||||||
\(318\) | −2874.62 | − | 9534.03i | −0.506920 | − | 1.68126i | ||||
\(319\) | 113.385 | + | 196.388i | 0.0199007 | + | 0.0344690i | ||||
\(320\) | 1857.93 | + | 3218.04i | 0.324568 | + | 0.562168i | ||||
\(321\) | −2006.40 | + | 2135.00i | −0.348867 | + | 0.371228i | ||||
\(322\) | 1008.53 | − | 1746.82i | 0.174544 | − | 0.302319i | ||||
\(323\) | −8744.55 | −1.50638 | ||||||||
\(324\) | 4890.15 | + | 6462.52i | 0.838504 | + | 1.10811i | ||||
\(325\) | 5032.56 | 0.858942 | ||||||||
\(326\) | −4784.18 | + | 8286.44i | −0.812795 | + | 1.40780i | ||||
\(327\) | 802.367 | − | 853.797i | 0.135691 | − | 0.144389i | ||||
\(328\) | −2367.70 | − | 4100.98i | −0.398581 | − | 0.690363i | ||||
\(329\) | −2792.19 | − | 4836.22i | −0.467898 | − | 0.810423i | ||||
\(330\) | 304.165 | + | 1008.80i | 0.0507387 | + | 0.168281i | ||||
\(331\) | 1564.86 | − | 2710.41i | 0.259856 | − | 0.450084i | −0.706347 | − | 0.707866i | \(-0.749658\pi\) |
0.966203 | + | 0.257782i | \(0.0829915\pi\) | |||||||
\(332\) | 1102.41 | 0.182237 | ||||||||
\(333\) | −217.957 | − | 3506.02i | −0.0358679 | − | 0.576963i | ||||
\(334\) | 8399.33 | 1.37602 | ||||||||
\(335\) | −1581.69 | + | 2739.56i | −0.257960 | + | 0.446801i | ||||
\(336\) | 1798.96 | + | 422.648i | 0.292087 | + | 0.0686231i | ||||
\(337\) | 4614.99 | + | 7993.39i | 0.745978 | + | 1.29207i | 0.949737 | + | 0.313050i | \(0.101351\pi\) |
−0.203759 | + | 0.979021i | \(0.565316\pi\) | |||||||
\(338\) | −357.273 | − | 618.815i | −0.0574944 | − | 0.0995832i | ||||
\(339\) | 3495.69 | + | 821.280i | 0.560058 | + | 0.131581i | ||||
\(340\) | −1938.23 | + | 3357.11i | −0.309162 | + | 0.535485i | ||||
\(341\) | 301.823 | 0.0479315 | ||||||||
\(342\) | −12266.8 | − | 6100.68i | −1.93951 | − | 0.964581i | ||||
\(343\) | −6533.19 | −1.02845 | ||||||||
\(344\) | −182.382 | + | 315.895i | −0.0285854 | + | 0.0495113i | ||||
\(345\) | −264.289 | − | 876.548i | −0.0412430 | − | 0.136788i | ||||
\(346\) | −6929.69 | − | 12002.6i | −1.07671 | − | 1.86492i | ||||
\(347\) | 4052.20 | + | 7018.61i | 0.626897 | + | 1.08582i | 0.988171 | + | 0.153358i | \(0.0490088\pi\) |
−0.361273 | + | 0.932460i | \(0.617658\pi\) | |||||||
\(348\) | −895.117 | + | 952.491i | −0.137883 | + | 0.146721i | ||||
\(349\) | −1538.21 | + | 2664.26i | −0.235927 | + | 0.408638i | −0.959542 | − | 0.281566i | \(-0.909146\pi\) |
0.723615 | + | 0.690204i | \(0.242479\pi\) | |||||||
\(350\) | −5487.71 | −0.838087 | ||||||||
\(351\) | 1144.24 | − | 6719.45i | 0.174002 | − | 1.02182i | ||||
\(352\) | −2378.67 | −0.360180 | ||||||||
\(353\) | 3075.04 | − | 5326.13i | 0.463649 | − | 0.803063i | −0.535491 | − | 0.844541i | \(-0.679873\pi\) |
0.999139 | + | 0.0414780i | \(0.0132067\pi\) | |||||||
\(354\) | 130.220 | − | 138.567i | 0.0195512 | − | 0.0208043i | ||||
\(355\) | −2539.71 | − | 4398.91i | −0.379701 | − | 0.657662i | ||||
\(356\) | −48.9378 | − | 84.7627i | −0.00728566 | − | 0.0126191i | ||||
\(357\) | 1369.52 | + | 4542.17i | 0.203032 | + | 0.673381i | ||||
\(358\) | −2992.35 | + | 5182.91i | −0.441762 | + | 0.765154i | ||||
\(359\) | 3307.94 | 0.486313 | 0.243156 | − | 0.969987i | \(-0.421817\pi\) | ||||
0.243156 | + | 0.969987i | \(0.421817\pi\) | |||||||
\(360\) | −1418.97 | + | 941.237i | −0.207739 | + | 0.137799i | ||||
\(361\) | 6608.97 | 0.963548 | ||||||||
\(362\) | 8638.41 | − | 14962.2i | 1.25421 | − | 2.17236i | ||||
\(363\) | 6224.71 | + | 1462.44i | 0.900035 | + | 0.211455i | ||||
\(364\) | 3272.17 | + | 5667.57i | 0.471177 | + | 0.816103i | ||||
\(365\) | −1088.59 | − | 1885.49i | −0.156108 | − | 0.270387i | ||||
\(366\) | 1815.56 | + | 426.550i | 0.259292 | + | 0.0609183i | ||||
\(367\) | −1474.65 | + | 2554.16i | −0.209744 | + | 0.363287i | −0.951634 | − | 0.307235i | \(-0.900596\pi\) |
0.741890 | + | 0.670522i | \(0.233930\pi\) | |||||||
\(368\) | 1117.47 | 0.158294 | ||||||||
\(369\) | −7818.38 | + | 5186.13i | −1.10300 | + | 0.731650i | ||||
\(370\) | 2632.47 | 0.369880 | ||||||||
\(371\) | 2655.46 | − | 4599.40i | 0.371603 | − | 0.643636i | ||||
\(372\) | 502.206 | + | 1665.63i | 0.0699951 | + | 0.232148i | ||||
\(373\) | −581.790 | − | 1007.69i | −0.0807612 | − | 0.139883i | 0.822816 | − | 0.568308i | \(-0.192402\pi\) |
−0.903577 | + | 0.428425i | \(0.859068\pi\) | |||||||
\(374\) | −1650.85 | − | 2859.36i | −0.228245 | − | 0.395331i | ||||
\(375\) | −3764.18 | + | 4005.46i | −0.518351 | + | 0.551576i | ||||
\(376\) | −3140.36 | + | 5439.25i | −0.430722 | + | 0.746032i | ||||
\(377\) | 1099.35 | 0.150184 | ||||||||
\(378\) | −1247.72 | + | 7327.17i | −0.169778 | + | 0.997007i | ||||
\(379\) | −4016.67 | −0.544387 | −0.272193 | − | 0.962243i | \(-0.587749\pi\) | ||||
−0.272193 | + | 0.962243i | \(0.587749\pi\) | |||||||
\(380\) | 2985.17 | − | 5170.47i | 0.402990 | − | 0.697999i | ||||
\(381\) | −3187.98 | + | 3392.32i | −0.428675 | + | 0.456152i | ||||
\(382\) | 5252.40 | + | 9097.42i | 0.703497 | + | 1.21849i | ||||
\(383\) | 5401.65 | + | 9355.93i | 0.720656 | + | 1.24821i | 0.960737 | + | 0.277460i | \(0.0894926\pi\) |
−0.240081 | + | 0.970753i | \(0.577174\pi\) | |||||||
\(384\) | −2417.94 | − | 8019.39i | −0.321328 | − | 1.06572i | ||||
\(385\) | −280.977 | + | 486.666i | −0.0371945 | + | 0.0644228i | ||||
\(386\) | −5837.30 | −0.769717 | ||||||||
\(387\) | 647.083 | + | 321.816i | 0.0849950 | + | 0.0422708i | ||||
\(388\) | 7347.93 | 0.961429 | ||||||||
\(389\) | −1032.29 | + | 1787.99i | −0.134549 | + | 0.233045i | −0.925425 | − | 0.378931i | \(-0.876292\pi\) |
0.790876 | + | 0.611976i | \(0.209625\pi\) | |||||||
\(390\) | 4972.62 | + | 1168.27i | 0.645637 | + | 0.151687i | ||||
\(391\) | 1434.42 | + | 2484.49i | 0.185529 | + | 0.321346i | ||||
\(392\) | 1336.76 | + | 2315.33i | 0.172236 | + | 0.298321i | ||||
\(393\) | −8370.96 | − | 1966.68i | −1.07445 | − | 0.252432i | ||||
\(394\) | 5751.49 | − | 9961.87i | 0.735421 | − | 1.27379i | ||||
\(395\) | 2249.23 | 0.286509 | ||||||||
\(396\) | −186.642 | − | 3002.28i | −0.0236846 | − | 0.380985i | ||||
\(397\) | −7937.61 | −1.00347 | −0.501735 | − | 0.865022i | \(-0.667305\pi\) | ||||
−0.501735 | + | 0.865022i | \(0.667305\pi\) | |||||||
\(398\) | −5415.82 | + | 9380.47i | −0.682086 | + | 1.18141i | ||||
\(399\) | −2109.27 | − | 6995.65i | −0.264650 | − | 0.877746i | ||||
\(400\) | −1520.13 | − | 2632.94i | −0.190016 | − | 0.329117i | ||||
\(401\) | −1289.10 | − | 2232.79i | −0.160536 | − | 0.278056i | 0.774525 | − | 0.632543i | \(-0.217989\pi\) |
−0.935061 | + | 0.354487i | \(0.884656\pi\) | |||||||
\(402\) | 10635.3 | − | 11317.0i | 1.31950 | − | 1.40408i | ||||
\(403\) | 731.602 | − | 1267.17i | 0.0904310 | − | 0.156631i | ||||
\(404\) | −6282.38 | −0.773663 | ||||||||
\(405\) | 2035.67 | + | 2690.22i | 0.249762 | + | 0.330069i | ||||
\(406\) | −1198.78 | −0.146538 | ||||||||
\(407\) | −651.931 | + | 1129.18i | −0.0793981 | + | 0.137521i | ||||
\(408\) | 3653.99 | − | 3888.20i | 0.443381 | − | 0.471800i | ||||
\(409\) | −2922.88 | − | 5062.57i | −0.353367 | − | 0.612049i | 0.633470 | − | 0.773767i | \(-0.281630\pi\) |
−0.986837 | + | 0.161718i | \(0.948297\pi\) | |||||||
\(410\) | −3515.44 | − | 6088.92i | −0.423451 | − | 0.733439i | ||||
\(411\) | −3976.64 | − | 13189.0i | −0.477258 | − | 1.58289i | ||||
\(412\) | 5398.24 | − | 9350.03i | 0.645515 | − | 1.11806i | ||||
\(413\) | 101.415 | 0.0120830 | ||||||||
\(414\) | 278.877 | + | 4485.96i | 0.0331064 | + | 0.532543i | ||||
\(415\) | 458.912 | 0.0542822 | ||||||||
\(416\) | −5765.75 | + | 9986.56i | −0.679541 | + | 1.17700i | ||||
\(417\) | −3207.89 | − | 753.665i | −0.376717 | − | 0.0885063i | ||||
\(418\) | 2542.57 | + | 4403.86i | 0.297515 | + | 0.515310i | ||||
\(419\) | 4370.66 | + | 7570.20i | 0.509596 | + | 0.882646i | 0.999938 | + | 0.0111158i | \(0.00353834\pi\) |
−0.490343 | + | 0.871530i | \(0.663128\pi\) | |||||||
\(420\) | −3153.21 | − | 740.818i | −0.366336 | − | 0.0860672i | ||||
\(421\) | −528.254 | + | 914.963i | −0.0611533 | + | 0.105921i | −0.894981 | − | 0.446104i | \(-0.852811\pi\) |
0.833828 | + | 0.552024i | \(0.186145\pi\) | |||||||
\(422\) | −12175.6 | −1.40450 | ||||||||
\(423\) | 11141.8 | + | 5541.21i | 1.28070 | + | 0.636933i | ||||
\(424\) | −5973.16 | −0.684156 | ||||||||
\(425\) | 3902.56 | − | 6759.44i | 0.445417 | − | 0.771484i | ||||
\(426\) | 7198.58 | + | 23875.0i | 0.818714 | + | 2.71537i | ||||
\(427\) | 497.333 | + | 861.406i | 0.0563645 | + | 0.0976261i | ||||
\(428\) | 3134.09 | + | 5428.40i | 0.353953 | + | 0.613065i | ||||
\(429\) | −1732.59 | + | 1843.65i | −0.194989 | + | 0.207487i | ||||
\(430\) | −270.791 | + | 469.023i | −0.0303690 | + | 0.0526007i | ||||
\(431\) | 9868.64 | 1.10291 | 0.551457 | − | 0.834203i | \(-0.314072\pi\) | ||||
0.551457 | + | 0.834203i | \(0.314072\pi\) | |||||||
\(432\) | −3861.11 | + | 1431.02i | −0.430018 | + | 0.159375i | ||||
\(433\) | 477.948 | 0.0530456 | 0.0265228 | − | 0.999648i | \(-0.491557\pi\) | ||||
0.0265228 | + | 0.999648i | \(0.491557\pi\) | |||||||
\(434\) | −797.769 | + | 1381.78i | −0.0882353 | + | 0.152828i | ||||
\(435\) | −372.619 | + | 396.503i | −0.0410706 | + | 0.0437031i | ||||
\(436\) | −1253.34 | − | 2170.84i | −0.137669 | − | 0.238450i | ||||
\(437\) | −2209.24 | − | 3826.51i | −0.241835 | − | 0.418871i | ||||
\(438\) | 3085.50 | + | 10233.5i | 0.336601 | + | 1.11638i | ||||
\(439\) | 526.239 | − | 911.473i | 0.0572119 | − | 0.0990939i | −0.836001 | − | 0.548728i | \(-0.815112\pi\) |
0.893213 | + | 0.449634i | \(0.148446\pi\) | |||||||
\(440\) | 632.024 | 0.0684786 | ||||||||
\(441\) | 4414.10 | − | 2927.98i | 0.476633 | − | 0.316162i | ||||
\(442\) | −16006.3 | −1.72249 | ||||||||
\(443\) | 5249.35 | − | 9092.14i | 0.562989 | − | 0.975126i | −0.434245 | − | 0.900795i | \(-0.642985\pi\) |
0.997234 | − | 0.0743307i | \(-0.0236820\pi\) | |||||||
\(444\) | −7316.18 | − | 1718.87i | −0.782006 | − | 0.183725i | ||||
\(445\) | −20.3718 | − | 35.2850i | −0.00217015 | − | 0.00375881i | ||||
\(446\) | 94.1300 | + | 163.038i | 0.00999369 | + | 0.0173096i | ||||
\(447\) | 17230.6 | + | 4048.18i | 1.82322 | + | 0.428349i | ||||
\(448\) | 4864.66 | − | 8425.85i | 0.513022 | − | 0.888580i | ||||
\(449\) | −7329.40 | −0.770369 | −0.385184 | − | 0.922840i | \(-0.625862\pi\) | ||||
−0.385184 | + | 0.922840i | \(0.625862\pi\) | |||||||
\(450\) | 10190.2 | − | 6759.44i | 1.06749 | − | 0.708095i | ||||
\(451\) | 3482.39 | 0.363591 | ||||||||
\(452\) | 3841.22 | − | 6653.18i | 0.399725 | − | 0.692344i | ||||
\(453\) | −2625.48 | − | 8707.72i | −0.272308 | − | 0.903144i | ||||
\(454\) | −1493.70 | − | 2587.17i | −0.154412 | − | 0.267449i | ||||
\(455\) | 1362.14 | + | 2359.30i | 0.140347 | + | 0.243089i | ||||
\(456\) | −5627.71 | + | 5988.43i | −0.577942 | + | 0.614987i | ||||
\(457\) | −3572.20 | + | 6187.23i | −0.365646 | + | 0.633318i | −0.988880 | − | 0.148718i | \(-0.952485\pi\) |
0.623233 | + | 0.782036i | \(0.285819\pi\) | |||||||
\(458\) | 18775.9 | 1.91559 | ||||||||
\(459\) | −8137.86 | − | 6747.55i | −0.827544 | − | 0.686163i | ||||
\(460\) | −1958.71 | −0.198533 | ||||||||
\(461\) | −2859.34 | + | 4952.53i | −0.288878 | + | 0.500352i | −0.973542 | − | 0.228507i | \(-0.926616\pi\) |
0.684664 | + | 0.728859i | \(0.259949\pi\) | |||||||
\(462\) | 1889.29 | − | 2010.39i | 0.190255 | − | 0.202450i | ||||
\(463\) | −394.233 | − | 682.831i | −0.0395714 | − | 0.0685397i | 0.845561 | − | 0.533878i | \(-0.179266\pi\) |
−0.885133 | + | 0.465339i | \(0.845933\pi\) | |||||||
\(464\) | −332.068 | − | 575.158i | −0.0332238 | − | 0.0575454i | ||||
\(465\) | 209.058 | + | 693.368i | 0.0208491 | + | 0.0691488i | ||||
\(466\) | −7577.91 | + | 13125.3i | −0.753305 | + | 1.30476i | ||||
\(467\) | −17068.0 | −1.69125 | −0.845626 | − | 0.533776i | \(-0.820772\pi\) | ||||
−0.845626 | + | 0.533776i | \(0.820772\pi\) | |||||||
\(468\) | −13057.1 | − | 6493.75i | −1.28967 | − | 0.641397i | ||||
\(469\) | 8282.72 | 0.815481 | ||||||||
\(470\) | −4662.63 | + | 8075.91i | −0.457598 | + | 0.792583i | ||||
\(471\) | −11020.1 | − | 2589.08i | −1.07809 | − | 0.253288i | ||||
\(472\) | −57.0302 | − | 98.7793i | −0.00556150 | − | 0.00963280i | ||||
\(473\) | −134.123 | − | 232.307i | −0.0130380 | − | 0.0225824i | ||||
\(474\) | −10749.6 | − | 2525.51i | −1.04165 | − | 0.244727i | ||||
\(475\) | −6010.56 | + | 10410.6i | −0.580596 | + | 1.00562i | ||||
\(476\) | 10149.8 | 0.977343 | ||||||||
\(477\) | 734.285 | + | 11811.6i | 0.0704834 | + | 1.13378i | ||||
\(478\) | 24674.4 | 2.36105 | ||||||||
\(479\) | −758.994 | + | 1314.62i | −0.0723994 | + | 0.125399i | −0.899952 | − | 0.435988i | \(-0.856399\pi\) |
0.827553 | + | 0.561388i | \(0.189732\pi\) | |||||||
\(480\) | −1647.59 | − | 5464.43i | −0.156670 | − | 0.519616i | ||||
\(481\) | 3160.48 | + | 5474.11i | 0.299596 | + | 0.518915i | ||||
\(482\) | −14405.4 | − | 24950.9i | −1.36130 | − | 2.35785i | ||||
\(483\) | −1641.60 | + | 1746.82i | −0.154649 | + | 0.164562i | ||||
\(484\) | 6840.00 | − | 11847.2i | 0.642374 | − | 1.11262i | ||||
\(485\) | 3058.80 | 0.286377 | ||||||||
\(486\) | −6708.25 | − | 15142.8i | −0.626116 | − | 1.41336i | ||||
\(487\) | 12737.3 | 1.18518 | 0.592591 | − | 0.805503i | \(-0.298105\pi\) | ||||
0.592591 | + | 0.805503i | \(0.298105\pi\) | |||||||
\(488\) | 559.347 | − | 968.817i | 0.0518861 | − | 0.0898694i | ||||
\(489\) | 7787.30 | − | 8286.44i | 0.720151 | − | 0.766310i | ||||
\(490\) | 1984.74 | + | 3437.68i | 0.182983 | + | 0.316936i | ||||
\(491\) | −2823.85 | − | 4891.05i | −0.259549 | − | 0.449552i | 0.706572 | − | 0.707641i | \(-0.250241\pi\) |
−0.966121 | + | 0.258089i | \(0.916907\pi\) | |||||||
\(492\) | 5794.38 | + | 19217.8i | 0.530957 | + | 1.76099i | ||||
\(493\) | 852.505 | − | 1476.58i | 0.0778801 | − | 0.134892i | ||||
\(494\) | 24652.1 | 2.24525 | ||||||||
\(495\) | −77.6952 | − | 1249.79i | −0.00705483 | − | 0.113482i | ||||
\(496\) | −883.945 | −0.0800208 | ||||||||
\(497\) | −6649.78 | + | 11517.7i | −0.600167 | + | 1.03952i | ||||
\(498\) | −2193.24 | − | 515.281i | −0.197352 | − | 0.0463661i | ||||
\(499\) | −5423.14 | − | 9393.15i | −0.486519 | − | 0.842676i | 0.513361 | − | 0.858173i | \(-0.328400\pi\) |
−0.999880 | + | 0.0154970i | \(0.995067\pi\) | |||||||
\(500\) | 5879.83 | + | 10184.2i | 0.525908 | + | 0.910899i | ||||
\(501\) | −9717.43 | − | 2283.02i | −0.866553 | − | 0.203589i | ||||
\(502\) | −9040.73 | + | 15659.0i | −0.803800 | + | 1.39222i | ||||
\(503\) | −12345.7 | −1.09437 | −0.547186 | − | 0.837011i | \(-0.684301\pi\) | ||||
−0.547186 | + | 0.837011i | \(0.684301\pi\) | |||||||
\(504\) | 3991.94 | + | 1985.32i | 0.352808 | + | 0.175463i | ||||
\(505\) | −2615.23 | −0.230448 | ||||||||
\(506\) | 834.147 | − | 1444.79i | 0.0732853 | − | 0.126934i | ||||
\(507\) | 245.140 | + | 813.036i | 0.0214734 | + | 0.0712193i | ||||
\(508\) | 4979.77 | + | 8625.22i | 0.434925 | + | 0.753311i | ||||
\(509\) | 2947.87 | + | 5105.87i | 0.256704 | + | 0.444624i | 0.965357 | − | 0.260933i | \(-0.0840302\pi\) |
−0.708653 | + | 0.705557i | \(0.750697\pi\) | |||||||
\(510\) | 5425.24 | − | 5772.98i | 0.471046 | − | 0.501239i | ||||
\(511\) | −2850.27 | + | 4936.82i | −0.246749 | + | 0.427381i | ||||
\(512\) | 10166.2 | 0.877514 | ||||||||
\(513\) | 12533.6 | + | 10392.3i | 1.07870 | + | 0.894407i | ||||
\(514\) | −14623.6 | −1.25490 | ||||||||
\(515\) | 2247.18 | − | 3892.23i | 0.192277 | − | 0.333033i | ||||
\(516\) | 1058.83 | − | 1126.70i | 0.0903344 | − | 0.0961245i | ||||
\(517\) | −2309.40 | − | 4000.00i | −0.196455 | − | 0.340270i | ||||
\(518\) | −3446.32 | − | 5969.20i | −0.292322 | − | 0.506316i | ||||
\(519\) | 4754.74 | + | 15769.7i | 0.402139 | + | 1.33374i | ||||
\(520\) | 1531.99 | − | 2653.48i | 0.129196 | − | 0.223775i | ||||
\(521\) | 5211.51 | 0.438235 | 0.219118 | − | 0.975698i | \(-0.429682\pi\) | ||||
0.219118 | + | 0.975698i | \(0.429682\pi\) | |||||||
\(522\) | 2226.03 | − | 1476.58i | 0.186649 | − | 0.123809i | ||||
\(523\) | −9809.86 | −0.820182 | −0.410091 | − | 0.912045i | \(-0.634503\pi\) | ||||
−0.410091 | + | 0.912045i | \(0.634503\pi\) | |||||||
\(524\) | −9198.38 | + | 15932.1i | −0.766857 | + | 1.32824i | ||||
\(525\) | 6348.90 | + | 1491.62i | 0.527788 | + | 0.123999i | ||||
\(526\) | −14256.9 | − | 24693.7i | −1.18181 | − | 2.04695i | ||||
\(527\) | −1134.66 | − | 1965.29i | −0.0937886 | − | 0.162447i | ||||
\(528\) | 1487.90 | + | 349.569i | 0.122638 | + | 0.0288126i | ||||
\(529\) | 5358.71 | − | 9281.56i | 0.440430 | − | 0.762847i | ||||
\(530\) | −8868.62 | −0.726846 | ||||||||
\(531\) | −188.319 | + | 124.917i | −0.0153905 | + | 0.0102089i | ||||
\(532\) | −15632.3 | −1.27396 | ||||||||
\(533\) | 8441.11 | − | 14620.4i | 0.685976 | − | 1.18814i | ||||
\(534\) | 57.7420 | + | 191.509i | 0.00467929 | + | 0.0155195i | ||||
\(535\) | 1304.66 | + | 2259.73i | 0.105430 | + | 0.182611i | ||||
\(536\) | −4657.75 | − | 8067.47i | −0.375344 | − | 0.650115i | ||||
\(537\) | 4870.71 | − | 5182.91i | 0.391409 | − | 0.416497i | ||||
\(538\) | 6350.72 | − | 10999.8i | 0.508920 | − | 0.881476i | ||||
\(539\) | −1966.09 | −0.157116 | ||||||||
\(540\) | 6767.75 | − | 2508.30i | 0.539329 | − | 0.199889i | ||||
\(541\) | 8084.25 | 0.642456 | 0.321228 | − | 0.947002i | \(-0.395904\pi\) | ||||
0.321228 | + | 0.947002i | \(0.395904\pi\) | |||||||
\(542\) | 2919.33 | − | 5056.43i | 0.231358 | − | 0.400724i | ||||
\(543\) | −14060.9 | + | 14962.2i | −1.11125 | + | 1.18248i | ||||
\(544\) | 8942.24 | + | 15488.4i | 0.704771 | + | 1.22070i | ||||
\(545\) | −521.738 | − | 903.677i | −0.0410070 | − | 0.0710262i | ||||
\(546\) | −3860.86 | − | 12805.0i | −0.302618 | − | 1.00367i | ||||
\(547\) | 12033.6 | − | 20842.7i | 0.940617 | − | 1.62920i | 0.176319 | − | 0.984333i | \(-0.443581\pi\) |
0.764298 | − | 0.644863i | \(-0.223086\pi\) | |||||||
\(548\) | −29471.8 | −2.29739 | ||||||||
\(549\) | −1984.54 | − | 986.976i | −0.154277 | − | 0.0767270i | ||||
\(550\) | −4538.84 | −0.351885 | ||||||||
\(551\) | −1312.99 | + | 2274.17i | −0.101516 | + | 0.175831i | ||||
\(552\) | 2624.58 | + | 616.621i | 0.202372 | + | 0.0475455i | ||||
\(553\) | −2944.60 | − | 5100.20i | −0.226433 | − | 0.392193i | ||||
\(554\) | 18310.3 | + | 31714.4i | 1.40421 | + | 2.43216i | ||||
\(555\) | −3045.58 | − | 715.531i | −0.232933 | − | 0.0547254i | ||||
\(556\) | −3524.98 | + | 6105.44i | −0.268871 | + | 0.465698i | ||||
\(557\) | 4582.37 | 0.348584 | 0.174292 | − | 0.984694i | \(-0.444236\pi\) | ||||
0.174292 | + | 0.984694i | \(0.444236\pi\) | |||||||
\(558\) | −220.598 | − | 3548.49i | −0.0167359 | − | 0.269211i | ||||
\(559\) | −1300.42 | −0.0983934 | ||||||||
\(560\) | 822.891 | − | 1425.29i | 0.0620955 | − | 0.107553i | ||||
\(561\) | 1132.72 | + | 3756.79i | 0.0852466 | + | 0.282731i | ||||
\(562\) | 11322.7 | + | 19611.6i | 0.849860 | + | 1.47200i | ||||
\(563\) | 1547.66 | + | 2680.62i | 0.115854 | + | 0.200666i | 0.918121 | − | 0.396300i | \(-0.129706\pi\) |
−0.802267 | + | 0.596966i | \(0.796373\pi\) | |||||||
\(564\) | 18231.6 | − | 19400.2i | 1.36115 | − | 1.44840i | ||||
\(565\) | 1599.02 | − | 2769.59i | 0.119064 | − | 0.206226i | ||||
\(566\) | −13466.9 | −1.00010 | ||||||||
\(567\) | 3435.13 | − | 8137.87i | 0.254430 | − | 0.602749i | ||||
\(568\) | 14957.9 | 1.10496 | ||||||||
\(569\) | −10282.5 | + | 17809.9i | −0.757586 | + | 1.31218i | 0.186492 | + | 0.982456i | \(0.440288\pi\) |
−0.944078 | + | 0.329721i | \(0.893045\pi\) | |||||||
\(570\) | −8355.71 | + | 8891.29i | −0.614004 | + | 0.653360i | ||||
\(571\) | 584.992 | + | 1013.24i | 0.0428742 | + | 0.0742602i | 0.886666 | − | 0.462410i | \(-0.153015\pi\) |
−0.843792 | + | 0.536670i | \(0.819682\pi\) | |||||||
\(572\) | 2706.39 | + | 4687.60i | 0.197832 | + | 0.342655i | ||||
\(573\) | −3603.88 | − | 11952.7i | −0.262748 | − | 0.871435i | ||||
\(574\) | −9204.54 | + | 15942.7i | −0.669320 | + | 1.15930i | ||||
\(575\) | 3943.80 | 0.286031 | ||||||||
\(576\) | 1345.17 | + | 21638.1i | 0.0973069 | + | 1.56526i | ||||
\(577\) | −13073.0 | −0.943214 | −0.471607 | − | 0.881809i | \(-0.656326\pi\) | ||||
−0.471607 | + | 0.881809i | \(0.656326\pi\) | |||||||
\(578\) | −1671.75 | + | 2895.55i | −0.120304 | + | 0.208372i | ||||
\(579\) | 6753.35 | + | 1586.64i | 0.484731 | + | 0.113883i | ||||
\(580\) | 582.049 | + | 1008.14i | 0.0416694 | + | 0.0721735i | ||||
\(581\) | −600.789 | − | 1040.60i | −0.0429000 | − | 0.0743050i | ||||
\(582\) | −14618.6 | − | 3434.51i | −1.04117 | − | 0.244614i | ||||
\(583\) | 2196.31 | − | 3804.13i | 0.156024 | − | 0.270242i | ||||
\(584\) | 6411.36 | 0.454287 | ||||||||
\(585\) | −5435.42 | − | 2703.22i | −0.384149 | − | 0.191050i | ||||
\(586\) | 15954.0 | 1.12466 | ||||||||
\(587\) | 7273.91 | − | 12598.8i | 0.511459 | − | 0.885873i | −0.488453 | − | 0.872590i | \(-0.662439\pi\) |
0.999912 | − | 0.0132825i | \(-0.00422807\pi\) | |||||||
\(588\) | −3271.39 | − | 10850.0i | −0.229438 | − | 0.760961i | ||||
\(589\) | 1747.55 | + | 3026.85i | 0.122252 | + | 0.211747i | ||||
\(590\) | −84.6754 | − | 146.662i | −0.00590852 | − | 0.0102339i | ||||
\(591\) | −9361.80 | + | 9961.87i | −0.651596 | + | 0.693361i | ||||
\(592\) | 1909.30 | − | 3307.00i | 0.132554 | − | 0.229589i | ||||
\(593\) | 19018.0 | 1.31699 | 0.658494 | − | 0.752586i | \(-0.271194\pi\) | ||||
0.658494 | + | 0.752586i | \(0.271194\pi\) | |||||||
\(594\) | −1031.98 | + | 6060.24i | −0.0712840 | + | 0.418611i | ||||
\(595\) | 4225.16 | 0.291117 | ||||||||
\(596\) | 18933.8 | − | 32794.3i | 1.30127 | − | 2.25387i | ||||
\(597\) | 8815.43 | − | 9380.47i | 0.604341 | − | 0.643077i | ||||
\(598\) | −4043.84 | − | 7004.14i | −0.276530 | − | 0.478964i | ||||
\(599\) | −5587.20 | − | 9677.32i | −0.381113 | − | 0.660108i | 0.610108 | − | 0.792318i | \(-0.291126\pi\) |
−0.991222 | + | 0.132210i | \(0.957793\pi\) | |||||||
\(600\) | −2117.42 | − | 7022.70i | −0.144073 | − | 0.477834i | ||||
\(601\) | −2294.27 | + | 3973.79i | −0.155716 | + | 0.269708i | −0.933319 | − | 0.359047i | \(-0.883102\pi\) |
0.777604 | + | 0.628755i | \(0.216435\pi\) | |||||||
\(602\) | 1418.03 | 0.0960045 | ||||||||
\(603\) | −15380.3 | + | 10202.2i | −1.03870 | + | 0.688995i | ||||
\(604\) | −19458.0 | −1.31082 | ||||||||
\(605\) | 2847.35 | − | 4931.76i | 0.191341 | − | 0.331413i | ||||
\(606\) | 12498.7 | + | 2936.46i | 0.837832 | + | 0.196841i | ||||
\(607\) | 5744.99 | + | 9950.61i | 0.384155 | + | 0.665375i | 0.991652 | − | 0.128947i | \(-0.0411596\pi\) |
−0.607497 | + | 0.794322i | \(0.707826\pi\) | |||||||
\(608\) | −13772.5 | − | 23854.6i | −0.918662 | − | 1.59117i | ||||
\(609\) | 1386.90 | + | 325.840i | 0.0922825 | + | 0.0216809i | ||||
\(610\) | 830.487 | − | 1438.45i | 0.0551237 | − | 0.0954770i | ||||
\(611\) | −22391.4 | −1.48258 | ||||||||
\(612\) | −18847.4 | + | 12501.9i | −1.24487 | + | 0.825752i | ||||
\(613\) | −22966.9 | −1.51326 | −0.756628 | − | 0.653846i | \(-0.773154\pi\) | ||||
−0.756628 | + | 0.653846i | \(0.773154\pi\) | |||||||
\(614\) | 7518.69 | − | 13022.7i | 0.494185 | − | 0.855953i | ||||
\(615\) | 2412.08 | + | 7999.98i | 0.158154 | + | 0.524537i | ||||
\(616\) | −827.420 | − | 1433.13i | −0.0541197 | − | 0.0937380i | ||||
\(617\) | 4248.31 | + | 7358.29i | 0.277197 | + | 0.480120i | 0.970687 | − | 0.240347i | \(-0.0772612\pi\) |
−0.693490 | + | 0.720466i | \(0.743928\pi\) | |||||||
\(618\) | −15110.1 | + | 16078.6i | −0.983521 | + | 1.04656i | ||||
\(619\) | −7169.94 | + | 12418.7i | −0.465564 | + | 0.806381i | −0.999227 | − | 0.0393163i | \(-0.987482\pi\) |
0.533662 | + | 0.845698i | \(0.320815\pi\) | |||||||
\(620\) | 1549.38 | 0.100362 | ||||||||
\(621\) | 896.688 | − | 5265.74i | 0.0579434 | − | 0.340269i | ||||
\(622\) | 31372.6 | 2.02239 | ||||||||
\(623\) | −53.3399 | + | 92.3874i | −0.00343021 | + | 0.00594129i | ||||
\(624\) | 5074.21 | − | 5399.46i | 0.325531 | − | 0.346396i | ||||
\(625\) | −4026.36 | − | 6973.86i | −0.257687 | − | 0.446327i | ||||
\(626\) | 10618.7 | + | 18392.2i | 0.677971 | + | 1.17428i | ||||
\(627\) | −1744.56 | − | 5786.05i | −0.111118 | − | 0.368537i | ||||
\(628\) | −12109.4 | + | 20974.1i | −0.769456 | + | 1.33274i | ||||
\(629\) | 9803.34 | 0.621439 | ||||||||
\(630\) | 5927.01 | + | 2947.70i | 0.374822 | + | 0.186411i | ||||
\(631\) | 17834.3 | 1.12516 | 0.562578 | − | 0.826744i | \(-0.309810\pi\) | ||||
0.562578 | + | 0.826744i | \(0.309810\pi\) | |||||||
\(632\) | −3311.77 | + | 5736.16i | −0.208442 | + | 0.361032i | ||||
\(633\) | 14086.3 | + | 3309.46i | 0.884489 | + | 0.207803i | ||||
\(634\) | −16500.8 | − | 28580.3i | −1.03365 | − | 1.79033i | ||||
\(635\) | 2072.98 | + | 3590.51i | 0.129549 | + | 0.224386i | ||||
\(636\) | 24647.8 | + | 5790.77i | 1.53671 | + | 0.361036i | ||||
\(637\) | −4765.68 | + | 8254.39i | −0.296425 | + | 0.513424i | ||||
\(638\) | −991.499 | −0.0615264 | ||||||||
\(639\) | −1838.79 | − | 29578.3i | −0.113836 | − | 1.83114i | ||||
\(640\) | −7459.69 | −0.460735 | ||||||||
\(641\) | −13173.0 | + | 22816.3i | −0.811705 | + | 1.40591i | 0.0999654 | + | 0.994991i | \(0.468127\pi\) |
−0.911670 | + | 0.410923i | \(0.865207\pi\) | |||||||
\(642\) | −3697.93 | − | 12264.7i | −0.227330 | − | 0.753968i | ||||
\(643\) | 10782.5 | + | 18675.9i | 0.661309 | + | 1.14542i | 0.980272 | + | 0.197653i | \(0.0633321\pi\) |
−0.318963 | + | 0.947767i | \(0.603335\pi\) | |||||||
\(644\) | 2564.26 | + | 4441.43i | 0.156904 | + | 0.271765i | ||||
\(645\) | 440.771 | − | 469.023i | 0.0269075 | − | 0.0286322i | ||||
\(646\) | 19116.8 | − | 33111.3i | 1.16431 | − | 2.01664i | ||||
\(647\) | 4186.32 | 0.254376 | 0.127188 | − | 0.991879i | \(-0.459405\pi\) | ||||
0.127188 | + | 0.991879i | \(0.459405\pi\) | |||||||
\(648\) | −9858.11 | + | 1230.45i | −0.597629 | + | 0.0745934i | ||||
\(649\) | 83.8794 | 0.00507328 | ||||||||
\(650\) | −11001.9 | + | 19055.8i | −0.663891 | + | 1.14989i | ||||
\(651\) | 1298.54 | − | 1381.78i | 0.0781781 | − | 0.0831891i | ||||
\(652\) | −12164.1 | − | 21068.9i | −0.730650 | − | 1.26552i | ||||
\(653\) | −1402.57 | − | 2429.33i | −0.0840534 | − | 0.145585i | 0.820934 | − | 0.571023i | \(-0.193453\pi\) |
−0.904987 | + | 0.425438i | \(0.860120\pi\) | |||||||
\(654\) | 1478.82 | + | 4904.69i | 0.0884196 | + | 0.293255i | ||||
\(655\) | −3829.10 | + | 6632.20i | −0.228420 | + | 0.395636i | ||||
\(656\) | −10198.8 | −0.607008 | ||||||||
\(657\) | −788.153 | − | 12678.1i | −0.0468018 | − | 0.752844i | ||||
\(658\) | 24416.5 | 1.44659 | ||||||||
\(659\) | 9536.15 | − | 16517.1i | 0.563696 | − | 0.976350i | −0.433474 | − | 0.901166i | \(-0.642712\pi\) |
0.997170 | − | 0.0751839i | \(-0.0239544\pi\) | |||||||
\(660\) | −2608.00 | − | 612.725i | −0.153812 | − | 0.0361368i | ||||
\(661\) | 12256.5 | + | 21228.9i | 0.721216 | + | 1.24918i | 0.960513 | + | 0.278237i | \(0.0897500\pi\) |
−0.239296 | + | 0.970947i | \(0.576917\pi\) | |||||||
\(662\) | 6842.00 | + | 11850.7i | 0.401695 | + | 0.695756i | ||||
\(663\) | 18518.1 | + | 4350.66i | 1.08474 | + | 0.254850i | ||||
\(664\) | −675.702 | + | 1170.35i | −0.0394915 | + | 0.0684012i | ||||
\(665\) | −6507.40 | −0.379468 | ||||||||
\(666\) | 13752.0 | + | 6839.35i | 0.800122 | + | 0.397927i | ||||
\(667\) | 861.513 | 0.0500119 | ||||||||
\(668\) | −10678.0 | + | 18494.8i | −0.618477 | + | 1.07123i | ||||
\(669\) | −64.5864 | − | 214.209i | −0.00373252 | − | 0.0123794i | ||||
\(670\) | −6915.58 | − | 11978.1i | −0.398764 | − | 0.690680i | ||||
\(671\) | 411.340 | + | 712.462i | 0.0236656 | + | 0.0409900i | ||||
\(672\) | −10233.8 | + | 10889.8i | −0.587467 | + | 0.625122i | ||||
\(673\) | 1773.32 | − | 3071.49i | 0.101570 | − | 0.175924i | −0.810762 | − | 0.585376i | \(-0.800947\pi\) |
0.912332 | + | 0.409452i | \(0.134280\pi\) | |||||||
\(674\) | −40356.1 | −2.30632 | ||||||||
\(675\) | −13626.7 | + | 5050.38i | −0.777023 | + | 0.287984i | ||||
\(676\) | 1816.79 | 0.103367 | ||||||||
\(677\) | −8937.50 | + | 15480.2i | −0.507380 | + | 0.878807i | 0.492584 | + | 0.870265i | \(0.336052\pi\) |
−0.999964 | + | 0.00854232i | \(0.997281\pi\) | |||||||
\(678\) | −10751.8 | + | 11441.0i | −0.609030 | + | 0.648067i | ||||
\(679\) | −4004.45 | − | 6935.91i | −0.226328 | − | 0.392012i | ||||
\(680\) | −2376.00 | − | 4115.35i | −0.133993 | − | 0.232083i | ||||
\(681\) | 1024.89 | + | 3399.18i | 0.0576709 | + | 0.191273i | ||||
\(682\) | −659.829 | + | 1142.86i | −0.0370471 | + | 0.0641675i | ||||
\(683\) | 2857.23 | 0.160072 | 0.0800358 | − | 0.996792i | \(-0.474497\pi\) | ||||
0.0800358 | + | 0.996792i | \(0.474497\pi\) | |||||||
\(684\) | 29027.9 | − | 19254.9i | 1.62267 | − | 1.07636i | ||||
\(685\) | −12268.5 | −0.684315 | ||||||||
\(686\) | 14282.5 | − | 24737.9i | 0.794908 | − | 1.37682i | ||||
\(687\) | −21722.4 | − | 5103.48i | −1.20635 | − | 0.283421i | ||||
\(688\) | 392.803 | + | 680.354i | 0.0217667 | + | 0.0377010i | ||||
\(689\) | −10647.5 | − | 18441.9i | −0.588732 | − | 1.01971i | ||||
\(690\) | 3896.83 | + | 915.524i | 0.215000 | + | 0.0505122i | ||||
\(691\) | 7813.79 | − | 13533.9i | 0.430175 | − | 0.745084i | −0.566714 | − | 0.823915i | \(-0.691785\pi\) |
0.996888 | + | 0.0788308i | \(0.0251187\pi\) | |||||||
\(692\) | 35238.5 | 1.93579 | ||||||||
\(693\) | −2732.22 | + | 1812.35i | −0.149767 | + | 0.0993441i | ||||
\(694\) | −35434.7 | −1.93816 | ||||||||
\(695\) | −1467.38 | + | 2541.57i | −0.0800874 | + | 0.138716i | ||||
\(696\) | −462.546 | − | 1534.09i | −0.0251908 | − | 0.0835483i | ||||
\(697\) | −13091.5 | − | 22675.2i | −0.711445 | − | 1.23226i | ||||
\(698\) | −6725.49 | − | 11648.9i | −0.364704 | − | 0.631687i | ||||
\(699\) | 12334.7 | − | 13125.3i | 0.667442 | − | 0.710223i | ||||
\(700\) | 6976.45 | − | 12083.6i | 0.376693 | − | 0.652451i | ||||
\(701\) | 17562.6 | 0.946264 | 0.473132 | − | 0.880992i | \(-0.343123\pi\) | ||||
0.473132 | + | 0.880992i | \(0.343123\pi\) | |||||||
\(702\) | 22941.8 | + | 19022.3i | 1.23345 | + | 1.02272i | ||||
\(703\) | −15098.7 | −0.810039 | ||||||||
\(704\) | 4023.53 | − | 6968.95i | 0.215401 | − | 0.373086i | ||||
\(705\) | 7589.44 | − | 8075.91i | 0.405440 | − | 0.431427i | ||||
\(706\) | 13445.0 | + | 23287.3i | 0.716724 | + | 1.24140i | ||||
\(707\) | 3423.75 | + | 5930.11i | 0.182126 | + | 0.315452i | ||||
\(708\) | 139.568 | + | 462.893i | 0.00740858 | + | 0.0245715i | ||||
\(709\) | −10001.8 | + | 17323.6i | −0.529795 | + | 0.917632i | 0.469601 | + | 0.882879i | \(0.344398\pi\) |
−0.999396 | + | 0.0347532i | \(0.988935\pi\) | |||||||
\(710\) | 22208.7 | 1.17391 | ||||||||
\(711\) | 11750.0 | + | 5843.68i | 0.619775 | + | 0.308235i | ||||
\(712\) | 119.982 | 0.00631533 | ||||||||
\(713\) | 573.324 | − | 993.027i | 0.0301138 | − | 0.0521587i | ||||
\(714\) | −20192.9 | − | 4744.14i | −1.05840 | − | 0.248663i | ||||
\(715\) | 1126.62 | + | 1951.36i | 0.0589273 | + | 0.102065i | ||||
\(716\) | −7608.27 | − | 13177.9i | −0.397115 | − | 0.687824i | ||||
\(717\) | −28546.6 | − | 6706.75i | −1.48688 | − | 0.349328i | ||||
\(718\) | −7231.62 | + | 12525.5i | −0.375880 | + | 0.651043i | ||||
\(719\) | 25504.1 | 1.32287 | 0.661435 | − | 0.750002i | \(-0.269948\pi\) | ||||
0.661435 | + | 0.750002i | \(0.269948\pi\) | |||||||
\(720\) | 227.545 | + | 3660.24i | 0.0117779 | + | 0.189457i | ||||
\(721\) | −11767.7 | −0.607837 | ||||||||
\(722\) | −14448.1 | + | 25024.9i | −0.744743 | + | 1.28993i | ||||
\(723\) | 9884.14 | + | 32782.0i | 0.508430 | + | 1.68627i | ||||
\(724\) | 21963.8 | + | 38042.4i | 1.12746 | + | 1.95281i | ||||
\(725\) | −1171.94 | − | 2029.85i | −0.0600340 | − | 0.103982i | ||||
\(726\) | −19145.6 | + | 20372.8i | −0.978735 | + | 1.04147i | ||||
\(727\) | 11954.9 | − | 20706.5i | 0.609879 | − | 1.05634i | −0.381380 | − | 0.924418i | \(-0.624551\pi\) |
0.991260 | − | 0.131924i | \(-0.0421155\pi\) | |||||||
\(728\) | −8022.47 | −0.408424 | ||||||||
\(729\) | 3645.00 | + | 19342.6i | 0.185185 | + | 0.982704i | ||||
\(730\) | 9519.23 | 0.482634 | ||||||||
\(731\) | −1008.43 | + | 1746.65i | −0.0510233 | + | 0.0883750i | ||||
\(732\) | −3247.33 | + | 3455.48i | −0.163968 | + | 0.174478i | ||||
\(733\) | 4252.77 | + | 7366.02i | 0.214297 | + | 0.371173i | 0.953055 | − | 0.302798i | \(-0.0979206\pi\) |
−0.738758 | + | 0.673971i | \(0.764587\pi\) | |||||||
\(734\) | −6447.57 | − | 11167.5i | −0.324229 | − | 0.561581i | ||||
\(735\) | −1361.81 | − | 4516.62i | −0.0683418 | − | 0.226664i | ||||
\(736\) | −4518.36 | + | 7826.04i | −0.226290 | + | 0.391945i | ||||
\(737\) | 6850.57 | 0.342394 | ||||||||
\(738\) | −2545.22 | − | 40942.0i | −0.126953 | − | 2.04213i | ||||
\(739\) | 25802.5 | 1.28438 | 0.642192 | − | 0.766544i | \(-0.278025\pi\) | ||||
0.642192 | + | 0.766544i | \(0.278025\pi\) | |||||||
\(740\) | −3346.62 | + | 5796.52i | −0.166249 | + | 0.287952i | ||||
\(741\) | −28520.8 | − | 6700.70i | −1.41395 | − | 0.332195i | ||||
\(742\) | 11610.4 | + | 20109.9i | 0.574437 | + | 0.994955i | ||||
\(743\) | −13668.8 | − | 23675.0i | −0.674911 | − | 1.16898i | −0.976495 | − | 0.215541i | \(-0.930849\pi\) |
0.301584 | − | 0.953440i | \(-0.402485\pi\) | |||||||
\(744\) | −2076.10 | − | 487.760i | −0.102303 | − | 0.0240352i | ||||
\(745\) | 7881.75 | − | 13651.6i | 0.387604 | − | 0.671350i | ||||
\(746\) | 5087.50 | 0.249687 | ||||||||
\(747\) | 2397.36 | + | 1192.29i | 0.117423 | + | 0.0583983i | ||||
\(748\) | 8394.82 | 0.410354 | ||||||||
\(749\) | 3416.01 | − | 5916.71i | 0.166647 | − | 0.288641i | ||||
\(750\) | −6937.65 | − | 23009.6i | −0.337770 | − | 1.12026i | ||||
\(751\) | −1668.32 | − | 2889.61i | −0.0810623 | − | 0.140404i | 0.822644 | − | 0.568557i | \(-0.192498\pi\) |
−0.903706 | + | 0.428153i | \(0.859165\pi\) | |||||||
\(752\) | 6763.50 | + | 11714.7i | 0.327978 | + | 0.568075i | ||||
\(753\) | 14715.8 | − | 15659.0i | 0.712181 | − | 0.757830i | ||||
\(754\) | −2403.33 | + | 4162.70i | −0.116080 | + | 0.201056i | ||||
\(755\) | −8099.98 | −0.390448 | ||||||||
\(756\) | −14547.7 | − | 12062.3i | −0.699861 | − | 0.580294i | ||||
\(757\) | 33149.5 | 1.59160 | 0.795798 | − | 0.605562i | \(-0.207052\pi\) | ||||
0.795798 | + | 0.605562i | \(0.207052\pi\) | |||||||
\(758\) | 8781.01 | − | 15209.2i | 0.420766 | − | 0.728788i | ||||
\(759\) | −1357.76 | + | 1444.79i | −0.0649321 | + | 0.0690940i | ||||
\(760\) | 3659.41 | + | 6338.29i | 0.174659 | + | 0.302518i | ||||
\(761\) | 5498.42 | + | 9523.54i | 0.261915 | + | 0.453651i | 0.966751 | − | 0.255720i | \(-0.0823125\pi\) |
−0.704836 | + | 0.709371i | \(0.748979\pi\) | |||||||
\(762\) | −5875.67 | − | 19487.4i | −0.279335 | − | 0.926448i | ||||
\(763\) | −1366.08 | + | 2366.12i | −0.0648169 | + | 0.112266i | ||||
\(764\) | −26709.2 | −1.26480 | ||||||||
\(765\) | −7845.77 | + | 5204.30i | −0.370803 | + | 0.245963i | ||||
\(766\) |