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 | 7.2 | ||
Root | \(-1.18614 + 1.26217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9.7 |
Dual form | 9.4.c.a.4.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.686141 | − | 1.18843i | 0.242587 | − | 0.420174i | −0.718863 | − | 0.695152i | \(-0.755337\pi\) |
0.961451 | + | 0.274978i | \(0.0886706\pi\) | |||||||
\(3\) | −5.05842 | + | 1.18843i | −0.973494 | + | 0.228714i | ||||
\(4\) | 3.05842 | + | 5.29734i | 0.382303 | + | 0.662168i | ||||
\(5\) | −5.18614 | − | 8.98266i | −0.463863 | − | 0.803433i | 0.535287 | − | 0.844670i | \(-0.320204\pi\) |
−0.999149 | + | 0.0412369i | \(0.986870\pi\) | |||||||
\(6\) | −2.05842 | + | 6.82701i | −0.140058 | + | 0.464519i | ||||
\(7\) | 2.55842 | − | 4.43132i | 0.138142 | − | 0.239269i | −0.788651 | − | 0.614841i | \(-0.789220\pi\) |
0.926793 | + | 0.375572i | \(0.122554\pi\) | |||||||
\(8\) | 19.3723 | 0.856142 | ||||||||
\(9\) | 24.1753 | − | 12.0232i | 0.895380 | − | 0.445302i | ||||
\(10\) | −14.2337 | −0.450109 | ||||||||
\(11\) | −27.9891 | + | 48.4786i | −0.767185 | + | 1.32880i | 0.171898 | + | 0.985115i | \(0.445010\pi\) |
−0.939083 | + | 0.343689i | \(0.888323\pi\) | |||||||
\(12\) | −21.7663 | − | 23.1615i | −0.523616 | − | 0.557178i | ||||
\(13\) | −18.7921 | − | 32.5489i | −0.400923 | − | 0.694418i | 0.592915 | − | 0.805265i | \(-0.297977\pi\) |
−0.993838 | + | 0.110847i | \(0.964644\pi\) | |||||||
\(14\) | −3.51087 | − | 6.08101i | −0.0670229 | − | 0.116087i | ||||
\(15\) | 36.9090 | + | 39.2747i | 0.635323 | + | 0.676046i | ||||
\(16\) | −11.1753 | + | 19.3561i | −0.174614 | + | 0.302440i | ||||
\(17\) | 23.6495 | 0.337402 | 0.168701 | − | 0.985667i | \(-0.446043\pi\) | ||||
0.168701 | + | 0.985667i | \(0.446043\pi\) | |||||||
\(18\) | 2.29894 | − | 36.9802i | 0.0301036 | − | 0.484240i | ||||
\(19\) | 39.0516 | 0.471529 | 0.235764 | − | 0.971810i | \(-0.424241\pi\) | ||||
0.235764 | + | 0.971810i | \(0.424241\pi\) | |||||||
\(20\) | 31.7228 | − | 54.9455i | 0.354672 | − | 0.614310i | ||||
\(21\) | −7.67527 | + | 25.4560i | −0.0797562 | + | 0.264521i | ||||
\(22\) | 38.4090 | + | 66.5263i | 0.372219 | + | 0.644702i | ||||
\(23\) | −35.5367 | − | 61.5513i | −0.322170 | − | 0.558015i | 0.658766 | − | 0.752348i | \(-0.271079\pi\) |
−0.980936 | + | 0.194334i | \(0.937746\pi\) | |||||||
\(24\) | −97.9932 | + | 23.0226i | −0.833449 | + | 0.195811i | ||||
\(25\) | 8.70789 | − | 15.0825i | 0.0696631 | − | 0.120660i | ||||
\(26\) | −51.5761 | −0.389035 | ||||||||
\(27\) | −108.000 | + | 89.5489i | −0.769800 | + | 0.638285i | ||||
\(28\) | 31.2989 | 0.211248 | ||||||||
\(29\) | 14.1861 | − | 24.5711i | 0.0908379 | − | 0.157336i | −0.817026 | − | 0.576601i | \(-0.804379\pi\) |
0.907864 | + | 0.419265i | \(0.137712\pi\) | |||||||
\(30\) | 72.0000 | − | 16.9157i | 0.438178 | − | 0.102946i | ||||
\(31\) | −6.44158 | − | 11.1571i | −0.0373207 | − | 0.0646413i | 0.846762 | − | 0.531972i | \(-0.178549\pi\) |
−0.884082 | + | 0.467331i | \(0.845216\pi\) | |||||||
\(32\) | 92.8247 | + | 160.777i | 0.512789 | + | 0.888177i | ||||
\(33\) | 83.9674 | − | 278.488i | 0.442935 | − | 1.46905i | ||||
\(34\) | 16.2269 | − | 28.1057i | 0.0818495 | − | 0.141768i | ||||
\(35\) | −53.0733 | −0.256315 | ||||||||
\(36\) | 137.629 | + | 91.2927i | 0.637171 | + | 0.422652i | ||||
\(37\) | −180.103 | −0.800237 | −0.400119 | − | 0.916463i | \(-0.631031\pi\) | ||||
−0.400119 | + | 0.916463i | \(0.631031\pi\) | |||||||
\(38\) | 26.7949 | − | 46.4101i | 0.114387 | − | 0.198124i | ||||
\(39\) | 133.741 | + | 142.313i | 0.549119 | + | 0.584315i | ||||
\(40\) | −100.467 | − | 174.015i | −0.397132 | − | 0.687853i | ||||
\(41\) | 107.742 | + | 186.614i | 0.410401 | + | 0.710835i | 0.994934 | − | 0.100535i | \(-0.0320554\pi\) |
−0.584533 | + | 0.811370i | \(0.698722\pi\) | |||||||
\(42\) | 24.9863 | + | 26.5879i | 0.0917971 | + | 0.0976810i | ||||
\(43\) | −30.6168 | + | 53.0299i | −0.108582 | + | 0.188069i | −0.915196 | − | 0.403009i | \(-0.867964\pi\) |
0.806614 | + | 0.591078i | \(0.201298\pi\) | |||||||
\(44\) | −342.410 | −1.17319 | ||||||||
\(45\) | −233.376 | − | 154.804i | −0.773104 | − | 0.512819i | ||||
\(46\) | −97.5326 | −0.312617 | ||||||||
\(47\) | 30.9388 | − | 53.5876i | 0.0960189 | − | 0.166310i | −0.814014 | − | 0.580845i | \(-0.802722\pi\) |
0.910033 | + | 0.414535i | \(0.136056\pi\) | |||||||
\(48\) | 33.5258 | − | 111.192i | 0.100813 | − | 0.334359i | ||||
\(49\) | 158.409 | + | 274.372i | 0.461834 | + | 0.799919i | ||||
\(50\) | −11.9497 | − | 20.6974i | −0.0337988 | − | 0.0585412i | ||||
\(51\) | −119.629 | + | 28.1057i | −0.328459 | + | 0.0771685i | ||||
\(52\) | 114.948 | − | 199.096i | 0.306548 | − | 0.530956i | ||||
\(53\) | 492.310 | 1.27592 | 0.637962 | − | 0.770068i | \(-0.279778\pi\) | ||||
0.637962 | + | 0.770068i | \(0.279778\pi\) | |||||||
\(54\) | 32.3194 | + | 189.794i | 0.0814466 | + | 0.478290i | ||||
\(55\) | 580.622 | 1.42347 | ||||||||
\(56\) | 49.5625 | − | 85.8447i | 0.118269 | − | 0.204848i | ||||
\(57\) | −197.539 | + | 46.4101i | −0.459031 | + | 0.107845i | ||||
\(58\) | −19.4674 | − | 33.7185i | −0.0440723 | − | 0.0763354i | ||||
\(59\) | −394.815 | − | 683.840i | −0.871196 | − | 1.50896i | −0.860761 | − | 0.509010i | \(-0.830012\pi\) |
−0.0104351 | − | 0.999946i | \(-0.503322\pi\) | |||||||
\(60\) | −95.1684 | + | 315.638i | −0.204770 | + | 0.679145i | ||||
\(61\) | −260.545 | + | 451.277i | −0.546874 | + | 0.947214i | 0.451612 | + | 0.892214i | \(0.350849\pi\) |
−0.998486 | + | 0.0549998i | \(0.982484\pi\) | |||||||
\(62\) | −17.6793 | −0.0362141 | ||||||||
\(63\) | 8.57207 | − | 137.889i | 0.0171425 | − | 0.275751i | ||||
\(64\) | 75.9590 | 0.148358 | ||||||||
\(65\) | −194.917 | + | 337.606i | −0.371946 | + | 0.644229i | ||||
\(66\) | −273.351 | − | 290.872i | −0.509805 | − | 0.542482i | ||||
\(67\) | −152.215 | − | 263.644i | −0.277552 | − | 0.480734i | 0.693224 | − | 0.720722i | \(-0.256190\pi\) |
−0.970776 | + | 0.239988i | \(0.922856\pi\) | |||||||
\(68\) | 72.3301 | + | 125.279i | 0.128990 | + | 0.223417i | ||||
\(69\) | 252.909 | + | 269.120i | 0.441256 | + | 0.469539i | ||||
\(70\) | −36.4158 | + | 63.0740i | −0.0621788 | + | 0.107697i | ||||
\(71\) | 270.391 | 0.451966 | 0.225983 | − | 0.974131i | \(-0.427441\pi\) | ||||
0.225983 | + | 0.974131i | \(0.427441\pi\) | |||||||
\(72\) | 468.330 | − | 232.916i | 0.766573 | − | 0.381242i | ||||
\(73\) | −925.464 | −1.48380 | −0.741900 | − | 0.670510i | \(-0.766075\pi\) | ||||
−0.741900 | + | 0.670510i | \(0.766075\pi\) | |||||||
\(74\) | −123.576 | + | 214.040i | −0.194127 | + | 0.336239i | ||||
\(75\) | −26.1237 | + | 86.6424i | −0.0402200 | + | 0.133395i | ||||
\(76\) | 119.436 | + | 206.870i | 0.180267 | + | 0.312231i | ||||
\(77\) | 143.216 | + | 248.057i | 0.211961 | + | 0.367127i | ||||
\(78\) | 260.894 | − | 61.2946i | 0.378723 | − | 0.0889776i | ||||
\(79\) | 644.517 | − | 1116.34i | 0.917897 | − | 1.58984i | 0.115294 | − | 0.993331i | \(-0.463219\pi\) |
0.802603 | − | 0.596513i | \(-0.203448\pi\) | |||||||
\(80\) | 231.826 | 0.323987 | ||||||||
\(81\) | 439.887 | − | 581.326i | 0.603411 | − | 0.797430i | ||||
\(82\) | 295.704 | 0.398232 | ||||||||
\(83\) | −356.917 | + | 618.198i | −0.472009 | + | 0.817543i | −0.999487 | − | 0.0320252i | \(-0.989804\pi\) |
0.527478 | + | 0.849569i | \(0.323138\pi\) | |||||||
\(84\) | −158.323 | + | 37.1966i | −0.205649 | + | 0.0483153i | ||||
\(85\) | −122.649 | − | 212.435i | −0.156508 | − | 0.271080i | ||||
\(86\) | 42.0149 | + | 72.7720i | 0.0526812 | + | 0.0912466i | ||||
\(87\) | −42.5584 | + | 141.150i | −0.0524453 | + | 0.173941i | ||||
\(88\) | −542.213 | + | 939.141i | −0.656820 | + | 1.13764i | ||||
\(89\) | −404.804 | −0.482125 | −0.241063 | − | 0.970510i | \(-0.577496\pi\) | ||||
−0.241063 | + | 0.970510i | \(0.577496\pi\) | |||||||
\(90\) | −344.103 | + | 171.134i | −0.403018 | + | 0.200435i | ||||
\(91\) | −192.313 | −0.221537 | ||||||||
\(92\) | 217.372 | − | 376.500i | 0.246333 | − | 0.426661i | ||||
\(93\) | 45.8437 | + | 48.7822i | 0.0511158 | + | 0.0543922i | ||||
\(94\) | −42.4567 | − | 73.5372i | −0.0465859 | − | 0.0806892i | ||||
\(95\) | −202.527 | − | 350.787i | −0.218725 | − | 0.378842i | ||||
\(96\) | −660.619 | − | 702.963i | −0.702335 | − | 0.747353i | ||||
\(97\) | −37.5137 | + | 64.9756i | −0.0392674 | + | 0.0680131i | −0.884991 | − | 0.465608i | \(-0.845836\pi\) |
0.845724 | + | 0.533621i | \(0.179169\pi\) | |||||||
\(98\) | 434.763 | 0.448140 | ||||||||
\(99\) | −93.7785 | + | 1508.50i | −0.0952029 | + | 1.53141i | ||||
\(100\) | 106.530 | 0.106530 | ||||||||
\(101\) | 543.939 | − | 942.130i | 0.535881 | − | 0.928172i | −0.463240 | − | 0.886233i | \(-0.653313\pi\) |
0.999120 | − | 0.0419392i | \(-0.0133536\pi\) | |||||||
\(102\) | −48.6806 | + | 161.455i | −0.0472558 | + | 0.156730i | ||||
\(103\) | 545.909 | + | 945.542i | 0.522233 | + | 0.904534i | 0.999665 | + | 0.0258657i | \(0.00823423\pi\) |
−0.477432 | + | 0.878669i | \(0.658432\pi\) | |||||||
\(104\) | −364.046 | − | 630.546i | −0.343247 | − | 0.594521i | ||||
\(105\) | 268.467 | − | 63.0740i | 0.249521 | − | 0.0586228i | ||||
\(106\) | 337.794 | − | 585.076i | 0.309523 | − | 0.536109i | ||||
\(107\) | −1029.15 | −0.929833 | −0.464917 | − | 0.885354i | \(-0.653916\pi\) | ||||
−0.464917 | + | 0.885354i | \(0.653916\pi\) | |||||||
\(108\) | −804.681 | − | 298.235i | −0.716948 | − | 0.265719i | ||||
\(109\) | 1776.52 | 1.56110 | 0.780548 | − | 0.625096i | \(-0.214940\pi\) | ||||
0.780548 | + | 0.625096i | \(0.214940\pi\) | |||||||
\(110\) | 398.388 | − | 690.029i | 0.345317 | − | 0.598106i | ||||
\(111\) | 911.038 | − | 214.040i | 0.779026 | − | 0.183025i | ||||
\(112\) | 57.1821 | + | 99.0423i | 0.0482429 | + | 0.0835591i | ||||
\(113\) | 807.969 | + | 1399.44i | 0.672631 | + | 1.16503i | 0.977155 | + | 0.212526i | \(0.0681692\pi\) |
−0.304524 | + | 0.952505i | \(0.598498\pi\) | |||||||
\(114\) | −80.3847 | + | 266.606i | −0.0660413 | + | 0.219034i | ||||
\(115\) | −368.596 | + | 638.428i | −0.298885 | + | 0.517684i | ||||
\(116\) | 173.549 | 0.138910 | ||||||||
\(117\) | −845.645 | − | 560.937i | −0.668204 | − | 0.443237i | ||||
\(118\) | −1083.59 | −0.845364 | ||||||||
\(119\) | 60.5053 | − | 104.798i | 0.0466094 | − | 0.0807298i | ||||
\(120\) | 715.011 | + | 760.841i | 0.543927 | + | 0.578791i | ||||
\(121\) | −901.282 | − | 1561.07i | −0.677147 | − | 1.17285i | ||||
\(122\) | 357.541 | + | 619.279i | 0.265330 | + | 0.459564i | ||||
\(123\) | −766.781 | − | 815.930i | −0.562100 | − | 0.598130i | ||||
\(124\) | 39.4021 | − | 68.2465i | 0.0285356 | − | 0.0494251i | ||||
\(125\) | −1477.18 | −1.05698 | ||||||||
\(126\) | −157.989 | − | 104.798i | −0.111705 | − | 0.0740966i | ||||
\(127\) | −1206.10 | −0.842711 | −0.421356 | − | 0.906895i | \(-0.638446\pi\) | ||||
−0.421356 | + | 0.906895i | \(0.638446\pi\) | |||||||
\(128\) | −690.479 | + | 1195.95i | −0.476799 | + | 0.825841i | ||||
\(129\) | 91.8505 | − | 304.634i | 0.0626898 | − | 0.207919i | ||||
\(130\) | 267.481 | + | 463.291i | 0.180459 | + | 0.312564i | ||||
\(131\) | 513.928 | + | 890.149i | 0.342764 | + | 0.593684i | 0.984945 | − | 0.172869i | \(-0.0553036\pi\) |
−0.642181 | + | 0.766553i | \(0.721970\pi\) | |||||||
\(132\) | 1732.06 | − | 406.931i | 1.14209 | − | 0.268324i | ||||
\(133\) | 99.9105 | − | 173.050i | 0.0651379 | − | 0.112822i | ||||
\(134\) | −417.763 | −0.269322 | ||||||||
\(135\) | 1364.49 | + | 505.714i | 0.869901 | + | 0.322407i | ||||
\(136\) | 458.144 | 0.288864 | ||||||||
\(137\) | 630.454 | − | 1091.98i | 0.393163 | − | 0.680978i | −0.599702 | − | 0.800223i | \(-0.704714\pi\) |
0.992865 | + | 0.119245i | \(0.0380475\pi\) | |||||||
\(138\) | 493.361 | − | 115.911i | 0.304331 | − | 0.0714998i | ||||
\(139\) | −230.916 | − | 399.958i | −0.140907 | − | 0.244057i | 0.786932 | − | 0.617040i | \(-0.211668\pi\) |
−0.927838 | + | 0.372983i | \(0.878335\pi\) | |||||||
\(140\) | −162.321 | − | 281.148i | −0.0979900 | − | 0.169724i | ||||
\(141\) | −92.8164 | + | 307.837i | −0.0554365 | + | 0.183862i | ||||
\(142\) | 185.527 | − | 321.341i | 0.109641 | − | 0.189904i | ||||
\(143\) | 2103.90 | 1.23033 | ||||||||
\(144\) | −37.4431 | + | 602.302i | −0.0216685 | + | 0.348554i | ||||
\(145\) | −294.285 | −0.168545 | ||||||||
\(146\) | −634.999 | + | 1099.85i | −0.359951 | + | 0.623454i | ||||
\(147\) | −1127.37 | − | 1199.63i | −0.632545 | − | 0.673089i | ||||
\(148\) | −550.832 | − | 954.068i | −0.305933 | − | 0.529891i | ||||
\(149\) | −729.661 | − | 1263.81i | −0.401182 | − | 0.694868i | 0.592687 | − | 0.805433i | \(-0.298067\pi\) |
−0.993869 | + | 0.110565i | \(0.964734\pi\) | |||||||
\(150\) | 85.0440 | + | 90.4950i | 0.0462921 | + | 0.0492593i | ||||
\(151\) | −770.659 | + | 1334.82i | −0.415333 | + | 0.719378i | −0.995463 | − | 0.0951456i | \(-0.969668\pi\) |
0.580130 | + | 0.814524i | \(0.303002\pi\) | |||||||
\(152\) | 756.518 | 0.403696 | ||||||||
\(153\) | 571.732 | − | 284.341i | 0.302103 | − | 0.150246i | ||||
\(154\) | 393.065 | 0.205676 | ||||||||
\(155\) | −66.8139 | + | 115.725i | −0.0346233 | + | 0.0599694i | ||||
\(156\) | −344.845 | + | 1143.72i | −0.176985 | + | 0.586994i | ||||
\(157\) | 1607.79 | + | 2784.77i | 0.817295 | + | 1.41560i | 0.907668 | + | 0.419688i | \(0.137861\pi\) |
−0.0903734 | + | 0.995908i | \(0.528806\pi\) | |||||||
\(158\) | −884.459 | − | 1531.93i | −0.445341 | − | 0.771352i | ||||
\(159\) | −2490.31 | + | 585.076i | −1.24210 | + | 0.291821i | ||||
\(160\) | 962.804 | − | 1667.63i | 0.475727 | − | 0.823984i | ||||
\(161\) | −363.671 | −0.178021 | ||||||||
\(162\) | −389.042 | − | 921.647i | −0.188679 | − | 0.446984i | ||||
\(163\) | 947.587 | 0.455342 | 0.227671 | − | 0.973738i | \(-0.426889\pi\) | ||||
0.227671 | + | 0.973738i | \(0.426889\pi\) | |||||||
\(164\) | −659.040 | + | 1141.49i | −0.313795 | + | 0.543509i | ||||
\(165\) | −2937.03 | + | 690.029i | −1.38574 | + | 0.325568i | ||||
\(166\) | 489.791 | + | 848.342i | 0.229007 | + | 0.396651i | ||||
\(167\) | −342.980 | − | 594.058i | −0.158926 | − | 0.275267i | 0.775556 | − | 0.631279i | \(-0.217470\pi\) |
−0.934481 | + | 0.356012i | \(0.884136\pi\) | |||||||
\(168\) | −148.687 | + | 493.140i | −0.0682826 | + | 0.226468i | ||||
\(169\) | 392.213 | − | 679.333i | 0.178522 | − | 0.309209i | ||||
\(170\) | −336.619 | −0.151868 | ||||||||
\(171\) | 944.083 | − | 469.524i | 0.422198 | − | 0.209973i | ||||
\(172\) | −374.557 | −0.166045 | ||||||||
\(173\) | 1106.41 | − | 1916.36i | 0.486237 | − | 0.842188i | −0.513637 | − | 0.858007i | \(-0.671702\pi\) |
0.999875 | + | 0.0158193i | \(0.00503566\pi\) | |||||||
\(174\) | 138.546 | + | 147.427i | 0.0603630 | + | 0.0642321i | ||||
\(175\) | −44.5569 | − | 77.1748i | −0.0192468 | − | 0.0333364i | ||||
\(176\) | −625.572 | − | 1083.52i | −0.267922 | − | 0.464054i | ||||
\(177\) | 2809.84 | + | 2989.94i | 1.19322 | + | 1.26970i | ||||
\(178\) | −277.753 | + | 481.082i | −0.116958 | + | 0.202576i | ||||
\(179\) | 3023.22 | 1.26238 | 0.631190 | − | 0.775629i | \(-0.282567\pi\) | ||||
0.631190 | + | 0.775629i | \(0.282567\pi\) | |||||||
\(180\) | 106.288 | − | 1709.73i | 0.0440126 | − | 0.707977i | ||||
\(181\) | 391.445 | 0.160751 | 0.0803753 | − | 0.996765i | \(-0.474388\pi\) | ||||
0.0803753 | + | 0.996765i | \(0.474388\pi\) | |||||||
\(182\) | −131.953 | + | 228.550i | −0.0537420 | + | 0.0930839i | ||||
\(183\) | 781.634 | − | 2592.39i | 0.315738 | − | 1.04718i | ||||
\(184\) | −688.426 | − | 1192.39i | −0.275823 | − | 0.477740i | ||||
\(185\) | 934.040 | + | 1617.81i | 0.371200 | + | 0.642937i | ||||
\(186\) | 89.4294 | − | 21.0106i | 0.0352542 | − | 0.00828266i | ||||
\(187\) | −661.928 | + | 1146.49i | −0.258850 | + | 0.448341i | ||||
\(188\) | 378.496 | 0.146833 | ||||||||
\(189\) | 120.510 | + | 707.686i | 0.0463799 | + | 0.272363i | ||||
\(190\) | −555.848 | −0.212239 | ||||||||
\(191\) | −1742.79 | + | 3018.61i | −0.660231 | + | 1.14355i | 0.320324 | + | 0.947308i | \(0.396208\pi\) |
−0.980555 | + | 0.196246i | \(0.937125\pi\) | |||||||
\(192\) | −384.233 | + | 90.2720i | −0.144425 | + | 0.0339314i | ||||
\(193\) | −1107.53 | − | 1918.31i | −0.413068 | − | 0.715455i | 0.582156 | − | 0.813077i | \(-0.302209\pi\) |
−0.995223 | + | 0.0976228i | \(0.968876\pi\) | |||||||
\(194\) | 51.4793 | + | 89.1647i | 0.0190515 | + | 0.0329982i | ||||
\(195\) | 584.751 | − | 1939.40i | 0.214743 | − | 0.712222i | ||||
\(196\) | −968.963 | + | 1678.29i | −0.353121 | + | 0.611623i | ||||
\(197\) | −3975.11 | −1.43764 | −0.718820 | − | 0.695196i | \(-0.755318\pi\) | ||||
−0.718820 | + | 0.695196i | \(0.755318\pi\) | |||||||
\(198\) | 1728.40 | + | 1146.49i | 0.620365 | + | 0.411504i | ||||
\(199\) | −1555.34 | −0.554046 | −0.277023 | − | 0.960863i | \(-0.589348\pi\) | ||||
−0.277023 | + | 0.960863i | \(0.589348\pi\) | |||||||
\(200\) | 168.692 | − | 292.183i | 0.0596415 | − | 0.103302i | ||||
\(201\) | 1083.29 | + | 1152.72i | 0.380146 | + | 0.404512i | ||||
\(202\) | −746.437 | − | 1292.87i | −0.259996 | − | 0.450326i | ||||
\(203\) | −72.5883 | − | 125.727i | −0.0250970 | − | 0.0434693i | ||||
\(204\) | −514.762 | − | 547.756i | −0.176669 | − | 0.187993i | ||||
\(205\) | 1117.53 | − | 1935.62i | 0.380739 | − | 0.659460i | ||||
\(206\) | 1498.28 | 0.506749 | ||||||||
\(207\) | −1599.15 | − | 1060.76i | −0.536950 | − | 0.356172i | ||||
\(208\) | 840.027 | 0.280026 | ||||||||
\(209\) | −1093.02 | + | 1893.17i | −0.361750 | + | 0.626570i | ||||
\(210\) | 109.247 | − | 362.332i | 0.0358990 | − | 0.119063i | ||||
\(211\) | −873.865 | − | 1513.58i | −0.285115 | − | 0.493834i | 0.687522 | − | 0.726164i | \(-0.258699\pi\) |
−0.972637 | + | 0.232329i | \(0.925365\pi\) | |||||||
\(212\) | 1505.69 | + | 2607.93i | 0.487789 | + | 0.844875i | ||||
\(213\) | −1367.75 | + | 321.341i | −0.439986 | + | 0.103371i | ||||
\(214\) | −706.145 | + | 1223.08i | −0.225566 | + | 0.390691i | ||||
\(215\) | 635.133 | 0.201468 | ||||||||
\(216\) | −2092.21 | + | 1734.77i | −0.659058 | + | 0.546462i | ||||
\(217\) | −65.9211 | −0.0206222 | ||||||||
\(218\) | 1218.94 | − | 2111.27i | 0.378702 | − | 0.655931i | ||||
\(219\) | 4681.39 | − | 1099.85i | 1.44447 | − | 0.339365i | ||||
\(220\) | 1775.79 | + | 3075.75i | 0.544198 | + | 0.942579i | ||||
\(221\) | −444.423 | − | 769.764i | −0.135272 | − | 0.234298i | ||||
\(222\) | 370.728 | − | 1229.57i | 0.112080 | − | 0.371726i | ||||
\(223\) | 1270.97 | − | 2201.39i | 0.381662 | − | 0.661057i | −0.609638 | − | 0.792680i | \(-0.708685\pi\) |
0.991300 | + | 0.131622i | \(0.0420187\pi\) | |||||||
\(224\) | 949.939 | 0.283350 | ||||||||
\(225\) | 29.1761 | − | 469.320i | 0.00864476 | − | 0.139058i | ||||
\(226\) | 2217.52 | 0.652687 | ||||||||
\(227\) | 1496.63 | − | 2592.24i | 0.437598 | − | 0.757943i | −0.559905 | − | 0.828557i | \(-0.689163\pi\) |
0.997504 | + | 0.0706140i | \(0.0224959\pi\) | |||||||
\(228\) | −850.009 | − | 904.492i | −0.246900 | − | 0.262726i | ||||
\(229\) | 2152.65 | + | 3728.50i | 0.621185 | + | 1.07592i | 0.989265 | + | 0.146130i | \(0.0466816\pi\) |
−0.368081 | + | 0.929794i | \(0.619985\pi\) | |||||||
\(230\) | 505.818 | + | 876.102i | 0.145012 | + | 0.251167i | ||||
\(231\) | −1019.25 | − | 1084.58i | −0.290309 | − | 0.308917i | ||||
\(232\) | 274.818 | − | 475.999i | 0.0777702 | − | 0.134702i | ||||
\(233\) | −5581.34 | −1.56930 | −0.784648 | − | 0.619942i | \(-0.787156\pi\) | ||||
−0.784648 | + | 0.619942i | \(0.787156\pi\) | |||||||
\(234\) | −1246.87 | + | 620.108i | −0.348334 | + | 0.173238i | ||||
\(235\) | −641.812 | −0.178158 | ||||||||
\(236\) | 2415.02 | − | 4182.94i | 0.666121 | − | 1.15376i | ||||
\(237\) | −1933.55 | + | 6412.87i | −0.529948 | + | 1.75764i | ||||
\(238\) | −83.0303 | − | 143.813i | −0.0226137 | − | 0.0391680i | ||||
\(239\) | −704.814 | − | 1220.77i | −0.190756 | − | 0.330399i | 0.754745 | − | 0.656018i | \(-0.227761\pi\) |
−0.945501 | + | 0.325619i | \(0.894427\pi\) | |||||||
\(240\) | −1172.67 | + | 275.509i | −0.315399 | + | 0.0741001i | ||||
\(241\) | −313.286 | + | 542.627i | −0.0837366 | + | 0.145036i | −0.904852 | − | 0.425726i | \(-0.860019\pi\) |
0.821116 | + | 0.570762i | \(0.193352\pi\) | |||||||
\(242\) | −2473.63 | −0.657069 | ||||||||
\(243\) | −1534.27 | + | 3463.37i | −0.405034 | + | 0.914302i | ||||
\(244\) | −3187.42 | −0.836286 | ||||||||
\(245\) | 1643.06 | − | 2845.87i | 0.428455 | − | 0.742105i | ||||
\(246\) | −1495.80 | + | 351.424i | −0.387677 | + | 0.0910811i | ||||
\(247\) | −733.862 | − | 1271.09i | −0.189047 | − | 0.327438i | ||||
\(248\) | −124.788 | − | 216.139i | −0.0319518 | − | 0.0553422i | ||||
\(249\) | 1070.75 | − | 3551.28i | 0.272514 | − | 0.903828i | ||||
\(250\) | −1013.55 | + | 1755.52i | −0.256410 | + | 0.444116i | ||||
\(251\) | 1705.53 | 0.428892 | 0.214446 | − | 0.976736i | \(-0.431205\pi\) | ||||
0.214446 | + | 0.976736i | \(0.431205\pi\) | |||||||
\(252\) | 756.660 | − | 376.312i | 0.189147 | − | 0.0940692i | ||||
\(253\) | 3978.56 | 0.988656 | ||||||||
\(254\) | −827.556 | + | 1433.37i | −0.204431 | + | 0.354085i | ||||
\(255\) | 872.877 | + | 928.826i | 0.214360 | + | 0.228099i | ||||
\(256\) | 1251.37 | + | 2167.43i | 0.305510 | + | 0.529158i | ||||
\(257\) | 1798.69 | + | 3115.42i | 0.436573 | + | 0.756166i | 0.997423 | − | 0.0717513i | \(-0.0228588\pi\) |
−0.560850 | + | 0.827918i | \(0.689525\pi\) | |||||||
\(258\) | −299.014 | − | 318.180i | −0.0721542 | − | 0.0767791i | ||||
\(259\) | −460.780 | + | 798.094i | −0.110546 | + | 0.191472i | ||||
\(260\) | −2384.55 | −0.568784 | ||||||||
\(261\) | 47.5311 | − | 764.576i | 0.0112724 | − | 0.181326i | ||||
\(262\) | 1410.51 | 0.332601 | ||||||||
\(263\) | −2068.75 | + | 3583.18i | −0.485037 | + | 0.840108i | −0.999852 | − | 0.0171926i | \(-0.994527\pi\) |
0.514815 | + | 0.857301i | \(0.327860\pi\) | |||||||
\(264\) | 1626.64 | − | 5394.95i | 0.379215 | − | 1.25771i | ||||
\(265\) | −2553.19 | − | 4422.25i | −0.591853 | − | 1.02512i | ||||
\(266\) | −137.105 | − | 237.473i | −0.0316032 | − | 0.0547384i | ||||
\(267\) | 2047.67 | − | 481.082i | 0.469346 | − | 0.110269i | ||||
\(268\) | 931.074 | − | 1612.67i | 0.212218 | − | 0.367572i | ||||
\(269\) | 6090.99 | 1.38057 | 0.690287 | − | 0.723536i | \(-0.257484\pi\) | ||||
0.690287 | + | 0.723536i | \(0.257484\pi\) | |||||||
\(270\) | 1537.24 | − | 1274.61i | 0.346494 | − | 0.287298i | ||||
\(271\) | −3196.62 | −0.716534 | −0.358267 | − | 0.933619i | \(-0.616632\pi\) | ||||
−0.358267 | + | 0.933619i | \(0.616632\pi\) | |||||||
\(272\) | −264.289 | + | 457.762i | −0.0589150 | + | 0.102044i | ||||
\(273\) | 972.798 | − | 228.550i | 0.215665 | − | 0.0506684i | ||||
\(274\) | −865.160 | − | 1498.50i | −0.190753 | − | 0.330393i | ||||
\(275\) | 487.452 | + | 844.292i | 0.106889 | + | 0.185137i | ||||
\(276\) | −652.117 | + | 2162.83i | −0.142220 | + | 0.471692i | ||||
\(277\) | 1559.68 | − | 2701.45i | 0.338311 | − | 0.585972i | −0.645804 | − | 0.763503i | \(-0.723478\pi\) |
0.984115 | + | 0.177531i | \(0.0568111\pi\) | |||||||
\(278\) | −633.763 | −0.136729 | ||||||||
\(279\) | −289.871 | − | 192.279i | −0.0622012 | − | 0.0412596i | ||||
\(280\) | −1028.15 | −0.219442 | ||||||||
\(281\) | −2474.17 | + | 4285.38i | −0.525254 | + | 0.909767i | 0.474313 | + | 0.880356i | \(0.342696\pi\) |
−0.999567 | + | 0.0294105i | \(0.990637\pi\) | |||||||
\(282\) | 302.158 | + | 321.525i | 0.0638058 | + | 0.0678956i | ||||
\(283\) | 2272.47 | + | 3936.03i | 0.477329 | + | 0.826758i | 0.999662 | − | 0.0259834i | \(-0.00827171\pi\) |
−0.522333 | + | 0.852741i | \(0.674938\pi\) | |||||||
\(284\) | 826.971 | + | 1432.36i | 0.172788 | + | 0.299277i | ||||
\(285\) | 1441.35 | + | 1533.74i | 0.299573 | + | 0.318775i | ||||
\(286\) | 1443.57 | − | 2500.34i | 0.298462 | − | 0.516951i | ||||
\(287\) | 1102.60 | 0.226774 | ||||||||
\(288\) | 4177.11 | + | 2770.78i | 0.854648 | + | 0.566910i | ||||
\(289\) | −4353.70 | −0.886160 | ||||||||
\(290\) | −201.921 | + | 349.738i | −0.0408869 | + | 0.0708183i | ||||
\(291\) | 112.541 | − | 373.256i | 0.0226710 | − | 0.0751913i | ||||
\(292\) | −2830.46 | − | 4902.50i | −0.567261 | − | 0.982525i | ||||
\(293\) | −3430.05 | − | 5941.03i | −0.683911 | − | 1.18457i | −0.973778 | − | 0.227501i | \(-0.926944\pi\) |
0.289867 | − | 0.957067i | \(-0.406389\pi\) | |||||||
\(294\) | −2199.22 | + | 516.686i | −0.436262 | + | 0.102496i | ||||
\(295\) | −4095.13 | + | 7092.98i | −0.808230 | + | 1.39990i | ||||
\(296\) | −3489.01 | −0.685117 | ||||||||
\(297\) | −1318.38 | − | 7742.08i | −0.257576 | − | 1.51260i | ||||
\(298\) | −2002.60 | −0.389287 | ||||||||
\(299\) | −1335.62 | + | 2313.36i | −0.258330 | + | 0.447441i | ||||
\(300\) | −538.872 | + | 126.603i | −0.103706 | + | 0.0243648i | ||||
\(301\) | 156.662 | + | 271.346i | 0.0299994 | + | 0.0519605i | ||||
\(302\) | 1057.56 | + | 1831.75i | 0.201509 | + | 0.349024i | ||||
\(303\) | −1631.82 | + | 5412.12i | −0.309391 | + | 1.02613i | ||||
\(304\) | −436.412 | + | 755.888i | −0.0823353 | + | 0.142609i | ||||
\(305\) | 5404.89 | 1.01470 | ||||||||
\(306\) | 54.3686 | − | 874.562i | 0.0101570 | − | 0.163384i | ||||
\(307\) | 6332.25 | 1.17720 | 0.588600 | − | 0.808424i | \(-0.299679\pi\) | ||||
0.588600 | + | 0.808424i | \(0.299679\pi\) | |||||||
\(308\) | −876.030 | + | 1517.33i | −0.162066 | + | 0.280707i | ||||
\(309\) | −3885.15 | − | 4134.18i | −0.715270 | − | 0.761117i | ||||
\(310\) | 91.6874 | + | 158.807i | 0.0167984 | + | 0.0290956i | ||||
\(311\) | −3538.84 | − | 6129.44i | −0.645238 | − | 1.11758i | −0.984247 | − | 0.176801i | \(-0.943425\pi\) |
0.339009 | − | 0.940783i | \(-0.389908\pi\) | |||||||
\(312\) | 2590.86 | + | 2756.93i | 0.470123 | + | 0.500257i | ||||
\(313\) | −690.649 | + | 1196.24i | −0.124721 | + | 0.216024i | −0.921624 | − | 0.388084i | \(-0.873137\pi\) |
0.796903 | + | 0.604108i | \(0.206470\pi\) | |||||||
\(314\) | 4412.67 | 0.793062 | ||||||||
\(315\) | −1283.06 | + | 638.110i | −0.229500 | + | 0.114138i | ||||
\(316\) | 7884.83 | 1.40366 | ||||||||
\(317\) | 4087.47 | − | 7079.70i | 0.724211 | − | 1.25437i | −0.235086 | − | 0.971974i | \(-0.575537\pi\) |
0.959298 | − | 0.282396i | \(-0.0911294\pi\) | |||||||
\(318\) | −1013.38 | + | 3361.00i | −0.178703 | + | 0.592691i | ||||
\(319\) | 794.115 | + | 1375.45i | 0.139379 | + | 0.241412i | ||||
\(320\) | −393.934 | − | 682.314i | −0.0688175 | − | 0.119195i | ||||
\(321\) | 5205.90 | − | 1223.08i | 0.905187 | − | 0.212665i | ||||
\(322\) | −249.530 | + | 432.198i | −0.0431855 | + | 0.0747995i | ||||
\(323\) | 923.549 | 0.159095 | ||||||||
\(324\) | 4424.85 | + | 552.290i | 0.758718 | + | 0.0947000i | ||||
\(325\) | −654.559 | −0.111718 | ||||||||
\(326\) | 650.178 | − | 1126.14i | 0.110460 | − | 0.191323i | ||||
\(327\) | −8986.37 | + | 2111.27i | −1.51972 | + | 0.357044i | ||||
\(328\) | 2087.20 | + | 3615.14i | 0.351361 | + | 0.608576i | ||||
\(329\) | −158.309 | − | 274.199i | −0.0265284 | − | 0.0459486i | ||||
\(330\) | −1195.17 | + | 3963.92i | −0.199369 | + | 0.661231i | ||||
\(331\) | 4830.64 | − | 8366.92i | 0.802163 | − | 1.38939i | −0.116026 | − | 0.993246i | \(-0.537016\pi\) |
0.918189 | − | 0.396142i | \(-0.129651\pi\) | |||||||
\(332\) | −4366.41 | −0.721801 | ||||||||
\(333\) | −4354.04 | + | 2165.41i | −0.716517 | + | 0.356348i | ||||
\(334\) | −941.329 | −0.154213 | ||||||||
\(335\) | −1578.81 | + | 2734.59i | −0.257492 | + | 0.445989i | ||||
\(336\) | −406.956 | − | 433.041i | −0.0660752 | − | 0.0703104i | ||||
\(337\) | 2478.01 | + | 4292.04i | 0.400552 | + | 0.693776i | 0.993793 | − | 0.111249i | \(-0.0354852\pi\) |
−0.593241 | + | 0.805025i | \(0.702152\pi\) | |||||||
\(338\) | −538.227 | − | 932.236i | −0.0866144 | − | 0.150021i | ||||
\(339\) | −5750.19 | − | 6118.76i | −0.921260 | − | 0.980311i | ||||
\(340\) | 750.228 | − | 1299.43i | 0.119667 | − | 0.207269i | ||||
\(341\) | 721.177 | 0.114528 | ||||||||
\(342\) | 89.7771 | − | 1444.14i | 0.0141947 | − | 0.228333i | ||||
\(343\) | 3376.19 | 0.531478 | ||||||||
\(344\) | −593.118 | + | 1027.31i | −0.0929616 | + | 0.161014i | ||||
\(345\) | 1105.79 | − | 3667.49i | 0.172561 | − | 0.572321i | ||||
\(346\) | −1518.31 | − | 2629.79i | −0.235910 | − | 0.408608i | ||||
\(347\) | 507.802 | + | 879.540i | 0.0785598 | + | 0.136070i | 0.902629 | − | 0.430420i | \(-0.141635\pi\) |
−0.824069 | + | 0.566490i | \(0.808301\pi\) | |||||||
\(348\) | −877.883 | + | 206.251i | −0.135228 | + | 0.0317707i | ||||
\(349\) | −6079.29 | + | 10529.6i | −0.932426 | + | 1.61501i | −0.153267 | + | 0.988185i | \(0.548979\pi\) |
−0.779160 | + | 0.626825i | \(0.784354\pi\) | |||||||
\(350\) | −122.289 | −0.0186761 | ||||||||
\(351\) | 4944.26 | + | 1832.47i | 0.751867 | + | 0.278661i | ||||
\(352\) | −10392.3 | −1.57362 | ||||||||
\(353\) | −2118.04 | + | 3668.56i | −0.319354 | + | 0.553138i | −0.980353 | − | 0.197249i | \(-0.936799\pi\) |
0.660999 | + | 0.750387i | \(0.270133\pi\) | |||||||
\(354\) | 5481.28 | − | 1287.78i | 0.822957 | − | 0.193346i | ||||
\(355\) | −1402.29 | − | 2428.83i | −0.209650 | − | 0.363124i | ||||
\(356\) | −1238.06 | − | 2144.39i | −0.184318 | − | 0.319248i | ||||
\(357\) | −181.516 | + | 602.020i | −0.0269099 | + | 0.0892501i | ||||
\(358\) | 2074.35 | − | 3592.88i | 0.306237 | − | 0.530418i | ||||
\(359\) | −517.939 | −0.0761443 | −0.0380721 | − | 0.999275i | \(-0.512122\pi\) | ||||
−0.0380721 | + | 0.999275i | \(0.512122\pi\) | |||||||
\(360\) | −4521.03 | − | 2998.91i | −0.661887 | − | 0.439046i | ||||
\(361\) | −5333.97 | −0.777660 | ||||||||
\(362\) | 268.586 | − | 465.205i | 0.0389961 | − | 0.0675432i | ||||
\(363\) | 6414.29 | + | 6825.42i | 0.927445 | + | 0.986892i | ||||
\(364\) | −588.173 | − | 1018.75i | −0.0846941 | − | 0.146694i | ||||
\(365\) | 4799.59 | + | 8313.13i | 0.688279 | + | 1.19213i | ||||
\(366\) | −2544.56 | − | 2707.66i | −0.363405 | − | 0.386699i | ||||
\(367\) | 2308.15 | − | 3997.83i | 0.328295 | − | 0.568624i | −0.653879 | − | 0.756600i | \(-0.726859\pi\) |
0.982174 | + | 0.187976i | \(0.0601926\pi\) | |||||||
\(368\) | 1588.53 | 0.225021 | ||||||||
\(369\) | 4848.38 | + | 3216.05i | 0.684002 | + | 0.453715i | ||||
\(370\) | 2563.53 | 0.360194 | ||||||||
\(371\) | 1259.54 | − | 2181.58i | 0.176258 | − | 0.305288i | ||||
\(372\) | −118.206 | + | 392.046i | −0.0164750 | + | 0.0546415i | ||||
\(373\) | −2382.71 | − | 4126.98i | −0.330756 | − | 0.572887i | 0.651904 | − | 0.758301i | \(-0.273970\pi\) |
−0.982660 | + | 0.185415i | \(0.940637\pi\) | |||||||
\(374\) | 908.351 | + | 1573.31i | 0.125588 | + | 0.217524i | ||||
\(375\) | 7472.18 | − | 1755.52i | 1.02896 | − | 0.241746i | ||||
\(376\) | 599.355 | − | 1038.11i | 0.0822058 | − | 0.142385i | ||||
\(377\) | −1066.35 | −0.145676 | ||||||||
\(378\) | 923.722 | + | 342.355i | 0.125691 | + | 0.0465842i | ||||
\(379\) | −2000.33 | −0.271108 | −0.135554 | − | 0.990770i | \(-0.543281\pi\) | ||||
−0.135554 | + | 0.990770i | \(0.543281\pi\) | |||||||
\(380\) | 1238.83 | − | 2145.71i | 0.167238 | − | 0.289665i | ||||
\(381\) | 6100.98 | − | 1433.37i | 0.820374 | − | 0.192740i | ||||
\(382\) | 2391.60 | + | 4142.38i | 0.320327 | + | 0.554823i | ||||
\(383\) | −495.147 | − | 857.619i | −0.0660596 | − | 0.114419i | 0.831104 | − | 0.556117i | \(-0.187709\pi\) |
−0.897164 | + | 0.441699i | \(0.854376\pi\) | |||||||
\(384\) | 2071.44 | − | 6870.18i | 0.275280 | − | 0.913001i | ||||
\(385\) | 1485.48 | − | 2572.92i | 0.196641 | − | 0.340593i | ||||
\(386\) | −3039.70 | −0.400820 | ||||||||
\(387\) | −102.583 | + | 1650.12i | −0.0134743 | + | 0.216746i | ||||
\(388\) | −458.930 | −0.0600481 | ||||||||
\(389\) | −202.205 | + | 350.230i | −0.0263553 | + | 0.0456487i | −0.878902 | − | 0.477002i | \(-0.841723\pi\) |
0.852547 | + | 0.522651i | \(0.175057\pi\) | |||||||
\(390\) | −1903.62 | − | 2025.64i | −0.247163 | − | 0.263005i | ||||
\(391\) | −840.423 | − | 1455.66i | −0.108701 | − | 0.188275i | ||||
\(392\) | 3068.74 | + | 5315.22i | 0.395395 | + | 0.684845i | ||||
\(393\) | −3657.54 | − | 3891.98i | −0.469462 | − | 0.499553i | ||||
\(394\) | −2727.49 | + | 4724.15i | −0.348753 | + | 0.604059i | ||||
\(395\) | −13370.2 | −1.70311 | ||||||||
\(396\) | −8277.86 | + | 4116.85i | −1.05045 | + | 0.522424i | ||||
\(397\) | 2919.61 | 0.369096 | 0.184548 | − | 0.982824i | \(-0.440918\pi\) | ||||
0.184548 | + | 0.982824i | \(0.440918\pi\) | |||||||
\(398\) | −1067.18 | + | 1848.42i | −0.134405 | + | 0.232796i | ||||
\(399\) | −299.731 | + | 994.097i | −0.0376074 | + | 0.124730i | ||||
\(400\) | 194.626 | + | 337.102i | 0.0243282 | + | 0.0421378i | ||||
\(401\) | 5093.10 | + | 8821.52i | 0.634258 | + | 1.09857i | 0.986672 | + | 0.162723i | \(0.0520277\pi\) |
−0.352414 | + | 0.935844i | \(0.614639\pi\) | |||||||
\(402\) | 2113.22 | − | 496.482i | 0.262184 | − | 0.0615977i | ||||
\(403\) | −242.102 | + | 419.332i | −0.0299254 | + | 0.0518323i | ||||
\(404\) | 6654.38 | 0.819474 | ||||||||
\(405\) | −7503.17 | − | 936.514i | −0.920582 | − | 0.114903i | ||||
\(406\) | −199.223 | −0.0243529 | ||||||||
\(407\) | 5040.93 | − | 8731.15i | 0.613930 | − | 1.06336i | ||||
\(408\) | −2317.49 | + | 544.472i | −0.281208 | + | 0.0660672i | ||||
\(409\) | −3457.12 | − | 5987.91i | −0.417955 | − | 0.723920i | 0.577778 | − | 0.816194i | \(-0.303920\pi\) |
−0.995734 | + | 0.0922740i | \(0.970586\pi\) | |||||||
\(410\) | −1533.56 | − | 2656.21i | −0.184725 | − | 0.319953i | ||||
\(411\) | −1891.36 | + | 6272.94i | −0.226993 | + | 0.752850i | ||||
\(412\) | −3339.24 | + | 5783.73i | −0.399302 | + | 0.691612i | ||||
\(413\) | −4040.41 | −0.481394 | ||||||||
\(414\) | −2357.88 | + | 1172.65i | −0.279911 | + | 0.139209i | ||||
\(415\) | 7404.09 | 0.875789 | ||||||||
\(416\) | 3488.75 | − | 6042.68i | 0.411177 | − | 0.712180i | ||||
\(417\) | 1643.39 | + | 1748.73i | 0.192991 | + | 0.205361i | ||||
\(418\) | 1499.93 | + | 2597.96i | 0.175512 | + | 0.303996i | ||||
\(419\) | −2560.16 | − | 4434.32i | −0.298501 | − | 0.517019i | 0.677292 | − | 0.735714i | \(-0.263153\pi\) |
−0.975793 | + | 0.218695i | \(0.929820\pi\) | |||||||
\(420\) | 1155.21 | + | 1229.26i | 0.134211 | + | 0.142813i | ||||
\(421\) | −933.246 | + | 1616.43i | −0.108037 | + | 0.187126i | −0.914975 | − | 0.403511i | \(-0.867790\pi\) |
0.806938 | + | 0.590636i | \(0.201123\pi\) | |||||||
\(422\) | −2398.38 | −0.276662 | ||||||||
\(423\) | 103.661 | − | 1667.48i | 0.0119153 | − | 0.191668i | ||||
\(424\) | 9537.16 | 1.09237 | ||||||||
\(425\) | 205.937 | − | 356.693i | 0.0235045 | − | 0.0407110i | ||||
\(426\) | −556.580 | + | 1845.97i | −0.0633014 | + | 0.209947i | ||||
\(427\) | 1333.17 | + | 2309.11i | 0.151092 | + | 0.261700i | ||||
\(428\) | −3147.59 | − | 5451.79i | −0.355478 | − | 0.615706i | ||||
\(429\) | −10642.4 | + | 2500.34i | −1.19772 | + | 0.281393i | ||||
\(430\) | 435.791 | − | 754.811i | 0.0488737 | − | 0.0846517i | ||||
\(431\) | −4090.64 | −0.457168 | −0.228584 | − | 0.973524i | \(-0.573410\pi\) | ||||
−0.228584 | + | 0.973524i | \(0.573410\pi\) | |||||||
\(432\) | −526.391 | − | 3091.19i | −0.0586250 | − | 0.344271i | ||||
\(433\) | 633.052 | 0.0702599 | 0.0351299 | − | 0.999383i | \(-0.488815\pi\) | ||||
0.0351299 | + | 0.999383i | \(0.488815\pi\) | |||||||
\(434\) | −45.2311 | + | 78.3426i | −0.00500268 | + | 0.00866490i | ||||
\(435\) | 1488.62 | − | 349.738i | 0.164078 | − | 0.0385486i | ||||
\(436\) | 5433.34 | + | 9410.81i | 0.596811 | + | 1.03371i | ||||
\(437\) | −1387.76 | − | 2403.68i | −0.151912 | − | 0.263120i | ||||
\(438\) | 1905.00 | − | 6318.16i | 0.207818 | − | 0.689254i | ||||
\(439\) | 5653.26 | − | 9791.74i | 0.614614 | − | 1.06454i | −0.375838 | − | 0.926685i | \(-0.622645\pi\) |
0.990452 | − | 0.137857i | \(-0.0440214\pi\) | |||||||
\(440\) | 11248.0 | 1.21870 | ||||||||
\(441\) | 7128.40 | + | 4728.45i | 0.769723 | + | 0.510576i | ||||
\(442\) | −1219.75 | −0.131261 | ||||||||
\(443\) | 4140.65 | − | 7171.82i | 0.444082 | − | 0.769172i | −0.553906 | − | 0.832579i | \(-0.686863\pi\) |
0.997988 | + | 0.0634071i | \(0.0201967\pi\) | |||||||
\(444\) | 3920.18 | + | 4171.45i | 0.419017 | + | 0.445875i | ||||
\(445\) | 2099.37 | + | 3636.22i | 0.223640 | + | 0.387356i | ||||
\(446\) | −1744.13 | − | 3020.92i | −0.185173 | − | 0.320728i | ||||
\(447\) | 5192.88 | + | 5525.73i | 0.549474 | + | 0.584694i | ||||
\(448\) | 194.335 | − | 336.599i | 0.0204944 | − | 0.0354973i | ||||
\(449\) | 6888.40 | 0.724017 | 0.362008 | − | 0.932175i | \(-0.382091\pi\) | ||||
0.362008 | + | 0.932175i | \(0.382091\pi\) | |||||||
\(450\) | −537.735 | − | 356.693i | −0.0563313 | − | 0.0373660i | ||||
\(451\) | −12062.4 | −1.25941 | ||||||||
\(452\) | −4942.22 | + | 8560.17i | −0.514297 | + | 0.890789i | ||||
\(453\) | 2311.98 | − | 7667.96i | 0.239793 | − | 0.795302i | ||||
\(454\) | −2053.80 | − | 3557.28i | −0.212312 | − | 0.367735i | ||||
\(455\) | 997.360 | + | 1727.48i | 0.102763 | + | 0.177990i | ||||
\(456\) | −3826.79 | + | 899.070i | −0.392995 | + | 0.0923307i | ||||
\(457\) | −2141.80 | + | 3709.71i | −0.219233 | + | 0.379722i | −0.954574 | − | 0.297975i | \(-0.903689\pi\) |
0.735341 | + | 0.677697i | \(0.237022\pi\) | |||||||
\(458\) | 5908.09 | 0.602766 | ||||||||
\(459\) | −2554.14 | + | 2117.78i | −0.259732 | + | 0.215359i | ||||
\(460\) | −4509.29 | −0.457058 | ||||||||
\(461\) | −6889.16 | + | 11932.4i | −0.696009 | + | 1.20552i | 0.273831 | + | 0.961778i | \(0.411709\pi\) |
−0.969840 | + | 0.243744i | \(0.921624\pi\) | |||||||
\(462\) | −1988.29 | + | 467.131i | −0.200224 | + | 0.0470409i | ||||
\(463\) | −2867.27 | − | 4966.25i | −0.287804 | − | 0.498491i | 0.685481 | − | 0.728090i | \(-0.259592\pi\) |
−0.973285 | + | 0.229599i | \(0.926258\pi\) | |||||||
\(464\) | 317.068 | + | 549.178i | 0.0317231 | + | 0.0549460i | ||||
\(465\) | 200.442 | − | 664.790i | 0.0199898 | − | 0.0662987i | ||||
\(466\) | −3829.59 | + | 6633.04i | −0.380691 | + | 0.659377i | ||||
\(467\) | −8950.97 | −0.886941 | −0.443470 | − | 0.896289i | \(-0.646253\pi\) | ||||
−0.443470 | + | 0.896289i | \(0.646253\pi\) | |||||||
\(468\) | 385.138 | − | 6195.25i | 0.0380406 | − | 0.611914i | ||||
\(469\) | −1557.72 | −0.153366 | ||||||||
\(470\) | −440.373 | + | 762.749i | −0.0432189 | + | 0.0748574i | ||||
\(471\) | −11442.4 | − | 12175.8i | −1.11940 | − | 1.19115i | ||||
\(472\) | −7648.47 | − | 13247.5i | −0.745867 | − | 1.29188i | ||||
\(473\) | −1713.88 | − | 2968.52i | −0.166605 | − | 0.288568i | ||||
\(474\) | 6294.56 | + | 6698.02i | 0.609955 | + | 0.649051i | ||||
\(475\) | 340.057 | − | 588.996i | 0.0328482 | − | 0.0568947i | ||||
\(476\) | 740.203 | 0.0712755 | ||||||||
\(477\) | 11901.7 | − | 5919.12i | 1.14244 | − | 0.568172i | ||||
\(478\) | −1934.41 | −0.185100 | ||||||||
\(479\) | −4840.51 | + | 8384.00i | −0.461729 | + | 0.799739i | −0.999047 | − | 0.0436411i | \(-0.986104\pi\) |
0.537318 | + | 0.843380i | \(0.319438\pi\) | |||||||
\(480\) | −2888.41 | + | 9579.78i | −0.274661 | + | 0.910948i | ||||
\(481\) | 3384.52 | + | 5862.16i | 0.320833 | + | 0.555699i | ||||
\(482\) | 429.917 | + | 744.637i | 0.0406269 | + | 0.0703678i | ||||
\(483\) | 1839.60 | − | 432.198i | 0.173302 | − | 0.0407157i | ||||
\(484\) | 5513.00 | − | 9548.80i | 0.517750 | − | 0.896769i | ||||
\(485\) | 778.204 | 0.0728586 | ||||||||
\(486\) | 3063.25 | + | 4199.73i | 0.285909 | + | 0.391983i | ||||
\(487\) | 8704.66 | 0.809950 | 0.404975 | − | 0.914328i | \(-0.367280\pi\) | ||||
0.404975 | + | 0.914328i | \(0.367280\pi\) | |||||||
\(488\) | −5047.35 | + | 8742.26i | −0.468202 | + | 0.810950i | ||||
\(489\) | −4793.30 | + | 1126.14i | −0.443273 | + | 0.104143i | ||||
\(490\) | −2254.74 | − | 3905.33i | −0.207875 | − | 0.360051i | ||||
\(491\) | 7797.85 | + | 13506.3i | 0.716725 | + | 1.24140i | 0.962290 | + | 0.272024i | \(0.0876930\pi\) |
−0.245565 | + | 0.969380i | \(0.578974\pi\) | |||||||
\(492\) | 1977.12 | − | 6557.36i | 0.181170 | − | 0.600871i | ||||
\(493\) | 335.495 | − | 581.094i | 0.0306489 | − | 0.0530855i | ||||
\(494\) | −2014.13 | −0.183441 | ||||||||
\(495\) | 14036.7 | − | 6980.92i | 1.27455 | − | 0.633876i | ||||
\(496\) | 287.945 | 0.0260668 | ||||||||
\(497\) | 691.776 | − | 1198.19i | 0.0624354 | − | 0.108141i | ||||
\(498\) | −3485.76 | − | 3709.19i | −0.313656 | − | 0.333761i | ||||
\(499\) | 4848.14 | + | 8397.22i | 0.434935 | + | 0.753329i | 0.997290 | − | 0.0735663i | \(-0.0234381\pi\) |
−0.562355 | + | 0.826896i | \(0.690105\pi\) | |||||||
\(500\) | −4517.83 | − | 7825.11i | −0.404087 | − | 0.699899i | ||||
\(501\) | 2440.93 | + | 2597.39i | 0.217670 | + | 0.231622i | ||||
\(502\) | 1170.23 | − | 2026.90i | 0.104044 | − | 0.180209i | ||||
\(503\) | 20949.7 | 1.85706 | 0.928532 | − | 0.371253i | \(-0.121072\pi\) | ||||
0.928532 | + | 0.371253i | \(0.121072\pi\) | |||||||
\(504\) | 166.061 | − | 2671.22i | 0.0146764 | − | 0.236082i | ||||
\(505\) | −11283.8 | −0.994300 | ||||||||
\(506\) | 2729.85 | − | 4728.24i | 0.239835 | − | 0.415407i | ||||
\(507\) | −1176.64 | + | 3902.47i | −0.103070 | + | 0.341844i | ||||
\(508\) | −3688.77 | − | 6389.14i | −0.322171 | − | 0.558016i | ||||
\(509\) | −5637.37 | − | 9764.22i | −0.490908 | − | 0.850278i | 0.509037 | − | 0.860745i | \(-0.330002\pi\) |
−0.999945 | + | 0.0104668i | \(0.996668\pi\) | |||||||
\(510\) | 1702.76 | − | 400.048i | 0.147842 | − | 0.0347342i | ||||
\(511\) | −2367.73 | + | 4101.03i | −0.204975 | + | 0.355027i | ||||
\(512\) | −7613.21 | −0.657148 | ||||||||
\(513\) | −4217.57 | + | 3497.03i | −0.362983 | + | 0.300970i | ||||
\(514\) | 4936.62 | 0.423628 | ||||||||
\(515\) | 5662.32 | − | 9807.43i | 0.484489 | − | 0.839159i | ||||
\(516\) | 1894.67 | − | 445.135i | 0.161644 | − | 0.0379767i | ||||
\(517\) | 1731.90 | + | 2999.74i | 0.147329 | + | 0.255181i | ||||
\(518\) | 632.320 | + | 1095.21i | 0.0536342 | + | 0.0928972i | ||||
\(519\) | −3319.24 | + | 11008.7i | −0.280729 | + | 0.931074i | ||||
\(520\) | −3775.99 | + | 6540.20i | −0.318439 | + | 0.551552i | ||||
\(521\) | 8675.49 | 0.729520 | 0.364760 | − | 0.931102i | \(-0.381151\pi\) | ||||
0.364760 | + | 0.931102i | \(0.381151\pi\) | |||||||
\(522\) | −876.032 | − | 581.094i | −0.0734538 | − | 0.0487237i | ||||
\(523\) | −4226.14 | −0.353339 | −0.176670 | − | 0.984270i | \(-0.556532\pi\) | ||||
−0.176670 | + | 0.984270i | \(0.556532\pi\) | |||||||
\(524\) | −3143.62 | + | 5444.90i | −0.262079 | + | 0.453934i | ||||
\(525\) | 317.105 | + | 337.430i | 0.0263611 | + | 0.0280508i | ||||
\(526\) | 2838.91 | + | 4917.14i | 0.235328 | + | 0.407599i | ||||
\(527\) | −152.340 | − | 263.860i | −0.0125921 | − | 0.0218101i | ||||
\(528\) | 4452.10 | + | 4737.46i | 0.366956 | + | 0.390477i | ||||
\(529\) | 3557.79 | − | 6162.27i | 0.292413 | − | 0.506474i | ||||
\(530\) | −7007.38 | −0.574304 | ||||||||
\(531\) | −17766.7 | − | 11785.1i | −1.45199 | − | 0.963143i | ||||
\(532\) | 1222.27 | 0.0996095 | ||||||||
\(533\) | 4049.39 | − | 7013.75i | 0.329078 | − | 0.569980i | ||||
\(534\) | 833.258 | − | 2763.60i | 0.0675255 | − | 0.223957i | ||||
\(535\) | 5337.34 | + | 9244.55i | 0.431315 | + | 0.747059i | ||||
\(536\) | −2948.75 | − | 5107.38i | −0.237624 | − | 0.411577i | ||||
\(537\) | −15292.7 | + | 3592.88i | −1.22892 | + | 0.288723i | ||||
\(538\) | 4179.28 | − | 7238.72i | 0.334910 | − | 0.580081i | ||||
\(539\) | −17734.9 | −1.41725 | ||||||||
\(540\) | 1494.25 | + | 8774.86i | 0.119078 | + | 0.699277i | ||||
\(541\) | 13357.8 | 1.06154 | 0.530771 | − | 0.847515i | \(-0.321902\pi\) | ||||
0.530771 | + | 0.847515i | \(0.321902\pi\) | |||||||
\(542\) | −2193.33 | + | 3798.96i | −0.173822 | + | 0.301069i | ||||
\(543\) | −1980.09 | + | 465.205i | −0.156490 | + | 0.0367658i | ||||
\(544\) | 2195.26 | + | 3802.29i | 0.173016 | + | 0.299673i | ||||
\(545\) | −9213.26 | − | 15957.8i | −0.724134 | − | 1.25424i | ||||
\(546\) | 395.860 | − | 1312.92i | 0.0310280 | − | 0.102908i | ||||
\(547\) | −10835.6 | + | 18767.7i | −0.846974 | + | 1.46700i | 0.0369219 | + | 0.999318i | \(0.488245\pi\) |
−0.883896 | + | 0.467684i | \(0.845089\pi\) | |||||||
\(548\) | 7712.78 | 0.601229 | ||||||||
\(549\) | −872.964 | + | 14042.3i | −0.0678637 | + | 1.09164i | ||||
\(550\) | 1337.84 | 0.103720 | ||||||||
\(551\) | 553.991 | − | 959.541i | 0.0428327 | − | 0.0741884i | ||||
\(552\) | 4899.42 | + | 5213.46i | 0.377778 | + | 0.401992i | ||||
\(553\) | −3297.90 | − | 5712.12i | −0.253600 | − | 0.439248i | ||||
\(554\) | −2140.32 | − | 3707.15i | −0.164140 | − | 0.284299i | ||||
\(555\) | −6647.42 | − | 7073.50i | −0.508410 | − | 0.540997i | ||||
\(556\) | 1412.48 | − | 2446.48i | 0.107738 | − | 0.186608i | ||||
\(557\) | 7477.63 | 0.568828 | 0.284414 | − | 0.958702i | \(-0.408201\pi\) | ||||
0.284414 | + | 0.958702i | \(0.408201\pi\) | |||||||
\(558\) | −427.402 | + | 212.561i | −0.0324254 | + | 0.0161262i | ||||
\(559\) | 2301.42 | 0.174132 | ||||||||
\(560\) | 593.109 | − | 1027.29i | 0.0447561 | − | 0.0775198i | ||||
\(561\) | 1985.78 | − | 6586.10i | 0.149447 | − | 0.495660i | ||||
\(562\) | 3395.25 | + | 5880.75i | 0.254840 | + | 0.441396i | ||||
\(563\) | 11652.3 | + | 20182.4i | 0.872269 | + | 1.51082i | 0.859643 | + | 0.510895i | \(0.170686\pi\) |
0.0126262 | + | 0.999920i | \(0.495981\pi\) | |||||||
\(564\) | −1914.59 | + | 449.816i | −0.142941 | + | 0.0335827i | ||||
\(565\) | 8380.48 | − | 14515.4i | 0.624017 | − | 1.08083i | ||||
\(566\) | 6236.92 | 0.463176 | ||||||||
\(567\) | −1450.63 | − | 3436.56i | −0.107444 | − | 0.254536i | ||||
\(568\) | 5238.10 | 0.386947 | ||||||||
\(569\) | 7324.54 | − | 12686.5i | 0.539650 | − | 0.934701i | −0.459273 | − | 0.888295i | \(-0.651890\pi\) |
0.998923 | − | 0.0464057i | \(-0.0147767\pi\) | |||||||
\(570\) | 2811.71 | − | 660.587i | 0.206614 | − | 0.0485420i | ||||
\(571\) | −11582.0 | − | 20060.6i | −0.848846 | − | 1.47025i | −0.882239 | − | 0.470803i | \(-0.843964\pi\) |
0.0333922 | − | 0.999442i | \(-0.489369\pi\) | |||||||
\(572\) | 6434.61 | + | 11145.1i | 0.470358 | + | 0.814683i | ||||
\(573\) | 5228.38 | − | 17340.6i | 0.381185 | − | 1.26425i | ||||
\(574\) | 756.536 | − | 1310.36i | 0.0550125 | − | 0.0952845i | ||||
\(575\) | −1237.80 | −0.0897735 | ||||||||
\(576\) | 1836.33 | − | 913.268i | 0.132836 | − | 0.0660640i | ||||
\(577\) | 7865.97 | 0.567529 | 0.283765 | − | 0.958894i | \(-0.408417\pi\) | ||||
0.283765 | + | 0.958894i | \(0.408417\pi\) | |||||||
\(578\) | −2987.25 | + | 5174.07i | −0.214971 | + | 0.372341i | ||||
\(579\) | 7882.15 | + | 8387.38i | 0.565753 | + | 0.602016i | ||||
\(580\) | −900.049 | − | 1558.93i | −0.0644353 | − | 0.111605i | ||||
\(581\) | 1826.29 | + | 3163.23i | 0.130408 | + | 0.225874i | ||||
\(582\) | −366.370 | − | 389.853i | −0.0260937 | − | 0.0277662i | ||||
\(583\) | −13779.3 | + | 23866.5i | −0.978869 | + | 1.69545i | ||||
\(584\) | −17928.4 | −1.27034 | ||||||||
\(585\) | −653.076 | + | 10505.2i | −0.0461562 | + | 0.742459i | ||||
\(586\) | −9413.99 | −0.663632 | ||||||||
\(587\) | 478.091 | − | 828.078i | 0.0336166 | − | 0.0582256i | −0.848728 | − | 0.528830i | \(-0.822631\pi\) |
0.882344 | + | 0.470605i | \(0.155964\pi\) | |||||||
\(588\) | 2906.89 | − | 9641.06i | 0.203874 | − | 0.676174i | ||||
\(589\) | −251.554 | − | 435.704i | −0.0175978 | − | 0.0304803i | ||||
\(590\) | 5619.68 | + | 9733.56i | 0.392133 | + | 0.679194i | ||||
\(591\) | 20107.8 | − | 4724.15i | 1.39953 | − | 0.328808i | ||||
\(592\) | 2012.70 | − | 3486.10i | 0.139732 | − | 0.242023i | ||||
\(593\) | −16966.0 | −1.17489 | −0.587444 | − | 0.809265i | \(-0.699866\pi\) | ||||
−0.587444 | + | 0.809265i | \(0.699866\pi\) | |||||||
\(594\) | −10105.5 | − | 3745.36i | −0.698038 | − | 0.258710i | ||||
\(595\) | −1255.16 | −0.0864813 | ||||||||
\(596\) | 4463.22 | − | 7730.53i | 0.306746 | − | 0.531300i | ||||
\(597\) | 7867.57 | − | 1848.42i | 0.539361 | − | 0.126718i | ||||
\(598\) | 1832.84 | + | 3174.58i | 0.125335 | + | 0.217087i | ||||
\(599\) | 3095.70 | + | 5361.92i | 0.211164 | + | 0.365746i | 0.952079 | − | 0.305852i | \(-0.0989414\pi\) |
−0.740915 | + | 0.671598i | \(0.765608\pi\) | |||||||
\(600\) | −506.075 | + | 1678.46i | −0.0344340 | + | 0.114205i | ||||
\(601\) | 1359.27 | − | 2354.33i | 0.0922559 | − | 0.159792i | −0.816204 | − | 0.577764i | \(-0.803926\pi\) |
0.908460 | + | 0.417972i | \(0.137259\pi\) | |||||||
\(602\) | 429.968 | 0.0291099 | ||||||||
\(603\) | −6849.66 | − | 4543.55i | −0.462587 | − | 0.306845i | ||||
\(604\) | −9428.00 | −0.635132 | ||||||||
\(605\) | −9348.35 | + | 16191.8i | −0.628206 | + | 1.08808i | ||||
\(606\) | 5312.28 | + | 5652.78i | 0.356100 | + | 0.378925i | ||||
\(607\) | −8412.49 | − | 14570.9i | −0.562524 | − | 0.974321i | −0.997275 | − | 0.0737701i | \(-0.976497\pi\) |
0.434751 | − | 0.900551i | \(-0.356836\pi\) | |||||||
\(608\) | 3624.95 | + | 6278.60i | 0.241795 | + | 0.418801i | ||||
\(609\) | 516.599 | + | 549.712i | 0.0343738 | + | 0.0365771i | ||||
\(610\) | 3708.51 | − | 6423.33i | 0.246153 | − | 0.426349i | ||||
\(611\) | −2325.62 | −0.153985 | ||||||||
\(612\) | 3254.85 | + | 2159.02i | 0.214983 | + | 0.142604i | ||||
\(613\) | −20175.1 | −1.32930 | −0.664652 | − | 0.747153i | \(-0.731420\pi\) | ||||
−0.664652 | + | 0.747153i | \(0.731420\pi\) | |||||||
\(614\) | 4344.81 | − | 7525.44i | 0.285574 | − | 0.494629i | ||||
\(615\) | −3352.58 | + | 11119.3i | −0.219820 | + | 0.729060i | ||||
\(616\) | 2774.42 | + | 4805.44i | 0.181468 | + | 0.314313i | ||||
\(617\) | −5655.31 | − | 9795.29i | −0.369002 | − | 0.639130i | 0.620408 | − | 0.784280i | \(-0.286967\pi\) |
−0.989410 | + | 0.145149i | \(0.953634\pi\) | |||||||
\(618\) | −7578.94 | + | 1780.60i | −0.493317 | + | 0.115900i | ||||
\(619\) | 8529.94 | − | 14774.3i | 0.553873 | − | 0.959336i | −0.444117 | − | 0.895969i | \(-0.646483\pi\) |
0.997990 | − | 0.0633676i | \(-0.0201841\pi\) | |||||||
\(620\) | −817.380 | −0.0529464 | ||||||||
\(621\) | 9349.81 | + | 3465.27i | 0.604179 | + | 0.223924i | ||||
\(622\) | −9712.56 | −0.626106 | ||||||||
\(623\) | −1035.66 | + | 1793.82i | −0.0666017 | + | 0.115357i | ||||
\(624\) | −4249.21 | + | 998.314i | −0.272604 | + | 0.0640457i | ||||
\(625\) | 6572.36 | + | 11383.7i | 0.420631 | + | 0.728554i | ||||
\(626\) | 947.764 | + | 1641.58i | 0.0605116 | + | 0.104809i | ||||
\(627\) | 3279.06 | − | 10875.4i | 0.208857 | − | 0.692699i | ||||
\(628\) | −9834.58 | + | 17034.0i | −0.624908 | + | 1.08237i | ||||
\(629\) | −4259.34 | −0.270002 | ||||||||
\(630\) | −122.012 | + | 1962.66i | −0.00771601 | + | 0.124118i | ||||
\(631\) | −13186.3 | −0.831916 | −0.415958 | − | 0.909384i | \(-0.636554\pi\) | ||||
−0.415958 | + | 0.909384i | \(0.636554\pi\) | |||||||
\(632\) | 12485.8 | − | 21626.0i | 0.785850 | − | 1.36113i | ||||
\(633\) | 6219.16 | + | 6617.79i | 0.390505 | + | 0.415535i | ||||
\(634\) | −5609.15 | − | 9715.34i | −0.351369 | − | 0.608589i | ||||
\(635\) | 6255.02 | + | 10834.0i | 0.390902 | + | 0.677063i | ||||
\(636\) | −10715.8 | − | 11402.6i | −0.668094 | − | 0.710917i | ||||
\(637\) | 5953.68 | − | 10312.1i | 0.370319 | − | 0.641412i | ||||
\(638\) | 2179.50 | 0.135246 | ||||||||
\(639\) | 6536.79 | − | 3250.96i | 0.404681 | − | 0.201261i | ||||
\(640\) | 14323.7 | 0.884677 | ||||||||
\(641\) | −8180.99 | + | 14169.9i | −0.504102 | + | 0.873131i | 0.495886 | + | 0.868387i | \(0.334843\pi\) |
−0.999989 | + | 0.00474343i | \(0.998490\pi\) | |||||||
\(642\) | 2118.43 | − | 7026.05i | 0.130230 | − | 0.431926i | ||||
\(643\) | 14022.5 | + | 24287.6i | 0.860019 | + | 1.48960i | 0.871910 | + | 0.489667i | \(0.162882\pi\) |
−0.0118907 | + | 0.999929i | \(0.503785\pi\) | |||||||
\(644\) | −1112.26 | − | 1926.49i | −0.0680577 | − | 0.117879i | ||||
\(645\) | −3212.77 | + | 754.811i | −0.196128 | + | 0.0460786i | ||||
\(646\) | 633.685 | − | 1097.57i | 0.0385944 | − | 0.0668475i | ||||
\(647\) | 21247.7 | 1.29109 | 0.645543 | − | 0.763724i | \(-0.276631\pi\) | ||||
0.645543 | + | 0.763724i | \(0.276631\pi\) | |||||||
\(648\) | 8521.61 | − | 11261.6i | 0.516606 | − | 0.682713i | ||||
\(649\) | 44202.1 | 2.67347 | ||||||||
\(650\) | −449.119 | + | 777.897i | −0.0271014 | + | 0.0469410i | ||||
\(651\) | 333.457 | − | 78.3426i | 0.0200756 | − | 0.00471657i | ||||
\(652\) | 2898.12 | + | 5019.69i | 0.174079 | + | 0.301513i | ||||
\(653\) | −629.928 | − | 1091.07i | −0.0377504 | − | 0.0653856i | 0.846533 | − | 0.532336i | \(-0.178686\pi\) |
−0.884283 | + | 0.466951i | \(0.845353\pi\) | |||||||
\(654\) | −3656.82 | + | 12128.3i | −0.218644 | + | 0.725159i | ||||
\(655\) | 5330.60 | − | 9232.87i | 0.317991 | − | 0.550776i | ||||
\(656\) | −4816.17 | −0.286646 | ||||||||
\(657\) | −22373.3 | + | 11127.0i | −1.32857 | + | 0.660740i | ||||
\(658\) | −434.489 | −0.0257419 | ||||||||
\(659\) | 6023.35 | − | 10432.7i | 0.356049 | − | 0.616695i | −0.631248 | − | 0.775581i | \(-0.717457\pi\) |
0.987297 | + | 0.158886i | \(0.0507902\pi\) | |||||||
\(660\) | −12638.0 | − | 13448.1i | −0.745354 | − | 0.793129i | ||||
\(661\) | −6554.04 | − | 11351.9i | −0.385662 | − | 0.667986i | 0.606199 | − | 0.795313i | \(-0.292693\pi\) |
−0.991861 | + | 0.127327i | \(0.959360\pi\) | |||||||
\(662\) | −6629.00 | − | 11481.8i | −0.389189 | − | 0.674096i | ||||
\(663\) | 3162.89 | + | 3365.62i | 0.185274 | + | 0.197149i | ||||
\(664\) | −6914.30 | + | 11975.9i | −0.404107 | + | 0.699933i | ||||
\(665\) | −2072.60 | −0.120860 | ||||||||
\(666\) | −414.046 | + | 6660.25i | −0.0240900 | + | 0.387507i | ||||
\(667\) | −2016.51 | −0.117061 | ||||||||
\(668\) | 2097.95 | − | 3633.76i | 0.121515 | − | 0.210471i | ||||
\(669\) | −3812.91 | + | 12646.0i | −0.220352 | + | 0.730826i | ||||
\(670\) | 2166.58 | + | 3752.62i | 0.124929 | + | 0.216383i | ||||
\(671\) | −14584.8 | − | 25261.7i | −0.839108 | − | 1.45338i | ||||
\(672\) | −4805.19 | + | 1128.94i | −0.275840 | + | 0.0648061i | ||||
\(673\) | −1371.82 | + | 2376.07i | −0.0785734 | + | 0.136093i | −0.902635 | − | 0.430408i | \(-0.858370\pi\) |
0.824061 | + | 0.566501i | \(0.191703\pi\) | |||||||
\(674\) | 6801.06 | 0.388675 | ||||||||
\(675\) | 410.169 | + | 2408.69i | 0.0233888 | + | 0.137349i | ||||
\(676\) | 4798.21 | 0.272998 | ||||||||
\(677\) | −12502.0 | + | 21654.1i | −0.709735 | + | 1.22930i | 0.255220 | + | 0.966883i | \(0.417852\pi\) |
−0.964955 | + | 0.262415i | \(0.915481\pi\) | |||||||
\(678\) | −11217.2 | + | 2635.37i | −0.635387 | + | 0.149278i | ||||
\(679\) | 191.952 | + | 332.470i | 0.0108489 | + | 0.0187909i | ||||
\(680\) | −2376.00 | − | 4115.35i | −0.133993 | − | 0.232083i | ||||
\(681\) | −4489.89 | + | 14891.3i | −0.252648 | + | 0.837937i | ||||
\(682\) | 494.829 | − | 857.068i | 0.0277829 | − | 0.0481215i | ||||
\(683\) | −4846.23 | −0.271502 | −0.135751 | − | 0.990743i | \(-0.543345\pi\) | ||||
−0.135751 | + | 0.990743i | \(0.543345\pi\) | |||||||
\(684\) | 5374.63 | + | 3565.13i | 0.300445 | + | 0.199292i | ||||
\(685\) | −13078.5 | −0.729494 | ||||||||
\(686\) | 2316.54 | − | 4012.36i | 0.128930 | − | 0.223313i | ||||
\(687\) | −15320.1 | − | 16302.1i | −0.850798 | − | 0.905331i | ||||
\(688\) | −684.303 | − | 1185.25i | −0.0379198 | − | 0.0656790i | ||||
\(689\) | −9251.54 | − | 16024.1i | −0.511546 | − | 0.886024i | ||||
\(690\) | −3599.83 | − | 3830.57i | −0.198613 | − | 0.211344i | ||||
\(691\) | −1742.29 | + | 3017.73i | −0.0959187 | + | 0.166136i | −0.909992 | − | 0.414627i | \(-0.863912\pi\) |
0.814073 | + | 0.580763i | \(0.197246\pi\) | |||||||
\(692\) | 13535.5 | 0.743560 | ||||||||
\(693\) | 6444.72 | + | 4274.94i | 0.353268 | + | 0.234331i | ||||
\(694\) | 1393.70 | 0.0762305 | ||||||||
\(695\) | −2395.12 | + | 4148.48i | −0.130723 | + | 0.226418i | ||||
\(696\) | −824.454 | + | 2734.40i | −0.0449006 | + | 0.148919i | ||||
\(697\) | 2548.04 | + | 4413.33i | 0.138470 | + | 0.239837i | ||||
\(698\) | 8342.49 | + | 14449.6i | 0.452390 | + | 0.783562i | ||||
\(699\) | 28232.8 | − | 6633.04i | 1.52770 | − | 0.358919i | ||||
\(700\) | 272.548 | − | 472.066i | 0.0147162 | − | 0.0254892i | ||||
\(701\) | 15701.4 | 0.845981 | 0.422991 | − | 0.906134i | \(-0.360980\pi\) | ||||
0.422991 | + | 0.906134i | \(0.360980\pi\) | |||||||
\(702\) | 5570.22 | − | 4618.58i | 0.299479 | − | 0.248315i | ||||
\(703\) | −7033.32 | −0.377335 | ||||||||
\(704\) | −2126.03 | + | 3682.39i | −0.113818 | + | 0.197138i | ||||
\(705\) | 3246.56 | − | 762.749i | 0.173436 | − | 0.0407472i | ||||
\(706\) | 2906.55 | + | 5034.29i | 0.154943 | + | 0.268368i | ||||
\(707\) | −2783.25 | − | 4820.73i | −0.148055 | − | 0.256439i | ||||
\(708\) | −7245.07 | + | 24029.2i | −0.384585 | + | 1.27552i | ||||
\(709\) | −7821.72 | + | 13547.6i | −0.414317 | + | 0.717618i | −0.995356 | − | 0.0962572i | \(-0.969313\pi\) |
0.581039 | + | 0.813875i | \(0.302646\pi\) | |||||||
\(710\) | −3848.67 | −0.203434 | ||||||||
\(711\) | 2159.48 | − | 34736.9i | 0.113905 | − | 1.83226i | ||||
\(712\) | −7841.98 | −0.412768 | ||||||||
\(713\) | −457.824 | + | 792.975i | −0.0240472 | + | 0.0416510i | ||||
\(714\) | 590.914 | + | 628.790i | 0.0309725 | + | 0.0329578i | ||||
\(715\) | −10911.1 | − | 18898.6i | −0.570703 | − | 0.988486i | ||||
\(716\) | 9246.27 | + | 16015.0i | 0.482611 | + | 0.835907i | ||||
\(717\) | 5016.05 | + | 5337.57i | 0.261266 | + | 0.278013i | ||||
\(718\) | −355.379 | + | 615.535i | −0.0184716 | + | 0.0319938i | ||||
\(719\) | −6964.13 | −0.361222 | −0.180611 | − | 0.983555i | \(-0.557807\pi\) | ||||
−0.180611 | + | 0.983555i | \(0.557807\pi\) | |||||||
\(720\) | 5604.46 | − | 2787.28i | 0.290091 | − | 0.144272i | ||||
\(721\) | 5586.66 | 0.288569 | ||||||||
\(722\) | −3659.86 | + | 6339.06i | −0.188651 | + | 0.326752i | ||||
\(723\) | 939.858 | − | 3117.16i | 0.0483454 | − | 0.160343i | ||||
\(724\) | 1197.20 | + | 2073.62i | 0.0614554 | + | 0.106444i | ||||
\(725\) | −247.063 | − | 427.925i | −0.0126561 | − | 0.0219210i | ||||
\(726\) | 12512.6 | − | 2939.73i | 0.639652 | − | 0.150281i | ||||
\(727\) | 7103.61 | − | 12303.8i | 0.362391 | − | 0.627680i | −0.625963 | − | 0.779853i | \(-0.715294\pi\) |
0.988354 | + | 0.152173i | \(0.0486272\pi\) | |||||||
\(728\) | −3725.53 | −0.189667 | ||||||||
\(729\) | 3645.00 | − | 19342.6i | 0.185185 | − | 0.982704i | ||||
\(730\) | 13172.8 | 0.667871 | ||||||||
\(731\) | −724.072 | + | 1254.13i | −0.0366358 | + | 0.0634551i | ||||
\(732\) | 16123.3 | − | 3788.03i | 0.814120 | − | 0.191270i | ||||
\(733\) | −13265.3 | − | 22976.1i | −0.668437 | − | 1.15777i | −0.978341 | − | 0.206998i | \(-0.933630\pi\) |
0.309905 | − | 0.950768i | \(-0.399703\pi\) | |||||||
\(734\) | −3167.43 | − | 5486.15i | −0.159280 | − | 0.275882i | ||||
\(735\) | −4929.19 | + | 16348.3i | −0.247368 | + | 0.820428i | ||||
\(736\) | 6597.36 | − | 11427.0i | 0.330410 | − | 0.572288i | ||||
\(737\) | 17041.4 | 0.851735 | ||||||||
\(738\) | 7148.72 | − | 3555.30i | 0.356569 | − | 0.177334i | ||||
\(739\) | −5683.47 | −0.282909 | −0.141455 | − | 0.989945i | \(-0.545178\pi\) | ||||
−0.141455 | + | 0.989945i | \(0.545178\pi\) | |||||||
\(740\) | −5713.38 | + | 9895.86i | −0.283822 | + | 0.491594i | ||||
\(741\) | 5222.78 | + | 5557.55i | 0.258925 | + | 0.275522i | ||||
\(742\) | −1728.44 | − | 2993.74i | −0.0855161 | − | 0.148118i | ||||
\(743\) | 7784.28 | + | 13482.8i | 0.384358 | + | 0.665727i | 0.991680 | − | 0.128729i | \(-0.0410896\pi\) |
−0.607322 | + | 0.794456i | \(0.707756\pi\) | |||||||
\(744\) | 888.097 | + | 945.022i | 0.0437624 | + | 0.0465674i | ||||
\(745\) | −7568.25 | + | 13108.6i | −0.372187 | + | 0.644647i | ||||
\(746\) | −6539.50 | −0.320949 | ||||||||
\(747\) | −1195.86 | + | 19236.4i | −0.0585734 | + | 0.942199i | ||||
\(748\) | −8097.82 | −0.395836 | ||||||||
\(749\) | −2633.01 | + | 4560.51i | −0.128449 | + | 0.222480i | ||||
\(750\) | 3040.65 | − | 10084.7i | 0.148039 | − | 0.490988i | ||||
\(751\) | 4130.82 | + | 7154.79i | 0.200713 | + | 0.347646i | 0.948758 | − | 0.316002i | \(-0.102341\pi\) |
−0.748045 | + | 0.663648i | \(0.769007\pi\) | |||||||
\(752\) | 691.499 | + | 1197.71i | 0.0335324 | + | 0.0580798i | ||||
\(753\) | −8627.27 | + | 2026.90i | −0.417523 | + | 0.0980933i | ||||
\(754\) | −731.666 | + | 1267.28i | −0.0353391 | + | 0.0612092i | ||||
\(755\) | 15987.0 | 0.770630 | ||||||||
\(756\) | −3380.29 | + | 2802.78i | −0.162619 | + | 0.134836i | ||||
\(757\) | −13381.5 | −0.642481 | −0.321240 | − | 0.946998i | \(-0.604100\pi\) | ||||
−0.321240 | + | 0.946998i | \(0.604100\pi\) | |||||||
\(758\) | −1372.51 | + | 2377.25i | −0.0657674 | + | 0.113913i | ||||
\(759\) | −20125.2 | + | 4728.24i | −0.962451 | + | 0.226119i | ||||
\(760\) | −3923.41 | − | 6795.55i | −0.187259 | − | 0.324343i | ||||
\(761\) | −2724.92 | − | 4719.70i | −0.129801 | − | 0.224821i | 0.793799 | − | 0.608181i | \(-0.208100\pi\) |
−0.923599 | + | 0.383359i | \(0.874767\pi\) | |||||||
\(762\) | 2482.67 | − | 8234.08i | 0.118028 | − | 0.391456i | ||||
\(763\) | 4545.08 | − | 7872.31i | 0.215652 | − | 0.373521i | ||||
\(764\) | −21320.8 | −1.00963 | ||||||||
\(765\) | −5519.23 | − | 3661.04i | −0.260847 | − | 0.173026i |