Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(22,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 20]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.22");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(170\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 22.9 | ||
Character | \(\chi\) | \(=\) | 201.22 |
Dual form | 201.4.i.a.64.9 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0808466 | − | 0.0237387i | 0.0285836 | − | 0.00839290i | −0.267410 | − | 0.963583i | \(-0.586168\pi\) |
0.295993 | + | 0.955190i | \(0.404349\pi\) | |||||||
\(3\) | −0.426945 | − | 2.96946i | −0.0821655 | − | 0.571474i | ||||
\(4\) | −6.72406 | + | 4.32129i | −0.840507 | + | 0.540161i | ||||
\(5\) | −8.02393 | + | 17.5699i | −0.717682 | + | 1.57150i | 0.0994432 | + | 0.995043i | \(0.468294\pi\) |
−0.817125 | + | 0.576461i | \(0.804433\pi\) | |||||||
\(6\) | −0.105008 | − | 0.229936i | −0.00714491 | − | 0.0156452i | ||||
\(7\) | 6.29283 | − | 1.84774i | 0.339781 | − | 0.0997687i | −0.107390 | − | 0.994217i | \(-0.534250\pi\) |
0.447172 | + | 0.894448i | \(0.352431\pi\) | |||||||
\(8\) | −0.882462 | + | 1.01842i | −0.0389997 | + | 0.0450080i | ||||
\(9\) | −8.63544 | + | 2.53559i | −0.319831 | + | 0.0939109i | ||||
\(10\) | −0.231619 | + | 1.61095i | −0.00732445 | + | 0.0509427i | ||||
\(11\) | 11.7781 | − | 25.7904i | 0.322838 | − | 0.706917i | −0.676732 | − | 0.736229i | \(-0.736604\pi\) |
0.999570 | + | 0.0293121i | \(0.00933167\pi\) | |||||||
\(12\) | 15.7027 | + | 18.1219i | 0.377748 | + | 0.435945i | ||||
\(13\) | −50.0029 | − | 57.7064i | −1.06679 | − | 1.23114i | −0.971835 | − | 0.235663i | \(-0.924274\pi\) |
−0.0949578 | − | 0.995481i | \(-0.530272\pi\) | |||||||
\(14\) | 0.464891 | − | 0.298768i | 0.00887482 | − | 0.00570350i | ||||
\(15\) | 55.5991 | + | 16.3254i | 0.957042 | + | 0.281013i | ||||
\(16\) | 26.5158 | − | 58.0615i | 0.414309 | − | 0.907211i | ||||
\(17\) | 50.6870 | + | 32.5745i | 0.723141 | + | 0.464734i | 0.849728 | − | 0.527221i | \(-0.176766\pi\) |
−0.126587 | + | 0.991955i | \(0.540402\pi\) | |||||||
\(18\) | −0.637954 | + | 0.409988i | −0.00835373 | + | 0.00536862i | ||||
\(19\) | 41.0506 | + | 12.0535i | 0.495666 | + | 0.145541i | 0.520005 | − | 0.854163i | \(-0.325930\pi\) |
−0.0243391 | + | 0.999704i | \(0.507748\pi\) | |||||||
\(20\) | −21.9715 | − | 152.815i | −0.245649 | − | 1.70852i | ||||
\(21\) | −8.17350 | − | 17.8975i | −0.0849335 | − | 0.185978i | ||||
\(22\) | 0.339987 | − | 2.36466i | 0.00329479 | − | 0.0229158i | ||||
\(23\) | −17.0280 | − | 118.432i | −0.154373 | − | 1.07369i | −0.908779 | − | 0.417279i | \(-0.862984\pi\) |
0.754406 | − | 0.656408i | \(-0.227925\pi\) | |||||||
\(24\) | 3.40091 | + | 2.18563i | 0.0289253 | + | 0.0185892i | ||||
\(25\) | −162.462 | − | 187.491i | −1.29970 | − | 1.49993i | ||||
\(26\) | −5.41244 | − | 3.47836i | −0.0408256 | − | 0.0262370i | ||||
\(27\) | 11.2162 | + | 24.5601i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −34.3287 | + | 39.6175i | −0.231697 | + | 0.267393i | ||||
\(29\) | −40.1170 | −0.256880 | −0.128440 | − | 0.991717i | \(-0.540997\pi\) | ||||
−0.128440 | + | 0.991717i | \(0.540997\pi\) | |||||||
\(30\) | 4.88254 | 0.0297142 | ||||||||
\(31\) | 12.0283 | − | 13.8813i | 0.0696883 | − | 0.0804246i | −0.719835 | − | 0.694145i | \(-0.755782\pi\) |
0.789523 | + | 0.613721i | \(0.210328\pi\) | |||||||
\(32\) | 2.29963 | − | 15.9943i | 0.0127038 | − | 0.0883566i | ||||
\(33\) | −81.6122 | − | 23.9635i | −0.430511 | − | 0.126409i | ||||
\(34\) | 4.87115 | + | 1.43030i | 0.0245704 | + | 0.00721453i | ||||
\(35\) | −18.0285 | + | 125.391i | −0.0870678 | + | 0.605570i | ||||
\(36\) | 47.1081 | − | 54.3657i | 0.218093 | − | 0.251693i | ||||
\(37\) | −43.1585 | −0.191763 | −0.0958813 | − | 0.995393i | \(-0.530567\pi\) | ||||
−0.0958813 | + | 0.995393i | \(0.530567\pi\) | |||||||
\(38\) | 3.60494 | 0.0153894 | ||||||||
\(39\) | −150.009 | + | 173.119i | −0.615913 | + | 0.710802i | ||||
\(40\) | −10.8127 | − | 23.6765i | −0.0427409 | − | 0.0935896i | ||||
\(41\) | −204.742 | − | 131.580i | −0.779886 | − | 0.501202i | 0.0891098 | − | 0.996022i | \(-0.471598\pi\) |
−0.868996 | + | 0.494820i | \(0.835234\pi\) | |||||||
\(42\) | −1.08566 | − | 1.25292i | −0.00398860 | − | 0.00460309i | ||||
\(43\) | −28.2031 | − | 18.1250i | −0.100022 | − | 0.0642800i | 0.489674 | − | 0.871906i | \(-0.337116\pi\) |
−0.589695 | + | 0.807626i | \(0.700752\pi\) | |||||||
\(44\) | 32.2513 | + | 224.312i | 0.110501 | + | 0.768554i | ||||
\(45\) | 24.7399 | − | 172.070i | 0.0819556 | − | 0.570014i | ||||
\(46\) | −4.18808 | − | 9.17061i | −0.0134239 | − | 0.0293942i | ||||
\(47\) | −15.5732 | − | 108.314i | −0.0483315 | − | 0.336153i | −0.999613 | − | 0.0278285i | \(-0.991141\pi\) |
0.951281 | − | 0.308325i | \(-0.0997683\pi\) | |||||||
\(48\) | −183.732 | − | 53.9487i | −0.552489 | − | 0.162225i | ||||
\(49\) | −252.364 | + | 162.185i | −0.735756 | + | 0.472842i | ||||
\(50\) | −17.5853 | − | 11.3014i | −0.0497388 | − | 0.0319652i | ||||
\(51\) | 75.0884 | − | 164.421i | 0.206166 | − | 0.451441i | ||||
\(52\) | 585.588 | + | 171.944i | 1.56166 | + | 0.458546i | ||||
\(53\) | 381.142 | − | 244.945i | 0.987810 | − | 0.634827i | 0.0562506 | − | 0.998417i | \(-0.482085\pi\) |
0.931559 | + | 0.363590i | \(0.118449\pi\) | |||||||
\(54\) | 1.48982 | + | 1.71934i | 0.00375441 | + | 0.00433282i | ||||
\(55\) | 358.629 | + | 413.880i | 0.879228 | + | 1.01468i | ||||
\(56\) | −3.67142 | + | 8.03929i | −0.00876096 | + | 0.0191838i | ||||
\(57\) | 18.2662 | − | 127.045i | 0.0424460 | − | 0.295219i | ||||
\(58\) | −3.24332 | + | 0.952325i | −0.00734256 | + | 0.00215597i | ||||
\(59\) | 387.615 | − | 447.332i | 0.855308 | − | 0.987078i | −0.144689 | − | 0.989477i | \(-0.546218\pi\) |
0.999997 | + | 0.00239917i | \(0.000763680\pi\) | |||||||
\(60\) | −444.398 | + | 130.487i | −0.956192 | + | 0.280763i | ||||
\(61\) | −185.319 | − | 405.791i | −0.388978 | − | 0.851742i | −0.998270 | − | 0.0587964i | \(-0.981274\pi\) |
0.609292 | − | 0.792946i | \(-0.291454\pi\) | |||||||
\(62\) | 0.642918 | − | 1.40779i | 0.00131695 | − | 0.00288371i | ||||
\(63\) | −49.6563 | + | 31.9121i | −0.0993032 | + | 0.0638183i | ||||
\(64\) | 72.4775 | + | 504.092i | 0.141558 | + | 0.984555i | ||||
\(65\) | 1415.12 | − | 415.516i | 2.70037 | − | 0.792899i | ||||
\(66\) | −7.16693 | −0.0133665 | ||||||||
\(67\) | −78.4850 | + | 542.774i | −0.143111 | + | 0.989707i | ||||
\(68\) | −481.586 | −0.858836 | ||||||||
\(69\) | −344.410 | + | 101.128i | −0.600900 | + | 0.176440i | ||||
\(70\) | 1.51908 | + | 10.5654i | 0.00259378 | + | 0.0180401i | ||||
\(71\) | 633.999 | − | 407.446i | 1.05974 | − | 0.681056i | 0.109951 | − | 0.993937i | \(-0.464930\pi\) |
0.949792 | + | 0.312881i | \(0.101294\pi\) | |||||||
\(72\) | 5.03816 | − | 11.0320i | 0.00824657 | − | 0.0180575i | ||||
\(73\) | −376.126 | − | 823.600i | −0.603043 | − | 1.32048i | −0.927232 | − | 0.374488i | \(-0.877818\pi\) |
0.324188 | − | 0.945993i | \(-0.394909\pi\) | |||||||
\(74\) | −3.48922 | + | 1.02453i | −0.00548127 | + | 0.00160944i | ||||
\(75\) | −487.386 | + | 562.474i | −0.750380 | + | 0.865985i | ||||
\(76\) | −328.113 | + | 96.3428i | −0.495226 | + | 0.145412i | ||||
\(77\) | 26.4635 | − | 184.057i | 0.0391661 | − | 0.272406i | ||||
\(78\) | −8.01806 | + | 17.5571i | −0.0116393 | + | 0.0254866i | ||||
\(79\) | −177.331 | − | 204.651i | −0.252548 | − | 0.291456i | 0.615293 | − | 0.788299i | \(-0.289038\pi\) |
−0.867840 | + | 0.496843i | \(0.834492\pi\) | |||||||
\(80\) | 807.377 | + | 931.762i | 1.12834 | + | 1.30218i | ||||
\(81\) | 68.1415 | − | 43.7919i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −19.6762 | − | 5.77746i | −0.0264985 | − | 0.00778066i | ||||
\(83\) | −448.331 | + | 981.708i | −0.592900 | + | 1.29827i | 0.340773 | + | 0.940146i | \(0.389311\pi\) |
−0.933674 | + | 0.358125i | \(0.883416\pi\) | |||||||
\(84\) | 132.299 | + | 85.0235i | 0.171845 | + | 0.110438i | ||||
\(85\) | −979.041 | + | 629.192i | −1.24932 | + | 0.802887i | ||||
\(86\) | −2.71039 | − | 0.795841i | −0.00339847 | − | 0.000997881i | ||||
\(87\) | 17.1277 | + | 119.126i | 0.0211067 | + | 0.146800i | ||||
\(88\) | 15.8716 | + | 34.7540i | 0.0192264 | + | 0.0420999i | ||||
\(89\) | −118.907 | + | 827.013i | −0.141619 | + | 0.984980i | 0.787794 | + | 0.615939i | \(0.211223\pi\) |
−0.929413 | + | 0.369041i | \(0.879686\pi\) | |||||||
\(90\) | −2.08457 | − | 14.4985i | −0.00244148 | − | 0.0169809i | ||||
\(91\) | −421.286 | − | 270.744i | −0.485306 | − | 0.311887i | ||||
\(92\) | 626.276 | + | 722.761i | 0.709715 | + | 0.819055i | ||||
\(93\) | −46.3556 | − | 29.7909i | −0.0516865 | − | 0.0332169i | ||||
\(94\) | −3.83027 | − | 8.38712i | −0.00420279 | − | 0.00920283i | ||||
\(95\) | −541.167 | + | 624.540i | −0.584448 | + | 0.674489i | ||||
\(96\) | −48.4762 | −0.0515373 | ||||||||
\(97\) | −940.202 | −0.984155 | −0.492077 | − | 0.870551i | \(-0.663762\pi\) | ||||
−0.492077 | + | 0.870551i | \(0.663762\pi\) | |||||||
\(98\) | −16.5527 | + | 19.1029i | −0.0170620 | + | 0.0196906i | ||||
\(99\) | −36.3149 | + | 252.576i | −0.0368665 | + | 0.256412i | ||||
\(100\) | 1902.61 | + | 558.656i | 1.90261 | + | 0.558656i | ||||
\(101\) | 1268.37 | + | 372.427i | 1.24958 | + | 0.366910i | 0.838606 | − | 0.544738i | \(-0.183371\pi\) |
0.410973 | + | 0.911648i | \(0.365189\pi\) | |||||||
\(102\) | 2.16751 | − | 15.0754i | 0.00210407 | − | 0.0146341i | ||||
\(103\) | −1342.40 | + | 1549.21i | −1.28418 | + | 1.48202i | −0.493563 | + | 0.869710i | \(0.664306\pi\) |
−0.790616 | + | 0.612312i | \(0.790240\pi\) | |||||||
\(104\) | 102.895 | 0.0970160 | ||||||||
\(105\) | 380.041 | 0.353221 | ||||||||
\(106\) | 24.9994 | − | 28.8508i | 0.0229071 | − | 0.0264362i | ||||
\(107\) | −729.008 | − | 1596.30i | −0.658653 | − | 1.44225i | −0.883772 | − | 0.467917i | \(-0.845005\pi\) |
0.225120 | − | 0.974331i | \(-0.427723\pi\) | |||||||
\(108\) | −181.550 | − | 116.675i | −0.161756 | − | 0.103954i | ||||
\(109\) | −1362.30 | − | 1572.18i | −1.19711 | − | 1.38154i | −0.905140 | − | 0.425113i | \(-0.860234\pi\) |
−0.291971 | − | 0.956427i | \(-0.594311\pi\) | |||||||
\(110\) | 38.8189 | + | 24.9474i | 0.0336476 | + | 0.0216240i | ||||
\(111\) | 18.4263 | + | 128.158i | 0.0157563 | + | 0.109587i | ||||
\(112\) | 59.5768 | − | 414.366i | 0.0502632 | − | 0.349588i | ||||
\(113\) | −561.160 | − | 1228.77i | −0.467164 | − | 1.02295i | −0.985796 | − | 0.167948i | \(-0.946286\pi\) |
0.518632 | − | 0.854997i | \(-0.326441\pi\) | |||||||
\(114\) | −1.53911 | − | 10.7047i | −0.00126448 | − | 0.00879465i | ||||
\(115\) | 2217.48 | + | 651.110i | 1.79809 | + | 0.527968i | ||||
\(116\) | 269.749 | − | 173.357i | 0.215910 | − | 0.138757i | ||||
\(117\) | 578.117 | + | 371.533i | 0.456811 | + | 0.293575i | ||||
\(118\) | 20.7183 | − | 45.3667i | 0.0161633 | − | 0.0353927i | ||||
\(119\) | 379.154 | + | 111.330i | 0.292076 | + | 0.0857611i | ||||
\(120\) | −65.6901 | + | 42.2165i | −0.0499722 | + | 0.0321152i | ||||
\(121\) | 345.199 | + | 398.381i | 0.259353 | + | 0.299309i | ||||
\(122\) | −24.6154 | − | 28.4076i | −0.0182670 | − | 0.0210812i | ||||
\(123\) | −303.308 | + | 664.151i | −0.222344 | + | 0.486866i | ||||
\(124\) | −20.8934 | + | 145.316i | −0.0151313 | + | 0.105240i | ||||
\(125\) | 2281.16 | − | 669.810i | 1.63227 | − | 0.479277i | ||||
\(126\) | −3.25699 | + | 3.75876i | −0.00230282 | + | 0.00265760i | ||||
\(127\) | −1003.05 | + | 294.523i | −0.700838 | + | 0.205785i | −0.612691 | − | 0.790323i | \(-0.709913\pi\) |
−0.0881475 | + | 0.996107i | \(0.528095\pi\) | |||||||
\(128\) | 71.5267 | + | 156.622i | 0.0493916 | + | 0.108153i | ||||
\(129\) | −41.7804 | + | 91.4864i | −0.0285160 | + | 0.0624413i | ||||
\(130\) | 104.544 | − | 67.1861i | 0.0705314 | − | 0.0453278i | ||||
\(131\) | 56.7943 | + | 395.013i | 0.0378789 | + | 0.263454i | 0.999957 | − | 0.00932210i | \(-0.00296736\pi\) |
−0.962078 | + | 0.272776i | \(0.912058\pi\) | |||||||
\(132\) | 652.318 | − | 191.538i | 0.430129 | − | 0.126297i | ||||
\(133\) | 280.597 | 0.182938 | ||||||||
\(134\) | 6.53950 | + | 45.7445i | 0.00421587 | + | 0.0294905i | ||||
\(135\) | −521.517 | −0.332482 | ||||||||
\(136\) | −77.9038 | + | 22.8746i | −0.0491191 | + | 0.0144227i | ||||
\(137\) | −82.2617 | − | 572.143i | −0.0513000 | − | 0.356799i | −0.999262 | − | 0.0384153i | \(-0.987769\pi\) |
0.947962 | − | 0.318384i | \(-0.103140\pi\) | |||||||
\(138\) | −25.4437 | + | 16.3517i | −0.0156950 | + | 0.0100866i | ||||
\(139\) | 235.498 | − | 515.668i | 0.143703 | − | 0.314665i | −0.824071 | − | 0.566486i | \(-0.808302\pi\) |
0.967774 | + | 0.251822i | \(0.0810296\pi\) | |||||||
\(140\) | −420.626 | − | 921.042i | −0.253924 | − | 0.556016i | ||||
\(141\) | −314.985 | + | 92.4880i | −0.188132 | + | 0.0552404i | ||||
\(142\) | 41.5844 | − | 47.9910i | 0.0245752 | − | 0.0283613i | ||||
\(143\) | −2077.21 | + | 609.923i | −1.21472 | + | 0.356674i | ||||
\(144\) | −81.7552 | + | 568.620i | −0.0473120 | + | 0.329062i | ||||
\(145\) | 321.895 | − | 704.853i | 0.184358 | − | 0.403688i | ||||
\(146\) | −49.9597 | − | 57.6565i | −0.0283198 | − | 0.0326828i | ||||
\(147\) | 589.347 | + | 680.143i | 0.330670 | + | 0.381614i | ||||
\(148\) | 290.200 | − | 186.500i | 0.161178 | − | 0.103583i | ||||
\(149\) | −186.568 | − | 54.7813i | −0.102579 | − | 0.0301199i | 0.230040 | − | 0.973181i | \(-0.426114\pi\) |
−0.332619 | + | 0.943061i | \(0.607932\pi\) | |||||||
\(150\) | −26.0511 | + | 57.0440i | −0.0141804 | + | 0.0310508i | ||||
\(151\) | −291.575 | − | 187.384i | −0.157139 | − | 0.100987i | 0.459708 | − | 0.888070i | \(-0.347954\pi\) |
−0.616847 | + | 0.787083i | \(0.711590\pi\) | |||||||
\(152\) | −48.5011 | + | 31.1698i | −0.0258813 | + | 0.0166329i | ||||
\(153\) | −520.300 | − | 152.774i | −0.274926 | − | 0.0807257i | ||||
\(154\) | −2.22980 | − | 15.5086i | −0.00116677 | − | 0.00811507i | ||||
\(155\) | 147.381 | + | 322.719i | 0.0763736 | + | 0.167235i | ||||
\(156\) | 260.569 | − | 1812.29i | 0.133732 | − | 0.930126i | ||||
\(157\) | −505.209 | − | 3513.80i | −0.256816 | − | 1.78619i | −0.555171 | − | 0.831736i | \(-0.687347\pi\) |
0.298355 | − | 0.954455i | \(-0.403562\pi\) | |||||||
\(158\) | −19.1947 | − | 12.3357i | −0.00966489 | − | 0.00621124i | ||||
\(159\) | −890.083 | − | 1027.21i | −0.443951 | − | 0.512346i | ||||
\(160\) | 262.566 | + | 168.741i | 0.129735 | + | 0.0833759i | ||||
\(161\) | −325.986 | − | 713.810i | −0.159573 | − | 0.349417i | ||||
\(162\) | 4.46945 | − | 5.15802i | 0.00216761 | − | 0.00250156i | ||||
\(163\) | 542.822 | 0.260841 | 0.130421 | − | 0.991459i | \(-0.458367\pi\) | ||||
0.130421 | + | 0.991459i | \(0.458367\pi\) | |||||||
\(164\) | 1945.29 | 0.926230 | ||||||||
\(165\) | 1075.89 | − | 1241.64i | 0.507623 | − | 0.585828i | ||||
\(166\) | −12.9416 | + | 90.0106i | −0.00605097 | + | 0.0420854i | ||||
\(167\) | −2829.13 | − | 830.706i | −1.31092 | − | 0.384922i | −0.449715 | − | 0.893172i | \(-0.648474\pi\) |
−0.861209 | + | 0.508250i | \(0.830293\pi\) | |||||||
\(168\) | 25.4399 | + | 7.46982i | 0.0116829 | + | 0.00343041i | ||||
\(169\) | −517.075 | + | 3596.34i | −0.235355 | + | 1.63693i | ||||
\(170\) | −64.2160 | + | 74.1092i | −0.0289714 | + | 0.0334348i | ||||
\(171\) | −385.053 | −0.172197 | ||||||||
\(172\) | 267.962 | 0.118790 | ||||||||
\(173\) | −187.314 | + | 216.172i | −0.0823194 | + | 0.0950016i | −0.795415 | − | 0.606065i | \(-0.792747\pi\) |
0.713096 | + | 0.701067i | \(0.247293\pi\) | |||||||
\(174\) | 4.21261 | + | 9.22433i | 0.00183539 | + | 0.00401894i | ||||
\(175\) | −1368.78 | − | 879.663i | −0.591258 | − | 0.379979i | ||||
\(176\) | −1185.12 | − | 1367.70i | −0.507568 | − | 0.585765i | ||||
\(177\) | −1493.83 | − | 960.023i | −0.634366 | − | 0.407682i | ||||
\(178\) | 10.0190 | + | 69.6839i | 0.00421887 | + | 0.0293429i | ||||
\(179\) | 647.581 | − | 4504.03i | 0.270405 | − | 1.88071i | −0.173797 | − | 0.984781i | \(-0.555604\pi\) |
0.444202 | − | 0.895927i | \(-0.353487\pi\) | |||||||
\(180\) | 577.210 | + | 1263.91i | 0.239015 | + | 0.523370i | ||||
\(181\) | 575.534 | + | 4002.93i | 0.236349 | + | 1.64384i | 0.669711 | + | 0.742622i | \(0.266418\pi\) |
−0.433363 | + | 0.901220i | \(0.642673\pi\) | |||||||
\(182\) | −40.4867 | − | 11.8880i | −0.0164894 | − | 0.00484173i | ||||
\(183\) | −1125.86 | + | 723.548i | −0.454788 | + | 0.292274i | ||||
\(184\) | 135.640 | + | 87.1703i | 0.0543451 | + | 0.0349254i | ||||
\(185\) | 346.301 | − | 758.293i | 0.137625 | − | 0.301356i | ||||
\(186\) | −4.45489 | − | 1.30807i | −0.00175617 | − | 0.000515659i | ||||
\(187\) | 1437.10 | − | 923.571i | 0.561986 | − | 0.361167i | ||||
\(188\) | 572.770 | + | 661.012i | 0.222200 | + | 0.256432i | ||||
\(189\) | 115.962 | + | 133.828i | 0.0446298 | + | 0.0515055i | ||||
\(190\) | −28.9258 | + | 63.3386i | −0.0110447 | + | 0.0241845i | ||||
\(191\) | −412.965 | + | 2872.24i | −0.156446 | + | 1.08810i | 0.748672 | + | 0.662941i | \(0.230692\pi\) |
−0.905117 | + | 0.425162i | \(0.860217\pi\) | |||||||
\(192\) | 1465.94 | − | 430.439i | 0.551016 | − | 0.161793i | ||||
\(193\) | 286.733 | − | 330.908i | 0.106940 | − | 0.123416i | −0.699756 | − | 0.714382i | \(-0.746708\pi\) |
0.806696 | + | 0.590966i | \(0.201253\pi\) | |||||||
\(194\) | −76.0121 | + | 22.3192i | −0.0281307 | + | 0.00825991i | ||||
\(195\) | −1838.04 | − | 4024.74i | −0.674998 | − | 1.47804i | ||||
\(196\) | 996.065 | − | 2181.08i | 0.362997 | − | 0.794854i | ||||
\(197\) | −1303.62 | + | 837.787i | −0.471468 | + | 0.302994i | −0.754715 | − | 0.656053i | \(-0.772225\pi\) |
0.283247 | + | 0.959047i | \(0.408588\pi\) | |||||||
\(198\) | 3.05988 | + | 21.2819i | 0.00109826 | + | 0.00763860i | ||||
\(199\) | 853.025 | − | 250.471i | 0.303866 | − | 0.0892231i | −0.126245 | − | 0.991999i | \(-0.540293\pi\) |
0.430111 | + | 0.902776i | \(0.358474\pi\) | |||||||
\(200\) | 334.311 | 0.118197 | ||||||||
\(201\) | 1645.26 | + | 1.32415i | 0.577350 | + | 0.000464669i | ||||
\(202\) | 111.384 | 0.0387969 | ||||||||
\(203\) | −252.449 | + | 74.1258i | −0.0872831 | + | 0.0256286i | ||||
\(204\) | 205.610 | + | 1430.05i | 0.0705667 | + | 0.490802i | ||||
\(205\) | 3954.68 | − | 2541.52i | 1.34735 | − | 0.865890i | ||||
\(206\) | −71.7521 | + | 157.115i | −0.0242680 | + | 0.0531395i | ||||
\(207\) | 447.340 | + | 979.537i | 0.150204 | + | 0.328901i | ||||
\(208\) | −4676.39 | + | 1373.11i | −1.55889 | + | 0.457731i | ||||
\(209\) | 794.363 | − | 916.743i | 0.262905 | − | 0.303409i | ||||
\(210\) | 30.7250 | − | 9.02168i | 0.0100963 | − | 0.00296455i | ||||
\(211\) | 324.087 | − | 2254.07i | 0.105740 | − | 0.735435i | −0.866113 | − | 0.499848i | \(-0.833389\pi\) |
0.971853 | − | 0.235588i | \(-0.0757015\pi\) | |||||||
\(212\) | −1504.34 | + | 3294.05i | −0.487352 | + | 1.06715i | ||||
\(213\) | −1480.58 | − | 1708.68i | −0.476280 | − | 0.549656i | ||||
\(214\) | −96.8320 | − | 111.750i | −0.0309313 | − | 0.0356966i | ||||
\(215\) | 544.755 | − | 350.093i | 0.172800 | − | 0.111052i | ||||
\(216\) | −34.9102 | − | 10.2506i | −0.0109969 | − | 0.00322900i | ||||
\(217\) | 50.0427 | − | 109.578i | 0.0156549 | − | 0.0342795i | ||||
\(218\) | −147.459 | − | 94.7664i | −0.0458129 | − | 0.0294421i | ||||
\(219\) | −2285.07 | + | 1468.52i | −0.705071 | + | 0.453121i | ||||
\(220\) | −4199.94 | − | 1233.21i | −1.28709 | − | 0.377924i | ||||
\(221\) | −654.735 | − | 4553.78i | −0.199286 | − | 1.38607i | ||||
\(222\) | 4.53200 | + | 9.92370i | 0.00137013 | + | 0.00300016i | ||||
\(223\) | 406.884 | − | 2829.94i | 0.122184 | − | 0.849807i | −0.832890 | − | 0.553439i | \(-0.813315\pi\) |
0.955074 | − | 0.296368i | \(-0.0957755\pi\) | |||||||
\(224\) | −15.0821 | − | 104.898i | −0.00449873 | − | 0.0312893i | ||||
\(225\) | 1878.33 | + | 1207.13i | 0.556543 | + | 0.357668i | ||||
\(226\) | −74.5372 | − | 86.0206i | −0.0219387 | − | 0.0253186i | ||||
\(227\) | 961.403 | + | 617.856i | 0.281104 | + | 0.180655i | 0.673594 | − | 0.739102i | \(-0.264750\pi\) |
−0.392490 | + | 0.919756i | \(0.628386\pi\) | |||||||
\(228\) | 426.173 | + | 933.188i | 0.123789 | + | 0.271061i | ||||
\(229\) | −1326.24 | + | 1530.56i | −0.382709 | + | 0.441670i | −0.914120 | − | 0.405445i | \(-0.867117\pi\) |
0.531410 | + | 0.847114i | \(0.321662\pi\) | |||||||
\(230\) | 194.732 | 0.0558272 | ||||||||
\(231\) | −557.850 | −0.158891 | ||||||||
\(232\) | 35.4017 | − | 40.8557i | 0.0100183 | − | 0.0115617i | ||||
\(233\) | −656.353 | + | 4565.03i | −0.184545 | + | 1.28354i | 0.661303 | + | 0.750119i | \(0.270004\pi\) |
−0.845849 | + | 0.533423i | \(0.820905\pi\) | |||||||
\(234\) | 55.5585 | + | 16.3134i | 0.0155212 | + | 0.00455745i | ||||
\(235\) | 2028.03 | + | 595.482i | 0.562953 | + | 0.165298i | ||||
\(236\) | −673.296 | + | 4682.88i | −0.185711 | + | 1.29165i | ||||
\(237\) | −531.993 | + | 613.952i | −0.145809 | + | 0.168272i | ||||
\(238\) | 33.2961 | 0.00906835 | ||||||||
\(239\) | 2230.84 | 0.603769 | 0.301885 | − | 0.953344i | \(-0.402384\pi\) | ||||
0.301885 | + | 0.953344i | \(0.402384\pi\) | |||||||
\(240\) | 2422.13 | − | 2795.29i | 0.651449 | − | 0.751812i | ||||
\(241\) | 2189.56 | + | 4794.46i | 0.585235 | + | 1.28149i | 0.938279 | + | 0.345880i | \(0.112420\pi\) |
−0.353043 | + | 0.935607i | \(0.614853\pi\) | |||||||
\(242\) | 37.3652 | + | 24.0132i | 0.00992532 | + | 0.00637862i | ||||
\(243\) | −159.131 | − | 183.647i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | 2999.63 | + | 1927.75i | 0.787016 | + | 0.505785i | ||||
\(245\) | −824.624 | − | 5735.39i | −0.215034 | − | 1.49559i | ||||
\(246\) | −8.75531 | + | 60.8945i | −0.00226918 | + | 0.0157825i | ||||
\(247\) | −1357.08 | − | 2971.60i | −0.349591 | − | 0.765498i | ||||
\(248\) | 3.52250 | + | 24.4995i | 0.000901932 | + | 0.00627307i | ||||
\(249\) | 3106.56 | + | 912.168i | 0.790644 | + | 0.232154i | ||||
\(250\) | 168.524 | − | 108.304i | 0.0426336 | − | 0.0273989i | ||||
\(251\) | 2868.80 | + | 1843.67i | 0.721424 | + | 0.463631i | 0.849132 | − | 0.528181i | \(-0.177126\pi\) |
−0.127708 | + | 0.991812i | \(0.540762\pi\) | |||||||
\(252\) | 195.990 | − | 429.158i | 0.0489929 | − | 0.107279i | ||||
\(253\) | −3254.97 | − | 955.744i | −0.808846 | − | 0.237499i | ||||
\(254\) | −74.1018 | + | 47.6223i | −0.0183053 | + | 0.0117641i | ||||
\(255\) | 2286.36 | + | 2638.60i | 0.561480 | + | 0.647982i | ||||
\(256\) | −2658.54 | − | 3068.11i | −0.649057 | − | 0.749052i | ||||
\(257\) | 144.285 | − | 315.941i | 0.0350205 | − | 0.0766842i | −0.891313 | − | 0.453388i | \(-0.850215\pi\) |
0.926334 | + | 0.376704i | \(0.122943\pi\) | |||||||
\(258\) | −1.20604 | + | 8.38818i | −0.000291026 | + | 0.00202413i | ||||
\(259\) | −271.589 | + | 79.7459i | −0.0651573 | + | 0.0191319i | ||||
\(260\) | −7719.77 | + | 8909.09i | −1.84138 | + | 2.12507i | ||||
\(261\) | 346.427 | − | 101.720i | 0.0821583 | − | 0.0241239i | ||||
\(262\) | 13.9687 | + | 30.5872i | 0.00329386 | + | 0.00721254i | ||||
\(263\) | 1467.94 | − | 3214.33i | 0.344170 | − | 0.753628i | −0.655829 | − | 0.754909i | \(-0.727681\pi\) |
0.999999 | + | 0.00128193i | \(0.000408052\pi\) | |||||||
\(264\) | 96.4245 | − | 61.9683i | 0.0224792 | − | 0.0144465i | ||||
\(265\) | 1245.42 | + | 8662.07i | 0.288700 | + | 2.00795i | ||||
\(266\) | 22.6853 | − | 6.66100i | 0.00522904 | − | 0.00153538i | ||||
\(267\) | 2506.55 | 0.574526 | ||||||||
\(268\) | −1817.74 | − | 3988.80i | −0.414315 | − | 0.909158i | ||||
\(269\) | −2745.37 | −0.622262 | −0.311131 | − | 0.950367i | \(-0.600708\pi\) | ||||
−0.311131 | + | 0.950367i | \(0.600708\pi\) | |||||||
\(270\) | −42.1629 | + | 12.3801i | −0.00950352 | + | 0.00279049i | ||||
\(271\) | −788.702 | − | 5485.55i | −0.176791 | − | 1.22961i | −0.864130 | − | 0.503269i | \(-0.832130\pi\) |
0.687339 | − | 0.726337i | \(-0.258779\pi\) | |||||||
\(272\) | 3235.33 | − | 2079.22i | 0.721216 | − | 0.463497i | ||||
\(273\) | −624.100 | + | 1366.59i | −0.138360 | + | 0.302966i | ||||
\(274\) | −20.2325 | − | 44.3030i | −0.00446092 | − | 0.00976804i | ||||
\(275\) | −6748.96 | + | 1981.67i | −1.47992 | + | 0.434543i | ||||
\(276\) | 1878.83 | − | 2168.28i | 0.409754 | − | 0.472882i | ||||
\(277\) | 7292.60 | − | 2141.30i | 1.58184 | − | 0.464470i | 0.631421 | − | 0.775440i | \(-0.282472\pi\) |
0.950420 | + | 0.310970i | \(0.100654\pi\) | |||||||
\(278\) | 6.79790 | − | 47.2805i | 0.00146659 | − | 0.0102003i | ||||
\(279\) | −68.6718 | + | 150.370i | −0.0147357 | + | 0.0322668i | ||||
\(280\) | −111.791 | − | 129.013i | −0.0238599 | − | 0.0275358i | ||||
\(281\) | 1970.13 | + | 2273.65i | 0.418249 | + | 0.482685i | 0.925303 | − | 0.379229i | \(-0.123811\pi\) |
−0.507054 | + | 0.861915i | \(0.669265\pi\) | |||||||
\(282\) | −23.2699 | + | 14.9547i | −0.00491385 | + | 0.00315794i | ||||
\(283\) | −3115.23 | − | 914.713i | −0.654350 | − | 0.192134i | −0.0623273 | − | 0.998056i | \(-0.519852\pi\) |
−0.592023 | + | 0.805921i | \(0.701670\pi\) | |||||||
\(284\) | −2502.35 | + | 5479.38i | −0.522842 | + | 1.14486i | ||||
\(285\) | 2085.60 | + | 1340.33i | 0.433474 | + | 0.278577i | ||||
\(286\) | −153.456 | + | 98.6204i | −0.0317275 | + | 0.0203900i | ||||
\(287\) | −1531.53 | − | 449.699i | −0.314995 | − | 0.0924908i | ||||
\(288\) | 20.6966 | + | 143.948i | 0.00423459 | + | 0.0294522i | ||||
\(289\) | −532.866 | − | 1166.81i | −0.108460 | − | 0.237495i | ||||
\(290\) | 9.29186 | − | 64.6263i | 0.00188151 | − | 0.0130862i | ||||
\(291\) | 401.414 | + | 2791.90i | 0.0808636 | + | 0.562419i | ||||
\(292\) | 6088.10 | + | 3912.59i | 1.22013 | + | 0.784133i | ||||
\(293\) | 4216.17 | + | 4865.72i | 0.840653 | + | 0.970165i | 0.999854 | − | 0.0170812i | \(-0.00543739\pi\) |
−0.159201 | + | 0.987246i | \(0.550892\pi\) | |||||||
\(294\) | 63.7924 | + | 40.9969i | 0.0126546 | + | 0.00813261i | ||||
\(295\) | 4749.40 | + | 10399.7i | 0.937358 | + | 2.05253i | ||||
\(296\) | 38.0858 | − | 43.9533i | 0.00747869 | − | 0.00863086i | ||||
\(297\) | 765.519 | 0.149562 | ||||||||
\(298\) | −16.3838 | −0.00318487 | ||||||||
\(299\) | −5982.84 | + | 6904.57i | −1.15718 | + | 1.33546i | ||||
\(300\) | 846.601 | − | 5888.24i | 0.162928 | − | 1.13319i | ||||
\(301\) | −210.968 | − | 61.9457i | −0.0403986 | − | 0.0118621i | ||||
\(302\) | −28.0211 | − | 8.22774i | −0.00533919 | − | 0.00156773i | ||||
\(303\) | 564.385 | − | 3925.38i | 0.107007 | − | 0.744249i | ||||
\(304\) | 1788.34 | − | 2063.85i | 0.337395 | − | 0.389375i | ||||
\(305\) | 8616.72 | 1.61768 | ||||||||
\(306\) | −45.6911 | −0.00853591 | ||||||||
\(307\) | 4689.45 | − | 5411.91i | 0.871794 | − | 1.00610i | −0.128103 | − | 0.991761i | \(-0.540889\pi\) |
0.999897 | − | 0.0143433i | \(-0.00456576\pi\) | |||||||
\(308\) | 617.423 | + | 1351.97i | 0.114224 | + | 0.250115i | ||||
\(309\) | 5173.46 | + | 3324.78i | 0.952452 | + | 0.612104i | ||||
\(310\) | 19.5762 | + | 22.5921i | 0.00358662 | + | 0.00413917i | ||||
\(311\) | −5406.21 | − | 3474.36i | −0.985718 | − | 0.633482i | −0.0547178 | − | 0.998502i | \(-0.517426\pi\) |
−0.931000 | + | 0.365020i | \(0.881062\pi\) | |||||||
\(312\) | −43.9304 | − | 305.542i | −0.00797137 | − | 0.0554421i | ||||
\(313\) | 468.002 | − | 3255.03i | 0.0845145 | − | 0.587811i | −0.902923 | − | 0.429802i | \(-0.858583\pi\) |
0.987438 | − | 0.158009i | \(-0.0505076\pi\) | |||||||
\(314\) | −124.258 | − | 272.086i | −0.0223320 | − | 0.0489003i | ||||
\(315\) | −162.256 | − | 1128.52i | −0.0290226 | − | 0.201857i | ||||
\(316\) | 2076.74 | + | 609.785i | 0.369701 | + | 0.108554i | ||||
\(317\) | −3899.97 | + | 2506.36i | −0.690991 | + | 0.444073i | −0.838438 | − | 0.544997i | \(-0.816531\pi\) |
0.147447 | + | 0.989070i | \(0.452895\pi\) | |||||||
\(318\) | −96.3448 | − | 61.9171i | −0.0169898 | − | 0.0109187i | ||||
\(319\) | −472.500 | + | 1034.63i | −0.0829308 | + | 0.181593i | ||||
\(320\) | −9438.42 | − | 2771.37i | −1.64882 | − | 0.484139i | ||||
\(321\) | −4428.92 | + | 2846.30i | −0.770088 | + | 0.494906i | ||||
\(322\) | −43.2998 | − | 49.9707i | −0.00749380 | − | 0.00864831i | ||||
\(323\) | 1688.09 | + | 1948.16i | 0.290799 | + | 0.335600i | ||||
\(324\) | −268.950 | + | 588.918i | −0.0461163 | + | 0.100981i | ||||
\(325\) | −2695.87 | + | 18750.2i | −0.460123 | + | 3.20023i | ||||
\(326\) | 43.8854 | − | 12.8859i | 0.00745578 | − | 0.00218922i | ||||
\(327\) | −4086.91 | + | 4716.55i | −0.691153 | + | 0.797633i | ||||
\(328\) | 314.680 | − | 92.3984i | 0.0529735 | − | 0.0155544i | ||||
\(329\) | −298.136 | − | 652.826i | −0.0499597 | − | 0.109397i | ||||
\(330\) | 57.5069 | − | 125.923i | 0.00959288 | − | 0.0210055i | ||||
\(331\) | −1200.40 | + | 771.452i | −0.199336 | + | 0.128105i | −0.636501 | − | 0.771276i | \(-0.719619\pi\) |
0.437165 | + | 0.899381i | \(0.355982\pi\) | |||||||
\(332\) | −1227.64 | − | 8538.43i | −0.202938 | − | 1.41147i | ||||
\(333\) | 372.693 | − | 109.432i | 0.0613316 | − | 0.0180086i | ||||
\(334\) | −248.445 | −0.0407015 | ||||||||
\(335\) | −8906.74 | − | 5734.15i | −1.45262 | − | 0.935194i | ||||
\(336\) | −1255.88 | −0.203910 | ||||||||
\(337\) | −2835.96 | + | 832.713i | −0.458411 | + | 0.134602i | −0.502782 | − | 0.864414i | \(-0.667690\pi\) |
0.0443705 | + | 0.999015i | \(0.485872\pi\) | |||||||
\(338\) | 43.5686 | + | 303.026i | 0.00701130 | + | 0.0487647i | ||||
\(339\) | −3409.20 | + | 2190.96i | −0.546202 | + | 0.351022i | ||||
\(340\) | 3864.21 | − | 8461.44i | 0.616371 | − | 1.34966i | ||||
\(341\) | −216.336 | − | 473.709i | −0.0343555 | − | 0.0752280i | ||||
\(342\) | −31.1302 | + | 9.14066i | −0.00492202 | + | 0.00144523i | ||||
\(343\) | −2761.56 | + | 3187.01i | −0.434724 | + | 0.501699i | ||||
\(344\) | 43.3469 | − | 12.7278i | 0.00679393 | − | 0.00199488i | ||||
\(345\) | 986.708 | − | 6862.71i | 0.153979 | − | 1.07094i | ||||
\(346\) | −10.0121 | + | 21.9234i | −0.00155564 | + | 0.00340639i | ||||
\(347\) | 5220.62 | + | 6024.92i | 0.807658 | + | 0.932088i | 0.998775 | − | 0.0494798i | \(-0.0157563\pi\) |
−0.191117 | + | 0.981567i | \(0.561211\pi\) | |||||||
\(348\) | −629.945 | − | 726.995i | −0.0970362 | − | 0.111986i | ||||
\(349\) | −182.147 | + | 117.059i | −0.0279373 | + | 0.0179542i | −0.554535 | − | 0.832160i | \(-0.687104\pi\) |
0.526598 | + | 0.850115i | \(0.323467\pi\) | |||||||
\(350\) | −131.543 | − | 38.6246i | −0.0200894 | − | 0.00589878i | ||||
\(351\) | 856.430 | − | 1875.32i | 0.130236 | − | 0.285177i | ||||
\(352\) | −385.413 | − | 247.690i | −0.0583596 | − | 0.0375054i | ||||
\(353\) | −4068.68 | + | 2614.78i | −0.613467 | + | 0.394251i | −0.810156 | − | 0.586215i | \(-0.800618\pi\) |
0.196689 | + | 0.980466i | \(0.436981\pi\) | |||||||
\(354\) | −143.560 | − | 42.1531i | −0.0215541 | − | 0.00632885i | ||||
\(355\) | 2071.65 | + | 14408.6i | 0.309723 | + | 2.15417i | ||||
\(356\) | −2774.23 | − | 6074.71i | −0.413016 | − | 0.904379i | ||||
\(357\) | 168.712 | − | 1173.42i | 0.0250117 | − | 0.173960i | ||||
\(358\) | −54.5650 | − | 379.508i | −0.00805545 | − | 0.0560269i | ||||
\(359\) | −8186.42 | − | 5261.09i | −1.20352 | − | 0.773453i | −0.223956 | − | 0.974599i | \(-0.571897\pi\) |
−0.979561 | + | 0.201146i | \(0.935533\pi\) | |||||||
\(360\) | 153.406 | + | 177.040i | 0.0224590 | + | 0.0259190i | ||||
\(361\) | −4230.29 | − | 2718.64i | −0.616751 | − | 0.396362i | ||||
\(362\) | 141.554 | + | 309.961i | 0.0205523 | + | 0.0450032i | ||||
\(363\) | 1035.60 | − | 1195.14i | 0.149738 | − | 0.172806i | ||||
\(364\) | 4002.72 | 0.576372 | ||||||||
\(365\) | 17488.6 | 2.50793 | ||||||||
\(366\) | −73.8461 | + | 85.2229i | −0.0105464 | + | 0.0121712i | ||||
\(367\) | 1395.55 | − | 9706.23i | 0.198493 | − | 1.38055i | −0.610168 | − | 0.792272i | \(-0.708898\pi\) |
0.808661 | − | 0.588276i | \(-0.200193\pi\) | |||||||
\(368\) | −7327.86 | − | 2151.65i | −1.03802 | − | 0.304790i | ||||
\(369\) | 2101.67 | + | 617.106i | 0.296500 | + | 0.0870603i | ||||
\(370\) | 9.99635 | − | 69.5262i | 0.00140456 | − | 0.00976890i | ||||
\(371\) | 1945.87 | − | 2245.65i | 0.272303 | − | 0.314255i | ||||
\(372\) | 440.432 | 0.0613854 | ||||||||
\(373\) | 3519.80 | 0.488601 | 0.244301 | − | 0.969700i | \(-0.421442\pi\) | ||||
0.244301 | + | 0.969700i | \(0.421442\pi\) | |||||||
\(374\) | 94.2606 | − | 108.783i | 0.0130324 | − | 0.0150401i | ||||
\(375\) | −2962.91 | − | 6487.86i | −0.408010 | − | 0.893418i | ||||
\(376\) | 124.051 | + | 79.7229i | 0.0170145 | + | 0.0109346i | ||||
\(377\) | 2005.96 | + | 2315.01i | 0.274038 | + | 0.316257i | ||||
\(378\) | 12.5521 | + | 8.06672i | 0.00170796 | + | 0.00109764i | ||||
\(379\) | 1278.77 | + | 8894.02i | 0.173314 | + | 1.20542i | 0.871823 | + | 0.489822i | \(0.162938\pi\) |
−0.698509 | + | 0.715601i | \(0.746153\pi\) | |||||||
\(380\) | 940.020 | − | 6537.98i | 0.126900 | − | 0.882609i | ||||
\(381\) | 1302.82 | + | 2852.78i | 0.175185 | + | 0.383602i | ||||
\(382\) | 34.7963 | + | 242.014i | 0.00466056 | + | 0.0324149i | ||||
\(383\) | −4892.23 | − | 1436.49i | −0.652693 | − | 0.191648i | −0.0614105 | − | 0.998113i | \(-0.519560\pi\) |
−0.591282 | + | 0.806465i | \(0.701378\pi\) | |||||||
\(384\) | 434.544 | − | 279.265i | 0.0577480 | − | 0.0371124i | ||||
\(385\) | 3021.54 | + | 1941.82i | 0.399979 | + | 0.257051i | ||||
\(386\) | 15.3261 | − | 33.5595i | 0.00202093 | − | 0.00442521i | ||||
\(387\) | 289.503 | + | 85.0059i | 0.0380266 | + | 0.0111656i | ||||
\(388\) | 6321.97 | − | 4062.88i | 0.827189 | − | 0.531602i | ||||
\(389\) | 3903.71 | + | 4505.12i | 0.508807 | + | 0.587195i | 0.950793 | − | 0.309827i | \(-0.100271\pi\) |
−0.441986 | + | 0.897022i | \(0.645726\pi\) | |||||||
\(390\) | −244.141 | − | 281.754i | −0.0316989 | − | 0.0365825i | ||||
\(391\) | 2994.77 | − | 6557.64i | 0.387346 | − | 0.848169i | ||||
\(392\) | 57.5306 | − | 400.134i | 0.00741258 | − | 0.0515556i | ||||
\(393\) | 1148.73 | − | 337.297i | 0.147445 | − | 0.0432936i | ||||
\(394\) | −85.5054 | + | 98.6785i | −0.0109333 | + | 0.0126176i | ||||
\(395\) | 5018.59 | − | 1473.59i | 0.639273 | − | 0.187707i | ||||
\(396\) | −847.269 | − | 1855.26i | −0.107517 | − | 0.235430i | ||||
\(397\) | 4582.90 | − | 10035.1i | 0.579368 | − | 1.26864i | −0.362290 | − | 0.932065i | \(-0.618005\pi\) |
0.941658 | − | 0.336573i | \(-0.109268\pi\) | |||||||
\(398\) | 63.0183 | − | 40.4994i | 0.00793674 | − | 0.00510063i | ||||
\(399\) | −119.799 | − | 833.222i | −0.0150312 | − | 0.104544i | ||||
\(400\) | −15193.8 | + | 4461.31i | −1.89923 | + | 0.557664i | ||||
\(401\) | 7471.77 | 0.930479 | 0.465240 | − | 0.885185i | \(-0.345968\pi\) | ||||
0.465240 | + | 0.885185i | \(0.345968\pi\) | |||||||
\(402\) | 133.045 | − | 38.9492i | 0.0165066 | − | 0.00483236i | ||||
\(403\) | −1402.49 | −0.173357 | ||||||||
\(404\) | −10138.0 | + | 2976.77i | −1.24847 | + | 0.366584i | ||||
\(405\) | 222.659 | + | 1548.63i | 0.0273185 | + | 0.190005i | ||||
\(406\) | −18.6500 | + | 11.9856i | −0.00227977 | + | 0.00146512i | ||||
\(407\) | −508.324 | + | 1113.07i | −0.0619083 | + | 0.135560i | ||||
\(408\) | 101.186 | + | 221.566i | 0.0122781 | + | 0.0268852i | ||||
\(409\) | 2533.18 | − | 743.810i | 0.306254 | − | 0.0899243i | −0.124995 | − | 0.992157i | \(-0.539891\pi\) |
0.431249 | + | 0.902233i | \(0.358073\pi\) | |||||||
\(410\) | 259.390 | − | 299.352i | 0.0312448 | − | 0.0360584i | ||||
\(411\) | −1663.84 | + | 488.547i | −0.199686 | + | 0.0586331i | ||||
\(412\) | 2331.78 | − | 16217.9i | 0.278831 | − | 1.93931i | ||||
\(413\) | 1612.64 | − | 3531.20i | 0.192138 | − | 0.420723i | ||||
\(414\) | 59.4188 | + | 68.5730i | 0.00705381 | + | 0.00814053i | ||||
\(415\) | −13651.2 | − | 15754.3i | −1.61472 | − | 1.86349i | ||||
\(416\) | −1037.96 | + | 667.056i | −0.122332 | + | 0.0786180i | ||||
\(417\) | −1631.80 | − | 479.141i | −0.191630 | − | 0.0562677i | ||||
\(418\) | 42.4592 | − | 92.9727i | 0.00496830 | − | 0.0108791i | ||||
\(419\) | 7932.62 | + | 5097.98i | 0.924902 | + | 0.594398i | 0.914076 | − | 0.405543i | \(-0.132918\pi\) |
0.0108257 | + | 0.999941i | \(0.496554\pi\) | |||||||
\(420\) | −2555.42 | + | 1642.27i | −0.296885 | + | 0.190796i | ||||
\(421\) | −7632.87 | − | 2241.21i | −0.883618 | − | 0.259454i | −0.191721 | − | 0.981450i | \(-0.561407\pi\) |
−0.691897 | + | 0.721996i | \(0.743225\pi\) | |||||||
\(422\) | −27.3075 | − | 189.928i | −0.00315002 | − | 0.0219088i | ||||
\(423\) | 409.121 | + | 895.850i | 0.0470264 | + | 0.102973i | ||||
\(424\) | −86.8876 | + | 604.316i | −0.00995196 | + | 0.0692174i | ||||
\(425\) | −2127.27 | − | 14795.5i | −0.242795 | − | 1.68867i | ||||
\(426\) | −160.262 | − | 102.994i | −0.0182270 | − | 0.0117138i | ||||
\(427\) | −1915.98 | − | 2211.16i | −0.217144 | − | 0.250598i | ||||
\(428\) | 11800.0 | + | 7583.39i | 1.33265 | + | 0.856441i | ||||
\(429\) | 2698.00 | + | 5907.79i | 0.303638 | + | 0.664874i | ||||
\(430\) | 35.7308 | − | 41.2356i | 0.00400719 | − | 0.00462455i | ||||
\(431\) | 7592.91 | 0.848579 | 0.424290 | − | 0.905526i | \(-0.360524\pi\) | ||||
0.424290 | + | 0.905526i | \(0.360524\pi\) | |||||||
\(432\) | 1723.40 | 0.191938 | ||||||||
\(433\) | −2338.59 | + | 2698.88i | −0.259551 | + | 0.299538i | −0.870536 | − | 0.492104i | \(-0.836228\pi\) |
0.610985 | + | 0.791642i | \(0.290773\pi\) | |||||||
\(434\) | 1.44454 | − | 10.0470i | 0.000159769 | − | 0.00111122i | ||||
\(435\) | −2230.47 | − | 654.924i | −0.245845 | − | 0.0721867i | ||||
\(436\) | 15954.1 | + | 4684.54i | 1.75243 | + | 0.514561i | ||||
\(437\) | 728.519 | − | 5066.96i | 0.0797478 | − | 0.554658i | ||||
\(438\) | −149.879 | + | 172.970i | −0.0163505 | + | 0.0188694i | ||||
\(439\) | 1401.35 | 0.152353 | 0.0761764 | − | 0.997094i | \(-0.475729\pi\) | ||||
0.0761764 | + | 0.997094i | \(0.475729\pi\) | |||||||
\(440\) | −737.979 | −0.0799586 | ||||||||
\(441\) | 1768.04 | − | 2040.43i | 0.190913 | − | 0.220325i | ||||
\(442\) | −161.034 | − | 352.615i | −0.0173294 | − | 0.0379462i | ||||
\(443\) | −907.006 | − | 582.897i | −0.0972757 | − | 0.0625153i | 0.491099 | − | 0.871104i | \(-0.336595\pi\) |
−0.588374 | + | 0.808589i | \(0.700232\pi\) | |||||||
\(444\) | −677.706 | − | 782.114i | −0.0724381 | − | 0.0835980i | ||||
\(445\) | −13576.5 | − | 8725.07i | −1.44626 | − | 0.929457i | ||||
\(446\) | −34.2839 | − | 238.450i | −0.00363989 | − | 0.0253160i | ||||
\(447\) | −83.0170 | + | 577.396i | −0.00878427 | + | 0.0610960i | ||||
\(448\) | 1387.52 | + | 3038.25i | 0.146326 | + | 0.320410i | ||||
\(449\) | −3.26943 | − | 22.7394i | −0.000343639 | − | 0.00239006i | 0.989649 | − | 0.143510i | \(-0.0458388\pi\) |
−0.989993 | + | 0.141120i | \(0.954930\pi\) | |||||||
\(450\) | 180.513 | + | 53.0033i | 0.0189099 | + | 0.00555244i | ||||
\(451\) | −5804.96 | + | 3730.62i | −0.606086 | + | 0.389508i | ||||
\(452\) | 9083.13 | + | 5837.38i | 0.945209 | + | 0.607449i | ||||
\(453\) | −431.944 | + | 945.825i | −0.0448002 | + | 0.0980987i | ||||
\(454\) | 92.3933 | + | 27.1291i | 0.00955117 | + | 0.00280448i | ||||
\(455\) | 8137.34 | − | 5229.55i | 0.838427 | − | 0.538824i | ||||
\(456\) | 113.265 | + | 130.715i | 0.0116318 | + | 0.0134238i | ||||
\(457\) | 8726.51 | + | 10070.9i | 0.893237 | + | 1.03085i | 0.999334 | + | 0.0364943i | \(0.0116191\pi\) |
−0.106097 | + | 0.994356i | \(0.533835\pi\) | |||||||
\(458\) | −70.8884 | + | 155.224i | −0.00723231 | + | 0.0158366i | ||||
\(459\) | −231.517 | + | 1610.24i | −0.0235431 | + | 0.163746i | ||||
\(460\) | −17724.1 | + | 5204.26i | −1.79650 | + | 0.527499i | ||||
\(461\) | −10816.1 | + | 12482.4i | −1.09275 | + | 1.26110i | −0.129760 | + | 0.991545i | \(0.541421\pi\) |
−0.962986 | + | 0.269551i | \(0.913125\pi\) | |||||||
\(462\) | −45.1003 | + | 13.2426i | −0.00454168 | + | 0.00133356i | ||||
\(463\) | −5975.70 | − | 13085.0i | −0.599815 | − | 1.31341i | −0.929326 | − | 0.369260i | \(-0.879611\pi\) |
0.329511 | − | 0.944152i | \(-0.393116\pi\) | |||||||
\(464\) | −1063.73 | + | 2329.25i | −0.106428 | + | 0.233045i | ||||
\(465\) | 895.378 | − | 575.425i | 0.0892950 | − | 0.0573864i | ||||
\(466\) | 55.3041 | + | 384.648i | 0.00549767 | + | 0.0382371i | ||||
\(467\) | 14689.4 | − | 4313.20i | 1.45556 | − | 0.427390i | 0.544181 | − | 0.838968i | \(-0.316841\pi\) |
0.911374 | + | 0.411578i | \(0.135022\pi\) | |||||||
\(468\) | −5492.79 | −0.542531 | ||||||||
\(469\) | 509.013 | + | 3560.60i | 0.0501152 | + | 0.350562i | ||||
\(470\) | 178.095 | 0.0174785 | ||||||||
\(471\) | −10218.4 | + | 3000.40i | −0.999660 | + | 0.293527i | ||||
\(472\) | 113.514 | + | 789.506i | 0.0110697 | + | 0.0769915i | ||||
\(473\) | −799.629 | + | 513.890i | −0.0777314 | + | 0.0499550i | ||||
\(474\) | −28.4354 | + | 62.2648i | −0.00275544 | + | 0.00603358i | ||||
\(475\) | −4409.23 | − | 9654.87i | −0.425915 | − | 0.932623i | ||||
\(476\) | −3030.54 | + | 889.847i | −0.291816 | + | 0.0856850i | ||||
\(477\) | −2670.25 | + | 3081.63i | −0.256315 | + | 0.295803i | ||||
\(478\) | 180.356 | − | 52.9572i | 0.0172579 | − | 0.00506737i | ||||
\(479\) | 985.993 | − | 6857.73i | 0.0940525 | − | 0.654150i | −0.887195 | − | 0.461395i | \(-0.847349\pi\) |
0.981247 | − | 0.192754i | \(-0.0617420\pi\) | |||||||
\(480\) | 388.969 | − | 851.724i | 0.0369874 | − | 0.0809910i | ||||
\(481\) | 2158.05 | + | 2490.52i | 0.204571 | + | 0.236088i | ||||
\(482\) | 290.833 | + | 335.639i | 0.0274835 | + | 0.0317177i | ||||
\(483\) | −1980.46 | + | 1272.76i | −0.186571 | + | 0.119902i | ||||
\(484\) | −4042.66 | − | 1187.03i | −0.379663 | − | 0.111479i | ||||
\(485\) | 7544.11 | − | 16519.3i | 0.706310 | − | 1.54660i | ||||
\(486\) | −17.2248 | − | 11.0697i | −0.00160768 | − | 0.00103319i | ||||
\(487\) | −17130.5 | + | 11009.1i | −1.59396 | + | 1.02437i | −0.623896 | + | 0.781507i | \(0.714451\pi\) |
−0.970060 | + | 0.242866i | \(0.921912\pi\) | |||||||
\(488\) | 576.801 | + | 169.364i | 0.0535053 | + | 0.0157106i | ||||
\(489\) | −231.755 | − | 1611.89i | −0.0214322 | − | 0.149064i | ||||
\(490\) | −202.819 | − | 444.111i | −0.0186988 | − | 0.0409447i | ||||
\(491\) | −1785.06 | + | 12415.3i | −0.164070 | + | 1.14113i | 0.726791 | + | 0.686859i | \(0.241011\pi\) |
−0.890861 | + | 0.454275i | \(0.849898\pi\) | |||||||
\(492\) | −830.531 | − | 5776.47i | −0.0761041 | − | 0.529316i | ||||
\(493\) | −2033.41 | − | 1306.79i | −0.185761 | − | 0.119381i | ||||
\(494\) | −180.257 | − | 208.028i | −0.0164173 | − | 0.0189466i | ||||
\(495\) | −4146.35 | − | 2664.70i | −0.376494 | − | 0.241958i | ||||
\(496\) | −487.033 | − | 1066.45i | −0.0440896 | − | 0.0965427i | ||||
\(497\) | 3236.79 | − | 3735.46i | 0.292133 | − | 0.337139i | ||||
\(498\) | 272.809 | 0.0245479 | ||||||||
\(499\) | 1415.75 | 0.127010 | 0.0635049 | − | 0.997982i | \(-0.479772\pi\) | ||||
0.0635049 | + | 0.997982i | \(0.479772\pi\) | |||||||
\(500\) | −12444.2 | + | 14361.4i | −1.11305 | + | 1.28452i | ||||
\(501\) | −1258.87 | + | 8755.65i | −0.112260 | + | 0.780786i | ||||
\(502\) | 275.699 | + | 80.9527i | 0.0245121 | + | 0.00719740i | ||||
\(503\) | 13438.4 | + | 3945.87i | 1.19123 | + | 0.349776i | 0.816493 | − | 0.577355i | \(-0.195915\pi\) |
0.374736 | + | 0.927132i | \(0.377733\pi\) | |||||||
\(504\) | 11.3199 | − | 78.7320i | 0.00100046 | − | 0.00695833i | ||||
\(505\) | −16720.8 | + | 19296.9i | −1.47340 | + | 1.70039i | ||||
\(506\) | −285.841 | −0.0251130 | ||||||||
\(507\) | 10900.0 | 0.954801 | ||||||||
\(508\) | 5471.86 | − | 6314.86i | 0.477903 | − | 0.551529i | ||||
\(509\) | −4929.82 | − | 10794.8i | −0.429293 | − | 0.940021i | −0.993441 | − | 0.114347i | \(-0.963522\pi\) |
0.564147 | − | 0.825674i | \(-0.309205\pi\) | |||||||
\(510\) | 247.481 | + | 159.047i | 0.0214876 | + | 0.0138092i | ||||
\(511\) | −3888.70 | − | 4487.80i | −0.336645 | − | 0.388510i | ||||
\(512\) | −1446.55 | − | 929.642i | −0.124862 | − | 0.0802437i | ||||
\(513\) | 164.396 | + | 1143.40i | 0.0141487 | + | 0.0984062i | ||||
\(514\) | 4.16495 | − | 28.9679i | 0.000357409 | − | 0.00248583i | ||||
\(515\) | −16448.2 | − | 36016.6i | −1.40737 | − | 3.08171i | ||||
\(516\) | −114.405 | − | 795.705i | −0.00976047 | − | 0.0678856i | ||||
\(517\) | −2976.88 | − | 874.090i | −0.253236 | − | 0.0743568i | ||||
\(518\) | −20.0640 | + | 12.8944i | −0.00170186 | + | 0.00109372i | ||||
\(519\) | 721.889 | + | 463.930i | 0.0610547 | + | 0.0392375i | ||||
\(520\) | −825.620 | + | 1807.86i | −0.0696266 | + | 0.152461i | ||||
\(521\) | 14810.7 | + | 4348.80i | 1.24543 | + | 0.365690i | 0.837051 | − | 0.547125i | \(-0.184278\pi\) |
0.408374 | + | 0.912815i | \(0.366096\pi\) | |||||||
\(522\) | 25.5928 | − | 16.4475i | 0.00214591 | − | 0.00137909i | ||||
\(523\) | 8181.74 | + | 9442.23i | 0.684058 | + | 0.789445i | 0.986507 | − | 0.163720i | \(-0.0523495\pi\) |
−0.302449 | + | 0.953166i | \(0.597804\pi\) | |||||||
\(524\) | −2088.85 | − | 2410.66i | −0.174145 | − | 0.200974i | ||||
\(525\) | −2027.73 | + | 4440.12i | −0.168567 | + | 0.369110i | ||||
\(526\) | 42.3736 | − | 294.715i | 0.00351250 | − | 0.0244300i | ||||
\(527\) | 1061.85 | − | 311.788i | 0.0877706 | − | 0.0257718i | ||||
\(528\) | −3555.37 | + | 4103.11i | −0.293045 | + | 0.338192i | ||||
\(529\) | −2062.06 | + | 605.477i | −0.169480 | + | 0.0497638i | ||||
\(530\) | 306.314 | + | 670.734i | 0.0251046 | + | 0.0549714i | ||||
\(531\) | −2212.97 | + | 4845.74i | −0.180857 | + | 0.396021i | ||||
\(532\) | −1886.75 | + | 1212.54i | −0.153761 | + | 0.0988162i | ||||
\(533\) | 2644.70 | + | 18394.3i | 0.214924 | + | 1.49483i | ||||
\(534\) | 202.646 | − | 59.5023i | 0.0164220 | − | 0.00482194i | ||||
\(535\) | 33896.5 | 2.73920 | ||||||||
\(536\) | −483.509 | − | 558.908i | −0.0389635 | − | 0.0450394i | ||||
\(537\) | −13651.0 | −1.09699 | ||||||||
\(538\) | −221.954 | + | 65.1716i | −0.0177865 | + | 0.00522258i | ||||
\(539\) | 1210.44 | + | 8418.79i | 0.0967298 | + | 0.672770i | ||||
\(540\) | 3506.71 | − | 2253.63i | 0.279453 | − | 0.179594i | ||||
\(541\) | 7386.96 | − | 16175.2i | 0.587043 | − | 1.28544i | −0.350170 | − | 0.936686i | \(-0.613876\pi\) |
0.937213 | − | 0.348759i | \(-0.113397\pi\) | |||||||
\(542\) | −193.984 | − | 424.765i | −0.0153733 | − | 0.0336628i | ||||
\(543\) | 11640.8 | − | 3418.06i | 0.919992 | − | 0.270134i | ||||
\(544\) | 637.566 | − | 735.791i | 0.0502490 | − | 0.0579904i | ||||
\(545\) | 38554.2 | − | 11320.5i | 3.03024 | − | 0.889759i | ||||
\(546\) | −18.0153 | + | 125.299i | −0.00141206 | + | 0.00982109i | ||||
\(547\) | −1578.60 | + | 3456.66i | −0.123393 | + | 0.270194i | −0.961241 | − | 0.275711i | \(-0.911087\pi\) |
0.837847 | + | 0.545905i | \(0.183814\pi\) | |||||||
\(548\) | 3025.53 | + | 3491.64i | 0.235847 | + | 0.272182i | ||||
\(549\) | 2629.23 | + | 3034.29i | 0.204395 | + | 0.235884i | ||||
\(550\) | −498.588 | + | 320.423i | −0.0386543 | + | 0.0248416i | ||||
\(551\) | −1646.83 | − | 483.552i | −0.127327 | − | 0.0373866i | ||||
\(552\) | 200.939 | − | 439.994i | 0.0154937 | − | 0.0339264i | ||||
\(553\) | −1494.06 | − | 960.171i | −0.114889 | − | 0.0738348i | ||||
\(554\) | 538.750 | − | 346.234i | 0.0413164 | − | 0.0265525i | ||||
\(555\) | −2399.58 | − | 704.579i | −0.183525 | − | 0.0538878i | ||||
\(556\) | 644.851 | + | 4485.04i | 0.0491866 | + | 0.342101i | ||||
\(557\) | −6378.04 | − | 13966.0i | −0.485182 | − | 1.06240i | −0.981006 | − | 0.193977i | \(-0.937861\pi\) |
0.495824 | − | 0.868423i | \(-0.334866\pi\) | |||||||
\(558\) | −1.98229 | + | 13.7871i | −0.000150389 | + | 0.00104598i | ||||
\(559\) | 364.306 | + | 2533.80i | 0.0275644 | + | 0.191714i | ||||
\(560\) | 6802.34 | + | 4371.60i | 0.513306 | + | 0.329882i | ||||
\(561\) | −3356.07 | − | 3873.12i | −0.252573 | − | 0.291485i | ||||
\(562\) | 213.252 | + | 137.049i | 0.0160062 | + | 0.0102866i | ||||
\(563\) | 10879.9 | + | 23823.7i | 0.814448 | + | 1.78339i | 0.586968 | + | 0.809610i | \(0.300321\pi\) |
0.227480 | + | 0.973783i | \(0.426951\pi\) | |||||||
\(564\) | 1718.31 | − | 1983.04i | 0.128287 | − | 0.148051i | ||||
\(565\) | 26092.1 | 1.94284 | ||||||||
\(566\) | −273.570 | −0.0203162 | ||||||||
\(567\) | 347.887 | − | 401.483i | 0.0257670 | − | 0.0297367i | ||||
\(568\) | −144.530 | + | 1005.23i | −0.0106767 | + | 0.0742580i | ||||
\(569\) | −23249.1 | − | 6826.54i | −1.71292 | − | 0.502959i | −0.729451 | − | 0.684034i | \(-0.760224\pi\) |
−0.983469 | + | 0.181075i | \(0.942042\pi\) | |||||||
\(570\) | 200.431 | + | 58.8520i | 0.0147283 | + | 0.00432463i | ||||
\(571\) | −1606.56 | + | 11173.9i | −0.117745 | + | 0.818937i | 0.842283 | + | 0.539035i | \(0.181211\pi\) |
−0.960029 | + | 0.279902i | \(0.909698\pi\) | |||||||
\(572\) | 11331.6 | − | 13077.4i | 0.828319 | − | 0.955931i | ||||
\(573\) | 8705.31 | 0.634677 | ||||||||
\(574\) | −134.495 | −0.00977995 | ||||||||
\(575\) | −19438.6 | + | 22433.3i | −1.40982 | + | 1.62702i | ||||
\(576\) | −1904.05 | − | 4169.28i | −0.137735 | − | 0.301597i | ||||
\(577\) | 6718.97 | + | 4318.02i | 0.484774 | + | 0.311545i | 0.760100 | − | 0.649806i | \(-0.225150\pi\) |
−0.275327 | + | 0.961351i | \(0.588786\pi\) | |||||||
\(578\) | −70.7791 | − | 81.6834i | −0.00509346 | − | 0.00587817i | ||||
\(579\) | −1105.04 | − | 710.165i | −0.0793158 | − | 0.0509731i | ||||
\(580\) | 881.429 | + | 6130.47i | 0.0631023 | + | 0.438886i | ||||
\(581\) | −1007.33 | + | 7006.13i | −0.0719295 | + | 0.500281i | ||||
\(582\) | 98.7289 | + | 216.186i | 0.00703169 | + | 0.0153973i | ||||
\(583\) | −1828.11 | − | 12714.8i | −0.129867 | − | 0.903246i | ||||
\(584\) | 1170.68 | + | 343.744i | 0.0829508 | + | 0.0243565i | ||||
\(585\) | −11166.6 | + | 7176.33i | −0.789199 | + | 0.507187i | ||||
\(586\) | 456.369 | + | 293.290i | 0.0321714 | + | 0.0206753i | ||||
\(587\) | 1824.44 | − | 3994.97i | 0.128284 | − | 0.280903i | −0.834581 | − | 0.550885i | \(-0.814290\pi\) |
0.962865 | + | 0.269982i | \(0.0870177\pi\) | |||||||
\(588\) | −6901.90 | − | 2026.58i | −0.484064 | − | 0.142134i | ||||
\(589\) | 661.087 | − | 424.855i | 0.0462472 | − | 0.0297213i | ||||
\(590\) | 630.849 | + | 728.038i | 0.0440197 | + | 0.0508015i | ||||
\(591\) | 3044.35 | + | 3513.37i | 0.211892 | + | 0.244536i | ||||
\(592\) | −1144.38 | + | 2505.85i | −0.0794491 | + | 0.173969i | ||||
\(593\) | −796.442 | + | 5539.38i | −0.0551534 | + | 0.383600i | 0.943484 | + | 0.331418i | \(0.107527\pi\) |
−0.998638 | + | 0.0521826i | \(0.983382\pi\) | |||||||
\(594\) | 61.8896 | − | 18.1724i | 0.00427502 | − | 0.00125526i | ||||
\(595\) | −4998.36 | + | 5768.41i | −0.344391 | + | 0.397449i | ||||
\(596\) | 1491.22 | − | 437.862i | 0.102488 | − | 0.0300932i | ||||
\(597\) | −1107.96 | − | 2426.09i | −0.0759560 | − | 0.166320i | ||||
\(598\) | −319.787 | + | 700.236i | −0.0218680 | + | 0.0478843i | ||||
\(599\) | −19189.6 | + | 12332.4i | −1.30896 | + | 0.841217i | −0.994157 | − | 0.107941i | \(-0.965574\pi\) |
−0.314802 | + | 0.949158i | \(0.601938\pi\) | |||||||
\(600\) | −142.732 | − | 992.724i | −0.00971169 | − | 0.0675463i | ||||
\(601\) | −2210.34 | + | 649.015i | −0.150020 | + | 0.0440497i | −0.355880 | − | 0.934532i | \(-0.615819\pi\) |
0.205861 | + | 0.978581i | \(0.434001\pi\) | |||||||
\(602\) | −18.5265 | −0.00125429 | ||||||||
\(603\) | −698.501 | − | 4886.09i | −0.0471727 | − | 0.329979i | ||||
\(604\) | 2770.31 | 0.186626 | ||||||||
\(605\) | −9769.38 | + | 2868.55i | −0.656499 | + | 0.192765i | ||||
\(606\) | −47.5549 | − | 330.752i | −0.00318777 | − | 0.0221714i | ||||
\(607\) | −11309.9 | + | 7268.45i | −0.756270 | + | 0.486025i | −0.861082 | − | 0.508467i | \(-0.830212\pi\) |
0.104811 | + | 0.994492i | \(0.466576\pi\) | |||||||
\(608\) | 287.189 | − | 628.855i | 0.0191563 | − | 0.0419465i | ||||
\(609\) | 327.896 | + | 717.992i | 0.0218177 | + | 0.0477742i | ||||
\(610\) | 696.632 | − | 204.550i | 0.0462390 | − | 0.0135770i | ||||
\(611\) | −5471.70 | + | 6314.68i | −0.362293 | + | 0.418109i | ||||
\(612\) | 4158.70 | − | 1221.11i | 0.274682 | − | 0.0806540i | ||||
\(613\) | −1951.18 | + | 13570.8i | −0.128560 | + | 0.894158i | 0.818821 | + | 0.574050i | \(0.194628\pi\) |
−0.947381 | + | 0.320108i | \(0.896281\pi\) | |||||||
\(614\) | 250.654 | − | 548.856i | 0.0164749 | − | 0.0360750i | ||||
\(615\) | −9235.38 | − | 10658.2i | −0.605539 | − | 0.698829i | ||||
\(616\) | 164.094 | + | 189.375i | 0.0107330 | + | 0.0123866i | ||||
\(617\) | 20939.7 | − | 13457.1i | 1.36629 | − | 0.878060i | 0.367636 | − | 0.929970i | \(-0.380167\pi\) |
0.998652 | + | 0.0519096i | \(0.0165308\pi\) | |||||||
\(618\) | 497.182 | + | 145.986i | 0.0323618 | + | 0.00950229i | ||||
\(619\) | −10277.2 | + | 22504.0i | −0.667330 | + | 1.46125i | 0.208200 | + | 0.978086i | \(0.433239\pi\) |
−0.875530 | + | 0.483163i | \(0.839488\pi\) | |||||||
\(620\) | −2385.56 | − | 1533.10i | −0.154526 | − | 0.0993080i | ||||
\(621\) | 2717.71 | − | 1746.57i | 0.175617 | − | 0.112862i | ||||
\(622\) | −519.551 | − | 152.554i | −0.0334921 | − | 0.00983417i | ||||
\(623\) | 779.849 | + | 5423.97i | 0.0501508 | + | 0.348807i | ||||
\(624\) | 6073.96 | + | 13300.1i | 0.389668 | + | 0.853255i | ||||
\(625\) | −2122.07 | + | 14759.3i | −0.135812 | + | 0.944595i | ||||
\(626\) | −39.4337 | − | 274.268i | −0.00251771 | − | 0.0175111i | ||||
\(627\) | −3061.39 | − | 1967.43i | −0.194992 | − | 0.125314i | ||||
\(628\) | 18581.2 | + | 21443.9i | 1.18069 | + | 1.36258i | ||||
\(629\) | −2187.57 | − | 1405.87i | −0.138671 | − | 0.0891187i | ||||
\(630\) | −39.9074 | − | 87.3851i | −0.00252373 | − | 0.00552620i | ||||
\(631\) | −10650.3 | + | 12291.0i | −0.671917 | + | 0.775434i | −0.984675 | − | 0.174399i | \(-0.944202\pi\) |
0.312758 | + | 0.949833i | \(0.398747\pi\) | |||||||
\(632\) | 364.907 | 0.0229671 | ||||||||
\(633\) | −6831.76 | −0.428970 | ||||||||
\(634\) | −255.802 | + | 295.211i | −0.0160240 | + | 0.0184926i | ||||
\(635\) | 2873.67 | − | 19986.8i | 0.179587 | − | 1.24906i | ||||
\(636\) | 10423.8 | + | 3060.71i | 0.649893 | + | 0.190826i | ||||
\(637\) | 21978.0 | + | 6453.34i | 1.36704 | + | 0.401398i | ||||
\(638\) | −13.6392 | + | 94.8630i | −0.000846368 | + | 0.00588662i | ||||
\(639\) | −4441.74 | + | 5126.04i | −0.274980 | + | 0.317344i | ||||
\(640\) | −3325.76 | −0.205410 | ||||||||
\(641\) | 23918.3 | 1.47382 | 0.736908 | − | 0.675993i | \(-0.236285\pi\) | ||||
0.736908 | + | 0.675993i | \(0.236285\pi\) | |||||||
\(642\) | −290.496 | + | 335.250i | −0.0178582 | + | 0.0206095i | ||||
\(643\) | 3802.47 | + | 8326.24i | 0.233211 | + | 0.510661i | 0.989667 | − | 0.143383i | \(-0.0457982\pi\) |
−0.756456 | + | 0.654044i | \(0.773071\pi\) | |||||||
\(644\) | 5276.53 | + | 3391.02i | 0.322864 | + | 0.207492i | ||||
\(645\) | −1272.17 | − | 1468.16i | −0.0776613 | − | 0.0896259i | ||||
\(646\) | 182.723 | + | 117.429i | 0.0111287 | + | 0.00715200i | ||||
\(647\) | −1221.85 | − | 8498.15i | −0.0742440 | − | 0.516378i | −0.992677 | − | 0.120801i | \(-0.961454\pi\) |
0.918433 | − | 0.395577i | \(-0.129455\pi\) | |||||||
\(648\) | −15.5340 | + | 108.041i | −0.000941716 | + | 0.00654978i | ||||
\(649\) | −6971.49 | − | 15265.4i | −0.421656 | − | 0.923299i | ||||
\(650\) | 227.153 | + | 1579.89i | 0.0137072 | + | 0.0953358i | ||||
\(651\) | −346.754 | − | 101.816i | −0.0208761 | − | 0.00612978i | ||||
\(652\) | −3649.97 | + | 2345.69i | −0.219239 | + | 0.140896i | ||||
\(653\) | −17397.3 | − | 11180.6i | −1.04259 | − | 0.670030i | −0.0969619 | − | 0.995288i | \(-0.530913\pi\) |
−0.945625 | + | 0.325258i | \(0.894549\pi\) | |||||||
\(654\) | −218.448 | + | 478.335i | −0.0130612 | + | 0.0286000i | ||||
\(655\) | −7396.07 | − | 2171.68i | −0.441204 | − | 0.129549i | ||||
\(656\) | −13068.6 | + | 8398.69i | −0.777810 | + | 0.499868i | ||||
\(657\) | 5336.32 | + | 6158.45i | 0.316879 | + | 0.365698i | ||||
\(658\) | −39.6005 | − | 45.7014i | −0.00234618 | − | 0.00270764i | ||||
\(659\) | 1993.72 | − | 4365.65i | 0.117852 | − | 0.258060i | −0.841508 | − | 0.540244i | \(-0.818332\pi\) |
0.959360 | + | 0.282185i | \(0.0910591\pi\) | |||||||
\(660\) | −1868.84 | + | 12998.1i | −0.110219 | + | 0.766590i | ||||
\(661\) | 10667.0 | − | 3132.13i | 0.627685 | − | 0.184305i | 0.0476076 | − | 0.998866i | \(-0.484840\pi\) |
0.580078 | + | 0.814561i | \(0.303022\pi\) | |||||||
\(662\) | −78.7352 | + | 90.8652i | −0.00462255 | + | 0.00533471i | ||||
\(663\) | −13242.8 | + | 3888.42i | −0.775726 | + | 0.227774i | ||||
\(664\) | −604.152 | − | 1322.91i | −0.0353097 | − | 0.0773175i | ||||
\(665\) | −2251.49 | + | 4930.07i | −0.131292 | + | 0.287488i | ||||
\(666\) | 27.5332 | − | 17.6945i | 0.00160193 | − | 0.00102950i | ||||
\(667\) | 683.110 | + | 4751.14i | 0.0396554 | + | 0.275809i | ||||
\(668\) | 22612.9 | − | 6639.75i | 1.30976 | − | 0.384580i | ||||
\(669\) | −8577.13 | −0.495681 | ||||||||
\(670\) | −856.201 | − | 252.152i | −0.0493701 | − | 0.0145395i | ||||
\(671\) | −12648.2 | −0.727688 | ||||||||
\(672\) | −305.053 | + | 89.5715i | −0.0175114 | + | 0.00514181i | ||||
\(673\) | −4139.08 | − | 28787.9i | −0.237072 | − | 1.64888i | −0.666304 | − | 0.745681i | \(-0.732125\pi\) |
0.429231 | − | 0.903195i | \(-0.358785\pi\) | |||||||
\(674\) | −209.510 | + | 134.644i | −0.0119733 | + | 0.00769480i | ||||
\(675\) | 2782.59 | − | 6093.02i | 0.158669 | − | 0.347438i | ||||
\(676\) | −12064.0 | − | 26416.4i | −0.686388 | − | 1.50298i | ||||
\(677\) | −12460.8 | + | 3658.84i | −0.707399 | + | 0.207711i | −0.615591 | − | 0.788066i | \(-0.711083\pi\) |
−0.0918079 | + | 0.995777i | \(0.529265\pi\) | |||||||
\(678\) | −223.612 | + | 258.062i | −0.0126663 | + | 0.0146177i | ||||
\(679\) | −5916.53 | + | 1737.25i | −0.334397 | + | 0.0981879i | ||||
\(680\) | 223.188 | − | 1552.31i | 0.0125866 | − | 0.0875417i | ||||
\(681\) | 1424.24 | − | 3118.64i | 0.0801422 | − | 0.175487i | ||||
\(682\) | −28.7352 | − | 33.1622i | −0.00161339 | − | 0.00186195i | ||||
\(683\) | 425.416 | + | 490.956i | 0.0238332 | + | 0.0275050i | 0.767541 | − | 0.641000i | \(-0.221480\pi\) |
−0.743708 | + | 0.668505i | \(0.766935\pi\) | |||||||
\(684\) | 2589.12 | − | 1663.92i | 0.144733 | − | 0.0930142i | ||||
\(685\) | 10712.6 | + | 3145.50i | 0.597528 | + | 0.175450i | ||||
\(686\) | −147.607 | + | 323.215i | −0.00821528 | + | 0.0179889i | ||||
\(687\) | 5111.18 | + | 3284.76i | 0.283848 | + | 0.182418i | ||||
\(688\) | −1800.19 | + | 1156.91i | −0.0997554 | + | 0.0641089i | ||||
\(689\) | −33193.1 | − | 9746.38i | −1.83535 | − | 0.538908i | ||||
\(690\) | −83.1398 | − | 578.250i | −0.00458707 | − | 0.0319038i | ||||
\(691\) | −13094.2 | − | 28672.4i | −0.720880 | − | 1.57851i | −0.812667 | − | 0.582729i | \(-0.801985\pi\) |
0.0917866 | − | 0.995779i | \(-0.470742\pi\) | |||||||
\(692\) | 325.369 | − | 2262.99i | 0.0178738 | − | 0.124315i | ||||
\(693\) | 238.171 | + | 1656.52i | 0.0130554 | + | 0.0908021i | ||||
\(694\) | 565.093 | + | 363.163i | 0.0309087 | + | 0.0198638i | ||||
\(695\) | 7170.65 | + | 8275.37i | 0.391364 | + | 0.451658i | ||||
\(696\) | −136.434 | − | 87.6810i | −0.00743035 | − | 0.00477520i | ||||
\(697\) | −6091.60 | − | 13338.7i | −0.331041 | − | 0.724880i | ||||
\(698\) | −11.9472 | + | 13.7878i | −0.000647861 | + | 0.000747672i | ||||
\(699\) | 13835.9 | 0.748674 | ||||||||
\(700\) | 13005.0 | 0.702206 | ||||||||
\(701\) | 18378.2 | − | 21209.5i | 0.990204 | − | 1.14276i | 0.000446388 | − | 1.00000i | \(-0.499858\pi\) |
0.989758 | − | 0.142757i | \(-0.0455966\pi\) | |||||||
\(702\) | 24.7218 | − | 171.944i | 0.00132915 | − | 0.00924445i | ||||
\(703\) | −1771.68 | − | 520.213i | −0.0950503 | − | 0.0279093i | ||||
\(704\) | 13854.4 | + | 4068.01i | 0.741699 | + | 0.217783i | ||||
\(705\) | 902.409 | − | 6276.39i | 0.0482081 | − | 0.335294i | ||||
\(706\) | −266.867 | + | 307.981i | −0.0142262 | + | 0.0164179i | ||||
\(707\) | 8669.79 | 0.461190 | ||||||||
\(708\) | 14193.1 | 0.753403 | ||||||||
\(709\) | −6442.80 | + | 7435.39i | −0.341276 | + | 0.393853i | −0.900280 | − | 0.435312i | \(-0.856638\pi\) |
0.559004 | + | 0.829165i | \(0.311184\pi\) | |||||||
\(710\) | 509.528 | + | 1115.71i | 0.0269328 | + | 0.0589745i | ||||
\(711\) | 2050.24 | + | 1317.61i | 0.108143 | + | 0.0694996i | ||||
\(712\) | −737.313 | − | 850.904i | −0.0388089 | − | 0.0447879i | ||||
\(713\) | −1848.81 | − | 1188.16i | −0.0971089 | − | 0.0624081i | ||||
\(714\) | −14.2156 | − | 98.8717i | −0.000745106 | − | 0.00518233i | ||||
\(715\) | 5951.04 | − | 41390.4i | 0.311268 | − | 2.16491i | ||||
\(716\) | 15108.8 | + | 33083.7i | 0.788608 | + | 1.72681i | ||||
\(717\) | −952.444 | − | 6624.39i | −0.0496090 | − | 0.345038i | ||||
\(718\) | −786.736 | − | 231.006i | −0.0408924 | − | 0.0120071i | ||||
\(719\) | −4038.91 | + | 2595.65i | −0.209494 | + | 0.134634i | −0.641180 | − | 0.767390i | \(-0.721555\pi\) |
0.431687 | + | 0.902024i | \(0.357919\pi\) | |||||||
\(720\) | −9334.62 | − | 5999.00i | −0.483168 | − | 0.310513i | ||||
\(721\) | −5584.95 | + | 12229.3i | −0.288480 | + | 0.631684i | ||||
\(722\) | −406.542 | − | 119.371i | −0.0209556 | − | 0.00615311i | ||||
\(723\) | 13302.2 | − | 8548.78i | 0.684250 | − | 0.439741i | ||||
\(724\) | −21167.7 | − | 24428.9i | −1.08659 | − | 1.25399i | ||||
\(725\) | 6517.48 | + | 7521.58i | 0.333866 | + | 0.385302i | ||||
\(726\) | 55.3534 | − | 121.207i | 0.00282969 | − | 0.00619616i | ||||
\(727\) | 3791.10 | − | 26367.7i | 0.193403 | − | 1.34515i | −0.629514 | − | 0.776989i | \(-0.716746\pi\) |
0.822918 | − | 0.568161i | \(-0.192345\pi\) | |||||||
\(728\) | 647.500 | − | 190.123i | 0.0329642 | − | 0.00967916i | ||||
\(729\) | −477.393 | + | 550.941i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 1413.90 | − | 415.157i | 0.0716858 | − | 0.0210488i | ||||
\(731\) | −839.114 | − | 1837.40i | −0.0424566 | − | 0.0929669i | ||||
\(732\) | 4443.70 | − | 9730.35i | 0.224377 | − | 0.491317i | ||||
\(733\) | 24434.2 | − | 15702.9i | 1.23124 | − | 0.791270i | 0.247157 | − | 0.968976i | \(-0.420504\pi\) |
0.984084 | + | 0.177705i | \(0.0568674\pi\) | |||||||
\(734\) | −117.588 | − | 817.844i | −0.00591316 | − | 0.0411270i | ||||
\(735\) | −16679.0 | + | 4897.38i | −0.837024 | + | 0.245772i | ||||
\(736\) | −1933.39 | −0.0968285 | ||||||||
\(737\) | 13073.9 | + | 8416.98i | 0.653439 | + | 0.420683i | ||||
\(738\) | 184.562 | 0.00920573 | ||||||||
\(739\) | 8700.13 | − | 2554.59i | 0.433071 | − | 0.127161i | −0.0579290 | − | 0.998321i | \(-0.518450\pi\) |
0.491000 | + | 0.871160i | \(0.336632\pi\) | |||||||
\(740\) | 948.257 | + | 6595.27i | 0.0471062 | + | 0.327631i | ||||
\(741\) | −8244.65 | + | 5298.51i | −0.408738 | + | 0.262680i | ||||
\(742\) | 104.008 | − | 227.746i | 0.00514590 | − | 0.0112679i | ||||
\(743\) | 1368.78 | + | 2997.22i | 0.0675852 | + | 0.147991i | 0.940410 | − | 0.340043i | \(-0.110442\pi\) |
−0.872825 | + | 0.488034i | \(0.837714\pi\) | |||||||
\(744\) | 71.2466 | − | 20.9199i | 0.00351079 | − | 0.00103086i | ||||
\(745\) | 2459.51 | − | 2838.43i | 0.120953 | − | 0.139587i | ||||
\(746\) | 284.564 | − | 83.5554i | 0.0139660 | − | 0.00410078i | ||||
\(747\) | 1382.32 | − | 9614.27i | 0.0677062 | − | 0.470907i | ||||
\(748\) | −5672.15 | + | 12420.3i | −0.277265 | + | 0.607126i | ||||
\(749\) | −7537.09 | − | 8698.26i | −0.367689 | − | 0.424336i | ||||
\(750\) | −393.555 | − | 454.186i | −0.0191608 | − | 0.0221127i | ||||
\(751\) | −27188.1 | + | 17472.7i | −1.32105 | + | 0.848987i | −0.995335 | − | 0.0964811i | \(-0.969241\pi\) |
−0.325715 | + | 0.945468i | \(0.605605\pi\) | |||||||
\(752\) | −6701.80 | − | 1967.83i | −0.324986 | − | 0.0954245i | ||||
\(753\) | 4249.89 | − | 9305.96i | 0.205677 | − | 0.450369i | ||||
\(754\) | 217.131 | + | 139.541i | 0.0104873 | + | 0.00673978i | ||||
\(755\) | 5631.90 | − | 3619.40i | 0.271478 | − | 0.174468i | ||||
\(756\) | −1358.05 | − | 398.758i | −0.0653329 | − | 0.0191835i | ||||
\(757\) | −5060.64 | − | 35197.5i | −0.242975 | − | 1.68993i | −0.637028 | − | 0.770841i | \(-0.719836\pi\) |
0.394053 | − | 0.919088i | \(-0.371073\pi\) | |||||||
\(758\) | 314.517 | + | 688.695i | 0.0150709 | + | 0.0330007i | ||||
\(759\) | −1448.36 | + | 10073.6i | −0.0692649 | + | 0.481748i | ||||
\(760\) | −158.482 | − | 1102.27i | −0.00756414 | − | 0.0526098i | ||||
\(761\) | 15178.5 | + | 9754.65i | 0.723024 | + | 0.464659i | 0.849688 | − | 0.527286i | \(-0.176791\pi\) |
−0.126664 | + | 0.991946i | \(0.540427\pi\) | |||||||
\(762\) | 173.050 | + | 199.710i | 0.00822696 | + | 0.00949442i | ||||
\(763\) | −11477.7 | − | 7376.30i | −0.544590 | − | 0.349987i | ||||
\(764\) | −9634.96 | − | 21097.6i | −0.456257 | − | 0.999064i | ||||
\(765\) | 6859.07 | − | 7915.79i | 0.324170 | − | 0.374113i | ||||
\(766\) | −429.621 | −0.0202648 | ||||||||
\(767\) | −45195.8 | −2.12767 | ||||||||
\(768\) | −7975.61 | + | 9204.34i | −0.374733 | + | 0.432465i | ||||
\(769\) | −3437.99 | + | 23911.8i | −0.161219 | + | 1.12130i | 0.735122 | + | 0.677935i | \(0.237125\pi\) |
−0.896341 | + | 0.443366i | \(0.853784\pi\) | |||||||
\(770\) | 290.378 | + | 85.2625i | 0.0135902 | + | 0.00399045i | ||||
\(771\) | −999.776 | − | 293.561i | −0.0467005 | − | 0.0137125i | ||||
\(772\) | −498.062 | + | 3464.10i | −0.0232198 | + | 0.161497i | ||||
\(773\) | −5555.34 | + | 6411.20i | −0.258488 | + | 0.298312i | −0.870129 | − | 0.492824i | \(-0.835965\pi\) |
0.611640 | + | 0.791136i | \(0.290510\pi\) | |||||||
\(774\) | 25.4233 | 0.00118065 | ||||||||
\(775\) | −4556.76 | −0.211205 | ||||||||
\(776\) | 829.693 | − | 957.516i | 0.0383817 | − | 0.0442949i | ||||
\(777\) | 352.756 | + | 772.428i | 0.0162871 | + | 0.0356637i | ||||
\(778\) | 422.548 | + | 271.555i | 0.0194718 | + | 0.0125138i | ||||
\(779\) | −6818.78 | − | 7869.29i | −0.313618 | − | 0.361934i | ||||
\(780\) | 29751.1 | + | 19119.9i | 1.36572 | + | 0.877695i | ||||
\(781\) | −3040.91 | − | 21150.0i | −0.139324 | − | 0.969022i | ||||
\(782\) | 86.4474 | − | 601.255i | 0.00395314 | − | 0.0274947i | ||||
\(783\) | −449.960 | − | 985.275i | −0.0205367 | − | 0.0449692i | ||||
\(784\) | 2725.05 | + | 18953.1i | 0.124137 | + | 0.863389i | ||||
\(785\) | 65791.1 | + | 19318.0i | 2.99132 | + | 0.878330i | ||||
\(786\) | 84.8638 | − | 54.5387i | 0.00385114 | − | 0.00247497i | ||||
\(787\) | 11178.9 | + | 7184.24i | 0.506334 | + | 0.325401i | 0.768745 | − | 0.639555i | \(-0.220881\pi\) |
−0.262411 | + | 0.964956i | \(0.584518\pi\) | |||||||
\(788\) | 5145.31 | − | 11266.7i | 0.232607 | − | 0.509337i | ||||
\(789\) | −10171.6 | − | 2986.64i | −0.458957 | − | 0.134762i | ||||
\(790\) | 370.755 | − | 238.270i | 0.0166973 | − | 0.0107307i | ||||
\(791\) | −5801.73 | − | 6695.56i | −0.260791 | − | 0.300969i | ||||
\(792\) | −225.180 | − | 259.872i | −0.0101028 | − | 0.0116593i | ||||
\(793\) | −14150.3 | + | 30984.8i | −0.633659 | + | 1.38752i | ||||
\(794\) | 132.290 | − | 920.099i | 0.00591285 | − | 0.0411248i | ||||
\(795\) | 25190.0 | − | 7396.45i | 1.12377 | − | 0.329968i | ||||
\(796\) | −4653.43 | + | 5370.35i | −0.207207 | + | 0.239129i | ||||
\(797\) | −11774.5 | + | 3457.30i | −0.523304 | + | 0.153656i | −0.532707 | − | 0.846300i | \(-0.678825\pi\) |
0.00940274 | + | 0.999956i | \(0.497007\pi\) | |||||||
\(798\) | −29.4650 | − | 64.5193i | −0.00130708 | − | 0.00286210i | ||||
\(799\) | 2738.92 | − | 5997.39i | 0.121271 | − | 0.265547i | ||||
\(800\) | −3372.38 | + | 2167.30i | −0.149040 | + | 0.0957820i | ||||
\(801\) | −1070.16 | − | 7443.12i | −0.0472062 | − | 0.328327i | ||||
\(802\) | 604.067 | − | 177.370i | 0.0265964 | − | 0.00780942i | ||||
\(803\) | −25671.0 | −1.12816 | ||||||||
\(804\) | −11068.5 | + | 7100.72i | −0.485518 | + | 0.311471i | ||||
\(805\) | 15157.3 | 0.663633 | ||||||||
\(806\) | −113.387 | + | 33.2933i | −0.00495518 | + | 0.00145497i | ||||
\(807\) | 1172.12 | + | 8152.29i | 0.0511284 | + | 0.355606i | ||||
\(808\) | −1498.57 | + | 963.075i | −0.0652471 | + | 0.0419318i | ||||
\(809\) | −1738.56 | + | 3806.92i | −0.0755557 | + | 0.165444i | −0.943641 | − | 0.330972i | \(-0.892624\pi\) |
0.868085 | + | 0.496416i | \(0.165351\pi\) | |||||||
\(810\) | 54.7636 | + | 119.916i | 0.00237555 | + | 0.00520173i | ||||
\(811\) | −7325.83 | + | 2151.06i | −0.317194 | + | 0.0931367i | −0.436454 | − | 0.899726i | \(-0.643766\pi\) |
0.119260 | + | 0.992863i | \(0.461948\pi\) | |||||||
\(812\) | 1377.16 | − | 1589.33i | 0.0595185 | − | 0.0686880i | ||||
\(813\) | −15952.4 | + | 4684.05i | −0.688161 | + | 0.202062i | ||||
\(814\) | −14.6733 | + | 102.055i | −0.000631818 | + | 0.00439439i | ||||
\(815\) | −4355.57 | + | 9537.36i | −0.187201 | + | 0.409913i | ||||
\(816\) | −7555.48 | − | 8719.49i | −0.324136 | − | 0.374072i | ||||
\(817\) | −939.283 | − | 1083.99i | −0.0402220 | − | 0.0464186i | ||||
\(818\) | 187.142 | − | 120.269i | 0.00799912 | − | 0.00514072i | ||||
\(819\) | 4324.49 | + | 1269.78i | 0.184505 | + | 0.0541757i | ||||
\(820\) | −15608.9 | + | 34178.6i | −0.664738 | + | 1.45557i | ||||
\(821\) | −23340.7 | − | 15000.2i | −0.992200 | − | 0.637648i | −0.0594721 | − | 0.998230i | \(-0.518942\pi\) |
−0.932728 | + | 0.360582i | \(0.882578\pi\) | |||||||
\(822\) | −122.918 | + | 78.9947i | −0.00521565 | + | 0.00335189i | ||||
\(823\) | −16863.3 | − | 4951.52i | −0.714239 | − | 0.209720i | −0.0956284 | − | 0.995417i | \(-0.530486\pi\) |
−0.618611 | + | 0.785698i | \(0.712304\pi\) | |||||||
\(824\) | −393.124 | − | 2734.24i | −0.0166203 | − | 0.115597i | ||||
\(825\) | 8765.94 | + | 19194.7i | 0.369928 | + | 0.810030i | ||||
\(826\) | 46.5507 | − | 323.767i | 0.00196090 | − | 0.0136384i | ||||
\(827\) | −3394.54 | − | 23609.6i | −0.142733 | − | 0.992727i | −0.927736 | − | 0.373236i | \(-0.878248\pi\) |
0.785004 | − | 0.619491i | \(-0.212661\pi\) | |||||||
\(828\) | −7240.80 | − | 4653.38i | −0.303907 | − | 0.195309i | ||||
\(829\) | 11348.8 | + | 13097.2i | 0.475464 | + | 0.548715i | 0.941923 | − | 0.335828i | \(-0.109016\pi\) |
−0.466459 | + | 0.884543i | \(0.654471\pi\) | |||||||
\(830\) | −1477.64 | − | 949.621i | −0.0617947 | − | 0.0397130i | ||||
\(831\) | −9472.05 | − | 20740.9i | −0.395405 | − | 0.865817i | ||||
\(832\) | 25465.3 | − | 29388.5i | 1.06112 | − | 1.22459i | ||||
\(833\) | −18074.7 | −0.751801 | ||||||||
\(834\) | −143.300 | −0.00594973 | ||||||||
\(835\) | 37296.2 | − | 43042.1i | 1.54573 | − | 1.78387i | ||||
\(836\) | −1379.83 | + | 9596.90i | −0.0570841 | + | 0.397029i | ||||
\(837\) | 475.838 | + | 139.719i | 0.0196504 | + | 0.00576987i | ||||
\(838\) | 762.345 | + | 223.845i | 0.0314257 | + | 0.00922743i | ||||
\(839\) | −5435.38 | + | 37803.9i | −0.223659 | + | 1.55558i | 0.500368 | + | 0.865813i | \(0.333198\pi\) |
−0.724027 | + | 0.689772i | \(0.757711\pi\) | |||||||
\(840\) | −335.372 | + | 387.040i | −0.0137755 | + | 0.0158978i | ||||
\(841\) | −22779.6 | −0.934012 | ||||||||
\(842\) | −670.295 | −0.0274346 | ||||||||
\(843\) | 5910.39 | − | 6820.95i | 0.241476 | − | 0.278679i | ||||
\(844\) | 7561.33 | + | 16557.0i | 0.308379 | + | 0.675255i | ||||
\(845\) | −59038.4 | − | 37941.7i | −2.40353 | − | 1.54466i | ||||
\(846\) | 54.3424 | + | 62.7145i | 0.00220843 | + | 0.00254866i | ||||
\(847\) | 2908.39 | + | 1869.11i | 0.117985 | + | 0.0758244i | ||||
\(848\) | −4115.60 | − | 28624.6i | −0.166663 | − | 1.15917i | ||||
\(849\) | −1386.18 | + | 9641.09i | −0.0560348 | + | 0.389731i | ||||
\(850\) | −523.208 | − | 1145.67i | −0.0211128 | − | 0.0462306i | ||||
\(851\) | 734.902 | + | 5111.36i | 0.0296030 | + | 0.205893i | ||||
\(852\) | 17339.2 | + | 5091.25i | 0.697219 | + | 0.204722i | ||||
\(853\) | 22155.4 | − | 14238.4i | 0.889317 | − | 0.571529i | −0.0142871 | − | 0.999898i | \(-0.504548\pi\) |
0.903604 | + | 0.428369i | \(0.140912\pi\) | |||||||
\(854\) | −207.390 | − | 133.282i | −0.00831001 | − | 0.00534052i | ||||
\(855\) | 3089.64 | − | 6765.36i | 0.123583 | − | 0.270609i | ||||
\(856\) | 2269.02 | + | 666.245i | 0.0906000 | + | 0.0266026i | ||||
\(857\) | 4904.12 | − | 3151.69i | 0.195475 | − | 0.125624i | −0.439242 | − | 0.898369i | \(-0.644753\pi\) |
0.634717 | + | 0.772745i | \(0.281117\pi\) | |||||||
\(858\) | 358.367 | + | 413.578i | 0.0142593 | + | 0.0164561i | ||||
\(859\) | 13631.5 | + | 15731.5i | 0.541443 | + | 0.624858i | 0.958868 | − | 0.283853i | \(-0.0916128\pi\) |
−0.417425 | + | 0.908711i | \(0.637067\pi\) | |||||||
\(860\) | −2150.11 | + | 4708.08i | −0.0852537 | + | 0.186679i | ||||
\(861\) | −681.484 | + | 4739.83i | −0.0269744 | + | 0.187611i | ||||
\(862\) | 613.861 | − | 180.246i | 0.0242555 | − | 0.00712204i | ||||
\(863\) | −18388.6 | + | 21221.5i | −0.725323 | + | 0.837067i | −0.991936 | − | 0.126736i | \(-0.959550\pi\) |
0.266614 | + | 0.963803i | \(0.414095\pi\) | |||||||
\(864\) | 418.613 | − | 122.916i | 0.0164832 | − | 0.00483991i | ||||
\(865\) | −2295.14 | − | 5025.65i | −0.0902163 | − | 0.197546i | ||||
\(866\) | −124.999 | + | 273.711i | −0.00490491 | + | 0.0107403i | ||||
\(867\) | −3237.31 | + | 2080.49i | −0.126811 | + | 0.0814962i | ||||
\(868\) | 137.029 | + | 953.058i | 0.00535838 | + | 0.0372683i | ||||
\(869\) | −7366.64 | + | 2163.04i | −0.287567 | + | 0.0844374i | ||||
\(870\) | −195.873 | −0.00763300 | ||||||||
\(871\) | 35246.0 | − | 22611.2i | 1.37114 | − | 0.879621i | ||||
\(872\) | 2803.32 | 0.108867 | ||||||||
\(873\) | 8119.05 | − | 2383.97i | 0.314763 | − | 0.0924228i | ||||
\(874\) | −61.3848 | − | 426.941i | −0.00237571 | − | 0.0165234i | ||||
\(875\) | 13117.4 | − | 8430.01i | 0.506797 | − | 0.325699i | ||||
\(876\) | 9019.00 | − | 19748.9i | 0.347858 | − | 0.761703i | ||||
\(877\) | −1662.35 | − | 3640.04i | −0.0640063 | − | 0.140154i | 0.874925 | − | 0.484258i | \(-0.160910\pi\) |
−0.938932 | + | 0.344103i | \(0.888183\pi\) | |||||||
\(878\) | 113.295 | − | 33.2663i | 0.00435479 | − | 0.00127868i | ||||
\(879\) | 12648.5 | − | 14597.2i | 0.485351 | − | 0.560125i | ||||
\(880\) | 33539.8 | − | 9848.19i | 1.28480 | − | 0.377253i | ||||
\(881\) | −519.579 | + | 3613.75i | −0.0198696 | + | 0.138196i | −0.997341 | − | 0.0728698i | \(-0.976784\pi\) |
0.977472 | + | 0.211066i | \(0.0676933\pi\) | |||||||
\(882\) | 94.5030 | − | 206.933i | 0.00360780 | − | 0.00789999i | ||||
\(883\) | −12841.5 | − | 14819.9i | −0.489414 | − | 0.564814i | 0.456295 | − | 0.889829i | \(-0.349176\pi\) |
−0.945709 | + | 0.325015i | \(0.894631\pi\) | |||||||
\(884\) | 24080.7 | + | 27790.6i | 0.916200 | + | 1.05735i | ||||
\(885\) | 28853.9 | − | 18543.3i | 1.09595 | − | 0.704322i | ||||
\(886\) | −87.1656 | − | 25.5941i | −0.00330517 | − | 0.000970487i | ||||
\(887\) | 12866.5 | − | 28173.6i | 0.487050 | − | 1.06649i | −0.493415 | − | 0.869794i | \(-0.664251\pi\) |
0.980464 | − | 0.196696i | \(-0.0630213\pi\) | |||||||
\(888\) | −146.778 | − | 94.3287i | −0.00554680 | − | 0.00356471i | ||||
\(889\) | −5767.84 | + | 3706.76i | −0.217601 | + | 0.139844i | ||||
\(890\) | −1304.73 | − | 383.105i | −0.0491402 | − | 0.0144289i | ||||
\(891\) | −326.834 | − | 2273.18i | −0.0122888 | − | 0.0854707i | ||||
\(892\) | 9493.08 | + | 20786.9i | 0.356336 | + | 0.780267i | ||||
\(893\) | 666.278 | − | 4634.06i | 0.0249677 | − | 0.173654i | ||||
\(894\) | 6.99499 | + | 48.6512i | 0.000261686 | + | 0.00182007i | ||||
\(895\) | 73939.4 | + | 47517.9i | 2.76148 | + | 1.77469i | ||||
\(896\) | 739.502 | + | 853.431i | 0.0275726 | + | 0.0318204i | ||||
\(897\) | 23057.2 | + | 14818.0i | 0.858259 | + | 0.551569i | ||||
\(898\) | −0.804125 | − | 1.76079i | −2.98820e−5 | − | 6.54324e-5i | ||||
\(899\) | −482.537 | + | 556.877i | −0.0179016 | + | 0.0206595i | ||||
\(900\) | −17846.4 | −0.660977 | ||||||||
\(901\) | 27297.9 | 1.00935 | ||||||||
\(902\) | −380.751 | + | 439.410i | −0.0140550 | + | 0.0162203i | ||||
\(903\) | −93.8740 | + | 652.908i | −0.00345950 | + | 0.0240614i | ||||
\(904\) | 1746.60 | + | 512.848i | 0.0642600 | + | 0.0188684i | ||||
\(905\) | −74949.3 | − | 22007.1i | −2.75293 | − | 0.808332i | ||||
\(906\) | −12.4685 | + | 86.7205i | −0.000457217 | + | 0.00318002i | ||||
\(907\) | −889.957 | + | 1027.07i | −0.0325805 | + | 0.0376000i | −0.771806 | − | 0.635858i | \(-0.780646\pi\) |
0.739225 | + | 0.673458i | \(0.235192\pi\) | |||||||
\(908\) | −9134.47 | −0.333852 | ||||||||
\(909\) | −11897.3 | −0.434111 | ||||||||
\(910\) | 533.733 | − | 615.961i | 0.0194430 | − | 0.0224384i | ||||
\(911\) | 10600.5 | + | 23211.8i | 0.385520 | + | 0.844172i | 0.998535 | + | 0.0541005i | \(0.0172291\pi\) |
−0.613015 | + | 0.790071i | \(0.710044\pi\) | |||||||
\(912\) | −6892.05 | − | 4429.25i | −0.250240 | − | 0.160819i | ||||
\(913\) | 20038.2 | + | 23125.3i | 0.726359 | + | 0.838263i | ||||
\(914\) | 944.580 | + | 607.045i | 0.0341837 | + | 0.0219686i | ||||
\(915\) | −3678.86 | − | 25587.0i | −0.132917 | − | 0.924460i | ||||
\(916\) | 2303.71 | − | 16022.7i | 0.0830968 | − | 0.577951i | ||||
\(917\) | 1087.28 | + | 2380.81i | 0.0391550 | + | 0.0857375i | ||||
\(918\) | 19.5076 | + | 135.678i | 0.000701357 | + | 0.00487805i | ||||
\(919\) | −28006.9 | − | 8223.56i | −1.00529 | − | 0.295180i | −0.262665 | − | 0.964887i | \(-0.584601\pi\) |
−0.742625 | + | 0.669708i | \(0.766419\pi\) | |||||||
\(920\) | −2619.94 | + | 1683.73i | −0.0938879 | + | 0.0603381i | ||||
\(921\) | −18072.6 | − | 11614.6i | −0.646593 | − | 0.415540i | ||||
\(922\) | −578.128 | + | 1265.92i | −0.0206504 | + | 0.0452180i | ||||
\(923\) | −55214.0 | − | 16212.3i | −1.96900 | − | 0.578152i | ||||
\(924\) | 3751.02 | − | 2410.63i | 0.133549 | − | 0.0858268i | ||||
\(925\) | 7011.62 | + | 8091.84i | 0.249233 | + | 0.287630i | ||||
\(926\) | −793.735 | − | 916.019i | −0.0281682 | − | 0.0325078i | ||||
\(927\) | 7664.03 | − | 16781.9i | 0.271542 | − | 0.594595i | ||||
\(928\) | −92.2540 | + | 641.641i | −0.00326335 | + | 0.0226971i | ||||
\(929\) | −1805.96 | + | 530.279i | −0.0637802 | + | 0.0187275i | −0.313467 | − | 0.949599i | \(-0.601491\pi\) |
0.249687 | + | 0.968327i | \(0.419672\pi\) | |||||||
\(930\) | 58.7285 | − | 67.7763i | 0.00207073 | − | 0.00238975i | ||||
\(931\) | −12314.6 | + | 3615.90i | −0.433507 | + | 0.127289i | ||||
\(932\) | −15313.5 | − | 33531.8i | −0.538207 | − | 1.17851i | ||||
\(933\) | −8008.84 | + | 17536.9i | −0.281026 | + | 0.615362i | ||||
\(934\) | 1085.20 | − | 697.415i | 0.0380180 | − | 0.0244327i | ||||
\(935\) | 4695.87 | + | 32660.5i | 0.164248 | + | 1.14237i | ||||
\(936\) | −888.541 | + | 260.899i | −0.0310287 | + | 0.00911085i | ||||
\(937\) | 45207.9 | 1.57618 | 0.788089 | − | 0.615561i | \(-0.211071\pi\) | ||||
0.788089 | + | 0.615561i | \(0.211071\pi\) | |||||||
\(938\) | 125.676 | + | 275.779i | 0.00437470 | + | 0.00959970i | ||||
\(939\) | −9865.50 | −0.342863 | ||||||||
\(940\) | −16209.8 | + | 4759.63i | −0.562453 | + | 0.165151i | ||||
\(941\) | 7083.85 | + | 49269.3i | 0.245406 | + | 1.70684i | 0.624125 | + | 0.781324i | \(0.285455\pi\) |
−0.378719 | + | 0.925512i | \(0.623635\pi\) | |||||||
\(942\) | −754.899 | + | 485.144i | −0.0261103 | + | 0.0167801i | ||||
\(943\) | −12096.9 | + | 26488.6i | −0.417741 | + | 0.914726i | ||||
\(944\) | −15694.8 | − | 34366.9i | −0.541126 | − | 1.18490i | ||||
\(945\) | −3281.82 | + | 963.629i | −0.112971 | + | 0.0331713i | ||||
\(946\) | −52.4482 | + | 60.5284i | −0.00180258 | + | 0.00208028i | ||||
\(947\) | 1096.50 | − | 321.963i | 0.0376258 | − | 0.0110479i | −0.262866 | − | 0.964832i | \(-0.584668\pi\) |
0.300491 | + | 0.953785i | \(0.402849\pi\) | |||||||
\(948\) | 924.084 | − | 6427.14i | 0.0316591 | − | 0.220194i | ||||
\(949\) | −28719.6 | + | 62887.2i | −0.982380 | + | 2.15111i | ||||
\(950\) | −585.666 | − | 675.894i | −0.0200016 | − | 0.0230831i | ||||
\(951\) | 9107.62 | + | 10510.8i | 0.310552 | + | 0.358396i | ||||
\(952\) | −447.969 | + | 287.892i | −0.0152508 | + | 0.00980109i | ||||
\(953\) | 34887.5 | + | 10243.9i | 1.18585 | + | 0.348197i | 0.814427 | − | 0.580266i | \(-0.197051\pi\) |
0.371424 | + | 0.928463i | \(0.378870\pi\) | |||||||
\(954\) | −142.727 | + | 312.528i | −0.00484376 | + | 0.0106063i | ||||
\(955\) | −47151.4 | − | 30302.4i | −1.59768 | − | 1.02677i | ||||
\(956\) | −15000.3 | + | 9640.09i | −0.507472 | + | 0.326133i | ||||
\(957\) | 3274.03 | + | 961.343i | 0.110590 | + | 0.0324721i | ||||
\(958\) | −83.0795 | − | 577.830i | −0.00280185 | − | 0.0194873i | ||||
\(959\) | −1574.83 | − | 3448.40i | −0.0530281 | − | 0.116115i | ||||
\(960\) | −4199.81 | + | 29210.3i | −0.141196 | + | 0.982039i | ||||
\(961\) | 4191.69 | + | 29153.8i | 0.140703 | + | 0.978612i | ||||
\(962\) | 233.593 | + | 150.121i | 0.00782883 | + | 0.00503129i | ||||
\(963\) | 10342.9 | + | 11936.3i | 0.346100 | + | 0.399421i | ||||
\(964\) | −35440.9 | − | 22776.5i | −1.18410 | − | 0.760977i | ||||
\(965\) | 3513.31 | + | 7693.07i | 0.117199 | + | 0.256631i | ||||
\(966\) | −129.899 | + | 149.912i | −0.00432655 | + | 0.00499310i | ||||
\(967\) | −45974.3 | −1.52889 | −0.764443 | − | 0.644692i | \(-0.776986\pi\) | ||||
−0.764443 | + | 0.644692i | \(0.776986\pi\) | |||||||
\(968\) | −710.343 | −0.0235860 | ||||||||
\(969\) | 5064.28 | − | 5844.49i | 0.167893 | − | 0.193758i | ||||
\(970\) | 217.769 | − | 1514.62i | 0.00720839 | − | 0.0501355i | ||||
\(971\) | 38609.4 | + | 11336.7i | 1.27604 | + | 0.374679i | 0.848441 | − | 0.529290i | \(-0.177542\pi\) |
0.427598 | + | 0.903969i | \(0.359360\pi\) | |||||||
\(972\) | 1863.60 | + | 547.202i | 0.0614969 | + | 0.0180571i | ||||
\(973\) | 529.126 | − | 3680.16i | 0.0174337 | − | 0.121254i | ||||
\(974\) | −1123.60 | + | 1296.70i | −0.0369635 | + | 0.0426582i | ||||
\(975\) | 56829.0 | 1.86665 | ||||||||
\(976\) | −28474.7 | −0.933867 | ||||||||
\(977\) | −38824.0 | + | 44805.3i | −1.27133 | + | 1.46719i | −0.454028 | + | 0.890987i | \(0.650013\pi\) |
−0.817304 | + | 0.576207i | \(0.804532\pi\) | |||||||
\(978\) | −57.0008 | − | 124.814i | −0.00186369 | − | 0.00408091i | ||||
\(979\) | 19928.5 | + | 12807.3i | 0.650580 | + | 0.418102i | ||||
\(980\) | 30329.1 | + | 35001.6i | 0.988599 | + | 1.14090i | ||||
\(981\) | 15750.5 | + | 10122.2i | 0.512615 | + | 0.329438i | ||||
\(982\) | 150.408 | + | 1046.11i | 0.00488771 | + | 0.0339947i | ||||
\(983\) | −7399.67 | + | 51465.8i | −0.240094 | + | 1.66989i | 0.411564 | + | 0.911381i | \(0.364983\pi\) |
−0.651658 | + | 0.758513i | \(0.725926\pi\) | |||||||
\(984\) | −408.725 | − | 894.982i | −0.0132415 | − | 0.0289949i | ||||
\(985\) | −4259.71 | − | 29626.9i | −0.137792 | − | 0.958367i | ||||
\(986\) | −195.416 | − | 57.3792i | −0.00631166 | − | 0.00185327i | ||||
\(987\) | −1811.26 | + | 1164.02i | −0.0584123 | + | 0.0375393i | ||||
\(988\) | 21966.2 | + | 14116.8i | 0.707326 | + | 0.454571i | ||||
\(989\) | −1666.34 | + | 3648.78i | −0.0535759 | + | 0.117315i | ||||
\(990\) | −398.475 | − | 117.003i | −0.0127923 | − | 0.00375615i | ||||
\(991\) | 8438.24 | − | 5422.92i | 0.270484 | − | 0.173829i | −0.398367 | − | 0.917226i | \(-0.630423\pi\) |
0.668851 | + | 0.743397i | \(0.266787\pi\) | |||||||
\(992\) | −194.361 | − | 224.305i | −0.00622074 | − | 0.00717912i | ||||
\(993\) | 2803.30 | + | 3235.18i | 0.0895872 | + | 0.103389i | ||||
\(994\) | 173.009 | − | 378.836i | 0.00552063 | − | 0.0120885i | ||||
\(995\) | −2443.85 | + | 16997.4i | −0.0778646 | + | 0.541560i | ||||
\(996\) | −24830.4 | + | 7290.87i | −0.789942 | + | 0.231948i | ||||
\(997\) | 35403.3 | − | 40857.6i | 1.12461 | − | 1.29787i | 0.174949 | − | 0.984577i | \(-0.444024\pi\) |
0.949658 | − | 0.313288i | \(-0.101431\pi\) | |||||||
\(998\) | 114.459 | − | 33.6082i | 0.00363039 | − | 0.00106598i | ||||
\(999\) | −484.075 | − | 1059.98i | −0.0153308 | − | 0.0335697i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 201.4.i.a.22.9 | ✓ | 170 | |
67.64 | even | 11 | inner | 201.4.i.a.64.9 | yes | 170 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.i.a.22.9 | ✓ | 170 | 1.1 | even | 1 | trivial | |
201.4.i.a.64.9 | yes | 170 | 67.64 | even | 11 | inner |