Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(113,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.113");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.u (of order \(22\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 113.11 | ||
Character | \(\chi\) | \(=\) | 483.113 |
Dual form | 483.2.u.a.218.11 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06610 | + | 1.65888i | −0.753845 | + | 1.17301i | 0.226172 | + | 0.974087i | \(0.427379\pi\) |
−0.980016 | + | 0.198918i | \(0.936257\pi\) | |||||||
\(3\) | −0.893651 | − | 1.48371i | −0.515950 | − | 0.856619i | ||||
\(4\) | −0.784489 | − | 1.71779i | −0.392244 | − | 0.858895i | ||||
\(5\) | −3.45226 | − | 1.01367i | −1.54390 | − | 0.453329i | −0.604627 | − | 0.796509i | \(-0.706678\pi\) |
−0.939270 | + | 0.343180i | \(0.888496\pi\) | |||||||
\(6\) | 3.41401 | + | 0.0993161i | 1.39376 | + | 0.0405456i | ||||
\(7\) | −0.755750 | − | 0.654861i | −0.285646 | − | 0.247514i | ||||
\(8\) | −0.217736 | − | 0.0313058i | −0.0769814 | − | 0.0110683i | ||||
\(9\) | −1.40277 | + | 2.65183i | −0.467591 | + | 0.883945i | ||||
\(10\) | 5.36201 | − | 4.64621i | 1.69562 | − | 1.46926i | ||||
\(11\) | 4.00358 | − | 2.57295i | 1.20713 | − | 0.775773i | 0.226951 | − | 0.973906i | \(-0.427124\pi\) |
0.980175 | + | 0.198133i | \(0.0634879\pi\) | |||||||
\(12\) | −1.84764 | + | 2.69906i | −0.533367 | + | 0.779151i | ||||
\(13\) | 0.0544245 | + | 0.0628092i | 0.0150946 | + | 0.0174201i | 0.763247 | − | 0.646107i | \(-0.223604\pi\) |
−0.748152 | + | 0.663527i | \(0.769059\pi\) | |||||||
\(14\) | 1.89204 | − | 0.555552i | 0.505668 | − | 0.148478i | ||||
\(15\) | 1.58112 | + | 6.02801i | 0.408243 | + | 1.55643i | ||||
\(16\) | 2.75740 | − | 3.18221i | 0.689350 | − | 0.795552i | ||||
\(17\) | −2.26201 | + | 4.95310i | −0.548617 | + | 1.20130i | 0.408808 | + | 0.912621i | \(0.365945\pi\) |
−0.957425 | + | 0.288683i | \(0.906783\pi\) | |||||||
\(18\) | −2.90358 | − | 5.15415i | −0.684380 | − | 1.21484i | ||||
\(19\) | −1.86231 | + | 0.850488i | −0.427243 | + | 0.195115i | −0.617419 | − | 0.786635i | \(-0.711822\pi\) |
0.190176 | + | 0.981750i | \(0.439094\pi\) | |||||||
\(20\) | 0.966977 | + | 6.72547i | 0.216223 | + | 1.50386i | ||||
\(21\) | −0.296245 | + | 1.70653i | −0.0646460 | + | 0.372395i | ||||
\(22\) | 9.38448i | 2.00078i | ||||||||
\(23\) | −3.58999 | − | 3.17993i | −0.748566 | − | 0.663061i | ||||
\(24\) | 0.148132 | + | 0.351033i | 0.0302373 | + | 0.0716544i | ||||
\(25\) | 6.68429 | + | 4.29573i | 1.33686 | + | 0.859146i | ||||
\(26\) | −0.162215 | + | 0.0233229i | −0.0318129 | + | 0.00457401i | ||||
\(27\) | 5.18814 | − | 0.288509i | 0.998457 | − | 0.0555235i | ||||
\(28\) | −0.532037 | + | 1.81195i | −0.100545 | + | 0.342426i | ||||
\(29\) | 8.37233 | + | 3.82352i | 1.55470 | + | 0.710009i | 0.993086 | − | 0.117388i | \(-0.0374521\pi\) |
0.561617 | + | 0.827397i | \(0.310179\pi\) | |||||||
\(30\) | −11.6854 | − | 3.80356i | −2.13345 | − | 0.694432i | ||||
\(31\) | −1.07817 | + | 7.49883i | −0.193645 | + | 1.34683i | 0.628615 | + | 0.777717i | \(0.283622\pi\) |
−0.822260 | + | 0.569113i | \(0.807287\pi\) | |||||||
\(32\) | 2.21530 | + | 7.54461i | 0.391613 | + | 1.33371i | ||||
\(33\) | −7.39531 | − | 3.64083i | −1.28736 | − | 0.633787i | ||||
\(34\) | −5.80508 | − | 9.03289i | −0.995564 | − | 1.54913i | ||||
\(35\) | 1.94523 | + | 3.02683i | 0.328803 | + | 0.511628i | ||||
\(36\) | 5.65576 | + | 0.329339i | 0.942626 | + | 0.0548898i | ||||
\(37\) | 2.82055 | + | 9.60593i | 0.463696 | + | 1.57920i | 0.776967 | + | 0.629541i | \(0.216757\pi\) |
−0.313271 | + | 0.949664i | \(0.601425\pi\) | |||||||
\(38\) | 0.574545 | − | 3.99605i | 0.0932036 | − | 0.648245i | ||||
\(39\) | 0.0445539 | − | 0.136879i | 0.00713434 | − | 0.0219183i | ||||
\(40\) | 0.719948 | + | 0.328789i | 0.113834 | + | 0.0519862i | ||||
\(41\) | 0.0896903 | − | 0.305457i | 0.0140073 | − | 0.0477044i | −0.952193 | − | 0.305498i | \(-0.901177\pi\) |
0.966200 | + | 0.257793i | \(0.0829954\pi\) | |||||||
\(42\) | −2.51510 | − | 2.31076i | −0.388088 | − | 0.356558i | ||||
\(43\) | 2.55865 | − | 0.367878i | 0.390190 | − | 0.0561008i | 0.0555718 | − | 0.998455i | \(-0.482302\pi\) |
0.334618 | + | 0.942354i | \(0.391393\pi\) | |||||||
\(44\) | −7.56055 | − | 4.85887i | −1.13980 | − | 0.732503i | ||||
\(45\) | 7.53084 | − | 7.73286i | 1.12263 | − | 1.15275i | ||||
\(46\) | 9.10240 | − | 2.56526i | 1.34208 | − | 0.378226i | ||||
\(47\) | − | 5.52617i | − | 0.806074i | −0.915184 | − | 0.403037i | \(-0.867955\pi\) | ||
0.915184 | − | 0.403037i | \(-0.132045\pi\) | |||||||
\(48\) | −7.18562 | − | 1.24739i | −1.03715 | − | 0.180045i | ||||
\(49\) | 0.142315 | + | 0.989821i | 0.0203307 | + | 0.141403i | ||||
\(50\) | −14.2522 | + | 6.50876i | −2.01557 | + | 0.920478i | ||||
\(51\) | 9.37040 | − | 1.07019i | 1.31212 | − | 0.149857i | ||||
\(52\) | 0.0651976 | − | 0.142763i | 0.00904129 | − | 0.0197977i | ||||
\(53\) | −6.37454 | + | 7.35661i | −0.875611 | + | 1.01051i | 0.124223 | + | 0.992254i | \(0.460356\pi\) |
−0.999833 | + | 0.0182542i | \(0.994189\pi\) | |||||||
\(54\) | −5.05246 | + | 8.91407i | −0.687552 | + | 1.21305i | ||||
\(55\) | −16.4295 | + | 4.82415i | −2.21536 | + | 0.650488i | ||||
\(56\) | 0.144053 | + | 0.166246i | 0.0192499 | + | 0.0222156i | ||||
\(57\) | 2.92613 | + | 2.00308i | 0.387575 | + | 0.265315i | ||||
\(58\) | −15.2685 | + | 9.81245i | −2.00485 | + | 1.28844i | ||||
\(59\) | 8.06669 | − | 6.98983i | 1.05019 | − | 0.909998i | 0.0541204 | − | 0.998534i | \(-0.482765\pi\) |
0.996073 | + | 0.0885367i | \(0.0282191\pi\) | |||||||
\(60\) | 9.11449 | − | 7.44494i | 1.17668 | − | 0.961138i | ||||
\(61\) | −2.80244 | − | 0.402930i | −0.358816 | − | 0.0515900i | −0.0394504 | − | 0.999222i | \(-0.512561\pi\) |
−0.319366 | + | 0.947632i | \(0.603470\pi\) | |||||||
\(62\) | −11.2902 | − | 9.78304i | −1.43386 | − | 1.24245i | ||||
\(63\) | 2.79673 | − | 1.08550i | 0.352355 | − | 0.136760i | ||||
\(64\) | −6.79711 | − | 1.99581i | −0.849639 | − | 0.249476i | ||||
\(65\) | −0.124219 | − | 0.272002i | −0.0154075 | − | 0.0337377i | ||||
\(66\) | 13.9238 | − | 8.38645i | 1.71390 | − | 1.03230i | ||||
\(67\) | 4.00537 | − | 6.23247i | 0.489334 | − | 0.761418i | −0.505512 | − | 0.862820i | \(-0.668696\pi\) |
0.994846 | + | 0.101402i | \(0.0323327\pi\) | |||||||
\(68\) | 10.2829 | 1.24699 | ||||||||
\(69\) | −1.50988 | + | 8.16825i | −0.181768 | + | 0.983341i | ||||
\(70\) | −7.09495 | −0.848009 | ||||||||
\(71\) | 1.32333 | − | 2.05914i | 0.157051 | − | 0.244375i | −0.753807 | − | 0.657095i | \(-0.771785\pi\) |
0.910858 | + | 0.412720i | \(0.135421\pi\) | |||||||
\(72\) | 0.388453 | − | 0.533486i | 0.0457796 | − | 0.0628719i | ||||
\(73\) | 0.121033 | + | 0.265024i | 0.0141658 | + | 0.0310188i | 0.916583 | − | 0.399845i | \(-0.130936\pi\) |
−0.902417 | + | 0.430864i | \(0.858209\pi\) | |||||||
\(74\) | −18.9421 | − | 5.56189i | −2.20197 | − | 0.646557i | ||||
\(75\) | 0.400184 | − | 13.7564i | 0.0462093 | − | 1.58845i | ||||
\(76\) | 2.92192 | + | 2.53186i | 0.335167 | + | 0.290424i | ||||
\(77\) | −4.71063 | − | 0.677286i | −0.536826 | − | 0.0771839i | ||||
\(78\) | 0.179568 | + | 0.219836i | 0.0203320 | + | 0.0248916i | ||||
\(79\) | 0.105511 | − | 0.0914258i | 0.0118709 | − | 0.0102862i | −0.648905 | − | 0.760869i | \(-0.724773\pi\) |
0.660776 | + | 0.750583i | \(0.270227\pi\) | |||||||
\(80\) | −12.7450 | + | 8.19070i | −1.42493 | + | 0.915748i | ||||
\(81\) | −5.06445 | − | 7.43985i | −0.562716 | − | 0.826650i | ||||
\(82\) | 0.411098 | + | 0.474432i | 0.0453982 | + | 0.0523923i | ||||
\(83\) | −0.914788 | + | 0.268606i | −0.100411 | + | 0.0294833i | −0.331552 | − | 0.943437i | \(-0.607572\pi\) |
0.231141 | + | 0.972920i | \(0.425754\pi\) | |||||||
\(84\) | 3.16386 | − | 0.829865i | 0.345205 | − | 0.0905457i | ||||
\(85\) | 12.8299 | − | 14.8065i | 1.39159 | − | 1.60599i | ||||
\(86\) | −2.11750 | + | 4.63668i | −0.228336 | + | 0.499986i | ||||
\(87\) | −1.80897 | − | 15.8390i | −0.193942 | − | 1.69812i | ||||
\(88\) | −0.952274 | + | 0.434889i | −0.101513 | + | 0.0463593i | ||||
\(89\) | 0.197763 | + | 1.37547i | 0.0209628 | + | 0.145799i | 0.997615 | − | 0.0690286i | \(-0.0219900\pi\) |
−0.976652 | + | 0.214828i | \(0.931081\pi\) | |||||||
\(90\) | 4.79928 | + | 20.7367i | 0.505889 | + | 2.18584i | ||||
\(91\) | − | 0.0831085i | − | 0.00871213i | ||||||
\(92\) | −2.64614 | + | 8.66148i | −0.275879 | + | 0.903021i | ||||
\(93\) | 12.0896 | − | 5.10165i | 1.25363 | − | 0.529017i | ||||
\(94\) | 9.16725 | + | 5.89143i | 0.945530 | + | 0.607655i | ||||
\(95\) | 7.29129 | − | 1.04833i | 0.748071 | − | 0.107556i | ||||
\(96\) | 9.21428 | − | 10.0291i | 0.940429 | − | 1.02359i | ||||
\(97\) | 2.68473 | − | 9.14336i | 0.272593 | − | 0.928367i | −0.703442 | − | 0.710753i | \(-0.748354\pi\) |
0.976035 | − | 0.217614i | \(-0.0698274\pi\) | |||||||
\(98\) | −1.79372 | − | 0.819163i | −0.181193 | − | 0.0827479i | ||||
\(99\) | 1.20690 | + | 14.2261i | 0.121298 | + | 1.42978i | ||||
\(100\) | 2.13542 | − | 14.8522i | 0.213542 | − | 1.48522i | ||||
\(101\) | 0.164930 | + | 0.561700i | 0.0164112 | + | 0.0558913i | 0.967292 | − | 0.253667i | \(-0.0816369\pi\) |
−0.950880 | + | 0.309559i | \(0.899819\pi\) | |||||||
\(102\) | −8.21444 | + | 16.6853i | −0.813351 | + | 1.65209i | ||||
\(103\) | 7.34315 | + | 11.4262i | 0.723542 | + | 1.12585i | 0.986928 | + | 0.161163i | \(0.0515245\pi\) |
−0.263385 | + | 0.964691i | \(0.584839\pi\) | |||||||
\(104\) | −0.00988389 | − | 0.0153796i | −0.000969196 | − | 0.00150810i | ||||
\(105\) | 2.75258 | − | 5.59108i | 0.268624 | − | 0.545634i | ||||
\(106\) | −5.40786 | − | 18.4175i | −0.525257 | − | 1.78886i | ||||
\(107\) | −2.68262 | + | 18.6580i | −0.259338 | + | 1.80374i | 0.278226 | + | 0.960516i | \(0.410254\pi\) |
−0.537564 | + | 0.843223i | \(0.680655\pi\) | |||||||
\(108\) | −4.56563 | − | 8.68580i | −0.439328 | − | 0.835792i | ||||
\(109\) | 3.54063 | + | 1.61695i | 0.339131 | + | 0.154876i | 0.577699 | − | 0.816250i | \(-0.303951\pi\) |
−0.238568 | + | 0.971126i | \(0.576678\pi\) | |||||||
\(110\) | 9.51281 | − | 32.3976i | 0.907011 | − | 3.08899i | ||||
\(111\) | 11.7318 | − | 12.7692i | 1.11353 | − | 1.21200i | ||||
\(112\) | −4.16781 | + | 0.599240i | −0.393821 | + | 0.0566229i | ||||
\(113\) | 9.41233 | + | 6.04894i | 0.885438 | + | 0.569036i | 0.902438 | − | 0.430819i | \(-0.141775\pi\) |
−0.0170004 | + | 0.999855i | \(0.505412\pi\) | |||||||
\(114\) | −6.44241 | + | 2.71862i | −0.603387 | + | 0.254622i | ||||
\(115\) | 9.17018 | + | 14.6170i | 0.855123 | + | 1.36304i | ||||
\(116\) | − | 17.3814i | − | 1.61382i | ||||||
\(117\) | −0.242905 | + | 0.0562175i | −0.0224566 | + | 0.00519731i | ||||
\(118\) | 2.99541 | + | 20.8335i | 0.275749 | + | 1.91788i | ||||
\(119\) | 4.95310 | − | 2.26201i | 0.454050 | − | 0.207358i | ||||
\(120\) | −0.155556 | − | 1.36202i | −0.0142002 | − | 0.124334i | ||||
\(121\) | 4.83907 | − | 10.5961i | 0.439915 | − | 0.963280i | ||||
\(122\) | 3.65609 | − | 4.21935i | 0.331007 | − | 0.382002i | ||||
\(123\) | −0.533361 | + | 0.139898i | −0.0480915 | + | 0.0126142i | ||||
\(124\) | 13.7272 | − | 4.03068i | 1.23274 | − | 0.361966i | ||||
\(125\) | −6.94045 | − | 8.00971i | −0.620773 | − | 0.716410i | ||||
\(126\) | −1.18087 | + | 5.79669i | −0.105200 | + | 0.516410i | ||||
\(127\) | 0.450558 | − | 0.289556i | 0.0399805 | − | 0.0256939i | −0.520498 | − | 0.853863i | \(-0.674254\pi\) |
0.560478 | + | 0.828169i | \(0.310617\pi\) | |||||||
\(128\) | −1.32790 | + | 1.15063i | −0.117371 | + | 0.101703i | ||||
\(129\) | −2.83236 | − | 3.46753i | −0.249375 | − | 0.305299i | ||||
\(130\) | 0.583649 | + | 0.0839160i | 0.0511894 | + | 0.00735992i | ||||
\(131\) | 14.1365 | + | 12.2494i | 1.23511 | + | 1.07023i | 0.995040 | + | 0.0994771i | \(0.0317170\pi\) |
0.240074 | + | 0.970755i | \(0.422828\pi\) | |||||||
\(132\) | −0.452646 | + | 15.5598i | −0.0393977 | + | 1.35431i | ||||
\(133\) | 1.96439 | + | 0.576797i | 0.170334 | + | 0.0500147i | ||||
\(134\) | 6.06881 | + | 13.2888i | 0.524266 | + | 1.14798i | ||||
\(135\) | −18.2032 | − | 4.26308i | −1.56669 | − | 0.366907i | ||||
\(136\) | 0.647582 | − | 1.00766i | 0.0555297 | − | 0.0864058i | ||||
\(137\) | 0.318619 | 0.0272214 | 0.0136107 | − | 0.999907i | \(-0.495667\pi\) | ||||
0.0136107 | + | 0.999907i | \(0.495667\pi\) | |||||||
\(138\) | −11.9405 | − | 11.2129i | −1.01644 | − | 0.954502i | ||||
\(139\) | −18.1577 | −1.54012 | −0.770058 | − | 0.637974i | \(-0.779773\pi\) | ||||
−0.770058 | + | 0.637974i | \(0.779773\pi\) | |||||||
\(140\) | 3.67346 | − | 5.71601i | 0.310464 | − | 0.483091i | ||||
\(141\) | −8.19922 | + | 4.93847i | −0.690499 | + | 0.415894i | ||||
\(142\) | 2.00507 | + | 4.39049i | 0.168262 | + | 0.368442i | ||||
\(143\) | 0.379498 | + | 0.111431i | 0.0317352 | + | 0.00931829i | ||||
\(144\) | 4.57068 | + | 11.7761i | 0.380890 | + | 0.981340i | ||||
\(145\) | −25.0277 | − | 21.6866i | −2.07843 | − | 1.80097i | ||||
\(146\) | −0.568676 | − | 0.0817633i | −0.0470640 | − | 0.00676678i | ||||
\(147\) | 1.34143 | − | 1.09571i | 0.110639 | − | 0.0903725i | ||||
\(148\) | 14.2883 | − | 12.3809i | 1.17449 | − | 1.01770i | ||||
\(149\) | −17.6148 | + | 11.3204i | −1.44306 | + | 0.927400i | −0.443547 | + | 0.896251i | \(0.646280\pi\) |
−0.999515 | + | 0.0311488i | \(0.990083\pi\) | |||||||
\(150\) | 22.3936 | + | 15.3295i | 1.82843 | + | 1.25165i | ||||
\(151\) | 10.5756 | + | 12.2049i | 0.860631 | + | 0.993221i | 0.999996 | + | 0.00297992i | \(0.000948539\pi\) |
−0.139365 | + | 0.990241i | \(0.544506\pi\) | |||||||
\(152\) | 0.432118 | − | 0.126881i | 0.0350494 | − | 0.0102914i | ||||
\(153\) | −9.96172 | − | 12.9466i | −0.805358 | − | 1.04667i | ||||
\(154\) | 6.14553 | − | 7.09232i | 0.495221 | − | 0.571515i | ||||
\(155\) | 11.3235 | − | 24.7950i | 0.909525 | − | 1.99158i | ||||
\(156\) | −0.270082 | + | 0.0308461i | −0.0216239 | + | 0.00246966i | ||||
\(157\) | −8.57109 | + | 3.91429i | −0.684047 | + | 0.312394i | −0.726955 | − | 0.686685i | \(-0.759065\pi\) |
0.0429076 | + | 0.999079i | \(0.486338\pi\) | |||||||
\(158\) | 0.0391794 | + | 0.272499i | 0.00311695 | + | 0.0216788i | ||||
\(159\) | 16.6117 | + | 2.88371i | 1.31739 | + | 0.228693i | ||||
\(160\) | − | 28.2915i | − | 2.23664i | ||||||
\(161\) | 0.630726 | + | 4.75418i | 0.0497082 | + | 0.374682i | ||||
\(162\) | 17.7410 | − | 0.469706i | 1.39387 | − | 0.0369036i | ||||
\(163\) | −11.5722 | − | 7.43697i | −0.906401 | − | 0.582508i | 0.00228116 | − | 0.999997i | \(-0.499274\pi\) |
−0.908682 | + | 0.417489i | \(0.862910\pi\) | |||||||
\(164\) | −0.595072 | + | 0.0855585i | −0.0464674 | + | 0.00668100i | ||||
\(165\) | 21.8399 | + | 20.0655i | 1.70023 | + | 1.56210i | ||||
\(166\) | 0.529668 | − | 1.80388i | 0.0411102 | − | 0.140008i | ||||
\(167\) | −0.509132 | − | 0.232513i | −0.0393978 | − | 0.0179924i | 0.395619 | − | 0.918415i | \(-0.370530\pi\) |
−0.435016 | + | 0.900422i | \(0.643257\pi\) | |||||||
\(168\) | 0.117927 | − | 0.362299i | 0.00909830 | − | 0.0279520i | ||||
\(169\) | 1.84911 | − | 12.8608i | 0.142239 | − | 0.989296i | ||||
\(170\) | 10.8842 | + | 37.0683i | 0.834783 | + | 2.84301i | ||||
\(171\) | 0.357046 | − | 6.13158i | 0.0273040 | − | 0.468893i | ||||
\(172\) | −2.63916 | − | 4.10662i | −0.201234 | − | 0.313127i | ||||
\(173\) | −3.08721 | − | 4.80380i | −0.234716 | − | 0.365226i | 0.703836 | − | 0.710362i | \(-0.251469\pi\) |
−0.938552 | + | 0.345137i | \(0.887833\pi\) | |||||||
\(174\) | 28.2035 | + | 13.8850i | 2.13810 | + | 1.05262i | ||||
\(175\) | −2.23854 | − | 7.62377i | −0.169218 | − | 0.576303i | ||||
\(176\) | 2.85183 | − | 19.8349i | 0.214964 | − | 1.49511i | ||||
\(177\) | −17.5797 | − | 5.72214i | −1.32137 | − | 0.430102i | ||||
\(178\) | −2.49257 | − | 1.13832i | −0.186826 | − | 0.0853207i | ||||
\(179\) | 0.276107 | − | 0.940334i | 0.0206372 | − | 0.0702838i | −0.948531 | − | 0.316685i | \(-0.897430\pi\) |
0.969168 | + | 0.246402i | \(0.0792482\pi\) | |||||||
\(180\) | −19.1913 | − | 6.87006i | −1.43043 | − | 0.512064i | ||||
\(181\) | −4.45851 | + | 0.641037i | −0.331398 | + | 0.0476479i | −0.306006 | − | 0.952030i | \(-0.598993\pi\) |
−0.0253927 | + | 0.999678i | \(0.508084\pi\) | |||||||
\(182\) | 0.137867 | + | 0.0886017i | 0.0102194 | + | 0.00656760i | ||||
\(183\) | 1.90658 | + | 4.51808i | 0.140938 | + | 0.333986i | ||||
\(184\) | 0.682122 | + | 0.804773i | 0.0502867 | + | 0.0593287i | ||||
\(185\) | − | 36.0213i | − | 2.64834i | ||||||
\(186\) | −4.42564 | + | 25.4940i | −0.324503 | + | 1.86931i | ||||
\(187\) | 3.68794 | + | 25.6502i | 0.269689 | + | 1.87573i | ||||
\(188\) | −9.49280 | + | 4.33522i | −0.692334 | + | 0.316178i | ||||
\(189\) | −4.10987 | − | 3.17947i | −0.298949 | − | 0.231272i | ||||
\(190\) | −6.03417 | + | 13.2130i | −0.437765 | + | 0.958572i | ||||
\(191\) | 2.79413 | − | 3.22460i | 0.202176 | − | 0.233324i | −0.645603 | − | 0.763673i | \(-0.723394\pi\) |
0.847779 | + | 0.530350i | \(0.177939\pi\) | |||||||
\(192\) | 3.11305 | + | 11.8685i | 0.224665 | + | 0.856534i | ||||
\(193\) | −5.40550 | + | 1.58720i | −0.389096 | + | 0.114249i | −0.470429 | − | 0.882438i | \(-0.655901\pi\) |
0.0813323 | + | 0.996687i | \(0.474082\pi\) | |||||||
\(194\) | 12.3055 | + | 14.2014i | 0.883487 | + | 1.01960i | ||||
\(195\) | −0.292563 | + | 0.427380i | −0.0209509 | + | 0.0306053i | ||||
\(196\) | 1.58866 | − | 1.02097i | 0.113476 | − | 0.0729265i | ||||
\(197\) | 4.86059 | − | 4.21173i | 0.346303 | − | 0.300073i | −0.464290 | − | 0.885683i | \(-0.653690\pi\) |
0.810593 | + | 0.585610i | \(0.199145\pi\) | |||||||
\(198\) | −24.8861 | − | 13.1643i | −1.76858 | − | 0.935547i | ||||
\(199\) | −17.1813 | − | 2.47030i | −1.21795 | − | 0.175115i | −0.496782 | − | 0.867875i | \(-0.665485\pi\) |
−0.721168 | + | 0.692760i | \(0.756394\pi\) | |||||||
\(200\) | −1.32093 | − | 1.14459i | −0.0934039 | − | 0.0809349i | ||||
\(201\) | −12.8266 | − | 0.373134i | −0.904716 | − | 0.0263189i | ||||
\(202\) | −1.10763 | − | 0.325228i | −0.0779322 | − | 0.0228830i | ||||
\(203\) | −3.82352 | − | 8.37233i | −0.268358 | − | 0.587623i | ||||
\(204\) | −9.18934 | − | 15.2568i | −0.643382 | − | 1.06819i | ||||
\(205\) | −0.619268 | + | 0.963600i | −0.0432516 | + | 0.0673008i | ||||
\(206\) | −26.7832 | −1.86607 | ||||||||
\(207\) | 13.4686 | − | 5.05935i | 0.936132 | − | 0.351649i | ||||
\(208\) | 0.349942 | 0.0242641 | ||||||||
\(209\) | −5.26765 | + | 8.19663i | −0.364371 | + | 0.566972i | ||||
\(210\) | 6.34041 | + | 10.5268i | 0.437530 | + | 0.726421i | ||||
\(211\) | 6.65171 | + | 14.5652i | 0.457923 | + | 1.00271i | 0.987956 | + | 0.154734i | \(0.0494520\pi\) |
−0.530034 | + | 0.847977i | \(0.677821\pi\) | |||||||
\(212\) | 17.6379 | + | 5.17895i | 1.21137 | + | 0.355692i | ||||
\(213\) | −4.23776 | − | 0.123280i | −0.290367 | − | 0.00844698i | ||||
\(214\) | −28.0915 | − | 24.3414i | −1.92029 | − | 1.66394i | ||||
\(215\) | −9.20601 | − | 1.32362i | −0.627845 | − | 0.0902705i | ||||
\(216\) | −1.13868 | − | 0.0995997i | −0.0774772 | − | 0.00677690i | ||||
\(217\) | 5.72551 | − | 4.96119i | 0.388673 | − | 0.336787i | ||||
\(218\) | −6.45699 | + | 4.14966i | −0.437323 | + | 0.281050i | ||||
\(219\) | 0.285058 | − | 0.416416i | 0.0192624 | − | 0.0281388i | ||||
\(220\) | 21.1757 | + | 24.4380i | 1.42766 | + | 1.64761i | ||||
\(221\) | −0.434209 | + | 0.127495i | −0.0292080 | + | 0.00857626i | ||||
\(222\) | 8.67538 | + | 33.0749i | 0.582254 | + | 2.21984i | ||||
\(223\) | −11.5816 | + | 13.3659i | −0.775564 | + | 0.895048i | −0.996781 | − | 0.0801763i | \(-0.974452\pi\) |
0.221217 | + | 0.975225i | \(0.428997\pi\) | |||||||
\(224\) | 3.26646 | − | 7.15254i | 0.218249 | − | 0.477899i | ||||
\(225\) | −20.7681 | + | 11.6997i | −1.38454 | + | 0.779978i | ||||
\(226\) | −20.0689 | + | 9.16517i | −1.33497 | + | 0.609658i | ||||
\(227\) | 2.27541 | + | 15.8258i | 0.151024 | + | 1.05040i | 0.914507 | + | 0.404570i | \(0.132579\pi\) |
−0.763483 | + | 0.645828i | \(0.776512\pi\) | |||||||
\(228\) | 1.14536 | − | 6.59787i | 0.0758532 | − | 0.436955i | ||||
\(229\) | 21.5619i | 1.42485i | 0.701748 | + | 0.712426i | \(0.252403\pi\) | ||||
−0.701748 | + | 0.712426i | \(0.747597\pi\) | |||||||
\(230\) | −34.0242 | − | 0.370946i | −2.24349 | − | 0.0244595i | ||||
\(231\) | 3.20477 | + | 7.59445i | 0.210858 | + | 0.499678i | ||||
\(232\) | −1.70326 | − | 1.09462i | −0.111825 | − | 0.0718654i | ||||
\(233\) | 11.6461 | − | 1.67445i | 0.762959 | − | 0.109697i | 0.250158 | − | 0.968205i | \(-0.419517\pi\) |
0.512800 | + | 0.858508i | \(0.328608\pi\) | |||||||
\(234\) | 0.165702 | − | 0.462883i | 0.0108323 | − | 0.0302596i | ||||
\(235\) | −5.60174 | + | 19.0778i | −0.365417 | + | 1.24450i | ||||
\(236\) | −18.3353 | − | 8.37344i | −1.19353 | − | 0.545065i | ||||
\(237\) | −0.229939 | − | 0.0748446i | −0.0149361 | − | 0.00486168i | ||||
\(238\) | −1.52809 | + | 10.6281i | −0.0990516 | + | 0.688919i | ||||
\(239\) | 7.56314 | + | 25.7577i | 0.489219 | + | 1.66613i | 0.720669 | + | 0.693279i | \(0.243835\pi\) |
−0.231450 | + | 0.972847i | \(0.574347\pi\) | |||||||
\(240\) | 23.5422 | + | 11.5902i | 1.51964 | + | 0.748143i | ||||
\(241\) | −0.402228 | − | 0.625878i | −0.0259098 | − | 0.0403164i | 0.828057 | − | 0.560644i | \(-0.189446\pi\) |
−0.853967 | + | 0.520327i | \(0.825810\pi\) | |||||||
\(242\) | 12.4187 | + | 19.3239i | 0.798304 | + | 1.24219i | ||||
\(243\) | −6.51271 | + | 14.1628i | −0.417790 | + | 0.908543i | ||||
\(244\) | 1.50633 | + | 5.13010i | 0.0964332 | + | 0.328421i | ||||
\(245\) | 0.512049 | − | 3.56138i | 0.0327136 | − | 0.227528i | ||||
\(246\) | 0.336541 | − | 1.03393i | 0.0214570 | − | 0.0659207i | ||||
\(247\) | −0.154774 | − | 0.0706828i | −0.00984801 | − | 0.00449744i | ||||
\(248\) | 0.469513 | − | 1.59901i | 0.0298141 | − | 0.101538i | ||||
\(249\) | 1.21603 | + | 1.11724i | 0.0770630 | + | 0.0708020i | ||||
\(250\) | 20.6864 | − | 2.97425i | 1.30832 | − | 0.188108i | ||||
\(251\) | 7.36204 | + | 4.73130i | 0.464688 | + | 0.298637i | 0.751956 | − | 0.659214i | \(-0.229111\pi\) |
−0.287268 | + | 0.957850i | \(0.592747\pi\) | |||||||
\(252\) | −4.05866 | − | 3.95263i | −0.255672 | − | 0.248992i | ||||
\(253\) | −22.5546 | − | 3.49424i | −1.41800 | − | 0.219681i | ||||
\(254\) | 1.05612i | 0.0662666i | ||||||||
\(255\) | −33.4339 | − | 5.80396i | −2.09371 | − | 0.363458i | ||||
\(256\) | −2.50943 | − | 17.4534i | −0.156839 | − | 1.09084i | ||||
\(257\) | −6.09906 | + | 2.78535i | −0.380449 | + | 0.173745i | −0.596455 | − | 0.802647i | \(-0.703424\pi\) |
0.216005 | + | 0.976392i | \(0.430697\pi\) | |||||||
\(258\) | 8.77178 | − | 1.00182i | 0.546107 | − | 0.0623708i | ||||
\(259\) | 4.15891 | − | 9.10675i | 0.258422 | − | 0.565866i | ||||
\(260\) | −0.369794 | + | 0.426765i | −0.0229337 | + | 0.0264669i | ||||
\(261\) | −21.8838 | + | 16.8385i | −1.35457 | + | 1.04228i | ||||
\(262\) | −35.3911 | + | 10.3918i | −2.18647 | + | 0.642006i | ||||
\(263\) | −15.4202 | − | 17.7959i | −0.950853 | − | 1.09734i | −0.995154 | − | 0.0983247i | \(-0.968652\pi\) |
0.0443014 | − | 0.999018i | \(-0.485894\pi\) | |||||||
\(264\) | 1.49625 | + | 1.02426i | 0.0920877 | + | 0.0630386i | ||||
\(265\) | 29.4638 | − | 18.9352i | 1.80995 | − | 1.16318i | ||||
\(266\) | −3.05107 | + | 2.64377i | −0.187073 | + | 0.162100i | ||||
\(267\) | 1.86406 | − | 1.52261i | 0.114079 | − | 0.0931823i | ||||
\(268\) | −13.8483 | − | 1.99108i | −0.845917 | − | 0.121624i | ||||
\(269\) | 10.2853 | + | 8.91228i | 0.627107 | + | 0.543392i | 0.909393 | − | 0.415939i | \(-0.136547\pi\) |
−0.282285 | + | 0.959331i | \(0.591092\pi\) | |||||||
\(270\) | 26.4784 | − | 25.6521i | 1.61142 | − | 1.56114i | ||||
\(271\) | 15.4172 | + | 4.52689i | 0.936526 | + | 0.274989i | 0.714166 | − | 0.699976i | \(-0.246806\pi\) |
0.222359 | + | 0.974965i | \(0.428624\pi\) | |||||||
\(272\) | 9.52455 | + | 20.8559i | 0.577511 | + | 1.26457i | ||||
\(273\) | −0.123309 | + | 0.0742700i | −0.00746298 | + | 0.00449502i | ||||
\(274\) | −0.339678 | + | 0.528550i | −0.0205207 | + | 0.0319309i | ||||
\(275\) | 37.8138 | 2.28026 | ||||||||
\(276\) | 15.2158 | − | 3.81424i | 0.915885 | − | 0.229590i | ||||
\(277\) | −1.18710 | −0.0713257 | −0.0356629 | − | 0.999364i | \(-0.511354\pi\) | ||||
−0.0356629 | + | 0.999364i | \(0.511354\pi\) | |||||||
\(278\) | 19.3579 | − | 30.1214i | 1.16101 | − | 1.80656i | ||||
\(279\) | −18.3732 | − | 13.3783i | −1.09998 | − | 0.800937i | ||||
\(280\) | −0.328789 | − | 0.719948i | −0.0196489 | − | 0.0430251i | ||||
\(281\) | −6.37183 | − | 1.87094i | −0.380111 | − | 0.111611i | 0.0860947 | − | 0.996287i | \(-0.472561\pi\) |
−0.466206 | + | 0.884676i | \(0.654379\pi\) | |||||||
\(282\) | 0.548837 | − | 18.8664i | 0.0326828 | − | 1.12348i | ||||
\(283\) | 19.9984 | + | 17.3287i | 1.18878 | + | 1.03009i | 0.998833 | + | 0.0482925i | \(0.0153780\pi\) |
0.189950 | + | 0.981794i | \(0.439167\pi\) | |||||||
\(284\) | −4.57532 | − | 0.657831i | −0.271495 | − | 0.0390351i | ||||
\(285\) | −8.07129 | − | 9.88130i | −0.478102 | − | 0.585318i | ||||
\(286\) | −0.589431 | + | 0.510745i | −0.0348538 | + | 0.0302010i | ||||
\(287\) | −0.267815 | + | 0.172114i | −0.0158086 | + | 0.0101596i | ||||
\(288\) | −23.1146 | − | 4.70878i | −1.36204 | − | 0.277468i | ||||
\(289\) | −8.28392 | − | 9.56016i | −0.487290 | − | 0.562362i | ||||
\(290\) | 62.6574 | − | 18.3979i | 3.67937 | − | 1.08036i | ||||
\(291\) | −15.9653 | + | 4.18762i | −0.935901 | + | 0.245482i | ||||
\(292\) | 0.360308 | − | 0.415817i | 0.0210854 | − | 0.0243339i | ||||
\(293\) | 0.639253 | − | 1.39977i | 0.0373456 | − | 0.0817754i | −0.890040 | − | 0.455883i | \(-0.849324\pi\) |
0.927385 | + | 0.374107i | \(0.122051\pi\) | |||||||
\(294\) | 0.387559 | + | 3.39340i | 0.0226029 | + | 0.197907i | ||||
\(295\) | −34.9337 | + | 15.9537i | −2.03392 | + | 0.928860i | ||||
\(296\) | −0.313416 | − | 2.17986i | −0.0182170 | − | 0.126702i | ||||
\(297\) | 20.0288 | − | 14.5039i | 1.16219 | − | 0.841600i | ||||
\(298\) | − | 41.2895i | − | 2.39183i | ||||||
\(299\) | 0.00434517 | − | 0.398550i | 0.000251288 | − | 0.0230488i | ||||
\(300\) | −23.9446 | + | 10.1043i | −1.38244 | + | 0.583373i | ||||
\(301\) | −2.17460 | − | 1.39753i | −0.125342 | − | 0.0805525i | ||||
\(302\) | −31.5211 | + | 4.53205i | −1.81384 | + | 0.260790i | ||||
\(303\) | 0.686009 | − | 0.746672i | 0.0394102 | − | 0.0428952i | ||||
\(304\) | −2.42870 | + | 8.27139i | −0.139295 | + | 0.474397i | ||||
\(305\) | 9.26632 | + | 4.23178i | 0.530588 | + | 0.242311i | ||||
\(306\) | 32.0969 | − | 2.72302i | 1.83486 | − | 0.155665i | ||||
\(307\) | 4.73151 | − | 32.9084i | 0.270042 | − | 1.87818i | −0.177799 | − | 0.984067i | \(-0.556898\pi\) |
0.447841 | − | 0.894113i | \(-0.352193\pi\) | |||||||
\(308\) | 2.53200 | + | 8.62320i | 0.144274 | + | 0.491352i | ||||
\(309\) | 10.3909 | − | 21.1061i | 0.591116 | − | 1.20068i | ||||
\(310\) | 29.0600 | + | 45.2182i | 1.65049 | + | 2.56822i | ||||
\(311\) | 0.429736 | + | 0.668683i | 0.0243681 | + | 0.0379175i | 0.853224 | − | 0.521545i | \(-0.174644\pi\) |
−0.828856 | + | 0.559462i | \(0.811008\pi\) | |||||||
\(312\) | −0.0139861 | + | 0.0284088i | −0.000791809 | + | 0.00160833i | ||||
\(313\) | 0.910502 | + | 3.10089i | 0.0514646 | + | 0.175272i | 0.981215 | − | 0.192919i | \(-0.0617954\pi\) |
−0.929750 | + | 0.368191i | \(0.879977\pi\) | |||||||
\(314\) | 2.64429 | − | 18.3914i | 0.149226 | − | 1.03789i | ||||
\(315\) | −10.7554 | + | 0.912456i | −0.605997 | + | 0.0514111i | ||||
\(316\) | −0.239822 | − | 0.109523i | −0.0134911 | − | 0.00616116i | ||||
\(317\) | −3.86023 | + | 13.1467i | −0.216812 | + | 0.738394i | 0.777212 | + | 0.629238i | \(0.216633\pi\) |
−0.994025 | + | 0.109156i | \(0.965185\pi\) | |||||||
\(318\) | −22.4934 | + | 24.4825i | −1.26137 | + | 1.37291i | ||||
\(319\) | 43.3571 | − | 6.23380i | 2.42753 | − | 0.349026i | ||||
\(320\) | 21.4423 | + | 13.7801i | 1.19866 | + | 0.770332i | ||||
\(321\) | 30.0804 | − | 12.6935i | 1.67892 | − | 0.708484i | ||||
\(322\) | −8.55902 | − | 4.02211i | −0.476976 | − | 0.224144i | ||||
\(323\) | − | 11.1480i | − | 0.620292i | ||||||
\(324\) | −8.80710 | + | 14.5361i | −0.489283 | + | 0.807563i | ||||
\(325\) | 0.0939774 | + | 0.653627i | 0.00521293 | + | 0.0362567i | ||||
\(326\) | 24.6741 | − | 11.2683i | 1.36657 | − | 0.624092i | ||||
\(327\) | −0.765007 | − | 6.69826i | −0.0423050 | − | 0.370414i | ||||
\(328\) | −0.0290914 | + | 0.0637013i | −0.00160630 | + | 0.00351732i | ||||
\(329\) | −3.61887 | + | 4.17640i | −0.199515 | + | 0.230252i | ||||
\(330\) | −56.5698 | + | 14.8380i | −3.11406 | + | 0.816804i | ||||
\(331\) | 22.1829 | − | 6.51349i | 1.21928 | − | 0.358014i | 0.392088 | − | 0.919928i | \(-0.371753\pi\) |
0.827196 | + | 0.561914i | \(0.189935\pi\) | |||||||
\(332\) | 1.17905 | + | 1.36070i | 0.0647087 | + | 0.0746779i | ||||
\(333\) | −29.4299 | − | 5.99531i | −1.61275 | − | 0.328541i | ||||
\(334\) | 0.928495 | − | 0.596707i | 0.0508050 | − | 0.0326504i | ||||
\(335\) | −20.1453 | + | 17.4560i | −1.10065 | + | 0.953722i | ||||
\(336\) | 4.61366 | + | 5.64829i | 0.251696 | + | 0.308140i | ||||
\(337\) | −25.4381 | − | 3.65745i | −1.38570 | − | 0.199234i | −0.591214 | − | 0.806515i | \(-0.701351\pi\) |
−0.794487 | + | 0.607281i | \(0.792260\pi\) | |||||||
\(338\) | 19.3633 | + | 16.7784i | 1.05322 | + | 0.912622i | ||||
\(339\) | 0.563511 | − | 19.3708i | 0.0306057 | − | 1.05208i | ||||
\(340\) | −35.4993 | − | 10.4235i | −1.92522 | − | 0.565295i | ||||
\(341\) | 14.9776 | + | 32.7963i | 0.811080 | + | 1.77602i | ||||
\(342\) | 9.79090 | + | 7.12916i | 0.529431 | + | 0.385501i | ||||
\(343\) | 0.540641 | − | 0.841254i | 0.0291919 | − | 0.0454234i | ||||
\(344\) | −0.568627 | −0.0306583 | ||||||||
\(345\) | 13.4924 | − | 26.6684i | 0.726408 | − | 1.43578i | ||||
\(346\) | 11.2602 | 0.605352 | ||||||||
\(347\) | −7.12350 | + | 11.0844i | −0.382409 | + | 0.595041i | −0.978090 | − | 0.208181i | \(-0.933246\pi\) |
0.595681 | + | 0.803221i | \(0.296882\pi\) | |||||||
\(348\) | −25.7889 | + | 15.5329i | −1.38243 | + | 0.832653i | ||||
\(349\) | −0.0119686 | − | 0.0262077i | −0.000640667 | − | 0.00140286i | 0.909311 | − | 0.416116i | \(-0.136609\pi\) |
−0.909952 | + | 0.414713i | \(0.863882\pi\) | |||||||
\(350\) | 15.0334 | + | 4.41421i | 0.803570 | + | 0.235950i | ||||
\(351\) | 0.300483 | + | 0.310161i | 0.0160386 | + | 0.0165552i | ||||
\(352\) | 28.2810 | + | 24.5056i | 1.50738 | + | 1.30615i | ||||
\(353\) | 13.4936 | + | 1.94009i | 0.718193 | + | 0.103261i | 0.491716 | − | 0.870756i | \(-0.336370\pi\) |
0.226478 | + | 0.974016i | \(0.427279\pi\) | |||||||
\(354\) | 28.2340 | − | 23.0622i | 1.50062 | − | 1.22574i | ||||
\(355\) | −6.65578 | + | 5.76727i | −0.353252 | + | 0.306095i | ||||
\(356\) | 2.20763 | − | 1.41875i | 0.117004 | − | 0.0751939i | ||||
\(357\) | −7.78250 | − | 5.32751i | −0.411894 | − | 0.281962i | ||||
\(358\) | 1.26554 | + | 1.46052i | 0.0668861 | + | 0.0771906i | ||||
\(359\) | 8.82520 | − | 2.59131i | 0.465776 | − | 0.136764i | −0.0404196 | − | 0.999183i | \(-0.512869\pi\) |
0.506196 | + | 0.862419i | \(0.331051\pi\) | |||||||
\(360\) | −1.88182 | + | 1.44797i | −0.0991806 | + | 0.0763145i | ||||
\(361\) | −9.69749 | + | 11.1915i | −0.510394 | + | 0.589026i | ||||
\(362\) | 3.68980 | − | 8.07954i | 0.193932 | − | 0.424651i | ||||
\(363\) | −20.0459 | + | 2.28944i | −1.05214 | + | 0.120164i | ||||
\(364\) | −0.142763 | + | 0.0651976i | −0.00748281 | + | 0.00341729i | ||||
\(365\) | −0.149187 | − | 1.03762i | −0.00780882 | − | 0.0543115i | ||||
\(366\) | −9.52755 | − | 1.65394i | −0.498013 | − | 0.0864527i | ||||
\(367\) | − | 14.7893i | − | 0.771996i | −0.922500 | − | 0.385998i | \(-0.873857\pi\) | ||
0.922500 | − | 0.385998i | \(-0.126143\pi\) | |||||||
\(368\) | −20.0182 | + | 2.65578i | −1.04352 | + | 0.138442i | ||||
\(369\) | 0.684206 | + | 0.666331i | 0.0356184 | + | 0.0346878i | ||||
\(370\) | 59.7550 | + | 38.4022i | 3.10651 | + | 1.99643i | ||||
\(371\) | 9.63511 | − | 1.38532i | 0.500230 | − | 0.0719222i | ||||
\(372\) | −18.2477 | − | 16.7652i | −0.946100 | − | 0.869234i | ||||
\(373\) | −1.91476 | + | 6.52107i | −0.0991425 | + | 0.337648i | −0.994095 | − | 0.108513i | \(-0.965391\pi\) |
0.894953 | + | 0.446161i | \(0.147209\pi\) | |||||||
\(374\) | −46.4823 | − | 21.2278i | −2.40354 | − | 1.09766i | ||||
\(375\) | −5.68172 | + | 17.4555i | −0.293403 | + | 0.901398i | ||||
\(376\) | −0.173001 | + | 1.20325i | −0.00892184 | + | 0.0620528i | ||||
\(377\) | 0.215508 | + | 0.733952i | 0.0110992 | + | 0.0378005i | ||||
\(378\) | 9.65587 | − | 3.42815i | 0.496644 | − | 0.176325i | ||||
\(379\) | −11.5679 | − | 18.0001i | −0.594206 | − | 0.924602i | −0.999944 | − | 0.0106126i | \(-0.996622\pi\) |
0.405738 | − | 0.913989i | \(-0.367015\pi\) | |||||||
\(380\) | −7.52075 | − | 11.7025i | −0.385806 | − | 0.600326i | ||||
\(381\) | −0.832258 | − | 0.409734i | −0.0426379 | − | 0.0209913i | ||||
\(382\) | 2.37040 | + | 8.07286i | 0.121280 | + | 0.413043i | ||||
\(383\) | −1.32783 | + | 9.23525i | −0.0678489 | + | 0.471899i | 0.927363 | + | 0.374162i | \(0.122070\pi\) |
−0.995212 | + | 0.0977374i | \(0.968839\pi\) | |||||||
\(384\) | 2.89388 | + | 0.941952i | 0.147678 | + | 0.0480688i | ||||
\(385\) | 15.5758 | + | 7.11321i | 0.793814 | + | 0.362523i | ||||
\(386\) | 3.12982 | − | 10.6592i | 0.159304 | − | 0.542538i | ||||
\(387\) | −2.61365 | + | 7.30115i | −0.132859 | + | 0.371138i | ||||
\(388\) | −17.8125 | + | 2.56105i | −0.904293 | + | 0.130018i | ||||
\(389\) | −18.8563 | − | 12.1182i | −0.956050 | − | 0.614416i | −0.0331478 | − | 0.999450i | \(-0.510553\pi\) |
−0.922902 | + | 0.385034i | \(0.874190\pi\) | |||||||
\(390\) | −0.397072 | − | 0.940956i | −0.0201065 | − | 0.0476471i | ||||
\(391\) | 23.8711 | − | 10.5886i | 1.20721 | − | 0.535488i | ||||
\(392\) | − | 0.219975i | − | 0.0111104i | ||||||
\(393\) | 5.54135 | − | 31.9211i | 0.279524 | − | 1.61021i | ||||
\(394\) | 1.80489 | + | 12.5533i | 0.0909288 | + | 0.632424i | ||||
\(395\) | −0.456927 | + | 0.208672i | −0.0229905 | + | 0.0104994i | ||||
\(396\) | 23.4907 | − | 13.2334i | 1.18045 | − | 0.665005i | ||||
\(397\) | −0.985720 | + | 2.15843i | −0.0494719 | + | 0.108328i | −0.932754 | − | 0.360514i | \(-0.882601\pi\) |
0.883282 | + | 0.468842i | \(0.155329\pi\) | |||||||
\(398\) | 22.4149 | − | 25.8681i | 1.12356 | − | 1.29665i | ||||
\(399\) | −0.899682 | − | 3.43004i | −0.0450405 | − | 0.171717i | ||||
\(400\) | 32.1011 | − | 9.42575i | 1.60506 | − | 0.471287i | ||||
\(401\) | −23.3147 | − | 26.9066i | −1.16428 | − | 1.34365i | −0.928273 | − | 0.371899i | \(-0.878707\pi\) |
−0.236007 | − | 0.971751i | \(-0.575839\pi\) | |||||||
\(402\) | 14.2934 | − | 20.8799i | 0.712888 | − | 1.04140i | ||||
\(403\) | −0.529674 | + | 0.340401i | −0.0263849 | + | 0.0169566i | ||||
\(404\) | 0.835498 | − | 0.723963i | 0.0415676 | − | 0.0360185i | ||||
\(405\) | 9.94220 | + | 30.8180i | 0.494032 | + | 1.53136i | ||||
\(406\) | 17.9649 | + | 2.58297i | 0.891585 | + | 0.128191i | ||||
\(407\) | 36.0079 | + | 31.2010i | 1.78484 | + | 1.54658i | ||||
\(408\) | −2.07378 | − | 0.0603278i | −0.102667 | − | 0.00298667i | ||||
\(409\) | 24.9638 | + | 7.33004i | 1.23438 | + | 0.362447i | 0.832902 | − | 0.553421i | \(-0.186678\pi\) |
0.401480 | + | 0.915868i | \(0.368496\pi\) | |||||||
\(410\) | −0.938297 | − | 2.05458i | −0.0463392 | − | 0.101469i | ||||
\(411\) | −0.284734 | − | 0.472737i | −0.0140449 | − | 0.0233184i | ||||
\(412\) | 13.8671 | − | 21.5777i | 0.683185 | − | 1.06306i | ||||
\(413\) | −10.6738 | −0.525221 | ||||||||
\(414\) | −5.96598 | + | 27.7365i | −0.293212 | + | 1.36318i | ||||
\(415\) | 3.43036 | 0.168390 | ||||||||
\(416\) | −0.353304 | + | 0.549752i | −0.0173222 | + | 0.0269538i | ||||
\(417\) | 16.2267 | + | 26.9407i | 0.794623 | + | 1.31929i | ||||
\(418\) | −7.98139 | − | 17.4768i | −0.390382 | − | 0.854818i | ||||
\(419\) | −4.65367 | − | 1.36644i | −0.227347 | − | 0.0667550i | 0.166075 | − | 0.986113i | \(-0.446891\pi\) |
−0.393422 | + | 0.919358i | \(0.628709\pi\) | |||||||
\(420\) | −11.7637 | − | 0.342214i | −0.574009 | − | 0.0166983i | ||||
\(421\) | 6.48324 | + | 5.61776i | 0.315974 | + | 0.273793i | 0.798379 | − | 0.602155i | \(-0.205691\pi\) |
−0.482405 | + | 0.875948i | \(0.660237\pi\) | |||||||
\(422\) | −31.2533 | − | 4.49355i | −1.52139 | − | 0.218742i | ||||
\(423\) | 14.6545 | + | 7.75197i | 0.712525 | + | 0.376914i | ||||
\(424\) | 1.61827 | − | 1.40224i | 0.0785903 | − | 0.0680989i | ||||
\(425\) | −36.3971 | + | 23.3910i | −1.76552 | + | 1.13463i | ||||
\(426\) | 4.72237 | − | 6.89851i | 0.228800 | − | 0.334234i | ||||
\(427\) | 1.85408 | + | 2.13972i | 0.0897253 | + | 0.103549i | ||||
\(428\) | 34.1550 | − | 10.0288i | 1.65095 | − | 0.484762i | ||||
\(429\) | −0.173808 | − | 0.662644i | −0.00839154 | − | 0.0319927i | ||||
\(430\) | 12.0102 | − | 13.8606i | 0.579185 | − | 0.668415i | ||||
\(431\) | 2.42794 | − | 5.31644i | 0.116950 | − | 0.256084i | −0.842100 | − | 0.539321i | \(-0.818681\pi\) |
0.959050 | + | 0.283237i | \(0.0914083\pi\) | |||||||
\(432\) | 13.3877 | − | 17.3053i | 0.644114 | − | 0.832600i | ||||
\(433\) | 9.41937 | − | 4.30168i | 0.452666 | − | 0.206726i | −0.176017 | − | 0.984387i | \(-0.556321\pi\) |
0.628683 | + | 0.777661i | \(0.283594\pi\) | |||||||
\(434\) | 2.12606 | + | 14.7870i | 0.102054 | + | 0.709801i | ||||
\(435\) | −9.81055 | + | 56.5140i | −0.470380 | + | 2.70964i | ||||
\(436\) | − | 7.35055i | − | 0.352027i | ||||||
\(437\) | 9.39017 | + | 2.86876i | 0.449193 | + | 0.137231i | ||||
\(438\) | 0.386886 | + | 0.916817i | 0.0184861 | + | 0.0438072i | ||||
\(439\) | 10.6398 | + | 6.83776i | 0.507808 | + | 0.326349i | 0.769333 | − | 0.638848i | \(-0.220589\pi\) |
−0.261524 | + | 0.965197i | \(0.584225\pi\) | |||||||
\(440\) | 3.72833 | − | 0.536053i | 0.177741 | − | 0.0255553i | ||||
\(441\) | −2.82448 | − | 1.01110i | −0.134499 | − | 0.0481477i | ||||
\(442\) | 0.251410 | − | 0.856223i | 0.0119583 | − | 0.0407264i | ||||
\(443\) | −8.38602 | − | 3.82977i | −0.398432 | − | 0.181958i | 0.206114 | − | 0.978528i | \(-0.433918\pi\) |
−0.604546 | + | 0.796570i | \(0.706645\pi\) | |||||||
\(444\) | −31.1383 | − | 10.1354i | −1.47776 | − | 0.481007i | ||||
\(445\) | 0.711550 | − | 4.94894i | 0.0337307 | − | 0.234602i | ||||
\(446\) | −9.82531 | − | 33.4619i | −0.465242 | − | 1.58447i | ||||
\(447\) | 32.5376 | + | 16.0188i | 1.53898 | + | 0.757662i | ||||
\(448\) | 3.82994 | + | 5.95950i | 0.180947 | + | 0.281560i | ||||
\(449\) | −7.16503 | − | 11.1490i | −0.338139 | − | 0.526154i | 0.629991 | − | 0.776602i | \(-0.283058\pi\) |
−0.968130 | + | 0.250448i | \(0.919422\pi\) | |||||||
\(450\) | 2.73246 | − | 46.9248i | 0.128810 | − | 2.21206i | ||||
\(451\) | −0.426843 | − | 1.45369i | −0.0200992 | − | 0.0684517i | ||||
\(452\) | 3.00694 | − | 20.9137i | 0.141435 | − | 0.983700i | ||||
\(453\) | 8.65760 | − | 26.5980i | 0.406769 | − | 1.24968i | ||||
\(454\) | −28.6790 | − | 13.0973i | −1.34597 | − | 0.614685i | ||||
\(455\) | −0.0842449 | + | 0.286912i | −0.00394946 | + | 0.0134506i | ||||
\(456\) | −0.574417 | − | 0.527748i | −0.0268995 | − | 0.0247141i | ||||
\(457\) | 1.11579 | − | 0.160427i | 0.0521946 | − | 0.00750445i | −0.116168 | − | 0.993230i | \(-0.537061\pi\) |
0.168363 | + | 0.985725i | \(0.446152\pi\) | |||||||
\(458\) | −35.7686 | − | 22.9871i | −1.67136 | − | 1.07412i | ||||
\(459\) | −10.3066 | + | 26.3500i | −0.481070 | + | 1.22991i | ||||
\(460\) | 17.9151 | − | 27.2193i | 0.835295 | − | 1.26911i | ||||
\(461\) | − | 20.5233i | − | 0.955867i | −0.878396 | − | 0.477933i | \(-0.841386\pi\) | ||
0.878396 | − | 0.477933i | \(-0.158614\pi\) | |||||||
\(462\) | −16.0149 | − | 2.78010i | −0.745080 | − | 0.129342i | ||||
\(463\) | 0.397593 | + | 2.76532i | 0.0184777 | + | 0.128515i | 0.996972 | − | 0.0777570i | \(-0.0247758\pi\) |
−0.978495 | + | 0.206272i | \(0.933867\pi\) | |||||||
\(464\) | 35.2531 | − | 16.0995i | 1.63658 | − | 0.747403i | ||||
\(465\) | −46.9078 | + | 5.35733i | −2.17530 | + | 0.248440i | ||||
\(466\) | −9.63812 | + | 21.1045i | −0.446477 | + | 0.977649i | ||||
\(467\) | −9.75104 | + | 11.2533i | −0.451224 | + | 0.520740i | −0.935094 | − | 0.354399i | \(-0.884685\pi\) |
0.483870 | + | 0.875140i | \(0.339231\pi\) | |||||||
\(468\) | 0.287126 | + | 0.373158i | 0.0132724 | + | 0.0172492i | ||||
\(469\) | −7.10846 | + | 2.08723i | −0.328238 | + | 0.0963794i | ||||
\(470\) | −25.6757 | − | 29.6314i | −1.18433 | − | 1.36679i | ||||
\(471\) | 13.4672 | + | 9.21898i | 0.620537 | + | 0.424788i | ||||
\(472\) | −1.97523 | + | 1.26941i | −0.0909175 | + | 0.0584291i | ||||
\(473\) | 9.29722 | − | 8.05609i | 0.427487 | − | 0.370419i | ||||
\(474\) | 0.369296 | − | 0.301650i | 0.0169623 | − | 0.0138552i | ||||
\(475\) | −16.1017 | − | 2.31507i | −0.738795 | − | 0.106223i | ||||
\(476\) | −7.77131 | − | 6.73388i | −0.356197 | − | 0.308647i | ||||
\(477\) | −10.5665 | − | 27.2239i | −0.483806 | − | 1.24650i | ||||
\(478\) | −50.7919 | − | 14.9139i | −2.32317 | − | 0.682144i | ||||
\(479\) | 10.8083 | + | 23.6669i | 0.493845 | + | 1.08137i | 0.978421 | + | 0.206620i | \(0.0662465\pi\) |
−0.484577 | + | 0.874749i | \(0.661026\pi\) | |||||||
\(480\) | −41.9763 | + | 25.2828i | −1.91595 | + | 1.15399i | ||||
\(481\) | −0.449833 | + | 0.699954i | −0.0205106 | + | 0.0319152i | ||||
\(482\) | 1.46707 | 0.0668232 | ||||||||
\(483\) | 6.49016 | − | 5.18439i | 0.295312 | − | 0.235898i | ||||
\(484\) | −21.9980 | −0.999911 | ||||||||
\(485\) | −18.5368 | + | 28.8438i | −0.841712 | + | 1.30973i | ||||
\(486\) | −16.5512 | − | 25.9027i | −0.750777 | − | 1.17497i | ||||
\(487\) | −9.78620 | − | 21.4288i | −0.443455 | − | 0.971031i | −0.990951 | − | 0.134223i | \(-0.957146\pi\) |
0.547496 | − | 0.836808i | \(-0.315581\pi\) | |||||||
\(488\) | 0.597580 | + | 0.175465i | 0.0270512 | + | 0.00794294i | ||||
\(489\) | −0.692817 | + | 23.8157i | −0.0313303 | + | 1.07699i | ||||
\(490\) | 5.36201 | + | 4.64621i | 0.242231 | + | 0.209894i | ||||
\(491\) | 23.7281 | + | 3.41158i | 1.07083 | + | 0.153963i | 0.655114 | − | 0.755530i | \(-0.272621\pi\) |
0.415719 | + | 0.909493i | \(0.363530\pi\) | |||||||
\(492\) | 0.658731 | + | 0.806454i | 0.0296979 | + | 0.0363577i | ||||
\(493\) | −37.8765 | + | 32.8202i | −1.70587 | + | 1.47815i | ||||
\(494\) | 0.282258 | − | 0.181396i | 0.0126994 | − | 0.00816140i | ||||
\(495\) | 10.2541 | − | 50.3356i | 0.460887 | − | 2.26242i | ||||
\(496\) | 20.8899 | + | 24.1082i | 0.937984 | + | 1.08249i | ||||
\(497\) | −2.34856 | + | 0.689599i | −0.105347 | + | 0.0309328i | ||||
\(498\) | −3.14977 | + | 0.826170i | −0.141145 | + | 0.0370216i | ||||
\(499\) | 16.9859 | − | 19.6028i | 0.760394 | − | 0.877542i | −0.235138 | − | 0.971962i | \(-0.575554\pi\) |
0.995532 | + | 0.0944203i | \(0.0300997\pi\) | |||||||
\(500\) | −8.31430 | + | 18.2058i | −0.371827 | + | 0.814187i | ||||
\(501\) | 0.110006 | + | 0.963188i | 0.00491469 | + | 0.0430321i | ||||
\(502\) | −15.6973 | + | 7.16872i | −0.700605 | + | 0.319956i | ||||
\(503\) | 1.70443 | + | 11.8545i | 0.0759966 | + | 0.528568i | 0.991885 | + | 0.127136i | \(0.0405784\pi\) |
−0.915889 | + | 0.401432i | \(0.868512\pi\) | |||||||
\(504\) | −0.642932 | + | 0.148799i | −0.0286385 | + | 0.00662804i | ||||
\(505\) | − | 2.10632i | − | 0.0937300i | ||||||
\(506\) | 29.8420 | − | 33.6902i | 1.32664 | − | 1.49771i | ||||
\(507\) | −20.7342 | + | 8.74957i | −0.920837 | + | 0.388582i | ||||
\(508\) | −0.850854 | − | 0.546811i | −0.0377505 | − | 0.0242608i | ||||
\(509\) | 9.63162 | − | 1.38482i | 0.426914 | − | 0.0613810i | 0.0744909 | − | 0.997222i | \(-0.476267\pi\) |
0.352423 | + | 0.935841i | \(0.385358\pi\) | |||||||
\(510\) | 45.2718 | − | 49.2752i | 2.00467 | − | 2.18194i | ||||
\(511\) | 0.0820838 | − | 0.279552i | 0.00363117 | − | 0.0123666i | ||||
\(512\) | 28.4319 | + | 12.9844i | 1.25652 | + | 0.573835i | ||||
\(513\) | −9.41654 | + | 4.94974i | −0.415750 | + | 0.218536i | ||||
\(514\) | 1.88164 | − | 13.0871i | 0.0829954 | − | 0.577246i | ||||
\(515\) | −13.7680 | − | 46.8897i | −0.606693 | − | 2.06620i | ||||
\(516\) | −3.73453 | + | 7.58564i | −0.164404 | + | 0.333939i | ||||
\(517\) | −14.2185 | − | 22.1245i | −0.625331 | − | 0.973034i | ||||
\(518\) | 10.6732 | + | 16.6078i | 0.468953 | + | 0.729705i | ||||
\(519\) | −4.36854 | + | 8.87344i | −0.191757 | + | 0.389501i | ||||
\(520\) | 0.0185318 | + | 0.0631135i | 0.000812674 | + | 0.00276771i | ||||
\(521\) | −2.35485 | + | 16.3783i | −0.103168 | + | 0.717547i | 0.870928 | + | 0.491411i | \(0.163519\pi\) |
−0.974096 | + | 0.226136i | \(0.927391\pi\) | |||||||
\(522\) | −4.60277 | − | 54.2541i | −0.201458 | − | 2.37464i | ||||
\(523\) | 19.9959 | + | 9.13181i | 0.874358 | + | 0.399306i | 0.801471 | − | 0.598034i | \(-0.204051\pi\) |
0.0728877 | + | 0.997340i | \(0.476779\pi\) | |||||||
\(524\) | 9.95190 | − | 33.8931i | 0.434751 | − | 1.48063i | ||||
\(525\) | −9.31097 | + | 10.1343i | −0.406364 | + | 0.442299i | ||||
\(526\) | 45.9608 | − | 6.60816i | 2.00398 | − | 0.288129i | ||||
\(527\) | −34.7037 | − | 22.3027i | −1.51171 | − | 0.971520i | ||||
\(528\) | −31.9777 | + | 13.4942i | −1.39165 | + | 0.587259i | ||||
\(529\) | 2.77611 | + | 22.8318i | 0.120701 | + | 0.992689i | ||||
\(530\) | 69.0637i | 2.99993i | ||||||||
\(531\) | 7.22011 | + | 31.1967i | 0.313326 | + | 1.35382i | ||||
\(532\) | −0.550226 | − | 3.82690i | −0.0238553 | − | 0.165917i | ||||
\(533\) | 0.0240669 | − | 0.0109910i | 0.00104245 | − | 0.000476072i | ||||
\(534\) | 0.538558 | + | 4.71551i | 0.0233057 | + | 0.204060i | ||||
\(535\) | 28.1742 | − | 61.6930i | 1.21808 | − | 2.66722i | ||||
\(536\) | −1.06723 | + | 1.23164i | −0.0460972 | + | 0.0531990i | ||||
\(537\) | −1.64192 | + | 0.430669i | −0.0708542 | + | 0.0185847i | ||||
\(538\) | −25.7496 | + | 7.56075i | −1.11014 | + | 0.325967i | ||||
\(539\) | 3.11653 | + | 3.59667i | 0.134238 | + | 0.154919i | ||||
\(540\) | 6.95717 | + | 34.6137i | 0.299389 | + | 1.48954i | ||||
\(541\) | 19.6740 | − | 12.6437i | 0.845851 | − | 0.543596i | −0.0444269 | − | 0.999013i | \(-0.514146\pi\) |
0.890278 | + | 0.455417i | \(0.150510\pi\) | |||||||
\(542\) | −23.9458 | + | 20.7491i | −1.02856 | + | 0.891251i | ||||
\(543\) | 4.93547 | + | 6.04226i | 0.211801 | + | 0.259298i | ||||
\(544\) | −42.3802 | − | 6.09336i | −1.81704 | − | 0.261251i | ||||
\(545\) | −10.5841 | − | 9.17119i | −0.453374 | − | 0.392851i | ||||
\(546\) | 0.00825401 | − | 0.283733i | 0.000353239 | − | 0.0121427i | ||||
\(547\) | 6.29633 | + | 1.84877i | 0.269212 | + | 0.0790476i | 0.413552 | − | 0.910480i | \(-0.364288\pi\) |
−0.144341 | + | 0.989528i | \(0.546106\pi\) | |||||||
\(548\) | −0.249953 | − | 0.547320i | −0.0106775 | − | 0.0233804i | ||||
\(549\) | 4.99970 | − | 6.86639i | 0.213382 | − | 0.293050i | ||||
\(550\) | −40.3132 | + | 62.7285i | −1.71896 | + | 2.67475i | ||||
\(551\) | −18.8437 | −0.802770 | ||||||||
\(552\) | 0.584469 | − | 1.73126i | 0.0248766 | − | 0.0736872i | ||||
\(553\) | −0.139611 | −0.00593686 | ||||||||
\(554\) | 1.26556 | − | 1.96925i | 0.0537685 | − | 0.0836654i | ||||
\(555\) | −53.4450 | + | 32.1905i | −2.26861 | + | 1.36641i | ||||
\(556\) | 14.2445 | + | 31.1911i | 0.604102 | + | 1.32280i | ||||
\(557\) | −5.11104 | − | 1.50074i | −0.216562 | − | 0.0635882i | 0.171652 | − | 0.985158i | \(-0.445090\pi\) |
−0.388214 | + | 0.921569i | \(0.626908\pi\) | |||||||
\(558\) | 41.7806 | − | 16.2164i | 1.76871 | − | 0.686495i | ||||
\(559\) | 0.162359 | + | 0.140685i | 0.00686705 | + | 0.00595034i | ||||
\(560\) | 14.9958 | + | 2.15607i | 0.633687 | + | 0.0911105i | ||||
\(561\) | 34.7616 | − | 28.3942i | 1.46764 | − | 1.19880i | ||||
\(562\) | 9.89665 | − | 8.57549i | 0.417465 | − | 0.361735i | ||||
\(563\) | 31.3583 | − | 20.1528i | 1.32160 | − | 0.849339i | 0.326211 | − | 0.945297i | \(-0.394228\pi\) |
0.995385 | + | 0.0959583i | \(0.0305916\pi\) | |||||||
\(564\) | 14.9154 | + | 10.2104i | 0.628054 | + | 0.429934i | ||||
\(565\) | −26.3622 | − | 30.4236i | −1.10906 | − | 1.27993i | ||||
\(566\) | −50.0666 | + | 14.7009i | −2.10445 | + | 0.617924i | ||||
\(567\) | −1.04461 | + | 8.93917i | −0.0438695 | + | 0.375410i | ||||
\(568\) | −0.352600 | + | 0.406922i | −0.0147948 | + | 0.0170741i | ||||
\(569\) | 6.35010 | − | 13.9048i | 0.266210 | − | 0.582919i | −0.728569 | − | 0.684973i | \(-0.759814\pi\) |
0.994779 | + | 0.102054i | \(0.0325413\pi\) | |||||||
\(570\) | 24.9967 | − | 2.85487i | 1.04700 | − | 0.119577i | ||||
\(571\) | −23.4413 | + | 10.7053i | −0.980990 | + | 0.448003i | −0.840342 | − | 0.542057i | \(-0.817646\pi\) |
−0.140648 | + | 0.990060i | \(0.544919\pi\) | |||||||
\(572\) | −0.106297 | − | 0.739314i | −0.00444451 | − | 0.0309123i | ||||
\(573\) | −7.28133 | − | 1.26400i | −0.304182 | − | 0.0528045i | ||||
\(574\) | − | 0.627764i | − | 0.0262024i | ||||||
\(575\) | −10.3364 | − | 36.6772i | −0.431059 | − | 1.52954i | ||||
\(576\) | 14.8274 | − | 15.2251i | 0.617807 | − | 0.634381i | ||||
\(577\) | 25.4496 | + | 16.3555i | 1.05948 | + | 0.680888i | 0.949730 | − | 0.313071i | \(-0.101358\pi\) |
0.109752 | + | 0.993959i | \(0.464994\pi\) | |||||||
\(578\) | 24.6906 | − | 3.54998i | 1.02699 | − | 0.147660i | ||||
\(579\) | 7.18557 | + | 6.60178i | 0.298622 | + | 0.274360i | ||||
\(580\) | −17.6191 | + | 60.0052i | −0.731594 | + | 2.49158i | ||||
\(581\) | 0.867250 | + | 0.396060i | 0.0359796 | + | 0.0164313i | ||||
\(582\) | 10.0738 | − | 30.9489i | 0.417572 | − | 1.28287i | ||||
\(583\) | −6.59284 | + | 45.8542i | −0.273047 | + | 1.89909i | ||||
\(584\) | −0.0180564 | − | 0.0614945i | −0.000747179 | − | 0.00254466i | ||||
\(585\) | 0.895556 | + | 0.0521489i | 0.0370267 | + | 0.00215609i | ||||
\(586\) | 1.64054 | + | 2.55273i | 0.0677702 | + | 0.105453i | ||||
\(587\) | 8.37417 | + | 13.0305i | 0.345639 | + | 0.537825i | 0.969935 | − | 0.243363i | \(-0.0782506\pi\) |
−0.624296 | + | 0.781188i | \(0.714614\pi\) | |||||||
\(588\) | −2.93453 | − | 1.44472i | −0.121018 | − | 0.0595791i | ||||
\(589\) | −4.36978 | − | 14.8821i | −0.180054 | − | 0.613207i | ||||
\(590\) | 10.7775 | − | 74.9590i | 0.443702 | − | 3.08601i | ||||
\(591\) | −10.5926 | − | 3.44788i | −0.435723 | − | 0.141827i | ||||
\(592\) | 38.3454 | + | 17.5118i | 1.57599 | + | 0.719730i | ||||
\(593\) | 9.40547 | − | 32.0321i | 0.386236 | − | 1.31540i | −0.505493 | − | 0.862831i | \(-0.668689\pi\) |
0.891729 | − | 0.452569i | \(-0.149493\pi\) | |||||||
\(594\) | 2.70750 | + | 48.6880i | 0.111090 | + | 1.99769i | ||||
\(595\) | −19.3923 | + | 2.78820i | −0.795008 | + | 0.114305i | ||||
\(596\) | 33.2646 | + | 21.3779i | 1.36257 | + | 0.875672i | ||||
\(597\) | 11.6889 | + | 27.6996i | 0.478395 | + | 1.13367i | ||||
\(598\) | 0.656515 | + | 0.432102i | 0.0268469 | + | 0.0176700i | ||||
\(599\) | 7.22688i | 0.295282i | 0.989041 | + | 0.147641i | \(0.0471681\pi\) | ||||
−0.989041 | + | 0.147641i | \(0.952832\pi\) | |||||||
\(600\) | −0.517789 | + | 2.98274i | −0.0211387 | + | 0.121770i | ||||
\(601\) | 3.71987 | + | 25.8723i | 0.151737 | + | 1.05535i | 0.913308 | + | 0.407271i | \(0.133519\pi\) |
−0.761571 | + | 0.648082i | \(0.775571\pi\) | |||||||
\(602\) | 4.63668 | − | 2.11750i | 0.188977 | − | 0.0863029i | ||||
\(603\) | 10.9089 | + | 19.3643i | 0.444243 | + | 0.788576i | ||||
\(604\) | 12.6690 | − | 27.7413i | 0.515495 | − | 1.12878i | ||||
\(605\) | −27.4467 | + | 31.6752i | −1.11587 | + | 1.28778i | ||||
\(606\) | 0.507287 | + | 1.93403i | 0.0206071 | + | 0.0785647i | ||||
\(607\) | −28.1721 | + | 8.27207i | −1.14347 | + | 0.335753i | −0.797989 | − | 0.602672i | \(-0.794103\pi\) |
−0.345482 | + | 0.938426i | \(0.612284\pi\) | |||||||
\(608\) | −10.5422 | − | 12.1663i | −0.427541 | − | 0.493409i | ||||
\(609\) | −9.00520 | + | 13.1549i | −0.364909 | + | 0.533065i | ||||
\(610\) | −16.8988 | + | 10.8602i | −0.684213 | + | 0.439717i | ||||
\(611\) | 0.347094 | − | 0.300759i | 0.0140419 | − | 0.0121674i | ||||
\(612\) | −14.4246 | + | 27.2686i | −0.583080 | + | 1.10227i | ||||
\(613\) | 29.1853 | + | 4.19621i | 1.17878 | + | 0.169483i | 0.703726 | − | 0.710472i | \(-0.251518\pi\) |
0.475057 | + | 0.879955i | \(0.342427\pi\) | |||||||
\(614\) | 49.5468 | + | 42.9325i | 1.99955 | + | 1.73262i | ||||
\(615\) | 1.98311 | + | 0.0576901i | 0.0799667 | + | 0.00232629i | ||||
\(616\) | 1.00447 | + | 0.294940i | 0.0404713 | + | 0.0118835i | ||||
\(617\) | −10.6170 | − | 23.2479i | −0.427423 | − | 0.935926i | −0.993738 | − | 0.111737i | \(-0.964359\pi\) |
0.566315 | − | 0.824189i | \(-0.308369\pi\) | |||||||
\(618\) | 23.9348 | + | 39.7384i | 0.962799 | + | 1.59851i | ||||
\(619\) | −0.322308 | + | 0.501521i | −0.0129547 | + | 0.0201578i | −0.847670 | − | 0.530523i | \(-0.821996\pi\) |
0.834716 | + | 0.550681i | \(0.185632\pi\) | |||||||
\(620\) | −51.4757 | −2.06732 | ||||||||
\(621\) | −19.5428 | − | 15.4622i | −0.784226 | − | 0.620475i | ||||
\(622\) | −1.56741 | −0.0628472 | ||||||||
\(623\) | 0.751282 | − | 1.16902i | 0.0300995 | − | 0.0468357i | ||||
\(624\) | −0.312726 | − | 0.519211i | −0.0125191 | − | 0.0207851i | ||||
\(625\) | −0.662656 | − | 1.45101i | −0.0265063 | − | 0.0580406i | ||||
\(626\) | −6.11468 | − | 1.79543i | −0.244392 | − | 0.0717599i | ||||
\(627\) | 16.8688 | + | 0.490727i | 0.673676 | + | 0.0195977i | ||||
\(628\) | 13.4478 | + | 11.6526i | 0.536628 | + | 0.464990i | ||||
\(629\) | −53.9593 | − | 7.75817i | −2.15150 | − | 0.309339i | ||||
\(630\) | 9.95262 | − | 18.8146i | 0.396522 | − | 0.749593i | ||||
\(631\) | −20.8981 | + | 18.1083i | −0.831941 | + | 0.720881i | −0.962711 | − | 0.270531i | \(-0.912801\pi\) |
0.130770 | + | 0.991413i | \(0.458255\pi\) | |||||||
\(632\) | −0.0258357 | + | 0.0166036i | −0.00102769 | + | 0.000660456i | ||||
\(633\) | 15.6662 | − | 22.8854i | 0.622676 | − | 0.909613i | ||||
\(634\) | −17.6935 | − | 20.4194i | −0.702698 | − | 0.810956i | ||||
\(635\) | −1.84896 | + | 0.542903i | −0.0733736 | + | 0.0215444i | ||||
\(636\) | −8.07807 | − | 30.7976i | −0.320316 | − | 1.22121i | ||||
\(637\) | −0.0544245 | + | 0.0628092i | −0.00215638 | + | 0.00248859i | ||||
\(638\) | −35.8817 | + | 78.5700i | −1.42057 | + | 3.11062i | ||||
\(639\) | 3.60417 | + | 6.39777i | 0.142579 | + | 0.253092i | ||||
\(640\) | 5.75063 | − | 2.62622i | 0.227313 | − | 0.103811i | ||||
\(641\) | 6.54007 | + | 45.4872i | 0.258317 | + | 1.79663i | 0.544818 | + | 0.838555i | \(0.316599\pi\) |
−0.286501 | + | 0.958080i | \(0.592492\pi\) | |||||||
\(642\) | −11.0115 | + | 63.4323i | −0.434590 | + | 2.50347i | ||||
\(643\) | 2.83828i | 0.111931i | 0.998433 | + | 0.0559654i | \(0.0178236\pi\) | ||||
−0.998433 | + | 0.0559654i | \(0.982176\pi\) | |||||||
\(644\) | 7.67188 | − | 4.81305i | 0.302314 | − | 0.189661i | ||||
\(645\) | 6.26309 | + | 14.8419i | 0.246609 | + | 0.584399i | ||||
\(646\) | 18.4932 | + | 11.8849i | 0.727606 | + | 0.467604i | ||||
\(647\) | −13.6791 | + | 1.96676i | −0.537782 | + | 0.0773214i | −0.405854 | − | 0.913938i | \(-0.633026\pi\) |
−0.131928 | + | 0.991259i | \(0.542117\pi\) | |||||||
\(648\) | 0.869804 | + | 1.77847i | 0.0341691 | + | 0.0698650i | ||||
\(649\) | 14.3112 | − | 48.7395i | 0.561764 | − | 1.91319i | ||||
\(650\) | −1.18448 | − | 0.540933i | −0.0464591 | − | 0.0212171i | ||||
\(651\) | −12.4776 | − | 4.06142i | −0.489034 | − | 0.159179i | ||||
\(652\) | −3.69694 | + | 25.7128i | −0.144783 | + | 1.00699i | ||||
\(653\) | 14.1803 | + | 48.2937i | 0.554919 | + | 1.88988i | 0.443939 | + | 0.896057i | \(0.353581\pi\) |
0.110979 | + | 0.993823i | \(0.464601\pi\) | |||||||
\(654\) | 11.9272 | + | 5.87194i | 0.466389 | + | 0.229611i | ||||
\(655\) | −36.3860 | − | 56.6178i | −1.42172 | − | 2.21224i | ||||
\(656\) | −0.724716 | − | 1.12768i | −0.0282954 | − | 0.0440285i | ||||
\(657\) | −0.872582 | − | 0.0508111i | −0.0340427 | − | 0.00198233i | ||||
\(658\) | −3.07008 | − | 10.4557i | −0.119684 | − | 0.407606i | ||||
\(659\) | −1.00239 | + | 6.97175i | −0.0390475 | + | 0.271581i | −0.999987 | − | 0.00517878i | \(-0.998352\pi\) |
0.960939 | + | 0.276760i | \(0.0892606\pi\) | |||||||
\(660\) | 17.3352 | − | 53.2576i | 0.674772 | − | 2.07305i | ||||
\(661\) | −17.9090 | − | 8.17878i | −0.696580 | − | 0.318118i | 0.0354676 | − | 0.999371i | \(-0.488708\pi\) |
−0.732048 | + | 0.681253i | \(0.761435\pi\) | |||||||
\(662\) | −12.8441 | + | 43.7428i | −0.499198 | + | 1.70011i | ||||
\(663\) | 0.577197 | + | 0.530303i | 0.0224165 | + | 0.0205952i | ||||
\(664\) | 0.207591 | − | 0.0298471i | 0.00805611 | − | 0.00115829i | ||||
\(665\) | −6.19690 | − | 3.98251i | −0.240305 | − | 0.154435i | ||||
\(666\) | 41.3207 | − | 42.4291i | 1.60114 | − | 1.64410i | ||||
\(667\) | −17.8981 | − | 40.3498i | −0.693018 | − | 1.56235i | ||||
\(668\) | 1.05699i | 0.0408960i | ||||||||
\(669\) | 30.1811 | + | 5.23928i | 1.16687 | + | 0.202562i | ||||
\(670\) | −7.48055 | − | 52.0283i | −0.288999 | − | 2.01003i | ||||
\(671\) | −12.2565 | + | 5.59737i | −0.473158 | + | 0.216084i | ||||
\(672\) | −13.5314 | + | 1.54541i | −0.521983 | + | 0.0596156i | ||||
\(673\) | −6.08347 | + | 13.3209i | −0.234501 | + | 0.513485i | −0.989898 | − | 0.141782i | \(-0.954717\pi\) |
0.755397 | + | 0.655267i | \(0.227444\pi\) | |||||||
\(674\) | 33.1868 | − | 38.2996i | 1.27831 | − | 1.47524i | ||||
\(675\) | 35.9183 | + | 20.3584i | 1.38250 | + | 0.783594i | ||||
\(676\) | −23.5428 | + | 6.91280i | −0.905494 | + | 0.265877i | ||||
\(677\) | 3.98997 | + | 4.60467i | 0.153347 | + | 0.176972i | 0.827225 | − | 0.561871i | \(-0.189918\pi\) |
−0.673878 | + | 0.738843i | \(0.735373\pi\) | |||||||
\(678\) | 31.5331 | + | 21.5859i | 1.21102 | + | 0.829003i | ||||
\(679\) | −8.01661 | + | 5.15196i | −0.307649 | + | 0.197714i | ||||
\(680\) | −3.25706 | + | 2.82225i | −0.124902 | + | 0.108229i | ||||
\(681\) | 21.4475 | − | 17.5188i | 0.821870 | − | 0.671323i | ||||
\(682\) | −70.3726 | − | 10.1181i | −2.69471 | − | 0.387440i | ||||
\(683\) | 35.4835 | + | 30.7466i | 1.35774 | + | 1.17649i | 0.966640 | + | 0.256139i | \(0.0824504\pi\) |
0.391099 | + | 0.920349i | \(0.372095\pi\) | |||||||
\(684\) | −10.8129 | + | 4.19682i | −0.413440 | + | 0.160470i | ||||
\(685\) | −1.09995 | − | 0.322976i | −0.0420271 | − | 0.0123403i | ||||
\(686\) | 0.819163 | + | 1.79372i | 0.0312758 | + | 0.0684844i | ||||
\(687\) | 31.9916 | − | 19.2688i | 1.22055 | − | 0.735152i | ||||
\(688\) | 5.88454 | − | 9.15653i | 0.224346 | − | 0.349089i | ||||
\(689\) | −0.808994 | −0.0308202 | ||||||||
\(690\) | 29.8554 | + | 50.8134i | 1.13657 | + | 1.93443i | ||||
\(691\) | −0.927625 | −0.0352885 | −0.0176443 | − | 0.999844i | \(-0.505617\pi\) | ||||
−0.0176443 | + | 0.999844i | \(0.505617\pi\) | |||||||
\(692\) | −5.83003 | + | 9.07171i | −0.221625 | + | 0.344855i | ||||
\(693\) | 8.40400 | − | 11.5417i | 0.319242 | − | 0.438434i | ||||
\(694\) | −10.7933 | − | 23.6340i | −0.409708 | − | 0.897136i | ||||
\(695\) | 62.6851 | + | 18.4060i | 2.37778 | + | 0.698179i | ||||
\(696\) | −0.101973 | + | 3.50535i | −0.00386529 | + | 0.132870i | ||||
\(697\) | 1.31008 | + | 1.13519i | 0.0496228 | + | 0.0429984i | ||||
\(698\) | 0.0562351 | + | 0.00808539i | 0.00212853 | + | 0.000306036i | ||||
\(699\) | −12.8919 | − | 15.7830i | −0.487617 | − | 0.596967i | ||||
\(700\) | −11.3399 | + | 9.82611i | −0.428609 | + | 0.371392i | ||||
\(701\) | −7.30874 | + | 4.69704i | −0.276047 | + | 0.177405i | −0.671338 | − | 0.741151i | \(-0.734280\pi\) |
0.395291 | + | 0.918556i | \(0.370644\pi\) | |||||||
\(702\) | −0.834863 | + | 0.167803i | −0.0315099 | + | 0.00633331i | ||||
\(703\) | −13.4225 | − | 15.4904i | −0.506238 | − | 0.584230i | ||||
\(704\) | −32.3479 | + | 9.49821i | −1.21916 | + | 0.357977i | ||||
\(705\) | 33.3118 | − | 8.73753i | 1.25460 | − | 0.329074i | ||||
\(706\) | −17.6039 | + | 20.3160i | −0.662532 | + | 0.764602i | ||||
\(707\) | 0.243190 | − | 0.532511i | 0.00914609 | − | 0.0200271i | ||||
\(708\) | 3.96161 | + | 34.6871i | 0.148887 | + | 1.30362i | ||||
\(709\) | 31.8610 | − | 14.5504i | 1.19657 | − | 0.546453i | 0.285366 | − | 0.958419i | \(-0.407885\pi\) |
0.911200 | + | 0.411965i | \(0.135157\pi\) | |||||||
\(710\) | −2.47149 | − | 17.1896i | −0.0927535 | − | 0.645115i | ||||
\(711\) | 0.0944379 | + | 0.408047i | 0.00354170 | + | 0.0153030i | ||||
\(712\) | − | 0.305681i | − | 0.0114559i | ||||||
\(713\) | 27.7164 | − | 23.4923i | 1.03799 | − | 0.879792i | ||||
\(714\) | 17.1346 | − | 7.23059i | 0.641246 | − | 0.270598i | ||||
\(715\) | −1.19717 | − | 0.769374i | −0.0447716 | − | 0.0287730i | ||||
\(716\) | −1.83190 | + | 0.263387i | −0.0684613 | + | 0.00984325i | ||||
\(717\) | 31.4581 | − | 34.2399i | 1.17482 | − | 1.27871i | ||||
\(718\) | −5.10985 | + | 17.4025i | −0.190698 | + | 0.649457i | ||||
\(719\) | −31.0077 | − | 14.1608i | −1.15639 | − | 0.528107i | −0.257502 | − | 0.966278i | \(-0.582899\pi\) |
−0.898892 | + | 0.438171i | \(0.855627\pi\) | |||||||
\(720\) | −3.84205 | − | 45.2873i | −0.143185 | − | 1.68776i | ||||
\(721\) | 1.93296 | − | 13.4441i | 0.0719874 | − | 0.500683i | ||||
\(722\) | −8.22688 | − | 28.0182i | −0.306173 | − | 1.04273i | ||||
\(723\) | −0.569169 | + | 1.15611i | −0.0211676 | + | 0.0429960i | ||||
\(724\) | 4.59882 | + | 7.15590i | 0.170914 | + | 0.265947i | ||||
\(725\) | 39.5383 | + | 61.5228i | 1.46841 | + | 2.28490i | ||||
\(726\) | 17.5730 | − | 35.6945i | 0.652195 | − | 1.32475i | ||||
\(727\) | −11.7974 | − | 40.1781i | −0.437540 | − | 1.49012i | −0.823343 | − | 0.567544i | \(-0.807894\pi\) |
0.385803 | − | 0.922581i | \(-0.373924\pi\) | |||||||
\(728\) | −0.00260177 | + | 0.0180957i | −9.64281e−5 | + | 0.000670672i | ||||
\(729\) | 26.8335 | − | 2.99364i | 0.993834 | − | 0.110876i | ||||
\(730\) | 1.88034 | + | 0.858721i | 0.0695944 | + | 0.0317827i | ||||
\(731\) | −3.96554 | + | 13.5054i | −0.146671 | + | 0.499514i | ||||
\(732\) | 6.26543 | − | 6.81948i | 0.231577 | − | 0.252055i | ||||
\(733\) | 22.8047 | − | 3.27882i | 0.842311 | − | 0.121106i | 0.292366 | − | 0.956307i | \(-0.405558\pi\) |
0.549945 | + | 0.835201i | \(0.314648\pi\) | |||||||
\(734\) | 24.5337 | + | 15.7668i | 0.905555 | + | 0.581965i | ||||
\(735\) | −5.74164 | + | 2.42290i | −0.211784 | + | 0.0893701i | ||||
\(736\) | 16.0384 | − | 34.1296i | 0.591183 | − | 1.25803i | ||||
\(737\) | − | 35.2578i | − | 1.29874i | ||||||
\(738\) | −1.83479 | + | 0.424642i | −0.0675397 | + | 0.0156313i | ||||
\(739\) | 2.48629 | + | 17.2925i | 0.0914596 | + | 0.636115i | 0.983059 | + | 0.183290i | \(0.0586748\pi\) |
−0.891599 | + | 0.452825i | \(0.850416\pi\) | |||||||
\(740\) | −61.8770 | + | 28.2583i | −2.27464 | + | 1.03880i | ||||
\(741\) | 0.0334412 | + | 0.292805i | 0.00122849 | + | 0.0107564i | ||||
\(742\) | −7.97389 | + | 17.4604i | −0.292731 | + | 0.640991i | ||||
\(743\) | −7.45462 | + | 8.60309i | −0.273483 | + | 0.315617i | −0.875832 | − | 0.482617i | \(-0.839686\pi\) |
0.602348 | + | 0.798233i | \(0.294232\pi\) | |||||||
\(744\) | −2.79205 | + | 0.732342i | −0.102362 | + | 0.0268490i | ||||
\(745\) | 72.2861 | − | 21.2251i | 2.64836 | − | 0.777628i | ||||
\(746\) | −8.77635 | − | 10.1285i | −0.321325 | − | 0.370829i | ||||
\(747\) | 0.570942 | − | 2.80266i | 0.0208897 | − | 0.102544i | ||||
\(748\) | 41.1685 | − | 26.4574i | 1.50527 | − | 0.967378i | ||||
\(749\) | 14.2458 | − | 12.3440i | 0.520530 | − | 0.451042i | ||||
\(750\) | −22.8993 | − | 28.0345i | −0.836164 | − | 1.02368i | ||||
\(751\) | −24.1744 | − | 3.47575i | −0.882136 | − | 0.126832i | −0.313663 | − | 0.949534i | \(-0.601556\pi\) |
−0.568472 | + | 0.822702i | \(0.692465\pi\) | |||||||
\(752\) | −17.5854 | − | 15.2378i | −0.641274 | − | 0.555667i | ||||
\(753\) | 0.440761 | − | 15.1512i | 0.0160622 | − | 0.552142i | ||||
\(754\) | −1.44729 | − | 0.424963i | −0.0527072 | − | 0.0154762i | ||||
\(755\) | −24.1379 | − | 52.8547i | −0.878470 | − | 1.92358i | ||||
\(756\) | −2.23752 | + | 9.55414i | −0.0813777 | + | 0.347481i | ||||
\(757\) | −0.623190 | + | 0.969702i | −0.0226502 | + | 0.0352444i | −0.852394 | − | 0.522900i | \(-0.824850\pi\) |
0.829744 | + | 0.558144i | \(0.188486\pi\) | |||||||
\(758\) | 42.1925 | 1.53250 | ||||||||
\(759\) | 14.9715 | + | 36.5871i | 0.543433 | + | 1.32803i | ||||
\(760\) | −1.62040 | −0.0587780 | ||||||||
\(761\) | 17.9461 | − | 27.9247i | 0.650545 | − | 1.01227i | −0.346691 | − | 0.937979i | \(-0.612695\pi\) |
0.997237 | − | 0.0742892i | \(-0.0236688\pi\) | |||||||
\(762\) | 1.56697 | − | 0.943799i | 0.0567652 | − | 0.0341902i | ||||
\(763\) | −1.61695 | − | 3.54063i | −0.0585376 | − | 0.128180i | ||||
\(764\) | −7.73114 | − | 2.27007i | −0.279703 | − | 0.0821282i | ||||
\(765\) | 21.2669 | + | 54.7928i | 0.768905 | + | 1.98104i | ||||
\(766\) | −13.9046 | − | 12.0484i | −0.502393 | − | 0.435326i | ||||
\(767\) | 0.878050 | + | 0.126245i | 0.0317046 | + | 0.00455843i | ||||
\(768\) | −23.6532 | + | 19.3205i | −0.853513 | + | 0.697170i | ||||
\(769\) | −19.7547 | + | 17.1175i | −0.712373 | + | 0.617275i | −0.933755 | − | 0.357913i | \(-0.883489\pi\) |
0.221382 | + | 0.975187i | \(0.428943\pi\) | |||||||
\(770\) | −28.4052 | + | 18.2549i | −1.02365 | + | 0.657863i | ||||
\(771\) | 9.58308 | + | 6.56009i | 0.345126 | + | 0.236256i | ||||
\(772\) | 6.96703 | + | 8.04038i | 0.250749 | + | 0.289379i | ||||
\(773\) | 6.82712 | − | 2.00462i | 0.245554 | − | 0.0721013i | −0.156639 | − | 0.987656i | \(-0.550066\pi\) |
0.402194 | + | 0.915555i | \(0.368248\pi\) | |||||||
\(774\) | −9.32533 | − | 12.1195i | −0.335192 | − | 0.435625i | ||||
\(775\) | −39.4197 | + | 45.4928i | −1.41600 | + | 1.63415i | ||||
\(776\) | −0.870803 | + | 1.90679i | −0.0312600 | + | 0.0684499i | ||||
\(777\) | −17.2284 | + | 1.96765i | −0.618064 | + | 0.0705890i | ||||
\(778\) | 40.2052 | − | 18.3611i | 1.44143 | − | 0.658277i | ||||
\(779\) | 0.0927566 | + | 0.645136i | 0.00332335 | + | 0.0231144i | ||||
\(780\) | 0.963662 | + | 0.167287i | 0.0345046 | + | 0.00598984i | ||||
\(781\) | − | 11.6488i | − | 0.416827i | ||||||
\(782\) | −7.88371 | + | 50.8878i | −0.281921 | + | 1.81974i | ||||
\(783\) | 44.5399 | + | 17.4214i | 1.59173 | + | 0.622591i | ||||
\(784\) | 3.54224 | + | 2.27646i | 0.126508 | + | 0.0813020i | ||||
\(785\) | 33.5574 | − | 4.82483i | 1.19772 | − | 0.172206i | ||||
\(786\) | 47.0457 | + | 43.2234i | 1.67806 | + | 1.54173i | ||||
\(787\) | 3.64987 | − | 12.4303i | 0.130104 | − | 0.443093i | −0.868513 | − | 0.495666i | \(-0.834924\pi\) |
0.998617 | + | 0.0525731i | \(0.0167423\pi\) | |||||||
\(788\) | −11.0480 | − | 5.04543i | −0.393567 | − | 0.179736i | ||||
\(789\) | −12.6236 | + | 38.7825i | −0.449412 | + | 1.38069i | ||||
\(790\) | 0.140968 | − | 0.980451i | 0.00501540 | − | 0.0348829i | ||||
\(791\) | −3.15215 | − | 10.7353i | −0.112078 | − | 0.381702i | ||||
\(792\) | 0.182572 | − | 3.13532i | 0.00648742 | − | 0.111409i | ||||
\(793\) | −0.127214 | − | 0.197948i | −0.00451749 | − | 0.00702935i | ||||
\(794\) | −2.52970 | − | 3.93628i | −0.0897755 | − | 0.139693i | ||||
\(795\) | −54.4247 | − | 26.7941i | −1.93024 | − | 0.950290i | ||||
\(796\) | 9.23508 | + | 31.4518i | 0.327329 | + | 1.11478i | ||||
\(797\) | −2.96149 | + | 20.5976i | −0.104901 | + | 0.729604i | 0.867694 | + | 0.497099i | \(0.165601\pi\) |
−0.972595 | + | 0.232505i | \(0.925308\pi\) | |||||||
\(798\) | 6.64917 | + | 2.16429i | 0.235378 | + | 0.0766149i | ||||
\(799\) | 27.3717 | + | 12.5002i | 0.968340 | + | 0.442226i | ||||
\(800\) | −17.6019 | + | 59.9466i | −0.622322 | + | 2.11943i | ||||
\(801\) | −3.92493 | − | 1.40504i | −0.138681 | − | 0.0496446i | ||||
\(802\) | 69.4905 | − | 9.99123i | 2.45380 | − | 0.352803i | ||||
\(803\) | 1.16646 | + | 0.749637i | 0.0411634 | + | 0.0264541i | ||||
\(804\) | 9.42133 | + | 22.3261i | 0.332265 | + | 0.787380i | ||||
\(805\) | 2.64176 | − | 17.0520i | 0.0931097 | − | 0.601004i | ||||
\(806\) | − | 1.24157i | − | 0.0437323i | ||||||
\(807\) | 4.03173 | − | 23.2249i | 0.141923 | − | 0.817555i | ||||
\(808\) | −0.0183268 | − | 0.127466i | −0.000644735 | − | 0.00448423i | ||||
\(809\) | −40.4803 | + | 18.4867i | −1.42321 | + | 0.649959i | −0.970368 | − | 0.241631i | \(-0.922318\pi\) |
−0.452843 | + | 0.891590i | \(0.649590\pi\) | |||||||
\(810\) | −61.7227 | − | 16.3621i | −2.16871 | − | 0.574904i | ||||
\(811\) | −8.54142 | + | 18.7031i | −0.299930 | + | 0.656755i | −0.998257 | − | 0.0590245i | \(-0.981201\pi\) |
0.698327 | + | 0.715779i | \(0.253928\pi\) | |||||||
\(812\) | −11.3824 | + | 13.1360i | −0.399444 | + | 0.460983i | ||||
\(813\) | −7.06099 | − | 26.9200i | −0.247640 | − | 0.944126i | ||||
\(814\) | −90.1466 | + | 26.4694i | −3.15964 | + | 0.927753i | ||||
\(815\) | 32.4114 | + | 37.4047i | 1.13532 | + | 1.31023i | ||||
\(816\) | 22.4324 | − | 32.7695i | 0.785289 | − | 1.14716i | ||||
\(817\) | −4.45211 | + | 2.86120i | −0.155760 | + | 0.100101i | ||||
\(818\) | −38.7735 | + | 33.5974i | −1.35568 | + | 1.17471i | ||||
\(819\) | 0.220390 | + | 0.116582i | 0.00770104 | + | 0.00407372i | ||||
\(820\) | 2.14107 | + | 0.307840i | 0.0747695 | + | 0.0107502i | ||||
\(821\) | −9.72401 | − | 8.42590i | −0.339370 | − | 0.294066i | 0.468456 | − | 0.883487i | \(-0.344811\pi\) |
−0.807826 | + | 0.589421i | \(0.799356\pi\) | |||||||
\(822\) | 1.08777 | + | 0.0316440i | 0.0379403 | + | 0.00110371i | ||||
\(823\) | −9.33000 | − | 2.73954i | −0.325223 | − | 0.0954942i | 0.115045 | − | 0.993360i | \(-0.463299\pi\) |
−0.440269 | + | 0.897866i | \(0.645117\pi\) | |||||||
\(824\) | −1.24117 | − | 2.71777i | −0.0432381 | − | 0.0946782i | ||||
\(825\) | −33.7923 | − | 56.1046i | −1.17650 | − | 1.95331i | ||||
\(826\) | 11.3793 | − | 17.7065i | 0.395935 | − | 0.616087i | ||||
\(827\) | −14.9167 | −0.518704 | −0.259352 | − | 0.965783i | \(-0.583509\pi\) | ||||
−0.259352 | + | 0.965783i | \(0.583509\pi\) | |||||||
\(828\) | −19.2569 | − | 19.1672i | −0.669222 | − | 0.666107i | ||||
\(829\) | −39.3208 | −1.36567 | −0.682833 | − | 0.730574i | \(-0.739252\pi\) | ||||
−0.682833 | + | 0.730574i | \(0.739252\pi\) | |||||||
\(830\) | −3.65710 | + | 5.69056i | −0.126940 | + | 0.197522i | ||||
\(831\) | 1.06085 | + | 1.76130i | 0.0368005 | + | 0.0610990i | ||||
\(832\) | −0.244574 | − | 0.535542i | −0.00847907 | − | 0.0185666i | ||||
\(833\) | −5.22460 | − | 1.53408i | −0.181022 | − | 0.0531528i | ||||
\(834\) | −61.9906 | − | 1.80335i | −2.14656 | − | 0.0624450i | ||||
\(835\) | 1.52196 | + | 1.31879i | 0.0526697 | + | 0.0456385i | ||||
\(836\) | 18.2125 | + | 2.61856i | 0.629892 | + | 0.0905649i | ||||
\(837\) | −3.43021 | + | 39.2160i | −0.118565 | + | 1.35550i | ||||
\(838\) | 7.22803 | − | 6.26312i | 0.249688 | − | 0.216356i | ||||
\(839\) | −5.21538 | + | 3.35172i | −0.180055 | + | 0.115714i | −0.627564 | − | 0.778565i | \(-0.715948\pi\) |
0.447509 | + | 0.894280i | \(0.352311\pi\) | |||||||
\(840\) | −0.774369 | + | 1.13121i | −0.0267183 | + | 0.0390305i | ||||
\(841\) | 36.4857 | + | 42.1068i | 1.25813 | + | 1.45196i | ||||
\(842\) | −16.2309 | + | 4.76584i | −0.559355 | + | 0.164242i | ||||
\(843\) | 2.91827 | + | 11.1259i | 0.100511 | + | 0.383196i | ||||
\(844\) | 19.8018 | − | 22.8525i | 0.681606 | − | 0.786615i | ||||
\(845\) | −19.4203 | + | 42.5246i | −0.668079 | + | 1.46289i | ||||
\(846\) | −28.4827 | + | 16.0457i | −0.979255 | + | 0.551662i | ||||
\(847\) | −10.5961 | + | 4.83907i | −0.364085 | + | 0.166272i | ||||
\(848\) | 5.83312 | + | 40.5702i | 0.200310 | + | 1.39319i | ||||
\(849\) | 7.83915 | − | 45.1577i | 0.269039 | − | 1.54981i | ||||
\(850\) | − | 85.3155i | − | 2.92630i | ||||||
\(851\) | 20.4204 | − | 43.4544i | 0.700002 | − | 1.48960i | ||||
\(852\) | 3.11271 | + | 7.37630i | 0.106640 | + | 0.252708i | ||||
\(853\) | 6.17100 | + | 3.96586i | 0.211291 | + | 0.135788i | 0.642006 | − | 0.766699i | \(-0.278102\pi\) |
−0.430715 | + | 0.902488i | \(0.641739\pi\) | |||||||
\(854\) | −5.52618 | + | 0.794544i | −0.189102 | + | 0.0271887i | ||||
\(855\) | −7.44804 | + | 20.8059i | −0.254718 | + | 0.711546i | ||||
\(856\) | 1.16821 | − | 3.97855i | 0.0399285 | − | 0.135984i | ||||
\(857\) | −11.0111 | − | 5.02858i | −0.376130 | − | 0.171773i | 0.218374 | − | 0.975865i | \(-0.429925\pi\) |
−0.594505 | + | 0.804092i | \(0.702652\pi\) | |||||||
\(858\) | 1.28454 | + | 0.418115i | 0.0438536 | + | 0.0142742i | ||||
\(859\) | −3.51753 | + | 24.4650i | −0.120017 | + | 0.834733i | 0.837517 | + | 0.546411i | \(0.184006\pi\) |
−0.957533 | + | 0.288322i | \(0.906903\pi\) | |||||||
\(860\) | 4.94830 | + | 16.8524i | 0.168736 | + | 0.574661i | ||||
\(861\) | 0.494701 | + | 0.243549i | 0.0168594 | + | 0.00830013i | ||||
\(862\) | 6.23091 | + | 9.69549i | 0.212226 | + | 0.330230i | ||||
\(863\) | −16.6162 | − | 25.8553i | −0.565622 | − | 0.880125i | 0.434164 | − | 0.900834i | \(-0.357044\pi\) |
−0.999786 | + | 0.0207092i | \(0.993408\pi\) | |||||||
\(864\) | 13.6699 | + | 38.5033i | 0.465061 | + | 1.30991i | ||||
\(865\) | 5.78837 | + | 19.7134i | 0.196810 | + | 0.670275i | ||||
\(866\) | −2.90599 | + | 20.2116i | −0.0987496 | + | 0.686819i | ||||
\(867\) | −6.78154 | + | 20.8344i | −0.230313 | + | 0.707572i | ||||
\(868\) | −13.0139 | − | 5.94324i | −0.441720 | − | 0.201727i | ||||
\(869\) | 0.187188 | − | 0.637505i | 0.00634993 | − | 0.0216259i | ||||
\(870\) | −83.2909 | − | 76.5239i | −2.82383 | − | 2.59440i | ||||
\(871\) | 0.609447 | − | 0.0876252i | 0.0206503 | − | 0.00296907i | ||||
\(872\) | −0.720305 | − | 0.462912i | −0.0243926 | − | 0.0156762i | ||||
\(873\) | 20.4806 | + | 19.9455i | 0.693163 | + | 0.675054i | ||||
\(874\) | −14.7698 | + | 12.5188i | −0.499595 | + | 0.423454i | ||||
\(875\) | 10.5984i | 0.358290i | ||||||||
\(876\) | −0.938941 | − | 0.162996i | −0.0317239 | − | 0.00550711i | ||||
\(877\) | −3.63234 | − | 25.2635i | −0.122656 | − | 0.853088i | −0.954528 | − | 0.298121i | \(-0.903640\pi\) |
0.831873 | − | 0.554967i | \(-0.187269\pi\) | |||||||
\(878\) | −22.6861 | + | 10.3604i | −0.765617 | + | 0.349646i | ||||
\(879\) | −2.64812 | + | 0.302441i | −0.0893188 | + | 0.0102011i | ||||
\(880\) | −29.9514 | + | 65.5843i | −1.00966 | + | 2.21085i | ||||
\(881\) | 30.2033 | − | 34.8565i | 1.01758 | − | 1.17434i | 0.0329872 | − | 0.999456i | \(-0.489498\pi\) |
0.984588 | − | 0.174889i | \(-0.0559566\pi\) | |||||||
\(882\) | 4.68846 | − | 3.60754i | 0.157869 | − | 0.121472i | ||||
\(883\) | 41.1043 | − | 12.0693i | 1.38327 | − | 0.406165i | 0.496364 | − | 0.868114i | \(-0.334668\pi\) |
0.886906 | + | 0.461949i | \(0.152850\pi\) | |||||||
\(884\) | 0.559642 | + | 0.645861i | 0.0188228 | + | 0.0217227i | ||||
\(885\) | 54.8892 | + | 37.5744i | 1.84508 | + | 1.26305i | ||||
\(886\) | 15.2934 | − | 9.82850i | 0.513793 | − | 0.330195i | ||||
\(887\) | 15.0427 | − | 13.0345i | 0.505083 | − | 0.437657i | −0.364675 | − | 0.931135i | \(-0.618820\pi\) |
0.869758 | + | 0.493478i | \(0.164275\pi\) | |||||||
\(888\) | −2.95419 | + | 2.41305i | −0.0991360 | + | 0.0809767i | ||||
\(889\) | −0.530128 | − | 0.0762208i | −0.0177799 | − | 0.00255636i | ||||
\(890\) | 7.45112 | + | 6.45643i | 0.249762 | + | 0.216420i | ||||
\(891\) | −39.4183 | − | 16.7555i | −1.32056 | − | 0.561331i | ||||
\(892\) | 32.0455 | + | 9.40941i | 1.07296 | + | 0.315050i | ||||
\(893\) | 4.69994 | + | 10.2914i | 0.157278 | + | 0.344390i | ||||
\(894\) | −61.2615 | + | 36.8984i | −2.04889 | + | 1.23407i | ||||
\(895\) | −1.90638 | + | 2.96639i | −0.0637234 | + | 0.0991556i | ||||
\(896\) | 1.75707 | 0.0586994 | ||||||||
\(897\) | −0.595215 | + | 0.349718i | −0.0198737 | + | 0.0116768i | ||||
\(898\) | 26.1335 | 0.872085 | ||||||||
\(899\) | −37.6987 | + | 58.6603i | −1.25732 | + | 1.95643i | ||||
\(900\) | 36.3899 | + | 26.4970i | 1.21300 | + | 0.883233i | ||||
\(901\) | −22.0188 | − | 48.2145i | −0.733553 | − | 1.60626i | ||||
\(902\) | 2.86656 | + | 0.841697i | 0.0954459 | + | 0.0280254i | ||||
\(903\) | −0.130192 | + | 4.47538i | −0.00433252 | + | 0.148931i | ||||
\(904\) | −1.86004 | − | 1.61173i | −0.0618640 | − | 0.0536055i | ||||
\(905\) | 16.0417 | + | 2.30645i | 0.533245 | + | 0.0766691i | ||||
\(906\) | 34.8931 | + | 42.7180i | 1.15925 | + | 1.41921i | ||||
\(907\) | 29.6455 | − | 25.6880i | 0.984362 | − | 0.852955i | −0.00476913 | − | 0.999989i | \(-0.501518\pi\) |
0.989131 | + | 0.147034i | \(0.0469726\pi\) | |||||||
\(908\) | 25.4005 | − | 16.3239i | 0.842944 | − | 0.541727i | ||||
\(909\) | −1.72090 | − | 0.350572i | −0.0570785 | − | 0.0116277i | ||||
\(910\) | −0.386139 | − | 0.445628i | −0.0128004 | − | 0.0147724i | ||||
\(911\) | −33.9139 | + | 9.95802i | −1.12362 | + | 0.329924i | −0.790196 | − | 0.612854i | \(-0.790021\pi\) |
−0.333421 | + | 0.942778i | \(0.608203\pi\) | |||||||
\(912\) | 14.4427 | − | 3.78826i | 0.478247 | − | 0.125442i | ||||
\(913\) | −2.97132 | + | 3.42909i | −0.0983364 | + | 0.113486i | ||||
\(914\) | −0.923415 | + | 2.02200i | −0.0305438 | + | 0.0668817i | ||||
\(915\) | −2.00213 | − | 17.5302i | −0.0661883 | − | 0.579532i | ||||
\(916\) | 37.0388 | − | 16.9151i | 1.22380 | − | 0.558890i | ||||
\(917\) | −2.66204 | − | 18.5149i | −0.0879083 | − | 0.611416i | ||||
\(918\) | −32.7236 | − | 45.1890i | −1.08004 | − | 1.49146i | ||||
\(919\) | − | 24.3059i | − | 0.801777i | −0.916127 | − | 0.400889i | \(-0.868701\pi\) | ||
0.916127 | − | 0.400889i | \(-0.131299\pi\) | |||||||
\(920\) | −1.53908 | − | 3.46974i | −0.0507421 | − | 0.114394i | ||||
\(921\) | −53.0547 | + | 22.3884i | −1.74821 | + | 0.737724i | ||||
\(922\) | 34.0457 | + | 21.8799i | 1.12124 | + | 0.720575i | ||||
\(923\) | 0.201355 | − | 0.0289504i | 0.00662767 | − | 0.000952915i | ||||
\(924\) | 10.5316 | − | 11.4629i | 0.346464 | − | 0.377101i | ||||
\(925\) | −22.4111 | + | 76.3251i | −0.736871 | + | 2.50955i | ||||
\(926\) | −5.01120 | − | 2.28854i | −0.164678 | − | 0.0752061i | ||||
\(927\) | −40.6011 | + | 3.44449i | −1.33351 | + | 0.113132i | ||||
\(928\) | −10.2997 | + | 71.6362i | −0.338105 | + | 2.35157i | ||||
\(929\) | −11.9782 | − | 40.7941i | −0.392993 | − | 1.33841i | −0.884095 | − | 0.467308i | \(-0.845224\pi\) |
0.491102 | − | 0.871102i | \(-0.336594\pi\) | |||||||
\(930\) | 41.1211 | − | 83.5258i | 1.34841 | − | 2.73892i | ||||
\(931\) | −1.10687 | − | 1.72232i | −0.0362761 | − | 0.0564466i | ||||
\(932\) | −12.0126 | − | 18.6919i | −0.393484 | − | 0.612274i | ||||
\(933\) | 0.608095 | − | 1.23517i | 0.0199081 | − | 0.0404377i | ||||
\(934\) | −8.27231 | − | 28.1729i | −0.270678 | − | 0.921846i | ||||
\(935\) | 13.2692 | − | 92.2895i | 0.433950 | − | 3.01819i | ||||
\(936\) | 0.0546491 | − | 0.00463628i | 0.00178626 | − | 0.000151542i | ||||
\(937\) | 36.2181 | + | 16.5402i | 1.18319 | + | 0.540346i | 0.907154 | − | 0.420800i | \(-0.138251\pi\) |
0.276040 | + | 0.961146i | \(0.410978\pi\) | |||||||
\(938\) | 4.11584 | − | 14.0173i | 0.134387 | − | 0.457680i | ||||
\(939\) | 3.78713 | − | 4.12203i | 0.123588 | − | 0.134517i | ||||
\(940\) | 37.1661 | − | 5.34368i | 1.21222 | − | 0.174292i | ||||
\(941\) | −16.1701 | − | 10.3919i | −0.527131 | − | 0.338766i | 0.249856 | − | 0.968283i | \(-0.419617\pi\) |
−0.776987 | + | 0.629517i | \(0.783253\pi\) | |||||||
\(942\) | −29.6506 | + | 12.5122i | −0.966067 | + | 0.407669i | ||||
\(943\) | −1.29332 | + | 0.811381i | −0.0421163 | + | 0.0264222i | ||||
\(944\) | − | 44.9436i | − | 1.46279i | ||||||
\(945\) | 10.9654 | + | 15.1424i | 0.356704 | + | 0.492583i | ||||
\(946\) | 3.45234 | + | 24.0115i | 0.112245 | + | 0.780683i | ||||
\(947\) | 12.4926 | − | 5.70516i | 0.405953 | − | 0.185393i | −0.201964 | − | 0.979393i | \(-0.564732\pi\) |
0.607917 | + | 0.794000i | \(0.292005\pi\) | |||||||
\(948\) | 0.0518172 | + | 0.453702i | 0.00168295 | + | 0.0147356i | ||||
\(949\) | −0.0100588 | + | 0.0220258i | −0.000326524 | + | 0.000714987i | ||||
\(950\) | 21.0064 | − | 24.2426i | 0.681537 | − | 0.786535i | ||||
\(951\) | 22.9556 | − | 6.02115i | 0.744387 | − | 0.195249i | ||||
\(952\) | −1.14928 | + | 0.337460i | −0.0372485 | + | 0.0109372i | ||||
\(953\) | 1.60890 | + | 1.85676i | 0.0521172 | + | 0.0601465i | 0.781210 | − | 0.624269i | \(-0.214603\pi\) |
−0.729092 | + | 0.684415i | \(0.760058\pi\) | |||||||
\(954\) | 56.4261 | + | 11.4948i | 1.82686 | + | 0.372158i | ||||
\(955\) | −12.9147 | + | 8.29980i | −0.417911 | + | 0.268575i | ||||
\(956\) | 38.3131 | − | 33.1985i | 1.23913 | − | 1.07372i | ||||
\(957\) | −47.9952 | − | 58.7583i | −1.55147 | − | 1.89939i | ||||
\(958\) | −50.7833 | − | 7.30154i | −1.64073 | − | 0.235902i | ||||
\(959\) | −0.240796 | − | 0.208651i | −0.00777571 | − | 0.00673769i | ||||
\(960\) | 1.28374 | − | 44.1287i | 0.0414324 | − | 1.42425i | ||||
\(961\) | −25.3257 | − | 7.43630i | −0.816959 | − | 0.239881i | ||||
\(962\) | −0.681574 | − | 1.49244i | −0.0219748 | − | 0.0481182i | ||||
\(963\) | −45.7149 | − | 33.2868i | −1.47314 | − | 1.07265i | ||||
\(964\) | −0.759585 | + | 1.18194i | −0.0244646 | + | 0.0380676i | ||||
\(965\) | 20.2701 | 0.652517 | ||||||||
\(966\) | 1.68114 | + | 16.2935i | 0.0540898 | + | 0.524233i | ||||
\(967\) | 9.17279 | 0.294977 | 0.147489 | − | 0.989064i | \(-0.452881\pi\) | ||||
0.147489 | + | 0.989064i | \(0.452881\pi\) | |||||||
\(968\) | −1.38536 | + | 2.15566i | −0.0445271 | + | 0.0692855i | ||||
\(969\) | −16.5404 | + | 9.96244i | −0.531354 | + | 0.320040i | ||||
\(970\) | −28.0864 | − | 61.5006i | −0.901799 | − | 1.97466i | ||||
\(971\) | −42.3531 | − | 12.4360i | −1.35917 | − | 0.399090i | −0.480702 | − | 0.876884i | \(-0.659618\pi\) |
−0.878472 | + | 0.477794i | \(0.841436\pi\) | |||||||
\(972\) | 29.4379 | + | 0.0769207i | 0.944220 | + | 0.00246723i | ||||
\(973\) | 13.7227 | + | 11.8908i | 0.439929 | + | 0.381200i | ||||
\(974\) | 45.9808 | + | 6.61104i | 1.47332 | + | 0.211831i | ||||
\(975\) | 0.885808 | − | 0.723550i | 0.0283686 | − | 0.0231721i | ||||
\(976\) | −9.00966 | + | 7.80691i | −0.288392 | + | 0.249893i | ||||
\(977\) | −16.0856 | + | 10.3376i | −0.514624 | + | 0.330729i | −0.772042 | − | 0.635571i | \(-0.780765\pi\) |
0.257418 | + | 0.966300i | \(0.417128\pi\) | |||||||
\(978\) | −38.7688 | − | 26.5392i | −1.23969 | − | 0.848630i | ||||
\(979\) | 4.33077 | + | 4.99797i | 0.138412 | + | 0.159736i | ||||
\(980\) | −6.51940 | + | 1.91427i | −0.208255 | + | 0.0611491i | ||||
\(981\) | −9.25460 | + | 7.12095i | −0.295477 | + | 0.227355i | ||||
\(982\) | −30.9558 | + | 35.7249i | −0.987841 | + | 1.14003i | ||||
\(983\) | 18.8900 | − | 41.3633i | 0.602497 | − | 1.31929i | −0.325091 | − | 0.945683i | \(-0.605395\pi\) |
0.927589 | − | 0.373603i | \(-0.121878\pi\) | |||||||
\(984\) | 0.120512 | − | 0.0137636i | 0.00384177 | − | 0.000438768i | ||||
\(985\) | −21.0494 | + | 9.61292i | −0.670688 | + | 0.306293i | ||||
\(986\) | −14.0647 | − | 97.8222i | −0.447911 | − | 3.11529i | ||||
\(987\) | 9.43056 | + | 1.63710i | 0.300178 | + | 0.0521095i | ||||
\(988\) | 0.321319i | 0.0102225i | ||||||||
\(989\) | −10.3553 | − | 6.81563i | −0.329281 | − | 0.216724i | ||||
\(990\) | 72.5689 | + | 70.6730i | 2.30639 | + | 2.24613i | ||||
\(991\) | −37.8486 | − | 24.3238i | −1.20230 | − | 0.772672i | −0.222948 | − | 0.974830i | \(-0.571568\pi\) |
−0.979353 | + | 0.202158i | \(0.935204\pi\) | |||||||
\(992\) | −58.9642 | + | 8.47777i | −1.87211 | + | 0.269169i | ||||
\(993\) | −29.4879 | − | 27.0922i | −0.935771 | − | 0.859744i | ||||
\(994\) | 1.35983 | − | 4.63116i | 0.0431312 | − | 0.146891i | ||||
\(995\) | 56.8102 | + | 25.9444i | 1.80101 | + | 0.822491i | ||||
\(996\) | 0.965215 | − | 2.96535i | 0.0305840 | − | 0.0939607i | ||||
\(997\) | 1.30617 | − | 9.08462i | 0.0413668 | − | 0.287713i | −0.958628 | − | 0.284660i | \(-0.908119\pi\) |
0.999995 | − | 0.00305256i | \(-0.000971660\pi\) | |||||||
\(998\) | 14.4100 | + | 49.0761i | 0.456142 | + | 1.55348i | ||||
\(999\) | 17.4048 | + | 49.0231i | 0.550664 | + | 1.55102i |
(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 | 483.2.u.a.113.11 | ✓ | 480 | |
3.2 | odd | 2 | inner | 483.2.u.a.113.38 | yes | 480 | |
23.11 | odd | 22 | inner | 483.2.u.a.218.38 | yes | 480 | |
69.11 | even | 22 | inner | 483.2.u.a.218.11 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.u.a.113.11 | ✓ | 480 | 1.1 | even | 1 | trivial | |
483.2.u.a.113.38 | yes | 480 | 3.2 | odd | 2 | inner | |
483.2.u.a.218.11 | yes | 480 | 69.11 | even | 22 | inner | |
483.2.u.a.218.38 | yes | 480 | 23.11 | odd | 22 | inner |