Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), degree \(8\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.8 | ||
Character | \(\chi\) | \(=\) | 224.37 |
Dual form | 224.2.bd.a.109.8 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.940911 | + | 1.05579i | −0.665325 | + | 0.746554i | ||||
\(3\) | −1.04486 | + | 1.36169i | −0.603251 | + | 0.786172i | −0.990750 | − | 0.135698i | \(-0.956672\pi\) |
0.387499 | + | 0.921870i | \(0.373339\pi\) | |||||||
\(4\) | −0.229373 | − | 1.98680i | −0.114686 | − | 0.993402i | ||||
\(5\) | 1.80014 | − | 1.38129i | 0.805046 | − | 0.617733i | −0.122064 | − | 0.992522i | \(-0.538951\pi\) |
0.927110 | + | 0.374789i | \(0.122285\pi\) | |||||||
\(6\) | −0.454533 | − | 2.38438i | −0.185562 | − | 0.973420i | ||||
\(7\) | 2.29881 | + | 1.30976i | 0.868869 | + | 0.495042i | ||||
\(8\) | 2.31346 | + | 1.62724i | 0.817932 | + | 0.575315i | ||||
\(9\) | 0.0139922 | + | 0.0522197i | 0.00466408 | + | 0.0174066i | ||||
\(10\) | −0.235417 | + | 3.20024i | −0.0744453 | + | 1.01200i | ||||
\(11\) | −0.940800 | + | 0.123859i | −0.283662 | + | 0.0373448i | −0.271015 | − | 0.962575i | \(-0.587359\pi\) |
−0.0126472 | + | 0.999920i | \(0.504026\pi\) | |||||||
\(12\) | 2.94507 | + | 1.76360i | 0.850170 | + | 0.509108i | ||||
\(13\) | 2.44244 | − | 1.01169i | 0.677410 | − | 0.280592i | −0.0173337 | − | 0.999850i | \(-0.505518\pi\) |
0.694744 | + | 0.719257i | \(0.255518\pi\) | |||||||
\(14\) | −3.54580 | + | 1.19469i | −0.947656 | + | 0.319294i | ||||
\(15\) | 3.89449i | 1.00555i | ||||||||
\(16\) | −3.89478 | + | 0.911438i | −0.973694 | + | 0.227859i | ||||
\(17\) | 0.0434878 | − | 0.0251077i | 0.0105474 | − | 0.00608952i | −0.494717 | − | 0.869054i | \(-0.664728\pi\) |
0.505264 | + | 0.862965i | \(0.331395\pi\) | |||||||
\(18\) | −0.0682984 | − | 0.0343613i | −0.0160981 | − | 0.00809904i | ||||
\(19\) | −0.771600 | + | 5.86089i | −0.177017 | + | 1.34458i | 0.640182 | + | 0.768224i | \(0.278859\pi\) |
−0.817199 | + | 0.576356i | \(0.804474\pi\) | |||||||
\(20\) | −3.15726 | − | 3.25969i | −0.705985 | − | 0.728888i | ||||
\(21\) | −4.18543 | + | 1.76175i | −0.913335 | + | 0.384446i | ||||
\(22\) | 0.754441 | − | 1.10982i | 0.160847 | − | 0.236615i | ||||
\(23\) | −0.0591965 | − | 0.220924i | −0.0123433 | − | 0.0460659i | 0.959480 | − | 0.281778i | \(-0.0909243\pi\) |
−0.971823 | + | 0.235712i | \(0.924258\pi\) | |||||||
\(24\) | −4.63304 | + | 1.44998i | −0.945715 | + | 0.295976i | ||||
\(25\) | 0.0384260 | − | 0.143408i | 0.00768520 | − | 0.0286816i | ||||
\(26\) | −1.22999 | + | 3.53060i | −0.241220 | + | 0.692408i | ||||
\(27\) | −4.84289 | − | 2.00599i | −0.932015 | − | 0.386053i | ||||
\(28\) | 2.07495 | − | 4.86771i | 0.392128 | − | 0.919911i | ||||
\(29\) | −0.876670 | − | 2.11647i | −0.162793 | − | 0.393018i | 0.821342 | − | 0.570436i | \(-0.193226\pi\) |
−0.984136 | + | 0.177418i | \(0.943226\pi\) | |||||||
\(30\) | −4.11175 | − | 3.66437i | −0.750700 | − | 0.669019i | ||||
\(31\) | 4.67044 | + | 8.08944i | 0.838836 | + | 1.45291i | 0.890868 | + | 0.454262i | \(0.150097\pi\) |
−0.0520321 | + | 0.998645i | \(0.516570\pi\) | |||||||
\(32\) | 2.70235 | − | 4.96964i | 0.477713 | − | 0.878516i | ||||
\(33\) | 0.814349 | − | 1.41049i | 0.141760 | − | 0.245535i | ||||
\(34\) | −0.0144098 | + | 0.0695380i | −0.00247126 | + | 0.0119257i | ||||
\(35\) | 5.94734 | − | 0.817591i | 1.00528 | − | 0.138198i | ||||
\(36\) | 0.100541 | − | 0.0397776i | 0.0167568 | − | 0.00662960i | ||||
\(37\) | 4.71785 | − | 3.62013i | 0.775609 | − | 0.595146i | −0.143270 | − | 0.989684i | \(-0.545762\pi\) |
0.918880 | + | 0.394538i | \(0.129095\pi\) | |||||||
\(38\) | −5.46184 | − | 6.32922i | −0.886027 | − | 1.02673i | ||||
\(39\) | −1.17440 | + | 4.38292i | −0.188054 | + | 0.701829i | ||||
\(40\) | 6.41224 | − | 0.266321i | 1.01386 | − | 0.0421090i | ||||
\(41\) | 1.81397 | − | 1.81397i | 0.283295 | − | 0.283295i | −0.551127 | − | 0.834422i | \(-0.685802\pi\) |
0.834422 | + | 0.551127i | \(0.185802\pi\) | |||||||
\(42\) | 2.07808 | − | 6.07657i | 0.320654 | − | 0.937636i | ||||
\(43\) | 3.88053 | − | 9.36842i | 0.591775 | − | 1.42867i | −0.290012 | − | 0.957023i | \(-0.593659\pi\) |
0.881787 | − | 0.471648i | \(-0.156341\pi\) | |||||||
\(44\) | 0.461877 | + | 1.84078i | 0.0696306 | + | 0.277507i | ||||
\(45\) | 0.0973188 | + | 0.0746753i | 0.0145074 | + | 0.0111319i | ||||
\(46\) | 0.288948 | + | 0.145371i | 0.0426030 | + | 0.0214338i | ||||
\(47\) | 5.15262 | + | 2.97487i | 0.751587 | + | 0.433929i | 0.826267 | − | 0.563279i | \(-0.190460\pi\) |
−0.0746801 | + | 0.997208i | \(0.523794\pi\) | |||||||
\(48\) | 2.82841 | − | 6.25581i | 0.408245 | − | 0.902948i | ||||
\(49\) | 3.56907 | + | 6.02177i | 0.509867 | + | 0.860253i | ||||
\(50\) | 0.115253 | + | 0.175504i | 0.0162992 | + | 0.0248200i | ||||
\(51\) | −0.0112499 | + | 0.0854511i | −0.00157529 | + | 0.0119655i | ||||
\(52\) | −2.57026 | − | 4.62059i | −0.356431 | − | 0.640760i | ||||
\(53\) | −12.4313 | + | 1.63662i | −1.70758 | + | 0.224807i | −0.920140 | − | 0.391589i | \(-0.871926\pi\) |
−0.787437 | + | 0.616396i | \(0.788592\pi\) | |||||||
\(54\) | 6.67463 | − | 3.22560i | 0.908303 | − | 0.438949i | ||||
\(55\) | −1.52248 | + | 1.52248i | −0.205292 | + | 0.205292i | ||||
\(56\) | 3.18693 | + | 6.77078i | 0.425871 | + | 0.904784i | ||||
\(57\) | −7.17450 | − | 7.17450i | −0.950285 | − | 0.950285i | ||||
\(58\) | 3.05941 | + | 1.06583i | 0.401720 | + | 0.139951i | ||||
\(59\) | −1.13971 | − | 8.65692i | −0.148377 | − | 1.12704i | −0.889916 | − | 0.456125i | \(-0.849237\pi\) |
0.741539 | − | 0.670910i | \(-0.234096\pi\) | |||||||
\(60\) | 7.73759 | − | 0.893291i | 0.998918 | − | 0.115323i | ||||
\(61\) | −1.78778 | − | 0.235366i | −0.228902 | − | 0.0301355i | 0.0152027 | − | 0.999884i | \(-0.495161\pi\) |
−0.244104 | + | 0.969749i | \(0.578494\pi\) | |||||||
\(62\) | −12.9352 | − | 2.68045i | −1.64277 | − | 0.340418i | ||||
\(63\) | −0.0362297 | + | 0.138370i | −0.00456451 | + | 0.0174330i | ||||
\(64\) | 2.70420 | + | 7.52910i | 0.338025 | + | 0.941137i | ||||
\(65\) | 2.99928 | − | 5.19490i | 0.372015 | − | 0.644349i | ||||
\(66\) | 0.722951 | + | 2.18693i | 0.0889892 | + | 0.269192i | ||||
\(67\) | 4.75222 | − | 6.19321i | 0.580576 | − | 0.756621i | −0.407058 | − | 0.913403i | \(-0.633445\pi\) |
0.987633 | + | 0.156781i | \(0.0501118\pi\) | |||||||
\(68\) | −0.0598590 | − | 0.0806428i | −0.00725898 | − | 0.00977937i | ||||
\(69\) | 0.362683 | + | 0.150228i | 0.0436619 | + | 0.0180853i | ||||
\(70\) | −4.73271 | + | 7.04840i | −0.565667 | + | 0.842445i | ||||
\(71\) | −7.65167 | − | 7.65167i | −0.908086 | − | 0.908086i | 0.0880320 | − | 0.996118i | \(-0.471942\pi\) |
−0.996118 | + | 0.0880320i | \(0.971942\pi\) | |||||||
\(72\) | −0.0526034 | + | 0.143577i | −0.00619937 | + | 0.0169207i | ||||
\(73\) | 0.769926 | + | 0.206301i | 0.0901130 | + | 0.0241457i | 0.303594 | − | 0.952802i | \(-0.401813\pi\) |
−0.213481 | + | 0.976947i | \(0.568480\pi\) | |||||||
\(74\) | −0.616986 | + | 8.38727i | −0.0717232 | + | 0.975000i | ||||
\(75\) | 0.155127 | + | 0.202166i | 0.0179125 | + | 0.0233441i | ||||
\(76\) | 11.8214 | + | 0.188690i | 1.35601 | + | 0.0216442i | ||||
\(77\) | −2.32495 | − | 0.947492i | −0.264952 | − | 0.107977i | ||||
\(78\) | −3.52242 | − | 5.36385i | −0.398836 | − | 0.607337i | ||||
\(79\) | −10.5808 | − | 6.10885i | −1.19044 | − | 0.687299i | −0.232032 | − | 0.972708i | \(-0.574537\pi\) |
−0.958406 | + | 0.285409i | \(0.907871\pi\) | |||||||
\(80\) | −5.75217 | + | 7.02054i | −0.643112 | + | 0.784921i | ||||
\(81\) | 7.65124 | − | 4.41745i | 0.850138 | − | 0.490827i | ||||
\(82\) | 0.208382 | + | 3.62196i | 0.0230120 | + | 0.399978i | ||||
\(83\) | −13.0219 | + | 5.39387i | −1.42934 | + | 0.592054i | −0.957189 | − | 0.289462i | \(-0.906524\pi\) |
−0.472154 | + | 0.881516i | \(0.656524\pi\) | |||||||
\(84\) | 4.46028 | + | 7.91152i | 0.486657 | + | 0.863218i | ||||
\(85\) | 0.0436030 | − | 0.105267i | 0.00472940 | − | 0.0114178i | ||||
\(86\) | 6.23983 | + | 12.9119i | 0.672858 | + | 1.39232i | ||||
\(87\) | 3.79797 | + | 1.01766i | 0.407185 | + | 0.109105i | ||||
\(88\) | −2.37805 | − | 1.24436i | −0.253501 | − | 0.132649i | ||||
\(89\) | −2.08390 | + | 0.558378i | −0.220892 | + | 0.0591880i | −0.367568 | − | 0.929997i | \(-0.619809\pi\) |
0.146675 | + | 0.989185i | \(0.453143\pi\) | |||||||
\(90\) | −0.170410 | + | 0.0324851i | −0.0179627 | + | 0.00342423i | ||||
\(91\) | 6.93977 | + | 0.873315i | 0.727486 | + | 0.0915482i | ||||
\(92\) | −0.425355 | + | 0.168286i | −0.0443463 | + | 0.0175450i | ||||
\(93\) | −15.8953 | − | 2.09265i | −1.64826 | − | 0.216998i | ||||
\(94\) | −7.98898 | + | 2.64099i | −0.824001 | + | 0.272397i | ||||
\(95\) | 6.70662 | + | 11.6162i | 0.688085 | + | 1.19180i | ||||
\(96\) | 3.94352 | + | 8.87235i | 0.402484 | + | 0.905531i | ||||
\(97\) | 18.1541 | 1.84327 | 0.921633 | − | 0.388063i | \(-0.126856\pi\) | ||||
0.921633 | + | 0.388063i | \(0.126856\pi\) | |||||||
\(98\) | −9.71589 | − | 1.89777i | −0.981453 | − | 0.191704i | ||||
\(99\) | −0.0196318 | − | 0.0473953i | −0.00197307 | − | 0.00476341i | ||||
\(100\) | −0.293737 | − | 0.0434511i | −0.0293737 | − | 0.00434511i | ||||
\(101\) | −0.817611 | − | 6.21037i | −0.0813554 | − | 0.617955i | −0.982748 | − | 0.184952i | \(-0.940787\pi\) |
0.901392 | − | 0.433004i | \(-0.142546\pi\) | |||||||
\(102\) | −0.0796331 | − | 0.0922793i | −0.00788485 | − | 0.00913702i | ||||
\(103\) | −0.407621 | + | 0.109222i | −0.0401641 | + | 0.0107619i | −0.278845 | − | 0.960336i | \(-0.589952\pi\) |
0.238681 | + | 0.971098i | \(0.423285\pi\) | |||||||
\(104\) | 7.29674 | + | 1.63392i | 0.715504 | + | 0.160219i | ||||
\(105\) | −5.10084 | + | 8.95270i | −0.497791 | + | 0.873694i | ||||
\(106\) | 9.96887 | − | 14.6648i | 0.968262 | − | 1.42437i | ||||
\(107\) | −5.19947 | − | 6.77608i | −0.502652 | − | 0.655069i | 0.471260 | − | 0.881994i | \(-0.343799\pi\) |
−0.973912 | + | 0.226926i | \(0.927133\pi\) | |||||||
\(108\) | −2.87468 | + | 10.0820i | −0.276617 | + | 0.970141i | ||||
\(109\) | −5.45362 | − | 4.18471i | −0.522362 | − | 0.400822i | 0.313646 | − | 0.949540i | \(-0.398450\pi\) |
−0.836008 | + | 0.548718i | \(0.815116\pi\) | |||||||
\(110\) | −0.174897 | − | 3.03994i | −0.0166758 | − | 0.289847i | ||||
\(111\) | 10.2068i | 0.968786i | ||||||||
\(112\) | −10.1471 | − | 3.00599i | −0.958813 | − | 0.284039i | ||||
\(113\) | − | 17.1078i | − | 1.60937i | −0.593705 | − | 0.804683i | \(-0.702335\pi\) | ||
0.593705 | − | 0.804683i | \(-0.297665\pi\) | |||||||
\(114\) | 14.3253 | − | 0.824178i | 1.34169 | − | 0.0771914i | ||||
\(115\) | −0.411723 | − | 0.315926i | −0.0383934 | − | 0.0294603i | ||||
\(116\) | −4.00392 | + | 2.22723i | −0.371755 | + | 0.206793i | ||||
\(117\) | 0.0870054 | + | 0.113388i | 0.00804365 | + | 0.0104827i | ||||
\(118\) | 10.2122 | + | 6.94211i | 0.940112 | + | 0.639073i | ||||
\(119\) | 0.132855 | 0.000759378i | 0.0121788 | 6.96120e-5i | ||||||
\(120\) | −6.33726 | + | 9.00975i | −0.578510 | + | 0.822474i | ||||
\(121\) | −9.75542 | + | 2.61396i | −0.886856 | + | 0.237632i | ||||
\(122\) | 1.93064 | − | 1.66606i | 0.174792 | − | 0.150838i | ||||
\(123\) | 0.574719 | + | 4.36542i | 0.0518206 | + | 0.393617i | ||||
\(124\) | 15.0009 | − | 11.1348i | 1.34712 | − | 0.999930i | ||||
\(125\) | 4.21267 | + | 10.1703i | 0.376793 | + | 0.909658i | ||||
\(126\) | −0.112000 | − | 0.168445i | −0.00997777 | − | 0.0150062i | ||||
\(127\) | −3.31241 | −0.293928 | −0.146964 | − | 0.989142i | \(-0.546950\pi\) | ||||
−0.146964 | + | 0.989142i | \(0.546950\pi\) | |||||||
\(128\) | −10.4935 | − | 4.22915i | −0.927506 | − | 0.373807i | ||||
\(129\) | 8.70228 | + | 15.0728i | 0.766193 | + | 1.32708i | ||||
\(130\) | 2.66266 | + | 8.05454i | 0.233531 | + | 0.706430i | ||||
\(131\) | 3.93085 | + | 0.517506i | 0.343440 | + | 0.0452147i | 0.300273 | − | 0.953853i | \(-0.402922\pi\) |
0.0431665 | + | 0.999068i | \(0.486255\pi\) | |||||||
\(132\) | −2.98916 | − | 1.29442i | −0.260173 | − | 0.112665i | ||||
\(133\) | −9.45010 | + | 12.4625i | −0.819428 | + | 1.08063i | ||||
\(134\) | 2.06730 | + | 10.8446i | 0.178587 | + | 0.936830i | ||||
\(135\) | −11.4887 | + | 3.07840i | −0.988793 | + | 0.264946i | ||||
\(136\) | 0.141464 | + | 0.0126793i | 0.0121304 | + | 0.00108724i | ||||
\(137\) | 10.0344 | + | 2.68870i | 0.857294 | + | 0.229711i | 0.660585 | − | 0.750751i | \(-0.270308\pi\) |
0.196708 | + | 0.980462i | \(0.436975\pi\) | |||||||
\(138\) | −0.499861 | + | 0.241565i | −0.0425510 | + | 0.0205633i | ||||
\(139\) | 0.721994 | − | 1.74305i | 0.0612387 | − | 0.147843i | −0.890298 | − | 0.455378i | \(-0.849504\pi\) |
0.951537 | + | 0.307535i | \(0.0995041\pi\) | |||||||
\(140\) | −2.98855 | − | 11.6287i | −0.252579 | − | 0.982801i | ||||
\(141\) | −9.43463 | + | 3.90795i | −0.794539 | + | 0.329109i | ||||
\(142\) | 15.2781 | − | 0.878993i | 1.28211 | − | 0.0737635i | ||||
\(143\) | −2.17254 | + | 1.25432i | −0.181677 | + | 0.104891i | ||||
\(144\) | −0.102092 | − | 0.190631i | −0.00850764 | − | 0.0158859i | ||||
\(145\) | −4.50159 | − | 2.59899i | −0.373837 | − | 0.215835i | ||||
\(146\) | −0.942242 | + | 0.618767i | −0.0779805 | + | 0.0512095i | ||||
\(147\) | −11.9290 | − | 1.43195i | −0.983885 | − | 0.118105i | ||||
\(148\) | −8.27464 | − | 8.54308i | −0.680171 | − | 0.702237i | ||||
\(149\) | 10.5975 | + | 13.8109i | 0.868180 | + | 1.13143i | 0.990304 | + | 0.138920i | \(0.0443630\pi\) |
−0.122123 | + | 0.992515i | \(0.538970\pi\) | |||||||
\(150\) | −0.359405 | − | 0.0264386i | −0.0293453 | − | 0.00215871i | ||||
\(151\) | 0.571811 | + | 0.153216i | 0.0465333 | + | 0.0124686i | 0.282011 | − | 0.959411i | \(-0.408999\pi\) |
−0.235477 | + | 0.971880i | \(0.575665\pi\) | |||||||
\(152\) | −11.3221 | + | 12.3034i | −0.918345 | + | 0.997934i | ||||
\(153\) | 0.00191961 | + | 0.00191961i | 0.000155191 | + | 0.000155191i | ||||
\(154\) | 3.18792 | − | 1.56314i | 0.256890 | − | 0.125962i | ||||
\(155\) | 19.5813 | + | 8.11086i | 1.57281 | + | 0.651480i | ||||
\(156\) | 8.97738 | + | 1.32798i | 0.718765 | + | 0.106323i | ||||
\(157\) | 12.4540 | − | 16.2303i | 0.993935 | − | 1.29532i | 0.0387694 | − | 0.999248i | \(-0.487656\pi\) |
0.955165 | − | 0.296073i | \(-0.0956771\pi\) | |||||||
\(158\) | 16.4053 | − | 5.42323i | 1.30513 | − | 0.431449i | ||||
\(159\) | 10.7605 | − | 18.6377i | 0.853361 | − | 1.47806i | ||||
\(160\) | −1.99992 | − | 12.6788i | −0.158108 | − | 1.00234i | ||||
\(161\) | 0.153276 | − | 0.585396i | 0.0120798 | − | 0.0461357i | ||||
\(162\) | −2.53525 | + | 12.2345i | −0.199188 | + | 0.961233i | ||||
\(163\) | −10.3097 | − | 1.35730i | −0.807521 | − | 0.106312i | −0.284548 | − | 0.958662i | \(-0.591844\pi\) |
−0.522972 | + | 0.852350i | \(0.675177\pi\) | |||||||
\(164\) | −4.02008 | − | 3.18793i | −0.313916 | − | 0.248936i | ||||
\(165\) | −0.482367 | − | 3.66394i | −0.0375522 | − | 0.285237i | ||||
\(166\) | 6.55772 | − | 18.8235i | 0.508977 | − | 1.46099i | ||||
\(167\) | −6.21642 | − | 6.21642i | −0.481041 | − | 0.481041i | 0.424423 | − | 0.905464i | \(-0.360477\pi\) |
−0.905464 | + | 0.424423i | \(0.860477\pi\) | |||||||
\(168\) | −12.5496 | − | 2.73493i | −0.968223 | − | 0.211004i | ||||
\(169\) | −4.25041 | + | 4.25041i | −0.326955 | + | 0.326955i | ||||
\(170\) | 0.0701129 | + | 0.145082i | 0.00537741 | + | 0.0111273i | ||||
\(171\) | −0.316850 | + | 0.0417141i | −0.0242302 | + | 0.00318996i | ||||
\(172\) | −19.5033 | − | 5.56098i | −1.48711 | − | 0.424021i | ||||
\(173\) | −0.778550 | + | 5.91368i | −0.0591921 | + | 0.449609i | 0.936026 | + | 0.351931i | \(0.114475\pi\) |
−0.995218 | + | 0.0976777i | \(0.968859\pi\) | |||||||
\(174\) | −4.64799 | + | 3.05232i | −0.352363 | + | 0.231396i | ||||
\(175\) | 0.276164 | − | 0.279339i | 0.0208760 | − | 0.0211160i | ||||
\(176\) | 3.55132 | − | 1.33988i | 0.267691 | − | 0.100997i | ||||
\(177\) | 12.9789 | + | 7.49336i | 0.975553 | + | 0.563236i | ||||
\(178\) | 1.37123 | − | 2.72553i | 0.102778 | − | 0.204287i | ||||
\(179\) | −10.4355 | − | 8.00741i | −0.779983 | − | 0.598502i | 0.140140 | − | 0.990132i | \(-0.455245\pi\) |
−0.920123 | + | 0.391630i | \(0.871911\pi\) | |||||||
\(180\) | 0.126043 | − | 0.210482i | 0.00939468 | − | 0.0156884i | ||||
\(181\) | −9.30204 | + | 22.4571i | −0.691415 | + | 1.66922i | 0.0504948 | + | 0.998724i | \(0.483920\pi\) |
−0.741910 | + | 0.670500i | \(0.766080\pi\) | |||||||
\(182\) | −7.45174 | + | 6.50521i | −0.552360 | + | 0.482198i | ||||
\(183\) | 2.18848 | − | 2.18848i | 0.161777 | − | 0.161777i | ||||
\(184\) | 0.222547 | − | 0.607427i | 0.0164064 | − | 0.0447801i | ||||
\(185\) | 3.49231 | − | 13.0335i | 0.256760 | − | 0.958240i | ||||
\(186\) | 17.1654 | − | 14.8130i | 1.25863 | − | 1.08614i | ||||
\(187\) | −0.0378036 | + | 0.0290077i | −0.00276447 | + | 0.00212125i | ||||
\(188\) | 4.72860 | − | 10.9196i | 0.344869 | − | 0.796394i | ||||
\(189\) | −8.50554 | − | 10.9544i | −0.618687 | − | 0.796817i | ||||
\(190\) | −18.5746 | − | 3.84905i | −1.34754 | − | 0.279240i | ||||
\(191\) | 12.2545 | − | 21.2254i | 0.886705 | − | 1.53582i | 0.0429586 | − | 0.999077i | \(-0.486322\pi\) |
0.843747 | − | 0.536742i | \(-0.180345\pi\) | |||||||
\(192\) | −13.0778 | − | 4.18458i | −0.943810 | − | 0.301996i | ||||
\(193\) | −7.24339 | − | 12.5459i | −0.521391 | − | 0.903075i | −0.999690 | − | 0.0248786i | \(-0.992080\pi\) |
0.478300 | − | 0.878197i | \(-0.341253\pi\) | |||||||
\(194\) | −17.0814 | + | 19.1668i | −1.22637 | + | 1.37610i | ||||
\(195\) | 3.94002 | + | 9.51205i | 0.282151 | + | 0.681172i | ||||
\(196\) | 11.1454 | − | 8.47227i | 0.796102 | − | 0.605162i | ||||
\(197\) | 24.0632 | + | 9.96730i | 1.71443 | + | 0.710141i | 0.999945 | + | 0.0104922i | \(0.00333983\pi\) |
0.714487 | + | 0.699649i | \(0.246660\pi\) | |||||||
\(198\) | 0.0685111 | + | 0.0238678i | 0.00486887 | + | 0.00169621i | ||||
\(199\) | 3.13222 | − | 11.6896i | 0.222038 | − | 0.828655i | −0.761532 | − | 0.648127i | \(-0.775553\pi\) |
0.983570 | − | 0.180528i | \(-0.0577807\pi\) | |||||||
\(200\) | 0.322255 | − | 0.269240i | 0.0227869 | − | 0.0190382i | ||||
\(201\) | 3.46783 | + | 12.9421i | 0.244602 | + | 0.912865i | ||||
\(202\) | 7.32613 | + | 4.98019i | 0.515465 | + | 0.350405i | ||||
\(203\) | 0.756761 | − | 6.01359i | 0.0531142 | − | 0.422071i | ||||
\(204\) | 0.172355 | + | 0.00275108i | 0.0120673 | + | 0.000192614i | ||||
\(205\) | 0.759770 | − | 5.77103i | 0.0530647 | − | 0.403066i | ||||
\(206\) | 0.268220 | − | 0.533128i | 0.0186878 | − | 0.0371448i | ||||
\(207\) | 0.0107083 | − | 0.00618245i | 0.000744280 | − | 0.000429710i | ||||
\(208\) | −8.59065 | + | 6.16644i | −0.595654 | + | 0.427565i | ||||
\(209\) | − | 5.60949i | − | 0.388017i | ||||||
\(210\) | −4.65271 | − | 13.8091i | −0.321068 | − | 0.952918i | ||||
\(211\) | 9.72932 | − | 4.03002i | 0.669794 | − | 0.277438i | −0.0217592 | − | 0.999763i | \(-0.506927\pi\) |
0.691553 | + | 0.722325i | \(0.256927\pi\) | |||||||
\(212\) | 6.10305 | + | 24.3232i | 0.419159 | + | 1.67053i | ||||
\(213\) | 18.4141 | − | 2.42427i | 1.26172 | − | 0.166108i | ||||
\(214\) | 12.0463 | + | 0.886156i | 0.823471 | + | 0.0605764i | ||||
\(215\) | −5.95506 | − | 22.2246i | −0.406132 | − | 1.51570i | ||||
\(216\) | −7.93962 | − | 12.5213i | −0.540223 | − | 0.851968i | ||||
\(217\) | 0.141257 | + | 24.7133i | 0.00958912 | + | 1.67765i | ||||
\(218\) | 9.54953 | − | 1.82042i | 0.646776 | − | 0.123295i | ||||
\(219\) | −1.08538 | + | 0.832845i | −0.0733435 | + | 0.0562784i | ||||
\(220\) | 3.37409 | + | 2.67566i | 0.227481 | + | 0.180393i | ||||
\(221\) | 0.0808151 | − | 0.105320i | 0.00543621 | − | 0.00708461i | ||||
\(222\) | −10.7762 | − | 9.60368i | −0.723251 | − | 0.644557i | ||||
\(223\) | −5.83435 | −0.390697 | −0.195349 | − | 0.980734i | \(-0.562584\pi\) | ||||
−0.195349 | + | 0.980734i | \(0.562584\pi\) | |||||||
\(224\) | 12.7212 | − | 7.88483i | 0.849972 | − | 0.526827i | ||||
\(225\) | 0.00802638 | 0.000535092 | ||||||||
\(226\) | 18.0622 | + | 16.0969i | 1.20148 | + | 1.07075i | ||||
\(227\) | −0.313067 | + | 0.407997i | −0.0207790 | + | 0.0270797i | −0.803627 | − | 0.595133i | \(-0.797099\pi\) |
0.782848 | + | 0.622213i | \(0.213766\pi\) | |||||||
\(228\) | −12.6087 | + | 15.9000i | −0.835030 | + | 1.05300i | ||||
\(229\) | −12.2415 | + | 9.39321i | −0.808939 | + | 0.620720i | −0.928174 | − | 0.372145i | \(-0.878622\pi\) |
0.119236 | + | 0.992866i | \(0.461956\pi\) | |||||||
\(230\) | 0.720946 | − | 0.137434i | 0.0475378 | − | 0.00906210i | ||||
\(231\) | 3.71944 | − | 2.17586i | 0.244721 | − | 0.143161i | ||||
\(232\) | 1.41585 | − | 6.32291i | 0.0929553 | − | 0.415120i | ||||
\(233\) | −5.68909 | − | 21.2320i | −0.372705 | − | 1.39095i | −0.856670 | − | 0.515865i | \(-0.827470\pi\) |
0.483965 | − | 0.875087i | \(-0.339196\pi\) | |||||||
\(234\) | −0.201577 | − | 0.0148285i | −0.0131775 | − | 0.000969369i | ||||
\(235\) | 13.3846 | − | 1.76211i | 0.873114 | − | 0.114948i | ||||
\(236\) | −16.9382 | + | 4.25003i | −1.10258 | + | 0.276654i | ||||
\(237\) | 19.3739 | − | 8.02492i | 1.25847 | − | 0.521275i | ||||
\(238\) | −0.124203 | + | 0.140982i | −0.00805091 | + | 0.00913848i | ||||
\(239\) | 27.2393i | 1.76196i | 0.473149 | + | 0.880982i | \(0.343117\pi\) | ||||
−0.473149 | + | 0.880982i | \(0.656883\pi\) | |||||||
\(240\) | −3.54959 | − | 15.1682i | −0.229125 | − | 0.979101i | ||||
\(241\) | −23.4339 | + | 13.5295i | −1.50951 | + | 0.871515i | −0.509569 | + | 0.860430i | \(0.670195\pi\) |
−0.999939 | + | 0.0110847i | \(0.996472\pi\) | |||||||
\(242\) | 6.41920 | − | 12.7591i | 0.412642 | − | 0.820189i | ||||
\(243\) | 0.0733242 | − | 0.556953i | 0.00470375 | − | 0.0357285i | ||||
\(244\) | −0.0575571 | + | 3.60595i | −0.00368472 | + | 0.230848i | ||||
\(245\) | 14.7427 | + | 5.91008i | 0.941873 | + | 0.377581i | ||||
\(246\) | −5.14971 | − | 3.50069i | −0.328334 | − | 0.223196i | ||||
\(247\) | 4.04482 | + | 15.0955i | 0.257366 | + | 0.960501i | ||||
\(248\) | −2.35855 | + | 26.3145i | −0.149768 | + | 1.67097i | ||||
\(249\) | 6.26136 | − | 23.3677i | 0.396797 | − | 1.48087i | ||||
\(250\) | −14.7014 | − | 5.12165i | −0.929799 | − | 0.323922i | ||||
\(251\) | −15.4531 | − | 6.40088i | −0.975390 | − | 0.404020i | −0.162674 | − | 0.986680i | \(-0.552012\pi\) |
−0.812716 | + | 0.582660i | \(0.802012\pi\) | |||||||
\(252\) | 0.283224 | + | 0.0402430i | 0.0178414 | + | 0.00253507i | ||||
\(253\) | 0.0830555 | + | 0.200514i | 0.00522165 | + | 0.0126062i | ||||
\(254\) | 3.11668 | − | 3.49719i | 0.195558 | − | 0.219434i | ||||
\(255\) | 0.0977818 | + | 0.169363i | 0.00612333 | + | 0.0106059i | ||||
\(256\) | 14.3386 | − | 7.09969i | 0.896160 | − | 0.443731i | ||||
\(257\) | −1.68247 | + | 2.91413i | −0.104950 | + | 0.181778i | −0.913718 | − | 0.406350i | \(-0.866802\pi\) |
0.808768 | + | 0.588128i | \(0.200135\pi\) | |||||||
\(258\) | −24.1017 | − | 4.99440i | −1.50051 | − | 0.310938i | ||||
\(259\) | 15.5869 | − | 2.14276i | 0.968525 | − | 0.133145i | ||||
\(260\) | −11.0092 | − | 4.76741i | −0.682762 | − | 0.295662i | ||||
\(261\) | 0.0982548 | − | 0.0753936i | 0.00608182 | − | 0.00466675i | ||||
\(262\) | −4.24496 | + | 3.66321i | −0.262254 | + | 0.226314i | ||||
\(263\) | −4.72463 | + | 17.6325i | −0.291333 | + | 1.08727i | 0.652753 | + | 0.757571i | \(0.273614\pi\) |
−0.944086 | + | 0.329699i | \(0.893053\pi\) | |||||||
\(264\) | 4.17917 | − | 1.93798i | 0.257210 | − | 0.119275i | ||||
\(265\) | −20.1175 | + | 20.1175i | −1.23581 | + | 1.23581i | ||||
\(266\) | −4.26600 | − | 21.7034i | −0.261565 | − | 1.33072i | ||||
\(267\) | 1.41704 | − | 3.42105i | 0.0867217 | − | 0.209365i | ||||
\(268\) | −13.3947 | − | 8.02117i | −0.818213 | − | 0.489971i | ||||
\(269\) | 5.35106 | + | 4.10601i | 0.326260 | + | 0.250348i | 0.758883 | − | 0.651227i | \(-0.225745\pi\) |
−0.432623 | + | 0.901575i | \(0.642412\pi\) | |||||||
\(270\) | 7.55975 | − | 15.0262i | 0.460072 | − | 0.914463i | ||||
\(271\) | 8.29501 | + | 4.78912i | 0.503886 | + | 0.290919i | 0.730317 | − | 0.683109i | \(-0.239372\pi\) |
−0.226431 | + | 0.974027i | \(0.572706\pi\) | |||||||
\(272\) | −0.146491 | + | 0.137425i | −0.00888234 | + | 0.00833264i | ||||
\(273\) | −8.44029 | + | 8.53733i | −0.510829 | + | 0.516703i | ||||
\(274\) | −12.2801 | + | 8.06433i | −0.741870 | + | 0.487184i | ||||
\(275\) | −0.0183889 | + | 0.139677i | −0.00110889 | + | 0.00842287i | ||||
\(276\) | 0.215284 | − | 0.755038i | 0.0129586 | − | 0.0454479i | ||||
\(277\) | −12.9532 | + | 1.70532i | −0.778282 | + | 0.102463i | −0.509193 | − | 0.860652i | \(-0.670056\pi\) |
−0.269089 | + | 0.963115i | \(0.586723\pi\) | |||||||
\(278\) | 1.16095 | + | 2.40232i | 0.0696294 | + | 0.144082i | ||||
\(279\) | −0.357079 | + | 0.357079i | −0.0213777 | + | 0.0213777i | ||||
\(280\) | 15.0893 | + | 7.78626i | 0.901761 | + | 0.465318i | ||||
\(281\) | 6.54883 | + | 6.54883i | 0.390670 | + | 0.390670i | 0.874926 | − | 0.484256i | \(-0.160910\pi\) |
−0.484256 | + | 0.874926i | \(0.660910\pi\) | |||||||
\(282\) | 4.75118 | − | 13.6380i | 0.282929 | − | 0.812131i | ||||
\(283\) | −1.89112 | − | 14.3645i | −0.112415 | − | 0.853878i | −0.951018 | − | 0.309135i | \(-0.899961\pi\) |
0.838603 | − | 0.544743i | \(-0.183373\pi\) | |||||||
\(284\) | −13.4473 | + | 16.9574i | −0.797949 | + | 1.00624i | ||||
\(285\) | −22.8252 | − | 3.00499i | −1.35205 | − | 0.178000i | ||||
\(286\) | 0.719875 | − | 3.47394i | 0.0425671 | − | 0.205418i | ||||
\(287\) | 6.54585 | − | 1.79412i | 0.386389 | − | 0.105903i | ||||
\(288\) | 0.297325 | + | 0.0715799i | 0.0175201 | + | 0.00421789i | ||||
\(289\) | −8.49874 | + | 14.7202i | −0.499926 | + | 0.865897i | ||||
\(290\) | 6.97958 | − | 2.30730i | 0.409855 | − | 0.135489i | ||||
\(291\) | −18.9685 | + | 24.7202i | −1.11195 | + | 1.44912i | ||||
\(292\) | 0.233279 | − | 1.57701i | 0.0136516 | − | 0.0922876i | ||||
\(293\) | 2.86102 | + | 1.18507i | 0.167143 | + | 0.0692328i | 0.464686 | − | 0.885476i | \(-0.346167\pi\) |
−0.297543 | + | 0.954708i | \(0.596167\pi\) | |||||||
\(294\) | 12.7359 | − | 11.2471i | 0.742775 | − | 0.655945i | ||||
\(295\) | −14.0094 | − | 14.0094i | −0.815657 | − | 0.815657i | ||||
\(296\) | 16.8054 | − | 0.697981i | 0.976792 | − | 0.0405693i | ||||
\(297\) | 4.80465 | + | 1.28740i | 0.278794 | + | 0.0747027i | ||||
\(298\) | −24.5527 | − | 1.80615i | −1.42230 | − | 0.104628i | ||||
\(299\) | −0.368091 | − | 0.479705i | −0.0212872 | − | 0.0277421i | ||||
\(300\) | 0.366081 | − | 0.354579i | 0.0211357 | − | 0.0204716i | ||||
\(301\) | 21.1910 | − | 16.4537i | 1.22143 | − | 0.948375i | ||||
\(302\) | −0.699787 | + | 0.459548i | −0.0402682 | + | 0.0264440i | ||||
\(303\) | 9.31090 | + | 5.37565i | 0.534897 | + | 0.308823i | ||||
\(304\) | −2.33662 | − | 23.5301i | −0.134014 | − | 1.34954i | ||||
\(305\) | −3.54336 | + | 2.04576i | −0.202892 | + | 0.117140i | ||||
\(306\) | −0.00383288 | 0.000220517i | −0.000219111 | 1.26061e-5i | ||||||
\(307\) | 5.22184 | − | 2.16296i | 0.298026 | − | 0.123447i | −0.228660 | − | 0.973506i | \(-0.573434\pi\) |
0.526686 | + | 0.850060i | \(0.323434\pi\) | |||||||
\(308\) | −1.34920 | + | 4.83654i | −0.0768779 | + | 0.275588i | ||||
\(309\) | 0.277181 | − | 0.669175i | 0.0157683 | − | 0.0380680i | ||||
\(310\) | −26.9876 | + | 13.0421i | −1.53279 | + | 0.740743i | ||||
\(311\) | 7.01313 | + | 1.87916i | 0.397678 | + | 0.106558i | 0.452115 | − | 0.891960i | \(-0.350670\pi\) |
−0.0544368 | + | 0.998517i | \(0.517336\pi\) | |||||||
\(312\) | −9.84897 | + | 8.22869i | −0.557588 | + | 0.465858i | ||||
\(313\) | −2.83478 | + | 0.759576i | −0.160231 | + | 0.0429338i | −0.338043 | − | 0.941131i | \(-0.609765\pi\) |
0.177812 | + | 0.984065i | \(0.443098\pi\) | |||||||
\(314\) | 5.41769 | + | 28.4200i | 0.305738 | + | 1.60384i | ||||
\(315\) | 0.125911 | + | 0.299128i | 0.00709428 | + | 0.0168540i | ||||
\(316\) | −9.71013 | + | 22.4233i | −0.546237 | + | 1.26141i | ||||
\(317\) | 14.2195 | + | 1.87203i | 0.798645 | + | 0.105144i | 0.518793 | − | 0.854900i | \(-0.326381\pi\) |
0.279852 | + | 0.960043i | \(0.409715\pi\) | |||||||
\(318\) | 9.55278 | + | 28.8972i | 0.535693 | + | 1.62047i | ||||
\(319\) | 1.08691 | + | 1.88259i | 0.0608555 | + | 0.105405i | ||||
\(320\) | 15.2678 | + | 9.81811i | 0.853498 | + | 0.548849i | ||||
\(321\) | 14.6597 | 0.818222 | ||||||||
\(322\) | 0.473835 | + | 0.712633i | 0.0264058 | + | 0.0397135i | ||||
\(323\) | 0.113598 | + | 0.274250i | 0.00632078 | + | 0.0152597i | ||||
\(324\) | −10.5316 | − | 14.1883i | −0.585088 | − | 0.788237i | ||||
\(325\) | −0.0512312 | − | 0.389140i | −0.00284180 | − | 0.0215856i | ||||
\(326\) | 11.1336 | − | 9.60778i | 0.616631 | − | 0.532126i | ||||
\(327\) | 11.3966 | − | 3.05370i | 0.630231 | − | 0.168870i | ||||
\(328\) | 7.14832 | − | 1.24479i | 0.394700 | − | 0.0687322i | ||||
\(329\) | 7.94855 | + | 13.5873i | 0.438218 | + | 0.749094i | ||||
\(330\) | 4.32220 | + | 2.93816i | 0.237929 | + | 0.161741i | ||||
\(331\) | 9.65849 | + | 12.5872i | 0.530879 | + | 0.691854i | 0.979403 | − | 0.201916i | \(-0.0647169\pi\) |
−0.448524 | + | 0.893771i | \(0.648050\pi\) | |||||||
\(332\) | 13.7034 | + | 24.6348i | 0.752073 | + | 1.35201i | ||||
\(333\) | 0.255056 | + | 0.195711i | 0.0139770 | + | 0.0107249i | ||||
\(334\) | 12.4123 | − | 0.714118i | 0.679172 | − | 0.0390748i | ||||
\(335\) | − | 17.7128i | − | 0.967756i | ||||||
\(336\) | 14.6956 | − | 10.6764i | 0.801709 | − | 0.582445i | ||||
\(337\) | 8.12319i | 0.442499i | 0.975217 | + | 0.221249i | \(0.0710134\pi\) | ||||
−0.975217 | + | 0.221249i | \(0.928987\pi\) | |||||||
\(338\) | −0.488270 | − | 8.48678i | −0.0265584 | − | 0.461620i | ||||
\(339\) | 23.2955 | + | 17.8753i | 1.26524 | + | 0.970852i | ||||
\(340\) | −0.219146 | − | 0.0624851i | −0.0118849 | − | 0.00338873i | ||||
\(341\) | −5.39590 | − | 7.03207i | −0.292204 | − | 0.380808i | ||||
\(342\) | 0.254087 | − | 0.373776i | 0.0137394 | − | 0.0202115i | ||||
\(343\) | 0.317556 | + | 18.5175i | 0.0171464 | + | 0.999853i | ||||
\(344\) | 24.2221 | − | 15.3589i | 1.30597 | − | 0.828099i | ||||
\(345\) | 0.860388 | − | 0.230540i | 0.0463217 | − | 0.0124119i | ||||
\(346\) | −5.51104 | − | 6.38623i | −0.296275 | − | 0.343326i | ||||
\(347\) | 2.25177 | + | 17.1039i | 0.120881 | + | 0.918185i | 0.939188 | + | 0.343403i | \(0.111580\pi\) |
−0.818307 | + | 0.574782i | \(0.805087\pi\) | |||||||
\(348\) | 1.15075 | − | 7.77925i | 0.0616865 | − | 0.417012i | ||||
\(349\) | 0.275206 | + | 0.664405i | 0.0147314 | + | 0.0355648i | 0.931074 | − | 0.364830i | \(-0.118873\pi\) |
−0.916343 | + | 0.400395i | \(0.868873\pi\) | |||||||
\(350\) | 0.0350769 | + | 0.554403i | 0.00187494 | + | 0.0296341i | ||||
\(351\) | −13.8579 | −0.739680 | ||||||||
\(352\) | −1.92684 | + | 5.01014i | −0.102701 | + | 0.267042i | ||||
\(353\) | −10.2028 | − | 17.6718i | −0.543041 | − | 0.940574i | −0.998727 | − | 0.0504339i | \(-0.983940\pi\) |
0.455687 | − | 0.890140i | \(-0.349394\pi\) | |||||||
\(354\) | −20.1234 | + | 6.65235i | −1.06954 | + | 0.353568i | ||||
\(355\) | −24.3432 | − | 3.20485i | −1.29201 | − | 0.170096i | ||||
\(356\) | 1.58738 | + | 4.01221i | 0.0841308 | + | 0.212647i | ||||
\(357\) | −0.137782 | + | 0.181701i | −0.00729217 | + | 0.00961666i | ||||
\(358\) | 18.2730 | − | 3.48336i | 0.965756 | − | 0.184101i | ||||
\(359\) | −11.6399 | + | 3.11891i | −0.614333 | + | 0.164610i | −0.552550 | − | 0.833480i | \(-0.686345\pi\) |
−0.0617827 | + | 0.998090i | \(0.519679\pi\) | |||||||
\(360\) | 0.103629 | + | 0.331119i | 0.00546172 | + | 0.0174515i | ||||
\(361\) | −15.4020 | − | 4.12696i | −0.810633 | − | 0.217208i | ||||
\(362\) | −14.9575 | − | 30.9511i | −0.786151 | − | 1.62675i | ||||
\(363\) | 6.63367 | − | 16.0151i | 0.348177 | − | 0.840574i | ||||
\(364\) | 0.143309 | − | 13.9883i | 0.00751144 | − | 0.733185i | ||||
\(365\) | 1.67093 | − | 0.692124i | 0.0874607 | − | 0.0362274i | ||||
\(366\) | 0.251404 | + | 4.36973i | 0.0131411 | + | 0.228409i | ||||
\(367\) | 20.3624 | − | 11.7562i | 1.06291 | − | 0.613671i | 0.136674 | − | 0.990616i | \(-0.456359\pi\) |
0.926236 | + | 0.376945i | \(0.123025\pi\) | |||||||
\(368\) | 0.431916 | + | 0.806497i | 0.0225152 | + | 0.0420416i | ||||
\(369\) | 0.120107 | + | 0.0693437i | 0.00625251 | + | 0.00360989i | ||||
\(370\) | 10.4746 | + | 15.9505i | 0.544549 | + | 0.829225i | ||||
\(371\) | −30.7209 | − | 12.5198i | −1.59495 | − | 0.649994i | ||||
\(372\) | −0.511745 | + | 32.0608i | −0.0265327 | + | 1.66228i | ||||
\(373\) | −7.45759 | − | 9.71892i | −0.386139 | − | 0.503226i | 0.559327 | − | 0.828947i | \(-0.311060\pi\) |
−0.945466 | + | 0.325721i | \(0.894393\pi\) | |||||||
\(374\) | 0.00494384 | − | 0.0672062i | 0.000255640 | − | 0.00347515i | ||||
\(375\) | −18.2504 | − | 4.89019i | −0.942449 | − | 0.252528i | ||||
\(376\) | 7.07958 | + | 15.2668i | 0.365101 | + | 0.787324i | ||||
\(377\) | −4.28242 | − | 4.28242i | −0.220556 | − | 0.220556i | ||||
\(378\) | 19.5685 | + | 1.32709i | 1.00649 | + | 0.0682584i | ||||
\(379\) | 23.3198 | + | 9.65936i | 1.19786 | + | 0.496168i | 0.890306 | − | 0.455364i | \(-0.150491\pi\) |
0.307550 | + | 0.951532i | \(0.400491\pi\) | |||||||
\(380\) | 21.5408 | − | 15.9892i | 1.10502 | − | 0.820227i | ||||
\(381\) | 3.46101 | − | 4.51047i | 0.177313 | − | 0.231078i | ||||
\(382\) | 10.8791 | + | 32.9094i | 0.556625 | + | 1.68379i | ||||
\(383\) | 13.1708 | − | 22.8125i | 0.672998 | − | 1.16567i | −0.304052 | − | 0.952655i | \(-0.598340\pi\) |
0.977050 | − | 0.213011i | \(-0.0683269\pi\) | |||||||
\(384\) | 16.7231 | − | 9.87008i | 0.853396 | − | 0.503680i | ||||
\(385\) | −5.49399 | + | 1.50582i | −0.280000 | + | 0.0767436i | ||||
\(386\) | 20.0612 | + | 4.15712i | 1.02109 | + | 0.211592i | ||||
\(387\) | 0.543514 | + | 0.0715550i | 0.0276284 | + | 0.00363734i | ||||
\(388\) | −4.16405 | − | 36.0685i | −0.211398 | − | 1.83110i | ||||
\(389\) | −0.883693 | − | 6.71232i | −0.0448050 | − | 0.340328i | −0.999135 | − | 0.0415747i | \(-0.986763\pi\) |
0.954330 | − | 0.298753i | \(-0.0965708\pi\) | |||||||
\(390\) | −13.7499 | − | 4.79017i | −0.696254 | − | 0.242560i | ||||
\(391\) | −0.00812123 | − | 0.00812123i | −0.000410709 | − | 0.000410709i | ||||
\(392\) | −1.54194 | + | 19.7389i | −0.0778799 | + | 0.996963i | ||||
\(393\) | −4.81188 | + | 4.81188i | −0.242727 | + | 0.242727i | ||||
\(394\) | −33.1647 | + | 16.0273i | −1.67081 | + | 0.807442i | ||||
\(395\) | −27.4851 | + | 3.61848i | −1.38292 | + | 0.182065i | ||||
\(396\) | −0.0896621 | + | 0.0498757i | −0.00450569 | + | 0.00250635i | ||||
\(397\) | −2.02284 | + | 15.3650i | −0.101523 | + | 0.771146i | 0.862637 | + | 0.505824i | \(0.168812\pi\) |
−0.964160 | + | 0.265322i | \(0.914522\pi\) | |||||||
\(398\) | 9.39461 | + | 14.3059i | 0.470909 | + | 0.717088i | ||||
\(399\) | −7.09596 | − | 25.8897i | −0.355243 | − | 1.29610i | ||||
\(400\) | −0.0189534 | + | 0.593564i | −0.000947670 | + | 0.0296782i | ||||
\(401\) | −1.80550 | − | 1.04241i | −0.0901625 | − | 0.0520553i | 0.454241 | − | 0.890879i | \(-0.349911\pi\) |
−0.544403 | + | 0.838824i | \(0.683244\pi\) | |||||||
\(402\) | −16.9270 | − | 8.51608i | −0.844243 | − | 0.424743i | ||||
\(403\) | 19.5913 | + | 15.0329i | 0.975911 | + | 0.748843i | ||||
\(404\) | −12.1513 | + | 3.04892i | −0.604548 | + | 0.151690i | ||||
\(405\) | 7.67149 | − | 18.5206i | 0.381200 | − | 0.920297i | ||||
\(406\) | 5.63702 | + | 6.45723i | 0.279761 | + | 0.320467i | ||||
\(407\) | −3.99017 | + | 3.99017i | −0.197785 | + | 0.197785i | ||||
\(408\) | −0.165075 | + | 0.179382i | −0.00817244 | + | 0.00888071i | ||||
\(409\) | 4.51629 | − | 16.8550i | 0.223316 | − | 0.833427i | −0.759756 | − | 0.650208i | \(-0.774682\pi\) |
0.983072 | − | 0.183219i | \(-0.0586517\pi\) | |||||||
\(410\) | 5.37810 | + | 6.23218i | 0.265606 | + | 0.307785i | ||||
\(411\) | −14.1457 | + | 10.8544i | −0.697756 | + | 0.535407i | ||||
\(412\) | 0.310499 | + | 0.784810i | 0.0152972 | + | 0.0386648i | ||||
\(413\) | 8.71850 | − | 21.3934i | 0.429009 | − | 1.05270i | ||||
\(414\) | −0.00354822 | + | 0.0171228i | −0.000174386 | + | 0.000841542i | ||||
\(415\) | −15.9908 | + | 27.6968i | −0.784956 | + | 1.35958i | ||||
\(416\) | 1.57259 | − | 14.8720i | 0.0771028 | − | 0.729158i | ||||
\(417\) | 1.61911 | + | 2.80438i | 0.0792880 | + | 0.137331i | ||||
\(418\) | 5.92243 | + | 5.27803i | 0.289675 | + | 0.258157i | ||||
\(419\) | −1.85032 | − | 4.46707i | −0.0903942 | − | 0.218231i | 0.872216 | − | 0.489120i | \(-0.162682\pi\) |
−0.962610 | + | 0.270890i | \(0.912682\pi\) | |||||||
\(420\) | 18.9573 | + | 8.08086i | 0.925019 | + | 0.394306i | ||||
\(421\) | −19.5246 | − | 8.08736i | −0.951572 | − | 0.394154i | −0.147750 | − | 0.989025i | \(-0.547203\pi\) |
−0.803821 | + | 0.594871i | \(0.797203\pi\) | |||||||
\(422\) | −4.89959 | + | 14.0640i | −0.238508 | + | 0.684624i | ||||
\(423\) | −0.0832501 | + | 0.310694i | −0.00404776 | + | 0.0151064i | ||||
\(424\) | −31.4226 | − | 16.4425i | −1.52602 | − | 0.798518i | ||||
\(425\) | −0.00192958 | − | 0.00720129i | −9.35983e−5 | − | 0.000349314i | ||||
\(426\) | −14.7666 | + | 21.7224i | −0.715442 | + | 1.05246i | ||||
\(427\) | −3.80150 | − | 2.88262i | −0.183967 | − | 0.139500i | ||||
\(428\) | −12.2701 | + | 11.8846i | −0.593099 | + | 0.574463i | ||||
\(429\) | 0.562013 | − | 4.26891i | 0.0271342 | − | 0.206105i | ||||
\(430\) | 29.0676 | + | 14.6241i | 1.40177 | + | 0.705236i | ||||
\(431\) | 5.91156 | − | 3.41304i | 0.284750 | − | 0.164400i | −0.350822 | − | 0.936442i | \(-0.614098\pi\) |
0.635572 | + | 0.772042i | \(0.280764\pi\) | |||||||
\(432\) | 20.6903 | + | 3.39890i | 0.995464 | + | 0.163529i | ||||
\(433\) | − | 5.72011i | − | 0.274891i | −0.990509 | − | 0.137446i | \(-0.956111\pi\) | ||
0.990509 | − | 0.137446i | \(-0.0438892\pi\) | |||||||
\(434\) | −26.2248 | − | 23.1038i | −1.25883 | − | 1.10902i | ||||
\(435\) | 8.24257 | − | 3.41418i | 0.395201 | − | 0.163698i | ||||
\(436\) | −7.06328 | + | 11.7951i | −0.338270 | + | 0.564884i | ||||
\(437\) | 1.34049 | − | 0.176479i | 0.0641242 | − | 0.00844212i | ||||
\(438\) | 0.141943 | − | 1.92957i | 0.00678232 | − | 0.0921983i | ||||
\(439\) | −8.16557 | − | 30.4743i | −0.389721 | − | 1.45446i | −0.830588 | − | 0.556887i | \(-0.811995\pi\) |
0.440867 | − | 0.897573i | \(-0.354671\pi\) | |||||||
\(440\) | −5.99965 | + | 1.04477i | −0.286022 | + | 0.0498073i | ||||
\(441\) | −0.264516 | + | 0.270634i | −0.0125960 | + | 0.0128873i | ||||
\(442\) | 0.0351560 | + | 0.184421i | 0.00167220 | + | 0.00877199i | ||||
\(443\) | −10.4853 | + | 8.04566i | −0.498172 | + | 0.382261i | −0.827065 | − | 0.562106i | \(-0.809991\pi\) |
0.328893 | + | 0.944367i | \(0.393325\pi\) | |||||||
\(444\) | 20.2789 | − | 2.34116i | 0.962393 | − | 0.111107i | ||||
\(445\) | −2.98001 | + | 3.88363i | −0.141266 | + | 0.184102i | ||||
\(446\) | 5.48961 | − | 6.15983i | 0.259940 | − | 0.291677i | ||||
\(447\) | −29.8791 | −1.41323 | ||||||||
\(448\) | −3.64484 | + | 20.8498i | −0.172202 | + | 0.985062i | ||||
\(449\) | −12.5172 | −0.590722 | −0.295361 | − | 0.955386i | \(-0.595440\pi\) | ||||
−0.295361 | + | 0.955386i | \(0.595440\pi\) | |||||||
\(450\) | −0.00755211 | + | 0.00847415i | −0.000356010 | + | 0.000399475i | ||||
\(451\) | −1.48191 | + | 1.93126i | −0.0697804 | + | 0.0909396i | ||||
\(452\) | −33.9898 | + | 3.92406i | −1.59875 | + | 0.184572i | ||||
\(453\) | −0.806096 | + | 0.618539i | −0.0378737 | + | 0.0290615i | ||||
\(454\) | −0.136190 | − | 0.714422i | −0.00639171 | − | 0.0335295i | ||||
\(455\) | 13.6988 | − | 8.01378i | 0.642212 | − | 0.375692i | ||||
\(456\) | −4.92332 | − | 28.2725i | −0.230555 | − | 1.32398i | ||||
\(457\) | −8.50530 | − | 31.7422i | −0.397861 | − | 1.48484i | −0.816852 | − | 0.576848i | \(-0.804283\pi\) |
0.418991 | − | 0.907991i | \(-0.362384\pi\) | |||||||
\(458\) | 1.60090 | − | 21.7625i | 0.0748053 | − | 1.01690i | ||||
\(459\) | −0.260973 | + | 0.0343577i | −0.0121812 | + | 0.00160368i | ||||
\(460\) | −0.533245 | + | 0.890478i | −0.0248627 | + | 0.0415188i | ||||
\(461\) | −2.08517 | + | 0.863705i | −0.0971160 | + | 0.0402268i | −0.430712 | − | 0.902489i | \(-0.641738\pi\) |
0.333597 | + | 0.942716i | \(0.391738\pi\) | |||||||
\(462\) | −1.20242 | + | 5.97423i | −0.0559415 | + | 0.277946i | ||||
\(463\) | 4.71931i | 0.219325i | 0.993969 | + | 0.109663i | \(0.0349770\pi\) | ||||
−0.993969 | + | 0.109663i | \(0.965023\pi\) | |||||||
\(464\) | 5.34346 | + | 7.44414i | 0.248064 | + | 0.345585i | ||||
\(465\) | −31.5043 | + | 18.1890i | −1.46098 | + | 0.843495i | ||||
\(466\) | 27.7694 | + | 13.9709i | 1.28639 | + | 0.647191i | ||||
\(467\) | −4.27839 | + | 32.4976i | −0.197980 | + | 1.50381i | 0.547230 | + | 0.836982i | \(0.315682\pi\) |
−0.745211 | + | 0.666829i | \(0.767651\pi\) | |||||||
\(468\) | 0.205322 | − | 0.198871i | 0.00949102 | − | 0.00919280i | ||||
\(469\) | 19.0361 | − | 8.01277i | 0.879003 | − | 0.369995i | ||||
\(470\) | −10.7333 | + | 15.7893i | −0.495090 | + | 0.728305i | ||||
\(471\) | 9.08801 | + | 33.9169i | 0.418753 | + | 1.56281i | ||||
\(472\) | 11.4502 | − | 21.8820i | 0.527038 | − | 1.00720i | ||||
\(473\) | −2.49044 | + | 9.29445i | −0.114511 | + | 0.427359i | ||||
\(474\) | −9.75649 | + | 28.0054i | −0.448130 | + | 1.28633i | ||||
\(475\) | 0.810847 | + | 0.335864i | 0.0372042 | + | 0.0154105i | ||||
\(476\) | −0.0319822 | − | 0.263783i | −0.00146590 | − | 0.0120905i | ||||
\(477\) | −0.259406 | − | 0.626262i | −0.0118774 | − | 0.0286746i | ||||
\(478\) | −28.7589 | − | 25.6298i | −1.31540 | − | 1.17228i | ||||
\(479\) | 14.5613 | + | 25.2209i | 0.665322 | + | 1.15237i | 0.979198 | + | 0.202907i | \(0.0650390\pi\) |
−0.313876 | + | 0.949464i | \(0.601628\pi\) | |||||||
\(480\) | 19.3542 | + | 10.5243i | 0.883395 | + | 0.480366i | ||||
\(481\) | 7.86059 | − | 13.6149i | 0.358412 | − | 0.620788i | ||||
\(482\) | 7.76486 | − | 37.4713i | 0.353680 | − | 1.70677i | ||||
\(483\) | 0.636977 | + | 0.820373i | 0.0289835 | + | 0.0373283i | ||||
\(484\) | 7.43105 | + | 18.7825i | 0.337775 | + | 0.853751i | ||||
\(485\) | 32.6798 | − | 25.0761i | 1.48391 | − | 1.13865i | ||||
\(486\) | 0.519032 | + | 0.601458i | 0.0235438 | + | 0.0272827i | ||||
\(487\) | 2.45624 | − | 9.16682i | 0.111303 | − | 0.415388i | −0.887681 | − | 0.460459i | \(-0.847685\pi\) |
0.998984 | + | 0.0450711i | \(0.0143514\pi\) | |||||||
\(488\) | −3.75296 | − | 3.45365i | −0.169889 | − | 0.156339i | ||||
\(489\) | 12.6205 | − | 12.6205i | 0.570718 | − | 0.570718i | ||||
\(490\) | −20.1113 | + | 10.0042i | −0.908537 | + | 0.451946i | ||||
\(491\) | −11.6185 | + | 28.0495i | −0.524334 | + | 1.26586i | 0.410853 | + | 0.911702i | \(0.365231\pi\) |
−0.935187 | + | 0.354153i | \(0.884769\pi\) | |||||||
\(492\) | 8.54141 | − | 2.14316i | 0.385076 | − | 0.0966212i | ||||
\(493\) | −0.0912642 | − | 0.0700295i | −0.00411033 | − | 0.00315397i | ||||
\(494\) | −19.7434 | − | 9.93302i | −0.888298 | − | 0.446908i | ||||
\(495\) | −0.100807 | − | 0.0582008i | −0.00453092 | − | 0.00261593i | ||||
\(496\) | −25.5634 | − | 27.2498i | −1.14783 | − | 1.22355i | ||||
\(497\) | −7.56791 | − | 27.6116i | −0.339467 | − | 1.23855i | ||||
\(498\) | 18.7799 | + | 28.5976i | 0.841549 | + | 1.28149i | ||||
\(499\) | 3.00596 | − | 22.8325i | 0.134565 | − | 1.02212i | −0.782293 | − | 0.622910i | \(-0.785950\pi\) |
0.916858 | − | 0.399213i | \(-0.130717\pi\) | |||||||
\(500\) | 19.2401 | − | 10.7025i | 0.860443 | − | 0.478632i | ||||
\(501\) | 14.9601 | − | 1.96954i | 0.668370 | − | 0.0879926i | ||||
\(502\) | 21.2979 | − | 10.2925i | 0.950573 | − | 0.459377i | ||||
\(503\) | −3.99460 | + | 3.99460i | −0.178110 | + | 0.178110i | −0.790532 | − | 0.612421i | \(-0.790196\pi\) |
0.612421 | + | 0.790532i | \(0.290196\pi\) | |||||||
\(504\) | −0.308976 | + | 0.261159i | −0.0137629 | + | 0.0116329i | ||||
\(505\) | −10.0502 | − | 10.0502i | −0.447226 | − | 0.447226i | ||||
\(506\) | −0.289848 | − | 0.100977i | −0.0128853 | − | 0.00448896i | ||||
\(507\) | −1.34665 | − | 10.2288i | −0.0598069 | − | 0.454278i | ||||
\(508\) | 0.759776 | + | 6.58110i | 0.0337096 | + | 0.291989i | ||||
\(509\) | −0.373014 | − | 0.0491082i | −0.0165336 | − | 0.00217668i | 0.122255 | − | 0.992499i | \(-0.460987\pi\) |
−0.138788 | + | 0.990322i | \(0.544321\pi\) | |||||||
\(510\) | −0.270815 | − | 0.0561188i | −0.0119919 | − | 0.00248498i | ||||
\(511\) | 1.49971 | + | 1.48266i | 0.0663433 | + | 0.0655892i | ||||
\(512\) | −5.99555 | + | 21.8186i | −0.264968 | + | 0.964257i | ||||
\(513\) | 15.4937 | − | 26.8358i | 0.684062 | − | 1.18483i | ||||
\(514\) | −1.49364 | − | 4.51827i | −0.0658818 | − | 0.199292i | ||||
\(515\) | −0.582906 | + | 0.759658i | −0.0256859 | + | 0.0334745i | ||||
\(516\) | 27.9506 | − | 20.7470i | 1.23046 | − | 0.913336i | ||||
\(517\) | −5.21605 | − | 2.16056i | −0.229402 | − | 0.0950212i | ||||
\(518\) | −12.4036 | + | 18.4726i | −0.544984 | + | 0.811641i | ||||
\(519\) | −7.23912 | − | 7.23912i | −0.317762 | − | 0.317762i | ||||
\(520\) | 15.3921 | − | 7.13767i | 0.674986 | − | 0.313008i | ||||
\(521\) | −11.6347 | − | 3.11751i | −0.509725 | − | 0.136581i | −0.00521550 | − | 0.999986i | \(-0.501660\pi\) |
−0.504510 | + | 0.863406i | \(0.668327\pi\) | |||||||
\(522\) | −0.0128495 | + | 0.174675i | −0.000562406 | + | 0.00764531i | ||||
\(523\) | 21.6218 | + | 28.1780i | 0.945454 | + | 1.23214i | 0.972594 | + | 0.232508i | \(0.0746932\pi\) |
−0.0271405 | + | 0.999632i | \(0.508640\pi\) | |||||||
\(524\) | 0.126553 | − | 7.92853i | 0.00552848 | − | 0.346359i | ||||
\(525\) | 0.0918201 | + | 0.667920i | 0.00400736 | + | 0.0291504i | ||||
\(526\) | −14.1708 | − | 21.5789i | −0.617875 | − | 0.940883i | ||||
\(527\) | 0.406215 | + | 0.234528i | 0.0176950 | + | 0.0102162i | ||||
\(528\) | −1.88613 | + | 6.23579i | −0.0820833 | + | 0.271378i | ||||
\(529\) | 19.8733 | − | 11.4738i | 0.864056 | − | 0.498863i | ||||
\(530\) | −2.31102 | − | 40.1685i | −0.100384 | − | 1.74481i | ||||
\(531\) | 0.436115 | − | 0.180645i | 0.0189258 | − | 0.00783932i | ||||
\(532\) | 26.9281 | + | 15.9169i | 1.16748 | + | 0.690087i | ||||
\(533\) | 2.59533 | − | 6.26569i | 0.112416 | − | 0.271397i | ||||
\(534\) | 2.27859 | + | 4.71500i | 0.0986041 | + | 0.204038i | ||||
\(535\) | −18.7195 | − | 5.01588i | −0.809316 | − | 0.216855i | ||||
\(536\) | 21.0719 | − | 6.59477i | 0.910167 | − | 0.284851i | ||||
\(537\) | 21.8072 | − | 5.84323i | 0.941051 | − | 0.252154i | ||||
\(538\) | −9.36994 | + | 1.78619i | −0.403967 | + | 0.0770080i | ||||
\(539\) | −4.10363 | − | 5.22322i | −0.176756 | − | 0.224980i | ||||
\(540\) | 8.75138 | + | 22.1198i | 0.376599 | + | 0.951883i | ||||
\(541\) | 13.9320 | + | 1.83418i | 0.598982 | + | 0.0788575i | 0.423920 | − | 0.905700i | \(-0.360654\pi\) |
0.175063 | + | 0.984557i | \(0.443987\pi\) | |||||||
\(542\) | −12.8612 | + | 4.25162i | −0.552434 | + | 0.182623i | ||||
\(543\) | −20.8603 | − | 36.1311i | −0.895201 | − | 1.55053i | ||||
\(544\) | −0.00725669 | − | 0.283969i | −0.000311128 | − | 0.0121751i | ||||
\(545\) | −15.5976 | −0.668127 | ||||||||
\(546\) | −1.07204 | − | 16.9440i | −0.0458792 | − | 0.725137i | ||||
\(547\) | −4.13041 | − | 9.97168i | −0.176603 | − | 0.426358i | 0.810647 | − | 0.585536i | \(-0.199116\pi\) |
−0.987250 | + | 0.159177i | \(0.949116\pi\) | |||||||
\(548\) | 3.04031 | − | 20.5530i | 0.129875 | − | 0.877982i | ||||
\(549\) | −0.0127243 | − | 0.0966507i | −0.000543060 | − | 0.00412495i | ||||
\(550\) | −0.130167 | − | 0.150839i | −0.00555035 | − | 0.00643179i | ||||
\(551\) | 13.0808 | − | 3.50499i | 0.557261 | − | 0.149318i | ||||
\(552\) | 0.594596 | + | 0.937718i | 0.0253077 | + | 0.0399119i | ||||
\(553\) | −16.3222 | − | 27.9014i | −0.694092 | − | 1.18649i | ||||
\(554\) | 10.3874 | − | 15.2804i | 0.441316 | − | 0.649201i | ||||
\(555\) | 14.0986 | + | 18.3736i | 0.598451 | + | 0.779917i | ||||
\(556\) | −3.62870 | − | 1.03465i | −0.153891 | − | 0.0438790i | ||||
\(557\) | 15.5397 | + | 11.9241i | 0.658439 | + | 0.505238i | 0.883092 | − | 0.469201i | \(-0.155458\pi\) |
−0.224652 | + | 0.974439i | \(0.572125\pi\) | |||||||
\(558\) | −0.0410198 | − | 0.712979i | −0.00173651 | − | 0.0301828i | ||||
\(559\) | − | 26.8077i | − | 1.13384i | ||||||
\(560\) | −22.4184 | + | 8.60496i | −0.947349 | + | 0.363626i | ||||
\(561\) | − | 0.0817858i | − | 0.00345300i | ||||||
\(562\) | −13.0760 | + | 0.752304i | −0.551579 | + | 0.0317340i | ||||
\(563\) | 24.8644 | + | 19.0791i | 1.04791 | + | 0.804088i | 0.981066 | − | 0.193675i | \(-0.0620409\pi\) |
0.0668424 | + | 0.997764i | \(0.478708\pi\) | |||||||
\(564\) | 9.92838 | + | 17.8484i | 0.418060 | + | 0.751552i | ||||
\(565\) | −23.6309 | − | 30.7964i | −0.994159 | − | 1.29561i | ||||
\(566\) | 16.9452 | + | 11.5191i | 0.712259 | + | 0.484182i | ||||
\(567\) | 23.3745 | − | 0.133605i | 0.981639 | − | 0.00561087i | ||||
\(568\) | −5.25076 | − | 30.1529i | −0.220317 | − | 1.26519i | ||||
\(569\) | −36.8872 | + | 9.88389i | −1.54639 | + | 0.414354i | −0.928324 | − | 0.371771i | \(-0.878751\pi\) |
−0.618067 | + | 0.786125i | \(0.712084\pi\) | |||||||
\(570\) | 24.6491 | − | 21.2711i | 1.03244 | − | 0.890948i | ||||
\(571\) | 2.87503 | + | 21.8380i | 0.120316 | + | 0.913894i | 0.940023 | + | 0.341110i | \(0.110803\pi\) |
−0.819707 | + | 0.572783i | \(0.805864\pi\) | |||||||
\(572\) | 2.99040 | + | 4.02870i | 0.125035 | + | 0.168448i | ||||
\(573\) | 16.0982 | + | 38.8645i | 0.672512 | + | 1.62359i | ||||
\(574\) | −4.26485 | + | 8.59912i | −0.178012 | + | 0.358921i | ||||
\(575\) | −0.0339570 | −0.00141610 | ||||||||
\(576\) | −0.355330 | + | 0.246562i | −0.0148054 | + | 0.0102734i | ||||
\(577\) | 2.30610 | + | 3.99428i | 0.0960042 | + | 0.166284i | 0.910027 | − | 0.414548i | \(-0.136060\pi\) |
−0.814023 | + | 0.580833i | \(0.802727\pi\) | |||||||
\(578\) | −7.54489 | − | 22.8233i | −0.313826 | − | 0.949324i | ||||
\(579\) | 24.6520 | + | 3.24550i | 1.02450 | + | 0.134878i | ||||
\(580\) | −4.13115 | + | 9.53991i | −0.171537 | + | 0.396123i | ||||
\(581\) | −36.9996 | − | 4.65611i | −1.53500 | − | 0.193168i | ||||
\(582\) | −8.25162 | − | 43.2862i | −0.342041 | − | 1.79427i | ||||
\(583\) | 11.4927 | − | 3.07946i | 0.475979 | − | 0.127538i | ||||
\(584\) | 1.44549 | + | 1.73012i | 0.0598149 | + | 0.0715929i | ||||
\(585\) | 0.313243 | + | 0.0839333i | 0.0129510 | + | 0.00347021i | ||||
\(586\) | −3.94315 | + | 1.90558i | −0.162890 | + | 0.0787188i | ||||
\(587\) | 8.83831 | − | 21.3376i | 0.364796 | − | 0.880695i | −0.629789 | − | 0.776766i | \(-0.716859\pi\) |
0.994585 | − | 0.103929i | \(-0.0331415\pi\) | |||||||
\(588\) | −0.108824 | + | 24.0290i | −0.00448782 | + | 0.990939i | ||||
\(589\) | −51.0150 | + | 21.1311i | −2.10204 | + | 0.870692i | ||||
\(590\) | 27.9725 | − | 1.60934i | 1.15161 | − | 0.0662556i | ||||
\(591\) | −38.7151 | + | 22.3522i | −1.59253 | + | 0.919446i | ||||
\(592\) | −15.0754 | + | 18.3996i | −0.619597 | + | 0.756220i | ||||
\(593\) | 31.6538 | + | 18.2753i | 1.29986 | + | 0.750477i | 0.980380 | − | 0.197115i | \(-0.0631572\pi\) |
0.319484 | + | 0.947592i | \(0.396491\pi\) | |||||||
\(594\) | −5.87998 | + | 3.86136i | −0.241258 | + | 0.158434i | ||||
\(595\) | 0.238109 | − | 0.184879i | 0.00976152 | − | 0.00757931i | ||||
\(596\) | 25.0088 | − | 24.2230i | 1.02440 | − | 0.992212i | ||||
\(597\) | 12.6449 | + | 16.4792i | 0.517522 | + | 0.674447i | ||||
\(598\) | 0.852807 | + | 0.0627344i | 0.0348739 | + | 0.00256540i | ||||
\(599\) | 6.61863 | + | 1.77346i | 0.270430 | + | 0.0724614i | 0.391485 | − | 0.920184i | \(-0.371961\pi\) |
−0.121056 | + | 0.992646i | \(0.538628\pi\) | |||||||
\(600\) | 0.0299093 | + | 0.720131i | 0.00122104 | + | 0.0293992i | ||||
\(601\) | 27.8002 | + | 27.8002i | 1.13400 | + | 1.13400i | 0.989506 | + | 0.144489i | \(0.0461538\pi\) |
0.144489 | + | 0.989506i | \(0.453846\pi\) | |||||||
\(602\) | −2.56722 | + | 37.8546i | −0.104632 | + | 1.54284i | ||||
\(603\) | 0.389902 | + | 0.161503i | 0.0158780 | + | 0.00657690i | ||||
\(604\) | 0.173253 | − | 1.17122i | 0.00704955 | − | 0.0476562i | ||||
\(605\) | −13.9505 | + | 18.1806i | −0.567167 | + | 0.739146i | ||||
\(606\) | −14.4363 | + | 4.77232i | −0.586433 | + | 0.193862i | ||||
\(607\) | −17.2445 | + | 29.8684i | −0.699933 | + | 1.21232i | 0.268556 | + | 0.963264i | \(0.413454\pi\) |
−0.968489 | + | 0.249056i | \(0.919880\pi\) | |||||||
\(608\) | 27.0413 | + | 19.6728i | 1.09667 | + | 0.797836i | ||||
\(609\) | 7.39793 | + | 7.31384i | 0.299779 | + | 0.296372i | ||||
\(610\) | 1.17410 | − | 5.66591i | 0.0475379 | − | 0.229406i | ||||
\(611\) | 15.5946 | + | 2.05307i | 0.630890 | + | 0.0830582i | ||||
\(612\) | 0.00337358 | − | 0.00425420i | 0.000136369 | − | 0.000171966i | ||||
\(613\) | 2.22063 | + | 16.8674i | 0.0896904 | + | 0.681266i | 0.975937 | + | 0.218053i | \(0.0699704\pi\) |
−0.886247 | + | 0.463214i | \(0.846696\pi\) | |||||||
\(614\) | −2.62967 | + | 7.54831i | −0.106125 | + | 0.304625i | ||||
\(615\) | 7.06450 | + | 7.06450i | 0.284868 | + | 0.284868i | ||||
\(616\) | −3.83688 | − | 5.97522i | −0.154592 | − | 0.240749i | ||||
\(617\) | 21.9050 | − | 21.9050i | 0.881864 | − | 0.881864i | −0.111860 | − | 0.993724i | \(-0.535681\pi\) |
0.993724 | + | 0.111860i | \(0.0356808\pi\) | |||||||
\(618\) | 0.445703 | + | 0.922278i | 0.0179288 | + | 0.0370995i | ||||
\(619\) | −28.6865 | + | 3.77665i | −1.15301 | + | 0.151796i | −0.682695 | − | 0.730704i | \(-0.739192\pi\) |
−0.470312 | + | 0.882500i | \(0.655859\pi\) | |||||||
\(620\) | 11.6232 | − | 40.7647i | 0.466801 | − | 1.63715i | ||||
\(621\) | −0.156490 | + | 1.18866i | −0.00627973 | + | 0.0476993i | ||||
\(622\) | −8.58273 | + | 5.63625i | −0.344136 | + | 0.225993i | ||||
\(623\) | −5.52182 | − | 1.44579i | −0.221227 | − | 0.0579244i | ||||
\(624\) | 0.579266 | − | 18.1409i | 0.0231892 | − | 0.726217i | ||||
\(625\) | 22.2744 | + | 12.8601i | 0.890977 | + | 0.514406i | ||||
\(626\) | 1.86532 | − | 3.70761i | 0.0745533 | − | 0.148186i | ||||
\(627\) | 7.63839 | + | 5.86114i | 0.305048 | + | 0.234072i | ||||
\(628\) | −35.1031 | − | 21.0208i | −1.40077 | − | 0.838821i | ||||
\(629\) | 0.114276 | − | 0.275886i | 0.00455647 | − | 0.0110003i | ||||
\(630\) | −0.434287 | − | 0.148518i | −0.0173024 | − | 0.00591710i | ||||
\(631\) | 11.4925 | − | 11.4925i | 0.457510 | − | 0.457510i | −0.440327 | − | 0.897837i | \(-0.645137\pi\) |
0.897837 | + | 0.440327i | \(0.145137\pi\) | |||||||
\(632\) | −14.5378 | − | 31.3501i | −0.578283 | − | 1.24704i | ||||
\(633\) | −4.67816 | + | 17.4591i | −0.185940 | + | 0.693938i | ||||
\(634\) | −15.3557 | + | 13.2513i | −0.609854 | + | 0.526277i | ||||
\(635\) | −5.96278 | + | 4.57541i | −0.236626 | + | 0.181569i | ||||
\(636\) | −39.4976 | − | 17.1040i | −1.56618 | − | 0.678216i | ||||
\(637\) | 14.8094 | + | 11.0970i | 0.586770 | + | 0.439679i | ||||
\(638\) | −3.01030 | − | 0.623800i | −0.119179 | − | 0.0246965i | ||||
\(639\) | 0.292504 | − | 0.506632i | 0.0115713 | − | 0.0200421i | ||||
\(640\) | −24.7315 | + | 6.88162i | −0.977598 | + | 0.272020i | ||||
\(641\) | −0.491952 | − | 0.852086i | −0.0194309 | − | 0.0336554i | 0.856146 | − | 0.516733i | \(-0.172852\pi\) |
−0.875577 | + | 0.483078i | \(0.839519\pi\) | |||||||
\(642\) | −13.7934 | + | 15.4775i | −0.544383 | + | 0.610847i | ||||
\(643\) | 5.00573 | + | 12.0849i | 0.197407 | + | 0.476582i | 0.991324 | − | 0.131444i | \(-0.0419615\pi\) |
−0.793917 | + | 0.608026i | \(0.791961\pi\) | |||||||
\(644\) | −1.19823 | − | 0.170255i | −0.0472167 | − | 0.00670898i | ||||
\(645\) | 36.4852 | + | 15.1127i | 1.43660 | + | 0.595061i | ||||
\(646\) | −0.396436 | − | 0.138110i | −0.0155976 | − | 0.00543385i | ||||
\(647\) | −0.519900 | + | 1.94029i | −0.0204394 | + | 0.0762808i | −0.975392 | − | 0.220477i | \(-0.929239\pi\) |
0.954953 | + | 0.296758i | \(0.0959053\pi\) | |||||||
\(648\) | 24.8891 | + | 2.23079i | 0.977735 | + | 0.0876336i | ||||
\(649\) | 2.14447 | + | 8.00327i | 0.0841778 | + | 0.314156i | ||||
\(650\) | 0.459053 | + | 0.312057i | 0.0180055 | + | 0.0122399i | ||||
\(651\) | −33.7994 | − | 25.6296i | −1.32470 | − | 1.00450i | ||||
\(652\) | −0.331919 | + | 20.7947i | −0.0129990 | + | 0.814385i | ||||
\(653\) | −4.87594 | + | 37.0365i | −0.190810 | + | 1.44935i | 0.581211 | + | 0.813753i | \(0.302579\pi\) |
−0.772022 | + | 0.635596i | \(0.780754\pi\) | |||||||
\(654\) | −7.49909 | + | 14.9056i | −0.293238 | + | 0.582855i | ||||
\(655\) | 7.79090 | − | 4.49808i | 0.304416 | − | 0.175754i | ||||
\(656\) | −5.41169 | + | 8.71834i | −0.211291 | + | 0.340394i | ||||
\(657\) | 0.0430919i | 0.00168118i | ||||||||
\(658\) | −21.8242 | − | 4.39250i | −0.850797 | − | 0.171238i | ||||
\(659\) | −1.18124 | + | 0.489288i | −0.0460148 | + | 0.0190599i | −0.405572 | − | 0.914063i | \(-0.632928\pi\) |
0.359557 | + | 0.933123i | \(0.382928\pi\) | |||||||
\(660\) | −7.16888 | + | 1.79878i | −0.279048 | + | 0.0700172i | ||||
\(661\) | −26.5473 | + | 3.49502i | −1.03257 | + | 0.135940i | −0.627717 | − | 0.778441i | \(-0.716011\pi\) |
−0.404853 | + | 0.914382i | \(0.632677\pi\) | |||||||
\(662\) | −22.3772 | − | 1.64612i | −0.869713 | − | 0.0639781i | ||||
\(663\) | 0.0589730 | + | 0.220090i | 0.00229032 | + | 0.00854760i | ||||
\(664\) | −38.9028 | − | 8.71128i | −1.50972 | − | 0.338063i | ||||
\(665\) | 0.202840 | + | 35.4875i | 0.00786581 | + | 1.37615i | ||||
\(666\) | −0.446614 | + | 0.0851378i | −0.0173059 | + | 0.00329902i | ||||
\(667\) | −0.415683 | + | 0.318965i | −0.0160953 | + | 0.0123504i | ||||
\(668\) | −10.9249 | + | 13.7767i | −0.422698 | + | 0.533036i | ||||
\(669\) | 6.09609 | − | 7.94458i | 0.235689 | − | 0.307155i | ||||
\(670\) | 18.7010 | + | 16.6662i | 0.722482 | + | 0.643872i | ||||
\(671\) | 1.71110 | 0.0660561 | ||||||||
\(672\) | −2.55522 | + | 25.5609i | −0.0985698 | + | 0.986034i | ||||
\(673\) | −32.0683 | −1.23614 | −0.618072 | − | 0.786122i | \(-0.712086\pi\) | ||||
−0.618072 | + | 0.786122i | \(0.712086\pi\) | |||||||
\(674\) | −8.57636 | − | 7.64320i | −0.330349 | − | 0.294405i | ||||
\(675\) | −0.473768 | + | 0.617426i | −0.0182353 | + | 0.0237648i | ||||
\(676\) | 9.41966 | + | 7.46980i | 0.362294 | + | 0.287300i | ||||
\(677\) | −1.13981 | + | 0.874607i | −0.0438065 | + | 0.0336139i | −0.630433 | − | 0.776244i | \(-0.717122\pi\) |
0.586626 | + | 0.809858i | \(0.300456\pi\) | |||||||
\(678\) | −40.7915 | + | 7.77606i | −1.56659 | + | 0.298638i | ||||
\(679\) | 41.7328 | + | 23.7774i | 1.60156 | + | 0.912494i | ||||
\(680\) | 0.272168 | − | 0.172578i | 0.0104372 | − | 0.00661808i | ||||
\(681\) | −0.228454 | − | 0.852602i | −0.00875438 | − | 0.0326718i | ||||
\(682\) | 12.5014 | + | 0.919634i | 0.478705 | + | 0.0352146i | ||||
\(683\) | −0.311033 | + | 0.0409483i | −0.0119014 | + | 0.00156684i | −0.136475 | − | 0.990644i | \(-0.543577\pi\) |
0.124573 | + | 0.992210i | \(0.460244\pi\) | |||||||
\(684\) | 0.155555 | + | 0.619951i | 0.00594778 | + | 0.0237044i | ||||
\(685\) | 21.7771 | − | 9.02038i | 0.832061 | − | 0.344651i | ||||
\(686\) | −19.8494 | − | 17.0881i | −0.757852 | − | 0.652426i | ||||
\(687\) | − | 26.4837i | − | 1.01042i | ||||||
\(688\) | −6.57505 | + | 40.0248i | −0.250672 | + | 1.52593i | ||||
\(689\) | −28.7070 | + | 16.5740i | −1.09365 | + | 0.631419i | ||||
\(690\) | −0.566147 | + | 1.12530i | −0.0215529 | + | 0.0428396i | ||||
\(691\) | 2.08532 | − | 15.8396i | 0.0793294 | − | 0.602566i | −0.904894 | − | 0.425637i | \(-0.860050\pi\) |
0.984223 | − | 0.176930i | \(-0.0566165\pi\) | |||||||
\(692\) | 11.9279 | + | 0.190389i | 0.453431 | + | 0.00723752i | ||||
\(693\) | 0.0169466 | − | 0.134666i | 0.000643748 | − | 0.00511553i | ||||
\(694\) | −20.1768 | − | 13.7158i | −0.765900 | − | 0.520646i | ||||
\(695\) | −1.10797 | − | 4.13501i | −0.0420278 | − | 0.156850i | ||||
\(696\) | 7.13048 | + | 8.53453i | 0.270280 | + | 0.323500i | ||||
\(697\) | 0.0333410 | − | 0.124430i | 0.00126288 | − | 0.00471314i | ||||
\(698\) | −0.960414 | − | 0.334587i | −0.0363522 | − | 0.0126643i | ||||
\(699\) | 34.8557 | + | 14.4377i | 1.31836 | + | 0.546084i | ||||
\(700\) | −0.618336 | − | 0.484610i | −0.0233709 | − | 0.0183165i | ||||
\(701\) | 15.4207 | + | 37.2289i | 0.582433 | + | 1.40612i | 0.890601 | + | 0.454785i | \(0.150284\pi\) |
−0.308168 | + | 0.951332i | \(0.599716\pi\) | |||||||
\(702\) | 13.0391 | − | 14.6310i | 0.492127 | − | 0.552211i | ||||
\(703\) | 17.5769 | + | 30.4441i | 0.662925 | + | 1.14822i | ||||
\(704\) | −3.47666 | − | 6.74843i | −0.131032 | − | 0.254341i | ||||
\(705\) | −11.5856 | + | 20.0668i | −0.436339 | + | 0.755761i | ||||
\(706\) | 28.2576 | + | 5.85558i | 1.06349 | + | 0.220378i | ||||
\(707\) | 6.25455 | − | 15.3474i | 0.235227 | − | 0.577197i | ||||
\(708\) | 11.9108 | − | 27.5053i | 0.447636 | − | 1.03371i | ||||
\(709\) | 2.50969 | − | 1.92575i | 0.0942533 | − | 0.0723231i | −0.560560 | − | 0.828114i | \(-0.689414\pi\) |
0.654813 | + | 0.755791i | \(0.272747\pi\) | |||||||
\(710\) | 26.2885 | − | 22.6858i | 0.986589 | − | 0.851383i | ||||
\(711\) | 0.170953 | − | 0.638005i | 0.00641124 | − | 0.0239271i | ||||
\(712\) | −5.72962 | − | 2.09920i | −0.214727 | − | 0.0786710i | ||||
\(713\) | 1.51068 | − | 1.51068i | 0.0565755 | − | 0.0565755i | ||||
\(714\) | −0.0621979 | − | 0.316433i | −0.00232770 | − | 0.0118422i | ||||
\(715\) | −2.17829 | + | 5.25885i | −0.0814634 | + | 0.196670i | ||||
\(716\) | −13.5155 | + | 22.5699i | −0.505099 | + | 0.843476i | ||||
\(717\) | −37.0915 | − | 28.4613i | −1.38521 | − | 1.06291i | ||||
\(718\) | 7.65925 | − | 15.2239i | 0.285840 | − | 0.568152i | ||||
\(719\) | −18.2626 | − | 10.5439i | −0.681082 | − | 0.393223i | 0.119181 | − | 0.992873i | \(-0.461973\pi\) |
−0.800262 | + | 0.599650i | \(0.795307\pi\) | |||||||
\(720\) | −0.447097 | − | 0.202144i | −0.0166623 | − | 0.00753345i | ||||
\(721\) | −1.08010 | − | 0.282804i | −0.0402249 | − | 0.0105322i | ||||
\(722\) | 18.8491 | − | 12.3782i | 0.701492 | − | 0.460667i | ||||
\(723\) | 6.06209 | − | 46.0462i | 0.225452 | − | 1.71248i | ||||
\(724\) | 46.7515 | + | 13.3303i | 1.73751 | + | 0.495416i | ||||
\(725\) | −0.337205 | + | 0.0443939i | −0.0125235 | + | 0.00164875i | ||||
\(726\) | 10.6668 | + | 22.0725i | 0.395883 | + | 0.819188i | ||||
\(727\) | 1.49231 | − | 1.49231i | 0.0553467 | − | 0.0553467i | −0.678892 | − | 0.734238i | \(-0.737539\pi\) |
0.734238 | + | 0.678892i | \(0.237539\pi\) | |||||||
\(728\) | 14.6338 | + | 13.3130i | 0.542365 | + | 0.493414i | ||||
\(729\) | 19.4234 | + | 19.4234i | 0.719386 | + | 0.719386i | ||||
\(730\) | −0.841465 | + | 2.41538i | −0.0311440 | + | 0.0893971i | ||||
\(731\) | −0.0664639 | − | 0.504844i | −0.00245826 | − | 0.0186723i | ||||
\(732\) | −4.85005 | − | 3.84610i | −0.179263 | − | 0.142156i | ||||
\(733\) | −16.1713 | − | 2.12900i | −0.597302 | − | 0.0786363i | −0.174187 | − | 0.984713i | \(-0.555730\pi\) |
−0.423114 | + | 0.906076i | \(0.639063\pi\) | |||||||
\(734\) | −6.74713 | + | 32.5600i | −0.249041 | + | 1.20181i | ||||
\(735\) | −23.4517 | + | 13.8997i | −0.865031 | + | 0.512699i | ||||
\(736\) | −1.25788 | − | 0.302831i | −0.0463662 | − | 0.0111625i | ||||
\(737\) | −3.70380 | + | 6.41518i | −0.136431 | + | 0.236306i | ||||
\(738\) | −0.186222 | + | 0.0615609i | −0.00685492 | + | 0.00226609i | ||||
\(739\) | 17.8434 | − | 23.2540i | 0.656380 | − | 0.855412i | −0.339999 | − | 0.940426i | \(-0.610427\pi\) |
0.996380 | + | 0.0850140i | \(0.0270935\pi\) | |||||||
\(740\) | −26.6960 | − | 3.94900i | −0.981364 | − | 0.145168i | ||||
\(741\) | −24.7816 | − | 10.2649i | −0.910376 | − | 0.377090i | ||||
\(742\) | 42.1238 | − | 20.6547i | 1.54642 | − | 0.758259i | ||||
\(743\) | 22.4851 | + | 22.4851i | 0.824899 | + | 0.824899i | 0.986806 | − | 0.161907i | \(-0.0517644\pi\) |
−0.161907 | + | 0.986806i | \(0.551764\pi\) | |||||||
\(744\) | −33.3679 | − | 30.7067i | −1.22333 | − | 1.12576i | ||||
\(745\) | 38.1539 | + | 10.2233i | 1.39785 | + | 0.374553i | ||||
\(746\) | 17.2780 | + | 1.27101i | 0.632594 | + | 0.0465350i | ||||
\(747\) | −0.463872 | − | 0.604530i | −0.0169722 | − | 0.0221186i | ||||
\(748\) | 0.0663037 | + | 0.0684547i | 0.00242430 | + | 0.00250295i | ||||
\(749\) | −3.07758 | − | 22.3870i | −0.112452 | − | 0.818003i | ||||
\(750\) | 22.3351 | − | 14.6674i | 0.815561 | − | 0.535576i | ||||
\(751\) | 26.9574 | + | 15.5639i | 0.983690 | + | 0.567934i | 0.903382 | − | 0.428837i | \(-0.141076\pi\) |
0.0803077 | + | 0.996770i | \(0.474410\pi\) | |||||||
\(752\) | −22.7797 | − | 6.89015i | −0.830691 | − | 0.251258i | ||||
\(753\) | 24.8624 | − | 14.3543i | 0.906034 | − | 0.523099i | ||||
\(754\) | 8.55070 | − | 0.491948i | 0.311398 | − | 0.0179157i | ||||
\(755\) | 1.24097 | − | 0.514028i | 0.0451637 | − | 0.0187074i | ||||
\(756\) | −19.8133 | + | 19.4115i | −0.720604 | + | 0.705989i | ||||
\(757\) | 1.79118 | − | 4.32429i | 0.0651016 | − | 0.157169i | −0.887980 | − | 0.459881i | \(-0.847892\pi\) |
0.953082 | + | 0.302712i | \(0.0978920\pi\) | |||||||
\(758\) | −32.1401 | + | 15.5321i | −1.16738 | + | 0.564152i | ||||
\(759\) | −0.359819 | − | 0.0964132i | −0.0130606 | − | 0.00349958i | ||||
\(760\) | −3.38681 | + | 37.7869i | −0.122852 | + | 1.37067i | ||||
\(761\) | 21.0021 | − | 5.62750i | 0.761326 | − | 0.203997i | 0.142790 | − | 0.989753i | \(-0.454393\pi\) |
0.618536 | + | 0.785756i | \(0.287726\pi\) | |||||||
\(762\) | 1.50560 | + | 7.89804i | 0.0545421 | + | 0.286116i | ||||
\(763\) | −7.05589 | − | 16.7628i | −0.255440 | − | 0.606853i | ||||
\(764\) | −44.9816 | − | 19.4788i | −1.62738 | − | 0.704717i | ||||
\(765\) | 0.00610711 | 0.000804016i | 0.000220803 | 2.90693e-5i | ||||||
\(766\) | 11.6926 | + | 35.3701i | 0.422471 | + | 1.27798i | ||||
\(767\) | −11.5418 | − | 19.9909i | −0.416750 | − | 0.721831i | ||||
\(768\) | −5.31424 | + | 26.9429i | −0.191761 | + | 0.972218i | ||||
\(769\) | −36.3367 | −1.31033 | −0.655167 | − | 0.755484i | \(-0.727402\pi\) | ||||
−0.655167 | + | 0.755484i | \(0.727402\pi\) | |||||||
\(770\) | 3.57953 | − | 7.21732i | 0.128997 | − | 0.260094i | ||||
\(771\) | −2.21019 | − | 5.33587i | −0.0795981 | − | 0.192167i | ||||
\(772\) | −23.2648 | + | 17.2689i | −0.837320 | + | 0.621521i | ||||
\(773\) | 4.61541 | + | 35.0575i | 0.166005 | + | 1.26093i | 0.848167 | + | 0.529730i | \(0.177707\pi\) |
−0.682162 | + | 0.731201i | \(0.738960\pi\) | |||||||
\(774\) | −0.586945 | + | 0.506508i | −0.0210973 | + | 0.0182061i | ||||
\(775\) | 1.33956 | − | 0.358933i | 0.0481183 | − | 0.0128932i | ||||
\(776\) | 41.9987 | + | 29.5409i | 1.50767 | + | 1.06046i | ||||
\(777\) | −13.3684 | + | 23.4635i | −0.479589 | + | 0.841748i | ||||
\(778\) | 7.91825 | + | 5.38270i | 0.283883 | + | 0.192979i | ||||
\(779\) | 9.23182 | + | 12.0311i | 0.330764 | + | 0.431061i | ||||
\(780\) | 17.9948 | − | 10.0099i | 0.644319 | − | 0.358410i | ||||
\(781\) | 8.14641 | + | 6.25096i | 0.291502 | + | 0.223677i | ||||
\(782\) | 0.0162157 | 0.000932936i | 0.000579871 | 3.33617e-5i | ||||||
\(783\) | 12.0084i | 0.429146i | ||||||||
\(784\) | −19.3892 | − | 20.2005i | −0.692471 | − | 0.721445i | ||||
\(785\) | − | 46.4194i | − | 1.65678i | ||||||
\(786\) | −0.552770 | − | 9.60787i | −0.0197167 | − | 0.342701i | ||||
\(787\) | −34.4340 | − | 26.4222i | −1.22744 | − | 0.941848i | −0.227947 | − | 0.973673i | \(-0.573201\pi\) |
−0.999493 | + | 0.0318250i | \(0.989868\pi\) | |||||||
\(788\) | 14.2836 | − | 50.0951i | 0.508833 | − | 1.78456i | ||||
\(789\) | −19.0735 | − | 24.8571i | −0.679034 | − | 0.884935i | ||||
\(790\) | 22.0407 | − | 32.4231i | 0.784172 | − | 1.15356i | ||||
\(791\) | 22.4071 | − | 39.3276i | 0.796703 | − | 1.39833i | ||||
\(792\) | 0.0317060 | − | 0.141593i | 0.00112662 | − | 0.00503128i | ||||
\(793\) | −4.60466 | + | 1.23381i | −0.163516 | + | 0.0438140i | ||||
\(794\) | −14.3188 | − | 16.5928i | −0.508156 | − | 0.588855i | ||||
\(795\) | −6.37379 | − | 48.4138i | −0.226055 | − | 1.71706i | ||||
\(796\) | −23.9434 | − | 3.54183i | −0.848652 | − | 0.125537i | ||||
\(797\) | −9.23619 | − | 22.2981i | −0.327163 | − | 0.789841i | −0.998801 | − | 0.0489611i | \(-0.984409\pi\) |
0.671638 | − | 0.740879i | \(-0.265591\pi\) | |||||||
\(798\) | 34.0107 | + | 16.8680i | 1.20396 | + | 0.597122i | ||||
\(799\) | 0.298769 | 0.0105697 | ||||||||
\(800\) | −0.608844 | − | 0.578502i | −0.0215259 | − | 0.0204531i | ||||
\(801\) | −0.0583167 | − | 0.101008i | −0.00206052 | − | 0.00356893i | ||||
\(802\) | 2.79938 | − | 0.925413i | 0.0988494 | − | 0.0326775i | ||||
\(803\) | −0.749898 | − | 0.0987260i | −0.0264633 | − | 0.00348397i | ||||
\(804\) | 24.9180 | − | 9.85845i | 0.878790 | − | 0.347681i | ||||
\(805\) | −0.532687 | − | 1.26551i | −0.0187748 | − | 0.0446035i | ||||
\(806\) | −34.3052 | + | 6.53958i | −1.20835 | + | 0.230347i | ||||
\(807\) | −11.1822 | + | 2.99627i | −0.393633 | + | 0.105474i | ||||
\(808\) | 8.21424 | − | 15.6979i | 0.288976 | − | 0.552250i | ||||
\(809\) | 29.1859 | + | 7.82034i | 1.02612 | + | 0.274949i | 0.732351 | − | 0.680927i | \(-0.238423\pi\) |
0.293771 | + | 0.955876i | \(0.405090\pi\) | |||||||
\(810\) | 12.3356 | + | 25.5257i | 0.433430 | + | 0.896882i | ||||
\(811\) | −3.30832 | + | 7.98700i | −0.116171 | + | 0.280461i | −0.971261 | − | 0.238019i | \(-0.923502\pi\) |
0.855090 | + | 0.518480i | \(0.173502\pi\) | |||||||
\(812\) | −12.1214 | − | 0.124183i | −0.425377 | − | 0.00435797i | ||||
\(813\) | −15.1884 | + | 6.29126i | −0.532682 | + | 0.220644i | ||||
\(814\) | −0.458375 | − | 7.96716i | −0.0160660 | − | 0.279249i | ||||
\(815\) | −20.4338 | + | 11.7974i | −0.715764 | + | 0.413246i | ||||
\(816\) | −0.0340677 | − | 0.343066i | −0.00119261 | − | 0.0120097i | ||||
\(817\) | 51.9130 | + | 29.9720i | 1.81621 | + | 1.04859i | ||||
\(818\) | 13.5459 | + | 20.6273i | 0.473621 | + | 0.721217i | ||||
\(819\) | 0.0514987 | + | 0.374613i | 0.00179951 | + | 0.0130900i | ||||
\(820\) | −11.6402 | − | 0.185797i | −0.406492 | − | 0.00648831i | ||||
\(821\) | −17.9919 | − | 23.4475i | −0.627921 | − | 0.818323i | 0.365743 | − | 0.930716i | \(-0.380815\pi\) |
−0.993664 | + | 0.112393i | \(0.964148\pi\) | |||||||
\(822\) | 1.84993 | − | 25.1479i | 0.0645238 | − | 0.877132i | ||||
\(823\) | −9.85062 | − | 2.63947i | −0.343371 | − | 0.0920060i | 0.0830124 | − | 0.996549i | \(-0.473546\pi\) |
−0.426383 | + | 0.904543i | \(0.640213\pi\) | |||||||
\(824\) | −1.12074 | − | 0.410615i | −0.0390430 | − | 0.0143045i | ||||
\(825\) | −0.170984 | − | 0.170984i | −0.00595289 | − | 0.00595289i | ||||
\(826\) | 14.3835 | + | 29.3341i | 0.500466 | + | 1.02067i | ||||
\(827\) | −36.1787 | − | 14.9857i | −1.25806 | − | 0.521105i | −0.348745 | − | 0.937218i | \(-0.613392\pi\) |
−0.909313 | + | 0.416113i | \(0.863392\pi\) | |||||||
\(828\) | −0.0147395 | − | 0.0198572i | −0.000512234 | − | 0.000690087i | ||||
\(829\) | 16.5305 | − | 21.5430i | 0.574129 | − | 0.748220i | −0.412544 | − | 0.910938i | \(-0.635360\pi\) |
0.986673 | + | 0.162718i | \(0.0520262\pi\) | |||||||
\(830\) | −14.1961 | − | 42.9431i | −0.492752 | − | 1.49058i | ||||
\(831\) | 11.2122 | − | 19.4201i | 0.388946 | − | 0.673675i | ||||
\(832\) | 14.2220 | + | 15.6535i | 0.493058 | + | 0.542688i | ||||
\(833\) | 0.306404 | + | 0.172263i | 0.0106163 | + | 0.00596855i | ||||
\(834\) | −4.48426 | − | 0.929236i | −0.155277 | − | 0.0321768i | ||||
\(835\) | −19.7771 | − | 2.60371i | −0.684415 | − | 0.0901050i | ||||
\(836\) | −11.1450 | + | 1.28667i | −0.385456 | + | 0.0445002i | ||||
\(837\) | −6.39110 | − | 48.5452i | −0.220909 | − | 1.67797i | ||||
\(838\) | 6.45727 | + | 2.24957i | 0.223063 | + | 0.0777102i | ||||
\(839\) | 28.0292 | + | 28.0292i | 0.967677 | + | 0.967677i | 0.999494 | − | 0.0318170i | \(-0.0101294\pi\) |
−0.0318170 | + | 0.999494i | \(0.510129\pi\) | |||||||
\(840\) | −26.3688 | + | 12.4115i | −0.909809 | + | 0.428236i | ||||
\(841\) | 16.7952 | − | 16.7952i | 0.579145 | − | 0.579145i | ||||
\(842\) | 26.9095 | − | 13.0044i | 0.927361 | − | 0.448160i | ||||
\(843\) | −15.7601 | + | 2.07486i | −0.542807 | + | 0.0714619i | ||||
\(844\) | −10.2385 | − | 18.4059i | −0.352423 | − | 0.633556i | ||||
\(845\) | −1.78026 | + | 13.5224i | −0.0612427 | + | 0.465184i | ||||
\(846\) | −0.249695 | − | 0.380229i | −0.00858470 | − | 0.0130726i | ||||
\(847\) | −25.8495 | − | 6.76824i | −0.888200 | − | 0.232560i | ||||
\(848\) | 46.9256 | − | 17.7047i | 1.61143 | − | 0.607980i | ||||
\(849\) | 21.5359 | + | 12.4338i | 0.739110 | + | 0.426725i | ||||
\(850\) | 0.00941859 | + | 0.00473854i | 0.000323055 | + | 0.000162531i | ||||
\(851\) | −1.07906 | − | 0.827988i | −0.0369895 | − | 0.0283831i | ||||
\(852\) | −9.04025 | − | 36.0292i | −0.309714 | − | 1.23434i | ||||
\(853\) | −1.68705 | + | 4.07290i | −0.0577635 | + | 0.139453i | −0.950126 | − | 0.311865i | \(-0.899046\pi\) |
0.892363 | + | 0.451319i | \(0.149046\pi\) | |||||||
\(854\) | 6.62030 | − | 1.30128i | 0.226542 | − | 0.0445290i | ||||
\(855\) | −0.512755 | + | 0.512755i | −0.0175358 | + | 0.0175358i | ||||
\(856\) | −1.00249 | − | 24.1370i | −0.0342642 | − | 0.824985i | ||||
\(857\) | 5.73079 | − | 21.3876i | 0.195760 | − | 0.730586i | −0.796309 | − | 0.604890i | \(-0.793217\pi\) |
0.992069 | − | 0.125696i | \(-0.0401164\pi\) | |||||||
\(858\) | 3.97826 | + | 4.61003i | 0.135815 | + | 0.157384i | ||||
\(859\) | 2.05759 | − | 1.57885i | 0.0702042 | − | 0.0538696i | −0.573063 | − | 0.819511i | \(-0.694245\pi\) |
0.643267 | + | 0.765642i | \(0.277578\pi\) | |||||||
\(860\) | −42.7900 | + | 16.9293i | −1.45913 | + | 0.577283i | ||||
\(861\) | −4.39647 | + | 10.7880i | −0.149831 | + | 0.367655i | ||||
\(862\) | −1.95881 | + | 9.45271i | −0.0667172 | + | 0.321961i | ||||
\(863\) | −0.598235 | + | 1.03617i | −0.0203642 | + | 0.0352718i | −0.876028 | − | 0.482260i | \(-0.839816\pi\) |
0.855664 | + | 0.517532i | \(0.173149\pi\) | |||||||
\(864\) | −23.0563 | + | 18.6465i | −0.784390 | + | 0.634368i | ||||
\(865\) | 6.76703 | + | 11.7208i | 0.230086 | + | 0.398520i | ||||
\(866\) | 6.03922 | + | 5.38212i | 0.205221 | + | 0.182892i | ||||
\(867\) | −11.1644 | − | 26.9533i | −0.379163 | − | 0.915381i | ||||
\(868\) | 49.0680 | − | 5.94920i | 1.66548 | − | 0.201929i | ||||
\(869\) | 10.7111 | + | 4.43668i | 0.363349 | + | 0.150504i | ||||
\(870\) | −4.15087 | + | 11.9148i | −0.140728 | + | 0.403951i | ||||
\(871\) | 5.34138 | − | 19.9343i | 0.180986 | − | 0.675448i | ||||
\(872\) | −5.80722 | − | 18.5555i | −0.196657 | − | 0.628368i | ||||
\(873\) | 0.254016 | + | 0.948000i | 0.00859714 | + | 0.0320850i | ||||
\(874\) | −1.07496 | + | 1.58132i | −0.0363609 | + | 0.0534890i | ||||
\(875\) | −3.63648 | + | 28.8972i | −0.122935 | + | 0.976902i | ||||
\(876\) | 1.90366 | + | 1.96541i | 0.0643186 | + | 0.0664052i | ||||
\(877\) | −1.08659 | + | 8.25344i | −0.0366914 | + | 0.278699i | 0.963257 | + | 0.268580i | \(0.0865544\pi\) |
−0.999949 | + | 0.0101190i | \(0.996779\pi\) | |||||||
\(878\) | 39.8575 | + | 20.0525i | 1.34512 | + | 0.676740i | ||||
\(879\) | −4.60308 | + | 2.65759i | −0.155258 | + | 0.0896382i | ||||
\(880\) | 4.54209 | − | 7.31738i | 0.153114 | − | 0.246669i | ||||
\(881\) | − | 44.7478i | − | 1.50759i | −0.657108 | − | 0.753797i | \(-0.728220\pi\) | ||
0.657108 | − | 0.753797i | \(-0.271780\pi\) | |||||||
\(882\) | −0.0368457 | − | 0.533915i | −0.00124066 | − | 0.0179779i | ||||
\(883\) | 42.5710 | − | 17.6335i | 1.43263 | − | 0.593414i | 0.474629 | − | 0.880186i | \(-0.342582\pi\) |
0.957999 | + | 0.286772i | \(0.0925823\pi\) | |||||||
\(884\) | −0.227787 | − | 0.136406i | −0.00766132 | − | 0.00458783i | ||||
\(885\) | 33.7143 | − | 4.43857i | 1.13329 | − | 0.149201i | ||||
\(886\) | 1.37124 | − | 18.6405i | 0.0460677 | − | 0.626240i | ||||
\(887\) | 11.7135 | + | 43.7152i | 0.393299 | + | 1.46781i | 0.824657 | + | 0.565633i | \(0.191368\pi\) |
−0.431358 | + | 0.902181i | \(0.641965\pi\) | |||||||
\(888\) | −16.6089 | + | 23.6130i | −0.557357 | + | 0.792401i | ||||
\(889\) | −7.61460 | − | 4.33845i | −0.255385 | − | 0.145507i | ||||
\(890\) | −1.29636 | − | 6.80041i | −0.0434540 | − | 0.227950i | ||||
\(891\) | −6.65115 | + | 5.10361i | −0.222822 | + | 0.170977i | ||||
\(892\) | 1.33824 | + | 11.5917i | 0.0448077 | + | 0.388119i | ||||
\(893\) | −21.4111 | + | 27.9035i | −0.716496 | + | 0.933755i | ||||
\(894\) | 28.1136 | − | 31.5460i | 0.940259 | − | 1.05506i | ||||
\(895\) | −29.8458 | −0.997636 | ||||||||
\(896\) | −18.5835 | − | 23.4660i | −0.620831 | − | 0.783944i | ||||
\(897\) | 1.03781 | 0.0346516 | ||||||||
\(898\) | 11.7775 | − | 13.2155i | 0.393022 | − | 0.441006i | ||||
\(899\) | 13.0266 | − | 16.9766i | 0.434462 | − | 0.566202i | ||||
\(900\) | −0.00184103 | − | 0.0159468i | −6.13678e−5 | − | 0.000531562i | ||||
\(901\) | −0.499521 | + | 0.383296i | −0.0166414 | + | 0.0127694i | ||||
\(902\) | −0.644657 | − | 3.38173i | −0.0214647 | − | 0.112599i | ||||
\(903\) | 0.263198 | + | 46.0474i | 0.00875870 | + | 1.53236i | ||||
\(904\) | 27.8384 | − | 39.5782i | 0.925892 | − | 1.31635i | ||||
\(905\) | 14.2749 | + | 53.2747i | 0.474514 | + | 1.77091i | ||||
\(906\) | 0.105419 | − | 1.43306i | 0.00350231 | − | 0.0476101i | ||||
\(907\) | 21.4541 | − | 2.82449i | 0.712372 | − | 0.0937856i | 0.234374 | − | 0.972146i | \(-0.424696\pi\) |
0.477998 | + | 0.878361i | \(0.341363\pi\) | |||||||
\(908\) | 0.882420 | + | 0.528420i | 0.0292841 | + | 0.0175362i | ||||
\(909\) | 0.312864 | − | 0.129592i | 0.0103770 | − | 0.00429831i | ||||
\(910\) | −4.42855 | + | 22.0033i | −0.146805 | + | 0.729403i | ||||
\(911\) | 36.0398i | 1.19405i | 0.802222 | + | 0.597026i | \(0.203651\pi\) | ||||
−0.802222 | + | 0.597026i | \(0.796349\pi\) | |||||||
\(912\) | 34.4822 | + | 21.4040i | 1.14182 | + | 0.708756i | ||||
\(913\) | 11.5830 | − | 6.68743i | 0.383340 | − | 0.221322i | ||||
\(914\) | 41.5158 | + | 20.8868i | 1.37322 | + | 0.690874i | ||||
\(915\) | 0.916630 | − | 6.96249i | 0.0303028 | − | 0.230173i | ||||
\(916\) | 21.4703 | + | 22.1668i | 0.709399 | + | 0.732413i | ||||
\(917\) | 8.35848 | + | 6.33811i | 0.276021 | + | 0.209303i | ||||
\(918\) | 0.209278 | − | 0.307859i | 0.00690720 | − | 0.0101609i | ||||
\(919\) | −10.4994 | − | 39.1843i | −0.346344 | − | 1.29257i | −0.891035 | − | 0.453935i | \(-0.850020\pi\) |
0.544691 | − | 0.838637i | \(-0.316647\pi\) | |||||||
\(920\) | −0.438419 | − | 1.40085i | −0.0144542 | − | 0.0461848i | ||||
\(921\) | −2.51083 | + | 9.37053i | −0.0827345 | + | 0.308769i | ||||
\(922\) | 1.05007 | − | 3.01416i | 0.0345822 | − | 0.0992662i | ||||
\(923\) | −26.4298 | − | 10.9476i | −0.869948 | − | 0.360344i | ||||
\(924\) | −5.17614 | − | 6.89071i | −0.170283 | − | 0.226688i | ||||
\(925\) | −0.337867 | − | 0.815683i | −0.0111090 | − | 0.0268195i | ||||
\(926\) | −4.98259 | − | 4.44045i | −0.163738 | − | 0.145922i | ||||
\(927\) | −0.0114071 | − | 0.0197576i | −0.000374657 | − | 0.000648924i | ||||
\(928\) | −12.8871 | − | 1.36272i | −0.423041 | − | 0.0447333i | ||||
\(929\) | −13.6580 | + | 23.6564i | −0.448106 | + | 0.776142i | −0.998263 | − | 0.0589191i | \(-0.981235\pi\) |
0.550157 | + | 0.835061i | \(0.314568\pi\) | |||||||
\(930\) | 10.4390 | − | 50.3760i | 0.342308 | − | 1.65190i | ||||
\(931\) | −38.0468 | + | 16.2715i | −1.24693 | + | 0.533277i | ||||
\(932\) | −40.8788 | + | 16.1731i | −1.33903 | + | 0.529769i | ||||
\(933\) | −9.88659 | + | 7.58625i | −0.323673 | + | 0.248363i | ||||
\(934\) | −30.2850 | − | 35.0945i | −0.990955 | − | 1.14833i | ||||
\(935\) | −0.0279835 | + | 0.104436i | −0.000915157 | + | 0.00341541i | ||||
\(936\) | 0.0167751 | + | 0.403896i | 0.000548311 | + | 0.0132018i | ||||
\(937\) | 39.8612 | − | 39.8612i | 1.30221 | − | 1.30221i | 0.375311 | − | 0.926899i | \(-0.377536\pi\) |
0.926899 | − | 0.375311i | \(-0.122464\pi\) | |||||||
\(938\) | −9.45146 | + | 27.6373i | −0.308601 | + | 0.902391i | ||||
\(939\) | 1.92764 | − | 4.65374i | 0.0629062 | − | 0.151869i | ||||
\(940\) | −6.57104 | − | 26.1884i | −0.214324 | − | 0.854170i | ||||
\(941\) | −8.87982 | − | 6.81373i | −0.289474 | − | 0.222121i | 0.453808 | − | 0.891100i | \(-0.350065\pi\) |
−0.743282 | + | 0.668978i | \(0.766732\pi\) | |||||||
\(942\) | −44.3600 | − | 22.3178i | −1.44533 | − | 0.727153i | ||||
\(943\) | −0.508132 | − | 0.293370i | −0.0165470 | − | 0.00955344i | ||||
\(944\) | 12.3291 | + | 32.6780i | 0.401279 | + | 1.06358i | ||||
\(945\) | −30.4424 | − | 7.97081i | −0.990291 | − | 0.259290i | ||||
\(946\) | −7.46968 | − | 11.3746i | −0.242860 | − | 0.369821i | ||||
\(947\) | 2.01830 | − | 15.3305i | 0.0655860 | − | 0.498175i | −0.926852 | − | 0.375427i | \(-0.877496\pi\) |
0.992438 | − | 0.122748i | \(-0.0391707\pi\) | |||||||
\(948\) | −20.3878 | − | 36.6514i | −0.662165 | − | 1.19038i | ||||
\(949\) | 2.08921 | − | 0.275049i | 0.0678186 | − | 0.00892848i | ||||
\(950\) | −1.11754 | + | 0.540064i | −0.0362576 | + | 0.0175220i | ||||
\(951\) | −17.4065 | + | 17.4065i | −0.564445 | + | 0.564445i | ||||
\(952\) | 0.308591 | + | 0.214430i | 0.0100015 | + | 0.00694973i | ||||
\(953\) | −36.3082 | − | 36.3082i | −1.17614 | − | 1.17614i | −0.980720 | − | 0.195417i | \(-0.937394\pi\) |
−0.195417 | − | 0.980720i | \(-0.562606\pi\) | |||||||
\(954\) | 0.905277 | + | 0.315379i | 0.0293094 | + | 0.0102108i | ||||
\(955\) | −7.25876 | − | 55.1358i | −0.234888 | − | 1.78415i | ||||
\(956\) | 54.1192 | − | 6.24796i | 1.75034 | − | 0.202073i | ||||
\(957\) | −3.69918 | − | 0.487006i | −0.119578 | − | 0.0157427i | ||||
\(958\) | −40.3287 | − | 8.35699i | −1.30296 | − | 0.270002i | ||||
\(959\) | 19.5456 | + | 19.3234i | 0.631159 | + | 0.623985i | ||||
\(960\) | −29.3220 | + | 10.5315i | −0.946363 | + | 0.339903i | ||||
\(961\) | −28.1261 | + | 48.7158i | −0.907293 | + | 1.57148i | ||||
\(962\) | 6.97837 | + | 21.1096i | 0.224992 | + | 0.680600i | ||||
\(963\) | 0.281093 | − | 0.366328i | 0.00905810 | − | 0.0118047i | ||||
\(964\) | 32.2556 | + | 43.4552i | 1.03888 | + | 1.39960i | ||||
\(965\) | −30.3687 | − | 12.5791i | −0.977603 | − | 0.404936i | ||||
\(966\) | −1.46548 | − | 0.0993857i | −0.0471510 | − | 0.00319768i | ||||
\(967\) | 1.50632 | + | 1.50632i | 0.0484399 | + | 0.0484399i | 0.730912 | − | 0.682472i | \(-0.239095\pi\) |
−0.682472 | + | 0.730912i | \(0.739095\pi\) | |||||||
\(968\) | −26.8223 | − | 9.82709i | −0.862102 | − | 0.315855i | ||||
\(969\) | −0.492139 | − | 0.131868i | −0.0158098 | − | 0.00423622i | ||||
\(970\) | −4.27377 | + | 58.0973i | −0.137222 | + | 1.86539i | ||||
\(971\) | 0.0239539 | + | 0.0312174i | 0.000768718 | + | 0.00100181i | 0.793738 | − | 0.608260i | \(-0.208132\pi\) |
−0.792969 | + | 0.609262i | \(0.791466\pi\) | |||||||
\(972\) | −1.12337 | − | 0.0179310i | −0.0360322 | − | 0.000575136i | ||||
\(973\) | 3.94270 | − | 3.06130i | 0.126397 | − | 0.0981408i | ||||
\(974\) | 7.36710 | + | 11.2184i | 0.236057 | + | 0.359462i | ||||
\(975\) | 0.583417 | + | 0.336836i | 0.0186843 | + | 0.0107874i | ||||
\(976\) | 7.17752 | − | 0.712753i | 0.229747 | − | 0.0228147i | ||||
\(977\) | −29.9664 | + | 17.3011i | −0.958710 | + | 0.553511i | −0.895776 | − | 0.444506i | \(-0.853379\pi\) |
−0.0629341 | + | 0.998018i | \(0.520046\pi\) | |||||||
\(978\) | 1.44979 | + | 25.1993i | 0.0463592 | + | 0.805784i | ||||
\(979\) | 1.89137 | − | 0.783431i | 0.0604484 | − | 0.0250386i | ||||
\(980\) | 8.36061 | − | 30.6464i | 0.267070 | − | 0.978962i | ||||
\(981\) | 0.142216 | − | 0.343340i | 0.00454061 | − | 0.0109620i | ||||
\(982\) | −18.6823 | − | 38.6587i | −0.596177 | − | 1.23365i | ||||
\(983\) | −4.66428 | − | 1.24979i | −0.148767 | − | 0.0398621i | 0.183667 | − | 0.982989i | \(-0.441203\pi\) |
−0.332434 | + | 0.943126i | \(0.607870\pi\) | |||||||
\(984\) | −5.77398 | + | 11.0344i | −0.184068 | + | 0.351765i | ||||
\(985\) | 57.0848 | − | 15.2958i | 1.81887 | − | 0.487366i | ||||
\(986\) | 0.159808 | − | 0.0304640i | 0.00508931 | − | 0.000970173i | ||||
\(987\) | −26.8069 | − | 3.37343i | −0.853273 | − | 0.107378i | ||||
\(988\) | 29.0639 | − | 11.4987i | 0.924647 | − | 0.365824i | ||||
\(989\) | −2.29943 | − | 0.302725i | −0.0731175 | − | 0.00962610i | ||||
\(990\) | 0.156298 | − | 0.0516687i | 0.00496747 | − | 0.00164214i | ||||
\(991\) | 5.73345 | + | 9.93063i | 0.182129 | + | 0.315457i | 0.942605 | − | 0.333909i | \(-0.108368\pi\) |
−0.760476 | + | 0.649366i | \(0.775034\pi\) | |||||||
\(992\) | 52.8228 | − | 1.34986i | 1.67713 | − | 0.0428582i | ||||
\(993\) | −27.2316 | −0.864170 | ||||||||
\(994\) | 36.2727 | + | 17.9899i | 1.15050 | + | 0.570606i | ||||
\(995\) | −10.5084 | − | 25.3694i | −0.333138 | − | 0.804265i | ||||
\(996\) | −47.8632 | − | 7.08017i | −1.51660 | − | 0.224344i | ||||
\(997\) | 5.22587 | + | 39.6944i | 0.165505 | + | 1.25713i | 0.849477 | + | 0.527626i | \(0.176918\pi\) |
−0.683972 | + | 0.729508i | \(0.739749\pi\) | |||||||
\(998\) | 21.2779 | + | 24.6570i | 0.673541 | + | 0.780504i | ||||
\(999\) | −30.1100 | + | 8.06795i | −0.952638 | + | 0.255259i |
(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 | 224.2.bd.a.37.8 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bh.a.625.24 | 240 | |||
7.4 | even | 3 | inner | 224.2.bd.a.165.12 | yes | 240 | |
28.11 | odd | 6 | 896.2.bh.a.753.7 | 240 | |||
32.13 | even | 8 | inner | 224.2.bd.a.205.12 | yes | 240 | |
32.19 | odd | 8 | 896.2.bh.a.401.7 | 240 | |||
224.109 | even | 24 | inner | 224.2.bd.a.109.8 | yes | 240 | |
224.179 | odd | 24 | 896.2.bh.a.529.24 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.109.8 | yes | 240 | 224.109 | even | 24 | inner | |
224.2.bd.a.165.12 | yes | 240 | 7.4 | even | 3 | inner | |
224.2.bd.a.205.12 | yes | 240 | 32.13 | even | 8 | inner | |
896.2.bh.a.401.7 | 240 | 32.19 | odd | 8 | |||
896.2.bh.a.529.24 | 240 | 224.179 | odd | 24 | |||
896.2.bh.a.625.24 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.753.7 | 240 | 28.11 | odd | 6 |