Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 354.25 |
Dual form | 354.2.e.a.85.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{6}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.796093 | + | 0.605174i | 0.562923 | + | 0.427923i | ||||
\(3\) | 0.468408 | + | 0.883512i | 0.270436 | + | 0.510096i | ||||
\(4\) | 0.267528 | + | 0.963550i | 0.133764 | + | 0.481775i | ||||
\(5\) | 2.69226 | + | 2.55024i | 1.20401 | + | 1.14050i | 0.986382 | + | 0.164471i | \(0.0525919\pi\) |
0.217632 | + | 0.976031i | \(0.430167\pi\) | |||||||
\(6\) | −0.161782 | + | 0.986827i | −0.0660472 | + | 0.402870i | ||||
\(7\) | 1.09972 | − | 1.29469i | 0.415654 | − | 0.489346i | −0.513994 | − | 0.857794i | \(-0.671835\pi\) |
0.929649 | + | 0.368448i | \(0.120111\pi\) | |||||||
\(8\) | −0.370138 | + | 0.928977i | −0.130864 | + | 0.328443i | ||||
\(9\) | −0.561187 | + | 0.827689i | −0.187062 | + | 0.275896i | ||||
\(10\) | 0.599947 | + | 3.65951i | 0.189720 | + | 1.15724i | ||||
\(11\) | −1.17064 | − | 0.704350i | −0.352961 | − | 0.212370i | 0.328020 | − | 0.944671i | \(-0.393619\pi\) |
−0.680981 | + | 0.732301i | \(0.738446\pi\) | |||||||
\(12\) | −0.725995 | + | 0.687699i | −0.209577 | + | 0.198522i | ||||
\(13\) | −3.95550 | − | 5.83393i | −1.09706 | − | 1.61804i | −0.723331 | − | 0.690501i | \(-0.757390\pi\) |
−0.373727 | − | 0.927539i | \(-0.621920\pi\) | |||||||
\(14\) | 1.65899 | − | 0.365171i | 0.443384 | − | 0.0975961i | ||||
\(15\) | −0.992093 | + | 3.57320i | −0.256157 | + | 0.922595i | ||||
\(16\) | −0.856857 | + | 0.515554i | −0.214214 | + | 0.128888i | ||||
\(17\) | −2.70596 | − | 3.18570i | −0.656291 | − | 0.772646i | 0.328852 | − | 0.944382i | \(-0.393338\pi\) |
−0.985143 | + | 0.171736i | \(0.945062\pi\) | |||||||
\(18\) | −0.947653 | + | 0.319302i | −0.223364 | + | 0.0752601i | ||||
\(19\) | 1.39322 | − | 0.644571i | 0.319626 | − | 0.147875i | −0.253515 | − | 0.967331i | \(-0.581587\pi\) |
0.573141 | + | 0.819457i | \(0.305725\pi\) | |||||||
\(20\) | −1.73703 | + | 3.27639i | −0.388412 | + | 0.732622i | ||||
\(21\) | 1.65899 | + | 0.365171i | 0.362021 | + | 0.0796869i | ||||
\(22\) | −0.505683 | − | 1.26917i | −0.107812 | − | 0.270588i | ||||
\(23\) | 6.96978 | + | 2.34839i | 1.45330 | + | 0.489673i | 0.931609 | − | 0.363462i | \(-0.118405\pi\) |
0.521690 | + | 0.853135i | \(0.325302\pi\) | |||||||
\(24\) | −0.994138 | + | 0.108119i | −0.202928 | + | 0.0220697i | ||||
\(25\) | 0.473822 | + | 8.73914i | 0.0947645 | + | 1.74783i | ||||
\(26\) | 0.381595 | − | 7.03811i | 0.0748370 | − | 1.38029i | ||||
\(27\) | −0.994138 | − | 0.108119i | −0.191322 | − | 0.0208075i | ||||
\(28\) | 1.54170 | + | 0.713267i | 0.291354 | + | 0.134795i | ||||
\(29\) | −4.99346 | + | 3.79593i | −0.927262 | + | 0.704886i | −0.955586 | − | 0.294713i | \(-0.904776\pi\) |
0.0283239 | + | 0.999599i | \(0.490983\pi\) | |||||||
\(30\) | −2.95220 | + | 2.24421i | −0.538996 | + | 0.409734i | ||||
\(31\) | −2.98078 | − | 1.37906i | −0.535364 | − | 0.247686i | 0.133528 | − | 0.991045i | \(-0.457369\pi\) |
−0.668892 | + | 0.743359i | \(0.733231\pi\) | |||||||
\(32\) | −0.994138 | − | 0.108119i | −0.175740 | − | 0.0191129i | ||||
\(33\) | 0.0739647 | − | 1.36420i | 0.0128756 | − | 0.237476i | ||||
\(34\) | −0.226291 | − | 4.17369i | −0.0388086 | − | 0.715782i | ||||
\(35\) | 6.26249 | − | 0.681087i | 1.05855 | − | 0.115125i | ||||
\(36\) | −0.947653 | − | 0.319302i | −0.157942 | − | 0.0532169i | ||||
\(37\) | 0.201184 | + | 0.504934i | 0.0330745 | + | 0.0830107i | 0.944586 | − | 0.328263i | \(-0.106463\pi\) |
−0.911512 | + | 0.411274i | \(0.865084\pi\) | |||||||
\(38\) | 1.49921 | + | 0.330001i | 0.243204 | + | 0.0535332i | ||||
\(39\) | 3.30155 | − | 6.22739i | 0.528672 | − | 0.997181i | ||||
\(40\) | −3.36562 | + | 1.55710i | −0.532151 | + | 0.246199i | ||||
\(41\) | −2.08278 | + | 0.701771i | −0.325276 | + | 0.109598i | −0.477202 | − | 0.878794i | \(-0.658349\pi\) |
0.151926 | + | 0.988392i | \(0.451452\pi\) | |||||||
\(42\) | 1.09972 | + | 1.29469i | 0.169690 | + | 0.199775i | ||||
\(43\) | −2.42978 | + | 1.46195i | −0.370538 | + | 0.222945i | −0.688627 | − | 0.725115i | \(-0.741786\pi\) |
0.318089 | + | 0.948061i | \(0.396959\pi\) | |||||||
\(44\) | 0.365498 | − | 1.31640i | 0.0551008 | − | 0.198455i | ||||
\(45\) | −3.62167 | + | 0.797189i | −0.539886 | + | 0.118838i | ||||
\(46\) | 4.12741 | + | 6.08747i | 0.608553 | + | 0.897548i | ||||
\(47\) | 7.38682 | − | 6.99717i | 1.07748 | − | 1.02064i | 0.0777590 | − | 0.996972i | \(-0.475224\pi\) |
0.999720 | − | 0.0236699i | \(-0.00753508\pi\) | |||||||
\(48\) | −0.856857 | − | 0.515554i | −0.123677 | − | 0.0744138i | ||||
\(49\) | 0.665637 | + | 4.06020i | 0.0950909 | + | 0.580029i | ||||
\(50\) | −4.91149 | + | 7.24391i | −0.694590 | + | 1.02444i | ||||
\(51\) | 1.54711 | − | 3.88296i | 0.216639 | − | 0.543722i | ||||
\(52\) | 4.56307 | − | 5.37206i | 0.632784 | − | 0.744971i | ||||
\(53\) | 1.60247 | − | 9.77463i | 0.220116 | − | 1.34265i | −0.613233 | − | 0.789902i | \(-0.710131\pi\) |
0.833349 | − | 0.552747i | \(-0.186420\pi\) | |||||||
\(54\) | −0.725995 | − | 0.687699i | −0.0987955 | − | 0.0935840i | ||||
\(55\) | −1.35540 | − | 4.88170i | −0.182762 | − | 0.658249i | ||||
\(56\) | 0.795687 | + | 1.50083i | 0.106328 | + | 0.200556i | ||||
\(57\) | 1.22208 | + | 0.929001i | 0.161868 | + | 0.123049i | ||||
\(58\) | −6.27246 | −0.823614 | ||||||||
\(59\) | 7.68030 | − | 0.114297i | 0.999889 | − | 0.0148802i | ||||
\(60\) | −3.70837 | −0.478748 | ||||||||
\(61\) | −1.84013 | − | 1.39883i | −0.235604 | − | 0.179101i | 0.480710 | − | 0.876880i | \(-0.340379\pi\) |
−0.716314 | + | 0.697778i | \(0.754172\pi\) | |||||||
\(62\) | −1.53841 | − | 2.90175i | −0.195378 | − | 0.368522i | ||||
\(63\) | 0.454451 | + | 1.63679i | 0.0572555 | + | 0.206216i | ||||
\(64\) | −0.725995 | − | 0.687699i | −0.0907494 | − | 0.0859624i | ||||
\(65\) | 4.22870 | − | 25.7939i | 0.524505 | − | 3.19934i | ||||
\(66\) | 0.884460 | − | 1.04127i | 0.108870 | − | 0.128171i | ||||
\(67\) | −0.570288 | + | 1.43131i | −0.0696718 | + | 0.174863i | −0.959689 | − | 0.281064i | \(-0.909313\pi\) |
0.890017 | + | 0.455927i | \(0.150692\pi\) | |||||||
\(68\) | 2.34566 | − | 3.45959i | 0.284453 | − | 0.419537i | ||||
\(69\) | 1.18987 | + | 7.25789i | 0.143244 | + | 0.873747i | ||||
\(70\) | 5.39770 | + | 3.24769i | 0.645148 | + | 0.388173i | ||||
\(71\) | −10.7010 | + | 10.1365i | −1.26997 | + | 1.20298i | −0.301610 | + | 0.953431i | \(0.597524\pi\) |
−0.968362 | + | 0.249550i | \(0.919717\pi\) | |||||||
\(72\) | −0.561187 | − | 0.827689i | −0.0661365 | − | 0.0975441i | ||||
\(73\) | −14.3957 | + | 3.16872i | −1.68488 | + | 0.370871i | −0.951189 | − | 0.308608i | \(-0.900137\pi\) |
−0.733695 | + | 0.679479i | \(0.762206\pi\) | |||||||
\(74\) | −0.145412 | + | 0.523726i | −0.0169038 | + | 0.0608819i | ||||
\(75\) | −7.49919 | + | 4.51211i | −0.865932 | + | 0.521014i | ||||
\(76\) | 0.993801 | + | 1.16999i | 0.113997 | + | 0.134207i | ||||
\(77\) | −2.19929 | + | 0.741026i | −0.250632 | + | 0.0844478i | ||||
\(78\) | 6.39700 | − | 2.95957i | 0.724318 | − | 0.335105i | ||||
\(79\) | 0.264096 | − | 0.498137i | 0.0297131 | − | 0.0560448i | −0.868211 | − | 0.496195i | \(-0.834730\pi\) |
0.897924 | + | 0.440150i | \(0.145075\pi\) | |||||||
\(80\) | −3.62167 | − | 0.797189i | −0.404915 | − | 0.0891284i | ||||
\(81\) | −0.370138 | − | 0.928977i | −0.0411265 | − | 0.103220i | ||||
\(82\) | −2.08278 | − | 0.701771i | −0.230005 | − | 0.0774976i | ||||
\(83\) | 14.5653 | − | 1.58407i | 1.59875 | − | 0.173875i | 0.735098 | − | 0.677960i | \(-0.237136\pi\) |
0.863654 | + | 0.504086i | \(0.168170\pi\) | |||||||
\(84\) | 0.0919660 | + | 1.69621i | 0.0100343 | + | 0.185072i | ||||
\(85\) | 0.839169 | − | 15.4776i | 0.0910207 | − | 1.67878i | ||||
\(86\) | −2.81906 | − | 0.306592i | −0.303988 | − | 0.0330606i | ||||
\(87\) | −5.69273 | − | 2.63374i | −0.610324 | − | 0.282366i | ||||
\(88\) | 1.08762 | − | 0.826790i | 0.115941 | − | 0.0881361i | ||||
\(89\) | 1.93974 | − | 1.47455i | 0.205612 | − | 0.156302i | −0.497301 | − | 0.867578i | \(-0.665675\pi\) |
0.702913 | + | 0.711276i | \(0.251882\pi\) | |||||||
\(90\) | −3.36562 | − | 1.55710i | −0.354768 | − | 0.164133i | ||||
\(91\) | −11.9030 | − | 1.29453i | −1.24778 | − | 0.135704i | ||||
\(92\) | −0.398180 | + | 7.34399i | −0.0415131 | + | 0.765664i | ||||
\(93\) | −0.177810 | − | 3.27952i | −0.0184381 | − | 0.340070i | ||||
\(94\) | 10.1151 | − | 1.10008i | 1.04329 | − | 0.113465i | ||||
\(95\) | 5.39471 | + | 1.81769i | 0.553485 | + | 0.186491i | ||||
\(96\) | −0.370138 | − | 0.928977i | −0.0377771 | − | 0.0948133i | ||||
\(97\) | 1.56981 | + | 0.345541i | 0.159390 | + | 0.0350844i | 0.293948 | − | 0.955821i | \(-0.405031\pi\) |
−0.134559 | + | 0.990906i | \(0.542962\pi\) | |||||||
\(98\) | −1.92722 | + | 3.63513i | −0.194679 | + | 0.367203i | ||||
\(99\) | 1.23993 | − | 0.573653i | 0.124618 | − | 0.0576543i | ||||
\(100\) | −8.29384 | + | 2.79452i | −0.829384 | + | 0.279452i | ||||
\(101\) | 5.59063 | + | 6.58180i | 0.556289 | + | 0.654914i | 0.966376 | − | 0.257133i | \(-0.0827777\pi\) |
−0.410087 | + | 0.912046i | \(0.634502\pi\) | |||||||
\(102\) | 3.58151 | − | 2.15492i | 0.354622 | − | 0.213369i | ||||
\(103\) | −2.26391 | + | 8.15386i | −0.223069 | + | 0.803423i | 0.764283 | + | 0.644881i | \(0.223093\pi\) |
−0.987352 | + | 0.158542i | \(0.949321\pi\) | |||||||
\(104\) | 6.88366 | − | 1.51521i | 0.674999 | − | 0.148578i | ||||
\(105\) | 3.53515 | + | 5.21396i | 0.344995 | + | 0.508830i | ||||
\(106\) | 7.19107 | − | 6.81174i | 0.698458 | − | 0.661615i | ||||
\(107\) | 9.00760 | + | 5.41969i | 0.870797 | + | 0.523941i | 0.879434 | − | 0.476021i | \(-0.157922\pi\) |
−0.00863651 | + | 0.999963i | \(0.502749\pi\) | |||||||
\(108\) | −0.161782 | − | 0.986827i | −0.0155675 | − | 0.0949574i | ||||
\(109\) | 8.72807 | − | 12.8729i | 0.835998 | − | 1.23300i | −0.134264 | − | 0.990946i | \(-0.542867\pi\) |
0.970262 | − | 0.242059i | \(-0.0778227\pi\) | |||||||
\(110\) | 1.87526 | − | 4.70654i | 0.178799 | − | 0.448751i | ||||
\(111\) | −0.351879 | + | 0.414264i | −0.0333989 | + | 0.0393202i | ||||
\(112\) | −0.274820 | + | 1.67633i | −0.0259680 | + | 0.158398i | ||||
\(113\) | −4.50821 | − | 4.27040i | −0.424096 | − | 0.401725i | 0.445663 | − | 0.895201i | \(-0.352968\pi\) |
−0.869760 | + | 0.493475i | \(0.835726\pi\) | |||||||
\(114\) | 0.410682 | + | 1.47914i | 0.0384639 | + | 0.138534i | ||||
\(115\) | 12.7755 | + | 24.0971i | 1.19132 | + | 2.24706i | ||||
\(116\) | −4.99346 | − | 3.79593i | −0.463631 | − | 0.352443i | ||||
\(117\) | 7.04845 | 0.651630 | ||||||||
\(118\) | 6.18340 | + | 4.55693i | 0.569228 | + | 0.419499i | ||||
\(119\) | −7.10028 | −0.650881 | ||||||||
\(120\) | −2.95220 | − | 2.24421i | −0.269498 | − | 0.204867i | ||||
\(121\) | −4.27821 | − | 8.06955i | −0.388928 | − | 0.733596i | ||||
\(122\) | −0.618377 | − | 2.22719i | −0.0559852 | − | 0.201641i | ||||
\(123\) | −1.59562 | − | 1.51145i | −0.143872 | − | 0.136283i | ||||
\(124\) | 0.531346 | − | 3.24107i | 0.0477163 | − | 0.291057i | ||||
\(125\) | −9.00753 | + | 10.6045i | −0.805658 | + | 0.948494i | ||||
\(126\) | −0.628755 | + | 1.57806i | −0.0560140 | + | 0.140584i | ||||
\(127\) | −7.94193 | + | 11.7135i | −0.704732 | + | 1.03940i | 0.291823 | + | 0.956472i | \(0.405738\pi\) |
−0.996555 | + | 0.0829300i | \(0.973572\pi\) | |||||||
\(128\) | −0.161782 | − | 0.986827i | −0.0142996 | − | 0.0872240i | ||||
\(129\) | −2.42978 | − | 1.46195i | −0.213930 | − | 0.128717i | ||||
\(130\) | 18.9762 | − | 17.9753i | 1.66433 | − | 1.57653i | ||||
\(131\) | −5.43072 | − | 8.00972i | −0.474485 | − | 0.699812i | 0.512848 | − | 0.858480i | \(-0.328591\pi\) |
−0.987332 | + | 0.158667i | \(0.949280\pi\) | |||||||
\(132\) | 1.33426 | − | 0.293693i | 0.116132 | − | 0.0255627i | ||||
\(133\) | 0.697627 | − | 2.51263i | 0.0604920 | − | 0.217872i | ||||
\(134\) | −1.32020 | + | 0.794336i | −0.114048 | + | 0.0686202i | ||||
\(135\) | −2.40074 | − | 2.82638i | −0.206623 | − | 0.243256i | ||||
\(136\) | 3.96102 | − | 1.33462i | 0.339655 | − | 0.114443i | ||||
\(137\) | −19.0383 | + | 8.80804i | −1.62655 | + | 0.752522i | −0.999647 | − | 0.0265754i | \(-0.991540\pi\) |
−0.626903 | + | 0.779097i | \(0.715678\pi\) | |||||||
\(138\) | −3.44504 | + | 6.49803i | −0.293261 | + | 0.553149i | ||||
\(139\) | 1.75109 | + | 0.385444i | 0.148526 | + | 0.0326929i | 0.288611 | − | 0.957446i | \(-0.406807\pi\) |
−0.140085 | + | 0.990139i | \(0.544738\pi\) | |||||||
\(140\) | 2.33165 | + | 5.85201i | 0.197061 | + | 0.494585i | ||||
\(141\) | 9.64213 | + | 3.24881i | 0.812014 | + | 0.273599i | ||||
\(142\) | −14.6533 | + | 1.59364i | −1.22968 | + | 0.133736i | ||||
\(143\) | 0.521336 | + | 9.61548i | 0.0435963 | + | 0.804087i | ||||
\(144\) | 0.0541389 | − | 0.998533i | 0.00451158 | − | 0.0832111i | ||||
\(145\) | −23.1242 | − | 2.51491i | −1.92036 | − | 0.208852i | ||||
\(146\) | −13.3779 | − | 6.18928i | −1.10716 | − | 0.512229i | ||||
\(147\) | −3.27545 | + | 2.48993i | −0.270154 | + | 0.205366i | ||||
\(148\) | −0.432707 | + | 0.328935i | −0.0355683 | + | 0.0270383i | ||||
\(149\) | 1.21891 | + | 0.563928i | 0.0998571 | + | 0.0461988i | 0.469182 | − | 0.883102i | \(-0.344549\pi\) |
−0.369325 | + | 0.929300i | \(0.620411\pi\) | |||||||
\(150\) | −8.70067 | − | 0.946255i | −0.710407 | − | 0.0772614i | ||||
\(151\) | 0.359438 | − | 6.62944i | 0.0292506 | − | 0.539496i | −0.946782 | − | 0.321874i | \(-0.895687\pi\) |
0.976033 | − | 0.217622i | \(-0.0698300\pi\) | |||||||
\(152\) | 0.0831085 | + | 1.53285i | 0.00674099 | + | 0.124330i | ||||
\(153\) | 4.15532 | − | 0.451918i | 0.335938 | − | 0.0365354i | ||||
\(154\) | −2.19929 | − | 0.741026i | −0.177224 | − | 0.0597136i | ||||
\(155\) | −4.50810 | − | 11.3145i | −0.362099 | − | 0.908801i | ||||
\(156\) | 6.88366 | + | 1.51521i | 0.551134 | + | 0.121314i | ||||
\(157\) | −5.85219 | + | 11.0384i | −0.467055 | + | 0.880960i | 0.532352 | + | 0.846523i | \(0.321308\pi\) |
−0.999407 | + | 0.0344363i | \(0.989036\pi\) | |||||||
\(158\) | 0.511704 | − | 0.236740i | 0.0407090 | − | 0.0188340i | ||||
\(159\) | 9.38661 | − | 3.16272i | 0.744407 | − | 0.250820i | ||||
\(160\) | −2.40074 | − | 2.82638i | −0.189796 | − | 0.223445i | ||||
\(161\) | 10.7052 | − | 6.44112i | 0.843690 | − | 0.507631i | ||||
\(162\) | 0.267528 | − | 0.963550i | 0.0210190 | − | 0.0757036i | ||||
\(163\) | 14.8614 | − | 3.27123i | 1.16403 | − | 0.256223i | 0.409390 | − | 0.912360i | \(-0.365742\pi\) |
0.754642 | + | 0.656137i | \(0.227811\pi\) | |||||||
\(164\) | −1.23339 | − | 1.81912i | −0.0963119 | − | 0.142049i | ||||
\(165\) | 3.67816 | − | 3.48414i | 0.286345 | − | 0.271240i | ||||
\(166\) | 12.5540 | + | 7.55349i | 0.974379 | + | 0.586264i | ||||
\(167\) | −0.988673 | − | 6.03064i | −0.0765058 | − | 0.466665i | −0.997097 | − | 0.0761377i | \(-0.975741\pi\) |
0.920592 | − | 0.390527i | \(-0.127707\pi\) | |||||||
\(168\) | −0.953291 | + | 1.40600i | −0.0735480 | + | 0.108475i | ||||
\(169\) | −13.5769 | + | 34.0755i | −1.04438 | + | 2.62119i | ||||
\(170\) | 10.0347 | − | 11.8137i | 0.769625 | − | 0.906072i | ||||
\(171\) | −0.248351 | + | 1.51487i | −0.0189919 | + | 0.115845i | ||||
\(172\) | −2.05870 | − | 1.95010i | −0.156974 | − | 0.148694i | ||||
\(173\) | 6.83245 | + | 24.6083i | 0.519462 | + | 1.87093i | 0.490667 | + | 0.871347i | \(0.336753\pi\) |
0.0287945 | + | 0.999585i | \(0.490833\pi\) | |||||||
\(174\) | −2.93807 | − | 5.54179i | −0.222735 | − | 0.420122i | ||||
\(175\) | 11.8355 | + | 8.99713i | 0.894682 | + | 0.680119i | ||||
\(176\) | 1.36620 | 0.102981 | ||||||||
\(177\) | 3.69850 | + | 6.73210i | 0.277996 | + | 0.506015i | ||||
\(178\) | 2.43658 | 0.182629 | ||||||||
\(179\) | −9.05941 | − | 6.88678i | −0.677132 | − | 0.514742i | 0.209153 | − | 0.977883i | \(-0.432929\pi\) |
−0.886285 | + | 0.463141i | \(0.846722\pi\) | |||||||
\(180\) | −1.73703 | − | 3.27639i | −0.129471 | − | 0.244207i | ||||
\(181\) | −0.564181 | − | 2.03200i | −0.0419352 | − | 0.151037i | 0.939618 | − | 0.342224i | \(-0.111180\pi\) |
−0.981554 | + | 0.191187i | \(0.938766\pi\) | |||||||
\(182\) | −8.69251 | − | 8.23399i | −0.644332 | − | 0.610344i | ||||
\(183\) | 0.373950 | − | 2.28100i | 0.0276432 | − | 0.168616i | ||||
\(184\) | −4.76138 | + | 5.60553i | −0.351014 | + | 0.413245i | ||||
\(185\) | −0.746064 | + | 1.87248i | −0.0548517 | + | 0.137667i | ||||
\(186\) | 1.84313 | − | 2.71841i | 0.135145 | − | 0.199323i | ||||
\(187\) | 0.923852 | + | 5.63525i | 0.0675588 | + | 0.412090i | ||||
\(188\) | 8.71831 | + | 5.24563i | 0.635848 | + | 0.382577i | ||||
\(189\) | −1.23325 | + | 1.16820i | −0.0897058 | + | 0.0849739i | ||||
\(190\) | 3.19467 | + | 4.71179i | 0.231766 | + | 0.341829i | ||||
\(191\) | −4.68103 | + | 1.03037i | −0.338708 | + | 0.0745552i | −0.381068 | − | 0.924547i | \(-0.624443\pi\) |
0.0423598 | + | 0.999102i | \(0.486512\pi\) | |||||||
\(192\) | 0.267528 | − | 0.963550i | 0.0193072 | − | 0.0695382i | ||||
\(193\) | 6.70986 | − | 4.03719i | 0.482986 | − | 0.290603i | −0.253161 | − | 0.967424i | \(-0.581470\pi\) |
0.736148 | + | 0.676821i | \(0.236643\pi\) | |||||||
\(194\) | 1.04060 | + | 1.22509i | 0.0747108 | + | 0.0879563i | ||||
\(195\) | 24.7700 | − | 8.34598i | 1.77382 | − | 0.597668i | ||||
\(196\) | −3.73413 | + | 1.72759i | −0.266724 | + | 0.123400i | ||||
\(197\) | −1.22081 | + | 2.30269i | −0.0869792 | + | 0.164060i | −0.923185 | − | 0.384355i | \(-0.874424\pi\) |
0.836206 | + | 0.548415i | \(0.184769\pi\) | |||||||
\(198\) | 1.33426 | + | 0.293693i | 0.0948218 | + | 0.0208718i | ||||
\(199\) | 1.66190 | + | 4.17105i | 0.117809 | + | 0.295678i | 0.976042 | − | 0.217582i | \(-0.0698169\pi\) |
−0.858233 | + | 0.513260i | \(0.828438\pi\) | |||||||
\(200\) | −8.29384 | − | 2.79452i | −0.586463 | − | 0.197602i | ||||
\(201\) | −1.53171 | + | 0.166584i | −0.108039 | + | 0.0117499i | ||||
\(202\) | 0.467527 | + | 8.62303i | 0.0328951 | + | 0.606714i | ||||
\(203\) | −0.576853 | + | 10.6394i | −0.0404871 | + | 0.746741i | ||||
\(204\) | 4.15532 | + | 0.451918i | 0.290930 | + | 0.0316406i | ||||
\(205\) | −7.39707 | − | 3.42225i | −0.516634 | − | 0.239020i | ||||
\(206\) | −6.73678 | + | 5.12117i | −0.469374 | + | 0.356809i | ||||
\(207\) | −5.85509 | + | 4.45092i | −0.406957 | + | 0.309360i | ||||
\(208\) | 6.39700 | + | 2.95957i | 0.443552 | + | 0.205209i | ||||
\(209\) | −2.08496 | − | 0.226753i | −0.144220 | − | 0.0156848i | ||||
\(210\) | −0.341043 | + | 6.29018i | −0.0235342 | + | 0.434063i | ||||
\(211\) | −0.895553 | − | 16.5175i | −0.0616524 | − | 1.13711i | −0.851688 | − | 0.524050i | \(-0.824421\pi\) |
0.790035 | − | 0.613061i | \(-0.210062\pi\) | |||||||
\(212\) | 9.84705 | − | 1.07093i | 0.676298 | − | 0.0735519i | ||||
\(213\) | −13.9681 | − | 4.70642i | −0.957082 | − | 0.322478i | ||||
\(214\) | 3.89103 | + | 9.76574i | 0.265985 | + | 0.667572i | ||||
\(215\) | −10.2699 | − | 2.26058i | −0.700402 | − | 0.154170i | ||||
\(216\) | 0.468408 | − | 0.883512i | 0.0318712 | − | 0.0601154i | ||||
\(217\) | −5.06346 | + | 2.34261i | −0.343730 | + | 0.159027i | ||||
\(218\) | 14.7387 | − | 4.96606i | 0.998233 | − | 0.336344i | ||||
\(219\) | −9.54265 | − | 11.2345i | −0.644833 | − | 0.759156i | ||||
\(220\) | 4.34116 | − | 2.61199i | 0.292681 | − | 0.176100i | ||||
\(221\) | −7.88172 | + | 28.3874i | −0.530182 | + | 1.90954i | ||||
\(222\) | −0.530830 | + | 0.116845i | −0.0356270 | + | 0.00784210i | ||||
\(223\) | 5.19349 | + | 7.65982i | 0.347781 | + | 0.512939i | 0.960842 | − | 0.277097i | \(-0.0893722\pi\) |
−0.613061 | + | 0.790036i | \(0.710062\pi\) | |||||||
\(224\) | −1.23325 | + | 1.16820i | −0.0824001 | + | 0.0780535i | ||||
\(225\) | −7.49919 | − | 4.51211i | −0.499946 | − | 0.300808i | ||||
\(226\) | −1.00462 | − | 6.12789i | −0.0668261 | − | 0.407621i | ||||
\(227\) | −3.62522 | + | 5.34681i | −0.240615 | + | 0.354880i | −0.928753 | − | 0.370700i | \(-0.879118\pi\) |
0.688138 | + | 0.725580i | \(0.258428\pi\) | |||||||
\(228\) | −0.568198 | + | 1.42607i | −0.0376298 | + | 0.0944438i | ||||
\(229\) | 17.4121 | − | 20.4991i | 1.15063 | − | 1.35462i | 0.225825 | − | 0.974168i | \(-0.427492\pi\) |
0.924800 | − | 0.380453i | \(-0.124232\pi\) | |||||||
\(230\) | −4.41247 | + | 26.9149i | −0.290950 | + | 1.77472i | ||||
\(231\) | −1.68487 | − | 1.59599i | −0.110856 | − | 0.105009i | ||||
\(232\) | −1.67806 | − | 6.04383i | −0.110170 | − | 0.396797i | ||||
\(233\) | 3.38519 | + | 6.38515i | 0.221771 | + | 0.418305i | 0.969285 | − | 0.245942i | \(-0.0790972\pi\) |
−0.747513 | + | 0.664247i | \(0.768752\pi\) | |||||||
\(234\) | 5.61122 | + | 4.26554i | 0.366817 | + | 0.278847i | ||||
\(235\) | 37.7317 | 2.46134 | ||||||||
\(236\) | 2.16483 | + | 7.36977i | 0.140918 | + | 0.479731i | ||||
\(237\) | 0.563815 | 0.0366237 | ||||||||
\(238\) | −5.65248 | − | 4.29690i | −0.366396 | − | 0.278527i | ||||
\(239\) | 2.90758 | + | 5.48427i | 0.188075 | + | 0.354748i | 0.959562 | − | 0.281498i | \(-0.0908313\pi\) |
−0.771486 | + | 0.636246i | \(0.780486\pi\) | |||||||
\(240\) | −0.992093 | − | 3.57320i | −0.0640393 | − | 0.230649i | ||||
\(241\) | −14.6456 | − | 13.8730i | −0.943405 | − | 0.893640i | 0.0510618 | − | 0.998695i | \(-0.483739\pi\) |
−0.994466 | + | 0.105055i | \(0.966498\pi\) | |||||||
\(242\) | 1.47763 | − | 9.01317i | 0.0949860 | − | 0.579389i | ||||
\(243\) | 0.647386 | − | 0.762162i | 0.0415298 | − | 0.0488927i | ||||
\(244\) | 0.855554 | − | 2.14728i | 0.0547712 | − | 0.137465i | ||||
\(245\) | −8.56243 | + | 12.6286i | −0.547034 | + | 0.806814i | ||||
\(246\) | −0.355570 | − | 2.16888i | −0.0226703 | − | 0.138283i | ||||
\(247\) | −9.27125 | − | 5.57832i | −0.589915 | − | 0.354940i | ||||
\(248\) | 2.38441 | − | 2.25863i | 0.151410 | − | 0.143423i | ||||
\(249\) | 8.22207 | + | 12.1266i | 0.521052 | + | 0.768495i | ||||
\(250\) | −13.5884 | + | 2.99103i | −0.859406 | + | 0.189170i | ||||
\(251\) | −7.58046 | + | 27.3023i | −0.478474 | + | 1.72331i | 0.192017 | + | 0.981392i | \(0.438497\pi\) |
−0.670492 | + | 0.741917i | \(0.733917\pi\) | |||||||
\(252\) | −1.45555 | + | 0.875773i | −0.0916908 | + | 0.0551685i | ||||
\(253\) | −6.50501 | − | 7.65829i | −0.408966 | − | 0.481472i | ||||
\(254\) | −13.4112 | + | 4.51876i | −0.841494 | + | 0.283532i | ||||
\(255\) | 14.0677 | − | 6.50841i | 0.880953 | − | 0.407572i | ||||
\(256\) | 0.468408 | − | 0.883512i | 0.0292755 | − | 0.0552195i | ||||
\(257\) | 15.3195 | + | 3.37208i | 0.955606 | + | 0.210345i | 0.665289 | − | 0.746586i | \(-0.268308\pi\) |
0.290317 | + | 0.956931i | \(0.406239\pi\) | |||||||
\(258\) | −1.04960 | − | 2.63429i | −0.0653450 | − | 0.164004i | ||||
\(259\) | 0.874978 | + | 0.294814i | 0.0543685 | + | 0.0183189i | ||||
\(260\) | 25.9850 | − | 2.82604i | 1.61152 | − | 0.175264i | ||||
\(261\) | −0.339584 | − | 6.26326i | −0.0210197 | − | 0.387686i | ||||
\(262\) | 0.523913 | − | 9.66301i | 0.0323675 | − | 0.596983i | ||||
\(263\) | 3.76765 | + | 0.409757i | 0.232323 | + | 0.0252667i | 0.223540 | − | 0.974695i | \(-0.428239\pi\) |
0.00878320 | + | 0.999961i | \(0.497204\pi\) | |||||||
\(264\) | 1.23993 | + | 0.573653i | 0.0763125 | + | 0.0353059i | ||||
\(265\) | 29.2419 | − | 22.2291i | 1.79632 | − | 1.36552i | ||||
\(266\) | 2.07595 | − | 1.57810i | 0.127285 | − | 0.0967594i | ||||
\(267\) | 2.21138 | + | 1.02309i | 0.135334 | + | 0.0626122i | ||||
\(268\) | −1.53171 | − | 0.166584i | −0.0935642 | − | 0.0101757i | ||||
\(269\) | −0.627421 | + | 11.5721i | −0.0382545 | + | 0.705564i | 0.915011 | + | 0.403429i | \(0.132182\pi\) |
−0.953265 | + | 0.302134i | \(0.902301\pi\) | |||||||
\(270\) | −0.200767 | − | 3.70293i | −0.0122183 | − | 0.225353i | ||||
\(271\) | −29.1981 | + | 3.17549i | −1.77366 | + | 0.192897i | −0.935691 | − | 0.352820i | \(-0.885223\pi\) |
−0.837969 | + | 0.545717i | \(0.816257\pi\) | |||||||
\(272\) | 3.96102 | + | 1.33462i | 0.240172 | + | 0.0809234i | ||||
\(273\) | −4.43175 | − | 11.1229i | −0.268222 | − | 0.673186i | ||||
\(274\) | −20.4866 | − | 4.50945i | −1.23764 | − | 0.272426i | ||||
\(275\) | 5.60074 | − | 10.5641i | 0.337737 | − | 0.637040i | ||||
\(276\) | −6.67501 | + | 3.08819i | −0.401789 | + | 0.185887i | ||||
\(277\) | −12.4308 | + | 4.18841i | −0.746892 | + | 0.251657i | −0.666909 | − | 0.745139i | \(-0.732383\pi\) |
−0.0799826 | + | 0.996796i | \(0.525486\pi\) | |||||||
\(278\) | 1.16077 | + | 1.36656i | 0.0696184 | + | 0.0819611i | ||||
\(279\) | 2.81421 | − | 1.69325i | 0.168482 | − | 0.101372i | ||||
\(280\) | −1.68527 | + | 6.06980i | −0.100714 | + | 0.362740i | ||||
\(281\) | −25.5681 | + | 5.62796i | −1.52526 | + | 0.335736i | −0.896917 | − | 0.442198i | \(-0.854199\pi\) |
−0.628346 | + | 0.777934i | \(0.716268\pi\) | |||||||
\(282\) | 5.70994 | + | 8.42153i | 0.340022 | + | 0.501495i | ||||
\(283\) | 17.8188 | − | 16.8789i | 1.05922 | − | 1.00334i | 0.0592308 | − | 0.998244i | \(-0.481135\pi\) |
0.999987 | − | 0.00510006i | \(-0.00162341\pi\) | |||||||
\(284\) | −12.6298 | − | 7.59912i | −0.749443 | − | 0.450925i | ||||
\(285\) | 0.920977 | + | 5.61771i | 0.0545539 | + | 0.332764i | ||||
\(286\) | −5.40401 | + | 7.97032i | −0.319546 | + | 0.471295i | ||||
\(287\) | −1.38190 | + | 3.46830i | −0.0815709 | + | 0.204727i | ||||
\(288\) | 0.647386 | − | 0.762162i | 0.0381476 | − | 0.0449108i | ||||
\(289\) | −0.0761820 | + | 0.464689i | −0.00448129 | + | 0.0273347i | ||||
\(290\) | −16.8871 | − | 15.9963i | −0.991642 | − | 0.939334i | ||||
\(291\) | 0.430022 | + | 1.54880i | 0.0252083 | + | 0.0907922i | ||||
\(292\) | −6.90447 | − | 13.0232i | −0.404054 | − | 0.762126i | ||||
\(293\) | −13.6914 | − | 10.4079i | −0.799857 | − | 0.608036i | 0.123339 | − | 0.992365i | \(-0.460640\pi\) |
−0.923196 | + | 0.384329i | \(0.874433\pi\) | |||||||
\(294\) | −4.11440 | −0.239957 | ||||||||
\(295\) | 20.9688 | + | 19.2789i | 1.22085 | + | 1.12246i | ||||
\(296\) | −0.543538 | −0.0315925 | ||||||||
\(297\) | 1.08762 | + | 0.826790i | 0.0631103 | + | 0.0479752i | ||||
\(298\) | 0.629092 | + | 1.18659i | 0.0364423 | + | 0.0687375i | ||||
\(299\) | −13.8686 | − | 49.9502i | −0.802043 | − | 2.88870i | ||||
\(300\) | −6.35389 | − | 6.01873i | −0.366842 | − | 0.347491i | ||||
\(301\) | −0.779303 | + | 4.75354i | −0.0449183 | + | 0.273989i | ||||
\(302\) | 4.29811 | − | 5.06013i | 0.247329 | − | 0.291178i | ||||
\(303\) | −3.19640 | + | 8.02236i | −0.183628 | + | 0.460873i | ||||
\(304\) | −0.861477 | + | 1.27058i | −0.0494091 | + | 0.0728729i | ||||
\(305\) | −1.38674 | − | 8.45877i | −0.0794048 | − | 0.484348i | ||||
\(306\) | 3.58151 | + | 2.15492i | 0.204741 | + | 0.123189i | ||||
\(307\) | −0.282835 | + | 0.267916i | −0.0161423 | + | 0.0152908i | −0.695728 | − | 0.718305i | \(-0.744918\pi\) |
0.679586 | + | 0.733596i | \(0.262160\pi\) | |||||||
\(308\) | −1.30239 | − | 1.92088i | −0.0742104 | − | 0.109452i | ||||
\(309\) | −8.26446 | + | 1.81915i | −0.470149 | + | 0.103488i | ||||
\(310\) | 3.25836 | − | 11.7356i | 0.185063 | − | 0.666536i | ||||
\(311\) | 19.4449 | − | 11.6996i | 1.10262 | − | 0.663425i | 0.156643 | − | 0.987655i | \(-0.449933\pi\) |
0.945978 | + | 0.324230i | \(0.105105\pi\) | |||||||
\(312\) | 4.56307 | + | 5.37206i | 0.258333 | + | 0.304133i | ||||
\(313\) | 18.1790 | − | 6.12523i | 1.02754 | − | 0.346219i | 0.245467 | − | 0.969405i | \(-0.421059\pi\) |
0.782073 | + | 0.623186i | \(0.214162\pi\) | |||||||
\(314\) | −11.3390 | + | 5.24600i | −0.639899 | + | 0.296049i | ||||
\(315\) | −2.95070 | + | 5.56561i | −0.166253 | + | 0.313587i | ||||
\(316\) | 0.550633 | + | 0.121203i | 0.0309755 | + | 0.00681823i | ||||
\(317\) | −1.07303 | − | 2.69311i | −0.0602675 | − | 0.151260i | 0.895759 | − | 0.444540i | \(-0.146633\pi\) |
−0.956027 | + | 0.293279i | \(0.905253\pi\) | |||||||
\(318\) | 9.38661 | + | 3.16272i | 0.526375 | + | 0.177356i | ||||
\(319\) | 8.51920 | − | 0.926519i | 0.476984 | − | 0.0518751i | ||||
\(320\) | −0.200767 | − | 3.70293i | −0.0112232 | − | 0.207000i | ||||
\(321\) | −0.569128 | + | 10.4969i | −0.0317656 | + | 0.585883i | ||||
\(322\) | 12.4204 | + | 1.35079i | 0.692159 | + | 0.0752768i | ||||
\(323\) | −5.82339 | − | 2.69419i | −0.324022 | − | 0.149909i | ||||
\(324\) | 0.796093 | − | 0.605174i | 0.0442274 | − | 0.0336208i | ||||
\(325\) | 49.1093 | − | 37.3319i | 2.72409 | − | 2.07080i | ||||
\(326\) | 13.8107 | + | 6.38951i | 0.764903 | + | 0.353882i | ||||
\(327\) | 15.4617 | + | 1.68156i | 0.855034 | + | 0.0929906i | ||||
\(328\) | 0.118988 | − | 2.19461i | 0.00657002 | − | 0.121177i | ||||
\(329\) | −0.935731 | − | 17.2585i | −0.0515885 | − | 0.951494i | ||||
\(330\) | 5.03667 | − | 0.547771i | 0.277260 | − | 0.0301538i | ||||
\(331\) | −3.32161 | − | 1.11918i | −0.182572 | − | 0.0615157i | 0.226531 | − | 0.974004i | \(-0.427262\pi\) |
−0.409103 | + | 0.912488i | \(0.634158\pi\) | |||||||
\(332\) | 5.42297 | + | 13.6106i | 0.297624 | + | 0.746981i | ||||
\(333\) | −0.530830 | − | 0.116845i | −0.0290893 | − | 0.00640304i | ||||
\(334\) | 2.86251 | − | 5.39927i | 0.156630 | − | 0.295435i | ||||
\(335\) | −5.18556 | + | 2.39909i | −0.283317 | + | 0.131077i | ||||
\(336\) | −1.60978 | + | 0.542399i | −0.0878208 | + | 0.0295903i | ||||
\(337\) | −17.2955 | − | 20.3619i | −0.942148 | − | 1.10918i | −0.993874 | − | 0.110521i | \(-0.964748\pi\) |
0.0517256 | − | 0.998661i | \(-0.483528\pi\) | |||||||
\(338\) | −31.4301 | + | 18.9109i | −1.70957 | + | 1.02862i | ||||
\(339\) | 1.66127 | − | 5.98335i | 0.0902277 | − | 0.324971i | ||||
\(340\) | 15.1379 | − | 3.33211i | 0.820968 | − | 0.180709i | ||||
\(341\) | 2.51808 | + | 3.71389i | 0.136362 | + | 0.201119i | ||||
\(342\) | −1.11447 | + | 1.05569i | −0.0602638 | + | 0.0570849i | ||||
\(343\) | 16.1775 | + | 9.73370i | 0.873505 | + | 0.525570i | ||||
\(344\) | −0.458763 | − | 2.79833i | −0.0247349 | − | 0.150876i | ||||
\(345\) | −15.3059 | + | 22.5746i | −0.824044 | + | 1.21537i | ||||
\(346\) | −9.45302 | + | 23.7253i | −0.508198 | + | 1.27548i | ||||
\(347\) | −3.46942 | + | 4.08451i | −0.186248 | + | 0.219268i | −0.847360 | − | 0.531019i | \(-0.821809\pi\) |
0.661112 | + | 0.750288i | \(0.270085\pi\) | |||||||
\(348\) | 1.01477 | − | 6.18983i | 0.0543974 | − | 0.331810i | ||||
\(349\) | 10.9307 | + | 10.3541i | 0.585108 | + | 0.554243i | 0.921946 | − | 0.387319i | \(-0.126599\pi\) |
−0.336838 | + | 0.941563i | \(0.609357\pi\) | |||||||
\(350\) | 3.97735 | + | 14.3251i | 0.212598 | + | 0.765709i | ||||
\(351\) | 3.30155 | + | 6.22739i | 0.176224 | + | 0.332394i | ||||
\(352\) | 1.08762 | + | 0.826790i | 0.0579705 | + | 0.0440680i | ||||
\(353\) | 23.4354 | 1.24734 | 0.623670 | − | 0.781688i | \(-0.285641\pi\) | ||||
0.623670 | + | 0.781688i | \(0.285641\pi\) | |||||||
\(354\) | −1.12974 | + | 7.59761i | −0.0600451 | + | 0.403808i | ||||
\(355\) | −54.6603 | −2.90107 | ||||||||
\(356\) | 1.93974 | + | 1.47455i | 0.102806 | + | 0.0781511i | ||||
\(357\) | −3.32583 | − | 6.27318i | −0.176022 | − | 0.332012i | ||||
\(358\) | −3.04443 | − | 10.9650i | −0.160903 | − | 0.579520i | ||||
\(359\) | 12.7733 | + | 12.0995i | 0.674147 | + | 0.638586i | 0.946157 | − | 0.323708i | \(-0.104930\pi\) |
−0.272010 | + | 0.962295i | \(0.587688\pi\) | |||||||
\(360\) | 0.599947 | − | 3.65951i | 0.0316200 | − | 0.192873i | ||||
\(361\) | −10.7748 | + | 12.6850i | −0.567093 | + | 0.667633i | ||||
\(362\) | 0.780571 | − | 1.95909i | 0.0410259 | − | 0.102967i | ||||
\(363\) | 5.12560 | − | 7.55969i | 0.269024 | − | 0.396781i | ||||
\(364\) | −1.93705 | − | 11.8155i | −0.101529 | − | 0.619301i | ||||
\(365\) | −46.8378 | − | 28.1814i | −2.45160 | − | 1.47508i | ||||
\(366\) | 1.67810 | − | 1.58958i | 0.0877156 | − | 0.0830887i | ||||
\(367\) | −11.2054 | − | 16.5267i | −0.584917 | − | 0.862688i | 0.413949 | − | 0.910300i | \(-0.364149\pi\) |
−0.998866 | + | 0.0476124i | \(0.984839\pi\) | |||||||
\(368\) | −7.18283 | + | 1.58106i | −0.374431 | + | 0.0824184i | ||||
\(369\) | 0.587982 | − | 2.11772i | 0.0306091 | − | 0.110244i | ||||
\(370\) | −1.72711 | + | 1.03917i | −0.0897884 | + | 0.0540239i | ||||
\(371\) | −10.8928 | − | 12.8240i | −0.565527 | − | 0.665790i | ||||
\(372\) | 3.11241 | − | 1.04869i | 0.161371 | − | 0.0543722i | ||||
\(373\) | 5.41432 | − | 2.50493i | 0.280343 | − | 0.129700i | −0.274680 | − | 0.961536i | \(-0.588572\pi\) |
0.555022 | + | 0.831835i | \(0.312710\pi\) | |||||||
\(374\) | −2.67483 | + | 5.04527i | −0.138312 | + | 0.260885i | ||||
\(375\) | −13.5884 | − | 2.99103i | −0.701702 | − | 0.154456i | ||||
\(376\) | 3.76606 | + | 9.45211i | 0.194220 | + | 0.487455i | ||||
\(377\) | 41.8968 | + | 14.1167i | 2.15779 | + | 0.727046i | ||||
\(378\) | −1.68875 | + | 0.183662i | −0.0868597 | + | 0.00944657i | ||||
\(379\) | −1.63885 | − | 30.2269i | −0.0841822 | − | 1.55265i | −0.670095 | − | 0.742276i | \(-0.733746\pi\) |
0.585912 | − | 0.810374i | \(-0.300736\pi\) | |||||||
\(380\) | −0.308197 | + | 5.68435i | −0.0158102 | + | 0.291601i | ||||
\(381\) | −14.0691 | − | 1.53010i | −0.720780 | − | 0.0783895i | ||||
\(382\) | −4.35009 | − | 2.01257i | −0.222570 | − | 0.102972i | ||||
\(383\) | 4.52548 | − | 3.44018i | 0.231241 | − | 0.175785i | −0.483137 | − | 0.875545i | \(-0.660503\pi\) |
0.714378 | + | 0.699760i | \(0.246710\pi\) | |||||||
\(384\) | 0.796093 | − | 0.605174i | 0.0406255 | − | 0.0308827i | ||||
\(385\) | −7.81084 | − | 3.61368i | −0.398077 | − | 0.184170i | ||||
\(386\) | 7.78488 | + | 0.846656i | 0.396240 | + | 0.0430937i | ||||
\(387\) | 0.153521 | − | 2.83153i | 0.00780391 | − | 0.143935i | ||||
\(388\) | 0.0870222 | + | 1.60503i | 0.00441788 | + | 0.0814831i | ||||
\(389\) | 19.3957 | − | 2.10941i | 0.983402 | − | 0.106951i | 0.397732 | − | 0.917501i | \(-0.369797\pi\) |
0.585669 | + | 0.810550i | \(0.300832\pi\) | |||||||
\(390\) | 24.7700 | + | 8.34598i | 1.25428 | + | 0.422615i | ||||
\(391\) | −11.3787 | − | 28.5583i | −0.575443 | − | 1.44425i | ||||
\(392\) | −4.01821 | − | 0.884475i | −0.202950 | − | 0.0446728i | ||||
\(393\) | 4.53289 | − | 8.54993i | 0.228654 | − | 0.431287i | ||||
\(394\) | −2.36541 | + | 1.09436i | −0.119168 | + | 0.0551328i | ||||
\(395\) | 1.98138 | − | 0.667605i | 0.0996942 | − | 0.0335909i | ||||
\(396\) | 0.884460 | + | 1.04127i | 0.0444458 | + | 0.0523256i | ||||
\(397\) | −14.2065 | + | 8.54774i | −0.713001 | + | 0.428999i | −0.825314 | − | 0.564674i | \(-0.809002\pi\) |
0.112312 | + | 0.993673i | \(0.464174\pi\) | |||||||
\(398\) | −1.20119 | + | 4.32628i | −0.0602101 | + | 0.216857i | ||||
\(399\) | 2.54671 | − | 0.560573i | 0.127495 | − | 0.0280638i | ||||
\(400\) | −4.91149 | − | 7.24391i | −0.245575 | − | 0.362196i | ||||
\(401\) | −8.77894 | + | 8.31586i | −0.438399 | + | 0.415274i | −0.874804 | − | 0.484476i | \(-0.839010\pi\) |
0.436405 | + | 0.899750i | \(0.356252\pi\) | |||||||
\(402\) | −1.32020 | − | 0.794336i | −0.0658454 | − | 0.0396179i | ||||
\(403\) | 3.74517 | + | 22.8445i | 0.186560 | + | 1.13797i | ||||
\(404\) | −4.84624 | + | 7.14767i | −0.241110 | + | 0.355610i | ||||
\(405\) | 1.37261 | − | 3.44499i | 0.0682054 | − | 0.171183i | ||||
\(406\) | −6.89793 | + | 8.12087i | −0.342339 | + | 0.403032i | ||||
\(407\) | 0.120136 | − | 0.732800i | 0.00595494 | − | 0.0363235i | ||||
\(408\) | 3.03453 | + | 2.87446i | 0.150232 | + | 0.142307i | ||||
\(409\) | −9.22173 | − | 33.2137i | −0.455985 | − | 1.64231i | −0.732109 | − | 0.681188i | \(-0.761464\pi\) |
0.276123 | − | 0.961122i | \(-0.410950\pi\) | |||||||
\(410\) | −3.81770 | − | 7.20094i | −0.188543 | − | 0.355629i | ||||
\(411\) | −16.6997 | − | 12.6948i | −0.823736 | − | 0.626188i | ||||
\(412\) | −8.46231 | −0.416908 | ||||||||
\(413\) | 8.29818 | − | 10.0693i | 0.408327 | − | 0.495477i | ||||
\(414\) | −7.35478 | −0.361468 | ||||||||
\(415\) | 43.2534 | + | 32.8804i | 2.12322 | + | 1.61403i | ||||
\(416\) | 3.30155 | + | 6.22739i | 0.161872 | + | 0.305323i | ||||
\(417\) | 0.479681 | + | 1.72765i | 0.0234901 | + | 0.0846036i | ||||
\(418\) | −1.52260 | − | 1.44228i | −0.0744726 | − | 0.0705442i | ||||
\(419\) | 5.65672 | − | 34.5044i | 0.276349 | − | 1.68565i | −0.375120 | − | 0.926976i | \(-0.622398\pi\) |
0.651468 | − | 0.758676i | \(-0.274153\pi\) | |||||||
\(420\) | −4.07816 | + | 4.80118i | −0.198994 | + | 0.234273i | ||||
\(421\) | −7.98146 | + | 20.0319i | −0.388992 | + | 0.976297i | 0.595889 | + | 0.803067i | \(0.296800\pi\) |
−0.984881 | + | 0.173231i | \(0.944579\pi\) | |||||||
\(422\) | 9.28302 | − | 13.6914i | 0.451890 | − | 0.666488i | ||||
\(423\) | 1.64609 | + | 10.0407i | 0.0800357 | + | 0.488196i | ||||
\(424\) | 8.48727 | + | 5.10662i | 0.412178 | + | 0.247999i | ||||
\(425\) | 26.5581 | − | 25.1572i | 1.28826 | − | 1.22030i | ||||
\(426\) | −8.27174 | − | 12.1999i | −0.400767 | − | 0.591088i | ||||
\(427\) | −3.83466 | + | 0.844073i | −0.185572 | + | 0.0408476i | ||||
\(428\) | −2.81236 | + | 10.1292i | −0.135940 | + | 0.489613i | ||||
\(429\) | −8.25120 | + | 4.96458i | −0.398372 | + | 0.239692i | ||||
\(430\) | −6.80776 | − | 8.01472i | −0.328299 | − | 0.386504i | ||||
\(431\) | −11.5636 | + | 3.89623i | −0.556999 | + | 0.187675i | −0.583701 | − | 0.811969i | \(-0.698396\pi\) |
0.0267020 | + | 0.999643i | \(0.491499\pi\) | |||||||
\(432\) | 0.907575 | − | 0.419889i | 0.0436657 | − | 0.0202019i | ||||
\(433\) | −5.69163 | + | 10.7356i | −0.273522 | + | 0.515918i | −0.981776 | − | 0.190040i | \(-0.939138\pi\) |
0.708254 | + | 0.705958i | \(0.249483\pi\) | |||||||
\(434\) | −5.44868 | − | 1.19934i | −0.261545 | − | 0.0575704i | ||||
\(435\) | −8.60962 | − | 21.6085i | −0.412800 | − | 1.03605i | ||||
\(436\) | 14.7387 | + | 4.96606i | 0.705857 | + | 0.237831i | ||||
\(437\) | 11.2241 | − | 1.22070i | 0.536922 | − | 0.0583938i | ||||
\(438\) | −0.798023 | − | 14.7187i | −0.0381310 | − | 0.703285i | ||||
\(439\) | −2.05832 | + | 37.9634i | −0.0982381 | + | 1.81189i | 0.370796 | + | 0.928714i | \(0.379085\pi\) |
−0.469034 | + | 0.883180i | \(0.655398\pi\) | |||||||
\(440\) | 5.03667 | + | 0.547771i | 0.240114 | + | 0.0261140i | ||||
\(441\) | −3.73413 | − | 1.72759i | −0.177816 | − | 0.0822664i | ||||
\(442\) | −23.4539 | + | 17.8292i | −1.11559 | + | 0.848048i | ||||
\(443\) | −9.14910 | + | 6.95496i | −0.434687 | + | 0.330440i | −0.799527 | − | 0.600630i | \(-0.794917\pi\) |
0.364841 | + | 0.931070i | \(0.381124\pi\) | |||||||
\(444\) | −0.493302 | − | 0.228226i | −0.0234111 | − | 0.0108311i | ||||
\(445\) | 8.98275 | + | 0.976933i | 0.425823 | + | 0.0463110i | ||||
\(446\) | −0.501027 | + | 9.24089i | −0.0237243 | + | 0.437569i | ||||
\(447\) | 0.0727108 | + | 1.34107i | 0.00343910 | + | 0.0634305i | ||||
\(448\) | −1.68875 | + | 0.183662i | −0.0797858 | + | 0.00867722i | ||||
\(449\) | −8.94615 | − | 3.01431i | −0.422195 | − | 0.142254i | 0.100181 | − | 0.994969i | \(-0.468058\pi\) |
−0.522376 | + | 0.852715i | \(0.674954\pi\) | |||||||
\(450\) | −3.23944 | − | 8.13038i | −0.152709 | − | 0.383270i | ||||
\(451\) | 2.93248 | + | 0.645488i | 0.138085 | + | 0.0303948i | ||||
\(452\) | 2.90867 | − | 5.48634i | 0.136812 | − | 0.258056i | ||||
\(453\) | 6.02555 | − | 2.78772i | 0.283105 | − | 0.130978i | ||||
\(454\) | −6.12176 | + | 2.06266i | −0.287309 | + | 0.0968056i | ||||
\(455\) | −28.7447 | − | 33.8409i | −1.34757 | − | 1.58648i | ||||
\(456\) | −1.31536 | + | 0.791425i | −0.0615973 | + | 0.0370619i | ||||
\(457\) | 7.00481 | − | 25.2290i | 0.327671 | − | 1.18016i | −0.597894 | − | 0.801575i | \(-0.703996\pi\) |
0.925565 | − | 0.378589i | \(-0.123591\pi\) | |||||||
\(458\) | 26.2672 | − | 5.78185i | 1.22739 | − | 0.270168i | ||||
\(459\) | 2.34566 | + | 3.45959i | 0.109486 | + | 0.161480i | ||||
\(460\) | −19.8009 | + | 18.7565i | −0.923224 | + | 0.874524i | ||||
\(461\) | 3.13455 | + | 1.88599i | 0.145990 | + | 0.0878395i | 0.586675 | − | 0.809823i | \(-0.300437\pi\) |
−0.440685 | + | 0.897662i | \(0.645264\pi\) | |||||||
\(462\) | −0.375459 | − | 2.29020i | −0.0174679 | − | 0.106550i | ||||
\(463\) | −20.5704 | + | 30.3390i | −0.955986 | + | 1.40997i | −0.0443305 | + | 0.999017i | \(0.514115\pi\) |
−0.911655 | + | 0.410956i | \(0.865195\pi\) | |||||||
\(464\) | 2.32168 | − | 5.82697i | 0.107781 | − | 0.270510i | ||||
\(465\) | 7.88485 | − | 9.28276i | 0.365651 | − | 0.430478i | ||||
\(466\) | −1.16920 | + | 7.13181i | −0.0541622 | + | 0.330375i | ||||
\(467\) | −18.3533 | − | 17.3852i | −0.849289 | − | 0.804489i | 0.133146 | − | 0.991096i | \(-0.457492\pi\) |
−0.982435 | + | 0.186607i | \(0.940251\pi\) | |||||||
\(468\) | 1.88566 | + | 6.79154i | 0.0871647 | + | 0.313939i | ||||
\(469\) | 1.22595 | + | 2.31239i | 0.0566091 | + | 0.106776i | ||||
\(470\) | 30.0379 | + | 22.8342i | 1.38555 | + | 1.05327i | ||||
\(471\) | −12.4938 | −0.575682 | ||||||||
\(472\) | −2.73659 | + | 7.17712i | −0.125962 | + | 0.330354i | ||||
\(473\) | 3.87412 | 0.178132 | ||||||||
\(474\) | 0.448849 | + | 0.341206i | 0.0206163 | + | 0.0156721i | ||||
\(475\) | 6.29313 | + | 11.8701i | 0.288749 | + | 0.544638i | ||||
\(476\) | −1.89953 | − | 6.84147i | −0.0870646 | − | 0.313578i | ||||
\(477\) | 7.19107 | + | 6.81174i | 0.329256 | + | 0.311888i | ||||
\(478\) | −1.00424 | + | 6.12558i | −0.0459328 | + | 0.280177i | ||||
\(479\) | 0.279934 | − | 0.329563i | 0.0127905 | − | 0.0150581i | −0.755730 | − | 0.654884i | \(-0.772718\pi\) |
0.768520 | + | 0.639826i | \(0.220993\pi\) | |||||||
\(480\) | 1.37261 | − | 3.44499i | 0.0626507 | − | 0.157241i | ||||
\(481\) | 2.14996 | − | 3.17096i | 0.0980299 | − | 0.144583i | ||||
\(482\) | −3.26364 | − | 19.9073i | −0.148655 | − | 0.906755i | ||||
\(483\) | 10.7052 | + | 6.44112i | 0.487104 | + | 0.293081i | ||||
\(484\) | 6.63088 | − | 6.28110i | 0.301403 | − | 0.285504i | ||||
\(485\) | 3.34511 | + | 4.93367i | 0.151894 | + | 0.224027i | ||||
\(486\) | 0.976621 | − | 0.214970i | 0.0443004 | − | 0.00975126i | ||||
\(487\) | −1.38628 | + | 4.99293i | −0.0628183 | + | 0.226251i | −0.988295 | − | 0.152553i | \(-0.951251\pi\) |
0.925477 | + | 0.378804i | \(0.123664\pi\) | |||||||
\(488\) | 1.98058 | − | 1.19167i | 0.0896566 | − | 0.0539446i | ||||
\(489\) | 9.85136 | + | 11.5979i | 0.445494 | + | 0.524476i | ||||
\(490\) | −14.4590 | + | 4.87181i | −0.653192 | + | 0.220086i | ||||
\(491\) | 28.8824 | − | 13.3624i | 1.30344 | − | 0.603038i | 0.359501 | − | 0.933145i | \(-0.382947\pi\) |
0.943943 | + | 0.330107i | \(0.107085\pi\) | |||||||
\(492\) | 1.02948 | − | 1.94181i | 0.0464127 | − | 0.0875436i | ||||
\(493\) | 25.6048 | + | 5.63604i | 1.15318 | + | 0.253834i | ||||
\(494\) | −4.00492 | − | 10.0516i | −0.180190 | − | 0.452242i | ||||
\(495\) | 4.80117 | + | 1.61770i | 0.215796 | + | 0.0727103i | ||||
\(496\) | 3.26508 | − | 0.355099i | 0.146606 | − | 0.0159444i | ||||
\(497\) | 1.35555 | + | 25.0017i | 0.0608049 | + | 1.12148i | ||||
\(498\) | −0.793201 | + | 14.6297i | −0.0355442 | + | 0.655574i | ||||
\(499\) | 5.98943 | + | 0.651390i | 0.268124 | + | 0.0291602i | 0.241193 | − | 0.970477i | \(-0.422461\pi\) |
0.0269304 | + | 0.999637i | \(0.491427\pi\) | |||||||
\(500\) | −12.6277 | − | 5.84221i | −0.564729 | − | 0.261271i | ||||
\(501\) | 4.86504 | − | 3.69830i | 0.217354 | − | 0.165228i | ||||
\(502\) | −22.5574 | + | 17.1477i | −1.00679 | + | 0.765340i | ||||
\(503\) | 29.3075 | + | 13.5591i | 1.30676 | + | 0.604570i | 0.944807 | − | 0.327627i | \(-0.106249\pi\) |
0.361950 | + | 0.932197i | \(0.382111\pi\) | |||||||
\(504\) | −1.68875 | − | 0.183662i | −0.0752227 | − | 0.00818097i | ||||
\(505\) | −1.73376 | + | 31.9774i | −0.0771514 | + | 1.42297i | ||||
\(506\) | −0.543994 | − | 10.0334i | −0.0241835 | − | 0.446038i | ||||
\(507\) | −36.4656 | + | 3.96588i | −1.61950 | + | 0.176131i | ||||
\(508\) | −13.4112 | − | 4.51876i | −0.595026 | − | 0.200488i | ||||
\(509\) | 14.1153 | + | 35.4268i | 0.625651 | + | 1.57027i | 0.809378 | + | 0.587288i | \(0.199805\pi\) |
−0.183727 | + | 0.982977i | \(0.558816\pi\) | |||||||
\(510\) | 15.1379 | + | 3.33211i | 0.670318 | + | 0.147548i | ||||
\(511\) | −11.7287 | + | 22.1226i | −0.518845 | + | 0.978646i | ||||
\(512\) | 0.907575 | − | 0.419889i | 0.0401095 | − | 0.0185567i | ||||
\(513\) | −1.45474 | + | 0.490159i | −0.0642283 | + | 0.0216410i | ||||
\(514\) | 10.1551 | + | 11.9555i | 0.447921 | + | 0.527333i | ||||
\(515\) | −26.8893 | + | 16.1788i | −1.18488 | + | 0.712922i | ||||
\(516\) | 0.758627 | − | 2.73233i | 0.0333967 | − | 0.120284i | ||||
\(517\) | −13.5758 | + | 2.98825i | −0.597061 | + | 0.131423i | ||||
\(518\) | 0.518150 | + | 0.764214i | 0.0227662 | + | 0.0335776i | ||||
\(519\) | −18.5413 | + | 17.5633i | −0.813874 | + | 0.770942i | ||||
\(520\) | 22.3967 | + | 13.4757i | 0.982162 | + | 0.590947i | ||||
\(521\) | −2.66333 | − | 16.2456i | −0.116683 | − | 0.711734i | −0.978768 | − | 0.204970i | \(-0.934290\pi\) |
0.862085 | − | 0.506763i | \(-0.169158\pi\) | |||||||
\(522\) | 3.52002 | − | 5.19164i | 0.154067 | − | 0.227232i | ||||
\(523\) | 13.4937 | − | 33.8667i | 0.590040 | − | 1.48089i | −0.265998 | − | 0.963974i | \(-0.585701\pi\) |
0.856037 | − | 0.516914i | \(-0.172919\pi\) | |||||||
\(524\) | 6.26489 | − | 7.37560i | 0.273683 | − | 0.322205i | ||||
\(525\) | −2.40522 | + | 14.6712i | −0.104972 | + | 0.640302i | ||||
\(526\) | 2.75143 | + | 2.60629i | 0.119968 | + | 0.113640i | ||||
\(527\) | 3.67261 | + | 13.2275i | 0.159981 | + | 0.576201i | ||||
\(528\) | 0.639940 | + | 1.20706i | 0.0278498 | + | 0.0525303i | ||||
\(529\) | 24.7527 | + | 18.8165i | 1.07621 | + | 0.818110i | ||||
\(530\) | 36.7318 | 1.59553 | ||||||||
\(531\) | −4.21548 | + | 6.42104i | −0.182936 | + | 0.278649i | ||||
\(532\) | 2.60768 | 0.113057 | ||||||||
\(533\) | 12.3325 | + | 9.37494i | 0.534181 | + | 0.406074i | ||||
\(534\) | 1.14131 | + | 2.15274i | 0.0493894 | + | 0.0931584i | ||||
\(535\) | 10.4292 | + | 37.5627i | 0.450895 | + | 1.62398i | ||||
\(536\) | −1.11857 | − | 1.05957i | −0.0483150 | − | 0.0457664i | ||||
\(537\) | 1.84105 | − | 11.2299i | 0.0794473 | − | 0.484607i | ||||
\(538\) | −7.50262 | + | 8.83277i | −0.323461 | + | 0.380808i | ||||
\(539\) | 2.08059 | − | 5.22188i | 0.0896172 | − | 0.224922i | ||||
\(540\) | 2.08109 | − | 3.06937i | 0.0895557 | − | 0.132085i | ||||
\(541\) | 3.86629 | + | 23.5833i | 0.166225 | + | 1.01393i | 0.929762 | + | 0.368162i | \(0.120013\pi\) |
−0.763537 | + | 0.645764i | \(0.776539\pi\) | |||||||
\(542\) | −25.1662 | − | 15.1420i | −1.08098 | − | 0.650403i | ||||
\(543\) | 1.53103 | − | 1.45026i | 0.0657026 | − | 0.0622368i | ||||
\(544\) | 2.34566 | + | 3.45959i | 0.100569 | + | 0.148329i | ||||
\(545\) | 56.3273 | − | 12.3986i | 2.41280 | − | 0.531097i | ||||
\(546\) | 3.20318 | − | 11.5368i | 0.137083 | − | 0.493730i | ||||
\(547\) | −8.68686 | + | 5.22671i | −0.371423 | + | 0.223478i | −0.689011 | − | 0.724751i | \(-0.741955\pi\) |
0.317588 | + | 0.948229i | \(0.397127\pi\) | |||||||
\(548\) | −13.5803 | − | 15.9879i | −0.580120 | − | 0.682970i | ||||
\(549\) | 2.19045 | − | 0.738048i | 0.0934861 | − | 0.0314991i | ||||
\(550\) | 10.8518 | − | 5.02060i | 0.462724 | − | 0.214079i | ||||
\(551\) | −4.51023 | + | 8.50719i | −0.192142 | + | 0.362418i | ||||
\(552\) | −7.18283 | − | 1.58106i | −0.305721 | − | 0.0672944i | ||||
\(553\) | −0.354501 | − | 0.889731i | −0.0150749 | − | 0.0378352i | ||||
\(554\) | −12.4308 | − | 4.18841i | −0.528132 | − | 0.177948i | ||||
\(555\) | −2.00382 | + | 0.217929i | −0.0850575 | + | 0.00925056i | ||||
\(556\) | 0.0970716 | + | 1.79038i | 0.00411675 | + | 0.0759290i | ||||
\(557\) | −1.60606 | + | 29.6221i | −0.0680511 | + | 1.25513i | 0.742655 | + | 0.669674i | \(0.233566\pi\) |
−0.810706 | + | 0.585454i | \(0.800916\pi\) | |||||||
\(558\) | 3.26508 | + | 0.355099i | 0.138222 | + | 0.0150325i | ||||
\(559\) | 18.1399 | + | 8.39241i | 0.767236 | + | 0.354961i | ||||
\(560\) | −5.01492 | + | 3.81224i | −0.211919 | + | 0.161097i | ||||
\(561\) | −4.54607 | + | 3.45583i | −0.191935 | + | 0.145905i | ||||
\(562\) | −23.7605 | − | 10.9928i | −1.00227 | − | 0.463701i | ||||
\(563\) | −1.64318 | − | 0.178706i | −0.0692517 | − | 0.00753158i | 0.0734276 | − | 0.997301i | \(-0.476606\pi\) |
−0.142679 | + | 0.989769i | \(0.545572\pi\) | |||||||
\(564\) | −0.550850 | + | 10.1598i | −0.0231950 | + | 0.427806i | ||||
\(565\) | −1.24670 | − | 22.9940i | −0.0524491 | − | 0.967366i | ||||
\(566\) | 24.4001 | − | 2.65367i | 1.02561 | − | 0.111542i | ||||
\(567\) | −1.60978 | − | 0.542399i | −0.0676045 | − | 0.0227786i | ||||
\(568\) | −5.45574 | − | 13.6929i | −0.228918 | − | 0.574540i | ||||
\(569\) | 2.87968 | + | 0.633866i | 0.120723 | + | 0.0265730i | 0.274921 | − | 0.961467i | \(-0.411348\pi\) |
−0.154198 | + | 0.988040i | \(0.549279\pi\) | |||||||
\(570\) | −2.66651 | + | 5.02957i | −0.111688 | + | 0.210666i | ||||
\(571\) | −14.3600 | + | 6.64363i | −0.600946 | + | 0.278027i | −0.696682 | − | 0.717380i | \(-0.745341\pi\) |
0.0957368 | + | 0.995407i | \(0.469479\pi\) | |||||||
\(572\) | −9.12553 | + | 3.07475i | −0.381557 | + | 0.128562i | ||||
\(573\) | −3.10298 | − | 3.65311i | −0.129629 | − | 0.152611i | ||||
\(574\) | −3.19905 | + | 1.92480i | −0.133526 | + | 0.0803397i | ||||
\(575\) | −17.2205 | + | 62.0226i | −0.718144 | + | 2.58652i | ||||
\(576\) | 0.976621 | − | 0.214970i | 0.0406925 | − | 0.00895710i | ||||
\(577\) | 9.98796 | + | 14.7311i | 0.415804 | + | 0.613266i | 0.976697 | − | 0.214623i | \(-0.0688523\pi\) |
−0.560893 | + | 0.827889i | \(0.689542\pi\) | |||||||
\(578\) | −0.341866 | + | 0.323833i | −0.0142198 | + | 0.0134697i | ||||
\(579\) | 6.70986 | + | 4.03719i | 0.278852 | + | 0.167780i | ||||
\(580\) | −3.76314 | − | 22.9541i | −0.156256 | − | 0.953119i | ||||
\(581\) | 13.9669 | − | 20.5996i | 0.579443 | − | 0.854615i | ||||
\(582\) | −0.594956 | + | 1.49323i | −0.0246617 | + | 0.0618962i | ||||
\(583\) | −8.76068 | + | 10.3139i | −0.362830 | + | 0.427157i | ||||
\(584\) | 2.38471 | − | 14.5461i | 0.0986801 | − | 0.601922i | ||||
\(585\) | 18.9762 | + | 17.9753i | 0.784571 | + | 0.743185i | ||||
\(586\) | −4.60100 | − | 16.5713i | −0.190066 | − | 0.684554i | ||||
\(587\) | 0.633315 | + | 1.19456i | 0.0261397 | + | 0.0493047i | 0.896238 | − | 0.443574i | \(-0.146290\pi\) |
−0.870098 | + | 0.492878i | \(0.835945\pi\) | |||||||
\(588\) | −3.27545 | − | 2.48993i | −0.135077 | − | 0.102683i | ||||
\(589\) | −5.04177 | −0.207743 | ||||||||
\(590\) | 5.02604 | + | 28.0376i | 0.206919 | + | 1.15429i | ||||
\(591\) | −2.60630 | −0.107209 | ||||||||
\(592\) | −0.432707 | − | 0.328935i | −0.0177841 | − | 0.0135192i | ||||
\(593\) | 8.46009 | + | 15.9574i | 0.347414 | + | 0.655293i | 0.994220 | − | 0.107362i | \(-0.0342403\pi\) |
−0.646806 | + | 0.762655i | \(0.723895\pi\) | |||||||
\(594\) | 0.365498 | + | 1.31640i | 0.0149965 | + | 0.0540127i | ||||
\(595\) | −19.1158 | − | 18.1074i | −0.783670 | − | 0.742332i | ||||
\(596\) | −0.217280 | + | 1.32535i | −0.00890013 | + | 0.0542884i | ||||
\(597\) | −2.90673 | + | 3.42206i | −0.118964 | + | 0.140056i | ||||
\(598\) | 19.1879 | − | 48.1580i | 0.784651 | − | 1.96933i | ||||
\(599\) | 3.20003 | − | 4.71969i | 0.130750 | − | 0.192841i | −0.756679 | − | 0.653787i | \(-0.773179\pi\) |
0.887428 | + | 0.460945i | \(0.152490\pi\) | |||||||
\(600\) | −1.41591 | − | 8.63668i | −0.0578044 | − | 0.352591i | ||||
\(601\) | −13.4610 | − | 8.09919i | −0.549084 | − | 0.330373i | 0.213832 | − | 0.976870i | \(-0.431405\pi\) |
−0.762916 | + | 0.646498i | \(0.776233\pi\) | |||||||
\(602\) | −3.49712 | + | 3.31264i | −0.142532 | + | 0.135013i | ||||
\(603\) | −0.864645 | − | 1.27526i | −0.0352111 | − | 0.0519324i | ||||
\(604\) | 6.48396 | − | 1.42723i | 0.263828 | − | 0.0580730i | ||||
\(605\) | 9.06127 | − | 32.6358i | 0.368393 | − | 1.32683i | ||||
\(606\) | −7.39956 | + | 4.45217i | −0.300587 | + | 0.180857i | ||||
\(607\) | 11.9686 | + | 14.0905i | 0.485790 | + | 0.571916i | 0.949379 | − | 0.314134i | \(-0.101714\pi\) |
−0.463588 | + | 0.886051i | \(0.653438\pi\) | |||||||
\(608\) | −1.45474 | + | 0.490159i | −0.0589975 | + | 0.0198786i | ||||
\(609\) | −9.67026 | + | 4.47394i | −0.391859 | + | 0.181293i | ||||
\(610\) | 4.01505 | − | 7.57319i | 0.162565 | − | 0.306629i | ||||
\(611\) | −70.0395 | − | 15.4169i | −2.83350 | − | 0.623700i | ||||
\(612\) | 1.54711 | + | 3.88296i | 0.0625382 | + | 0.156959i | ||||
\(613\) | 5.24594 | + | 1.76756i | 0.211882 | + | 0.0713912i | 0.423241 | − | 0.906017i | \(-0.360892\pi\) |
−0.211359 | + | 0.977408i | \(0.567789\pi\) | |||||||
\(614\) | −0.387299 | + | 0.0421213i | −0.0156301 | + | 0.00169988i | ||||
\(615\) | −0.441252 | − | 8.13841i | −0.0177930 | − | 0.328172i | ||||
\(616\) | 0.125644 | − | 2.31737i | 0.00506234 | − | 0.0933694i | ||||
\(617\) | 6.81345 | + | 0.741007i | 0.274299 | + | 0.0298318i | 0.244235 | − | 0.969716i | \(-0.421463\pi\) |
0.0300643 | + | 0.999548i | \(0.490429\pi\) | |||||||
\(618\) | −7.68018 | − | 3.55323i | −0.308942 | − | 0.142932i | ||||
\(619\) | −11.1368 | + | 8.46596i | −0.447625 | + | 0.340276i | −0.804578 | − | 0.593847i | \(-0.797609\pi\) |
0.356953 | + | 0.934122i | \(0.383815\pi\) | |||||||
\(620\) | 9.69602 | − | 7.37073i | 0.389402 | − | 0.296015i | ||||
\(621\) | −6.67501 | − | 3.08819i | −0.267859 | − | 0.123925i | ||||
\(622\) | 22.5603 | + | 2.45358i | 0.904586 | + | 0.0983796i | ||||
\(623\) | 0.224082 | − | 4.13295i | 0.00897766 | − | 0.165583i | ||||
\(624\) | 0.381595 | + | 7.03811i | 0.0152760 | + | 0.281750i | ||||
\(625\) | −7.79124 | + | 0.847349i | −0.311650 | + | 0.0338939i | ||||
\(626\) | 18.1790 | + | 6.12523i | 0.726580 | + | 0.244813i | ||||
\(627\) | −0.776273 | − | 1.94830i | −0.0310014 | − | 0.0778075i | ||||
\(628\) | −12.2017 | − | 2.68579i | −0.486900 | − | 0.107175i | ||||
\(629\) | 1.06417 | − | 2.00724i | 0.0424314 | − | 0.0800340i | ||||
\(630\) | −5.71719 | + | 2.64506i | −0.227778 | + | 0.105382i | ||||
\(631\) | 5.55096 | − | 1.87034i | 0.220980 | − | 0.0744569i | −0.206634 | − | 0.978418i | \(-0.566251\pi\) |
0.427614 | + | 0.903961i | \(0.359354\pi\) | |||||||
\(632\) | 0.365006 | + | 0.429718i | 0.0145192 | + | 0.0170933i | ||||
\(633\) | 14.1739 | − | 8.52817i | 0.563363 | − | 0.338964i | ||||
\(634\) | 0.775566 | − | 2.79334i | 0.0308017 | − | 0.110938i | ||||
\(635\) | −51.2539 | + | 11.2818i | −2.03395 | + | 0.447706i | ||||
\(636\) | 5.55862 | + | 8.19835i | 0.220414 | + | 0.325086i | ||||
\(637\) | 21.0540 | − | 19.9434i | 0.834190 | − | 0.790187i | ||||
\(638\) | 7.34278 | + | 4.41801i | 0.290704 | + | 0.174911i | ||||
\(639\) | −2.38462 | − | 14.5456i | −0.0943342 | − | 0.575413i | ||||
\(640\) | 2.08109 | − | 3.06937i | 0.0822622 | − | 0.121328i | ||||
\(641\) | −2.10977 | + | 5.29512i | −0.0833309 | + | 0.209145i | −0.964738 | − | 0.263213i | \(-0.915218\pi\) |
0.881407 | + | 0.472358i | \(0.156597\pi\) | |||||||
\(642\) | −6.80556 | + | 8.01213i | −0.268594 | + | 0.316213i | ||||
\(643\) | 6.24965 | − | 38.1212i | 0.246462 | − | 1.50335i | −0.516151 | − | 0.856498i | \(-0.672636\pi\) |
0.762613 | − | 0.646855i | \(-0.223916\pi\) | |||||||
\(644\) | 9.07029 | + | 8.59183i | 0.357419 | + | 0.338566i | ||||
\(645\) | −2.81327 | − | 10.1325i | −0.110772 | − | 0.398965i | ||||
\(646\) | −3.00551 | − | 5.66899i | −0.118250 | − | 0.223044i | ||||
\(647\) | 28.9022 | + | 21.9709i | 1.13626 | + | 0.863765i | 0.992058 | − | 0.125783i | \(-0.0401442\pi\) |
0.144206 | + | 0.989548i | \(0.453937\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | −9.07136 | − | 5.27582i | −0.356082 | − | 0.207094i | ||||
\(650\) | 61.6879 | 2.41960 | ||||||||
\(651\) | −4.44149 | − | 3.37633i | −0.174076 | − | 0.132329i | ||||
\(652\) | 7.12783 | + | 13.4445i | 0.279147 | + | 0.526528i | ||||
\(653\) | −0.346512 | − | 1.24802i | −0.0135600 | − | 0.0488389i | 0.956460 | − | 0.291862i | \(-0.0942748\pi\) |
−0.970021 | + | 0.243023i | \(0.921861\pi\) | |||||||
\(654\) | 11.2913 | + | 10.6957i | 0.441525 | + | 0.418235i | ||||
\(655\) | 5.80581 | − | 35.4139i | 0.226852 | − | 1.38373i | ||||
\(656\) | 1.42285 | − | 1.67510i | 0.0555528 | − | 0.0654018i | ||||
\(657\) | 5.45594 | − | 13.6934i | 0.212856 | − | 0.534230i | ||||
\(658\) | 9.69949 | − | 14.3057i | 0.378126 | − | 0.557694i | ||||
\(659\) | −1.15873 | − | 7.06792i | −0.0451376 | − | 0.275327i | 0.954608 | − | 0.297864i | \(-0.0962741\pi\) |
−0.999746 | + | 0.0225365i | \(0.992826\pi\) | |||||||
\(660\) | 4.34116 | + | 2.61199i | 0.168979 | + | 0.101672i | ||||
\(661\) | 29.6589 | − | 28.0944i | 1.15360 | − | 1.09275i | 0.159180 | − | 0.987250i | \(-0.449115\pi\) |
0.994420 | − | 0.105498i | \(-0.0336436\pi\) | |||||||
\(662\) | −1.96701 | − | 2.90112i | −0.0764500 | − | 0.112755i | ||||
\(663\) | −28.7725 | + | 6.33330i | −1.11743 | + | 0.245965i | ||||
\(664\) | −3.91961 | + | 14.1172i | −0.152111 | + | 0.547853i | ||||
\(665\) | 8.28599 | − | 4.98552i | 0.321317 | − | 0.193330i | ||||
\(666\) | −0.351879 | − | 0.414264i | −0.0136350 | − | 0.0160524i | ||||
\(667\) | −43.7176 | + | 14.7302i | −1.69275 | + | 0.570355i | ||||
\(668\) | 5.54632 | − | 2.56600i | 0.214594 | − | 0.0992816i | ||||
\(669\) | −4.33487 | + | 8.17643i | −0.167596 | + | 0.316119i | ||||
\(670\) | −5.58006 | − | 1.22826i | −0.215576 | − | 0.0474520i | ||||
\(671\) | 1.16886 | + | 2.93362i | 0.0451233 | + | 0.113251i | ||||
\(672\) | −1.60978 | − | 0.542399i | −0.0620987 | − | 0.0209235i | ||||
\(673\) | 13.8858 | − | 1.51018i | 0.535260 | − | 0.0582130i | 0.163502 | − | 0.986543i | \(-0.447721\pi\) |
0.371757 | + | 0.928330i | \(0.378755\pi\) | |||||||
\(674\) | −1.44637 | − | 26.6768i | −0.0557122 | − | 1.02755i | ||||
\(675\) | 0.473822 | − | 8.73914i | 0.0182374 | − | 0.336370i | ||||
\(676\) | −36.4656 | − | 3.96588i | −1.40252 | − | 0.152534i | ||||
\(677\) | 30.4526 | + | 14.0889i | 1.17039 | + | 0.541480i | 0.906141 | − | 0.422975i | \(-0.139014\pi\) |
0.264248 | + | 0.964455i | \(0.414876\pi\) | |||||||
\(678\) | 4.94349 | − | 3.75794i | 0.189854 | − | 0.144323i | ||||
\(679\) | 2.17371 | − | 1.65241i | 0.0834195 | − | 0.0634138i | ||||
\(680\) | 14.0677 | + | 6.50841i | 0.539471 | + | 0.249586i | ||||
\(681\) | −6.42205 | − | 0.698440i | −0.246094 | − | 0.0267643i | ||||
\(682\) | −0.242925 | + | 4.48048i | −0.00930207 | + | 0.171567i | ||||
\(683\) | −2.13600 | − | 39.3962i | −0.0817317 | − | 1.50745i | −0.695820 | − | 0.718216i | \(-0.744959\pi\) |
0.614088 | − | 0.789237i | \(-0.289524\pi\) | |||||||
\(684\) | −1.52610 | + | 0.165973i | −0.0583518 | + | 0.00634614i | ||||
\(685\) | −73.7186 | − | 24.8387i | −2.81664 | − | 0.949037i | ||||
\(686\) | 6.98824 | + | 17.5392i | 0.266812 | + | 0.669648i | ||||
\(687\) | 26.2672 | + | 5.78185i | 1.00216 | + | 0.220591i | ||||
\(688\) | 1.32826 | − | 2.50536i | 0.0506394 | − | 0.0955161i | ||||
\(689\) | −63.3630 | + | 29.3149i | −2.41394 | + | 1.11681i | ||||
\(690\) | −25.8465 | + | 8.70869i | −0.983959 | + | 0.331534i | ||||
\(691\) | −8.04323 | − | 9.46922i | −0.305979 | − | 0.360226i | 0.587585 | − | 0.809163i | \(-0.300079\pi\) |
−0.893564 | + | 0.448936i | \(0.851803\pi\) | |||||||
\(692\) | −21.8834 | + | 13.1668i | −0.831883 | + | 0.500527i | ||||
\(693\) | 0.620872 | − | 2.23618i | 0.0235850 | − | 0.0849454i | ||||
\(694\) | −5.23382 | + | 1.15205i | −0.198673 | + | 0.0437313i | ||||
\(695\) | 3.73141 | + | 5.50342i | 0.141540 | + | 0.208757i | ||||
\(696\) | 4.55377 | − | 4.31356i | 0.172610 | − | 0.163505i | ||||
\(697\) | 7.87155 | + | 4.73616i | 0.298156 | + | 0.179395i | ||||
\(698\) | 2.43582 | + | 14.8578i | 0.0921971 | + | 0.562377i | ||||
\(699\) | −4.05571 | + | 5.98172i | −0.153401 | + | 0.226249i | ||||
\(700\) | −5.50285 | + | 13.8111i | −0.207988 | + | 0.522011i | ||||
\(701\) | 3.98205 | − | 4.68803i | 0.150400 | − | 0.177065i | −0.681803 | − | 0.731536i | \(-0.738804\pi\) |
0.832203 | + | 0.554472i | \(0.187080\pi\) | |||||||
\(702\) | −1.14031 | + | 6.95560i | −0.0430383 | + | 0.262522i | ||||
\(703\) | 0.605759 | + | 0.573805i | 0.0228466 | + | 0.0216415i | ||||
\(704\) | 0.365498 | + | 1.31640i | 0.0137752 | + | 0.0496138i | ||||
\(705\) | 17.6738 | + | 33.3364i | 0.665635 | + | 1.25552i | ||||
\(706\) | 18.6568 | + | 14.1825i | 0.702156 | + | 0.533765i | ||||
\(707\) | 14.6695 | 0.551703 | ||||||||
\(708\) | −5.49726 | + | 5.36471i | −0.206600 | + | 0.201618i | ||||
\(709\) | −20.6536 | −0.775661 | −0.387830 | − | 0.921731i | \(-0.626775\pi\) | ||||
−0.387830 | + | 0.921731i | \(0.626775\pi\) | |||||||
\(710\) | −43.5147 | − | 33.0790i | −1.63308 | − | 1.24143i | ||||
\(711\) | 0.264096 | + | 0.498137i | 0.00990436 | + | 0.0186816i | ||||
\(712\) | 0.651853 | + | 2.34776i | 0.0244292 | + | 0.0879861i | ||||
\(713\) | −17.5368 | − | 16.6118i | −0.656759 | − | 0.622115i | ||||
\(714\) | 1.14870 | − | 7.00674i | 0.0429889 | − | 0.262221i | ||||
\(715\) | −23.1182 | + | 27.2169i | −0.864573 | + | 1.01785i | ||||
\(716\) | 4.21211 | − | 10.5716i | 0.157414 | − | 0.395079i | ||||
\(717\) | −3.48348 | + | 5.13776i | −0.130093 | + | 0.191873i | ||||
\(718\) | 2.84642 | + | 17.3624i | 0.106227 | + | 0.647958i | ||||
\(719\) | −25.5854 | − | 15.3942i | −0.954174 | − | 0.574108i | −0.0488397 | − | 0.998807i | \(-0.515552\pi\) |
−0.905335 | + | 0.424699i | \(0.860380\pi\) | |||||||
\(720\) | 2.69226 | − | 2.55024i | 0.100334 | − | 0.0950419i | ||||
\(721\) | 8.06704 | + | 11.8980i | 0.300432 | + | 0.443104i | ||||
\(722\) | −16.2544 | + | 3.57786i | −0.604925 | + | 0.133154i | ||||
\(723\) | 5.39688 | − | 19.4378i | 0.200712 | − | 0.722899i | ||||
\(724\) | 1.80699 | − | 1.08723i | 0.0671564 | − | 0.0404067i | ||||
\(725\) | −35.5392 | − | 41.8399i | −1.31989 | − | 1.55390i | ||||
\(726\) | 8.65538 | − | 2.91634i | 0.321231 | − | 0.108235i | ||||
\(727\) | 31.7791 | − | 14.7026i | 1.17862 | − | 0.545289i | 0.269981 | − | 0.962866i | \(-0.412982\pi\) |
0.908642 | + | 0.417576i | \(0.137120\pi\) | |||||||
\(728\) | 5.60836 | − | 10.5785i | 0.207860 | − | 0.392065i | ||||
\(729\) | 0.976621 | + | 0.214970i | 0.0361711 | + | 0.00796187i | ||||
\(730\) | −20.2326 | − | 50.7800i | −0.748843 | − | 1.87945i | ||||
\(731\) | 11.2322 | + | 3.78457i | 0.415438 | + | 0.139977i | ||||
\(732\) | 2.29790 | − | 0.249911i | 0.0849327 | − | 0.00923699i | ||||
\(733\) | 0.209846 | + | 3.87039i | 0.00775085 | + | 0.142956i | 0.999847 | + | 0.0174780i | \(0.00556369\pi\) |
−0.992096 | + | 0.125478i | \(0.959954\pi\) | |||||||
\(734\) | 1.08101 | − | 19.9380i | 0.0399007 | − | 0.735926i | ||||
\(735\) | −15.1683 | − | 1.64965i | −0.559490 | − | 0.0608482i | ||||
\(736\) | −6.67501 | − | 3.08819i | −0.246044 | − | 0.113832i | ||||
\(737\) | 1.67575 | − | 1.27387i | 0.0617270 | − | 0.0469236i | ||||
\(738\) | 1.74968 | − | 1.33007i | 0.0644065 | − | 0.0489606i | ||||
\(739\) | 39.4727 | + | 18.2620i | 1.45203 | + | 0.671779i | 0.977976 | − | 0.208719i | \(-0.0669293\pi\) |
0.474051 | + | 0.880498i | \(0.342791\pi\) | |||||||
\(740\) | −2.00382 | − | 0.217929i | −0.0736620 | − | 0.00801122i | ||||
\(741\) | 0.585786 | − | 10.8042i | 0.0215194 | − | 0.396902i | ||||
\(742\) | −0.910933 | − | 16.8012i | −0.0334414 | − | 0.616791i | ||||
\(743\) | 21.5904 | − | 2.34810i | 0.792075 | − | 0.0861434i | 0.296868 | − | 0.954918i | \(-0.404058\pi\) |
0.495207 | + | 0.868775i | \(0.335092\pi\) | |||||||
\(744\) | 3.11241 | + | 1.04869i | 0.114106 | + | 0.0384469i | ||||
\(745\) | 1.84347 | + | 4.62676i | 0.0675394 | + | 0.169511i | ||||
\(746\) | 5.82622 | + | 1.28245i | 0.213313 | + | 0.0469537i | ||||
\(747\) | −6.86275 | + | 12.9445i | −0.251095 | + | 0.473615i | ||||
\(748\) | −5.18269 | + | 2.39777i | −0.189498 | + | 0.0876710i | ||||
\(749\) | 16.9226 | − | 5.70189i | 0.618339 | − | 0.208343i | ||||
\(750\) | −9.00753 | − | 10.6045i | −0.328909 | − | 0.387221i | ||||
\(751\) | −10.6114 | + | 6.38467i | −0.387216 | + | 0.232980i | −0.695829 | − | 0.718208i | \(-0.744963\pi\) |
0.308613 | + | 0.951188i | \(0.400135\pi\) | |||||||
\(752\) | −2.72203 | + | 9.80388i | −0.0992624 | + | 0.357511i | ||||
\(753\) | −27.6727 | + | 6.09122i | −1.00845 | + | 0.221976i | ||||
\(754\) | 24.8107 | + | 36.5930i | 0.903552 | + | 1.33264i | ||||
\(755\) | 17.8744 | − | 16.9315i | 0.650515 | − | 0.616200i | ||||
\(756\) | −1.45555 | − | 0.875773i | −0.0529377 | − | 0.0318516i | ||||
\(757\) | 0.761180 | + | 4.64299i | 0.0276656 | + | 0.168752i | 0.997045 | − | 0.0768133i | \(-0.0244745\pi\) |
−0.969380 | + | 0.245566i | \(0.921026\pi\) | |||||||
\(758\) | 16.9878 | − | 25.0552i | 0.617026 | − | 0.910046i | ||||
\(759\) | 3.71919 | − | 9.33446i | 0.134998 | − | 0.338819i | ||||
\(760\) | −3.68538 | + | 4.33876i | −0.133683 | + | 0.157383i | ||||
\(761\) | −1.52651 | + | 9.31129i | −0.0553359 | + | 0.337534i | 0.944620 | + | 0.328166i | \(0.106430\pi\) |
−0.999956 | + | 0.00936852i | \(0.997018\pi\) | |||||||
\(762\) | −10.2743 | − | 9.73233i | −0.372199 | − | 0.352565i | ||||
\(763\) | −7.06803 | − | 25.4567i | −0.255880 | − | 0.921596i | ||||
\(764\) | −2.24513 | − | 4.23476i | −0.0812258 | − | 0.153208i | ||||
\(765\) | 12.3397 | + | 9.38038i | 0.446142 | + | 0.339148i | ||||
\(766\) | 5.68462 | 0.205394 | ||||||||
\(767\) | −31.0462 | − | 44.3542i | −1.12101 | − | 1.60154i | ||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | −8.38874 | − | 6.37696i | −0.302506 | − | 0.229959i | 0.442898 | − | 0.896572i | \(-0.353950\pi\) |
−0.745404 | + | 0.666613i | \(0.767743\pi\) | |||||||
\(770\) | −4.03125 | − | 7.60374i | −0.145276 | − | 0.274020i | ||||
\(771\) | 4.19652 | + | 15.1145i | 0.151134 | + | 0.544335i | ||||
\(772\) | 5.68511 | + | 5.38522i | 0.204612 | + | 0.193818i | ||||
\(773\) | −5.11044 | + | 31.1723i | −0.183810 | + | 1.12119i | 0.720228 | + | 0.693738i | \(0.244037\pi\) |
−0.904038 | + | 0.427453i | \(0.859411\pi\) | |||||||
\(774\) | 1.83579 | − | 2.16125i | 0.0659859 | − | 0.0776846i | ||||
\(775\) | 10.6394 | − | 26.7029i | 0.382179 | − | 0.959196i | ||||
\(776\) | −0.902045 | + | 1.33042i | −0.0323815 | + | 0.0477592i | ||||
\(777\) | 0.149375 | + | 0.911147i | 0.00535880 | + | 0.0326872i | ||||
\(778\) | 16.7174 | + | 10.0585i | 0.599346 | + | 0.360615i | ||||
\(779\) | −2.44943 | + | 2.32022i | −0.0877598 | + | 0.0831305i | ||||
\(780\) | 14.6684 | + | 21.6343i | 0.525214 | + | 0.774633i | ||||
\(781\) | 19.6666 | − | 4.32895i | 0.703728 | − | 0.154902i | ||||
\(782\) | 8.22426 | − | 29.6211i | 0.294099 | − | 1.05925i | ||||
\(783\) | 5.37460 | − | 3.23379i | 0.192073 | − | 0.115566i | ||||
\(784\) | −2.66361 | − | 3.13584i | −0.0951289 | − | 0.111994i | ||||
\(785\) | −43.9061 | + | 14.7937i | −1.56708 | + | 0.528010i | ||||
\(786\) | 8.78280 | − | 4.06335i | 0.313272 | − | 0.144935i | ||||
\(787\) | 11.3436 | − | 21.3964i | 0.404357 | − | 0.762698i | −0.594795 | − | 0.803877i | \(-0.702767\pi\) |
0.999152 | + | 0.0411796i | \(0.0131116\pi\) | |||||||
\(788\) | −2.54536 | − | 0.560276i | −0.0906748 | − | 0.0199590i | ||||
\(789\) | 1.40277 | + | 3.52070i | 0.0499401 | + | 0.125340i | ||||
\(790\) | 1.98138 | + | 0.667605i | 0.0704944 | + | 0.0237523i | ||||
\(791\) | −10.4866 | + | 1.14049i | −0.372860 | + | 0.0405510i | ||||
\(792\) | 0.0739647 | + | 1.36420i | 0.00262822 | + | 0.0484747i | ||||
\(793\) | −0.882037 | + | 16.2682i | −0.0313221 | + | 0.577701i | ||||
\(794\) | −16.4825 | − | 1.79258i | −0.584943 | − | 0.0636164i | ||||
\(795\) | 33.3369 | + | 15.4233i | 1.18234 | + | 0.547007i | ||||
\(796\) | −3.57441 | + | 2.71720i | −0.126692 | + | 0.0963085i | ||||
\(797\) | 34.4799 | − | 26.2110i | 1.22134 | − | 0.928440i | 0.222425 | − | 0.974950i | \(-0.428603\pi\) |
0.998918 | + | 0.0465095i | \(0.0148098\pi\) | |||||||
\(798\) | 2.36666 | + | 1.09493i | 0.0837789 | + | 0.0387603i | ||||
\(799\) | −42.2793 | − | 4.59815i | −1.49573 | − | 0.162671i | ||||
\(800\) | 0.473822 | − | 8.73914i | 0.0167521 | − | 0.308975i | ||||
\(801\) | 0.131914 | + | 2.43300i | 0.00466094 | + | 0.0859659i | ||||
\(802\) | −12.0214 | + | 1.30741i | −0.424490 | + | 0.0461661i | ||||
\(803\) | 19.0840 | + | 6.43016i | 0.673460 | + | 0.226915i | ||||
\(804\) | −0.570288 | − | 1.43131i | −0.0201125 | − | 0.0504786i | ||||
\(805\) | 45.2476 | + | 9.95975i | 1.59477 | + | 0.351035i | ||||
\(806\) | −10.8434 | + | 20.4528i | −0.381943 | + | 0.720420i | ||||
\(807\) | −10.5180 | + | 4.86614i | −0.370250 | + | 0.171296i | ||||
\(808\) | −8.18365 | + | 2.75739i | −0.287900 | + | 0.0970047i | ||||
\(809\) | 9.92983 | + | 11.6903i | 0.349114 | + | 0.411009i | 0.908491 | − | 0.417904i | \(-0.137235\pi\) |
−0.559377 | + | 0.828914i | \(0.688959\pi\) | |||||||
\(810\) | 3.17754 | − | 1.91186i | 0.111647 | − | 0.0671760i | ||||
\(811\) | 3.04394 | − | 10.9633i | 0.106887 | − | 0.384973i | −0.890684 | − | 0.454622i | \(-0.849774\pi\) |
0.997572 | + | 0.0696493i | \(0.0221880\pi\) | |||||||
\(812\) | −10.4059 | + | 2.29052i | −0.365177 | + | 0.0803815i | ||||
\(813\) | −16.4822 | − | 24.3095i | −0.578057 | − | 0.852571i | ||||
\(814\) | 0.539111 | − | 0.510674i | 0.0188958 | − | 0.0178991i | ||||
\(815\) | 48.3530 | + | 29.0930i | 1.69373 | + | 1.01908i | ||||
\(816\) | 0.676220 | + | 4.12476i | 0.0236724 | + | 0.144395i | ||||
\(817\) | −2.44288 | + | 3.60298i | −0.0854655 | + | 0.126052i | ||||
\(818\) | 12.7587 | − | 32.0219i | 0.446097 | − | 1.11962i | ||||
\(819\) | 7.75131 | − | 9.12554i | 0.270853 | − | 0.318872i | ||||
\(820\) | 1.31858 | − | 8.04299i | 0.0460469 | − | 0.280874i | ||||
\(821\) | −5.92983 | − | 5.61703i | −0.206952 | − | 0.196036i | 0.577202 | − | 0.816601i | \(-0.304144\pi\) |
−0.784155 | + | 0.620566i | \(0.786903\pi\) | |||||||
\(822\) | −5.61196 | − | 20.2125i | −0.195740 | − | 0.704990i | ||||
\(823\) | −16.2928 | − | 30.7315i | −0.567931 | − | 1.07123i | −0.986610 | − | 0.163098i | \(-0.947851\pi\) |
0.418679 | − | 0.908134i | \(-0.362493\pi\) | |||||||
\(824\) | −6.73678 | − | 5.12117i | −0.234687 | − | 0.178404i | ||||
\(825\) | 11.9570 | 0.416288 | ||||||||
\(826\) | 12.6998 | − | 2.99424i | 0.441882 | − | 0.104183i | ||||
\(827\) | 49.1413 | 1.70881 | 0.854405 | − | 0.519608i | \(-0.173922\pi\) | ||||
0.854405 | + | 0.519608i | \(0.173922\pi\) | |||||||
\(828\) | −5.85509 | − | 4.45092i | −0.203478 | − | 0.154680i | ||||
\(829\) | −9.19240 | − | 17.3387i | −0.319265 | − | 0.602198i | 0.670989 | − | 0.741467i | \(-0.265870\pi\) |
−0.990255 | + | 0.139269i | \(0.955525\pi\) | |||||||
\(830\) | 14.5354 | + | 52.3516i | 0.504530 | + | 1.81715i | ||||
\(831\) | −9.52318 | − | 9.02083i | −0.330355 | − | 0.312929i | ||||
\(832\) | −1.14031 | + | 6.95560i | −0.0395332 | + | 0.241142i | ||||
\(833\) | 11.1334 | − | 13.1073i | 0.385750 | − | 0.454140i | ||||
\(834\) | −0.663661 | + | 1.66566i | −0.0229807 | + | 0.0576772i | ||||
\(835\) | 12.7178 | − | 18.7574i | 0.440118 | − | 0.649126i | ||||
\(836\) | −0.339298 | − | 2.06962i | −0.0117349 | − | 0.0715794i | ||||
\(837\) | 2.81421 | + | 1.69325i | 0.0972732 | + | 0.0585273i | ||||
\(838\) | 25.3845 | − | 24.0454i | 0.876892 | − | 0.830636i | ||||
\(839\) | −9.28506 | − | 13.6944i | −0.320556 | − | 0.472785i | 0.632936 | − | 0.774204i | \(-0.281850\pi\) |
−0.953492 | + | 0.301420i | \(0.902539\pi\) | |||||||
\(840\) | −6.15214 | + | 1.35419i | −0.212269 | + | 0.0467239i | ||||
\(841\) | 2.76723 | − | 9.96668i | 0.0954219 | − | 0.343679i | ||||
\(842\) | −18.4768 | + | 11.1171i | −0.636753 | + | 0.383121i | ||||
\(843\) | −16.9487 | − | 19.9535i | −0.583743 | − | 0.687235i | ||||
\(844\) | 15.6758 | − | 5.28181i | 0.539585 | − | 0.181807i | ||||
\(845\) | −123.453 | + | 57.1156i | −4.24692 | + | 1.96483i | ||||
\(846\) | −4.76594 | + | 8.98951i | −0.163856 | + | 0.309066i | ||||
\(847\) | −15.1524 | − | 3.33529i | −0.520642 | − | 0.114602i | ||||
\(848\) | 3.66626 | + | 9.20162i | 0.125900 | + | 0.315985i | ||||
\(849\) | 23.2592 | + | 7.83692i | 0.798252 | + | 0.268962i | ||||
\(850\) | 36.3672 | − | 3.95517i | 1.24739 | − | 0.135661i | ||||
\(851\) | 0.216426 | + | 3.99174i | 0.00741898 | + | 0.136835i | ||||
\(852\) | 0.797993 | − | 14.7181i | 0.0273388 | − | 0.504234i | ||||
\(853\) | 5.86117 | + | 0.637441i | 0.200683 | + | 0.0218256i | 0.207908 | − | 0.978148i | \(-0.433334\pi\) |
−0.00722554 | + | 0.999974i | \(0.502300\pi\) | |||||||
\(854\) | −3.56356 | − | 1.64868i | −0.121943 | − | 0.0564166i | ||||
\(855\) | −4.53192 | + | 3.44508i | −0.154988 | + | 0.117819i | ||||
\(856\) | −8.36882 | + | 6.36181i | −0.286040 | + | 0.217442i | ||||
\(857\) | 20.2629 | + | 9.37460i | 0.692167 | + | 0.320230i | 0.734246 | − | 0.678884i | \(-0.237536\pi\) |
−0.0420790 | + | 0.999114i | \(0.513398\pi\) | |||||||
\(858\) | −9.57316 | − | 1.04114i | −0.326822 | − | 0.0355441i | ||||
\(859\) | −1.80503 | + | 33.2917i | −0.0615867 | + | 1.13590i | 0.790487 | + | 0.612478i | \(0.209827\pi\) |
−0.852074 | + | 0.523421i | \(0.824655\pi\) | |||||||
\(860\) | −0.569312 | − | 10.5003i | −0.0194134 | − | 0.358059i | ||||
\(861\) | −3.71158 | + | 0.403659i | −0.126490 | + | 0.0137566i | ||||
\(862\) | −11.5636 | − | 3.89623i | −0.393858 | − | 0.132706i | ||||
\(863\) | −10.4025 | − | 26.1082i | −0.354104 | − | 0.888733i | −0.992856 | − | 0.119321i | \(-0.961928\pi\) |
0.638752 | − | 0.769413i | \(-0.279451\pi\) | |||||||
\(864\) | 0.976621 | + | 0.214970i | 0.0332253 | + | 0.00731344i | ||||
\(865\) | −44.3623 | + | 83.6762i | −1.50836 | + | 2.84508i | ||||
\(866\) | −11.0279 | + | 5.10207i | −0.374745 | + | 0.173375i | ||||
\(867\) | −0.446243 | + | 0.150357i | −0.0151552 | + | 0.00510638i | ||||
\(868\) | −3.61184 | − | 4.25219i | −0.122594 | − | 0.144329i | ||||
\(869\) | −0.660024 | + | 0.397123i | −0.0223898 | + | 0.0134715i | ||||
\(870\) | 6.22286 | − | 22.4127i | 0.210975 | − | 0.759862i | ||||
\(871\) | 10.6060 | − | 2.33455i | 0.359369 | − | 0.0791031i | ||||
\(872\) | 8.72807 | + | 12.8729i | 0.295570 | + | 0.435933i | ||||
\(873\) | −1.16696 | + | 1.10540i | −0.0394955 | + | 0.0374121i | ||||
\(874\) | 9.67417 | + | 5.82076i | 0.327234 | + | 0.196890i | ||||
\(875\) | 3.82376 | + | 23.3239i | 0.129267 | + | 0.788491i | ||||
\(876\) | 8.27205 | − | 12.2004i | 0.279487 | − | 0.412212i | ||||
\(877\) | 19.3232 | − | 48.4977i | 0.652499 | − | 1.63765i | −0.112526 | − | 0.993649i | \(-0.535894\pi\) |
0.765025 | − | 0.644001i | \(-0.222727\pi\) | |||||||
\(878\) | −24.6131 | + | 28.9768i | −0.830651 | + | 0.977918i | ||||
\(879\) | 2.78236 | − | 16.9716i | 0.0938465 | − | 0.572439i | ||||
\(880\) | 3.67816 | + | 3.48414i | 0.123991 | + | 0.117450i | ||||
\(881\) | −6.00233 | − | 21.6184i | −0.202224 | − | 0.728344i | −0.993192 | − | 0.116487i | \(-0.962837\pi\) |
0.790969 | − | 0.611857i | \(-0.209577\pi\) | |||||||
\(882\) | −1.92722 | − | 3.63513i | −0.0648929 | − | 0.122401i | ||||
\(883\) | 30.3025 | + | 23.0354i | 1.01976 | + | 0.775201i | 0.974640 | − | 0.223780i | \(-0.0718398\pi\) |
0.0451203 | + | 0.998982i | \(0.485633\pi\) | |||||||
\(884\) | −29.4613 | −0.990889 | ||||||||
\(885\) | −7.21116 | + | 27.5566i | −0.242401 | + | 0.926305i | ||||
\(886\) | −11.4925 | −0.386098 | ||||||||
\(887\) | −34.2679 | − | 26.0498i | −1.15060 | − | 0.874666i | −0.157001 | − | 0.987598i | \(-0.550182\pi\) |
−0.993603 | + | 0.112933i | \(0.963976\pi\) | |||||||
\(888\) | −0.254598 | − | 0.480222i | −0.00854374 | − | 0.0161152i | ||||
\(889\) | 6.43140 | + | 23.1638i | 0.215702 | + | 0.776890i | ||||
\(890\) | 6.55989 | + | 6.21386i | 0.219888 | + | 0.208289i | ||||
\(891\) | −0.221027 | + | 1.34820i | −0.00740468 | + | 0.0451665i | ||||
\(892\) | −5.99121 | + | 7.05340i | −0.200601 | + | 0.236165i | ||||
\(893\) | 5.78127 | − | 14.5099i | 0.193463 | − | 0.485555i | ||||
\(894\) | −0.753697 | + | 1.11162i | −0.0252074 | + | 0.0371781i | ||||
\(895\) | −6.82729 | − | 41.6446i | −0.228211 | − | 1.39203i | ||||
\(896\) | −1.45555 | − | 0.875773i | −0.0486264 | − | 0.0292575i | ||||
\(897\) | 37.6355 | − | 35.6502i | 1.25661 | − | 1.19033i | ||||
\(898\) | −5.29778 | − | 7.81365i | −0.176789 | − | 0.260745i | ||||
\(899\) | 20.1192 | − | 4.42857i | 0.671013 | − | 0.147701i | ||||
\(900\) | 2.34140 | − | 8.43296i | 0.0780467 | − | 0.281099i | ||||
\(901\) | −35.4752 | + | 21.3447i | −1.18185 | + | 0.711097i | ||||
\(902\) | 1.94389 | + | 2.28853i | 0.0647246 | + | 0.0761997i | ||||
\(903\) | −4.56484 | + | 1.53807i | −0.151908 | + | 0.0511839i | ||||
\(904\) | 5.63576 | − | 2.60738i | 0.187443 | − | 0.0867202i | ||||
\(905\) | 3.66316 | − | 6.90945i | 0.121768 | − | 0.229678i | ||||
\(906\) | 6.48396 | + | 1.42723i | 0.215415 | + | 0.0474164i | ||||
\(907\) | 4.42574 | + | 11.1078i | 0.146954 | + | 0.368828i | 0.983966 | − | 0.178358i | \(-0.0570785\pi\) |
−0.837011 | + | 0.547186i | \(0.815699\pi\) | |||||||
\(908\) | −6.12176 | − | 2.06266i | −0.203158 | − | 0.0684519i | ||||
\(909\) | −8.58507 | + | 0.933683i | −0.284749 | + | 0.0309683i | ||||
\(910\) | −2.40383 | − | 44.3360i | −0.0796861 | − | 1.46972i | ||||
\(911\) | −2.81769 | + | 51.9693i | −0.0933543 | + | 1.72182i | 0.459192 | + | 0.888337i | \(0.348139\pi\) |
−0.552546 | + | 0.833482i | \(0.686344\pi\) | |||||||
\(912\) | −1.52610 | − | 0.165973i | −0.0505342 | − | 0.00549592i | ||||
\(913\) | −18.1665 | − | 8.40471i | −0.601223 | − | 0.278155i | ||||
\(914\) | 20.8444 | − | 15.8455i | 0.689473 | − | 0.524124i | ||||
\(915\) | 6.82386 | − | 5.18736i | 0.225590 | − | 0.171489i | ||||
\(916\) | 24.4102 | + | 11.2934i | 0.806535 | + | 0.373143i | ||||
\(917\) | −16.3423 | − | 1.77734i | −0.539672 | − | 0.0586928i | ||||
\(918\) | −0.226291 | + | 4.17369i | −0.00746871 | + | 0.137752i | ||||
\(919\) | 2.57584 | + | 47.5086i | 0.0849692 | + | 1.56716i | 0.661410 | + | 0.750025i | \(0.269958\pi\) |
−0.576440 | + | 0.817139i | \(0.695559\pi\) | |||||||
\(920\) | −27.1143 | + | 2.94886i | −0.893933 | + | 0.0972210i | ||||
\(921\) | −0.369189 | − | 0.124394i | −0.0121652 | − | 0.00409893i | ||||
\(922\) | 1.35404 | + | 3.39837i | 0.0445928 | + | 0.111919i | ||||
\(923\) | 101.463 | + | 22.3338i | 3.33971 | + | 0.735125i | ||||
\(924\) | 1.08707 | − | 2.05043i | 0.0357619 | − | 0.0674542i | ||||
\(925\) | −4.31736 | + | 1.99743i | −0.141954 | + | 0.0656749i | ||||
\(926\) | −34.7363 | + | 11.7040i | −1.14151 | + | 0.384618i | ||||
\(927\) | −5.47838 | − | 6.44965i | −0.179934 | − | 0.211834i | ||||
\(928\) | 5.37460 | − | 3.23379i | 0.176430 | − | 0.106154i | ||||
\(929\) | 6.34091 | − | 22.8379i | 0.208038 | − | 0.749287i | −0.783714 | − | 0.621121i | \(-0.786677\pi\) |
0.991753 | − | 0.128165i | \(-0.0409088\pi\) | |||||||
\(930\) | 11.8948 | − | 2.61824i | 0.390045 | − | 0.0858553i | ||||
\(931\) | 3.54446 | + | 5.22769i | 0.116165 | + | 0.171331i | ||||
\(932\) | −5.24678 | + | 4.97001i | −0.171864 | + | 0.162798i | ||||
\(933\) | 19.4449 | + | 11.6996i | 0.636599 | + | 0.383029i | ||||
\(934\) | −4.08988 | − | 24.9471i | −0.133825 | − | 0.816295i | ||||
\(935\) | −11.8840 | + | 17.5276i | −0.388648 | + | 0.573213i | ||||
\(936\) | −2.60890 | + | 6.54785i | −0.0852746 | + | 0.214023i | ||||
\(937\) | 7.59081 | − | 8.93660i | 0.247981 | − | 0.291946i | −0.624062 | − | 0.781375i | \(-0.714519\pi\) |
0.872043 | + | 0.489429i | \(0.162795\pi\) | |||||||
\(938\) | −0.423427 | + | 2.58279i | −0.0138254 | + | 0.0843310i | ||||
\(939\) | 13.9269 | + | 13.1923i | 0.454488 | + | 0.430514i | ||||
\(940\) | 10.0943 | + | 36.3564i | 0.329240 | + | 1.18581i | ||||
\(941\) | −2.80983 | − | 5.29990i | −0.0915978 | − | 0.172772i | 0.833480 | − | 0.552550i | \(-0.186345\pi\) |
−0.925078 | + | 0.379778i | \(0.876000\pi\) | |||||||
\(942\) | −9.94620 | − | 7.56090i | −0.324065 | − | 0.246348i | ||||
\(943\) | −16.1646 | −0.526390 | ||||||||
\(944\) | −6.52199 | + | 4.05754i | −0.212273 | + | 0.132062i | ||||
\(945\) | −6.29942 | −0.204920 | ||||||||
\(946\) | 3.08416 | + | 2.34452i | 0.100275 | + | 0.0762268i | ||||
\(947\) | 2.28765 | + | 4.31496i | 0.0743386 | + | 0.140217i | 0.917895 | − | 0.396823i | \(-0.129887\pi\) |
−0.843557 | + | 0.537040i | \(0.819542\pi\) | |||||||
\(948\) | 0.150836 | + | 0.543264i | 0.00489894 | + | 0.0176444i | ||||
\(949\) | 75.4281 | + | 71.4493i | 2.44850 | + | 2.31934i | ||||
\(950\) | −2.17356 | + | 13.2581i | −0.0705197 | + | 0.430151i | ||||
\(951\) | 1.87678 | − | 2.20951i | 0.0608587 | − | 0.0716483i | ||||
\(952\) | 2.62808 | − | 6.59599i | 0.0851767 | − | 0.213777i | ||||
\(953\) | −2.61759 | + | 3.86066i | −0.0847920 | + | 0.125059i | −0.867720 | − | 0.497054i | \(-0.834415\pi\) |
0.782928 | + | 0.622113i | \(0.213725\pi\) | |||||||
\(954\) | 1.60247 | + | 9.77463i | 0.0518818 | + | 0.316465i | ||||
\(955\) | −15.2302 | − | 9.16373i | −0.492839 | − | 0.296531i | ||||
\(956\) | −4.50651 | + | 4.26879i | −0.145751 | + | 0.138063i | ||||
\(957\) | 4.80906 | + | 7.09283i | 0.155455 | + | 0.229279i | ||||
\(958\) | 0.422297 | − | 0.0929545i | 0.0136438 | − | 0.00300322i | ||||
\(959\) | −9.53306 | + | 34.3350i | −0.307839 | + | 1.10873i | ||||
\(960\) | 3.17754 | − | 1.91186i | 0.102555 | − | 0.0617051i | ||||
\(961\) | −13.0857 | − | 15.4057i | −0.422120 | − | 0.496958i | ||||
\(962\) | 3.63056 | − | 1.22328i | 0.117054 | − | 0.0394400i | ||||
\(963\) | −9.54076 | + | 4.41403i | −0.307447 | + | 0.142240i | ||||
\(964\) | 9.44925 | − | 17.8232i | 0.304340 | − | 0.574046i | ||||
\(965\) | 28.3605 | + | 6.24261i | 0.912956 | + | 0.200957i | ||||
\(966\) | 4.62435 | + | 11.6063i | 0.148786 | + | 0.373425i | ||||
\(967\) | 14.6567 | + | 4.93843i | 0.471329 | + | 0.158809i | 0.544935 | − | 0.838478i | \(-0.316554\pi\) |
−0.0736064 | + | 0.997287i | \(0.523451\pi\) | |||||||
\(968\) | 9.07995 | − | 0.987504i | 0.291841 | − | 0.0317396i | ||||
\(969\) | −0.347379 | − | 6.40702i | −0.0111594 | − | 0.205823i | ||||
\(970\) | −0.322710 | + | 5.95204i | −0.0103616 | + | 0.191108i | ||||
\(971\) | 43.9016 | + | 4.77458i | 1.40887 | + | 0.153224i | 0.780725 | − | 0.624875i | \(-0.214850\pi\) |
0.628143 | + | 0.778098i | \(0.283815\pi\) | |||||||
\(972\) | 0.907575 | + | 0.419889i | 0.0291105 | + | 0.0134679i | ||||
\(973\) | 2.42474 | − | 1.84324i | 0.0777334 | − | 0.0590914i | ||||
\(974\) | −4.12520 | + | 3.13589i | −0.132180 | + | 0.100481i | ||||
\(975\) | 55.9864 | + | 25.9021i | 1.79300 | + | 0.829530i | ||||
\(976\) | 2.29790 | + | 0.249911i | 0.0735539 | + | 0.00799946i | ||||
\(977\) | 0.0216930 | − | 0.400104i | 0.000694021 | − | 0.0128005i | −0.998166 | − | 0.0605380i | \(-0.980718\pi\) |
0.998860 | + | 0.0477376i | \(0.0152011\pi\) | |||||||
\(978\) | 0.823839 | + | 15.1948i | 0.0263435 | + | 0.485876i | ||||
\(979\) | −3.30934 | + | 0.359912i | −0.105767 | + | 0.0115028i | ||||
\(980\) | −14.4590 | − | 4.87181i | −0.461877 | − | 0.155624i | ||||
\(981\) | 5.75671 | + | 14.4483i | 0.183798 | + | 0.461297i | ||||
\(982\) | 31.0797 | + | 6.84115i | 0.991792 | + | 0.218310i | ||||
\(983\) | −7.43384 | + | 14.0217i | −0.237103 | + | 0.447223i | −0.973298 | − | 0.229546i | \(-0.926276\pi\) |
0.736195 | + | 0.676769i | \(0.236621\pi\) | |||||||
\(984\) | 1.99470 | − | 0.922845i | 0.0635886 | − | 0.0294192i | ||||
\(985\) | −9.15916 | + | 3.08608i | −0.291835 | + | 0.0983307i | ||||
\(986\) | 16.9730 | + | 19.9822i | 0.540531 | + | 0.636362i | ||||
\(987\) | 14.8098 | − | 8.91078i | 0.471402 | − | 0.283633i | ||||
\(988\) | 2.89467 | − | 10.4257i | 0.0920918 | − | 0.331685i | ||||
\(989\) | −20.3682 | + | 4.48339i | −0.647673 | + | 0.142564i | ||||
\(990\) | 2.84318 | + | 4.19338i | 0.0903623 | + | 0.133274i | ||||
\(991\) | 31.8075 | − | 30.1297i | 1.01040 | − | 0.957101i | 0.0113166 | − | 0.999936i | \(-0.496398\pi\) |
0.999082 | + | 0.0428354i | \(0.0136391\pi\) | |||||||
\(992\) | 2.81421 | + | 1.69325i | 0.0893511 | + | 0.0537608i | ||||
\(993\) | −0.567060 | − | 3.45891i | −0.0179951 | − | 0.109765i | ||||
\(994\) | −14.0512 | + | 20.7240i | −0.445678 | + | 0.657327i | ||||
\(995\) | −6.16293 | + | 15.4678i | −0.195378 | + | 0.490362i | ||||
\(996\) | −9.48499 | + | 11.1666i | −0.300543 | + | 0.353827i | ||||
\(997\) | 6.32599 | − | 38.5869i | 0.200346 | − | 1.22206i | −0.674727 | − | 0.738067i | \(-0.735739\pi\) |
0.875073 | − | 0.483991i | \(-0.160813\pi\) | |||||||
\(998\) | 4.37394 | + | 4.14321i | 0.138455 | + | 0.131151i | ||||
\(999\) | −0.145412 | − | 0.523726i | −0.00460063 | − | 0.0165700i |
(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 | 354.2.e.a.25.2 | ✓ | 56 | |
59.26 | even | 29 | inner | 354.2.e.a.85.2 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.a.25.2 | ✓ | 56 | 1.1 | even | 1 | trivial | |
354.2.e.a.85.2 | yes | 56 | 59.26 | even | 29 | inner |