Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [750,2,Mod(19,750)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(750, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("750.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 750 = 2 \cdot 3 \cdot 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 750.o (of order \(50\), degree \(20\), 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: | \(5.98878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Character | \(\chi\) | \(=\) | 750.79 |
Dual form | 750.2.o.a.19.1 |
$q$-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 \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(251\) |
\(\chi(n)\) | \(e\left(\frac{41}{50}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.844328 | + | 0.535827i | −0.597030 | + | 0.378887i | ||||
\(3\) | −0.684547 | + | 0.728969i | −0.395223 | + | 0.420870i | ||||
\(4\) | 0.425779 | − | 0.904827i | 0.212890 | − | 0.452414i | ||||
\(5\) | −2.22361 | + | 0.235684i | −0.994430 | + | 0.105401i | ||||
\(6\) | 0.187381 | − | 0.982287i | 0.0764981 | − | 0.401017i | ||||
\(7\) | 1.43168 | − | 1.97054i | 0.541126 | − | 0.744795i | −0.447649 | − | 0.894209i | \(-0.647739\pi\) |
0.988775 | + | 0.149414i | \(0.0477386\pi\) | |||||||
\(8\) | 0.125333 | + | 0.992115i | 0.0443120 | + | 0.350766i | ||||
\(9\) | −0.0627905 | − | 0.998027i | −0.0209302 | − | 0.332676i | ||||
\(10\) | 1.75117 | − | 1.39047i | 0.553769 | − | 0.439704i | ||||
\(11\) | 1.28780 | + | 2.02925i | 0.388286 | + | 0.611841i | 0.981101 | − | 0.193498i | \(-0.0619834\pi\) |
−0.592815 | + | 0.805339i | \(0.701983\pi\) | |||||||
\(12\) | 0.368125 | + | 0.929776i | 0.106268 | + | 0.268403i | ||||
\(13\) | −2.03194 | + | 0.127839i | −0.563558 | + | 0.0354561i | −0.342015 | − | 0.939694i | \(-0.611109\pi\) |
−0.221543 | + | 0.975151i | \(0.571109\pi\) | |||||||
\(14\) | −0.152940 | + | 2.43092i | −0.0408751 | + | 0.649691i | ||||
\(15\) | 1.35036 | − | 1.78228i | 0.348662 | − | 0.460183i | ||||
\(16\) | −0.637424 | − | 0.770513i | −0.159356 | − | 0.192628i | ||||
\(17\) | 0.267381 | − | 0.125820i | 0.0648493 | − | 0.0305158i | −0.393081 | − | 0.919504i | \(-0.628591\pi\) |
0.457930 | + | 0.888988i | \(0.348591\pi\) | |||||||
\(18\) | 0.587785 | + | 0.809017i | 0.138542 | + | 0.190687i | ||||
\(19\) | 1.54181 | − | 1.44785i | 0.353715 | − | 0.332160i | −0.487238 | − | 0.873269i | \(-0.661995\pi\) |
0.840952 | + | 0.541109i | \(0.181995\pi\) | |||||||
\(20\) | −0.733515 | + | 2.11233i | −0.164019 | + | 0.472332i | ||||
\(21\) | 0.456410 | + | 2.39258i | 0.0995967 | + | 0.522104i | ||||
\(22\) | −2.17465 | − | 1.02331i | −0.463637 | − | 0.218171i | ||||
\(23\) | 1.66525 | + | 6.48573i | 0.347229 | + | 1.35237i | 0.867105 | + | 0.498126i | \(0.165978\pi\) |
−0.519875 | + | 0.854242i | \(0.674022\pi\) | |||||||
\(24\) | −0.809017 | − | 0.587785i | −0.165140 | − | 0.119981i | ||||
\(25\) | 4.88891 | − | 1.04814i | 0.977781 | − | 0.209628i | ||||
\(26\) | 1.64712 | − | 1.19670i | 0.323027 | − | 0.234693i | ||||
\(27\) | 0.770513 | + | 0.637424i | 0.148285 | + | 0.122672i | ||||
\(28\) | −1.17342 | − | 2.13444i | −0.221756 | − | 0.403372i | ||||
\(29\) | −2.73974 | + | 1.50619i | −0.508758 | + | 0.279692i | −0.715388 | − | 0.698727i | \(-0.753750\pi\) |
0.206631 | + | 0.978419i | \(0.433750\pi\) | |||||||
\(30\) | −0.185154 | + | 2.22839i | −0.0338044 | + | 0.406846i | ||||
\(31\) | 1.20837 | + | 2.56792i | 0.217030 | + | 0.461212i | 0.983462 | − | 0.181113i | \(-0.0579700\pi\) |
−0.766433 | + | 0.642325i | \(0.777970\pi\) | |||||||
\(32\) | 0.951057 | + | 0.309017i | 0.168125 | + | 0.0546270i | ||||
\(33\) | −2.36082 | − | 0.450350i | −0.410965 | − | 0.0783958i | ||||
\(34\) | −0.158339 | + | 0.249503i | −0.0271550 | + | 0.0427894i | ||||
\(35\) | −2.71908 | + | 4.71915i | −0.459609 | + | 0.797682i | ||||
\(36\) | −0.929776 | − | 0.368125i | −0.154963 | − | 0.0613541i | ||||
\(37\) | −6.38094 | + | 5.27877i | −1.04902 | + | 0.867825i | −0.991446 | − | 0.130516i | \(-0.958337\pi\) |
−0.0575743 | + | 0.998341i | \(0.518337\pi\) | |||||||
\(38\) | −0.525992 | + | 2.04860i | −0.0853271 | + | 0.332327i | ||||
\(39\) | 1.29777 | − | 1.56873i | 0.207809 | − | 0.251198i | ||||
\(40\) | −0.512518 | − | 2.17654i | −0.0810362 | − | 0.344141i | ||||
\(41\) | 7.40169 | + | 1.90043i | 1.15595 | + | 0.296798i | 0.777536 | − | 0.628839i | \(-0.216469\pi\) |
0.378415 | + | 0.925636i | \(0.376469\pi\) | |||||||
\(42\) | −1.66737 | − | 1.77557i | −0.257281 | − | 0.273976i | ||||
\(43\) | −5.62839 | + | 1.82878i | −0.858322 | + | 0.278886i | −0.704928 | − | 0.709279i | \(-0.749021\pi\) |
−0.153394 | + | 0.988165i | \(0.549021\pi\) | |||||||
\(44\) | 2.38443 | − | 0.301224i | 0.359467 | − | 0.0454112i | ||||
\(45\) | 0.374841 | + | 2.20443i | 0.0558779 | + | 0.328616i | ||||
\(46\) | −4.88125 | − | 4.58380i | −0.719701 | − | 0.675844i | ||||
\(47\) | −1.09437 | + | 8.66286i | −0.159631 | + | 1.26361i | 0.685113 | + | 0.728437i | \(0.259753\pi\) |
−0.844744 | + | 0.535171i | \(0.820247\pi\) | |||||||
\(48\) | 0.998027 | + | 0.0627905i | 0.144053 | + | 0.00906303i | ||||
\(49\) | 0.329795 | + | 1.01500i | 0.0471136 | + | 0.145001i | ||||
\(50\) | −3.56622 | + | 3.50458i | −0.504339 | + | 0.495623i | ||||
\(51\) | −0.0913160 | + | 0.281042i | −0.0127868 | + | 0.0393537i | ||||
\(52\) | −0.749485 | + | 1.89298i | −0.103935 | + | 0.262510i | ||||
\(53\) | −11.7105 | + | 2.23390i | −1.60856 | + | 0.306850i | −0.911858 | − | 0.410507i | \(-0.865352\pi\) |
−0.696706 | + | 0.717357i | \(0.745352\pi\) | |||||||
\(54\) | −0.992115 | − | 0.125333i | −0.135010 | − | 0.0170557i | ||||
\(55\) | −3.34183 | − | 4.20874i | −0.450612 | − | 0.567507i | ||||
\(56\) | 2.13444 | + | 1.17342i | 0.285227 | + | 0.156805i | ||||
\(57\) | 2.11505i | 0.280145i | ||||||||
\(58\) | 1.50619 | − | 2.73974i | 0.197772 | − | 0.359746i | ||||
\(59\) | −3.13869 | + | 1.24270i | −0.408623 | + | 0.161785i | −0.563438 | − | 0.826158i | \(-0.690522\pi\) |
0.154815 | + | 0.987943i | \(0.450522\pi\) | |||||||
\(60\) | −1.03770 | − | 1.98070i | −0.133966 | − | 0.255707i | ||||
\(61\) | 4.00798 | − | 1.02908i | 0.513170 | − | 0.131760i | 0.0167796 | − | 0.999859i | \(-0.494659\pi\) |
0.496390 | + | 0.868100i | \(0.334659\pi\) | |||||||
\(62\) | −2.39622 | − | 1.52069i | −0.304320 | − | 0.193128i | ||||
\(63\) | −2.05655 | − | 1.30513i | −0.259101 | − | 0.164431i | ||||
\(64\) | −0.968583 | + | 0.248690i | −0.121073 | + | 0.0310862i | ||||
\(65\) | 4.48811 | − | 0.763159i | 0.556682 | − | 0.0946582i | ||||
\(66\) | 2.23461 | − | 0.884745i | 0.275062 | − | 0.108905i | ||||
\(67\) | 1.55089 | − | 2.82105i | 0.189471 | − | 0.344647i | −0.764461 | − | 0.644670i | \(-0.776995\pi\) |
0.953932 | + | 0.300024i | \(0.0969946\pi\) | |||||||
\(68\) | − | 0.295505i | − | 0.0358352i | ||||||
\(69\) | −5.86784 | − | 3.22587i | −0.706405 | − | 0.388349i | ||||
\(70\) | −0.232848 | − | 5.44147i | −0.0278307 | − | 0.650380i | ||||
\(71\) | −3.40151 | − | 0.429710i | −0.403685 | − | 0.0509972i | −0.0791303 | − | 0.996864i | \(-0.525214\pi\) |
−0.324554 | + | 0.945867i | \(0.605214\pi\) | |||||||
\(72\) | 0.982287 | − | 0.187381i | 0.115764 | − | 0.0220831i | ||||
\(73\) | −2.46346 | + | 6.22199i | −0.288326 | + | 0.728229i | 0.711351 | + | 0.702837i | \(0.248084\pi\) |
−0.999678 | + | 0.0253925i | \(0.991916\pi\) | |||||||
\(74\) | 2.55910 | − | 7.87610i | 0.297489 | − | 0.915578i | ||||
\(75\) | −2.58263 | + | 4.28136i | −0.298216 | + | 0.494369i | ||||
\(76\) | −0.653587 | − | 2.01153i | −0.0749715 | − | 0.230739i | ||||
\(77\) | 5.84244 | + | 0.367575i | 0.665808 | + | 0.0418891i | ||||
\(78\) | −0.255173 | + | 2.01990i | −0.0288926 | + | 0.228709i | ||||
\(79\) | 6.27100 | + | 5.88886i | 0.705542 | + | 0.662548i | 0.951822 | − | 0.306651i | \(-0.0992083\pi\) |
−0.246280 | + | 0.969199i | \(0.579208\pi\) | |||||||
\(80\) | 1.59898 | + | 1.56309i | 0.178772 | + | 0.174759i | ||||
\(81\) | −0.992115 | + | 0.125333i | −0.110235 | + | 0.0139259i | ||||
\(82\) | −7.26776 | + | 2.36144i | −0.802590 | + | 0.260777i | ||||
\(83\) | −9.41895 | − | 10.0302i | −1.03386 | − | 1.10095i | −0.994813 | − | 0.101716i | \(-0.967567\pi\) |
−0.0390508 | − | 0.999237i | \(-0.512433\pi\) | |||||||
\(84\) | 2.35920 | + | 0.605740i | 0.257410 | + | 0.0660917i | ||||
\(85\) | −0.564897 | + | 0.342792i | −0.0612717 | + | 0.0371810i | ||||
\(86\) | 3.77230 | − | 4.55993i | 0.406778 | − | 0.491710i | ||||
\(87\) | 0.777521 | − | 3.02824i | 0.0833590 | − | 0.324662i | ||||
\(88\) | −1.85184 | + | 1.53198i | −0.197407 | + | 0.163309i | ||||
\(89\) | 1.42179 | + | 0.562926i | 0.150709 | + | 0.0596701i | 0.442268 | − | 0.896883i | \(-0.354174\pi\) |
−0.291559 | + | 0.956553i | \(0.594174\pi\) | |||||||
\(90\) | −1.49768 | − | 1.66041i | −0.157869 | − | 0.175022i | ||||
\(91\) | −2.65718 | + | 4.18705i | −0.278548 | + | 0.438922i | ||||
\(92\) | 6.57749 | + | 1.25472i | 0.685751 | + | 0.130814i | ||||
\(93\) | −2.69912 | − | 0.876997i | −0.279886 | − | 0.0909403i | ||||
\(94\) | −3.71778 | − | 7.90069i | −0.383460 | − | 0.814894i | ||||
\(95\) | −3.08714 | + | 3.58284i | −0.316734 | + | 0.367592i | ||||
\(96\) | −0.876307 | + | 0.481754i | −0.0894377 | + | 0.0491688i | ||||
\(97\) | 6.12338 | + | 11.1384i | 0.621735 | + | 1.13093i | 0.980316 | + | 0.197434i | \(0.0632607\pi\) |
−0.358581 | + | 0.933499i | \(0.616739\pi\) | |||||||
\(98\) | −0.822322 | − | 0.680284i | −0.0830671 | − | 0.0687190i | ||||
\(99\) | 1.94438 | − | 1.41267i | 0.195418 | − | 0.141979i | ||||
\(100\) | 1.13321 | − | 4.86989i | 0.113321 | − | 0.486989i | ||||
\(101\) | 12.6398 | + | 9.18335i | 1.25771 | + | 0.913778i | 0.998643 | − | 0.0520820i | \(-0.0165857\pi\) |
0.259065 | + | 0.965860i | \(0.416586\pi\) | |||||||
\(102\) | −0.0734890 | − | 0.286221i | −0.00727650 | − | 0.0283401i | ||||
\(103\) | 4.80771 | + | 2.26233i | 0.473717 | + | 0.222914i | 0.647791 | − | 0.761818i | \(-0.275693\pi\) |
−0.174074 | + | 0.984733i | \(0.555693\pi\) | |||||||
\(104\) | −0.381500 | − | 1.99989i | −0.0374092 | − | 0.196106i | ||||
\(105\) | −1.57877 | − | 5.21261i | −0.154072 | − | 0.508698i | ||||
\(106\) | 8.69054 | − | 8.16096i | 0.844100 | − | 0.792662i | ||||
\(107\) | 3.55285 | + | 4.89008i | 0.343467 | + | 0.472742i | 0.945450 | − | 0.325767i | \(-0.105623\pi\) |
−0.601983 | + | 0.798509i | \(0.705623\pi\) | |||||||
\(108\) | 0.904827 | − | 0.425779i | 0.0870670 | − | 0.0409706i | ||||
\(109\) | 4.97196 | + | 6.01007i | 0.476228 | + | 0.575661i | 0.952848 | − | 0.303449i | \(-0.0981382\pi\) |
−0.476620 | + | 0.879110i | \(0.658138\pi\) | |||||||
\(110\) | 5.07675 | + | 1.76292i | 0.484050 | + | 0.168088i | ||||
\(111\) | 0.519995 | − | 8.26508i | 0.0493557 | − | 0.784486i | ||||
\(112\) | −2.43092 | + | 0.152940i | −0.229700 | + | 0.0144515i | ||||
\(113\) | 0.568511 | + | 1.43590i | 0.0534810 | + | 0.135078i | 0.954061 | − | 0.299613i | \(-0.0968576\pi\) |
−0.900580 | + | 0.434691i | \(0.856858\pi\) | |||||||
\(114\) | −1.13330 | − | 1.78580i | −0.106143 | − | 0.167255i | ||||
\(115\) | −5.23146 | − | 14.0293i | −0.487836 | − | 1.30824i | ||||
\(116\) | 0.196312 | + | 3.12030i | 0.0182272 | + | 0.289712i | ||||
\(117\) | 0.255173 | + | 2.01990i | 0.0235907 | + | 0.186740i | ||||
\(118\) | 1.98422 | − | 2.73104i | 0.182662 | − | 0.251413i | ||||
\(119\) | 0.134871 | − | 0.707019i | 0.0123636 | − | 0.0648124i | ||||
\(120\) | 1.93747 | + | 1.11633i | 0.176866 | + | 0.101907i | ||||
\(121\) | 2.22416 | − | 4.72658i | 0.202196 | − | 0.429689i | ||||
\(122\) | −2.83265 | + | 3.01646i | −0.256456 | + | 0.273098i | ||||
\(123\) | −6.45216 | + | 4.09467i | −0.581772 | + | 0.369204i | ||||
\(124\) | 2.83802 | 0.254862 | ||||||||
\(125\) | −10.6240 | + | 3.48289i | −0.950240 | + | 0.311519i | ||||
\(126\) | 2.43573 | 0.216992 | ||||||||
\(127\) | −11.6418 | + | 7.38809i | −1.03304 | + | 0.655587i | −0.940385 | − | 0.340111i | \(-0.889535\pi\) |
−0.0926547 | + | 0.995698i | \(0.529535\pi\) | |||||||
\(128\) | 0.684547 | − | 0.728969i | 0.0605060 | − | 0.0644323i | ||||
\(129\) | 2.51978 | − | 5.35481i | 0.221854 | − | 0.471464i | ||||
\(130\) | −3.38052 | + | 3.04921i | −0.296491 | + | 0.267433i | ||||
\(131\) | 0.839882 | − | 4.40281i | 0.0733808 | − | 0.384676i | −0.926582 | − | 0.376092i | \(-0.877268\pi\) |
0.999963 | − | 0.00858375i | \(-0.00273233\pi\) | |||||||
\(132\) | −1.41267 | + | 1.94438i | −0.122958 | + | 0.169237i | ||||
\(133\) | −0.645677 | − | 5.11106i | −0.0559873 | − | 0.443185i | ||||
\(134\) | 0.202139 | + | 3.21290i | 0.0174621 | + | 0.277553i | ||||
\(135\) | −1.86355 | − | 1.23579i | −0.160389 | − | 0.106360i | ||||
\(136\) | 0.158339 | + | 0.249503i | 0.0135775 | + | 0.0213947i | ||||
\(137\) | 1.56402 | + | 3.95027i | 0.133624 | + | 0.337495i | 0.981147 | − | 0.193264i | \(-0.0619073\pi\) |
−0.847523 | + | 0.530758i | \(0.821907\pi\) | |||||||
\(138\) | 6.68289 | − | 0.420452i | 0.568885 | − | 0.0357912i | ||||
\(139\) | 0.644650 | − | 10.2464i | 0.0546785 | − | 0.869090i | −0.871119 | − | 0.491071i | \(-0.836605\pi\) |
0.925798 | − | 0.378019i | \(-0.123395\pi\) | |||||||
\(140\) | 3.11229 | + | 4.46962i | 0.263036 | + | 0.377752i | ||||
\(141\) | −5.56580 | − | 6.72790i | −0.468725 | − | 0.566591i | ||||
\(142\) | 3.10224 | − | 1.45980i | 0.260334 | − | 0.122504i | ||||
\(143\) | −2.87614 | − | 3.95867i | −0.240515 | − | 0.331041i | ||||
\(144\) | −0.728969 | + | 0.684547i | −0.0607474 | + | 0.0570456i | ||||
\(145\) | 5.73714 | − | 3.99489i | 0.476444 | − | 0.331758i | ||||
\(146\) | −1.25394 | − | 6.57339i | −0.103777 | − | 0.544018i | ||||
\(147\) | −0.965667 | − | 0.454408i | −0.0796469 | − | 0.0374790i | ||||
\(148\) | 2.05951 | + | 8.02124i | 0.169290 | + | 0.659342i | ||||
\(149\) | −1.86680 | − | 1.35631i | −0.152934 | − | 0.111113i | 0.508687 | − | 0.860952i | \(-0.330131\pi\) |
−0.661621 | + | 0.749839i | \(0.730131\pi\) | |||||||
\(150\) | −0.113485 | − | 4.99871i | −0.00926597 | − | 0.408143i | ||||
\(151\) | 3.89422 | − | 2.82932i | 0.316907 | − | 0.230247i | −0.417947 | − | 0.908471i | \(-0.637250\pi\) |
0.734855 | + | 0.678225i | \(0.237250\pi\) | |||||||
\(152\) | 1.62967 | + | 1.34818i | 0.132184 | + | 0.109352i | ||||
\(153\) | −0.142360 | − | 0.258953i | −0.0115092 | − | 0.0209351i | ||||
\(154\) | −5.12989 | + | 2.82018i | −0.413378 | + | 0.227257i | ||||
\(155\) | −3.29217 | − | 5.42526i | −0.264433 | − | 0.435768i | ||||
\(156\) | −0.866868 | − | 1.84219i | −0.0694050 | − | 0.147493i | ||||
\(157\) | 17.3574 | + | 5.63974i | 1.38527 | + | 0.450101i | 0.904397 | − | 0.426691i | \(-0.140321\pi\) |
0.480870 | + | 0.876792i | \(0.340321\pi\) | |||||||
\(158\) | −8.45018 | − | 1.61196i | −0.672261 | − | 0.128241i | ||||
\(159\) | 6.38796 | − | 10.0658i | 0.506598 | − | 0.798271i | ||||
\(160\) | −2.18761 | − | 0.462985i | −0.172946 | − | 0.0366022i | ||||
\(161\) | 15.1645 | + | 6.00406i | 1.19513 | + | 0.473186i | ||||
\(162\) | 0.770513 | − | 0.637424i | 0.0605372 | − | 0.0500808i | ||||
\(163\) | 2.88083 | − | 11.2201i | 0.225644 | − | 0.878826i | −0.750352 | − | 0.661039i | \(-0.770116\pi\) |
0.975996 | − | 0.217788i | \(-0.0698840\pi\) | |||||||
\(164\) | 4.87105 | − | 5.88809i | 0.380365 | − | 0.459782i | ||||
\(165\) | 5.35568 | + | 0.444997i | 0.416939 | + | 0.0346430i | ||||
\(166\) | 13.3271 | + | 3.42182i | 1.03438 | + | 0.265585i | ||||
\(167\) | 10.9391 | + | 11.6490i | 0.846495 | + | 0.901425i | 0.996181 | − | 0.0873083i | \(-0.0278265\pi\) |
−0.149687 | + | 0.988733i | \(0.547827\pi\) | |||||||
\(168\) | −2.31651 | + | 0.752681i | −0.178723 | + | 0.0580706i | ||||
\(169\) | −8.78506 | + | 1.10981i | −0.675774 | + | 0.0853701i | ||||
\(170\) | 0.293282 | − | 0.592116i | 0.0224937 | − | 0.0454132i | ||||
\(171\) | −1.54181 | − | 1.44785i | −0.117905 | − | 0.110720i | ||||
\(172\) | −0.741727 | + | 5.87138i | −0.0565562 | + | 0.447688i | ||||
\(173\) | 15.4623 | + | 0.972805i | 1.17558 | + | 0.0739610i | 0.638533 | − | 0.769594i | \(-0.279541\pi\) |
0.537043 | + | 0.843555i | \(0.319541\pi\) | |||||||
\(174\) | 0.966131 | + | 2.97345i | 0.0732422 | + | 0.225416i | ||||
\(175\) | 4.93396 | − | 11.1344i | 0.372973 | − | 0.841682i | ||||
\(176\) | 0.742687 | − | 2.28576i | 0.0559821 | − | 0.172295i | ||||
\(177\) | 1.24270 | − | 3.13869i | 0.0934068 | − | 0.235919i | ||||
\(178\) | −1.50209 | + | 0.286539i | −0.112586 | + | 0.0214770i | ||||
\(179\) | −22.3514 | − | 2.82364i | −1.67062 | − | 0.211049i | −0.767688 | − | 0.640824i | \(-0.778593\pi\) |
−0.902936 | + | 0.429775i | \(0.858593\pi\) | |||||||
\(180\) | 2.15422 | + | 0.599433i | 0.160566 | + | 0.0446791i | ||||
\(181\) | 7.15605 | + | 3.93407i | 0.531905 | + | 0.292417i | 0.724984 | − | 0.688766i | \(-0.241847\pi\) |
−0.193079 | + | 0.981183i | \(0.561847\pi\) | |||||||
\(182\) | − | 4.95903i | − | 0.367588i | ||||||
\(183\) | −1.99349 | + | 3.62614i | −0.147363 | + | 0.268052i | ||||
\(184\) | −6.22588 | + | 2.46500i | −0.458978 | + | 0.181722i | ||||
\(185\) | 12.9446 | − | 13.2418i | 0.951708 | − | 0.973559i | ||||
\(186\) | 2.74886 | − | 0.705787i | 0.201556 | − | 0.0517508i | ||||
\(187\) | 0.599652 | + | 0.380551i | 0.0438509 | + | 0.0278286i | ||||
\(188\) | 7.37243 | + | 4.67868i | 0.537689 | + | 0.341228i | ||||
\(189\) | 2.35920 | − | 0.605740i | 0.171607 | − | 0.0440611i | ||||
\(190\) | 0.686779 | − | 4.67927i | 0.0498242 | − | 0.339470i | ||||
\(191\) | 0.184628 | − | 0.0730994i | 0.0133592 | − | 0.00528928i | −0.361435 | − | 0.932397i | \(-0.617713\pi\) |
0.374795 | + | 0.927108i | \(0.377713\pi\) | |||||||
\(192\) | 0.481754 | − | 0.876307i | 0.0347676 | − | 0.0632420i | ||||
\(193\) | − | 22.7780i | − | 1.63960i | −0.572652 | − | 0.819798i | \(-0.694085\pi\) | ||
0.572652 | − | 0.819798i | \(-0.305915\pi\) | |||||||
\(194\) | −11.1384 | − | 6.12338i | −0.799690 | − | 0.439633i | ||||
\(195\) | −2.51601 | + | 3.79411i | −0.180175 | + | 0.271702i | ||||
\(196\) | 1.05882 | + | 0.133761i | 0.0756303 | + | 0.00955432i | ||||
\(197\) | 20.3161 | − | 3.87551i | 1.44746 | − | 0.276118i | 0.597037 | − | 0.802214i | \(-0.296344\pi\) |
0.850426 | + | 0.526095i | \(0.176344\pi\) | |||||||
\(198\) | −0.884745 | + | 2.23461i | −0.0628761 | + | 0.158807i | ||||
\(199\) | 1.96126 | − | 6.03613i | 0.139030 | − | 0.427890i | −0.857165 | − | 0.515041i | \(-0.827777\pi\) |
0.996195 | + | 0.0871519i | \(0.0277765\pi\) | |||||||
\(200\) | 1.65262 | + | 4.71899i | 0.116858 | + | 0.333683i | ||||
\(201\) | 0.994805 | + | 3.06169i | 0.0701681 | + | 0.215955i | ||||
\(202\) | −15.5928 | − | 0.981018i | −1.09711 | − | 0.0690242i | ||||
\(203\) | −0.954440 | + | 7.55517i | −0.0669885 | + | 0.530269i | ||||
\(204\) | 0.215414 | + | 0.202287i | 0.0150820 | + | 0.0141629i | ||||
\(205\) | −16.9064 | − | 2.48136i | −1.18079 | − | 0.173306i | ||||
\(206\) | −5.27150 | + | 0.665945i | −0.367283 | + | 0.0463986i | ||||
\(207\) | 6.36837 | − | 2.06921i | 0.442632 | − | 0.143820i | ||||
\(208\) | 1.39371 | + | 1.48415i | 0.0966362 | + | 0.102907i | ||||
\(209\) | 4.92358 | + | 1.26416i | 0.340571 | + | 0.0874439i | ||||
\(210\) | 4.12606 | + | 3.55520i | 0.284725 | + | 0.245332i | ||||
\(211\) | 7.24589 | − | 8.75878i | 0.498828 | − | 0.602979i | −0.459666 | − | 0.888092i | \(-0.652031\pi\) |
0.958494 | + | 0.285113i | \(0.0920310\pi\) | |||||||
\(212\) | −2.96480 | + | 11.5471i | −0.203624 | + | 0.793061i | ||||
\(213\) | 2.64174 | − | 2.18544i | 0.181009 | − | 0.149744i | ||||
\(214\) | −5.62001 | − | 2.22512i | −0.384176 | − | 0.152106i | ||||
\(215\) | 12.0844 | − | 5.39301i | 0.824146 | − | 0.367800i | ||||
\(216\) | −0.535827 | + | 0.844328i | −0.0364584 | + | 0.0574492i | ||||
\(217\) | 6.79020 | + | 1.29530i | 0.460949 | + | 0.0879307i | ||||
\(218\) | −7.41833 | − | 2.41036i | −0.502433 | − | 0.163250i | ||||
\(219\) | −2.84928 | − | 6.05503i | −0.192537 | − | 0.409161i | ||||
\(220\) | −5.23106 | + | 1.23178i | −0.352678 | + | 0.0830465i | ||||
\(221\) | −0.527216 | + | 0.289840i | −0.0354644 | + | 0.0194967i | ||||
\(222\) | 3.98960 | + | 7.25706i | 0.267765 | + | 0.487062i | ||||
\(223\) | 0.325241 | + | 0.269062i | 0.0217797 | + | 0.0180178i | 0.648250 | − | 0.761427i | \(-0.275501\pi\) |
−0.626470 | + | 0.779445i | \(0.715501\pi\) | |||||||
\(224\) | 1.97054 | − | 1.43168i | 0.131662 | − | 0.0956584i | ||||
\(225\) | −1.35305 | − | 4.81345i | −0.0902032 | − | 0.320896i | ||||
\(226\) | −1.24940 | − | 0.907743i | −0.0831089 | − | 0.0603822i | ||||
\(227\) | −5.44409 | − | 21.2033i | −0.361337 | − | 1.40732i | −0.846265 | − | 0.532761i | \(-0.821154\pi\) |
0.484928 | − | 0.874554i | \(-0.338846\pi\) | |||||||
\(228\) | 1.91376 | + | 0.900545i | 0.126742 | + | 0.0596400i | ||||
\(229\) | 2.57808 | + | 13.5148i | 0.170365 | + | 0.893083i | 0.960105 | + | 0.279641i | \(0.0902154\pi\) |
−0.789740 | + | 0.613442i | \(0.789785\pi\) | |||||||
\(230\) | 11.9343 | + | 9.04216i | 0.786926 | + | 0.596222i | ||||
\(231\) | −4.26737 | + | 4.00733i | −0.280773 | + | 0.263663i | ||||
\(232\) | −1.83769 | − | 2.52936i | −0.120650 | − | 0.166061i | ||||
\(233\) | −6.90294 | + | 3.24827i | −0.452226 | + | 0.212802i | −0.638384 | − | 0.769718i | \(-0.720397\pi\) |
0.186157 | + | 0.982520i | \(0.440397\pi\) | |||||||
\(234\) | −1.29777 | − | 1.56873i | −0.0848377 | − | 0.102551i | ||||
\(235\) | 0.391766 | − | 19.5208i | 0.0255560 | − | 1.27339i | ||||
\(236\) | −0.211965 | + | 3.36909i | −0.0137978 | + | 0.219309i | ||||
\(237\) | −8.58558 | + | 0.540159i | −0.557694 | + | 0.0350871i | ||||
\(238\) | 0.264964 | + | 0.669224i | 0.0171751 | + | 0.0433793i | ||||
\(239\) | −6.95838 | − | 10.9647i | −0.450100 | − | 0.709244i | 0.541196 | − | 0.840897i | \(-0.317972\pi\) |
−0.991296 | + | 0.131652i | \(0.957972\pi\) | |||||||
\(240\) | −2.23402 | + | 0.0955971i | −0.144206 | + | 0.00617077i | ||||
\(241\) | 0.849196 | + | 13.4976i | 0.0547015 | + | 0.869456i | 0.925721 | + | 0.378207i | \(0.123459\pi\) |
−0.871020 | + | 0.491248i | \(0.836541\pi\) | |||||||
\(242\) | 0.654708 | + | 5.18255i | 0.0420862 | + | 0.333147i | ||||
\(243\) | 0.587785 | − | 0.809017i | 0.0377064 | − | 0.0518985i | ||||
\(244\) | 0.775381 | − | 4.06469i | 0.0496387 | − | 0.260215i | ||||
\(245\) | −0.972557 | − | 2.17925i | −0.0621344 | − | 0.139227i | ||||
\(246\) | 3.25371 | − | 6.91448i | 0.207449 | − | 0.440851i | ||||
\(247\) | −2.94776 | + | 3.13905i | −0.187562 | + | 0.199733i | ||||
\(248\) | −2.39622 | + | 1.52069i | −0.152160 | + | 0.0965638i | ||||
\(249\) | 13.7594 | 0.871966 | ||||||||
\(250\) | 7.10392 | − | 8.63333i | 0.449291 | − | 0.546020i | ||||
\(251\) | −12.6383 | −0.797722 | −0.398861 | − | 0.917011i | \(-0.630594\pi\) | ||||
−0.398861 | + | 0.917011i | \(0.630594\pi\) | |||||||
\(252\) | −2.05655 | + | 1.30513i | −0.129551 | + | 0.0822153i | ||||
\(253\) | −11.0166 | + | 11.7315i | −0.692610 | + | 0.737554i | ||||
\(254\) | 5.87073 | − | 12.4759i | 0.368363 | − | 0.782810i | ||||
\(255\) | 0.136814 | − | 0.646450i | 0.00856765 | − | 0.0404822i | ||||
\(256\) | −0.187381 | + | 0.982287i | −0.0117113 | + | 0.0613930i | ||||
\(257\) | 17.2624 | − | 23.7596i | 1.07680 | − | 1.48209i | 0.213802 | − | 0.976877i | \(-0.431415\pi\) |
0.862997 | − | 0.505209i | \(-0.168585\pi\) | |||||||
\(258\) | 0.741727 | + | 5.87138i | 0.0461779 | + | 0.365536i | ||||
\(259\) | 1.26656 | + | 20.1315i | 0.0787005 | + | 1.25091i | ||||
\(260\) | 1.22042 | − | 4.38590i | 0.0756872 | − | 0.272002i | ||||
\(261\) | 1.67524 | + | 2.63976i | 0.103695 | + | 0.163397i | ||||
\(262\) | 1.65001 | + | 4.16745i | 0.101938 | + | 0.257466i | ||||
\(263\) | −17.3350 | + | 1.09063i | −1.06892 | + | 0.0672509i | −0.587489 | − | 0.809232i | \(-0.699883\pi\) |
−0.481433 | + | 0.876483i | \(0.659883\pi\) | |||||||
\(264\) | 0.150910 | − | 2.39864i | 0.00928786 | − | 0.147626i | ||||
\(265\) | 25.5132 | − | 7.72731i | 1.56726 | − | 0.474685i | ||||
\(266\) | 3.28381 | + | 3.96944i | 0.201343 | + | 0.243382i | ||||
\(267\) | −1.38364 | + | 0.651090i | −0.0846772 | + | 0.0398461i | ||||
\(268\) | −1.89223 | − | 2.60443i | −0.115586 | − | 0.159091i | ||||
\(269\) | −10.1519 | + | 9.53323i | −0.618970 | + | 0.581251i | −0.929276 | − | 0.369385i | \(-0.879568\pi\) |
0.310307 | + | 0.950636i | \(0.399568\pi\) | |||||||
\(270\) | 2.23562 | + | 0.0448670i | 0.136055 | + | 0.00273052i | ||||
\(271\) | 4.39098 | + | 23.0183i | 0.266733 | + | 1.39826i | 0.823369 | + | 0.567506i | \(0.192092\pi\) |
−0.556636 | + | 0.830756i | \(0.687908\pi\) | |||||||
\(272\) | −0.267381 | − | 0.125820i | −0.0162123 | − | 0.00762895i | ||||
\(273\) | −1.23326 | − | 4.80323i | −0.0746403 | − | 0.290705i | ||||
\(274\) | −3.43721 | − | 2.49728i | −0.207649 | − | 0.150866i | ||||
\(275\) | 8.42286 | + | 8.57100i | 0.507918 | + | 0.516851i | ||||
\(276\) | −5.41726 | + | 3.93587i | −0.326081 | + | 0.236911i | ||||
\(277\) | −11.9247 | − | 9.86494i | −0.716484 | − | 0.592727i | 0.206097 | − | 0.978532i | \(-0.433924\pi\) |
−0.922580 | + | 0.385805i | \(0.873924\pi\) | |||||||
\(278\) | 4.94601 | + | 8.99676i | 0.296642 | + | 0.539590i | ||||
\(279\) | 2.48698 | − | 1.36723i | 0.148891 | − | 0.0818537i | ||||
\(280\) | −5.02273 | − | 2.10618i | −0.300166 | − | 0.125868i | ||||
\(281\) | −6.00355 | − | 12.7582i | −0.358142 | − | 0.761090i | 0.641842 | − | 0.766837i | \(-0.278171\pi\) |
−0.999983 | + | 0.00574734i | \(0.998171\pi\) | |||||||
\(282\) | 8.30435 | + | 2.69825i | 0.494517 | + | 0.160678i | ||||
\(283\) | −10.9449 | − | 2.08785i | −0.650607 | − | 0.124110i | −0.148496 | − | 0.988913i | \(-0.547443\pi\) |
−0.502111 | + | 0.864803i | \(0.667443\pi\) | |||||||
\(284\) | −1.83710 | + | 2.89481i | −0.109012 | + | 0.171776i | ||||
\(285\) | −0.498484 | − | 4.70305i | −0.0295276 | − | 0.278585i | ||||
\(286\) | 4.54957 | + | 1.80130i | 0.269022 | + | 0.106513i | ||||
\(287\) | 14.3418 | − | 11.8645i | 0.846568 | − | 0.700342i | ||||
\(288\) | 0.248690 | − | 0.968583i | 0.0146542 | − | 0.0570743i | ||||
\(289\) | −10.7805 | + | 13.0314i | −0.634150 | + | 0.766555i | ||||
\(290\) | −2.70346 | + | 6.44711i | −0.158753 | + | 0.378587i | ||||
\(291\) | −12.3113 | − | 3.16100i | −0.721700 | − | 0.185301i | ||||
\(292\) | 4.58094 | + | 4.87820i | 0.268079 | + | 0.285475i | ||||
\(293\) | −8.62382 | + | 2.80205i | −0.503809 | + | 0.163697i | −0.549885 | − | 0.835241i | \(-0.685328\pi\) |
0.0460759 | + | 0.998938i | \(0.485328\pi\) | |||||||
\(294\) | 1.05882 | − | 0.133761i | 0.0617519 | − | 0.00780107i | ||||
\(295\) | 6.68635 | − | 3.50302i | 0.389295 | − | 0.203953i | ||||
\(296\) | −6.03689 | − | 5.66902i | −0.350887 | − | 0.329505i | ||||
\(297\) | −0.301224 | + | 2.38443i | −0.0174788 | + | 0.138359i | ||||
\(298\) | 2.30293 | + | 0.144888i | 0.133405 | + | 0.00839316i | ||||
\(299\) | −4.21282 | − | 12.9657i | −0.243634 | − | 0.749827i | ||||
\(300\) | 2.77426 | + | 4.15974i | 0.160172 | + | 0.240163i | ||||
\(301\) | −4.45440 | + | 13.7092i | −0.256747 | + | 0.790187i | ||||
\(302\) | −1.77198 | + | 4.47550i | −0.101966 | + | 0.257536i | ||||
\(303\) | −15.3469 | + | 2.92758i | −0.881657 | + | 0.168185i | ||||
\(304\) | −2.09837 | − | 0.265086i | −0.120350 | − | 0.0152037i | ||||
\(305\) | −8.66966 | + | 3.23288i | −0.496424 | + | 0.185114i | ||||
\(306\) | 0.258953 | + | 0.142360i | 0.0148033 | + | 0.00813821i | ||||
\(307\) | 10.3208i | 0.589041i | 0.955645 | + | 0.294520i | \(0.0951599\pi\) | ||||
−0.955645 | + | 0.294520i | \(0.904840\pi\) | |||||||
\(308\) | 2.82018 | − | 5.12989i | 0.160695 | − | 0.292303i | ||||
\(309\) | −4.94027 | + | 1.95599i | −0.281042 | + | 0.111272i | ||||
\(310\) | 5.68667 | + | 2.81667i | 0.322981 | + | 0.159976i | ||||
\(311\) | −7.15469 | + | 1.83701i | −0.405705 | + | 0.104167i | −0.446027 | − | 0.895019i | \(-0.647162\pi\) |
0.0403221 | + | 0.999187i | \(0.487162\pi\) | |||||||
\(312\) | 1.71901 | + | 1.09092i | 0.0973200 | + | 0.0617612i | ||||
\(313\) | 8.54763 | + | 5.42449i | 0.483141 | + | 0.306610i | 0.754998 | − | 0.655727i | \(-0.227638\pi\) |
−0.271857 | + | 0.962338i | \(0.587638\pi\) | |||||||
\(314\) | −17.6772 | + | 4.53874i | −0.997583 | + | 0.256136i | ||||
\(315\) | 4.88057 | + | 2.41740i | 0.274989 | + | 0.136205i | ||||
\(316\) | 7.99846 | − | 3.16681i | 0.449948 | − | 0.178147i | ||||
\(317\) | −11.8121 | + | 21.4861i | −0.663434 | + | 1.20678i | 0.303762 | + | 0.952748i | \(0.401757\pi\) |
−0.967195 | + | 0.254033i | \(0.918243\pi\) | |||||||
\(318\) | 11.9217i | 0.668535i | ||||||||
\(319\) | −6.58466 | − | 3.61995i | −0.368670 | − | 0.202678i | ||||
\(320\) | 2.09514 | − | 0.781269i | 0.117122 | − | 0.0436743i | ||||
\(321\) | −5.99681 | − | 0.757573i | −0.334709 | − | 0.0422836i | ||||
\(322\) | −16.0210 | + | 3.05616i | −0.892814 | + | 0.170313i | ||||
\(323\) | 0.230081 | − | 0.581117i | 0.0128020 | − | 0.0323342i | ||||
\(324\) | −0.309017 | + | 0.951057i | −0.0171676 | + | 0.0528365i | ||||
\(325\) | −9.79996 | + | 2.75475i | −0.543604 | + | 0.152806i | ||||
\(326\) | 3.57966 | + | 11.0171i | 0.198259 | + | 0.610179i | ||||
\(327\) | −7.78470 | − | 0.489772i | −0.430495 | − | 0.0270844i | ||||
\(328\) | −0.957768 | + | 7.58152i | −0.0528839 | + | 0.418619i | ||||
\(329\) | 15.5037 | + | 14.5590i | 0.854749 | + | 0.802663i | ||||
\(330\) | −4.76039 | + | 2.49399i | −0.262051 | + | 0.137290i | ||||
\(331\) | −21.0029 | + | 2.65328i | −1.15442 | + | 0.145837i | −0.679149 | − | 0.734001i | \(-0.737651\pi\) |
−0.475273 | + | 0.879838i | \(0.657651\pi\) | |||||||
\(332\) | −13.0860 | + | 4.25189i | −0.718185 | + | 0.233353i | ||||
\(333\) | 5.66902 | + | 6.03689i | 0.310660 | + | 0.330820i | ||||
\(334\) | −15.4780 | − | 3.97409i | −0.846921 | − | 0.217452i | ||||
\(335\) | −2.78370 | + | 6.63845i | −0.152090 | + | 0.362697i | ||||
\(336\) | 1.55259 | − | 1.87676i | 0.0847007 | − | 0.102386i | ||||
\(337\) | −1.37991 | + | 5.37440i | −0.0751686 | + | 0.292762i | −0.995042 | − | 0.0994522i | \(-0.968291\pi\) |
0.919874 | + | 0.392215i | \(0.128291\pi\) | |||||||
\(338\) | 6.82281 | − | 5.64432i | 0.371112 | − | 0.307010i | ||||
\(339\) | −1.43590 | − | 0.568511i | −0.0779872 | − | 0.0308773i | ||||
\(340\) | 0.0696457 | + | 0.657088i | 0.00377707 | + | 0.0356356i | ||||
\(341\) | −3.65480 | + | 5.75904i | −0.197918 | + | 0.311870i | ||||
\(342\) | 2.07759 | + | 0.396321i | 0.112343 | + | 0.0214306i | ||||
\(343\) | 18.6879 | + | 6.07206i | 1.00905 | + | 0.327860i | ||||
\(344\) | −2.51978 | − | 5.35481i | −0.135857 | − | 0.288712i | ||||
\(345\) | 13.8081 | + | 5.79013i | 0.743402 | + | 0.311730i | ||||
\(346\) | −13.5765 | + | 7.46374i | −0.729877 | + | 0.401253i | ||||
\(347\) | −6.78158 | − | 12.3356i | −0.364054 | − | 0.662212i | 0.629319 | − | 0.777147i | \(-0.283334\pi\) |
−0.993373 | + | 0.114935i | \(0.963334\pi\) | |||||||
\(348\) | −2.40898 | − | 1.99288i | −0.129135 | − | 0.106830i | ||||
\(349\) | 1.17910 | − | 0.856669i | 0.0631160 | − | 0.0458565i | −0.555780 | − | 0.831329i | \(-0.687580\pi\) |
0.618896 | + | 0.785473i | \(0.287580\pi\) | |||||||
\(350\) | 1.80023 | + | 12.0448i | 0.0962264 | + | 0.643824i | ||||
\(351\) | −1.64712 | − | 1.19670i | −0.0879169 | − | 0.0638754i | ||||
\(352\) | 0.597698 | + | 2.32788i | 0.0318574 | + | 0.124076i | ||||
\(353\) | −13.4725 | − | 6.33966i | −0.717067 | − | 0.337426i | 0.0323936 | − | 0.999475i | \(-0.489687\pi\) |
−0.749460 | + | 0.662049i | \(0.769687\pi\) | |||||||
\(354\) | 0.632552 | + | 3.31596i | 0.0336198 | + | 0.176241i | ||||
\(355\) | 7.66491 | + | 0.153829i | 0.406811 | + | 0.00816437i | ||||
\(356\) | 1.11472 | − | 1.04679i | 0.0590800 | − | 0.0554798i | ||||
\(357\) | 0.423069 | + | 0.582305i | 0.0223912 | + | 0.0308188i | ||||
\(358\) | 20.3849 | − | 9.59241i | 1.07738 | − | 0.506975i | ||||
\(359\) | −9.04129 | − | 10.9290i | −0.477181 | − | 0.576813i | 0.475911 | − | 0.879493i | \(-0.342118\pi\) |
−0.953092 | + | 0.302681i | \(0.902118\pi\) | |||||||
\(360\) | −2.14006 | + | 0.648173i | −0.112791 | + | 0.0341617i | ||||
\(361\) | −0.912130 | + | 14.4979i | −0.0480069 | + | 0.763047i | ||||
\(362\) | −8.15004 | + | 0.512757i | −0.428357 | + | 0.0269499i | ||||
\(363\) | 1.92299 | + | 4.85691i | 0.100931 | + | 0.254922i | ||||
\(364\) | 2.65718 | + | 4.18705i | 0.139274 | + | 0.219461i | ||||
\(365\) | 4.01136 | − | 14.4159i | 0.209964 | − | 0.754563i | ||||
\(366\) | −0.259826 | − | 4.12982i | −0.0135813 | − | 0.215869i | ||||
\(367\) | 0.0995491 | + | 0.788013i | 0.00519642 | + | 0.0411339i | 0.994500 | − | 0.104739i | \(-0.0334008\pi\) |
−0.989303 | + | 0.145873i | \(0.953401\pi\) | |||||||
\(368\) | 3.93587 | − | 5.41726i | 0.205171 | − | 0.282394i | ||||
\(369\) | 1.43193 | − | 7.50642i | 0.0745431 | − | 0.390769i | ||||
\(370\) | −3.83418 | + | 18.1165i | −0.199329 | + | 0.941833i | ||||
\(371\) | −12.3638 | + | 26.2743i | −0.641895 | + | 1.36410i | ||||
\(372\) | −1.94276 | + | 2.06883i | −0.100727 | + | 0.107264i | ||||
\(373\) | 1.83784 | − | 1.16633i | 0.0951596 | − | 0.0603901i | −0.487396 | − | 0.873181i | \(-0.662053\pi\) |
0.582555 | + | 0.812791i | \(0.302053\pi\) | |||||||
\(374\) | −0.710212 | −0.0367242 | ||||||||
\(375\) | 4.73371 | − | 10.1288i | 0.244448 | − | 0.523047i | ||||
\(376\) | −8.73171 | −0.450304 | ||||||||
\(377\) | 5.37444 | − | 3.41072i | 0.276798 | − | 0.175661i | ||||
\(378\) | −1.66737 | + | 1.77557i | −0.0857602 | + | 0.0913254i | ||||
\(379\) | −4.82407 | + | 10.2517i | −0.247796 | + | 0.526593i | −0.989569 | − | 0.144057i | \(-0.953985\pi\) |
0.741773 | + | 0.670651i | \(0.233985\pi\) | |||||||
\(380\) | 1.92741 | + | 4.31883i | 0.0988740 | + | 0.221551i | ||||
\(381\) | 2.58365 | − | 13.5440i | 0.132365 | − | 0.693879i | ||||
\(382\) | −0.116718 | + | 0.160648i | −0.00597181 | + | 0.00821949i | ||||
\(383\) | −2.22626 | − | 17.6227i | −0.113757 | − | 0.900476i | −0.940947 | − | 0.338554i | \(-0.890062\pi\) |
0.827190 | − | 0.561922i | \(-0.189938\pi\) | |||||||
\(384\) | 0.0627905 | + | 0.998027i | 0.00320427 | + | 0.0509303i | ||||
\(385\) | −13.0779 | + | 0.559624i | −0.666514 | + | 0.0285211i | ||||
\(386\) | 12.2051 | + | 19.2321i | 0.621222 | + | 0.978889i | ||||
\(387\) | 2.17858 | + | 5.50246i | 0.110743 | + | 0.279706i | ||||
\(388\) | 12.6855 | − | 0.798106i | 0.644010 | − | 0.0405177i | ||||
\(389\) | 0.197067 | − | 3.13229i | 0.00999169 | − | 0.158813i | −0.989867 | − | 0.141998i | \(-0.954647\pi\) |
0.999859 | − | 0.0168153i | \(-0.00535272\pi\) | |||||||
\(390\) | 0.0913473 | − | 4.55162i | 0.00462555 | − | 0.230480i | ||||
\(391\) | 1.26129 | + | 1.52464i | 0.0637862 | + | 0.0771042i | ||||
\(392\) | −0.965667 | + | 0.454408i | −0.0487735 | + | 0.0229511i | ||||
\(393\) | 2.63458 | + | 3.62618i | 0.132897 | + | 0.182917i | ||||
\(394\) | −15.0769 | + | 14.1581i | −0.759561 | + | 0.713275i | ||||
\(395\) | −15.3322 | − | 11.6166i | −0.771445 | − | 0.584493i | ||||
\(396\) | −0.450350 | − | 2.36082i | −0.0226309 | − | 0.118635i | ||||
\(397\) | −22.9958 | − | 10.8210i | −1.15413 | − | 0.543091i | −0.249113 | − | 0.968474i | \(-0.580139\pi\) |
−0.905013 | + | 0.425384i | \(0.860139\pi\) | |||||||
\(398\) | 1.57837 | + | 6.14736i | 0.0791168 | + | 0.308139i | ||||
\(399\) | 4.16780 | + | 3.02808i | 0.208651 | + | 0.151594i | ||||
\(400\) | −3.92391 | − | 3.09886i | −0.196196 | − | 0.154943i | ||||
\(401\) | 17.1490 | − | 12.4595i | 0.856382 | − | 0.622198i | −0.0705160 | − | 0.997511i | \(-0.522465\pi\) |
0.926898 | + | 0.375312i | \(0.122465\pi\) | |||||||
\(402\) | −2.48048 | − | 2.05203i | −0.123715 | − | 0.102346i | ||||
\(403\) | −2.78361 | − | 5.06337i | −0.138662 | − | 0.252225i | ||||
\(404\) | 13.6911 | − | 7.52675i | 0.681158 | − | 0.374470i | ||||
\(405\) | 2.17654 | − | 0.512518i | 0.108153 | − | 0.0254672i | ||||
\(406\) | −3.24240 | − | 6.89045i | −0.160918 | − | 0.341967i | ||||
\(407\) | −18.9293 | − | 6.15050i | −0.938291 | − | 0.304869i | ||||
\(408\) | −0.290271 | − | 0.0553721i | −0.0143705 | − | 0.00274133i | ||||
\(409\) | −10.5804 | + | 16.6720i | −0.523166 | + | 0.824377i | −0.998462 | − | 0.0554487i | \(-0.982341\pi\) |
0.475296 | + | 0.879826i | \(0.342341\pi\) | |||||||
\(410\) | 15.6041 | − | 6.96382i | 0.770633 | − | 0.343918i | ||||
\(411\) | −3.95027 | − | 1.56402i | −0.194853 | − | 0.0771476i | ||||
\(412\) | 4.09404 | − | 3.38689i | 0.201699 | − | 0.166860i | ||||
\(413\) | −2.04483 | + | 7.96408i | −0.100619 | + | 0.391887i | ||||
\(414\) | −4.26826 | + | 5.15943i | −0.209773 | + | 0.253572i | ||||
\(415\) | 23.3080 | + | 20.0833i | 1.14415 | + | 0.985851i | ||||
\(416\) | −1.97199 | − | 0.506322i | −0.0966849 | − | 0.0248245i | ||||
\(417\) | 7.02803 | + | 7.48409i | 0.344164 | + | 0.366497i | ||||
\(418\) | −4.83449 | + | 1.57082i | −0.236463 | + | 0.0768314i | ||||
\(419\) | −13.0203 | + | 1.64485i | −0.636084 | + | 0.0803562i | −0.436761 | − | 0.899578i | \(-0.643874\pi\) |
−0.199323 | + | 0.979934i | \(0.563874\pi\) | |||||||
\(420\) | −5.38872 | − | 0.790906i | −0.262942 | − | 0.0385922i | ||||
\(421\) | 25.1527 | + | 23.6200i | 1.22587 | + | 1.15117i | 0.983486 | + | 0.180985i | \(0.0579286\pi\) |
0.242382 | + | 0.970181i | \(0.422071\pi\) | |||||||
\(422\) | −1.42472 | + | 11.2778i | −0.0693543 | + | 0.548996i | ||||
\(423\) | 8.71448 | + | 0.548269i | 0.423713 | + | 0.0266577i | ||||
\(424\) | −3.68400 | − | 11.3382i | −0.178911 | − | 0.550632i | ||||
\(425\) | 1.17532 | − | 0.895373i | 0.0570115 | − | 0.0434320i | ||||
\(426\) | −1.05948 | + | 3.26074i | −0.0513319 | + | 0.157983i | ||||
\(427\) | 3.71033 | − | 9.37122i | 0.179555 | − | 0.453505i | ||||
\(428\) | 5.93741 | − | 1.13262i | 0.286995 | − | 0.0547473i | ||||
\(429\) | 4.85460 | + | 0.613279i | 0.234382 | + | 0.0296094i | ||||
\(430\) | −7.31344 | + | 11.0286i | −0.352685 | + | 0.531846i | ||||
\(431\) | −27.1979 | − | 14.9522i | −1.31008 | − | 0.720221i | −0.335027 | − | 0.942208i | \(-0.608746\pi\) |
−0.975050 | + | 0.221988i | \(0.928746\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 3.96725 | − | 7.21641i | 0.190654 | − | 0.346798i | −0.763653 | − | 0.645627i | \(-0.776596\pi\) |
0.954307 | + | 0.298829i | \(0.0965960\pi\) | |||||||
\(434\) | −6.42721 | + | 2.54471i | −0.308516 | + | 0.122150i | ||||
\(435\) | −1.01520 | + | 6.91689i | −0.0486749 | + | 0.331639i | ||||
\(436\) | 7.55504 | − | 1.93980i | 0.361821 | − | 0.0928997i | ||||
\(437\) | 11.9579 | + | 7.58870i | 0.572023 | + | 0.363017i | ||||
\(438\) | 5.65018 | + | 3.58571i | 0.269976 | + | 0.171332i | ||||
\(439\) | 21.1263 | − | 5.42431i | 1.00830 | − | 0.258888i | 0.291805 | − | 0.956478i | \(-0.405744\pi\) |
0.716497 | + | 0.697590i | \(0.245744\pi\) | |||||||
\(440\) | 3.75671 | − | 3.84297i | 0.179094 | − | 0.183206i | ||||
\(441\) | 0.992294 | − | 0.392877i | 0.0472521 | − | 0.0187084i | ||||
\(442\) | 0.289840 | − | 0.527216i | 0.0137863 | − | 0.0250771i | ||||
\(443\) | 22.7610i | 1.08141i | 0.841213 | + | 0.540704i | \(0.181842\pi\) | ||||
−0.841213 | + | 0.540704i | \(0.818158\pi\) | |||||||
\(444\) | −7.25706 | − | 3.98960i | −0.344405 | − | 0.189338i | ||||
\(445\) | −3.29418 | − | 0.916637i | −0.156159 | − | 0.0434528i | ||||
\(446\) | −0.418781 | − | 0.0529043i | −0.0198298 | − | 0.00250509i | ||||
\(447\) | 2.26662 | − | 0.432380i | 0.107207 | − | 0.0204509i | ||||
\(448\) | −0.896651 | + | 2.26468i | −0.0423628 | + | 0.106996i | ||||
\(449\) | 10.7706 | − | 33.1485i | 0.508297 | − | 1.56438i | −0.286860 | − | 0.957972i | \(-0.592612\pi\) |
0.795157 | − | 0.606404i | \(-0.207388\pi\) | |||||||
\(450\) | 3.72159 | + | 3.33913i | 0.175437 | + | 0.157408i | ||||
\(451\) | 5.67545 | + | 17.4672i | 0.267246 | + | 0.822500i | ||||
\(452\) | 1.54130 | + | 0.0969702i | 0.0724965 | + | 0.00456110i | ||||
\(453\) | −0.603294 | + | 4.77557i | −0.0283452 | + | 0.224376i | ||||
\(454\) | 15.9579 | + | 14.9855i | 0.748942 | + | 0.703304i | ||||
\(455\) | 4.92172 | − | 9.93663i | 0.230734 | − | 0.465836i | ||||
\(456\) | −2.09837 | + | 0.265086i | −0.0982653 | + | 0.0124138i | ||||
\(457\) | 20.2005 | − | 6.56353i | 0.944938 | − | 0.307029i | 0.204281 | − | 0.978912i | \(-0.434514\pi\) |
0.740657 | + | 0.671883i | \(0.234514\pi\) | |||||||
\(458\) | −9.41834 | − | 10.0295i | −0.440090 | − | 0.468648i | ||||
\(459\) | 0.286221 | + | 0.0734890i | 0.0133596 | + | 0.00343017i | ||||
\(460\) | −14.9215 | − | 1.23981i | −0.695719 | − | 0.0578065i | ||||
\(461\) | 24.7659 | − | 29.9368i | 1.15346 | − | 1.39429i | 0.248590 | − | 0.968609i | \(-0.420033\pi\) |
0.904871 | − | 0.425686i | \(-0.139967\pi\) | |||||||
\(462\) | 1.45583 | − | 5.67008i | 0.0677312 | − | 0.263796i | ||||
\(463\) | 19.1819 | − | 15.8687i | 0.891461 | − | 0.737480i | −0.0742119 | − | 0.997242i | \(-0.523644\pi\) |
0.965673 | + | 0.259762i | \(0.0836441\pi\) | |||||||
\(464\) | 2.90692 | + | 1.15093i | 0.134950 | + | 0.0534305i | ||||
\(465\) | 6.20849 | + | 1.31396i | 0.287912 | + | 0.0609335i | ||||
\(466\) | 4.08783 | − | 6.44139i | 0.189365 | − | 0.298391i | ||||
\(467\) | 31.6208 | + | 6.03199i | 1.46324 | + | 0.279127i | 0.856653 | − | 0.515894i | \(-0.172540\pi\) |
0.606582 | + | 0.795021i | \(0.292540\pi\) | |||||||
\(468\) | 1.93631 | + | 0.629145i | 0.0895059 | + | 0.0290822i | ||||
\(469\) | −3.33863 | − | 7.09495i | −0.154164 | − | 0.327614i | ||||
\(470\) | 10.1290 | + | 16.6918i | 0.467215 | + | 0.769937i | ||||
\(471\) | −15.9931 | + | 8.79229i | −0.736924 | + | 0.405127i | ||||
\(472\) | −1.62628 | − | 2.95819i | −0.0748556 | − | 0.136162i | ||||
\(473\) | −10.9593 | − | 9.06630i | −0.503908 | − | 0.416869i | ||||
\(474\) | 6.95962 | − | 5.05646i | 0.319666 | − | 0.232251i | ||||
\(475\) | 6.02019 | − | 8.69444i | 0.276225 | − | 0.398928i | ||||
\(476\) | −0.582305 | − | 0.423069i | −0.0266899 | − | 0.0193913i | ||||
\(477\) | 2.96480 | + | 11.5471i | 0.135749 | + | 0.528707i | ||||
\(478\) | 11.7503 | + | 5.52928i | 0.537447 | + | 0.252903i | ||||
\(479\) | −0.403978 | − | 2.11773i | −0.0184582 | − | 0.0967614i | 0.971866 | − | 0.235535i | \(-0.0756841\pi\) |
−0.990324 | + | 0.138773i | \(0.955684\pi\) | |||||||
\(480\) | 1.83502 | − | 1.27776i | 0.0837570 | − | 0.0583217i | ||||
\(481\) | 12.2909 | − | 11.5419i | 0.560415 | − | 0.526264i | ||||
\(482\) | −7.94936 | − | 10.9414i | −0.362084 | − | 0.498365i | ||||
\(483\) | −14.7576 | + | 6.94440i | −0.671494 | + | 0.315981i | ||||
\(484\) | −3.32973 | − | 4.02496i | −0.151352 | − | 0.182953i | ||||
\(485\) | −16.2412 | − | 23.3243i | −0.737474 | − | 1.05910i | ||||
\(486\) | −0.0627905 | + | 0.998027i | −0.00284824 | + | 0.0452714i | ||||
\(487\) | −40.1285 | + | 2.52467i | −1.81839 | + | 0.114404i | −0.935093 | − | 0.354403i | \(-0.884684\pi\) |
−0.883301 | + | 0.468806i | \(0.844684\pi\) | |||||||
\(488\) | 1.52329 | + | 3.84740i | 0.0689563 | + | 0.174164i | ||||
\(489\) | 6.20704 | + | 9.78072i | 0.280692 | + | 0.442300i | ||||
\(490\) | 1.98886 | + | 1.31888i | 0.0898474 | + | 0.0595809i | ||||
\(491\) | 0.698591 | + | 11.1038i | 0.0315270 | + | 0.501107i | 0.981828 | + | 0.189774i | \(0.0607755\pi\) |
−0.950301 | + | 0.311333i | \(0.899224\pi\) | |||||||
\(492\) | 0.957768 | + | 7.58152i | 0.0431795 | + | 0.341801i | ||||
\(493\) | −0.543046 | + | 0.747439i | −0.0244576 | + | 0.0336630i | ||||
\(494\) | 0.806892 | − | 4.22988i | 0.0363038 | − | 0.190311i | ||||
\(495\) | −3.99060 | + | 3.59950i | −0.179364 | + | 0.161786i | ||||
\(496\) | 1.20837 | − | 2.56792i | 0.0542574 | − | 0.115303i | ||||
\(497\) | −5.71665 | + | 6.08761i | −0.256427 | + | 0.273067i | ||||
\(498\) | −11.6174 | + | 7.37265i | −0.520590 | + | 0.330376i | ||||
\(499\) | 22.3951 | 1.00254 | 0.501272 | − | 0.865290i | \(-0.332866\pi\) | ||||
0.501272 | + | 0.865290i | \(0.332866\pi\) | |||||||
\(500\) | −1.37206 | + | 11.0958i | −0.0613606 | + | 0.496221i | ||||
\(501\) | −15.9801 | −0.713938 | ||||||||
\(502\) | 10.6709 | − | 6.77194i | 0.476264 | − | 0.302246i | ||||
\(503\) | −18.5577 | + | 19.7620i | −0.827448 | + | 0.881143i | −0.994493 | − | 0.104806i | \(-0.966578\pi\) |
0.167044 | + | 0.985949i | \(0.446578\pi\) | |||||||
\(504\) | 1.03708 | − | 2.20391i | 0.0461953 | − | 0.0981700i | ||||
\(505\) | −30.2704 | − | 17.4412i | −1.34701 | − | 0.776124i | ||||
\(506\) | 3.01559 | − | 15.8083i | 0.134059 | − | 0.702763i | ||||
\(507\) | 5.20477 | − | 7.16375i | 0.231152 | − | 0.318153i | ||||
\(508\) | 1.72812 | + | 13.6795i | 0.0766730 | + | 0.606929i | ||||
\(509\) | 2.70261 | + | 42.9568i | 0.119791 | + | 1.90403i | 0.359443 | + | 0.933167i | \(0.382967\pi\) |
−0.239652 | + | 0.970859i | \(0.577033\pi\) | |||||||
\(510\) | 0.230869 | + | 0.619124i | 0.0102230 | + | 0.0274153i | ||||
\(511\) | 8.73381 | + | 13.7623i | 0.386361 | + | 0.608808i | ||||
\(512\) | −0.368125 | − | 0.929776i | −0.0162690 | − | 0.0410907i | ||||
\(513\) | 2.11088 | − | 0.132805i | 0.0931975 | − | 0.00586349i | ||||
\(514\) | −1.84407 | + | 29.3106i | −0.0813383 | + | 1.29283i | ||||
\(515\) | −11.2237 | − | 3.89746i | −0.494574 | − | 0.171742i | ||||
\(516\) | −3.77230 | − | 4.55993i | −0.166066 | − | 0.200740i | ||||
\(517\) | −18.9884 | + | 8.93526i | −0.835109 | + | 0.392972i | ||||
\(518\) | −11.8564 | − | 16.3189i | −0.520939 | − | 0.717011i | ||||
\(519\) | −11.2938 | + | 10.6056i | −0.495743 | + | 0.465534i | ||||
\(520\) | 1.31965 | + | 4.35707i | 0.0578705 | + | 0.191070i | ||||
\(521\) | −7.65240 | − | 40.1153i | −0.335258 | − | 1.75748i | −0.606607 | − | 0.795002i | \(-0.707470\pi\) |
0.271350 | − | 0.962481i | \(-0.412530\pi\) | |||||||
\(522\) | −2.82891 | − | 1.33118i | −0.123818 | − | 0.0582644i | ||||
\(523\) | 8.62763 | + | 33.6024i | 0.377260 | + | 1.46933i | 0.819835 | + | 0.572599i | \(0.194065\pi\) |
−0.442576 | + | 0.896731i | \(0.645935\pi\) | |||||||
\(524\) | −3.62618 | − | 2.63458i | −0.158410 | − | 0.115092i | ||||
\(525\) | 4.73910 | + | 11.2187i | 0.206831 | + | 0.489626i | ||||
\(526\) | 14.0520 | − | 10.2094i | 0.612698 | − | 0.445151i | ||||
\(527\) | 0.646190 | + | 0.534575i | 0.0281485 | + | 0.0232864i | ||||
\(528\) | 1.15784 | + | 2.10610i | 0.0503885 | + | 0.0916564i | ||||
\(529\) | −19.1366 | + | 10.5204i | −0.832025 | + | 0.457410i | ||||
\(530\) | −17.4010 | + | 20.1950i | −0.755850 | + | 0.877216i | ||||
\(531\) | 1.43732 | + | 3.05447i | 0.0623746 | + | 0.132553i | ||||
\(532\) | −4.89954 | − | 1.59196i | −0.212422 | − | 0.0690201i | ||||
\(533\) | −15.2827 | − | 2.91534i | −0.661969 | − | 0.126277i | ||||
\(534\) | 0.819372 | − | 1.29112i | 0.0354577 | − | 0.0558724i | ||||
\(535\) | −9.05268 | − | 10.0363i | −0.391381 | − | 0.433907i | ||||
\(536\) | 2.99319 | + | 1.18509i | 0.129286 | + | 0.0511880i | ||||
\(537\) | 17.3590 | − | 14.3606i | 0.749094 | − | 0.619705i | ||||
\(538\) | 3.46334 | − | 13.4888i | 0.149315 | − | 0.581544i | ||||
\(539\) | −1.63498 | + | 1.97636i | −0.0704238 | + | 0.0851277i | ||||
\(540\) | −1.91164 | + | 1.16002i | −0.0822637 | + | 0.0499194i | ||||
\(541\) | 3.55818 | + | 0.913586i | 0.152978 | + | 0.0392781i | 0.324402 | − | 0.945919i | \(-0.394837\pi\) |
−0.171424 | + | 0.985197i | \(0.554837\pi\) | |||||||
\(542\) | −16.0412 | − | 17.0822i | −0.689031 | − | 0.733743i | ||||
\(543\) | −7.76647 | + | 2.52348i | −0.333291 | + | 0.108293i | ||||
\(544\) | 0.293175 | − | 0.0370366i | 0.0125698 | − | 0.00158793i | ||||
\(545\) | −12.4722 | − | 12.1923i | −0.534250 | − | 0.522259i | ||||
\(546\) | 3.61498 | + | 3.39469i | 0.154707 | + | 0.145279i | ||||
\(547\) | 1.44641 | − | 11.4495i | 0.0618438 | − | 0.489544i | −0.930524 | − | 0.366231i | \(-0.880648\pi\) |
0.992368 | − | 0.123313i | \(-0.0393520\pi\) | |||||||
\(548\) | 4.24024 | + | 0.266773i | 0.181134 | + | 0.0113960i | ||||
\(549\) | −1.27871 | − | 3.93546i | −0.0545739 | − | 0.167961i | ||||
\(550\) | −11.7042 | − | 2.72354i | −0.499070 | − | 0.116132i | ||||
\(551\) | −2.04342 | + | 6.28899i | −0.0870525 | + | 0.267920i | ||||
\(552\) | 2.46500 | − | 6.22588i | 0.104917 | − | 0.264991i | ||||
\(553\) | 20.5823 | − | 3.92629i | 0.875250 | − | 0.166963i | ||||
\(554\) | 15.3542 | + | 1.93969i | 0.652339 | + | 0.0824095i | ||||
\(555\) | 0.791680 | + | 18.5009i | 0.0336049 | + | 0.785319i | ||||
\(556\) | −8.99676 | − | 4.94601i | −0.381548 | − | 0.209758i | ||||
\(557\) | − | 44.8771i | − | 1.90150i | −0.309953 | − | 0.950752i | \(-0.600313\pi\) | ||
0.309953 | − | 0.950752i | \(-0.399687\pi\) | |||||||
\(558\) | −1.36723 | + | 2.48698i | −0.0578793 | + | 0.105282i | ||||
\(559\) | 11.2028 | − | 4.43549i | 0.473826 | − | 0.187601i | ||||
\(560\) | 5.36938 | − | 0.913009i | 0.226898 | − | 0.0385817i | ||||
\(561\) | −0.687899 | + | 0.176623i | −0.0290431 | + | 0.00745701i | ||||
\(562\) | 11.9051 | + | 7.55523i | 0.502188 | + | 0.318698i | ||||
\(563\) | 16.6105 | + | 10.5413i | 0.700047 | + | 0.444263i | 0.837638 | − | 0.546226i | \(-0.183936\pi\) |
−0.137591 | + | 0.990489i | \(0.543936\pi\) | |||||||
\(564\) | −8.45739 | + | 2.17149i | −0.356120 | + | 0.0914361i | ||||
\(565\) | −1.60257 | − | 3.05889i | −0.0674205 | − | 0.128688i | ||||
\(566\) | 10.3598 | − | 4.10174i | 0.435455 | − | 0.172409i | ||||
\(567\) | −1.17342 | + | 2.13444i | −0.0492790 | + | 0.0896382i | ||||
\(568\) | − | 3.42854i | − | 0.143858i | ||||||
\(569\) | 12.8021 | + | 7.03803i | 0.536693 | + | 0.295050i | 0.726957 | − | 0.686684i | \(-0.240934\pi\) |
−0.190263 | + | 0.981733i | \(0.560934\pi\) | |||||||
\(570\) | 2.94091 | + | 3.70382i | 0.123181 | + | 0.155136i | ||||
\(571\) | 0.846527 | + | 0.106941i | 0.0354260 | + | 0.00447535i | 0.143026 | − | 0.989719i | \(-0.454317\pi\) |
−0.107600 | + | 0.994194i | \(0.534317\pi\) | |||||||
\(572\) | −4.80652 | + | 0.916892i | −0.200971 | + | 0.0383372i | ||||
\(573\) | −0.0730994 | + | 0.184628i | −0.00305377 | + | 0.00771294i | ||||
\(574\) | −5.75182 | + | 17.7023i | −0.240076 | + | 0.738878i | ||||
\(575\) | 14.9392 | + | 29.9627i | 0.623008 | + | 1.24953i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | −42.5354 | − | 2.67610i | −1.77077 | − | 0.111408i | −0.856408 | − | 0.516300i | \(-0.827309\pi\) |
−0.914364 | + | 0.404892i | \(0.867309\pi\) | |||||||
\(578\) | 2.11972 | − | 16.7793i | 0.0881687 | − | 0.697928i | ||||
\(579\) | 16.6045 | + | 15.5926i | 0.690058 | + | 0.648007i | ||||
\(580\) | −1.17193 | − | 6.89206i | −0.0486616 | − | 0.286177i | ||||
\(581\) | −33.2498 | + | 4.20043i | −1.37944 | + | 0.174263i | ||||
\(582\) | 12.0885 | − | 3.92779i | 0.501085 | − | 0.162812i | ||||
\(583\) | −19.6139 | − | 20.8867i | −0.812326 | − | 0.865039i | ||||
\(584\) | −6.48168 | − | 1.66421i | −0.268214 | − | 0.0688656i | ||||
\(585\) | −1.04346 | − | 4.43134i | −0.0431419 | − | 0.183213i | ||||
\(586\) | 5.77992 | − | 6.98672i | 0.238766 | − | 0.288619i | ||||
\(587\) | 8.33483 | − | 32.4620i | 0.344015 | − | 1.33985i | −0.527530 | − | 0.849536i | \(-0.676882\pi\) |
0.871545 | − | 0.490315i | \(-0.163118\pi\) | |||||||
\(588\) | −0.822322 | + | 0.680284i | −0.0339120 | + | 0.0280544i | ||||
\(589\) | 5.58104 | + | 2.20969i | 0.229963 | + | 0.0910487i | ||||
\(590\) | −3.76847 | + | 6.54042i | −0.155145 | + | 0.269265i | ||||
\(591\) | −11.0822 | + | 17.4628i | −0.455861 | + | 0.718323i | ||||
\(592\) | 8.13473 | + | 1.55178i | 0.334335 | + | 0.0637779i | ||||
\(593\) | 24.0977 | + | 7.82981i | 0.989573 | + | 0.321532i | 0.758691 | − | 0.651450i | \(-0.225839\pi\) |
0.230881 | + | 0.972982i | \(0.425839\pi\) | |||||||
\(594\) | −1.02331 | − | 2.17465i | −0.0419870 | − | 0.0892269i | ||||
\(595\) | −0.133268 | + | 1.60392i | −0.00546346 | + | 0.0657545i | ||||
\(596\) | −2.02207 | + | 1.11164i | −0.0828271 | + | 0.0455346i | ||||
\(597\) | 3.05757 | + | 5.56171i | 0.125138 | + | 0.227625i | ||||
\(598\) | 10.5044 | + | 8.68998i | 0.429556 | + | 0.355360i | ||||
\(599\) | 7.14284 | − | 5.18958i | 0.291848 | − | 0.212040i | −0.432220 | − | 0.901768i | \(-0.642270\pi\) |
0.724069 | + | 0.689728i | \(0.242270\pi\) | |||||||
\(600\) | −4.57129 | − | 2.02566i | −0.186622 | − | 0.0826974i | ||||
\(601\) | −21.7072 | − | 15.7712i | −0.885453 | − | 0.643320i | 0.0492352 | − | 0.998787i | \(-0.484322\pi\) |
−0.934689 | + | 0.355468i | \(0.884322\pi\) | |||||||
\(602\) | −3.58480 | − | 13.9619i | −0.146105 | − | 0.569043i | ||||
\(603\) | −2.91287 | − | 1.37069i | −0.118621 | − | 0.0558189i | ||||
\(604\) | −0.901964 | − | 4.72826i | −0.0367004 | − | 0.192390i | ||||
\(605\) | −3.83169 | + | 11.0343i | −0.155780 | + | 0.448607i | ||||
\(606\) | 11.3892 | − | 10.6951i | 0.462653 | − | 0.434460i | ||||
\(607\) | −1.84350 | − | 2.53736i | −0.0748255 | − | 0.102988i | 0.769964 | − | 0.638088i | \(-0.220274\pi\) |
−0.844789 | + | 0.535099i | \(0.820274\pi\) | |||||||
\(608\) | 1.91376 | − | 0.900545i | 0.0776130 | − | 0.0365219i | ||||
\(609\) | −4.85412 | − | 5.86762i | −0.196699 | − | 0.237768i | ||||
\(610\) | 5.58778 | − | 7.37505i | 0.226242 | − | 0.298607i | ||||
\(611\) | 1.11625 | − | 17.7423i | 0.0451587 | − | 0.717776i | ||||
\(612\) | −0.294922 | + | 0.0185549i | −0.0119215 | + | 0.000750037i | ||||
\(613\) | −16.1884 | − | 40.8873i | −0.653844 | − | 1.65142i | −0.754339 | − | 0.656485i | \(-0.772043\pi\) |
0.100495 | − | 0.994938i | \(-0.467957\pi\) | |||||||
\(614\) | −5.53018 | − | 8.71416i | −0.223180 | − | 0.351675i | ||||
\(615\) | 13.3821 | − | 10.6256i | 0.539617 | − | 0.428467i | ||||
\(616\) | 0.367575 | + | 5.84244i | 0.0148100 | + | 0.235399i | ||||
\(617\) | 4.09491 | + | 32.4146i | 0.164855 | + | 1.30496i | 0.829796 | + | 0.558066i | \(0.188456\pi\) |
−0.664941 | + | 0.746895i | \(0.731544\pi\) | |||||||
\(618\) | 3.12314 | − | 4.29863i | 0.125631 | − | 0.172916i | ||||
\(619\) | −0.971859 | + | 5.09466i | −0.0390623 | + | 0.204772i | −0.996468 | − | 0.0839748i | \(-0.973238\pi\) |
0.957406 | + | 0.288747i | \(0.0932385\pi\) | |||||||
\(620\) | −6.31066 | + | 0.668876i | −0.253442 | + | 0.0268627i | ||||
\(621\) | −2.85106 | + | 6.05881i | −0.114409 | + | 0.243132i | ||||
\(622\) | 5.05658 | − | 5.38471i | 0.202751 | − | 0.215907i | ||||
\(623\) | 3.14482 | − | 1.99577i | 0.125995 | − | 0.0799587i | ||||
\(624\) | −2.03596 | −0.0815035 | ||||||||
\(625\) | 22.8028 | − | 10.2485i | 0.912112 | − | 0.409940i | ||||
\(626\) | −10.1236 | −0.404620 | ||||||||
\(627\) | −4.29196 | + | 2.72376i | −0.171404 | + | 0.108776i | ||||
\(628\) | 12.4934 | − | 13.3041i | 0.498541 | − | 0.530892i | ||||
\(629\) | −1.04197 | + | 2.21429i | −0.0415459 | + | 0.0882896i | ||||
\(630\) | −5.41611 | + | 0.574062i | −0.215783 | + | 0.0228712i | ||||
\(631\) | 5.49502 | − | 28.8059i | 0.218753 | − | 1.14674i | −0.688202 | − | 0.725519i | \(-0.741600\pi\) |
0.906956 | − | 0.421226i | \(-0.138400\pi\) | |||||||
\(632\) | −5.05646 | + | 6.95962i | −0.201135 | + | 0.276839i | ||||
\(633\) | 1.42472 | + | 11.2778i | 0.0566275 | + | 0.448253i | ||||
\(634\) | −1.53956 | − | 24.4706i | −0.0611437 | − | 0.971851i | ||||
\(635\) | 24.1455 | − | 19.1720i | 0.958186 | − | 0.760819i | ||||
\(636\) | −6.38796 | − | 10.0658i | −0.253299 | − | 0.399135i | ||||
\(637\) | −0.799880 | − | 2.02027i | −0.0316924 | − | 0.0800459i | ||||
\(638\) | 7.49928 | − | 0.471815i | 0.296899 | − | 0.0186793i | ||||
\(639\) | −0.215280 | + | 3.42178i | −0.00851634 | + | 0.135363i | ||||
\(640\) | −1.35036 | + | 1.78228i | −0.0533777 | + | 0.0704508i | ||||
\(641\) | 0.631420 | + | 0.763255i | 0.0249396 | + | 0.0301468i | 0.782836 | − | 0.622229i | \(-0.213773\pi\) |
−0.757896 | + | 0.652375i | \(0.773773\pi\) | |||||||
\(642\) | 5.46920 | − | 2.57361i | 0.215852 | − | 0.101572i | ||||
\(643\) | 22.3232 | + | 30.7253i | 0.880341 | + | 1.21169i | 0.976326 | + | 0.216303i | \(0.0693999\pi\) |
−0.0959849 | + | 0.995383i | \(0.530600\pi\) | |||||||
\(644\) | 11.8894 | − | 11.1649i | 0.468507 | − | 0.439958i | ||||
\(645\) | −4.34097 | + | 12.5009i | −0.170926 | + | 0.492222i | ||||
\(646\) | 0.117115 | + | 0.613937i | 0.00460782 | + | 0.0241550i | ||||
\(647\) | 2.53644 | + | 1.19356i | 0.0997178 | + | 0.0469236i | 0.474991 | − | 0.879991i | \(-0.342451\pi\) |
−0.375274 | + | 0.926914i | \(0.622451\pi\) | |||||||
\(648\) | −0.248690 | − | 0.968583i | −0.00976946 | − | 0.0380495i | ||||
\(649\) | −6.56374 | − | 4.76884i | −0.257649 | − | 0.187193i | ||||
\(650\) | 6.79832 | − | 7.57699i | 0.266652 | − | 0.297194i | ||||
\(651\) | −5.59244 | + | 4.06315i | −0.219185 | + | 0.159247i | ||||
\(652\) | −8.92565 | − | 7.38394i | −0.349556 | − | 0.289177i | ||||
\(653\) | 5.75379 | + | 10.4661i | 0.225163 | + | 0.409570i | 0.964624 | − | 0.263629i | \(-0.0849196\pi\) |
−0.739461 | + | 0.673199i | \(0.764920\pi\) | |||||||
\(654\) | 6.83527 | − | 3.75772i | 0.267280 | − | 0.146939i | ||||
\(655\) | −0.829899 | + | 9.98810i | −0.0324268 | + | 0.390267i | ||||
\(656\) | −3.25371 | − | 6.91448i | −0.127036 | − | 0.269965i | ||||
\(657\) | 6.36440 | + | 2.06792i | 0.248299 | + | 0.0806772i | ||||
\(658\) | −20.8913 | − | 3.98524i | −0.814429 | − | 0.155361i | ||||
\(659\) | −14.0119 | + | 22.0793i | −0.545827 | + | 0.860086i | −0.999517 | − | 0.0310734i | \(-0.990107\pi\) |
0.453690 | + | 0.891160i | \(0.350107\pi\) | |||||||
\(660\) | 2.68298 | − | 4.65649i | 0.104435 | − | 0.181254i | ||||
\(661\) | 31.3087 | + | 12.3960i | 1.21777 | + | 0.482148i | 0.887091 | − | 0.461595i | \(-0.152723\pi\) |
0.330677 | + | 0.943744i | \(0.392723\pi\) | |||||||
\(662\) | 16.3116 | − | 13.4941i | 0.633969 | − | 0.524464i | ||||
\(663\) | 0.149620 | − | 0.582733i | 0.00581078 | − | 0.0226315i | ||||
\(664\) | 8.77057 | − | 10.6018i | 0.340364 | − | 0.411429i | ||||
\(665\) | 2.64033 | + | 11.2128i | 0.102388 | + | 0.434816i | ||||
\(666\) | −8.02124 | − | 2.05951i | −0.310817 | − | 0.0798042i | ||||
\(667\) | −14.3311 | − | 15.2611i | −0.554902 | − | 0.590911i | ||||
\(668\) | 15.1980 | − | 4.93812i | 0.588027 | − | 0.191062i | ||||
\(669\) | −0.418781 | + | 0.0529043i | −0.0161910 | + | 0.00204540i | ||||
\(670\) | −1.20671 | − | 7.09661i | −0.0466192 | − | 0.274166i | ||||
\(671\) | 7.24972 | + | 6.80794i | 0.279872 | + | 0.262818i | ||||
\(672\) | −0.305277 | + | 2.41652i | −0.0117763 | + | 0.0932193i | ||||
\(673\) | 2.81993 | + | 0.177415i | 0.108700 | + | 0.00683884i | 0.117047 | − | 0.993126i | \(-0.462657\pi\) |
−0.00834720 | + | 0.999965i | \(0.502657\pi\) | |||||||
\(674\) | −1.71465 | − | 5.27715i | −0.0660459 | − | 0.203268i | ||||
\(675\) | 4.43508 | + | 2.30870i | 0.170706 | + | 0.0888619i | ||||
\(676\) | −2.73631 | + | 8.42150i | −0.105243 | + | 0.323904i | ||||
\(677\) | −0.181707 | + | 0.458938i | −0.00698355 | + | 0.0176384i | −0.933226 | − | 0.359289i | \(-0.883019\pi\) |
0.926243 | + | 0.376927i | \(0.123019\pi\) | |||||||
\(678\) | 1.51699 | − | 0.289381i | 0.0582597 | − | 0.0111136i | ||||
\(679\) | 30.7154 | + | 3.88026i | 1.17875 | + | 0.148911i | ||||
\(680\) | −0.410889 | − | 0.517480i | −0.0157569 | − | 0.0198444i | ||||
\(681\) | 19.1833 | + | 10.5461i | 0.735106 | + | 0.404128i | ||||
\(682\) | − | 6.82086i | − | 0.261184i | ||||||
\(683\) | 18.9291 | − | 34.4320i | 0.724303 | − | 1.31750i | −0.215742 | − | 0.976451i | \(-0.569217\pi\) |
0.940045 | − | 0.341052i | \(-0.110783\pi\) | |||||||
\(684\) | −1.96652 | + | 0.778602i | −0.0751919 | + | 0.0297706i | ||||
\(685\) | −4.40880 | − | 8.41526i | −0.168452 | − | 0.321531i | ||||
\(686\) | −19.0323 | + | 4.88665i | −0.726655 | + | 0.186573i | ||||
\(687\) | −11.6167 | − | 7.37217i | −0.443204 | − | 0.281266i | ||||
\(688\) | 4.99677 | + | 3.17105i | 0.190500 | + | 0.120895i | ||||
\(689\) | 23.5095 | − | 6.03621i | 0.895640 | − | 0.229961i | ||||
\(690\) | −14.7611 | + | 2.50997i | −0.561944 | + | 0.0955530i | ||||
\(691\) | 1.42445 | − | 0.563981i | 0.0541887 | − | 0.0214548i | −0.340874 | − | 0.940109i | \(-0.610723\pi\) |
0.395063 | + | 0.918654i | \(0.370723\pi\) | |||||||
\(692\) | 7.46374 | − | 13.5765i | 0.283729 | − | 0.516101i | ||||
\(693\) | − | 5.85399i | − | 0.222375i | ||||||
\(694\) | 12.3356 | + | 6.78158i | 0.468255 | + | 0.257425i | ||||
\(695\) | 0.981465 | + | 22.9360i | 0.0372291 | + | 0.870012i | ||||
\(696\) | 3.10181 | + | 0.391850i | 0.117574 | + | 0.0148530i | ||||
\(697\) | 2.21818 | − | 0.423141i | 0.0840196 | − | 0.0160276i | ||||
\(698\) | −0.536524 | + | 1.35511i | −0.0203077 | + | 0.0512915i | ||||
\(699\) | 2.35749 | − | 7.25562i | 0.0891686 | − | 0.274433i | ||||
\(700\) | −7.97393 | − | 9.20518i | −0.301386 | − | 0.347923i | ||||
\(701\) | 2.08848 | + | 6.42767i | 0.0788807 | + | 0.242770i | 0.982719 | − | 0.185105i | \(-0.0592625\pi\) |
−0.903838 | + | 0.427875i | \(0.859262\pi\) | |||||||
\(702\) | 2.03194 | + | 0.127839i | 0.0766906 | + | 0.00482496i | ||||
\(703\) | −2.19529 | + | 17.3775i | −0.0827969 | + | 0.655405i | ||||
\(704\) | −1.75199 | − | 1.64523i | −0.0660307 | − | 0.0620070i | ||||
\(705\) | 13.9618 | + | 13.6485i | 0.525833 | + | 0.514031i | ||||
\(706\) | 14.7721 | − | 1.86615i | 0.555957 | − | 0.0702337i | ||||
\(707\) | 36.1924 | − | 11.7596i | 1.36116 | − | 0.442266i | ||||
\(708\) | −2.31086 | − | 2.46082i | −0.0868474 | − | 0.0924831i | ||||
\(709\) | 18.1521 | + | 4.66067i | 0.681717 | + | 0.175035i | 0.573640 | − | 0.819107i | \(-0.305531\pi\) |
0.108077 | + | 0.994143i | \(0.465531\pi\) | |||||||
\(710\) | −6.55412 | + | 3.97718i | −0.245972 | + | 0.149261i | ||||
\(711\) | 5.48348 | − | 6.62839i | 0.205646 | − | 0.248584i | ||||
\(712\) | −0.380290 | + | 1.48113i | −0.0142520 | + | 0.0555078i | ||||
\(713\) | −14.6426 | + | 12.1134i | −0.548369 | + | 0.453650i | ||||
\(714\) | −0.669224 | − | 0.264964i | −0.0250451 | − | 0.00991605i | ||||
\(715\) | 7.32842 | + | 8.12469i | 0.274068 | + | 0.303846i | ||||
\(716\) | −12.0717 | + | 19.0219i | −0.451140 | + | 0.710883i | ||||
\(717\) | 12.7562 | + | 2.43338i | 0.476390 | + | 0.0908762i | ||||
\(718\) | 13.4899 | + | 4.38313i | 0.503438 | + | 0.163577i | ||||
\(719\) | 8.04847 | + | 17.1039i | 0.300157 | + | 0.637867i | 0.996833 | − | 0.0795192i | \(-0.0253385\pi\) |
−0.696676 | + | 0.717386i | \(0.745338\pi\) | |||||||
\(720\) | 1.45961 | − | 1.69397i | 0.0543963 | − | 0.0631307i | ||||
\(721\) | 11.3411 | − | 6.23485i | 0.422366 | − | 0.232198i | ||||
\(722\) | −6.99822 | − | 12.7297i | −0.260447 | − | 0.473751i | ||||
\(723\) | −10.4206 | − | 8.62069i | −0.387547 | − | 0.320607i | ||||
\(724\) | 6.60656 | − | 4.79994i | 0.245531 | − | 0.178389i | ||||
\(725\) | −11.8157 | + | 10.2352i | −0.438822 | + | 0.380127i | ||||
\(726\) | −4.22609 | − | 3.07044i | −0.156845 | − | 0.113955i | ||||
\(727\) | −13.0812 | − | 50.9478i | −0.485154 | − | 1.88955i | −0.456012 | − | 0.889973i | \(-0.650723\pi\) |
−0.0291412 | − | 0.999575i | \(-0.509277\pi\) | |||||||
\(728\) | −4.48706 | − | 2.11145i | −0.166302 | − | 0.0782556i | ||||
\(729\) | 0.187381 | + | 0.982287i | 0.00694005 | + | 0.0363810i | ||||
\(730\) | 4.33752 | + | 14.3211i | 0.160539 | + | 0.530049i | ||||
\(731\) | −1.27483 | + | 1.19714i | −0.0471512 | + | 0.0442779i | ||||
\(732\) | 2.43225 | + | 3.34770i | 0.0898984 | + | 0.123735i | ||||
\(733\) | 18.9832 | − | 8.93282i | 0.701161 | − | 0.329941i | −0.0419406 | − | 0.999120i | \(-0.513354\pi\) |
0.743101 | + | 0.669179i | \(0.233354\pi\) | |||||||
\(734\) | −0.506290 | − | 0.612000i | −0.0186875 | − | 0.0225893i | ||||
\(735\) | 2.25437 | + | 0.782836i | 0.0831535 | + | 0.0288753i | ||||
\(736\) | −0.420452 | + | 6.68289i | −0.0154981 | + | 0.246335i | ||||
\(737\) | 7.72184 | − | 0.485817i | 0.284438 | − | 0.0178953i | ||||
\(738\) | 2.81312 | + | 7.10514i | 0.103553 | + | 0.261544i | ||||
\(739\) | −4.75579 | − | 7.49392i | −0.174944 | − | 0.275668i | 0.745529 | − | 0.666473i | \(-0.232197\pi\) |
−0.920474 | + | 0.390805i | \(0.872197\pi\) | |||||||
\(740\) | −6.47002 | − | 17.3507i | −0.237843 | − | 0.637826i | ||||
\(741\) | −0.270385 | − | 4.29765i | −0.00993286 | − | 0.157878i | ||||
\(742\) | −3.63942 | − | 28.8090i | −0.133607 | − | 1.05761i | ||||
\(743\) | 23.1329 | − | 31.8398i | 0.848665 | − | 1.16809i | −0.135490 | − | 0.990779i | \(-0.543261\pi\) |
0.984155 | − | 0.177309i | \(-0.0567392\pi\) | |||||||
\(744\) | 0.531792 | − | 2.78775i | 0.0194964 | − | 0.102204i | ||||
\(745\) | 4.47069 | + | 2.57593i | 0.163794 | + | 0.0943747i | ||||
\(746\) | −0.926788 | + | 1.96953i | −0.0339321 | + | 0.0721094i | ||||
\(747\) | −9.41895 | + | 10.0302i | −0.344621 | + | 0.366985i | ||||
\(748\) | 0.599652 | − | 0.380551i | 0.0219254 | − | 0.0139143i | ||||
\(749\) | 14.7227 | 0.537955 | ||||||||
\(750\) | 1.43046 | + | 11.0885i | 0.0522331 | + | 0.404893i | ||||
\(751\) | −33.5928 | −1.22582 | −0.612909 | − | 0.790154i | \(-0.710001\pi\) | ||||
−0.612909 | + | 0.790154i | \(0.710001\pi\) | |||||||
\(752\) | 7.37243 | − | 4.67868i | 0.268845 | − | 0.170614i | ||||
\(753\) | 8.65151 | − | 9.21292i | 0.315278 | − | 0.335737i | ||||
\(754\) | −2.71023 | + | 5.75954i | −0.0987009 | + | 0.209750i | ||||
\(755\) | −7.99242 | + | 7.20911i | −0.290874 | + | 0.262366i | ||||
\(756\) | 0.456410 | − | 2.39258i | 0.0165995 | − | 0.0870174i | ||||
\(757\) | −12.5202 | + | 17.2326i | −0.455054 | + | 0.626328i | −0.973474 | − | 0.228798i | \(-0.926520\pi\) |
0.518420 | + | 0.855126i | \(0.326520\pi\) | |||||||
\(758\) | −1.42002 | − | 11.2406i | −0.0515776 | − | 0.408279i | ||||
\(759\) | −1.01051 | − | 16.0616i | −0.0366791 | − | 0.582998i | ||||
\(760\) | −3.94151 | − | 2.61375i | −0.142974 | − | 0.0948107i | ||||
\(761\) | −11.1456 | − | 17.5627i | −0.404029 | − | 0.636649i | 0.580008 | − | 0.814611i | \(-0.303049\pi\) |
−0.984037 | + | 0.177962i | \(0.943049\pi\) | |||||||
\(762\) | 5.07578 | + | 12.8200i | 0.183876 | + | 0.464418i | ||||
\(763\) | 18.9614 | − | 1.19295i | 0.686449 | − | 0.0431877i | ||||
\(764\) | 0.0124685 | − | 0.198181i | 0.000451093 | − | 0.00716992i | ||||
\(765\) | 0.377586 | + | 0.542259i | 0.0136516 | + | 0.0196054i | ||||
\(766\) | 11.3224 | + | 13.6864i | 0.409094 | + | 0.494510i | ||||
\(767\) | 6.21877 | − | 2.92633i | 0.224547 | − | 0.105664i | ||||
\(768\) | −0.587785 | − | 0.809017i | −0.0212099 | − | 0.0291929i | ||||
\(769\) | 20.0719 | − | 18.8487i | 0.723810 | − | 0.679703i | −0.232322 | − | 0.972639i | \(-0.574632\pi\) |
0.956132 | + | 0.292936i | \(0.0946322\pi\) | |||||||
\(770\) | 10.7422 | − | 7.48002i | 0.387123 | − | 0.269561i | ||||
\(771\) | 5.50312 | + | 28.8483i | 0.198190 | + | 1.03895i | ||||
\(772\) | −20.6102 | − | 9.69840i | −0.741776 | − | 0.349053i | ||||
\(773\) | 5.00126 | + | 19.4786i | 0.179883 | + | 0.700598i | 0.992961 | + | 0.118443i | \(0.0377903\pi\) |
−0.813078 | + | 0.582155i | \(0.802210\pi\) | |||||||
\(774\) | −4.78780 | − | 3.47854i | −0.172094 | − | 0.125033i | ||||
\(775\) | 8.59915 | + | 11.2878i | 0.308890 | + | 0.405469i | ||||
\(776\) | −10.2831 | + | 7.47111i | −0.369142 | + | 0.268197i | ||||
\(777\) | −15.5422 | − | 12.8576i | −0.557574 | − | 0.461266i | ||||
\(778\) | 1.51198 | + | 2.75027i | 0.0542070 | + | 0.0986021i | ||||
\(779\) | 14.1635 | − | 7.78646i | 0.507461 | − | 0.278979i | ||||
\(780\) | 2.36175 | + | 3.89201i | 0.0845643 | + | 0.139356i | ||||
\(781\) | −3.50847 | − | 7.45587i | −0.125543 | − | 0.266792i | ||||
\(782\) | −1.88188 | − | 0.611461i | −0.0672960 | − | 0.0218658i | ||||
\(783\) | −3.07109 | − | 0.585841i | −0.109752 | − | 0.0209363i | ||||
\(784\) | 0.571855 | − | 0.901100i | 0.0204234 | − | 0.0321821i | ||||
\(785\) | −39.9252 | − | 8.44976i | −1.42499 | − | 0.301585i | ||||
\(786\) | −4.16745 | − | 1.65001i | −0.148648 | − | 0.0588539i | ||||
\(787\) | 27.7810 | − | 22.9824i | 0.990285 | − | 0.819235i | 0.00675434 | − | 0.999977i | \(-0.497850\pi\) |
0.983530 | + | 0.180742i | \(0.0578500\pi\) | |||||||
\(788\) | 5.14352 | − | 20.0327i | 0.183230 | − | 0.713635i | ||||
\(789\) | 11.0716 | − | 13.3833i | 0.394159 | − | 0.476456i | ||||
\(790\) | 19.1698 | + | 1.59280i | 0.682033 | + | 0.0566692i | ||||
\(791\) | 3.64342 | + | 0.935472i | 0.129545 | + | 0.0332616i | ||||
\(792\) | 1.64523 | + | 1.75199i | 0.0584607 | + | 0.0622544i | ||||
\(793\) | −8.01242 | + | 2.60339i | −0.284529 | + | 0.0924492i | ||||
\(794\) | 25.2142 | − | 3.18529i | 0.894818 | − | 0.113042i | ||||
\(795\) | −11.8320 | + | 23.8880i | −0.419638 | + | 0.847220i | ||||
\(796\) | −4.62659 | − | 4.34465i | −0.163985 | − | 0.153992i | ||||
\(797\) | −4.41861 | + | 34.9769i | −0.156515 | + | 1.23894i | 0.696691 | + | 0.717371i | \(0.254655\pi\) |
−0.853206 | + | 0.521574i | \(0.825345\pi\) | |||||||
\(798\) | −5.14152 | − | 0.323477i | −0.182008 | − | 0.0114510i | ||||
\(799\) | 0.797345 | + | 2.45397i | 0.0282080 | + | 0.0868154i | ||||
\(800\) | 4.97352 | + | 0.513915i | 0.175840 | + | 0.0181696i | ||||
\(801\) | 0.472541 | − | 1.45433i | 0.0166964 | − | 0.0513862i | ||||
\(802\) | −7.80328 | + | 19.7088i | −0.275543 | + | 0.695943i | ||||
\(803\) | −15.7984 | + | 3.01370i | −0.557513 | + | 0.106351i | ||||
\(804\) | 3.19387 | + | 0.403480i | 0.112639 | + | 0.0142296i | ||||
\(805\) | −35.1351 | − | 9.77667i | −1.23835 | − | 0.344582i | ||||
\(806\) | 5.06337 | + | 2.78361i | 0.178350 | + | 0.0980486i | ||||
\(807\) | − | 13.9263i | − | 0.490230i | ||||||
\(808\) | −7.52675 | + | 13.6911i | −0.264790 | + | 0.481652i | ||||
\(809\) | 9.61813 | − | 3.80809i | 0.338156 | − | 0.133885i | −0.192909 | − | 0.981217i | \(-0.561792\pi\) |
0.531064 | + | 0.847331i | \(0.321792\pi\) | |||||||
\(810\) | −1.56309 | + | 1.59898i | −0.0549215 | + | 0.0561825i | ||||
\(811\) | −18.1795 | + | 4.66770i | −0.638368 | + | 0.163905i | −0.553983 | − | 0.832528i | \(-0.686893\pi\) |
−0.0843855 | + | 0.996433i | \(0.526893\pi\) | |||||||
\(812\) | 6.42974 | + | 4.08044i | 0.225640 | + | 0.143195i | ||||
\(813\) | −19.7855 | − | 12.5562i | −0.693906 | − | 0.440366i | ||||
\(814\) | 19.2781 | − | 4.94979i | 0.675698 | − | 0.173490i | ||||
\(815\) | −3.76146 | + | 25.6281i | −0.131758 | + | 0.897714i | ||||
\(816\) | 0.274753 | − | 0.108783i | 0.00961829 | − | 0.00380815i | ||||
\(817\) | −6.03009 | + | 10.9687i | −0.210966 | + | 0.383746i | ||||
\(818\) | − | 19.7459i | − | 0.690399i | ||||||
\(819\) | 4.34563 | + | 2.38903i | 0.151849 | + | 0.0834795i | ||||
\(820\) | −9.44360 | + | 14.2409i | −0.329785 | + | 0.497312i | ||||
\(821\) | −28.2229 | − | 3.56538i | −0.984986 | − | 0.124433i | −0.383692 | − | 0.923461i | \(-0.625348\pi\) |
−0.601293 | + | 0.799028i | \(0.705348\pi\) | |||||||
\(822\) | 4.17337 | − | 0.796113i | 0.145563 | − | 0.0277676i | ||||
\(823\) | 14.1073 | − | 35.6309i | 0.491749 | − | 1.24201i | −0.446104 | − | 0.894981i | \(-0.647189\pi\) |
0.937853 | − | 0.347034i | \(-0.112811\pi\) | |||||||
\(824\) | −1.64193 | + | 5.05334i | −0.0571993 | + | 0.176041i | ||||
\(825\) | −12.0138 | + | 0.272747i | −0.418268 | + | 0.00949583i | ||||
\(826\) | −2.54086 | − | 7.81997i | −0.0884079 | − | 0.272092i | ||||
\(827\) | 45.2263 | + | 2.84540i | 1.57267 | + | 0.0989442i | 0.825004 | − | 0.565127i | \(-0.191173\pi\) |
0.747669 | + | 0.664071i | \(0.231173\pi\) | |||||||
\(828\) | 0.839244 | − | 6.64330i | 0.0291657 | − | 0.230871i | ||||
\(829\) | 0.836110 | + | 0.785159i | 0.0290393 | + | 0.0272697i | 0.698931 | − | 0.715189i | \(-0.253659\pi\) |
−0.669892 | + | 0.742459i | \(0.733659\pi\) | |||||||
\(830\) | −30.4408 | − | 4.46782i | −1.05662 | − | 0.155080i | ||||
\(831\) | 15.3542 | − | 1.93969i | 0.532632 | − | 0.0672871i | ||||
\(832\) | 1.93631 | − | 0.629145i | 0.0671294 | − | 0.0218117i | ||||
\(833\) | 0.215889 | + | 0.229898i | 0.00748009 | + | 0.00796549i | ||||
\(834\) | −9.94413 | − | 2.55322i | −0.344337 | − | 0.0884107i | ||||
\(835\) | −27.0698 | − | 23.3246i | −0.936791 | − | 0.807183i | ||||
\(836\) | 3.24021 | − | 3.91674i | 0.112065 | − | 0.135463i | ||||
\(837\) | −0.705787 | + | 2.74886i | −0.0243956 | + | 0.0950145i | ||||
\(838\) | 10.1121 | − | 8.36543i | 0.349316 | − | 0.288979i | ||||
\(839\) | −39.7324 | − | 15.7312i | −1.37172 | − | 0.543101i | −0.437310 | − | 0.899311i | \(-0.644069\pi\) |
−0.934406 | + | 0.356210i | \(0.884069\pi\) | |||||||
\(840\) | 4.97363 | − | 2.21964i | 0.171607 | − | 0.0765847i | ||||
\(841\) | −10.3014 | + | 16.2324i | −0.355220 | + | 0.559737i | ||||
\(842\) | −33.8933 | − | 6.46550i | −1.16804 | − | 0.222816i | ||||
\(843\) | 13.4100 | + | 4.35718i | 0.461866 | + | 0.150069i | ||||
\(844\) | −4.84003 | − | 10.2856i | −0.166601 | − | 0.354044i | ||||
\(845\) | 19.2730 | − | 4.53829i | 0.663012 | − | 0.156122i | ||||
\(846\) | −7.65166 | + | 4.20653i | −0.263069 | + | 0.144624i | ||||
\(847\) | −6.12964 | − | 11.1498i | −0.210617 | − | 0.383111i | ||||
\(848\) | 9.18582 | + | 7.59917i | 0.315442 | + | 0.260957i | ||||
\(849\) | 9.01428 | − | 6.54926i | 0.309369 | − | 0.224770i | ||||
\(850\) | −0.512592 | + | 1.38576i | −0.0175818 | + | 0.0475311i | ||||
\(851\) | −44.8626 | − | 32.5946i | −1.53787 | − | 1.11733i | ||||
\(852\) | −0.852644 | − | 3.32083i | −0.0292111 | − | 0.113770i | ||||
\(853\) | −5.41266 | − | 2.54700i | −0.185326 | − | 0.0872077i | 0.330878 | − | 0.943674i | \(-0.392655\pi\) |
−0.516204 | + | 0.856466i | \(0.672655\pi\) | |||||||
\(854\) | 1.88862 | + | 9.90047i | 0.0646271 | + | 0.338787i | ||||
\(855\) | 3.76961 | + | 2.85608i | 0.128918 | + | 0.0976760i | ||||
\(856\) | −4.40623 | + | 4.13772i | −0.150602 | + | 0.141425i | ||||
\(857\) | −13.8149 | − | 19.0145i | −0.471907 | − | 0.649524i | 0.505017 | − | 0.863109i | \(-0.331486\pi\) |
−0.976925 | + | 0.213585i | \(0.931486\pi\) | |||||||
\(858\) | −4.42749 | + | 2.08342i | −0.151152 | + | 0.0711267i | ||||
\(859\) | 16.2088 | + | 19.5931i | 0.553039 | + | 0.668509i | 0.970756 | − | 0.240068i | \(-0.0771698\pi\) |
−0.417718 | + | 0.908577i | \(0.637170\pi\) | |||||||
\(860\) | 0.265525 | − | 13.2305i | 0.00905433 | − | 0.451156i | ||||
\(861\) | −1.16874 | + | 18.5765i | −0.0398304 | + | 0.633087i | ||||
\(862\) | 30.9757 | − | 1.94883i | 1.05504 | − | 0.0663773i | ||||
\(863\) | 19.7774 | + | 49.9520i | 0.673230 | + | 1.70038i | 0.712989 | + | 0.701175i | \(0.247341\pi\) |
−0.0397594 | + | 0.999209i | \(0.512659\pi\) | |||||||
\(864\) | 0.535827 | + | 0.844328i | 0.0182292 | + | 0.0287246i | ||||
\(865\) | −34.6114 | + | 1.48107i | −1.17682 | + | 0.0503580i | ||||
\(866\) | 0.517081 | + | 8.21877i | 0.0175711 | + | 0.279285i | ||||
\(867\) | −2.11972 | − | 16.7793i | −0.0719895 | − | 0.569855i | ||||
\(868\) | 4.06315 | − | 5.59244i | 0.137912 | − | 0.189820i | ||||
\(869\) | −3.87416 | + | 20.3091i | −0.131422 | + | 0.688937i | ||||
\(870\) | −2.84910 | − | 6.38409i | −0.0965934 | − | 0.216441i | ||||
\(871\) | −2.79067 | + | 5.93047i | −0.0945582 | + | 0.200946i | ||||
\(872\) | −5.33953 | + | 5.68602i | −0.180819 | + | 0.192553i | ||||
\(873\) | 10.7319 | − | 6.81068i | 0.363221 | − | 0.230507i | ||||
\(874\) | −14.1626 | −0.479057 | ||||||||
\(875\) | −8.34702 | + | 25.9215i | −0.282181 | + | 0.876305i | ||||
\(876\) | −6.69192 | −0.226099 | ||||||||
\(877\) | −42.8074 | + | 27.1664i | −1.44550 | + | 0.917344i | −0.445750 | + | 0.895158i | \(0.647063\pi\) |
−0.999754 | + | 0.0221868i | \(0.992937\pi\) | |||||||
\(878\) | −14.9310 | + | 15.8999i | −0.503897 | + | 0.536596i | ||||
\(879\) | 3.86081 | − | 8.20463i | 0.130222 | − | 0.276735i | ||||
\(880\) | −1.11273 | + | 5.25767i | −0.0375102 | + | 0.177236i | ||||
\(881\) | 0.959667 | − | 5.03075i | 0.0323320 | − | 0.169490i | −0.962459 | − | 0.271428i | \(-0.912504\pi\) |
0.994791 | + | 0.101938i | \(0.0325042\pi\) | |||||||
\(882\) | −0.627307 | + | 0.863415i | −0.0211225 | + | 0.0290727i | ||||
\(883\) | −4.53116 | − | 35.8678i | −0.152486 | − | 1.20705i | −0.863675 | − | 0.504049i | \(-0.831843\pi\) |
0.711190 | − | 0.703000i | \(-0.248157\pi\) | |||||||
\(884\) | 0.0377769 | + | 0.600447i | 0.00127058 | + | 0.0201952i | ||||
\(885\) | −2.02354 | + | 7.27212i | −0.0680204 | + | 0.244450i | ||||
\(886\) | −12.1960 | − | 19.2178i | −0.409731 | − | 0.645633i | ||||
\(887\) | −2.58923 | − | 6.53965i | −0.0869378 | − | 0.219580i | 0.879803 | − | 0.475339i | \(-0.157675\pi\) |
−0.966741 | + | 0.255759i | \(0.917675\pi\) | |||||||
\(888\) | 8.26508 | − | 0.519995i | 0.277358 | − | 0.0174499i | ||||
\(889\) | −2.10878 | + | 33.5180i | −0.0707261 | + | 1.12416i | ||||
\(890\) | 3.27253 | − | 0.991169i | 0.109695 | − | 0.0332241i | ||||
\(891\) | −1.53198 | − | 1.85184i | −0.0513231 | − | 0.0620390i | ||||
\(892\) | 0.381936 | − | 0.179725i | 0.0127882 | − | 0.00601765i | ||||
\(893\) | 10.8552 | + | 14.9409i | 0.363256 | + | 0.499979i | ||||
\(894\) | −1.68209 | + | 1.57958i | −0.0562574 | + | 0.0528292i | ||||
\(895\) | 50.3664 | + | 1.01081i | 1.68356 | + | 0.0337878i | ||||
\(896\) | −0.456410 | − | 2.39258i | −0.0152476 | − | 0.0799306i | ||||
\(897\) | 12.3355 | + | 5.80463i | 0.411870 | + | 0.193811i | ||||
\(898\) | 8.66795 | + | 33.7594i | 0.289253 | + | 1.12657i | ||||
\(899\) | −7.17839 | − | 5.21541i | −0.239413 | − | 0.173944i | ||||
\(900\) | −4.93144 | − | 0.825191i | −0.164381 | − | 0.0275064i | ||||
\(901\) | −2.85010 | + | 2.07072i | −0.0949505 | + | 0.0689856i | ||||
\(902\) | −14.1513 | − | 11.7070i | −0.471188 | − | 0.389801i | ||||
\(903\) | −6.94435 | − | 12.6317i | −0.231093 | − | 0.420357i | ||||
\(904\) | −1.35332 | + | 0.743994i | −0.0450107 | + | 0.0247449i | ||||
\(905\) | −16.8395 | − | 7.06129i | −0.559764 | − | 0.234725i | ||||
\(906\) | −2.04950 | − | 4.35541i | −0.0680900 | − | 0.144699i | ||||
\(907\) | 13.6541 | + | 4.43650i | 0.453378 | + | 0.147311i | 0.526800 | − | 0.849990i | \(-0.323392\pi\) |
−0.0734216 | + | 0.997301i | \(0.523392\pi\) | |||||||
\(908\) | −21.5033 | − | 4.10198i | −0.713613 | − | 0.136129i | ||||
\(909\) | 8.37157 | − | 13.1915i | 0.277668 | − | 0.437534i | ||||
\(910\) | 1.16876 | + | 11.0270i | 0.0387441 | + | 0.365540i | ||||
\(911\) | 24.4462 | + | 9.67892i | 0.809938 | + | 0.320677i | 0.736341 | − | 0.676611i | \(-0.236552\pi\) |
0.0735970 | + | 0.997288i | \(0.476552\pi\) | |||||||
\(912\) | 1.62967 | − | 1.34818i | 0.0539639 | − | 0.0446428i | ||||
\(913\) | 8.22396 | − | 32.0302i | 0.272173 | − | 1.06004i | ||||
\(914\) | −13.5389 | + | 16.3657i | −0.447827 | + | 0.541330i | ||||
\(915\) | 3.57812 | − | 8.53297i | 0.118289 | − | 0.282091i | ||||
\(916\) | 13.3262 | + | 3.42160i | 0.440311 | + | 0.113053i | ||||
\(917\) | −7.47349 | − | 7.95846i | −0.246797 | − | 0.262812i | ||||
\(918\) | −0.281042 | + | 0.0913160i | −0.00927576 | + | 0.00301388i | ||||
\(919\) | −49.8587 | + | 6.29862i | −1.64469 | + | 0.207772i | −0.892459 | − | 0.451129i | \(-0.851021\pi\) |
−0.752229 | + | 0.658901i | \(0.771021\pi\) | |||||||
\(920\) | 13.2630 | − | 6.94854i | 0.437267 | − | 0.229087i | ||||
\(921\) | −7.52356 | − | 7.06509i | −0.247910 | − | 0.232803i | ||||
\(922\) | −4.86958 | + | 38.5467i | −0.160371 | + | 1.26947i | ||||
\(923\) | 6.96659 | + | 0.438300i | 0.229308 | + | 0.0144268i | ||||
\(924\) | 1.80898 | + | 5.56747i | 0.0595111 | + | 0.183156i | ||||
\(925\) | −25.6629 | + | 32.4956i | −0.843792 | + | 1.06845i | ||||
\(926\) | −7.69299 | + | 23.6766i | −0.252807 | + | 0.778061i | ||||
\(927\) | 1.95599 | − | 4.94027i | 0.0642432 | − | 0.162260i | ||||
\(928\) | −3.07109 | + | 0.585841i | −0.100813 | + | 0.0192312i | ||||
\(929\) | 31.1765 | + | 3.93850i | 1.02287 | + | 0.129218i | 0.618830 | − | 0.785525i | \(-0.287607\pi\) |
0.404036 | + | 0.914743i | \(0.367607\pi\) | |||||||
\(930\) | −5.94606 | + | 2.21726i | −0.194979 | + | 0.0727068i | ||||
\(931\) | 1.97806 | + | 1.08745i | 0.0648282 | + | 0.0356396i | ||||
\(932\) | 7.62901i | 0.249897i | ||||||||
\(933\) | 3.55860 | − | 6.47306i | 0.116503 | − | 0.211919i | ||||
\(934\) | −29.9304 | + | 11.8503i | −0.979353 | + | 0.387753i | ||||
\(935\) | −1.42308 | − | 0.704869i | −0.0465398 | − | 0.0230517i | ||||
\(936\) | −1.97199 | + | 0.506322i | −0.0644566 | + | 0.0165496i | ||||
\(937\) | 2.39397 | + | 1.51926i | 0.0782076 | + | 0.0496321i | 0.574356 | − | 0.818606i | \(-0.305253\pi\) |
−0.496148 | + | 0.868238i | \(0.665253\pi\) | |||||||
\(938\) | 6.62056 | + | 4.20154i | 0.216169 | + | 0.137185i | ||||
\(939\) | −9.80554 | + | 2.51763i | −0.319992 | + | 0.0821599i | ||||
\(940\) | −17.4961 | − | 8.66602i | −0.570660 | − | 0.282654i | ||||
\(941\) | 2.78751 | − | 1.10365i | 0.0908701 | − | 0.0359780i | −0.322250 | − | 0.946655i | \(-0.604439\pi\) |
0.413120 | + | 0.910677i | \(0.364439\pi\) | |||||||
\(942\) | 8.79229 | − | 15.9931i | 0.286468 | − | 0.521084i | ||||
\(943\) | 51.1701i | 1.66633i | ||||||||
\(944\) | 2.95819 | + | 1.62628i | 0.0962810 | + | 0.0529309i | ||||
\(945\) | −5.10319 | + | 1.90296i | −0.166007 | + | 0.0619032i | ||||
\(946\) | 14.1112 | + | 1.78266i | 0.458794 | + | 0.0579592i | ||||
\(947\) | −3.35352 | + | 0.639719i | −0.108975 | + | 0.0207881i | −0.241580 | − | 0.970381i | \(-0.577666\pi\) |
0.132605 | + | 0.991169i | \(0.457666\pi\) | |||||||
\(948\) | −3.16681 | + | 7.99846i | −0.102853 | + | 0.259778i | ||||
\(949\) | 4.21019 | − | 12.9576i | 0.136669 | − | 0.420622i | ||||
\(950\) | −0.424303 | + | 10.5667i | −0.0137662 | + | 0.342830i | ||||
\(951\) | −7.57678 | − | 23.3189i | −0.245694 | − | 0.756168i | ||||
\(952\) | 0.718348 | + | 0.0451946i | 0.0232818 | + | 0.00146477i | ||||
\(953\) | −2.01834 | + | 15.9768i | −0.0653803 | + | 0.517539i | 0.925083 | + | 0.379764i | \(0.123995\pi\) |
−0.990464 | + | 0.137774i | \(0.956005\pi\) | |||||||
\(954\) | −8.69054 | − | 8.16096i | −0.281367 | − | 0.264221i | ||||
\(955\) | −0.393313 | + | 0.206059i | −0.0127273 | + | 0.00666790i | ||||
\(956\) | −12.8838 | + | 1.62761i | −0.416693 | + | 0.0526406i | ||||
\(957\) | 7.14634 | − | 2.32199i | 0.231008 | − | 0.0750592i | ||||
\(958\) | 1.47582 | + | 1.57159i | 0.0476817 | + | 0.0507759i | ||||
\(959\) | 10.0234 | + | 2.57356i | 0.323672 | + | 0.0831047i | ||||
\(960\) | −0.864702 | + | 2.06211i | −0.0279081 | + | 0.0665543i | ||||
\(961\) | 14.6261 | − | 17.6799i | 0.471810 | − | 0.570320i | ||||
\(962\) | −4.19306 | + | 16.3309i | −0.135190 | + | 0.526529i | ||||
\(963\) | 4.65734 | − | 3.85289i | 0.150081 | − | 0.124158i | ||||
\(964\) | 12.5745 | + | 4.97861i | 0.404999 | + | 0.160350i | ||||
\(965\) | 5.36841 | + | 50.6495i | 0.172815 | + | 1.63046i | ||||
\(966\) | 8.73926 | − | 13.7709i | 0.281181 | − | 0.443071i | ||||
\(967\) | 44.9346 | + | 8.57174i | 1.44500 | + | 0.275648i | 0.849450 | − | 0.527670i | \(-0.176934\pi\) |
0.595550 | + | 0.803318i | \(0.296934\pi\) | |||||||
\(968\) | 4.96807 | + | 1.61422i | 0.159680 | + | 0.0518831i | ||||
\(969\) | 0.266115 | + | 0.565524i | 0.00854885 | + | 0.0181672i | ||||
\(970\) | 26.2107 | + | 10.9909i | 0.841573 | + | 0.352896i | ||||
\(971\) | −22.1245 | + | 12.1631i | −0.710011 | + | 0.390332i | −0.795456 | − | 0.606011i | \(-0.792769\pi\) |
0.0854456 | + | 0.996343i | \(0.472769\pi\) | |||||||
\(972\) | −0.481754 | − | 0.876307i | −0.0154523 | − | 0.0281075i | ||||
\(973\) | −19.2681 | − | 15.9399i | −0.617706 | − | 0.511011i | ||||
\(974\) | 32.5288 | − | 23.6336i | 1.04229 | − | 0.757268i | ||||
\(975\) | 4.70041 | − | 9.02962i | 0.150534 | − | 0.289179i | ||||
\(976\) | −3.34770 | − | 2.43225i | −0.107157 | − | 0.0778543i | ||||
\(977\) | 11.9985 | + | 46.7310i | 0.383865 | + | 1.49506i | 0.807851 | + | 0.589387i | \(0.200631\pi\) |
−0.423985 | + | 0.905669i | \(0.639369\pi\) | |||||||
\(978\) | −10.4815 | − | 4.93224i | −0.335163 | − | 0.157716i | ||||
\(979\) | 0.688663 | + | 3.61010i | 0.0220098 | + | 0.115379i | ||||
\(980\) | −2.38594 | − | 0.0478839i | −0.0762160 | − | 0.00152959i | ||||
\(981\) | 5.68602 | − | 5.33953i | 0.181541 | − | 0.170478i | ||||
\(982\) | −6.53955 | − | 9.00092i | −0.208685 | − | 0.287231i | ||||
\(983\) | 1.23159 | − | 0.579543i | 0.0392817 | − | 0.0184845i | −0.406038 | − | 0.913856i | \(-0.633090\pi\) |
0.445320 | + | 0.895372i | \(0.353090\pi\) | |||||||
\(984\) | −4.87105 | − | 5.88809i | −0.155283 | − | 0.187705i | ||||
\(985\) | −44.2618 | + | 13.4058i | −1.41030 | + | 0.427144i | ||||
\(986\) | 0.0580113 | − | 0.922063i | 0.00184745 | − | 0.0293645i | ||||
\(987\) | −21.2261 | + | 1.33543i | −0.675634 | + | 0.0425073i | ||||
\(988\) | 1.58520 | + | 4.00376i | 0.0504319 | + | 0.127376i | ||||
\(989\) | −21.2336 | − | 33.4589i | −0.675191 | − | 1.06393i | ||||
\(990\) | 1.44067 | − | 5.17743i | 0.0457875 | − | 0.164550i | ||||
\(991\) | 2.96637 | + | 47.1491i | 0.0942299 | + | 1.49774i | 0.706849 | + | 0.707364i | \(0.250116\pi\) |
−0.612619 | + | 0.790378i | \(0.709884\pi\) | |||||||
\(992\) | 0.355698 | + | 2.81564i | 0.0112934 | + | 0.0893967i | ||||
\(993\) | 12.4433 | − | 17.1267i | 0.394876 | − | 0.543500i | ||||
\(994\) | 1.56482 | − | 8.20307i | 0.0496331 | − | 0.260186i | ||||
\(995\) | −2.93846 | + | 13.8842i | −0.0931553 | + | 0.440160i | ||||
\(996\) | 5.85846 | − | 12.4499i | 0.185633 | − | 0.394489i | ||||
\(997\) | −26.8491 | + | 28.5914i | −0.850319 | + | 0.905498i | −0.996486 | − | 0.0837617i | \(-0.973307\pi\) |
0.146166 | + | 0.989260i | \(0.453307\pi\) | |||||||
\(998\) | −18.9088 | + | 11.9999i | −0.598549 | + | 0.379851i | ||||
\(999\) | −8.28142 | −0.262012 |
(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 | 750.2.o.a.79.1 | yes | 240 | |
125.19 | even | 50 | inner | 750.2.o.a.19.1 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
750.2.o.a.19.1 | ✓ | 240 | 125.19 | even | 50 | inner | |
750.2.o.a.79.1 | yes | 240 | 1.1 | even | 1 | trivial |