Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
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("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 141.1 | ||
Root | \(-0.415415 - 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.141 |
Dual form | 322.2.i.b.169.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | −0.570276 | + | 1.24873i | −0.329249 | + | 0.720954i | −0.999781 | − | 0.0209260i | \(-0.993339\pi\) |
0.670532 | + | 0.741880i | \(0.266066\pi\) | |||||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −1.59792 | + | 1.84410i | −0.714612 | + | 0.824707i | −0.990648 | − | 0.136441i | \(-0.956434\pi\) |
0.276036 | + | 0.961147i | \(0.410979\pi\) | |||||||
\(6\) | −1.31718 | − | 0.386758i | −0.537736 | − | 0.157893i | ||||
\(7\) | −0.841254 | + | 0.540641i | −0.317964 | + | 0.204343i | ||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | 0.730471 | + | 0.843008i | 0.243490 | + | 0.281003i | ||||
\(10\) | −2.05274 | − | 1.31921i | −0.649133 | − | 0.417172i | ||||
\(11\) | 0.245454 | − | 1.70717i | 0.0740071 | − | 0.514731i | −0.918773 | − | 0.394785i | \(-0.870819\pi\) |
0.992780 | − | 0.119945i | \(-0.0382720\pi\) | |||||||
\(12\) | 0.195368 | − | 1.35881i | 0.0563978 | − | 0.392255i | ||||
\(13\) | −2.01722 | − | 1.29639i | −0.559477 | − | 0.359554i | 0.230137 | − | 0.973158i | \(-0.426083\pi\) |
−0.789614 | + | 0.613604i | \(0.789719\pi\) | |||||||
\(14\) | −0.654861 | − | 0.755750i | −0.175019 | − | 0.201983i | ||||
\(15\) | −1.39153 | − | 3.04702i | −0.359291 | − | 0.786737i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −4.48538 | − | 1.31703i | −1.08786 | − | 0.319426i | −0.311843 | − | 0.950134i | \(-0.600946\pi\) |
−0.776020 | + | 0.630708i | \(0.782765\pi\) | |||||||
\(18\) | −0.730471 | + | 0.843008i | −0.172174 | + | 0.198699i | ||||
\(19\) | 1.11435 | − | 0.327204i | 0.255650 | − | 0.0750657i | −0.151396 | − | 0.988473i | \(-0.548377\pi\) |
0.407046 | + | 0.913407i | \(0.366559\pi\) | |||||||
\(20\) | 1.01365 | − | 2.21959i | 0.226659 | − | 0.496315i | ||||
\(21\) | −0.195368 | − | 1.35881i | −0.0426327 | − | 0.296517i | ||||
\(22\) | 1.72472 | 0.367712 | ||||||||
\(23\) | −3.46135 | + | 3.31949i | −0.721742 | + | 0.692162i | ||||
\(24\) | 1.37279 | 0.280219 | ||||||||
\(25\) | −0.135777 | − | 0.944350i | −0.0271554 | − | 0.188870i | ||||
\(26\) | 0.996114 | − | 2.18119i | 0.195354 | − | 0.427766i | ||||
\(27\) | −5.42079 | + | 1.59169i | −1.04323 | + | 0.306321i | ||||
\(28\) | 0.654861 | − | 0.755750i | 0.123757 | − | 0.142823i | ||||
\(29\) | 5.04311 | + | 1.48079i | 0.936481 | + | 0.274976i | 0.714148 | − | 0.699995i | \(-0.246814\pi\) |
0.222333 | + | 0.974971i | \(0.428633\pi\) | |||||||
\(30\) | 2.81797 | − | 1.81100i | 0.514488 | − | 0.330642i | ||||
\(31\) | 0.249869 | + | 0.547137i | 0.0448778 | + | 0.0982688i | 0.930743 | − | 0.365674i | \(-0.119162\pi\) |
−0.885865 | + | 0.463943i | \(0.846434\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | 1.99182 | + | 1.28006i | 0.346731 | + | 0.222830i | ||||
\(34\) | 0.665284 | − | 4.62715i | 0.114095 | − | 0.793550i | ||||
\(35\) | 0.347262 | − | 2.41526i | 0.0586979 | − | 0.408253i | ||||
\(36\) | −0.938384 | − | 0.603063i | −0.156397 | − | 0.100511i | ||||
\(37\) | 5.27613 | + | 6.08898i | 0.867391 | + | 1.00102i | 0.999952 | + | 0.00984727i | \(0.00313453\pi\) |
−0.132561 | + | 0.991175i | \(0.542320\pi\) | |||||||
\(38\) | 0.482462 | + | 1.05645i | 0.0782657 | + | 0.171378i | ||||
\(39\) | 2.76921 | − | 1.77967i | 0.443429 | − | 0.284975i | ||||
\(40\) | 2.34125 | + | 0.687454i | 0.370185 | + | 0.108696i | ||||
\(41\) | −8.18535 | + | 9.44640i | −1.27834 | + | 1.47528i | −0.474715 | + | 0.880140i | \(0.657449\pi\) |
−0.803622 | + | 0.595140i | \(0.797097\pi\) | |||||||
\(42\) | 1.31718 | − | 0.386758i | 0.203245 | − | 0.0596781i | ||||
\(43\) | 2.29652 | − | 5.02867i | 0.350216 | − | 0.766866i | −0.649762 | − | 0.760138i | \(-0.725131\pi\) |
0.999977 | − | 0.00672748i | \(-0.00214144\pi\) | |||||||
\(44\) | 0.245454 | + | 1.70717i | 0.0370036 | + | 0.257365i | ||||
\(45\) | −2.72183 | −0.405746 | ||||||||
\(46\) | −3.77831 | − | 2.95371i | −0.557081 | − | 0.435501i | ||||
\(47\) | 6.22277 | 0.907685 | 0.453842 | − | 0.891082i | \(-0.350053\pi\) | ||||
0.453842 | + | 0.891082i | \(0.350053\pi\) | |||||||
\(48\) | 0.195368 | + | 1.35881i | 0.0281989 | + | 0.196128i | ||||
\(49\) | 0.415415 | − | 0.909632i | 0.0593450 | − | 0.129947i | ||||
\(50\) | 0.915415 | − | 0.268790i | 0.129459 | − | 0.0380127i | ||||
\(51\) | 4.20251 | − | 4.84995i | 0.588469 | − | 0.679129i | ||||
\(52\) | 2.30075 | + | 0.675560i | 0.319056 | + | 0.0936833i | ||||
\(53\) | −8.29712 | + | 5.33224i | −1.13970 | + | 0.732439i | −0.967562 | − | 0.252634i | \(-0.918703\pi\) |
−0.172136 | + | 0.985073i | \(0.555067\pi\) | |||||||
\(54\) | −2.34695 | − | 5.13910i | −0.319379 | − | 0.699342i | ||||
\(55\) | 2.75597 | + | 3.18056i | 0.371616 | + | 0.428867i | ||||
\(56\) | 0.841254 | + | 0.540641i | 0.112417 | + | 0.0722462i | ||||
\(57\) | −0.226900 | + | 1.57812i | −0.0300536 | + | 0.209027i | ||||
\(58\) | −0.748008 | + | 5.20251i | −0.0982183 | + | 0.683123i | ||||
\(59\) | 3.45491 | + | 2.22034i | 0.449791 | + | 0.289063i | 0.745859 | − | 0.666103i | \(-0.232039\pi\) |
−0.296068 | + | 0.955167i | \(0.595675\pi\) | |||||||
\(60\) | 2.19360 | + | 2.53155i | 0.283193 | + | 0.326822i | ||||
\(61\) | 3.76039 | + | 8.23412i | 0.481469 | + | 1.05427i | 0.982057 | + | 0.188585i | \(0.0603900\pi\) |
−0.500588 | + | 0.865686i | \(0.666883\pi\) | |||||||
\(62\) | −0.506008 | + | 0.325192i | −0.0642631 | + | 0.0412994i | ||||
\(63\) | −1.07028 | − | 0.314261i | −0.134842 | − | 0.0395932i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 5.61404 | − | 1.64843i | 0.696336 | − | 0.204463i | ||||
\(66\) | −0.983568 | + | 2.15371i | −0.121069 | + | 0.265104i | ||||
\(67\) | −2.04487 | − | 14.2224i | −0.249821 | − | 1.73754i | −0.599236 | − | 0.800572i | \(-0.704529\pi\) |
0.349416 | − | 0.936968i | \(-0.386380\pi\) | |||||||
\(68\) | 4.67474 | 0.566895 | ||||||||
\(69\) | −2.17122 | − | 6.21532i | −0.261384 | − | 0.748237i | ||||
\(70\) | 2.44009 | 0.291647 | ||||||||
\(71\) | 1.32879 | + | 9.24194i | 0.157698 | + | 1.09682i | 0.902861 | + | 0.429933i | \(0.141463\pi\) |
−0.745162 | + | 0.666883i | \(0.767628\pi\) | |||||||
\(72\) | 0.463379 | − | 1.01466i | 0.0546097 | − | 0.119579i | ||||
\(73\) | −3.05612 | + | 0.897358i | −0.357692 | + | 0.105028i | −0.455641 | − | 0.890164i | \(-0.650590\pi\) |
0.0979491 | + | 0.995191i | \(0.468772\pi\) | |||||||
\(74\) | −5.27613 | + | 6.08898i | −0.613338 | + | 0.707830i | ||||
\(75\) | 1.25667 | + | 0.368991i | 0.145108 | + | 0.0426074i | ||||
\(76\) | −0.977031 | + | 0.627899i | −0.112073 | + | 0.0720250i | ||||
\(77\) | 0.716476 | + | 1.56886i | 0.0816501 | + | 0.178789i | ||||
\(78\) | 2.15565 | + | 2.48775i | 0.244080 | + | 0.281683i | ||||
\(79\) | 6.14561 | + | 3.94954i | 0.691435 | + | 0.444358i | 0.838596 | − | 0.544754i | \(-0.183377\pi\) |
−0.147161 | + | 0.989113i | \(0.547013\pi\) | |||||||
\(80\) | −0.347262 | + | 2.41526i | −0.0388250 | + | 0.270034i | ||||
\(81\) | 0.627519 | − | 4.36449i | 0.0697243 | − | 0.484943i | ||||
\(82\) | −10.5151 | − | 6.75767i | −1.16120 | − | 0.746260i | ||||
\(83\) | 2.66583 | + | 3.07653i | 0.292613 | + | 0.337693i | 0.882953 | − | 0.469461i | \(-0.155552\pi\) |
−0.590340 | + | 0.807155i | \(0.701006\pi\) | |||||||
\(84\) | 0.570276 | + | 1.24873i | 0.0622222 | + | 0.136248i | ||||
\(85\) | 9.59601 | − | 6.16698i | 1.04083 | − | 0.668903i | ||||
\(86\) | 5.30432 | + | 1.55749i | 0.571979 | + | 0.167948i | ||||
\(87\) | −4.72507 | + | 5.45302i | −0.506580 | + | 0.584625i | ||||
\(88\) | −1.65486 | + | 0.485911i | −0.176409 | + | 0.0517983i | ||||
\(89\) | −2.00538 | + | 4.39117i | −0.212570 | + | 0.465463i | −0.985641 | − | 0.168857i | \(-0.945992\pi\) |
0.773071 | + | 0.634320i | \(0.218720\pi\) | |||||||
\(90\) | −0.387356 | − | 2.69412i | −0.0408309 | − | 0.283985i | ||||
\(91\) | 2.39788 | 0.251366 | ||||||||
\(92\) | 2.38594 | − | 4.16021i | 0.248751 | − | 0.433731i | ||||
\(93\) | −0.825721 | −0.0856233 | ||||||||
\(94\) | 0.885593 | + | 6.15943i | 0.0913419 | + | 0.635297i | ||||
\(95\) | −1.17725 | + | 2.57783i | −0.120784 | + | 0.264479i | ||||
\(96\) | −1.31718 | + | 0.386758i | −0.134434 | + | 0.0394734i | ||||
\(97\) | −0.816541 | + | 0.942338i | −0.0829071 | + | 0.0956799i | −0.795687 | − | 0.605707i | \(-0.792890\pi\) |
0.712780 | + | 0.701387i | \(0.247436\pi\) | |||||||
\(98\) | 0.959493 | + | 0.281733i | 0.0969234 | + | 0.0284593i | ||||
\(99\) | 1.61845 | − | 1.04012i | 0.162661 | − | 0.104536i | ||||
\(100\) | 0.396331 | + | 0.867845i | 0.0396331 | + | 0.0867845i | ||||
\(101\) | 4.57240 | + | 5.27683i | 0.454971 | + | 0.525064i | 0.936170 | − | 0.351547i | \(-0.114344\pi\) |
−0.481200 | + | 0.876611i | \(0.659799\pi\) | |||||||
\(102\) | 5.39867 | + | 3.46951i | 0.534548 | + | 0.343533i | ||||
\(103\) | 0.460386 | − | 3.20206i | 0.0453632 | − | 0.315508i | −0.954488 | − | 0.298250i | \(-0.903597\pi\) |
0.999851 | − | 0.0172583i | \(-0.00549376\pi\) | |||||||
\(104\) | −0.341254 | + | 2.37347i | −0.0334627 | + | 0.232738i | ||||
\(105\) | 2.81797 | + | 1.81100i | 0.275006 | + | 0.176735i | ||||
\(106\) | −6.45877 | − | 7.45381i | −0.627331 | − | 0.723978i | ||||
\(107\) | −5.34578 | − | 11.7056i | −0.516796 | − | 1.13162i | −0.970639 | − | 0.240543i | \(-0.922675\pi\) |
0.453843 | − | 0.891082i | \(-0.350053\pi\) | |||||||
\(108\) | 4.75278 | − | 3.05443i | 0.457337 | − | 0.293912i | ||||
\(109\) | 1.40057 | + | 0.411246i | 0.134151 | + | 0.0393902i | 0.348119 | − | 0.937450i | \(-0.386821\pi\) |
−0.213968 | + | 0.976841i | \(0.568639\pi\) | |||||||
\(110\) | −2.75597 | + | 3.18056i | −0.262772 | + | 0.303255i | ||||
\(111\) | −10.6123 | + | 3.11606i | −1.00728 | + | 0.295764i | ||||
\(112\) | −0.415415 | + | 0.909632i | −0.0392530 | + | 0.0859521i | ||||
\(113\) | 1.35508 | + | 9.42477i | 0.127475 | + | 0.886608i | 0.948739 | + | 0.316060i | \(0.102360\pi\) |
−0.821264 | + | 0.570548i | \(0.806731\pi\) | |||||||
\(114\) | −1.59435 | −0.149325 | ||||||||
\(115\) | −0.590504 | − | 11.6874i | −0.0550647 | − | 1.08985i | ||||
\(116\) | −5.25601 | −0.488008 | ||||||||
\(117\) | −0.380655 | − | 2.64751i | −0.0351915 | − | 0.244762i | ||||
\(118\) | −1.70605 | + | 3.73573i | −0.157055 | + | 0.343902i | ||||
\(119\) | 4.48538 | − | 1.31703i | 0.411174 | − | 0.120732i | ||||
\(120\) | −2.19360 | + | 2.53155i | −0.200248 | + | 0.231098i | ||||
\(121\) | 7.70024 | + | 2.26100i | 0.700022 | + | 0.205545i | ||||
\(122\) | −7.61514 | + | 4.89396i | −0.689443 | + | 0.443078i | ||||
\(123\) | −7.12809 | − | 15.6083i | −0.642718 | − | 1.40736i | ||||
\(124\) | −0.393894 | − | 0.454578i | −0.0353727 | − | 0.0408223i | ||||
\(125\) | −8.30525 | − | 5.33746i | −0.742844 | − | 0.477397i | ||||
\(126\) | 0.158746 | − | 1.10411i | 0.0141423 | − | 0.0983616i | ||||
\(127\) | 0.974945 | − | 6.78089i | 0.0865123 | − | 0.601707i | −0.899736 | − | 0.436435i | \(-0.856241\pi\) |
0.986248 | − | 0.165271i | \(-0.0528500\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | 4.96981 | + | 5.73546i | 0.437567 | + | 0.504979i | ||||
\(130\) | 2.43061 | + | 5.32230i | 0.213179 | + | 0.466797i | ||||
\(131\) | 13.3471 | − | 8.57763i | 1.16614 | − | 0.749431i | 0.193350 | − | 0.981130i | \(-0.438065\pi\) |
0.972788 | + | 0.231699i | \(0.0744283\pi\) | |||||||
\(132\) | −2.27177 | − | 0.667052i | −0.197732 | − | 0.0580594i | ||||
\(133\) | −0.760554 | + | 0.877726i | −0.0659484 | + | 0.0761085i | ||||
\(134\) | 13.7866 | − | 4.04811i | 1.19098 | − | 0.349703i | ||||
\(135\) | 5.72677 | − | 12.5399i | 0.492882 | − | 1.07926i | ||||
\(136\) | 0.665284 | + | 4.62715i | 0.0570477 | + | 0.396775i | ||||
\(137\) | −8.44398 | −0.721418 | −0.360709 | − | 0.932678i | \(-0.617465\pi\) | ||||
−0.360709 | + | 0.932678i | \(0.617465\pi\) | |||||||
\(138\) | 5.84306 | − | 3.03366i | 0.497394 | − | 0.258242i | ||||
\(139\) | −9.20419 | −0.780690 | −0.390345 | − | 0.920669i | \(-0.627644\pi\) | ||||
−0.390345 | + | 0.920669i | \(0.627644\pi\) | |||||||
\(140\) | 0.347262 | + | 2.41526i | 0.0293490 | + | 0.204127i | ||||
\(141\) | −3.54870 | + | 7.77056i | −0.298854 | + | 0.654399i | ||||
\(142\) | −8.95876 | + | 2.63053i | −0.751803 | + | 0.220749i | ||||
\(143\) | −2.70829 | + | 3.12554i | −0.226479 | + | 0.261370i | ||||
\(144\) | 1.07028 | + | 0.314261i | 0.0891896 | + | 0.0261884i | ||||
\(145\) | −10.7892 | + | 6.93381i | −0.895996 | + | 0.575821i | ||||
\(146\) | −1.32316 | − | 2.89731i | −0.109505 | − | 0.239783i | ||||
\(147\) | 0.898983 | + | 1.03748i | 0.0741469 | + | 0.0855701i | ||||
\(148\) | −6.77787 | − | 4.35588i | −0.557138 | − | 0.358051i | ||||
\(149\) | 2.44152 | − | 16.9811i | 0.200017 | − | 1.39115i | −0.604210 | − | 0.796825i | \(-0.706511\pi\) |
0.804227 | − | 0.594322i | \(-0.202580\pi\) | |||||||
\(150\) | −0.186393 | + | 1.29639i | −0.0152189 | + | 0.105850i | ||||
\(151\) | 4.62658 | + | 2.97333i | 0.376506 | + | 0.241966i | 0.715183 | − | 0.698937i | \(-0.246343\pi\) |
−0.338677 | + | 0.940903i | \(0.609979\pi\) | |||||||
\(152\) | −0.760554 | − | 0.877726i | −0.0616891 | − | 0.0711930i | ||||
\(153\) | −2.16617 | − | 4.74326i | −0.175125 | − | 0.383470i | ||||
\(154\) | −1.45093 | + | 0.932456i | −0.116919 | + | 0.0751395i | ||||
\(155\) | −1.40825 | − | 0.413499i | −0.113113 | − | 0.0332130i | ||||
\(156\) | −2.15565 | + | 2.48775i | −0.172590 | + | 0.199180i | ||||
\(157\) | 9.78933 | − | 2.87441i | 0.781274 | − | 0.229403i | 0.133311 | − | 0.991074i | \(-0.457439\pi\) |
0.647963 | + | 0.761672i | \(0.275621\pi\) | |||||||
\(158\) | −3.03473 | + | 6.64513i | −0.241430 | + | 0.528658i | ||||
\(159\) | −1.92687 | − | 13.4017i | −0.152811 | − | 1.06282i | ||||
\(160\) | −2.44009 | −0.192906 | ||||||||
\(161\) | 1.11722 | − | 4.66388i | 0.0880495 | − | 0.367566i | ||||
\(162\) | 4.40937 | 0.346433 | ||||||||
\(163\) | −0.581903 | − | 4.04722i | −0.0455781 | − | 0.317003i | −0.999838 | − | 0.0180231i | \(-0.994263\pi\) |
0.954259 | − | 0.298980i | \(-0.0966463\pi\) | |||||||
\(164\) | 5.19243 | − | 11.3698i | 0.405461 | − | 0.887835i | ||||
\(165\) | −5.54333 | + | 1.62767i | −0.431548 | + | 0.126714i | ||||
\(166\) | −2.66583 | + | 3.07653i | −0.206909 | + | 0.238785i | ||||
\(167\) | −0.222325 | − | 0.0652805i | −0.0172040 | − | 0.00505156i | 0.273119 | − | 0.961980i | \(-0.411945\pi\) |
−0.290323 | + | 0.956929i | \(0.593763\pi\) | |||||||
\(168\) | −1.15486 | + | 0.742184i | −0.0890994 | + | 0.0572607i | ||||
\(169\) | −3.01184 | − | 6.59500i | −0.231680 | − | 0.507308i | ||||
\(170\) | 7.46986 | + | 8.62068i | 0.572912 | + | 0.661176i | ||||
\(171\) | 1.08984 | + | 0.700397i | 0.0833420 | + | 0.0535607i | ||||
\(172\) | −0.786752 | + | 5.47198i | −0.0599893 | + | 0.417235i | ||||
\(173\) | −2.98685 | + | 20.7740i | −0.227086 | + | 1.57942i | 0.483203 | + | 0.875508i | \(0.339473\pi\) |
−0.710289 | + | 0.703910i | \(0.751436\pi\) | |||||||
\(174\) | −6.06996 | − | 3.90093i | −0.460163 | − | 0.295729i | ||||
\(175\) | 0.624777 | + | 0.721031i | 0.0472287 | + | 0.0545048i | ||||
\(176\) | −0.716476 | − | 1.56886i | −0.0540064 | − | 0.118258i | ||||
\(177\) | −4.74286 | + | 3.04805i | −0.356495 | + | 0.229105i | ||||
\(178\) | −4.63187 | − | 1.36004i | −0.347173 | − | 0.101939i | ||||
\(179\) | 4.18240 | − | 4.82674i | 0.312607 | − | 0.360768i | −0.577603 | − | 0.816318i | \(-0.696012\pi\) |
0.890210 | + | 0.455550i | \(0.150557\pi\) | |||||||
\(180\) | 2.61157 | − | 0.766827i | 0.194655 | − | 0.0571559i | ||||
\(181\) | 5.70666 | − | 12.4958i | 0.424173 | − | 0.928809i | −0.570064 | − | 0.821601i | \(-0.693081\pi\) |
0.994237 | − | 0.107209i | \(-0.0341913\pi\) | |||||||
\(182\) | 0.341254 | + | 2.37347i | 0.0252954 | + | 0.175933i | ||||
\(183\) | −12.4266 | −0.918604 | ||||||||
\(184\) | 4.45741 | + | 1.76959i | 0.328605 | + | 0.130456i | ||||
\(185\) | −19.6595 | −1.44540 | ||||||||
\(186\) | −0.117512 | − | 0.817316i | −0.00861642 | − | 0.0599285i | ||||
\(187\) | −3.34934 | + | 7.33403i | −0.244928 | + | 0.536317i | ||||
\(188\) | −5.97071 | + | 1.75316i | −0.435459 | + | 0.127862i | ||||
\(189\) | 3.69973 | − | 4.26972i | 0.269116 | − | 0.310576i | ||||
\(190\) | −2.71913 | − | 0.798408i | −0.197266 | − | 0.0579226i | ||||
\(191\) | −13.1683 | + | 8.46274i | −0.952824 | + | 0.612343i | −0.922003 | − | 0.387182i | \(-0.873448\pi\) |
−0.0308205 | + | 0.999525i | \(0.509812\pi\) | |||||||
\(192\) | −0.570276 | − | 1.24873i | −0.0411561 | − | 0.0901193i | ||||
\(193\) | 10.0630 | + | 11.6134i | 0.724353 | + | 0.835947i | 0.991823 | − | 0.127619i | \(-0.0407333\pi\) |
−0.267471 | + | 0.963566i | \(0.586188\pi\) | |||||||
\(194\) | −1.04895 | − | 0.674121i | −0.0753104 | − | 0.0483990i | ||||
\(195\) | −1.14311 | + | 7.95048i | −0.0818595 | + | 0.569345i | ||||
\(196\) | −0.142315 | + | 0.989821i | −0.0101653 | + | 0.0707015i | ||||
\(197\) | 9.18681 | + | 5.90400i | 0.654533 | + | 0.420643i | 0.825320 | − | 0.564665i | \(-0.190995\pi\) |
−0.170787 | + | 0.985308i | \(0.554631\pi\) | |||||||
\(198\) | 1.25986 | + | 1.45396i | 0.0895344 | + | 0.103328i | ||||
\(199\) | −6.96653 | − | 15.2546i | −0.493844 | − | 1.08137i | −0.978421 | − | 0.206619i | \(-0.933754\pi\) |
0.484577 | − | 0.874748i | \(-0.338973\pi\) | |||||||
\(200\) | −0.802607 | + | 0.515804i | −0.0567529 | + | 0.0364729i | ||||
\(201\) | 18.9260 | + | 5.55719i | 1.33494 | + | 0.391974i | ||||
\(202\) | −4.57240 | + | 5.27683i | −0.321713 | + | 0.371276i | ||||
\(203\) | −5.04311 | + | 1.48079i | −0.353957 | + | 0.103931i | ||||
\(204\) | −2.66589 | + | 5.83748i | −0.186650 | + | 0.408705i | ||||
\(205\) | −4.34055 | − | 30.1892i | −0.303157 | − | 2.10851i | ||||
\(206\) | 3.23498 | 0.225392 | ||||||||
\(207\) | −5.32678 | − | 0.493158i | −0.370237 | − | 0.0342768i | ||||
\(208\) | −2.39788 | −0.166263 | ||||||||
\(209\) | −0.285070 | − | 1.98270i | −0.0197187 | − | 0.137146i | ||||
\(210\) | −1.39153 | + | 3.04702i | −0.0960245 | + | 0.210264i | ||||
\(211\) | −2.66561 | + | 0.782694i | −0.183508 | + | 0.0538829i | −0.372196 | − | 0.928154i | \(-0.621395\pi\) |
0.188687 | + | 0.982037i | \(0.439577\pi\) | |||||||
\(212\) | 6.45877 | − | 7.45381i | 0.443590 | − | 0.511930i | ||||
\(213\) | −12.2985 | − | 3.61115i | −0.842676 | − | 0.247432i | ||||
\(214\) | 10.8257 | − | 6.95725i | 0.740029 | − | 0.475588i | ||||
\(215\) | 5.60372 | + | 12.2704i | 0.382171 | + | 0.836837i | ||||
\(216\) | 3.69973 | + | 4.26972i | 0.251735 | + | 0.290517i | ||||
\(217\) | −0.506008 | − | 0.325192i | −0.0343501 | − | 0.0220754i | ||||
\(218\) | −0.207737 | + | 1.44485i | −0.0140698 | + | 0.0978573i | ||||
\(219\) | 0.622274 | − | 4.32801i | 0.0420494 | − | 0.292460i | ||||
\(220\) | −3.54041 | − | 2.27528i | −0.238694 | − | 0.153399i | ||||
\(221\) | 7.34062 | + | 8.47153i | 0.493784 | + | 0.569857i | ||||
\(222\) | −4.59464 | − | 10.0609i | −0.308372 | − | 0.675241i | ||||
\(223\) | −6.41328 | + | 4.12157i | −0.429465 | + | 0.276000i | −0.737464 | − | 0.675386i | \(-0.763977\pi\) |
0.307999 | + | 0.951387i | \(0.400341\pi\) | |||||||
\(224\) | −0.959493 | − | 0.281733i | −0.0641088 | − | 0.0188240i | ||||
\(225\) | 0.696914 | − | 0.804281i | 0.0464609 | − | 0.0536188i | ||||
\(226\) | −9.13599 | + | 2.68257i | −0.607717 | + | 0.178442i | ||||
\(227\) | 11.9154 | − | 26.0911i | 0.790852 | − | 1.73172i | 0.116656 | − | 0.993172i | \(-0.462782\pi\) |
0.674196 | − | 0.738552i | \(-0.264490\pi\) | |||||||
\(228\) | −0.226900 | − | 1.57812i | −0.0150268 | − | 0.104514i | ||||
\(229\) | 7.15345 | 0.472713 | 0.236357 | − | 0.971666i | \(-0.424047\pi\) | ||||
0.236357 | + | 0.971666i | \(0.424047\pi\) | |||||||
\(230\) | 11.4844 | − | 2.24778i | 0.757257 | − | 0.148214i | ||||
\(231\) | −2.36768 | −0.155782 | ||||||||
\(232\) | −0.748008 | − | 5.20251i | −0.0491092 | − | 0.341562i | ||||
\(233\) | −5.52388 | + | 12.0956i | −0.361881 | + | 0.792410i | 0.637871 | + | 0.770144i | \(0.279815\pi\) |
−0.999752 | + | 0.0222663i | \(0.992912\pi\) | |||||||
\(234\) | 2.56639 | − | 0.753560i | 0.167770 | − | 0.0492618i | ||||
\(235\) | −9.94351 | + | 11.4754i | −0.648643 | + | 0.748574i | ||||
\(236\) | −3.94051 | − | 1.15704i | −0.256505 | − | 0.0753167i | ||||
\(237\) | −8.43660 | + | 5.42187i | −0.548016 | + | 0.352189i | ||||
\(238\) | 1.94196 | + | 4.25229i | 0.125878 | + | 0.275635i | ||||
\(239\) | 18.5881 | + | 21.4518i | 1.20236 | + | 1.38760i | 0.900844 | + | 0.434143i | \(0.142949\pi\) |
0.301520 | + | 0.953460i | \(0.402506\pi\) | |||||||
\(240\) | −2.81797 | − | 1.81100i | −0.181899 | − | 0.116899i | ||||
\(241\) | 1.82965 | − | 12.7255i | 0.117858 | − | 0.819721i | −0.842049 | − | 0.539402i | \(-0.818651\pi\) |
0.959907 | − | 0.280319i | \(-0.0904404\pi\) | |||||||
\(242\) | −1.14212 | + | 7.94364i | −0.0734184 | + | 0.510637i | ||||
\(243\) | −9.16614 | − | 5.89072i | −0.588008 | − | 0.377890i | ||||
\(244\) | −5.92789 | − | 6.84115i | −0.379494 | − | 0.437960i | ||||
\(245\) | 1.01365 | + | 2.21959i | 0.0647598 | + | 0.141804i | ||||
\(246\) | 14.4350 | − | 9.27684i | 0.920344 | − | 0.591469i | ||||
\(247\) | −2.67208 | − | 0.784595i | −0.170021 | − | 0.0499226i | ||||
\(248\) | 0.393894 | − | 0.454578i | 0.0250123 | − | 0.0288657i | ||||
\(249\) | −5.36202 | + | 1.57443i | −0.339804 | + | 0.0997754i | ||||
\(250\) | 4.10117 | − | 8.98032i | 0.259381 | − | 0.567965i | ||||
\(251\) | 1.48749 | + | 10.3457i | 0.0938897 | + | 0.653017i | 0.981364 | + | 0.192159i | \(0.0615491\pi\) |
−0.887474 | + | 0.460858i | \(0.847542\pi\) | |||||||
\(252\) | 1.11546 | 0.0702674 | ||||||||
\(253\) | 4.81733 | + | 6.72390i | 0.302863 | + | 0.422728i | ||||
\(254\) | 6.85062 | 0.429846 | ||||||||
\(255\) | 2.22852 | + | 15.4997i | 0.139555 | + | 0.970629i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 9.00739 | − | 2.64481i | 0.561866 | − | 0.164979i | 0.0115469 | − | 0.999933i | \(-0.496324\pi\) |
0.550319 | + | 0.834955i | \(0.314506\pi\) | |||||||
\(258\) | −4.96981 | + | 5.73546i | −0.309407 | + | 0.357074i | ||||
\(259\) | −7.73052 | − | 2.26988i | −0.480351 | − | 0.141044i | ||||
\(260\) | −4.92221 | + | 3.16332i | −0.305263 | + | 0.196180i | ||||
\(261\) | 2.43552 | + | 5.33305i | 0.150755 | + | 0.330108i | ||||
\(262\) | 10.3898 | + | 11.9905i | 0.641884 | + | 0.740774i | ||||
\(263\) | 17.2514 | + | 11.0868i | 1.06377 | + | 0.683642i | 0.950752 | − | 0.309951i | \(-0.100313\pi\) |
0.113015 | + | 0.993593i | \(0.463949\pi\) | |||||||
\(264\) | 0.336956 | − | 2.34358i | 0.0207382 | − | 0.144237i | ||||
\(265\) | 3.42498 | − | 23.8212i | 0.210395 | − | 1.46333i | ||||
\(266\) | −0.977031 | − | 0.627899i | −0.0599056 | − | 0.0384990i | ||||
\(267\) | −4.33976 | − | 5.00835i | −0.265589 | − | 0.306506i | ||||
\(268\) | 5.96894 | + | 13.0702i | 0.364611 | + | 0.798387i | ||||
\(269\) | 8.61869 | − | 5.53890i | 0.525491 | − | 0.337712i | −0.250850 | − | 0.968026i | \(-0.580710\pi\) |
0.776341 | + | 0.630314i | \(0.217074\pi\) | |||||||
\(270\) | 13.2272 | + | 3.88387i | 0.804985 | + | 0.236365i | ||||
\(271\) | −8.42350 | + | 9.72124i | −0.511691 | + | 0.590523i | −0.951531 | − | 0.307553i | \(-0.900490\pi\) |
0.439840 | + | 0.898076i | \(0.355035\pi\) | |||||||
\(272\) | −4.48538 | + | 1.31703i | −0.271966 | + | 0.0798564i | ||||
\(273\) | −1.36745 | + | 2.99430i | −0.0827619 | + | 0.181223i | ||||
\(274\) | −1.20170 | − | 8.35803i | −0.0725975 | − | 0.504927i | ||||
\(275\) | −1.64549 | −0.0992269 | ||||||||
\(276\) | 3.83433 | + | 5.35185i | 0.230800 | + | 0.322144i | ||||
\(277\) | 4.84496 | 0.291106 | 0.145553 | − | 0.989350i | \(-0.453504\pi\) | ||||
0.145553 | + | 0.989350i | \(0.453504\pi\) | |||||||
\(278\) | −1.30989 | − | 9.11051i | −0.0785622 | − | 0.546412i | ||||
\(279\) | −0.278719 | + | 0.610310i | −0.0166865 | + | 0.0365383i | ||||
\(280\) | −2.34125 | + | 0.687454i | −0.139917 | + | 0.0410832i | ||||
\(281\) | −8.30134 | + | 9.58026i | −0.495216 | + | 0.571510i | −0.947252 | − | 0.320490i | \(-0.896153\pi\) |
0.452036 | + | 0.892000i | \(0.350698\pi\) | |||||||
\(282\) | −8.19650 | − | 2.40671i | −0.488095 | − | 0.143317i | ||||
\(283\) | 5.86944 | − | 3.77206i | 0.348902 | − | 0.224226i | −0.354438 | − | 0.935080i | \(-0.615328\pi\) |
0.703340 | + | 0.710854i | \(0.251691\pi\) | |||||||
\(284\) | −3.87872 | − | 8.49321i | −0.230160 | − | 0.503979i | ||||
\(285\) | −2.54765 | − | 2.94014i | −0.150910 | − | 0.174159i | ||||
\(286\) | −3.47915 | − | 2.23592i | −0.205727 | − | 0.132212i | ||||
\(287\) | 1.77885 | − | 12.3722i | 0.105002 | − | 0.730305i | ||||
\(288\) | −0.158746 | + | 1.10411i | −0.00935423 | + | 0.0650601i | ||||
\(289\) | 4.08273 | + | 2.62381i | 0.240161 | + | 0.154342i | ||||
\(290\) | −8.39870 | − | 9.69261i | −0.493188 | − | 0.569170i | ||||
\(291\) | −0.711072 | − | 1.55703i | −0.0416838 | − | 0.0912748i | ||||
\(292\) | 2.67951 | − | 1.72202i | 0.156807 | − | 0.100773i | ||||
\(293\) | 10.0466 | + | 2.94994i | 0.586928 | + | 0.172338i | 0.561696 | − | 0.827344i | \(-0.310149\pi\) |
0.0252324 | + | 0.999682i | \(0.491967\pi\) | |||||||
\(294\) | −0.898983 | + | 1.03748i | −0.0524298 | + | 0.0605072i | ||||
\(295\) | −9.61521 | + | 2.82328i | −0.559819 | + | 0.164378i | ||||
\(296\) | 3.34695 | − | 7.32879i | 0.194537 | − | 0.425977i | ||||
\(297\) | 1.38673 | + | 9.64490i | 0.0804660 | + | 0.559654i | ||||
\(298\) | 17.1557 | 0.993805 | ||||||||
\(299\) | 11.2857 | − | 2.20889i | 0.652668 | − | 0.127743i | ||||
\(300\) | −1.30972 | −0.0756168 | ||||||||
\(301\) | 0.786752 | + | 5.47198i | 0.0453476 | + | 0.315400i | ||||
\(302\) | −2.28463 | + | 5.00264i | −0.131466 | + | 0.287870i | ||||
\(303\) | −9.19686 | + | 2.70044i | −0.528346 | + | 0.155136i | ||||
\(304\) | 0.760554 | − | 0.877726i | 0.0436208 | − | 0.0503411i | ||||
\(305\) | −21.1934 | − | 6.22293i | −1.21353 | − | 0.356324i | ||||
\(306\) | 4.38670 | − | 2.81916i | 0.250771 | − | 0.161161i | ||||
\(307\) | 10.7211 | + | 23.4760i | 0.611888 | + | 1.33985i | 0.921275 | + | 0.388911i | \(0.127149\pi\) |
−0.309388 | + | 0.950936i | \(0.600124\pi\) | |||||||
\(308\) | −1.12945 | − | 1.30346i | −0.0643566 | − | 0.0742715i | ||||
\(309\) | 3.73596 | + | 2.40095i | 0.212531 | + | 0.136585i | ||||
\(310\) | 0.208875 | − | 1.45276i | 0.0118633 | − | 0.0825113i | ||||
\(311\) | −1.92838 | + | 13.4122i | −0.109349 | + | 0.760536i | 0.859187 | + | 0.511661i | \(0.170970\pi\) |
−0.968536 | + | 0.248874i | \(0.919939\pi\) | |||||||
\(312\) | −2.76921 | − | 1.77967i | −0.156776 | − | 0.100754i | ||||
\(313\) | 20.5748 | + | 23.7446i | 1.16296 | + | 1.34212i | 0.929090 | + | 0.369855i | \(0.120593\pi\) |
0.233867 | + | 0.972269i | \(0.424862\pi\) | |||||||
\(314\) | 4.23832 | + | 9.28062i | 0.239182 | + | 0.523736i | ||||
\(315\) | 2.28975 | − | 1.47153i | 0.129013 | − | 0.0829114i | ||||
\(316\) | −7.00938 | − | 2.05814i | −0.394309 | − | 0.115779i | ||||
\(317\) | −1.34629 | + | 1.55370i | −0.0756153 | + | 0.0872648i | −0.792297 | − | 0.610136i | \(-0.791115\pi\) |
0.716681 | + | 0.697401i | \(0.245660\pi\) | |||||||
\(318\) | 12.9911 | − | 3.81452i | 0.728503 | − | 0.213908i | ||||
\(319\) | 3.76581 | − | 8.24597i | 0.210845 | − | 0.461686i | ||||
\(320\) | −0.347262 | − | 2.41526i | −0.0194125 | − | 0.135017i | ||||
\(321\) | 17.6657 | 0.986004 | ||||||||
\(322\) | 4.77541 | + | 0.442111i | 0.266123 | + | 0.0246379i | ||||
\(323\) | −5.42923 | −0.302090 | ||||||||
\(324\) | 0.627519 | + | 4.36449i | 0.0348622 | + | 0.242472i | ||||
\(325\) | −0.950354 | + | 2.08098i | −0.0527162 | + | 0.115432i | ||||
\(326\) | 3.92321 | − | 1.15196i | 0.217287 | − | 0.0638011i | ||||
\(327\) | −1.31225 | + | 1.51442i | −0.0725675 | + | 0.0837474i | ||||
\(328\) | 11.9931 | + | 3.52148i | 0.662206 | + | 0.194441i | ||||
\(329\) | −5.23493 | + | 3.36429i | −0.288611 | + | 0.185479i | ||||
\(330\) | −2.40000 | − | 5.25527i | −0.132116 | − | 0.289293i | ||||
\(331\) | 12.1885 | + | 14.0663i | 0.669941 | + | 0.773153i | 0.984367 | − | 0.176129i | \(-0.0563577\pi\) |
−0.314427 | + | 0.949282i | \(0.601812\pi\) | |||||||
\(332\) | −3.42460 | − | 2.20086i | −0.187950 | − | 0.120788i | ||||
\(333\) | −1.27900 | + | 8.89564i | −0.0700888 | + | 0.487478i | ||||
\(334\) | 0.0329759 | − | 0.229353i | 0.00180436 | − | 0.0125496i | ||||
\(335\) | 29.4950 | + | 18.9553i | 1.61149 | + | 1.03564i | ||||
\(336\) | −0.898983 | − | 1.03748i | −0.0490436 | − | 0.0565993i | ||||
\(337\) | −7.45713 | − | 16.3288i | −0.406216 | − | 0.889488i | −0.996602 | − | 0.0823676i | \(-0.973752\pi\) |
0.590386 | − | 0.807121i | \(-0.298975\pi\) | |||||||
\(338\) | 6.09924 | − | 3.91975i | 0.331755 | − | 0.213206i | ||||
\(339\) | −12.5418 | − | 3.68259i | −0.681175 | − | 0.200011i | ||||
\(340\) | −7.46986 | + | 8.62068i | −0.405110 | + | 0.467522i | ||||
\(341\) | 0.995387 | − | 0.292272i | 0.0539032 | − | 0.0158274i | ||||
\(342\) | −0.538167 | + | 1.17842i | −0.0291008 | + | 0.0637218i | ||||
\(343\) | 0.142315 | + | 0.989821i | 0.00768428 | + | 0.0534453i | ||||
\(344\) | −5.52825 | −0.298063 | ||||||||
\(345\) | 14.9311 | + | 5.92765i | 0.803865 | + | 0.319134i | ||||
\(346\) | −20.9876 | −1.12830 | ||||||||
\(347\) | 2.05847 | + | 14.3170i | 0.110505 | + | 0.768576i | 0.967431 | + | 0.253136i | \(0.0814622\pi\) |
−0.856926 | + | 0.515439i | \(0.827629\pi\) | |||||||
\(348\) | 2.99738 | − | 6.56334i | 0.160676 | − | 0.351832i | ||||
\(349\) | 33.7851 | − | 9.92021i | 1.80848 | − | 0.531017i | 0.810013 | − | 0.586412i | \(-0.199460\pi\) |
0.998464 | + | 0.0553954i | \(0.0176419\pi\) | |||||||
\(350\) | −0.624777 | + | 0.721031i | −0.0333957 | + | 0.0385407i | ||||
\(351\) | 12.9984 | + | 3.81667i | 0.693803 | + | 0.203719i | ||||
\(352\) | 1.45093 | − | 0.932456i | 0.0773348 | − | 0.0497001i | ||||
\(353\) | −10.5671 | − | 23.1388i | −0.562431 | − | 1.23155i | −0.950730 | − | 0.310019i | \(-0.899665\pi\) |
0.388299 | − | 0.921533i | \(-0.373063\pi\) | |||||||
\(354\) | −3.69200 | − | 4.26080i | −0.196228 | − | 0.226459i | ||||
\(355\) | −19.1664 | − | 12.3175i | −1.01724 | − | 0.653744i | ||||
\(356\) | 0.687012 | − | 4.77827i | 0.0364116 | − | 0.253248i | ||||
\(357\) | −0.913293 | + | 6.35209i | −0.0483366 | + | 0.336188i | ||||
\(358\) | 5.37283 | + | 3.45291i | 0.283963 | + | 0.182492i | ||||
\(359\) | −6.82436 | − | 7.87573i | −0.360176 | − | 0.415665i | 0.546523 | − | 0.837444i | \(-0.315951\pi\) |
−0.906699 | + | 0.421779i | \(0.861406\pi\) | |||||||
\(360\) | 1.13069 | + | 2.47586i | 0.0595925 | + | 0.130489i | ||||
\(361\) | −14.8491 | + | 9.54293i | −0.781531 | + | 0.502260i | ||||
\(362\) | 13.1808 | + | 3.87023i | 0.692768 | + | 0.203415i | ||||
\(363\) | −7.21464 | + | 8.32613i | −0.378670 | + | 0.437009i | ||||
\(364\) | −2.30075 | + | 0.675560i | −0.120592 | + | 0.0354090i | ||||
\(365\) | 3.22863 | − | 7.06970i | 0.168994 | − | 0.370045i | ||||
\(366\) | −1.76850 | − | 12.3002i | −0.0924408 | − | 0.642940i | ||||
\(367\) | 16.7657 | 0.875164 | 0.437582 | − | 0.899178i | \(-0.355835\pi\) | ||||
0.437582 | + | 0.899178i | \(0.355835\pi\) | |||||||
\(368\) | −1.11722 | + | 4.66388i | −0.0582393 | + | 0.243122i | ||||
\(369\) | −13.9426 | −0.725820 | ||||||||
\(370\) | −2.79784 | − | 19.4594i | −0.145453 | − | 1.01165i | ||||
\(371\) | 4.09716 | − | 8.97153i | 0.212714 | − | 0.465778i | ||||
\(372\) | 0.792273 | − | 0.232632i | 0.0410775 | − | 0.0120614i | ||||
\(373\) | −2.06018 | + | 2.37757i | −0.106672 | + | 0.123106i | −0.806575 | − | 0.591132i | \(-0.798681\pi\) |
0.699903 | + | 0.714238i | \(0.253227\pi\) | |||||||
\(374\) | −7.73604 | − | 2.27151i | −0.400021 | − | 0.117457i | ||||
\(375\) | 11.4013 | − | 7.32719i | 0.588762 | − | 0.378375i | ||||
\(376\) | −2.58503 | − | 5.66043i | −0.133313 | − | 0.291915i | ||||
\(377\) | −8.25339 | − | 9.52492i | −0.425071 | − | 0.490558i | ||||
\(378\) | 4.75278 | + | 3.05443i | 0.244457 | + | 0.157103i | ||||
\(379\) | −2.85172 | + | 19.8341i | −0.146483 | + | 1.01881i | 0.775436 | + | 0.631427i | \(0.217530\pi\) |
−0.921918 | + | 0.387384i | \(0.873379\pi\) | |||||||
\(380\) | 0.403309 | − | 2.80508i | 0.0206893 | − | 0.143897i | ||||
\(381\) | 7.91151 | + | 5.08442i | 0.405319 | + | 0.260483i | ||||
\(382\) | −10.2506 | − | 11.8299i | −0.524469 | − | 0.605269i | ||||
\(383\) | 1.23599 | + | 2.70645i | 0.0631563 | + | 0.138293i | 0.938578 | − | 0.345067i | \(-0.112144\pi\) |
−0.875422 | + | 0.483360i | \(0.839416\pi\) | |||||||
\(384\) | 1.15486 | − | 0.742184i | 0.0589337 | − | 0.0378744i | ||||
\(385\) | −4.03802 | − | 1.18567i | −0.205796 | − | 0.0604273i | ||||
\(386\) | −10.0630 | + | 11.6134i | −0.512195 | + | 0.591104i | ||||
\(387\) | 5.91675 | − | 1.73732i | 0.300765 | − | 0.0883127i | ||||
\(388\) | 0.517978 | − | 1.13421i | 0.0262963 | − | 0.0575809i | ||||
\(389\) | −4.96869 | − | 34.5580i | −0.251923 | − | 1.75216i | −0.586645 | − | 0.809844i | \(-0.699552\pi\) |
0.334722 | − | 0.942317i | \(-0.391358\pi\) | |||||||
\(390\) | −8.03223 | −0.406728 | ||||||||
\(391\) | 19.8973 | − | 10.3305i | 1.00625 | − | 0.522435i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 3.09964 | + | 21.5585i | 0.156356 | + | 1.08748i | ||||
\(394\) | −4.53649 | + | 9.93353i | −0.228545 | + | 0.500444i | ||||
\(395\) | −17.1036 | + | 5.02206i | −0.860573 | + | 0.252687i | ||||
\(396\) | −1.25986 | + | 1.45396i | −0.0633104 | + | 0.0730641i | ||||
\(397\) | −35.3977 | − | 10.3937i | −1.77656 | − | 0.521644i | −0.781766 | − | 0.623572i | \(-0.785681\pi\) |
−0.994792 | + | 0.101928i | \(0.967499\pi\) | |||||||
\(398\) | 14.1079 | − | 9.06657i | 0.707163 | − | 0.454466i | ||||
\(399\) | −0.662317 | − | 1.45027i | −0.0331573 | − | 0.0726045i | ||||
\(400\) | −0.624777 | − | 0.721031i | −0.0312389 | − | 0.0360516i | ||||
\(401\) | 6.08063 | + | 3.90778i | 0.303652 | + | 0.195145i | 0.683589 | − | 0.729867i | \(-0.260418\pi\) |
−0.379937 | + | 0.925012i | \(0.624054\pi\) | |||||||
\(402\) | −2.80717 | + | 19.5243i | −0.140009 | + | 0.973782i | ||||
\(403\) | 0.205262 | − | 1.42763i | 0.0102248 | − | 0.0711151i | ||||
\(404\) | −5.87384 | − | 3.77489i | −0.292234 | − | 0.187808i | ||||
\(405\) | 7.04583 | + | 8.13132i | 0.350110 | + | 0.404049i | ||||
\(406\) | −2.18343 | − | 4.78104i | −0.108362 | − | 0.237279i | ||||
\(407\) | 11.6900 | − | 7.51268i | 0.579450 | − | 0.372390i | ||||
\(408\) | −6.15746 | − | 1.80799i | −0.304840 | − | 0.0895090i | ||||
\(409\) | 21.9734 | − | 25.3587i | 1.08652 | − | 1.25391i | 0.121256 | − | 0.992621i | \(-0.461308\pi\) |
0.965261 | − | 0.261286i | \(-0.0841466\pi\) | |||||||
\(410\) | 29.2642 | − | 8.59275i | 1.44526 | − | 0.424366i | ||||
\(411\) | 4.81540 | − | 10.5442i | 0.237526 | − | 0.520109i | ||||
\(412\) | 0.460386 | + | 3.20206i | 0.0226816 | + | 0.157754i | ||||
\(413\) | −4.10686 | −0.202086 | ||||||||
\(414\) | −0.269942 | − | 5.34274i | −0.0132669 | − | 0.262581i | ||||
\(415\) | −9.93322 | −0.487603 | ||||||||
\(416\) | −0.341254 | − | 2.37347i | −0.0167313 | − | 0.116369i | ||||
\(417\) | 5.24893 | − | 11.4936i | 0.257041 | − | 0.562842i | ||||
\(418\) | 1.92195 | − | 0.564336i | 0.0940058 | − | 0.0276026i | ||||
\(419\) | 10.2963 | − | 11.8826i | 0.503007 | − | 0.580501i | −0.446287 | − | 0.894890i | \(-0.647254\pi\) |
0.949294 | + | 0.314388i | \(0.101799\pi\) | |||||||
\(420\) | −3.21404 | − | 0.943727i | −0.156829 | − | 0.0460492i | ||||
\(421\) | −12.7897 | + | 8.21944i | −0.623332 | + | 0.400591i | −0.813835 | − | 0.581095i | \(-0.802624\pi\) |
0.190503 | + | 0.981687i | \(0.438988\pi\) | |||||||
\(422\) | −1.15408 | − | 2.52709i | −0.0561799 | − | 0.123017i | ||||
\(423\) | 4.54555 | + | 5.24585i | 0.221012 | + | 0.255062i | ||||
\(424\) | 8.29712 | + | 5.33224i | 0.402944 | + | 0.258956i | ||||
\(425\) | −0.634722 | + | 4.41459i | −0.0307885 | + | 0.214139i | ||||
\(426\) | 1.82414 | − | 12.6872i | 0.0883801 | − | 0.614697i | ||||
\(427\) | −7.61514 | − | 4.89396i | −0.368523 | − | 0.236835i | ||||
\(428\) | 8.42709 | + | 9.72538i | 0.407339 | + | 0.470094i | ||||
\(429\) | −2.35848 | − | 5.16434i | −0.113868 | − | 0.249337i | ||||
\(430\) | −11.3481 | + | 7.29295i | −0.547252 | + | 0.351697i | ||||
\(431\) | −30.9113 | − | 9.07637i | −1.48894 | − | 0.437193i | −0.566740 | − | 0.823897i | \(-0.691796\pi\) |
−0.922204 | + | 0.386703i | \(0.873614\pi\) | |||||||
\(432\) | −3.69973 | + | 4.26972i | −0.178003 | + | 0.205427i | ||||
\(433\) | −13.4972 | + | 3.96314i | −0.648635 | + | 0.190456i | −0.589468 | − | 0.807792i | \(-0.700663\pi\) |
−0.0591671 | + | 0.998248i | \(0.518844\pi\) | |||||||
\(434\) | 0.249869 | − | 0.547137i | 0.0119941 | − | 0.0262634i | ||||
\(435\) | −2.50562 | − | 17.4270i | −0.120135 | − | 0.835560i | ||||
\(436\) | −1.45970 | −0.0699071 | ||||||||
\(437\) | −2.77102 | + | 4.83166i | −0.132556 | + | 0.231129i | ||||
\(438\) | 4.37252 | 0.208927 | ||||||||
\(439\) | −0.567997 | − | 3.95051i | −0.0271090 | − | 0.188547i | 0.971767 | − | 0.235942i | \(-0.0758174\pi\) |
−0.998876 | + | 0.0473942i | \(0.984908\pi\) | |||||||
\(440\) | 1.74827 | − | 3.82818i | 0.0833455 | − | 0.182501i | ||||
\(441\) | 1.07028 | − | 0.314261i | 0.0509655 | − | 0.0149648i | ||||
\(442\) | −7.34062 | + | 8.47153i | −0.349158 | + | 0.402950i | ||||
\(443\) | −34.8466 | − | 10.2319i | −1.65561 | − | 0.486132i | −0.685355 | − | 0.728209i | \(-0.740353\pi\) |
−0.970257 | + | 0.242077i | \(0.922171\pi\) | |||||||
\(444\) | 9.30457 | − | 5.97968i | 0.441575 | − | 0.283783i | ||||
\(445\) | −4.89331 | − | 10.7149i | −0.231965 | − | 0.507933i | ||||
\(446\) | −4.99232 | − | 5.76144i | −0.236393 | − | 0.272812i | ||||
\(447\) | 19.8125 | + | 12.7327i | 0.937098 | + | 0.602236i | ||||
\(448\) | 0.142315 | − | 0.989821i | 0.00672374 | − | 0.0467647i | ||||
\(449\) | 2.31274 | − | 16.0855i | 0.109145 | − | 0.759120i | −0.859583 | − | 0.510996i | \(-0.829277\pi\) |
0.968728 | − | 0.248124i | \(-0.0798141\pi\) | |||||||
\(450\) | 0.895276 | + | 0.575359i | 0.0422037 | + | 0.0271227i | ||||
\(451\) | 14.1175 | + | 16.2924i | 0.664766 | + | 0.767181i | ||||
\(452\) | −3.95545 | − | 8.66123i | −0.186049 | − | 0.407390i | ||||
\(453\) | −6.35131 | + | 4.08174i | −0.298411 | + | 0.191777i | ||||
\(454\) | 27.5212 | + | 8.08096i | 1.29164 | + | 0.379258i | ||||
\(455\) | −3.83162 | + | 4.42193i | −0.179629 | + | 0.207303i | ||||
\(456\) | 1.52977 | − | 0.449181i | 0.0716380 | − | 0.0210348i | ||||
\(457\) | −16.9145 | + | 37.0377i | −0.791229 | + | 1.73255i | −0.118129 | + | 0.992998i | \(0.537690\pi\) |
−0.673100 | + | 0.739551i | \(0.735038\pi\) | |||||||
\(458\) | 1.01804 | + | 7.08064i | 0.0475700 | + | 0.330856i | ||||
\(459\) | 26.4106 | 1.23274 | ||||||||
\(460\) | 3.85930 | + | 11.0476i | 0.179941 | + | 0.515097i | ||||
\(461\) | −34.1098 | −1.58865 | −0.794327 | − | 0.607491i | \(-0.792176\pi\) | ||||
−0.794327 | + | 0.607491i | \(0.792176\pi\) | |||||||
\(462\) | −0.336956 | − | 2.34358i | −0.0156766 | − | 0.109033i | ||||
\(463\) | −16.8462 | + | 36.8880i | −0.782910 | + | 1.71433i | −0.0869947 | + | 0.996209i | \(0.527726\pi\) |
−0.695915 | + | 0.718124i | \(0.745001\pi\) | |||||||
\(464\) | 5.04311 | − | 1.48079i | 0.234120 | − | 0.0687439i | ||||
\(465\) | 1.31944 | − | 1.52271i | 0.0611875 | − | 0.0706141i | ||||
\(466\) | −12.7586 | − | 3.74627i | −0.591032 | − | 0.173543i | ||||
\(467\) | −25.9614 | + | 16.6844i | −1.20135 | + | 0.772061i | −0.979189 | − | 0.202949i | \(-0.934948\pi\) |
−0.222161 | + | 0.975010i | \(0.571311\pi\) | |||||||
\(468\) | 1.11113 | + | 2.43303i | 0.0513618 | + | 0.112467i | ||||
\(469\) | 9.40945 | + | 10.8591i | 0.434488 | + | 0.501426i | ||||
\(470\) | −12.7737 | − | 8.20917i | −0.589208 | − | 0.378661i | ||||
\(471\) | −1.99326 | + | 13.8634i | −0.0918446 | + | 0.638793i | ||||
\(472\) | 0.584468 | − | 4.06506i | 0.0269023 | − | 0.187110i | ||||
\(473\) | −8.02111 | − | 5.15485i | −0.368811 | − | 0.237020i | ||||
\(474\) | −6.56734 | − | 7.57912i | −0.301648 | − | 0.348120i | ||||
\(475\) | −0.460299 | − | 1.00791i | −0.0211199 | − | 0.0462462i | ||||
\(476\) | −3.93264 | + | 2.52735i | −0.180252 | + | 0.115841i | ||||
\(477\) | −10.5559 | − | 3.09950i | −0.483323 | − | 0.141916i | ||||
\(478\) | −18.5881 | + | 21.4518i | −0.850200 | + | 0.981183i | ||||
\(479\) | −1.78388 | + | 0.523794i | −0.0815075 | + | 0.0239328i | −0.322232 | − | 0.946661i | \(-0.604433\pi\) |
0.240725 | + | 0.970593i | \(0.422615\pi\) | |||||||
\(480\) | 1.39153 | − | 3.04702i | 0.0635142 | − | 0.139077i | ||||
\(481\) | −2.74944 | − | 19.1228i | −0.125364 | − | 0.871923i | ||||
\(482\) | 12.8564 | 0.585591 | ||||||||
\(483\) | 5.18681 | + | 4.05481i | 0.236008 | + | 0.184500i | ||||
\(484\) | −8.02533 | −0.364788 | ||||||||
\(485\) | −0.432998 | − | 3.01157i | −0.0196614 | − | 0.136748i | ||||
\(486\) | 4.52628 | − | 9.91118i | 0.205316 | − | 0.449580i | ||||
\(487\) | 5.28273 | − | 1.55115i | 0.239383 | − | 0.0702893i | −0.159840 | − | 0.987143i | \(-0.551098\pi\) |
0.399224 | + | 0.916854i | \(0.369280\pi\) | |||||||
\(488\) | 5.92789 | − | 6.84115i | 0.268343 | − | 0.309684i | ||||
\(489\) | 5.38573 | + | 1.58139i | 0.243551 | + | 0.0715131i | ||||
\(490\) | −2.05274 | + | 1.31921i | −0.0927333 | + | 0.0595960i | ||||
\(491\) | −16.9424 | − | 37.0986i | −0.764598 | − | 1.67424i | −0.738197 | − | 0.674585i | \(-0.764323\pi\) |
−0.0264005 | − | 0.999651i | \(-0.508405\pi\) | |||||||
\(492\) | 11.2367 | + | 12.9679i | 0.506591 | + | 0.584637i | ||||
\(493\) | −20.6700 | − | 13.2838i | −0.930929 | − | 0.598272i | ||||
\(494\) | 0.396331 | − | 2.75655i | 0.0178318 | − | 0.124023i | ||||
\(495\) | −0.668083 | + | 4.64662i | −0.0300281 | + | 0.208850i | ||||
\(496\) | 0.506008 | + | 0.325192i | 0.0227204 | + | 0.0146015i | ||||
\(497\) | −6.11442 | − | 7.05641i | −0.274269 | − | 0.316523i | ||||
\(498\) | −2.32150 | − | 5.08337i | −0.104029 | − | 0.227791i | ||||
\(499\) | −26.6848 | + | 17.1493i | −1.19457 | + | 0.767707i | −0.978009 | − | 0.208561i | \(-0.933122\pi\) |
−0.216566 | + | 0.976268i | \(0.569486\pi\) | |||||||
\(500\) | 9.47257 | + | 2.78140i | 0.423626 | + | 0.124388i | ||||
\(501\) | 0.208304 | − | 0.240396i | 0.00930635 | − | 0.0107401i | ||||
\(502\) | −10.0287 | + | 2.94470i | −0.447605 | + | 0.131429i | ||||
\(503\) | 5.60045 | − | 12.2633i | 0.249712 | − | 0.546793i | −0.742718 | − | 0.669604i | \(-0.766464\pi\) |
0.992430 | + | 0.122811i | \(0.0391910\pi\) | |||||||
\(504\) | 0.158746 | + | 1.10411i | 0.00707113 | + | 0.0491808i | ||||
\(505\) | −17.0373 | −0.758152 | ||||||||
\(506\) | −5.96988 | + | 5.72521i | −0.265394 | + | 0.254517i | ||||
\(507\) | 9.95295 | 0.442026 | ||||||||
\(508\) | 0.974945 | + | 6.78089i | 0.0432562 | + | 0.300853i | ||||
\(509\) | −17.4375 | + | 38.1827i | −0.772902 | + | 1.69242i | −0.0527454 | + | 0.998608i | \(0.516797\pi\) |
−0.720157 | + | 0.693812i | \(0.755930\pi\) | |||||||
\(510\) | −15.0248 | + | 4.41167i | −0.665309 | + | 0.195352i | ||||
\(511\) | 2.08582 | − | 2.40717i | 0.0922715 | − | 0.106487i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | −5.51987 | + | 3.54741i | −0.243708 | + | 0.156622i | ||||
\(514\) | 3.89977 | + | 8.53931i | 0.172012 | + | 0.376653i | ||||
\(515\) | 5.16925 | + | 5.96564i | 0.227785 | + | 0.262877i | ||||
\(516\) | −6.38436 | − | 4.10298i | −0.281056 | − | 0.180624i | ||||
\(517\) | 1.52740 | − | 10.6233i | 0.0671751 | − | 0.467213i | ||||
\(518\) | 1.14661 | − | 7.97487i | 0.0503793 | − | 0.350396i | ||||
\(519\) | −24.2378 | − | 15.5767i | −1.06392 | − | 0.683740i | ||||
\(520\) | −3.83162 | − | 4.42193i | −0.168028 | − | 0.193914i | ||||
\(521\) | 10.1324 | + | 22.1869i | 0.443909 | + | 0.972026i | 0.990864 | + | 0.134864i | \(0.0430597\pi\) |
−0.546955 | + | 0.837162i | \(0.684213\pi\) | |||||||
\(522\) | −4.93216 | + | 3.16971i | −0.215875 | + | 0.138734i | ||||
\(523\) | −3.31084 | − | 0.972150i | −0.144773 | − | 0.0425092i | 0.208543 | − | 0.978013i | \(-0.433128\pi\) |
−0.353316 | + | 0.935504i | \(0.614946\pi\) | |||||||
\(524\) | −10.3898 | + | 11.9905i | −0.453881 | + | 0.523806i | ||||
\(525\) | −1.25667 | + | 0.368991i | −0.0548455 | + | 0.0161041i | ||||
\(526\) | −8.51883 | + | 18.6536i | −0.371439 | + | 0.813337i | ||||
\(527\) | −0.400164 | − | 2.78320i | −0.0174314 | − | 0.121238i | ||||
\(528\) | 2.36768 | 0.103040 | ||||||||
\(529\) | 0.961941 | − | 22.9799i | 0.0418235 | − | 0.999125i | ||||
\(530\) | 24.0662 | 1.04537 | ||||||||
\(531\) | 0.651950 | + | 4.53441i | 0.0282922 | + | 0.196777i | ||||
\(532\) | 0.482462 | − | 1.05645i | 0.0209174 | − | 0.0458027i | ||||
\(533\) | 28.7579 | − | 8.44408i | 1.24564 | − | 0.365754i | ||||
\(534\) | 4.33976 | − | 5.00835i | 0.187800 | − | 0.216733i | ||||
\(535\) | 30.1285 | + | 8.84651i | 1.30257 | + | 0.382468i | ||||
\(536\) | −12.0877 | + | 7.76827i | −0.522107 | + | 0.335538i | ||||
\(537\) | 3.64218 | + | 7.97526i | 0.157172 | + | 0.344158i | ||||
\(538\) | 6.70909 | + | 7.74270i | 0.289249 | + | 0.333811i | ||||
\(539\) | −1.45093 | − | 0.932456i | −0.0624960 | − | 0.0401637i | ||||
\(540\) | −1.96190 | + | 13.6453i | −0.0844269 | + | 0.587202i | ||||
\(541\) | 0.780345 | − | 5.42742i | 0.0335496 | − | 0.233343i | −0.966146 | − | 0.257994i | \(-0.916938\pi\) |
0.999696 | + | 0.0246513i | \(0.00784756\pi\) | |||||||
\(542\) | −10.8211 | − | 6.95429i | −0.464805 | − | 0.298712i | ||||
\(543\) | 12.3496 | + | 14.2522i | 0.529971 | + | 0.611619i | ||||
\(544\) | −1.94196 | − | 4.25229i | −0.0832606 | − | 0.182315i | ||||
\(545\) | −2.99639 | + | 1.92566i | −0.128351 | + | 0.0824863i | ||||
\(546\) | −3.15843 | − | 0.927399i | −0.135168 | − | 0.0396890i | ||||
\(547\) | 19.7048 | − | 22.7406i | 0.842518 | − | 0.972317i | −0.157366 | − | 0.987540i | \(-0.550300\pi\) |
0.999884 | + | 0.0152230i | \(0.00484583\pi\) | |||||||
\(548\) | 8.10194 | − | 2.37894i | 0.346098 | − | 0.101623i | ||||
\(549\) | −4.19457 | + | 9.18482i | −0.179020 | + | 0.391999i | ||||
\(550\) | −0.234178 | − | 1.62874i | −0.00998538 | − | 0.0694499i | ||||
\(551\) | 6.10432 | 0.260053 | ||||||||
\(552\) | −4.75170 | + | 4.55695i | −0.202246 | + | 0.193957i | ||||
\(553\) | −7.30530 | −0.310653 | ||||||||
\(554\) | 0.689510 | + | 4.79565i | 0.0292945 | + | 0.203748i | ||||
\(555\) | 11.2114 | − | 24.5494i | 0.475896 | − | 1.04207i | ||||
\(556\) | 8.83136 | − | 2.59312i | 0.374533 | − | 0.109973i | ||||
\(557\) | 3.57276 | − | 4.12319i | 0.151383 | − | 0.174705i | −0.674993 | − | 0.737824i | \(-0.735853\pi\) |
0.826376 | + | 0.563119i | \(0.190399\pi\) | |||||||
\(558\) | −0.643763 | − | 0.189026i | −0.0272527 | − | 0.00800211i | ||||
\(559\) | −11.1517 | + | 7.16677i | −0.471667 | + | 0.303122i | ||||
\(560\) | −1.01365 | − | 2.21959i | −0.0428346 | − | 0.0937947i | ||||
\(561\) | −7.24817 | − | 8.36483i | −0.306018 | − | 0.353164i | ||||
\(562\) | −10.6641 | − | 6.85343i | −0.449840 | − | 0.289095i | ||||
\(563\) | 5.68434 | − | 39.5354i | 0.239566 | − | 1.66622i | −0.414702 | − | 0.909957i | \(-0.636114\pi\) |
0.654269 | − | 0.756262i | \(-0.272977\pi\) | |||||||
\(564\) | 1.21573 | − | 8.45558i | 0.0511914 | − | 0.356044i | ||||
\(565\) | −19.5455 | − | 12.5611i | −0.822287 | − | 0.528452i | ||||
\(566\) | 4.56897 | + | 5.27288i | 0.192048 | + | 0.221635i | ||||
\(567\) | 1.83172 | + | 4.01090i | 0.0769250 | + | 0.168442i | ||||
\(568\) | 7.85476 | − | 5.04795i | 0.329579 | − | 0.211807i | ||||
\(569\) | −18.1447 | − | 5.32775i | −0.760664 | − | 0.223351i | −0.121678 | − | 0.992570i | \(-0.538828\pi\) |
−0.638986 | + | 0.769219i | \(0.720646\pi\) | |||||||
\(570\) | 2.54765 | − | 2.94014i | 0.106709 | − | 0.123149i | ||||
\(571\) | 14.2235 | − | 4.17640i | 0.595236 | − | 0.174777i | 0.0297814 | − | 0.999556i | \(-0.490519\pi\) |
0.565455 | + | 0.824779i | \(0.308701\pi\) | |||||||
\(572\) | 1.71802 | − | 3.76194i | 0.0718341 | − | 0.157295i | ||||
\(573\) | −3.05812 | − | 21.2697i | −0.127755 | − | 0.888556i | ||||
\(574\) | 12.4994 | 0.521714 | ||||||||
\(575\) | 3.60474 | + | 2.81802i | 0.150328 | + | 0.117520i | ||||
\(576\) | −1.11546 | −0.0464775 | ||||||||
\(577\) | 1.61635 | + | 11.2420i | 0.0672895 | + | 0.468009i | 0.995408 | + | 0.0957236i | \(0.0305165\pi\) |
−0.928118 | + | 0.372285i | \(0.878574\pi\) | |||||||
\(578\) | −2.01607 | + | 4.41458i | −0.0838576 | + | 0.183622i | ||||
\(579\) | −20.2406 | + | 5.94319i | −0.841172 | + | 0.246990i | ||||
\(580\) | 8.39870 | − | 9.69261i | 0.348737 | − | 0.402464i | ||||
\(581\) | −3.90594 | − | 1.14689i | −0.162046 | − | 0.0475809i | ||||
\(582\) | 1.43999 | − | 0.925423i | 0.0596894 | − | 0.0383600i | ||||
\(583\) | 7.06647 | + | 15.4734i | 0.292663 | + | 0.640843i | ||||
\(584\) | 2.08582 | + | 2.40717i | 0.0863120 | + | 0.0996094i | ||||
\(585\) | 5.49053 | + | 3.52855i | 0.227006 | + | 0.145888i | ||||
\(586\) | −1.49014 | + | 10.3641i | −0.0615571 | + | 0.428139i | ||||
\(587\) | −1.85230 | + | 12.8830i | −0.0764524 | + | 0.531738i | 0.915220 | + | 0.402954i | \(0.132017\pi\) |
−0.991673 | + | 0.128784i | \(0.958893\pi\) | |||||||
\(588\) | −1.15486 | − | 0.742184i | −0.0476257 | − | 0.0306071i | ||||
\(589\) | 0.457468 | + | 0.527946i | 0.0188496 | + | 0.0217536i | ||||
\(590\) | −4.16293 | − | 9.11555i | −0.171385 | − | 0.375281i | ||||
\(591\) | −12.6115 | + | 8.10493i | −0.518769 | + | 0.333392i | ||||
\(592\) | 7.73052 | + | 2.26988i | 0.317722 | + | 0.0932917i | ||||
\(593\) | 30.6704 | − | 35.3956i | 1.25948 | − | 1.45352i | 0.422436 | − | 0.906393i | \(-0.361175\pi\) |
0.837048 | − | 0.547129i | \(-0.184279\pi\) | |||||||
\(594\) | −9.34937 | + | 2.74522i | −0.383609 | + | 0.112638i | ||||
\(595\) | −4.73855 | + | 10.3760i | −0.194262 | + | 0.425374i | ||||
\(596\) | 2.44152 | + | 16.9811i | 0.100008 | + | 0.695573i | ||||
\(597\) | 23.0217 | 0.942215 | ||||||||
\(598\) | 3.79253 | + | 10.8565i | 0.155088 | + | 0.443953i | ||||
\(599\) | 41.1082 | 1.67963 | 0.839817 | − | 0.542870i | \(-0.182662\pi\) | ||||
0.839817 | + | 0.542870i | \(0.182662\pi\) | |||||||
\(600\) | −0.186393 | − | 1.29639i | −0.00760945 | − | 0.0529249i | ||||
\(601\) | 7.83210 | − | 17.1499i | 0.319478 | − | 0.699560i | −0.679954 | − | 0.733255i | \(-0.738000\pi\) |
0.999432 | + | 0.0336952i | \(0.0107276\pi\) | |||||||
\(602\) | −5.30432 | + | 1.55749i | −0.216188 | + | 0.0634785i | ||||
\(603\) | 10.4959 | − | 12.1129i | 0.427425 | − | 0.493274i | ||||
\(604\) | −5.27686 | − | 1.54943i | −0.214712 | − | 0.0630452i | ||||
\(605\) | −16.4739 | + | 10.5871i | −0.669759 | + | 0.430428i | ||||
\(606\) | −3.98181 | − | 8.71894i | −0.161750 | − | 0.354183i | ||||
\(607\) | −10.2120 | − | 11.7853i | −0.414492 | − | 0.478349i | 0.509659 | − | 0.860376i | \(-0.329771\pi\) |
−0.924151 | + | 0.382027i | \(0.875226\pi\) | |||||||
\(608\) | 0.977031 | + | 0.627899i | 0.0396238 | + | 0.0254647i | ||||
\(609\) | 1.02686 | − | 7.14193i | 0.0416103 | − | 0.289406i | ||||
\(610\) | 3.14346 | − | 21.8633i | 0.127275 | − | 0.885217i | ||||
\(611\) | −12.5527 | − | 8.06714i | −0.507829 | − | 0.326362i | ||||
\(612\) | 3.41476 | + | 3.94084i | 0.138033 | + | 0.159299i | ||||
\(613\) | 19.3685 | + | 42.4112i | 0.782288 | + | 1.71297i | 0.697514 | + | 0.716571i | \(0.254290\pi\) |
0.0847739 | + | 0.996400i | \(0.472983\pi\) | |||||||
\(614\) | −21.7113 | + | 13.9530i | −0.876196 | + | 0.563097i | ||||
\(615\) | 40.1735 | + | 11.7960i | 1.61995 | + | 0.475661i | ||||
\(616\) | 1.12945 | − | 1.30346i | 0.0455070 | − | 0.0525179i | ||||
\(617\) | 13.6720 | − | 4.01446i | 0.550414 | − | 0.161616i | 0.00531178 | − | 0.999986i | \(-0.498309\pi\) |
0.545102 | + | 0.838370i | \(0.316491\pi\) | |||||||
\(618\) | −1.84483 | + | 4.03962i | −0.0742101 | + | 0.162497i | ||||
\(619\) | 3.42484 | + | 23.8203i | 0.137656 | + | 0.957418i | 0.935191 | + | 0.354145i | \(0.115228\pi\) |
−0.797535 | + | 0.603273i | \(0.793863\pi\) | |||||||
\(620\) | 1.46770 | 0.0589442 | ||||||||
\(621\) | 13.4797 | − | 23.5037i | 0.540921 | − | 0.943170i | ||||
\(622\) | −13.5501 | −0.543310 | ||||||||
\(623\) | −0.687012 | − | 4.77827i | −0.0275246 | − | 0.191437i | ||||
\(624\) | 1.36745 | − | 2.99430i | 0.0547419 | − | 0.119868i | ||||
\(625\) | 27.6910 | − | 8.13082i | 1.10764 | − | 0.325233i | ||||
\(626\) | −20.5748 | + | 23.7446i | −0.822334 | + | 0.949025i | ||||
\(627\) | 2.63843 | + | 0.774713i | 0.105369 | + | 0.0309390i | ||||
\(628\) | −8.58298 | + | 5.51595i | −0.342498 | + | 0.220110i | ||||
\(629\) | −15.6461 | − | 34.2602i | −0.623851 | − | 1.36604i | ||||
\(630\) | 1.78242 | + | 2.05702i | 0.0710132 | + | 0.0819536i | ||||
\(631\) | −0.819195 | − | 0.526465i | −0.0326116 | − | 0.0209582i | 0.524233 | − | 0.851575i | \(-0.324352\pi\) |
−0.556845 | + | 0.830616i | \(0.687988\pi\) | |||||||
\(632\) | 1.03965 | − | 7.23094i | 0.0413551 | − | 0.287631i | ||||
\(633\) | 0.542760 | − | 3.77498i | 0.0215728 | − | 0.150042i | ||||
\(634\) | −1.72949 | − | 1.11147i | −0.0686867 | − | 0.0441423i | ||||
\(635\) | 10.9468 | + | 12.6332i | 0.434409 | + | 0.501334i | ||||
\(636\) | 5.62452 | + | 12.3160i | 0.223027 | + | 0.488360i | ||||
\(637\) | −2.01722 | + | 1.29639i | −0.0799253 | + | 0.0513649i | ||||
\(638\) | 8.69797 | + | 2.55395i | 0.344356 | + | 0.101112i | ||||
\(639\) | −6.82039 | + | 7.87115i | −0.269810 | + | 0.311378i | ||||
\(640\) | 2.34125 | − | 0.687454i | 0.0925462 | − | 0.0271740i | ||||
\(641\) | 14.6795 | − | 32.1435i | 0.579804 | − | 1.26959i | −0.361607 | − | 0.932331i | \(-0.617772\pi\) |
0.941411 | − | 0.337263i | \(-0.109501\pi\) | |||||||
\(642\) | 2.51409 | + | 17.4859i | 0.0992233 | + | 0.690114i | ||||
\(643\) | 32.6259 | 1.28664 | 0.643321 | − | 0.765597i | \(-0.277556\pi\) | ||||
0.643321 | + | 0.765597i | \(0.277556\pi\) | |||||||
\(644\) | 0.242000 | + | 4.78972i | 0.00953615 | + | 0.188741i | ||||
\(645\) | −18.5181 | −0.729151 | ||||||||
\(646\) | −0.772660 | − | 5.37397i | −0.0303999 | − | 0.211436i | ||||
\(647\) | 1.67198 | − | 3.66114i | 0.0657325 | − | 0.143934i | −0.873914 | − | 0.486080i | \(-0.838426\pi\) |
0.939647 | + | 0.342146i | \(0.111154\pi\) | |||||||
\(648\) | −4.23076 | + | 1.24226i | −0.166200 | + | 0.0488007i | ||||
\(649\) | 4.63851 | − | 5.35313i | 0.182078 | − | 0.210129i | ||||
\(650\) | −2.19505 | − | 0.644526i | −0.0860971 | − | 0.0252804i | ||||
\(651\) | 0.694641 | − | 0.446418i | 0.0272251 | − | 0.0174965i | ||||
\(652\) | 1.69857 | + | 3.71934i | 0.0665210 | + | 0.145661i | ||||
\(653\) | −19.9507 | − | 23.0243i | −0.780730 | − | 0.901010i | 0.216432 | − | 0.976298i | \(-0.430558\pi\) |
−0.997162 | + | 0.0752877i | \(0.976012\pi\) | |||||||
\(654\) | −1.68575 | − | 1.08337i | −0.0659182 | − | 0.0423630i | ||||
\(655\) | −5.50954 | + | 38.3197i | −0.215276 | + | 1.49727i | ||||
\(656\) | −1.77885 | + | 12.3722i | −0.0694523 | + | 0.483051i | ||||
\(657\) | −2.98889 | − | 1.92084i | −0.116608 | − | 0.0749392i | ||||
\(658\) | −4.07505 | − | 4.70286i | −0.158862 | − | 0.183337i | ||||
\(659\) | −21.0100 | − | 46.0055i | −0.818434 | − | 1.79212i | −0.565763 | − | 0.824568i | \(-0.691418\pi\) |
−0.252671 | − | 0.967552i | \(-0.581309\pi\) | |||||||
\(660\) | 4.86022 | − | 3.12347i | 0.189184 | − | 0.121581i | ||||
\(661\) | 2.45229 | + | 0.720057i | 0.0953830 | + | 0.0280070i | 0.329076 | − | 0.944304i | \(-0.393263\pi\) |
−0.233693 | + | 0.972310i | \(0.575081\pi\) | |||||||
\(662\) | −12.1885 | + | 14.0663i | −0.473719 | + | 0.546701i | ||||
\(663\) | −14.7648 | + | 4.33535i | −0.573419 | + | 0.168371i | ||||
\(664\) | 1.69109 | − | 3.70296i | 0.0656269 | − | 0.143703i | ||||
\(665\) | −0.403309 | − | 2.80508i | −0.0156397 | − | 0.108776i | ||||
\(666\) | −8.98712 | −0.348244 | ||||||||
\(667\) | −22.3714 | + | 11.6150i | −0.866226 | + | 0.449735i | ||||
\(668\) | 0.231711 | 0.00896517 | ||||||||
\(669\) | −1.48938 | − | 10.3589i | −0.0575829 | − | 0.400498i | ||||
\(670\) | −14.5648 | + | 31.8924i | −0.562687 | + | 1.23211i | ||||
\(671\) | 14.9800 | − | 4.39853i | 0.578298 | − | 0.169804i | ||||
\(672\) | 0.898983 | − | 1.03748i | 0.0346790 | − | 0.0400217i | ||||
\(673\) | 14.9057 | + | 4.37671i | 0.574573 | + | 0.168710i | 0.556094 | − | 0.831119i | \(-0.312299\pi\) |
0.0184791 | + | 0.999829i | \(0.494118\pi\) | |||||||
\(674\) | 15.1014 | − | 9.70506i | 0.581683 | − | 0.373825i | ||||
\(675\) | 2.23913 | + | 4.90301i | 0.0861842 | + | 0.188717i | ||||
\(676\) | 4.74786 | + | 5.47932i | 0.182610 | + | 0.210743i | ||||
\(677\) | 25.7202 | + | 16.5294i | 0.988509 | + | 0.635276i | 0.931746 | − | 0.363112i | \(-0.118286\pi\) |
0.0567630 | + | 0.998388i | \(0.481922\pi\) | |||||||
\(678\) | 1.86023 | − | 12.9382i | 0.0714417 | − | 0.496888i | ||||
\(679\) | 0.177451 | − | 1.23420i | 0.00680995 | − | 0.0473643i | ||||
\(680\) | −9.59601 | − | 6.16698i | −0.367990 | − | 0.236493i | ||||
\(681\) | 25.7856 | + | 29.7582i | 0.988107 | + | 1.14034i | ||||
\(682\) | 0.430955 | + | 0.943661i | 0.0165021 | + | 0.0361346i | ||||
\(683\) | −19.9227 | + | 12.8036i | −0.762323 | + | 0.489915i | −0.863124 | − | 0.504992i | \(-0.831496\pi\) |
0.100802 | + | 0.994907i | \(0.467859\pi\) | |||||||
\(684\) | −1.24302 | − | 0.364983i | −0.0475279 | − | 0.0139555i | ||||
\(685\) | 13.4928 | − | 15.5715i | 0.515534 | − | 0.594958i | ||||
\(686\) | −0.959493 | + | 0.281733i | −0.0366336 | + | 0.0107566i | ||||
\(687\) | −4.07944 | + | 8.93272i | −0.155640 | + | 0.340805i | ||||
\(688\) | −0.786752 | − | 5.47198i | −0.0299946 | − | 0.208617i | ||||
\(689\) | 23.6498 | 0.900986 | ||||||||
\(690\) | −3.74239 | + | 15.6227i | −0.142470 | + | 0.594747i | ||||
\(691\) | 18.5518 | 0.705745 | 0.352873 | − | 0.935671i | \(-0.385205\pi\) | ||||
0.352873 | + | 0.935671i | \(0.385205\pi\) | |||||||
\(692\) | −2.98685 | − | 20.7740i | −0.113543 | − | 0.789709i | ||||
\(693\) | −0.799200 | + | 1.75000i | −0.0303591 | + | 0.0664772i | ||||
\(694\) | −13.8783 | + | 4.07504i | −0.526813 | + | 0.154686i | ||||
\(695\) | 14.7076 | − | 16.9735i | 0.557891 | − | 0.643840i | ||||
\(696\) | 6.92310 | + | 2.03281i | 0.262420 | + | 0.0770533i | ||||
\(697\) | 49.1555 | − | 31.5903i | 1.86190 | − | 1.19657i | ||||
\(698\) | 14.6274 | + | 32.0295i | 0.553654 | + | 1.21233i | ||||
\(699\) | −11.9540 | − | 13.7957i | −0.452142 | − | 0.521800i | ||||
\(700\) | −0.802607 | − | 0.515804i | −0.0303357 | − | 0.0194956i | ||||
\(701\) | −2.27716 | + | 15.8380i | −0.0860072 | + | 0.598193i | 0.900547 | + | 0.434759i | \(0.143166\pi\) |
−0.986554 | + | 0.163435i | \(0.947743\pi\) | |||||||
\(702\) | −1.92796 | + | 13.4093i | −0.0727662 | + | 0.506100i | ||||
\(703\) | 7.87181 | + | 5.05891i | 0.296891 | + | 0.190800i | ||||
\(704\) | 1.12945 | + | 1.30346i | 0.0425679 | + | 0.0491260i | ||||
\(705\) | −8.65916 | − | 18.9609i | −0.326123 | − | 0.714109i | ||||
\(706\) | 21.3994 | − | 13.7526i | 0.805377 | − | 0.517584i | ||||
\(707\) | −6.69942 | − | 1.96713i | −0.251957 | − | 0.0739814i | ||||
\(708\) | 3.69200 | − | 4.26080i | 0.138754 | − | 0.160131i | ||||
\(709\) | 29.3401 | − | 8.61502i | 1.10189 | − | 0.323544i | 0.320287 | − | 0.947321i | \(-0.396221\pi\) |
0.781603 | + | 0.623777i | \(0.214403\pi\) | |||||||
\(710\) | 9.46444 | − | 20.7242i | 0.355194 | − | 0.777767i | ||||
\(711\) | 1.15969 | + | 8.06582i | 0.0434918 | + | 0.302492i | ||||
\(712\) | 4.82741 | 0.180915 | ||||||||
\(713\) | −2.68110 | − | 1.06440i | −0.100408 | − | 0.0398620i | ||||
\(714\) | −6.41741 | −0.240166 | ||||||||
\(715\) | −1.43616 | − | 9.98873i | −0.0537094 | − | 0.373557i | ||||
\(716\) | −2.65313 | + | 5.80954i | −0.0991521 | + | 0.217113i | ||||
\(717\) | −37.3879 | + | 10.9781i | −1.39628 | + | 0.409983i | ||||
\(718\) | 6.82436 | − | 7.87573i | 0.254683 | − | 0.293920i | ||||
\(719\) | 44.1149 | + | 12.9533i | 1.64521 | + | 0.483077i | 0.967630 | − | 0.252373i | \(-0.0812111\pi\) |
0.677579 | + | 0.735450i | \(0.263029\pi\) | |||||||
\(720\) | −2.28975 | + | 1.47153i | −0.0853338 | + | 0.0548407i | ||||
\(721\) | 1.34386 | + | 2.94265i | 0.0500480 | + | 0.109590i | ||||
\(722\) | −11.5590 | − | 13.3399i | −0.430183 | − | 0.496458i | ||||
\(723\) | 14.8473 | + | 9.54178i | 0.552177 | + | 0.354863i | ||||
\(724\) | −1.95502 | + | 13.5974i | −0.0726576 | + | 0.505345i | ||||
\(725\) | 0.713646 | − | 4.96352i | 0.0265041 | − | 0.184340i | ||||
\(726\) | −9.26813 | − | 5.95627i | −0.343973 | − | 0.221058i | ||||
\(727\) | 1.30281 | + | 1.50352i | 0.0483185 | + | 0.0557625i | 0.779394 | − | 0.626534i | \(-0.215527\pi\) |
−0.731076 | + | 0.682296i | \(0.760981\pi\) | |||||||
\(728\) | −0.996114 | − | 2.18119i | −0.0369185 | − | 0.0808401i | ||||
\(729\) | 23.7113 | − | 15.2384i | 0.878198 | − | 0.564383i | ||||
\(730\) | 7.45723 | + | 2.18964i | 0.276004 | + | 0.0810422i | ||||
\(731\) | −16.9236 | + | 19.5309i | −0.625943 | + | 0.722377i | ||||
\(732\) | 11.9233 | − | 3.50099i | 0.440697 | − | 0.129400i | ||||
\(733\) | 5.94427 | − | 13.0161i | 0.219557 | − | 0.480762i | −0.767517 | − | 0.641028i | \(-0.778508\pi\) |
0.987074 | + | 0.160266i | \(0.0512354\pi\) | |||||||
\(734\) | 2.38601 | + | 16.5951i | 0.0880694 | + | 0.612536i | ||||
\(735\) | −3.34973 | −0.123557 | ||||||||
\(736\) | −4.77541 | − | 0.442111i | −0.176024 | − | 0.0162964i | ||||
\(737\) | −24.7819 | −0.912854 | ||||||||
\(738\) | −1.98423 | − | 13.8006i | −0.0730406 | − | 0.508008i | ||||
\(739\) | −12.6437 | + | 27.6859i | −0.465107 | + | 1.01844i | 0.521187 | + | 0.853443i | \(0.325489\pi\) |
−0.986294 | + | 0.164999i | \(0.947238\pi\) | |||||||
\(740\) | 18.8632 | − | 5.53873i | 0.693425 | − | 0.203608i | ||||
\(741\) | 2.50357 | − | 2.88927i | 0.0919710 | − | 0.106140i | ||||
\(742\) | 9.46330 | + | 2.77867i | 0.347408 | + | 0.102008i | ||||
\(743\) | −34.2066 | + | 21.9832i | −1.25492 | + | 0.806487i | −0.987580 | − | 0.157116i | \(-0.949780\pi\) |
−0.267338 | + | 0.963603i | \(0.586144\pi\) | |||||||
\(744\) | 0.343017 | + | 0.751102i | 0.0125756 | + | 0.0275367i | ||||
\(745\) | 27.4135 | + | 31.6369i | 1.00435 | + | 1.15909i | ||||
\(746\) | −2.64657 | − | 1.70084i | −0.0968977 | − | 0.0622724i | ||||
\(747\) | −0.646231 | + | 4.49463i | −0.0236443 | + | 0.164450i | ||||
\(748\) | 1.14743 | − | 7.98056i | 0.0419543 | − | 0.291798i | ||||
\(749\) | 10.8257 | + | 6.95725i | 0.395562 | + | 0.254212i | ||||
\(750\) | 8.87519 | + | 10.2425i | 0.324076 | + | 0.374004i | ||||
\(751\) | −11.7173 | − | 25.6574i | −0.427571 | − | 0.936250i | −0.993715 | − | 0.111943i | \(-0.964292\pi\) |
0.566143 | − | 0.824307i | \(-0.308435\pi\) | |||||||
\(752\) | 5.23493 | − | 3.36429i | 0.190898 | − | 0.122683i | ||||
\(753\) | −13.7673 | − | 4.04245i | −0.501709 | − | 0.147315i | ||||
\(754\) | 8.25339 | − | 9.52492i | 0.300571 | − | 0.346877i | ||||
\(755\) | −12.8760 | + | 3.78074i | −0.468607 | + | 0.137595i | ||||
\(756\) | −2.34695 | + | 5.13910i | −0.0853576 | + | 0.186907i | ||||
\(757\) | 6.81874 | + | 47.4254i | 0.247831 | + | 1.72370i | 0.610698 | + | 0.791863i | \(0.290889\pi\) |
−0.362867 | + | 0.931841i | \(0.618202\pi\) | |||||||
\(758\) | −20.0381 | −0.727816 | ||||||||
\(759\) | −11.1435 | + | 2.18107i | −0.404485 | + | 0.0791678i | ||||
\(760\) | 2.83392 | 0.102797 | ||||||||
\(761\) | −0.686432 | − | 4.77424i | −0.0248831 | − | 0.173066i | 0.973590 | − | 0.228303i | \(-0.0733177\pi\) |
−0.998473 | + | 0.0552370i | \(0.982409\pi\) | |||||||
\(762\) | −3.90674 | + | 8.55457i | −0.141526 | + | 0.309899i | ||||
\(763\) | −1.40057 | + | 0.411246i | −0.0507042 | + | 0.0148881i | ||||
\(764\) | 10.2506 | − | 11.8299i | 0.370855 | − | 0.427990i | ||||
\(765\) | 12.2084 | + | 3.58471i | 0.441396 | + | 0.129606i | ||||
\(766\) | −2.50300 | + | 1.60858i | −0.0904371 | + | 0.0581204i | ||||
\(767\) | −4.09091 | − | 8.95783i | −0.147714 | − | 0.323449i | ||||
\(768\) | 0.898983 | + | 1.03748i | 0.0324393 | + | 0.0374369i | ||||
\(769\) | −35.3506 | − | 22.7185i | −1.27478 | − | 0.819249i | −0.284542 | − | 0.958664i | \(-0.591841\pi\) |
−0.990234 | + | 0.139415i | \(0.955478\pi\) | |||||||
\(770\) | 0.598931 | − | 4.16565i | 0.0215840 | − | 0.150120i | ||||
\(771\) | −1.83405 | + | 12.7561i | −0.0660515 | + | 0.459398i | ||||
\(772\) | −12.9273 | − | 8.30785i | −0.465262 | − | 0.299006i | ||||
\(773\) | −16.5353 | − | 19.0828i | −0.594735 | − | 0.686361i | 0.375971 | − | 0.926631i | \(-0.377309\pi\) |
−0.970706 | + | 0.240271i | \(0.922764\pi\) | |||||||
\(774\) | 2.56167 | + | 5.60928i | 0.0920775 | + | 0.201621i | ||||
\(775\) | 0.482763 | − | 0.310253i | 0.0173413 | − | 0.0111446i | ||||
\(776\) | 1.19638 | + | 0.351290i | 0.0429477 | + | 0.0126106i | ||||
\(777\) | 7.24300 | − | 8.35886i | 0.259841 | − | 0.299873i | ||||
\(778\) | 33.4992 | − | 9.83624i | 1.20100 | − | 0.352646i | ||||
\(779\) | −6.03048 | + | 13.2049i | −0.216064 | + | 0.473115i | ||||
\(780\) | −1.14311 | − | 7.95048i | −0.0409298 | − | 0.284673i | ||||
\(781\) | 16.1037 | 0.576236 | ||||||||
\(782\) | 13.0570 | + | 18.2246i | 0.466918 | + | 0.651711i | ||||
\(783\) | −29.6946 | −1.06120 | ||||||||
\(784\) | −0.142315 | − | 0.989821i | −0.00508267 | − | 0.0353508i | ||||
\(785\) | −10.3419 | + | 22.6456i | −0.369118 | + | 0.808256i | ||||
\(786\) | −20.8979 | + | 6.13618i | −0.745404 | + | 0.218870i | ||||
\(787\) | −11.1158 | + | 12.8283i | −0.396236 | + | 0.457281i | −0.918452 | − | 0.395533i | \(-0.870560\pi\) |
0.522216 | + | 0.852813i | \(0.325105\pi\) | |||||||
\(788\) | −10.4780 | − | 3.07663i | −0.373264 | − | 0.109600i | ||||
\(789\) | −23.6825 | + | 15.2198i | −0.843119 | + | 0.541840i | ||||
\(790\) | −7.40503 | − | 16.2148i | −0.263459 | − | 0.576895i | ||||
\(791\) | −6.23538 | − | 7.19601i | −0.221705 | − | 0.255861i | ||||
\(792\) | −1.61845 | − | 1.04012i | −0.0575093 | − | 0.0369590i | ||||
\(793\) | 3.08907 | − | 21.4850i | 0.109696 | − | 0.762954i | ||||
\(794\) | 5.25029 | − | 36.5165i | 0.186326 | − | 1.29592i | ||||
\(795\) | 27.7931 | + | 17.8615i | 0.985719 | + | 0.633483i | ||||
\(796\) | 10.9820 | + | 12.6740i | 0.389248 | + | 0.449216i | ||||
\(797\) | 7.84819 | + | 17.1851i | 0.277997 | + | 0.608729i | 0.996199 | − | 0.0871058i | \(-0.0277618\pi\) |
−0.718202 | + | 0.695835i | \(0.755035\pi\) | |||||||
\(798\) | 1.34125 | − | 0.861971i | 0.0474799 | − | 0.0305135i | ||||
\(799\) | −27.9115 | − | 8.19555i | −0.987437 | − | 0.289938i | ||||
\(800\) | 0.624777 | − | 0.721031i | 0.0220892 | − | 0.0254923i | ||||
\(801\) | −5.16666 | + | 1.51707i | −0.182555 | + | 0.0536030i | ||||
\(802\) | −3.00264 | + | 6.57487i | −0.106027 | + | 0.232167i | ||||
\(803\) | 0.781805 | + | 5.43758i | 0.0275893 | + | 0.191888i | ||||
\(804\) | −19.7250 | −0.695649 | ||||||||
\(805\) | 6.81543 | + | 9.51279i | 0.240213 | + | 0.335282i | ||||
\(806\) | 1.44231 | 0.0508031 | ||||||||
\(807\) | 2.00155 | + | 13.9211i | 0.0704580 | + | 0.490046i | ||||
\(808\) | 2.90053 | − | 6.35127i | 0.102040 | − | 0.223437i | ||||
\(809\) | 9.13723 | − | 2.68293i | 0.321248 | − | 0.0943269i | −0.117133 | − | 0.993116i | \(-0.537370\pi\) |
0.438381 | + | 0.898789i | \(0.355552\pi\) | |||||||
\(810\) | −7.04583 | + | 8.13132i | −0.247565 | + | 0.285706i | ||||
\(811\) | 9.74369 | + | 2.86101i | 0.342147 | + | 0.100463i | 0.448292 | − | 0.893887i | \(-0.352033\pi\) |
−0.106145 | + | 0.994351i | \(0.533851\pi\) | |||||||
\(812\) | 4.42164 | − | 2.84161i | 0.155169 | − | 0.0997211i | ||||
\(813\) | −7.33548 | − | 16.0625i | −0.257267 | − | 0.563335i | ||||
\(814\) | 9.09987 | + | 10.5018i | 0.318950 | + | 0.368088i | ||||
\(815\) | 8.39332 | + | 5.39406i | 0.294005 | + | 0.188946i | ||||
\(816\) | 0.913293 | − | 6.35209i | 0.0319716 | − | 0.222368i | ||||
\(817\) | 0.913733 | − | 6.35515i | 0.0319675 | − | 0.222339i | ||||
\(818\) | 28.2277 | + | 18.1409i | 0.986960 | + | 0.634281i | ||||
\(819\) | 1.75158 | + | 2.02143i | 0.0612051 | + | 0.0706345i | ||||
\(820\) | 12.6700 | + | 27.7435i | 0.442456 | + | 0.968844i | ||||
\(821\) | −39.4304 | + | 25.3404i | −1.37613 | + | 0.884386i | −0.999125 | − | 0.0418243i | \(-0.986683\pi\) |
−0.377007 | + | 0.926210i | \(0.623047\pi\) | |||||||
\(822\) | 11.1222 | + | 3.26578i | 0.387932 | + | 0.113907i | ||||
\(823\) | −32.3256 | + | 37.3058i | −1.12680 | + | 1.30040i | −0.178175 | + | 0.983999i | \(0.557019\pi\) |
−0.948626 | + | 0.316399i | \(0.897526\pi\) | |||||||
\(824\) | −3.10395 | + | 0.911401i | −0.108131 | + | 0.0317501i | ||||
\(825\) | 0.938384 | − | 2.05478i | 0.0326704 | − | 0.0715381i | ||||
\(826\) | −0.584468 | − | 4.06506i | −0.0203362 | − | 0.141442i | ||||
\(827\) | 19.4439 | 0.676130 | 0.338065 | − | 0.941123i | \(-0.390228\pi\) | ||||
0.338065 | + | 0.941123i | \(0.390228\pi\) | |||||||
\(828\) | 5.24994 | − | 1.02755i | 0.182448 | − | 0.0357097i | ||||
\(829\) | −8.95771 | −0.311114 | −0.155557 | − | 0.987827i | \(-0.549717\pi\) | ||||
−0.155557 | + | 0.987827i | \(0.549717\pi\) | |||||||
\(830\) | −1.41365 | − | 9.83212i | −0.0490683 | − | 0.341278i | ||||
\(831\) | −2.76297 | + | 6.05005i | −0.0958462 | + | 0.209874i | ||||
\(832\) | 2.30075 | − | 0.675560i | 0.0797640 | − | 0.0234208i | ||||
\(833\) | −3.06130 | + | 3.53293i | −0.106068 | + | 0.122409i | ||||
\(834\) | 12.1236 | + | 3.55980i | 0.419805 | + | 0.123266i | ||||
\(835\) | 0.475642 | − | 0.305677i | 0.0164603 | − | 0.0105784i | ||||
\(836\) | 0.832115 | + | 1.82208i | 0.0287793 | + | 0.0630178i | ||||
\(837\) | −2.22536 | − | 2.56820i | −0.0769198 | − | 0.0887701i | ||||
\(838\) | 13.2269 | + | 8.50044i | 0.456917 | + | 0.293643i | ||||
\(839\) | −2.92458 | + | 20.3409i | −0.100968 | + | 0.702245i | 0.874967 | + | 0.484182i | \(0.160883\pi\) |
−0.975935 | + | 0.218063i | \(0.930026\pi\) | |||||||
\(840\) | 0.476716 | − | 3.31563i | 0.0164483 | − | 0.114400i | ||||
\(841\) | −1.15617 | − | 0.743028i | −0.0398681 | − | 0.0256216i | ||||
\(842\) | −9.95595 | − | 11.4898i | −0.343105 | − | 0.395964i | ||||
\(843\) | −7.22910 | − | 15.8295i | −0.248983 | − | 0.545198i | ||||
\(844\) | 2.33713 | − | 1.50198i | 0.0804472 | − | 0.0517003i | ||||
\(845\) | 16.9745 | + | 4.98417i | 0.583941 | + | 0.171461i | ||||
\(846\) | −4.54555 | + | 5.24585i | −0.156279 | + | 0.180356i | ||||
\(847\) | −7.70024 | + | 2.26100i | −0.264584 | + | 0.0776887i | ||||
\(848\) | −4.09716 | + | 8.97153i | −0.140697 | + | 0.308083i | ||||
\(849\) | 1.36308 | + | 9.48045i | 0.0467809 | + | 0.325368i | ||||
\(850\) | −4.45998 | −0.152976 | ||||||||
\(851\) | −38.4749 | − | 3.56204i | −1.31890 | − | 0.122105i | ||||
\(852\) | 12.8177 | 0.439126 | ||||||||
\(853\) | 4.07327 | + | 28.3302i | 0.139466 | + | 0.970009i | 0.932587 | + | 0.360945i | \(0.117546\pi\) |
−0.793121 | + | 0.609064i | \(0.791545\pi\) | |||||||
\(854\) | 3.76039 | − | 8.23412i | 0.128678 | − | 0.281766i | ||||
\(855\) | −3.03308 | + | 0.890592i | −0.103729 | + | 0.0304576i | ||||
\(856\) | −8.42709 | + | 9.72538i | −0.288032 | + | 0.332407i | ||||
\(857\) | 26.3909 | + | 7.74906i | 0.901495 | + | 0.264703i | 0.699457 | − | 0.714675i | \(-0.253425\pi\) |
0.202038 | + | 0.979378i | \(0.435243\pi\) | |||||||
\(858\) | 4.77613 | − | 3.06943i | 0.163054 | − | 0.104789i | ||||
\(859\) | −9.25592 | − | 20.2676i | −0.315808 | − | 0.691523i | 0.683452 | − | 0.729996i | \(-0.260478\pi\) |
−0.999260 | + | 0.0384726i | \(0.987751\pi\) | |||||||
\(860\) | −8.83371 | − | 10.1946i | −0.301227 | − | 0.347635i | ||||
\(861\) | 14.4350 | + | 9.27684i | 0.491945 | + | 0.316154i | ||||
\(862\) | 4.58485 | − | 31.8884i | 0.156161 | − | 1.08612i | ||||
\(863\) | 3.21348 | − | 22.3503i | 0.109388 | − | 0.760811i | −0.859110 | − | 0.511791i | \(-0.828982\pi\) |
0.968498 | − | 0.249021i | \(-0.0801087\pi\) | |||||||
\(864\) | −4.75278 | − | 3.05443i | −0.161693 | − | 0.103914i | ||||
\(865\) | −33.5366 | − | 38.7033i | −1.14028 | − | 1.31595i | ||||
\(866\) | −5.84366 | − | 12.7958i | −0.198576 | − | 0.434820i | ||||
\(867\) | −5.60472 | + | 3.60193i | −0.190346 | + | 0.122328i | ||||
\(868\) | 0.577128 | + | 0.169460i | 0.0195890 | + | 0.00575185i | ||||
\(869\) | 8.25100 | − | 9.52216i | 0.279896 | − | 0.323017i | ||||
\(870\) | 16.8930 | − | 4.96024i | 0.572727 | − | 0.168168i | ||||
\(871\) | −14.3128 | + | 31.3407i | −0.484971 | + | 1.06194i | ||||
\(872\) | −0.207737 | − | 1.44485i | −0.00703488 | − | 0.0489286i | ||||
\(873\) | −1.39086 | −0.0470734 | ||||||||
\(874\) | −5.17683 | − | 2.05520i | −0.175109 | − | 0.0695182i | ||||
\(875\) | 9.87247 | 0.333751 | ||||||||
\(876\) | 0.622274 | + | 4.32801i | 0.0210247 | + | 0.146230i | ||||
\(877\) | 5.09453 | − | 11.1555i | 0.172030 | − | 0.376693i | −0.803904 | − | 0.594759i | \(-0.797247\pi\) |
0.975934 | + | 0.218066i | \(0.0699747\pi\) | |||||||
\(878\) | 3.82946 | − | 1.12443i | 0.129238 | − | 0.0379477i | ||||
\(879\) | −9.41301 | + | 10.8632i | −0.317493 | + | 0.366406i | ||||
\(880\) | 4.03802 | + | 1.18567i | 0.136122 | + | 0.0399689i | ||||
\(881\) | −11.1979 | + | 7.19642i | −0.377265 | + | 0.242454i | −0.715507 | − | 0.698606i | \(-0.753804\pi\) |
0.338242 | + | 0.941059i | \(0.390168\pi\) | |||||||
\(882\) | 0.463379 | + | 1.01466i | 0.0156028 | + | 0.0341653i | ||||
\(883\) | −13.5336 | − | 15.6186i | −0.455442 | − | 0.525609i | 0.480863 | − | 0.876796i | \(-0.340324\pi\) |
−0.936305 | + | 0.351187i | \(0.885778\pi\) | |||||||
\(884\) | −9.42998 | − | 6.06028i | −0.317165 | − | 0.203829i | ||||
\(885\) | 1.95781 | − | 13.6168i | 0.0658110 | − | 0.457725i | ||||
\(886\) | 5.16855 | − | 35.9481i | 0.173641 | − | 1.20770i | ||||
\(887\) | −23.9409 | − | 15.3859i | −0.803856 | − | 0.516607i | 0.0730163 | − | 0.997331i | \(-0.476737\pi\) |
−0.876872 | + | 0.480724i | \(0.840374\pi\) | |||||||
\(888\) | 7.24300 | + | 8.35886i | 0.243059 | + | 0.280505i | ||||
\(889\) | 2.84585 | + | 6.23154i | 0.0954467 | + | 0.208999i | ||||
\(890\) | 9.90941 | − | 6.36839i | 0.332164 | − | 0.213469i | ||||
\(891\) | −7.29689 | − | 2.14256i | −0.244455 | − | 0.0717785i | ||||
\(892\) | 4.99232 | − | 5.76144i | 0.167155 | − | 0.192907i | ||||
\(893\) | 6.93437 | − | 2.03612i | 0.232050 | − | 0.0681360i | ||||
\(894\) | −9.78350 | + | 21.4229i | −0.327209 | + | 0.716488i | ||||
\(895\) | 2.21785 | + | 15.4255i | 0.0741347 | + | 0.515618i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −3.67764 | + | 15.3524i | −0.122793 | + | 0.512603i | ||||
\(898\) | 16.2509 | 0.542298 | ||||||||
\(899\) | 0.449922 | + | 3.12927i | 0.0150057 | + | 0.104367i | ||||
\(900\) | −0.442092 | + | 0.968046i | −0.0147364 | + | 0.0322682i | ||||
\(901\) | 44.2384 | − | 12.9896i | 1.47379 | − | 0.432745i | ||||
\(902\) | −14.1175 | + | 16.2924i | −0.470060 | + | 0.542479i | ||||
\(903\) | −7.28169 | − | 2.13810i | −0.242319 | − | 0.0711514i | ||||
\(904\) | 8.01015 | − | 5.14781i | 0.266414 | − | 0.171214i | ||||
\(905\) | 13.9248 | + | 30.4911i | 0.462876 | + | 1.01356i | ||||
\(906\) | −4.94408 | − | 5.70577i | −0.164256 | − | 0.189562i | ||||
\(907\) | 24.0963 | + | 15.4858i | 0.800106 | + | 0.514197i | 0.875650 | − | 0.482946i | \(-0.160433\pi\) |
−0.0755447 | + | 0.997142i | \(0.524070\pi\) | |||||||
\(908\) | −4.08203 | + | 28.3911i | −0.135467 | + | 0.942193i | ||||
\(909\) | −1.10841 | + | 7.70914i | −0.0367635 | + | 0.255696i | ||||
\(910\) | −4.92221 | − | 3.16332i | −0.163170 | − | 0.104863i | ||||
\(911\) | 3.65917 | + | 4.22291i | 0.121234 | + | 0.139911i | 0.813122 | − | 0.582094i | \(-0.197766\pi\) |
−0.691888 | + | 0.722005i | \(0.743221\pi\) | |||||||
\(912\) | 0.662317 | + | 1.45027i | 0.0219315 | + | 0.0480233i | ||||
\(913\) | 5.90650 | − | 3.79588i | 0.195477 | − | 0.125625i | ||||
\(914\) | −39.0679 | − | 11.4714i | −1.29225 | − | 0.379439i | ||||
\(915\) | 19.8568 | − | 22.9160i | 0.656446 | − | 0.757579i | ||||
\(916\) | −6.86368 | + | 2.01536i | −0.226782 | + | 0.0665893i | ||||
\(917\) | −6.59084 | + | 14.4319i | −0.217649 | + | 0.476584i | ||||
\(918\) | 3.75862 | + | 26.1418i | 0.124053 | + | 0.862807i | ||||
\(919\) | 1.00321 | 0.0330928 | 0.0165464 | − | 0.999863i | \(-0.494733\pi\) | ||||
0.0165464 | + | 0.999863i | \(0.494733\pi\) | |||||||
\(920\) | −10.3859 | + | 5.39225i | −0.342413 | + | 0.177777i | ||||
\(921\) | −35.4292 | −1.16743 | ||||||||
\(922\) | −4.85434 | − | 33.7626i | −0.159869 | − | 1.11191i | ||||
\(923\) | 9.30069 | − | 20.3657i | 0.306136 | − | 0.670344i | ||||
\(924\) | 2.27177 | − | 0.667052i | 0.0747357 | − | 0.0219444i | ||||
\(925\) | 5.03375 | − | 5.80926i | 0.165509 | − | 0.191007i | ||||
\(926\) | −38.9100 | − | 11.4250i | −1.27866 | − | 0.375449i | ||||
\(927\) | 3.03566 | − | 1.95090i | 0.0997041 | − | 0.0640760i | ||||
\(928\) | 2.18343 | + | 4.78104i | 0.0716745 | + | 0.156945i | ||||
\(929\) | −27.2164 | − | 31.4094i | −0.892941 | − | 1.03051i | −0.999345 | − | 0.0361856i | \(-0.988479\pi\) |
0.106404 | − | 0.994323i | \(-0.466066\pi\) | |||||||
\(930\) | 1.69499 | + | 1.08930i | 0.0555809 | + | 0.0357197i | ||||
\(931\) | 0.165284 | − | 1.14958i | 0.00541697 | − | 0.0376759i | ||||
\(932\) | 1.89240 | − | 13.1619i | 0.0619875 | − | 0.431133i | ||||
\(933\) | −15.6485 | − | 10.0567i | −0.512309 | − | 0.329241i | ||||
\(934\) | −20.2093 | − | 23.3227i | −0.661267 | − | 0.763143i | ||||
\(935\) | −8.17270 | − | 17.8957i | −0.267276 | − | 0.585252i | ||||
\(936\) | −2.25013 | + | 1.44607i | −0.0735478 | + | 0.0472663i | ||||
\(937\) | −6.01570 | − | 1.76637i | −0.196524 | − | 0.0577047i | 0.181989 | − | 0.983301i | \(-0.441746\pi\) |
−0.378513 | + | 0.925596i | \(0.623565\pi\) | |||||||
\(938\) | −9.40945 | + | 10.8591i | −0.307229 | + | 0.354562i | ||||
\(939\) | −41.3839 | + | 12.1514i | −1.35051 | + | 0.396546i | ||||
\(940\) | 6.30773 | − | 13.8120i | 0.205735 | − | 0.450498i | ||||
\(941\) | 0.779520 | + | 5.42168i | 0.0254116 | + | 0.176742i | 0.998575 | − | 0.0533756i | \(-0.0169981\pi\) |
−0.973163 | + | 0.230117i | \(0.926089\pi\) | |||||||
\(942\) | −14.0060 | −0.456340 | ||||||||
\(943\) | −3.02485 | − | 59.8685i | −0.0985027 | − | 1.94959i | ||||
\(944\) | 4.10686 | 0.133667 | ||||||||
\(945\) | 1.96190 | + | 13.6453i | 0.0638208 | + | 0.443883i | ||||
\(946\) | 3.96086 | − | 8.67307i | 0.128779 | − | 0.281986i | ||||
\(947\) | 11.9940 | − | 3.52176i | 0.389753 | − | 0.114442i | −0.0809840 | − | 0.996715i | \(-0.525806\pi\) |
0.470737 | + | 0.882274i | \(0.343988\pi\) | |||||||
\(948\) | 6.56734 | − | 7.57912i | 0.213297 | − | 0.246158i | ||||
\(949\) | 7.32821 | + | 2.15176i | 0.237884 | + | 0.0698489i | ||||
\(950\) | 0.932147 | − | 0.599054i | 0.0302428 | − | 0.0194359i | ||||
\(951\) | −1.17240 | − | 2.56720i | −0.0380176 | − | 0.0832470i | ||||
\(952\) | −3.06130 | − | 3.53293i | −0.0992173 | − | 0.114503i | ||||
\(953\) | 17.5075 | + | 11.2514i | 0.567122 | + | 0.364467i | 0.792563 | − | 0.609790i | \(-0.208746\pi\) |
−0.225441 | + | 0.974257i | \(0.572382\pi\) | |||||||
\(954\) | 1.56569 | − | 10.8896i | 0.0506910 | − | 0.352563i | ||||
\(955\) | 5.43575 | − | 37.8064i | 0.175897 | − | 1.22339i | ||||
\(956\) | −23.8788 | − | 15.3460i | −0.772297 | − | 0.496325i | ||||
\(957\) | 8.14944 | + | 9.40495i | 0.263434 | + | 0.304019i | ||||
\(958\) | −0.772335 | − | 1.69118i | −0.0249530 | − | 0.0546395i | ||||
\(959\) | 7.10353 | − | 4.56516i | 0.229385 | − | 0.147417i | ||||
\(960\) | 3.21404 | + | 0.943727i | 0.103733 | + | 0.0304587i | ||||
\(961\) | 20.0638 | − | 23.1548i | 0.647218 | − | 0.746929i | ||||
\(962\) | 18.5368 | − | 5.44290i | 0.597651 | − | 0.175486i | ||||
\(963\) | 5.96300 | − | 13.0571i | 0.192155 | − | 0.420760i | ||||
\(964\) | 1.82965 | + | 12.7255i | 0.0589290 | + | 0.409861i | ||||
\(965\) | −37.4961 | −1.20704 | ||||||||
\(966\) | −3.27538 | + | 5.71107i | −0.105384 | + | 0.183751i | ||||
\(967\) | 29.0368 | 0.933761 | 0.466881 | − | 0.884320i | \(-0.345378\pi\) | ||||
0.466881 | + | 0.884320i | \(0.345378\pi\) | |||||||
\(968\) | −1.14212 | − | 7.94364i | −0.0367092 | − | 0.255318i | ||||
\(969\) | 3.09616 | − | 6.77964i | 0.0994629 | − | 0.217793i | ||||
\(970\) | 2.91929 | − | 0.857181i | 0.0937328 | − | 0.0275224i | ||||
\(971\) | 5.09296 | − | 5.87759i | 0.163441 | − | 0.188621i | −0.668122 | − | 0.744052i | \(-0.732901\pi\) |
0.831562 | + | 0.555431i | \(0.187447\pi\) | |||||||
\(972\) | 10.4545 | + | 3.06970i | 0.335327 | + | 0.0984608i | ||||
\(973\) | 7.74306 | − | 4.97616i | 0.248231 | − | 0.159528i | ||||
\(974\) | 2.28717 | + | 5.00820i | 0.0732857 | + | 0.160473i | ||||
\(975\) | −2.05662 | − | 2.37347i | −0.0658647 | − | 0.0760119i | ||||
\(976\) | 7.61514 | + | 4.89396i | 0.243755 | + | 0.156652i | ||||
\(977\) | 0.617531 | − | 4.29503i | 0.0197566 | − | 0.137410i | −0.977556 | − | 0.210677i | \(-0.932433\pi\) |
0.997312 | + | 0.0732666i | \(0.0233424\pi\) | |||||||
\(978\) | −0.798828 | + | 5.55597i | −0.0255437 | + | 0.177660i | ||||
\(979\) | 7.00424 | + | 4.50135i | 0.223856 | + | 0.143864i | ||||
\(980\) | −1.59792 | − | 1.84410i | −0.0510437 | − | 0.0589076i | ||||
\(981\) | 0.676395 | + | 1.48110i | 0.0215956 | + | 0.0472879i | ||||
\(982\) | 34.3098 | − | 22.0496i | 1.09487 | − | 0.703631i | ||||
\(983\) | −31.7505 | − | 9.32279i | −1.01268 | − | 0.297351i | −0.267033 | − | 0.963687i | \(-0.586043\pi\) |
−0.745651 | + | 0.666337i | \(0.767861\pi\) | |||||||
\(984\) | −11.2367 | + | 12.9679i | −0.358214 | + | 0.413401i | ||||
\(985\) | −25.5674 | + | 7.50726i | −0.814644 | + | 0.239201i | ||||
\(986\) | 10.2069 | − | 22.3501i | 0.325055 | − | 0.711772i | ||||
\(987\) | −1.21573 | − | 8.45558i | −0.0386971 | − | 0.269144i | ||||
\(988\) | 2.78489 | 0.0885992 | ||||||||
\(989\) | 8.74358 | + | 25.0293i | 0.278030 | + | 0.795885i | ||||
\(990\) | −4.69440 | −0.149198 | ||||||||
\(991\) | 3.64980 | + | 25.3849i | 0.115940 | + | 0.806379i | 0.961953 | + | 0.273216i | \(0.0880874\pi\) |
−0.846013 | + | 0.533162i | \(0.821003\pi\) | |||||||
\(992\) | −0.249869 | + | 0.547137i | −0.00793336 | + | 0.0173716i | ||||
\(993\) | −24.5158 | + | 7.19848i | −0.777985 | + | 0.228437i | ||||
\(994\) | 6.11442 | − | 7.05641i | 0.193938 | − | 0.223816i | ||||
\(995\) | 39.2629 | + | 11.5286i | 1.24472 | + | 0.365482i | ||||
\(996\) | 4.70125 | − | 3.02131i | 0.148965 | − | 0.0957338i | ||||
\(997\) | −14.2864 | − | 31.2828i | −0.452453 | − | 0.990735i | −0.989143 | − | 0.146955i | \(-0.953053\pi\) |
0.536690 | − | 0.843780i | \(-0.319675\pi\) | |||||||
\(998\) | −20.7724 | − | 23.9726i | −0.657537 | − | 0.758839i | ||||
\(999\) | −38.2926 | − | 24.6091i | −1.21152 | − | 0.778599i |
(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 | 322.2.i.b.141.1 | ✓ | 10 | |
23.8 | even | 11 | inner | 322.2.i.b.169.1 | yes | 10 | |
23.10 | odd | 22 | 7406.2.a.be.1.3 | 5 | |||
23.13 | even | 11 | 7406.2.a.bf.1.3 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.b.141.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
322.2.i.b.169.1 | yes | 10 | 23.8 | even | 11 | inner | |
7406.2.a.be.1.3 | 5 | 23.10 | odd | 22 | |||
7406.2.a.bf.1.3 | 5 | 23.13 | even | 11 |