Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 71.6 | ||
Character | \(\chi\) | \(=\) | 300.71 |
Dual form | 300.2.n.a.131.6 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35693 | + | 0.398416i | −0.959496 | + | 0.281722i | ||||
\(3\) | 0.211607 | + | 1.71908i | 0.122171 | + | 0.992509i | ||||
\(4\) | 1.68253 | − | 1.08125i | 0.841265 | − | 0.540623i | ||||
\(5\) | −0.213026 | − | 2.22590i | −0.0952683 | − | 0.995452i | ||||
\(6\) | −0.972043 | − | 2.24836i | −0.396835 | − | 0.917890i | ||||
\(7\) | 2.98896i | 1.12972i | 0.825186 | + | 0.564861i | \(0.191070\pi\) | ||||
−0.825186 | + | 0.564861i | \(0.808930\pi\) | |||||||
\(8\) | −1.85229 | + | 2.13752i | −0.654885 | + | 0.755729i | ||||
\(9\) | −2.91044 | + | 0.727538i | −0.970148 | + | 0.242513i | ||||
\(10\) | 1.17589 | + | 2.93552i | 0.371851 | + | 0.928293i | ||||
\(11\) | −0.156859 | + | 0.482761i | −0.0472947 | + | 0.145558i | −0.971915 | − | 0.235332i | \(-0.924382\pi\) |
0.924620 | + | 0.380890i | \(0.124382\pi\) | |||||||
\(12\) | 2.21478 | + | 2.66360i | 0.639352 | + | 0.768914i | ||||
\(13\) | 0.990938 | + | 3.04979i | 0.274837 | + | 0.845860i | 0.989263 | + | 0.146149i | \(0.0466880\pi\) |
−0.714426 | + | 0.699711i | \(0.753312\pi\) | |||||||
\(14\) | −1.19085 | − | 4.05582i | −0.318268 | − | 1.08396i | ||||
\(15\) | 3.78141 | − | 0.837224i | 0.976356 | − | 0.216170i | ||||
\(16\) | 1.66181 | − | 3.63846i | 0.415453 | − | 0.909614i | ||||
\(17\) | 1.17100 | + | 1.61174i | 0.284008 | + | 0.390904i | 0.927056 | − | 0.374922i | \(-0.122331\pi\) |
−0.643048 | + | 0.765826i | \(0.722331\pi\) | |||||||
\(18\) | 3.65941 | − | 2.14679i | 0.862532 | − | 0.506002i | ||||
\(19\) | 3.79428 | + | 5.22238i | 0.870468 | + | 1.19810i | 0.978971 | + | 0.204001i | \(0.0653945\pi\) |
−0.108502 | + | 0.994096i | \(0.534606\pi\) | |||||||
\(20\) | −2.76517 | − | 3.51481i | −0.618310 | − | 0.785934i | ||||
\(21\) | −5.13826 | + | 0.632486i | −1.12126 | + | 0.138020i | ||||
\(22\) | 0.0205069 | − | 0.717569i | 0.00437209 | − | 0.152986i | ||||
\(23\) | −0.913467 | + | 2.81136i | −0.190471 | + | 0.586210i | −1.00000 | 0.000870877i | \(-0.999723\pi\) | |
0.809529 | + | 0.587080i | \(0.199723\pi\) | |||||||
\(24\) | −4.06652 | − | 2.73192i | −0.830076 | − | 0.557650i | ||||
\(25\) | −4.90924 | + | 0.948350i | −0.981848 | + | 0.189670i | ||||
\(26\) | −2.55972 | − | 3.74356i | −0.502003 | − | 0.734172i | ||||
\(27\) | −1.86656 | − | 4.84932i | −0.359220 | − | 0.933253i | ||||
\(28\) | 3.23181 | + | 5.02902i | 0.610754 | + | 0.950396i | ||||
\(29\) | −5.48364 | + | 7.54758i | −1.01829 | + | 1.40155i | −0.104888 | + | 0.994484i | \(0.533448\pi\) |
−0.913398 | + | 0.407067i | \(0.866552\pi\) | |||||||
\(30\) | −4.79755 | + | 2.64263i | −0.875909 | + | 0.482476i | ||||
\(31\) | −4.51797 | − | 6.21846i | −0.811452 | − | 1.11687i | −0.991098 | − | 0.133136i | \(-0.957495\pi\) |
0.179646 | − | 0.983731i | \(-0.442505\pi\) | |||||||
\(32\) | −0.805350 | + | 5.59923i | −0.142367 | + | 0.989814i | ||||
\(33\) | −0.863096 | − | 0.167496i | −0.150246 | − | 0.0291574i | ||||
\(34\) | −2.23110 | − | 1.72048i | −0.382631 | − | 0.295059i | ||||
\(35\) | 6.65313 | − | 0.636728i | 1.12458 | − | 0.107627i | ||||
\(36\) | −4.11026 | + | 4.37101i | −0.685044 | + | 0.728502i | ||||
\(37\) | −1.55457 | − | 4.78449i | −0.255570 | − | 0.786565i | −0.993717 | − | 0.111924i | \(-0.964299\pi\) |
0.738146 | − | 0.674641i | \(-0.235701\pi\) | |||||||
\(38\) | −7.22926 | − | 5.57472i | −1.17274 | − | 0.904339i | ||||
\(39\) | −5.03314 | + | 2.34886i | −0.805947 | + | 0.376118i | ||||
\(40\) | 5.15250 | + | 3.66767i | 0.814681 | + | 0.579909i | ||||
\(41\) | 7.57344 | − | 2.46076i | 1.18277 | − | 0.384306i | 0.349376 | − | 0.936982i | \(-0.386393\pi\) |
0.833396 | + | 0.552676i | \(0.186393\pi\) | |||||||
\(42\) | 6.72027 | − | 2.90540i | 1.03696 | − | 0.448314i | ||||
\(43\) | 6.65952i | 1.01557i | 0.861485 | + | 0.507784i | \(0.169535\pi\) | ||||
−0.861485 | + | 0.507784i | \(0.830465\pi\) | |||||||
\(44\) | 0.258064 | + | 0.981863i | 0.0389047 | + | 0.148021i | ||||
\(45\) | 2.23943 | + | 6.32337i | 0.333834 | + | 0.942632i | ||||
\(46\) | 0.119422 | − | 4.17877i | 0.0176078 | − | 0.616126i | ||||
\(47\) | 1.98597 | + | 1.44289i | 0.289684 | + | 0.210467i | 0.723130 | − | 0.690712i | \(-0.242703\pi\) |
−0.433447 | + | 0.901179i | \(0.642703\pi\) | |||||||
\(48\) | 6.60644 | + | 2.08686i | 0.953557 | + | 0.301212i | ||||
\(49\) | −1.93391 | −0.276273 | ||||||||
\(50\) | 6.28367 | − | 3.24276i | 0.888645 | − | 0.458596i | ||||
\(51\) | −2.52291 | + | 2.35409i | −0.353278 | + | 0.329638i | ||||
\(52\) | 4.96486 | + | 4.05992i | 0.688502 | + | 0.563010i | ||||
\(53\) | 5.87637 | − | 8.08813i | 0.807181 | − | 1.11099i | −0.184571 | − | 0.982819i | \(-0.559089\pi\) |
0.991752 | − | 0.128171i | \(-0.0409105\pi\) | |||||||
\(54\) | 4.46485 | + | 5.83654i | 0.607589 | + | 0.794252i | ||||
\(55\) | 1.10799 | + | 0.246310i | 0.149402 | + | 0.0332125i | ||||
\(56\) | −6.38898 | − | 5.53644i | −0.853764 | − | 0.739838i | ||||
\(57\) | −8.17478 | + | 7.62776i | −1.08278 | + | 1.01032i | ||||
\(58\) | 4.43385 | − | 12.4263i | 0.582193 | − | 1.63166i | ||||
\(59\) | 1.00139 | + | 3.08196i | 0.130370 | + | 0.401237i | 0.994841 | − | 0.101445i | \(-0.0323467\pi\) |
−0.864471 | + | 0.502682i | \(0.832347\pi\) | |||||||
\(60\) | 5.45709 | − | 5.49729i | 0.704507 | − | 0.709697i | ||||
\(61\) | 3.34688 | − | 10.3006i | 0.428524 | − | 1.31886i | −0.471056 | − | 0.882103i | \(-0.656127\pi\) |
0.899580 | − | 0.436757i | \(-0.143873\pi\) | |||||||
\(62\) | 8.60811 | + | 6.63799i | 1.09323 | + | 0.843026i | ||||
\(63\) | −2.17458 | − | 8.69922i | −0.273972 | − | 1.09600i | ||||
\(64\) | −1.13802 | − | 7.91864i | −0.142252 | − | 0.989830i | ||||
\(65\) | 6.57743 | − | 2.85541i | 0.815830 | − | 0.354170i | ||||
\(66\) | 1.23790 | − | 0.116590i | 0.152374 | − | 0.0143512i | ||||
\(67\) | 2.33526 | + | 3.21421i | 0.285298 | + | 0.392678i | 0.927480 | − | 0.373874i | \(-0.121971\pi\) |
−0.642182 | + | 0.766552i | \(0.721971\pi\) | |||||||
\(68\) | 3.71292 | + | 1.44566i | 0.450258 | + | 0.175312i | ||||
\(69\) | −5.02624 | − | 0.975415i | −0.605088 | − | 0.117426i | ||||
\(70\) | −8.77416 | + | 3.51471i | −1.04871 | + | 0.420088i | ||||
\(71\) | 5.52037 | + | 4.01078i | 0.655147 | + | 0.475992i | 0.865021 | − | 0.501736i | \(-0.167305\pi\) |
−0.209873 | + | 0.977729i | \(0.567305\pi\) | |||||||
\(72\) | 3.83587 | − | 7.56876i | 0.452062 | − | 0.891987i | ||||
\(73\) | 1.85520 | − | 5.70971i | 0.217134 | − | 0.668270i | −0.781861 | − | 0.623453i | \(-0.785729\pi\) |
0.998995 | − | 0.0448176i | \(-0.0142707\pi\) | |||||||
\(74\) | 4.01567 | + | 5.87286i | 0.466812 | + | 0.682706i | ||||
\(75\) | −2.66912 | − | 8.23868i | −0.308203 | − | 0.951321i | ||||
\(76\) | 12.0307 | + | 4.68426i | 1.38001 | + | 0.537322i | ||||
\(77\) | −1.44296 | − | 0.468845i | −0.164440 | − | 0.0534299i | ||||
\(78\) | 5.89380 | − | 5.19252i | 0.667342 | − | 0.587937i | ||||
\(79\) | 4.47691 | − | 6.16194i | 0.503692 | − | 0.693272i | −0.479148 | − | 0.877734i | \(-0.659054\pi\) |
0.982840 | + | 0.184462i | \(0.0590543\pi\) | |||||||
\(80\) | −8.45284 | − | 2.92394i | −0.945057 | − | 0.326906i | ||||
\(81\) | 7.94138 | − | 4.23492i | 0.882375 | − | 0.470546i | ||||
\(82\) | −9.29624 | + | 6.35646i | −1.02660 | + | 0.701954i | ||||
\(83\) | −9.94426 | + | 7.22493i | −1.09152 | + | 0.793039i | −0.979656 | − | 0.200684i | \(-0.935683\pi\) |
−0.111868 | + | 0.993723i | \(0.535683\pi\) | |||||||
\(84\) | −7.96140 | + | 6.61990i | −0.868660 | + | 0.722290i | ||||
\(85\) | 3.33811 | − | 2.94986i | 0.362069 | − | 0.319957i | ||||
\(86\) | −2.65326 | − | 9.03652i | −0.286108 | − | 0.974433i | ||||
\(87\) | −14.1352 | − | 7.82967i | −1.51546 | − | 0.839429i | ||||
\(88\) | −0.741366 | − | 1.22951i | −0.0790298 | − | 0.131066i | ||||
\(89\) | −0.844556 | − | 0.274413i | −0.0895228 | − | 0.0290877i | 0.263913 | − | 0.964546i | \(-0.414987\pi\) |
−0.353436 | + | 0.935459i | \(0.614987\pi\) | |||||||
\(90\) | −5.55808 | − | 7.68816i | −0.585873 | − | 0.810403i | ||||
\(91\) | −9.11572 | + | 2.96188i | −0.955588 | + | 0.310489i | ||||
\(92\) | 1.50284 | + | 5.71788i | 0.156682 | + | 0.596131i | ||||
\(93\) | 9.73396 | − | 9.08261i | 1.00937 | − | 0.941823i | ||||
\(94\) | −3.26970 | − | 1.16666i | −0.337244 | − | 0.120332i | ||||
\(95\) | 10.8162 | − | 9.55819i | 1.10972 | − | 0.980650i | ||||
\(96\) | −9.79593 | − | 0.199620i | −0.999792 | − | 0.0203737i | ||||
\(97\) | 4.04517 | + | 2.93899i | 0.410725 | + | 0.298409i | 0.773895 | − | 0.633314i | \(-0.218306\pi\) |
−0.363170 | + | 0.931723i | \(0.618306\pi\) | |||||||
\(98\) | 2.62419 | − | 0.770500i | 0.265083 | − | 0.0778323i | ||||
\(99\) | 0.105301 | − | 1.51917i | 0.0105832 | − | 0.152682i | ||||
\(100\) | −7.23454 | + | 6.90372i | −0.723454 | + | 0.690372i | ||||
\(101\) | − | 2.42189i | − | 0.240987i | −0.992714 | − | 0.120494i | \(-0.961552\pi\) | ||
0.992714 | − | 0.120494i | \(-0.0384477\pi\) | |||||||
\(102\) | 2.48551 | − | 4.19950i | 0.246102 | − | 0.415813i | ||||
\(103\) | 7.55183 | − | 10.3942i | 0.744103 | − | 1.02417i | −0.254269 | − | 0.967134i | \(-0.581835\pi\) |
0.998372 | − | 0.0570369i | \(-0.0181653\pi\) | |||||||
\(104\) | −8.35451 | − | 3.53096i | −0.819227 | − | 0.346239i | ||||
\(105\) | 2.50243 | + | 11.3025i | 0.244213 | + | 1.10301i | ||||
\(106\) | −4.75140 | + | 13.3163i | −0.461497 | + | 1.29339i | ||||
\(107\) | −10.1786 | −0.983999 | −0.491999 | − | 0.870596i | \(-0.663734\pi\) | ||||
−0.491999 | + | 0.870596i | \(0.663734\pi\) | |||||||
\(108\) | −8.38386 | − | 6.14092i | −0.806737 | − | 0.590910i | ||||
\(109\) | 2.83464 | + | 8.72414i | 0.271510 | + | 0.835621i | 0.990122 | + | 0.140210i | \(0.0447777\pi\) |
−0.718612 | + | 0.695411i | \(0.755222\pi\) | |||||||
\(110\) | −1.60160 | + | 0.107215i | −0.152707 | + | 0.0102225i | ||||
\(111\) | 7.89594 | − | 3.68486i | 0.749449 | − | 0.349752i | ||||
\(112\) | 10.8752 | + | 4.96710i | 1.02761 | + | 0.469347i | ||||
\(113\) | −0.0222921 | + | 0.00724314i | −0.00209706 | + | 0.000681377i | −0.310065 | − | 0.950715i | \(-0.600351\pi\) |
0.307968 | + | 0.951397i | \(0.400351\pi\) | |||||||
\(114\) | 8.05360 | − | 13.6073i | 0.754289 | − | 1.27444i | ||||
\(115\) | 6.45240 | + | 1.43439i | 0.601689 | + | 0.133758i | ||||
\(116\) | −1.06559 | + | 18.6282i | −0.0989379 | + | 1.72958i | ||||
\(117\) | −5.10291 | − | 8.15531i | −0.471764 | − | 0.753959i | ||||
\(118\) | −2.58672 | − | 3.78304i | −0.238127 | − | 0.348257i | ||||
\(119\) | −4.81743 | + | 3.50006i | −0.441613 | + | 0.320850i | ||||
\(120\) | −5.21469 | + | 9.63364i | −0.476034 | + | 0.879427i | ||||
\(121\) | 8.69073 | + | 6.31419i | 0.790067 | + | 0.574017i | ||||
\(122\) | −0.437553 | + | 15.3107i | −0.0396142 | + | 1.38617i | ||||
\(123\) | 5.83283 | + | 12.4986i | 0.525928 | + | 1.12696i | ||||
\(124\) | −14.3253 | − | 5.57770i | −1.28645 | − | 0.500892i | ||||
\(125\) | 3.15673 | + | 10.7254i | 0.282346 | + | 0.959313i | ||||
\(126\) | 6.41667 | + | 10.9379i | 0.571642 | + | 0.974422i | ||||
\(127\) | 3.88750 | + | 1.26312i | 0.344959 | + | 0.112084i | 0.476372 | − | 0.879244i | \(-0.341951\pi\) |
−0.131413 | + | 0.991328i | \(0.541951\pi\) | |||||||
\(128\) | 4.69912 | + | 10.2917i | 0.415348 | + | 0.909663i | ||||
\(129\) | −11.4482 | + | 1.40920i | −1.00796 | + | 0.124073i | ||||
\(130\) | −7.78749 | + | 6.49515i | −0.683008 | + | 0.569663i | ||||
\(131\) | 8.81645 | − | 6.40552i | 0.770296 | − | 0.559653i | −0.131755 | − | 0.991282i | \(-0.542061\pi\) |
0.902051 | + | 0.431629i | \(0.142061\pi\) | |||||||
\(132\) | −1.63329 | + | 0.651402i | −0.142160 | + | 0.0566972i | ||||
\(133\) | −15.6095 | + | 11.3410i | −1.35352 | + | 0.983388i | ||||
\(134\) | −4.44938 | − | 3.43106i | −0.384368 | − | 0.296399i | ||||
\(135\) | −10.3965 | + | 5.18781i | −0.894786 | + | 0.446496i | ||||
\(136\) | −5.61415 | − | 0.482379i | −0.481410 | − | 0.0413637i | ||||
\(137\) | 19.3739 | − | 6.29497i | 1.65523 | − | 0.537816i | 0.675363 | − | 0.737485i | \(-0.263987\pi\) |
0.979863 | + | 0.199670i | \(0.0639869\pi\) | |||||||
\(138\) | 7.20889 | − | 0.678962i | 0.613661 | − | 0.0577971i | ||||
\(139\) | 1.20074 | + | 0.390143i | 0.101845 | + | 0.0330915i | 0.359496 | − | 0.933147i | \(-0.382949\pi\) |
−0.257651 | + | 0.966238i | \(0.582949\pi\) | |||||||
\(140\) | 10.5056 | − | 8.26498i | 0.887888 | − | 0.698519i | ||||
\(141\) | −2.06020 | + | 3.71936i | −0.173500 | + | 0.313227i | ||||
\(142\) | −9.08873 | − | 3.24296i | −0.762709 | − | 0.272143i | ||||
\(143\) | −1.62776 | −0.136120 | ||||||||
\(144\) | −2.18950 | + | 11.7986i | −0.182459 | + | 0.983214i | ||||
\(145\) | 17.9683 | + | 10.5982i | 1.49219 | + | 0.880131i | ||||
\(146\) | −0.242539 | + | 8.48682i | −0.0200727 | + | 0.702374i | ||||
\(147\) | −0.409229 | − | 3.32454i | −0.0337527 | − | 0.274203i | ||||
\(148\) | −7.78882 | − | 6.36916i | −0.640237 | − | 0.523542i | ||||
\(149\) | − | 16.5478i | − | 1.35565i | −0.735223 | − | 0.677825i | \(-0.762923\pi\) | ||
0.735223 | − | 0.677825i | \(-0.237077\pi\) | |||||||
\(150\) | 6.90423 | + | 10.1159i | 0.563728 | + | 0.825961i | ||||
\(151\) | − | 17.4934i | − | 1.42359i | −0.702386 | − | 0.711796i | \(-0.747882\pi\) | ||
0.702386 | − | 0.711796i | \(-0.252118\pi\) | |||||||
\(152\) | −18.1911 | − | 1.56302i | −1.47549 | − | 0.126777i | ||||
\(153\) | −4.58072 | − | 3.83893i | −0.370329 | − | 0.310359i | ||||
\(154\) | 2.14479 | + | 0.0612944i | 0.172832 | + | 0.00493924i | ||||
\(155\) | −12.8792 | + | 11.3812i | −1.03448 | + | 0.914163i | ||||
\(156\) | −5.92871 | + | 9.39408i | −0.474677 | + | 0.752128i | ||||
\(157\) | −18.0026 | −1.43677 | −0.718383 | − | 0.695648i | \(-0.755117\pi\) | ||||
−0.718383 | + | 0.695648i | \(0.755117\pi\) | |||||||
\(158\) | −3.61985 | + | 10.1450i | −0.287980 | + | 0.807093i | ||||
\(159\) | 15.1476 | + | 8.39042i | 1.20128 | + | 0.665404i | ||||
\(160\) | 12.6349 | + | 0.599843i | 0.998875 | + | 0.0474217i | ||||
\(161\) | −8.40306 | − | 2.73032i | −0.662254 | − | 0.215179i | ||||
\(162\) | −9.08865 | + | 8.91046i | −0.714072 | + | 0.700072i | ||||
\(163\) | −13.4419 | + | 4.36753i | −1.05285 | + | 0.342091i | −0.783786 | − | 0.621031i | \(-0.786714\pi\) |
−0.269063 | + | 0.963123i | \(0.586714\pi\) | |||||||
\(164\) | 10.0819 | − | 12.3291i | 0.787260 | − | 0.962737i | ||||
\(165\) | −0.188967 | + | 1.95684i | −0.0147111 | + | 0.152340i | ||||
\(166\) | 10.6152 | − | 13.7657i | 0.823896 | − | 1.06842i | ||||
\(167\) | 4.88039 | − | 3.54581i | 0.377656 | − | 0.274383i | −0.382723 | − | 0.923863i | \(-0.625014\pi\) |
0.760378 | + | 0.649480i | \(0.225014\pi\) | |||||||
\(168\) | 8.16561 | − | 12.1547i | 0.629990 | − | 0.937755i | ||||
\(169\) | 2.19794 | − | 1.59690i | 0.169072 | − | 0.122838i | ||||
\(170\) | −3.35432 | + | 5.33271i | −0.257264 | + | 0.409000i | ||||
\(171\) | −14.8425 | − | 12.4390i | −1.13504 | − | 0.951232i | ||||
\(172\) | 7.20058 | + | 11.2048i | 0.549039 | + | 0.854361i | ||||
\(173\) | −7.94663 | − | 2.58202i | −0.604171 | − | 0.196307i | −0.00907135 | − | 0.999959i | \(-0.502888\pi\) |
−0.595100 | + | 0.803652i | \(0.702888\pi\) | |||||||
\(174\) | 22.3000 | + | 4.99263i | 1.69056 | + | 0.378490i | ||||
\(175\) | −2.83458 | − | 14.6735i | −0.214274 | − | 1.10922i | ||||
\(176\) | 1.49584 | + | 1.37298i | 0.112753 | + | 0.103493i | ||||
\(177\) | −5.08622 | + | 2.37363i | −0.382304 | + | 0.178413i | ||||
\(178\) | 1.25534 | + | 0.0358753i | 0.0940914 | + | 0.00268897i | ||||
\(179\) | −1.06871 | − | 0.776461i | −0.0798790 | − | 0.0580355i | 0.547129 | − | 0.837048i | \(-0.315721\pi\) |
−0.627008 | + | 0.779013i | \(0.715721\pi\) | |||||||
\(180\) | 10.6050 | + | 8.21788i | 0.790451 | + | 0.612525i | ||||
\(181\) | −6.20779 | + | 4.51023i | −0.461422 | + | 0.335242i | −0.794089 | − | 0.607802i | \(-0.792051\pi\) |
0.332667 | + | 0.943044i | \(0.392051\pi\) | |||||||
\(182\) | 11.1894 | − | 7.65092i | 0.829411 | − | 0.567124i | ||||
\(183\) | 18.4158 | + | 3.57385i | 1.36133 | + | 0.264186i | ||||
\(184\) | −4.31735 | − | 7.16003i | −0.318279 | − | 0.527844i | ||||
\(185\) | −10.3186 | + | 4.47954i | −0.758639 | + | 0.329343i | ||||
\(186\) | −9.58967 | + | 16.2026i | −0.703149 | + | 1.18804i | ||||
\(187\) | −0.961765 | + | 0.312496i | −0.0703312 | + | 0.0228520i | ||||
\(188\) | 4.90158 | + | 0.280386i | 0.357484 | + | 0.0204493i | ||||
\(189\) | 14.4945 | − | 5.57909i | 1.05432 | − | 0.405819i | ||||
\(190\) | −10.8687 | + | 17.2792i | −0.788500 | + | 1.25356i | ||||
\(191\) | −0.848076 | − | 2.61011i | −0.0613646 | − | 0.188861i | 0.915675 | − | 0.401920i | \(-0.131657\pi\) |
−0.977039 | + | 0.213060i | \(0.931657\pi\) | |||||||
\(192\) | 13.3719 | − | 3.63198i | 0.965037 | − | 0.262115i | ||||
\(193\) | −17.1604 | −1.23523 | −0.617615 | − | 0.786481i | \(-0.711901\pi\) | ||||
−0.617615 | + | 0.786481i | \(0.711901\pi\) | |||||||
\(194\) | −6.65997 | − | 2.37635i | −0.478158 | − | 0.170612i | ||||
\(195\) | 6.30050 | + | 10.7029i | 0.451188 | + | 0.766449i | ||||
\(196\) | −3.25386 | + | 2.09103i | −0.232419 | + | 0.149360i | ||||
\(197\) | 0.629999 | − | 0.867119i | 0.0448856 | − | 0.0617797i | −0.785984 | − | 0.618246i | \(-0.787843\pi\) |
0.830870 | + | 0.556467i | \(0.187843\pi\) | |||||||
\(198\) | 0.462375 | + | 2.10337i | 0.0328595 | + | 0.149480i | ||||
\(199\) | 9.23149i | 0.654403i | 0.944955 | + | 0.327202i | \(0.106106\pi\) | ||||
−0.944955 | + | 0.327202i | \(0.893894\pi\) | |||||||
\(200\) | 7.06623 | − | 12.2502i | 0.499658 | − | 0.866223i | ||||
\(201\) | −5.03132 | + | 4.69464i | −0.354882 | + | 0.331134i | ||||
\(202\) | 0.964919 | + | 3.28634i | 0.0678914 | + | 0.231226i | ||||
\(203\) | −22.5595 | − | 16.3904i | −1.58336 | − | 1.15038i | ||||
\(204\) | −1.69952 | + | 6.68870i | −0.118990 | + | 0.468303i | ||||
\(205\) | −7.09074 | − | 16.3335i | −0.495239 | − | 1.14078i | ||||
\(206\) | −6.10610 | + | 17.1130i | −0.425432 | + | 1.19232i | ||||
\(207\) | 0.613223 | − | 8.84690i | 0.0426220 | − | 0.614902i | ||||
\(208\) | 12.7433 | + | 1.46270i | 0.883589 | + | 0.101420i | ||||
\(209\) | −3.11633 | + | 1.01256i | −0.215561 | + | 0.0700401i | ||||
\(210\) | −7.89873 | − | 14.3397i | −0.545064 | − | 0.989534i | ||||
\(211\) | −13.6811 | − | 4.44526i | −0.941847 | − | 0.306025i | −0.202449 | − | 0.979293i | \(-0.564890\pi\) |
−0.739398 | + | 0.673268i | \(0.764890\pi\) | |||||||
\(212\) | 1.14191 | − | 19.9623i | 0.0784267 | − | 1.37102i | ||||
\(213\) | −5.72669 | + | 10.3386i | −0.392386 | + | 0.708392i | ||||
\(214\) | 13.8116 | − | 4.05530i | 0.944143 | − | 0.277214i | ||||
\(215\) | 14.8234 | − | 1.41865i | 1.01095 | − | 0.0967514i | ||||
\(216\) | 13.8230 | + | 4.99255i | 0.940534 | + | 0.339700i | ||||
\(217\) | 18.5867 | − | 13.5041i | 1.26175 | − | 0.916715i | ||||
\(218\) | −7.32225 | − | 10.7087i | −0.495926 | − | 0.725285i | ||||
\(219\) | 10.2080 | + | 1.98101i | 0.689792 | + | 0.133864i | ||||
\(220\) | 2.13055 | − | 0.783588i | 0.143642 | − | 0.0528295i | ||||
\(221\) | −3.75508 | + | 5.16843i | −0.252594 | + | 0.347666i | ||||
\(222\) | −9.24614 | + | 8.14597i | −0.620560 | + | 0.546722i | ||||
\(223\) | −14.1688 | − | 4.60371i | −0.948811 | − | 0.308287i | −0.206579 | − | 0.978430i | \(-0.566233\pi\) |
−0.742232 | + | 0.670143i | \(0.766233\pi\) | |||||||
\(224\) | −16.7359 | − | 2.40716i | −1.11822 | − | 0.160835i | ||||
\(225\) | 13.5981 | − | 6.33178i | 0.906541 | − | 0.422118i | ||||
\(226\) | 0.0273631 | − | 0.0187100i | 0.00182016 | − | 0.00124457i | ||||
\(227\) | −1.61850 | + | 4.98124i | −0.107424 | + | 0.330617i | −0.990292 | − | 0.139005i | \(-0.955610\pi\) |
0.882868 | + | 0.469622i | \(0.155610\pi\) | |||||||
\(228\) | −5.50682 | + | 21.6729i | −0.364698 | + | 1.43532i | ||||
\(229\) | 21.1540 | + | 15.3693i | 1.39790 | + | 1.01563i | 0.994946 | + | 0.100409i | \(0.0320150\pi\) |
0.402950 | + | 0.915222i | \(0.367985\pi\) | |||||||
\(230\) | −9.32695 | + | 0.624366i | −0.615001 | + | 0.0411695i | ||||
\(231\) | 0.500640 | − | 2.57976i | 0.0329397 | − | 0.169736i | ||||
\(232\) | −5.97583 | − | 25.7017i | −0.392332 | − | 1.68740i | ||||
\(233\) | 1.58640 | + | 2.18350i | 0.103929 | + | 0.143046i | 0.857814 | − | 0.513961i | \(-0.171822\pi\) |
−0.753885 | + | 0.657007i | \(0.771822\pi\) | |||||||
\(234\) | 10.1735 | + | 9.03312i | 0.665063 | + | 0.590514i | ||||
\(235\) | 2.78867 | − | 4.72794i | 0.181912 | − | 0.308417i | ||||
\(236\) | 5.01722 | + | 4.10274i | 0.326593 | + | 0.267065i | ||||
\(237\) | 11.5402 | + | 6.39224i | 0.749615 | + | 0.415220i | ||||
\(238\) | 5.14244 | − | 6.66869i | 0.333335 | − | 0.432267i | ||||
\(239\) | −0.294092 | + | 0.905123i | −0.0190232 | + | 0.0585475i | −0.960118 | − | 0.279597i | \(-0.909799\pi\) |
0.941094 | + | 0.338144i | \(0.109799\pi\) | |||||||
\(240\) | 3.23779 | − | 15.1498i | 0.208999 | − | 0.977916i | ||||
\(241\) | 7.33014 | + | 22.5599i | 0.472176 | + | 1.45321i | 0.849729 | + | 0.527220i | \(0.176766\pi\) |
−0.377552 | + | 0.925988i | \(0.623234\pi\) | |||||||
\(242\) | −14.3084 | − | 5.10540i | −0.919779 | − | 0.328188i | ||||
\(243\) | 8.96060 | + | 12.7557i | 0.574823 | + | 0.818278i | ||||
\(244\) | −5.50629 | − | 20.9499i | −0.352504 | − | 1.34118i | ||||
\(245\) | 0.411974 | + | 4.30469i | 0.0263201 | + | 0.275016i | ||||
\(246\) | −12.8944 | − | 14.6359i | −0.822116 | − | 0.933149i | ||||
\(247\) | −12.1673 | + | 16.7468i | −0.774186 | + | 1.06558i | ||||
\(248\) | 21.6607 | + | 1.86113i | 1.37546 | + | 0.118182i | ||||
\(249\) | −14.5245 | − | 15.5661i | −0.920451 | − | 0.986461i | ||||
\(250\) | −8.55665 | − | 13.2960i | −0.541170 | − | 0.840913i | ||||
\(251\) | 12.6221 | 0.796697 | 0.398349 | − | 0.917234i | \(-0.369583\pi\) | ||||
0.398349 | + | 0.917234i | \(0.369583\pi\) | |||||||
\(252\) | −13.0648 | − | 12.2854i | −0.823005 | − | 0.773909i | ||||
\(253\) | −1.21393 | − | 0.881973i | −0.0763193 | − | 0.0554492i | ||||
\(254\) | −5.77832 | − | 0.165134i | −0.362564 | − | 0.0103615i | ||||
\(255\) | 5.77740 | + | 5.11425i | 0.361795 | + | 0.320267i | ||||
\(256\) | −10.4767 | − | 12.0929i | −0.654797 | − | 0.755805i | ||||
\(257\) | − | 11.0570i | − | 0.689715i | −0.938655 | − | 0.344858i | \(-0.887927\pi\) | ||
0.938655 | − | 0.344858i | \(-0.112073\pi\) | |||||||
\(258\) | 14.9730 | − | 6.47334i | 0.932179 | − | 0.403013i | ||||
\(259\) | 14.3007 | − | 4.64657i | 0.888600 | − | 0.288724i | ||||
\(260\) | 7.97932 | − | 11.9161i | 0.494857 | − | 0.739008i | ||||
\(261\) | 10.4687 | − | 25.9564i | 0.647995 | − | 1.60666i | ||||
\(262\) | −9.41126 | + | 12.2045i | −0.581429 | + | 0.753995i | ||||
\(263\) | 2.15888 | + | 6.64435i | 0.133122 | + | 0.409708i | 0.995293 | − | 0.0969093i | \(-0.0308957\pi\) |
−0.862171 | + | 0.506617i | \(0.830896\pi\) | |||||||
\(264\) | 1.95673 | − | 1.53464i | 0.120429 | − | 0.0944503i | ||||
\(265\) | −19.2552 | − | 11.3572i | −1.18284 | − | 0.697668i | ||||
\(266\) | 16.6626 | − | 21.6080i | 1.02165 | − | 1.32487i | ||||
\(267\) | 0.293023 | − | 1.50992i | 0.0179327 | − | 0.0924059i | ||||
\(268\) | 7.40450 | + | 2.88301i | 0.452302 | + | 0.176108i | ||||
\(269\) | 3.02101 | + | 4.15807i | 0.184194 | + | 0.253522i | 0.891122 | − | 0.453764i | \(-0.149919\pi\) |
−0.706927 | + | 0.707286i | \(0.749919\pi\) | |||||||
\(270\) | 12.0404 | − | 11.1816i | 0.732755 | − | 0.680492i | ||||
\(271\) | −4.40658 | + | 6.06514i | −0.267681 | + | 0.368431i | −0.921605 | − | 0.388129i | \(-0.873122\pi\) |
0.653924 | + | 0.756560i | \(0.273122\pi\) | |||||||
\(272\) | 7.81021 | − | 1.58221i | 0.473564 | − | 0.0959356i | ||||
\(273\) | −7.02065 | − | 15.0439i | −0.424909 | − | 0.910496i | ||||
\(274\) | −23.7811 | + | 16.2607i | −1.43667 | + | 0.982346i | ||||
\(275\) | 0.312230 | − | 2.51875i | 0.0188282 | − | 0.151886i | ||||
\(276\) | −9.51147 | + | 3.79344i | −0.572523 | + | 0.228338i | ||||
\(277\) | 5.01166 | − | 15.4243i | 0.301121 | − | 0.926756i | −0.679975 | − | 0.733235i | \(-0.738009\pi\) |
0.981096 | − | 0.193520i | \(-0.0619906\pi\) | |||||||
\(278\) | −1.78476 | − | 0.0510053i | −0.107043 | − | 0.00305909i | ||||
\(279\) | 17.6735 | + | 14.8115i | 1.05808 | + | 0.886740i | ||||
\(280\) | −10.9625 | + | 15.4006i | −0.655136 | + | 0.920364i | ||||
\(281\) | 10.3360 | + | 14.2262i | 0.616591 | + | 0.848665i | 0.997099 | − | 0.0761127i | \(-0.0242509\pi\) |
−0.380508 | + | 0.924778i | \(0.624251\pi\) | |||||||
\(282\) | 1.31369 | − | 5.86773i | 0.0782293 | − | 0.349418i | ||||
\(283\) | 2.60961 | + | 3.59182i | 0.155125 | + | 0.213512i | 0.879505 | − | 0.475889i | \(-0.157874\pi\) |
−0.724380 | + | 0.689401i | \(0.757874\pi\) | |||||||
\(284\) | 13.6248 | + | 0.779385i | 0.808485 | + | 0.0462480i | ||||
\(285\) | 18.7200 | + | 16.5713i | 1.10888 | + | 0.981599i | ||||
\(286\) | 2.20876 | − | 0.648525i | 0.130607 | − | 0.0383481i | ||||
\(287\) | 7.35512 | + | 22.6367i | 0.434159 | + | 1.33620i | ||||
\(288\) | −1.72973 | − | 16.8822i | −0.101925 | − | 0.994792i | ||||
\(289\) | 4.02682 | − | 12.3933i | 0.236872 | − | 0.729017i | ||||
\(290\) | −28.6043 | − | 7.22217i | −1.67970 | − | 0.424100i | ||||
\(291\) | −4.19636 | + | 7.57587i | −0.245995 | + | 0.444105i | ||||
\(292\) | −3.05217 | − | 11.6127i | −0.178615 | − | 0.679580i | ||||
\(293\) | 18.3468i | 1.07183i | 0.844271 | + | 0.535916i | \(0.180034\pi\) | ||||
−0.844271 | + | 0.535916i | \(0.819966\pi\) | |||||||
\(294\) | 1.87985 | + | 4.34813i | 0.109635 | + | 0.253588i | ||||
\(295\) | 6.64680 | − | 2.88553i | 0.386992 | − | 0.168002i | ||||
\(296\) | 13.1065 | + | 5.53933i | 0.761799 | + | 0.321967i | ||||
\(297\) | 2.63385 | − | 0.140446i | 0.152832 | − | 0.00814952i | ||||
\(298\) | 6.59291 | + | 22.4543i | 0.381917 | + | 1.30074i | ||||
\(299\) | −9.47926 | −0.548200 | ||||||||
\(300\) | −13.3989 | − | 10.9759i | −0.773586 | − | 0.633691i | ||||
\(301\) | −19.9051 | −1.14731 | ||||||||
\(302\) | 6.96965 | + | 23.7374i | 0.401058 | + | 1.36593i | ||||
\(303\) | 4.16341 | − | 0.512489i | 0.239182 | − | 0.0294417i | ||||
\(304\) | 25.3068 | − | 5.12671i | 1.45145 | − | 0.294037i | ||||
\(305\) | −23.6411 | − | 5.25550i | −1.35369 | − | 0.300929i | ||||
\(306\) | 7.74521 | + | 3.38414i | 0.442764 | + | 0.193458i | ||||
\(307\) | 8.77470i | 0.500798i | 0.968143 | + | 0.250399i | \(0.0805619\pi\) | ||||
−0.968143 | + | 0.250399i | \(0.919438\pi\) | |||||||
\(308\) | −2.93475 | + | 0.771346i | −0.167223 | + | 0.0439515i | ||||
\(309\) | 19.4664 | + | 10.7827i | 1.10741 | + | 0.613405i | ||||
\(310\) | 12.9417 | − | 20.5748i | 0.735041 | − | 1.16857i | ||||
\(311\) | 6.60385 | − | 20.3245i | 0.374470 | − | 1.15250i | −0.569366 | − | 0.822084i | \(-0.692811\pi\) |
0.943836 | − | 0.330415i | \(-0.107189\pi\) | |||||||
\(312\) | 4.30211 | − | 15.1092i | 0.243559 | − | 0.855391i | ||||
\(313\) | −1.61770 | − | 4.97877i | −0.0914378 | − | 0.281417i | 0.894871 | − | 0.446325i | \(-0.147267\pi\) |
−0.986309 | + | 0.164908i | \(0.947267\pi\) | |||||||
\(314\) | 24.4283 | − | 7.17253i | 1.37857 | − | 0.404769i | ||||
\(315\) | −18.9003 | + | 6.69356i | −1.06491 | + | 0.377140i | ||||
\(316\) | 0.869963 | − | 15.2083i | 0.0489393 | − | 0.855533i | ||||
\(317\) | 15.1706 | + | 20.8805i | 0.852064 | + | 1.17277i | 0.983404 | + | 0.181428i | \(0.0580720\pi\) |
−0.131340 | + | 0.991337i | \(0.541928\pi\) | |||||||
\(318\) | −23.8971 | − | 5.35019i | −1.34008 | − | 0.300024i | ||||
\(319\) | −2.78352 | − | 3.83119i | −0.155847 | − | 0.214506i | ||||
\(320\) | −17.3837 | + | 4.21999i | −0.971776 | + | 0.235904i | ||||
\(321\) | −2.15386 | − | 17.4977i | −0.120217 | − | 0.976628i | ||||
\(322\) | 12.4902 | + | 0.356948i | 0.696051 | + | 0.0198919i | ||||
\(323\) | −3.97402 | + | 12.2308i | −0.221120 | + | 0.680538i | ||||
\(324\) | 8.78262 | − | 15.7120i | 0.487923 | − | 0.872887i | ||||
\(325\) | −7.75702 | − | 14.0324i | −0.430282 | − | 0.778378i | ||||
\(326\) | 16.4996 | − | 11.2819i | 0.913830 | − | 0.624847i | ||||
\(327\) | −14.3976 | + | 6.71906i | −0.796191 | + | 0.371565i | ||||
\(328\) | −8.76830 | + | 20.7465i | −0.484148 | + | 1.14553i | ||||
\(329\) | −4.31275 | + | 5.93599i | −0.237770 | + | 0.327262i | ||||
\(330\) | −0.523222 | − | 2.73059i | −0.0288024 | − | 0.150314i | ||||
\(331\) | 19.6816 | + | 27.0895i | 1.08180 | + | 1.48897i | 0.857523 | + | 0.514446i | \(0.172003\pi\) |
0.224279 | + | 0.974525i | \(0.427997\pi\) | |||||||
\(332\) | −8.91959 | + | 22.9083i | −0.489526 | + | 1.25726i | ||||
\(333\) | 8.00539 | + | 12.7940i | 0.438693 | + | 0.701105i | ||||
\(334\) | −5.20965 | + | 6.75584i | −0.285059 | + | 0.369663i | ||||
\(335\) | 6.65703 | − | 5.88276i | 0.363713 | − | 0.321410i | ||||
\(336\) | −6.23755 | + | 19.7464i | −0.340286 | + | 1.07725i | ||||
\(337\) | −3.27098 | − | 10.0670i | −0.178182 | − | 0.548386i | 0.821583 | − | 0.570089i | \(-0.193091\pi\) |
−0.999764 | + | 0.0217027i | \(0.993091\pi\) | |||||||
\(338\) | −2.34623 | + | 3.04257i | −0.127618 | + | 0.165494i | ||||
\(339\) | −0.0171687 | − | 0.0367891i | −0.000932474 | − | 0.00199811i | ||||
\(340\) | 2.42694 | − | 8.57254i | 0.131620 | − | 0.464911i | ||||
\(341\) | 3.71071 | − | 1.20568i | 0.200946 | − | 0.0652915i | ||||
\(342\) | 25.0962 | + | 10.9653i | 1.35705 | + | 0.592938i | ||||
\(343\) | 15.1424i | 0.817611i | ||||||||
\(344\) | −14.2349 | − | 12.3354i | −0.767494 | − | 0.665080i | ||||
\(345\) | −1.10045 | + | 11.3957i | −0.0592463 | + | 0.613523i | ||||
\(346\) | 11.8118 | + | 0.337560i | 0.635004 | + | 0.0181473i | ||||
\(347\) | −16.2065 | − | 11.7747i | −0.870010 | − | 0.632100i | 0.0605794 | − | 0.998163i | \(-0.480705\pi\) |
−0.930590 | + | 0.366064i | \(0.880705\pi\) | |||||||
\(348\) | −32.2488 | + | 2.11002i | −1.72872 | + | 0.113109i | ||||
\(349\) | 3.03093 | 0.162242 | 0.0811208 | − | 0.996704i | \(-0.474150\pi\) | ||||
0.0811208 | + | 0.996704i | \(0.474150\pi\) | |||||||
\(350\) | 9.69251 | + | 18.7817i | 0.518086 | + | 1.00392i | ||||
\(351\) | 12.9398 | − | 10.4980i | 0.690675 | − | 0.560342i | ||||
\(352\) | −2.57677 | − | 1.26708i | −0.137342 | − | 0.0675356i | ||||
\(353\) | −6.60252 | + | 9.08758i | −0.351417 | + | 0.483683i | −0.947732 | − | 0.319067i | \(-0.896631\pi\) |
0.596316 | + | 0.802750i | \(0.296631\pi\) | |||||||
\(354\) | 5.95596 | − | 5.24728i | 0.316556 | − | 0.278890i | ||||
\(355\) | 7.75161 | − | 13.1422i | 0.411413 | − | 0.697514i | ||||
\(356\) | −1.71770 | + | 0.451465i | −0.0910379 | + | 0.0239276i | ||||
\(357\) | −7.03628 | − | 7.54088i | −0.372399 | − | 0.399106i | ||||
\(358\) | 1.75952 | + | 0.627816i | 0.0929934 | + | 0.0331811i | ||||
\(359\) | −10.7390 | − | 33.0513i | −0.566784 | − | 1.74438i | −0.662590 | − | 0.748982i | \(-0.730543\pi\) |
0.0958057 | − | 0.995400i | \(-0.469457\pi\) | |||||||
\(360\) | −17.6644 | − | 6.92591i | −0.930997 | − | 0.365027i | ||||
\(361\) | −7.00537 | + | 21.5603i | −0.368704 | + | 1.13475i | ||||
\(362\) | 6.62661 | − | 8.59335i | 0.348287 | − | 0.451657i | ||||
\(363\) | −9.01555 | + | 16.2762i | −0.473193 | + | 0.854277i | ||||
\(364\) | −12.1350 | + | 14.8398i | −0.636045 | + | 0.777816i | ||||
\(365\) | −13.1044 | − | 2.91316i | −0.685917 | − | 0.152482i | ||||
\(366\) | −26.4128 | + | 2.48767i | −1.38062 | + | 0.130032i | ||||
\(367\) | −15.5056 | − | 21.3417i | −0.809388 | − | 1.11403i | −0.991418 | − | 0.130734i | \(-0.958267\pi\) |
0.182030 | − | 0.983293i | \(-0.441733\pi\) | |||||||
\(368\) | 8.71101 | + | 7.99557i | 0.454093 | + | 0.416798i | ||||
\(369\) | −20.2518 | + | 12.6719i | −1.05427 | + | 0.659671i | ||||
\(370\) | 12.2169 | − | 10.1895i | 0.635128 | − | 0.529729i | ||||
\(371\) | 24.1751 | + | 17.5643i | 1.25511 | + | 0.911891i | ||||
\(372\) | 6.55715 | − | 25.8066i | 0.339972 | − | 1.33801i | ||||
\(373\) | 3.23200 | − | 9.94707i | 0.167347 | − | 0.515040i | −0.831855 | − | 0.554993i | \(-0.812721\pi\) |
0.999202 | + | 0.0399532i | \(0.0127209\pi\) | |||||||
\(374\) | 1.18055 | − | 0.807219i | 0.0610446 | − | 0.0417403i | ||||
\(375\) | −17.7699 | + | 7.69623i | −0.917632 | + | 0.397432i | ||||
\(376\) | −6.76282 | + | 1.57240i | −0.348766 | + | 0.0810903i | ||||
\(377\) | −28.4525 | − | 9.24478i | −1.46538 | − | 0.476130i | ||||
\(378\) | −17.4452 | + | 13.3453i | −0.897284 | + | 0.686407i | ||||
\(379\) | −18.8604 | + | 25.9591i | −0.968794 | + | 1.33343i | −0.0261403 | + | 0.999658i | \(0.508322\pi\) |
−0.942654 | + | 0.333772i | \(0.891678\pi\) | |||||||
\(380\) | 7.86384 | − | 27.7769i | 0.403406 | − | 1.42493i | ||||
\(381\) | −1.34878 | + | 6.95019i | −0.0691003 | + | 0.356069i | ||||
\(382\) | 2.19069 | + | 3.20385i | 0.112085 | + | 0.163923i | ||||
\(383\) | 15.2162 | − | 11.0552i | 0.777510 | − | 0.564894i | −0.126721 | − | 0.991938i | \(-0.540445\pi\) |
0.904231 | + | 0.427044i | \(0.140445\pi\) | |||||||
\(384\) | −16.6978 | + | 10.2559i | −0.852105 | + | 0.523371i | ||||
\(385\) | −0.736213 | + | 3.31175i | −0.0375209 | + | 0.168782i | ||||
\(386\) | 23.2854 | − | 6.83696i | 1.18520 | − | 0.347992i | ||||
\(387\) | −4.84505 | − | 19.3822i | −0.246288 | − | 0.985251i | ||||
\(388\) | 9.98390 | + | 0.571112i | 0.506856 | + | 0.0289938i | ||||
\(389\) | 7.28604 | + | 2.36738i | 0.369417 | + | 0.120031i | 0.487841 | − | 0.872932i | \(-0.337784\pi\) |
−0.118425 | + | 0.992963i | \(0.537784\pi\) | |||||||
\(390\) | −12.8135 | − | 12.0129i | −0.648839 | − | 0.608295i | ||||
\(391\) | −5.60084 | + | 1.81982i | −0.283247 | + | 0.0920325i | ||||
\(392\) | 3.58217 | − | 4.13378i | 0.180927 | − | 0.208787i | ||||
\(393\) | 12.8772 | + | 13.8007i | 0.649569 | + | 0.696153i | ||||
\(394\) | −0.509392 | + | 1.42762i | −0.0256628 | + | 0.0719226i | ||||
\(395\) | −14.6695 | − | 8.65248i | −0.738104 | − | 0.435354i | ||||
\(396\) | −1.46542 | − | 2.66991i | −0.0736404 | − | 0.134168i | ||||
\(397\) | 8.39731 | + | 6.10100i | 0.421449 | + | 0.306201i | 0.778221 | − | 0.627991i | \(-0.216123\pi\) |
−0.356772 | + | 0.934192i | \(0.616123\pi\) | |||||||
\(398\) | −3.67797 | − | 12.5265i | −0.184360 | − | 0.627897i | ||||
\(399\) | −22.7991 | − | 24.4341i | −1.14138 | − | 1.22324i | ||||
\(400\) | −4.70771 | + | 19.4380i | −0.235386 | + | 0.971902i | ||||
\(401\) | − | 14.7168i | − | 0.734920i | −0.930039 | − | 0.367460i | \(-0.880227\pi\) | ||
0.930039 | − | 0.367460i | \(-0.119773\pi\) | |||||||
\(402\) | 4.95673 | − | 8.37486i | 0.247219 | − | 0.417700i | ||||
\(403\) | 14.4880 | − | 19.9410i | 0.721697 | − | 0.993331i | ||||
\(404\) | −2.61866 | − | 4.07490i | −0.130283 | − | 0.202734i | ||||
\(405\) | −11.1182 | − | 16.7745i | −0.552468 | − | 0.833534i | ||||
\(406\) | 37.1418 | + | 13.2526i | 1.84332 | + | 0.657717i | ||||
\(407\) | 2.55361 | 0.126578 | ||||||||
\(408\) | −0.358748 | − | 9.75323i | −0.0177607 | − | 0.482857i | ||||
\(409\) | 5.80522 | + | 17.8666i | 0.287050 | + | 0.883448i | 0.985777 | + | 0.168060i | \(0.0537501\pi\) |
−0.698727 | + | 0.715388i | \(0.746250\pi\) | |||||||
\(410\) | 16.1292 | + | 19.3384i | 0.796563 | + | 0.955054i | ||||
\(411\) | 14.9212 | + | 31.9732i | 0.736008 | + | 1.57712i | ||||
\(412\) | 1.46749 | − | 25.6539i | 0.0722980 | − | 1.26388i | ||||
\(413\) | −9.21186 | + | 2.99312i | −0.453286 | + | 0.147282i | ||||
\(414\) | 2.69264 | + | 12.2490i | 0.132336 | + | 0.602003i | ||||
\(415\) | 18.2003 | + | 20.5958i | 0.893419 | + | 1.01101i | ||||
\(416\) | −17.8746 | + | 3.09234i | −0.876372 | + | 0.151614i | ||||
\(417\) | −0.416601 | + | 2.14671i | −0.0204010 | + | 0.105125i | ||||
\(418\) | 3.82523 | − | 2.61557i | 0.187098 | − | 0.127932i | ||||
\(419\) | 10.5612 | − | 7.67319i | 0.515951 | − | 0.374860i | −0.299126 | − | 0.954214i | \(-0.596695\pi\) |
0.815076 | + | 0.579354i | \(0.196695\pi\) | |||||||
\(420\) | 16.4312 | + | 16.3110i | 0.801761 | + | 0.795898i | ||||
\(421\) | −11.6637 | − | 8.47418i | −0.568454 | − | 0.413006i | 0.266089 | − | 0.963948i | \(-0.414268\pi\) |
−0.834543 | + | 0.550942i | \(0.814268\pi\) | |||||||
\(422\) | 20.3354 | + | 0.581151i | 0.989912 | + | 0.0282900i | ||||
\(423\) | −6.82981 | − | 2.75459i | −0.332077 | − | 0.133933i | ||||
\(424\) | 6.40381 | + | 27.5425i | 0.310996 | + | 1.33758i | ||||
\(425\) | −7.27719 | − | 6.80189i | −0.352995 | − | 0.329940i | ||||
\(426\) | 3.65165 | − | 16.3104i | 0.176923 | − | 0.790244i | ||||
\(427\) | 30.7882 | + | 10.0037i | 1.48995 | + | 0.484113i | ||||
\(428\) | −17.1257 | + | 11.0055i | −0.827804 | + | 0.531972i | ||||
\(429\) | −0.344446 | − | 2.79824i | −0.0166300 | − | 0.135100i | ||||
\(430\) | −19.5492 | + | 7.83090i | −0.942744 | + | 0.377639i | ||||
\(431\) | −25.9758 | + | 18.8725i | −1.25121 | + | 0.909058i | −0.998292 | − | 0.0584300i | \(-0.981391\pi\) |
−0.252919 | + | 0.967488i | \(0.581391\pi\) | |||||||
\(432\) | −20.7459 | − | 1.26726i | −0.998140 | − | 0.0609711i | ||||
\(433\) | −8.00368 | + | 5.81502i | −0.384632 | + | 0.279452i | −0.763252 | − | 0.646100i | \(-0.776399\pi\) |
0.378620 | + | 0.925552i | \(0.376399\pi\) | |||||||
\(434\) | −19.8407 | + | 25.7293i | −0.952385 | + | 1.23505i | ||||
\(435\) | −14.4169 | + | 33.1315i | −0.691236 | + | 1.58854i | ||||
\(436\) | 14.2023 | + | 11.6137i | 0.680168 | + | 0.556194i | ||||
\(437\) | −18.1480 | + | 5.89663i | −0.868135 | + | 0.282074i | ||||
\(438\) | −14.6408 | + | 1.37893i | −0.699565 | + | 0.0658878i | ||||
\(439\) | −28.1130 | − | 9.13448i | −1.34176 | − | 0.435965i | −0.451848 | − | 0.892095i | \(-0.649235\pi\) |
−0.889913 | + | 0.456130i | \(0.849235\pi\) | |||||||
\(440\) | −2.57882 | + | 1.91212i | −0.122941 | + | 0.0911568i | ||||
\(441\) | 5.62854 | − | 1.40699i | 0.268026 | − | 0.0669997i | ||||
\(442\) | 3.03621 | − | 8.50929i | 0.144418 | − | 0.404745i | ||||
\(443\) | 20.7980 | 0.988141 | 0.494070 | − | 0.869422i | \(-0.335508\pi\) | ||||
0.494070 | + | 0.869422i | \(0.335508\pi\) | |||||||
\(444\) | 9.30091 | − | 14.7373i | 0.441401 | − | 0.699403i | ||||
\(445\) | −0.430902 | + | 1.93835i | −0.0204267 | + | 0.0918867i | ||||
\(446\) | 21.0603 | + | 0.601866i | 0.997232 | + | 0.0284992i | ||||
\(447\) | 28.4470 | − | 3.50164i | 1.34549 | − | 0.165622i | ||||
\(448\) | 23.6685 | − | 3.40149i | 1.11823 | − | 0.160705i | ||||
\(449\) | − | 17.2012i | − | 0.811775i | −0.913923 | − | 0.405887i | \(-0.866963\pi\) | ||
0.913923 | − | 0.405887i | \(-0.133037\pi\) | |||||||
\(450\) | −15.9290 | + | 14.0095i | −0.750902 | + | 0.660414i | ||||
\(451\) | 4.04216i | 0.190338i | ||||||||
\(452\) | −0.0296755 | + | 0.0362900i | −0.00139582 | + | 0.00170694i | ||||
\(453\) | 30.0725 | − | 3.70173i | 1.41293 | − | 0.173922i | ||||
\(454\) | 0.211595 | − | 7.40405i | 0.00993064 | − | 0.347489i | ||||
\(455\) | 8.53473 | + | 19.6597i | 0.400114 | + | 0.921661i | ||||
\(456\) | −1.16242 | − | 31.6026i | −0.0544355 | − | 1.47993i | ||||
\(457\) | 40.7418 | 1.90582 | 0.952911 | − | 0.303251i | \(-0.0980722\pi\) | ||||
0.952911 | + | 0.303251i | \(0.0980722\pi\) | |||||||
\(458\) | −34.8279 | − | 12.4270i | −1.62740 | − | 0.580675i | ||||
\(459\) | 5.63010 | − | 8.68695i | 0.262790 | − | 0.405472i | ||||
\(460\) | 12.4073 | − | 4.56323i | 0.578492 | − | 0.212761i | ||||
\(461\) | 23.8627 | + | 7.75346i | 1.11140 | + | 0.361115i | 0.806478 | − | 0.591264i | \(-0.201371\pi\) |
0.304918 | + | 0.952379i | \(0.401371\pi\) | |||||||
\(462\) | 0.348483 | + | 3.70003i | 0.0162129 | + | 0.172141i | ||||
\(463\) | 32.0961 | − | 10.4287i | 1.49163 | − | 0.484661i | 0.554068 | − | 0.832471i | \(-0.313075\pi\) |
0.937565 | + | 0.347811i | \(0.113075\pi\) | |||||||
\(464\) | 18.3488 | + | 32.4947i | 0.851820 | + | 1.50853i | ||||
\(465\) | −22.2905 | − | 19.7320i | −1.03370 | − | 0.915048i | ||||
\(466\) | −3.02258 | − | 2.33081i | −0.140018 | − | 0.107973i | ||||
\(467\) | −0.168014 | + | 0.122069i | −0.00777476 | + | 0.00564869i | −0.591666 | − | 0.806183i | \(-0.701530\pi\) |
0.583891 | + | 0.811832i | \(0.301530\pi\) | |||||||
\(468\) | −17.4037 | − | 8.20405i | −0.804486 | − | 0.379232i | ||||
\(469\) | −9.60716 | + | 6.98001i | −0.443618 | + | 0.322307i | ||||
\(470\) | −1.90034 | + | 7.52654i | −0.0876563 | + | 0.347173i | ||||
\(471\) | −3.80948 | − | 30.9479i | −0.175532 | − | 1.42600i | ||||
\(472\) | −8.44262 | − | 3.56820i | −0.388603 | − | 0.164240i | ||||
\(473\) | −3.21496 | − | 1.04460i | −0.147824 | − | 0.0480309i | ||||
\(474\) | −18.2060 | − | 4.07604i | −0.836230 | − | 0.187219i | ||||
\(475\) | −23.5797 | − | 22.0396i | −1.08191 | − | 1.01125i | ||||
\(476\) | −4.32103 | + | 11.0978i | −0.198054 | + | 0.508666i | ||||
\(477\) | −11.2184 | + | 27.8153i | −0.513657 | + | 1.27358i | ||||
\(478\) | 0.0384481 | − | 1.34536i | 0.00175858 | − | 0.0615354i | ||||
\(479\) | 23.2172 | + | 16.8683i | 1.06082 | + | 0.770732i | 0.974240 | − | 0.225512i | \(-0.0724056\pi\) |
0.0865819 | + | 0.996245i | \(0.472406\pi\) | |||||||
\(480\) | 1.64246 | + | 21.8473i | 0.0749675 | + | 0.997186i | ||||
\(481\) | 13.0512 | − | 9.48226i | 0.595084 | − | 0.432354i | ||||
\(482\) | −18.9347 | − | 27.6918i | −0.862453 | − | 1.26133i | ||||
\(483\) | 2.91548 | − | 15.0233i | 0.132659 | − | 0.683582i | ||||
\(484\) | 21.4496 | + | 1.22699i | 0.974982 | + | 0.0557722i | ||||
\(485\) | 5.68016 | − | 9.63022i | 0.257923 | − | 0.437286i | ||||
\(486\) | −17.2410 | − | 13.7386i | −0.782067 | − | 0.623194i | ||||
\(487\) | 24.4182 | − | 7.93394i | 1.10649 | − | 0.359521i | 0.301895 | − | 0.953341i | \(-0.402381\pi\) |
0.804598 | + | 0.593820i | \(0.202381\pi\) | |||||||
\(488\) | 15.8184 | + | 26.2338i | 0.716067 | + | 1.18755i | ||||
\(489\) | −10.3525 | − | 22.1834i | −0.468157 | − | 1.00317i | ||||
\(490\) | −2.27408 | − | 5.67703i | −0.102732 | − | 0.256462i | ||||
\(491\) | −2.30527 | − | 7.09489i | −0.104035 | − | 0.320188i | 0.885467 | − | 0.464701i | \(-0.153838\pi\) |
−0.989503 | + | 0.144513i | \(0.953838\pi\) | |||||||
\(492\) | 23.3280 | + | 14.7226i | 1.05171 | + | 0.663744i | ||||
\(493\) | −18.5860 | −0.837073 | ||||||||
\(494\) | 9.83798 | − | 27.5720i | 0.442632 | − | 1.24052i | ||||
\(495\) | −3.40395 | + | 0.0892332i | −0.152996 | + | 0.00401074i | ||||
\(496\) | −30.1336 | + | 6.10454i | −1.35304 | + | 0.274102i | ||||
\(497\) | −11.9881 | + | 16.5002i | −0.537739 | + | 0.740135i | ||||
\(498\) | 25.9105 | + | 15.3353i | 1.16108 | + | 0.687193i | ||||
\(499\) | − | 4.53248i | − | 0.202902i | −0.994841 | − | 0.101451i | \(-0.967652\pi\) | ||
0.994841 | − | 0.101451i | \(-0.0323485\pi\) | |||||||
\(500\) | 16.9081 | + | 14.6327i | 0.756154 | + | 0.654393i | ||||
\(501\) | 7.12824 | + | 7.63944i | 0.318466 | + | 0.341305i | ||||
\(502\) | −17.1273 | + | 5.02883i | −0.764428 | + | 0.224447i | ||||
\(503\) | −17.7509 | − | 12.8968i | −0.791475 | − | 0.575040i | 0.116926 | − | 0.993141i | \(-0.462696\pi\) |
−0.908401 | + | 0.418100i | \(0.862696\pi\) | |||||||
\(504\) | 22.6228 | + | 11.4653i | 1.00770 | + | 0.510704i | ||||
\(505\) | −5.39088 | + | 0.515926i | −0.239891 | + | 0.0229584i | ||||
\(506\) | 1.99862 | + | 0.713128i | 0.0888493 | + | 0.0317024i | ||||
\(507\) | 3.21029 | + | 3.44051i | 0.142574 | + | 0.152798i | ||||
\(508\) | 7.90658 | − | 2.07810i | 0.350798 | − | 0.0922006i | ||||
\(509\) | −32.9222 | + | 10.6971i | −1.45925 | + | 0.474139i | −0.927841 | − | 0.372976i | \(-0.878337\pi\) |
−0.531409 | + | 0.847115i | \(0.678337\pi\) | |||||||
\(510\) | −9.87714 | − | 4.63789i | −0.437367 | − | 0.205369i | ||||
\(511\) | 17.0661 | + | 5.54512i | 0.754960 | + | 0.245301i | ||||
\(512\) | 19.0342 | + | 12.2351i | 0.841202 | + | 0.540721i | ||||
\(513\) | 18.2428 | − | 28.1476i | 0.805437 | − | 1.24275i | ||||
\(514\) | 4.40527 | + | 15.0036i | 0.194308 | + | 0.661779i | ||||
\(515\) | −24.7452 | − | 14.5954i | −1.09040 | − | 0.643148i | ||||
\(516\) | −17.7383 | + | 14.7494i | −0.780884 | + | 0.649305i | ||||
\(517\) | −1.00809 | + | 0.732420i | −0.0443357 | + | 0.0322118i | ||||
\(518\) | −17.5538 | + | 12.0027i | −0.771268 | + | 0.527368i | ||||
\(519\) | 2.75712 | − | 14.2072i | 0.121024 | − | 0.623629i | ||||
\(520\) | −6.07982 | + | 19.3485i | −0.266618 | + | 0.848487i | ||||
\(521\) | −7.91587 | + | 10.8953i | −0.346801 | + | 0.477330i | −0.946412 | − | 0.322961i | \(-0.895322\pi\) |
0.599612 | + | 0.800291i | \(0.295322\pi\) | |||||||
\(522\) | −3.86386 | + | 39.3919i | −0.169117 | + | 1.72414i | ||||
\(523\) | −27.3658 | − | 8.89170i | −1.19662 | − | 0.388807i | −0.358107 | − | 0.933681i | \(-0.616578\pi\) |
−0.838518 | + | 0.544874i | \(0.816578\pi\) | |||||||
\(524\) | 7.90799 | − | 20.3102i | 0.345462 | − | 0.887257i | ||||
\(525\) | 24.6251 | − | 7.97789i | 1.07473 | − | 0.348184i | ||||
\(526\) | −5.57667 | − | 8.15580i | −0.243154 | − | 0.355610i | ||||
\(527\) | 4.73199 | − | 14.5636i | 0.206129 | − | 0.634399i | ||||
\(528\) | −2.04373 | + | 2.86199i | −0.0889421 | + | 0.124552i | ||||
\(529\) | 11.5381 | + | 8.38289i | 0.501655 | + | 0.364473i | ||||
\(530\) | 30.6528 | + | 7.73941i | 1.33147 | + | 0.336178i | ||||
\(531\) | −5.15673 | − | 8.24132i | −0.223783 | − | 0.357643i | ||||
\(532\) | −14.0011 | + | 35.9593i | −0.607024 | + | 1.55903i | ||||
\(533\) | 15.0096 | + | 20.6590i | 0.650139 | + | 0.894839i | ||||
\(534\) | 0.203966 | + | 2.16561i | 0.00882646 | + | 0.0937151i | ||||
\(535\) | 2.16830 | + | 22.6564i | 0.0937439 | + | 0.979523i | ||||
\(536\) | −11.1960 | − | 0.961987i | −0.483595 | − | 0.0415515i | ||||
\(537\) | 1.10865 | − | 2.00149i | 0.0478418 | − | 0.0863709i | ||||
\(538\) | −5.75595 | − | 4.43860i | −0.248157 | − | 0.191361i | ||||
\(539\) | 0.303351 | − | 0.933618i | 0.0130662 | − | 0.0402138i | ||||
\(540\) | −11.8831 | + | 19.9698i | −0.511366 | + | 0.859363i | ||||
\(541\) | 5.41300 | + | 16.6595i | 0.232723 | + | 0.716248i | 0.997415 | + | 0.0718523i | \(0.0228910\pi\) |
−0.764692 | + | 0.644396i | \(0.777109\pi\) | |||||||
\(542\) | 3.56299 | − | 9.98564i | 0.153043 | − | 0.428920i | ||||
\(543\) | −9.06704 | − | 9.71727i | −0.389104 | − | 0.417008i | ||||
\(544\) | −9.96755 | + | 5.25866i | −0.427355 | + | 0.225463i | ||||
\(545\) | 18.8152 | − | 8.16810i | 0.805954 | − | 0.349883i | ||||
\(546\) | 15.5203 | + | 17.6164i | 0.664206 | + | 0.753911i | ||||
\(547\) | 14.3672 | − | 19.7747i | 0.614296 | − | 0.845506i | −0.382626 | − | 0.923903i | \(-0.624980\pi\) |
0.996922 | + | 0.0783972i | \(0.0249802\pi\) | |||||||
\(548\) | 25.7908 | − | 31.5395i | 1.10173 | − | 1.34730i | ||||
\(549\) | −2.24680 | + | 32.4144i | −0.0958913 | + | 1.38341i | ||||
\(550\) | 0.579833 | + | 3.54217i | 0.0247242 | + | 0.151039i | ||||
\(551\) | −60.2228 | −2.56558 | ||||||||
\(552\) | 11.3950 | − | 8.93696i | 0.485005 | − | 0.380382i | ||||
\(553\) | 18.4178 | + | 13.3813i | 0.783205 | + | 0.569032i | ||||
\(554\) | −0.655198 | + | 22.9264i | −0.0278367 | + | 0.974051i | ||||
\(555\) | −9.88417 | − | 16.7906i | −0.419560 | − | 0.712720i | ||||
\(556\) | 2.44212 | − | 0.641865i | 0.103569 | − | 0.0272211i | ||||
\(557\) | − | 26.5626i | − | 1.12549i | −0.826629 | − | 0.562747i | \(-0.809744\pi\) | ||
0.826629 | − | 0.562747i | \(-0.190256\pi\) | |||||||
\(558\) | −29.8828 | − | 13.0568i | −1.26504 | − | 0.552738i | ||||
\(559\) | −20.3102 | + | 6.59917i | −0.859028 | + | 0.279115i | ||||
\(560\) | 8.73955 | − | 25.2653i | 0.369314 | − | 1.06765i | ||||
\(561\) | −0.740722 | − | 1.58722i | −0.0312733 | − | 0.0670125i | ||||
\(562\) | −19.6931 | − | 15.1860i | −0.830705 | − | 0.640583i | ||||
\(563\) | 10.5948 | + | 32.6074i | 0.446517 | + | 1.37424i | 0.880811 | + | 0.473468i | \(0.156998\pi\) |
−0.434294 | + | 0.900771i | \(0.643002\pi\) | |||||||
\(564\) | 0.555203 | + | 8.48551i | 0.0233783 | + | 0.357305i | ||||
\(565\) | 0.0208713 | + | 0.0480769i | 0.000878061 | + | 0.00202261i | ||||
\(566\) | −4.97210 | − | 3.83415i | −0.208993 | − | 0.161161i | ||||
\(567\) | 12.6580 | + | 23.7365i | 0.531587 | + | 0.996839i | ||||
\(568\) | −18.7985 | + | 4.37077i | −0.788767 | + | 0.183394i | ||||
\(569\) | 25.8136 | + | 35.5294i | 1.08216 | + | 1.48947i | 0.857118 | + | 0.515120i | \(0.172252\pi\) |
0.225044 | + | 0.974349i | \(0.427748\pi\) | |||||||
\(570\) | −32.0041 | − | 15.0278i | −1.34050 | − | 0.629444i | ||||
\(571\) | −15.6298 | + | 21.5126i | −0.654088 | + | 0.900274i | −0.999268 | − | 0.0382621i | \(-0.987818\pi\) |
0.345180 | + | 0.938536i | \(0.387818\pi\) | |||||||
\(572\) | −2.73875 | + | 1.76001i | −0.114513 | + | 0.0735897i | ||||
\(573\) | 4.30752 | − | 2.01022i | 0.179949 | − | 0.0839783i | ||||
\(574\) | −18.9992 | − | 27.7861i | −0.793013 | − | 1.15977i | ||||
\(575\) | 1.81827 | − | 14.6679i | 0.0758273 | − | 0.611695i | ||||
\(576\) | 9.07325 | + | 22.2188i | 0.378052 | + | 0.925784i | ||||
\(577\) | −1.68893 | + | 5.19800i | −0.0703111 | + | 0.216395i | −0.980037 | − | 0.198813i | \(-0.936291\pi\) |
0.909726 | + | 0.415208i | \(0.136291\pi\) | |||||||
\(578\) | −0.526446 | + | 18.4212i | −0.0218973 | + | 0.766221i | ||||
\(579\) | −3.63126 | − | 29.5000i | −0.150910 | − | 1.22598i | ||||
\(580\) | 41.6915 | − | 1.59639i | 1.73114 | − | 0.0662866i | ||||
\(581\) | −21.5950 | − | 29.7230i | −0.895914 | − | 1.23312i | ||||
\(582\) | 2.67583 | − | 11.9518i | 0.110917 | − | 0.495420i | ||||
\(583\) | 2.98288 | + | 4.10558i | 0.123538 | + | 0.170036i | ||||
\(584\) | 8.76826 | + | 14.5416i | 0.362833 | + | 0.601735i | ||||
\(585\) | −17.0658 | + | 13.0958i | −0.705585 | + | 0.541447i | ||||
\(586\) | −7.30966 | − | 24.8954i | −0.301959 | − | 1.02842i | ||||
\(587\) | 0.188624 | + | 0.580524i | 0.00778534 | + | 0.0239608i | 0.954874 | − | 0.297012i | \(-0.0959902\pi\) |
−0.947088 | + | 0.320973i | \(0.895990\pi\) | |||||||
\(588\) | −4.28319 | − | 5.15116i | −0.176636 | − | 0.212430i | ||||
\(589\) | 15.3327 | − | 47.1892i | 0.631773 | − | 1.94440i | ||||
\(590\) | −7.86962 | + | 6.56365i | −0.323987 | + | 0.270221i | ||||
\(591\) | 1.62396 | + | 0.899527i | 0.0668006 | + | 0.0370016i | ||||
\(592\) | −19.9916 | − | 2.29467i | −0.821648 | − | 0.0943105i | ||||
\(593\) | − | 13.3297i | − | 0.547387i | −0.961817 | − | 0.273694i | \(-0.911755\pi\) | ||
0.961817 | − | 0.273694i | \(-0.0882454\pi\) | |||||||
\(594\) | −3.51800 | + | 1.23994i | −0.144345 | + | 0.0508755i | ||||
\(595\) | 8.81702 | + | 9.97749i | 0.361463 | + | 0.409037i | ||||
\(596\) | −17.8923 | − | 27.8422i | −0.732896 | − | 1.14046i | ||||
\(597\) | −15.8696 | + | 1.95345i | −0.649501 | + | 0.0799494i | ||||
\(598\) | 12.8627 | − | 3.77669i | 0.525996 | − | 0.154440i | ||||
\(599\) | −42.0107 | −1.71651 | −0.858256 | − | 0.513223i | \(-0.828452\pi\) | ||||
−0.858256 | + | 0.513223i | \(0.828452\pi\) | |||||||
\(600\) | 22.5544 | + | 9.55515i | 0.920778 | + | 0.390088i | ||||
\(601\) | −7.12499 | −0.290635 | −0.145317 | − | 0.989385i | \(-0.546420\pi\) | ||||
−0.145317 | + | 0.989385i | \(0.546420\pi\) | |||||||
\(602\) | 27.0098 | − | 7.93049i | 1.10084 | − | 0.323223i | ||||
\(603\) | −9.13511 | − | 7.65579i | −0.372010 | − | 0.311768i | ||||
\(604\) | −18.9147 | − | 29.4332i | −0.769627 | − | 1.19762i | ||||
\(605\) | 12.2034 | − | 20.6898i | 0.496138 | − | 0.841159i | ||||
\(606\) | −5.44528 | + | 2.35418i | −0.221200 | + | 0.0956321i | ||||
\(607\) | 10.0744i | 0.408909i | 0.978876 | + | 0.204454i | \(0.0655420\pi\) | ||||
−0.978876 | + | 0.204454i | \(0.934458\pi\) | |||||||
\(608\) | −32.2971 | + | 17.0392i | −1.30982 | + | 0.691032i | ||||
\(609\) | 23.4026 | − | 42.2498i | 0.948322 | − | 1.71205i | ||||
\(610\) | 34.1733 | − | 2.28763i | 1.38363 | − | 0.0926235i | ||||
\(611\) | −2.43255 | + | 7.48661i | −0.0984104 | + | 0.302876i | ||||
\(612\) | −11.8580 | − | 1.50623i | −0.479332 | − | 0.0608857i | ||||
\(613\) | 5.36954 | + | 16.5257i | 0.216874 | + | 0.667468i | 0.999015 | + | 0.0443676i | \(0.0141273\pi\) |
−0.782142 | + | 0.623101i | \(0.785873\pi\) | |||||||
\(614\) | −3.49598 | − | 11.9067i | −0.141086 | − | 0.480514i | ||||
\(615\) | 26.5781 | − | 15.6458i | 1.07173 | − | 0.630900i | ||||
\(616\) | 3.67495 | − | 2.21592i | 0.148068 | − | 0.0892818i | ||||
\(617\) | −2.96741 | − | 4.08429i | −0.119464 | − | 0.164427i | 0.745097 | − | 0.666956i | \(-0.232403\pi\) |
−0.864561 | + | 0.502529i | \(0.832403\pi\) | |||||||
\(618\) | −30.7106 | − | 6.87563i | −1.23536 | − | 0.276578i | ||||
\(619\) | 23.7563 | + | 32.6977i | 0.954846 | + | 1.31423i | 0.949341 | + | 0.314248i | \(0.101752\pi\) |
0.00550513 | + | 0.999985i | \(0.498248\pi\) | |||||||
\(620\) | −9.36372 | + | 33.0749i | −0.376056 | + | 1.32832i | ||||
\(621\) | 15.3383 | − | 0.817890i | 0.615503 | − | 0.0328208i | ||||
\(622\) | −0.863353 | + | 30.2101i | −0.0346173 | + | 1.21131i | ||||
\(623\) | 0.820211 | − | 2.52435i | 0.0328610 | − | 0.101136i | ||||
\(624\) | 0.182076 | + | 22.2162i | 0.00728886 | + | 0.889360i | ||||
\(625\) | 23.2013 | − | 9.31135i | 0.928051 | − | 0.372454i | ||||
\(626\) | 4.17873 | + | 6.11134i | 0.167016 | + | 0.244258i | ||||
\(627\) | −2.40010 | − | 5.14295i | −0.0958508 | − | 0.205389i | ||||
\(628\) | −30.2899 | + | 19.4653i | −1.20870 | + | 0.776749i | ||||
\(629\) | 5.89093 | − | 8.10818i | 0.234887 | − | 0.323294i | ||||
\(630\) | 22.9796 | − | 16.6129i | 0.915531 | − | 0.661874i | ||||
\(631\) | −6.69397 | − | 9.21346i | −0.266483 | − | 0.366782i | 0.654716 | − | 0.755875i | \(-0.272788\pi\) |
−0.921198 | + | 0.389093i | \(0.872788\pi\) | |||||||
\(632\) | 4.87874 | + | 20.9832i | 0.194066 | + | 0.834667i | ||||
\(633\) | 4.74672 | − | 24.4595i | 0.188665 | − | 0.972179i | ||||
\(634\) | −28.9046 | − | 22.2892i | −1.14795 | − | 0.885218i | ||||
\(635\) | 1.98345 | − | 8.92225i | 0.0787106 | − | 0.354069i | ||||
\(636\) | 34.5584 | − | 2.26114i | 1.37033 | − | 0.0896600i | ||||
\(637\) | −1.91639 | − | 5.89803i | −0.0759300 | − | 0.233688i | ||||
\(638\) | 5.30346 | + | 4.08967i | 0.209966 | + | 0.161912i | ||||
\(639\) | −18.9847 | − | 7.65689i | −0.751024 | − | 0.302902i | ||||
\(640\) | 21.9071 | − | 12.6522i | 0.865956 | − | 0.500121i | ||||
\(641\) | −28.9775 | + | 9.41538i | −1.14454 | + | 0.371885i | −0.819086 | − | 0.573671i | \(-0.805519\pi\) |
−0.325459 | + | 0.945556i | \(0.605519\pi\) | |||||||
\(642\) | 9.89400 | + | 22.8851i | 0.390485 | + | 0.903202i | ||||
\(643\) | − | 42.3873i | − | 1.67159i | −0.549040 | − | 0.835796i | \(-0.685007\pi\) | ||
0.549040 | − | 0.835796i | \(-0.314993\pi\) | |||||||
\(644\) | −17.0906 | + | 4.49193i | −0.673462 | + | 0.177007i | ||||
\(645\) | 5.57551 | + | 25.1824i | 0.219536 | + | 0.991555i | ||||
\(646\) | 0.519543 | − | 18.1796i | 0.0204411 | − | 0.715268i | ||||
\(647\) | 16.2344 | + | 11.7950i | 0.638240 | + | 0.463709i | 0.859245 | − | 0.511564i | \(-0.170934\pi\) |
−0.221005 | + | 0.975273i | \(0.570934\pi\) | |||||||
\(648\) | −5.65753 | + | 24.8192i | −0.222249 | + | 0.974990i | ||||
\(649\) | −1.64493 | −0.0645690 | ||||||||
\(650\) | 16.1165 | + | 15.9505i | 0.632141 | + | 0.625630i | ||||
\(651\) | 27.1476 | + | 29.0945i | 1.06400 | + | 1.14030i | ||||
\(652\) | −17.8940 | + | 21.8825i | −0.700783 | + | 0.856984i | ||||
\(653\) | 17.7577 | − | 24.4414i | 0.694914 | − | 0.956467i | −0.305077 | − | 0.952328i | \(-0.598682\pi\) |
0.999991 | − | 0.00413964i | \(-0.00131769\pi\) | |||||||
\(654\) | 16.8596 | − | 14.8535i | 0.659263 | − | 0.580820i | ||||
\(655\) | −16.1362 | − | 18.2600i | −0.630492 | − | 0.713476i | ||||
\(656\) | 3.63228 | − | 31.6450i | 0.141817 | − | 1.23553i | ||||
\(657\) | −1.24542 | + | 17.9675i | −0.0485884 | + | 0.700979i | ||||
\(658\) | 3.48712 | − | 9.77301i | 0.135942 | − | 0.380992i | ||||
\(659\) | −12.9115 | − | 39.7376i | −0.502961 | − | 1.54796i | −0.804171 | − | 0.594398i | \(-0.797390\pi\) |
0.301210 | − | 0.953558i | \(-0.402610\pi\) | |||||||
\(660\) | 1.79789 | + | 3.49677i | 0.0699827 | + | 0.136112i | ||||
\(661\) | −5.75491 | + | 17.7118i | −0.223840 | + | 0.688909i | 0.774567 | + | 0.632492i | \(0.217968\pi\) |
−0.998407 | + | 0.0564175i | \(0.982032\pi\) | |||||||
\(662\) | −37.4995 | − | 28.9171i | −1.45746 | − | 1.12389i | ||||
\(663\) | −9.67952 | − | 5.36159i | −0.375921 | − | 0.208227i | ||||
\(664\) | 2.97623 | − | 34.6388i | 0.115500 | − | 1.34425i | ||||
\(665\) | 28.5691 | + | 32.3293i | 1.10786 | + | 1.25368i | ||||
\(666\) | −15.9601 | − | 14.1711i | −0.618441 | − | 0.549118i | ||||
\(667\) | −16.2099 | − | 22.3110i | −0.627648 | − | 0.863884i | ||||
\(668\) | 4.37750 | − | 11.2428i | 0.169371 | − | 0.434998i | ||||
\(669\) | 4.91592 | − | 25.3314i | 0.190060 | − | 0.979367i | ||||
\(670\) | −6.68936 | + | 10.6348i | −0.258432 | + | 0.410857i | ||||
\(671\) | 4.44776 | + | 3.23148i | 0.171704 | + | 0.124750i | ||||
\(672\) | 0.596658 | − | 29.2797i | 0.0230166 | − | 1.12949i | ||||
\(673\) | 4.33127 | − | 13.3303i | 0.166958 | − | 0.513844i | −0.832217 | − | 0.554450i | \(-0.812929\pi\) |
0.999175 | + | 0.0406055i | \(0.0129287\pi\) | |||||||
\(674\) | 8.44936 | + | 12.3571i | 0.325457 | + | 0.475977i | ||||
\(675\) | 13.7623 | + | 22.0363i | 0.529710 | + | 0.848179i | ||||
\(676\) | 1.97146 | − | 5.06334i | 0.0758254 | − | 0.194744i | ||||
\(677\) | 11.7522 | + | 3.81852i | 0.451673 | + | 0.146758i | 0.526015 | − | 0.850475i | \(-0.323686\pi\) |
−0.0743417 | + | 0.997233i | \(0.523686\pi\) | |||||||
\(678\) | 0.0379541 | + | 0.0430800i | 0.00145762 | + | 0.00165448i | ||||
\(679\) | −8.78454 | + | 12.0909i | −0.337120 | + | 0.464005i | ||||
\(680\) | 0.122235 | + | 12.5993i | 0.00468752 | + | 0.483161i | ||||
\(681\) | −8.90563 | − | 1.72827i | −0.341264 | − | 0.0662273i | ||||
\(682\) | −4.55482 | + | 3.11444i | −0.174413 | + | 0.119258i | ||||
\(683\) | 38.1930 | − | 27.7488i | 1.46141 | − | 1.06178i | 0.478422 | − | 0.878130i | \(-0.341209\pi\) |
0.982992 | − | 0.183650i | \(-0.0587912\pi\) | |||||||
\(684\) | −38.4226 | − | 4.88051i | −1.46912 | − | 0.186611i | ||||
\(685\) | −18.1391 | − | 41.7834i | −0.693060 | − | 1.59646i | ||||
\(686\) | −6.03295 | − | 20.5472i | −0.230339 | − | 0.784494i | ||||
\(687\) | −21.9446 | + | 39.6176i | −0.837240 | + | 1.51151i | ||||
\(688\) | 24.2304 | + | 11.0669i | 0.923775 | + | 0.421921i | ||||
\(689\) | 30.4902 | + | 9.90688i | 1.16159 | + | 0.377422i | ||||
\(690\) | −3.04698 | − | 15.9016i | −0.115997 | − | 0.605364i | ||||
\(691\) | 32.2512 | − | 10.4791i | 1.22690 | − | 0.398642i | 0.377307 | − | 0.926088i | \(-0.376850\pi\) |
0.849589 | + | 0.527446i | \(0.176850\pi\) | |||||||
\(692\) | −16.1622 | + | 4.24794i | −0.614396 | + | 0.161483i | ||||
\(693\) | 4.54075 | + | 0.314742i | 0.172489 | + | 0.0119561i | ||||
\(694\) | 26.6823 | + | 9.52056i | 1.01285 | + | 0.361396i | ||||
\(695\) | 0.612630 | − | 2.75583i | 0.0232384 | − | 0.104534i | ||||
\(696\) | 42.9187 | − | 15.7116i | 1.62683 | − | 0.595546i | ||||
\(697\) | 12.8346 | + | 9.32485i | 0.486144 | + | 0.353204i | ||||
\(698\) | −4.11276 | + | 1.20757i | −0.155670 | + | 0.0457071i | ||||
\(699\) | −3.41791 | + | 3.18919i | −0.129277 | + | 0.120626i | ||||
\(700\) | −20.6350 | − | 21.6238i | −0.779929 | − | 0.817303i | ||||
\(701\) | 14.8993i | 0.562739i | 0.959600 | + | 0.281369i | \(0.0907886\pi\) | ||||
−0.959600 | + | 0.281369i | \(0.909211\pi\) | |||||||
\(702\) | −13.3758 | + | 19.4005i | −0.504839 | + | 0.732225i | ||||
\(703\) | 19.0879 | − | 26.2723i | 0.719915 | − | 0.990878i | ||||
\(704\) | 4.00132 | + | 0.692718i | 0.150806 | + | 0.0261078i | ||||
\(705\) | 8.71779 | + | 3.79346i | 0.328331 | + | 0.142870i | ||||
\(706\) | 5.33853 | − | 14.9618i | 0.200918 | − | 0.563094i | ||||
\(707\) | 7.23894 | 0.272248 | ||||||||
\(708\) | −5.99124 | + | 9.49315i | −0.225165 | + | 0.356774i | ||||
\(709\) | −3.08619 | − | 9.49831i | −0.115904 | − | 0.356717i | 0.876230 | − | 0.481893i | \(-0.160050\pi\) |
−0.992135 | + | 0.125176i | \(0.960050\pi\) | |||||||
\(710\) | −5.28236 | + | 20.9214i | −0.198243 | + | 0.785166i | ||||
\(711\) | −8.54675 | + | 21.1911i | −0.320528 | + | 0.794728i | ||||
\(712\) | 2.15093 | − | 1.29697i | 0.0806095 | − | 0.0486058i | ||||
\(713\) | 21.6094 | − | 7.02130i | 0.809277 | − | 0.262950i | ||||
\(714\) | 12.5522 | + | 7.42910i | 0.469753 | + | 0.278027i | ||||
\(715\) | 0.346756 | + | 3.62323i | 0.0129679 | + | 0.135501i | ||||
\(716\) | −2.63768 | − | 0.150884i | −0.0985747 | − | 0.00563879i | ||||
\(717\) | −1.61821 | − | 0.314036i | −0.0604330 | − | 0.0117279i | ||||
\(718\) | 27.7403 | + | 40.5698i | 1.03526 | + | 1.51405i | ||||
\(719\) | 9.18586 | − | 6.67392i | 0.342575 | − | 0.248895i | −0.403173 | − | 0.915124i | \(-0.632093\pi\) |
0.745747 | + | 0.666229i | \(0.232093\pi\) | |||||||
\(720\) | 26.7288 | + | 2.36020i | 0.996124 | + | 0.0879596i | ||||
\(721\) | 31.0679 | + | 22.5721i | 1.15703 | + | 0.840630i | ||||
\(722\) | 0.915847 | − | 32.0470i | 0.0340843 | − | 1.19266i | ||||
\(723\) | −37.2310 | + | 17.3749i | −1.38464 | + | 0.646180i | ||||
\(724\) | −5.56813 | + | 14.3007i | −0.206938 | + | 0.531483i | ||||
\(725\) | 19.7628 | − | 42.2533i | 0.733970 | − | 1.56925i | ||||
\(726\) | 5.74881 | − | 25.6776i | 0.213358 | − | 0.952984i | ||||
\(727\) | −9.35927 | − | 3.04101i | −0.347116 | − | 0.112785i | 0.130270 | − | 0.991479i | \(-0.458416\pi\) |
−0.477386 | + | 0.878694i | \(0.658416\pi\) | |||||||
\(728\) | 10.5539 | − | 24.9713i | 0.391154 | − | 0.925500i | ||||
\(729\) | −20.0319 | + | 18.1031i | −0.741921 | + | 0.670487i | ||||
\(730\) | 18.9425 | − | 1.26805i | 0.701092 | − | 0.0469326i | ||||
\(731\) | −10.7334 | + | 7.79827i | −0.396989 | + | 0.288429i | ||||
\(732\) | 34.8493 | − | 13.8989i | 1.28807 | − | 0.513718i | ||||
\(733\) | −14.8246 | + | 10.7707i | −0.547557 | + | 0.397824i | −0.826884 | − | 0.562372i | \(-0.809889\pi\) |
0.279327 | + | 0.960196i | \(0.409889\pi\) | |||||||
\(734\) | 29.5430 | + | 22.7815i | 1.09045 | + | 0.840881i | ||||
\(735\) | −7.31291 | + | 1.61912i | −0.269741 | + | 0.0597220i | ||||
\(736\) | −15.0058 | − | 7.37885i | −0.553122 | − | 0.271988i | ||||
\(737\) | −1.91800 | + | 0.623197i | −0.0706505 | + | 0.0229558i | ||||
\(738\) | 22.4316 | − | 25.2635i | 0.825719 | − | 0.929962i | ||||
\(739\) | −8.91682 | − | 2.89725i | −0.328011 | − | 0.106577i | 0.140382 | − | 0.990097i | \(-0.455167\pi\) |
−0.468393 | + | 0.883520i | \(0.655167\pi\) | |||||||
\(740\) | −12.5179 | + | 18.6939i | −0.460166 | + | 0.687202i | ||||
\(741\) | −31.3638 | − | 17.3727i | −1.15218 | − | 0.638204i | ||||
\(742\) | −39.8019 | − | 14.2018i | −1.46117 | − | 0.521363i | ||||
\(743\) | 13.3660 | 0.490352 | 0.245176 | − | 0.969479i | \(-0.421154\pi\) | ||||
0.245176 | + | 0.969479i | \(0.421154\pi\) | |||||||
\(744\) | 1.38413 | + | 37.6302i | 0.0507448 | + | 1.37959i | ||||
\(745\) | −36.8337 | + | 3.52512i | −1.34948 | + | 0.129150i | ||||
\(746\) | −0.422535 | + | 14.7852i | −0.0154701 | + | 0.541324i | ||||
\(747\) | 23.6858 | − | 28.2626i | 0.866618 | − | 1.03407i | ||||
\(748\) | −1.28031 | + | 1.56569i | −0.0468129 | + | 0.0572473i | ||||
\(749\) | − | 30.4234i | − | 1.11165i | ||||||
\(750\) | 21.0462 | − | 17.5231i | 0.768498 | − | 0.639852i | ||||
\(751\) | − | 6.02152i | − | 0.219728i | −0.993947 | − | 0.109864i | \(-0.964958\pi\) | ||
0.993947 | − | 0.109864i | \(-0.0350416\pi\) | |||||||
\(752\) | 8.55021 | − | 4.82805i | 0.311794 | − | 0.176061i | ||||
\(753\) | 2.67092 | + | 21.6983i | 0.0973337 | + | 0.790729i | ||||
\(754\) | 42.2914 | + | 1.20862i | 1.54016 | + | 0.0440152i | ||||
\(755\) | −38.9385 | + | 3.72656i | −1.41712 | + | 0.135623i | ||||
\(756\) | 18.3550 | − | 25.0591i | 0.667564 | − | 0.911389i | ||||
\(757\) | −28.1075 | −1.02159 | −0.510793 | − | 0.859704i | \(-0.670648\pi\) | ||||
−0.510793 | + | 0.859704i | \(0.670648\pi\) | |||||||
\(758\) | 15.2498 | − | 42.7390i | 0.553897 | − | 1.55235i | ||||
\(759\) | 1.25930 | − | 2.27347i | 0.0457098 | − | 0.0825219i | ||||
\(760\) | 0.396070 | + | 40.8245i | 0.0143670 | + | 1.48086i | ||||
\(761\) | −24.0839 | − | 7.82533i | −0.873040 | − | 0.283668i | −0.161975 | − | 0.986795i | \(-0.551787\pi\) |
−0.711064 | + | 0.703127i | \(0.751787\pi\) | |||||||
\(762\) | −0.938855 | − | 9.96831i | −0.0340111 | − | 0.361114i | ||||
\(763\) | −26.0761 | + | 8.47265i | −0.944020 | + | 0.306731i | ||||
\(764\) | −4.24908 | − | 3.47461i | −0.153726 | − | 0.125707i | ||||
\(765\) | −7.56925 | + | 11.0140i | −0.273667 | + | 0.398212i | ||||
\(766\) | −16.2427 | + | 21.0635i | −0.586874 | + | 0.761056i | ||||
\(767\) | −8.40702 | + | 6.10806i | −0.303560 | + | 0.220549i | ||||
\(768\) | 18.5716 | − | 20.5693i | 0.670146 | − | 0.742230i | ||||
\(769\) | 1.97124 | − | 1.43219i | 0.0710848 | − | 0.0516461i | −0.551675 | − | 0.834059i | \(-0.686011\pi\) |
0.622760 | + | 0.782413i | \(0.286011\pi\) | |||||||
\(770\) | −0.320462 | − | 4.78714i | −0.0115486 | − | 0.172517i | ||||
\(771\) | 19.0078 | − | 2.33974i | 0.684548 | − | 0.0842635i | ||||
\(772\) | −28.8728 | + | 18.5546i | −1.03916 | + | 0.667794i | ||||
\(773\) | −30.0829 | − | 9.77453i | −1.08201 | − | 0.351565i | −0.286854 | − | 0.957974i | \(-0.592609\pi\) |
−0.795153 | + | 0.606409i | \(0.792609\pi\) | |||||||
\(774\) | 14.2966 | + | 24.3699i | 0.513880 | + | 0.875960i | ||||
\(775\) | 28.0771 | + | 26.2433i | 1.00856 | + | 0.942686i | ||||
\(776\) | −13.7750 | + | 3.20278i | −0.494494 | + | 0.114973i | ||||
\(777\) | 11.0139 | + | 23.6007i | 0.395122 | + | 0.846669i | ||||
\(778\) | −10.8299 | − | 0.309499i | −0.388269 | − | 0.0110961i | ||||
\(779\) | 41.5868 | + | 30.2146i | 1.49000 | + | 1.08255i | ||||
\(780\) | 22.1732 | + | 11.1955i | 0.793929 | + | 0.400864i | ||||
\(781\) | −2.80217 | + | 2.03590i | −0.100269 | + | 0.0728501i | ||||
\(782\) | 6.87492 | − | 4.70084i | 0.245847 | − | 0.168102i | ||||
\(783\) | 46.8362 | + | 12.5039i | 1.67379 | + | 0.446853i | ||||
\(784\) | −3.21380 | + | 7.03645i | −0.114779 | + | 0.251302i | ||||
\(785\) | 3.83503 | + | 40.0720i | 0.136878 | + | 1.43023i | ||||
\(786\) | −22.9719 | − | 13.5961i | −0.819381 | − | 0.484957i | ||||
\(787\) | 19.8925 | − | 6.46347i | 0.709091 | − | 0.230398i | 0.0678040 | − | 0.997699i | \(-0.478401\pi\) |
0.641287 | + | 0.767301i | \(0.278401\pi\) | |||||||
\(788\) | 0.122423 | − | 2.14014i | 0.00436113 | − | 0.0762392i | ||||
\(789\) | −10.9653 | + | 5.11727i | −0.390375 | + | 0.182180i | ||||
\(790\) | 23.3529 | + | 5.89626i | 0.830857 | + | 0.209780i | ||||
\(791\) | −0.0216495 | − | 0.0666303i | −0.000769767 | − | 0.00236910i | ||||
\(792\) | 3.05222 | + | 3.03904i | 0.108456 | + | 0.107987i | ||||
\(793\) | 34.7313 | 1.23335 | ||||||||
\(794\) | −13.8253 | − | 4.93303i | −0.490642 | − | 0.175067i | ||||
\(795\) | 15.4494 | − | 35.5044i | 0.547933 | − | 1.25921i | ||||
\(796\) | 9.98152 | + | 15.5323i | 0.353785 | + | 0.550527i | ||||
\(797\) | −21.2407 | + | 29.2353i | −0.752383 | + | 1.03557i | 0.245426 | + | 0.969415i | \(0.421072\pi\) |
−0.997810 | + | 0.0661516i | \(0.978928\pi\) | |||||||
\(798\) | 40.6718 | + | 24.0719i | 1.43976 | + | 0.852137i | ||||
\(799\) | 4.89048i | 0.173013i | ||||||||
\(800\) | −1.35637 | − | 28.2517i | −0.0479550 | − | 0.998849i | ||||
\(801\) | 2.65768 | + | 0.184217i | 0.0939045 | + | 0.00650900i | ||||
\(802\) | 5.86339 | + | 19.9696i | 0.207043 | + | 0.705153i | ||||
\(803\) | 2.46542 | + | 1.79123i | 0.0870028 | + | 0.0632113i | ||||
\(804\) | −3.38928 | + | 13.3390i | −0.119531 | + | 0.470429i | ||||
\(805\) | −4.28734 | + | 19.2860i | −0.151109 | + | 0.679742i | ||||
\(806\) | −11.7144 | + | 32.8308i | −0.412622 | + | 1.15642i | ||||
\(807\) | −6.50877 | + | 6.07323i | −0.229119 | + | 0.213788i | ||||
\(808\) | 5.17685 | + | 4.48605i | 0.182121 | + | 0.157819i | ||||
\(809\) | 3.85413 | − | 1.25228i | 0.135504 | − | 0.0440279i | −0.240480 | − | 0.970654i | \(-0.577305\pi\) |
0.375984 | + | 0.926626i | \(0.377305\pi\) | |||||||
\(810\) | 21.7699 | + | 18.3322i | 0.764916 | + | 0.644130i | ||||
\(811\) | −46.2421 | − | 15.0250i | −1.62378 | − | 0.527598i | −0.650951 | − | 0.759120i | \(-0.725630\pi\) |
−0.972830 | + | 0.231522i | \(0.925630\pi\) | |||||||
\(812\) | −55.6790 | − | 3.18502i | −1.95395 | − | 0.111772i | ||||
\(813\) | −11.3589 | − | 6.29182i | −0.398374 | − | 0.220664i | ||||
\(814\) | −3.46508 | + | 1.01740i | −0.121451 | + | 0.0356598i | ||||
\(815\) | 12.5852 | + | 28.9898i | 0.440839 | + | 1.01547i | ||||
\(816\) | 4.37264 | + | 13.0915i | 0.153073 | + | 0.458296i | ||||
\(817\) | −34.7786 | + | 25.2681i | −1.21675 | + | 0.884019i | ||||
\(818\) | −14.9956 | − | 21.9309i | −0.524310 | − | 0.766796i | ||||
\(819\) | 24.3759 | − | 15.2524i | 0.851764 | − | 0.532963i | ||||
\(820\) | −29.5909 | − | 19.8148i | −1.03336 | − | 0.691961i | ||||
\(821\) | 18.1000 | − | 24.9125i | 0.631695 | − | 0.869453i | −0.366444 | − | 0.930440i | \(-0.619425\pi\) |
0.998139 | + | 0.0609870i | \(0.0194248\pi\) | |||||||
\(822\) | −32.9857 | − | 37.4406i | −1.15051 | − | 1.30589i | ||||
\(823\) | −3.79903 | − | 1.23438i | −0.132426 | − | 0.0430278i | 0.242054 | − | 0.970263i | \(-0.422179\pi\) |
−0.374480 | + | 0.927235i | \(0.622179\pi\) | |||||||
\(824\) | 8.22964 | + | 35.3953i | 0.286693 | + | 1.23305i | ||||
\(825\) | 4.39599 | + | 0.00376240i | 0.153049 | + | 0.000130990i | ||||
\(826\) | 11.3074 | − | 7.73160i | 0.393434 | − | 0.269017i | ||||
\(827\) | −1.99564 | + | 6.14196i | −0.0693954 | + | 0.213577i | −0.979740 | − | 0.200274i | \(-0.935817\pi\) |
0.910344 | + | 0.413851i | \(0.135817\pi\) | |||||||
\(828\) | −8.53391 | − | 15.5482i | −0.296574 | − | 0.540338i | ||||
\(829\) | −42.1208 | − | 30.6026i | −1.46292 | − | 1.06287i | −0.982591 | − | 0.185781i | \(-0.940518\pi\) |
−0.480326 | − | 0.877090i | \(-0.659482\pi\) | |||||||
\(830\) | −32.9023 | − | 20.6958i | −1.14206 | − | 0.718362i | ||||
\(831\) | 27.5760 | + | 5.35153i | 0.956602 | + | 0.185642i | ||||
\(832\) | 23.0225 | − | 11.3176i | 0.798162 | − | 0.392367i | ||||
\(833\) | −2.26460 | − | 3.11696i | −0.0784638 | − | 0.107996i | ||||
\(834\) | −0.289986 | − | 3.07893i | −0.0100414 | − | 0.106615i | ||||
\(835\) | −8.93226 | − | 10.1079i | −0.309113 | − | 0.349798i | ||||
\(836\) | −4.14850 | + | 5.07318i | −0.143479 | + | 0.175460i | ||||
\(837\) | −21.7222 | + | 33.5163i | −0.750830 | + | 1.15849i | ||||
\(838\) | −11.2738 | + | 14.6198i | −0.389446 | + | 0.505032i | ||||
\(839\) | −10.1592 | + | 31.2668i | −0.350734 | + | 1.07945i | 0.607707 | + | 0.794161i | \(0.292089\pi\) |
−0.958442 | + | 0.285289i | \(0.907911\pi\) | |||||||
\(840\) | −28.7946 | − | 15.5865i | −0.993508 | − | 0.537787i | ||||
\(841\) | −17.9342 | − | 55.1958i | −0.618421 | − | 1.90330i | ||||
\(842\) | 19.2031 | + | 6.85188i | 0.661783 | + | 0.236131i | ||||
\(843\) | −22.2688 | + | 20.7787i | −0.766978 | + | 0.715655i | ||||
\(844\) | −27.8253 | + | 7.31336i | −0.957787 | + | 0.251736i | ||||
\(845\) | −4.02275 | − | 4.55221i | −0.138387 | − | 0.156601i | ||||
\(846\) | 10.3651 | + | 1.01668i | 0.356358 | + | 0.0349543i | ||||
\(847\) | −18.8729 | + | 25.9763i | −0.648480 | + | 0.892556i | ||||
\(848\) | −19.6629 | − | 34.8219i | −0.675226 | − | 1.19579i | ||||
\(849\) | −5.62240 | + | 5.24618i | −0.192960 | + | 0.180048i | ||||
\(850\) | 12.5846 | + | 6.33036i | 0.431649 | + | 0.217130i | ||||
\(851\) | 14.8710 | 0.509770 | ||||||||
\(852\) | 1.54329 | + | 23.5870i | 0.0528722 | + | 0.808079i | ||||
\(853\) | −2.23708 | − | 1.62533i | −0.0765962 | − | 0.0556504i | 0.548828 | − | 0.835935i | \(-0.315074\pi\) |
−0.625424 | + | 0.780285i | \(0.715074\pi\) | |||||||
\(854\) | −45.7631 | − | 1.30783i | −1.56598 | − | 0.0447531i | ||||
\(855\) | −24.5260 | + | 35.6878i | −0.838772 | + | 1.22050i | ||||
\(856\) | 18.8537 | − | 21.7569i | 0.644406 | − | 0.743636i | ||||
\(857\) | 4.42066i | 0.151007i | 0.997146 | + | 0.0755034i | \(0.0240564\pi\) | ||||
−0.997146 | + | 0.0755034i | \(0.975944\pi\) | |||||||
\(858\) | 1.58225 | + | 3.65979i | 0.0540172 | + | 0.124943i | ||||
\(859\) | −9.54895 | + | 3.10264i | −0.325806 | + | 0.105861i | −0.467353 | − | 0.884071i | \(-0.654792\pi\) |
0.141547 | + | 0.989932i | \(0.454792\pi\) | |||||||
\(860\) | 23.4069 | − | 18.4147i | 0.798169 | − | 0.627936i | ||||
\(861\) | −37.3579 | + | 17.4341i | −1.27315 | + | 0.594153i | ||||
\(862\) | 27.7283 | − | 35.9579i | 0.944429 | − | 1.22473i | ||||
\(863\) | −5.93254 | − | 18.2585i | −0.201946 | − | 0.621526i | −0.999825 | − | 0.0187083i | \(-0.994045\pi\) |
0.797879 | − | 0.602818i | \(-0.205955\pi\) | |||||||
\(864\) | 28.6557 | − | 6.54592i | 0.974888 | − | 0.222697i | ||||
\(865\) | −4.05446 | + | 18.2384i | −0.137856 | + | 0.620125i | ||||
\(866\) | 8.54366 | − | 11.0794i | 0.290325 | − | 0.376493i | ||||
\(867\) | 22.1571 | + | 4.29991i | 0.752495 | + | 0.146032i | ||||
\(868\) | 16.6715 | − | 42.8178i | 0.565869 | − | 1.45333i | ||||
\(869\) | 2.27250 | + | 3.12783i | 0.0770894 | + | 0.106104i | ||||
\(870\) | 6.36259 | − | 50.7011i | 0.215712 | − | 1.71893i | ||||
\(871\) | −7.48858 | + | 10.3071i | −0.253741 | + | 0.349244i | ||||
\(872\) | −23.8986 | − | 10.1005i | −0.809310 | − | 0.342048i | ||||
\(873\) | −13.9115 | − | 5.61075i | −0.470832 | − | 0.189895i | ||||
\(874\) | 22.2762 | − | 15.2318i | 0.753505 | − | 0.515222i | ||||
\(875\) | −32.0580 | + | 9.43534i | −1.08376 | + | 0.318973i | ||||
\(876\) | 19.3172 | − | 7.70424i | 0.652668 | − | 0.260302i | ||||
\(877\) | −5.90787 | + | 18.1826i | −0.199495 | + | 0.613982i | 0.800400 | + | 0.599466i | \(0.204621\pi\) |
−0.999895 | + | 0.0145153i | \(0.995379\pi\) | |||||||
\(878\) | 41.7868 | + | 1.19419i | 1.41024 | + | 0.0403021i | ||||
\(879\) | −31.5396 | + | 3.88232i | −1.06380 | + | 0.130947i | ||||
\(880\) | 2.73747 | − | 3.62206i | 0.0922800 | − | 0.122100i | ||||
\(881\) | −10.6050 | − | 14.5966i | −0.357292 | − | 0.491771i | 0.592099 | − | 0.805865i | \(-0.298299\pi\) |
−0.949392 | + | 0.314094i | \(0.898299\pi\) | |||||||
\(882\) | −7.07698 | + | 4.15169i | −0.238294 | + | 0.139795i | ||||
\(883\) | 5.34139 | + | 7.35180i | 0.179752 | + | 0.247408i | 0.889380 | − | 0.457169i | \(-0.151137\pi\) |
−0.709627 | + | 0.704577i | \(0.751137\pi\) | |||||||
\(884\) | −0.729696 | + | 12.7562i | −0.0245423 | + | 0.429037i | ||||
\(885\) | 6.36695 | + | 10.8158i | 0.214023 | + | 0.363568i | ||||
\(886\) | −28.2214 | + | 8.28623i | −0.948117 | + | 0.278381i | ||||
\(887\) | −2.66967 | − | 8.21641i | −0.0896389 | − | 0.275880i | 0.896181 | − | 0.443689i | \(-0.146331\pi\) |
−0.985819 | + | 0.167809i | \(0.946331\pi\) | |||||||
\(888\) | −6.74911 | + | 23.7032i | −0.226485 | + | 0.795427i | ||||
\(889\) | −3.77543 | + | 11.6196i | −0.126624 | + | 0.389708i | ||||
\(890\) | −0.187565 | − | 2.80189i | −0.00628719 | − | 0.0939196i | ||||
\(891\) | 0.798780 | + | 4.49807i | 0.0267601 | + | 0.150691i | ||||
\(892\) | −28.8171 | + | 7.57404i | −0.964869 | + | 0.253598i | ||||
\(893\) | 15.8462i | 0.530274i | ||||||||
\(894\) | −37.2055 | + | 16.0852i | −1.24434 | + | 0.537969i | ||||
\(895\) | −1.50066 | + | 2.54424i | −0.0501616 | + | 0.0850446i | ||||
\(896\) | −30.7614 | + | 14.0455i | −1.02767 | + | 0.469228i | ||||
\(897\) | −2.00588 | − | 16.2956i | −0.0669744 | − | 0.544093i | ||||
\(898\) | 6.85323 | + | 23.3409i | 0.228695 | + | 0.778895i | ||||
\(899\) | 71.7092 | 2.39164 | ||||||||
\(900\) | 16.0330 | − | 25.3563i | 0.534434 | − | 0.845210i | ||||
\(901\) | 19.9171 | 0.663536 | ||||||||
\(902\) | −1.61046 | − | 5.48493i | −0.0536224 | − | 0.182628i | ||||
\(903\) | −4.21206 | − | 34.2183i | −0.140168 | − | 1.13872i | ||||
\(904\) | 0.0258091 | − | 0.0610663i | 0.000858398 | − | 0.00203103i | ||||
\(905\) | 11.3617 | + | 12.8571i | 0.377677 | + | 0.427385i | ||||
\(906\) | −39.3315 | + | 17.0043i | −1.30670 | + | 0.564932i | ||||
\(907\) | − | 20.1838i | − | 0.670192i | −0.942184 | − | 0.335096i | \(-0.891231\pi\) | ||
0.942184 | − | 0.335096i | \(-0.108769\pi\) | |||||||
\(908\) | 2.66277 | + | 10.1311i | 0.0883671 | + | 0.336212i | ||||
\(909\) | 1.76202 | + | 7.04878i | 0.0584424 | + | 0.233793i | ||||
\(910\) | −19.4138 | − | 23.2765i | −0.643561 | − | 0.771609i | ||||
\(911\) | −2.12064 | + | 6.52667i | −0.0702601 | + | 0.216238i | −0.980021 | − | 0.198895i | \(-0.936265\pi\) |
0.909761 | + | 0.415133i | \(0.136265\pi\) | |||||||
\(912\) | 14.1683 | + | 42.4195i | 0.469160 | + | 1.40465i | ||||
\(913\) | −1.92807 | − | 5.93400i | −0.0638099 | − | 0.196387i | ||||
\(914\) | −55.2839 | + | 16.2322i | −1.82863 | + | 0.536913i | ||||
\(915\) | 4.03197 | − | 41.7530i | 0.133293 | − | 1.38031i | ||||
\(916\) | 52.2102 | + | 2.98660i | 1.72507 | + | 0.0986799i | ||||
\(917\) | 19.1459 | + | 26.3520i | 0.632253 | + | 0.870221i | ||||
\(918\) | −4.17864 | + | 14.0307i | −0.137916 | + | 0.463083i | ||||
\(919\) | −19.2727 | − | 26.5266i | −0.635749 | − | 0.875033i | 0.362631 | − | 0.931933i | \(-0.381878\pi\) |
−0.998380 | + | 0.0568998i | \(0.981878\pi\) | |||||||
\(920\) | −15.0178 | + | 11.1352i | −0.495121 | + | 0.367118i | ||||
\(921\) | −15.0844 | + | 1.85679i | −0.497047 | + | 0.0611833i | ||||
\(922\) | −35.4691 | − | 1.01365i | −1.16811 | − | 0.0333827i | ||||
\(923\) | −6.76172 | + | 20.8104i | −0.222565 | + | 0.684983i | ||||
\(924\) | −1.94702 | − | 4.88184i | −0.0640522 | − | 0.160601i | ||||
\(925\) | 12.1691 | + | 22.0139i | 0.400119 | + | 0.723813i | ||||
\(926\) | −39.3973 | + | 26.9386i | −1.29468 | + | 0.885257i | ||||
\(927\) | −14.4170 | + | 35.7460i | −0.473516 | + | 1.17405i | ||||
\(928\) | −37.8444 | − | 36.7826i | −1.24230 | − | 1.20745i | ||||
\(929\) | −2.70265 | + | 3.71988i | −0.0886711 | + | 0.122045i | −0.851048 | − | 0.525088i | \(-0.824032\pi\) |
0.762377 | + | 0.647133i | \(0.224032\pi\) | |||||||
\(930\) | 38.1083 | + | 17.8940i | 1.24962 | + | 0.586769i | ||||
\(931\) | −7.33781 | − | 10.0996i | −0.240487 | − | 0.331002i | ||||
\(932\) | 5.03007 | + | 1.95851i | 0.164766 | + | 0.0641531i | ||||
\(933\) | 36.3369 | + | 7.05169i | 1.18962 | + | 0.230862i | ||||
\(934\) | 0.179349 | − | 0.232579i | 0.00586849 | − | 0.00761022i | ||||
\(935\) | 0.900466 | + | 2.07422i | 0.0294484 | + | 0.0678343i | ||||
\(936\) | 26.8843 | + | 4.19844i | 0.878739 | + | 0.137230i | ||||
\(937\) | −11.8883 | − | 36.5884i | −0.388374 | − | 1.19529i | −0.934003 | − | 0.357265i | \(-0.883709\pi\) |
0.545629 | − | 0.838027i | \(-0.316291\pi\) | |||||||
\(938\) | 10.2553 | − | 13.2990i | 0.334848 | − | 0.434229i | ||||
\(939\) | 8.21657 | − | 3.83449i | 0.268138 | − | 0.125134i | ||||
\(940\) | −0.420054 | − | 10.9701i | −0.0137006 | − | 0.357806i | ||||
\(941\) | 10.5661 | − | 3.43313i | 0.344445 | − | 0.111917i | −0.131686 | − | 0.991292i | \(-0.542039\pi\) |
0.476131 | + | 0.879375i | \(0.342039\pi\) | |||||||
\(942\) | 17.4993 | + | 40.4764i | 0.570159 | + | 1.31879i | ||||
\(943\) | 23.5395i | 0.766552i | ||||||||
\(944\) | 12.8777 | + | 1.47813i | 0.419133 | + | 0.0481090i | ||||
\(945\) | −15.5062 | − | 31.0747i | −0.504416 | − | 1.01086i | ||||
\(946\) | 4.77867 | + | 0.136566i | 0.155368 | + | 0.00444015i | ||||
\(947\) | 10.3262 | + | 7.50242i | 0.335556 | + | 0.243796i | 0.742785 | − | 0.669530i | \(-0.233505\pi\) |
−0.407228 | + | 0.913326i | \(0.633505\pi\) | |||||||
\(948\) | 26.3283 | − | 1.72265i | 0.855103 | − | 0.0559490i | ||||
\(949\) | 19.2518 | 0.624940 | ||||||||
\(950\) | 40.7770 | + | 20.5118i | 1.32298 | + | 0.665489i | ||||
\(951\) | −32.6850 | + | 30.4978i | −1.05988 | + | 0.988960i | ||||
\(952\) | 1.44182 | − | 16.7805i | 0.0467295 | − | 0.543859i | ||||
\(953\) | 20.6052 | − | 28.3606i | 0.667467 | − | 0.918689i | −0.332233 | − | 0.943197i | \(-0.607802\pi\) |
0.999700 | + | 0.0245083i | \(0.00780203\pi\) | |||||||
\(954\) | 4.14059 | − | 42.2131i | 0.134056 | − | 1.36670i | ||||
\(955\) | −5.62917 | + | 2.44375i | −0.182156 | + | 0.0790779i | ||||
\(956\) | 0.483842 | + | 1.84088i | 0.0156486 | + | 0.0595384i | ||||
\(957\) | 5.99710 | − | 5.59580i | 0.193859 | − | 0.180886i | ||||
\(958\) | −38.2248 | − | 13.6390i | −1.23499 | − | 0.440657i | ||||
\(959\) | 18.8154 | + | 57.9080i | 0.607583 | + | 1.86995i | ||||
\(960\) | −10.9330 | − | 28.9909i | −0.352861 | − | 0.935676i | ||||
\(961\) | −8.67759 | + | 26.7069i | −0.279922 | + | 0.861512i | ||||
\(962\) | −13.9317 | + | 18.0666i | −0.449177 | + | 0.582490i | ||||
\(963\) | 29.6241 | − | 7.40529i | 0.954625 | − | 0.238632i | ||||
\(964\) | 36.7260 | + | 30.0320i | 1.18286 | + | 0.967264i | ||||
\(965\) | 3.65561 | + | 38.1972i | 0.117678 | + | 1.22961i | ||||
\(966\) | 2.02939 | + | 21.5471i | 0.0652947 | + | 0.693267i | ||||
\(967\) | 19.5840 | + | 26.9550i | 0.629778 | + | 0.866816i | 0.998019 | − | 0.0629149i | \(-0.0200397\pi\) |
−0.368240 | + | 0.929731i | \(0.620040\pi\) | |||||||
\(968\) | −29.5945 | + | 6.88092i | −0.951204 | + | 0.221161i | ||||
\(969\) | −21.8666 | − | 4.24352i | −0.702455 | − | 0.136322i | ||||
\(970\) | −3.87076 | + | 15.3306i | −0.124283 | + | 0.492237i | ||||
\(971\) | −9.41649 | − | 6.84148i | −0.302190 | − | 0.219554i | 0.426348 | − | 0.904559i | \(-0.359800\pi\) |
−0.728538 | + | 0.685005i | \(0.759800\pi\) | |||||||
\(972\) | 28.8685 | + | 11.7732i | 0.925958 | + | 0.377626i | ||||
\(973\) | −1.16612 | + | 3.58896i | −0.0373842 | + | 0.115057i | ||||
\(974\) | −29.9728 | + | 20.4944i | −0.960390 | + | 0.656683i | ||||
\(975\) | 22.4813 | − | 16.3043i | 0.719979 | − | 0.522154i | ||||
\(976\) | −31.9165 | − | 29.2952i | −1.02162 | − | 0.937716i | ||||
\(977\) | 13.2776 | + | 4.31414i | 0.424786 | + | 0.138021i | 0.513606 | − | 0.858026i | \(-0.328309\pi\) |
−0.0888193 | + | 0.996048i | \(0.528309\pi\) | |||||||
\(978\) | 22.8859 | + | 25.9768i | 0.731810 | + | 0.830646i | ||||
\(979\) | 0.264952 | − | 0.364675i | 0.00846790 | − | 0.0116551i | ||||
\(980\) | 5.34759 | + | 6.79732i | 0.170822 | + | 0.217132i | ||||
\(981\) | −14.5972 | − | 23.3288i | −0.466053 | − | 0.744832i | ||||
\(982\) | 5.95481 | + | 8.70883i | 0.190026 | + | 0.277910i | ||||
\(983\) | 1.17392 | − | 0.852906i | 0.0374424 | − | 0.0272035i | −0.568907 | − | 0.822402i | \(-0.692633\pi\) |
0.606349 | + | 0.795199i | \(0.292633\pi\) | |||||||
\(984\) | −37.5202 | − | 10.6833i | −1.19610 | − | 0.340570i | ||||
\(985\) | −2.06432 | − | 1.21759i | −0.0657749 | − | 0.0387958i | ||||
\(986\) | 25.2200 | − | 7.40497i | 0.803168 | − | 0.235822i | ||||
\(987\) | −11.1170 | − | 6.15785i | −0.353859 | − | 0.196007i | ||||
\(988\) | −2.36438 | + | 41.3329i | −0.0752208 | + | 1.31497i | ||||
\(989\) | −18.7223 | − | 6.08325i | −0.595335 | − | 0.193436i | ||||
\(990\) | 4.58338 | − | 1.47727i | 0.145669 | − | 0.0469507i | ||||
\(991\) | 31.0442 | − | 10.0869i | 0.986152 | − | 0.320420i | 0.228833 | − | 0.973466i | \(-0.426509\pi\) |
0.757319 | + | 0.653045i | \(0.226509\pi\) | |||||||
\(992\) | 38.4571 | − | 20.2891i | 1.22102 | − | 0.644181i | ||||
\(993\) | −42.4041 | + | 39.5666i | −1.34565 | + | 1.25561i | ||||
\(994\) | 9.69309 | − | 27.1659i | 0.307446 | − | 0.861649i | ||||
\(995\) | 20.5484 | − | 1.96655i | 0.651427 | − | 0.0623439i | ||||
\(996\) | −41.2686 | − | 10.4859i | −1.30765 | − | 0.332258i | ||||
\(997\) | 15.5394 | + | 11.2900i | 0.492136 | + | 0.357558i | 0.806005 | − | 0.591908i | \(-0.201625\pi\) |
−0.313869 | + | 0.949466i | \(0.601625\pi\) | |||||||
\(998\) | 1.80581 | + | 6.15027i | 0.0571620 | + | 0.194683i | ||||
\(999\) | −20.2998 | + | 16.4692i | −0.642258 | + | 0.521062i |
(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 | 300.2.n.a.71.6 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.71.51 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.71.17 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.71.40 | yes | 224 | |
25.6 | even | 5 | inner | 300.2.n.a.131.40 | yes | 224 | |
75.56 | odd | 10 | inner | 300.2.n.a.131.17 | yes | 224 | |
100.31 | odd | 10 | inner | 300.2.n.a.131.51 | yes | 224 | |
300.131 | even | 10 | inner | 300.2.n.a.131.6 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.6 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.71.17 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.71.40 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.71.51 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.131.6 | yes | 224 | 300.131 | even | 10 | inner | |
300.2.n.a.131.17 | yes | 224 | 75.56 | odd | 10 | inner | |
300.2.n.a.131.40 | yes | 224 | 25.6 | even | 5 | inner | |
300.2.n.a.131.51 | yes | 224 | 100.31 | odd | 10 | inner |