Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(13,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 45]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 13.19 | ||
Character | \(\chi\) | \(=\) | 354.13 |
Dual form | 354.3.f.a.109.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{45}{58}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07786 | − | 0.915542i | 0.538930 | − | 0.457771i | ||||
\(3\) | 1.37887 | − | 1.04819i | 0.459625 | − | 0.349397i | ||||
\(4\) | 0.323564 | − | 1.97365i | 0.0808910 | − | 0.493413i | ||||
\(5\) | 2.48920 | − | 4.69513i | 0.497840 | − | 0.939026i | −0.499512 | − | 0.866307i | \(-0.666487\pi\) |
0.997352 | − | 0.0727194i | \(-0.0231678\pi\) | |||||||
\(6\) | 0.526568 | − | 2.39222i | 0.0877613 | − | 0.398704i | ||||
\(7\) | −5.51808 | + | 0.600128i | −0.788297 | + | 0.0857325i | −0.493407 | − | 0.869799i | \(-0.664249\pi\) |
−0.294890 | + | 0.955531i | \(0.595283\pi\) | |||||||
\(8\) | −1.45821 | − | 2.42356i | −0.182276 | − | 0.302945i | ||||
\(9\) | 0.802585 | − | 2.89065i | 0.0891761 | − | 0.321183i | ||||
\(10\) | −1.61558 | − | 7.33966i | −0.161558 | − | 0.733966i | ||||
\(11\) | −1.92458 | − | 5.71196i | −0.174962 | − | 0.519269i | 0.823912 | − | 0.566718i | \(-0.191787\pi\) |
−0.998874 | + | 0.0474495i | \(0.984891\pi\) | |||||||
\(12\) | −1.62261 | − | 3.06058i | −0.135218 | − | 0.255048i | ||||
\(13\) | 9.48709 | − | 2.63408i | 0.729776 | − | 0.202621i | 0.117284 | − | 0.993098i | \(-0.462581\pi\) |
0.612492 | + | 0.790477i | \(0.290167\pi\) | |||||||
\(14\) | −5.39828 | + | 5.69889i | −0.385591 | + | 0.407064i | ||||
\(15\) | −1.48911 | − | 9.08315i | −0.0992738 | − | 0.605544i | ||||
\(16\) | −3.79061 | − | 1.27721i | −0.236913 | − | 0.0798254i | ||||
\(17\) | −18.6013 | − | 2.02302i | −1.09420 | − | 0.119001i | −0.456824 | − | 0.889557i | \(-0.651013\pi\) |
−0.637372 | + | 0.770556i | \(0.719978\pi\) | |||||||
\(18\) | −1.78144 | − | 3.85052i | −0.0989688 | − | 0.213918i | ||||
\(19\) | 0.476407 | + | 8.78680i | 0.0250740 | + | 0.462463i | 0.983928 | + | 0.178564i | \(0.0571453\pi\) |
−0.958854 | + | 0.283899i | \(0.908372\pi\) | |||||||
\(20\) | −8.46114 | − | 6.43199i | −0.423057 | − | 0.321600i | ||||
\(21\) | −6.97969 | + | 6.61151i | −0.332366 | + | 0.314834i | ||||
\(22\) | −7.30397 | − | 4.39465i | −0.331999 | − | 0.199757i | ||||
\(23\) | 13.3791 | − | 28.9184i | 0.581699 | − | 1.25732i | −0.363734 | − | 0.931503i | \(-0.618498\pi\) |
0.945432 | − | 0.325818i | \(-0.105640\pi\) | |||||||
\(24\) | −4.55104 | − | 1.81330i | −0.189627 | − | 0.0755541i | ||||
\(25\) | −1.81846 | − | 2.68203i | −0.0727384 | − | 0.107281i | ||||
\(26\) | 7.81414 | − | 11.5250i | 0.300544 | − | 0.443269i | ||||
\(27\) | −1.92329 | − | 4.82710i | −0.0712331 | − | 0.178782i | ||||
\(28\) | −0.601009 | + | 11.0850i | −0.0214646 | + | 0.395891i | ||||
\(29\) | −8.47397 | + | 9.97633i | −0.292206 | + | 0.344011i | −0.888602 | − | 0.458679i | \(-0.848323\pi\) |
0.596396 | + | 0.802690i | \(0.296599\pi\) | |||||||
\(30\) | −9.92106 | − | 8.42703i | −0.330702 | − | 0.280901i | ||||
\(31\) | 36.5550 | + | 1.98195i | 1.17919 | + | 0.0639340i | 0.633290 | − | 0.773914i | \(-0.281704\pi\) |
0.545903 | + | 0.837848i | \(0.316187\pi\) | |||||||
\(32\) | −5.25509 | + | 2.09382i | −0.164221 | + | 0.0654318i | ||||
\(33\) | −8.64099 | − | 5.85874i | −0.261848 | − | 0.177537i | ||||
\(34\) | −21.9018 | + | 14.8498i | −0.644170 | + | 0.436758i | ||||
\(35\) | −10.9179 | + | 27.4020i | −0.311941 | + | 0.782913i | ||||
\(36\) | −5.44545 | − | 2.51933i | −0.151263 | − | 0.0699815i | ||||
\(37\) | −37.2299 | + | 61.8766i | −1.00621 | + | 1.67234i | −0.315961 | + | 0.948772i | \(0.602327\pi\) |
−0.690253 | + | 0.723568i | \(0.742501\pi\) | |||||||
\(38\) | 8.55819 | + | 9.03477i | 0.225216 | + | 0.237757i | ||||
\(39\) | 10.3205 | − | 13.5764i | 0.264628 | − | 0.348112i | ||||
\(40\) | −15.0087 | + | 0.813748i | −0.375217 | + | 0.0203437i | ||||
\(41\) | 40.5283 | − | 18.7504i | 0.988496 | − | 0.457327i | 0.142084 | − | 0.989855i | \(-0.454620\pi\) |
0.846413 | + | 0.532528i | \(0.178758\pi\) | |||||||
\(42\) | −1.47001 | + | 13.5165i | −0.0350001 | + | 0.321821i | ||||
\(43\) | 24.9670 | − | 74.0993i | 0.580627 | − | 1.72324i | −0.104222 | − | 0.994554i | \(-0.533235\pi\) |
0.684849 | − | 0.728685i | \(-0.259868\pi\) | |||||||
\(44\) | −11.8961 | + | 1.95027i | −0.270367 | + | 0.0443244i | ||||
\(45\) | −11.5742 | − | 10.9637i | −0.257204 | − | 0.243637i | ||||
\(46\) | −12.0552 | − | 43.4191i | −0.262071 | − | 0.943893i | ||||
\(47\) | 16.4866 | − | 8.74063i | 0.350778 | − | 0.185971i | −0.283697 | − | 0.958914i | \(-0.591561\pi\) |
0.634475 | + | 0.772943i | \(0.281216\pi\) | |||||||
\(48\) | −6.56553 | + | 2.21219i | −0.136782 | + | 0.0460872i | ||||
\(49\) | −17.7653 | + | 3.91045i | −0.362558 | + | 0.0798050i | ||||
\(50\) | −4.41555 | − | 1.22597i | −0.0883111 | − | 0.0245194i | ||||
\(51\) | −27.7694 | + | 16.7083i | −0.544498 | + | 0.327613i | ||||
\(52\) | −2.12907 | − | 19.5765i | −0.0409437 | − | 0.376471i | ||||
\(53\) | 13.5390 | + | 2.98015i | 0.255452 | + | 0.0562292i | 0.340850 | − | 0.940118i | \(-0.389285\pi\) |
−0.0853981 | + | 0.996347i | \(0.527216\pi\) | |||||||
\(54\) | −6.49246 | − | 3.44209i | −0.120231 | − | 0.0637423i | ||||
\(55\) | −31.6091 | − | 5.18204i | −0.574710 | − | 0.0942190i | ||||
\(56\) | 9.50095 | + | 12.4983i | 0.169660 | + | 0.223184i | ||||
\(57\) | 9.86717 | + | 11.6165i | 0.173108 | + | 0.203799i | ||||
\(58\) | 18.5114i | 0.319162i | ||||||||
\(59\) | 53.7399 | + | 24.3522i | 0.910845 | + | 0.412749i | ||||
\(60\) | −18.4088 | −0.306814 | ||||||||
\(61\) | 28.4158 | − | 24.1366i | 0.465833 | − | 0.395682i | −0.383499 | − | 0.923541i | \(-0.625281\pi\) |
0.849332 | + | 0.527859i | \(0.177005\pi\) | |||||||
\(62\) | 41.2157 | − | 31.3314i | 0.664770 | − | 0.505345i | ||||
\(63\) | −2.69397 | + | 16.4325i | −0.0427614 | + | 0.260833i | ||||
\(64\) | −3.74727 | + | 7.06810i | −0.0585511 | + | 0.110439i | ||||
\(65\) | 11.2479 | − | 51.0999i | 0.173045 | − | 0.786152i | ||||
\(66\) | −14.6777 | + | 1.59630i | −0.222389 | + | 0.0241863i | ||||
\(67\) | −33.3193 | − | 55.3771i | −0.497303 | − | 0.826524i | 0.501961 | − | 0.864890i | \(-0.332612\pi\) |
−0.999264 | + | 0.0383666i | \(0.987785\pi\) | |||||||
\(68\) | −10.0115 | + | 36.0580i | −0.147227 | + | 0.530265i | ||||
\(69\) | −11.8640 | − | 53.8986i | −0.171942 | − | 0.781140i | ||||
\(70\) | 13.3196 | + | 39.5313i | 0.190281 | + | 0.564733i | ||||
\(71\) | 18.7865 | + | 35.4352i | 0.264599 | + | 0.499087i | 0.979838 | − | 0.199793i | \(-0.0640270\pi\) |
−0.715239 | + | 0.698880i | \(0.753682\pi\) | |||||||
\(72\) | −8.17599 | + | 2.27005i | −0.113555 | + | 0.0315285i | ||||
\(73\) | −40.0153 | + | 42.2436i | −0.548155 | + | 0.578680i | −0.939924 | − | 0.341384i | \(-0.889104\pi\) |
0.391769 | + | 0.920063i | \(0.371863\pi\) | |||||||
\(74\) | 16.5220 | + | 100.780i | 0.223271 | + | 1.36189i | ||||
\(75\) | −5.31871 | − | 1.79208i | −0.0709161 | − | 0.0238944i | ||||
\(76\) | 17.4963 | + | 1.90283i | 0.230214 | + | 0.0250373i | ||||
\(77\) | 14.0479 | + | 30.3641i | 0.182440 | + | 0.394338i | ||||
\(78\) | −1.30570 | − | 24.0822i | −0.0167398 | − | 0.308747i | ||||
\(79\) | 85.9036 | + | 65.3022i | 1.08739 | + | 0.826610i | 0.985751 | − | 0.168212i | \(-0.0537992\pi\) |
0.101636 | + | 0.994822i | \(0.467592\pi\) | |||||||
\(80\) | −15.4322 | + | 14.6182i | −0.192903 | + | 0.182728i | ||||
\(81\) | −7.71171 | − | 4.63998i | −0.0952064 | − | 0.0572838i | ||||
\(82\) | 26.5171 | − | 57.3157i | 0.323379 | − | 0.698972i | ||||
\(83\) | 16.5782 | + | 6.60535i | 0.199737 | + | 0.0795825i | 0.467862 | − | 0.883802i | \(-0.345025\pi\) |
−0.268125 | + | 0.963384i | \(0.586404\pi\) | |||||||
\(84\) | 10.7905 | + | 15.9147i | 0.128458 | + | 0.189461i | ||||
\(85\) | −55.8008 | + | 82.3000i | −0.656480 | + | 0.968235i | ||||
\(86\) | −40.9302 | − | 102.727i | −0.475932 | − | 1.19450i | ||||
\(87\) | −1.22742 | + | 22.6385i | −0.0141083 | + | 0.260212i | ||||
\(88\) | −11.0368 | + | 12.9936i | −0.125418 | + | 0.147654i | ||||
\(89\) | 34.3985 | + | 29.2184i | 0.386500 | + | 0.328296i | 0.819480 | − | 0.573107i | \(-0.194262\pi\) |
−0.432980 | + | 0.901403i | \(0.642538\pi\) | |||||||
\(90\) | −22.5130 | − | 1.22062i | −0.250145 | − | 0.0135625i | ||||
\(91\) | −50.7697 | + | 20.2285i | −0.557909 | + | 0.222291i | ||||
\(92\) | −52.7459 | − | 35.7626i | −0.573325 | − | 0.388724i | ||||
\(93\) | 52.4822 | − | 35.5838i | 0.564325 | − | 0.382622i | ||||
\(94\) | 9.76780 | − | 24.5153i | 0.103913 | − | 0.260801i | ||||
\(95\) | 42.4411 | + | 19.6353i | 0.446748 | + | 0.206688i | ||||
\(96\) | −5.05138 | + | 8.39545i | −0.0526185 | + | 0.0874526i | ||||
\(97\) | 93.4302 | + | 98.6331i | 0.963198 | + | 1.01684i | 0.999847 | + | 0.0175078i | \(0.00557318\pi\) |
−0.0366485 | + | 0.999328i | \(0.511668\pi\) | |||||||
\(98\) | −15.5684 | + | 20.4798i | −0.158861 | + | 0.208978i | ||||
\(99\) | −18.0559 | + | 0.978963i | −0.182383 | + | 0.00988852i | ||||
\(100\) | −5.88178 | + | 2.72120i | −0.0588178 | + | 0.0272120i | ||||
\(101\) | 4.43731 | − | 40.8004i | 0.0439338 | − | 0.403965i | −0.951436 | − | 0.307846i | \(-0.900392\pi\) |
0.995370 | − | 0.0961183i | \(-0.0306427\pi\) | |||||||
\(102\) | −14.6344 | + | 43.4332i | −0.143474 | + | 0.425816i | ||||
\(103\) | −90.8710 | + | 14.8975i | −0.882242 | + | 0.144636i | −0.585840 | − | 0.810427i | \(-0.699235\pi\) |
−0.296402 | + | 0.955063i | \(0.595787\pi\) | |||||||
\(104\) | −20.2180 | − | 19.1515i | −0.194404 | − | 0.184149i | ||||
\(105\) | 13.6681 | + | 49.2279i | 0.130172 | + | 0.468837i | ||||
\(106\) | 17.3215 | − | 9.18330i | 0.163411 | − | 0.0866349i | ||||
\(107\) | 137.727 | − | 46.4055i | 1.28717 | − | 0.433696i | 0.409210 | − | 0.912440i | \(-0.365804\pi\) |
0.877955 | + | 0.478744i | \(0.158908\pi\) | |||||||
\(108\) | −10.1493 | + | 2.23404i | −0.0939754 | + | 0.0206855i | ||||
\(109\) | −35.7075 | − | 9.91414i | −0.327592 | − | 0.0909554i | 0.0998387 | − | 0.995004i | \(-0.468167\pi\) |
−0.427430 | + | 0.904048i | \(0.640581\pi\) | |||||||
\(110\) | −38.8145 | + | 23.3539i | −0.352859 | + | 0.212308i | ||||
\(111\) | 13.5232 | + | 124.344i | 0.121831 | + | 1.12022i | ||||
\(112\) | 21.6834 | + | 4.77288i | 0.193602 | + | 0.0426150i | ||||
\(113\) | 124.419 | + | 65.9627i | 1.10105 | + | 0.583740i | 0.916884 | − | 0.399155i | \(-0.130696\pi\) |
0.184167 | + | 0.982895i | \(0.441041\pi\) | |||||||
\(114\) | 21.2708 | + | 3.48718i | 0.186586 | + | 0.0305893i | ||||
\(115\) | −102.472 | − | 134.800i | −0.891065 | − | 1.17218i | ||||
\(116\) | 16.9479 | + | 19.9527i | 0.146103 | + | 0.172006i | ||||
\(117\) | − | 29.5379i | − | 0.252461i | ||||||
\(118\) | 80.2195 | − | 22.9529i | 0.679826 | − | 0.194516i | ||||
\(119\) | 103.858 | 0.872754 | ||||||||
\(120\) | −19.8421 | + | 16.8541i | −0.165351 | + | 0.140450i | ||||
\(121\) | 67.4048 | − | 51.2398i | 0.557065 | − | 0.423469i | ||||
\(122\) | 8.53017 | − | 52.0317i | 0.0699194 | − | 0.426490i | ||||
\(123\) | 36.2294 | − | 68.3359i | 0.294548 | − | 0.555577i | ||||
\(124\) | 15.7396 | − | 71.5056i | 0.126932 | − | 0.576658i | ||||
\(125\) | 114.956 | − | 12.5023i | 0.919651 | − | 0.100018i | ||||
\(126\) | 12.1409 | + | 20.1784i | 0.0963565 | + | 0.160146i | ||||
\(127\) | −18.1492 | + | 65.3674i | −0.142907 | + | 0.514704i | −1.00000 | 0.000457785i | \(-0.999854\pi\) | |
0.857093 | + | 0.515162i | \(0.172268\pi\) | |||||||
\(128\) | 2.43211 | + | 11.0492i | 0.0190009 | + | 0.0863219i | ||||
\(129\) | −43.2440 | − | 128.344i | −0.335225 | − | 0.994912i | ||||
\(130\) | −34.6604 | − | 65.3765i | −0.266619 | − | 0.502896i | ||||
\(131\) | 59.8598 | − | 16.6200i | 0.456945 | − | 0.126870i | −0.0314261 | − | 0.999506i | \(-0.510005\pi\) |
0.488372 | + | 0.872636i | \(0.337591\pi\) | |||||||
\(132\) | −14.3590 | + | 15.1586i | −0.108780 | + | 0.114838i | ||||
\(133\) | −7.90205 | − | 48.2004i | −0.0594139 | − | 0.362409i | ||||
\(134\) | −86.6136 | − | 29.1835i | −0.646370 | − | 0.217787i | ||||
\(135\) | −27.4514 | − | 2.98551i | −0.203343 | − | 0.0221149i | ||||
\(136\) | 22.2217 | + | 48.0314i | 0.163395 | + | 0.353172i | ||||
\(137\) | 11.3772 | + | 209.841i | 0.0830455 | + | 1.53168i | 0.682269 | + | 0.731102i | \(0.260993\pi\) |
−0.599223 | + | 0.800582i | \(0.704524\pi\) | |||||||
\(138\) | −62.1342 | − | 47.2332i | −0.450248 | − | 0.342270i | ||||
\(139\) | −127.356 | + | 120.638i | −0.916230 | + | 0.867899i | −0.991611 | − | 0.129256i | \(-0.958741\pi\) |
0.0753814 | + | 0.997155i | \(0.475983\pi\) | |||||||
\(140\) | 50.5493 | + | 30.4145i | 0.361066 | + | 0.217246i | ||||
\(141\) | 13.5710 | − | 29.3333i | 0.0962485 | − | 0.208038i | ||||
\(142\) | 52.6916 | + | 20.9943i | 0.371068 | + | 0.147847i | ||||
\(143\) | −33.3044 | − | 49.1203i | −0.232898 | − | 0.343499i | ||||
\(144\) | −6.73424 | + | 9.93227i | −0.0467656 | + | 0.0689741i | ||||
\(145\) | 25.7468 | + | 64.6195i | 0.177564 | + | 0.445652i | ||||
\(146\) | −4.45504 | + | 82.1684i | −0.0305140 | + | 0.562797i | ||||
\(147\) | −20.3973 | + | 24.0135i | −0.138757 | + | 0.163357i | ||||
\(148\) | 110.077 | + | 93.5000i | 0.743761 | + | 0.631757i | ||||
\(149\) | −158.784 | − | 8.60904i | −1.06567 | − | 0.0577788i | −0.487047 | − | 0.873376i | \(-0.661926\pi\) |
−0.578620 | + | 0.815597i | \(0.696409\pi\) | |||||||
\(150\) | −7.37355 | + | 2.93789i | −0.0491570 | + | 0.0195859i | ||||
\(151\) | −75.2915 | − | 51.0489i | −0.498619 | − | 0.338072i | 0.285815 | − | 0.958285i | \(-0.407736\pi\) |
−0.784434 | + | 0.620213i | \(0.787046\pi\) | |||||||
\(152\) | 20.6006 | − | 13.9676i | 0.135530 | − | 0.0918919i | ||||
\(153\) | −20.7770 | + | 52.1463i | −0.135797 | + | 0.340825i | ||||
\(154\) | 42.9413 | + | 19.8667i | 0.278839 | + | 0.129005i | ||||
\(155\) | 100.298 | − | 166.697i | 0.647086 | − | 1.07546i | ||||
\(156\) | −23.4557 | − | 24.7619i | −0.150357 | − | 0.158730i | ||||
\(157\) | 38.6217 | − | 50.8060i | 0.245998 | − | 0.323605i | −0.656478 | − | 0.754345i | \(-0.727954\pi\) |
0.902476 | + | 0.430740i | \(0.141748\pi\) | |||||||
\(158\) | 152.379 | − | 8.26175i | 0.964424 | − | 0.0522895i | ||||
\(159\) | 21.7923 | − | 10.0822i | 0.137058 | − | 0.0634099i | ||||
\(160\) | −3.25022 | + | 29.8853i | −0.0203139 | + | 0.186783i | ||||
\(161\) | −56.4721 | + | 167.603i | −0.350758 | + | 1.04101i | ||||
\(162\) | −12.5603 | + | 2.05915i | −0.0775324 | + | 0.0127108i | ||||
\(163\) | 7.41876 | + | 7.02743i | 0.0455139 | + | 0.0431130i | 0.710118 | − | 0.704082i | \(-0.248641\pi\) |
−0.664605 | + | 0.747195i | \(0.731400\pi\) | |||||||
\(164\) | −23.8933 | − | 86.0558i | −0.145691 | − | 0.524731i | ||||
\(165\) | −49.0167 | + | 25.9870i | −0.297071 | + | 0.157497i | ||||
\(166\) | 23.9164 | − | 8.05838i | 0.144075 | − | 0.0485445i | ||||
\(167\) | 37.4490 | − | 8.24315i | 0.224245 | − | 0.0493602i | −0.101426 | − | 0.994843i | \(-0.532341\pi\) |
0.325672 | + | 0.945483i | \(0.394410\pi\) | |||||||
\(168\) | 26.2012 | + | 7.27473i | 0.155960 | + | 0.0433020i | ||||
\(169\) | −61.7424 | + | 37.1492i | −0.365340 | + | 0.219818i | ||||
\(170\) | 15.2037 | + | 139.796i | 0.0894336 | + | 0.822328i | ||||
\(171\) | 25.7819 | + | 5.67503i | 0.150772 | + | 0.0331873i | ||||
\(172\) | −138.168 | − | 73.2520i | −0.803301 | − | 0.425883i | ||||
\(173\) | −39.5962 | − | 6.49146i | −0.228880 | − | 0.0375229i | 0.0462507 | − | 0.998930i | \(-0.485273\pi\) |
−0.275130 | + | 0.961407i | \(0.588721\pi\) | |||||||
\(174\) | 19.4035 | + | 25.5248i | 0.111514 | + | 0.146694i | ||||
\(175\) | 11.6440 | + | 13.7083i | 0.0665369 | + | 0.0783333i | ||||
\(176\) | 24.1099i | 0.136988i | ||||||||
\(177\) | 99.6262 | − | 22.7512i | 0.562860 | − | 0.128538i | ||||
\(178\) | 63.8275 | 0.358581 | ||||||||
\(179\) | 52.5001 | − | 44.5940i | 0.293296 | − | 0.249128i | −0.488641 | − | 0.872485i | \(-0.662507\pi\) |
0.781938 | + | 0.623356i | \(0.214231\pi\) | |||||||
\(180\) | −25.3834 | + | 19.2960i | −0.141019 | + | 0.107200i | ||||
\(181\) | −4.93156 | + | 30.0812i | −0.0272462 | + | 0.166194i | −0.996945 | − | 0.0781102i | \(-0.975111\pi\) |
0.969699 | + | 0.244305i | \(0.0785597\pi\) | |||||||
\(182\) | −36.2026 | + | 68.2854i | −0.198915 | + | 0.375194i | ||||
\(183\) | 13.8820 | − | 63.0665i | 0.0758579 | − | 0.344626i | ||||
\(184\) | −89.5948 | + | 9.74403i | −0.486928 | + | 0.0529567i | ||||
\(185\) | 197.846 | + | 328.823i | 1.06944 | + | 1.77742i | ||||
\(186\) | 23.9900 | − | 86.4040i | 0.128978 | − | 0.464538i | ||||
\(187\) | 24.2444 | + | 110.143i | 0.129649 | + | 0.589002i | ||||
\(188\) | −11.9165 | − | 35.3669i | −0.0633857 | − | 0.188122i | ||||
\(189\) | 13.5098 | + | 25.4821i | 0.0714803 | + | 0.134826i | ||||
\(190\) | 63.7225 | − | 17.6925i | 0.335382 | − | 0.0931183i | ||||
\(191\) | −108.567 | + | 114.613i | −0.568415 | + | 0.600069i | −0.945304 | − | 0.326190i | \(-0.894235\pi\) |
0.376889 | + | 0.926258i | \(0.376994\pi\) | |||||||
\(192\) | 2.24172 | + | 13.6739i | 0.0116756 | + | 0.0712181i | ||||
\(193\) | −113.099 | − | 38.1076i | −0.586007 | − | 0.197449i | 0.0106527 | − | 0.999943i | \(-0.496609\pi\) |
−0.596659 | + | 0.802495i | \(0.703506\pi\) | |||||||
\(194\) | 191.007 | + | 20.7733i | 0.984575 | + | 0.107079i | ||||
\(195\) | −38.0530 | − | 82.2503i | −0.195144 | − | 0.421796i | ||||
\(196\) | 1.96964 | + | 36.3279i | 0.0100492 | + | 0.185346i | ||||
\(197\) | −107.183 | − | 81.4783i | −0.544075 | − | 0.413595i | 0.296707 | − | 0.954969i | \(-0.404112\pi\) |
−0.840782 | + | 0.541373i | \(0.817905\pi\) | |||||||
\(198\) | −18.5655 | + | 17.5861i | −0.0937650 | + | 0.0888189i | ||||
\(199\) | −330.786 | − | 199.027i | −1.66224 | − | 1.00014i | −0.956528 | − | 0.291640i | \(-0.905799\pi\) |
−0.705713 | − | 0.708498i | \(-0.749373\pi\) | |||||||
\(200\) | −3.84836 | + | 8.31809i | −0.0192418 | + | 0.0415905i | ||||
\(201\) | −103.989 | − | 41.4330i | −0.517358 | − | 0.206134i | ||||
\(202\) | −32.5717 | − | 48.0397i | −0.161246 | − | 0.237820i | ||||
\(203\) | 40.7730 | − | 60.1357i | 0.200852 | − | 0.296235i | ||||
\(204\) | 23.9912 | + | 60.2133i | 0.117604 | + | 0.295163i | ||||
\(205\) | 12.8476 | − | 236.959i | 0.0626711 | − | 1.15590i | ||||
\(206\) | −84.3068 | + | 99.2537i | −0.409256 | + | 0.481814i | ||||
\(207\) | −72.8551 | − | 61.8837i | −0.351957 | − | 0.298955i | ||||
\(208\) | −39.3261 | − | 2.13220i | −0.189068 | − | 0.0102510i | ||||
\(209\) | 49.2730 | − | 19.6321i | 0.235756 | − | 0.0939337i | ||||
\(210\) | 59.8025 | + | 40.5471i | 0.284774 | + | 0.193082i | ||||
\(211\) | 94.8568 | − | 64.3145i | 0.449558 | − | 0.304808i | −0.315317 | − | 0.948986i | \(-0.602111\pi\) |
0.764875 | + | 0.644178i | \(0.222800\pi\) | |||||||
\(212\) | 10.2625 | − | 25.7569i | 0.0484080 | − | 0.121495i | ||||
\(213\) | 63.0471 | + | 29.1687i | 0.295996 | + | 0.136942i | ||||
\(214\) | 105.964 | − | 176.113i | 0.495158 | − | 0.822959i | ||||
\(215\) | −285.758 | − | 301.671i | −1.32911 | − | 1.40312i | ||||
\(216\) | −8.89421 | + | 11.7001i | −0.0411769 | + | 0.0541673i | ||||
\(217\) | −202.903 | + | 11.0011i | −0.935036 | + | 0.0506962i | ||||
\(218\) | −47.5645 | + | 22.0057i | −0.218186 | + | 0.100943i | ||||
\(219\) | −10.8966 | + | 100.192i | −0.0497560 | + | 0.457499i | ||||
\(220\) | −20.4551 | + | 60.7086i | −0.0929778 | + | 0.275948i | ||||
\(221\) | −181.801 | + | 29.8048i | −0.822630 | + | 0.134863i | ||||
\(222\) | 128.418 | + | 121.644i | 0.578462 | + | 0.547948i | ||||
\(223\) | −88.1277 | − | 317.407i | −0.395192 | − | 1.42335i | −0.847170 | − | 0.531322i | \(-0.821695\pi\) |
0.451978 | − | 0.892029i | \(-0.350718\pi\) | |||||||
\(224\) | 27.7414 | − | 14.7076i | 0.123846 | − | 0.0656588i | ||||
\(225\) | −9.21227 | + | 3.10397i | −0.0409434 | + | 0.0137954i | ||||
\(226\) | 194.498 | − | 42.8122i | 0.860609 | − | 0.189434i | ||||
\(227\) | −69.9035 | − | 19.4086i | −0.307945 | − | 0.0855005i | 0.110118 | − | 0.993919i | \(-0.464877\pi\) |
−0.418063 | + | 0.908418i | \(0.637291\pi\) | |||||||
\(228\) | 26.1197 | − | 15.7157i | 0.114560 | − | 0.0689284i | ||||
\(229\) | 23.5267 | + | 216.325i | 0.102737 | + | 0.944650i | 0.926137 | + | 0.377188i | \(0.123109\pi\) |
−0.823400 | + | 0.567462i | \(0.807925\pi\) | |||||||
\(230\) | −233.866 | − | 51.4778i | −1.01681 | − | 0.223817i | ||||
\(231\) | 51.1977 | + | 27.1433i | 0.221635 | + | 0.117503i | ||||
\(232\) | 36.5350 | + | 5.98961i | 0.157479 | + | 0.0258173i | ||||
\(233\) | −176.710 | − | 232.458i | −0.758412 | − | 0.997674i | −0.999630 | − | 0.0272028i | \(-0.991340\pi\) |
0.241218 | − | 0.970471i | \(-0.422453\pi\) | |||||||
\(234\) | −27.0432 | − | 31.8377i | −0.115569 | − | 0.136059i | ||||
\(235\) | − | 99.1638i | − | 0.421974i | ||||||
\(236\) | 65.4510 | − | 98.1843i | 0.277335 | − | 0.416035i | ||||
\(237\) | 186.899 | 0.788605 | ||||||||
\(238\) | 111.944 | − | 95.0861i | 0.470353 | − | 0.399522i | ||||
\(239\) | 48.4544 | − | 36.8341i | 0.202738 | − | 0.154118i | −0.498879 | − | 0.866672i | \(-0.666255\pi\) |
0.701617 | + | 0.712554i | \(0.252462\pi\) | |||||||
\(240\) | −5.95643 | + | 36.3326i | −0.0248185 | + | 0.151386i | ||||
\(241\) | −193.776 | + | 365.501i | −0.804051 | + | 1.51660i | 0.0513777 | + | 0.998679i | \(0.483639\pi\) |
−0.855428 | + | 0.517921i | \(0.826706\pi\) | |||||||
\(242\) | 25.7407 | − | 116.941i | 0.106367 | − | 0.483229i | ||||
\(243\) | −15.4971 | + | 1.68541i | −0.0637740 | + | 0.00693584i | ||||
\(244\) | −38.4429 | − | 63.8927i | −0.157553 | − | 0.261855i | ||||
\(245\) | −25.8614 | + | 93.1445i | −0.105557 | + | 0.380182i | ||||
\(246\) | −23.5142 | − | 106.826i | −0.0955862 | − | 0.434253i | ||||
\(247\) | 27.6648 | + | 82.1063i | 0.112003 | + | 0.332414i | ||||
\(248\) | −48.5013 | − | 91.4832i | −0.195570 | − | 0.368884i | ||||
\(249\) | 29.7829 | − | 8.26918i | 0.119610 | − | 0.0332095i | ||||
\(250\) | 112.461 | − | 118.723i | 0.449842 | − | 0.474893i | ||||
\(251\) | 24.1872 | + | 147.535i | 0.0963633 | + | 0.587790i | 0.990229 | + | 0.139454i | \(0.0445349\pi\) |
−0.893865 | + | 0.448336i | \(0.852017\pi\) | |||||||
\(252\) | 31.5604 | + | 10.6339i | 0.125240 | + | 0.0421981i | ||||
\(253\) | −190.930 | − | 20.7649i | −0.754663 | − | 0.0820745i | ||||
\(254\) | 40.2844 | + | 87.0732i | 0.158600 | + | 0.342808i | ||||
\(255\) | 9.32401 | + | 171.971i | 0.0365647 | + | 0.674397i | ||||
\(256\) | 12.7375 | + | 9.68279i | 0.0497558 | + | 0.0378234i | ||||
\(257\) | 15.6560 | − | 14.8302i | 0.0609184 | − | 0.0577050i | −0.656635 | − | 0.754209i | \(-0.728021\pi\) |
0.717553 | + | 0.696504i | \(0.245262\pi\) | |||||||
\(258\) | −164.115 | − | 98.7448i | −0.636105 | − | 0.382732i | ||||
\(259\) | 168.304 | − | 363.783i | 0.649822 | − | 1.40457i | ||||
\(260\) | −97.2140 | − | 38.7336i | −0.373900 | − | 0.148975i | ||||
\(261\) | 22.0370 | + | 32.5021i | 0.0844329 | + | 0.124529i | ||||
\(262\) | 49.3042 | − | 72.7183i | 0.188184 | − | 0.277551i | ||||
\(263\) | 17.6366 | + | 44.2645i | 0.0670593 | + | 0.168306i | 0.958687 | − | 0.284463i | \(-0.0918154\pi\) |
−0.891628 | + | 0.452769i | \(0.850436\pi\) | |||||||
\(264\) | −1.59864 | + | 29.4852i | −0.00605545 | + | 0.111686i | ||||
\(265\) | 47.6934 | − | 56.1490i | 0.179975 | − | 0.211883i | ||||
\(266\) | −52.6468 | − | 44.7186i | −0.197920 | − | 0.168115i | ||||
\(267\) | 78.0577 | + | 4.23217i | 0.292351 | + | 0.0158508i | ||||
\(268\) | −120.076 | + | 47.8427i | −0.448045 | + | 0.178517i | ||||
\(269\) | −27.5158 | − | 18.6562i | −0.102289 | − | 0.0693538i | 0.508970 | − | 0.860784i | \(-0.330026\pi\) |
−0.611259 | + | 0.791430i | \(0.709337\pi\) | |||||||
\(270\) | −32.3221 | + | 21.9149i | −0.119711 | + | 0.0811664i | ||||
\(271\) | 87.1391 | − | 218.703i | 0.321546 | − | 0.807021i | −0.675993 | − | 0.736908i | \(-0.736285\pi\) |
0.997539 | − | 0.0701123i | \(-0.0223358\pi\) | |||||||
\(272\) | 67.9266 | + | 31.4262i | 0.249730 | + | 0.115537i | ||||
\(273\) | −48.8017 | + | 81.1090i | −0.178761 | + | 0.297103i | ||||
\(274\) | 204.381 | + | 215.762i | 0.745916 | + | 0.787454i | ||||
\(275\) | −11.8198 | + | 15.5487i | −0.0429813 | + | 0.0565409i | ||||
\(276\) | −110.216 | + | 5.97574i | −0.399333 | + | 0.0216512i | ||||
\(277\) | −30.0778 | + | 13.9154i | −0.108584 | + | 0.0502363i | −0.473429 | − | 0.880832i | \(-0.656984\pi\) |
0.364845 | + | 0.931068i | \(0.381122\pi\) | |||||||
\(278\) | −26.8227 | + | 246.631i | −0.0964845 | + | 0.887160i | ||||
\(279\) | 35.0676 | − | 104.077i | 0.125690 | − | 0.373036i | ||||
\(280\) | 82.3308 | − | 13.4975i | 0.294039 | − | 0.0482052i | ||||
\(281\) | −318.022 | − | 301.247i | −1.13175 | − | 1.07205i | −0.996697 | − | 0.0812150i | \(-0.974120\pi\) |
−0.135056 | − | 0.990838i | \(-0.543121\pi\) | |||||||
\(282\) | −12.2282 | − | 44.0421i | −0.0433625 | − | 0.156178i | ||||
\(283\) | −268.890 | + | 142.557i | −0.950143 | + | 0.503734i | −0.870001 | − | 0.493050i | \(-0.835882\pi\) |
−0.0801416 | + | 0.996783i | \(0.525537\pi\) | |||||||
\(284\) | 76.0154 | − | 25.6126i | 0.267660 | − | 0.0901850i | ||||
\(285\) | 79.1025 | − | 17.4118i | 0.277553 | − | 0.0610939i | ||||
\(286\) | −80.8693 | − | 22.4532i | −0.282760 | − | 0.0785078i | ||||
\(287\) | −212.386 | + | 127.788i | −0.740021 | + | 0.445256i | ||||
\(288\) | 1.83484 | + | 16.8711i | 0.00637097 | + | 0.0585801i | ||||
\(289\) | 59.6734 | + | 13.1351i | 0.206482 | + | 0.0454502i | ||||
\(290\) | 86.9133 | + | 46.0785i | 0.299701 | + | 0.158891i | ||||
\(291\) | 232.215 | + | 38.0697i | 0.797989 | + | 0.130824i | ||||
\(292\) | 70.4268 | + | 92.6448i | 0.241188 | + | 0.317277i | ||||
\(293\) | −153.490 | − | 180.702i | −0.523857 | − | 0.616732i | 0.435066 | − | 0.900398i | \(-0.356725\pi\) |
−0.958923 | + | 0.283667i | \(0.908449\pi\) | |||||||
\(294\) | 44.5577i | 0.151557i | ||||||||
\(295\) | 248.106 | − | 191.698i | 0.841037 | − | 0.649825i | ||||
\(296\) | 204.250 | 0.690035 | ||||||||
\(297\) | −23.8707 | + | 20.2759i | −0.0803727 | + | 0.0682692i | ||||
\(298\) | −179.029 | + | 136.094i | −0.600769 | + | 0.456693i | ||||
\(299\) | 50.7552 | − | 309.593i | 0.169750 | − | 1.03543i | ||||
\(300\) | −5.25789 | + | 9.91743i | −0.0175263 | + | 0.0330581i | ||||
\(301\) | −93.3007 | + | 423.869i | −0.309969 | + | 1.40820i | ||||
\(302\) | −127.891 | + | 13.9090i | −0.423480 | + | 0.0460563i | ||||
\(303\) | −36.6482 | − | 60.9098i | −0.120951 | − | 0.201022i | ||||
\(304\) | 9.41669 | − | 33.9158i | 0.0309759 | − | 0.111565i | ||||
\(305\) | −42.5919 | − | 193.497i | −0.139645 | − | 0.634416i | ||||
\(306\) | 25.3475 | + | 75.2286i | 0.0828348 | + | 0.245845i | ||||
\(307\) | 62.3380 | + | 117.582i | 0.203055 | + | 0.383003i | 0.964036 | − | 0.265772i | \(-0.0856267\pi\) |
−0.760981 | + | 0.648774i | \(0.775282\pi\) | |||||||
\(308\) | 64.4735 | − | 17.9010i | 0.209330 | − | 0.0581201i | ||||
\(309\) | −109.684 | + | 115.792i | −0.354965 | + | 0.374732i | ||||
\(310\) | −44.5107 | − | 271.503i | −0.143583 | − | 0.875817i | ||||
\(311\) | 152.526 | + | 51.3920i | 0.490438 | + | 0.165248i | 0.553645 | − | 0.832753i | \(-0.313236\pi\) |
−0.0632075 | + | 0.998000i | \(0.520133\pi\) | |||||||
\(312\) | −47.9525 | − | 5.21514i | −0.153694 | − | 0.0167152i | ||||
\(313\) | 62.3444 | + | 134.755i | 0.199184 | + | 0.430528i | 0.981269 | − | 0.192643i | \(-0.0617060\pi\) |
−0.782085 | + | 0.623171i | \(0.785844\pi\) | |||||||
\(314\) | −4.88625 | − | 90.1216i | −0.0155613 | − | 0.287011i | ||||
\(315\) | 70.4469 | + | 53.5523i | 0.223641 | + | 0.170007i | ||||
\(316\) | 156.679 | − | 148.414i | 0.495820 | − | 0.469666i | ||||
\(317\) | −484.330 | − | 291.412i | −1.52786 | − | 0.919280i | −0.997437 | − | 0.0715433i | \(-0.977208\pi\) |
−0.530418 | − | 0.847737i | \(-0.677965\pi\) | |||||||
\(318\) | 14.2584 | − | 30.8189i | 0.0448376 | − | 0.0969149i | ||||
\(319\) | 73.2932 | + | 29.2027i | 0.229759 | + | 0.0915445i | ||||
\(320\) | 23.8579 | + | 35.1878i | 0.0745561 | + | 0.109962i | ||||
\(321\) | 141.266 | − | 208.351i | 0.440080 | − | 0.649070i | ||||
\(322\) | 92.5788 | + | 232.355i | 0.287512 | + | 0.721600i | ||||
\(323\) | 8.91405 | − | 164.410i | 0.0275977 | − | 0.509009i | ||||
\(324\) | −11.6530 | + | 13.7189i | −0.0359659 | + | 0.0423423i | ||||
\(325\) | −24.3165 | − | 20.6547i | −0.0748201 | − | 0.0635528i | ||||
\(326\) | 14.4303 | + | 0.782388i | 0.0442647 | + | 0.00239996i | ||||
\(327\) | −59.6281 | + | 23.7580i | −0.182349 | + | 0.0726544i | ||||
\(328\) | −104.541 | − | 70.8808i | −0.318724 | − | 0.216100i | ||||
\(329\) | −85.7288 | + | 58.1255i | −0.260574 | + | 0.176673i | ||||
\(330\) | −29.0409 | + | 72.8872i | −0.0880028 | + | 0.220870i | ||||
\(331\) | 125.358 | + | 57.9966i | 0.378724 | + | 0.175216i | 0.600010 | − | 0.799993i | \(-0.295163\pi\) |
−0.221286 | + | 0.975209i | \(0.571025\pi\) | |||||||
\(332\) | 18.4008 | − | 30.5823i | 0.0554240 | − | 0.0921154i | ||||
\(333\) | 148.983 | + | 157.280i | 0.447398 | + | 0.472312i | ||||
\(334\) | 32.8178 | − | 43.1711i | 0.0982569 | − | 0.129255i | ||||
\(335\) | −342.941 | + | 18.5937i | −1.02370 | + | 0.0555037i | ||||
\(336\) | 34.9016 | − | 16.1472i | 0.103874 | − | 0.0480571i | ||||
\(337\) | −53.9648 | + | 496.199i | −0.160133 | + | 1.47240i | 0.588006 | + | 0.808857i | \(0.299913\pi\) |
−0.748139 | + | 0.663542i | \(0.769052\pi\) | |||||||
\(338\) | −32.5380 | + | 96.5694i | −0.0962663 | + | 0.285708i | ||||
\(339\) | 240.699 | − | 39.4607i | 0.710027 | − | 0.116403i | ||||
\(340\) | 144.376 | + | 136.761i | 0.424637 | + | 0.402237i | ||||
\(341\) | −59.0323 | − | 212.615i | −0.173115 | − | 0.623504i | ||||
\(342\) | 32.9850 | − | 17.4876i | 0.0964475 | − | 0.0511332i | ||||
\(343\) | 353.427 | − | 119.083i | 1.03040 | − | 0.347182i | ||||
\(344\) | −215.991 | + | 47.5432i | −0.627880 | + | 0.138207i | ||||
\(345\) | −282.593 | − | 78.4616i | −0.819110 | − | 0.227425i | ||||
\(346\) | −48.6223 | + | 29.2551i | −0.140527 | + | 0.0845523i | ||||
\(347\) | −72.5707 | − | 667.276i | −0.209137 | − | 1.92299i | −0.357238 | − | 0.934014i | \(-0.616281\pi\) |
0.148100 | − | 0.988972i | \(-0.452684\pi\) | |||||||
\(348\) | 44.2833 | + | 9.74749i | 0.127251 | + | 0.0280100i | ||||
\(349\) | −163.533 | − | 86.6999i | −0.468577 | − | 0.248424i | 0.217351 | − | 0.976094i | \(-0.430258\pi\) |
−0.685927 | + | 0.727670i | \(0.740603\pi\) | |||||||
\(350\) | 25.1011 | + | 4.11512i | 0.0717175 | + | 0.0117575i | ||||
\(351\) | −30.9614 | − | 40.7291i | −0.0882092 | − | 0.116037i | ||||
\(352\) | 22.0736 | + | 25.9871i | 0.0627092 | + | 0.0738270i | ||||
\(353\) | 454.693i | 1.28808i | 0.764991 | + | 0.644041i | \(0.222744\pi\) | ||||
−0.764991 | + | 0.644041i | \(0.777256\pi\) | |||||||
\(354\) | 86.5535 | − | 115.735i | 0.244501 | − | 0.326934i | ||||
\(355\) | 213.136 | 0.600384 | ||||||||
\(356\) | 68.7971 | − | 58.4367i | 0.193250 | − | 0.164148i | ||||
\(357\) | 143.207 | − | 108.863i | 0.401139 | − | 0.304938i | ||||
\(358\) | 15.7601 | − | 96.1321i | 0.0440225 | − | 0.268525i | ||||
\(359\) | 2.28752 | − | 4.31472i | 0.00637191 | − | 0.0120187i | −0.880306 | − | 0.474407i | \(-0.842663\pi\) |
0.886678 | + | 0.462388i | \(0.153007\pi\) | |||||||
\(360\) | −9.69349 | + | 44.0380i | −0.0269264 | + | 0.122328i | ||||
\(361\) | 281.903 | − | 30.6588i | 0.780894 | − | 0.0849274i | ||||
\(362\) | 22.2251 | + | 36.9384i | 0.0613952 | + | 0.102040i | ||||
\(363\) | 39.2335 | − | 141.306i | 0.108081 | − | 0.389274i | ||||
\(364\) | 23.4968 | + | 106.747i | 0.0645517 | + | 0.293261i | ||||
\(365\) | 98.7333 | + | 293.030i | 0.270502 | + | 0.802822i | ||||
\(366\) | −42.7773 | − | 80.6865i | −0.116878 | − | 0.220455i | ||||
\(367\) | −323.777 | + | 89.8963i | −0.882226 | + | 0.244949i | −0.678961 | − | 0.734175i | \(-0.737569\pi\) |
−0.203266 | + | 0.979124i | \(0.565156\pi\) | |||||||
\(368\) | −87.6496 | + | 92.5306i | −0.238178 | + | 0.251442i | ||||
\(369\) | −21.6734 | − | 132.202i | −0.0587356 | − | 0.358271i | ||||
\(370\) | 514.301 | + | 173.288i | 1.39000 | + | 0.468347i | ||||
\(371\) | −76.4975 | − | 8.31960i | −0.206193 | − | 0.0224248i | ||||
\(372\) | −53.2487 | − | 115.095i | −0.143142 | − | 0.309396i | ||||
\(373\) | −1.23936 | − | 22.8586i | −0.00332268 | − | 0.0612832i | 0.996402 | − | 0.0847550i | \(-0.0270108\pi\) |
−0.999724 | + | 0.0234718i | \(0.992528\pi\) | |||||||
\(374\) | 126.973 | + | 96.5224i | 0.339500 | + | 0.258081i | ||||
\(375\) | 145.406 | − | 137.735i | 0.387748 | − | 0.367295i | ||||
\(376\) | −45.2242 | − | 27.2105i | −0.120277 | − | 0.0723684i | ||||
\(377\) | −54.1149 | + | 116.967i | −0.143541 | + | 0.310258i | ||||
\(378\) | 37.8916 | + | 15.0974i | 0.100242 | + | 0.0399402i | ||||
\(379\) | 41.9826 | + | 61.9198i | 0.110772 | + | 0.163377i | 0.879034 | − | 0.476759i | \(-0.158189\pi\) |
−0.768262 | + | 0.640136i | \(0.778878\pi\) | |||||||
\(380\) | 52.4857 | − | 77.4107i | 0.138120 | − | 0.203712i | ||||
\(381\) | 43.4922 | + | 109.157i | 0.114153 | + | 0.286502i | ||||
\(382\) | −12.0872 | + | 222.935i | −0.0316418 | + | 0.583599i | ||||
\(383\) | 83.3226 | − | 98.0949i | 0.217552 | − | 0.256123i | −0.642550 | − | 0.766244i | \(-0.722124\pi\) |
0.860103 | + | 0.510121i | \(0.170399\pi\) | |||||||
\(384\) | 14.9353 | + | 12.6861i | 0.0388939 | + | 0.0330368i | ||||
\(385\) | 177.531 | + | 9.62547i | 0.461120 | + | 0.0250012i | ||||
\(386\) | −156.794 | + | 62.4725i | −0.406203 | + | 0.161846i | ||||
\(387\) | −194.157 | − | 131.642i | −0.501698 | − | 0.340159i | ||||
\(388\) | 224.898 | − | 152.485i | 0.579634 | − | 0.393002i | ||||
\(389\) | −161.896 | + | 406.329i | −0.416185 | + | 1.04455i | 0.560171 | + | 0.828377i | \(0.310736\pi\) |
−0.976356 | + | 0.216169i | \(0.930644\pi\) | |||||||
\(390\) | −116.319 | − | 53.8151i | −0.298255 | − | 0.137987i | ||||
\(391\) | −307.371 | + | 510.854i | −0.786115 | + | 1.30653i | ||||
\(392\) | 35.3827 | + | 37.3531i | 0.0902620 | + | 0.0952885i | ||||
\(393\) | 65.1182 | − | 85.6615i | 0.165695 | − | 0.217968i | ||||
\(394\) | −190.125 | + | 10.3083i | −0.482551 | + | 0.0261631i | ||||
\(395\) | 520.434 | − | 240.778i | 1.31755 | − | 0.609565i | ||||
\(396\) | −3.91011 | + | 35.9529i | −0.00987401 | + | 0.0907901i | ||||
\(397\) | −89.2655 | + | 264.930i | −0.224850 | + | 0.667331i | 0.774544 | + | 0.632520i | \(0.217979\pi\) |
−0.999394 | + | 0.0348109i | \(0.988917\pi\) | |||||||
\(398\) | −538.759 | + | 88.3251i | −1.35367 | + | 0.221922i | ||||
\(399\) | −61.4192 | − | 58.1794i | −0.153933 | − | 0.145813i | ||||
\(400\) | 3.46757 | + | 12.4891i | 0.00866893 | + | 0.0312227i | ||||
\(401\) | 286.596 | − | 151.944i | 0.714704 | − | 0.378912i | −0.0710319 | − | 0.997474i | \(-0.522629\pi\) |
0.785736 | + | 0.618562i | \(0.212284\pi\) | |||||||
\(402\) | −150.019 | + | 50.5473i | −0.373182 | + | 0.125740i | ||||
\(403\) | 352.021 | − | 77.4857i | 0.873501 | − | 0.192272i | ||||
\(404\) | −79.0901 | − | 21.9593i | −0.195768 | − | 0.0543546i | ||||
\(405\) | −40.9813 | + | 24.6577i | −0.101189 | + | 0.0608831i | ||||
\(406\) | −11.1092 | − | 102.147i | −0.0273625 | − | 0.251594i | ||||
\(407\) | 425.089 | + | 93.5691i | 1.04444 | + | 0.229899i | ||||
\(408\) | 80.9870 | + | 42.9366i | 0.198498 | + | 0.105237i | ||||
\(409\) | 644.009 | + | 105.580i | 1.57459 | + | 0.258141i | 0.884837 | − | 0.465900i | \(-0.154269\pi\) |
0.689756 | + | 0.724042i | \(0.257718\pi\) | |||||||
\(410\) | −203.099 | − | 267.172i | −0.495362 | − | 0.651638i | ||||
\(411\) | 235.641 | + | 277.418i | 0.573336 | + | 0.674983i | ||||
\(412\) | 184.168i | 0.447010i | ||||||||
\(413\) | −311.155 | − | 102.126i | −0.753403 | − | 0.247280i | ||||
\(414\) | −135.185 | −0.326533 | ||||||||
\(415\) | 72.2794 | − | 61.3947i | 0.174167 | − | 0.147939i | ||||
\(416\) | −44.3402 | + | 33.7065i | −0.106587 | + | 0.0810253i | ||||
\(417\) | −49.1560 | + | 299.838i | −0.117880 | + | 0.719036i | ||||
\(418\) | 35.1353 | − | 66.2722i | 0.0840557 | − | 0.158546i | ||||
\(419\) | −88.9705 | + | 404.197i | −0.212340 | + | 0.964670i | 0.743030 | + | 0.669258i | \(0.233388\pi\) |
−0.955370 | + | 0.295412i | \(0.904543\pi\) | |||||||
\(420\) | 101.581 | − | 11.0476i | 0.241860 | − | 0.0263039i | ||||
\(421\) | 423.556 | + | 703.955i | 1.00607 | + | 1.67210i | 0.690713 | + | 0.723129i | \(0.257297\pi\) |
0.315357 | + | 0.948973i | \(0.397876\pi\) | |||||||
\(422\) | 43.3597 | − | 156.168i | 0.102748 | − | 0.370065i | ||||
\(423\) | −12.0342 | − | 54.6720i | −0.0284497 | − | 0.129248i | ||||
\(424\) | −12.5200 | − | 37.1581i | −0.0295284 | − | 0.0876370i | ||||
\(425\) | 28.4000 | + | 53.5680i | 0.0668235 | + | 0.126042i | ||||
\(426\) | 94.6611 | − | 26.2825i | 0.222209 | − | 0.0616961i | ||||
\(427\) | −142.316 | + | 150.241i | −0.333292 | + | 0.351852i | ||||
\(428\) | −47.0250 | − | 286.840i | −0.109871 | − | 0.670186i | ||||
\(429\) | −97.4102 | − | 32.8213i | −0.227063 | − | 0.0765065i | ||||
\(430\) | −584.200 | − | 63.5356i | −1.35860 | − | 0.147757i | ||||
\(431\) | 68.1436 | + | 147.290i | 0.158106 | + | 0.341740i | 0.970398 | − | 0.241510i | \(-0.0776428\pi\) |
−0.812293 | + | 0.583250i | \(0.801781\pi\) | |||||||
\(432\) | 1.12526 | + | 20.7541i | 0.00260476 | + | 0.0480420i | ||||
\(433\) | −131.067 | − | 99.6345i | −0.302695 | − | 0.230103i | 0.442790 | − | 0.896626i | \(-0.353989\pi\) |
−0.745485 | + | 0.666523i | \(0.767782\pi\) | |||||||
\(434\) | −208.629 | + | 197.624i | −0.480712 | + | 0.455354i | ||||
\(435\) | 103.235 | + | 62.1146i | 0.237322 | + | 0.142792i | ||||
\(436\) | −31.1207 | + | 67.2664i | −0.0713778 | + | 0.154281i | ||||
\(437\) | 260.474 | + | 103.782i | 0.596051 | + | 0.237488i | ||||
\(438\) | 79.9854 | + | 117.970i | 0.182615 | + | 0.269337i | ||||
\(439\) | 423.365 | − | 624.416i | 0.964384 | − | 1.42236i | 0.0587637 | − | 0.998272i | \(-0.481284\pi\) |
0.905621 | − | 0.424089i | \(-0.139406\pi\) | |||||||
\(440\) | 33.5336 | + | 84.1629i | 0.0762126 | + | 0.191279i | ||||
\(441\) | −2.95446 | + | 54.4918i | −0.00669946 | + | 0.123564i | ||||
\(442\) | −168.669 | + | 198.572i | −0.381603 | + | 0.449258i | ||||
\(443\) | 20.7851 | + | 17.6550i | 0.0469189 | + | 0.0398533i | 0.670539 | − | 0.741874i | \(-0.266063\pi\) |
−0.623620 | + | 0.781728i | \(0.714339\pi\) | |||||||
\(444\) | 249.788 | + | 13.5431i | 0.562585 | + | 0.0305025i | ||||
\(445\) | 222.809 | − | 88.7752i | 0.500694 | − | 0.199495i | ||||
\(446\) | −385.589 | − | 261.436i | −0.864550 | − | 0.586179i | ||||
\(447\) | −227.967 | + | 154.566i | −0.509994 | + | 0.345785i | ||||
\(448\) | 16.4360 | − | 41.2512i | 0.0366874 | − | 0.0920785i | ||||
\(449\) | 606.482 | + | 280.588i | 1.35074 | + | 0.624918i | 0.955862 | − | 0.293816i | \(-0.0949252\pi\) |
0.394877 | + | 0.918734i | \(0.370787\pi\) | |||||||
\(450\) | −7.08771 | + | 11.7799i | −0.0157505 | + | 0.0261775i | ||||
\(451\) | −185.102 | − | 195.409i | −0.410425 | − | 0.433280i | ||||
\(452\) | 170.445 | − | 224.216i | 0.377090 | − | 0.496054i | ||||
\(453\) | −157.326 | + | 8.52999i | −0.347299 | + | 0.0188300i | ||||
\(454\) | −93.1156 | + | 43.0799i | −0.205101 | + | 0.0948896i | ||||
\(455\) | −31.4006 | + | 288.723i | −0.0690122 | + | 0.634557i | ||||
\(456\) | 13.7650 | − | 40.8529i | 0.0301863 | − | 0.0895898i | ||||
\(457\) | 30.6526 | − | 5.02523i | 0.0670734 | − | 0.0109961i | −0.128152 | − | 0.991755i | \(-0.540904\pi\) |
0.195225 | + | 0.980758i | \(0.437456\pi\) | |||||||
\(458\) | 223.413 | + | 211.628i | 0.487802 | + | 0.462070i | ||||
\(459\) | 26.0105 | + | 93.6814i | 0.0566678 | + | 0.204099i | ||||
\(460\) | −299.205 | + | 158.629i | −0.650446 | + | 0.344845i | ||||
\(461\) | −622.150 | + | 209.627i | −1.34957 | + | 0.454722i | −0.898971 | − | 0.438007i | \(-0.855684\pi\) |
−0.450594 | + | 0.892729i | \(0.648788\pi\) | |||||||
\(462\) | 80.0347 | − | 17.6170i | 0.173235 | − | 0.0381320i | ||||
\(463\) | 492.387 | + | 136.710i | 1.06347 | + | 0.295271i | 0.754838 | − | 0.655911i | \(-0.227715\pi\) |
0.308631 | + | 0.951182i | \(0.400129\pi\) | |||||||
\(464\) | 44.8634 | − | 26.9934i | 0.0966883 | − | 0.0581754i | ||||
\(465\) | −36.4319 | − | 334.986i | −0.0783482 | − | 0.720400i | ||||
\(466\) | −403.294 | − | 88.7717i | −0.865437 | − | 0.190497i | ||||
\(467\) | 608.823 | + | 322.778i | 1.30369 | + | 0.691173i | 0.968036 | − | 0.250812i | \(-0.0806977\pi\) |
0.335655 | + | 0.941985i | \(0.391043\pi\) | |||||||
\(468\) | −58.2976 | − | 9.55741i | −0.124568 | − | 0.0204218i | ||||
\(469\) | 217.092 | + | 285.579i | 0.462882 | + | 0.608911i | ||||
\(470\) | −90.7887 | − | 106.885i | −0.193167 | − | 0.227414i | ||||
\(471\) | − | 110.538i | − | 0.234688i | ||||||
\(472\) | −19.3449 | − | 165.752i | −0.0409850 | − | 0.351170i | ||||
\(473\) | −471.303 | −0.996412 | ||||||||
\(474\) | 201.451 | − | 171.114i | 0.425003 | − | 0.361001i | ||||
\(475\) | 22.7001 | − | 17.2562i | 0.0477897 | − | 0.0363288i | ||||
\(476\) | 33.6046 | − | 204.979i | 0.0705979 | − | 0.430628i | ||||
\(477\) | 19.4807 | − | 36.7445i | 0.0408401 | − | 0.0770326i | ||||
\(478\) | 18.5039 | − | 84.0641i | 0.0387111 | − | 0.175866i | ||||
\(479\) | −339.679 | + | 36.9423i | −0.709142 | + | 0.0771239i | −0.455580 | − | 0.890195i | \(-0.650568\pi\) |
−0.253563 | + | 0.967319i | \(0.581602\pi\) | |||||||
\(480\) | 26.8439 | + | 44.6148i | 0.0559247 | + | 0.0929476i | ||||
\(481\) | −190.216 | + | 685.095i | −0.395459 | + | 1.42431i | ||||
\(482\) | 125.768 | + | 571.369i | 0.260929 | + | 1.18541i | ||||
\(483\) | 97.8125 | + | 290.297i | 0.202510 | + | 0.601029i | ||||
\(484\) | −79.3198 | − | 149.613i | −0.163884 | − | 0.309118i | ||||
\(485\) | 695.662 | − | 193.150i | 1.43435 | − | 0.398247i | ||||
\(486\) | −15.1606 | + | 16.0049i | −0.0311947 | + | 0.0329318i | ||||
\(487\) | 117.079 | + | 714.149i | 0.240408 | + | 1.46643i | 0.780678 | + | 0.624934i | \(0.214874\pi\) |
−0.540269 | + | 0.841492i | \(0.681678\pi\) | |||||||
\(488\) | −99.9326 | − | 33.6712i | −0.204780 | − | 0.0689984i | ||||
\(489\) | 17.5956 | + | 1.91364i | 0.0359829 | + | 0.00391338i | ||||
\(490\) | 57.4027 | + | 124.074i | 0.117148 | + | 0.253212i | ||||
\(491\) | 50.7326 | + | 935.707i | 0.103325 | + | 1.90572i | 0.350208 | + | 0.936672i | \(0.386111\pi\) |
−0.246883 | + | 0.969045i | \(0.579406\pi\) | |||||||
\(492\) | −123.149 | − | 93.6154i | −0.250303 | − | 0.190275i | ||||
\(493\) | 177.809 | − | 168.430i | 0.360668 | − | 0.341643i | ||||
\(494\) | 104.991 | + | 63.1708i | 0.212532 | + | 0.127876i | ||||
\(495\) | −40.3484 | + | 87.2117i | −0.0815120 | + | 0.176185i | ||||
\(496\) | −136.034 | − | 54.2011i | −0.274263 | − | 0.109276i | ||||
\(497\) | −124.931 | − | 184.260i | −0.251371 | − | 0.370744i | ||||
\(498\) | 24.5310 | − | 36.1805i | 0.0492590 | − | 0.0726516i | ||||
\(499\) | −106.211 | − | 266.569i | −0.212847 | − | 0.534206i | 0.783326 | − | 0.621611i | \(-0.213522\pi\) |
−0.996173 | + | 0.0874055i | \(0.972142\pi\) | |||||||
\(500\) | 12.5206 | − | 230.929i | 0.0250413 | − | 0.461859i | ||||
\(501\) | 42.9970 | − | 50.6200i | 0.0858224 | − | 0.101038i | ||||
\(502\) | 161.145 | + | 136.878i | 0.321007 | + | 0.272665i | ||||
\(503\) | 36.7732 | + | 1.99378i | 0.0731077 | + | 0.00396379i | 0.0906565 | − | 0.995882i | \(-0.471103\pi\) |
−0.0175488 | + | 0.999846i | \(0.505586\pi\) | |||||||
\(504\) | 43.7535 | − | 17.4330i | 0.0868124 | − | 0.0345892i | ||||
\(505\) | −180.518 | − | 122.394i | −0.357461 | − | 0.242365i | ||||
\(506\) | −224.807 | + | 152.423i | −0.444282 | + | 0.301231i | ||||
\(507\) | −46.1955 | + | 115.942i | −0.0911153 | + | 0.228682i | ||||
\(508\) | 123.140 | + | 56.9707i | 0.242402 | + | 0.112147i | ||||
\(509\) | 362.413 | − | 602.335i | 0.712010 | − | 1.18337i | −0.263764 | − | 0.964587i | \(-0.584964\pi\) |
0.975774 | − | 0.218782i | \(-0.0702083\pi\) | |||||||
\(510\) | 167.497 | + | 176.824i | 0.328425 | + | 0.346714i | ||||
\(511\) | 195.456 | − | 257.118i | 0.382497 | − | 0.503166i | ||||
\(512\) | 22.5942 | − | 1.22502i | 0.0441294 | − | 0.00239262i | ||||
\(513\) | 41.4986 | − | 19.1993i | 0.0808939 | − | 0.0374255i | ||||
\(514\) | 3.29735 | − | 30.3186i | 0.00641507 | − | 0.0589856i | ||||
\(515\) | −156.250 | + | 463.734i | −0.303398 | + | 0.900454i | ||||
\(516\) | −267.298 | + | 43.8213i | −0.518020 | + | 0.0849250i | ||||
\(517\) | −81.6559 | − | 77.3486i | −0.157942 | − | 0.149610i | ||||
\(518\) | −151.651 | − | 546.196i | −0.292762 | − | 1.05443i | ||||
\(519\) | −61.4024 | + | 32.5535i | −0.118309 | + | 0.0627235i | ||||
\(520\) | −140.245 | + | 47.2541i | −0.269703 | + | 0.0908734i | ||||
\(521\) | 46.7898 | − | 10.2992i | 0.0898076 | − | 0.0197682i | −0.169839 | − | 0.985472i | \(-0.554325\pi\) |
0.259647 | + | 0.965704i | \(0.416394\pi\) | |||||||
\(522\) | 53.5099 | + | 14.8569i | 0.102509 | + | 0.0284616i | ||||
\(523\) | −182.372 | + | 109.730i | −0.348705 | + | 0.209809i | −0.679120 | − | 0.734027i | \(-0.737639\pi\) |
0.330416 | + | 0.943835i | \(0.392811\pi\) | |||||||
\(524\) | −13.4336 | − | 123.520i | −0.0256367 | − | 0.235726i | ||||
\(525\) | 30.4245 | + | 6.69695i | 0.0579515 | + | 0.0127561i | ||||
\(526\) | 59.5358 | + | 31.5639i | 0.113186 | + | 0.0600074i | ||||
\(527\) | −675.962 | − | 110.818i | −1.28266 | − | 0.210281i | ||||
\(528\) | 25.2718 | + | 33.2445i | 0.0478633 | + | 0.0629631i | ||||
\(529\) | −314.806 | − | 370.619i | −0.595097 | − | 0.700602i | ||||
\(530\) | − | 104.186i | − | 0.196577i | ||||||
\(531\) | 113.524 | − | 135.798i | 0.213794 | − | 0.255741i | ||||
\(532\) | −97.6877 | −0.183623 | ||||||||
\(533\) | 335.106 | − | 284.642i | 0.628717 | − | 0.534037i | ||||
\(534\) | 88.0100 | − | 66.9035i | 0.164813 | − | 0.125287i | ||||
\(535\) | 124.949 | − | 762.157i | 0.233550 | − | 1.42459i | ||||
\(536\) | −85.6232 | + | 161.502i | −0.159745 | + | 0.301311i | ||||
\(537\) | 25.6479 | − | 116.520i | 0.0477615 | − | 0.216983i | ||||
\(538\) | −46.7387 | + | 5.08314i | −0.0868749 | + | 0.00944821i | ||||
\(539\) | 56.5272 | + | 93.9489i | 0.104874 | + | 0.174302i | ||||
\(540\) | −14.7746 | + | 53.2134i | −0.0273604 | + | 0.0985434i | ||||
\(541\) | −101.786 | − | 462.419i | −0.188144 | − | 0.854749i | −0.972217 | − | 0.234080i | \(-0.924792\pi\) |
0.784073 | − | 0.620669i | \(-0.213139\pi\) | |||||||
\(542\) | −106.308 | − | 315.510i | −0.196140 | − | 0.582122i | ||||
\(543\) | 24.7309 | + | 46.6474i | 0.0455449 | + | 0.0859068i | ||||
\(544\) | 101.987 | − | 28.3167i | 0.187477 | − | 0.0520527i | ||||
\(545\) | −135.431 | + | 142.973i | −0.248498 | + | 0.262336i | ||||
\(546\) | 21.6574 | + | 132.104i | 0.0396655 | + | 0.241949i | ||||
\(547\) | 280.033 | + | 94.3543i | 0.511944 | + | 0.172494i | 0.563405 | − | 0.826181i | \(-0.309491\pi\) |
−0.0514607 | + | 0.998675i | \(0.516388\pi\) | |||||||
\(548\) | 417.834 | + | 45.4422i | 0.762471 | + | 0.0829237i | ||||
\(549\) | −46.9644 | − | 101.512i | −0.0855453 | − | 0.184903i | ||||
\(550\) | 1.49540 | + | 27.5809i | 0.00271890 | + | 0.0501472i | ||||
\(551\) | −91.6971 | − | 69.7063i | −0.166419 | − | 0.126509i | ||||
\(552\) | −113.326 | + | 107.348i | −0.205301 | + | 0.194472i | ||||
\(553\) | −513.213 | − | 308.790i | −0.928052 | − | 0.558390i | ||||
\(554\) | −19.6794 | + | 42.5364i | −0.0355224 | + | 0.0767804i | ||||
\(555\) | 617.474 | + | 246.024i | 1.11257 | + | 0.443287i | ||||
\(556\) | 196.890 | + | 290.391i | 0.354118 | + | 0.522285i | ||||
\(557\) | 90.6294 | − | 133.668i | 0.162710 | − | 0.239979i | −0.737590 | − | 0.675248i | \(-0.764036\pi\) |
0.900300 | + | 0.435269i | \(0.143347\pi\) | |||||||
\(558\) | −57.4889 | − | 144.286i | −0.103027 | − | 0.258578i | ||||
\(559\) | 41.6805 | − | 768.751i | 0.0745626 | − | 1.37523i | ||||
\(560\) | 76.3836 | − | 89.9257i | 0.136399 | − | 0.160582i | ||||
\(561\) | 148.882 | + | 126.461i | 0.265386 | + | 0.225421i | ||||
\(562\) | −618.588 | − | 33.5389i | −1.10069 | − | 0.0596777i | ||||
\(563\) | −826.571 | + | 329.336i | −1.46815 | + | 0.584966i | −0.960916 | − | 0.276839i | \(-0.910713\pi\) |
−0.507239 | + | 0.861806i | \(0.669334\pi\) | |||||||
\(564\) | −53.5027 | − | 36.2757i | −0.0948629 | − | 0.0643187i | ||||
\(565\) | 619.407 | − | 419.968i | 1.09629 | − | 0.743306i | ||||
\(566\) | −159.309 | + | 399.837i | −0.281466 | + | 0.706425i | ||||
\(567\) | 45.3385 | + | 20.9758i | 0.0799620 | + | 0.0369944i | ||||
\(568\) | 58.4845 | − | 97.2020i | 0.102966 | − | 0.171130i | ||||
\(569\) | 531.106 | + | 560.681i | 0.933402 | + | 0.985380i | 0.999923 | − | 0.0124046i | \(-0.00394861\pi\) |
−0.0665212 | + | 0.997785i | \(0.521190\pi\) | |||||||
\(570\) | 69.3202 | − | 91.1891i | 0.121614 | − | 0.159981i | ||||
\(571\) | −392.146 | + | 21.2615i | −0.686770 | + | 0.0372356i | −0.394222 | − | 0.919015i | \(-0.628986\pi\) |
−0.292548 | + | 0.956251i | \(0.594503\pi\) | |||||||
\(572\) | −107.723 | + | 49.8378i | −0.188326 | + | 0.0871290i | ||||
\(573\) | −29.5640 | + | 271.837i | −0.0515951 | + | 0.474409i | ||||
\(574\) | −111.927 | + | 332.186i | −0.194994 | + | 0.578722i | ||||
\(575\) | −101.889 | + | 16.7039i | −0.177199 | + | 0.0290502i | ||||
\(576\) | 17.4239 | + | 16.5048i | 0.0302498 | + | 0.0286541i | ||||
\(577\) | 37.2546 | + | 134.179i | 0.0645660 | + | 0.232546i | 0.988792 | − | 0.149300i | \(-0.0477022\pi\) |
−0.924226 | + | 0.381846i | \(0.875288\pi\) | |||||||
\(578\) | 76.3453 | − | 40.4757i | 0.132085 | − | 0.0700272i | ||||
\(579\) | −195.894 | + | 66.0043i | −0.338331 | + | 0.113997i | ||||
\(580\) | 135.867 | − | 29.9066i | 0.234254 | − | 0.0515632i | ||||
\(581\) | −95.4438 | − | 26.4998i | −0.164275 | − | 0.0456107i | ||||
\(582\) | 285.150 | − | 171.569i | 0.489948 | − | 0.294792i | ||||
\(583\) | −9.03435 | − | 83.0695i | −0.0154963 | − | 0.142486i | ||||
\(584\) | 160.730 | + | 35.3794i | 0.275223 | + | 0.0605812i | ||||
\(585\) | −138.684 | − | 73.5258i | −0.237067 | − | 0.125685i | ||||
\(586\) | −330.881 | − | 54.2453i | −0.564644 | − | 0.0925687i | ||||
\(587\) | −275.980 | − | 363.046i | −0.470154 | − | 0.618477i | 0.498500 | − | 0.866890i | \(-0.333884\pi\) |
−0.968654 | + | 0.248412i | \(0.920091\pi\) | |||||||
\(588\) | 40.7945 | + | 48.0270i | 0.0693784 | + | 0.0816786i | ||||
\(589\) | 322.146i | 0.546937i | ||||||||
\(590\) | 91.9155 | − | 433.775i | 0.155789 | − | 0.735212i | ||||
\(591\) | −233.197 | −0.394580 | ||||||||
\(592\) | 220.153 | − | 187.000i | 0.371881 | − | 0.315878i | ||||
\(593\) | 485.401 | − | 368.992i | 0.818551 | − | 0.622247i | −0.109799 | − | 0.993954i | \(-0.535021\pi\) |
0.928350 | + | 0.371707i | \(0.121227\pi\) | |||||||
\(594\) | −7.16577 | + | 43.7092i | −0.0120636 | + | 0.0735846i | ||||
\(595\) | 258.523 | − | 487.626i | 0.434492 | − | 0.819539i | ||||
\(596\) | −68.3681 | + | 310.600i | −0.114712 | + | 0.521140i | ||||
\(597\) | −664.731 | + | 72.2939i | −1.11345 | + | 0.121095i | ||||
\(598\) | −228.738 | − | 380.166i | −0.382506 | − | 0.635729i | ||||
\(599\) | −143.530 | + | 516.950i | −0.239617 | + | 0.863021i | 0.741718 | + | 0.670712i | \(0.234011\pi\) |
−0.981334 | + | 0.192309i | \(0.938402\pi\) | |||||||
\(600\) | 3.41256 | + | 15.5034i | 0.00568760 | + | 0.0258390i | ||||
\(601\) | −258.834 | − | 768.193i | −0.430673 | − | 1.27819i | −0.915053 | − | 0.403333i | \(-0.867852\pi\) |
0.484380 | − | 0.874857i | \(-0.339045\pi\) | |||||||
\(602\) | 287.505 | + | 542.292i | 0.477583 | + | 0.900818i | ||||
\(603\) | −186.817 | + | 51.8696i | −0.309813 | + | 0.0860192i | ||||
\(604\) | −125.114 | + | 132.082i | −0.207143 | + | 0.218678i | ||||
\(605\) | −72.7935 | − | 444.021i | −0.120320 | − | 0.733918i | ||||
\(606\) | −95.2671 | − | 32.0992i | −0.157206 | − | 0.0529690i | ||||
\(607\) | −839.437 | − | 91.2943i | −1.38293 | − | 0.150402i | −0.613782 | − | 0.789476i | \(-0.710353\pi\) |
−0.769146 | + | 0.639073i | \(0.779318\pi\) | |||||||
\(608\) | −20.9015 | − | 45.1779i | −0.0343775 | − | 0.0743058i | ||||
\(609\) | −6.81295 | − | 125.657i | −0.0111871 | − | 0.206334i | ||||
\(610\) | −223.063 | − | 169.568i | −0.365676 | − | 0.277980i | ||||
\(611\) | 133.386 | − | 126.350i | 0.218308 | − | 0.206792i | ||||
\(612\) | 96.1960 | + | 57.8792i | 0.157183 | + | 0.0945739i | ||||
\(613\) | −148.878 | + | 321.794i | −0.242867 | + | 0.524949i | −0.990226 | − | 0.139472i | \(-0.955460\pi\) |
0.747359 | + | 0.664421i | \(0.231322\pi\) | |||||||
\(614\) | 174.843 | + | 69.6637i | 0.284760 | + | 0.113459i | ||||
\(615\) | −230.664 | − | 340.204i | −0.375063 | − | 0.553177i | ||||
\(616\) | 53.1043 | − | 78.3230i | 0.0862083 | − | 0.127148i | ||||
\(617\) | 63.0230 | + | 158.176i | 0.102144 | + | 0.256363i | 0.971163 | − | 0.238416i | \(-0.0766283\pi\) |
−0.869019 | + | 0.494779i | \(0.835249\pi\) | |||||||
\(618\) | −12.2115 | + | 225.228i | −0.0197597 | + | 0.364447i | ||||
\(619\) | 707.082 | − | 832.442i | 1.14230 | − | 1.34482i | 0.212320 | − | 0.977200i | \(-0.431898\pi\) |
0.929977 | − | 0.367617i | \(-0.119826\pi\) | |||||||
\(620\) | −296.549 | − | 251.891i | −0.478305 | − | 0.406276i | ||||
\(621\) | −165.324 | − | 8.96361i | −0.266222 | − | 0.0144341i | ||||
\(622\) | 211.453 | − | 84.2507i | 0.339957 | − | 0.135451i | ||||
\(623\) | −207.349 | − | 140.586i | −0.332823 | − | 0.225659i | ||||
\(624\) | −56.4607 | + | 38.2813i | −0.0904819 | + | 0.0613483i | ||||
\(625\) | 257.435 | − | 646.112i | 0.411895 | − | 1.03378i | ||||
\(626\) | 190.573 | + | 88.1684i | 0.304429 | + | 0.140844i | ||||
\(627\) | 47.3629 | − | 78.7178i | 0.0755390 | − | 0.125547i | ||||
\(628\) | −87.7768 | − | 92.6649i | −0.139772 | − | 0.147556i | ||||
\(629\) | 817.703 | − | 1075.67i | 1.30000 | − | 1.71013i | ||||
\(630\) | 124.961 | − | 6.77521i | 0.198351 | − | 0.0107543i | ||||
\(631\) | −171.287 | + | 79.2458i | −0.271453 | + | 0.125588i | −0.550894 | − | 0.834575i | \(-0.685713\pi\) |
0.279440 | + | 0.960163i | \(0.409851\pi\) | |||||||
\(632\) | 32.9985 | − | 303.416i | 0.0522128 | − | 0.480089i | ||||
\(633\) | 63.3816 | − | 188.110i | 0.100129 | − | 0.297172i | ||||
\(634\) | −788.840 | + | 129.324i | −1.24423 | + | 0.203981i | ||||
\(635\) | 261.732 | + | 247.925i | 0.412176 | + | 0.390433i | ||||
\(636\) | −12.8475 | − | 46.2726i | −0.0202005 | − | 0.0727557i | ||||
\(637\) | −158.241 | + | 83.8940i | −0.248416 | + | 0.131702i | ||||
\(638\) | 105.736 | − | 35.6267i | 0.165731 | − | 0.0558412i | ||||
\(639\) | 117.508 | − | 25.8656i | 0.183894 | − | 0.0404782i | ||||
\(640\) | 57.9315 | + | 16.0846i | 0.0905179 | + | 0.0251322i | ||||
\(641\) | 242.076 | − | 145.652i | 0.377653 | − | 0.227226i | −0.314053 | − | 0.949406i | \(-0.601687\pi\) |
0.691706 | + | 0.722179i | \(0.256859\pi\) | |||||||
\(642\) | −38.4899 | − | 353.908i | −0.0599530 | − | 0.551259i | ||||
\(643\) | −1133.50 | − | 249.502i | −1.76283 | − | 0.388028i | −0.788837 | − | 0.614602i | \(-0.789317\pi\) |
−0.973994 | + | 0.226574i | \(0.927248\pi\) | |||||||
\(644\) | 312.518 | + | 165.687i | 0.485277 | + | 0.257277i | ||||
\(645\) | −710.234 | − | 116.437i | −1.10114 | − | 0.180522i | ||||
\(646\) | −140.916 | − | 185.372i | −0.218137 | − | 0.286954i | ||||
\(647\) | −480.224 | − | 565.364i | −0.742232 | − | 0.873823i | 0.253383 | − | 0.967366i | \(-0.418457\pi\) |
−0.995615 | + | 0.0935427i | \(0.970181\pi\) | |||||||
\(648\) | 25.4558i | 0.0392837i | ||||||||
\(649\) | 35.6717 | − | 353.828i | 0.0549642 | − | 0.545189i | ||||
\(650\) | −45.1201 | −0.0694155 | ||||||||
\(651\) | −268.246 | + | 227.850i | −0.412052 | + | 0.350001i | ||||
\(652\) | 16.2701 | − | 12.3682i | 0.0249542 | − | 0.0189697i | ||||
\(653\) | 102.528 | − | 625.394i | 0.157011 | − | 0.957725i | −0.784349 | − | 0.620320i | \(-0.787003\pi\) |
0.941360 | − | 0.337404i | \(-0.109549\pi\) | |||||||
\(654\) | −42.5192 | + | 80.1998i | −0.0650141 | + | 0.122630i | ||||
\(655\) | 70.9701 | − | 322.420i | 0.108351 | − | 0.492245i | ||||
\(656\) | −177.575 | + | 19.3125i | −0.270694 | + | 0.0294398i | ||||
\(657\) | 89.9959 | + | 149.574i | 0.136980 | + | 0.227663i | ||||
\(658\) | −39.1872 | + | 141.140i | −0.0595550 | + | 0.214498i | ||||
\(659\) | 75.5540 | + | 343.245i | 0.114649 | + | 0.520857i | 0.998582 | + | 0.0532424i | \(0.0169556\pi\) |
−0.883932 | + | 0.467615i | \(0.845113\pi\) | |||||||
\(660\) | 35.4293 | + | 105.150i | 0.0536807 | + | 0.159319i | ||||
\(661\) | 70.2952 | + | 132.591i | 0.106347 | + | 0.200591i | 0.930974 | − | 0.365085i | \(-0.118960\pi\) |
−0.824627 | + | 0.565676i | \(0.808615\pi\) | |||||||
\(662\) | 188.216 | − | 52.2580i | 0.284315 | − | 0.0789396i | ||||
\(663\) | −219.440 | + | 231.660i | −0.330980 | + | 0.349411i | ||||
\(664\) | −8.16596 | − | 49.8101i | −0.0122981 | − | 0.0750152i | ||||
\(665\) | −245.977 | − | 82.8793i | −0.369890 | − | 0.124631i | ||||
\(666\) | 304.580 | + | 33.1250i | 0.457327 | + | 0.0497373i | ||||
\(667\) | 175.126 | + | 378.528i | 0.262557 | + | 0.567508i | ||||
\(668\) | −4.15197 | − | 76.5785i | −0.00621552 | − | 0.114638i | ||||
\(669\) | −454.221 | − | 345.290i | −0.678955 | − | 0.516128i | ||||
\(670\) | −352.619 | + | 334.019i | −0.526297 | + | 0.498535i | ||||
\(671\) | −192.556 | − | 115.857i | −0.286968 | − | 0.172663i | ||||
\(672\) | 22.8356 | − | 49.3583i | 0.0339815 | − | 0.0734498i | ||||
\(673\) | −25.1398 | − | 10.0166i | −0.0373549 | − | 0.0148835i | 0.351386 | − | 0.936231i | \(-0.385711\pi\) |
−0.388741 | + | 0.921347i | \(0.627090\pi\) | |||||||
\(674\) | 396.124 | + | 584.240i | 0.587721 | + | 0.866824i | ||||
\(675\) | −9.44899 | + | 13.9362i | −0.0139985 | + | 0.0206463i | ||||
\(676\) | 53.3419 | + | 133.878i | 0.0789082 | + | 0.198045i | ||||
\(677\) | 11.0616 | − | 204.020i | 0.0163392 | − | 0.301358i | −0.978930 | − | 0.204198i | \(-0.934541\pi\) |
0.995269 | − | 0.0971603i | \(-0.0309759\pi\) | |||||||
\(678\) | 223.312 | − | 262.904i | 0.329369 | − | 0.387763i | ||||
\(679\) | −574.748 | − | 488.195i | −0.846463 | − | 0.718992i | ||||
\(680\) | 280.828 | + | 15.2260i | 0.412982 | + | 0.0223912i | ||||
\(681\) | −116.732 | + | 46.5103i | −0.171413 | + | 0.0682971i | ||||
\(682\) | −258.287 | − | 175.123i | −0.378719 | − | 0.256778i | ||||
\(683\) | 989.766 | − | 671.078i | 1.44915 | − | 0.982545i | 0.453312 | − | 0.891352i | \(-0.350242\pi\) |
0.995833 | − | 0.0911929i | \(-0.0290680\pi\) | |||||||
\(684\) | 19.5427 | − | 49.0484i | 0.0285711 | − | 0.0717081i | ||||
\(685\) | 1013.55 | + | 468.918i | 1.47963 | + | 0.684552i | ||||
\(686\) | 271.919 | − | 451.932i | 0.396383 | − | 0.658794i | ||||
\(687\) | 259.191 | + | 273.624i | 0.377279 | + | 0.398288i | ||||
\(688\) | −189.280 | + | 248.994i | −0.275116 | + | 0.361909i | ||||
\(689\) | 136.295 | − | 7.38971i | 0.197816 | − | 0.0107253i | ||||
\(690\) | −376.431 | + | 174.155i | −0.545552 | + | 0.252399i | ||||
\(691\) | −66.9956 | + | 616.014i | −0.0969546 | + | 0.891482i | 0.840131 | + | 0.542383i | \(0.182478\pi\) |
−0.937086 | + | 0.349099i | \(0.886488\pi\) | |||||||
\(692\) | −25.6238 | + | 76.0487i | −0.0370286 | + | 0.109897i | ||||
\(693\) | 99.0465 | − | 16.2378i | 0.142924 | − | 0.0234312i | ||||
\(694\) | −689.141 | − | 652.789i | −0.992998 | − | 0.940618i | ||||
\(695\) | 249.397 | + | 898.245i | 0.358844 | + | 1.29244i | ||||
\(696\) | 56.6554 | − | 30.0368i | 0.0814015 | − | 0.0431563i | ||||
\(697\) | −791.813 | + | 266.793i | −1.13603 | + | 0.382773i | ||||
\(698\) | −255.643 | + | 56.2714i | −0.366251 | + | 0.0806180i | ||||
\(699\) | −487.321 | − | 135.304i | −0.697169 | − | 0.193568i | ||||
\(700\) | 30.8231 | − | 18.5456i | 0.0440330 | − | 0.0264937i | ||||
\(701\) | 128.553 | + | 1182.03i | 0.183385 | + | 1.68620i | 0.618469 | + | 0.785809i | \(0.287753\pi\) |
−0.435084 | + | 0.900390i | \(0.643281\pi\) | |||||||
\(702\) | −70.6613 | − | 15.5537i | −0.100657 | − | 0.0221563i | ||||
\(703\) | −561.434 | − | 297.654i | −0.798626 | − | 0.423405i | ||||
\(704\) | 47.5846 | + | 7.80110i | 0.0675918 | + | 0.0110811i | ||||
\(705\) | −103.943 | − | 136.734i | −0.147437 | − | 0.193949i | ||||
\(706\) | 416.291 | + | 490.096i | 0.589647 | + | 0.694186i | ||||
\(707\) | 227.803i | 0.322211i | ||||||||
\(708\) | −12.6674 | − | 203.989i | −0.0178918 | − | 0.288120i | ||||
\(709\) | 413.951 | 0.583852 | 0.291926 | − | 0.956441i | \(-0.405704\pi\) | ||||
0.291926 | + | 0.956441i | \(0.405704\pi\) | |||||||
\(710\) | 229.731 | − | 195.135i | 0.323565 | − | 0.274838i | ||||
\(711\) | 257.711 | − | 195.907i | 0.362462 | − | 0.275537i | ||||
\(712\) | 20.6523 | − | 125.973i | 0.0290060 | − | 0.176929i | ||||
\(713\) | 546.387 | − | 1030.59i | 0.766321 | − | 1.44543i | ||||
\(714\) | 54.6881 | − | 248.451i | 0.0765940 | − | 0.347970i | ||||
\(715\) | −313.528 | + | 34.0982i | −0.438501 | + | 0.0476898i | ||||
\(716\) | −71.0259 | − | 118.046i | −0.0991982 | − | 0.164869i | ||||
\(717\) | 28.2033 | − | 101.579i | 0.0393351 | − | 0.141672i | ||||
\(718\) | −1.48468 | − | 6.74498i | −0.00206780 | − | 0.00939412i | ||||
\(719\) | −177.564 | − | 526.991i | −0.246960 | − | 0.732950i | −0.997403 | − | 0.0720158i | \(-0.977057\pi\) |
0.750444 | − | 0.660934i | \(-0.229840\pi\) | |||||||
\(720\) | 29.8704 | + | 56.3416i | 0.0414867 | + | 0.0782522i | ||||
\(721\) | 492.493 | − | 136.740i | 0.683069 | − | 0.189653i | ||||
\(722\) | 275.782 | − | 291.140i | 0.381970 | − | 0.403241i | ||||
\(723\) | 115.922 | + | 707.094i | 0.160335 | + | 0.978000i | ||||
\(724\) | 57.7742 | + | 19.4664i | 0.0797986 | + | 0.0268873i | ||||
\(725\) | 42.1664 | + | 4.58587i | 0.0581605 | + | 0.00632534i | ||||
\(726\) | −87.0838 | − | 188.229i | −0.119950 | − | 0.259268i | ||||
\(727\) | −11.5228 | − | 212.525i | −0.0158498 | − | 0.292332i | −0.995702 | − | 0.0926102i | \(-0.970479\pi\) |
0.979853 | − | 0.199722i | \(-0.0640038\pi\) | |||||||
\(728\) | 123.058 | + | 93.5461i | 0.169035 | + | 0.128497i | ||||
\(729\) | −19.6019 | + | 18.5679i | −0.0268887 | + | 0.0254704i | ||||
\(730\) | 374.702 | + | 225.451i | 0.513290 | + | 0.308837i | ||||
\(731\) | −614.322 | + | 1327.84i | −0.840386 | + | 1.81647i | ||||
\(732\) | −119.980 | − | 47.8043i | −0.163907 | − | 0.0653064i | ||||
\(733\) | 429.813 | + | 633.926i | 0.586375 | + | 0.864838i | 0.998937 | − | 0.0460912i | \(-0.0146765\pi\) |
−0.412562 | + | 0.910929i | \(0.635366\pi\) | |||||||
\(734\) | −266.682 | + | 393.327i | −0.363328 | + | 0.535868i | ||||
\(735\) | 61.9737 | + | 155.542i | 0.0843179 | + | 0.211622i | ||||
\(736\) | −9.75834 | + | 179.982i | −0.0132586 | + | 0.244541i | ||||
\(737\) | −252.186 | + | 296.896i | −0.342179 | + | 0.402844i | ||||
\(738\) | −144.397 | − | 122.652i | −0.195661 | − | 0.166196i | ||||
\(739\) | −232.283 | − | 12.5940i | −0.314321 | − | 0.0170420i | −0.103696 | − | 0.994609i | \(-0.533067\pi\) |
−0.210624 | + | 0.977567i | \(0.567550\pi\) | |||||||
\(740\) | 712.998 | − | 284.084i | 0.963510 | − | 0.383898i | ||||
\(741\) | 124.210 | + | 84.2161i | 0.167624 | + | 0.113652i | ||||
\(742\) | −90.0705 | + | 61.0693i | −0.121389 | + | 0.0823037i | ||||
\(743\) | 344.021 | − | 863.426i | 0.463015 | − | 1.16208i | −0.493330 | − | 0.869842i | \(-0.664220\pi\) |
0.956345 | − | 0.292239i | \(-0.0944003\pi\) | |||||||
\(744\) | −162.769 | − | 75.3051i | −0.218776 | − | 0.101217i | ||||
\(745\) | −435.667 | + | 724.084i | −0.584788 | + | 0.971924i | ||||
\(746\) | −22.2639 | − | 23.5037i | −0.0298444 | − | 0.0315063i | ||||
\(747\) | 32.3991 | − | 42.6203i | 0.0433723 | − | 0.0570553i | ||||
\(748\) | 225.230 | − | 12.2116i | 0.301109 | − | 0.0163257i | ||||
\(749\) | −732.138 | + | 338.723i | −0.977487 | + | 0.452234i | ||||
\(750\) | 30.6242 | − | 281.585i | 0.0408322 | − | 0.375446i | ||||
\(751\) | −392.260 | + | 1164.19i | −0.522316 | + | 1.55018i | 0.284077 | + | 0.958801i | \(0.408313\pi\) |
−0.806394 | + | 0.591379i | \(0.798584\pi\) | |||||||
\(752\) | −73.6578 | + | 12.0756i | −0.0979492 | + | 0.0160580i | ||||
\(753\) | 187.997 | + | 178.080i | 0.249663 | + | 0.236494i | ||||
\(754\) | 48.7604 | + | 175.619i | 0.0646689 | + | 0.232916i | ||||
\(755\) | −427.097 | + | 226.432i | −0.565691 | + | 0.299910i | ||||
\(756\) | 54.6642 | − | 18.4185i | 0.0723071 | − | 0.0243631i | ||||
\(757\) | 311.110 | − | 68.4805i | 0.410978 | − | 0.0904630i | −0.00466919 | − | 0.999989i | \(-0.501486\pi\) |
0.415647 | + | 0.909526i | \(0.363555\pi\) | |||||||
\(758\) | 101.942 | + | 28.3039i | 0.134488 | + | 0.0373403i | ||||
\(759\) | −285.034 | + | 171.499i | −0.375538 | + | 0.225954i | ||||
\(760\) | −14.3005 | − | 131.491i | −0.0188164 | − | 0.173014i | ||||
\(761\) | −123.988 | − | 27.2917i | −0.162927 | − | 0.0358630i | 0.132758 | − | 0.991149i | \(-0.457617\pi\) |
−0.295685 | + | 0.955286i | \(0.595548\pi\) | |||||||
\(762\) | 146.817 | + | 77.8372i | 0.192673 | + | 0.102149i | ||||
\(763\) | 202.987 | + | 33.2780i | 0.266038 | + | 0.0436146i | ||||
\(764\) | 191.078 | + | 251.359i | 0.250102 | + | 0.329004i | ||||
\(765\) | 193.116 | + | 227.353i | 0.252439 | + | 0.297194i | ||||
\(766\) | − | 182.018i | − | 0.237621i | ||||||
\(767\) | 573.980 | + | 89.4762i | 0.748344 | + | 0.116657i | ||||
\(768\) | 27.7128 | 0.0360844 | ||||||||
\(769\) | −977.094 | + | 829.951i | −1.27060 | + | 1.07926i | −0.277659 | + | 0.960680i | \(0.589558\pi\) |
−0.992944 | + | 0.118580i | \(0.962166\pi\) | |||||||
\(770\) | 200.166 | − | 152.163i | 0.259956 | − | 0.197614i | ||||
\(771\) | 6.04280 | − | 36.8595i | 0.00783762 | − | 0.0478074i | ||||
\(772\) | −111.806 | + | 210.888i | −0.144826 | + | 0.273172i | ||||
\(773\) | 190.238 | − | 864.260i | 0.246104 | − | 1.11806i | −0.677744 | − | 0.735298i | \(-0.737042\pi\) |
0.923847 | − | 0.382761i | \(-0.125027\pi\) | |||||||
\(774\) | −329.798 | + | 35.8676i | −0.426095 | + | 0.0463406i | ||||
\(775\) | −61.1581 | − | 101.646i | −0.0789137 | − | 0.131156i | ||||
\(776\) | 102.802 | − | 370.261i | 0.132477 | − | 0.477140i | ||||
\(777\) | −149.245 | − | 678.025i | −0.192078 | − | 0.872619i | ||||
\(778\) | 197.510 | + | 586.188i | 0.253869 | + | 0.753455i | ||||
\(779\) | 184.064 | + | 347.182i | 0.236283 | + | 0.445676i | ||||
\(780\) | −174.646 | + | 48.4902i | −0.223905 | + | 0.0621670i | ||||
\(781\) | 166.248 | − | 175.506i | 0.212865 | − | 0.224719i | ||||
\(782\) | 136.406 | + | 832.040i | 0.174432 | + | 1.06399i | ||||
\(783\) | 64.4547 | + | 21.7173i | 0.0823177 | + | 0.0277361i | ||||
\(784\) | 72.3360 | + | 7.86701i | 0.0922652 | + | 0.0100345i | ||||
\(785\) | −142.404 | − | 307.800i | −0.181406 | − | 0.392102i | ||||
\(786\) | −8.23847 | − | 151.950i | −0.0104815 | − | 0.193320i | ||||
\(787\) | 28.0887 | + | 21.3525i | 0.0356908 | + | 0.0271315i | 0.622868 | − | 0.782327i | \(-0.285968\pi\) |
−0.587177 | + | 0.809459i | \(0.699761\pi\) | |||||||
\(788\) | −195.490 | + | 185.178i | −0.248084 | + | 0.234998i | ||||
\(789\) | 70.7164 | + | 42.5486i | 0.0896278 | + | 0.0539273i | ||||
\(790\) | 340.512 | − | 736.004i | 0.431028 | − | 0.931651i | ||||
\(791\) | −726.139 | − | 289.320i | −0.918001 | − | 0.365765i | ||||
\(792\) | 28.7018 | + | 42.3320i | 0.0362397 | + | 0.0534495i | ||||
\(793\) | 206.006 | − | 303.835i | 0.259780 | − | 0.383147i | ||||
\(794\) | 146.339 | + | 367.284i | 0.184307 | + | 0.462575i | ||||
\(795\) | 6.90819 | − | 127.414i | 0.00868955 | − | 0.160269i | ||||
\(796\) | −499.841 | + | 588.459i | −0.627941 | + | 0.739270i | ||||
\(797\) | −581.615 | − | 494.028i | −0.729755 | − | 0.619860i | 0.203499 | − | 0.979075i | \(-0.434769\pi\) |
−0.933255 | + | 0.359215i | \(0.883044\pi\) | |||||||
\(798\) | −119.467 | − | 6.47731i | −0.149708 | − | 0.00811693i | ||||
\(799\) | −324.355 | + | 129.235i | −0.405951 | + | 0.161746i | ||||
\(800\) | 15.1718 | + | 10.2868i | 0.0189648 | + | 0.0128584i | ||||
\(801\) | 112.068 | − | 75.9839i | 0.139910 | − | 0.0948613i | ||||
\(802\) | 169.800 | − | 426.165i | 0.211720 | − | 0.531378i | ||||
\(803\) | 318.307 | + | 147.264i | 0.396397 | + | 0.183393i | ||||
\(804\) | −115.421 | + | 191.832i | −0.143559 | + | 0.238597i | ||||
\(805\) | 646.349 | + | 682.342i | 0.802917 | + | 0.847630i | ||||
\(806\) | 308.488 | − | 405.809i | 0.382739 | − | 0.503485i | ||||
\(807\) | −57.4961 | + | 3.11735i | −0.0712467 | + | 0.00386288i | ||||
\(808\) | −105.353 | + | 48.7414i | −0.130387 | + | 0.0603235i | ||||
\(809\) | −166.989 | + | 1535.44i | −0.206415 | + | 1.89795i | 0.193027 | + | 0.981193i | \(0.438169\pi\) |
−0.399442 | + | 0.916758i | \(0.630796\pi\) | |||||||
\(810\) | −21.5970 | + | 64.0977i | −0.0266630 | + | 0.0791329i | ||||
\(811\) | 1080.98 | − | 177.218i | 1.33290 | − | 0.218518i | 0.547136 | − | 0.837044i | \(-0.315718\pi\) |
0.785764 | + | 0.618526i | \(0.212270\pi\) | |||||||
\(812\) | −105.494 | − | 99.9295i | −0.129919 | − | 0.123066i | ||||
\(813\) | −109.089 | − | 392.902i | −0.134180 | − | 0.483274i | ||||
\(814\) | 543.852 | − | 288.332i | 0.668123 | − | 0.354217i | ||||
\(815\) | 51.4615 | − | 17.3394i | 0.0631429 | − | 0.0212753i | ||||
\(816\) | 126.603 | − | 27.8674i | 0.155151 | − | 0.0341512i | ||||
\(817\) | 662.990 | + | 184.078i | 0.811494 | + | 0.225310i | ||||
\(818\) | 790.814 | − | 475.817i | 0.966765 | − | 0.581683i | ||||
\(819\) | 17.7265 | + | 162.993i | 0.0216441 | + | 0.199014i | ||||
\(820\) | −463.519 | − | 102.028i | −0.565267 | − | 0.124425i | ||||
\(821\) | 274.444 | + | 145.501i | 0.334280 | + | 0.177224i | 0.627090 | − | 0.778946i | \(-0.284246\pi\) |
−0.292810 | + | 0.956171i | \(0.594590\pi\) | |||||||
\(822\) | 507.976 | + | 83.2785i | 0.617976 | + | 0.101312i | ||||
\(823\) | −574.447 | − | 755.673i | −0.697992 | − | 0.918193i | 0.301384 | − | 0.953503i | \(-0.402551\pi\) |
−0.999376 | + | 0.0353099i | \(0.988758\pi\) | |||||||
\(824\) | 168.614 | + | 198.507i | 0.204628 | + | 0.240907i | ||||
\(825\) | 33.8292i | 0.0410051i | ||||||||
\(826\) | −428.883 | + | 174.798i | −0.519229 | + | 0.211620i | ||||
\(827\) | 586.577 | 0.709283 | 0.354641 | − | 0.935002i | \(-0.384603\pi\) | ||||
0.354641 | + | 0.935002i | \(0.384603\pi\) | |||||||
\(828\) | −145.710 | + | 123.767i | −0.175978 | + | 0.149477i | ||||
\(829\) | 101.724 | − | 77.3282i | 0.122706 | − | 0.0932789i | −0.542021 | − | 0.840365i | \(-0.682341\pi\) |
0.664727 | + | 0.747086i | \(0.268548\pi\) | |||||||
\(830\) | 21.6976 | − | 132.350i | 0.0261417 | − | 0.159457i | ||||
\(831\) | −26.8873 | + | 50.7149i | −0.0323554 | + | 0.0610288i | ||||
\(832\) | −16.9327 | + | 76.9262i | −0.0203519 | + | 0.0924594i | ||||
\(833\) | 338.370 | − | 36.7999i | 0.406206 | − | 0.0441776i | ||||
\(834\) | 221.531 | + | 368.188i | 0.265625 | + | 0.441472i | ||||
\(835\) | 54.5154 | − | 196.347i | 0.0652879 | − | 0.235146i | ||||
\(836\) | −22.8041 | − | 103.600i | −0.0272776 | − | 0.123923i | ||||
\(837\) | −60.7389 | − | 180.267i | −0.0725674 | − | 0.215372i | ||||
\(838\) | 274.162 | + | 517.124i | 0.327162 | + | 0.617093i | ||||
\(839\) | −258.551 | + | 71.7864i | −0.308166 | + | 0.0855618i | −0.418169 | − | 0.908369i | \(-0.637328\pi\) |
0.110003 | + | 0.993931i | \(0.464914\pi\) | |||||||
\(840\) | 99.3759 | − | 104.910i | 0.118305 | − | 0.124893i | ||||
\(841\) | 108.340 | + | 660.843i | 0.128822 | + | 0.785782i | ||||
\(842\) | 1101.03 | + | 370.982i | 1.30764 | + | 0.440596i | ||||
\(843\) | −754.278 | − | 82.0326i | −0.894754 | − | 0.0973104i | ||||
\(844\) | −96.2423 | − | 208.024i | −0.114031 | − | 0.246474i | ||||
\(845\) | 20.7310 | + | 382.360i | 0.0245337 | + | 0.452497i | ||||
\(846\) | −63.0257 | − | 47.9109i | −0.0744985 | − | 0.0566323i | ||||
\(847\) | −341.195 | + | 323.197i | −0.402827 | + | 0.381578i | ||||
\(848\) | −47.5147 | − | 28.5886i | −0.0560314 | − | 0.0337130i | ||||
\(849\) | −221.339 | + | 478.417i | −0.260706 | + | 0.563506i | ||||
\(850\) | 79.6550 | + | 31.7374i | 0.0937118 | + | 0.0373382i | ||||
\(851\) | 1291.27 | + | 1904.48i | 1.51736 | + | 2.23793i | ||||
\(852\) | 77.9687 | − | 114.995i | 0.0915125 | − | 0.134971i | ||||
\(853\) | −445.478 | − | 1118.07i | −0.522248 | − | 1.31074i | −0.919520 | − | 0.393044i | \(-0.871422\pi\) |
0.397271 | − | 0.917701i | \(-0.369957\pi\) | |||||||
\(854\) | −15.8445 | + | 292.235i | −0.0185533 | + | 0.342195i | ||||
\(855\) | 90.8214 | − | 106.923i | 0.106224 | − | 0.125056i | ||||
\(856\) | −313.300 | − | 266.120i | −0.366005 | − | 0.310888i | ||||
\(857\) | −544.777 | − | 29.5369i | −0.635679 | − | 0.0344655i | −0.266516 | − | 0.963830i | \(-0.585873\pi\) |
−0.369162 | + | 0.929365i | \(0.620355\pi\) | |||||||
\(858\) | −135.044 | + | 53.8064i | −0.157394 | + | 0.0627114i | ||||
\(859\) | 1321.72 | + | 896.147i | 1.53867 | + | 1.04324i | 0.976316 | + | 0.216348i | \(0.0694147\pi\) |
0.562354 | + | 0.826896i | \(0.309896\pi\) | |||||||
\(860\) | −687.855 | + | 466.377i | −0.799831 | + | 0.542299i | ||||
\(861\) | −158.907 | + | 398.826i | −0.184561 | + | 0.463212i | ||||
\(862\) | 208.299 | + | 96.3696i | 0.241647 | + | 0.111798i | ||||
\(863\) | −522.423 | + | 868.274i | −0.605357 | + | 1.00611i | 0.390964 | + | 0.920406i | \(0.372142\pi\) |
−0.996321 | + | 0.0857048i | \(0.972686\pi\) | |||||||
\(864\) | 20.2142 | + | 21.3398i | 0.0233960 | + | 0.0246989i | ||||
\(865\) | −129.041 | + | 169.751i | −0.149180 | + | 0.196244i | ||||
\(866\) | −232.491 | + | 12.6053i | −0.268466 | + | 0.0145558i | ||||
\(867\) | 96.0501 | − | 44.4375i | 0.110784 | − | 0.0512544i | ||||
\(868\) | −43.9398 | + | 404.019i | −0.0506218 | + | 0.465460i | ||||
\(869\) | 207.675 | − | 616.357i | 0.238981 | − | 0.709272i | ||||
\(870\) | 168.142 | − | 27.5654i | 0.193266 | − | 0.0316844i | ||||
\(871\) | −461.971 | − | 437.602i | −0.530391 | − | 0.502413i | ||||
\(872\) | 28.0414 | + | 100.996i | 0.0321576 | + | 0.115821i | ||||
\(873\) | 360.099 | − | 190.913i | 0.412485 | − | 0.218686i | ||||
\(874\) | 375.772 | − | 126.612i | 0.429945 | − | 0.144865i | ||||
\(875\) | −626.836 | + | 137.977i | −0.716384 | + | 0.157688i | ||||
\(876\) | 194.219 | + | 53.9247i | 0.221711 | + | 0.0615579i | ||||
\(877\) | −96.1462 | + | 57.8493i | −0.109631 | + | 0.0659627i | −0.569313 | − | 0.822121i | \(-0.692791\pi\) |
0.459682 | + | 0.888083i | \(0.347963\pi\) | |||||||
\(878\) | −115.352 | − | 1060.64i | −0.131380 | − | 1.20802i | ||||
\(879\) | −401.054 | − | 88.2787i | −0.456262 | − | 0.100431i | ||||
\(880\) | 113.199 | + | 60.0144i | 0.128635 | + | 0.0681982i | ||||
\(881\) | −1151.77 | − | 188.823i | −1.30734 | − | 0.214328i | −0.532471 | − | 0.846448i | \(-0.678736\pi\) |
−0.774870 | + | 0.632121i | \(0.782185\pi\) | |||||||
\(882\) | 46.7051 | + | 61.4395i | 0.0529536 | + | 0.0696593i | ||||
\(883\) | 803.812 | + | 946.320i | 0.910319 | + | 1.07171i | 0.997147 | + | 0.0754868i | \(0.0240511\pi\) |
−0.0868280 | + | 0.996223i | \(0.527673\pi\) | |||||||
\(884\) | 368.456i | 0.416806i | ||||||||
\(885\) | 141.170 | − | 524.390i | 0.159514 | − | 0.592532i | ||||
\(886\) | 38.5673 | 0.0435297 | ||||||||
\(887\) | 298.197 | − | 253.290i | 0.336185 | − | 0.285559i | −0.463352 | − | 0.886174i | \(-0.653354\pi\) |
0.799538 | + | 0.600616i | \(0.205078\pi\) | |||||||
\(888\) | 281.636 | − | 214.094i | 0.317157 | − | 0.241097i | ||||
\(889\) | 60.9198 | − | 371.594i | 0.0685262 | − | 0.417991i | ||||
\(890\) | 158.879 | − | 299.678i | 0.178516 | − | 0.336717i | ||||
\(891\) | −11.6616 | + | 52.9790i | −0.0130882 | + | 0.0594602i | ||||
\(892\) | −654.967 | + | 71.2319i | −0.734268 | + | 0.0798564i | ||||
\(893\) | 84.6565 | + | 140.700i | 0.0948001 | + | 0.157559i | ||||
\(894\) | −104.205 | + | 375.314i | −0.116561 | + | 0.419815i | ||||
\(895\) | −78.6913 | − | 357.498i | −0.0879232 | − | 0.399439i | ||||
\(896\) | −20.0515 | − | 59.5108i | −0.0223789 | − | 0.0664183i | ||||
\(897\) | −254.528 | − | 480.090i | −0.283755 | − | 0.535218i | ||||
\(898\) | 910.593 | − | 252.825i | 1.01402 | − | 0.281542i | ||||
\(899\) | −329.539 | + | 347.890i | −0.366561 | + | 0.386974i | ||||
\(900\) | 3.14541 | + | 19.1862i | 0.00349490 | + | 0.0213180i | ||||
\(901\) | −245.814 | − | 82.8242i | −0.272823 | − | 0.0919248i | ||||
\(902\) | −378.419 | − | 41.1556i | −0.419534 | − | 0.0456270i | ||||
\(903\) | 315.647 | + | 682.259i | 0.349553 | + | 0.755547i | ||||
\(904\) | −21.5639 | − | 397.723i | −0.0238539 | − | 0.439959i | ||||
\(905\) | 128.959 | + | 98.0324i | 0.142497 | + | 0.108323i | ||||
\(906\) | −161.766 | + | 153.233i | −0.178550 | + | 0.169132i | ||||
\(907\) | −351.893 | − | 211.727i | −0.387975 | − | 0.233437i | 0.308181 | − | 0.951328i | \(-0.400280\pi\) |
−0.696155 | + | 0.717891i | \(0.745107\pi\) | |||||||
\(908\) | −60.9241 | + | 131.685i | −0.0670971 | + | 0.145028i | ||||
\(909\) | −114.378 | − | 45.5725i | −0.125829 | − | 0.0501348i | ||||
\(910\) | 230.493 | + | 339.952i | 0.253289 | + | 0.373574i | ||||
\(911\) | −867.736 | + | 1279.81i | −0.952509 | + | 1.40485i | −0.0384521 | + | 0.999260i | \(0.512243\pi\) |
−0.914057 | + | 0.405586i | \(0.867068\pi\) | |||||||
\(912\) | −22.5659 | − | 56.6362i | −0.0247433 | − | 0.0621011i | ||||
\(913\) | 5.82340 | − | 107.406i | 0.00637832 | − | 0.117641i | ||||
\(914\) | 28.4383 | − | 33.4802i | 0.0311142 | − | 0.0366304i | ||||
\(915\) | −261.551 | − | 222.163i | −0.285848 | − | 0.242801i | ||||
\(916\) | 434.563 | + | 23.5613i | 0.474413 | + | 0.0257219i | ||||
\(917\) | −320.337 | + | 127.634i | −0.349332 | + | 0.139187i | ||||
\(918\) | 113.805 | + | 77.1617i | 0.123971 | + | 0.0840541i | ||||
\(919\) | −429.265 | + | 291.049i | −0.467101 | + | 0.316702i | −0.771933 | − | 0.635704i | \(-0.780710\pi\) |
0.304832 | + | 0.952406i | \(0.401400\pi\) | |||||||
\(920\) | −177.270 | + | 444.914i | −0.192685 | + | 0.483603i | ||||
\(921\) | 209.205 | + | 96.7884i | 0.227149 | + | 0.105091i | ||||
\(922\) | −478.668 | + | 795.553i | −0.519163 | + | 0.862855i | ||||
\(923\) | 271.568 | + | 286.691i | 0.294224 | + | 0.310608i | ||||
\(924\) | 70.1371 | − | 92.2638i | 0.0759060 | − | 0.0998526i | ||||
\(925\) | 233.656 | − | 12.6684i | 0.252601 | − | 0.0136956i | ||||
\(926\) | 655.888 | − | 303.446i | 0.708302 | − | 0.327696i | ||||
\(927\) | −29.8681 | + | 274.633i | −0.0322202 | + | 0.296260i | ||||
\(928\) | 23.6428 | − | 70.1694i | 0.0254772 | − | 0.0756136i | ||||
\(929\) | 1133.94 | − | 185.901i | 1.22061 | − | 0.200108i | 0.483172 | − | 0.875526i | \(-0.339485\pi\) |
0.737436 | + | 0.675417i | \(0.236036\pi\) | |||||||
\(930\) | −345.962 | − | 327.713i | −0.372003 | − | 0.352380i | ||||
\(931\) | −42.8238 | − | 154.238i | −0.0459977 | − | 0.165669i | ||||
\(932\) | −515.968 | + | 273.549i | −0.553614 | + | 0.293508i | ||||
\(933\) | 264.183 | − | 89.0136i | 0.283154 | − | 0.0954058i | ||||
\(934\) | 951.743 | − | 209.494i | 1.01900 | − | 0.224298i | ||||
\(935\) | 577.487 | + | 160.339i | 0.617633 | + | 0.171485i | ||||
\(936\) | −71.5869 | + | 43.0724i | −0.0764817 | + | 0.0460175i | ||||
\(937\) | −162.199 | − | 1491.39i | −0.173104 | − | 1.59167i | −0.682336 | − | 0.731039i | \(-0.739036\pi\) |
0.509231 | − | 0.860630i | \(-0.329930\pi\) | |||||||
\(938\) | 495.455 | + | 109.058i | 0.528203 | + | 0.116266i | ||||
\(939\) | 227.215 | + | 120.462i | 0.241975 | + | 0.128287i | ||||
\(940\) | −195.715 | − | 32.0858i | −0.208207 | − | 0.0341339i | ||||
\(941\) | 126.792 | + | 166.792i | 0.134742 | + | 0.177250i | 0.858516 | − | 0.512787i | \(-0.171387\pi\) |
−0.723774 | + | 0.690038i | \(0.757594\pi\) | |||||||
\(942\) | −101.202 | − | 119.145i | −0.107433 | − | 0.126480i | ||||
\(943\) | − | 1422.88i | − | 1.50888i | ||||||
\(944\) | −172.604 | − | 160.946i | −0.182843 | − | 0.170494i | ||||
\(945\) | 153.271 | 0.162191 | ||||||||
\(946\) | −507.998 | + | 431.498i | −0.536996 | + | 0.456129i | ||||
\(947\) | 1005.73 | − | 764.537i | 1.06202 | − | 0.807326i | 0.0801300 | − | 0.996784i | \(-0.474466\pi\) |
0.981889 | + | 0.189459i | \(0.0606734\pi\) | |||||||
\(948\) | 60.4739 | − | 368.875i | 0.0637911 | − | 0.389108i | ||||
\(949\) | −268.356 | + | 506.172i | −0.282777 | + | 0.533374i | ||||
\(950\) | 8.66878 | − | 39.3827i | 0.00912503 | − | 0.0414554i | ||||
\(951\) | −973.286 | + | 105.851i | −1.02343 | + | 0.111305i | ||||
\(952\) | −151.446 | − | 251.705i | −0.159082 | − | 0.264396i | ||||
\(953\) | 452.210 | − | 1628.71i | 0.474512 | − | 1.70904i | −0.207968 | − | 0.978136i | \(-0.566685\pi\) |
0.682481 | − | 0.730904i | \(-0.260901\pi\) | |||||||
\(954\) | −12.6437 | − | 57.4409i | −0.0132534 | − | 0.0602106i | ||||
\(955\) | 267.878 | + | 795.033i | 0.280500 | + | 0.832495i | ||||
\(956\) | −57.0196 | − | 107.550i | −0.0596439 | − | 0.112500i | ||||
\(957\) | 131.672 | − | 36.5586i | 0.137588 | − | 0.0382013i | ||||
\(958\) | −332.304 | + | 350.809i | −0.346873 | + | 0.366189i | ||||
\(959\) | −188.712 | − | 1151.09i | −0.196780 | − | 1.20030i | ||||
\(960\) | 69.7807 | + | 23.5119i | 0.0726882 | + | 0.0244915i | ||||
\(961\) | 376.973 | + | 40.9982i | 0.392271 | + | 0.0426621i | ||||
\(962\) | 422.208 | + | 912.587i | 0.438885 | + | 0.948635i | ||||
\(963\) | −23.6047 | − | 435.364i | −0.0245117 | − | 0.452091i | ||||
\(964\) | 658.673 | + | 500.710i | 0.683270 | + | 0.519409i | ||||
\(965\) | −460.447 | + | 436.158i | −0.477147 | + | 0.451978i | ||||
\(966\) | 371.208 | + | 223.348i | 0.384273 | + | 0.231209i | ||||
\(967\) | 444.670 | − | 961.138i | 0.459845 | − | 0.993938i | −0.529495 | − | 0.848313i | \(-0.677619\pi\) |
0.989340 | − | 0.145625i | \(-0.0465193\pi\) | |||||||
\(968\) | −222.473 | − | 88.6413i | −0.229827 | − | 0.0915716i | ||||
\(969\) | −160.042 | − | 236.044i | −0.165162 | − | 0.243596i | ||||
\(970\) | 572.989 | − | 845.096i | 0.590711 | − | 0.871233i | ||||
\(971\) | 591.302 | + | 1484.06i | 0.608962 | + | 1.52838i | 0.832697 | + | 0.553729i | \(0.186795\pi\) |
−0.223736 | + | 0.974650i | \(0.571825\pi\) | |||||||
\(972\) | −1.68788 | + | 31.1312i | −0.00173651 | + | 0.0320280i | ||||
\(973\) | 630.362 | − | 742.120i | 0.647854 | − | 0.762713i | ||||
\(974\) | 780.029 | + | 662.562i | 0.800851 | + | 0.680249i | ||||
\(975\) | −55.1795 | − | 2.99175i | −0.0565944 | − | 0.00306846i | ||||
\(976\) | −138.541 | + | 55.1997i | −0.141947 | + | 0.0565570i | ||||
\(977\) | 794.493 | + | 538.679i | 0.813196 | + | 0.551361i | 0.895404 | − | 0.445254i | \(-0.146887\pi\) |
−0.0822078 | + | 0.996615i | \(0.526197\pi\) | |||||||
\(978\) | 20.7176 | − | 14.0469i | 0.0211837 | − | 0.0143629i | ||||
\(979\) | 100.691 | − | 252.716i | 0.102851 | − | 0.258137i | ||||
\(980\) | 175.467 | + | 81.1797i | 0.179048 | + | 0.0828364i | ||||
\(981\) | −57.3166 | + | 95.2609i | −0.0584267 | + | 0.0971060i | ||||
\(982\) | 911.362 | + | 962.113i | 0.928067 | + | 0.979749i | ||||
\(983\) | 705.149 | − | 927.607i | 0.717344 | − | 0.943649i | −0.282534 | − | 0.959257i | \(-0.591175\pi\) |
0.999878 | + | 0.0156076i | \(0.00496827\pi\) | |||||||
\(984\) | −218.446 | + | 11.8438i | −0.221998 | + | 0.0120364i | ||||
\(985\) | −649.351 | + | 300.422i | −0.659240 | + | 0.304997i | ||||
\(986\) | 37.4488 | − | 344.336i | 0.0379805 | − | 0.349225i | ||||
\(987\) | −57.2824 | + | 170.008i | −0.0580369 | + | 0.172247i | ||||
\(988\) | 171.001 | − | 28.0341i | 0.173078 | − | 0.0283746i | ||||
\(989\) | −1808.80 | − | 1713.38i | −1.82891 | − | 1.73244i | ||||
\(990\) | 36.3561 | + | 130.943i | 0.0367233 | + | 0.132265i | ||||
\(991\) | −1333.95 | + | 707.213i | −1.34606 | + | 0.713636i | −0.976489 | − | 0.215567i | \(-0.930840\pi\) |
−0.369571 | + | 0.929203i | \(0.620495\pi\) | |||||||
\(992\) | −196.249 | + | 66.1241i | −0.197832 | + | 0.0666574i | ||||
\(993\) | 233.644 | − | 51.4289i | 0.235291 | − | 0.0517915i | ||||
\(994\) | −303.356 | − | 84.2264i | −0.305187 | − | 0.0847348i | ||||
\(995\) | −1757.85 | + | 1057.66i | −1.76669 | + | 1.06298i | ||||
\(996\) | −6.68382 | − | 61.4567i | −0.00671066 | − | 0.0617035i | ||||
\(997\) | 182.746 | + | 40.2254i | 0.183296 | + | 0.0403464i | 0.305670 | − | 0.952138i | \(-0.401120\pi\) |
−0.122374 | + | 0.992484i | \(0.539051\pi\) | |||||||
\(998\) | −358.535 | − | 190.083i | −0.359254 | − | 0.190464i | ||||
\(999\) | 370.289 | + | 60.7058i | 0.370660 | + | 0.0607665i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 354.3.f.a.13.19 | ✓ | 560 | |
59.50 | odd | 58 | inner | 354.3.f.a.109.19 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.f.a.13.19 | ✓ | 560 | 1.1 | even | 1 | trivial | |
354.3.f.a.109.19 | yes | 560 | 59.50 | odd | 58 | inner |