Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(81,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.j (of order \(6\), degree \(2\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 81.3 | ||
Character | \(\chi\) | \(=\) | 287.81 |
Dual form | 287.2.j.a.163.3 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.10471 | − | 1.91341i | −0.781145 | − | 1.35298i | −0.931275 | − | 0.364317i | \(-0.881303\pi\) |
0.150130 | − | 0.988666i | \(-0.452031\pi\) | |||||||
\(3\) | −2.73490 | − | 1.57900i | −1.57900 | − | 0.911634i | −0.995000 | − | 0.0998768i | \(-0.968155\pi\) |
−0.583996 | − | 0.811757i | \(-0.698512\pi\) | |||||||
\(4\) | −1.44075 | + | 2.49545i | −0.720375 | + | 1.24773i | ||||
\(5\) | 1.43765 | + | 2.49009i | 0.642937 | + | 1.11360i | 0.984774 | + | 0.173841i | \(0.0556178\pi\) |
−0.341836 | + | 0.939759i | \(0.611049\pi\) | |||||||
\(6\) | 6.97730i | 2.84847i | ||||||||
\(7\) | 2.25170 | − | 1.38919i | 0.851061 | − | 0.525066i | ||||
\(8\) | 1.94760 | 0.688580 | ||||||||
\(9\) | 3.48645 | + | 6.03872i | 1.16215 | + | 2.01291i | ||||
\(10\) | 3.17637 | − | 5.50163i | 1.00445 | − | 1.73977i | ||||
\(11\) | 2.54549 | + | 1.46964i | 0.767493 | + | 0.443112i | 0.831980 | − | 0.554806i | \(-0.187208\pi\) |
−0.0644864 | + | 0.997919i | \(0.520541\pi\) | |||||||
\(12\) | 7.88062 | − | 4.54988i | 2.27494 | − | 1.31344i | ||||
\(13\) | 2.13267i | 0.591497i | 0.955266 | + | 0.295749i | \(0.0955691\pi\) | ||||
−0.955266 | + | 0.295749i | \(0.904431\pi\) | |||||||
\(14\) | −5.14556 | − | 2.77376i | −1.37521 | − | 0.741319i | ||||
\(15\) | − | 9.08018i | − | 2.34449i | ||||||
\(16\) | 0.729976 | + | 1.26436i | 0.182494 | + | 0.316089i | ||||
\(17\) | −0.886674 | − | 0.511922i | −0.215050 | − | 0.124159i | 0.388606 | − | 0.921404i | \(-0.372957\pi\) |
−0.603656 | + | 0.797245i | \(0.706290\pi\) | |||||||
\(18\) | 7.70301 | − | 13.3420i | 1.81562 | − | 3.14474i | ||||
\(19\) | −2.94895 | + | 1.70257i | −0.676534 | + | 0.390597i | −0.798548 | − | 0.601931i | \(-0.794398\pi\) |
0.122014 | + | 0.992528i | \(0.461065\pi\) | |||||||
\(20\) | −8.28519 | −1.85263 | ||||||||
\(21\) | −8.35170 | + | 0.243889i | −1.82249 | + | 0.0532210i | ||||
\(22\) | − | 6.49407i | − | 1.38454i | ||||||
\(23\) | 2.74844 | + | 4.76043i | 0.573089 | + | 0.992618i | 0.996246 | + | 0.0865625i | \(0.0275882\pi\) |
−0.423158 | + | 0.906056i | \(0.639078\pi\) | |||||||
\(24\) | −5.32649 | − | 3.07525i | −1.08727 | − | 0.627733i | ||||
\(25\) | −1.63369 | + | 2.82963i | −0.326737 | + | 0.565925i | ||||
\(26\) | 4.08067 | − | 2.35598i | 0.800286 | − | 0.462045i | ||||
\(27\) | − | 12.5464i | − | 2.41456i | ||||||
\(28\) | 0.222536 | + | 7.62049i | 0.0420554 | + | 1.44014i | ||||
\(29\) | 4.32591i | 0.803301i | 0.915793 | + | 0.401650i | \(0.131563\pi\) | ||||
−0.915793 | + | 0.401650i | \(0.868437\pi\) | |||||||
\(30\) | −17.3741 | + | 10.0309i | −3.17206 | + | 1.83139i | ||||
\(31\) | 3.84405 | − | 6.65810i | 0.690413 | − | 1.19583i | −0.281290 | − | 0.959623i | \(-0.590762\pi\) |
0.971703 | − | 0.236207i | \(-0.0759043\pi\) | |||||||
\(32\) | 3.56042 | − | 6.16683i | 0.629399 | − | 1.09015i | ||||
\(33\) | −4.64110 | − | 8.03863i | −0.807912 | − | 1.39935i | ||||
\(34\) | 2.26209i | 0.387945i | ||||||||
\(35\) | 6.69637 | + | 3.60974i | 1.13189 | + | 0.610158i | ||||
\(36\) | −20.0924 | −3.34874 | ||||||||
\(37\) | −3.04087 | − | 5.26693i | −0.499915 | − | 0.865878i | 0.500085 | − | 0.865976i | \(-0.333302\pi\) |
−1.00000 | 9.79796e-5i | \(0.999969\pi\) | ||||||||
\(38\) | 6.51544 | + | 3.76169i | 1.05694 | + | 0.610226i | ||||
\(39\) | 3.36748 | − | 5.83265i | 0.539229 | − | 0.933972i | ||||
\(40\) | 2.79997 | + | 4.84969i | 0.442714 | + | 0.766803i | ||||
\(41\) | −3.85347 | + | 5.11379i | −0.601810 | + | 0.798639i | ||||
\(42\) | 9.69283 | + | 15.7108i | 1.49564 | + | 2.42422i | ||||
\(43\) | 10.5726 | 1.61231 | 0.806153 | − | 0.591707i | \(-0.201546\pi\) | ||||
0.806153 | + | 0.591707i | \(0.201546\pi\) | |||||||
\(44\) | −7.33482 | + | 4.23476i | −1.10577 | + | 0.638415i | ||||
\(45\) | −10.0246 | + | 17.3631i | −1.49438 | + | 2.58834i | ||||
\(46\) | 6.07243 | − | 10.5178i | 0.895331 | − | 1.55076i | ||||
\(47\) | 2.25619 | − | 1.30261i | 0.329100 | − | 0.190006i | −0.326342 | − | 0.945252i | \(-0.605816\pi\) |
0.655441 | + | 0.755246i | \(0.272483\pi\) | |||||||
\(48\) | − | 4.61052i | − | 0.665471i | ||||||
\(49\) | 3.14028 | − | 6.25609i | 0.448611 | − | 0.893727i | ||||
\(50\) | 7.21897 | 1.02092 | ||||||||
\(51\) | 1.61664 | + | 2.80011i | 0.226375 | + | 0.392094i | ||||
\(52\) | −5.32199 | − | 3.07265i | −0.738027 | − | 0.426100i | ||||
\(53\) | 10.2306 | + | 5.90663i | 1.40528 | + | 0.811338i | 0.994928 | − | 0.100590i | \(-0.0320731\pi\) |
0.410350 | + | 0.911928i | \(0.365406\pi\) | |||||||
\(54\) | −24.0064 | + | 13.8601i | −3.26686 | + | 1.88612i | ||||
\(55\) | 8.45131i | 1.13957i | ||||||||
\(56\) | 4.38540 | − | 2.70559i | 0.586024 | − | 0.361550i | ||||
\(57\) | 10.7534 | 1.42433 | ||||||||
\(58\) | 8.27722 | − | 4.77886i | 1.08685 | − | 0.627495i | ||||
\(59\) | −2.83564 | + | 4.91147i | −0.369169 | + | 0.639419i | −0.989436 | − | 0.144972i | \(-0.953691\pi\) |
0.620267 | + | 0.784391i | \(0.287024\pi\) | |||||||
\(60\) | 22.6592 | + | 13.0823i | 2.92529 | + | 1.68892i | ||||
\(61\) | 5.00641 | + | 8.67135i | 0.641005 | + | 1.11025i | 0.985209 | + | 0.171358i | \(0.0548154\pi\) |
−0.344204 | + | 0.938895i | \(0.611851\pi\) | |||||||
\(62\) | −16.9862 | −2.15725 | ||||||||
\(63\) | 16.2394 | + | 8.75399i | 2.04597 | + | 1.10290i | ||||
\(64\) | −12.8130 | −1.60162 | ||||||||
\(65\) | −5.31054 | + | 3.06604i | −0.658692 | + | 0.380296i | ||||
\(66\) | −10.2541 | + | 17.7606i | −1.26219 | + | 2.18618i | ||||
\(67\) | −11.5410 | − | 6.66321i | −1.40996 | − | 0.814041i | −0.414576 | − | 0.910014i | \(-0.636070\pi\) |
−0.995384 | + | 0.0959735i | \(0.969404\pi\) | |||||||
\(68\) | 2.55495 | − | 1.47510i | 0.309834 | − | 0.178882i | ||||
\(69\) | − | 17.3591i | − | 2.08979i | ||||||
\(70\) | −0.490617 | − | 16.8006i | −0.0586399 | − | 2.00805i | ||||
\(71\) | 2.42629i | 0.287948i | 0.989581 | + | 0.143974i | \(0.0459881\pi\) | ||||
−0.989581 | + | 0.143974i | \(0.954012\pi\) | |||||||
\(72\) | 6.79022 | + | 11.7610i | 0.800235 | + | 1.38605i | ||||
\(73\) | 1.97465 | − | 3.42019i | 0.231115 | − | 0.400302i | −0.727022 | − | 0.686614i | \(-0.759096\pi\) |
0.958136 | + | 0.286312i | \(0.0924294\pi\) | |||||||
\(74\) | −6.71852 | + | 11.6368i | −0.781013 | + | 1.35275i | ||||
\(75\) | 8.93593 | − | 5.15916i | 1.03183 | − | 0.595729i | ||||
\(76\) | − | 9.81194i | − | 1.12551i | ||||||
\(77\) | 7.77328 | − | 0.226998i | 0.885847 | − | 0.0258688i | ||||
\(78\) | −14.8803 | −1.68486 | ||||||||
\(79\) | 12.0558 | − | 6.96040i | 1.35638 | − | 0.783107i | 0.367247 | − | 0.930124i | \(-0.380301\pi\) |
0.989134 | + | 0.147017i | \(0.0469672\pi\) | |||||||
\(80\) | −2.09890 | + | 3.63541i | −0.234665 | + | 0.406451i | ||||
\(81\) | −9.35136 | + | 16.1970i | −1.03904 | + | 1.79967i | ||||
\(82\) | 14.0417 | + | 1.72402i | 1.55065 | + | 0.190386i | ||||
\(83\) | −13.4903 | −1.48075 | −0.740376 | − | 0.672192i | \(-0.765353\pi\) | ||||
−0.740376 | + | 0.672192i | \(0.765353\pi\) | |||||||
\(84\) | 11.4241 | − | 21.1927i | 1.24647 | − | 2.31231i | ||||
\(85\) | − | 2.94386i | − | 0.319306i | ||||||
\(86\) | −11.6796 | − | 20.2297i | −1.25945 | − | 2.18142i | ||||
\(87\) | 6.83059 | − | 11.8309i | 0.732316 | − | 1.26841i | ||||
\(88\) | 4.95759 | + | 2.86227i | 0.528481 | + | 0.305119i | ||||
\(89\) | −3.44128 | + | 1.98683i | −0.364775 | + | 0.210603i | −0.671174 | − | 0.741300i | \(-0.734209\pi\) |
0.306398 | + | 0.951903i | \(0.400876\pi\) | |||||||
\(90\) | 44.2970 | 4.66931 | ||||||||
\(91\) | 2.96270 | + | 4.80214i | 0.310575 | + | 0.503401i | ||||
\(92\) | −15.8392 | −1.65136 | ||||||||
\(93\) | −21.0262 | + | 12.1395i | −2.18032 | + | 1.25881i | ||||
\(94\) | −4.98486 | − | 2.87801i | −0.514149 | − | 0.296844i | ||||
\(95\) | −8.47911 | − | 4.89542i | −0.869939 | − | 0.502259i | ||||
\(96\) | −19.4748 | + | 11.2438i | −1.98764 | + | 1.14756i | ||||
\(97\) | 5.94516i | 0.603639i | 0.953365 | + | 0.301820i | \(0.0975940\pi\) | ||||
−0.953365 | + | 0.301820i | \(0.902406\pi\) | |||||||
\(98\) | −15.4395 | + | 0.902512i | −1.55963 | + | 0.0911674i | ||||
\(99\) | 20.4953i | 2.05985i | ||||||||
\(100\) | −4.70747 | − | 8.15357i | −0.470747 | − | 0.815357i | ||||
\(101\) | 3.34762 | + | 1.93275i | 0.333101 | + | 0.192316i | 0.657217 | − | 0.753702i | \(-0.271734\pi\) |
−0.324116 | + | 0.946017i | \(0.605067\pi\) | |||||||
\(102\) | 3.57183 | − | 6.18660i | 0.353664 | − | 0.612564i | ||||
\(103\) | −0.270123 | − | 0.467866i | −0.0266160 | − | 0.0461002i | 0.852411 | − | 0.522873i | \(-0.175140\pi\) |
−0.879027 | + | 0.476773i | \(0.841806\pi\) | |||||||
\(104\) | 4.15360i | 0.407294i | ||||||||
\(105\) | −12.6141 | − | 20.4458i | −1.23101 | − | 1.99531i | ||||
\(106\) | − | 26.1004i | − | 2.53509i | ||||||
\(107\) | 8.12054 | + | 14.0652i | 0.785042 | + | 1.35973i | 0.928974 | + | 0.370145i | \(0.120692\pi\) |
−0.143932 | + | 0.989588i | \(0.545975\pi\) | |||||||
\(108\) | 31.3090 | + | 18.0762i | 3.01271 | + | 1.73939i | ||||
\(109\) | −1.88797 | − | 1.09002i | −0.180835 | − | 0.104405i | 0.406850 | − | 0.913495i | \(-0.366627\pi\) |
−0.587685 | + | 0.809090i | \(0.699960\pi\) | |||||||
\(110\) | 16.1708 | − | 9.33621i | 1.54182 | − | 0.890173i | ||||
\(111\) | 19.2061i | 1.82296i | ||||||||
\(112\) | 3.40012 | + | 1.83287i | 0.321281 | + | 0.173190i | ||||
\(113\) | 1.99459 | 0.187635 | 0.0938177 | − | 0.995589i | \(-0.470093\pi\) | ||||
0.0938177 | + | 0.995589i | \(0.470093\pi\) | |||||||
\(114\) | −11.8794 | − | 20.5757i | −1.11261 | − | 1.92709i | ||||
\(115\) | −7.90259 | + | 13.6877i | −0.736920 | + | 1.27638i | ||||
\(116\) | −10.7951 | − | 6.23255i | −1.00230 | − | 0.578678i | ||||
\(117\) | −12.8786 | + | 7.43547i | −1.19063 | + | 0.687410i | ||||
\(118\) | 12.5302 | 1.15350 | ||||||||
\(119\) | −2.70768 | + | 0.0790707i | −0.248213 | + | 0.00724840i | ||||
\(120\) | − | 17.6846i | − | 1.61437i | ||||||
\(121\) | −1.18033 | − | 2.04439i | −0.107303 | − | 0.185854i | ||||
\(122\) | 11.0612 | − | 19.1586i | 1.00144 | − | 1.73454i | ||||
\(123\) | 18.6135 | − | 7.90109i | 1.67832 | − | 0.712417i | ||||
\(124\) | 11.0766 | + | 19.1853i | 0.994712 | + | 1.72289i | ||||
\(125\) | 4.98184 | 0.445589 | ||||||||
\(126\) | −1.18980 | − | 40.7431i | −0.105996 | − | 3.62969i | ||||
\(127\) | −9.76094 | −0.866144 | −0.433072 | − | 0.901359i | \(-0.642570\pi\) | ||||
−0.433072 | + | 0.901359i | \(0.642570\pi\) | |||||||
\(128\) | 7.03371 | + | 12.1827i | 0.621698 | + | 1.07681i | ||||
\(129\) | −28.9150 | − | 16.6941i | −2.54582 | − | 1.46983i | ||||
\(130\) | 11.7332 | + | 6.77415i | 1.02907 | + | 0.594133i | ||||
\(131\) | −6.15800 | − | 10.6660i | −0.538027 | − | 0.931890i | −0.999010 | − | 0.0444815i | \(-0.985836\pi\) |
0.460983 | − | 0.887409i | \(-0.347497\pi\) | |||||||
\(132\) | 26.7467 | 2.32800 | ||||||||
\(133\) | −4.27492 | + | 7.93034i | −0.370683 | + | 0.687648i | ||||
\(134\) | 29.4436i | 2.54354i | ||||||||
\(135\) | 31.2416 | − | 18.0374i | 2.68885 | − | 1.55241i | ||||
\(136\) | −1.72689 | − | 0.997018i | −0.148079 | − | 0.0854936i | ||||
\(137\) | −3.03985 | − | 1.75506i | −0.259712 | − | 0.149945i | 0.364491 | − | 0.931207i | \(-0.381243\pi\) |
−0.624203 | + | 0.781262i | \(0.714576\pi\) | |||||||
\(138\) | −33.2150 | + | 19.1767i | −2.82745 | + | 1.63243i | ||||
\(139\) | −3.61764 | −0.306844 | −0.153422 | − | 0.988161i | \(-0.549029\pi\) | ||||
−0.153422 | + | 0.988161i | \(0.549029\pi\) | |||||||
\(140\) | −18.6557 | + | 11.5097i | −1.57670 | + | 0.972751i | ||||
\(141\) | −8.22729 | −0.692863 | ||||||||
\(142\) | 4.64248 | − | 2.68034i | 0.389588 | − | 0.224929i | ||||
\(143\) | −3.13426 | + | 5.42870i | −0.262100 | + | 0.453970i | ||||
\(144\) | −5.09006 | + | 8.81624i | −0.424171 | + | 0.734687i | ||||
\(145\) | −10.7719 | + | 6.21915i | −0.894556 | + | 0.516472i | ||||
\(146\) | −8.72561 | −0.722137 | ||||||||
\(147\) | −18.4667 | + | 12.1513i | −1.52311 | + | 1.00222i | ||||
\(148\) | 17.5245 | 1.44051 | ||||||||
\(149\) | 20.2345 | − | 11.6824i | 1.65768 | − | 0.957060i | 0.683893 | − | 0.729582i | \(-0.260285\pi\) |
0.973783 | − | 0.227478i | \(-0.0730479\pi\) | |||||||
\(150\) | −19.7432 | − | 11.3987i | −1.61202 | − | 0.930701i | ||||
\(151\) | 1.65360 | + | 0.954704i | 0.134568 | + | 0.0776927i | 0.565773 | − | 0.824561i | \(-0.308578\pi\) |
−0.431205 | + | 0.902254i | \(0.641911\pi\) | |||||||
\(152\) | −5.74337 | + | 3.31593i | −0.465848 | + | 0.268958i | ||||
\(153\) | − | 7.13916i | − | 0.577167i | ||||||
\(154\) | −9.02153 | − | 14.6227i | −0.726975 | − | 1.17833i | ||||
\(155\) | 22.1056 | 1.77557 | ||||||||
\(156\) | 9.70341 | + | 16.8068i | 0.776894 | + | 1.34562i | ||||
\(157\) | −0.00682362 | − | 0.00393962i | −0.000544584 | − | 0.000314416i | 0.499728 | − | 0.866183i | \(-0.333433\pi\) |
−0.500272 | + | 0.865868i | \(0.666767\pi\) | |||||||
\(158\) | −26.6362 | − | 15.3784i | −2.11906 | − | 1.22344i | ||||
\(159\) | −18.6531 | − | 32.3081i | −1.47929 | − | 2.56220i | ||||
\(160\) | 20.4746 | 1.61866 | ||||||||
\(161\) | 12.8018 | + | 6.90093i | 1.00892 | + | 0.543870i | ||||
\(162\) | 41.3220 | 3.24656 | ||||||||
\(163\) | 3.11345 | + | 5.39265i | 0.243864 | + | 0.422385i | 0.961812 | − | 0.273712i | \(-0.0882516\pi\) |
−0.717948 | + | 0.696097i | \(0.754918\pi\) | |||||||
\(164\) | −7.20933 | − | 16.9838i | −0.562954 | − | 1.32621i | ||||
\(165\) | 13.3446 | − | 23.1135i | 1.03887 | − | 1.79938i | ||||
\(166\) | 14.9028 | + | 25.8124i | 1.15668 | + | 2.00343i | ||||
\(167\) | − | 17.5779i | − | 1.36022i | −0.733110 | − | 0.680110i | \(-0.761932\pi\) | ||
0.733110 | − | 0.680110i | \(-0.238068\pi\) | |||||||
\(168\) | −16.2658 | + | 0.474999i | −1.25493 | + | 0.0366470i | ||||
\(169\) | 8.45170 | 0.650131 | ||||||||
\(170\) | −5.63280 | + | 3.25210i | −0.432016 | + | 0.249425i | ||||
\(171\) | −20.5627 | − | 11.8719i | −1.57247 | − | 0.907867i | ||||
\(172\) | −15.2325 | + | 26.3834i | −1.16147 | + | 2.01172i | ||||
\(173\) | 0.476173 | + | 0.824756i | 0.0362027 | + | 0.0627050i | 0.883559 | − | 0.468320i | \(-0.155140\pi\) |
−0.847356 | + | 0.531025i | \(0.821807\pi\) | |||||||
\(174\) | −30.1832 | −2.28818 | ||||||||
\(175\) | 0.252337 | + | 8.64097i | 0.0190749 | + | 0.653196i | ||||
\(176\) | 4.29120i | 0.323462i | ||||||||
\(177\) | 15.5104 | − | 8.95492i | 1.16583 | − | 0.673093i | ||||
\(178\) | 7.60321 | + | 4.38972i | 0.569885 | + | 0.329023i | ||||
\(179\) | 4.60960 | + | 2.66135i | 0.344538 | + | 0.198919i | 0.662277 | − | 0.749259i | \(-0.269590\pi\) |
−0.317739 | + | 0.948178i | \(0.602924\pi\) | |||||||
\(180\) | −28.8859 | − | 50.0319i | −2.15303 | − | 3.72916i | ||||
\(181\) | 15.9743i | 1.18736i | 0.804702 | + | 0.593679i | \(0.202325\pi\) | ||||
−0.804702 | + | 0.593679i | \(0.797675\pi\) | |||||||
\(182\) | 5.91553 | − | 10.9738i | 0.438488 | − | 0.813432i | ||||
\(183\) | − | 31.6204i | − | 2.33745i | ||||||
\(184\) | 5.35285 | + | 9.27141i | 0.394618 | + | 0.683498i | ||||
\(185\) | 8.74341 | − | 15.1440i | 0.642828 | − | 1.11341i | ||||
\(186\) | 46.4556 | + | 26.8211i | 3.40629 | + | 1.96662i | ||||
\(187\) | −1.50468 | − | 2.60618i | −0.110033 | − | 0.190583i | ||||
\(188\) | 7.50697i | 0.547502i | ||||||||
\(189\) | −17.4294 | − | 28.2507i | −1.26780 | − | 2.05494i | ||||
\(190\) | 21.6320i | 1.56935i | ||||||||
\(191\) | 1.52734 | − | 0.881811i | 0.110515 | − | 0.0638056i | −0.443724 | − | 0.896164i | \(-0.646343\pi\) |
0.554238 | + | 0.832358i | \(0.313010\pi\) | |||||||
\(192\) | 35.0422 | + | 20.2316i | 2.52895 | + | 1.46009i | ||||
\(193\) | −2.25384 | − | 1.30125i | −0.162235 | − | 0.0936662i | 0.416684 | − | 0.909051i | \(-0.363192\pi\) |
−0.578919 | + | 0.815385i | \(0.696525\pi\) | |||||||
\(194\) | 11.3755 | − | 6.56765i | 0.816714 | − | 0.471530i | ||||
\(195\) | 19.3651 | 1.38676 | ||||||||
\(196\) | 11.0874 | + | 16.8499i | 0.791959 | + | 1.20356i | ||||
\(197\) | −23.1666 | −1.65055 | −0.825275 | − | 0.564731i | \(-0.808980\pi\) | ||||
−0.825275 | + | 0.564731i | \(0.808980\pi\) | |||||||
\(198\) | 39.2158 | − | 22.6413i | 2.78695 | − | 1.60905i | ||||
\(199\) | 6.87185 | + | 3.96746i | 0.487132 | + | 0.281246i | 0.723384 | − | 0.690446i | \(-0.242586\pi\) |
−0.236252 | + | 0.971692i | \(0.575919\pi\) | |||||||
\(200\) | −3.18176 | + | 5.51098i | −0.224985 | + | 0.389685i | ||||
\(201\) | 21.0424 | + | 36.4464i | 1.48421 | + | 2.57073i | ||||
\(202\) | − | 8.54048i | − | 0.600906i | ||||||
\(203\) | 6.00953 | + | 9.74063i | 0.421786 | + | 0.683658i | ||||
\(204\) | −9.31672 | −0.652301 | ||||||||
\(205\) | −18.2737 | − | 2.24362i | −1.27629 | − | 0.156701i | ||||
\(206\) | −0.596812 | + | 1.03371i | −0.0415819 | + | 0.0720219i | ||||
\(207\) | −19.1646 | + | 33.1940i | −1.33203 | + | 2.30715i | ||||
\(208\) | −2.69646 | + | 1.55680i | −0.186966 | + | 0.107945i | ||||
\(209\) | −10.0087 | −0.692314 | ||||||||
\(210\) | −25.1863 | + | 46.7226i | −1.73802 | + | 3.22417i | ||||
\(211\) | 5.99116i | 0.412448i | 0.978505 | + | 0.206224i | \(0.0661176\pi\) | ||||
−0.978505 | + | 0.206224i | \(0.933882\pi\) | |||||||
\(212\) | −29.4794 | + | 17.0200i | −2.02466 | + | 1.16894i | ||||
\(213\) | 3.83110 | − | 6.63566i | 0.262503 | − | 0.454668i | ||||
\(214\) | 17.9416 | − | 31.0758i | 1.22646 | − | 2.12430i | ||||
\(215\) | 15.1997 | + | 26.3267i | 1.03661 | + | 1.79546i | ||||
\(216\) | − | 24.4354i | − | 1.66262i | ||||||
\(217\) | −0.593747 | − | 20.3322i | −0.0403062 | − | 1.38024i | ||||
\(218\) | 4.81660i | 0.326221i | ||||||||
\(219\) | −10.8009 | + | 6.23591i | −0.729858 | + | 0.421384i | ||||
\(220\) | −21.0898 | − | 12.1762i | −1.42188 | − | 0.820921i | ||||
\(221\) | 1.09176 | − | 1.89099i | 0.0734399 | − | 0.127202i | ||||
\(222\) | 36.7490 | − | 21.2170i | 2.46643 | − | 1.42399i | ||||
\(223\) | −9.09095 | −0.608775 | −0.304388 | − | 0.952548i | \(-0.598452\pi\) | ||||
−0.304388 | + | 0.952548i | \(0.598452\pi\) | |||||||
\(224\) | −0.549937 | − | 18.8319i | −0.0367442 | − | 1.25826i | ||||
\(225\) | −22.7831 | −1.51887 | ||||||||
\(226\) | −2.20344 | − | 3.81647i | −0.146570 | − | 0.253867i | ||||
\(227\) | −1.29454 | − | 0.747405i | −0.0859218 | − | 0.0496070i | 0.456423 | − | 0.889763i | \(-0.349130\pi\) |
−0.542345 | + | 0.840156i | \(0.682464\pi\) | |||||||
\(228\) | −15.4930 | + | 26.8347i | −1.02605 | + | 1.77717i | ||||
\(229\) | −0.514989 | + | 0.297329i | −0.0340314 | + | 0.0196481i | −0.516919 | − | 0.856034i | \(-0.672921\pi\) |
0.482888 | + | 0.875682i | \(0.339588\pi\) | |||||||
\(230\) | 34.9201 | 2.30257 | ||||||||
\(231\) | −21.6176 | − | 11.6532i | −1.42233 | − | 0.766721i | ||||
\(232\) | 8.42514i | 0.553137i | ||||||||
\(233\) | −21.8397 | + | 12.6092i | −1.43077 | + | 0.826054i | −0.997179 | − | 0.0750566i | \(-0.976086\pi\) |
−0.433589 | + | 0.901111i | \(0.642753\pi\) | |||||||
\(234\) | 28.4542 | + | 16.4280i | 1.86011 | + | 1.07393i | ||||
\(235\) | 6.48724 | + | 3.74541i | 0.423181 | + | 0.244324i | ||||
\(236\) | −8.17090 | − | 14.1524i | −0.531880 | − | 0.921244i | ||||
\(237\) | −43.9618 | −2.85563 | ||||||||
\(238\) | 3.14249 | + | 5.09354i | 0.203697 | + | 0.330165i | ||||
\(239\) | − | 6.70493i | − | 0.433706i | −0.976204 | − | 0.216853i | \(-0.930421\pi\) | ||
0.976204 | − | 0.216853i | \(-0.0695792\pi\) | |||||||
\(240\) | 11.4806 | − | 6.62832i | 0.741069 | − | 0.427856i | ||||
\(241\) | 3.31197 | − | 5.73650i | 0.213343 | − | 0.369520i | −0.739416 | − | 0.673249i | \(-0.764898\pi\) |
0.952759 | + | 0.303729i | \(0.0982316\pi\) | |||||||
\(242\) | −2.60784 | + | 4.51690i | −0.167638 | + | 0.290358i | ||||
\(243\) | 18.5536 | − | 10.7119i | 1.19021 | − | 0.687169i | ||||
\(244\) | −28.8519 | −1.84706 | ||||||||
\(245\) | 20.0928 | − | 1.17452i | 1.28368 | − | 0.0750372i | ||||
\(246\) | −35.6804 | − | 26.8868i | −2.27490 | − | 1.71424i | ||||
\(247\) | −3.63104 | − | 6.28914i | −0.231037 | − | 0.400168i | ||||
\(248\) | 7.48668 | − | 12.9673i | 0.475405 | − | 0.823425i | ||||
\(249\) | 36.8946 | + | 21.3011i | 2.33810 | + | 1.34990i | ||||
\(250\) | −5.50346 | − | 9.53228i | −0.348070 | − | 0.602874i | ||||
\(251\) | −1.99866 | −0.126154 | −0.0630771 | − | 0.998009i | \(-0.520091\pi\) | ||||
−0.0630771 | + | 0.998009i | \(0.520091\pi\) | |||||||
\(252\) | −45.2421 | + | 27.9123i | −2.84998 | + | 1.75831i | ||||
\(253\) | 16.1568i | 1.01577i | ||||||||
\(254\) | 10.7830 | + | 18.6767i | 0.676584 | + | 1.17188i | ||||
\(255\) | −4.64834 | + | 8.05116i | −0.291090 | + | 0.504183i | ||||
\(256\) | 2.72741 | − | 4.72402i | 0.170463 | − | 0.295251i | ||||
\(257\) | 24.7666 | − | 14.2990i | 1.54490 | − | 0.891947i | 0.546379 | − | 0.837538i | \(-0.316006\pi\) |
0.998519 | − | 0.0544089i | \(-0.0173274\pi\) | |||||||
\(258\) | 73.7682i | 4.59261i | ||||||||
\(259\) | −14.1639 | − | 7.63518i | −0.880102 | − | 0.474427i | ||||
\(260\) | − | 17.6696i | − | 1.09582i | ||||||
\(261\) | −26.1229 | + | 15.0821i | −1.61697 | + | 0.933557i | ||||
\(262\) | −13.6056 | + | 23.5655i | −0.840555 | + | 1.45588i | ||||
\(263\) | −20.8115 | − | 12.0155i | −1.28329 | − | 0.740907i | −0.305841 | − | 0.952083i | \(-0.598938\pi\) |
−0.977448 | + | 0.211175i | \(0.932271\pi\) | |||||||
\(264\) | −9.03901 | − | 15.6560i | −0.556313 | − | 0.963562i | ||||
\(265\) | 33.9667i | 2.08656i | ||||||||
\(266\) | 19.8965 | − | 0.581025i | 1.21993 | − | 0.0356249i | ||||
\(267\) | 12.5488 | 0.767972 | ||||||||
\(268\) | 33.2555 | − | 19.2001i | 2.03140 | − | 1.17283i | ||||
\(269\) | 3.15030 | − | 5.45648i | 0.192077 | − | 0.332688i | −0.753861 | − | 0.657034i | \(-0.771811\pi\) |
0.945938 | + | 0.324346i | \(0.105144\pi\) | |||||||
\(270\) | −69.0256 | − | 39.8520i | −4.20077 | − | 2.42531i | ||||
\(271\) | −5.03328 | − | 8.71790i | −0.305750 | − | 0.529574i | 0.671678 | − | 0.740843i | \(-0.265574\pi\) |
−0.977428 | + | 0.211269i | \(0.932240\pi\) | |||||||
\(272\) | − | 1.49476i | − | 0.0906333i | ||||||
\(273\) | −0.520137 | − | 17.8115i | −0.0314801 | − | 1.07800i | ||||
\(274\) | 7.75530i | 0.468515i | ||||||||
\(275\) | −8.31705 | + | 4.80185i | −0.501537 | + | 0.289562i | ||||
\(276\) | 43.3188 | + | 25.0101i | 2.60748 | + | 1.50543i | ||||
\(277\) | −0.537742 | + | 0.931397i | −0.0323098 | + | 0.0559622i | −0.881728 | − | 0.471758i | \(-0.843620\pi\) |
0.849418 | + | 0.527720i | \(0.176953\pi\) | |||||||
\(278\) | 3.99643 | + | 6.92202i | 0.239690 | + | 0.415155i | ||||
\(279\) | 53.6085 | 3.20946 | ||||||||
\(280\) | 13.0418 | + | 7.03033i | 0.779399 | + | 0.420143i | ||||
\(281\) | 14.1906i | 0.846543i | 0.906003 | + | 0.423271i | \(0.139118\pi\) | ||||
−0.906003 | + | 0.423271i | \(0.860882\pi\) | |||||||
\(282\) | 9.08873 | + | 15.7421i | 0.541226 | + | 0.937431i | ||||
\(283\) | 0.283356 | − | 0.490786i | 0.0168437 | − | 0.0291742i | −0.857481 | − | 0.514516i | \(-0.827972\pi\) |
0.874324 | + | 0.485342i | \(0.161305\pi\) | |||||||
\(284\) | −6.05469 | − | 3.49568i | −0.359280 | − | 0.207430i | ||||
\(285\) | 15.4597 | + | 26.7770i | 0.915753 | + | 1.58613i | ||||
\(286\) | 13.8497 | 0.818952 | ||||||||
\(287\) | −1.57280 | + | 16.8679i | −0.0928392 | + | 0.995681i | ||||
\(288\) | 49.6529 | 2.92583 | ||||||||
\(289\) | −7.97587 | − | 13.8146i | −0.469169 | − | 0.812624i | ||||
\(290\) | 23.7995 | + | 13.7407i | 1.39756 | + | 0.806879i | ||||
\(291\) | 9.38738 | − | 16.2594i | 0.550298 | − | 0.953144i | ||||
\(292\) | 5.68994 | + | 9.85527i | 0.332979 | + | 0.576736i | ||||
\(293\) | − | 9.70009i | − | 0.566685i | −0.959019 | − | 0.283343i | \(-0.908557\pi\) | ||
0.959019 | − | 0.283343i | \(-0.0914434\pi\) | |||||||
\(294\) | 43.6506 | + | 21.9107i | 2.54576 | + | 1.27786i | ||||
\(295\) | −16.3066 | −0.949410 | ||||||||
\(296\) | −5.92239 | − | 10.2579i | −0.344232 | − | 0.596227i | ||||
\(297\) | 18.4387 | − | 31.9367i | 1.06992 | − | 1.85316i | ||||
\(298\) | −44.7064 | − | 25.8112i | −2.58977 | − | 1.49521i | ||||
\(299\) | −10.1524 | + | 5.86152i | −0.587131 | + | 0.338980i | ||||
\(300\) | 29.7323i | 1.71659i | ||||||||
\(301\) | 23.8063 | − | 14.6874i | 1.37217 | − | 0.846567i | ||||
\(302\) | − | 4.21867i | − | 0.242757i | ||||||
\(303\) | −6.10360 | − | 10.5718i | −0.350643 | − | 0.607331i | ||||
\(304\) | −4.30532 | − | 2.48568i | −0.246927 | − | 0.142563i | ||||
\(305\) | −14.3949 | + | 24.9328i | −0.824252 | + | 1.42765i | ||||
\(306\) | −13.6601 | + | 7.88668i | −0.780897 | + | 0.450851i | ||||
\(307\) | 5.47094 | 0.312243 | 0.156122 | − | 0.987738i | \(-0.450101\pi\) | ||||
0.156122 | + | 0.987738i | \(0.450101\pi\) | |||||||
\(308\) | −10.6329 | + | 19.7249i | −0.605865 | + | 1.12393i | ||||
\(309\) | 1.70609i | 0.0970560i | ||||||||
\(310\) | −24.4202 | − | 42.2971i | −1.38698 | − | 2.40231i | ||||
\(311\) | −11.9359 | − | 6.89121i | −0.676824 | − | 0.390765i | 0.121833 | − | 0.992551i | \(-0.461123\pi\) |
−0.798657 | + | 0.601786i | \(0.794456\pi\) | |||||||
\(312\) | 6.55851 | − | 11.3597i | 0.371303 | − | 0.643115i | ||||
\(313\) | 1.02222 | − | 0.590177i | 0.0577791 | − | 0.0333588i | −0.470832 | − | 0.882223i | \(-0.656046\pi\) |
0.528611 | + | 0.848864i | \(0.322713\pi\) | |||||||
\(314\) | 0.0174085i | 0.000982418i | ||||||||
\(315\) | 1.54839 | + | 53.0227i | 0.0872418 | + | 2.98749i | ||||
\(316\) | 40.1128i | 2.25652i | ||||||||
\(317\) | −15.3155 | + | 8.84240i | −0.860204 | + | 0.496639i | −0.864080 | − | 0.503354i | \(-0.832099\pi\) |
0.00387684 | + | 0.999992i | \(0.498766\pi\) | |||||||
\(318\) | −41.2123 | + | 71.3819i | −2.31107 | + | 4.00290i | ||||
\(319\) | −6.35752 | + | 11.0115i | −0.355953 | + | 0.616528i | ||||
\(320\) | −18.4206 | − | 31.9054i | −1.02974 | − | 1.78356i | ||||
\(321\) | − | 51.2892i | − | 2.86268i | ||||||
\(322\) | −0.937939 | − | 32.1186i | −0.0522693 | − | 1.78990i | ||||
\(323\) | 3.48634 | 0.193985 | ||||||||
\(324\) | −26.9460 | − | 46.6718i | −1.49700 | − | 2.59288i | ||||
\(325\) | −6.03467 | − | 3.48412i | −0.334743 | − | 0.193264i | ||||
\(326\) | 6.87889 | − | 11.9146i | 0.380986 | − | 0.659888i | ||||
\(327\) | 3.44227 | + | 5.96219i | 0.190358 | + | 0.329710i | ||||
\(328\) | −7.50501 | + | 9.95961i | −0.414395 | + | 0.549927i | ||||
\(329\) | 3.27068 | − | 6.06738i | 0.180318 | − | 0.334506i | ||||
\(330\) | −58.9673 | −3.24605 | ||||||||
\(331\) | −15.3075 | + | 8.83779i | −0.841377 | + | 0.485769i | −0.857732 | − | 0.514097i | \(-0.828127\pi\) |
0.0163554 | + | 0.999866i | \(0.494794\pi\) | |||||||
\(332\) | 19.4362 | − | 33.6644i | 1.06670 | − | 1.84757i | ||||
\(333\) | 21.2037 | − | 36.7258i | 1.16195 | − | 2.01256i | ||||
\(334\) | −33.6337 | + | 19.4184i | −1.84035 | + | 1.06253i | ||||
\(335\) | − | 38.3175i | − | 2.09351i | ||||||
\(336\) | −6.40491 | − | 10.3815i | −0.349416 | − | 0.566357i | ||||
\(337\) | −2.88084 | −0.156929 | −0.0784647 | − | 0.996917i | \(-0.525002\pi\) | ||||
−0.0784647 | + | 0.996917i | \(0.525002\pi\) | |||||||
\(338\) | −9.33664 | − | 16.1715i | −0.507846 | − | 0.879616i | ||||
\(339\) | −5.45501 | − | 3.14945i | −0.296275 | − | 0.171055i | ||||
\(340\) | 7.34627 | + | 4.24137i | 0.398407 | + | 0.230020i | ||||
\(341\) | 19.5700 | − | 11.2987i | 1.05977 | − | 0.611861i | ||||
\(342\) | 52.4598i | 2.83670i | ||||||||
\(343\) | −1.61997 | − | 18.4493i | −0.0874703 | − | 0.996167i | ||||
\(344\) | 20.5912 | 1.11020 | ||||||||
\(345\) | 43.2256 | − | 24.9563i | 2.32719 | − | 1.34360i | ||||
\(346\) | 1.05206 | − | 1.82222i | 0.0565592 | − | 0.0979634i | ||||
\(347\) | −3.73605 | − | 2.15701i | −0.200562 | − | 0.115794i | 0.396356 | − | 0.918097i | \(-0.370275\pi\) |
−0.596917 | + | 0.802303i | \(0.703608\pi\) | |||||||
\(348\) | 19.6824 | + | 34.0908i | 1.05508 | + | 1.82746i | ||||
\(349\) | 12.1937 | 0.652711 | 0.326356 | − | 0.945247i | \(-0.394179\pi\) | ||||
0.326356 | + | 0.945247i | \(0.394179\pi\) | |||||||
\(350\) | 16.2549 | − | 10.0285i | 0.868862 | − | 0.536048i | ||||
\(351\) | 26.7574 | 1.42820 | ||||||||
\(352\) | 18.1260 | − | 10.4650i | 0.966119 | − | 0.557789i | ||||
\(353\) | −4.89318 | + | 8.47524i | −0.260438 | + | 0.451092i | −0.966358 | − | 0.257199i | \(-0.917200\pi\) |
0.705920 | + | 0.708291i | \(0.250534\pi\) | |||||||
\(354\) | −34.2688 | − | 19.7851i | −1.82137 | − | 1.05157i | ||||
\(355\) | −6.04167 | + | 3.48816i | −0.320659 | + | 0.185132i | ||||
\(356\) | − | 11.4501i | − | 0.606853i | ||||||
\(357\) | 7.53009 | + | 4.05916i | 0.398535 | + | 0.214834i | ||||
\(358\) | − | 11.7601i | − | 0.621538i | ||||||
\(359\) | −14.5186 | − | 25.1470i | −0.766265 | − | 1.32721i | −0.939575 | − | 0.342342i | \(-0.888780\pi\) |
0.173311 | − | 0.984867i | \(-0.444554\pi\) | |||||||
\(360\) | −19.5239 | + | 33.8164i | −1.02900 | + | 1.78228i | ||||
\(361\) | −3.70248 | + | 6.41288i | −0.194867 | + | 0.337520i | ||||
\(362\) | 30.5653 | − | 17.6469i | 1.60648 | − | 0.927499i | ||||
\(363\) | 7.45494i | 0.391283i | ||||||||
\(364\) | −16.2520 | + | 0.474598i | −0.851837 | + | 0.0248757i | ||||
\(365\) | 11.3554 | 0.594369 | ||||||||
\(366\) | −60.5026 | + | 34.9312i | −3.16252 | + | 1.82588i | ||||
\(367\) | −13.8222 | + | 23.9408i | −0.721514 | + | 1.24970i | 0.238879 | + | 0.971049i | \(0.423220\pi\) |
−0.960393 | + | 0.278650i | \(0.910113\pi\) | |||||||
\(368\) | −4.01259 | + | 6.95000i | −0.209171 | + | 0.362294i | ||||
\(369\) | −44.3156 | − | 5.44101i | −2.30698 | − | 0.283248i | ||||
\(370\) | −38.6356 | −2.00857 | ||||||||
\(371\) | 31.2416 | − | 0.912330i | 1.62198 | − | 0.0473658i | ||||
\(372\) | − | 69.9599i | − | 3.62725i | ||||||
\(373\) | −2.25840 | − | 3.91166i | −0.116935 | − | 0.202538i | 0.801616 | − | 0.597839i | \(-0.203974\pi\) |
−0.918552 | + | 0.395301i | \(0.870640\pi\) | |||||||
\(374\) | −3.32445 | + | 5.75812i | −0.171903 | + | 0.297746i | ||||
\(375\) | −13.6248 | − | 7.86630i | −0.703583 | − | 0.406214i | ||||
\(376\) | 4.39416 | − | 2.53697i | 0.226612 | − | 0.130834i | ||||
\(377\) | −9.22575 | −0.475150 | ||||||||
\(378\) | −34.8007 | + | 64.5583i | −1.78996 | + | 3.32052i | ||||
\(379\) | −16.2947 | −0.837005 | −0.418502 | − | 0.908216i | \(-0.637445\pi\) | ||||
−0.418502 | + | 0.908216i | \(0.637445\pi\) | |||||||
\(380\) | 24.4326 | − | 14.1062i | 1.25336 | − | 0.723630i | ||||
\(381\) | 26.6952 | + | 15.4125i | 1.36764 | + | 0.789606i | ||||
\(382\) | −3.37453 | − | 1.94828i | −0.172656 | − | 0.0996829i | ||||
\(383\) | −14.0817 | + | 8.13006i | −0.719540 | + | 0.415426i | −0.814583 | − | 0.580047i | \(-0.803034\pi\) |
0.0950435 | + | 0.995473i | \(0.469701\pi\) | |||||||
\(384\) | − | 44.4248i | − | 2.26704i | ||||||
\(385\) | 11.7405 | + | 19.0298i | 0.598352 | + | 0.969848i | ||||
\(386\) | 5.75001i | 0.292668i | ||||||||
\(387\) | 36.8609 | + | 63.8449i | 1.87374 | + | 3.24542i | ||||
\(388\) | −14.8359 | − | 8.56549i | −0.753177 | − | 0.434847i | ||||
\(389\) | 7.15642 | − | 12.3953i | 0.362845 | − | 0.628466i | −0.625583 | − | 0.780158i | \(-0.715139\pi\) |
0.988428 | + | 0.151692i | \(0.0484722\pi\) | |||||||
\(390\) | −21.3927 | − | 37.0533i | −1.08326 | − | 1.87627i | ||||
\(391\) | − | 5.62794i | − | 0.284617i | ||||||
\(392\) | 6.11600 | − | 12.1844i | 0.308905 | − | 0.615403i | ||||
\(393\) | 38.8938i | 1.96193i | ||||||||
\(394\) | 25.5923 | + | 44.3271i | 1.28932 | + | 2.23317i | ||||
\(395\) | 34.6640 | + | 20.0133i | 1.74414 | + | 1.00698i | ||||
\(396\) | −51.1451 | − | 29.5286i | −2.57014 | − | 1.48387i | ||||
\(397\) | 27.6687 | − | 15.9745i | 1.38865 | − | 0.801739i | 0.395490 | − | 0.918470i | \(-0.370575\pi\) |
0.993164 | + | 0.116731i | \(0.0372415\pi\) | |||||||
\(398\) | − | 17.5315i | − | 0.878776i | ||||||
\(399\) | 24.2135 | − | 14.9386i | 1.21219 | − | 0.747866i | ||||
\(400\) | −4.77021 | −0.238510 | ||||||||
\(401\) | −2.63569 | − | 4.56514i | −0.131620 | − | 0.227972i | 0.792681 | − | 0.609636i | \(-0.208684\pi\) |
−0.924301 | + | 0.381664i | \(0.875351\pi\) | |||||||
\(402\) | 46.4913 | − | 80.5252i | 2.31877 | − | 4.01623i | ||||
\(403\) | 14.1996 | + | 8.19812i | 0.707330 | + | 0.408377i | ||||
\(404\) | −9.64617 | + | 5.56922i | −0.479915 | + | 0.277079i | ||||
\(405\) | −53.7760 | −2.67215 | ||||||||
\(406\) | 11.9990 | − | 22.2592i | 0.595502 | − | 1.10471i | ||||
\(407\) | − | 17.8759i | − | 0.886074i | ||||||
\(408\) | 3.14858 | + | 5.45349i | 0.155878 | + | 0.269988i | ||||
\(409\) | 7.21512 | − | 12.4970i | 0.356765 | − | 0.617935i | −0.630654 | − | 0.776064i | \(-0.717213\pi\) |
0.987418 | + | 0.158130i | \(0.0505464\pi\) | |||||||
\(410\) | 15.8941 | + | 37.4436i | 0.784954 | + | 1.84921i | ||||
\(411\) | 5.54246 | + | 9.59983i | 0.273389 | + | 0.473524i | ||||
\(412\) | 1.55672 | 0.0766939 | ||||||||
\(413\) | 0.437989 | + | 14.9984i | 0.0215520 | + | 0.738023i | ||||
\(414\) | 84.6850 | 4.16204 | ||||||||
\(415\) | −19.3944 | − | 33.5920i | −0.952031 | − | 1.64897i | ||||
\(416\) | 13.1518 | + | 7.59321i | 0.644822 | + | 0.372288i | ||||
\(417\) | 9.89388 | + | 5.71224i | 0.484506 | + | 0.279729i | ||||
\(418\) | 11.0566 | + | 19.1507i | 0.540798 | + | 0.936689i | ||||
\(419\) | 4.33621 | 0.211838 | 0.105919 | − | 0.994375i | \(-0.466222\pi\) | ||||
0.105919 | + | 0.994375i | \(0.466222\pi\) | |||||||
\(420\) | 69.1954 | − | 2.02067i | 3.37639 | − | 0.0985986i | ||||
\(421\) | 15.5093i | 0.755879i | 0.925830 | + | 0.377939i | \(0.123367\pi\) | ||||
−0.925830 | + | 0.377939i | \(0.876633\pi\) | |||||||
\(422\) | 11.4635 | − | 6.61847i | 0.558036 | − | 0.322182i | ||||
\(423\) | 15.7322 | + | 9.08301i | 0.764927 | + | 0.441631i | ||||
\(424\) | 19.9251 | + | 11.5037i | 0.967647 | + | 0.558671i | ||||
\(425\) | 2.89709 | − | 1.67264i | 0.140530 | − | 0.0811348i | ||||
\(426\) | −16.9290 | −0.820211 | ||||||||
\(427\) | 23.3191 | + | 12.5704i | 1.12849 | + | 0.608323i | ||||
\(428\) | −46.7987 | −2.26210 | ||||||||
\(429\) | 17.1438 | − | 9.89796i | 0.827709 | − | 0.477878i | ||||
\(430\) | 33.5824 | − | 58.1665i | 1.61949 | − | 2.80504i | ||||
\(431\) | 15.8452 | − | 27.4446i | 0.763234 | − | 1.32196i | −0.177941 | − | 0.984041i | \(-0.556944\pi\) |
0.941175 | − | 0.337919i | \(-0.109723\pi\) | |||||||
\(432\) | 15.8631 | − | 9.15858i | 0.763215 | − | 0.440642i | ||||
\(433\) | 27.9518 | 1.34328 | 0.671638 | − | 0.740879i | \(-0.265591\pi\) | ||||
0.671638 | + | 0.740879i | \(0.265591\pi\) | |||||||
\(434\) | −38.2478 | + | 23.5971i | −1.83595 | + | 1.13270i | ||||
\(435\) | 39.2800 | 1.88333 | ||||||||
\(436\) | 5.44018 | − | 3.14089i | 0.260538 | − | 0.150421i | ||||
\(437\) | −16.2100 | − | 9.35883i | −0.775428 | − | 0.447694i | ||||
\(438\) | 23.8637 | + | 13.7777i | 1.14025 | + | 0.658324i | ||||
\(439\) | 19.3629 | − | 11.1792i | 0.924142 | − | 0.533554i | 0.0391877 | − | 0.999232i | \(-0.487523\pi\) |
0.884954 | + | 0.465678i | \(0.154190\pi\) | |||||||
\(440\) | 16.4598i | 0.784689i | ||||||||
\(441\) | 48.7272 | − | 2.84833i | 2.32034 | − | 0.135635i | ||||
\(442\) | −4.82430 | −0.229469 | ||||||||
\(443\) | 2.37753 | + | 4.11801i | 0.112960 | + | 0.195653i | 0.916962 | − | 0.398974i | \(-0.130633\pi\) |
−0.804002 | + | 0.594626i | \(0.797300\pi\) | |||||||
\(444\) | −47.9278 | − | 27.6711i | −2.27455 | − | 1.31321i | ||||
\(445\) | −9.89474 | − | 5.71273i | −0.469055 | − | 0.270809i | ||||
\(446\) | 10.0428 | + | 17.3947i | 0.475542 | + | 0.823663i | ||||
\(447\) | −73.7859 | −3.48995 | ||||||||
\(448\) | −28.8509 | + | 17.7997i | −1.36308 | + | 0.840956i | ||||
\(449\) | −1.99929 | −0.0943521 | −0.0471761 | − | 0.998887i | \(-0.515022\pi\) | ||||
−0.0471761 | + | 0.998887i | \(0.515022\pi\) | |||||||
\(450\) | 25.1686 | + | 43.5933i | 1.18646 | + | 2.05501i | ||||
\(451\) | −17.3244 | + | 7.35388i | −0.815772 | + | 0.346280i | ||||
\(452\) | −2.87371 | + | 4.97741i | −0.135168 | + | 0.234118i | ||||
\(453\) | −3.01495 | − | 5.22204i | −0.141655 | − | 0.245353i | ||||
\(454\) | 3.30265i | 0.155001i | ||||||||
\(455\) | −7.69840 | + | 14.2812i | −0.360907 | + | 0.669512i | ||||
\(456\) | 20.9434 | 0.980763 | ||||||||
\(457\) | −14.5723 | + | 8.41334i | −0.681665 | + | 0.393559i | −0.800482 | − | 0.599357i | \(-0.795423\pi\) |
0.118817 | + | 0.992916i | \(0.462090\pi\) | |||||||
\(458\) | 1.13782 | + | 0.656923i | 0.0531670 | + | 0.0306960i | ||||
\(459\) | −6.42278 | + | 11.1246i | −0.299790 | + | 0.519251i | ||||
\(460\) | −22.7713 | − | 39.4411i | −1.06172 | − | 1.83895i | ||||
\(461\) | −9.37268 | −0.436529 | −0.218265 | − | 0.975890i | \(-0.570040\pi\) | ||||
−0.218265 | + | 0.975890i | \(0.570040\pi\) | |||||||
\(462\) | 1.58384 | + | 54.2365i | 0.0736867 | + | 2.52331i | ||||
\(463\) | − | 21.1004i | − | 0.980621i | −0.871548 | − | 0.490311i | \(-0.836883\pi\) | ||
0.871548 | − | 0.490311i | \(-0.163117\pi\) | |||||||
\(464\) | −5.46949 | + | 3.15781i | −0.253915 | + | 0.146598i | ||||
\(465\) | −60.4567 | − | 34.9047i | −2.80361 | − | 1.61867i | ||||
\(466\) | 48.2530 | + | 27.8589i | 2.23527 | + | 1.29054i | ||||
\(467\) | 0.944929 | + | 1.63666i | 0.0437261 | + | 0.0757358i | 0.887060 | − | 0.461654i | \(-0.152744\pi\) |
−0.843334 | + | 0.537390i | \(0.819410\pi\) | |||||||
\(468\) | − | 42.8506i | − | 1.98077i | ||||||
\(469\) | −35.2434 | + | 1.02919i | −1.62739 | + | 0.0475236i | ||||
\(470\) | − | 16.5503i | − | 0.763409i | ||||||
\(471\) | 0.0124413 | + | 0.0215489i | 0.000573264 | + | 0.000992922i | ||||
\(472\) | −5.52269 | + | 9.56558i | −0.254202 | + | 0.440292i | ||||
\(473\) | 26.9124 | + | 15.5379i | 1.23743 | + | 0.714433i | ||||
\(474\) | 48.5649 | + | 84.1168i | 2.23066 | + | 3.86361i | ||||
\(475\) | − | 11.1259i | − | 0.510490i | ||||||
\(476\) | 3.70377 | − | 6.87081i | 0.169762 | − | 0.314923i | ||||
\(477\) | 82.3728i | 3.77159i | ||||||||
\(478\) | −12.8293 | + | 7.40698i | −0.586797 | + | 0.338787i | ||||
\(479\) | 20.2479 | + | 11.6901i | 0.925151 | + | 0.534136i | 0.885275 | − | 0.465068i | \(-0.153970\pi\) |
0.0398764 | + | 0.999205i | \(0.487304\pi\) | |||||||
\(480\) | −55.9959 | − | 32.3292i | −2.55585 | − | 1.47562i | ||||
\(481\) | 11.2327 | − | 6.48518i | 0.512165 | − | 0.295699i | ||||
\(482\) | −14.6350 | −0.666606 | ||||||||
\(483\) | −24.1151 | − | 39.0874i | −1.09728 | − | 1.77854i | ||||
\(484\) | 6.80225 | 0.309193 | ||||||||
\(485\) | −14.8039 | + | 8.54706i | −0.672213 | + | 0.388102i | ||||
\(486\) | −40.9925 | − | 23.6670i | −1.85946 | − | 1.07356i | ||||
\(487\) | −0.805911 | + | 1.39588i | −0.0365193 | + | 0.0632533i | −0.883707 | − | 0.468040i | \(-0.844960\pi\) |
0.847188 | + | 0.531293i | \(0.178294\pi\) | |||||||
\(488\) | 9.75048 | + | 16.8883i | 0.441383 | + | 0.764498i | ||||
\(489\) | − | 19.6645i | − | 0.889259i | ||||||
\(490\) | −24.4440 | − | 37.1483i | −1.10427 | − | 1.67819i | ||||
\(491\) | −5.08100 | −0.229302 | −0.114651 | − | 0.993406i | \(-0.536575\pi\) | ||||
−0.114651 | + | 0.993406i | \(0.536575\pi\) | |||||||
\(492\) | −7.10060 | + | 57.8326i | −0.320120 | + | 2.60729i | ||||
\(493\) | 2.21453 | − | 3.83567i | 0.0997372 | − | 0.172750i | ||||
\(494\) | −8.02246 | + | 13.8953i | −0.360947 | + | 0.625179i | ||||
\(495\) | −51.0351 | + | 29.4651i | −2.29385 | + | 1.32436i | ||||
\(496\) | 11.2243 | 0.503985 | ||||||||
\(497\) | 3.37059 | + | 5.46327i | 0.151192 | + | 0.245061i | ||||
\(498\) | − | 94.1259i | − | 4.21788i | ||||||
\(499\) | 8.23176 | − | 4.75261i | 0.368504 | − | 0.212756i | −0.304301 | − | 0.952576i | \(-0.598423\pi\) |
0.672805 | + | 0.739820i | \(0.265089\pi\) | |||||||
\(500\) | −7.17758 | + | 12.4319i | −0.320991 | + | 0.555973i | ||||
\(501\) | −27.7554 | + | 48.0738i | −1.24002 | + | 2.14778i | ||||
\(502\) | 2.20793 | + | 3.82425i | 0.0985448 | + | 0.170685i | ||||
\(503\) | − | 30.7332i | − | 1.37033i | −0.728389 | − | 0.685164i | \(-0.759731\pi\) | ||
0.728389 | − | 0.685164i | \(-0.240269\pi\) | |||||||
\(504\) | 31.6278 | + | 17.0493i | 1.40882 | + | 0.759435i | ||||
\(505\) | 11.1145i | 0.494588i | ||||||||
\(506\) | 30.9146 | − | 17.8485i | 1.37432 | − | 0.793464i | ||||
\(507\) | −23.1146 | − | 13.3452i | −1.02655 | − | 0.592681i | ||||
\(508\) | 14.0631 | − | 24.3580i | 0.623949 | − | 1.08071i | ||||
\(509\) | −19.1034 | + | 11.0293i | −0.846742 | + | 0.488867i | −0.859550 | − | 0.511051i | \(-0.829256\pi\) |
0.0128084 | + | 0.999918i | \(0.495923\pi\) | |||||||
\(510\) | 20.5402 | 0.909536 | ||||||||
\(511\) | −0.305001 | − | 10.4444i | −0.0134924 | − | 0.462033i | ||||
\(512\) | 16.0829 | 0.710770 | ||||||||
\(513\) | 21.3612 | + | 36.9987i | 0.943120 | + | 1.63353i | ||||
\(514\) | −54.7196 | − | 31.5924i | −2.41358 | − | 1.39348i | ||||
\(515\) | 0.776684 | − | 1.34526i | 0.0342248 | − | 0.0592791i | ||||
\(516\) | 83.3186 | − | 48.1040i | 3.66790 | − | 2.11766i | ||||
\(517\) | 7.65748 | 0.336776 | ||||||||
\(518\) | 1.03773 | + | 35.5359i | 0.0455954 | + | 1.56136i | ||||
\(519\) | − | 3.00750i | − | 0.132015i | ||||||
\(520\) | −10.3428 | + | 5.97142i | −0.453562 | + | 0.261864i | ||||
\(521\) | 23.0616 | + | 13.3146i | 1.01035 | + | 0.583324i | 0.911293 | − | 0.411759i | \(-0.135085\pi\) |
0.0990531 | + | 0.995082i | \(0.468419\pi\) | |||||||
\(522\) | 57.7163 | + | 33.3225i | 2.52617 | + | 1.45849i | ||||
\(523\) | −20.5576 | − | 35.6068i | −0.898920 | − | 1.55698i | −0.828877 | − | 0.559431i | \(-0.811020\pi\) |
−0.0700433 | − | 0.997544i | \(-0.522314\pi\) | |||||||
\(524\) | 35.4886 | 1.55033 | ||||||||
\(525\) | 12.9539 | − | 24.0306i | 0.565356 | − | 1.04878i | ||||
\(526\) | 53.0944i | 2.31502i | ||||||||
\(527\) | −6.81685 | + | 3.93571i | −0.296947 | + | 0.171442i | ||||
\(528\) | 6.77579 | − | 11.7360i | 0.294878 | − | 0.510744i | ||||
\(529\) | −3.60780 | + | 6.24889i | −0.156861 | + | 0.271691i | ||||
\(530\) | 64.9921 | − | 37.5232i | 2.82308 | − | 1.62990i | ||||
\(531\) | −39.5453 | −1.71612 | ||||||||
\(532\) | −13.6307 | − | 22.0935i | −0.590966 | − | 0.957875i | ||||
\(533\) | −10.9060 | − | 8.21819i | −0.472393 | − | 0.355969i | ||||
\(534\) | −13.8627 | − | 24.0109i | −0.599897 | − | 1.03905i | ||||
\(535\) | −23.3490 | + | 40.4417i | −1.00947 | + | 1.74845i | ||||
\(536\) | −22.4773 | − | 12.9773i | −0.970871 | − | 0.560533i | ||||
\(537\) | −8.40453 | − | 14.5571i | −0.362682 | − | 0.628184i | ||||
\(538\) | −13.9206 | −0.600161 | ||||||||
\(539\) | 17.1877 | − | 11.3097i | 0.740328 | − | 0.487144i | ||||
\(540\) | 103.949i | 4.47327i | ||||||||
\(541\) | −1.85103 | − | 3.20608i | −0.0795821 | − | 0.137840i | 0.823488 | − | 0.567334i | \(-0.192025\pi\) |
−0.903070 | + | 0.429494i | \(0.858692\pi\) | |||||||
\(542\) | −11.1206 | + | 19.2614i | −0.477670 | + | 0.827349i | ||||
\(543\) | 25.2233 | − | 43.6880i | 1.08244 | − | 1.87483i | ||||
\(544\) | −6.31386 | + | 3.64531i | −0.270705 | + | 0.156291i | ||||
\(545\) | − | 6.26827i | − | 0.268503i | ||||||
\(546\) | −33.5060 | + | 20.6717i | −1.43392 | + | 0.884665i | ||||
\(547\) | 16.2538i | 0.694961i | 0.937687 | + | 0.347480i | \(0.112963\pi\) | ||||
−0.937687 | + | 0.347480i | \(0.887037\pi\) | |||||||
\(548\) | 8.75934 | − | 5.05721i | 0.374180 | − | 0.216033i | ||||
\(549\) | −34.9092 | + | 60.4645i | −1.48989 | + | 2.58056i | ||||
\(550\) | 18.3758 | + | 10.6093i | 0.783546 | + | 0.452381i | ||||
\(551\) | −7.36518 | − | 12.7569i | −0.313767 | − | 0.543461i | ||||
\(552\) | − | 33.8085i | − | 1.43899i | ||||||
\(553\) | 17.4766 | − | 32.4205i | 0.743180 | − | 1.37866i | ||||
\(554\) | 2.37619 | 0.100955 | ||||||||
\(555\) | −47.8247 | + | 27.6116i | −2.03005 | + | 1.17205i | ||||
\(556\) | 5.21212 | − | 9.02765i | 0.221043 | − | 0.382858i | ||||
\(557\) | −29.2703 | − | 16.8992i | −1.24022 | − | 0.716043i | −0.271083 | − | 0.962556i | \(-0.587382\pi\) |
−0.969140 | + | 0.246513i | \(0.920715\pi\) | |||||||
\(558\) | −59.2216 | − | 102.575i | −2.50705 | − | 4.34234i | ||||
\(559\) | 22.5479i | 0.953675i | ||||||||
\(560\) | 0.324194 | + | 11.1016i | 0.0136997 | + | 0.469129i | ||||
\(561\) | 9.50352i | 0.401239i | ||||||||
\(562\) | 27.1525 | − | 15.6765i | 1.14536 | − | 0.661273i | ||||
\(563\) | −26.5227 | − | 15.3129i | −1.11780 | − | 0.645362i | −0.176961 | − | 0.984218i | \(-0.556627\pi\) |
−0.940838 | + | 0.338856i | \(0.889960\pi\) | |||||||
\(564\) | 11.8535 | − | 20.5308i | 0.499121 | − | 0.864503i | ||||
\(565\) | 2.86753 | + | 4.96670i | 0.120638 | + | 0.208951i | ||||
\(566\) | −1.25210 | −0.0526296 | ||||||||
\(567\) | 1.44440 | + | 49.4617i | 0.0606590 | + | 2.07720i | ||||
\(568\) | 4.72544i | 0.198275i | ||||||||
\(569\) | 4.18149 | + | 7.24255i | 0.175297 | + | 0.303624i | 0.940264 | − | 0.340446i | \(-0.110578\pi\) |
−0.764967 | + | 0.644070i | \(0.777245\pi\) | |||||||
\(570\) | 34.1568 | − | 59.1613i | 1.43067 | − | 2.47800i | ||||
\(571\) | −24.9430 | − | 14.4008i | −1.04383 | − | 0.602657i | −0.122916 | − | 0.992417i | \(-0.539225\pi\) |
−0.920916 | + | 0.389760i | \(0.872558\pi\) | |||||||
\(572\) | −9.03137 | − | 15.6428i | −0.377621 | − | 0.654058i | ||||
\(573\) | −5.56950 | −0.232669 | ||||||||
\(574\) | 34.0126 | − | 15.6247i | 1.41966 | − | 0.652162i | ||||
\(575\) | −17.9603 | −0.748997 | ||||||||
\(576\) | −44.6718 | − | 77.3738i | −1.86132 | − | 3.22391i | ||||
\(577\) | 1.08725 | + | 0.627723i | 0.0452628 | + | 0.0261325i | 0.522461 | − | 0.852663i | \(-0.325014\pi\) |
−0.477198 | + | 0.878796i | \(0.658347\pi\) | |||||||
\(578\) | −17.6220 | + | 30.5222i | −0.732978 | + | 1.26956i | ||||
\(579\) | 4.10935 | + | 7.11759i | 0.170779 | + | 0.295797i | ||||
\(580\) | − | 35.8410i | − | 1.48822i | ||||||
\(581\) | −30.3761 | + | 18.7407i | −1.26021 | + | 0.777493i | ||||
\(582\) | −41.4812 | −1.71945 | ||||||||
\(583\) | 17.3612 | + | 30.0705i | 0.719028 | + | 1.24539i | ||||
\(584\) | 3.84582 | − | 6.66115i | 0.159141 | − | 0.275640i | ||||
\(585\) | −37.0299 | − | 21.3792i | −1.53100 | − | 0.883923i | ||||
\(586\) | −18.5602 | + | 10.7157i | −0.766716 | + | 0.442663i | ||||
\(587\) | 5.07257i | 0.209367i | 0.994506 | + | 0.104684i | \(0.0333830\pi\) | ||||
−0.994506 | + | 0.104684i | \(0.966617\pi\) | |||||||
\(588\) | −3.71711 | − | 63.5897i | −0.153291 | − | 2.62240i | ||||
\(589\) | 26.1792i | 1.07869i | ||||||||
\(590\) | 18.0141 | + | 31.2013i | 0.741627 | + | 1.28454i | ||||
\(591\) | 63.3583 | + | 36.5799i | 2.60621 | + | 1.50470i | ||||
\(592\) | 4.43952 | − | 7.68947i | 0.182463 | − | 0.316035i | ||||
\(593\) | −2.21353 | + | 1.27798i | −0.0908990 | + | 0.0524805i | −0.544760 | − | 0.838592i | \(-0.683379\pi\) |
0.453861 | + | 0.891072i | \(0.350046\pi\) | |||||||
\(594\) | −81.4773 | −3.34305 | ||||||||
\(595\) | −4.08959 | − | 6.62868i | −0.167657 | − | 0.271749i | ||||
\(596\) | 67.3257i | 2.75777i | ||||||||
\(597\) | −12.5292 | − | 21.7012i | −0.512786 | − | 0.888172i | ||||
\(598\) | 22.4309 | + | 12.9505i | 0.917270 | + | 0.529586i | ||||
\(599\) | −2.72733 | + | 4.72387i | −0.111436 | + | 0.193012i | −0.916349 | − | 0.400380i | \(-0.868878\pi\) |
0.804914 | + | 0.593392i | \(0.202212\pi\) | |||||||
\(600\) | 17.4036 | − | 10.0480i | 0.710500 | − | 0.410207i | ||||
\(601\) | − | 39.5331i | − | 1.61259i | −0.591514 | − | 0.806295i | \(-0.701470\pi\) | ||
0.591514 | − | 0.806295i | \(-0.298530\pi\) | |||||||
\(602\) | −54.4019 | − | 29.3259i | −2.21726 | − | 1.19523i | ||||
\(603\) | − | 92.9239i | − | 3.78416i | ||||||
\(604\) | −4.76484 | + | 2.75098i | −0.193879 | + | 0.111936i | ||||
\(605\) | 3.39381 | − | 5.87825i | 0.137978 | − | 0.238985i | ||||
\(606\) | −13.4854 | + | 23.3574i | −0.547806 | + | 0.948828i | ||||
\(607\) | 8.03384 | + | 13.9150i | 0.326083 | + | 0.564793i | 0.981731 | − | 0.190274i | \(-0.0609377\pi\) |
−0.655648 | + | 0.755067i | \(0.727604\pi\) | |||||||
\(608\) | 24.2475i | 0.983366i | ||||||||
\(609\) | −1.05504 | − | 36.1287i | −0.0427525 | − | 1.46401i | ||||
\(610\) | 63.6087 | 2.57544 | ||||||||
\(611\) | 2.77805 | + | 4.81173i | 0.112388 | + | 0.194662i | ||||
\(612\) | 17.8155 | + | 10.2858i | 0.720147 | + | 0.415777i | ||||
\(613\) | −3.45846 | + | 5.99022i | −0.139686 | + | 0.241943i | −0.927378 | − | 0.374127i | \(-0.877943\pi\) |
0.787692 | + | 0.616069i | \(0.211276\pi\) | |||||||
\(614\) | −6.04378 | − | 10.4681i | −0.243907 | − | 0.422460i | ||||
\(615\) | 46.4341 | + | 34.9902i | 1.87240 | + | 1.41094i | ||||
\(616\) | 15.1392 | − | 0.442102i | 0.609977 | − | 0.0178128i | ||||
\(617\) | −18.1025 | −0.728777 | −0.364389 | − | 0.931247i | \(-0.618722\pi\) | ||||
−0.364389 | + | 0.931247i | \(0.618722\pi\) | |||||||
\(618\) | 3.26444 | − | 1.88473i | 0.131315 | − | 0.0758148i | ||||
\(619\) | −21.1000 | + | 36.5463i | −0.848080 | + | 1.46892i | 0.0348385 | + | 0.999393i | \(0.488908\pi\) |
−0.882919 | + | 0.469525i | \(0.844425\pi\) | |||||||
\(620\) | −31.8487 | + | 55.1636i | −1.27908 | + | 2.21542i | ||||
\(621\) | 59.7263 | − | 34.4830i | 2.39673 | − | 1.38376i | ||||
\(622\) | 30.4510i | 1.22098i | ||||||||
\(623\) | −4.98864 | + | 9.25434i | −0.199866 | + | 0.370767i | ||||
\(624\) | 9.83273 | 0.393624 | ||||||||
\(625\) | 15.3306 | + | 26.5533i | 0.613223 | + | 1.06213i | ||||
\(626\) | −2.25850 | − | 1.30394i | −0.0902678 | − | 0.0521161i | ||||
\(627\) | 27.3727 | + | 15.8036i | 1.09316 | + | 0.631137i | ||||
\(628\) | 0.0196623 | − | 0.0113520i | 0.000784610 | − | 0.000452995i | ||||
\(629\) | 6.22674i | 0.248276i | ||||||||
\(630\) | 99.7434 | − | 61.5372i | 3.97387 | − | 2.45170i | ||||
\(631\) | 24.1978 | 0.963301 | 0.481651 | − | 0.876363i | \(-0.340037\pi\) | ||||
0.481651 | + | 0.876363i | \(0.340037\pi\) | |||||||
\(632\) | 23.4798 | − | 13.5561i | 0.933977 | − | 0.539232i | ||||
\(633\) | 9.46001 | − | 16.3852i | 0.376002 | − | 0.651254i | ||||
\(634\) | 33.8382 | + | 19.5365i | 1.34389 | + | 0.775894i | ||||
\(635\) | −14.0328 | − | 24.3056i | −0.556876 | − | 0.964538i | ||||
\(636\) | 107.498 | 4.26256 | ||||||||
\(637\) | 13.3422 | + | 6.69719i | 0.528637 | + | 0.265352i | ||||
\(638\) | 28.0927 | 1.11220 | ||||||||
\(639\) | −14.6517 | + | 8.45915i | −0.579611 | + | 0.334639i | ||||
\(640\) | −20.2241 | + | 35.0291i | −0.799426 | + | 1.38465i | ||||
\(641\) | −18.8030 | − | 10.8559i | −0.742674 | − | 0.428783i | 0.0803666 | − | 0.996765i | \(-0.474391\pi\) |
−0.823041 | + | 0.567982i | \(0.807724\pi\) | |||||||
\(642\) | −98.1371 | + | 56.6595i | −3.87316 | + | 2.23617i | ||||
\(643\) | − | 33.3136i | − | 1.31376i | −0.753995 | − | 0.656881i | \(-0.771876\pi\) | ||
0.753995 | − | 0.656881i | \(-0.228124\pi\) | |||||||
\(644\) | −35.6652 | + | 22.0038i | −1.40540 | + | 0.867071i | ||||
\(645\) | − | 96.0011i | − | 3.78004i | ||||||
\(646\) | −3.85138 | − | 6.67078i | −0.151530 | − | 0.262458i | ||||
\(647\) | 8.05024 | − | 13.9434i | 0.316487 | − | 0.548172i | −0.663265 | − | 0.748385i | \(-0.730830\pi\) |
0.979753 | + | 0.200212i | \(0.0641632\pi\) | |||||||
\(648\) | −18.2127 | + | 31.5453i | −0.715463 | + | 1.23922i | ||||
\(649\) | −14.4362 | + | 8.33472i | −0.566669 | + | 0.327167i | ||||
\(650\) | 15.3957i | 0.603869i | ||||||||
\(651\) | −30.4805 | + | 56.5439i | −1.19463 | + | 2.21613i | ||||
\(652\) | −17.9428 | −0.702695 | ||||||||
\(653\) | 33.6956 | − | 19.4542i | 1.31861 | − | 0.761301i | 0.335106 | − | 0.942180i | \(-0.391228\pi\) |
0.983505 | + | 0.180879i | \(0.0578944\pi\) | |||||||
\(654\) | 7.60539 | − | 13.1729i | 0.297394 | − | 0.515102i | ||||
\(655\) | 17.7061 | − | 30.6679i | 0.691836 | − | 1.19829i | ||||
\(656\) | −9.27858 | − | 1.13921i | −0.362268 | − | 0.0444787i | ||||
\(657\) | 27.5380 | 1.07436 | ||||||||
\(658\) | −15.2225 | + | 0.444534i | −0.593435 | + | 0.0173297i | ||||
\(659\) | − | 13.9644i | − | 0.543977i | −0.962301 | − | 0.271988i | \(-0.912319\pi\) | ||
0.962301 | − | 0.271988i | \(-0.0876813\pi\) | |||||||
\(660\) | 38.4524 | + | 66.6016i | 1.49676 | + | 2.59246i | ||||
\(661\) | −15.6015 | + | 27.0225i | −0.606826 | + | 1.05105i | 0.384934 | + | 0.922944i | \(0.374224\pi\) |
−0.991760 | + | 0.128110i | \(0.959109\pi\) | |||||||
\(662\) | 33.8206 | + | 19.5263i | 1.31447 | + | 0.758912i | ||||
\(663\) | −5.97172 | + | 3.44778i | −0.231922 | + | 0.133900i | ||||
\(664\) | −26.2737 | −1.01962 | ||||||||
\(665\) | −25.8931 | + | 0.756139i | −1.00409 | + | 0.0293218i | ||||
\(666\) | −93.6953 | −3.63062 | ||||||||
\(667\) | −20.5932 | + | 11.8895i | −0.797371 | + | 0.460362i | ||||
\(668\) | 43.8649 | + | 25.3254i | 1.69718 | + | 0.979869i | ||||
\(669\) | 24.8629 | + | 14.3546i | 0.961254 | + | 0.554980i | ||||
\(670\) | −73.3170 | + | 42.3296i | −2.83248 | + | 1.63533i | ||||
\(671\) | 29.4304i | 1.13615i | ||||||||
\(672\) | −28.2315 | + | 52.3718i | −1.08905 | + | 2.02029i | ||||
\(673\) | − | 41.5980i | − | 1.60349i | −0.597669 | − | 0.801743i | \(-0.703906\pi\) | ||
0.597669 | − | 0.801743i | \(-0.296094\pi\) | |||||||
\(674\) | 3.18248 | + | 5.51222i | 0.122585 | + | 0.212323i | ||||
\(675\) | 35.5016 | + | 20.4969i | 1.36646 | + | 0.788925i | ||||
\(676\) | −12.1768 | + | 21.0908i | −0.468338 | + | 0.811185i | ||||
\(677\) | −5.15423 | − | 8.92740i | −0.198093 | − | 0.343108i | 0.749817 | − | 0.661645i | \(-0.230142\pi\) |
−0.947910 | + | 0.318538i | \(0.896808\pi\) | |||||||
\(678\) | 13.9169i | 0.534474i | ||||||||
\(679\) | 8.25898 | + | 13.3867i | 0.316951 | + | 0.513734i | ||||
\(680\) | − | 5.73346i | − | 0.219868i | ||||||
\(681\) | 2.36030 | + | 4.08816i | 0.0904468 | + | 0.156658i | ||||
\(682\) | −43.2381 | − | 24.9636i | −1.65567 | − | 0.955904i | ||||
\(683\) | 37.9451 | + | 21.9076i | 1.45193 | + | 0.838271i | 0.998591 | − | 0.0530674i | \(-0.0168998\pi\) |
0.453338 | + | 0.891339i | \(0.350233\pi\) | |||||||
\(684\) | 59.2515 | − | 34.2089i | 2.26554 | − | 1.30801i | ||||
\(685\) | − | 10.0927i | − | 0.385621i | ||||||
\(686\) | −33.5114 | + | 23.4807i | −1.27947 | + | 0.896497i | ||||
\(687\) | 1.87793 | 0.0716473 | ||||||||
\(688\) | 7.71775 | + | 13.3675i | 0.294236 | + | 0.509632i | ||||
\(689\) | −12.5969 | + | 21.8185i | −0.479904 | + | 0.831219i | ||||
\(690\) | −95.5031 | − | 55.1388i | −3.63574 | − | 2.09910i | ||||
\(691\) | 23.5098 | − | 13.5734i | 0.894354 | − | 0.516355i | 0.0189898 | − | 0.999820i | \(-0.493955\pi\) |
0.875364 | + | 0.483464i | \(0.160622\pi\) | |||||||
\(692\) | −2.74419 | −0.104318 | ||||||||
\(693\) | 28.4720 | + | 46.1492i | 1.08156 | + | 1.75306i | ||||
\(694\) | 9.53144i | 0.361809i | ||||||||
\(695\) | −5.20091 | − | 9.00823i | −0.197282 | − | 0.341702i | ||||
\(696\) | 13.3033 | − | 23.0419i | 0.504258 | − | 0.873401i | ||||
\(697\) | 6.03463 | − | 2.56159i | 0.228578 | − | 0.0970271i | ||||
\(698\) | −13.4704 | − | 23.3314i | −0.509862 | − | 0.883107i | ||||
\(699\) | 79.6393 | 3.01224 | ||||||||
\(700\) | −21.9267 | − | 11.8198i | −0.828751 | − | 0.446746i | ||||
\(701\) | −14.4055 | −0.544087 | −0.272043 | − | 0.962285i | \(-0.587699\pi\) | ||||
−0.272043 | + | 0.962285i | \(0.587699\pi\) | |||||||
\(702\) | −29.5591 | − | 51.1978i | −1.11564 | − | 1.93234i | ||||
\(703\) | 17.9347 | + | 10.3546i | 0.676420 | + | 0.390531i | ||||
\(704\) | −32.6152 | − | 18.8304i | −1.22923 | − | 0.709697i | ||||
\(705\) | −11.8280 | − | 20.4867i | −0.445467 | − | 0.771572i | ||||
\(706\) | 21.6221 | 0.813759 | ||||||||
\(707\) | 10.2228 | − | 0.298530i | 0.384467 | − | 0.0112274i | ||||
\(708\) | 51.6073i | 1.93952i | ||||||||
\(709\) | −18.4326 | + | 10.6421i | −0.692250 | + | 0.399671i | −0.804454 | − | 0.594014i | \(-0.797542\pi\) |
0.112204 | + | 0.993685i | \(0.464209\pi\) | |||||||
\(710\) | 13.3485 | + | 7.70678i | 0.500962 | + | 0.289230i | ||||
\(711\) | 84.0638 | + | 48.5343i | 3.15264 | + | 1.82018i | ||||
\(712\) | −6.70224 | + | 3.86954i | −0.251177 | + | 0.145017i | ||||
\(713\) | 42.2605 | 1.58267 | ||||||||
\(714\) | −0.551700 | − | 18.8923i | −0.0206469 | − | 0.707027i | ||||
\(715\) | −18.0239 | −0.674055 | ||||||||
\(716\) | −13.2826 | + | 7.66869i | −0.496393 | + | 0.286592i | ||||
\(717\) | −10.5871 | + | 18.3373i | −0.395381 | + | 0.684820i | ||||
\(718\) | −32.0777 | + | 55.5601i | −1.19713 | + | 2.07349i | ||||
\(719\) | −15.9063 | + | 9.18349i | −0.593204 | + | 0.342486i | −0.766363 | − | 0.642407i | \(-0.777936\pi\) |
0.173159 | + | 0.984894i | \(0.444602\pi\) | |||||||
\(720\) | −29.2709 | −1.09086 | ||||||||
\(721\) | −1.25819 | − | 0.678240i | −0.0468575 | − | 0.0252590i | ||||
\(722\) | 16.3606 | 0.608879 | ||||||||
\(723\) | −18.1158 | + | 10.4592i | −0.673734 | + | 0.388980i | ||||
\(724\) | −39.8630 | − | 23.0149i | −1.48150 | − | 0.855343i | ||||
\(725\) | −12.2407 | − | 7.06717i | −0.454608 | − | 0.262468i | ||||
\(726\) | 14.2643 | − | 8.23552i | 0.529399 | − | 0.305649i | ||||
\(727\) | 21.9090i | 0.812559i | 0.913749 | + | 0.406280i | \(0.133174\pi\) | ||||
−0.913749 | + | 0.406280i | \(0.866826\pi\) | |||||||
\(728\) | 5.77015 | + | 9.35264i | 0.213856 | + | 0.346632i | ||||
\(729\) | −11.5480 | −0.427705 | ||||||||
\(730\) | −12.5444 | − | 21.7275i | −0.464289 | − | 0.804171i | ||||
\(731\) | −9.37445 | − | 5.41234i | −0.346727 | − | 0.200183i | ||||
\(732\) | 78.9072 | + | 45.5571i | 2.91649 | + | 1.68384i | ||||
\(733\) | 18.8333 | + | 32.6203i | 0.695626 | + | 1.20486i | 0.969969 | + | 0.243227i | \(0.0782060\pi\) |
−0.274344 | + | 0.961632i | \(0.588461\pi\) | |||||||
\(734\) | 61.0780 | 2.25443 | ||||||||
\(735\) | −56.8064 | − | 28.5143i | −2.09534 | − | 1.05177i | ||||
\(736\) | 39.1423 | 1.44281 | ||||||||
\(737\) | −19.5850 | − | 33.9222i | −0.721423 | − | 1.24954i | ||||
\(738\) | 38.5449 | + | 90.8045i | 1.41886 | + | 3.34256i | ||||
\(739\) | −6.35428 | + | 11.0059i | −0.233746 | + | 0.404860i | −0.958907 | − | 0.283719i | \(-0.908432\pi\) |
0.725162 | + | 0.688579i | \(0.241765\pi\) | |||||||
\(740\) | 25.1941 | + | 43.6375i | 0.926155 | + | 1.60415i | ||||
\(741\) | 22.9336i | 0.842486i | ||||||||
\(742\) | −36.2585 | − | 58.7701i | −1.33109 | − | 2.15752i | ||||
\(743\) | −26.9849 | −0.989979 | −0.494990 | − | 0.868899i | \(-0.664828\pi\) | ||||
−0.494990 | + | 0.868899i | \(0.664828\pi\) | |||||||
\(744\) | −40.9506 | + | 23.6429i | −1.50132 | + | 0.866789i | ||||
\(745\) | 58.1804 | + | 33.5905i | 2.13156 | + | 1.23066i | ||||
\(746\) | −4.98973 | + | 8.64246i | −0.182687 | + | 0.316423i | ||||
\(747\) | −47.0333 | − | 81.4641i | −1.72086 | − | 2.98062i | ||||
\(748\) | 8.67147 | 0.317060 | ||||||||
\(749\) | 37.8243 | + | 20.3895i | 1.38207 | + | 0.745017i | ||||
\(750\) | 34.7598i | 1.26925i | ||||||||
\(751\) | 5.48244 | − | 3.16529i | 0.200057 | − | 0.115503i | −0.396625 | − | 0.917981i | \(-0.629819\pi\) |
0.596682 | + | 0.802478i | \(0.296485\pi\) | |||||||
\(752\) | 3.29394 | + | 1.90175i | 0.120117 | + | 0.0693499i | ||||
\(753\) | 5.46614 | + | 3.15587i | 0.199197 | + | 0.115006i | ||||
\(754\) | 10.1917 | + | 17.6526i | 0.371161 | + | 0.642870i | ||||
\(755\) | 5.49013i | 0.199806i | ||||||||
\(756\) | 95.6098 | − | 2.79203i | 3.47729 | − | 0.101545i | ||||
\(757\) | 18.4624i | 0.671027i | 0.942035 | + | 0.335513i | \(0.108910\pi\) | ||||
−0.942035 | + | 0.335513i | \(0.891090\pi\) | |||||||
\(758\) | 18.0009 | + | 31.1785i | 0.653822 | + | 1.13245i | ||||
\(759\) | 25.5115 | − | 44.1873i | 0.926011 | − | 1.60390i | ||||
\(760\) | −16.5139 | − | 9.53431i | −0.599023 | − | 0.345846i | ||||
\(761\) | −11.8185 | − | 20.4703i | −0.428421 | − | 0.742046i | 0.568313 | − | 0.822813i | \(-0.307596\pi\) |
−0.996733 | + | 0.0807667i | \(0.974263\pi\) | |||||||
\(762\) | − | 68.1051i | − | 2.46719i | ||||||
\(763\) | −5.76538 | + | 0.168363i | −0.208721 | + | 0.00609514i | ||||
\(764\) | 5.08188i | 0.183856i | ||||||||
\(765\) | 17.7771 | − | 10.2636i | 0.642734 | − | 0.371082i | ||||
\(766\) | 31.1122 | + | 17.9626i | 1.12413 | + | 0.649017i | ||||
\(767\) | −10.4746 | − | 6.04750i | −0.378215 | − | 0.218362i | ||||
\(768\) | −14.9184 | + | 8.61315i | −0.538322 | + | 0.310800i | ||||
\(769\) | −46.8962 | −1.69112 | −0.845560 | − | 0.533880i | \(-0.820733\pi\) | ||||
−0.845560 | + | 0.533880i | \(0.820733\pi\) | |||||||
\(770\) | 23.4419 | − | 43.4867i | 0.844788 | − | 1.56715i | ||||
\(771\) | −90.3122 | −3.25252 | ||||||||
\(772\) | 6.49443 | − | 3.74956i | 0.233740 | − | 0.134950i | ||||
\(773\) | 3.73047 | + | 2.15379i | 0.134176 | + | 0.0774664i | 0.565585 | − | 0.824690i | \(-0.308650\pi\) |
−0.431410 | + | 0.902156i | \(0.641984\pi\) | |||||||
\(774\) | 81.4409 | − | 141.060i | 2.92733 | − | 5.07029i | ||||
\(775\) | 12.5599 | + | 21.7545i | 0.451167 | + | 0.781444i | ||||
\(776\) | 11.5788i | 0.415654i | ||||||||
\(777\) | 26.6809 | + | 43.2462i | 0.957173 | + | 1.55145i | ||||
\(778\) | −31.6230 | −1.13374 | ||||||||
\(779\) | 2.65706 | − | 21.6411i | 0.0951991 | − | 0.775372i | ||||
\(780\) | −27.9002 | + | 48.3246i | −0.998989 | + | 1.73030i | ||||
\(781\) | −3.56577 | + | 6.17609i | −0.127593 | + | 0.220998i | ||||
\(782\) | −10.7685 | + | 6.21721i | −0.385082 | + | 0.222327i | ||||
\(783\) | 54.2746 | 1.93962 | ||||||||
\(784\) | 10.2023 | − | 0.596369i | 0.364366 | − | 0.0212989i | ||||
\(785\) | − | 0.0226552i | − | 0.000808599i | ||||||
\(786\) | 74.4197 | − | 42.9663i | 2.65446 | − | 1.53256i | ||||
\(787\) | 2.80026 | − | 4.85019i | 0.0998184 | − | 0.172891i | −0.811791 | − | 0.583948i | \(-0.801507\pi\) |
0.911609 | + | 0.411058i | \(0.134840\pi\) | |||||||
\(788\) | 33.3773 | − | 57.8111i | 1.18902 | − | 2.05944i | ||||
\(789\) | 37.9448 | + | 65.7224i | 1.35087 | + | 2.33978i | ||||
\(790\) | − | 88.4351i | − | 3.14638i | ||||||
\(791\) | 4.49122 | − | 2.77088i | 0.159689 | − | 0.0985210i | ||||
\(792\) | 39.9166i | 1.41838i | ||||||||
\(793\) | −18.4932 | + | 10.6770i | −0.656712 | + | 0.379153i | ||||
\(794\) | −61.1316 | − | 35.2944i | −2.16948 | − | 1.25255i | ||||
\(795\) | 53.6333 | − | 92.8955i | 1.90218 | − | 3.29467i | ||||
\(796\) | −19.8012 | + | 11.4322i | −0.701836 | + | 0.405205i | ||||
\(797\) | 2.09612 | 0.0742482 | 0.0371241 | − | 0.999311i | \(-0.488180\pi\) | ||||
0.0371241 | + | 0.999311i | \(0.488180\pi\) | |||||||
\(798\) | −55.3324 | − | 29.8274i | −1.95875 | − | 1.05588i | ||||
\(799\) | −2.66735 | −0.0943639 | ||||||||
\(800\) | 11.6332 | + | 20.1493i | 0.411296 | + | 0.712385i | ||||
\(801\) | −23.9958 | − | 13.8540i | −0.847848 | − | 0.489505i | ||||
\(802\) | −5.82332 | + | 10.0863i | −0.205628 | + | 0.356159i | ||||
\(803\) | 10.0529 | − | 5.80403i | 0.354758 | − | 0.204820i | ||||
\(804\) | −121.267 | −4.27676 | ||||||||
\(805\) | 1.22062 | + | 41.7987i | 0.0430213 | + | 1.47321i | ||||
\(806\) | − | 36.2260i | − | 1.27601i | ||||||
\(807\) | −17.2315 | + | 9.94863i | −0.606579 | + | 0.350208i | ||||
\(808\) | 6.51982 | + | 3.76422i | 0.229367 | + | 0.132425i | ||||
\(809\) | 7.26371 | + | 4.19370i | 0.255378 | + | 0.147443i | 0.622225 | − | 0.782839i | \(-0.286229\pi\) |
−0.366846 | + | 0.930282i | \(0.619562\pi\) | |||||||
\(810\) | 59.4067 | + | 102.895i | 2.08734 | + | 3.61538i | ||||
\(811\) | 32.8510 | 1.15356 | 0.576778 | − | 0.816901i | \(-0.304310\pi\) | ||||
0.576778 | + | 0.816901i | \(0.304310\pi\) | |||||||
\(812\) | −32.9655 | + | 0.962672i | −1.15686 | + | 0.0337832i | ||||
\(813\) | 31.7901i | 1.11493i | ||||||||
\(814\) | −34.2038 | + | 19.7476i | −1.19884 | + | 0.692153i | ||||
\(815\) | −8.95211 | + | 15.5055i | −0.313579 | + | 0.543134i | ||||
\(816\) | −2.36022 | + | 4.08803i | −0.0826243 | + | 0.143110i | ||||
\(817\) | −31.1780 | + | 18.0006i | −1.09078 | + | 0.629763i | ||||
\(818\) | −31.8823 | −1.11474 | ||||||||
\(819\) | −18.6694 | + | 34.6333i | −0.652362 | + | 1.21019i | ||||
\(820\) | 31.9267 | − | 42.3687i | 1.11493 | − | 1.47958i | ||||
\(821\) | 8.37809 | + | 14.5113i | 0.292397 | + | 0.506447i | 0.974376 | − | 0.224925i | \(-0.0722137\pi\) |
−0.681979 | + | 0.731372i | \(0.738880\pi\) | |||||||
\(822\) | 12.2456 | − | 21.2100i | 0.427114 | − | 0.739783i | ||||
\(823\) | 1.84794 | + | 1.06691i | 0.0644153 | + | 0.0371902i | 0.531862 | − | 0.846831i | \(-0.321493\pi\) |
−0.467446 | + | 0.884021i | \(0.654826\pi\) | |||||||
\(824\) | −0.526091 | − | 0.911216i | −0.0183272 | − | 0.0317437i | ||||
\(825\) | 30.3284 | 1.05590 | ||||||||
\(826\) | 28.2142 | − | 17.4069i | 0.981697 | − | 0.605663i | ||||
\(827\) | − | 35.1537i | − | 1.22241i | −0.791471 | − | 0.611207i | \(-0.790684\pi\) | ||
0.791471 | − | 0.611207i | \(-0.209316\pi\) | |||||||
\(828\) | −55.2228 | − | 95.6487i | −1.91912 | − | 3.32402i | ||||
\(829\) | 25.9977 | − | 45.0293i | 0.902936 | − | 1.56393i | 0.0792725 | − | 0.996853i | \(-0.474740\pi\) |
0.823664 | − | 0.567079i | \(-0.191926\pi\) | |||||||
\(830\) | −42.8501 | + | 74.2186i | −1.48735 | + | 2.57616i | ||||
\(831\) | 2.94134 | − | 1.69819i | 0.102034 | − | 0.0589094i | ||||
\(832\) | − | 27.3259i | − | 0.947354i | ||||||
\(833\) | −5.98703 | + | 3.93954i | −0.207438 | + | 0.136497i | ||||
\(834\) | − | 25.2414i | − | 0.874037i | ||||||
\(835\) | 43.7705 | − | 25.2709i | 1.51474 | − | 0.874536i | ||||
\(836\) | 14.4200 | − | 24.9762i | 0.498726 | − | 0.863819i | ||||
\(837\) | −83.5352 | − | 48.2291i | −2.88740 | − | 1.66704i | ||||
\(838\) | −4.79024 | − | 8.29694i | −0.165476 | − | 0.286613i | ||||
\(839\) | − | 8.48899i | − | 0.293072i | −0.989205 | − | 0.146536i | \(-0.953188\pi\) | ||
0.989205 | − | 0.146536i | \(-0.0468125\pi\) | |||||||
\(840\) | −24.5673 | − | 39.8203i | −0.847652 | − | 1.37393i | ||||
\(841\) | 10.2865 | 0.354708 | ||||||||
\(842\) | 29.6757 | − | 17.1333i | 1.02269 | − | 0.590451i | ||||
\(843\) | 22.4070 | − | 38.8100i | 0.771737 | − | 1.33669i | ||||
\(844\) | −14.9507 | − | 8.63177i | −0.514623 | − | 0.297118i | ||||
\(845\) | 12.1506 | + | 21.0455i | 0.417993 | + | 0.723986i | ||||
\(846\) | − | 40.1362i | − | 1.37991i | ||||||
\(847\) | −5.49780 | − | 2.96364i | −0.188907 | − | 0.101832i | ||||
\(848\) | 17.2468i | 0.592257i | ||||||||
\(849\) | −1.54990 | + | 0.894834i | −0.0531924 | + | 0.0307106i | ||||
\(850\) | −6.40087 | − | 3.69555i | −0.219548 | − | 0.126756i | ||||
\(851\) | 16.7152 | − | 28.9517i | 0.572991 | − | 0.992450i | ||||
\(852\) | 11.0393 | + | 19.1207i | 0.378201 | + | 0.655063i | ||||
\(853\) | −23.0525 | −0.789301 | −0.394651 | − | 0.918831i | \(-0.629134\pi\) | ||||
−0.394651 | + | 0.918831i | \(0.629134\pi\) | |||||||
\(854\) | −1.70850 | − | 58.5055i | −0.0584637 | − | 2.00202i | ||||
\(855\) | − | 68.2706i | − | 2.33481i | ||||||
\(856\) | 15.8156 | + | 27.3934i | 0.540565 | + | 0.936286i | ||||
\(857\) | −2.02437 | + | 3.50631i | −0.0691512 | + | 0.119773i | −0.898528 | − | 0.438916i | \(-0.855362\pi\) |
0.829377 | + | 0.558690i | \(0.188696\pi\) | |||||||
\(858\) | −37.8777 | − | 21.8687i | −1.29312 | − | 0.746584i | ||||
\(859\) | −16.3649 | − | 28.3449i | −0.558364 | − | 0.967114i | −0.997633 | − | 0.0687589i | \(-0.978096\pi\) |
0.439270 | − | 0.898355i | \(-0.355237\pi\) | |||||||
\(860\) | −87.5960 | −2.98700 | ||||||||
\(861\) | 30.9358 | − | 43.6486i | 1.05429 | − | 1.48754i | ||||
\(862\) | −70.0170 | −2.38479 | ||||||||
\(863\) | 18.1642 | + | 31.4613i | 0.618317 | + | 1.07096i | 0.989793 | + | 0.142514i | \(0.0455185\pi\) |
−0.371476 | + | 0.928443i | \(0.621148\pi\) | |||||||
\(864\) | −77.3715 | − | 44.6705i | −2.63223 | − | 1.51972i | ||||
\(865\) | −1.36914 | + | 2.37142i | −0.0465522 | + | 0.0806308i | ||||
\(866\) | −30.8785 | − | 53.4831i | −1.04929 | − | 1.81743i | ||||
\(867\) | 50.3755i | 1.71084i | ||||||||
\(868\) | 51.5934 | + | 27.8119i | 1.75119 | + | 0.943997i | ||||
\(869\) | 40.9171 | 1.38802 | ||||||||
\(870\) | −43.3929 | − | 75.1587i | −1.47116 | − | 2.54812i | ||||
\(871\) | 14.2105 | − | 24.6132i | 0.481503 | − | 0.833988i | ||||
\(872\) | −3.67701 | − | 2.12292i | −0.124519 | − | 0.0718912i | ||||
\(873\) | −35.9011 | + | 20.7275i | −1.21507 | + | 0.701520i | ||||
\(874\) | 41.3550i | 1.39886i | ||||||||
\(875\) | 11.2176 | − | 6.92074i | 0.379224 | − | 0.233964i | ||||
\(876\) | − | 35.9376i | − | 1.21422i | ||||||
\(877\) | −15.0833 | − | 26.1250i | −0.509326 | − | 0.882178i | −0.999942 | − | 0.0108019i | \(-0.996562\pi\) |
0.490616 | − | 0.871376i | \(-0.336772\pi\) | |||||||
\(878\) | −42.7807 | − | 24.6994i | −1.44378 | − | 0.833565i | ||||
\(879\) | −15.3164 | + | 26.5288i | −0.516609 | + | 0.894794i | ||||
\(880\) | −10.6855 | + | 6.16926i | −0.360207 | + | 0.207966i | ||||
\(881\) | 31.8335 | 1.07250 | 0.536250 | − | 0.844059i | \(-0.319841\pi\) | ||||
0.536250 | + | 0.844059i | \(0.319841\pi\) | |||||||
\(882\) | −59.2792 | − | 90.0884i | −1.99604 | − | 3.03343i | ||||
\(883\) | − | 33.4481i | − | 1.12562i | −0.826587 | − | 0.562808i | \(-0.809721\pi\) | ||
0.826587 | − | 0.562808i | \(-0.190279\pi\) | |||||||
\(884\) | 3.14591 | + | 5.44888i | 0.105809 | + | 0.183266i | ||||
\(885\) | 44.5971 | + | 25.7481i | 1.49911 | + | 0.865514i | ||||
\(886\) | 5.25295 | − | 9.09838i | 0.176476 | − | 0.305666i | ||||
\(887\) | 31.0880 | − | 17.9486i | 1.04383 | − | 0.602657i | 0.122916 | − | 0.992417i | \(-0.460776\pi\) |
0.920916 | + | 0.389761i | \(0.127442\pi\) | |||||||
\(888\) | 37.4057i | 1.25525i | ||||||||
\(889\) | −21.9787 | + | 13.5599i | −0.737142 | + | 0.454783i | ||||
\(890\) | 25.2435i | 0.846165i | ||||||||
\(891\) | −47.6075 | + | 27.4862i | −1.59491 | + | 0.920823i | ||||
\(892\) | 13.0978 | − | 22.6861i | 0.438547 | − | 0.759585i | ||||
\(893\) | −4.43559 | + | 7.68268i | −0.148432 | + | 0.257091i | ||||
\(894\) | 81.5117 | + | 141.182i | 2.72616 | + | 4.72185i | ||||
\(895\) | 15.3044i | 0.511570i | ||||||||
\(896\) | 32.7620 | + | 17.6607i | 1.09450 | + | 0.590001i | ||||
\(897\) | 37.0213 | 1.23610 | ||||||||
\(898\) | 2.20862 | + | 3.82545i | 0.0737027 | + | 0.127657i | ||||
\(899\) | 28.8023 | + | 16.6290i | 0.960611 | + | 0.554609i | ||||
\(900\) | 32.8247 | − | 56.8541i | 1.09416 | − | 1.89514i | ||||
\(901\) | −6.04746 | − | 10.4745i | −0.201470 | − | 0.348957i | ||||
\(902\) | 33.2093 | + | 25.0247i | 1.10575 | + | 0.833231i | ||||
\(903\) | −88.2992 | + | 2.57855i | −2.93841 | + | 0.0858086i | ||||
\(904\) | 3.88467 | 0.129202 | ||||||||
\(905\) | −39.7773 | + | 22.9654i | −1.32224 | + | 0.763397i | ||||
\(906\) | −6.66126 | + | 11.5376i | −0.221306 | + | 0.383312i | ||||
\(907\) | −5.79965 | + | 10.0453i | −0.192574 | + | 0.333548i | −0.946103 | − | 0.323867i | \(-0.895017\pi\) |
0.753528 | + | 0.657415i | \(0.228350\pi\) | |||||||
\(908\) | 3.73023 | − | 2.15365i | 0.123792 | − | 0.0714713i | ||||
\(909\) | 26.9538i | 0.894000i | ||||||||
\(910\) | 35.8302 | − | 1.04633i | 1.18776 | − | 0.0346854i | ||||
\(911\) | 4.74784 | 0.157303 | 0.0786515 | − | 0.996902i | \(-0.474939\pi\) | ||||
0.0786515 | + | 0.996902i | \(0.474939\pi\) | |||||||
\(912\) | 7.84975 | + | 13.5962i | 0.259931 | + | 0.450214i | ||||
\(913\) | −34.3394 | − | 19.8259i | −1.13647 | − | 0.656140i | ||||
\(914\) | 32.1963 | + | 18.5885i | 1.06496 | + | 0.614854i | ||||
\(915\) | 78.7374 | − | 45.4591i | 2.60298 | − | 1.50283i | ||||
\(916\) | − | 1.71351i | − | 0.0566159i | ||||||
\(917\) | −28.6831 | − | 15.4619i | −0.947198 | − | 0.510596i | ||||
\(918\) | 28.3811 | 0.936717 | ||||||||
\(919\) | 31.0081 | − | 17.9026i | 1.02286 | − | 0.590551i | 0.107932 | − | 0.994158i | \(-0.465577\pi\) |
0.914932 | + | 0.403608i | \(0.132244\pi\) | |||||||
\(920\) | −15.3911 | + | 26.6581i | −0.507429 | + | 0.878892i | ||||
\(921\) | −14.9625 | − | 8.63859i | −0.493030 | − | 0.284651i | ||||
\(922\) | 10.3541 | + | 17.9338i | 0.340993 | + | 0.590617i | ||||
\(923\) | −5.17449 | −0.170320 | ||||||||
\(924\) | 60.2254 | − | 37.1564i | 1.98127 | − | 1.22235i | ||||
\(925\) | 19.8713 | 0.653363 | ||||||||
\(926\) | −40.3737 | + | 23.3098i | −1.32676 | + | 0.766007i | ||||
\(927\) | 1.88354 | − | 3.26239i | 0.0618636 | − | 0.107151i | ||||
\(928\) | 26.6771 | + | 15.4020i | 0.875719 | + | 0.505597i | ||||
\(929\) | 34.1325 | − | 19.7064i | 1.11985 | − | 0.646546i | 0.178487 | − | 0.983942i | \(-0.442880\pi\) |
0.941363 | + | 0.337397i | \(0.109546\pi\) | |||||||
\(930\) | 154.238i | 5.05766i | ||||||||
\(931\) | 1.39095 | + | 23.7954i | 0.0455866 | + | 0.779863i | ||||
\(932\) | − | 72.6667i | − | 2.38028i | ||||||
\(933\) | 21.7624 | + | 37.6935i | 0.712468 | + | 1.23403i | ||||
\(934\) | 2.08774 | − | 3.61607i | 0.0683128 | − | 0.118321i | ||||
\(935\) | 4.32641 | − | 7.49356i | 0.141489 | − | 0.245066i | ||||
\(936\) | −25.0824 | + | 14.4813i | −0.819843 | + | 0.473337i | ||||
\(937\) | − | 33.4230i | − | 1.09188i | −0.837824 | − | 0.545941i | \(-0.816172\pi\) | ||
0.837824 | − | 0.545941i | \(-0.183828\pi\) | |||||||
\(938\) | 40.9028 | + | 66.2980i | 1.33552 | + | 2.16471i | ||||
\(939\) | −3.72755 | −0.121644 | ||||||||
\(940\) | −18.6930 | + | 10.7924i | −0.609698 | + | 0.352009i | ||||
\(941\) | 4.53049 | − | 7.84705i | 0.147690 | − | 0.255806i | −0.782683 | − | 0.622420i | \(-0.786150\pi\) |
0.930373 | + | 0.366614i | \(0.119483\pi\) | |||||||
\(942\) | 0.0274879 | − | 0.0476105i | 0.000895605 | − | 0.00155123i | ||||
\(943\) | −34.9348 | − | 4.28925i | −1.13763 | − | 0.139677i | ||||
\(944\) | −8.27980 | −0.269484 | ||||||||
\(945\) | 45.2893 | − | 84.0154i | 1.47326 | − | 2.73302i | ||||
\(946\) | − | 68.6592i | − | 2.23230i | ||||||
\(947\) | −22.2267 | − | 38.4977i | −0.722270 | − | 1.25101i | −0.960088 | − | 0.279698i | \(-0.909766\pi\) |
0.237818 | − | 0.971310i | \(-0.423568\pi\) | |||||||
\(948\) | 63.3380 | − | 109.705i | 2.05712 | − | 3.56304i | ||||
\(949\) | 7.29414 | + | 4.21128i | 0.236778 | + | 0.136704i | ||||
\(950\) | −21.2883 | + | 12.2908i | −0.690685 | + | 0.398767i | ||||
\(951\) | 55.8485 | 1.81101 | ||||||||
\(952\) | −5.27348 | + | 0.153998i | −0.170914 | + | 0.00499111i | ||||
\(953\) | 24.2500 | 0.785533 | 0.392767 | − | 0.919638i | \(-0.371518\pi\) | ||||
0.392767 | + | 0.919638i | \(0.371518\pi\) | |||||||
\(954\) | 157.613 | − | 90.9977i | 5.10290 | − | 2.94616i | ||||
\(955\) | 4.39157 | + | 2.53548i | 0.142108 | + | 0.0820461i | ||||
\(956\) | 16.7318 | + | 9.66014i | 0.541147 | + | 0.312431i | ||||
\(957\) | 34.7744 | − | 20.0770i | 1.12410 | − | 0.648997i | ||||
\(958\) | − | 51.6567i | − | 1.66895i | ||||||
\(959\) | −9.28294 | + | 0.271084i | −0.299762 | + | 0.00875376i | ||||
\(960\) | 116.344i | 3.75499i | ||||||||
\(961\) | −14.0535 | − | 24.3414i | −0.453339 | − | 0.785206i | ||||
\(962\) | −24.8176 | − | 14.3284i | −0.800150 | − | 0.461967i | ||||
\(963\) | −56.6238 | + | 98.0753i | −1.82468 | + | 3.16043i | ||||
\(964\) | 9.54344 | + | 16.5297i | 0.307373 | + | 0.532386i | ||||
\(965\) | − | 7.48299i | − | 0.240886i | ||||||
\(966\) | −48.1499 | + | 89.3221i | −1.54920 | + | 2.87389i | ||||
\(967\) | 31.9719i | 1.02815i | 0.857746 | + | 0.514074i | \(0.171864\pi\) | ||||
−0.857746 | + | 0.514074i | \(0.828136\pi\) | |||||||
\(968\) | −2.29881 | − | 3.98166i | −0.0738866 | − | 0.127975i | ||||
\(969\) | −9.53479 | − | 5.50491i | −0.306302 | − | 0.176843i | ||||
\(970\) | 32.7080 | + | 18.8840i | 1.05019 | + | 0.606328i | ||||
\(971\) | −40.3412 | + | 23.2910i | −1.29461 | + | 0.747445i | −0.979468 | − | 0.201599i | \(-0.935386\pi\) |
−0.315144 | + | 0.949044i | \(0.602053\pi\) | |||||||
\(972\) | 61.7327i | 1.98008i | ||||||||
\(973\) | −8.14583 | + | 5.02560i | −0.261143 | + | 0.161113i | ||||
\(974\) | 3.56118 | 0.114108 | ||||||||
\(975\) | 11.0028 | + | 19.0574i | 0.352372 | + | 0.610326i | ||||
\(976\) | −7.30912 | + | 12.6598i | −0.233959 | + | 0.405229i | ||||
\(977\) | −14.8999 | − | 8.60243i | −0.476688 | − | 0.275216i | 0.242347 | − | 0.970190i | \(-0.422083\pi\) |
−0.719035 | + | 0.694973i | \(0.755416\pi\) | |||||||
\(978\) | −37.6262 | + | 21.7235i | −1.20315 | + | 0.694640i | ||||
\(979\) | −11.6797 | −0.373284 | ||||||||
\(980\) | −26.0178 | + | 51.8329i | −0.831108 | + | 1.65574i | ||||
\(981\) | − | 15.2012i | − | 0.485337i | ||||||
\(982\) | 5.61301 | + | 9.72201i | 0.179118 | + | 0.310242i | ||||
\(983\) | 5.84229 | − | 10.1192i | 0.186340 | − | 0.322751i | −0.757687 | − | 0.652618i | \(-0.773671\pi\) |
0.944027 | + | 0.329867i | \(0.107004\pi\) | |||||||
\(984\) | 36.2516 | − | 15.3882i | 1.15566 | − | 0.490557i | ||||
\(985\) | −33.3055 | − | 57.6868i | −1.06120 | − | 1.83805i | ||||
\(986\) | −9.78560 | −0.311637 | ||||||||
\(987\) | −18.5254 | + | 11.4293i | −0.589669 | + | 0.363799i | ||||
\(988\) | 20.9257 | 0.665734 | ||||||||
\(989\) | 29.0581 | + | 50.3301i | 0.923994 | + | 1.60040i | ||||
\(990\) | 112.757 | + | 65.1005i | 3.58367 | + | 2.06903i | ||||
\(991\) | −42.5164 | − | 24.5469i | −1.35058 | − | 0.779757i | −0.362249 | − | 0.932081i | \(-0.617991\pi\) |
−0.988331 | + | 0.152324i | \(0.951324\pi\) | |||||||
\(992\) | −27.3729 | − | 47.4112i | −0.869090 | − | 1.50531i | ||||
\(993\) | 55.8193 | 1.77137 | ||||||||
\(994\) | 6.72995 | − | 12.4846i | 0.213461 | − | 0.395988i | ||||
\(995\) | 22.8153i | 0.723294i | ||||||||
\(996\) | −106.312 | + | 61.3792i | −3.36862 | + | 1.94488i | ||||
\(997\) | −24.3943 | − | 14.0841i | −0.772576 | − | 0.446047i | 0.0612170 | − | 0.998124i | \(-0.480502\pi\) |
−0.833793 | + | 0.552078i | \(0.813835\pi\) | |||||||
\(998\) | −18.1873 | − | 10.5005i | −0.575710 | − | 0.332386i | ||||
\(999\) | −66.0811 | + | 38.1519i | −2.09071 | + | 1.20707i |
(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 | 287.2.j.a.81.3 | ✓ | 52 | |
7.2 | even | 3 | inner | 287.2.j.a.163.4 | yes | 52 | |
41.40 | even | 2 | inner | 287.2.j.a.81.4 | yes | 52 | |
287.163 | even | 6 | inner | 287.2.j.a.163.3 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.j.a.81.3 | ✓ | 52 | 1.1 | even | 1 | trivial | |
287.2.j.a.81.4 | yes | 52 | 41.40 | even | 2 | inner | |
287.2.j.a.163.3 | yes | 52 | 287.163 | even | 6 | inner | |
287.2.j.a.163.4 | yes | 52 | 7.2 | even | 3 | inner |