Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.7 | ||
Character | \(\chi\) | \(=\) | 300.239 |
Dual form | 300.2.r.a.59.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30486 | + | 0.545281i | −0.922678 | + | 0.385572i | ||||
\(3\) | 0.0653839 | − | 1.73082i | 0.0377494 | − | 0.999287i | ||||
\(4\) | 1.40534 | − | 1.42303i | 0.702669 | − | 0.711517i | ||||
\(5\) | 2.14307 | − | 0.638169i | 0.958409 | − | 0.285398i | ||||
\(6\) | 0.858463 | + | 2.29413i | 0.350466 | + | 0.936575i | ||||
\(7\) | 4.06778 | 1.53748 | 0.768738 | − | 0.639564i | \(-0.220885\pi\) | ||||
0.768738 | + | 0.639564i | \(0.220885\pi\) | |||||||
\(8\) | −1.05782 | + | 2.62317i | −0.373997 | + | 0.927430i | ||||
\(9\) | −2.99145 | − | 0.226335i | −0.997150 | − | 0.0754451i | ||||
\(10\) | −2.44843 | + | 2.00130i | −0.774262 | + | 0.632866i | ||||
\(11\) | 2.61080 | − | 1.89685i | 0.787185 | − | 0.571923i | −0.119942 | − | 0.992781i | \(-0.538271\pi\) |
0.907127 | + | 0.420858i | \(0.138271\pi\) | |||||||
\(12\) | −2.37112 | − | 2.52543i | −0.684484 | − | 0.729028i | ||||
\(13\) | −3.55251 | + | 4.88961i | −0.985289 | + | 1.35613i | −0.0513583 | + | 0.998680i | \(0.516355\pi\) |
−0.933931 | + | 0.357454i | \(0.883645\pi\) | |||||||
\(14\) | −5.30790 | + | 2.21808i | −1.41859 | + | 0.592807i | ||||
\(15\) | −0.964431 | − | 3.75098i | −0.249015 | − | 0.968500i | ||||
\(16\) | −0.0500482 | − | 3.99969i | −0.0125121 | − | 0.999922i | ||||
\(17\) | 0.528103 | + | 1.62533i | 0.128084 | + | 0.394201i | 0.994450 | − | 0.105207i | \(-0.0335507\pi\) |
−0.866367 | + | 0.499409i | \(0.833551\pi\) | |||||||
\(18\) | 4.02685 | − | 1.33584i | 0.949138 | − | 0.314861i | ||||
\(19\) | 2.49211 | − | 0.809734i | 0.571728 | − | 0.185766i | −0.00886323 | − | 0.999961i | \(-0.502821\pi\) |
0.580592 | + | 0.814195i | \(0.302821\pi\) | |||||||
\(20\) | 2.10360 | − | 3.94650i | 0.470379 | − | 0.882464i | ||||
\(21\) | 0.265967 | − | 7.04058i | 0.0580388 | − | 1.53638i | ||||
\(22\) | −2.37242 | + | 3.89875i | −0.505801 | + | 0.831217i | ||||
\(23\) | −2.71745 | − | 3.74024i | −0.566627 | − | 0.779895i | 0.425523 | − | 0.904947i | \(-0.360090\pi\) |
−0.992150 | + | 0.125053i | \(0.960090\pi\) | |||||||
\(24\) | 4.47106 | + | 2.00241i | 0.912651 | + | 0.408740i | ||||
\(25\) | 4.18548 | − | 2.73528i | 0.837096 | − | 0.547056i | ||||
\(26\) | 1.96933 | − | 8.31739i | 0.386218 | − | 1.63117i | ||||
\(27\) | −0.587337 | + | 5.16285i | −0.113033 | + | 0.993591i | ||||
\(28\) | 5.71660 | − | 5.78858i | 1.08034 | − | 1.09394i | ||||
\(29\) | −2.01761 | − | 0.655560i | −0.374660 | − | 0.121734i | 0.115633 | − | 0.993292i | \(-0.463110\pi\) |
−0.490293 | + | 0.871558i | \(0.663110\pi\) | |||||||
\(30\) | 3.30379 | + | 4.36864i | 0.603187 | + | 0.797600i | ||||
\(31\) | −1.77466 | + | 0.576623i | −0.318739 | + | 0.103565i | −0.464017 | − | 0.885826i | \(-0.653592\pi\) |
0.145278 | + | 0.989391i | \(0.453592\pi\) | |||||||
\(32\) | 2.24626 | + | 5.19176i | 0.397086 | + | 0.917781i | ||||
\(33\) | −3.11240 | − | 4.64283i | −0.541800 | − | 0.808213i | ||||
\(34\) | −1.57536 | − | 1.83287i | −0.270173 | − | 0.314335i | ||||
\(35\) | 8.71752 | − | 2.59593i | 1.47353 | − | 0.438792i | ||||
\(36\) | −4.52608 | + | 3.93886i | −0.754347 | + | 0.656476i | ||||
\(37\) | −1.36655 | + | 1.88089i | −0.224659 | + | 0.309216i | −0.906436 | − | 0.422344i | \(-0.861208\pi\) |
0.681777 | + | 0.731560i | \(0.261208\pi\) | |||||||
\(38\) | −2.81033 | + | 2.41549i | −0.455895 | + | 0.391844i | ||||
\(39\) | 8.23074 | + | 6.46845i | 1.31797 | + | 1.03578i | ||||
\(40\) | −0.592960 | + | 6.29670i | −0.0937553 | + | 0.995595i | ||||
\(41\) | 4.31762 | − | 5.94269i | 0.674299 | − | 0.928093i | −0.325549 | − | 0.945525i | \(-0.605549\pi\) |
0.999848 | + | 0.0174325i | \(0.00554920\pi\) | |||||||
\(42\) | 3.49204 | + | 9.33202i | 0.538833 | + | 1.43996i | ||||
\(43\) | −5.20326 | −0.793489 | −0.396745 | − | 0.917929i | \(-0.629860\pi\) | ||||
−0.396745 | + | 0.917929i | \(0.629860\pi\) | |||||||
\(44\) | 0.969765 | − | 6.38097i | 0.146198 | − | 0.961968i | ||||
\(45\) | −6.55532 | + | 1.42400i | −0.977209 | + | 0.212277i | ||||
\(46\) | 5.58538 | + | 3.39874i | 0.823519 | + | 0.501117i | ||||
\(47\) | −3.27488 | − | 1.06407i | −0.477690 | − | 0.155211i | 0.0602685 | − | 0.998182i | \(-0.480804\pi\) |
−0.537959 | + | 0.842971i | \(0.680804\pi\) | |||||||
\(48\) | −6.92600 | − | 0.174891i | −0.999681 | − | 0.0252433i | ||||
\(49\) | 9.54682 | 1.36383 | ||||||||
\(50\) | −3.96999 | + | 5.85143i | −0.561441 | + | 0.827517i | ||||
\(51\) | 2.84768 | − | 0.807778i | 0.398755 | − | 0.113112i | ||||
\(52\) | 1.96560 | + | 11.9269i | 0.272580 | + | 1.65396i | ||||
\(53\) | −2.20348 | + | 6.78162i | −0.302672 | + | 0.931528i | 0.677864 | + | 0.735187i | \(0.262906\pi\) |
−0.980536 | + | 0.196340i | \(0.937094\pi\) | |||||||
\(54\) | −2.04881 | − | 7.05708i | −0.278807 | − | 0.960347i | ||||
\(55\) | 4.38460 | − | 5.73122i | 0.591219 | − | 0.772797i | ||||
\(56\) | −4.30299 | + | 10.6705i | −0.575011 | + | 1.42590i | ||||
\(57\) | −1.23856 | − | 4.36632i | −0.164051 | − | 0.578333i | ||||
\(58\) | 2.99017 | − | 0.244745i | 0.392628 | − | 0.0321366i | ||||
\(59\) | −9.81893 | − | 7.13387i | −1.27832 | − | 0.928751i | −0.278815 | − | 0.960345i | \(-0.589942\pi\) |
−0.999501 | + | 0.0315939i | \(0.989942\pi\) | |||||||
\(60\) | −6.69313 | − | 3.89898i | −0.864079 | − | 0.503356i | ||||
\(61\) | −4.99307 | + | 3.62768i | −0.639297 | + | 0.464476i | −0.859609 | − | 0.510953i | \(-0.829293\pi\) |
0.220312 | + | 0.975430i | \(0.429293\pi\) | |||||||
\(62\) | 2.00127 | − | 1.72010i | 0.254162 | − | 0.218453i | ||||
\(63\) | −12.1686 | − | 0.920681i | −1.53309 | − | 0.115995i | ||||
\(64\) | −5.76202 | − | 5.54969i | −0.720253 | − | 0.693712i | ||||
\(65\) | −4.49287 | + | 12.7459i | −0.557272 | + | 1.58093i | ||||
\(66\) | 6.59291 | + | 4.36113i | 0.811531 | + | 0.536818i | ||||
\(67\) | 0.983181 | + | 3.02592i | 0.120115 | + | 0.369675i | 0.992979 | − | 0.118287i | \(-0.0377404\pi\) |
−0.872865 | + | 0.487962i | \(0.837740\pi\) | |||||||
\(68\) | 3.05507 | + | 1.53263i | 0.370481 | + | 0.185859i | ||||
\(69\) | −6.65135 | + | 4.45885i | −0.800729 | + | 0.536782i | ||||
\(70\) | −9.95967 | + | 8.14083i | −1.19041 | + | 0.973015i | ||||
\(71\) | −1.67431 | + | 5.15300i | −0.198704 | + | 0.611548i | 0.801209 | + | 0.598384i | \(0.204190\pi\) |
−0.999913 | + | 0.0131640i | \(0.995810\pi\) | |||||||
\(72\) | 3.75814 | − | 7.60765i | 0.442901 | − | 0.896571i | ||||
\(73\) | −1.58017 | − | 2.17491i | −0.184944 | − | 0.254554i | 0.706470 | − | 0.707743i | \(-0.250286\pi\) |
−0.891415 | + | 0.453189i | \(0.850286\pi\) | |||||||
\(74\) | 0.757544 | − | 3.19946i | 0.0880627 | − | 0.371929i | ||||
\(75\) | −4.46060 | − | 7.42314i | −0.515066 | − | 0.857150i | ||||
\(76\) | 2.34997 | − | 4.68430i | 0.269560 | − | 0.537326i | ||||
\(77\) | 10.6201 | − | 7.71598i | 1.21028 | − | 0.879318i | ||||
\(78\) | −14.2671 | − | 3.95238i | −1.61543 | − | 0.447518i | ||||
\(79\) | 2.42335 | + | 0.787395i | 0.272648 | + | 0.0885888i | 0.442150 | − | 0.896941i | \(-0.354216\pi\) |
−0.169502 | + | 0.985530i | \(0.554216\pi\) | |||||||
\(80\) | −2.65973 | − | 8.53966i | −0.297367 | − | 0.954763i | ||||
\(81\) | 8.89754 | + | 1.35414i | 0.988616 | + | 0.150460i | ||||
\(82\) | −2.39347 | + | 10.1087i | −0.264314 | + | 1.11632i | ||||
\(83\) | 5.77909 | − | 1.87774i | 0.634337 | − | 0.206109i | 0.0258418 | − | 0.999666i | \(-0.491773\pi\) |
0.608495 | + | 0.793557i | \(0.291773\pi\) | |||||||
\(84\) | −9.64520 | − | 10.2729i | −1.05238 | − | 1.12086i | ||||
\(85\) | 2.16900 | + | 3.14618i | 0.235261 | + | 0.341251i | ||||
\(86\) | 6.78954 | − | 2.83723i | 0.732135 | − | 0.305947i | ||||
\(87\) | −1.26657 | + | 3.44924i | −0.135791 | + | 0.369798i | ||||
\(88\) | 2.21401 | + | 8.85509i | 0.236014 | + | 0.943956i | ||||
\(89\) | 4.38993 | + | 6.04222i | 0.465331 | + | 0.640474i | 0.975604 | − | 0.219539i | \(-0.0704554\pi\) |
−0.510272 | + | 0.860013i | \(0.670455\pi\) | |||||||
\(90\) | 7.77732 | − | 5.43261i | 0.819802 | − | 0.572648i | ||||
\(91\) | −14.4508 | + | 19.8899i | −1.51486 | + | 2.08502i | ||||
\(92\) | −9.14143 | − | 1.38929i | −0.953060 | − | 0.144844i | ||||
\(93\) | 0.881994 | + | 3.10932i | 0.0914585 | + | 0.322421i | ||||
\(94\) | 4.85349 | − | 0.397258i | 0.500599 | − | 0.0409740i | ||||
\(95\) | 4.82401 | − | 3.32570i | 0.494933 | − | 0.341210i | ||||
\(96\) | 9.13284 | − | 3.54840i | 0.932117 | − | 0.362157i | ||||
\(97\) | −14.9322 | − | 4.85176i | −1.51613 | − | 0.492622i | −0.571460 | − | 0.820630i | \(-0.693623\pi\) |
−0.944675 | + | 0.328008i | \(0.893623\pi\) | |||||||
\(98\) | −12.4573 | + | 5.20569i | −1.25838 | + | 0.525854i | ||||
\(99\) | −8.23939 | + | 5.08343i | −0.828090 | + | 0.510904i | ||||
\(100\) | 1.98962 | − | 9.80007i | 0.198962 | − | 0.980007i | ||||
\(101\) | 15.8548i | 1.57762i | 0.614640 | + | 0.788808i | \(0.289301\pi\) | ||||
−0.614640 | + | 0.788808i | \(0.710699\pi\) | |||||||
\(102\) | −3.27537 | + | 2.60683i | −0.324310 | + | 0.258114i | ||||
\(103\) | 1.20914 | − | 3.72134i | 0.119140 | − | 0.366674i | −0.873648 | − | 0.486558i | \(-0.838252\pi\) |
0.992788 | + | 0.119884i | \(0.0382522\pi\) | |||||||
\(104\) | −9.06835 | − | 14.4912i | −0.889225 | − | 1.42098i | ||||
\(105\) | −3.92309 | − | 15.2582i | −0.382855 | − | 1.48904i | ||||
\(106\) | −0.822642 | − | 10.0506i | −0.0799021 | − | 0.976201i | ||||
\(107\) | 20.0414i | 1.93748i | 0.248083 | + | 0.968739i | \(0.420199\pi\) | ||||
−0.248083 | + | 0.968739i | \(0.579801\pi\) | |||||||
\(108\) | 6.52150 | + | 8.09135i | 0.627532 | + | 0.778591i | ||||
\(109\) | 3.65735 | + | 2.65722i | 0.350311 | + | 0.254516i | 0.749000 | − | 0.662571i | \(-0.230535\pi\) |
−0.398688 | + | 0.917086i | \(0.630535\pi\) | |||||||
\(110\) | −2.59618 | + | 9.86929i | −0.247536 | + | 0.941000i | ||||
\(111\) | 3.16613 | + | 2.48822i | 0.300515 | + | 0.236172i | ||||
\(112\) | −0.203585 | − | 16.2698i | −0.0192370 | − | 1.53736i | ||||
\(113\) | 5.67028 | + | 4.11970i | 0.533415 | + | 0.387549i | 0.821634 | − | 0.570016i | \(-0.193063\pi\) |
−0.288218 | + | 0.957565i | \(0.593063\pi\) | |||||||
\(114\) | 3.99702 | + | 5.02209i | 0.374355 | + | 0.470362i | ||||
\(115\) | −8.21058 | − | 6.28141i | −0.765641 | − | 0.585744i | ||||
\(116\) | −3.76830 | + | 1.94984i | −0.349878 | + | 0.181038i | ||||
\(117\) | 11.7338 | − | 13.8230i | 1.08479 | − | 1.27793i | ||||
\(118\) | 16.7023 | + | 3.95466i | 1.53757 | + | 0.364056i | ||||
\(119\) | 2.14820 | + | 6.61149i | 0.196926 | + | 0.606074i | ||||
\(120\) | 10.8597 | + | 1.43801i | 0.991346 | + | 0.131272i | ||||
\(121\) | −0.180988 | + | 0.557023i | −0.0164534 | + | 0.0506385i | ||||
\(122\) | 4.53717 | − | 7.45625i | 0.410776 | − | 0.675057i | ||||
\(123\) | −10.0034 | − | 7.86156i | −0.901977 | − | 0.708853i | ||||
\(124\) | −1.67345 | + | 3.33575i | −0.150280 | + | 0.299560i | ||||
\(125\) | 7.22420 | − | 8.53294i | 0.646152 | − | 0.763209i | ||||
\(126\) | 16.3803 | − | 5.43391i | 1.45928 | − | 0.484091i | ||||
\(127\) | 17.1586 | − | 12.4665i | 1.52258 | − | 1.10622i | 0.562393 | − | 0.826870i | \(-0.309881\pi\) |
0.960189 | − | 0.279350i | \(-0.0901190\pi\) | |||||||
\(128\) | 10.5448 | + | 4.09967i | 0.932037 | + | 0.362363i | ||||
\(129\) | −0.340209 | + | 9.00588i | −0.0299538 | + | 0.792923i | ||||
\(130\) | −1.08749 | − | 19.0815i | −0.0953792 | − | 1.67356i | ||||
\(131\) | 0.0295118 | + | 0.0908279i | 0.00257845 | + | 0.00793567i | 0.952337 | − | 0.305046i | \(-0.0986720\pi\) |
−0.949759 | + | 0.312982i | \(0.898672\pi\) | |||||||
\(132\) | −10.9809 | − | 2.09570i | −0.955763 | − | 0.182407i | ||||
\(133\) | 10.1373 | − | 3.29382i | 0.879018 | − | 0.285610i | ||||
\(134\) | −2.93289 | − | 3.41230i | −0.253363 | − | 0.294778i | ||||
\(135\) | 2.03607 | + | 11.4392i | 0.175237 | + | 0.984526i | ||||
\(136\) | −4.82216 | − | 0.334012i | −0.413497 | − | 0.0286413i | ||||
\(137\) | 11.7801 | + | 8.55876i | 1.00644 | + | 0.731224i | 0.963460 | − | 0.267851i | \(-0.0863137\pi\) |
0.0429837 | + | 0.999076i | \(0.486314\pi\) | |||||||
\(138\) | 6.24779 | − | 9.44504i | 0.531847 | − | 0.804016i | ||||
\(139\) | −0.880689 | − | 1.21216i | −0.0746991 | − | 0.102814i | 0.770033 | − | 0.638005i | \(-0.220240\pi\) |
−0.844732 | + | 0.535190i | \(0.820240\pi\) | |||||||
\(140\) | 8.55698 | − | 16.0535i | 0.723196 | − | 1.35677i | ||||
\(141\) | −2.05584 | + | 5.59864i | −0.173133 | + | 0.471490i | ||||
\(142\) | −0.625082 | − | 7.63693i | −0.0524557 | − | 0.640877i | ||||
\(143\) | 19.5044i | 1.63104i | ||||||||
\(144\) | −0.755553 | + | 11.9762i | −0.0629628 | + | 0.998016i | ||||
\(145\) | −4.74223 | − | 0.117335i | −0.393820 | − | 0.00974418i | ||||
\(146\) | 3.24784 | + | 1.97633i | 0.268793 | + | 0.163562i | ||||
\(147\) | 0.624209 | − | 16.5238i | 0.0514839 | − | 1.36286i | ||||
\(148\) | 0.756109 | + | 4.58793i | 0.0621518 | + | 0.377125i | ||||
\(149\) | − | 13.1430i | − | 1.07672i | −0.842715 | − | 0.538359i | \(-0.819044\pi\) | ||
0.842715 | − | 0.538359i | \(-0.180956\pi\) | |||||||
\(150\) | 9.86817 | + | 7.25391i | 0.805733 | + | 0.592279i | ||||
\(151\) | 5.69211i | 0.463218i | 0.972809 | + | 0.231609i | \(0.0743989\pi\) | ||||
−0.972809 | + | 0.231609i | \(0.925601\pi\) | |||||||
\(152\) | −0.512137 | + | 7.39377i | −0.0415398 | + | 0.599714i | ||||
\(153\) | −1.21192 | − | 4.98163i | −0.0979781 | − | 0.402741i | ||||
\(154\) | −9.65046 | + | 15.8593i | −0.777656 | + | 1.27798i | ||||
\(155\) | −3.43524 | + | 2.36828i | −0.275925 | + | 0.190225i | ||||
\(156\) | 20.7718 | − | 2.62227i | 1.66307 | − | 0.209949i | ||||
\(157\) | 6.78163i | 0.541233i | 0.962687 | + | 0.270617i | \(0.0872276\pi\) | ||||
−0.962687 | + | 0.270617i | \(0.912772\pi\) | |||||||
\(158\) | −3.59149 | + | 0.293964i | −0.285724 | + | 0.0233865i | ||||
\(159\) | 11.5937 | + | 4.25723i | 0.919438 | + | 0.337621i | ||||
\(160\) | 8.12710 | + | 9.69279i | 0.642504 | + | 0.766283i | ||||
\(161\) | −11.0540 | − | 15.2145i | −0.871175 | − | 1.19907i | ||||
\(162\) | −12.3485 | + | 3.08469i | −0.970187 | + | 0.242356i | ||||
\(163\) | −12.0385 | − | 8.74651i | −0.942931 | − | 0.685079i | 0.00619340 | − | 0.999981i | \(-0.498029\pi\) |
−0.949124 | + | 0.314901i | \(0.898029\pi\) | |||||||
\(164\) | −2.38893 | − | 14.4956i | −0.186544 | − | 1.13192i | ||||
\(165\) | −9.63300 | − | 7.96366i | −0.749928 | − | 0.619970i | ||||
\(166\) | −6.51703 | + | 5.60142i | −0.505819 | + | 0.434754i | ||||
\(167\) | 13.2184 | − | 4.29493i | 1.02287 | − | 0.332352i | 0.250904 | − | 0.968012i | \(-0.419272\pi\) |
0.771969 | + | 0.635660i | \(0.219272\pi\) | |||||||
\(168\) | 18.1873 | + | 8.14536i | 1.40318 | + | 0.628428i | ||||
\(169\) | −7.27075 | − | 22.3771i | −0.559288 | − | 1.72131i | ||||
\(170\) | −4.54580 | − | 2.92262i | −0.348647 | − | 0.224155i | ||||
\(171\) | −7.63828 | + | 1.85823i | −0.584114 | + | 0.142102i | ||||
\(172\) | −7.31233 | + | 7.40441i | −0.557560 | + | 0.564581i | ||||
\(173\) | −10.6950 | + | 7.77036i | −0.813125 | + | 0.590770i | −0.914735 | − | 0.404055i | \(-0.867601\pi\) |
0.101610 | + | 0.994824i | \(0.467601\pi\) | |||||||
\(174\) | −0.228100 | − | 5.19143i | −0.0172922 | − | 0.393561i | ||||
\(175\) | 17.0256 | − | 11.1265i | 1.28701 | − | 0.841085i | ||||
\(176\) | −7.71749 | − | 10.3474i | −0.581728 | − | 0.779967i | ||||
\(177\) | −12.9894 | + | 16.5283i | −0.976345 | + | 1.24234i | ||||
\(178\) | −9.02296 | − | 5.49053i | −0.676299 | − | 0.411532i | ||||
\(179\) | 2.57158 | − | 7.91451i | 0.192209 | − | 0.591559i | −0.807789 | − | 0.589472i | \(-0.799336\pi\) |
0.999998 | − | 0.00208652i | \(-0.000664160\pi\) | |||||||
\(180\) | −7.18604 | + | 11.3296i | −0.535616 | + | 0.844462i | ||||
\(181\) | 2.91403 | + | 8.96846i | 0.216598 | + | 0.666621i | 0.999036 | + | 0.0438922i | \(0.0139758\pi\) |
−0.782438 | + | 0.622728i | \(0.786024\pi\) | |||||||
\(182\) | 8.01081 | − | 33.8333i | 0.593800 | − | 2.50789i | ||||
\(183\) | 5.95238 | + | 8.87928i | 0.440012 | + | 0.656375i | ||||
\(184\) | 12.6859 | − | 3.17181i | 0.935215 | − | 0.233829i | ||||
\(185\) | −1.72828 | + | 4.90296i | −0.127065 | + | 0.360473i | ||||
\(186\) | −2.84633 | − | 3.57630i | −0.208703 | − | 0.262227i | ||||
\(187\) | 4.46179 | + | 3.24168i | 0.326278 | + | 0.237055i | ||||
\(188\) | −6.11652 | + | 3.16488i | −0.446093 | + | 0.230823i | ||||
\(189\) | −2.38916 | + | 21.0013i | −0.173786 | + | 1.52762i | ||||
\(190\) | −4.48123 | + | 6.97002i | −0.325103 | + | 0.505659i | ||||
\(191\) | −2.50622 | − | 1.82087i | −0.181343 | − | 0.131754i | 0.493410 | − | 0.869797i | \(-0.335750\pi\) |
−0.674754 | + | 0.738043i | \(0.735750\pi\) | |||||||
\(192\) | −9.98224 | + | 9.61014i | −0.720406 | + | 0.693552i | ||||
\(193\) | − | 8.14234i | − | 0.586099i | −0.956097 | − | 0.293049i | \(-0.905330\pi\) | ||
0.956097 | − | 0.293049i | \(-0.0946700\pi\) | |||||||
\(194\) | 22.1301 | − | 1.81134i | 1.58885 | − | 0.130047i | ||||
\(195\) | 21.7670 | + | 8.60971i | 1.55877 | + | 0.616554i | ||||
\(196\) | 13.4165 | − | 13.5854i | 0.958322 | − | 0.970389i | ||||
\(197\) | −1.43924 | + | 4.42952i | −0.102541 | + | 0.315590i | −0.989146 | − | 0.146939i | \(-0.953058\pi\) |
0.886604 | + | 0.462529i | \(0.153058\pi\) | |||||||
\(198\) | 7.97939 | − | 11.1260i | 0.567070 | − | 0.790688i | ||||
\(199\) | 14.7455i | 1.04528i | 0.852553 | + | 0.522641i | \(0.175053\pi\) | ||||
−0.852553 | + | 0.522641i | \(0.824947\pi\) | |||||||
\(200\) | 2.74760 | + | 13.8727i | 0.194285 | + | 0.980945i | ||||
\(201\) | 5.30160 | − | 1.50386i | 0.373946 | − | 0.106074i | ||||
\(202\) | −8.64534 | − | 20.6884i | −0.608284 | − | 1.45563i | ||||
\(203\) | −8.20717 | − | 2.66667i | −0.576031 | − | 0.187164i | ||||
\(204\) | 2.85246 | − | 5.18755i | 0.199712 | − | 0.363201i | ||||
\(205\) | 5.46051 | − | 15.4910i | 0.381378 | − | 1.08194i | ||||
\(206\) | 0.451415 | + | 5.51516i | 0.0314516 | + | 0.384259i | ||||
\(207\) | 7.28256 | + | 11.8038i | 0.506173 | + | 0.820421i | ||||
\(208\) | 19.7347 | + | 13.9642i | 1.36836 | + | 0.968244i | ||||
\(209\) | 4.97043 | − | 6.84121i | 0.343812 | − | 0.473217i | ||||
\(210\) | 13.4391 | + | 17.7706i | 0.927385 | + | 1.22629i | ||||
\(211\) | −11.4404 | − | 15.7463i | −0.787587 | − | 1.08402i | −0.994404 | − | 0.105641i | \(-0.966310\pi\) |
0.206817 | − | 0.978380i | \(-0.433690\pi\) | |||||||
\(212\) | 6.55384 | + | 12.6661i | 0.450119 | + | 0.869912i | ||||
\(213\) | 8.80942 | + | 3.23485i | 0.603611 | + | 0.221648i | ||||
\(214\) | −10.9282 | − | 26.1513i | −0.747036 | − | 1.78767i | ||||
\(215\) | −11.1509 | + | 3.32056i | −0.760487 | + | 0.226460i | ||||
\(216\) | −12.9217 | − | 7.00207i | −0.879212 | − | 0.476430i | ||||
\(217\) | −7.21893 | + | 2.34557i | −0.490053 | + | 0.159228i | ||||
\(218\) | −6.22128 | − | 1.47303i | −0.421358 | − | 0.0997662i | ||||
\(219\) | −3.86769 | + | 2.59277i | −0.261354 | + | 0.175203i | ||||
\(220\) | −1.99387 | − | 14.2937i | −0.134427 | − | 0.963683i | ||||
\(221\) | −9.82333 | − | 3.19179i | −0.660789 | − | 0.214703i | ||||
\(222\) | −5.48814 | − | 1.52036i | −0.368340 | − | 0.102040i | ||||
\(223\) | −10.2193 | + | 7.42479i | −0.684338 | + | 0.497200i | −0.874794 | − | 0.484495i | \(-0.839003\pi\) |
0.190456 | + | 0.981696i | \(0.439003\pi\) | |||||||
\(224\) | 9.13728 | + | 21.1189i | 0.610510 | + | 1.41107i | ||||
\(225\) | −13.1397 | + | 7.23513i | −0.875983 | + | 0.482342i | ||||
\(226\) | −9.64534 | − | 2.28375i | −0.641598 | − | 0.151913i | ||||
\(227\) | −13.7837 | − | 18.9716i | −0.914856 | − | 1.25919i | −0.965481 | − | 0.260473i | \(-0.916121\pi\) |
0.0506254 | − | 0.998718i | \(-0.483879\pi\) | |||||||
\(228\) | −7.95401 | − | 4.37365i | −0.526768 | − | 0.289652i | ||||
\(229\) | 2.96567 | − | 9.12739i | 0.195977 | − | 0.603155i | −0.803987 | − | 0.594647i | \(-0.797292\pi\) |
0.999964 | − | 0.00850807i | \(-0.00270824\pi\) | |||||||
\(230\) | 14.1388 | + | 3.71931i | 0.932286 | + | 0.245244i | ||||
\(231\) | −12.6606 | − | 18.8860i | −0.833004 | − | 1.24261i | ||||
\(232\) | 3.85391 | − | 4.59905i | 0.253022 | − | 0.301943i | ||||
\(233\) | −3.17857 | − | 9.78263i | −0.208235 | − | 0.640881i | −0.999565 | − | 0.0294921i | \(-0.990611\pi\) |
0.791330 | − | 0.611389i | \(-0.209389\pi\) | |||||||
\(234\) | −7.77368 | + | 24.4353i | −0.508181 | + | 1.59739i | ||||
\(235\) | −7.69734 | − | 0.190453i | −0.502119 | − | 0.0124238i | ||||
\(236\) | −23.9507 | + | 3.94716i | −1.55905 | + | 0.256939i | ||||
\(237\) | 1.52128 | − | 4.14289i | 0.0988180 | − | 0.269110i | ||||
\(238\) | −6.40823 | − | 7.45572i | −0.415384 | − | 0.483283i | ||||
\(239\) | −23.5392 | + | 17.1022i | −1.52262 | + | 1.10625i | −0.562453 | + | 0.826829i | \(0.690142\pi\) |
−0.960169 | + | 0.279421i | \(0.909858\pi\) | |||||||
\(240\) | −14.9545 | + | 4.04515i | −0.965308 | + | 0.261114i | ||||
\(241\) | 19.3133 | + | 14.0319i | 1.24408 | + | 0.903876i | 0.997863 | − | 0.0653387i | \(-0.0208128\pi\) |
0.246216 | + | 0.969215i | \(0.420813\pi\) | |||||||
\(242\) | −0.0675695 | − | 0.825529i | −0.00434353 | − | 0.0530670i | ||||
\(243\) | 2.92553 | − | 15.3115i | 0.187673 | − | 0.982232i | ||||
\(244\) | −1.85465 | + | 12.2034i | −0.118732 | + | 0.781244i | ||||
\(245\) | 20.4595 | − | 6.09249i | 1.30711 | − | 0.389235i | ||||
\(246\) | 17.3398 | + | 4.80360i | 1.10555 | + | 0.306267i | ||||
\(247\) | −4.89395 | + | 15.0620i | −0.311394 | + | 0.958374i | ||||
\(248\) | 0.364699 | − | 5.26520i | 0.0231584 | − | 0.334341i | ||||
\(249\) | −2.87216 | − | 10.1253i | −0.182016 | − | 0.641666i | ||||
\(250\) | −4.77375 | + | 15.0735i | −0.301918 | + | 0.953334i | ||||
\(251\) | −15.2271 | −0.961129 | −0.480564 | − | 0.876959i | \(-0.659568\pi\) | ||||
−0.480564 | + | 0.876959i | \(0.659568\pi\) | |||||||
\(252\) | −18.4111 | + | 16.0224i | −1.15979 | + | 1.00932i | ||||
\(253\) | −14.1894 | − | 4.61042i | −0.892080 | − | 0.289854i | ||||
\(254\) | −15.5919 | + | 25.6233i | −0.978326 | + | 1.60775i | ||||
\(255\) | 5.58728 | − | 3.54843i | 0.349889 | − | 0.222211i | ||||
\(256\) | −15.9950 | + | 0.400355i | −0.999687 | + | 0.0250222i | ||||
\(257\) | −14.0885 | −0.878814 | −0.439407 | − | 0.898288i | \(-0.644811\pi\) | ||||
−0.439407 | + | 0.898288i | \(0.644811\pi\) | |||||||
\(258\) | −4.46680 | − | 11.9370i | −0.278091 | − | 0.743162i | ||||
\(259\) | −5.55881 | + | 7.65104i | −0.345408 | + | 0.475413i | ||||
\(260\) | 11.8238 | + | 24.3058i | 0.733281 | + | 1.50738i | ||||
\(261\) | 5.88719 | + | 2.41773i | 0.364408 | + | 0.149654i | ||||
\(262\) | −0.0880355 | − | 0.102426i | −0.00543885 | − | 0.00632789i | ||||
\(263\) | 15.1053 | − | 20.7907i | 0.931436 | − | 1.28201i | −0.0278614 | − | 0.999612i | \(-0.508870\pi\) |
0.959297 | − | 0.282399i | \(-0.0911303\pi\) | |||||||
\(264\) | 15.4713 | − | 3.25306i | 0.952193 | − | 0.200212i | ||||
\(265\) | −0.394390 | + | 15.9397i | −0.0242272 | + | 0.979166i | ||||
\(266\) | −11.4318 | + | 9.82568i | −0.700928 | + | 0.602451i | ||||
\(267\) | 10.7450 | − | 7.20309i | 0.657583 | − | 0.440822i | ||||
\(268\) | 5.68769 | + | 2.85334i | 0.347431 | + | 0.174296i | ||||
\(269\) | 4.54996 | − | 1.47837i | 0.277416 | − | 0.0901379i | −0.167005 | − | 0.985956i | \(-0.553410\pi\) |
0.444421 | + | 0.895818i | \(0.353410\pi\) | |||||||
\(270\) | −8.89434 | − | 13.8163i | −0.541293 | − | 0.840834i | ||||
\(271\) | 28.4163 | + | 9.23302i | 1.72617 | + | 0.560866i | 0.992887 | − | 0.119059i | \(-0.0379878\pi\) |
0.733281 | + | 0.679925i | \(0.237988\pi\) | |||||||
\(272\) | 6.47439 | − | 2.19359i | 0.392568 | − | 0.133006i | ||||
\(273\) | 33.4808 | + | 26.3122i | 2.02635 | + | 1.59249i | ||||
\(274\) | −20.0384 | − | 4.74454i | −1.21056 | − | 0.286628i | ||||
\(275\) | 5.73901 | − | 15.0805i | 0.346075 | − | 0.909389i | ||||
\(276\) | −3.00231 | + | 15.7313i | −0.180718 | + | 0.946912i | ||||
\(277\) | 3.46129 | + | 4.76406i | 0.207969 | + | 0.286245i | 0.900241 | − | 0.435392i | \(-0.143390\pi\) |
−0.692272 | + | 0.721637i | \(0.743390\pi\) | |||||||
\(278\) | 1.81015 | + | 1.10149i | 0.108566 | + | 0.0660628i | ||||
\(279\) | 5.43932 | − | 1.32327i | 0.325644 | − | 0.0792221i | ||||
\(280\) | −2.41203 | + | 25.6136i | −0.144146 | + | 1.53070i | ||||
\(281\) | −16.7821 | + | 5.45282i | −1.00113 | + | 0.325288i | −0.763319 | − | 0.646022i | \(-0.776431\pi\) |
−0.237815 | + | 0.971310i | \(0.576431\pi\) | |||||||
\(282\) | −0.370240 | − | 8.42647i | −0.0220475 | − | 0.501789i | ||||
\(283\) | −1.15511 | − | 3.55506i | −0.0686641 | − | 0.211326i | 0.910837 | − | 0.412767i | \(-0.135438\pi\) |
−0.979501 | + | 0.201441i | \(0.935438\pi\) | |||||||
\(284\) | 4.97991 | + | 9.62430i | 0.295504 | + | 0.571097i | ||||
\(285\) | −5.44077 | − | 8.56692i | −0.322283 | − | 0.507460i | ||||
\(286\) | −10.6354 | − | 25.4505i | −0.628882 | − | 1.50492i | ||||
\(287\) | 17.5631 | − | 24.1736i | 1.03672 | − | 1.42692i | ||||
\(288\) | −5.54449 | − | 16.0393i | −0.326712 | − | 0.945124i | ||||
\(289\) | 11.3905 | − | 8.27566i | 0.670028 | − | 0.486804i | ||||
\(290\) | 6.25194 | − | 2.43274i | 0.367126 | − | 0.142855i | ||||
\(291\) | −9.37384 | + | 25.5277i | −0.549504 | + | 1.49646i | ||||
\(292\) | −5.31564 | − | 0.807858i | −0.311074 | − | 0.0472763i | ||||
\(293\) | 9.16625 | 0.535498 | 0.267749 | − | 0.963489i | \(-0.413720\pi\) | ||||
0.267749 | + | 0.963489i | \(0.413720\pi\) | |||||||
\(294\) | 8.19559 | + | 21.9017i | 0.477977 | + | 1.27733i | ||||
\(295\) | −25.5953 | − | 9.02223i | −1.49021 | − | 0.525295i | ||||
\(296\) | −3.48833 | − | 5.57433i | −0.202755 | − | 0.324001i | ||||
\(297\) | 8.25976 | + | 14.5932i | 0.479280 | + | 0.846786i | ||||
\(298\) | 7.16664 | + | 17.1499i | 0.415152 | + | 0.993465i | ||||
\(299\) | 27.9421 | 1.61593 | ||||||||
\(300\) | −16.8320 | − | 4.08444i | −0.971798 | − | 0.235815i | ||||
\(301\) | −21.1657 | −1.21997 | ||||||||
\(302\) | −3.10380 | − | 7.42743i | −0.178604 | − | 0.427401i | ||||
\(303\) | 27.4418 | + | 1.03665i | 1.57649 | + | 0.0595541i | ||||
\(304\) | −3.36341 | − | 9.92712i | −0.192905 | − | 0.569359i | ||||
\(305\) | −8.38541 | + | 10.9608i | −0.480147 | + | 0.627612i | ||||
\(306\) | 4.29778 | + | 5.83951i | 0.245688 | + | 0.333823i | ||||
\(307\) | −7.15824 | −0.408542 | −0.204271 | − | 0.978914i | \(-0.565482\pi\) | ||||
−0.204271 | + | 0.978914i | \(0.565482\pi\) | |||||||
\(308\) | 3.94479 | − | 25.9564i | 0.224775 | − | 1.47900i | ||||
\(309\) | −6.36189 | − | 2.33611i | −0.361916 | − | 0.132897i | ||||
\(310\) | 3.19114 | − | 4.96345i | 0.181245 | − | 0.281905i | ||||
\(311\) | 9.07531 | − | 6.59360i | 0.514614 | − | 0.373889i | −0.299957 | − | 0.953953i | \(-0.596972\pi\) |
0.814571 | + | 0.580064i | \(0.196972\pi\) | |||||||
\(312\) | −25.6745 | + | 14.7482i | −1.45353 | + | 0.834950i | ||||
\(313\) | 1.45676 | − | 2.00506i | 0.0823408 | − | 0.113332i | −0.765860 | − | 0.643008i | \(-0.777686\pi\) |
0.848200 | + | 0.529675i | \(0.177686\pi\) | |||||||
\(314\) | −3.69789 | − | 8.84911i | −0.208684 | − | 0.499384i | ||||
\(315\) | −26.6656 | + | 5.79251i | −1.50244 | + | 0.326371i | ||||
\(316\) | 4.52612 | − | 2.34195i | 0.254614 | − | 0.131745i | ||||
\(317\) | −4.13848 | − | 12.7369i | −0.232440 | − | 0.715377i | −0.997451 | − | 0.0713591i | \(-0.977266\pi\) |
0.765011 | − | 0.644018i | \(-0.222734\pi\) | |||||||
\(318\) | −17.4495 | + | 0.766694i | −0.978522 | + | 0.0429940i | ||||
\(319\) | −6.51106 | + | 2.11557i | −0.364549 | + | 0.118449i | ||||
\(320\) | −15.8900 | − | 8.21622i | −0.888281 | − | 0.459301i | ||||
\(321\) | 34.6880 | + | 1.31039i | 1.93610 | + | 0.0731387i | ||||
\(322\) | 22.7201 | + | 13.8253i | 1.26614 | + | 0.770455i | ||||
\(323\) | 2.63218 | + | 3.62288i | 0.146458 | + | 0.201582i | ||||
\(324\) | 14.4310 | − | 10.7585i | 0.801725 | − | 0.597693i | ||||
\(325\) | −1.49451 | + | 30.1825i | −0.0829003 | + | 1.67422i | ||||
\(326\) | 20.4780 | + | 4.84862i | 1.13417 | + | 0.268540i | ||||
\(327\) | 4.83830 | − | 6.15647i | 0.267559 | − | 0.340454i | ||||
\(328\) | 11.0214 | + | 17.6122i | 0.608555 | + | 0.972469i | ||||
\(329\) | −13.3215 | − | 4.32841i | −0.734437 | − | 0.238633i | ||||
\(330\) | 16.9122 | + | 5.13881i | 0.930985 | + | 0.282882i | ||||
\(331\) | 23.4234 | − | 7.61073i | 1.28747 | − | 0.418324i | 0.416264 | − | 0.909244i | \(-0.363339\pi\) |
0.871205 | + | 0.490920i | \(0.163339\pi\) | |||||||
\(332\) | 5.44949 | − | 10.8627i | 0.299079 | − | 0.596168i | ||||
\(333\) | 4.51367 | − | 5.31729i | 0.247347 | − | 0.291386i | ||||
\(334\) | −14.9063 | + | 12.8121i | −0.815637 | + | 0.701044i | ||||
\(335\) | 4.03807 | + | 5.85732i | 0.220623 | + | 0.320019i | ||||
\(336\) | −28.1734 | − | 0.711418i | −1.53699 | − | 0.0388110i | ||||
\(337\) | 6.30910 | − | 8.68373i | 0.343678 | − | 0.473033i | −0.601833 | − | 0.798622i | \(-0.705563\pi\) |
0.945511 | + | 0.325589i | \(0.105563\pi\) | |||||||
\(338\) | 21.6891 | + | 25.2344i | 1.17973 | + | 1.37257i | ||||
\(339\) | 7.50119 | − | 9.54486i | 0.407409 | − | 0.518405i | ||||
\(340\) | 7.52529 | + | 1.33489i | 0.408116 | + | 0.0723947i | ||||
\(341\) | −3.53951 | + | 4.87172i | −0.191675 | + | 0.263818i | ||||
\(342\) | 8.95366 | − | 6.58974i | 0.484159 | − | 0.356332i | ||||
\(343\) | 10.3599 | 0.559381 | ||||||||
\(344\) | 5.50412 | − | 13.6490i | 0.296762 | − | 0.735906i | ||||
\(345\) | −11.4088 | + | 13.8003i | −0.614229 | + | 0.742984i | ||||
\(346\) | 9.71847 | − | 15.9710i | 0.522468 | − | 0.858608i | ||||
\(347\) | −14.7741 | − | 4.80040i | −0.793116 | − | 0.257699i | −0.115685 | − | 0.993286i | \(-0.536906\pi\) |
−0.677430 | + | 0.735587i | \(0.736906\pi\) | |||||||
\(348\) | 3.12842 | + | 6.64973i | 0.167701 | + | 0.356463i | ||||
\(349\) | 2.25215 | 0.120555 | 0.0602774 | − | 0.998182i | \(-0.480801\pi\) | ||||
0.0602774 | + | 0.998182i | \(0.480801\pi\) | |||||||
\(350\) | −16.1490 | + | 23.8023i | −0.863202 | + | 1.27229i | ||||
\(351\) | −23.1578 | − | 21.2129i | −1.23607 | − | 1.13226i | ||||
\(352\) | 15.7125 | + | 9.29379i | 0.837480 | + | 0.495361i | ||||
\(353\) | 1.24018 | − | 3.81687i | 0.0660079 | − | 0.203151i | −0.912613 | − | 0.408825i | \(-0.865939\pi\) |
0.978621 | + | 0.205674i | \(0.0659386\pi\) | |||||||
\(354\) | 7.93685 | − | 28.6501i | 0.421839 | − | 1.52273i | ||||
\(355\) | −0.299677 | + | 12.1117i | −0.0159052 | + | 0.642823i | ||||
\(356\) | 14.7676 | + | 2.24435i | 0.782682 | + | 0.118950i | ||||
\(357\) | 11.5837 | − | 3.28586i | 0.613076 | − | 0.173906i | ||||
\(358\) | 0.960067 | + | 11.7296i | 0.0507411 | + | 0.619928i | ||||
\(359\) | 1.12195 | + | 0.815144i | 0.0592142 | + | 0.0430216i | 0.616999 | − | 0.786964i | \(-0.288348\pi\) |
−0.557784 | + | 0.829986i | \(0.688348\pi\) | |||||||
\(360\) | 3.19898 | − | 18.7020i | 0.168601 | − | 0.985684i | ||||
\(361\) | −9.81640 | + | 7.13203i | −0.516653 | + | 0.375370i | ||||
\(362\) | −8.69274 | − | 10.1137i | −0.456880 | − | 0.531562i | ||||
\(363\) | 0.952271 | + | 0.349677i | 0.0499813 | + | 0.0183533i | ||||
\(364\) | 7.99563 | + | 48.5160i | 0.419085 | + | 2.54293i | ||||
\(365\) | −4.77437 | − | 3.65257i | −0.249902 | − | 0.191184i | ||||
\(366\) | −12.6087 | − | 8.34053i | −0.659069 | − | 0.435967i | ||||
\(367\) | 2.19066 | + | 6.74216i | 0.114352 | + | 0.351938i | 0.991811 | − | 0.127712i | \(-0.0407635\pi\) |
−0.877460 | + | 0.479650i | \(0.840763\pi\) | |||||||
\(368\) | −14.8238 | + | 11.0561i | −0.772744 | + | 0.576341i | ||||
\(369\) | −14.2610 | + | 16.8000i | −0.742397 | + | 0.874575i | ||||
\(370\) | −0.418326 | − | 7.34009i | −0.0217477 | − | 0.381593i | ||||
\(371\) | −8.96328 | + | 27.5861i | −0.465350 | + | 1.43220i | ||||
\(372\) | 5.66416 | + | 3.11454i | 0.293673 | + | 0.161481i | ||||
\(373\) | −22.1263 | − | 30.4542i | −1.14566 | − | 1.57686i | −0.754176 | − | 0.656672i | \(-0.771963\pi\) |
−0.391479 | − | 0.920187i | \(-0.628037\pi\) | |||||||
\(374\) | −7.58965 | − | 1.79702i | −0.392451 | − | 0.0929218i | ||||
\(375\) | −14.2966 | − | 13.0617i | −0.738273 | − | 0.674502i | ||||
\(376\) | 6.25548 | − | 7.46496i | 0.322602 | − | 0.384976i | ||||
\(377\) | 10.3730 | − | 7.53643i | 0.534237 | − | 0.388146i | ||||
\(378\) | −8.33409 | − | 28.7066i | −0.428659 | − | 1.47651i | ||||
\(379\) | 20.7567 | + | 6.74427i | 1.06620 | + | 0.346430i | 0.789007 | − | 0.614384i | \(-0.210595\pi\) |
0.277194 | + | 0.960814i | \(0.410595\pi\) | |||||||
\(380\) | 2.04678 | − | 11.5385i | 0.104997 | − | 0.591910i | ||||
\(381\) | −20.4553 | − | 30.5135i | −1.04796 | − | 1.56326i | ||||
\(382\) | 4.26316 | + | 1.00940i | 0.218122 | + | 0.0516454i | ||||
\(383\) | 17.3235 | − | 5.62875i | 0.885190 | − | 0.287616i | 0.169080 | − | 0.985602i | \(-0.445921\pi\) |
0.716111 | + | 0.697987i | \(0.245921\pi\) | |||||||
\(384\) | 7.78524 | − | 17.9830i | 0.397289 | − | 0.917694i | ||||
\(385\) | 17.8356 | − | 23.3133i | 0.908985 | − | 1.18816i | ||||
\(386\) | 4.43986 | + | 10.6246i | 0.225983 | + | 0.540780i | ||||
\(387\) | 15.5653 | + | 1.17768i | 0.791228 | + | 0.0598648i | ||||
\(388\) | −27.8890 | + | 14.4306i | −1.41585 | + | 0.732605i | ||||
\(389\) | 2.05265 | + | 2.82523i | 0.104074 | + | 0.143245i | 0.857877 | − | 0.513855i | \(-0.171783\pi\) |
−0.753804 | + | 0.657100i | \(0.771783\pi\) | |||||||
\(390\) | −33.0977 | + | 0.634622i | −1.67597 | + | 0.0321353i | ||||
\(391\) | 4.64405 | − | 6.39199i | 0.234860 | − | 0.323257i | ||||
\(392\) | −10.0988 | + | 25.0429i | −0.510068 | + | 1.26486i | ||||
\(393\) | 0.159136 | − | 0.0451408i | 0.00802735 | − | 0.00227705i | ||||
\(394\) | −0.537321 | − | 6.56470i | −0.0270698 | − | 0.330725i | ||||
\(395\) | 5.69590 | + | 0.140932i | 0.286592 | + | 0.00709105i | ||||
\(396\) | −4.34524 | + | 18.8689i | −0.218357 | + | 0.948196i | ||||
\(397\) | −9.49933 | − | 3.08652i | −0.476758 | − | 0.154908i | 0.0607739 | − | 0.998152i | \(-0.480643\pi\) |
−0.537532 | + | 0.843244i | \(0.680643\pi\) | |||||||
\(398\) | −8.04044 | − | 19.2409i | −0.403031 | − | 0.964459i | ||||
\(399\) | −5.03818 | − | 17.7612i | −0.252224 | − | 0.889174i | ||||
\(400\) | −11.1497 | − | 16.6037i | −0.557487 | − | 0.830186i | ||||
\(401\) | − | 23.7168i | − | 1.18436i | −0.805806 | − | 0.592180i | \(-0.798268\pi\) | ||
0.805806 | − | 0.592180i | \(-0.201732\pi\) | |||||||
\(402\) | −6.09783 | + | 4.85319i | −0.304132 | + | 0.242055i | ||||
\(403\) | 3.48505 | − | 10.7259i | 0.173603 | − | 0.534294i | ||||
\(404\) | 22.5620 | + | 22.2814i | 1.12250 | + | 1.10854i | ||||
\(405\) | 19.9322 | − | 2.77612i | 0.990440 | − | 0.137947i | ||||
\(406\) | 12.1633 | − | 0.995568i | 0.603656 | − | 0.0494092i | ||||
\(407\) | 7.50276i | 0.371898i | ||||||||
\(408\) | −0.893405 | + | 8.32443i | −0.0442301 | + | 0.412121i | ||||
\(409\) | 18.7930 | + | 13.6539i | 0.929255 | + | 0.675143i | 0.945810 | − | 0.324719i | \(-0.105270\pi\) |
−0.0165551 | + | 0.999863i | \(0.505270\pi\) | |||||||
\(410\) | 1.32170 | + | 23.1911i | 0.0652743 | + | 1.14533i | ||||
\(411\) | 15.5839 | − | 19.8296i | 0.768696 | − | 0.978123i | ||||
\(412\) | −3.59634 | − | 6.95038i | −0.177179 | − | 0.342421i | ||||
\(413\) | −39.9412 | − | 29.0190i | −1.96538 | − | 1.42793i | ||||
\(414\) | −15.9391 | − | 11.4313i | −0.783366 | − | 0.561819i | ||||
\(415\) | 11.1867 | − | 7.71216i | 0.549132 | − | 0.378575i | ||||
\(416\) | −33.3655 | − | 7.46044i | −1.63588 | − | 0.365778i | ||||
\(417\) | −2.15562 | + | 1.44506i | −0.105561 | + | 0.0707647i | ||||
\(418\) | −2.75536 | + | 11.6371i | −0.134769 | + | 0.569191i | ||||
\(419\) | 0.428622 | + | 1.31916i | 0.0209395 | + | 0.0644453i | 0.960980 | − | 0.276617i | \(-0.0892133\pi\) |
−0.940041 | + | 0.341062i | \(0.889213\pi\) | |||||||
\(420\) | −27.2262 | − | 15.8602i | −1.32850 | − | 0.773898i | ||||
\(421\) | −5.56178 | + | 17.1174i | −0.271065 | + | 0.834251i | 0.719169 | + | 0.694835i | \(0.244523\pi\) |
−0.990234 | + | 0.139416i | \(0.955477\pi\) | |||||||
\(422\) | 23.5143 | + | 14.3086i | 1.14466 | + | 0.696531i | ||||
\(423\) | 9.55580 | + | 3.92434i | 0.464619 | + | 0.190808i | ||||
\(424\) | −15.4584 | − | 12.9539i | −0.750728 | − | 0.629095i | ||||
\(425\) | 6.65610 | + | 5.35829i | 0.322868 | + | 0.259915i | ||||
\(426\) | −13.2590 | + | 0.582570i | −0.642400 | + | 0.0282256i | ||||
\(427\) | −20.3107 | + | 14.7566i | −0.982903 | + | 0.714121i | ||||
\(428\) | 28.5196 | + | 28.1650i | 1.37855 | + | 1.36141i | ||||
\(429\) | 33.7585 | + | 1.27527i | 1.62987 | + | 0.0615707i | ||||
\(430\) | 12.7398 | − | 10.4133i | 0.614368 | − | 0.502172i | ||||
\(431\) | −8.05614 | − | 24.7943i | −0.388051 | − | 1.19430i | −0.934243 | − | 0.356637i | \(-0.883923\pi\) |
0.546192 | − | 0.837660i | \(-0.316077\pi\) | |||||||
\(432\) | 20.6792 | + | 2.09077i | 0.994928 | + | 0.100592i | ||||
\(433\) | −7.91328 | + | 2.57118i | −0.380288 | + | 0.123563i | −0.492922 | − | 0.870073i | \(-0.664071\pi\) |
0.112634 | + | 0.993637i | \(0.464071\pi\) | |||||||
\(434\) | 8.14073 | − | 6.99700i | 0.390767 | − | 0.335867i | ||||
\(435\) | −0.513151 | + | 8.20025i | −0.0246037 | + | 0.393172i | ||||
\(436\) | 8.92114 | − | 1.47024i | 0.427245 | − | 0.0704117i | ||||
\(437\) | −9.80077 | − | 7.12068i | −0.468835 | − | 0.340628i | ||||
\(438\) | 3.63302 | − | 5.49219i | 0.173592 | − | 0.262427i | ||||
\(439\) | −5.42747 | − | 7.47027i | −0.259039 | − | 0.356537i | 0.659612 | − | 0.751606i | \(-0.270721\pi\) |
−0.918651 | + | 0.395069i | \(0.870721\pi\) | |||||||
\(440\) | 10.3958 | + | 17.5642i | 0.495601 | + | 0.837338i | ||||
\(441\) | −28.5588 | − | 2.16078i | −1.35994 | − | 0.102894i | ||||
\(442\) | 14.5585 | − | 1.19162i | 0.692479 | − | 0.0566794i | ||||
\(443\) | 9.13686i | 0.434105i | 0.976160 | + | 0.217053i | \(0.0696444\pi\) | ||||
−0.976160 | + | 0.217053i | \(0.930356\pi\) | |||||||
\(444\) | 7.99030 | − | 1.00871i | 0.379203 | − | 0.0478712i | ||||
\(445\) | 13.2639 | + | 10.1474i | 0.628768 | + | 0.481031i | ||||
\(446\) | 9.28626 | − | 15.2607i | 0.439717 | − | 0.722617i | ||||
\(447\) | −22.7482 | − | 0.859343i | −1.07595 | − | 0.0406455i | ||||
\(448\) | −23.4386 | − | 22.5749i | −1.10737 | − | 1.06656i | ||||
\(449\) | − | 4.35202i | − | 0.205384i | −0.994713 | − | 0.102692i | \(-0.967254\pi\) | ||
0.994713 | − | 0.102692i | \(-0.0327457\pi\) | |||||||
\(450\) | 13.2004 | − | 16.6057i | 0.622273 | − | 0.782800i | ||||
\(451\) | − | 23.7050i | − | 1.11623i | ||||||
\(452\) | 13.8311 | − | 2.27943i | 0.650562 | − | 0.107215i | ||||
\(453\) | 9.85200 | + | 0.372173i | 0.462888 | + | 0.0174862i | ||||
\(454\) | 28.3307 | + | 17.2394i | 1.32963 | + | 0.809085i | ||||
\(455\) | −18.2760 | + | 51.8474i | −0.856792 | + | 2.43064i | ||||
\(456\) | 12.7638 | + | 1.36985i | 0.597718 | + | 0.0641490i | ||||
\(457\) | − | 8.13030i | − | 0.380319i | −0.981753 | − | 0.190160i | \(-0.939099\pi\) | ||
0.981753 | − | 0.190160i | \(-0.0609006\pi\) | |||||||
\(458\) | 1.10719 | + | 13.5271i | 0.0517358 | + | 0.632081i | ||||
\(459\) | −8.70153 | + | 1.77190i | −0.406152 | + | 0.0827050i | ||||
\(460\) | −20.4773 | + | 2.85643i | −0.954759 | + | 0.133182i | ||||
\(461\) | 15.7995 | + | 21.7462i | 0.735857 | + | 1.01282i | 0.998846 | + | 0.0480215i | \(0.0152916\pi\) |
−0.262989 | + | 0.964799i | \(0.584708\pi\) | |||||||
\(462\) | 26.8185 | + | 17.7401i | 1.24771 | + | 0.825345i | ||||
\(463\) | 16.2070 | + | 11.7751i | 0.753205 | + | 0.547235i | 0.896819 | − | 0.442399i | \(-0.145872\pi\) |
−0.143614 | + | 0.989634i | \(0.545872\pi\) | |||||||
\(464\) | −2.52106 | + | 8.10260i | −0.117037 | + | 0.376154i | ||||
\(465\) | 3.87444 | + | 6.10062i | 0.179673 | + | 0.282909i | ||||
\(466\) | 9.48187 | + | 11.0318i | 0.439239 | + | 0.511038i | ||||
\(467\) | 2.65359 | − | 0.862205i | 0.122794 | − | 0.0398981i | −0.246976 | − | 0.969022i | \(-0.579437\pi\) |
0.369769 | + | 0.929124i | \(0.379437\pi\) | |||||||
\(468\) | −3.18052 | − | 36.1236i | −0.147020 | − | 1.66981i | ||||
\(469\) | 3.99936 | + | 12.3088i | 0.184673 | + | 0.568366i | ||||
\(470\) | 10.1478 | − | 3.94870i | 0.468085 | − | 0.182140i | ||||
\(471\) | 11.7378 | + | 0.443410i | 0.540847 | + | 0.0204312i | ||||
\(472\) | 29.1000 | − | 18.2103i | 1.33944 | − | 0.838199i | ||||
\(473\) | −13.5846 | + | 9.86982i | −0.624622 | + | 0.453815i | ||||
\(474\) | 0.273971 | + | 6.23544i | 0.0125839 | + | 0.286403i | ||||
\(475\) | 8.21581 | − | 10.2057i | 0.376967 | − | 0.468271i | ||||
\(476\) | 12.4273 | + | 6.23442i | 0.569606 | + | 0.285754i | ||||
\(477\) | 8.12653 | − | 19.7882i | 0.372088 | − | 0.906038i | ||||
\(478\) | 21.3899 | − | 35.1515i | 0.978351 | − | 1.60779i | ||||
\(479\) | −6.48938 | + | 19.9722i | −0.296507 | + | 0.912555i | 0.686204 | + | 0.727409i | \(0.259276\pi\) |
−0.982711 | + | 0.185146i | \(0.940724\pi\) | |||||||
\(480\) | 17.3078 | − | 13.4328i | 0.789991 | − | 0.613119i | ||||
\(481\) | −4.34215 | − | 13.3638i | −0.197985 | − | 0.609335i | ||||
\(482\) | −32.8526 | − | 7.77859i | −1.49639 | − | 0.354305i | ||||
\(483\) | −27.0562 | + | 18.1376i | −1.23110 | + | 0.825290i | ||||
\(484\) | 0.538314 | + | 1.04036i | 0.0244688 | + | 0.0472890i | ||||
\(485\) | −35.0970 | − | 0.868393i | −1.59367 | − | 0.0394317i | ||||
\(486\) | 4.53164 | + | 21.5746i | 0.205559 | + | 0.978645i | ||||
\(487\) | −3.99489 | − | 2.90246i | −0.181026 | − | 0.131523i | 0.493582 | − | 0.869699i | \(-0.335687\pi\) |
−0.674608 | + | 0.738176i | \(0.735687\pi\) | |||||||
\(488\) | −4.23423 | − | 16.9351i | −0.191674 | − | 0.766616i | ||||
\(489\) | −15.9257 | + | 20.2646i | −0.720186 | + | 0.916398i | ||||
\(490\) | −23.3747 | + | 19.1060i | −1.05596 | + | 0.863122i | ||||
\(491\) | 13.3366 | + | 9.68959i | 0.601871 | + | 0.437285i | 0.846543 | − | 0.532321i | \(-0.178680\pi\) |
−0.244671 | + | 0.969606i | \(0.578680\pi\) | |||||||
\(492\) | −25.2454 | + | 3.18703i | −1.13815 | + | 0.143682i | ||||
\(493\) | − | 3.62548i | − | 0.163284i | ||||||
\(494\) | −1.82709 | − | 22.3225i | −0.0822048 | − | 1.00433i | ||||
\(495\) | −14.4135 | + | 16.1523i | −0.647838 | + | 0.725990i | ||||
\(496\) | 2.39513 | + | 7.06924i | 0.107544 | + | 0.317418i | ||||
\(497\) | −6.81072 | + | 20.9612i | −0.305503 | + | 0.940241i | ||||
\(498\) | 9.26892 | + | 11.6460i | 0.415350 | + | 0.521871i | ||||
\(499\) | − | 29.5012i | − | 1.32066i | −0.750978 | − | 0.660328i | \(-0.770417\pi\) | ||
0.750978 | − | 0.660328i | \(-0.229583\pi\) | |||||||
\(500\) | −1.99021 | − | 22.2719i | −0.0890049 | − | 0.996031i | ||||
\(501\) | −6.56946 | − | 23.1595i | −0.293502 | − | 1.03469i | ||||
\(502\) | 19.8693 | − | 8.30306i | 0.886812 | − | 0.370584i | ||||
\(503\) | −15.6724 | − | 5.09227i | −0.698798 | − | 0.227053i | −0.0619914 | − | 0.998077i | \(-0.519745\pi\) |
−0.636807 | + | 0.771023i | \(0.719745\pi\) | |||||||
\(504\) | 15.2873 | − | 30.9462i | 0.680949 | − | 1.37846i | ||||
\(505\) | 10.1181 | + | 33.9780i | 0.450248 | + | 1.51200i | ||||
\(506\) | 21.0292 | − | 1.72124i | 0.934862 | − | 0.0765184i | ||||
\(507\) | −39.2060 | + | 11.1212i | −1.74120 | + | 0.493911i | ||||
\(508\) | 6.37347 | − | 41.9369i | 0.282777 | − | 1.86065i | ||||
\(509\) | 3.01849 | − | 4.15459i | 0.133792 | − | 0.184149i | −0.736864 | − | 0.676041i | \(-0.763694\pi\) |
0.870656 | + | 0.491892i | \(0.163694\pi\) | |||||||
\(510\) | −5.35575 | + | 7.67684i | −0.237156 | + | 0.339936i | ||||
\(511\) | −6.42776 | − | 8.84706i | −0.284348 | − | 0.391371i | ||||
\(512\) | 20.6530 | − | 9.24416i | 0.912741 | − | 0.408538i | ||||
\(513\) | 2.71683 | + | 13.3420i | 0.119951 | + | 0.589062i | ||||
\(514\) | 18.3835 | − | 7.68217i | 0.810863 | − | 0.338846i | ||||
\(515\) | 0.216417 | − | 8.74671i | 0.00953648 | − | 0.385426i | ||||
\(516\) | 12.3376 | + | 13.1404i | 0.543131 | + | 0.578475i | ||||
\(517\) | −10.5684 | + | 3.43389i | −0.464799 | + | 0.151022i | ||||
\(518\) | 3.08152 | − | 13.0147i | 0.135394 | − | 0.571832i | ||||
\(519\) | 12.7498 | + | 19.0191i | 0.559654 | + | 0.834846i | ||||
\(520\) | −28.6819 | − | 25.2684i | −1.25778 | − | 1.10809i | ||||
\(521\) | 2.25435 | + | 0.732482i | 0.0987648 | + | 0.0320906i | 0.357983 | − | 0.933728i | \(-0.383465\pi\) |
−0.259218 | + | 0.965819i | \(0.583465\pi\) | |||||||
\(522\) | −9.00032 | + | 0.0553625i | −0.393933 | + | 0.00242315i | ||||
\(523\) | −28.8397 | + | 20.9533i | −1.26107 | + | 0.916222i | −0.998810 | − | 0.0487748i | \(-0.984468\pi\) |
−0.262262 | + | 0.964997i | \(0.584468\pi\) | |||||||
\(524\) | 0.170725 | + | 0.0856477i | 0.00745816 | + | 0.00374154i | ||||
\(525\) | −18.1447 | − | 30.1957i | −0.791902 | − | 1.31785i | ||||
\(526\) | −8.37364 | + | 35.3657i | −0.365108 | + | 1.54202i | ||||
\(527\) | −1.87441 | − | 2.57990i | −0.0816505 | − | 0.112382i | ||||
\(528\) | −18.4141 | + | 12.6810i | −0.801371 | + | 0.551870i | ||||
\(529\) | 0.502477 | − | 1.54647i | 0.0218468 | − | 0.0672376i | ||||
\(530\) | −8.17697 | − | 21.0142i | −0.355185 | − | 0.912796i | ||||
\(531\) | 27.7582 | + | 23.5630i | 1.20460 | + | 1.02255i | ||||
\(532\) | 9.55917 | − | 19.0547i | 0.414443 | − | 0.826126i | ||||
\(533\) | 13.7191 | + | 42.2230i | 0.594239 | + | 1.82888i | ||||
\(534\) | −10.0930 | + | 15.2581i | −0.436769 | + | 0.660282i | ||||
\(535\) | 12.7898 | + | 42.9501i | 0.552952 | + | 1.85690i | ||||
\(536\) | −8.97753 | − | 0.621837i | −0.387770 | − | 0.0268593i | ||||
\(537\) | −13.5304 | − | 4.96842i | −0.583881 | − | 0.214403i | ||||
\(538\) | −5.13095 | + | 4.41008i | −0.221211 | + | 0.190132i | ||||
\(539\) | 24.9248 | − | 18.1089i | 1.07359 | − | 0.780006i | ||||
\(540\) | 19.1397 | + | 13.1785i | 0.823640 | + | 0.567112i | ||||
\(541\) | 18.3009 | + | 13.2964i | 0.786819 | + | 0.571657i | 0.907018 | − | 0.421092i | \(-0.138353\pi\) |
−0.120199 | + | 0.992750i | \(0.538353\pi\) | |||||||
\(542\) | −42.1140 | + | 3.44703i | −1.80895 | + | 0.148063i | ||||
\(543\) | 15.7133 | − | 4.45726i | 0.674322 | − | 0.191279i | ||||
\(544\) | −7.25208 | + | 6.39270i | −0.310930 | + | 0.274085i | ||||
\(545\) | 9.53372 | + | 3.36060i | 0.408380 | + | 0.143952i | ||||
\(546\) | −58.0354 | − | 16.0774i | −2.48369 | − | 0.688049i | ||||
\(547\) | 10.9627 | − | 33.7396i | 0.468729 | − | 1.44260i | −0.385501 | − | 0.922707i | \(-0.625972\pi\) |
0.854231 | − | 0.519894i | \(-0.174028\pi\) | |||||||
\(548\) | 28.7345 | − | 4.73555i | 1.22748 | − | 0.202293i | ||||
\(549\) | 15.7576 | − | 9.72191i | 0.672517 | − | 0.414921i | ||||
\(550\) | 0.734483 | + | 22.8074i | 0.0313184 | + | 0.972509i | ||||
\(551\) | −5.55892 | −0.236818 | ||||||||
\(552\) | −4.66036 | − | 22.1643i | −0.198358 | − | 0.943375i | ||||
\(553\) | 9.85766 | + | 3.20295i | 0.419190 | + | 0.136203i | ||||
\(554\) | −7.11426 | − | 4.32907i | −0.302256 | − | 0.183925i | ||||
\(555\) | 8.37313 | + | 3.31190i | 0.355419 | + | 0.140582i | ||||
\(556\) | −2.96262 | − | 0.450251i | −0.125643 | − | 0.0190949i | ||||
\(557\) | 15.8708 | 0.672466 | 0.336233 | − | 0.941779i | \(-0.390847\pi\) | ||||
0.336233 | + | 0.941779i | \(0.390847\pi\) | |||||||
\(558\) | −6.37602 | + | 4.69264i | −0.269919 | + | 0.198655i | ||||
\(559\) | 18.4846 | − | 25.4419i | 0.781816 | − | 1.07608i | ||||
\(560\) | −10.8192 | − | 34.7374i | −0.457195 | − | 1.46793i | ||||
\(561\) | 5.90248 | − | 7.51058i | 0.249203 | − | 0.317097i | ||||
\(562\) | 18.9250 | − | 16.2661i | 0.798303 | − | 0.686145i | ||||
\(563\) | −11.9500 | + | 16.4477i | −0.503632 | + | 0.693190i | −0.982829 | − | 0.184517i | \(-0.940928\pi\) |
0.479197 | + | 0.877707i | \(0.340928\pi\) | |||||||
\(564\) | 5.07790 | + | 10.7935i | 0.213818 | + | 0.454489i | ||||
\(565\) | 14.7809 | + | 5.21020i | 0.621836 | + | 0.219195i | ||||
\(566\) | 3.44576 | + | 4.00901i | 0.144836 | + | 0.168511i | ||||
\(567\) | 36.1932 | + | 5.50834i | 1.51997 | + | 0.231329i | ||||
\(568\) | −11.7461 | − | 9.84295i | −0.492854 | − | 0.413001i | ||||
\(569\) | −0.353267 | + | 0.114783i | −0.0148097 | + | 0.00481197i | −0.316412 | − | 0.948622i | \(-0.602478\pi\) |
0.301603 | + | 0.953434i | \(0.402478\pi\) | |||||||
\(570\) | 11.7708 | + | 8.21191i | 0.493026 | + | 0.343959i | ||||
\(571\) | 1.76725 | + | 0.574214i | 0.0739571 | + | 0.0240301i | 0.345762 | − | 0.938322i | \(-0.387620\pi\) |
−0.271805 | + | 0.962352i | \(0.587620\pi\) | |||||||
\(572\) | 27.7554 | + | 27.4102i | 1.16051 | + | 1.14608i | ||||
\(573\) | −3.31546 | + | 4.21874i | −0.138505 | + | 0.176240i | ||||
\(574\) | −9.73610 | + | 41.1200i | −0.406377 | + | 1.71632i | ||||
\(575\) | −21.6044 | − | 8.22174i | −0.900967 | − | 0.342870i | ||||
\(576\) | 15.9807 | + | 17.9058i | 0.665863 | + | 0.746074i | ||||
\(577\) | −7.63108 | − | 10.5033i | −0.317686 | − | 0.437257i | 0.620073 | − | 0.784544i | \(-0.287103\pi\) |
−0.937759 | + | 0.347287i | \(0.887103\pi\) | |||||||
\(578\) | −10.3505 | + | 17.0096i | −0.430522 | + | 0.707507i | ||||
\(579\) | −14.0929 | − | 0.532379i | −0.585681 | − | 0.0221249i | ||||
\(580\) | −6.83140 | + | 6.58345i | −0.283659 | + | 0.273363i | ||||
\(581\) | 23.5080 | − | 7.63823i | 0.975278 | − | 0.316887i | ||||
\(582\) | −1.68815 | − | 38.4215i | −0.0699762 | − | 1.59262i | ||||
\(583\) | 7.11091 | + | 21.8851i | 0.294504 | + | 0.906389i | ||||
\(584\) | 7.37670 | − | 1.84437i | 0.305250 | − | 0.0763206i | ||||
\(585\) | 16.3250 | − | 37.1117i | 0.674957 | − | 1.53438i | ||||
\(586\) | −11.9607 | + | 4.99818i | −0.494092 | + | 0.206473i | ||||
\(587\) | −20.1814 | + | 27.7773i | −0.832974 | + | 1.14649i | 0.154388 | + | 0.988010i | \(0.450659\pi\) |
−0.987362 | + | 0.158480i | \(0.949341\pi\) | |||||||
\(588\) | −22.6367 | − | 24.1098i | −0.933521 | − | 0.994271i | ||||
\(589\) | −3.95574 | + | 2.87401i | −0.162993 | + | 0.118422i | ||||
\(590\) | 38.3180 | − | 2.18381i | 1.57753 | − | 0.0899061i | ||||
\(591\) | 7.57258 | + | 2.78068i | 0.311494 | + | 0.114382i | ||||
\(592\) | 7.59137 | + | 5.37162i | 0.312003 | + | 0.220772i | ||||
\(593\) | 27.4395 | 1.12681 | 0.563403 | − | 0.826182i | \(-0.309492\pi\) | ||||
0.563403 | + | 0.826182i | \(0.309492\pi\) | |||||||
\(594\) | −18.7353 | − | 14.5383i | −0.768717 | − | 0.596514i | ||||
\(595\) | 8.82300 | + | 12.7980i | 0.361708 | + | 0.524665i | ||||
\(596\) | −18.7030 | − | 18.4704i | −0.766103 | − | 0.756577i | ||||
\(597\) | 25.5218 | + | 0.964120i | 1.04454 | + | 0.0394588i | ||||
\(598\) | −36.4606 | + | 15.2363i | −1.49099 | + | 0.623058i | ||||
\(599\) | −15.6130 | −0.637931 | −0.318965 | − | 0.947766i | \(-0.603335\pi\) | ||||
−0.318965 | + | 0.947766i | \(0.603335\pi\) | |||||||
\(600\) | 24.1907 | − | 3.84855i | 0.987580 | − | 0.157116i | ||||
\(601\) | 22.0342 | 0.898793 | 0.449396 | − | 0.893333i | \(-0.351639\pi\) | ||||
0.449396 | + | 0.893333i | \(0.351639\pi\) | |||||||
\(602\) | 27.6183 | − | 11.5412i | 1.12564 | − | 0.470386i | ||||
\(603\) | −2.25626 | − | 9.27442i | −0.0918822 | − | 0.377683i | ||||
\(604\) | 8.10007 | + | 7.99935i | 0.329587 | + | 0.325489i | ||||
\(605\) | −0.0323941 | + | 1.30924i | −0.00131701 | + | 0.0532282i | ||||
\(606\) | −36.3731 | + | 13.6108i | −1.47756 | + | 0.552901i | ||||
\(607\) | −37.2252 | −1.51092 | −0.755462 | − | 0.655192i | \(-0.772588\pi\) | ||||
−0.755462 | + | 0.655192i | \(0.772588\pi\) | |||||||
\(608\) | 9.80186 | + | 11.1195i | 0.397518 | + | 0.450957i | ||||
\(609\) | −5.15214 | + | 14.0308i | −0.208775 | + | 0.568555i | ||||
\(610\) | 4.96512 | − | 18.8747i | 0.201032 | − | 0.764215i | ||||
\(611\) | 16.8369 | − | 12.2328i | 0.681150 | − | 0.494884i | ||||
\(612\) | −8.79219 | − | 5.27627i | −0.355403 | − | 0.213281i | ||||
\(613\) | −16.8794 | + | 23.2326i | −0.681754 | + | 0.938355i | −0.999953 | − | 0.00966950i | \(-0.996922\pi\) |
0.318199 | + | 0.948024i | \(0.396922\pi\) | |||||||
\(614\) | 9.34053 | − | 3.90325i | 0.376953 | − | 0.157522i | ||||
\(615\) | −26.4550 | − | 10.4640i | −1.06677 | − | 0.421949i | ||||
\(616\) | 9.00610 | + | 36.0205i | 0.362866 | + | 1.45131i | ||||
\(617\) | −12.6400 | − | 38.9018i | −0.508866 | − | 1.56613i | −0.794173 | − | 0.607691i | \(-0.792096\pi\) |
0.285308 | − | 0.958436i | \(-0.407904\pi\) | |||||||
\(618\) | 9.57524 | − | 0.420714i | 0.385173 | − | 0.0169236i | ||||
\(619\) | −30.5204 | + | 9.91668i | −1.22672 | + | 0.398585i | −0.849524 | − | 0.527549i | \(-0.823111\pi\) |
−0.377194 | + | 0.926134i | \(0.623111\pi\) | |||||||
\(620\) | −1.45754 | + | 8.21669i | −0.0585361 | + | 0.329990i | ||||
\(621\) | 20.9064 | − | 11.8330i | 0.838944 | − | 0.474842i | ||||
\(622\) | −8.24669 | + | 13.5523i | −0.330662 | + | 0.543399i | ||||
\(623\) | 17.8572 | + | 24.5784i | 0.715436 | + | 0.984713i | ||||
\(624\) | 25.4598 | − | 33.2441i | 1.01921 | − | 1.33083i | ||||
\(625\) | 10.0365 | − | 22.8969i | 0.401460 | − | 0.915877i | ||||
\(626\) | −0.807553 | + | 3.41067i | −0.0322763 | + | 0.136318i | ||||
\(627\) | −11.5159 | − | 9.05021i | −0.459901 | − | 0.361431i | ||||
\(628\) | 9.65049 | + | 9.53049i | 0.385096 | + | 0.380308i | ||||
\(629\) | −3.77875 | − | 1.22779i | −0.150669 | − | 0.0489552i | ||||
\(630\) | 31.6364 | − | 22.0987i | 1.26042 | − | 0.880432i | ||||
\(631\) | −12.5237 | + | 4.06919i | −0.498560 | + | 0.161992i | −0.547493 | − | 0.836810i | \(-0.684418\pi\) |
0.0489334 | + | 0.998802i | \(0.484418\pi\) | |||||||
\(632\) | −4.62894 | + | 5.52394i | −0.184130 | + | 0.219730i | ||||
\(633\) | −28.0020 | + | 18.7716i | −1.11298 | + | 0.746105i | ||||
\(634\) | 12.3453 | + | 14.3633i | 0.490296 | + | 0.570440i | ||||
\(635\) | 28.8164 | − | 37.6666i | 1.14354 | − | 1.49475i | ||||
\(636\) | 22.3512 | − | 10.5153i | 0.886283 | − | 0.416960i | ||||
\(637\) | −33.9152 | + | 46.6802i | −1.34377 | + | 1.84954i | ||||
\(638\) | 7.34247 | − | 6.31089i | 0.290691 | − | 0.249850i | ||||
\(639\) | 6.17492 | − | 15.0360i | 0.244276 | − | 0.594814i | ||||
\(640\) | 25.2145 | + | 2.05652i | 0.996690 | + | 0.0812910i | ||||
\(641\) | 11.4977 | − | 15.8252i | 0.454130 | − | 0.625057i | −0.519148 | − | 0.854684i | \(-0.673751\pi\) |
0.973279 | + | 0.229627i | \(0.0737508\pi\) | |||||||
\(642\) | −45.9777 | + | 17.2048i | −1.81459 | + | 0.679020i | ||||
\(643\) | 39.4122 | 1.55426 | 0.777132 | − | 0.629337i | \(-0.216673\pi\) | ||||
0.777132 | + | 0.629337i | \(0.216673\pi\) | |||||||
\(644\) | −37.1853 | − | 5.65133i | −1.46531 | − | 0.222694i | ||||
\(645\) | 5.01818 | + | 19.5173i | 0.197591 | + | 0.768494i | ||||
\(646\) | −5.41012 | − | 3.29209i | −0.212858 | − | 0.129526i | ||||
\(647\) | −28.7039 | − | 9.32647i | −1.12847 | − | 0.366661i | −0.315474 | − | 0.948934i | \(-0.602164\pi\) |
−0.812994 | + | 0.582273i | \(0.802164\pi\) | |||||||
\(648\) | −12.9642 | + | 21.9073i | −0.509280 | + | 0.860601i | ||||
\(649\) | −39.1671 | −1.53744 | ||||||||
\(650\) | −14.5078 | − | 40.1989i | −0.569042 | − | 1.57673i | ||||
\(651\) | 3.58775 | + | 12.6480i | 0.140615 | + | 0.495715i | ||||
\(652\) | −29.3648 | + | 4.83944i | −1.15001 | + | 0.189527i | ||||
\(653\) | 13.6778 | − | 42.0958i | 0.535252 | − | 1.64734i | −0.207853 | − | 0.978160i | \(-0.566647\pi\) |
0.743104 | − | 0.669175i | \(-0.233353\pi\) | |||||||
\(654\) | −2.95632 | + | 10.6716i | −0.115601 | + | 0.417292i | ||||
\(655\) | 0.121209 | + | 0.175817i | 0.00473604 | + | 0.00686973i | ||||
\(656\) | −23.9850 | − | 16.9717i | −0.936457 | − | 0.662634i | ||||
\(657\) | 4.23473 | + | 6.86379i | 0.165212 | + | 0.267782i | ||||
\(658\) | 19.7429 | − | 1.61596i | 0.769659 | − | 0.0629965i | ||||
\(659\) | −14.3375 | − | 10.4168i | −0.558508 | − | 0.405780i | 0.272405 | − | 0.962183i | \(-0.412181\pi\) |
−0.830913 | + | 0.556403i | \(0.812181\pi\) | |||||||
\(660\) | −24.8702 | + | 2.51644i | −0.968071 | + | 0.0979523i | ||||
\(661\) | 3.16991 | − | 2.30308i | 0.123295 | − | 0.0895793i | −0.524429 | − | 0.851454i | \(-0.675721\pi\) |
0.647724 | + | 0.761875i | \(0.275721\pi\) | |||||||
\(662\) | −26.4144 | + | 22.7033i | −1.02662 | + | 0.882389i | ||||
\(663\) | −6.16670 | + | 16.7937i | −0.239495 | + | 0.652213i | ||||
\(664\) | −1.18762 | + | 17.1458i | −0.0460887 | + | 0.665387i | ||||
\(665\) | 19.6230 | − | 13.5282i | 0.760947 | − | 0.524602i | ||||
\(666\) | −2.99031 | + | 9.39956i | −0.115872 | + | 0.364225i | ||||
\(667\) | 3.03078 | + | 9.32779i | 0.117352 | + | 0.361174i | ||||
\(668\) | 12.4645 | − | 24.8461i | 0.482268 | − | 0.961325i | ||||
\(669\) | 12.1828 | + | 18.1733i | 0.471013 | + | 0.702619i | ||||
\(670\) | −8.46301 | − | 5.44112i | −0.326955 | − | 0.210209i | ||||
\(671\) | −6.15471 | + | 18.9422i | −0.237600 | + | 0.731257i | ||||
\(672\) | 37.1504 | − | 14.4341i | 1.43311 | − | 0.556808i | ||||
\(673\) | −8.48668 | − | 11.6809i | −0.327138 | − | 0.450266i | 0.613492 | − | 0.789701i | \(-0.289764\pi\) |
−0.940630 | + | 0.339435i | \(0.889764\pi\) | |||||||
\(674\) | −3.49744 | + | 14.7713i | −0.134716 | + | 0.568969i | ||||
\(675\) | 11.6636 | + | 23.2155i | 0.448930 | + | 0.893567i | ||||
\(676\) | −42.0612 | − | 21.1008i | −1.61774 | − | 0.811570i | ||||
\(677\) | −21.0140 | + | 15.2675i | −0.807632 | + | 0.586779i | −0.913143 | − | 0.407639i | \(-0.866352\pi\) |
0.105511 | + | 0.994418i | \(0.466352\pi\) | |||||||
\(678\) | −4.58341 | + | 16.5450i | −0.176025 | + | 0.635407i | ||||
\(679\) | −60.7409 | − | 19.7359i | −2.33102 | − | 0.757394i | ||||
\(680\) | −10.5474 | + | 2.36154i | −0.404473 | + | 0.0905611i | ||||
\(681\) | −33.7376 | + | 22.6166i | −1.29283 | + | 0.866670i | ||||
\(682\) | 1.96213 | − | 8.28696i | 0.0751337 | − | 0.317324i | ||||
\(683\) | −29.3508 | + | 9.53665i | −1.12308 | + | 0.364910i | −0.810941 | − | 0.585127i | \(-0.801044\pi\) |
−0.312136 | + | 0.950037i | \(0.601044\pi\) | |||||||
\(684\) | −8.09005 | + | 13.4810i | −0.309331 | + | 0.515458i | ||||
\(685\) | 30.7075 | + | 10.8243i | 1.17327 | + | 0.413575i | ||||
\(686\) | −13.5182 | + | 5.64905i | −0.516129 | + | 0.215682i | ||||
\(687\) | −15.6039 | − | 5.72982i | −0.595327 | − | 0.218606i | ||||
\(688\) | 0.260414 | + | 20.8114i | 0.00992818 | + | 0.793427i | ||||
\(689\) | −25.3316 | − | 34.8660i | −0.965057 | − | 1.32829i | ||||
\(690\) | 7.36189 | − | 24.2285i | 0.280263 | − | 0.922364i | ||||
\(691\) | 1.42181 | − | 1.95695i | 0.0540881 | − | 0.0744459i | −0.781116 | − | 0.624386i | \(-0.785349\pi\) |
0.835204 | + | 0.549940i | \(0.185349\pi\) | |||||||
\(692\) | −3.97259 | + | 26.1393i | −0.151015 | + | 0.993667i | ||||
\(693\) | −33.5160 | + | 20.6783i | −1.27317 | + | 0.785502i | ||||
\(694\) | 21.8958 | − | 1.79217i | 0.831152 | − | 0.0680297i | ||||
\(695\) | −2.66094 | − | 2.03572i | −0.100935 | − | 0.0772194i | ||||
\(696\) | −7.70813 | − | 6.97112i | −0.292176 | − | 0.264240i | ||||
\(697\) | 11.9390 | + | 3.87922i | 0.452222 | + | 0.146936i | ||||
\(698\) | −2.93875 | + | 1.22805i | −0.111233 | + | 0.0464825i | ||||
\(699\) | −17.1398 | + | 4.86189i | −0.648285 | + | 0.183894i | ||||
\(700\) | 8.09334 | − | 39.8645i | 0.305899 | − | 1.50674i | ||||
\(701\) | 24.7792i | 0.935897i | 0.883756 | + | 0.467949i | \(0.155007\pi\) | ||||
−0.883756 | + | 0.467949i | \(0.844993\pi\) | |||||||
\(702\) | 41.7848 | + | 15.0525i | 1.57707 | + | 0.568119i | ||||
\(703\) | −1.88256 | + | 5.79392i | −0.0710020 | + | 0.218522i | ||||
\(704\) | −25.5704 | − | 3.55940i | −0.963722 | − | 0.134150i | ||||
\(705\) | −0.832922 | + | 13.3102i | −0.0313697 | + | 0.501292i | ||||
\(706\) | 0.463004 | + | 5.65674i | 0.0174254 | + | 0.212894i | ||||
\(707\) | 64.4940i | 2.42555i | ||||||||
\(708\) | 5.26583 | + | 41.7123i | 0.197902 | + | 1.56764i | ||||
\(709\) | −20.9371 | − | 15.2117i | −0.786310 | − | 0.571287i | 0.120556 | − | 0.992706i | \(-0.461532\pi\) |
−0.906866 | + | 0.421419i | \(0.861532\pi\) | |||||||
\(710\) | −6.21325 | − | 15.9675i | −0.233179 | − | 0.599251i | ||||
\(711\) | −7.07112 | − | 2.90394i | −0.265188 | − | 0.108906i | ||||
\(712\) | −20.4935 | + | 5.12392i | −0.768027 | + | 0.192027i | ||||
\(713\) | 6.97926 | + | 5.07073i | 0.261375 | + | 0.189900i | ||||
\(714\) | −13.3235 | + | 10.6040i | −0.498619 | + | 0.396844i | ||||
\(715\) | 12.4471 | + | 41.7992i | 0.465495 | + | 1.56320i | ||||
\(716\) | −7.64868 | − | 14.7820i | −0.285844 | − | 0.552430i | ||||
\(717\) | 28.0617 | + | 41.8602i | 1.04798 | + | 1.56330i | ||||
\(718\) | −1.90847 | − | 0.451874i | −0.0712236 | − | 0.0168638i | ||||
\(719\) | −7.67165 | − | 23.6109i | −0.286104 | − | 0.880539i | −0.986065 | − | 0.166358i | \(-0.946799\pi\) |
0.699961 | − | 0.714181i | \(-0.253201\pi\) | |||||||
\(720\) | 6.02363 | + | 26.1480i | 0.224488 | + | 0.974477i | ||||
\(721\) | 4.91850 | − | 15.1376i | 0.183174 | − | 0.563753i | ||||
\(722\) | 8.92010 | − | 14.6590i | 0.331972 | − | 0.545552i | ||||
\(723\) | 25.5495 | − | 32.5103i | 0.950195 | − | 1.20907i | ||||
\(724\) | 16.8576 | + | 8.45696i | 0.626508 | + | 0.314300i | ||||
\(725\) | −10.2378 | + | 2.77488i | −0.380222 | + | 0.103057i | ||||
\(726\) | −1.43326 | + | 0.0629741i | −0.0531931 | + | 0.00233719i | ||||
\(727\) | −6.99800 | + | 5.08435i | −0.259542 | + | 0.188568i | −0.709945 | − | 0.704257i | \(-0.751280\pi\) |
0.450403 | + | 0.892825i | \(0.351280\pi\) | |||||||
\(728\) | −36.8880 | − | 58.9469i | −1.36716 | − | 2.18472i | ||||
\(729\) | −26.3101 | − | 6.06467i | −0.974447 | − | 0.224617i | ||||
\(730\) | 8.22157 | + | 2.16274i | 0.304294 | + | 0.0800466i | ||||
\(731\) | −2.74785 | − | 8.45702i | −0.101633 | − | 0.312794i | ||||
\(732\) | 21.0006 | + | 4.00796i | 0.776205 | + | 0.148138i | ||||
\(733\) | 49.4782 | − | 16.0764i | 1.82752 | − | 0.593797i | 0.828068 | − | 0.560627i | \(-0.189440\pi\) |
0.999450 | − | 0.0331691i | \(-0.0105600\pi\) | |||||||
\(734\) | −6.53488 | − | 7.60308i | −0.241207 | − | 0.280635i | ||||
\(735\) | −9.20725 | − | 35.8099i | −0.339615 | − | 1.32087i | ||||
\(736\) | 13.3144 | − | 22.5099i | 0.490774 | − | 0.829725i | ||||
\(737\) | 8.30661 | + | 6.03511i | 0.305978 | + | 0.222306i | ||||
\(738\) | 9.44790 | − | 29.6980i | 0.347782 | − | 1.09320i | ||||
\(739\) | −6.41467 | − | 8.82904i | −0.235968 | − | 0.324781i | 0.674568 | − | 0.738213i | \(-0.264330\pi\) |
−0.910535 | + | 0.413432i | \(0.864330\pi\) | |||||||
\(740\) | 4.54827 | + | 9.34972i | 0.167198 | + | 0.343702i | ||||
\(741\) | 25.7496 | + | 9.45534i | 0.945935 | + | 0.347351i | ||||
\(742\) | −3.34632 | − | 40.8836i | −0.122847 | − | 1.50089i | ||||
\(743\) | − | 29.0732i | − | 1.06659i | −0.845929 | − | 0.533296i | \(-0.820953\pi\) | ||
0.845929 | − | 0.533296i | \(-0.179047\pi\) | |||||||
\(744\) | −9.08925 | − | 0.975488i | −0.333228 | − | 0.0357631i | ||||
\(745\) | −8.38748 | − | 28.1664i | −0.307293 | − | 1.03194i | ||||
\(746\) | 45.4779 | + | 27.6736i | 1.66506 | + | 1.01320i | ||||
\(747\) | −17.7128 | + | 4.30915i | −0.648079 | + | 0.157664i | ||||
\(748\) | 10.8833 | − | 1.79362i | 0.397934 | − | 0.0655812i | ||||
\(749\) | 81.5241i | 2.97882i | ||||||||
\(750\) | 25.7774 | + | 9.24805i | 0.941257 | + | 0.337691i | ||||
\(751\) | − | 23.4495i | − | 0.855686i | −0.903853 | − | 0.427843i | \(-0.859274\pi\) | ||
0.903853 | − | 0.427843i | \(-0.140726\pi\) | |||||||
\(752\) | −4.09205 | + | 13.1517i | −0.149222 | + | 0.479595i | ||||
\(753\) | −0.995611 | + | 26.3554i | −0.0362821 | + | 0.960444i | ||||
\(754\) | −9.42589 | + | 15.4902i | −0.343271 | + | 0.564120i | ||||
\(755\) | 3.63253 | + | 12.1986i | 0.132201 | + | 0.443952i | ||||
\(756\) | 26.5280 | + | 32.9138i | 0.964815 | + | 1.19706i | ||||
\(757\) | − | 6.39980i | − | 0.232605i | −0.993214 | − | 0.116302i | \(-0.962896\pi\) | ||
0.993214 | − | 0.116302i | \(-0.0371041\pi\) | |||||||
\(758\) | −30.7622 | + | 2.51789i | −1.11733 | + | 0.0914537i | ||||
\(759\) | −8.90754 | + | 24.2578i | −0.323323 | + | 0.880502i | ||||
\(760\) | 3.62093 | + | 16.1722i | 0.131345 | + | 0.586627i | ||||
\(761\) | 0.969420 | + | 1.33429i | 0.0351414 | + | 0.0483680i | 0.826226 | − | 0.563339i | \(-0.190483\pi\) |
−0.791085 | + | 0.611707i | \(0.790483\pi\) | |||||||
\(762\) | 43.3298 | + | 28.6621i | 1.56967 | + | 1.03832i | ||||
\(763\) | 14.8773 | + | 10.8090i | 0.538595 | + | 0.391312i | ||||
\(764\) | −6.11324 | + | 1.00749i | −0.221169 | + | 0.0364496i | ||||
\(765\) | −5.77635 | − | 9.90256i | −0.208845 | − | 0.358028i | ||||
\(766\) | −19.5356 | + | 16.7909i | −0.705849 | + | 0.606681i | ||||
\(767\) | 69.7637 | − | 22.6676i | 2.51902 | − | 0.818480i | ||||
\(768\) | −0.352875 | + | 27.7106i | −0.0127333 | + | 0.999919i | ||||
\(769\) | −10.2666 | − | 31.5974i | −0.370224 | − | 1.13943i | −0.946645 | − | 0.322279i | \(-0.895551\pi\) |
0.576421 | − | 0.817153i | \(-0.304449\pi\) | |||||||
\(770\) | −10.5607 | + | 40.1461i | −0.380581 | + | 1.44676i | ||||
\(771\) | −0.921159 | + | 24.3845i | −0.0331747 | + | 0.878188i | ||||
\(772\) | −11.5868 | − | 11.4427i | −0.417019 | − | 0.411834i | ||||
\(773\) | 17.3306 | − | 12.5914i | 0.623337 | − | 0.452881i | −0.230749 | − | 0.973013i | \(-0.574118\pi\) |
0.854085 | + | 0.520133i | \(0.174118\pi\) | |||||||
\(774\) | −20.9527 | + | 6.95073i | −0.753130 | + | 0.249839i | ||||
\(775\) | −5.85059 | + | 7.26764i | −0.210159 | + | 0.261061i | ||||
\(776\) | 28.5226 | − | 34.0374i | 1.02390 | − | 1.22187i | ||||
\(777\) | 12.8791 | + | 10.1215i | 0.462035 | + | 0.363108i | ||||
\(778\) | −4.21898 | − | 2.56727i | −0.151258 | − | 0.0920412i | ||||
\(779\) | 5.94796 | − | 18.3059i | 0.213108 | − | 0.655879i | ||||
\(780\) | 42.8419 | − | 18.8756i | 1.53399 | − | 0.675855i | ||||
\(781\) | 5.40320 | + | 16.6293i | 0.193342 | + | 0.595045i | ||||
\(782\) | −2.57443 | + | 10.8730i | −0.0920613 | + | 0.388817i | ||||
\(783\) | 4.56957 | − | 10.0316i | 0.163303 | − | 0.358499i | ||||
\(784\) | −0.477801 | − | 38.1843i | −0.0170643 | − | 1.36372i | ||||
\(785\) | 4.32783 | + | 14.5335i | 0.154467 | + | 0.518723i | ||||
\(786\) | −0.183036 | + | 0.145676i | −0.00652869 | + | 0.00519610i | ||||
\(787\) | −20.1032 | − | 14.6058i | −0.716601 | − | 0.520641i | 0.168696 | − | 0.985668i | \(-0.446045\pi\) |
−0.885296 | + | 0.465027i | \(0.846045\pi\) | |||||||
\(788\) | 4.28074 | + | 8.27305i | 0.152495 | + | 0.294715i | ||||
\(789\) | −34.9973 | − | 27.5040i | −1.24594 | − | 0.979167i | ||||
\(790\) | −7.50922 | + | 2.92197i | −0.267166 | + | 0.103959i | ||||
\(791\) | 23.0655 | + | 16.7580i | 0.820113 | + | 0.595847i | ||||
\(792\) | −4.61888 | − | 26.9907i | −0.164125 | − | 0.959072i | ||||
\(793\) | − | 37.3015i | − | 1.32462i | ||||||
\(794\) | 14.0784 | − | 1.15231i | 0.499622 | − | 0.0408940i | ||||
\(795\) | 27.5629 | + | 1.72482i | 0.977554 | + | 0.0611729i | ||||
\(796\) | 20.9834 | + | 20.7224i | 0.743736 | + | 0.734488i | ||||
\(797\) | −8.62486 | + | 26.5446i | −0.305508 | + | 0.940257i | 0.673979 | + | 0.738751i | \(0.264584\pi\) |
−0.979487 | + | 0.201507i | \(0.935416\pi\) | |||||||
\(798\) | 16.2590 | + | 20.4288i | 0.575562 | + | 0.723170i | ||||
\(799\) | − | 5.88471i | − | 0.208186i | ||||||
\(800\) | 23.6026 | + | 15.5858i | 0.834477 | + | 0.551043i | ||||
\(801\) | −11.7647 | − | 19.0686i | −0.415685 | − | 0.673755i | ||||
\(802\) | 12.9323 | + | 30.9472i | 0.456655 | + | 1.09278i | ||||
\(803\) | −8.25098 | − | 2.68091i | −0.291171 | − | 0.0946071i | ||||
\(804\) | 5.31049 | − | 9.65778i | 0.187287 | − | 0.340604i | ||||
\(805\) | −33.3988 | − | 25.5514i | −1.17715 | − | 0.900568i | ||||
\(806\) | 1.30110 | + | 15.8961i | 0.0458292 | + | 0.559917i | ||||
\(807\) | −2.26130 | − | 7.97181i | −0.0796014 | − | 0.280621i | ||||
\(808\) | −41.5899 | − | 16.7716i | −1.46313 | − | 0.590023i | ||||
\(809\) | −7.65853 | + | 10.5411i | −0.269260 | + | 0.370604i | −0.922140 | − | 0.386857i | \(-0.873561\pi\) |
0.652880 | + | 0.757461i | \(0.273561\pi\) | |||||||
\(810\) | −24.4951 | + | 14.4911i | −0.860669 | + | 0.509166i | ||||
\(811\) | 19.3916 | + | 26.6902i | 0.680930 | + | 0.937219i | 0.999945 | − | 0.0105305i | \(-0.00335204\pi\) |
−0.319015 | + | 0.947750i | \(0.603352\pi\) | |||||||
\(812\) | −15.3286 | + | 7.93151i | −0.537929 | + | 0.278341i | ||||
\(813\) | 17.8386 | − | 48.5797i | 0.625628 | − | 1.70377i | ||||
\(814\) | −4.09111 | − | 9.79008i | −0.143393 | − | 0.343142i | ||||
\(815\) | −31.3812 | − | 11.0617i | −1.09923 | − | 0.387476i | ||||
\(816\) | −3.37338 | − | 11.3494i | −0.118092 | − | 0.397309i | ||||
\(817\) | −12.9671 | + | 4.21326i | −0.453660 | + | 0.147403i | ||||
\(818\) | −31.9676 | − | 7.56905i | −1.11772 | − | 0.264646i | ||||
\(819\) | 47.7307 | − | 56.2288i | 1.66785 | − | 1.96479i | ||||
\(820\) | −14.3703 | − | 29.5405i | −0.501833 | − | 1.03160i | ||||
\(821\) | −28.5949 | − | 9.29105i | −0.997969 | − | 0.324260i | −0.235915 | − | 0.971774i | \(-0.575809\pi\) |
−0.762054 | + | 0.647514i | \(0.775809\pi\) | |||||||
\(822\) | −9.52212 | + | 34.3725i | −0.332122 | + | 1.19888i | ||||
\(823\) | 8.40793 | − | 6.10872i | 0.293082 | − | 0.212937i | −0.431521 | − | 0.902103i | \(-0.642023\pi\) |
0.724603 | + | 0.689166i | \(0.242023\pi\) | |||||||
\(824\) | 8.48264 | + | 7.10828i | 0.295507 | + | 0.247629i | ||||
\(825\) | −25.7263 | − | 10.9192i | −0.895676 | − | 0.380157i | ||||
\(826\) | 67.9414 | + | 16.0867i | 2.36398 | + | 0.559727i | ||||
\(827\) | 2.26634 | + | 3.11935i | 0.0788085 | + | 0.108471i | 0.846601 | − | 0.532228i | \(-0.178645\pi\) |
−0.767793 | + | 0.640698i | \(0.778645\pi\) | |||||||
\(828\) | 27.0317 | + | 6.22502i | 0.939416 | + | 0.216334i | ||||
\(829\) | −11.8363 | + | 36.4284i | −0.411092 | + | 1.26521i | 0.504608 | + | 0.863349i | \(0.331637\pi\) |
−0.915700 | + | 0.401862i | \(0.868363\pi\) | |||||||
\(830\) | −10.3918 | + | 16.1632i | −0.360704 | + | 0.561032i | ||||
\(831\) | 8.47203 | − | 5.67937i | 0.293891 | − | 0.197015i | ||||
\(832\) | 47.6055 | − | 8.45871i | 1.65042 | − | 0.293253i | ||||
\(833\) | 5.04170 | + | 15.5168i | 0.174685 | + | 0.537624i | ||||
\(834\) | 2.02483 | − | 3.06102i | 0.0701140 | − | 0.105994i | ||||
\(835\) | 25.5871 | − | 17.6399i | 0.885479 | − | 0.610455i | ||||
\(836\) | −2.75014 | − | 16.6873i | −0.0951154 | − | 0.577143i | ||||
\(837\) | −1.93469 | − | 9.50099i | −0.0668727 | − | 0.328402i | ||||
\(838\) | −1.27861 | − | 1.48761i | −0.0441687 | − | 0.0513886i | ||||
\(839\) | 4.43162 | − | 3.21976i | 0.152996 | − | 0.111158i | −0.508653 | − | 0.860971i | \(-0.669857\pi\) |
0.661650 | + | 0.749813i | \(0.269857\pi\) | |||||||
\(840\) | 44.1747 | + | 5.84950i | 1.52417 | + | 0.201827i | ||||
\(841\) | −19.8205 | − | 14.4004i | −0.683466 | − | 0.496567i | ||||
\(842\) | −2.07642 | − | 25.3686i | −0.0715581 | − | 0.874260i | ||||
\(843\) | 8.34056 | + | 29.4032i | 0.287264 | + | 1.01270i | ||||
\(844\) | −38.4851 | − | 5.84888i | −1.32471 | − | 0.201327i | ||||
\(845\) | −29.8621 | − | 43.3156i | −1.02729 | − | 1.49010i | ||||
\(846\) | −14.6089 | + | 0.0898617i | −0.502264 | + | 0.00308951i | ||||
\(847\) | −0.736218 | + | 2.26585i | −0.0252968 | + | 0.0778554i | ||||
\(848\) | 27.2346 | + | 8.47383i | 0.935242 | + | 0.290993i | ||||
\(849\) | −6.22868 | + | 1.76684i | −0.213768 | + | 0.0606377i | ||||
\(850\) | −11.6071 | − | 3.36239i | −0.398119 | − | 0.115329i | ||||
\(851\) | 10.7485 | 0.368454 | ||||||||
\(852\) | 16.9835 | − | 7.99004i | 0.581845 | − | 0.273734i | ||||
\(853\) | −10.1345 | − | 3.29290i | −0.346999 | − | 0.112747i | 0.130332 | − | 0.991470i | \(-0.458396\pi\) |
−0.477331 | + | 0.878724i | \(0.658396\pi\) | |||||||
\(854\) | 18.4562 | − | 30.3304i | 0.631558 | − | 1.03788i | ||||
\(855\) | −15.1835 | + | 8.85683i | −0.519265 | + | 0.302897i | ||||
\(856\) | −52.5720 | − | 21.2003i | −1.79687 | − | 0.724610i | ||||
\(857\) | 54.9309 | 1.87640 | 0.938202 | − | 0.346089i | \(-0.112491\pi\) | ||||
0.938202 | + | 0.346089i | \(0.112491\pi\) | |||||||
\(858\) | −44.7456 | + | 16.7438i | −1.52759 | + | 0.571623i | ||||
\(859\) | 11.1566 | − | 15.3558i | 0.380659 | − | 0.523932i | −0.575100 | − | 0.818083i | \(-0.695037\pi\) |
0.955759 | + | 0.294151i | \(0.0950368\pi\) | |||||||
\(860\) | −10.9456 | + | 20.5347i | −0.373241 | + | 0.700226i | ||||
\(861\) | −40.6916 | − | 31.9791i | −1.38677 | − | 1.08984i | ||||
\(862\) | 24.0320 | + | 27.9603i | 0.818533 | + | 0.952330i | ||||
\(863\) | −10.2671 | + | 14.1315i | −0.349497 | + | 0.481042i | −0.947185 | − | 0.320687i | \(-0.896086\pi\) |
0.597688 | + | 0.801729i | \(0.296086\pi\) | |||||||
\(864\) | −28.1236 | + | 8.54778i | −0.956783 | + | 0.290801i | ||||
\(865\) | −17.9613 | + | 23.4776i | −0.610702 | + | 0.798263i | ||||
\(866\) | 8.92374 | − | 7.67000i | 0.303241 | − | 0.260637i | ||||
\(867\) | −13.5789 | − | 20.2559i | −0.461164 | − | 0.687927i | ||||
\(868\) | −6.80721 | + | 13.5691i | −0.231052 | + | 0.460566i | ||||
\(869\) | 7.82045 | − | 2.54102i | 0.265291 | − | 0.0861981i | ||||
\(870\) | −3.80184 | − | 10.9800i | −0.128895 | − | 0.372257i | ||||
\(871\) | −18.2883 | − | 5.94224i | −0.619676 | − | 0.201345i | ||||
\(872\) | −10.8392 | + | 6.78299i | −0.367061 | + | 0.229701i | ||||
\(873\) | 43.5708 | + | 17.8935i | 1.47465 | + | 0.605603i | ||||
\(874\) | 16.6714 | + | 3.94734i | 0.563920 | + | 0.133521i | ||||
\(875\) | 29.3864 | − | 34.7101i | 0.993443 | − | 1.17342i | ||||
\(876\) | −1.74581 | + | 9.14758i | −0.0589855 | + | 0.309068i | ||||
\(877\) | −14.9247 | − | 20.5421i | −0.503972 | − | 0.693658i | 0.478916 | − | 0.877861i | \(-0.341030\pi\) |
−0.982888 | + | 0.184202i | \(0.941030\pi\) | |||||||
\(878\) | 11.1555 | + | 6.78820i | 0.376480 | + | 0.229090i | ||||
\(879\) | 0.599325 | − | 15.8651i | 0.0202147 | − | 0.535116i | ||||
\(880\) | −23.1425 | − | 17.2502i | −0.780134 | − | 0.581504i | ||||
\(881\) | 23.0645 | − | 7.49412i | 0.777064 | − | 0.252483i | 0.106478 | − | 0.994315i | \(-0.466043\pi\) |
0.670586 | + | 0.741832i | \(0.266043\pi\) | |||||||
\(882\) | 38.4436 | − | 12.7530i | 1.29446 | − | 0.429417i | ||||
\(883\) | 4.89375 | + | 15.0614i | 0.164688 | + | 0.506857i | 0.999013 | − | 0.0444154i | \(-0.0141425\pi\) |
−0.834325 | + | 0.551272i | \(0.814143\pi\) | |||||||
\(884\) | −18.3471 | + | 9.49338i | −0.617081 | + | 0.319297i | ||||
\(885\) | −17.2893 | + | 43.7108i | −0.581175 | + | 1.46932i | ||||
\(886\) | −4.98215 | − | 11.9224i | −0.167379 | − | 0.400540i | ||||
\(887\) | 24.7206 | − | 34.0250i | 0.830038 | − | 1.14245i | −0.157878 | − | 0.987459i | \(-0.550465\pi\) |
0.987916 | − | 0.154990i | \(-0.0495346\pi\) | |||||||
\(888\) | −9.87622 | + | 5.67318i | −0.331424 | + | 0.190380i | ||||
\(889\) | 69.7975 | − | 50.7108i | 2.34093 | − | 1.70079i | ||||
\(890\) | −22.8407 | − | 6.00840i | −0.765622 | − | 0.201402i | ||||
\(891\) | 25.7983 | − | 13.3420i | 0.864275 | − | 0.446972i | ||||
\(892\) | −3.79591 | + | 24.9768i | −0.127097 | + | 0.836285i | ||||
\(893\) | −9.02296 | −0.301942 | ||||||||
\(894\) | 30.1518 | − | 11.2828i | 1.00843 | − | 0.377354i | ||||
\(895\) | 0.460275 | − | 18.6024i | 0.0153853 | − | 0.621811i | ||||
\(896\) | 42.8939 | + | 16.6766i | 1.43298 | + | 0.557125i | ||||
\(897\) | 1.82696 | − | 48.3626i | 0.0610006 | − | 1.61478i | ||||
\(898\) | 2.37307 | + | 5.67879i | 0.0791904 | + | 0.189504i | ||||
\(899\) | 3.95858 | 0.132026 | ||||||||
\(900\) | −8.16995 | + | 28.8661i | −0.272332 | + | 0.962203i | ||||
\(901\) | −12.1861 | −0.405976 | ||||||||
\(902\) | 12.9259 | + | 30.9319i | 0.430385 | + | 1.02992i | ||||
\(903\) | −1.38390 | + | 36.6339i | −0.0460532 | + | 1.21910i | ||||
\(904\) | −16.8048 | + | 10.5162i | −0.558920 | + | 0.349763i | ||||
\(905\) | 11.9684 | + | 17.3604i | 0.397842 | + | 0.577079i | ||||
\(906\) | −13.0585 | + | 4.88647i | −0.433838 | + | 0.162342i | ||||
\(907\) | 14.1332 | 0.469285 | 0.234643 | − | 0.972082i | \(-0.424608\pi\) | ||||
0.234643 | + | 0.972082i | \(0.424608\pi\) | |||||||
\(908\) | −46.3680 | − | 7.04690i | −1.53878 | − | 0.233859i | ||||
\(909\) | 3.58851 | − | 47.4290i | 0.119023 | − | 1.57312i | ||||
\(910\) | −4.42367 | − | 77.6193i | −0.146643 | − | 2.57305i | ||||
\(911\) | 45.4322 | − | 33.0084i | 1.50524 | − | 1.09362i | 0.537000 | − | 0.843582i | \(-0.319557\pi\) |
0.968236 | − | 0.250036i | \(-0.0804426\pi\) | |||||||
\(912\) | −17.4019 | + | 5.17237i | −0.576236 | + | 0.171274i | ||||
\(913\) | 11.5262 | − | 15.8645i | 0.381462 | − | 0.525038i | ||||
\(914\) | 4.43329 | + | 10.6089i | 0.146640 | + | 0.350912i | ||||
\(915\) | 18.4228 | + | 15.2303i | 0.609040 | + | 0.503497i | ||||
\(916\) | −8.82082 | − | 17.0473i | −0.291448 | − | 0.563260i | ||||
\(917\) | 0.120047 | + | 0.369468i | 0.00396431 | + | 0.0122009i | ||||
\(918\) | 10.3881 | − | 7.05686i | 0.342859 | − | 0.232911i | ||||
\(919\) | 15.7263 | − | 5.10978i | 0.518763 | − | 0.168556i | −0.0379210 | − | 0.999281i | \(-0.512074\pi\) |
0.556684 | + | 0.830725i | \(0.312074\pi\) | |||||||
\(920\) | 25.1625 | − | 14.8931i | 0.829584 | − | 0.491012i | ||||
\(921\) | −0.468034 | + | 12.3896i | −0.0154222 | + | 0.408251i | ||||
\(922\) | −32.4740 | − | 19.7606i | −1.06947 | − | 0.650781i | ||||
\(923\) | −19.2481 | − | 26.4928i | −0.633561 | − | 0.872021i | ||||
\(924\) | −44.6678 | − | 8.52483i | −1.46946 | − | 0.280446i | ||||
\(925\) | −0.574893 | + | 11.6103i | −0.0189024 | + | 0.381745i | ||||
\(926\) | −27.5687 | − | 6.52752i | −0.905964 | − | 0.214508i | ||||
\(927\) | −4.45934 | + | 10.8585i | −0.146464 | + | 0.356641i | ||||
\(928\) | −1.12856 | − | 11.9475i | −0.0370466 | − | 0.392195i | ||||
\(929\) | 21.1373 | + | 6.86792i | 0.693492 | + | 0.225329i | 0.634493 | − | 0.772929i | \(-0.281209\pi\) |
0.0589992 | + | 0.998258i | \(0.481209\pi\) | |||||||
\(930\) | −8.38217 | − | 5.84781i | −0.274862 | − | 0.191757i | ||||
\(931\) | 23.7917 | − | 7.73039i | 0.779741 | − | 0.253353i | ||||
\(932\) | −18.3880 | − | 9.22469i | −0.602318 | − | 0.302165i | ||||
\(933\) | −10.8189 | − | 16.1388i | −0.354196 | − | 0.528361i | ||||
\(934\) | −2.99244 | + | 2.57201i | −0.0979155 | + | 0.0841589i | ||||
\(935\) | 11.6307 | + | 4.09976i | 0.380363 | + | 0.134077i | ||||
\(936\) | 23.8476 | + | 45.4021i | 0.779485 | + | 1.48401i | ||||
\(937\) | 18.7111 | − | 25.7536i | 0.611263 | − | 0.841332i | −0.385417 | − | 0.922742i | \(-0.625942\pi\) |
0.996681 | + | 0.0814105i | \(0.0259425\pi\) | |||||||
\(938\) | −11.9304 | − | 13.8805i | −0.389540 | − | 0.453214i | ||||
\(939\) | −3.37513 | − | 2.65248i | −0.110143 | − | 0.0865604i | ||||
\(940\) | −11.0884 | + | 10.6859i | −0.361664 | + | 0.348537i | ||||
\(941\) | 27.9137 | − | 38.4199i | 0.909961 | − | 1.25245i | −0.0572187 | − | 0.998362i | \(-0.518223\pi\) |
0.967180 | − | 0.254093i | \(-0.0817768\pi\) | |||||||
\(942\) | −15.5580 | + | 5.82178i | −0.506906 | + | 0.189684i | ||||
\(943\) | −33.9600 | −1.10589 | ||||||||
\(944\) | −28.0418 | + | 39.6297i | −0.912684 | + | 1.28984i | ||||
\(945\) | 8.28228 | + | 46.5320i | 0.269422 | + | 1.51369i | ||||
\(946\) | 12.3443 | − | 20.2862i | 0.401347 | − | 0.659561i | ||||
\(947\) | −9.26886 | − | 3.01163i | −0.301197 | − | 0.0978650i | 0.154519 | − | 0.987990i | \(-0.450617\pi\) |
−0.455717 | + | 0.890125i | \(0.650617\pi\) | |||||||
\(948\) | −3.75756 | − | 7.98701i | −0.122040 | − | 0.259406i | ||||
\(949\) | 16.2480 | 0.527433 | ||||||||
\(950\) | −5.15553 | + | 17.7970i | −0.167267 | + | 0.577411i | ||||
\(951\) | −22.3159 | + | 6.33015i | −0.723641 | + | 0.205269i | ||||
\(952\) | −19.6155 | − | 1.35869i | −0.635741 | − | 0.0440352i | ||||
\(953\) | −5.08826 | + | 15.6601i | −0.164825 | + | 0.507279i | −0.999023 | − | 0.0441853i | \(-0.985931\pi\) |
0.834198 | + | 0.551465i | \(0.185931\pi\) | |||||||
\(954\) | 0.186086 | + | 30.2521i | 0.00602475 | + | 0.979447i | ||||
\(955\) | −6.53301 | − | 2.30286i | −0.211403 | − | 0.0745189i | ||||
\(956\) | −8.74348 | + | 57.5314i | −0.282784 | + | 1.86070i | ||||
\(957\) | 3.23595 | + | 11.4078i | 0.104603 | + | 0.368761i | ||||
\(958\) | −2.42273 | − | 29.5996i | −0.0782747 | − | 0.956319i | ||||
\(959\) | 47.9189 | + | 34.8151i | 1.54738 | + | 1.12424i | ||||
\(960\) | −15.2597 | + | 26.9655i | −0.492506 | + | 0.870309i | ||||
\(961\) | −22.2626 | + | 16.1747i | −0.718148 | + | 0.521765i | ||||
\(962\) | 12.9529 | + | 15.0702i | 0.417619 | + | 0.485883i | ||||
\(963\) | 4.53608 | − | 59.9529i | 0.146173 | − | 1.93196i | ||||
\(964\) | 47.1096 | − | 7.76386i | 1.51730 | − | 0.250057i | ||||
\(965\) | −5.19619 | − | 17.4496i | −0.167271 | − | 0.561722i | ||||
\(966\) | 25.4146 | − | 38.4203i | 0.817702 | − | 1.23615i | ||||
\(967\) | 3.91949 | + | 12.0629i | 0.126042 | + | 0.387918i | 0.994090 | − | 0.108564i | \(-0.0346251\pi\) |
−0.868047 | + | 0.496481i | \(0.834625\pi\) | |||||||
\(968\) | −1.26971 | − | 1.06399i | −0.0408101 | − | 0.0341980i | ||||
\(969\) | 6.44264 | − | 4.31893i | 0.206967 | − | 0.138744i | ||||
\(970\) | 46.2703 | − | 18.0046i | 1.48565 | − | 0.578091i | ||||
\(971\) | −2.55368 | + | 7.85942i | −0.0819515 | + | 0.252221i | −0.983634 | − | 0.180178i | \(-0.942333\pi\) |
0.901683 | + | 0.432399i | \(0.142333\pi\) | |||||||
\(972\) | −17.6774 | − | 25.6809i | −0.567003 | − | 0.823716i | ||||
\(973\) | −3.58245 | − | 4.93082i | −0.114848 | − | 0.158075i | ||||
\(974\) | 6.79544 | + | 1.60898i | 0.217740 | + | 0.0515549i | ||||
\(975\) | 52.1426 | + | 4.56017i | 1.66990 | + | 0.146042i | ||||
\(976\) | 14.7595 | + | 19.7892i | 0.472439 | + | 0.633435i | ||||
\(977\) | −45.1996 | + | 32.8394i | −1.44606 | + | 1.05063i | −0.459330 | + | 0.888266i | \(0.651911\pi\) |
−0.986732 | + | 0.162360i | \(0.948089\pi\) | |||||||
\(978\) | 9.73100 | − | 35.1265i | 0.311163 | − | 1.12322i | ||||
\(979\) | 22.9224 | + | 7.44794i | 0.732603 | + | 0.238037i | ||||
\(980\) | 20.0827 | − | 37.6765i | 0.641518 | − | 1.20353i | ||||
\(981\) | −10.3394 | − | 8.77674i | −0.330111 | − | 0.280220i | ||||
\(982\) | −22.6860 | − | 5.37142i | −0.723938 | − | 0.171409i | ||||
\(983\) | −25.4057 | + | 8.25480i | −0.810315 | + | 0.263287i | −0.684731 | − | 0.728796i | \(-0.740080\pi\) |
−0.125584 | + | 0.992083i | \(0.540080\pi\) | |||||||
\(984\) | 31.2040 | − | 17.9245i | 0.994748 | − | 0.571412i | ||||
\(985\) | −0.257602 | + | 10.4112i | −0.00820788 | + | 0.331729i | ||||
\(986\) | 1.97691 | + | 4.73076i | 0.0629575 | + | 0.150658i | ||||
\(987\) | −8.36269 | + | 22.7740i | −0.266187 | + | 0.724905i | ||||
\(988\) | 14.5561 | + | 28.1315i | 0.463091 | + | 0.894982i | ||||
\(989\) | 14.1396 | + | 19.4614i | 0.449612 | + | 0.618838i | ||||
\(990\) | 10.0001 | − | 28.9359i | 0.317825 | − | 0.919643i | ||||
\(991\) | 6.45863 | − | 8.88954i | 0.205165 | − | 0.282385i | −0.694018 | − | 0.719957i | \(-0.744161\pi\) |
0.899183 | + | 0.437572i | \(0.144161\pi\) | |||||||
\(992\) | −6.98003 | − | 7.91837i | −0.221616 | − | 0.251409i | ||||
\(993\) | −11.6413 | − | 41.0393i | −0.369424 | − | 1.30234i | ||||
\(994\) | −2.54270 | − | 31.0653i | −0.0806494 | − | 0.985332i | ||||
\(995\) | 9.41014 | + | 31.6007i | 0.298321 | + | 1.00181i | ||||
\(996\) | −18.4450 | − | 10.1423i | −0.584453 | − | 0.321371i | ||||
\(997\) | 26.1226 | + | 8.48774i | 0.827310 | + | 0.268809i | 0.691912 | − | 0.721982i | \(-0.256769\pi\) |
0.135398 | + | 0.990791i | \(0.456769\pi\) | |||||||
\(998\) | 16.0864 | + | 38.4950i | 0.509207 | + | 1.21854i | ||||
\(999\) | −8.90813 | − | 8.15999i | −0.281841 | − | 0.258171i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.r.a.239.7 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.239.50 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.239.17 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.239.40 | yes | 224 | |
25.9 | even | 10 | inner | 300.2.r.a.59.40 | yes | 224 | |
75.59 | odd | 10 | inner | 300.2.r.a.59.17 | yes | 224 | |
100.59 | odd | 10 | inner | 300.2.r.a.59.50 | yes | 224 | |
300.59 | even | 10 | inner | 300.2.r.a.59.7 | ✓ | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.7 | ✓ | 224 | 300.59 | even | 10 | inner | |
300.2.r.a.59.17 | yes | 224 | 75.59 | odd | 10 | inner | |
300.2.r.a.59.40 | yes | 224 | 25.9 | even | 10 | inner | |
300.2.r.a.59.50 | yes | 224 | 100.59 | odd | 10 | inner | |
300.2.r.a.239.7 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.17 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.40 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.50 | yes | 224 | 3.2 | odd | 2 | inner |