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 | 59.50 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.50 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 | ||||
\(3\) | 0.964452 | + | 1.43869i | 0.556826 | + | 0.830629i | ||||
\(4\) | 1.40534 | + | 1.42303i | 0.702669 | + | 0.711517i | ||||
\(5\) | −2.14307 | − | 0.638169i | −0.958409 | − | 0.285398i | ||||
\(6\) | 0.473987 | + | 2.40319i | 0.193505 | + | 0.981099i | ||||
\(7\) | 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 | ||||
\(9\) | −1.13967 | + | 2.77510i | −0.379889 | + | 0.925032i | ||||
\(10\) | −2.44843 | − | 2.00130i | −0.774262 | − | 0.632866i | ||||
\(11\) | −2.61080 | − | 1.89685i | −0.787185 | − | 0.571923i | 0.119942 | − | 0.992781i | \(-0.461729\pi\) |
−0.907127 | + | 0.420858i | \(0.861729\pi\) | |||||||
\(12\) | −0.691925 | + | 3.39430i | −0.199742 | + | 0.979849i | ||||
\(13\) | −3.55251 | − | 4.88961i | −0.985289 | − | 1.35613i | −0.933931 | − | 0.357454i | \(-0.883645\pi\) |
−0.0513583 | − | 0.998680i | \(-0.516355\pi\) | |||||||
\(14\) | 5.30790 | + | 2.21808i | 1.41859 | + | 0.592807i | ||||
\(15\) | −1.14876 | − | 3.69870i | −0.296608 | − | 0.954999i | ||||
\(16\) | −0.0500482 | + | 3.99969i | −0.0125121 | + | 0.999922i | ||||
\(17\) | −0.528103 | + | 1.62533i | −0.128084 | + | 0.394201i | −0.994450 | − | 0.105207i | \(-0.966449\pi\) |
0.866367 | + | 0.499409i | \(0.166449\pi\) | |||||||
\(18\) | −3.00032 | + | 2.99968i | −0.707181 | + | 0.707032i | ||||
\(19\) | 2.49211 | + | 0.809734i | 0.571728 | + | 0.185766i | 0.580592 | − | 0.814195i | \(-0.302821\pi\) |
−0.00886323 | + | 0.999961i | \(0.502821\pi\) | |||||||
\(20\) | −2.10360 | − | 3.94650i | −0.470379 | − | 0.882464i | ||||
\(21\) | 3.92317 | + | 5.85228i | 0.856107 | + | 1.27707i | ||||
\(22\) | −2.37242 | − | 3.89875i | −0.505801 | − | 0.831217i | ||||
\(23\) | 2.71745 | − | 3.74024i | 0.566627 | − | 0.779895i | −0.425523 | − | 0.904947i | \(-0.639910\pi\) |
0.992150 | + | 0.125053i | \(0.0399099\pi\) | |||||||
\(24\) | −2.75371 | + | 4.05180i | −0.562099 | + | 0.827070i | ||||
\(25\) | 4.18548 | + | 2.73528i | 0.837096 | + | 0.547056i | ||||
\(26\) | −1.96933 | − | 8.31739i | −0.386218 | − | 1.63117i | ||||
\(27\) | −5.09166 | + | 1.03682i | −0.979891 | + | 0.199536i | ||||
\(28\) | 5.71660 | + | 5.78858i | 1.08034 | + | 1.09394i | ||||
\(29\) | 2.01761 | − | 0.655560i | 0.374660 | − | 0.121734i | −0.115633 | − | 0.993292i | \(-0.536890\pi\) |
0.490293 | + | 0.871558i | \(0.336890\pi\) | |||||||
\(30\) | 0.517857 | − | 5.45269i | 0.0945472 | − | 0.995520i | ||||
\(31\) | −1.77466 | − | 0.576623i | −0.318739 | − | 0.103565i | 0.145278 | − | 0.989391i | \(-0.453592\pi\) |
−0.464017 | + | 0.885826i | \(0.653592\pi\) | |||||||
\(32\) | −2.24626 | + | 5.19176i | −0.397086 | + | 0.917781i | ||||
\(33\) | 0.211002 | − | 5.58555i | 0.0367307 | − | 0.972320i | ||||
\(34\) | −1.57536 | + | 1.83287i | −0.270173 | + | 0.314335i | ||||
\(35\) | −8.71752 | − | 2.59593i | −1.47353 | − | 0.438792i | ||||
\(36\) | −5.55067 | + | 2.27817i | −0.925112 | + | 0.379694i | ||||
\(37\) | −1.36655 | − | 1.88089i | −0.224659 | − | 0.309216i | 0.681777 | − | 0.731560i | \(-0.261208\pi\) |
−0.906436 | + | 0.422344i | \(0.861208\pi\) | |||||||
\(38\) | 2.81033 | + | 2.41549i | 0.455895 | + | 0.391844i | ||||
\(39\) | 3.60842 | − | 9.82676i | 0.577809 | − | 1.57354i | ||||
\(40\) | −0.592960 | − | 6.29670i | −0.0937553 | − | 0.995595i | ||||
\(41\) | −4.31762 | − | 5.94269i | −0.674299 | − | 0.928093i | 0.325549 | − | 0.945525i | \(-0.394451\pi\) |
−0.999848 | + | 0.0174325i | \(0.994451\pi\) | |||||||
\(42\) | 1.92808 | + | 9.77566i | 0.297508 | + | 1.50842i | ||||
\(43\) | −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 | ||||
\(45\) | 4.21336 | − | 5.21992i | 0.628091 | − | 0.778140i | ||||
\(46\) | 5.58538 | − | 3.39874i | 0.823519 | − | 0.501117i | ||||
\(47\) | 3.27488 | − | 1.06407i | 0.477690 | − | 0.155211i | −0.0602685 | − | 0.998182i | \(-0.519196\pi\) |
0.537959 | + | 0.842971i | \(0.319196\pi\) | |||||||
\(48\) | −5.80258 | + | 3.78550i | −0.837531 | + | 0.546390i | ||||
\(49\) | 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 | 0.980536 | + | 0.196340i | \(0.0629057\pi\) |
−0.677864 | + | 0.735187i | \(0.737094\pi\) | |||||||
\(54\) | −7.20928 | − | 1.42348i | −0.981059 | − | 0.193711i | ||||
\(55\) | 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 | \(-0.410058\pi\) |
0.999501 | + | 0.0315939i | \(0.0100583\pi\) | |||||||
\(60\) | 3.64898 | − | 6.83264i | 0.471081 | − | 0.882090i | ||||
\(61\) | −4.99307 | − | 3.62768i | −0.639297 | − | 0.464476i | 0.220312 | − | 0.975430i | \(-0.429293\pi\) |
−0.859609 | + | 0.510953i | \(0.829293\pi\) | |||||||
\(62\) | −2.00127 | − | 1.72010i | −0.254162 | − | 0.218453i | ||||
\(63\) | −4.63591 | + | 11.2885i | −0.584070 | + | 1.42221i | ||||
\(64\) | −5.76202 | + | 5.54969i | −0.720253 | + | 0.693712i | ||||
\(65\) | 4.49287 | + | 12.7459i | 0.557272 | + | 1.58093i | ||||
\(66\) | 3.32102 | − | 7.17333i | 0.408790 | − | 0.882976i | ||||
\(67\) | 0.983181 | − | 3.02592i | 0.120115 | − | 0.369675i | −0.872865 | − | 0.487962i | \(-0.837740\pi\) |
0.992979 | + | 0.118287i | \(0.0377404\pi\) | |||||||
\(68\) | −3.05507 | + | 1.53263i | −0.370481 | + | 0.185859i | ||||
\(69\) | 8.00190 | + | 0.302283i | 0.963316 | + | 0.0363906i | ||||
\(70\) | −9.95967 | − | 8.14083i | −1.19041 | − | 0.973015i | ||||
\(71\) | 1.67431 | + | 5.15300i | 0.198704 | + | 0.611548i | 0.999913 | + | 0.0131640i | \(0.00419036\pi\) |
−0.801209 | + | 0.598384i | \(0.795810\pi\) | |||||||
\(72\) | −8.48511 | − | 0.0539770i | −0.999980 | − | 0.00636125i | ||||
\(73\) | −1.58017 | + | 2.17491i | −0.184944 | + | 0.254554i | −0.891415 | − | 0.453189i | \(-0.850286\pi\) |
0.706470 | + | 0.707743i | \(0.250286\pi\) | |||||||
\(74\) | −0.757544 | − | 3.19946i | −0.0880627 | − | 0.371929i | ||||
\(75\) | 0.101469 | + | 8.65966i | 0.0117166 | + | 0.999931i | ||||
\(76\) | 2.34997 | + | 4.68430i | 0.269560 | + | 0.537326i | ||||
\(77\) | −10.6201 | − | 7.71598i | −1.21028 | − | 0.879318i | ||||
\(78\) | 10.0668 | − | 10.8550i | 1.13984 | − | 1.22908i | ||||
\(79\) | 2.42335 | − | 0.787395i | 0.272648 | − | 0.0885888i | −0.169502 | − | 0.985530i | \(-0.554216\pi\) |
0.442150 | + | 0.896941i | \(0.354216\pi\) | |||||||
\(80\) | 2.65973 | − | 8.53966i | 0.297367 | − | 0.954763i | ||||
\(81\) | −6.40232 | − | 6.32537i | −0.711369 | − | 0.702819i | ||||
\(82\) | −2.39347 | − | 10.1087i | −0.264314 | − | 1.11632i | ||||
\(83\) | −5.77909 | − | 1.87774i | −0.634337 | − | 0.206109i | −0.0258418 | − | 0.999666i | \(-0.508227\pi\) |
−0.608495 | + | 0.793557i | \(0.708227\pi\) | |||||||
\(84\) | −2.81460 | + | 13.8072i | −0.307098 | + | 1.50649i | ||||
\(85\) | 2.16900 | − | 3.14618i | 0.235261 | − | 0.341251i | ||||
\(86\) | −6.78954 | − | 2.83723i | −0.732135 | − | 0.305947i | ||||
\(87\) | 2.88903 | + | 2.27046i | 0.309737 | + | 0.243419i | ||||
\(88\) | 2.21401 | − | 8.85509i | 0.236014 | − | 0.943956i | ||||
\(89\) | −4.38993 | + | 6.04222i | −0.465331 | + | 0.640474i | −0.975604 | − | 0.219539i | \(-0.929545\pi\) |
0.510272 | + | 0.860013i | \(0.329545\pi\) | |||||||
\(90\) | 8.34419 | − | 4.51382i | 0.879554 | − | 0.475798i | ||||
\(91\) | −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 | ||||
\(96\) | −9.63574 | + | 1.77553i | −0.983444 | + | 0.181214i | ||||
\(97\) | −14.9322 | + | 4.85176i | −1.51613 | + | 0.492622i | −0.944675 | − | 0.328008i | \(-0.893623\pi\) |
−0.571460 | + | 0.820630i | \(0.693623\pi\) | |||||||
\(98\) | 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 | \(0.710699\pi\) | |||||||
\(102\) | −4.15630 | − | 0.498745i | −0.411535 | − | 0.0493831i | ||||
\(103\) | 1.20914 | + | 3.72134i | 0.119140 | + | 0.366674i | 0.992788 | − | 0.119884i | \(-0.0382522\pi\) |
−0.873648 | + | 0.486558i | \(0.838252\pi\) | |||||||
\(104\) | 9.06835 | − | 14.4912i | 0.889225 | − | 1.42098i | ||||
\(105\) | −4.67289 | − | 15.0455i | −0.456027 | − | 1.46829i | ||||
\(106\) | −0.822642 | + | 10.0506i | −0.0799021 | + | 0.976201i | ||||
\(107\) | 20.0414i | 1.93748i | 0.248083 | + | 0.968739i | \(0.420199\pi\) | ||||
−0.248083 | + | 0.968739i | \(0.579801\pi\) | |||||||
\(108\) | −8.63093 | − | 5.78852i | −0.830512 | − | 0.557001i | ||||
\(109\) | 3.65735 | − | 2.65722i | 0.350311 | − | 0.254516i | −0.398688 | − | 0.917086i | \(-0.630535\pi\) |
0.749000 | + | 0.662571i | \(0.230535\pi\) | |||||||
\(110\) | 2.59618 | + | 9.86929i | 0.247536 | + | 0.941000i | ||||
\(111\) | 1.38805 | − | 3.78007i | 0.131748 | − | 0.358788i | ||||
\(112\) | −0.203585 | + | 16.2698i | −0.0192370 | + | 1.53736i | ||||
\(113\) | −5.67028 | + | 4.11970i | −0.533415 | + | 0.387549i | −0.821634 | − | 0.570016i | \(-0.806937\pi\) |
0.288218 | + | 0.957565i | \(0.406937\pi\) | |||||||
\(114\) | −0.764721 | + | 6.37282i | −0.0716227 | + | 0.596869i | ||||
\(115\) | −8.21058 | + | 6.28141i | −0.765641 | + | 0.585744i | ||||
\(116\) | 3.76830 | + | 1.94984i | 0.349878 | + | 0.181038i | ||||
\(117\) | 17.6178 | − | 4.28603i | 1.62877 | − | 0.396244i | ||||
\(118\) | 16.7023 | − | 3.95466i | 1.53757 | − | 0.364056i | ||||
\(119\) | −2.14820 | + | 6.61149i | −0.196926 | + | 0.606074i | ||||
\(120\) | 8.48712 | − | 6.92595i | 0.774765 | − | 0.632250i | ||||
\(121\) | −0.180988 | − | 0.557023i | −0.0164534 | − | 0.0506385i | ||||
\(122\) | −4.53717 | − | 7.45625i | −0.410776 | − | 0.675057i | ||||
\(123\) | 4.38557 | − | 11.9432i | 0.395433 | − | 1.07688i | ||||
\(124\) | −1.67345 | − | 3.33575i | −0.150280 | − | 0.299560i | ||||
\(125\) | −7.22420 | − | 8.53294i | −0.646152 | − | 0.763209i | ||||
\(126\) | −12.2046 | + | 12.2021i | −1.08727 | + | 1.08705i | ||||
\(127\) | 17.1586 | + | 12.4665i | 1.52258 | + | 1.10622i | 0.960189 | + | 0.279350i | \(0.0901190\pi\) |
0.562393 | + | 0.826870i | \(0.309881\pi\) | |||||||
\(128\) | −10.5448 | + | 4.09967i | −0.932037 | + | 0.362363i | ||||
\(129\) | −5.01829 | − | 7.48588i | −0.441836 | − | 0.659095i | ||||
\(130\) | −1.08749 | + | 19.0815i | −0.0953792 | + | 1.67356i | ||||
\(131\) | −0.0295118 | + | 0.0908279i | −0.00257845 | + | 0.00793567i | −0.952337 | − | 0.305046i | \(-0.901328\pi\) |
0.949759 | + | 0.312982i | \(0.101328\pi\) | |||||||
\(132\) | 8.24496 | − | 7.54933i | 0.717632 | − | 0.657085i | ||||
\(133\) | 10.1373 | + | 3.29382i | 0.879018 | + | 0.285610i | ||||
\(134\) | 2.93289 | − | 3.41230i | 0.253363 | − | 0.294778i | ||||
\(135\) | 11.5734 | + | 1.02737i | 0.996083 | + | 0.0884219i | ||||
\(136\) | −4.82216 | + | 0.334012i | −0.413497 | + | 0.0286413i | ||||
\(137\) | −11.7801 | + | 8.55876i | −1.00644 | + | 0.731224i | −0.963460 | − | 0.267851i | \(-0.913686\pi\) |
−0.0429837 | + | 0.999076i | \(0.513686\pi\) | |||||||
\(138\) | 10.2766 | + | 4.75772i | 0.874799 | + | 0.405004i | ||||
\(139\) | −0.880689 | + | 1.21216i | −0.0746991 | + | 0.102814i | −0.844732 | − | 0.535190i | \(-0.820240\pi\) |
0.770033 | + | 0.638005i | \(0.220240\pi\) | |||||||
\(140\) | −8.55698 | − | 16.0535i | −0.723196 | − | 1.35677i | ||||
\(141\) | 4.68933 | + | 3.68529i | 0.394913 | + | 0.310358i | ||||
\(142\) | −0.625082 | + | 7.63693i | −0.0524557 | + | 0.640877i | ||||
\(143\) | 19.5044i | 1.63104i | ||||||||
\(144\) | −11.0425 | − | 4.69720i | −0.920207 | − | 0.391433i | ||||
\(145\) | −4.74223 | + | 0.117335i | −0.393820 | + | 0.00974418i | ||||
\(146\) | −3.24784 | + | 1.97633i | −0.268793 | + | 0.163562i | ||||
\(147\) | 9.20744 | + | 13.7349i | 0.759417 | + | 1.13284i | ||||
\(148\) | 0.756109 | − | 4.58793i | 0.0621518 | − | 0.377125i | ||||
\(149\) | − | 13.1430i | − | 1.07672i | −0.842715 | − | 0.538359i | \(-0.819044\pi\) | ||
0.842715 | − | 0.538359i | \(-0.180956\pi\) | |||||||
\(150\) | −4.58954 | + | 11.3550i | −0.374734 | + | 0.927132i | ||||
\(151\) | − | 5.69211i | − | 0.463218i | −0.972809 | − | 0.231609i | \(-0.925601\pi\) | ||
0.972809 | − | 0.231609i | \(-0.0743989\pi\) | |||||||
\(152\) | 0.512137 | + | 7.39377i | 0.0415398 | + | 0.599714i | ||||
\(153\) | −3.90859 | − | 3.31787i | −0.315991 | − | 0.268234i | ||||
\(154\) | −9.65046 | − | 15.8593i | −0.777656 | − | 1.27798i | ||||
\(155\) | 3.43524 | + | 2.36828i | 0.275925 | + | 0.190225i | ||||
\(156\) | 19.0549 | − | 8.67502i | 1.52561 | − | 0.694558i | ||||
\(157\) | − | 6.78163i | − | 0.541233i | −0.962687 | − | 0.270617i | \(-0.912772\pi\) | ||
0.962687 | − | 0.270617i | \(-0.0872276\pi\) | |||||||
\(158\) | 3.59149 | + | 0.293964i | 0.285724 | + | 0.0233865i | ||||
\(159\) | −7.63151 | + | 9.71068i | −0.605218 | + | 0.770107i | ||||
\(160\) | 8.12710 | − | 9.69279i | 0.642504 | − | 0.766283i | ||||
\(161\) | 11.0540 | − | 15.2145i | 0.871175 | − | 1.19907i | ||||
\(162\) | −4.90506 | − | 11.7448i | −0.385378 | − | 0.922759i | ||||
\(163\) | −12.0385 | + | 8.74651i | −0.942931 | + | 0.685079i | −0.949124 | − | 0.314901i | \(-0.898029\pi\) |
0.00619340 | + | 0.999981i | \(0.498029\pi\) | |||||||
\(164\) | 2.38893 | − | 14.4956i | 0.186544 | − | 1.13192i | ||||
\(165\) | −4.01672 | + | 11.8356i | −0.312701 | + | 0.921398i | ||||
\(166\) | −6.51703 | − | 5.60142i | −0.505819 | − | 0.434754i | ||||
\(167\) | −13.2184 | − | 4.29493i | −1.02287 | − | 0.332352i | −0.250904 | − | 0.968012i | \(-0.580728\pi\) |
−0.771969 | + | 0.635660i | \(0.780728\pi\) | |||||||
\(168\) | −11.2015 | + | 16.4818i | −0.864213 | + | 1.27160i | ||||
\(169\) | −7.27075 | + | 22.3771i | −0.559288 | + | 1.72131i | ||||
\(170\) | 4.54580 | − | 2.92262i | 0.348647 | − | 0.224155i | ||||
\(171\) | −5.08726 | + | 5.99301i | −0.389033 | + | 0.458297i | ||||
\(172\) | −7.31233 | − | 7.40441i | −0.557560 | − | 0.564581i | ||||
\(173\) | 10.6950 | + | 7.77036i | 0.813125 | + | 0.590770i | 0.914735 | − | 0.404055i | \(-0.132399\pi\) |
−0.101610 | + | 0.994824i | \(0.532399\pi\) | |||||||
\(174\) | 2.53176 | + | 4.53797i | 0.191932 | + | 0.344023i | ||||
\(175\) | 17.0256 | + | 11.1265i | 1.28701 | + | 0.841085i | ||||
\(176\) | 7.71749 | − | 10.3474i | 0.581728 | − | 0.779967i | ||||
\(177\) | 19.7333 | + | 7.24614i | 1.48325 | + | 0.544653i | ||||
\(178\) | −9.02296 | + | 5.49053i | −0.676299 | + | 0.411532i | ||||
\(179\) | −2.57158 | − | 7.91451i | −0.192209 | − | 0.591559i | −0.999998 | − | 0.00208652i | \(-0.999336\pi\) |
0.807789 | − | 0.589472i | \(-0.200664\pi\) | |||||||
\(180\) | 13.3493 | − | 1.34000i | 0.995000 | − | 0.0998775i | ||||
\(181\) | 2.91403 | − | 8.96846i | 0.216598 | − | 0.666621i | −0.782438 | − | 0.622728i | \(-0.786024\pi\) |
0.999036 | − | 0.0438922i | \(-0.0139758\pi\) | |||||||
\(182\) | −8.01081 | − | 33.8333i | −0.593800 | − | 2.50789i | ||||
\(183\) | 0.403535 | − | 10.6822i | 0.0298302 | − | 0.789651i | ||||
\(184\) | 12.6859 | + | 3.17181i | 0.935215 | + | 0.233829i | ||||
\(185\) | 1.72828 | + | 4.90296i | 0.127065 | + | 0.360473i | ||||
\(186\) | 0.544568 | − | 4.53817i | 0.0399297 | − | 0.332755i | ||||
\(187\) | 4.46179 | − | 3.24168i | 0.326278 | − | 0.237055i | ||||
\(188\) | 6.11652 | + | 3.16488i | 0.446093 | + | 0.230823i | ||||
\(189\) | −20.7117 | + | 4.21754i | −1.50656 | + | 0.306781i | ||||
\(190\) | −4.48123 | − | 6.97002i | −0.325103 | − | 0.505659i | ||||
\(191\) | 2.50622 | − | 1.82087i | 0.181343 | − | 0.131754i | −0.493410 | − | 0.869797i | \(-0.664250\pi\) |
0.674754 | + | 0.738043i | \(0.264250\pi\) | |||||||
\(192\) | −13.5415 | − | 2.93736i | −0.977273 | − | 0.211986i | ||||
\(193\) | 8.14234i | 0.586099i | 0.956097 | + | 0.293049i | \(0.0946700\pi\) | ||||
−0.956097 | + | 0.293049i | \(0.905330\pi\) | |||||||
\(194\) | −22.1301 | − | 1.81134i | −1.58885 | − | 0.130047i | ||||
\(195\) | −14.0042 | + | 18.7566i | −1.00286 | + | 1.34319i | ||||
\(196\) | 13.4165 | + | 13.5854i | 0.958322 | + | 0.970389i | ||||
\(197\) | 1.43924 | + | 4.42952i | 0.102541 | + | 0.315590i | 0.989146 | − | 0.146939i | \(-0.0469421\pi\) |
−0.886604 | + | 0.462529i | \(0.846942\pi\) | |||||||
\(198\) | 13.5232 | − | 2.14040i | 0.961050 | − | 0.152112i | ||||
\(199\) | − | 14.7455i | − | 1.04528i | −0.852553 | − | 0.522641i | \(-0.824947\pi\) | ||
0.852553 | − | 0.522641i | \(-0.175053\pi\) | |||||||
\(200\) | −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 | ||||
\(204\) | −5.15145 | − | 2.91714i | −0.360674 | − | 0.204241i | ||||
\(205\) | 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 | ||||
\(210\) | 2.10653 | − | 22.1803i | 0.145364 | − | 1.53059i | ||||
\(211\) | −11.4404 | + | 15.7463i | −0.787587 | + | 1.08402i | 0.206817 | + | 0.978380i | \(0.433690\pi\) |
−0.994404 | + | 0.105641i | \(0.966310\pi\) | |||||||
\(212\) | −6.55384 | + | 12.6661i | −0.450119 | + | 0.869912i | ||||
\(213\) | −5.79878 | + | 7.37863i | −0.397326 | + | 0.505576i | ||||
\(214\) | −10.9282 | + | 26.1513i | −0.747036 | + | 1.78767i | ||||
\(215\) | 11.1509 | + | 3.32056i | 0.760487 | + | 0.226460i | ||||
\(216\) | −8.10582 | − | 12.2595i | −0.551531 | − | 0.834154i | ||||
\(217\) | −7.21893 | − | 2.34557i | −0.490053 | − | 0.159228i | ||||
\(218\) | 6.22128 | − | 1.47303i | 0.421358 | − | 0.0997662i | ||||
\(219\) | −4.65302 | − | 0.175774i | −0.314422 | − | 0.0118777i | ||||
\(220\) | −1.99387 | + | 14.2937i | −0.134427 | + | 0.963683i | ||||
\(221\) | 9.82333 | − | 3.19179i | 0.660789 | − | 0.214703i | ||||
\(222\) | 3.87242 | − | 4.17559i | 0.259900 | − | 0.280247i | ||||
\(223\) | −10.2193 | − | 7.42479i | −0.684338 | − | 0.497200i | 0.190456 | − | 0.981696i | \(-0.439003\pi\) |
−0.874794 | + | 0.484495i | \(0.839003\pi\) | |||||||
\(224\) | −9.13728 | + | 21.1189i | −0.610510 | + | 1.41107i | ||||
\(225\) | −12.3607 | + | 8.49780i | −0.824048 | + | 0.566520i | ||||
\(226\) | −9.64534 | + | 2.28375i | −0.641598 | + | 0.151913i | ||||
\(227\) | 13.7837 | − | 18.9716i | 0.914856 | − | 1.25919i | −0.0506254 | − | 0.998718i | \(-0.516121\pi\) |
0.965481 | − | 0.260473i | \(-0.0838785\pi\) | |||||||
\(228\) | −4.47283 | + | 7.89867i | −0.296220 | + | 0.523102i | ||||
\(229\) | 2.96567 | + | 9.12739i | 0.195977 | + | 0.603155i | 0.999964 | + | 0.00850807i | \(0.00270824\pi\) |
−0.803987 | + | 0.594647i | \(0.797292\pi\) | |||||||
\(230\) | −14.1388 | + | 3.71931i | −0.932286 | + | 0.245244i | ||||
\(231\) | 0.858309 | − | 22.7208i | 0.0564726 | − | 1.49492i | ||||
\(232\) | 3.85391 | + | 4.59905i | 0.253022 | + | 0.301943i | ||||
\(233\) | 3.17857 | − | 9.78263i | 0.208235 | − | 0.640881i | −0.791330 | − | 0.611389i | \(-0.790611\pi\) |
0.999565 | − | 0.0294921i | \(-0.00938898\pi\) | |||||||
\(234\) | 25.3259 | + | 4.01396i | 1.65561 | + | 0.262401i | ||||
\(235\) | −7.69734 | + | 0.190453i | −0.502119 | + | 0.0124238i | ||||
\(236\) | 23.9507 | + | 3.94716i | 1.55905 | + | 0.256939i | ||||
\(237\) | 3.47002 | + | 2.72705i | 0.225402 | + | 0.177141i | ||||
\(238\) | −6.40823 | + | 7.45572i | −0.415384 | + | 0.483283i | ||||
\(239\) | 23.5392 | + | 17.1022i | 1.52262 | + | 1.10625i | 0.960169 | + | 0.279421i | \(0.0901425\pi\) |
0.562453 | + | 0.826829i | \(0.309858\pi\) | |||||||
\(240\) | 14.8511 | − | 4.40955i | 0.958636 | − | 0.284635i | ||||
\(241\) | 19.3133 | − | 14.0319i | 1.24408 | − | 0.903876i | 0.246216 | − | 0.969215i | \(-0.420813\pi\) |
0.997863 | + | 0.0653387i | \(0.0208128\pi\) | |||||||
\(242\) | 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 | ||||
\(246\) | 12.2349 | − | 13.1928i | 0.780071 | − | 0.841144i | ||||
\(247\) | −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 | \(-0.340432\pi\) | ||||
0.480564 | + | 0.876959i | \(0.340432\pi\) | |||||||
\(252\) | −22.5789 | + | 9.26707i | −1.42234 | + | 0.583771i | ||||
\(253\) | −14.1894 | + | 4.61042i | −0.892080 | + | 0.289854i | ||||
\(254\) | 15.5919 | + | 25.6233i | 0.978326 | + | 1.60775i | ||||
\(255\) | 6.61827 | + | 0.0861798i | 0.414452 | + | 0.00539679i | ||||
\(256\) | −15.9950 | − | 0.400355i | −0.999687 | − | 0.0250222i | ||||
\(257\) | 14.0885 | 0.878814 | 0.439407 | − | 0.898288i | \(-0.355189\pi\) | ||||
0.439407 | + | 0.898288i | \(0.355189\pi\) | |||||||
\(258\) | −2.46628 | − | 12.5044i | −0.153544 | − | 0.778492i | ||||
\(259\) | −5.55881 | − | 7.65104i | −0.345408 | − | 0.475413i | ||||
\(260\) | −11.8238 | + | 24.3058i | −0.733281 | + | 1.50738i | ||||
\(261\) | −0.480156 | + | 6.34617i | −0.0297209 | + | 0.392818i | ||||
\(262\) | −0.0880355 | + | 0.102426i | −0.00543885 | + | 0.00632789i | ||||
\(263\) | −15.1053 | − | 20.7907i | −0.931436 | − | 1.28201i | −0.959297 | − | 0.282399i | \(-0.908870\pi\) |
0.0278614 | − | 0.999612i | \(-0.491130\pi\) | |||||||
\(264\) | 14.8750 | − | 5.35503i | 0.915496 | − | 0.329579i | ||||
\(265\) | −0.394390 | − | 15.9397i | −0.0242272 | − | 0.979166i | ||||
\(266\) | 11.4318 | + | 9.82568i | 0.700928 | + | 0.602451i | ||||
\(267\) | −12.9268 | − | 0.488326i | −0.791105 | − | 0.0298851i | ||||
\(268\) | 5.68769 | − | 2.85334i | 0.347431 | − | 0.174296i | ||||
\(269\) | −4.54996 | − | 1.47837i | −0.277416 | − | 0.0901379i | 0.167005 | − | 0.985956i | \(-0.446590\pi\) |
−0.444421 | + | 0.895818i | \(0.646590\pi\) | |||||||
\(270\) | 14.5416 | + | 7.65135i | 0.884971 | + | 0.465646i | ||||
\(271\) | 28.4163 | − | 9.23302i | 1.72617 | − | 0.560866i | 0.733281 | − | 0.679925i | \(-0.237988\pi\) |
0.992887 | + | 0.119059i | \(0.0379878\pi\) | |||||||
\(272\) | −6.47439 | − | 2.19359i | −0.392568 | − | 0.133006i | ||||
\(273\) | 14.6782 | − | 39.9731i | 0.888368 | − | 2.41928i | ||||
\(274\) | −20.0384 | + | 4.74454i | −1.21056 | + | 0.286628i | ||||
\(275\) | −5.73901 | − | 15.0805i | −0.346075 | − | 0.909389i | ||||
\(276\) | 10.8152 | + | 11.8118i | 0.651000 | + | 0.710986i | ||||
\(277\) | 3.46129 | − | 4.76406i | 0.207969 | − | 0.286245i | −0.692272 | − | 0.721637i | \(-0.743390\pi\) |
0.900241 | + | 0.435392i | \(0.143390\pi\) | |||||||
\(278\) | −1.81015 | + | 1.10149i | −0.108566 | + | 0.0660628i | ||||
\(279\) | 3.62271 | − | 4.26770i | 0.216886 | − | 0.255501i | ||||
\(280\) | −2.41203 | − | 25.6136i | −0.144146 | − | 1.53070i | ||||
\(281\) | 16.7821 | + | 5.45282i | 1.00113 | + | 0.325288i | 0.763319 | − | 0.646022i | \(-0.223569\pi\) |
0.237815 | + | 0.971310i | \(0.423569\pi\) | |||||||
\(282\) | 4.10942 | + | 7.36581i | 0.244713 | + | 0.438627i | ||||
\(283\) | −1.15511 | + | 3.55506i | −0.0686641 | + | 0.211326i | −0.979501 | − | 0.201441i | \(-0.935438\pi\) |
0.910837 | + | 0.412767i | \(0.135438\pi\) | |||||||
\(284\) | −4.97991 | + | 9.62430i | −0.295504 | + | 0.571097i | ||||
\(285\) | 0.132139 | − | 10.1477i | 0.00782722 | − | 0.601100i | ||||
\(286\) | −10.6354 | + | 25.4505i | −0.628882 | + | 1.50492i | ||||
\(287\) | −17.5631 | − | 24.1736i | −1.03672 | − | 1.42692i | ||||
\(288\) | −11.8476 | − | 12.1505i | −0.698129 | − | 0.715972i | ||||
\(289\) | 11.3905 | + | 8.27566i | 0.670028 | + | 0.486804i | ||||
\(290\) | −6.25194 | − | 2.43274i | −0.367126 | − | 0.142855i | ||||
\(291\) | −21.3816 | − | 16.8035i | −1.25341 | − | 0.985040i | ||||
\(292\) | −5.31564 | + | 0.807858i | −0.311074 | + | 0.0472763i | ||||
\(293\) | −9.16625 | −0.535498 | −0.267749 | − | 0.963489i | \(-0.586280\pi\) | ||||
−0.267749 | + | 0.963489i | \(0.586280\pi\) | |||||||
\(294\) | 4.52507 | + | 22.9428i | 0.263908 | + | 1.33805i | ||||
\(295\) | −25.5953 | + | 9.02223i | −1.49021 | + | 0.525295i | ||||
\(296\) | 3.48833 | − | 5.57433i | 0.202755 | − | 0.324001i | ||||
\(297\) | 15.2600 | + | 6.95122i | 0.885474 | + | 0.403351i | ||||
\(298\) | 7.16664 | − | 17.1499i | 0.415152 | − | 0.993465i | ||||
\(299\) | −27.9421 | −1.61593 | ||||||||
\(300\) | −12.1804 | + | 12.3141i | −0.703235 | + | 0.710958i | ||||
\(301\) | −21.1657 | −1.21997 | ||||||||
\(302\) | 3.10380 | − | 7.42743i | 0.178604 | − | 0.427401i | ||||
\(303\) | −22.8102 | + | 15.2912i | −1.31041 | + | 0.878458i | ||||
\(304\) | −3.36341 | + | 9.92712i | −0.192905 | + | 0.569359i | ||||
\(305\) | 8.38541 | + | 10.9608i | 0.480147 | + | 0.627612i | ||||
\(306\) | −3.29101 | − | 6.46065i | −0.188135 | − | 0.369331i | ||||
\(307\) | −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 | ||||
\(309\) | −4.18770 | + | 5.32862i | −0.238230 | + | 0.303135i | ||||
\(310\) | 3.19114 | + | 4.96345i | 0.181245 | + | 0.281905i | ||||
\(311\) | −9.07531 | − | 6.59360i | −0.514614 | − | 0.373889i | 0.299957 | − | 0.953953i | \(-0.403028\pi\) |
−0.814571 | + | 0.580064i | \(0.803028\pi\) | |||||||
\(312\) | 29.5943 | − | 0.929481i | 1.67545 | − | 0.0526215i | ||||
\(313\) | 1.45676 | + | 2.00506i | 0.0823408 | + | 0.113332i | 0.848200 | − | 0.529675i | \(-0.177686\pi\) |
−0.765860 | + | 0.643008i | \(0.777686\pi\) | |||||||
\(314\) | 3.69789 | − | 8.84911i | 0.208684 | − | 0.499384i | ||||
\(315\) | 17.1390 | − | 21.2335i | 0.965675 | − | 1.19637i | ||||
\(316\) | 4.52612 | + | 2.34195i | 0.254614 | + | 0.131745i | ||||
\(317\) | 4.13848 | − | 12.7369i | 0.232440 | − | 0.715377i | −0.765011 | − | 0.644018i | \(-0.777266\pi\) |
0.997451 | − | 0.0713591i | \(-0.0227336\pi\) | |||||||
\(318\) | −15.2531 | + | 8.50980i | −0.855353 | + | 0.477206i | ||||
\(319\) | −6.51106 | − | 2.11557i | −0.364549 | − | 0.118449i | ||||
\(320\) | 15.8900 | − | 8.21622i | 0.888281 | − | 0.459301i | ||||
\(321\) | −28.8334 | + | 19.3290i | −1.60932 | + | 1.07884i | ||||
\(322\) | 22.7201 | − | 13.8253i | 1.26614 | − | 0.770455i | ||||
\(323\) | −2.63218 | + | 3.62288i | −0.146458 | + | 0.201582i | ||||
\(324\) | 0.00378353 | − | 18.0000i | 0.000210196 | − | 1.00000i | ||||
\(325\) | −1.49451 | − | 30.1825i | −0.0829003 | − | 1.67422i | ||||
\(326\) | −20.4780 | + | 4.84862i | −1.13417 | + | 0.268540i | ||||
\(327\) | 7.35027 | + | 2.69904i | 0.406471 | + | 0.149257i | ||||
\(328\) | 11.0214 | − | 17.6122i | 0.608555 | − | 0.972469i | ||||
\(329\) | 13.3215 | − | 4.32841i | 0.734437 | − | 0.238633i | ||||
\(330\) | −11.6950 | + | 13.2536i | −0.643787 | + | 0.729585i | ||||
\(331\) | 23.4234 | + | 7.61073i | 1.28747 | + | 0.418324i | 0.871205 | − | 0.490920i | \(-0.163339\pi\) |
0.416264 | + | 0.909244i | \(0.363339\pi\) | |||||||
\(332\) | −5.44949 | − | 10.8627i | −0.299079 | − | 0.596168i | ||||
\(333\) | 6.77706 | − | 1.64871i | 0.371381 | − | 0.0903488i | ||||
\(334\) | −14.9063 | − | 12.8121i | −0.815637 | − | 0.701044i | ||||
\(335\) | −4.03807 | + | 5.85732i | −0.220623 | + | 0.320019i | ||||
\(336\) | −23.6036 | + | 15.3986i | −1.28768 | + | 0.840061i | ||||
\(337\) | 6.30910 | + | 8.68373i | 0.343678 | + | 0.473033i | 0.945511 | − | 0.325589i | \(-0.105563\pi\) |
−0.601833 | + | 0.798622i | \(0.705563\pi\) | |||||||
\(338\) | −21.6891 | + | 25.2344i | −1.17973 | + | 1.37257i | ||||
\(339\) | −11.3957 | − | 4.18454i | −0.618929 | − | 0.227273i | ||||
\(340\) | 7.52529 | − | 1.33489i | 0.408116 | − | 0.0723947i | ||||
\(341\) | 3.53951 | + | 4.87172i | 0.191675 | + | 0.263818i | ||||
\(342\) | −9.90605 | + | 5.04607i | −0.535658 | + | 0.272860i | ||||
\(343\) | 10.3599 | 0.559381 | ||||||||
\(344\) | −5.50412 | − | 13.6490i | −0.296762 | − | 0.735906i | ||||
\(345\) | −16.9557 | − | 5.75438i | −0.912865 | − | 0.309805i | ||||
\(346\) | 9.71847 | + | 15.9710i | 0.522468 | + | 0.858608i | ||||
\(347\) | 14.7741 | − | 4.80040i | 0.793116 | − | 0.257699i | 0.115685 | − | 0.993286i | \(-0.463094\pi\) |
0.677430 | + | 0.735587i | \(0.263094\pi\) | |||||||
\(348\) | 0.829131 | + | 7.30195i | 0.0444461 | + | 0.391426i | ||||
\(349\) | 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 | \(-0.134061\pi\) |
−0.978621 | + | 0.205674i | \(0.934061\pi\) | |||||||
\(354\) | 21.7981 | + | 20.2154i | 1.15856 | + | 1.07444i | ||||
\(355\) | −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 | \(-0.711652\pi\) |
0.557784 | + | 0.829986i | \(0.311652\pi\) | |||||||
\(360\) | 18.1497 | + | 5.53061i | 0.956574 | + | 0.291489i | ||||
\(361\) | −9.81640 | − | 7.13203i | −0.516653 | − | 0.375370i | ||||
\(362\) | 8.69274 | − | 10.1137i | 0.456880 | − | 0.531562i | ||||
\(363\) | 0.626831 | − | 0.797608i | 0.0329001 | − | 0.0418635i | ||||
\(364\) | 7.99563 | − | 48.5160i | 0.419085 | − | 2.54293i | ||||
\(365\) | 4.77437 | − | 3.65257i | 0.249902 | − | 0.191184i | ||||
\(366\) | 6.35136 | − | 13.7188i | 0.331991 | − | 0.717092i | ||||
\(367\) | 2.19066 | − | 6.74216i | 0.114352 | − | 0.351938i | −0.877460 | − | 0.479650i | \(-0.840763\pi\) |
0.991811 | + | 0.127712i | \(0.0407635\pi\) | |||||||
\(368\) | 14.8238 | + | 11.0561i | 0.772744 | + | 0.576341i | ||||
\(369\) | 21.4122 | − | 5.20912i | 1.11467 | − | 0.271176i | ||||
\(370\) | −0.418326 | + | 7.34009i | −0.0217477 | + | 0.381593i | ||||
\(371\) | 8.96328 | + | 27.5861i | 0.465350 | + | 1.43220i | ||||
\(372\) | 3.18516 | − | 5.62475i | 0.165143 | − | 0.291630i | ||||
\(373\) | −22.1263 | + | 30.4542i | −1.14566 | + | 1.57686i | −0.391479 | + | 0.920187i | \(0.628037\pi\) |
−0.754176 | + | 0.656672i | \(0.771963\pi\) | |||||||
\(374\) | 7.58965 | − | 1.79702i | 0.392451 | − | 0.0929218i | ||||
\(375\) | 5.30887 | − | 18.6230i | 0.274149 | − | 0.961687i | ||||
\(376\) | 6.25548 | + | 7.46496i | 0.322602 | + | 0.384976i | ||||
\(377\) | −10.3730 | − | 7.53643i | −0.534237 | − | 0.388146i | ||||
\(378\) | −29.3257 | − | 5.79039i | −1.50835 | − | 0.297826i | ||||
\(379\) | 20.7567 | − | 6.74427i | 1.06620 | − | 0.346430i | 0.277194 | − | 0.960814i | \(-0.410595\pi\) |
0.789007 | + | 0.614384i | \(0.210595\pi\) | |||||||
\(380\) | −2.04678 | − | 11.5385i | −0.104997 | − | 0.591910i | ||||
\(381\) | −1.38674 | + | 36.7093i | −0.0710450 | + | 1.88067i | ||||
\(382\) | 4.26316 | − | 1.00940i | 0.218122 | − | 0.0516454i | ||||
\(383\) | −17.3235 | − | 5.62875i | −0.885190 | − | 0.287616i | −0.169080 | − | 0.985602i | \(-0.554079\pi\) |
−0.716111 | + | 0.697987i | \(0.754079\pi\) | |||||||
\(384\) | −16.0681 | − | 11.2168i | −0.819972 | − | 0.572403i | ||||
\(385\) | 17.8356 | + | 23.3133i | 0.908985 | + | 1.18816i | ||||
\(386\) | −4.43986 | + | 10.6246i | −0.225983 | + | 0.540780i | ||||
\(387\) | 5.92998 | − | 14.4395i | 0.301438 | − | 0.734003i | ||||
\(388\) | −27.8890 | − | 14.4306i | −1.41585 | − | 0.732605i | ||||
\(389\) | −2.05265 | + | 2.82523i | −0.104074 | + | 0.143245i | −0.857877 | − | 0.513855i | \(-0.828217\pi\) |
0.753804 | + | 0.657100i | \(0.228217\pi\) | |||||||
\(390\) | −28.5012 | + | 16.8386i | −1.44322 | + | 0.852657i | ||||
\(391\) | 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 | ||||
\(396\) | 18.8130 | + | 4.58099i | 0.945390 | + | 0.230203i | ||||
\(397\) | −9.49933 | + | 3.08652i | −0.476758 | + | 0.154908i | −0.537532 | − | 0.843244i | \(-0.680643\pi\) |
0.0607739 | + | 0.998152i | \(0.480643\pi\) | |||||||
\(398\) | 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 | \(-0.201732\pi\) | |||||||
\(402\) | 7.73788 | + | 0.928526i | 0.385931 | + | 0.0463107i | ||||
\(403\) | 3.48505 | + | 10.7259i | 0.173603 | + | 0.534294i | ||||
\(404\) | −22.5620 | + | 22.2814i | −1.12250 | + | 1.10854i | ||||
\(405\) | 9.68395 | + | 17.6415i | 0.481200 | + | 0.876611i | ||||
\(406\) | 12.1633 | + | 0.995568i | 0.603656 | + | 0.0494092i | ||||
\(407\) | 7.50276i | 0.371898i | ||||||||
\(408\) | −5.13128 | − | 6.61546i | −0.254036 | − | 0.327514i | ||||
\(409\) | 18.7930 | − | 13.6539i | 0.929255 | − | 0.675143i | −0.0165551 | − | 0.999863i | \(-0.505270\pi\) |
0.945810 | + | 0.324719i | \(0.105270\pi\) | |||||||
\(410\) | −1.32170 | + | 23.1911i | −0.0652743 | + | 1.14533i | ||||
\(411\) | −23.6748 | − | 8.69345i | −1.16779 | − | 0.428816i | ||||
\(412\) | −3.59634 | + | 6.95038i | −0.177179 | + | 0.342421i | ||||
\(413\) | 39.9412 | − | 29.0190i | 1.96538 | − | 1.42793i | ||||
\(414\) | 3.06636 | + | 19.3734i | 0.150703 | + | 0.952151i | ||||
\(415\) | 11.1867 | + | 7.71216i | 0.549132 | + | 0.378575i | ||||
\(416\) | 33.3655 | − | 7.46044i | 1.63588 | − | 0.365778i | ||||
\(417\) | −2.59331 | − | 0.0979660i | −0.126995 | − | 0.00479741i | ||||
\(418\) | −2.75536 | − | 11.6371i | −0.134769 | − | 0.569191i | ||||
\(419\) | −0.428622 | + | 1.31916i | −0.0209395 | + | 0.0644453i | −0.960980 | − | 0.276617i | \(-0.910787\pi\) |
0.940041 | + | 0.341062i | \(0.110787\pi\) | |||||||
\(420\) | 14.8432 | − | 27.7937i | 0.724275 | − | 1.35619i | ||||
\(421\) | −5.56178 | − | 17.1174i | −0.271065 | − | 0.834251i | −0.990234 | − | 0.139416i | \(-0.955477\pi\) |
0.719169 | − | 0.694835i | \(-0.244523\pi\) | |||||||
\(422\) | −23.5143 | + | 14.3086i | −1.14466 | + | 0.696531i | ||||
\(423\) | −0.779365 | + | 10.3008i | −0.0378940 | + | 0.500842i | ||||
\(424\) | −15.4584 | + | 12.9539i | −0.750728 | + | 0.629095i | ||||
\(425\) | −6.65610 | + | 5.35829i | −0.322868 | + | 0.259915i | ||||
\(426\) | −11.5900 | + | 6.46615i | −0.561539 | + | 0.313286i | ||||
\(427\) | −20.3107 | − | 14.7566i | −0.982903 | − | 0.714121i | ||||
\(428\) | −28.5196 | + | 28.1650i | −1.37855 | + | 1.36141i | ||||
\(429\) | −28.0608 | + | 18.8110i | −1.35479 | + | 0.908205i | ||||
\(430\) | 12.7398 | + | 10.4133i | 0.614368 | + | 0.502172i | ||||
\(431\) | 8.05614 | − | 24.7943i | 0.388051 | − | 1.19430i | −0.546192 | − | 0.837660i | \(-0.683923\pi\) |
0.934243 | − | 0.356637i | \(-0.116077\pi\) | |||||||
\(432\) | −3.89212 | − | 20.4169i | −0.187260 | − | 0.982310i | ||||
\(433\) | −7.91328 | − | 2.57118i | −0.380288 | − | 0.123563i | 0.112634 | − | 0.993637i | \(-0.464071\pi\) |
−0.492922 | + | 0.870073i | \(0.664071\pi\) | |||||||
\(434\) | −8.14073 | − | 6.99700i | −0.390767 | − | 0.335867i | ||||
\(435\) | −4.74246 | − | 6.70943i | −0.227383 | − | 0.321693i | ||||
\(436\) | 8.92114 | + | 1.47024i | 0.427245 | + | 0.0704117i | ||||
\(437\) | 9.80077 | − | 7.12068i | 0.468835 | − | 0.340628i | ||||
\(438\) | −5.97571 | − | 2.76656i | −0.285531 | − | 0.132191i | ||||
\(439\) | −5.42747 | + | 7.47027i | −0.259039 | + | 0.356537i | −0.918651 | − | 0.395069i | \(-0.870721\pi\) |
0.659612 | + | 0.751606i | \(0.270721\pi\) | |||||||
\(440\) | −10.3958 | + | 17.5642i | −0.495601 | + | 0.837338i | ||||
\(441\) | −10.8802 | + | 26.4933i | −0.518104 | + | 1.26159i | ||||
\(442\) | 14.5585 | + | 1.19162i | 0.692479 | + | 0.0566794i | ||||
\(443\) | 9.13686i | 0.434105i | 0.976160 | + | 0.217053i | \(0.0696444\pi\) | ||||
−0.976160 | + | 0.217053i | \(0.930356\pi\) | |||||||
\(444\) | 7.32984 | − | 3.33703i | 0.347859 | − | 0.158368i | ||||
\(445\) | 13.2639 | − | 10.1474i | 0.628768 | − | 0.481031i | ||||
\(446\) | −9.28626 | − | 15.2607i | −0.439717 | − | 0.722617i | ||||
\(447\) | 18.9088 | − | 12.6758i | 0.894354 | − | 0.599545i | ||||
\(448\) | −23.4386 | + | 22.5749i | −1.10737 | + | 1.06656i | ||||
\(449\) | − | 4.35202i | − | 0.205384i | −0.994713 | − | 0.102692i | \(-0.967254\pi\) | ||
0.994713 | − | 0.102692i | \(-0.0327457\pi\) | |||||||
\(450\) | −20.7627 | + | 4.34842i | −0.978765 | + | 0.204986i | ||||
\(451\) | 23.7050i | 1.11623i | ||||||||
\(452\) | −13.8311 | − | 2.27943i | −0.650562 | − | 0.107215i | ||||
\(453\) | 8.18920 | − | 5.48977i | 0.384762 | − | 0.257932i | ||||
\(454\) | 28.3307 | − | 17.2394i | 1.32963 | − | 0.809085i | ||||
\(455\) | 18.2760 | + | 51.8474i | 0.856792 | + | 2.43064i | ||||
\(456\) | −10.1434 | + | 7.86774i | −0.475009 | + | 0.368441i | ||||
\(457\) | 8.13030i | 0.380319i | 0.981753 | + | 0.190160i | \(0.0609006\pi\) | ||||
−0.981753 | + | 0.190160i | \(0.939099\pi\) | |||||||
\(458\) | −1.10719 | + | 13.5271i | −0.0517358 | + | 0.632081i | ||||
\(459\) | 1.00375 | − | 8.82319i | 0.0468508 | − | 0.411831i | ||||
\(460\) | −20.4773 | − | 2.85643i | −0.954759 | − | 0.133182i | ||||
\(461\) | −15.7995 | + | 21.7462i | −0.735857 | + | 1.01282i | 0.262989 | + | 0.964799i | \(0.415292\pi\) |
−0.998846 | + | 0.0480215i | \(0.984708\pi\) | |||||||
\(462\) | 13.5092 | − | 29.1795i | 0.628504 | − | 1.35755i | ||||
\(463\) | 16.2070 | − | 11.7751i | 0.753205 | − | 0.547235i | −0.143614 | − | 0.989634i | \(-0.545872\pi\) |
0.896819 | + | 0.442399i | \(0.145872\pi\) | |||||||
\(464\) | 2.52106 | + | 8.10260i | 0.117037 | + | 0.376154i | ||||
\(465\) | −0.0940977 | + | 7.22634i | −0.00436368 | + | 0.335113i | ||||
\(466\) | 9.48187 | − | 11.0318i | 0.439239 | − | 0.511038i | ||||
\(467\) | −2.65359 | − | 0.862205i | −0.122794 | − | 0.0398981i | 0.246976 | − | 0.969022i | \(-0.420563\pi\) |
−0.369769 | + | 0.929124i | \(0.620563\pi\) | |||||||
\(468\) | 30.8582 | + | 19.0474i | 1.42642 | + | 0.880467i | ||||
\(469\) | 3.99936 | − | 12.3088i | 0.184673 | − | 0.568366i | ||||
\(470\) | −10.1478 | − | 3.94870i | −0.468085 | − | 0.182140i | ||||
\(471\) | 9.75668 | − | 6.54056i | 0.449564 | − | 0.301373i | ||||
\(472\) | 29.1000 | + | 18.2103i | 1.33944 | + | 0.838199i | ||||
\(473\) | 13.5846 | + | 9.86982i | 0.624622 | + | 0.453815i | ||||
\(474\) | 3.04090 | + | 5.45057i | 0.139673 | + | 0.250353i | ||||
\(475\) | 8.21581 | + | 10.2057i | 0.376967 | + | 0.468271i | ||||
\(476\) | −12.4273 | + | 6.23442i | −0.569606 | + | 0.285754i | ||||
\(477\) | −21.3309 | − | 1.61391i | −0.976674 | − | 0.0738959i | ||||
\(478\) | 21.3899 | + | 35.1515i | 0.978351 | + | 1.60779i | ||||
\(479\) | 6.48938 | + | 19.9722i | 0.296507 | + | 0.912555i | 0.982711 | + | 0.185146i | \(0.0592758\pi\) |
−0.686204 | + | 0.727409i | \(0.740724\pi\) | |||||||
\(480\) | 21.7831 | + | 2.34416i | 0.994259 | + | 0.106996i | ||||
\(481\) | −4.34215 | + | 13.3638i | −0.197985 | + | 0.609335i | ||||
\(482\) | 32.8526 | − | 7.77859i | 1.49639 | − | 0.354305i | ||||
\(483\) | 32.5500 | + | 1.22962i | 1.48107 | + | 0.0559496i | ||||
\(484\) | 0.538314 | − | 1.04036i | 0.0244688 | − | 0.0472890i | ||||
\(485\) | 35.0970 | − | 0.868393i | 1.59367 | − | 0.0394317i | ||||
\(486\) | 12.1665 | − | 18.3842i | 0.551882 | − | 0.833922i | ||||
\(487\) | −3.99489 | + | 2.90246i | −0.181026 | + | 0.131523i | −0.674608 | − | 0.738176i | \(-0.735687\pi\) |
0.493582 | + | 0.869699i | \(0.335687\pi\) | |||||||
\(488\) | 4.23423 | − | 16.9351i | 0.191674 | − | 0.766616i | ||||
\(489\) | −24.1941 | − | 8.88416i | −1.09410 | − | 0.401755i | ||||
\(490\) | −23.3747 | − | 19.1060i | −1.05596 | − | 0.863122i | ||||
\(491\) | −13.3366 | + | 9.68959i | −0.601871 | + | 0.437285i | −0.846543 | − | 0.532321i | \(-0.821320\pi\) |
0.244671 | + | 0.969606i | \(0.421320\pi\) | |||||||
\(492\) | 23.1587 | − | 10.5434i | 1.04408 | − | 0.475332i | ||||
\(493\) | 3.62548i | 0.163284i | ||||||||
\(494\) | 1.82709 | − | 22.3225i | 0.0822048 | − | 1.00433i | ||||
\(495\) | −20.9017 | + | 5.63601i | −0.939460 | + | 0.253320i | ||||
\(496\) | 2.39513 | − | 7.06924i | 0.107544 | − | 0.317418i | ||||
\(497\) | 6.81072 | + | 20.9612i | 0.305503 | + | 0.940241i | ||||
\(498\) | 1.77336 | − | 14.7783i | 0.0794660 | − | 0.662231i | ||||
\(499\) | 29.5012i | 1.32066i | 0.750978 | + | 0.660328i | \(0.229583\pi\) | ||||
−0.750978 | + | 0.660328i | \(0.770417\pi\) | |||||||
\(500\) | 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 | \(-0.480255\pi\) |
0.636807 | + | 0.771023i | \(0.280255\pi\) | |||||||
\(504\) | −34.5155 | − | 0.219566i | −1.53744 | − | 0.00978026i | ||||
\(505\) | 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 | \(-0.236306\pi\) |
−0.870656 | + | 0.491892i | \(0.836306\pi\) | |||||||
\(510\) | 8.58895 | + | 3.72127i | 0.380325 | + | 0.164781i | ||||
\(511\) | −6.42776 | + | 8.84706i | −0.284348 | + | 0.391371i | ||||
\(512\) | −20.6530 | − | 9.24416i | −0.912741 | − | 0.408538i | ||||
\(513\) | −13.5285 | − | 1.53903i | −0.597298 | − | 0.0679500i | ||||
\(514\) | 18.3835 | + | 7.68217i | 0.810863 | + | 0.338846i | ||||
\(515\) | −0.216417 | − | 8.74671i | −0.00953648 | − | 0.385426i | ||||
\(516\) | 3.60026 | − | 17.6614i | 0.158493 | − | 0.777499i | ||||
\(517\) | −10.5684 | − | 3.43389i | −0.464799 | − | 0.151022i | ||||
\(518\) | −3.08152 | − | 13.0147i | −0.135394 | − | 0.571832i | ||||
\(519\) | −0.864358 | + | 22.8809i | −0.0379411 | + | 1.00436i | ||||
\(520\) | −28.6819 | + | 25.2684i | −1.25778 | + | 1.10809i | ||||
\(521\) | −2.25435 | + | 0.732482i | −0.0987648 | + | 0.0320906i | −0.357983 | − | 0.933728i | \(-0.616535\pi\) |
0.259218 | + | 0.965819i | \(0.416535\pi\) | |||||||
\(522\) | −4.08698 | + | 8.01907i | −0.178882 | + | 0.350985i | ||||
\(523\) | −28.8397 | − | 20.9533i | −1.26107 | − | 0.916222i | −0.262262 | − | 0.964997i | \(-0.584468\pi\) |
−0.998810 | + | 0.0487748i | \(0.984468\pi\) | |||||||
\(524\) | −0.170725 | + | 0.0856477i | −0.00745816 | + | 0.00374154i | ||||
\(525\) | 0.412753 | + | 35.2256i | 0.0180140 | + | 1.53737i | ||||
\(526\) | −8.37364 | − | 35.3657i | −0.365108 | − | 1.54202i | ||||
\(527\) | 1.87441 | − | 2.57990i | 0.0816505 | − | 0.112382i | ||||
\(528\) | 22.3299 | + | 1.12349i | 0.971784 | + | 0.0488936i | ||||
\(529\) | 0.502477 | + | 1.54647i | 0.0218468 | + | 0.0672376i | ||||
\(530\) | 8.17697 | − | 21.0142i | 0.355185 | − | 0.912796i | ||||
\(531\) | 8.60687 | + | 35.3787i | 0.373507 | + | 1.53531i | ||||
\(532\) | 9.55917 | + | 19.0547i | 0.414443 | + | 0.826126i | ||||
\(533\) | −13.7191 | + | 42.2230i | −0.594239 | + | 1.82888i | ||||
\(534\) | −16.6014 | − | 7.68591i | −0.718412 | − | 0.332602i | ||||
\(535\) | 12.7898 | − | 42.9501i | 0.552952 | − | 1.85690i | ||||
\(536\) | 8.97753 | − | 0.621837i | 0.387770 | − | 0.0268593i | ||||
\(537\) | 8.90638 | − | 11.3329i | 0.384339 | − | 0.489050i | ||||
\(538\) | −5.13095 | − | 4.41008i | −0.221211 | − | 0.190132i | ||||
\(539\) | −24.9248 | − | 18.1089i | −1.07359 | − | 0.780006i | ||||
\(540\) | 14.8026 | + | 17.9132i | 0.637003 | + | 0.770861i | ||||
\(541\) | 18.3009 | − | 13.2964i | 0.786819 | − | 0.571657i | −0.120199 | − | 0.992750i | \(-0.538353\pi\) |
0.907018 | + | 0.421092i | \(0.138353\pi\) | |||||||
\(542\) | 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 | ||||
\(546\) | 40.9496 | − | 44.1557i | 1.75248 | − | 1.88969i | ||||
\(547\) | 10.9627 | + | 33.7396i | 0.468729 | + | 1.44260i | 0.854231 | + | 0.519894i | \(0.174028\pi\) |
−0.385501 | + | 0.922707i | \(0.625972\pi\) | |||||||
\(548\) | −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 | ||||||||
\(552\) | 7.67166 | + | 21.3101i | 0.326527 | + | 0.907018i | ||||
\(553\) | 9.85766 | − | 3.20295i | 0.419190 | − | 0.136203i | ||||
\(554\) | 7.11426 | − | 4.32907i | 0.302256 | − | 0.183925i | ||||
\(555\) | −5.38701 | + | 7.21513i | −0.228666 | + | 0.306265i | ||||
\(556\) | −2.96262 | + | 0.450251i | −0.125643 | + | 0.0190949i | ||||
\(557\) | −15.8708 | −0.672466 | −0.336233 | − | 0.941779i | \(-0.609153\pi\) | ||||
−0.336233 | + | 0.941779i | \(0.609153\pi\) | |||||||
\(558\) | 7.05423 | − | 3.59338i | 0.298630 | − | 0.152120i | ||||
\(559\) | 18.4846 | + | 25.4419i | 0.781816 | + | 1.07608i | ||||
\(560\) | 10.8192 | − | 34.7374i | 0.457195 | − | 1.46793i | ||||
\(561\) | 8.96695 | + | 3.29269i | 0.378585 | + | 0.139018i | ||||
\(562\) | 18.9250 | + | 16.2661i | 0.798303 | + | 0.686145i | ||||
\(563\) | 11.9500 | + | 16.4477i | 0.503632 | + | 0.693190i | 0.982829 | − | 0.184517i | \(-0.0590722\pi\) |
−0.479197 | + | 0.877707i | \(0.659072\pi\) | |||||||
\(564\) | 1.34580 | + | 11.8522i | 0.0566686 | + | 0.499066i | ||||
\(565\) | 14.7809 | − | 5.21020i | 0.621836 | − | 0.219195i | ||||
\(566\) | −3.44576 | + | 4.00901i | −0.144836 | + | 0.168511i | ||||
\(567\) | −26.0432 | − | 25.7302i | −1.09371 | − | 1.08057i | ||||
\(568\) | −11.7461 | + | 9.84295i | −0.492854 | + | 0.413001i | ||||
\(569\) | 0.353267 | + | 0.114783i | 0.0148097 | + | 0.00481197i | 0.316412 | − | 0.948622i | \(-0.397522\pi\) |
−0.301603 | + | 0.953434i | \(0.597522\pi\) | |||||||
\(570\) | 5.70578 | − | 13.1694i | 0.238989 | − | 0.551604i | ||||
\(571\) | 1.76725 | − | 0.574214i | 0.0739571 | − | 0.0240301i | −0.271805 | − | 0.962352i | \(-0.587620\pi\) |
0.345762 | + | 0.938322i | \(0.387620\pi\) | |||||||
\(572\) | −27.7554 | + | 27.4102i | −1.16051 | + | 1.14608i | ||||
\(573\) | 5.03680 | + | 1.84953i | 0.210415 | + | 0.0772651i | ||||
\(574\) | −9.73610 | − | 41.1200i | −0.406377 | − | 1.71632i | ||||
\(575\) | 21.6044 | − | 8.22174i | 0.900967 | − | 0.342870i | ||||
\(576\) | −8.83415 | − | 22.3150i | −0.368090 | − | 0.929790i | ||||
\(577\) | −7.63108 | + | 10.5033i | −0.317686 | + | 0.437257i | −0.937759 | − | 0.347287i | \(-0.887103\pi\) |
0.620073 | + | 0.784544i | \(0.287103\pi\) | |||||||
\(578\) | 10.3505 | + | 17.0096i | 0.430522 | + | 0.707507i | ||||
\(579\) | −11.7143 | + | 7.85290i | −0.486831 | + | 0.326355i | ||||
\(580\) | −6.83140 | − | 6.58345i | −0.283659 | − | 0.273363i | ||||
\(581\) | −23.5080 | − | 7.63823i | −0.975278 | − | 0.316887i | ||||
\(582\) | −18.7374 | − | 33.5853i | −0.776690 | − | 1.39215i | ||||
\(583\) | 7.11091 | − | 21.8851i | 0.294504 | − | 0.906389i | ||||
\(584\) | −7.37670 | − | 1.84437i | −0.305250 | − | 0.0763206i | ||||
\(585\) | −40.4914 | − | 2.05789i | −1.67411 | − | 0.0850832i | ||||
\(586\) | −11.9607 | − | 4.99818i | −0.494092 | − | 0.206473i | ||||
\(587\) | 20.1814 | + | 27.7773i | 0.832974 | + | 1.14649i | 0.987362 | + | 0.158480i | \(0.0506594\pi\) |
−0.154388 | + | 0.988010i | \(0.549341\pi\) | |||||||
\(588\) | −6.60568 | + | 32.4047i | −0.272414 | + | 1.33635i | ||||
\(589\) | −3.95574 | − | 2.87401i | −0.162993 | − | 0.118422i | ||||
\(590\) | −38.3180 | − | 2.18381i | −1.57753 | − | 0.0899061i | ||||
\(591\) | −4.98463 | + | 6.34267i | −0.205040 | + | 0.260903i | ||||
\(592\) | 7.59137 | − | 5.37162i | 0.312003 | − | 0.220772i | ||||
\(593\) | −27.4395 | −1.12681 | −0.563403 | − | 0.826182i | \(-0.690508\pi\) | ||||
−0.563403 | + | 0.826182i | \(0.690508\pi\) | |||||||
\(594\) | 16.1218 | + | 17.3914i | 0.661487 | + | 0.713576i | ||||
\(595\) | 8.82300 | − | 12.7980i | 0.361708 | − | 0.524665i | ||||
\(596\) | 18.7030 | − | 18.4704i | 0.766103 | − | 0.756577i | ||||
\(597\) | 21.2143 | − | 14.2213i | 0.868242 | − | 0.582041i | ||||
\(598\) | −36.4606 | − | 15.2363i | −1.49099 | − | 0.623058i | ||||
\(599\) | 15.6130 | 0.637931 | 0.318965 | − | 0.947766i | \(-0.396665\pi\) | ||||
0.318965 | + | 0.947766i | \(0.396665\pi\) | |||||||
\(600\) | −22.6084 | + | 9.42655i | −0.922984 | + | 0.384837i | ||||
\(601\) | 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 | ||||
\(603\) | 7.27672 | + | 6.17696i | 0.296331 | + | 0.251545i | ||||
\(604\) | 8.10007 | − | 7.99935i | 0.329587 | − | 0.325489i | ||||
\(605\) | 0.0323941 | + | 1.30924i | 0.00131701 | + | 0.0532282i | ||||
\(606\) | −38.1023 | + | 7.51500i | −1.54780 | + | 0.305276i | ||||
\(607\) | −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 | ||||
\(609\) | 11.7519 | + | 9.23572i | 0.476213 | + | 0.374250i | ||||
\(610\) | 4.96512 | + | 18.8747i | 0.201032 | + | 0.764215i | ||||
\(611\) | −16.8369 | − | 12.2328i | −0.681150 | − | 0.494884i | ||||
\(612\) | −0.771454 | − | 10.2248i | −0.0311842 | − | 0.413313i | ||||
\(613\) | −16.8794 | − | 23.2326i | −0.681754 | − | 0.938355i | 0.318199 | − | 0.948024i | \(-0.396922\pi\) |
−0.999953 | + | 0.00966950i | \(0.996922\pi\) | |||||||
\(614\) | −9.34053 | − | 3.90325i | −0.376953 | − | 0.157522i | ||||
\(615\) | −17.0203 | + | 22.7963i | −0.686326 | + | 0.919234i | ||||
\(616\) | 9.00610 | − | 36.0205i | 0.362866 | − | 1.45131i | ||||
\(617\) | 12.6400 | − | 38.9018i | 0.508866 | − | 1.56613i | −0.285308 | − | 0.958436i | \(-0.592096\pi\) |
0.794173 | − | 0.607691i | \(-0.207904\pi\) | |||||||
\(618\) | −8.36998 | + | 4.66965i | −0.336690 | + | 0.187841i | ||||
\(619\) | −30.5204 | − | 9.91668i | −1.22672 | − | 0.398585i | −0.377194 | − | 0.926134i | \(-0.623111\pi\) |
−0.849524 | + | 0.527549i | \(0.823111\pi\) | |||||||
\(620\) | 1.45754 | + | 8.21669i | 0.0585361 | + | 0.329990i | ||||
\(621\) | −9.95837 | + | 21.8616i | −0.399615 | + | 0.877274i | ||||
\(622\) | −8.24669 | − | 13.5523i | −0.330662 | − | 0.543399i | ||||
\(623\) | −17.8572 | + | 24.5784i | −0.715436 | + | 0.984713i | ||||
\(624\) | 39.1234 | + | 14.9244i | 1.56619 | + | 0.597452i | ||||
\(625\) | 10.0365 | + | 22.8969i | 0.401460 | + | 0.915877i | ||||
\(626\) | 0.807553 | + | 3.41067i | 0.0322763 | + | 0.136318i | ||||
\(627\) | 5.04865 | − | 13.7489i | 0.201624 | − | 0.549080i | ||||
\(628\) | 9.65049 | − | 9.53049i | 0.385096 | − | 0.380308i | ||||
\(629\) | 3.77875 | − | 1.22779i | 0.150669 | − | 0.0489552i | ||||
\(630\) | 33.9423 | − | 18.3612i | 1.35229 | − | 0.731528i | ||||
\(631\) | −12.5237 | − | 4.06919i | −0.498560 | − | 0.161992i | 0.0489334 | − | 0.998802i | \(-0.484418\pi\) |
−0.547493 | + | 0.836810i | \(0.684418\pi\) | |||||||
\(632\) | 4.62894 | + | 5.52394i | 0.184130 | + | 0.219730i | ||||
\(633\) | −33.6878 | − | 1.27260i | −1.33897 | − | 0.0505814i | ||||
\(634\) | 12.3453 | − | 14.3633i | 0.490296 | − | 0.570440i | ||||
\(635\) | −28.8164 | − | 37.6666i | −1.14354 | − | 1.49475i | ||||
\(636\) | −24.5435 | + | 2.78689i | −0.973212 | + | 0.110508i | ||||
\(637\) | −33.9152 | − | 46.6802i | −1.34377 | − | 1.84954i | ||||
\(638\) | −7.34247 | − | 6.31089i | −0.290691 | − | 0.249850i | ||||
\(639\) | −16.2082 | − | 1.22633i | −0.641187 | − | 0.0485127i | ||||
\(640\) | 25.2145 | − | 2.05652i | 0.996690 | − | 0.0812910i | ||||
\(641\) | −11.4977 | − | 15.8252i | −0.454130 | − | 0.625057i | 0.519148 | − | 0.854684i | \(-0.326249\pi\) |
−0.973279 | + | 0.229627i | \(0.926249\pi\) | |||||||
\(642\) | −48.1634 | + | 9.49938i | −1.90086 | + | 0.374911i | ||||
\(643\) | 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 | ||||
\(645\) | 5.97727 | + | 19.2453i | 0.235355 | + | 0.757782i | ||||
\(646\) | −5.41012 | + | 3.29209i | −0.212858 | + | 0.129526i | ||||
\(647\) | 28.7039 | − | 9.32647i | 1.12847 | − | 0.366661i | 0.315474 | − | 0.948934i | \(-0.397836\pi\) |
0.812994 | + | 0.582273i | \(0.197836\pi\) | |||||||
\(648\) | 9.81999 | − | 23.4855i | 0.385765 | − | 0.922597i | ||||
\(649\) | −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 | −0.743104 | − | 0.669175i | \(-0.766647\pi\) |
0.207853 | − | 0.978160i | \(-0.433353\pi\) | |||||||
\(654\) | 8.11936 | + | 7.52984i | 0.317492 | + | 0.294440i | ||||
\(655\) | 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 | \(-0.587819\pi\) |
0.830913 | + | 0.556403i | \(0.187819\pi\) | |||||||
\(660\) | −22.4873 | + | 10.9170i | −0.875315 | + | 0.424946i | ||||
\(661\) | 3.16991 | + | 2.30308i | 0.123295 | + | 0.0895793i | 0.647724 | − | 0.761875i | \(-0.275721\pi\) |
−0.524429 | + | 0.851454i | \(0.675721\pi\) | |||||||
\(662\) | 26.4144 | + | 22.7033i | 1.02662 | + | 0.882389i | ||||
\(663\) | 14.0661 | + | 11.0544i | 0.546284 | + | 0.429318i | ||||
\(664\) | −1.18762 | − | 17.1458i | −0.0460887 | − | 0.665387i | ||||
\(665\) | −19.6230 | − | 13.5282i | −0.760947 | − | 0.524602i | ||||
\(666\) | 9.74215 | + | 1.54405i | 0.377501 | + | 0.0598309i | ||||
\(667\) | 3.03078 | − | 9.32779i | 0.117352 | − | 0.361174i | ||||
\(668\) | −12.4645 | − | 24.8461i | −0.482268 | − | 0.961325i | ||||
\(669\) | 0.825917 | − | 21.8633i | 0.0319318 | − | 0.845285i | ||||
\(670\) | −8.46301 | + | 5.44112i | −0.326955 | + | 0.210209i | ||||
\(671\) | 6.15471 | + | 18.9422i | 0.237600 | + | 0.731257i | ||||
\(672\) | −39.1961 | + | 7.22244i | −1.51202 | + | 0.278612i | ||||
\(673\) | −8.48668 | + | 11.6809i | −0.327138 | + | 0.450266i | −0.940630 | − | 0.339435i | \(-0.889764\pi\) |
0.613492 | + | 0.789701i | \(0.289764\pi\) | |||||||
\(674\) | 3.49744 | + | 14.7713i | 0.134716 | + | 0.568969i | ||||
\(675\) | −24.1470 | − | 9.58754i | −0.929420 | − | 0.369024i | ||||
\(676\) | −42.0612 | + | 21.1008i | −1.61774 | + | 0.811570i | ||||
\(677\) | 21.0140 | + | 15.2675i | 0.807632 | + | 0.586779i | 0.913143 | − | 0.407639i | \(-0.133648\pi\) |
−0.105511 | + | 0.994418i | \(0.533648\pi\) | |||||||
\(678\) | −12.5881 | − | 11.6741i | −0.483442 | − | 0.448341i | ||||
\(679\) | −60.7409 | + | 19.7359i | −2.33102 | + | 0.757394i | ||||
\(680\) | 10.5474 | + | 2.36154i | 0.404473 | + | 0.0905611i | ||||
\(681\) | 40.5880 | + | 1.53327i | 1.55534 | + | 0.0587549i | ||||
\(682\) | 1.96213 | + | 8.28696i | 0.0751337 | + | 0.317324i | ||||
\(683\) | 29.3508 | + | 9.53665i | 1.12308 | + | 0.364910i | 0.810941 | − | 0.585127i | \(-0.198956\pi\) |
0.312136 | + | 0.950037i | \(0.398956\pi\) | |||||||
\(684\) | −15.6776 | + | 1.18286i | −0.599447 | + | 0.0452279i | ||||
\(685\) | 30.7075 | − | 10.8243i | 1.17327 | − | 0.413575i | ||||
\(686\) | 13.5182 | + | 5.64905i | 0.516129 | + | 0.215682i | ||||
\(687\) | −10.2713 | + | 13.0696i | −0.391873 | + | 0.498637i | ||||
\(688\) | 0.260414 | − | 20.8114i | 0.00992818 | − | 0.793427i | ||||
\(689\) | 25.3316 | − | 34.8660i | 0.965057 | − | 1.32829i | ||||
\(690\) | −18.9871 | − | 16.7543i | −0.722828 | − | 0.637826i | ||||
\(691\) | 1.42181 | + | 1.95695i | 0.0540881 | + | 0.0744459i | 0.835204 | − | 0.549940i | \(-0.185349\pi\) |
−0.781116 | + | 0.624386i | \(0.785349\pi\) | |||||||
\(692\) | 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 | ||||
\(696\) | −2.89971 | + | 9.98016i | −0.109913 | + | 0.378297i | ||||
\(697\) | 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 | \(0.844993\pi\) | |||||||
\(702\) | 18.6508 | + | 40.3075i | 0.703929 | + | 1.52131i | ||||
\(703\) | −1.88256 | − | 5.79392i | −0.0710020 | − | 0.218522i | ||||
\(704\) | 25.5704 | − | 3.55940i | 0.963722 | − | 0.134150i | ||||
\(705\) | −7.69772 | − | 10.8904i | −0.289913 | − | 0.410157i | ||||
\(706\) | 0.463004 | − | 5.65674i | 0.0174254 | − | 0.212894i | ||||
\(707\) | 64.4940i | 2.42555i | ||||||||
\(708\) | 17.4205 | + | 38.2645i | 0.654702 | + | 1.43807i | ||||
\(709\) | −20.9371 | + | 15.2117i | −0.786310 | + | 0.571287i | −0.906866 | − | 0.421419i | \(-0.861532\pi\) |
0.120556 | + | 0.992706i | \(0.461532\pi\) | |||||||
\(710\) | 6.21325 | − | 15.9675i | 0.233179 | − | 0.599251i | ||||
\(711\) | −0.576716 | + | 7.62240i | −0.0216285 | + | 0.285862i | ||||
\(712\) | −20.4935 | − | 5.12392i | −0.768027 | − | 0.192027i | ||||
\(713\) | −6.97926 | + | 5.07073i | −0.261375 | + | 0.189900i | ||||
\(714\) | −16.9069 | − | 2.02878i | −0.632725 | − | 0.0759254i | ||||
\(715\) | 12.4471 | − | 41.7992i | 0.465495 | − | 1.56320i | ||||
\(716\) | 7.64868 | − | 14.7820i | 0.285844 | − | 0.552430i | ||||
\(717\) | −1.90241 | + | 50.3599i | −0.0710469 | + | 1.88072i | ||||
\(718\) | −1.90847 | + | 0.451874i | −0.0712236 | + | 0.0168638i | ||||
\(719\) | 7.67165 | − | 23.6109i | 0.286104 | − | 0.880539i | −0.699961 | − | 0.714181i | \(-0.746799\pi\) |
0.986065 | − | 0.166358i | \(-0.0532007\pi\) | |||||||
\(720\) | 20.6672 | + | 17.1134i | 0.770220 | + | 0.637778i | ||||
\(721\) | 4.91850 | + | 15.1376i | 0.183174 | + | 0.563753i | ||||
\(722\) | −8.92010 | − | 14.6590i | −0.331972 | − | 0.545552i | ||||
\(723\) | 38.8144 | + | 14.2528i | 1.44352 | + | 0.530066i | ||||
\(724\) | 16.8576 | − | 8.45696i | 0.626508 | − | 0.314300i | ||||
\(725\) | 10.2378 | + | 2.77488i | 0.380222 | + | 0.103057i | ||||
\(726\) | 1.25285 | − | 0.698971i | 0.0464976 | − | 0.0259412i | ||||
\(727\) | −6.99800 | − | 5.08435i | −0.259542 | − | 0.188568i | 0.450403 | − | 0.892825i | \(-0.351280\pi\) |
−0.709945 | + | 0.704257i | \(0.751280\pi\) | |||||||
\(728\) | 36.8880 | − | 58.9469i | 1.36716 | − | 2.18472i | ||||
\(729\) | 24.8500 | − | 10.5582i | 0.920371 | − | 0.391046i | ||||
\(730\) | 8.22157 | − | 2.16274i | 0.304294 | − | 0.0800466i | ||||
\(731\) | 2.74785 | − | 8.45702i | 0.101633 | − | 0.312794i | ||||
\(732\) | 15.7682 | − | 14.4379i | 0.582811 | − | 0.533639i | ||||
\(733\) | 49.4782 | + | 16.0764i | 1.82752 | + | 0.593797i | 0.999450 | + | 0.0331691i | \(0.0105600\pi\) |
0.828068 | + | 0.560627i | \(0.189440\pi\) | |||||||
\(734\) | 6.53488 | − | 7.60308i | 0.241207 | − | 0.280635i | ||||
\(735\) | −10.9670 | − | 35.3108i | −0.404523 | − | 1.30246i | ||||
\(736\) | 13.3144 | + | 22.5099i | 0.490774 | + | 0.829725i | ||||
\(737\) | −8.30661 | + | 6.03511i | −0.305978 | + | 0.222306i | ||||
\(738\) | 30.7804 | + | 4.87846i | 1.13304 | + | 0.179578i | ||||
\(739\) | −6.41467 | + | 8.82904i | −0.235968 | + | 0.324781i | −0.910535 | − | 0.413432i | \(-0.864330\pi\) |
0.674568 | + | 0.738213i | \(0.264330\pi\) | |||||||
\(740\) | −4.54827 | + | 9.34972i | −0.167198 | + | 0.343702i | ||||
\(741\) | 16.9496 | − | 21.5675i | 0.622660 | − | 0.792301i | ||||
\(742\) | −3.34632 | + | 40.8836i | −0.122847 | + | 1.50089i | ||||
\(743\) | − | 29.0732i | − | 1.06659i | −0.845929 | − | 0.533296i | \(-0.820953\pi\) | ||
0.845929 | − | 0.533296i | \(-0.179047\pi\) | |||||||
\(744\) | 7.22327 | − | 5.60272i | 0.264818 | − | 0.205406i | ||||
\(745\) | −8.38748 | + | 28.1664i | −0.307293 | + | 1.03194i | ||||
\(746\) | −45.4779 | + | 27.6736i | −1.66506 | + | 1.01320i | ||||
\(747\) | 11.7971 | − | 13.8975i | 0.431635 | − | 0.508484i | ||||
\(748\) | 10.8833 | + | 1.79362i | 0.397934 | + | 0.0655812i | ||||
\(749\) | 81.5241i | 2.97882i | ||||||||
\(750\) | 17.0821 | − | 21.4056i | 0.623750 | − | 0.781624i | ||||
\(751\) | 23.4495i | 0.855686i | 0.903853 | + | 0.427843i | \(0.140726\pi\) | ||||
−0.903853 | + | 0.427843i | \(0.859274\pi\) | |||||||
\(752\) | 4.09205 | + | 13.1517i | 0.149222 | + | 0.479595i | ||||
\(753\) | 14.6858 | + | 21.9072i | 0.535182 | + | 0.798341i | ||||
\(754\) | −9.42589 | − | 15.4902i | −0.343271 | − | 0.564120i | ||||
\(755\) | −3.63253 | + | 12.1986i | −0.132201 | + | 0.443952i | ||||
\(756\) | −35.1087 | − | 23.5464i | −1.27689 | − | 0.856375i | ||||
\(757\) | 6.39980i | 0.232605i | 0.993214 | + | 0.116302i | \(0.0371041\pi\) | ||||
−0.993214 | + | 0.116302i | \(0.962896\pi\) | |||||||
\(758\) | 30.7622 | + | 2.51789i | 1.11733 | + | 0.0914537i | ||||
\(759\) | −20.3180 | − | 15.9676i | −0.737495 | − | 0.579589i | ||||
\(760\) | 3.62093 | − | 16.1722i | 0.131345 | − | 0.586627i | ||||
\(761\) | −0.969420 | + | 1.33429i | −0.0351414 | + | 0.0483680i | −0.826226 | − | 0.563339i | \(-0.809517\pi\) |
0.791085 | + | 0.611707i | \(0.209517\pi\) | |||||||
\(762\) | −21.8264 | + | 47.1444i | −0.790686 | + | 1.70786i | ||||
\(763\) | 14.8773 | − | 10.8090i | 0.538595 | − | 0.391312i | ||||
\(764\) | 6.11324 | + | 1.00749i | 0.221169 | + | 0.0364496i | ||||
\(765\) | 6.25902 | + | 9.60477i | 0.226295 | + | 0.347261i | ||||
\(766\) | −19.5356 | − | 16.7909i | −0.705849 | − | 0.606681i | ||||
\(767\) | −69.7637 | − | 22.6676i | −2.51902 | − | 0.818480i | ||||
\(768\) | −14.8504 | − | 23.3980i | −0.535868 | − | 0.844302i | ||||
\(769\) | −10.2666 | + | 31.5974i | −0.370224 | + | 1.13943i | 0.576421 | + | 0.817153i | \(0.304449\pi\) |
−0.946645 | + | 0.322279i | \(0.895551\pi\) | |||||||
\(770\) | 10.5607 | + | 40.1461i | 0.380581 | + | 1.44676i | ||||
\(771\) | 13.5876 | + | 20.2690i | 0.489347 | + | 0.729969i | ||||
\(772\) | −11.5868 | + | 11.4427i | −0.417019 | + | 0.411834i | ||||
\(773\) | −17.3306 | − | 12.5914i | −0.623337 | − | 0.452881i | 0.230749 | − | 0.973013i | \(-0.425882\pi\) |
−0.854085 | + | 0.520133i | \(0.825882\pi\) | |||||||
\(774\) | 15.6114 | − | 15.6081i | 0.561140 | − | 0.561022i | ||||
\(775\) | −5.85059 | − | 7.26764i | −0.210159 | − | 0.261061i | ||||
\(776\) | −28.5226 | − | 34.0374i | −1.02390 | − | 1.22187i | ||||
\(777\) | 5.64629 | − | 15.3765i | 0.202560 | − | 0.551628i | ||||
\(778\) | −4.21898 | + | 2.56727i | −0.151258 | + | 0.0920412i | ||||
\(779\) | −5.94796 | − | 18.3059i | −0.213108 | − | 0.655879i | ||||
\(780\) | −46.3720 | + | 6.43094i | −1.66038 | + | 0.230265i | ||||
\(781\) | 5.40320 | − | 16.6293i | 0.193342 | − | 0.595045i | ||||
\(782\) | 2.57443 | + | 10.8730i | 0.0920613 | + | 0.388817i | ||||
\(783\) | −9.59327 | + | 5.42978i | −0.342836 | + | 0.194044i | ||||
\(784\) | −0.477801 | + | 38.1843i | −0.0170643 | + | 1.36372i | ||||
\(785\) | −4.32783 | + | 14.5335i | −0.154467 | + | 0.518723i | ||||
\(786\) | −0.232265 | − | 0.0278712i | −0.00828462 | − | 0.000994133i | ||||
\(787\) | −20.1032 | + | 14.6058i | −0.716601 | + | 0.520641i | −0.885296 | − | 0.465027i | \(-0.846045\pi\) |
0.168696 | + | 0.985668i | \(0.446045\pi\) | |||||||
\(788\) | −4.28074 | + | 8.27305i | −0.152495 | + | 0.294715i | ||||
\(789\) | 15.3431 | − | 41.7836i | 0.546228 | − | 1.48753i | ||||
\(790\) | −7.50922 | − | 2.92197i | −0.267166 | − | 0.103959i | ||||
\(791\) | −23.0655 | + | 16.7580i | −0.820113 | + | 0.595847i | ||||
\(792\) | 22.0505 | + | 16.2359i | 0.783531 | + | 0.576919i | ||||
\(793\) | 37.3015i | 1.32462i | ||||||||
\(794\) | −14.0784 | − | 1.15231i | −0.499622 | − | 0.0408940i | ||||
\(795\) | 22.5519 | − | 15.9404i | 0.799833 | − | 0.565349i | ||||
\(796\) | 20.9834 | − | 20.7224i | 0.743736 | − | 0.734488i | ||||
\(797\) | 8.62486 | + | 26.5446i | 0.305508 | + | 0.940257i | 0.979487 | + | 0.201507i | \(0.0645838\pi\) |
−0.673979 | + | 0.738751i | \(0.735416\pi\) | |||||||
\(798\) | −3.11072 | + | 25.9232i | −0.110118 | + | 0.917671i | ||||
\(799\) | 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 | ||||
\(804\) | 9.59058 | + | 5.43092i | 0.338234 | + | 0.191534i | ||||
\(805\) | −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 | \(-0.126439\pi\) |
−0.652880 | + | 0.757461i | \(0.726439\pi\) | |||||||
\(810\) | 3.01670 | + | 28.3002i | 0.105996 | + | 0.994367i | ||||
\(811\) | 19.3916 | − | 26.6902i | 0.680930 | − | 0.937219i | −0.319015 | − | 0.947750i | \(-0.603352\pi\) |
0.999945 | + | 0.0105305i | \(0.00335204\pi\) | |||||||
\(812\) | 15.3286 | + | 7.93151i | 0.537929 | + | 0.278341i | ||||
\(813\) | 40.6896 | + | 31.9775i | 1.42705 | + | 1.12150i | ||||
\(814\) | −4.09111 | + | 9.79008i | −0.143393 | + | 0.343142i | ||||
\(815\) | 31.3812 | − | 11.0617i | 1.09923 | − | 0.387476i | ||||
\(816\) | −3.08834 | − | 11.4303i | −0.108113 | − | 0.400139i | ||||
\(817\) | −12.9671 | − | 4.21326i | −0.453660 | − | 0.147403i | ||||
\(818\) | 31.9676 | − | 7.56905i | 1.11772 | − | 0.264646i | ||||
\(819\) | 71.6654 | − | 17.4346i | 2.50419 | − | 0.609215i | ||||
\(820\) | −14.3703 | + | 29.5405i | −0.501833 | + | 1.03160i | ||||
\(821\) | 28.5949 | − | 9.29105i | 0.997969 | − | 0.324260i | 0.235915 | − | 0.971774i | \(-0.424191\pi\) |
0.762054 | + | 0.647514i | \(0.224191\pi\) | |||||||
\(822\) | −26.1520 | − | 24.2532i | −0.912155 | − | 0.845926i | ||||
\(823\) | 8.40793 | + | 6.10872i | 0.293082 | + | 0.212937i | 0.724603 | − | 0.689166i | \(-0.242023\pi\) |
−0.431521 | + | 0.902103i | \(0.642023\pi\) | |||||||
\(824\) | −8.48264 | + | 7.10828i | −0.295507 | + | 0.247629i | ||||
\(825\) | 16.1612 | − | 22.8011i | 0.562661 | − | 0.793832i | ||||
\(826\) | 67.9414 | − | 16.0867i | 2.36398 | − | 0.559727i | ||||
\(827\) | −2.26634 | + | 3.11935i | −0.0788085 | + | 0.108471i | −0.846601 | − | 0.532228i | \(-0.821355\pi\) |
0.767793 | + | 0.640698i | \(0.221355\pi\) | |||||||
\(828\) | −6.56276 | + | 26.9517i | −0.228072 | + | 0.936635i | ||||
\(829\) | −11.8363 | − | 36.4284i | −0.411092 | − | 1.26521i | −0.915700 | − | 0.401862i | \(-0.868363\pi\) |
0.504608 | − | 0.863349i | \(-0.331637\pi\) | |||||||
\(830\) | 10.3918 | + | 16.1632i | 0.360704 | + | 0.561032i | ||||
\(831\) | 10.1923 | + | 0.385027i | 0.353566 | + | 0.0133564i | ||||
\(832\) | 47.6055 | + | 8.45871i | 1.65042 | + | 0.293253i | ||||
\(833\) | −5.04170 | + | 15.5168i | −0.174685 | + | 0.537624i | ||||
\(834\) | −3.33050 | − | 1.54192i | −0.115326 | − | 0.0533922i | ||||
\(835\) | 25.5871 | + | 17.6399i | 0.885479 | + | 0.610455i | ||||
\(836\) | 2.75014 | − | 16.6873i | 0.0951154 | − | 0.577143i | ||||
\(837\) | 9.63383 | + | 1.09597i | 0.332994 | + | 0.0378821i | ||||
\(838\) | −1.27861 | + | 1.48761i | −0.0441687 | + | 0.0513886i | ||||
\(839\) | −4.43162 | − | 3.21976i | −0.152996 | − | 0.111158i | 0.508653 | − | 0.860971i | \(-0.330143\pi\) |
−0.661650 | + | 0.749813i | \(0.730143\pi\) | |||||||
\(840\) | 34.5237 | − | 28.1732i | 1.19118 | − | 0.972068i | ||||
\(841\) | −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 | ||||
\(846\) | −6.63378 | + | 13.0162i | −0.228074 | + | 0.447505i | ||||
\(847\) | −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 | ||||||||
\(852\) | −18.6493 | + | 2.11761i | −0.638914 | + | 0.0725483i | ||||
\(853\) | −10.1345 | + | 3.29290i | −0.346999 | + | 0.112747i | −0.477331 | − | 0.878724i | \(-0.658396\pi\) |
0.130332 | + | 0.991470i | \(0.458396\pi\) | |||||||
\(854\) | −18.4562 | − | 30.3304i | −0.631558 | − | 1.03788i | ||||
\(855\) | 14.7269 | − | 9.59689i | 0.503649 | − | 0.328207i | ||||
\(856\) | −52.5720 | + | 21.2003i | −1.79687 | + | 0.724610i | ||||
\(857\) | −54.9309 | −1.87640 | −0.938202 | − | 0.346089i | \(-0.887509\pi\) | ||||
−0.938202 | + | 0.346089i | \(0.887509\pi\) | |||||||
\(858\) | −46.8728 | + | 9.24483i | −1.60021 | + | 0.315613i | ||||
\(859\) | 11.1566 | + | 15.3558i | 0.380659 | + | 0.523932i | 0.955759 | − | 0.294151i | \(-0.0950368\pi\) |
−0.575100 | + | 0.818083i | \(0.695037\pi\) | |||||||
\(860\) | 10.9456 | + | 20.5347i | 0.373241 | + | 0.700226i | ||||
\(861\) | 17.8395 | − | 48.5821i | 0.607969 | − | 1.65567i | ||||
\(862\) | 24.0320 | − | 27.9603i | 0.818533 | − | 0.952330i | ||||
\(863\) | 10.2671 | + | 14.1315i | 0.349497 | + | 0.481042i | 0.947185 | − | 0.320687i | \(-0.103914\pi\) |
−0.597688 | + | 0.801729i | \(0.703914\pi\) | |||||||
\(864\) | 6.05428 | − | 28.7636i | 0.205971 | − | 0.978558i | ||||
\(865\) | −17.9613 | − | 23.4776i | −0.610702 | − | 0.798263i | ||||
\(866\) | −8.92374 | − | 7.67000i | −0.303241 | − | 0.260637i | ||||
\(867\) | −0.920567 | + | 24.3689i | −0.0312641 | + | 0.827610i | ||||
\(868\) | −6.80721 | − | 13.5691i | −0.231052 | − | 0.460566i | ||||
\(869\) | −7.82045 | − | 2.54102i | −0.265291 | − | 0.0861981i | ||||
\(870\) | −2.52973 | − | 11.3409i | −0.0857660 | − | 0.384491i | ||||
\(871\) | −18.2883 | + | 5.94224i | −0.619676 | + | 0.201345i | ||||
\(872\) | 10.8392 | + | 6.78299i | 0.367061 | + | 0.229701i | ||||
\(873\) | 3.55361 | − | 46.9677i | 0.120271 | − | 1.58961i | ||||
\(874\) | 16.6714 | − | 3.94734i | 0.563920 | − | 0.133521i | ||||
\(875\) | −29.3864 | − | 34.7101i | −0.993443 | − | 1.17342i | ||||
\(876\) | −6.28894 | − | 6.86843i | −0.212483 | − | 0.232063i | ||||
\(877\) | −14.9247 | + | 20.5421i | −0.503972 | + | 0.693658i | −0.982888 | − | 0.184202i | \(-0.941030\pi\) |
0.478916 | + | 0.877861i | \(0.341030\pi\) | |||||||
\(878\) | −11.1555 | + | 6.78820i | −0.376480 | + | 0.229090i | ||||
\(879\) | −8.84040 | − | 13.1874i | −0.298179 | − | 0.444800i | ||||
\(880\) | −23.1425 | + | 17.2502i | −0.780134 | + | 0.581504i | ||||
\(881\) | −23.0645 | − | 7.49412i | −0.777064 | − | 0.252483i | −0.106478 | − | 0.994315i | \(-0.533957\pi\) |
−0.670586 | + | 0.741832i | \(0.733957\pi\) | |||||||
\(882\) | −28.6435 | + | 28.6374i | −0.964476 | + | 0.964273i | ||||
\(883\) | 4.89375 | − | 15.0614i | 0.164688 | − | 0.506857i | −0.834325 | − | 0.551272i | \(-0.814143\pi\) |
0.999013 | + | 0.0444154i | \(0.0141425\pi\) | |||||||
\(884\) | 18.3471 | + | 9.49338i | 0.617081 | + | 0.319297i | ||||
\(885\) | −37.6656 | − | 28.1222i | −1.26611 | − | 0.945316i | ||||
\(886\) | −4.98215 | + | 11.9224i | −0.167379 | + | 0.400540i | ||||
\(887\) | −24.7206 | − | 34.0250i | −0.830038 | − | 1.14245i | −0.987916 | − | 0.154990i | \(-0.950465\pi\) |
0.157878 | − | 0.987459i | \(-0.449535\pi\) | |||||||
\(888\) | 11.3841 | − | 0.357544i | 0.382024 | − | 0.0119984i | ||||
\(889\) | 69.7975 | + | 50.7108i | 2.34093 | + | 1.70079i | ||||
\(890\) | 22.8407 | − | 6.00840i | 0.765622 | − | 0.201402i | ||||
\(891\) | 4.71685 | + | 28.6585i | 0.158020 | + | 0.960096i | ||||
\(892\) | −3.79591 | − | 24.9768i | −0.127097 | − | 0.836285i | ||||
\(893\) | 9.02296 | 0.301942 | ||||||||
\(894\) | 31.5852 | − | 6.22963i | 1.05637 | − | 0.208350i | ||||
\(895\) | 0.460275 | + | 18.6024i | 0.0153853 | + | 0.621811i | ||||
\(896\) | −42.8939 | + | 16.6766i | −1.43298 | + | 0.557125i | ||||
\(897\) | −26.9488 | − | 40.2001i | −0.899794 | − | 1.34224i | ||||
\(898\) | 2.37307 | − | 5.67879i | 0.0791904 | − | 0.189504i | ||||
\(899\) | −3.95858 | −0.132026 | ||||||||
\(900\) | −29.4636 | − | 5.64742i | −0.982122 | − | 0.188247i | ||||
\(901\) | −12.1861 | −0.405976 | ||||||||
\(902\) | −12.9259 | + | 30.9319i | −0.430385 | + | 1.02992i | ||||
\(903\) | −20.4133 | − | 30.4509i | −0.679311 | − | 1.01334i | ||||
\(904\) | −16.8048 | − | 10.5162i | −0.558920 | − | 0.349763i | ||||
\(905\) | −11.9684 | + | 17.3604i | −0.397842 | + | 0.577079i | ||||
\(906\) | 13.6792 | − | 2.69799i | 0.454463 | − | 0.0896347i | ||||
\(907\) | 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 | ||||
\(909\) | −43.9987 | − | 18.0692i | −1.45935 | − | 0.599319i | ||||
\(910\) | −4.42367 | + | 77.6193i | −0.146643 | + | 2.57305i | ||||
\(911\) | −45.4322 | − | 33.0084i | −1.50524 | − | 1.09362i | −0.968236 | − | 0.250036i | \(-0.919557\pi\) |
−0.537000 | − | 0.843582i | \(-0.680443\pi\) | |||||||
\(912\) | −17.5259 | + | 4.73532i | −0.580341 | + | 0.156802i | ||||
\(913\) | 11.5262 | + | 15.8645i | 0.381462 | + | 0.525038i | ||||
\(914\) | −4.43329 | + | 10.6089i | −0.146640 | + | 0.350912i | ||||
\(915\) | −7.68186 | + | 22.6352i | −0.253954 | + | 0.748295i | ||||
\(916\) | −8.82082 | + | 17.0473i | −0.291448 | + | 0.563260i | ||||
\(917\) | −0.120047 | + | 0.369468i | −0.00396431 | + | 0.0122009i | ||||
\(918\) | 6.12086 | − | 10.9657i | 0.202019 | − | 0.361923i | ||||
\(919\) | 15.7263 | + | 5.10978i | 0.518763 | + | 0.168556i | 0.556684 | − | 0.830725i | \(-0.312074\pi\) |
−0.0379210 | + | 0.999281i | \(0.512074\pi\) | |||||||
\(920\) | −25.1625 | − | 14.8931i | −0.829584 | − | 0.491012i | ||||
\(921\) | −6.90377 | − | 10.2985i | −0.227487 | − | 0.339347i | ||||
\(922\) | −32.4740 | + | 19.7606i | −1.06947 | + | 0.650781i | ||||
\(923\) | 19.2481 | − | 26.4928i | 0.633561 | − | 0.872021i | ||||
\(924\) | 33.5387 | − | 30.7090i | 1.10334 | − | 1.01025i | ||||
\(925\) | −0.574893 | − | 11.6103i | −0.0189024 | − | 0.381745i | ||||
\(926\) | 27.5687 | − | 6.52752i | 0.905964 | − | 0.214508i | ||||
\(927\) | −11.7051 | − | 0.885615i | −0.384445 | − | 0.0290874i | ||||
\(928\) | −1.12856 | + | 11.9475i | −0.0370466 | + | 0.392195i | ||||
\(929\) | −21.1373 | + | 6.86792i | −0.693492 | + | 0.225329i | −0.634493 | − | 0.772929i | \(-0.718791\pi\) |
−0.0589992 | + | 0.998258i | \(0.518791\pi\) | |||||||
\(930\) | −4.06317 | + | 9.37808i | −0.133236 | + | 0.307519i | ||||
\(931\) | 23.7917 | + | 7.73039i | 0.779741 | + | 0.253353i | ||||
\(932\) | 18.3880 | − | 9.22469i | 0.602318 | − | 0.302165i | ||||
\(933\) | 0.733458 | − | 19.4158i | 0.0240123 | − | 0.635644i | ||||
\(934\) | −2.99244 | − | 2.57201i | −0.0979155 | − | 0.0841589i | ||||
\(935\) | −11.6307 | + | 4.09976i | −0.380363 | + | 0.134077i | ||||
\(936\) | 29.8795 | + | 41.6806i | 0.976643 | + | 1.36237i | ||||
\(937\) | 18.7111 | + | 25.7536i | 0.611263 | + | 0.841332i | 0.996681 | − | 0.0814105i | \(-0.0259425\pi\) |
−0.385417 | + | 0.922742i | \(0.625942\pi\) | |||||||
\(938\) | 11.9304 | − | 13.8805i | 0.389540 | − | 0.453214i | ||||
\(939\) | −1.47968 | + | 4.02960i | −0.0482876 | + | 0.131501i | ||||
\(940\) | −11.0884 | − | 10.6859i | −0.361664 | − | 0.348537i | ||||
\(941\) | −27.9137 | − | 38.4199i | −0.909961 | − | 1.25245i | −0.967180 | − | 0.254093i | \(-0.918223\pi\) |
0.0572187 | − | 0.998362i | \(-0.481777\pi\) | |||||||
\(942\) | 16.2976 | − | 3.21441i | 0.531004 | − | 0.104731i | ||||
\(943\) | −33.9600 | −1.10589 | ||||||||
\(944\) | 28.0418 | + | 39.6297i | 0.912684 | + | 1.28984i | ||||
\(945\) | 47.0782 | + | 4.17911i | 1.53145 | + | 0.135947i | ||||
\(946\) | 12.3443 | + | 20.2862i | 0.401347 | + | 0.659561i | ||||
\(947\) | 9.26886 | − | 3.01163i | 0.301197 | − | 0.0978650i | −0.154519 | − | 0.987990i | \(-0.549383\pi\) |
0.455717 | + | 0.890125i | \(0.349383\pi\) | |||||||
\(948\) | 0.995872 | + | 8.77039i | 0.0323444 | + | 0.284849i | ||||
\(949\) | 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 | \(-0.0140692\pi\) |
−0.834198 | + | 0.551465i | \(0.814069\pi\) | |||||||
\(954\) | −26.9539 | − | 13.7373i | −0.872664 | − | 0.444760i | ||||
\(955\) | −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 | ||||
\(960\) | 27.1458 | + | 14.9367i | 0.876127 | + | 0.482081i | ||||
\(961\) | −22.2626 | − | 16.1747i | −0.718148 | − | 0.521765i | ||||
\(962\) | −12.9529 | + | 15.0702i | −0.417619 | + | 0.485883i | ||||
\(963\) | −55.6169 | − | 22.8405i | −1.79223 | − | 0.736026i | ||||
\(964\) | 47.1096 | + | 7.76386i | 1.51730 | + | 0.250057i | ||||
\(965\) | 5.19619 | − | 17.4496i | 0.167271 | − | 0.561722i | ||||
\(966\) | 41.8028 | + | 19.3534i | 1.34498 | + | 0.622684i | ||||
\(967\) | 3.91949 | − | 12.0629i | 0.126042 | − | 0.387918i | −0.868047 | − | 0.496481i | \(-0.834625\pi\) |
0.994090 | + | 0.108564i | \(0.0346251\pi\) | |||||||
\(968\) | 1.26971 | − | 1.06399i | 0.0408101 | − | 0.0341980i | ||||
\(969\) | −7.75081 | − | 0.292797i | −0.248992 | − | 0.00940601i | ||||
\(970\) | 46.2703 | + | 18.0046i | 1.48565 | + | 0.578091i | ||||
\(971\) | 2.55368 | + | 7.85942i | 0.0819515 | + | 0.252221i | 0.983634 | − | 0.180178i | \(-0.0576673\pi\) |
−0.901683 | + | 0.432399i | \(0.857667\pi\) | |||||||
\(972\) | 25.9001 | − | 17.3547i | 0.830746 | − | 0.556652i | ||||
\(973\) | −3.58245 | + | 4.93082i | −0.114848 | + | 0.158075i | ||||
\(974\) | −6.79544 | + | 1.60898i | −0.217740 | + | 0.0515549i | ||||
\(975\) | 41.9819 | − | 31.2597i | 1.34450 | − | 1.00111i | ||||
\(976\) | 14.7595 | − | 19.7892i | 0.472439 | − | 0.633435i | ||||
\(977\) | 45.1996 | + | 32.8394i | 1.44606 | + | 1.05063i | 0.986732 | + | 0.162360i | \(0.0519105\pi\) |
0.459330 | + | 0.888266i | \(0.348089\pi\) | |||||||
\(978\) | −26.7257 | − | 24.7852i | −0.854592 | − | 0.792543i | ||||
\(979\) | 22.9224 | − | 7.44794i | 0.732603 | − | 0.238037i | ||||
\(980\) | −20.0827 | − | 37.6765i | −0.641518 | − | 1.20353i | ||||
\(981\) | 3.20589 | + | 13.1779i | 0.102356 | + | 0.420737i | ||||
\(982\) | −22.6860 | + | 5.37142i | −0.723938 | + | 0.171409i | ||||
\(983\) | 25.4057 | + | 8.25480i | 0.810315 | + | 0.263287i | 0.684731 | − | 0.728796i | \(-0.259920\pi\) |
0.125584 | + | 0.992083i | \(0.459920\pi\) | |||||||
\(984\) | 35.9681 | − | 1.12966i | 1.14662 | − | 0.0360124i | ||||
\(985\) | −0.257602 | − | 10.4112i | −0.00820788 | − | 0.331729i | ||||
\(986\) | −1.97691 | + | 4.73076i | −0.0629575 | + | 0.150658i | ||||
\(987\) | 19.0752 | + | 14.9910i | 0.607169 | + | 0.477167i | ||||
\(988\) | 14.5561 | − | 28.1315i | 0.463091 | − | 0.894982i | ||||
\(989\) | −14.1396 | + | 19.4614i | −0.449612 | + | 0.618838i | ||||
\(990\) | −30.3470 | − | 4.04304i | −0.964492 | − | 0.128496i | ||||
\(991\) | 6.45863 | + | 8.88954i | 0.205165 | + | 0.282385i | 0.899183 | − | 0.437572i | \(-0.144161\pi\) |
−0.694018 | + | 0.719957i | \(0.744161\pi\) | |||||||
\(992\) | 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 | ||||
\(996\) | 10.3723 | − | 18.3167i | 0.328659 | − | 0.580386i | ||||
\(997\) | 26.1226 | − | 8.48774i | 0.827310 | − | 0.268809i | 0.135398 | − | 0.990791i | \(-0.456769\pi\) |
0.691912 | + | 0.721982i | \(0.256769\pi\) | |||||||
\(998\) | −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.59.50 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.7 | ✓ | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.40 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.17 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.17 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.40 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.7 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.50 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.7 | ✓ | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.17 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.40 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.50 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.7 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.17 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.40 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.50 | yes | 224 | 300.239 | even | 10 | inner |