Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(76,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.1223810289.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 2x^{7} + 8x^{6} - 2x^{5} + 23x^{4} - 8x^{3} + 37x^{2} + 15x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 76.4 | ||
Root | \(-0.816862 - 1.41485i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 225.76 |
Dual form | 225.2.e.c.151.4 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.816862 | + | 1.41485i | 0.577608 | + | 1.00045i | 0.995753 | + | 0.0920666i | \(0.0293473\pi\) |
−0.418144 | + | 0.908381i | \(0.637319\pi\) | |||||||
\(3\) | 1.06419 | − | 1.36657i | 0.614409 | − | 0.788988i | ||||
\(4\) | −0.334526 | + | 0.579416i | −0.167263 | + | 0.289708i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.80278 | + | 0.389365i | 1.14423 | + | 0.158958i | ||||
\(7\) | 0.252674 | + | 0.437645i | 0.0955019 | + | 0.165414i | 0.909818 | − | 0.415008i | \(-0.136221\pi\) |
−0.814316 | + | 0.580422i | \(0.802888\pi\) | |||||||
\(8\) | 2.17440 | 0.768767 | ||||||||
\(9\) | −0.735010 | − | 2.90857i | −0.245003 | − | 0.969522i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.55010 | − | 2.68485i | −0.467373 | − | 0.809514i | 0.531932 | − | 0.846787i | \(-0.321466\pi\) |
−0.999305 | + | 0.0372730i | \(0.988133\pi\) | |||||||
\(12\) | 0.435812 | + | 1.07376i | 0.125808 | + | 0.309968i | ||||
\(13\) | −3.11964 | + | 5.40337i | −0.865232 | + | 1.49863i | 0.00158518 | + | 0.999999i | \(0.499495\pi\) |
−0.866817 | + | 0.498627i | \(0.833838\pi\) | |||||||
\(14\) | −0.412800 | + | 0.714990i | −0.110325 | + | 0.191089i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.44524 | + | 4.23527i | 0.611309 | + | 1.05882i | ||||
\(17\) | 6.10020 | 1.47952 | 0.739758 | − | 0.672873i | \(-0.234940\pi\) | ||||
0.739758 | + | 0.672873i | \(0.234940\pi\) | |||||||
\(18\) | 3.51477 | − | 3.41582i | 0.828440 | − | 0.805117i | ||||
\(19\) | −5.57022 | −1.27790 | −0.638948 | − | 0.769250i | \(-0.720630\pi\) | ||||
−0.638948 | + | 0.769250i | \(0.720630\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.866963 | + | 0.120440i | 0.189187 | + | 0.0262821i | ||||
\(22\) | 2.53244 | − | 4.38631i | 0.539917 | − | 0.935164i | ||||
\(23\) | −1.91280 | + | 3.31307i | −0.398846 | + | 0.690822i | −0.993584 | − | 0.113098i | \(-0.963923\pi\) |
0.594738 | + | 0.803920i | \(0.297256\pi\) | |||||||
\(24\) | 2.31397 | − | 2.97146i | 0.472337 | − | 0.606547i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −10.1932 | −1.99906 | ||||||||
\(27\) | −4.75694 | − | 2.09082i | −0.915473 | − | 0.402379i | ||||
\(28\) | −0.338104 | −0.0638957 | ||||||||
\(29\) | −1.22966 | − | 2.12984i | −0.228342 | − | 0.395501i | 0.728975 | − | 0.684541i | \(-0.239997\pi\) |
−0.957317 | + | 0.289040i | \(0.906664\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.11429 | + | 3.66206i | −0.379738 | + | 0.657725i | −0.991024 | − | 0.133685i | \(-0.957319\pi\) |
0.611286 | + | 0.791409i | \(0.290652\pi\) | |||||||
\(32\) | −1.82044 | + | 3.15309i | −0.321811 | + | 0.557394i | ||||
\(33\) | −5.31863 | − | 0.738871i | −0.925855 | − | 0.128621i | ||||
\(34\) | 4.98302 | + | 8.63085i | 0.854581 | + | 1.48018i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.93115 | + | 0.547115i | 0.321858 | + | 0.0911858i | ||||
\(37\) | −6.72677 | −1.10587 | −0.552937 | − | 0.833223i | \(-0.686493\pi\) | ||||
−0.552937 | + | 0.833223i | \(0.686493\pi\) | |||||||
\(38\) | −4.55010 | − | 7.88101i | −0.738124 | − | 1.27847i | ||||
\(39\) | 4.06419 | + | 10.0134i | 0.650791 | + | 1.60343i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.72092 | − | 4.71278i | 0.424937 | − | 0.736012i | −0.571478 | − | 0.820618i | \(-0.693630\pi\) |
0.996415 | + | 0.0846053i | \(0.0269630\pi\) | |||||||
\(42\) | 0.537785 | + | 1.32500i | 0.0829821 | + | 0.204452i | ||||
\(43\) | 0.663704 | + | 1.14957i | 0.101214 | + | 0.175308i | 0.912185 | − | 0.409779i | \(-0.134394\pi\) |
−0.810971 | + | 0.585086i | \(0.801061\pi\) | |||||||
\(44\) | 2.07420 | 0.312697 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.24997 | −0.921508 | ||||||||
\(47\) | −1.85396 | − | 3.21115i | −0.270428 | − | 0.468395i | 0.698544 | − | 0.715568i | \(-0.253832\pi\) |
−0.968971 | + | 0.247173i | \(0.920499\pi\) | |||||||
\(48\) | 8.38998 | + | 1.16555i | 1.21099 | + | 0.168232i | ||||
\(49\) | 3.37231 | − | 5.84101i | 0.481759 | − | 0.834431i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.49176 | − | 8.33633i | 0.909028 | − | 1.16732i | ||||
\(52\) | −2.08720 | − | 3.61514i | −0.289443 | − | 0.501329i | ||||
\(53\) | −2.54205 | −0.349177 | −0.174589 | − | 0.984641i | \(-0.555860\pi\) | ||||
−0.174589 | + | 0.984641i | \(0.555860\pi\) | |||||||
\(54\) | −0.927572 | − | 8.43825i | −0.126227 | − | 1.14830i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.549415 | + | 0.951614i | 0.0734187 | + | 0.127165i | ||||
\(57\) | −5.92776 | + | 7.61208i | −0.785151 | + | 1.00824i | ||||
\(58\) | 2.00893 | − | 3.47956i | 0.263785 | − | 0.456889i | ||||
\(59\) | −1.44116 | + | 2.49616i | −0.187623 | + | 0.324973i | −0.944457 | − | 0.328634i | \(-0.893412\pi\) |
0.756834 | + | 0.653607i | \(0.226745\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.42173 | + | 2.46250i | 0.182033 | + | 0.315291i | 0.942573 | − | 0.334001i | \(-0.108399\pi\) |
−0.760539 | + | 0.649292i | \(0.775065\pi\) | |||||||
\(62\) | −6.90833 | −0.877358 | ||||||||
\(63\) | 1.08720 | − | 1.05659i | 0.136974 | − | 0.133118i | ||||
\(64\) | 3.83276 | 0.479095 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.29920 | − | 8.12860i | −0.406103 | − | 1.00056i | ||||
\(67\) | 1.20326 | − | 2.08411i | 0.147002 | − | 0.254614i | −0.783116 | − | 0.621875i | \(-0.786371\pi\) |
0.930118 | + | 0.367261i | \(0.119704\pi\) | |||||||
\(68\) | −2.04068 | + | 3.53456i | −0.247468 | + | 0.428628i | ||||
\(69\) | 2.49195 | + | 6.13969i | 0.299995 | + | 0.739132i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.54205 | 0.657720 | 0.328860 | − | 0.944379i | \(-0.393336\pi\) | ||||
0.328860 | + | 0.944379i | \(0.393336\pi\) | |||||||
\(72\) | −1.59821 | − | 6.32439i | −0.188350 | − | 0.745336i | ||||
\(73\) | 11.7988 | 1.38095 | 0.690473 | − | 0.723359i | \(-0.257403\pi\) | ||||
0.690473 | + | 0.723359i | \(0.257403\pi\) | |||||||
\(74\) | −5.49484 | − | 9.51734i | −0.638762 | − | 1.10637i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.86338 | − | 3.22748i | 0.213745 | − | 0.370217i | ||||
\(77\) | 0.783341 | − | 1.35679i | 0.0892700 | − | 0.154620i | ||||
\(78\) | −10.8475 | + | 13.9298i | −1.22824 | + | 1.57723i | ||||
\(79\) | −1.70149 | − | 2.94707i | −0.191433 | − | 0.331571i | 0.754293 | − | 0.656538i | \(-0.227980\pi\) |
−0.945725 | + | 0.324967i | \(0.894647\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.91952 | + | 4.27565i | −0.879947 | + | 0.475072i | ||||
\(82\) | 8.89047 | 0.981789 | ||||||||
\(83\) | −6.95059 | − | 12.0388i | −0.762926 | − | 1.32143i | −0.941336 | − | 0.337470i | \(-0.890429\pi\) |
0.178410 | − | 0.983956i | \(-0.442905\pi\) | |||||||
\(84\) | −0.359807 | + | 0.462042i | −0.0392581 | + | 0.0504129i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.08431 | + | 1.87808i | −0.116924 | + | 0.202518i | ||||
\(87\) | −4.21915 | − | 0.586130i | −0.452341 | − | 0.0628398i | ||||
\(88\) | −3.37054 | − | 5.83795i | −0.359301 | − | 0.622327i | ||||
\(89\) | 3.38513 | 0.358823 | 0.179411 | − | 0.983774i | \(-0.442581\pi\) | ||||
0.179411 | + | 0.983774i | \(0.442581\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.15301 | −0.330525 | ||||||||
\(92\) | −1.27976 | − | 2.21661i | −0.133425 | − | 0.231098i | ||||
\(93\) | 2.75444 | + | 6.78643i | 0.285623 | + | 0.703720i | ||||
\(94\) | 3.02886 | − | 5.24614i | 0.312403 | − | 0.541098i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.37162 | + | 5.84324i | 0.242053 | + | 0.596373i | ||||
\(97\) | 5.53779 | + | 9.59173i | 0.562277 | + | 0.973892i | 0.997297 | + | 0.0734716i | \(0.0234078\pi\) |
−0.435020 | + | 0.900421i | \(0.643259\pi\) | |||||||
\(98\) | 11.0188 | 1.11307 | ||||||||
\(99\) | −6.66974 | + | 6.48197i | −0.670334 | + | 0.651462i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.68451 | + | 15.0420i | 0.864141 | + | 1.49674i | 0.867897 | + | 0.496744i | \(0.165471\pi\) |
−0.00375621 | + | 0.999993i | \(0.501196\pi\) | |||||||
\(102\) | 17.0975 | + | 2.37521i | 1.69290 | + | 0.235181i | ||||
\(103\) | 0.416378 | − | 0.721188i | 0.0410269 | − | 0.0710608i | −0.844783 | − | 0.535109i | \(-0.820270\pi\) |
0.885810 | + | 0.464049i | \(0.153604\pi\) | |||||||
\(104\) | −6.78334 | + | 11.7491i | −0.665161 | + | 1.15209i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.07650 | − | 3.59661i | −0.201688 | − | 0.349334i | ||||
\(107\) | 11.0684 | 1.07002 | 0.535012 | − | 0.844844i | \(-0.320307\pi\) | ||||
0.535012 | + | 0.844844i | \(0.320307\pi\) | |||||||
\(108\) | 2.80278 | − | 2.05681i | 0.269697 | − | 0.197917i | ||||
\(109\) | −4.65836 | −0.446190 | −0.223095 | − | 0.974797i | \(-0.571616\pi\) | ||||
−0.223095 | + | 0.974797i | \(0.571616\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.15854 | + | 9.19258i | −0.679459 | + | 0.872521i | ||||
\(112\) | −1.23570 | + | 2.14029i | −0.116762 | + | 0.202238i | ||||
\(113\) | −5.99711 | + | 10.3873i | −0.564160 | + | 0.977155i | 0.432967 | + | 0.901410i | \(0.357467\pi\) |
−0.997127 | + | 0.0757447i | \(0.975867\pi\) | |||||||
\(114\) | −15.6121 | − | 2.16885i | −1.46221 | − | 0.203132i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.64542 | 0.152773 | ||||||||
\(117\) | 18.0090 | + | 5.10214i | 1.66494 | + | 0.471693i | ||||
\(118\) | −4.70892 | −0.433491 | ||||||||
\(119\) | 1.54136 | + | 2.66972i | 0.141297 | + | 0.244733i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.694371 | − | 1.20269i | 0.0631246 | − | 0.109335i | ||||
\(122\) | −2.32271 | + | 4.02305i | −0.210288 | + | 0.364230i | ||||
\(123\) | −3.54475 | − | 8.73360i | −0.319620 | − | 0.787483i | ||||
\(124\) | −1.41457 | − | 2.45011i | −0.127032 | − | 0.220026i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 2.38301 | + | 0.675131i | 0.212295 | + | 0.0601454i | ||||
\(127\) | −3.22858 | −0.286490 | −0.143245 | − | 0.989687i | \(-0.545754\pi\) | ||||
−0.143245 | + | 0.989687i | \(0.545754\pi\) | |||||||
\(128\) | 6.77171 | + | 11.7289i | 0.598540 | + | 1.03670i | ||||
\(129\) | 2.27727 | + | 0.316361i | 0.200502 | + | 0.0278540i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.69256 | − | 8.12776i | 0.409991 | − | 0.710125i | −0.584897 | − | 0.811107i | \(-0.698865\pi\) |
0.994888 | + | 0.100982i | \(0.0321985\pi\) | |||||||
\(132\) | 2.20734 | − | 2.83453i | 0.192124 | − | 0.246714i | ||||
\(133\) | −1.40745 | − | 2.43778i | −0.122042 | − | 0.211382i | ||||
\(134\) | 3.93159 | 0.339637 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.2643 | 1.13740 | ||||||||
\(137\) | −1.15478 | − | 2.00013i | −0.0986593 | − | 0.170883i | 0.812471 | − | 0.583002i | \(-0.198122\pi\) |
−0.911130 | + | 0.412119i | \(0.864789\pi\) | |||||||
\(138\) | −6.65114 | + | 8.54100i | −0.566183 | + | 0.727059i | ||||
\(139\) | −5.44701 | + | 9.43449i | −0.462009 | + | 0.800223i | −0.999061 | − | 0.0433260i | \(-0.986205\pi\) |
0.537052 | + | 0.843549i | \(0.319538\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.36122 | − | 0.883709i | −0.535711 | − | 0.0744217i | ||||
\(142\) | 4.52709 | + | 7.84115i | 0.379905 | + | 0.658014i | ||||
\(143\) | 19.3430 | 1.61754 | ||||||||
\(144\) | 10.5213 | − | 10.2251i | 0.876775 | − | 0.852092i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 9.63799 | + | 16.6935i | 0.797646 | + | 1.38156i | ||||
\(147\) | −4.39337 | − | 10.8244i | −0.362359 | − | 0.892783i | ||||
\(148\) | 2.25028 | − | 3.89760i | 0.184972 | − | 0.320381i | ||||
\(149\) | 8.17151 | − | 14.1535i | 0.669436 | − | 1.15950i | −0.308626 | − | 0.951183i | \(-0.599869\pi\) |
0.978062 | − | 0.208314i | \(-0.0667975\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.3913 | − | 19.7304i | −0.927015 | − | 1.60564i | −0.788288 | − | 0.615306i | \(-0.789032\pi\) |
−0.138727 | − | 0.990331i | \(-0.544301\pi\) | |||||||
\(152\) | −12.1119 | −0.982404 | ||||||||
\(153\) | −4.48371 | − | 17.7428i | −0.362486 | − | 1.43442i | ||||
\(154\) | 2.55953 | 0.206252 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −7.16150 | − | 0.994885i | −0.573379 | − | 0.0796545i | ||||
\(157\) | −6.23035 | + | 10.7913i | −0.497236 | + | 0.861238i | −0.999995 | − | 0.00318877i | \(-0.998985\pi\) |
0.502759 | + | 0.864427i | \(0.332318\pi\) | |||||||
\(158\) | 2.77976 | − | 4.81469i | 0.221146 | − | 0.383036i | ||||
\(159\) | −2.70522 | + | 3.47388i | −0.214538 | + | 0.275497i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.93326 | −0.152362 | ||||||||
\(162\) | −12.5185 | − | 7.71229i | −0.983549 | − | 0.605935i | ||||
\(163\) | −7.57384 | −0.593229 | −0.296614 | − | 0.954997i | \(-0.595858\pi\) | ||||
−0.296614 | + | 0.954997i | \(0.595858\pi\) | |||||||
\(164\) | 1.82044 | + | 3.15309i | 0.142152 | + | 0.246215i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.3553 | − | 19.6680i | 0.881345 | − | 1.52653i | ||||
\(167\) | 1.48837 | − | 2.57793i | 0.115174 | − | 0.199486i | −0.802676 | − | 0.596416i | \(-0.796591\pi\) |
0.917849 | + | 0.396929i | \(0.129924\pi\) | |||||||
\(168\) | 1.88513 | + | 0.261884i | 0.145441 | + | 0.0202048i | ||||
\(169\) | −12.9643 | − | 22.4548i | −0.997252 | − | 1.72729i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.09417 | + | 16.2014i | 0.313089 | + | 1.23895i | ||||
\(172\) | −0.888105 | −0.0677174 | ||||||||
\(173\) | 7.92649 | + | 13.7291i | 0.602640 | + | 1.04380i | 0.992420 | + | 0.122895i | \(0.0392177\pi\) |
−0.389780 | + | 0.920908i | \(0.627449\pi\) | |||||||
\(174\) | −2.61718 | − | 6.44824i | −0.198408 | − | 0.488840i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 7.58073 | − | 13.1302i | 0.571419 | − | 0.989727i | ||||
\(177\) | 1.87751 | + | 4.62583i | 0.141122 | + | 0.347699i | ||||
\(178\) | 2.76518 | + | 4.78943i | 0.207259 | + | 0.358983i | ||||
\(179\) | 17.0841 | 1.27693 | 0.638463 | − | 0.769653i | \(-0.279571\pi\) | ||||
0.638463 | + | 0.769653i | \(0.279571\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.3690 | 0.993712 | 0.496856 | − | 0.867833i | \(-0.334488\pi\) | ||||
0.496856 | + | 0.867833i | \(0.334488\pi\) | |||||||
\(182\) | −2.57557 | − | 4.46102i | −0.190914 | − | 0.330673i | ||||
\(183\) | 4.87816 | + | 0.677680i | 0.360604 | + | 0.0500956i | ||||
\(184\) | −4.15919 | + | 7.20393i | −0.306620 | + | 0.531081i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −7.35176 | + | 9.44069i | −0.539057 | + | 0.692225i | ||||
\(187\) | −9.45593 | − | 16.3782i | −0.691486 | − | 1.19769i | ||||
\(188\) | 2.48079 | 0.180930 | ||||||||
\(189\) | −0.286920 | − | 2.61014i | −0.0208703 | − | 0.189860i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.6686 | − | 21.9427i | −0.916669 | − | 1.58772i | −0.804439 | − | 0.594035i | \(-0.797534\pi\) |
−0.112230 | − | 0.993682i | \(-0.535799\pi\) | |||||||
\(192\) | 4.07877 | − | 5.23772i | 0.294360 | − | 0.378000i | ||||
\(193\) | 4.77976 | − | 8.27879i | 0.344055 | − | 0.595921i | −0.641127 | − | 0.767435i | \(-0.721533\pi\) |
0.985182 | + | 0.171515i | \(0.0548660\pi\) | |||||||
\(194\) | −9.04721 | + | 15.6702i | −0.649552 | + | 1.12506i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.25625 | + | 3.90794i | 0.161161 | + | 0.279139i | ||||
\(197\) | −2.06841 | −0.147368 | −0.0736842 | − | 0.997282i | \(-0.523476\pi\) | ||||
−0.0736842 | + | 0.997282i | \(0.523476\pi\) | |||||||
\(198\) | −14.6192 | − | 4.14178i | −1.03894 | − | 0.294344i | ||||
\(199\) | 13.0970 | 0.928419 | 0.464210 | − | 0.885725i | \(-0.346338\pi\) | ||||
0.464210 | + | 0.885725i | \(0.346338\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.56758 | − | 3.86221i | −0.110568 | − | 0.272420i | ||||
\(202\) | −14.1881 | + | 24.5745i | −0.998271 | + | 1.72906i | ||||
\(203\) | 0.621407 | − | 1.07631i | 0.0436142 | − | 0.0755421i | ||||
\(204\) | 2.65854 | + | 6.55015i | 0.186135 | + | 0.458602i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.36049 | 0.0947900 | ||||||||
\(207\) | 11.0422 | + | 3.12837i | 0.767486 | + | 0.217437i | ||||
\(208\) | −30.5130 | −2.11570 | ||||||||
\(209\) | 8.63441 | + | 14.9552i | 0.597255 | + | 1.03448i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.55595 | + | 9.62318i | −0.382487 | + | 0.662487i | −0.991417 | − | 0.130737i | \(-0.958266\pi\) |
0.608930 | + | 0.793224i | \(0.291599\pi\) | |||||||
\(212\) | 0.850382 | − | 1.47291i | 0.0584045 | − | 0.101160i | ||||
\(213\) | 5.89778 | − | 7.57358i | 0.404109 | − | 0.518933i | ||||
\(214\) | 9.04136 | + | 15.6601i | 0.618055 | + | 1.07050i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −10.3435 | − | 4.54628i | −0.703785 | − | 0.309335i | ||||
\(217\) | −2.13690 | −0.145063 | ||||||||
\(218\) | −3.80523 | − | 6.59086i | −0.257723 | − | 0.446389i | ||||
\(219\) | 12.5561 | − | 16.1238i | 0.848465 | − | 1.08955i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −19.0304 | + | 32.9617i | −1.28012 | + | 2.21724i | ||||
\(222\) | −18.8536 | − | 2.61917i | −1.26537 | − | 0.175787i | ||||
\(223\) | 1.94701 | + | 3.37231i | 0.130381 | + | 0.225827i | 0.923824 | − | 0.382819i | \(-0.125047\pi\) |
−0.793442 | + | 0.608645i | \(0.791713\pi\) | |||||||
\(224\) | −1.83991 | −0.122934 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −19.5952 | −1.30346 | ||||||||
\(227\) | −6.40406 | − | 11.0922i | −0.425053 | − | 0.736213i | 0.571373 | − | 0.820691i | \(-0.306411\pi\) |
−0.996425 | + | 0.0844781i | \(0.973078\pi\) | |||||||
\(228\) | −2.42757 | − | 5.98108i | −0.160770 | − | 0.396107i | ||||
\(229\) | −3.32647 | + | 5.76162i | −0.219820 | + | 0.380739i | −0.954753 | − | 0.297401i | \(-0.903880\pi\) |
0.734933 | + | 0.678140i | \(0.237214\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.02052 | − | 2.51436i | −0.0671451 | − | 0.165433i | ||||
\(232\) | −2.67378 | − | 4.63112i | −0.175542 | − | 0.304048i | ||||
\(233\) | −3.65836 | −0.239667 | −0.119833 | − | 0.992794i | \(-0.538236\pi\) | ||||
−0.119833 | + | 0.992794i | \(0.538236\pi\) | |||||||
\(234\) | 7.49214 | + | 29.6477i | 0.489776 | + | 1.93813i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.964212 | − | 1.67006i | −0.0627648 | − | 0.108712i | ||||
\(237\) | −5.83807 | − | 0.811032i | −0.379223 | − | 0.0526822i | ||||
\(238\) | −2.51816 | + | 4.36158i | −0.163228 | + | 0.282720i | ||||
\(239\) | 7.84576 | − | 13.5893i | 0.507500 | − | 0.879016i | −0.492462 | − | 0.870334i | \(-0.663903\pi\) |
0.999962 | − | 0.00868195i | \(-0.00276358\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.61248 | − | 9.72110i | −0.361532 | − | 0.626191i | 0.626681 | − | 0.779276i | \(-0.284413\pi\) |
−0.988213 | + | 0.153084i | \(0.951079\pi\) | |||||||
\(242\) | 2.26882 | 0.145845 | ||||||||
\(243\) | −2.58489 | + | 15.3726i | −0.165821 | + | 0.986156i | ||||
\(244\) | −1.90242 | −0.121790 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.46113 | − | 12.1494i | 0.603220 | − | 0.774619i | ||||
\(247\) | 17.3771 | − | 30.0980i | 1.10568 | − | 1.91509i | ||||
\(248\) | −4.59731 | + | 7.96278i | −0.291930 | + | 0.505637i | ||||
\(249\) | −23.8485 | − | 3.31307i | −1.51134 | − | 0.209957i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.94042 | 0.438075 | 0.219038 | − | 0.975716i | \(-0.429708\pi\) | ||||
0.219038 | + | 0.975716i | \(0.429708\pi\) | |||||||
\(252\) | 0.248510 | + | 0.983399i | 0.0156547 | + | 0.0619483i | ||||
\(253\) | 11.8601 | 0.745640 | ||||||||
\(254\) | −2.63730 | − | 4.56794i | −0.165479 | − | 0.286618i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.23035 | + | 12.5233i | −0.451897 | + | 0.782708i | ||||
\(257\) | −9.16635 | + | 15.8766i | −0.571781 | + | 0.990354i | 0.424602 | + | 0.905380i | \(0.360414\pi\) |
−0.996383 | + | 0.0849739i | \(0.972919\pi\) | |||||||
\(258\) | 1.41261 | + | 3.48041i | 0.0879453 | + | 0.216681i | ||||
\(259\) | −1.69968 | − | 2.94393i | −0.105613 | − | 0.182927i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.29096 | + | 5.14200i | −0.327502 | + | 0.318282i | ||||
\(262\) | 15.3327 | 0.947257 | ||||||||
\(263\) | −8.03832 | − | 13.9228i | −0.495664 | − | 0.858515i | 0.504323 | − | 0.863515i | \(-0.331742\pi\) |
−0.999988 | + | 0.00499942i | \(0.998409\pi\) | |||||||
\(264\) | −11.5648 | − | 1.60660i | −0.711766 | − | 0.0988795i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.29939 | − | 3.98265i | 0.140984 | − | 0.244192i | ||||
\(267\) | 3.60241 | − | 4.62600i | 0.220464 | − | 0.283107i | ||||
\(268\) | 0.805043 | + | 1.39438i | 0.0491758 | + | 0.0851751i | ||||
\(269\) | −18.2004 | −1.10970 | −0.554849 | − | 0.831951i | \(-0.687224\pi\) | ||||
−0.554849 | + | 0.831951i | \(0.687224\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.48571 | −0.150996 | −0.0754979 | − | 0.997146i | \(-0.524055\pi\) | ||||
−0.0754979 | + | 0.997146i | \(0.524055\pi\) | |||||||
\(272\) | 14.9164 | + | 25.8360i | 0.904442 | + | 1.56654i | ||||
\(273\) | −3.35539 | + | 4.30879i | −0.203077 | + | 0.260780i | ||||
\(274\) | 1.88659 | − | 3.26766i | 0.113973 | − | 0.197407i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −4.39106 | − | 0.610012i | −0.264311 | − | 0.0367184i | ||||
\(277\) | −3.83363 | − | 6.64004i | −0.230341 | − | 0.398962i | 0.727568 | − | 0.686036i | \(-0.240651\pi\) |
−0.957908 | + | 0.287074i | \(0.907317\pi\) | |||||||
\(278\) | −17.7978 | −1.06744 | ||||||||
\(279\) | 12.2054 | + | 3.45790i | 0.730716 | + | 0.207019i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.136615 | − | 0.236624i | −0.00814978 | − | 0.0141158i | 0.861922 | − | 0.507041i | \(-0.169261\pi\) |
−0.870072 | + | 0.492925i | \(0.835928\pi\) | |||||||
\(282\) | −3.94592 | − | 9.72201i | −0.234976 | − | 0.578937i | ||||
\(283\) | −1.68544 | + | 2.91928i | −0.100189 | + | 0.173533i | −0.911763 | − | 0.410718i | \(-0.865278\pi\) |
0.811573 | + | 0.584251i | \(0.198611\pi\) | |||||||
\(284\) | −1.85396 | + | 3.21115i | −0.110012 | + | 0.190547i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.8006 | + | 27.3674i | 0.934307 | + | 1.61827i | ||||
\(287\) | 2.75003 | 0.162329 | ||||||||
\(288\) | 10.5090 | + | 2.97732i | 0.619250 | + | 0.175440i | ||||
\(289\) | 20.2125 | 1.18897 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 19.0010 | + | 2.63964i | 1.11386 | + | 0.154739i | ||||
\(292\) | −3.94701 | + | 6.83642i | −0.230981 | + | 0.400071i | ||||
\(293\) | 2.82202 | − | 4.88788i | 0.164864 | − | 0.285553i | −0.771743 | − | 0.635935i | \(-0.780615\pi\) |
0.936607 | + | 0.350382i | \(0.113948\pi\) | |||||||
\(294\) | 11.7261 | − | 15.0580i | 0.683881 | − | 0.878200i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −14.6267 | −0.850159 | ||||||||
\(297\) | 1.76019 | + | 16.0127i | 0.102137 | + | 0.929150i | ||||
\(298\) | 26.7000 | 1.54669 | ||||||||
\(299\) | −11.9345 | − | 20.6711i | −0.690189 | − | 1.19544i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.335402 | + | 0.580933i | −0.0193322 | + | 0.0334844i | ||||
\(302\) | 18.6103 | − | 32.2340i | 1.07090 | − | 1.85486i | ||||
\(303\) | 29.7979 | + | 4.13956i | 1.71184 | + | 0.237811i | ||||
\(304\) | −13.6205 | − | 23.5914i | −0.781190 | − | 1.35306i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 21.4408 | − | 20.8372i | 1.22569 | − | 1.19118i | ||||
\(307\) | 5.44105 | 0.310537 | 0.155269 | − | 0.987872i | \(-0.450376\pi\) | ||||
0.155269 | + | 0.987872i | \(0.450376\pi\) | |||||||
\(308\) | 0.524096 | + | 0.907761i | 0.0298632 | + | 0.0517245i | ||||
\(309\) | −0.542447 | − | 1.33649i | −0.0308587 | − | 0.0760301i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.53985 | − | 16.5235i | 0.540955 | − | 0.936962i | −0.457895 | − | 0.889007i | \(-0.651396\pi\) |
0.998849 | − | 0.0479550i | \(-0.0152704\pi\) | |||||||
\(312\) | 8.83717 | + | 21.7731i | 0.500306 | + | 1.23266i | ||||
\(313\) | 4.57116 | + | 7.91747i | 0.258377 | + | 0.447522i | 0.965807 | − | 0.259261i | \(-0.0834790\pi\) |
−0.707430 | + | 0.706783i | \(0.750146\pi\) | |||||||
\(314\) | −20.3573 | −1.14883 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.27677 | 0.128078 | ||||||||
\(317\) | −7.11836 | − | 12.3294i | −0.399807 | − | 0.692486i | 0.593895 | − | 0.804543i | \(-0.297590\pi\) |
−0.993702 | + | 0.112056i | \(0.964256\pi\) | |||||||
\(318\) | −7.12480 | − | 0.989786i | −0.399539 | − | 0.0555045i | ||||
\(319\) | −3.81220 | + | 6.60292i | −0.213442 | + | 0.369693i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.7789 | − | 15.1257i | 0.657432 | − | 0.844236i | ||||
\(322\) | −1.57921 | − | 2.73527i | −0.0880057 | − | 0.152430i | ||||
\(323\) | −33.9795 | −1.89067 | ||||||||
\(324\) | 0.171906 | − | 6.01902i | 0.00955032 | − | 0.334390i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.18678 | − | 10.7158i | −0.342654 | − | 0.593494i | ||||
\(327\) | −4.95736 | + | 6.36595i | −0.274143 | + | 0.352038i | ||||
\(328\) | 5.91638 | − | 10.2475i | 0.326677 | − | 0.565822i | ||||
\(329\) | 0.936896 | − | 1.62275i | 0.0516527 | − | 0.0894652i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.10001 | + | 10.5655i | 0.335287 | + | 0.580734i | 0.983540 | − | 0.180691i | \(-0.0578334\pi\) |
−0.648253 | + | 0.761425i | \(0.724500\pi\) | |||||||
\(332\) | 9.30061 | 0.510437 | ||||||||
\(333\) | 4.94424 | + | 19.5653i | 0.270943 | + | 1.07217i | ||||
\(334\) | 4.86317 | 0.266101 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.60984 | + | 3.96633i | 0.0878237 | + | 0.216381i | ||||
\(337\) | −2.29493 | + | 3.97494i | −0.125013 | + | 0.216529i | −0.921738 | − | 0.387813i | \(-0.873231\pi\) |
0.796725 | + | 0.604342i | \(0.206564\pi\) | |||||||
\(338\) | 21.1800 | − | 36.6849i | 1.15204 | − | 1.99540i | ||||
\(339\) | 7.81289 | + | 19.2495i | 0.424338 | + | 1.04549i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.1094 | 0.709917 | ||||||||
\(342\) | −19.5781 | + | 19.0269i | −1.05866 | + | 1.02886i | ||||
\(343\) | 6.94582 | 0.375039 | ||||||||
\(344\) | 1.44316 | + | 2.49962i | 0.0778099 | + | 0.134771i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.9497 | + | 22.4295i | −0.696180 | + | 1.20582i | ||||
\(347\) | −16.7301 | + | 28.9775i | −0.898121 | + | 1.55559i | −0.0682272 | + | 0.997670i | \(0.521734\pi\) |
−0.829894 | + | 0.557921i | \(0.811599\pi\) | |||||||
\(348\) | 1.75103 | − | 2.24857i | 0.0938651 | − | 0.120536i | ||||
\(349\) | 14.0408 | + | 24.3193i | 0.751586 | + | 1.30178i | 0.947054 | + | 0.321074i | \(0.104044\pi\) |
−0.195468 | + | 0.980710i | \(0.562623\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 26.1374 | − | 19.1809i | 1.39511 | − | 1.02380i | ||||
\(352\) | 11.2875 | 0.601624 | ||||||||
\(353\) | 0.920851 | + | 1.59496i | 0.0490119 | + | 0.0848912i | 0.889491 | − | 0.456954i | \(-0.151059\pi\) |
−0.840479 | + | 0.541845i | \(0.817726\pi\) | |||||||
\(354\) | −5.01117 | + | 6.43505i | −0.266341 | + | 0.342019i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.13241 | + | 1.96140i | −0.0600178 | + | 0.103954i | ||||
\(357\) | 5.28865 | + | 0.734707i | 0.279905 | + | 0.0388848i | ||||
\(358\) | 13.9553 | + | 24.1714i | 0.737563 | + | 1.27750i | ||||
\(359\) | −12.1119 | −0.639241 | −0.319621 | − | 0.947546i | \(-0.603555\pi\) | ||||
−0.319621 | + | 0.947546i | \(0.603555\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.0274 | 0.633020 | ||||||||
\(362\) | 10.9206 | + | 18.9151i | 0.573976 | + | 0.994156i | ||||
\(363\) | −0.904610 | − | 2.22879i | −0.0474797 | − | 0.116981i | ||||
\(364\) | 1.05476 | − | 1.82690i | 0.0552846 | − | 0.0957558i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.02597 | + | 7.45541i | 0.158170 | + | 0.389701i | ||||
\(367\) | 7.28688 | + | 12.6212i | 0.380372 | + | 0.658824i | 0.991115 | − | 0.133005i | \(-0.0424626\pi\) |
−0.610743 | + | 0.791829i | \(0.709129\pi\) | |||||||
\(368\) | −18.7090 | −0.975274 | ||||||||
\(369\) | −15.7073 | − | 4.45005i | −0.817691 | − | 0.231660i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.642310 | − | 1.11251i | −0.0333471 | − | 0.0577589i | ||||
\(372\) | −4.85360 | − | 0.674269i | −0.251648 | − | 0.0349592i | ||||
\(373\) | 4.72323 | − | 8.18087i | 0.244560 | − | 0.423590i | −0.717448 | − | 0.696612i | \(-0.754690\pi\) |
0.962008 | + | 0.273022i | \(0.0880233\pi\) | |||||||
\(374\) | 15.4484 | − | 26.7574i | 0.798817 | − | 1.38359i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.03125 | − | 6.98233i | −0.207896 | − | 0.360086i | ||||
\(377\) | 15.3444 | 0.790276 | ||||||||
\(378\) | 3.45858 | − | 2.53807i | 0.177890 | − | 0.130544i | ||||
\(379\) | −28.5541 | −1.46673 | −0.733363 | − | 0.679837i | \(-0.762051\pi\) | ||||
−0.733363 | + | 0.679837i | \(0.762051\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.43581 | + | 4.41207i | −0.176022 | + | 0.226037i | ||||
\(382\) | 20.6970 | − | 35.8483i | 1.05895 | − | 1.83416i | ||||
\(383\) | −0.732704 | + | 1.26908i | −0.0374394 | + | 0.0648470i | −0.884138 | − | 0.467226i | \(-0.845253\pi\) |
0.846699 | + | 0.532073i | \(0.178587\pi\) | |||||||
\(384\) | 23.2348 | + | 3.22780i | 1.18569 | + | 0.164718i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 15.6176 | 0.794916 | ||||||||
\(387\) | 2.85577 | − | 2.77537i | 0.145167 | − | 0.141080i | ||||
\(388\) | −7.41014 | −0.376193 | ||||||||
\(389\) | 6.45506 | + | 11.1805i | 0.327284 | + | 0.566873i | 0.981972 | − | 0.189026i | \(-0.0605331\pi\) |
−0.654688 | + | 0.755900i | \(0.727200\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.6685 | + | 20.2104i | −0.590100 | + | 1.02208i | ||||
\(392\) | 7.33276 | − | 12.7007i | 0.370360 | − | 0.641483i | ||||
\(393\) | −6.11336 | − | 15.0622i | −0.308378 | − | 0.759785i | ||||
\(394\) | −1.68961 | − | 2.92649i | −0.0851212 | − | 0.147434i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.52456 | − | 6.03294i | −0.0766118 | − | 0.303167i | ||||
\(397\) | −0.868386 | −0.0435831 | −0.0217915 | − | 0.999763i | \(-0.506937\pi\) | ||||
−0.0217915 | + | 0.999763i | \(0.506937\pi\) | |||||||
\(398\) | 10.6984 | + | 18.5302i | 0.536263 | + | 0.928834i | ||||
\(399\) | −4.82918 | − | 0.670876i | −0.241761 | − | 0.0335858i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −16.7063 | + | 28.9361i | −0.834270 | + | 1.44500i | 0.0603527 | + | 0.998177i | \(0.480777\pi\) |
−0.894623 | + | 0.446822i | \(0.852556\pi\) | |||||||
\(402\) | 4.18394 | − | 5.37277i | 0.208676 | − | 0.267970i | ||||
\(403\) | −13.1916 | − | 22.8486i | −0.657122 | − | 1.13817i | ||||
\(404\) | −11.6208 | −0.578156 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.03042 | 0.100768 | ||||||||
\(407\) | 10.4272 | + | 18.0604i | 0.516856 | + | 0.895221i | ||||
\(408\) | 14.1157 | − | 18.1265i | 0.698831 | − | 0.897397i | ||||
\(409\) | −2.52767 | + | 4.37806i | −0.124985 | + | 0.216481i | −0.921727 | − | 0.387839i | \(-0.873222\pi\) |
0.796742 | + | 0.604320i | \(0.206555\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.96221 | − | 0.550436i | −0.195442 | − | 0.0271510i | ||||
\(412\) | 0.278579 | + | 0.482512i | 0.0137246 | + | 0.0237717i | ||||
\(413\) | −1.45658 | −0.0716734 | ||||||||
\(414\) | 4.59379 | + | 18.1785i | 0.225772 | + | 0.893423i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −11.3582 | − | 19.6730i | −0.556883 | − | 0.964549i | ||||
\(417\) | 7.09623 | + | 17.4838i | 0.347504 | + | 0.856184i | ||||
\(418\) | −14.1062 | + | 24.4327i | −0.689959 | + | 1.19504i | ||||
\(419\) | −5.47880 | + | 9.48955i | −0.267657 | + | 0.463595i | −0.968256 | − | 0.249960i | \(-0.919583\pi\) |
0.700600 | + | 0.713555i | \(0.252916\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.31932 | + | 9.21333i | 0.259248 | + | 0.449030i | 0.966041 | − | 0.258390i | \(-0.0831921\pi\) |
−0.706793 | + | 0.707421i | \(0.749859\pi\) | |||||||
\(422\) | −18.1538 | −0.883711 | ||||||||
\(423\) | −7.97718 | + | 7.75260i | −0.387864 | + | 0.376944i | ||||
\(424\) | −5.52744 | −0.268436 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 15.5331 | + | 2.15788i | 0.752582 | + | 0.104550i | ||||
\(427\) | −0.718467 | + | 1.24442i | −0.0347691 | + | 0.0602218i | ||||
\(428\) | −3.70267 | + | 6.41322i | −0.178975 | + | 0.309995i | ||||
\(429\) | 20.5846 | − | 26.4335i | 0.993834 | − | 1.27622i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −37.3529 | −1.79923 | −0.899613 | − | 0.436687i | \(-0.856152\pi\) | ||||
−0.899613 | + | 0.436687i | \(0.856152\pi\) | |||||||
\(432\) | −2.77664 | − | 25.2595i | −0.133591 | − | 1.21530i | ||||
\(433\) | −17.2125 | −0.827179 | −0.413589 | − | 0.910464i | \(-0.635725\pi\) | ||||
−0.413589 | + | 0.910464i | \(0.635725\pi\) | |||||||
\(434\) | −1.74556 | − | 3.02339i | −0.0837894 | − | 0.145127i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.55834 | − | 2.69913i | 0.0746310 | − | 0.129265i | ||||
\(437\) | 10.6547 | − | 18.4545i | 0.509684 | − | 0.882799i | ||||
\(438\) | 33.0694 | + | 4.59404i | 1.58012 | + | 0.219512i | ||||
\(439\) | 15.8744 | + | 27.4952i | 0.757642 | + | 1.31228i | 0.944050 | + | 0.329803i | \(0.106982\pi\) |
−0.186408 | + | 0.982473i | \(0.559684\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −19.4677 | − | 5.51539i | −0.927032 | − | 0.262638i | ||||
\(442\) | −62.1809 | −2.95764 | ||||||||
\(443\) | 0.177979 | + | 0.308268i | 0.00845603 | + | 0.0146463i | 0.870222 | − | 0.492659i | \(-0.163975\pi\) |
−0.861766 | + | 0.507305i | \(0.830642\pi\) | |||||||
\(444\) | −2.93161 | − | 7.22293i | −0.139128 | − | 0.342785i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.18087 | + | 5.50943i | −0.150619 | + | 0.260879i | ||||
\(447\) | −10.6456 | − | 26.2289i | −0.503522 | − | 1.24058i | ||||
\(448\) | 0.968438 | + | 1.67738i | 0.0457544 | + | 0.0792490i | ||||
\(449\) | −7.85632 | −0.370762 | −0.185381 | − | 0.982667i | \(-0.559352\pi\) | ||||
−0.185381 | + | 0.982667i | \(0.559352\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.8708 | −0.794416 | ||||||||
\(452\) | −4.01238 | − | 6.94964i | −0.188726 | − | 0.326884i | ||||
\(453\) | −39.0854 | − | 5.42980i | −1.83639 | − | 0.255114i | ||||
\(454\) | 10.4625 | − | 18.1215i | 0.491028 | − | 0.850485i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −12.8893 | + | 16.5517i | −0.603598 | + | 0.775105i | ||||
\(457\) | −10.7455 | − | 18.6118i | −0.502654 | − | 0.870622i | −0.999995 | − | 0.00306742i | \(-0.999024\pi\) |
0.497341 | − | 0.867555i | \(-0.334310\pi\) | |||||||
\(458\) | −10.8691 | −0.507879 | ||||||||
\(459\) | −29.0183 | − | 12.7544i | −1.35446 | − | 0.595326i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −20.4964 | − | 35.5007i | −0.954611 | − | 1.65343i | −0.735256 | − | 0.677789i | \(-0.762938\pi\) |
−0.219355 | − | 0.975645i | \(-0.570395\pi\) | |||||||
\(462\) | 2.72382 | − | 3.49776i | 0.126723 | − | 0.162731i | ||||
\(463\) | −21.0669 | + | 36.4890i | −0.979063 | + | 1.69579i | −0.313248 | + | 0.949671i | \(0.601417\pi\) |
−0.665816 | + | 0.746116i | \(0.731916\pi\) | |||||||
\(464\) | 6.01363 | − | 10.4159i | 0.279176 | − | 0.483546i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.98837 | − | 5.17601i | −0.138434 | − | 0.239774i | ||||
\(467\) | −22.5376 | −1.04292 | −0.521459 | − | 0.853276i | \(-0.674612\pi\) | ||||
−0.521459 | + | 0.853276i | \(0.674612\pi\) | |||||||
\(468\) | −8.98075 | + | 8.72792i | −0.415136 | + | 0.403448i | ||||
\(469\) | 1.21613 | 0.0561557 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.11675 | + | 19.9981i | 0.374000 | + | 0.921465i | ||||
\(472\) | −3.13366 | + | 5.42766i | −0.144238 | + | 0.249828i | ||||
\(473\) | 2.05762 | − | 3.56390i | 0.0946093 | − | 0.163868i | ||||
\(474\) | −3.62141 | − | 8.92247i | −0.166337 | − | 0.409822i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −2.06251 | −0.0945348 | ||||||||
\(477\) | 1.86843 | + | 7.39372i | 0.0855496 | + | 0.338535i | ||||
\(478\) | 25.6356 | 1.17255 | ||||||||
\(479\) | 16.6440 | + | 28.8282i | 0.760483 | + | 1.31720i | 0.942602 | + | 0.333919i | \(0.108371\pi\) |
−0.182119 | + | 0.983277i | \(0.558296\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.9851 | − | 36.3472i | 0.956837 | − | 1.65729i | ||||
\(482\) | 9.16924 | − | 15.8816i | 0.417647 | − | 0.723387i | ||||
\(483\) | −2.05735 | + | 2.64193i | −0.0936127 | + | 0.120212i | ||||
\(484\) | 0.464570 | + | 0.804660i | 0.0211168 | + | 0.0365754i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −23.8614 | + | 8.90010i | −1.08238 | + | 0.403717i | ||||
\(487\) | 23.7703 | 1.07713 | 0.538566 | − | 0.842583i | \(-0.318966\pi\) | ||||
0.538566 | + | 0.842583i | \(0.318966\pi\) | |||||||
\(488\) | 3.09140 | + | 5.35447i | 0.139941 | + | 0.242385i | ||||
\(489\) | −8.05999 | + | 10.3502i | −0.364485 | + | 0.468050i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.30281 | − | 3.98859i | 0.103925 | − | 0.180003i | −0.809374 | − | 0.587294i | \(-0.800193\pi\) |
0.913298 | + | 0.407291i | \(0.133527\pi\) | |||||||
\(492\) | 6.24620 | + | 0.867731i | 0.281601 | + | 0.0391203i | ||||
\(493\) | −7.50118 | − | 12.9924i | −0.337836 | − | 0.585150i | ||||
\(494\) | 56.7787 | 2.55459 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −20.6797 | −0.928548 | ||||||||
\(497\) | 1.40033 | + | 2.42545i | 0.0628135 | + | 0.108796i | ||||
\(498\) | −14.7935 | − | 36.4483i | −0.662910 | − | 1.63329i | ||||
\(499\) | 9.44878 | − | 16.3658i | 0.422985 | − | 0.732632i | −0.573245 | − | 0.819384i | \(-0.694316\pi\) |
0.996230 | + | 0.0867522i | \(0.0276488\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.93901 | − | 4.77736i | −0.0866287 | − | 0.213437i | ||||
\(502\) | 5.66936 | + | 9.81962i | 0.253036 | + | 0.438271i | ||||
\(503\) | 35.7581 | 1.59438 | 0.797188 | − | 0.603731i | \(-0.206320\pi\) | ||||
0.797188 | + | 0.603731i | \(0.206320\pi\) | |||||||
\(504\) | 2.36401 | − | 2.29746i | 0.105301 | − | 0.102337i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.68809 | + | 16.7803i | 0.430688 | + | 0.745974i | ||||
\(507\) | −44.4824 | − | 6.17955i | −1.97553 | − | 0.274444i | ||||
\(508\) | 1.08004 | − | 1.87069i | 0.0479192 | − | 0.0829985i | ||||
\(509\) | −12.2034 | + | 21.1368i | −0.540904 | + | 0.936874i | 0.457948 | + | 0.888979i | \(0.348585\pi\) |
−0.998852 | + | 0.0478949i | \(0.984749\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.98125 | + | 5.16368i | 0.131883 | + | 0.228428i | ||||
\(512\) | 3.46207 | 0.153003 | ||||||||
\(513\) | 26.4972 | + | 11.6463i | 1.16988 | + | 0.514198i | ||||
\(514\) | −29.9506 | −1.32106 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.945110 | + | 1.21365i | −0.0416062 | + | 0.0534282i | ||||
\(517\) | −5.74765 | + | 9.95523i | −0.252782 | + | 0.437830i | ||||
\(518\) | 2.77681 | − | 4.80957i | 0.122006 | − | 0.211321i | ||||
\(519\) | 27.1970 | + | 3.77824i | 1.19381 | + | 0.165846i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 33.3968 | 1.46314 | 0.731571 | − | 0.681766i | \(-0.238788\pi\) | ||||
0.731571 | + | 0.681766i | \(0.238788\pi\) | |||||||
\(522\) | −11.5971 | − | 3.28558i | −0.507592 | − | 0.143806i | ||||
\(523\) | −37.3654 | −1.63388 | −0.816938 | − | 0.576726i | \(-0.804330\pi\) | ||||
−0.816938 | + | 0.576726i | \(0.804330\pi\) | |||||||
\(524\) | 3.13957 | + | 5.43789i | 0.137153 | + | 0.237555i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.1324 | − | 22.7460i | 0.572600 | − | 0.991772i | ||||
\(527\) | −12.8976 | + | 22.3393i | −0.561828 | + | 0.973115i | ||||
\(528\) | −9.87599 | − | 24.3326i | −0.429797 | − | 1.05894i | ||||
\(529\) | 4.18239 | + | 7.24412i | 0.181843 | + | 0.314962i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 8.31953 | + | 2.35701i | 0.361037 | + | 0.102285i | ||||
\(532\) | 1.88332 | 0.0816521 | ||||||||
\(533\) | 16.9766 | + | 29.4043i | 0.735338 | + | 1.27364i | ||||
\(534\) | 9.48775 | + | 1.31805i | 0.410575 | + | 0.0570376i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 2.61637 | − | 4.53168i | 0.113010 | − | 0.195739i | ||||
\(537\) | 18.1807 | − | 23.3466i | 0.784555 | − | 1.00748i | ||||
\(538\) | −14.8672 | − | 25.7508i | −0.640971 | − | 1.11019i | ||||
\(539\) | −20.9097 | −0.900645 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 28.2560 | 1.21482 | 0.607409 | − | 0.794389i | \(-0.292209\pi\) | ||||
0.607409 | + | 0.794389i | \(0.292209\pi\) | |||||||
\(542\) | −2.03048 | − | 3.51689i | −0.0872165 | − | 0.151063i | ||||
\(543\) | 14.2271 | − | 18.2697i | 0.610545 | − | 0.784026i | ||||
\(544\) | −11.1051 | + | 19.2345i | −0.476125 | + | 0.824673i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −8.83717 | − | 1.22767i | −0.378196 | − | 0.0525395i | ||||
\(547\) | 19.2726 | + | 33.3811i | 0.824036 | + | 1.42727i | 0.902654 | + | 0.430368i | \(0.141616\pi\) |
−0.0786172 | + | 0.996905i | \(0.525050\pi\) | |||||||
\(548\) | 1.54521 | 0.0660082 | ||||||||
\(549\) | 6.11737 | − | 5.94515i | 0.261083 | − | 0.253733i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.84949 | + | 11.8637i | 0.291798 | + | 0.505409i | ||||
\(552\) | 5.41850 | + | 13.3502i | 0.230626 | + | 0.568220i | ||||
\(553\) | 0.859845 | − | 1.48929i | 0.0365643 | − | 0.0633313i | ||||
\(554\) | 6.26309 | − | 10.8480i | 0.266093 | − | 0.460887i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.64433 | − | 6.31217i | −0.154554 | − | 0.267696i | ||||
\(557\) | −27.4125 | −1.16151 | −0.580753 | − | 0.814080i | \(-0.697242\pi\) | ||||
−0.580753 | + | 0.814080i | \(0.697242\pi\) | |||||||
\(558\) | 5.07769 | + | 20.0933i | 0.214956 | + | 0.850618i | ||||
\(559\) | −8.28206 | −0.350294 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −32.4447 | − | 4.50727i | −1.36982 | − | 0.190297i | ||||
\(562\) | 0.223191 | − | 0.386579i | 0.00941476 | − | 0.0163068i | ||||
\(563\) | 13.8196 | − | 23.9363i | 0.582427 | − | 1.00879i | −0.412764 | − | 0.910838i | \(-0.635437\pi\) |
0.995191 | − | 0.0979551i | \(-0.0312302\pi\) | |||||||
\(564\) | 2.64003 | − | 3.39017i | 0.111165 | − | 0.142752i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −5.50710 | −0.231481 | ||||||||
\(567\) | −3.87227 | − | 2.38559i | −0.162620 | − | 0.100185i | ||||
\(568\) | 12.0506 | 0.505634 | ||||||||
\(569\) | 7.35807 | + | 12.7446i | 0.308467 | + | 0.534280i | 0.978027 | − | 0.208478i | \(-0.0668509\pi\) |
−0.669561 | + | 0.742757i | \(0.733518\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.1503 | − | 24.5090i | 0.592172 | − | 1.02567i | −0.401768 | − | 0.915742i | \(-0.631604\pi\) |
0.993939 | − | 0.109930i | \(-0.0350627\pi\) | |||||||
\(572\) | −6.47074 | + | 11.2077i | −0.270555 | + | 0.468616i | ||||
\(573\) | −43.4679 | − | 6.03862i | −1.81590 | − | 0.252267i | ||||
\(574\) | 2.24639 | + | 3.89087i | 0.0937626 | + | 0.162402i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.81711 | − | 11.1478i | −0.117380 | − | 0.464493i | ||||
\(577\) | −40.7976 | −1.69843 | −0.849214 | − | 0.528049i | \(-0.822924\pi\) | ||||
−0.849214 | + | 0.528049i | \(0.822924\pi\) | |||||||
\(578\) | 16.5108 | + | 28.5975i | 0.686759 | + | 1.18950i | ||||
\(579\) | −6.22696 | − | 15.3421i | −0.258784 | − | 0.637594i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.51247 | − | 6.08377i | 0.145722 | − | 0.252397i | ||||
\(582\) | 11.7865 | + | 29.0397i | 0.488565 | + | 1.20373i | ||||
\(583\) | 3.94044 | + | 6.82504i | 0.163196 | + | 0.282664i | ||||
\(584\) | 25.6553 | 1.06162 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.22080 | 0.380908 | ||||||||
\(587\) | −1.39016 | − | 2.40784i | −0.0573782 | − | 0.0993820i | 0.835910 | − | 0.548867i | \(-0.184941\pi\) |
−0.893288 | + | 0.449485i | \(0.851607\pi\) | |||||||
\(588\) | 7.74154 | + | 1.07547i | 0.319256 | + | 0.0443514i | ||||
\(589\) | 11.7771 | − | 20.3985i | 0.485265 | − | 0.840504i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.20118 | + | 2.82663i | −0.0905445 | + | 0.116272i | ||||
\(592\) | −16.4485 | − | 28.4897i | −0.676031 | − | 1.17092i | ||||
\(593\) | −14.8084 | −0.608109 | −0.304055 | − | 0.952655i | \(-0.598341\pi\) | ||||
−0.304055 | + | 0.952655i | \(0.598341\pi\) | |||||||
\(594\) | −21.2176 | + | 15.5705i | −0.870570 | + | 0.638867i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 5.46717 | + | 9.46941i | 0.223944 | + | 0.387882i | ||||
\(597\) | 13.9376 | − | 17.8979i | 0.570429 | − | 0.732511i | ||||
\(598\) | 19.4976 | − | 33.7709i | 0.797318 | − | 1.38100i | ||||
\(599\) | 8.17151 | − | 14.1535i | 0.333879 | − | 0.578295i | −0.649390 | − | 0.760456i | \(-0.724976\pi\) |
0.983269 | + | 0.182160i | \(0.0583090\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.31185 | + | 5.73630i | 0.135093 | + | 0.233988i | 0.925633 | − | 0.378422i | \(-0.123533\pi\) |
−0.790540 | + | 0.612411i | \(0.790200\pi\) | |||||||
\(602\) | −1.09591 | −0.0446658 | ||||||||
\(603\) | −6.94617 | − | 1.96792i | −0.282870 | − | 0.0801400i | ||||
\(604\) | 15.2428 | 0.620221 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 18.4839 | + | 45.5408i | 0.750857 | + | 1.84997i | ||||
\(607\) | −15.1547 | + | 26.2487i | −0.615110 | + | 1.06540i | 0.375256 | + | 0.926921i | \(0.377555\pi\) |
−0.990365 | + | 0.138480i | \(0.955778\pi\) | |||||||
\(608\) | 10.1403 | − | 17.5634i | 0.411242 | − | 0.712291i | ||||
\(609\) | −0.809554 | − | 1.99459i | −0.0328048 | − | 0.0808248i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 23.1347 | 0.935931 | ||||||||
\(612\) | 11.7804 | + | 3.33751i | 0.476195 | + | 0.134911i | ||||
\(613\) | 14.7803 | 0.596969 | 0.298484 | − | 0.954415i | \(-0.403519\pi\) | ||||
0.298484 | + | 0.954415i | \(0.403519\pi\) | |||||||
\(614\) | 4.44459 | + | 7.69825i | 0.179369 | + | 0.310676i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.70330 | − | 2.95020i | 0.0686278 | − | 0.118867i | ||||
\(617\) | 16.9256 | − | 29.3160i | 0.681399 | − | 1.18022i | −0.293155 | − | 0.956065i | \(-0.594705\pi\) |
0.974554 | − | 0.224152i | \(-0.0719614\pi\) | |||||||
\(618\) | 1.44782 | − | 1.85920i | 0.0582399 | − | 0.0747882i | ||||
\(619\) | −5.84433 | − | 10.1227i | −0.234903 | − | 0.406865i | 0.724341 | − | 0.689442i | \(-0.242144\pi\) |
−0.959245 | + | 0.282577i | \(0.908811\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 16.0261 | − | 11.7607i | 0.643105 | − | 0.471942i | ||||
\(622\) | 31.1709 | 1.24984 | ||||||||
\(623\) | 0.855334 | + | 1.48148i | 0.0342682 | + | 0.0593543i | ||||
\(624\) | −32.4716 | + | 41.6981i | −1.29990 | + | 1.66926i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −7.46800 | + | 12.9350i | −0.298481 | + | 0.516985i | ||||
\(627\) | 29.6260 | + | 4.11568i | 1.18315 | + | 0.164364i | ||||
\(628\) | −4.16843 | − | 7.21993i | −0.166338 | − | 0.288107i | ||||
\(629\) | −41.0347 | −1.63616 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.1357 | −1.51816 | −0.759078 | − | 0.650999i | \(-0.774350\pi\) | ||||
−0.759078 | + | 0.650999i | \(0.774350\pi\) | |||||||
\(632\) | −3.69972 | − | 6.40810i | −0.147167 | − | 0.254901i | ||||
\(633\) | 7.23815 | + | 17.8334i | 0.287691 | + | 0.708816i | ||||
\(634\) | 11.6294 | − | 20.1428i | 0.461864 | − | 0.799972i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.10786 | − | 2.72955i | −0.0439294 | − | 0.108234i | ||||
\(637\) | 21.0408 | + | 36.4437i | 0.833666 | + | 1.44395i | ||||
\(638\) | −12.4562 | −0.493144 | ||||||||
\(639\) | −4.07346 | − | 16.1194i | −0.161144 | − | 0.637675i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 17.3827 | + | 30.1077i | 0.686576 | + | 1.18918i | 0.972939 | + | 0.231063i | \(0.0742204\pi\) |
−0.286363 | + | 0.958121i | \(0.592446\pi\) | |||||||
\(642\) | 31.0223 | + | 4.30966i | 1.22435 | + | 0.170089i | ||||
\(643\) | −1.34258 | + | 2.32541i | −0.0529461 | + | 0.0917053i | −0.891284 | − | 0.453446i | \(-0.850194\pi\) |
0.838338 | + | 0.545151i | \(0.183528\pi\) | |||||||
\(644\) | 0.646726 | − | 1.12016i | 0.0254846 | − | 0.0441406i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −27.7565 | − | 48.0757i | −1.09207 | − | 1.89151i | ||||
\(647\) | 40.5103 | 1.59262 | 0.796311 | − | 0.604887i | \(-0.206782\pi\) | ||||
0.796311 | + | 0.604887i | \(0.206782\pi\) | |||||||
\(648\) | −17.2202 | + | 9.29698i | −0.676474 | + | 0.365220i | ||||
\(649\) | 8.93578 | 0.350760 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.27407 | + | 2.92022i | −0.0891277 | + | 0.114453i | ||||
\(652\) | 2.53365 | − | 4.38841i | 0.0992253 | − | 0.171863i | ||||
\(653\) | −6.66772 | + | 11.5488i | −0.260928 | + | 0.451941i | −0.966489 | − | 0.256709i | \(-0.917362\pi\) |
0.705561 | + | 0.708650i | \(0.250695\pi\) | |||||||
\(654\) | −13.0563 | − | 1.81380i | −0.510543 | − | 0.0709253i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 26.6132 | 1.03907 | ||||||||
\(657\) | −8.67223 | − | 34.3176i | −0.338336 | − | 1.33886i | ||||
\(658\) | 3.06126 | 0.119340 | ||||||||
\(659\) | −15.5772 | − | 26.9804i | −0.606800 | − | 1.05101i | −0.991764 | − | 0.128077i | \(-0.959120\pi\) |
0.384965 | − | 0.922931i | \(-0.374214\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.15894 | + | 5.47145i | −0.122869 | + | 0.212815i | −0.920898 | − | 0.389804i | \(-0.872543\pi\) |
0.798029 | + | 0.602619i | \(0.205876\pi\) | |||||||
\(662\) | −9.96574 | + | 17.2612i | −0.387329 | + | 0.670874i | ||||
\(663\) | 24.7924 | + | 61.0837i | 0.962856 | + | 2.37230i | ||||
\(664\) | −15.1134 | − | 26.1771i | −0.586512 | − | 1.01587i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −23.6431 | + | 22.9775i | −0.916150 | + | 0.890358i | ||||
\(667\) | 9.40838 | 0.364294 | ||||||||
\(668\) | 0.995798 | + | 1.72477i | 0.0385286 | + | 0.0667334i | ||||
\(669\) | 6.68047 | + | 0.928060i | 0.258282 | + | 0.0358809i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.40764 | − | 7.63426i | 0.170155 | − | 0.294717i | ||||
\(672\) | −1.95801 | + | 2.51436i | −0.0755320 | + | 0.0969937i | ||||
\(673\) | 3.29610 | + | 5.70901i | 0.127055 | + | 0.220066i | 0.922534 | − | 0.385915i | \(-0.126114\pi\) |
−0.795479 | + | 0.605981i | \(0.792781\pi\) | |||||||
\(674\) | −7.49857 | −0.288834 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.3476 | 0.667214 | ||||||||
\(677\) | −17.4473 | − | 30.2197i | −0.670556 | − | 1.16144i | −0.977747 | − | 0.209788i | \(-0.932722\pi\) |
0.307191 | − | 0.951648i | \(-0.400611\pi\) | |||||||
\(678\) | −20.8530 | + | 26.7782i | −0.800855 | + | 1.02841i | ||||
\(679\) | −2.79851 | + | 4.84716i | −0.107397 | + | 0.186017i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −21.9733 | − | 3.05256i | −0.842019 | − | 0.116974i | ||||
\(682\) | 10.7086 | + | 18.5479i | 0.410054 | + | 0.710234i | ||||
\(683\) | 26.0958 | 0.998528 | 0.499264 | − | 0.866450i | \(-0.333604\pi\) | ||||
0.499264 | + | 0.866450i | \(0.333604\pi\) | |||||||
\(684\) | −10.7569 | − | 3.04755i | −0.411302 | − | 0.116526i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 5.67378 | + | 9.82727i | 0.216626 | + | 0.375207i | ||||
\(687\) | 4.33365 | + | 10.6773i | 0.165339 | + | 0.407364i | ||||
\(688\) | −3.24583 | + | 5.62194i | −0.123746 | + | 0.214334i | ||||
\(689\) | 7.93028 | − | 13.7356i | 0.302119 | − | 0.523286i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.6529 | + | 25.3796i | 0.557423 | + | 0.965485i | 0.997711 | + | 0.0676282i | \(0.0215432\pi\) |
−0.440288 | + | 0.897857i | \(0.645124\pi\) | |||||||
\(692\) | −10.6065 | −0.403197 | ||||||||
\(693\) | −4.52207 | − | 1.28115i | −0.171779 | − | 0.0486668i | ||||
\(694\) | −54.6648 | −2.07505 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −9.17413 | − | 1.27448i | −0.347745 | − | 0.0483091i | ||||
\(697\) | 16.5982 | − | 28.7489i | 0.628701 | − | 1.08894i | ||||
\(698\) | −22.9387 | + | 39.7311i | −0.868244 | + | 1.50384i | ||||
\(699\) | −3.89318 | + | 4.99939i | −0.147253 | + | 0.189094i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 15.3891 | 0.581239 | 0.290620 | − | 0.956839i | \(-0.406139\pi\) | ||||
0.290620 | + | 0.956839i | \(0.406139\pi\) | |||||||
\(702\) | 48.4887 | + | 21.3123i | 1.83009 | + | 0.804379i | ||||
\(703\) | 37.4696 | 1.41319 | ||||||||
\(704\) | −5.94116 | − | 10.2904i | −0.223916 | − | 0.387834i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.50442 | + | 2.60572i | −0.0566194 | + | 0.0980677i | ||||
\(707\) | −4.38870 | + | 7.60146i | −0.165054 | + | 0.285882i | ||||
\(708\) | −3.30836 | − | 0.459601i | −0.124336 | − | 0.0172729i | ||||
\(709\) | 3.86996 | + | 6.70296i | 0.145339 | + | 0.251735i | 0.929499 | − | 0.368823i | \(-0.120239\pi\) |
−0.784160 | + | 0.620558i | \(0.786906\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.32113 | + | 7.11502i | −0.274564 | + | 0.266834i | ||||
\(712\) | 7.36062 | 0.275851 | ||||||||
\(713\) | −8.08842 | − | 14.0096i | −0.302914 | − | 0.524662i | ||||
\(714\) | 3.28060 | + | 8.08278i | 0.122773 | + | 0.302490i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −5.71508 | + | 9.89880i | −0.213582 | + | 0.369936i | ||||
\(717\) | −10.2213 | − | 25.1833i | −0.381720 | − | 0.940486i | ||||
\(718\) | −9.89374 | − | 17.1365i | −0.369231 | − | 0.639527i | ||||
\(719\) | −15.1316 | −0.564313 | −0.282156 | − | 0.959368i | \(-0.591050\pi\) | ||||
−0.282156 | + | 0.959368i | \(0.591050\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.420832 | 0.0156726 | ||||||||
\(722\) | 9.82470 | + | 17.0169i | 0.365638 | + | 0.633303i | ||||
\(723\) | −19.2573 | − | 2.67525i | −0.716185 | − | 0.0994934i | ||||
\(724\) | −4.47229 | + | 7.74623i | −0.166211 | + | 0.287886i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.41445 | − | 3.10049i | 0.0896086 | − | 0.115070i | ||||
\(727\) | −0.0809381 | − | 0.140189i | −0.00300183 | − | 0.00519932i | 0.864521 | − | 0.502597i | \(-0.167622\pi\) |
−0.867522 | + | 0.497398i | \(0.834289\pi\) | |||||||
\(728\) | −6.85590 | −0.254097 | ||||||||
\(729\) | 18.2569 | + | 19.8918i | 0.676183 | + | 0.736734i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.04873 | + | 7.01260i | 0.149748 | + | 0.259370i | ||||
\(732\) | −2.02453 | + | 2.59978i | −0.0748288 | + | 0.0960907i | ||||
\(733\) | 25.0166 | − | 43.3300i | 0.924009 | − | 1.60043i | 0.130861 | − | 0.991401i | \(-0.458226\pi\) |
0.793148 | − | 0.609029i | \(-0.208441\pi\) | |||||||
\(734\) | −11.9047 | + | 20.6196i | −0.439412 | + | 0.761084i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.96427 | − | 12.0625i | −0.256707 | − | 0.444629i | ||||
\(737\) | −7.46070 | −0.274818 | ||||||||
\(738\) | −6.53458 | − | 25.8585i | −0.240541 | − | 0.951866i | ||||
\(739\) | 30.5505 | 1.12382 | 0.561909 | − | 0.827199i | \(-0.310067\pi\) | ||||
0.561909 | + | 0.827199i | \(0.310067\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −22.6384 | − | 55.7768i | −0.831643 | − | 2.04901i | ||||
\(742\) | 1.04936 | − | 1.81754i | 0.0385231 | − | 0.0667240i | ||||
\(743\) | −2.98342 | + | 5.16743i | −0.109451 | + | 0.189575i | −0.915548 | − | 0.402209i | \(-0.868243\pi\) |
0.806097 | + | 0.591783i | \(0.201576\pi\) | |||||||
\(744\) | 5.98927 | + | 14.7564i | 0.219577 | + | 0.540997i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 15.4329 | 0.565039 | ||||||||
\(747\) | −29.9068 | + | 29.0649i | −1.09423 | + | 1.06343i | ||||
\(748\) | 12.6530 | 0.462640 | ||||||||
\(749\) | 2.79670 | + | 4.84403i | 0.102189 | + | 0.176997i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.1988 | + | 29.7892i | −0.627593 | + | 1.08702i | 0.360441 | + | 0.932782i | \(0.382626\pi\) |
−0.988033 | + | 0.154240i | \(0.950707\pi\) | |||||||
\(752\) | 9.06674 | − | 15.7041i | 0.330630 | − | 0.572668i | ||||
\(753\) | 7.38591 | − | 9.48454i | 0.269157 | − | 0.345636i | ||||
\(754\) | 12.5342 | + | 21.7099i | 0.456470 | + | 0.790630i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.60834 | + | 0.706916i | 0.0584948 | + | 0.0257103i | ||||
\(757\) | 40.6873 | 1.47881 | 0.739403 | − | 0.673263i | \(-0.235108\pi\) | ||||
0.739403 | + | 0.673263i | \(0.235108\pi\) | |||||||
\(758\) | −23.3248 | − | 40.3997i | −0.847194 | − | 1.46738i | ||||
\(759\) | 12.6214 | − | 16.2077i | 0.458128 | − | 0.588301i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14.1298 | + | 24.4735i | −0.512204 | + | 0.887164i | 0.487696 | + | 0.873014i | \(0.337838\pi\) |
−0.999900 | + | 0.0141502i | \(0.995496\pi\) | |||||||
\(762\) | −9.04898 | − | 1.25710i | −0.327810 | − | 0.0455398i | ||||
\(763\) | −1.17705 | − | 2.03870i | −0.0426119 | − | 0.0738060i | ||||
\(764\) | 16.9519 | 0.613299 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.39407 | −0.0865013 | ||||||||
\(767\) | −8.99180 | − | 15.5743i | −0.324675 | − | 0.562354i | ||||
\(768\) | 9.41952 | + | 23.2079i | 0.339898 | + | 0.837444i | ||||
\(769\) | 23.4518 | − | 40.6197i | 0.845694 | − | 1.46478i | −0.0393235 | − | 0.999227i | \(-0.512520\pi\) |
0.885017 | − | 0.465558i | \(-0.154146\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.9417 | + | 29.4221i | 0.430070 | + | 1.05961i | ||||
\(772\) | 3.19791 | + | 5.53894i | 0.115095 | + | 0.199351i | ||||
\(773\) | 9.19641 | 0.330772 | 0.165386 | − | 0.986229i | \(-0.447113\pi\) | ||||
0.165386 | + | 0.986229i | \(0.447113\pi\) | |||||||
\(774\) | 6.25949 | + | 1.77338i | 0.224993 | + | 0.0637428i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 12.0414 | + | 20.8563i | 0.432260 | + | 0.748696i | ||||
\(777\) |