Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(55,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.i (of order \(11\), degree \(10\), 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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 138) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Root | \(0.142315 + 0.989821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 414.127 |
Dual form | 414.2.i.a.163.1 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | −1.78074 | + | 0.522874i | −0.796373 | + | 0.233836i | −0.654513 | − | 0.756051i | \(-0.727126\pi\) |
−0.141860 | + | 0.989887i | \(0.545308\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.54487 | − | 2.93694i | −0.961870 | − | 1.11006i | −0.993868 | − | 0.110569i | \(-0.964733\pi\) |
0.0319983 | − | 0.999488i | \(-0.489813\pi\) | |||||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.21537 | + | 1.40261i | −0.384334 | + | 0.443545i | ||||
\(11\) | −1.81329 | − | 1.16533i | −0.546728 | − | 0.351361i | 0.237937 | − | 0.971281i | \(-0.423529\pi\) |
−0.784665 | + | 0.619920i | \(0.787165\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.55742 | − | 5.25954i | 1.26400 | − | 1.45873i | 0.434056 | − | 0.900886i | \(-0.357082\pi\) |
0.829944 | − | 0.557847i | \(-0.188373\pi\) | |||||||
\(14\) | −3.72871 | − | 1.09485i | −0.996539 | − | 0.292610i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −2.36483 | − | 5.17825i | −0.573555 | − | 1.25591i | −0.944883 | − | 0.327408i | \(-0.893825\pi\) |
0.371328 | − | 0.928502i | \(-0.378902\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.810827 | + | 1.77546i | −0.186017 | + | 0.407319i | −0.979548 | − | 0.201209i | \(-0.935513\pi\) |
0.793532 | + | 0.608529i | \(0.208240\pi\) | |||||||
\(20\) | −0.264125 | + | 1.83703i | −0.0590602 | + | 0.410773i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.15546 | −0.459547 | ||||||||
\(23\) | 4.40644 | + | 1.89296i | 0.918806 | + | 0.394709i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.30862 | + | 0.840996i | −0.261723 | + | 0.168199i | ||||
\(26\) | 0.990421 | − | 6.88853i | 0.194238 | − | 1.35095i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.72871 | + | 1.09485i | −0.704659 | + | 0.206907i | ||||
\(29\) | 0.0455430 | + | 0.0997253i | 0.00845712 | + | 0.0185185i | 0.913813 | − | 0.406134i | \(-0.133123\pi\) |
−0.905356 | + | 0.424653i | \(0.860396\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.21361 | + | 8.44082i | 0.217970 | + | 1.51602i | 0.745515 | + | 0.666489i | \(0.232204\pi\) |
−0.527545 | + | 0.849527i | \(0.676887\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.78899 | − | 3.07770i | −0.821305 | − | 0.527821i | ||||
\(35\) | 6.06741 | + | 3.89929i | 1.02558 | + | 0.659100i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.65904 | + | 0.487137i | 0.272744 | + | 0.0800848i | 0.415244 | − | 0.909710i | \(-0.363696\pi\) |
−0.142501 | + | 0.989795i | \(0.545514\pi\) | |||||||
\(38\) | 0.277777 | + | 1.93198i | 0.0450614 | + | 0.313409i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.770978 | + | 1.68821i | 0.121902 | + | 0.266929i | ||||
\(41\) | 7.89200 | − | 2.31730i | 1.23252 | − | 0.361902i | 0.400322 | − | 0.916375i | \(-0.368898\pi\) |
0.832202 | + | 0.554473i | \(0.187080\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.147532 | − | 1.02611i | 0.0224984 | − | 0.156480i | −0.975475 | − | 0.220109i | \(-0.929359\pi\) |
0.997974 | + | 0.0636297i | \(0.0202677\pi\) | |||||||
\(44\) | −1.81329 | + | 1.16533i | −0.273364 | + | 0.175680i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.73034 | − | 0.789845i | 0.697451 | − | 0.116456i | ||||
\(47\) | −3.27175 | −0.477234 | −0.238617 | − | 0.971114i | \(-0.576694\pi\) | ||||
−0.238617 | + | 0.971114i | \(0.576694\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.15303 | + | 8.01948i | −0.164718 | + | 1.14564i | ||||
\(50\) | −0.646201 | + | 1.41498i | −0.0913866 | + | 0.200109i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.89102 | − | 6.33046i | −0.400913 | − | 0.877877i | ||||
\(53\) | −7.20264 | − | 8.31229i | −0.989359 | − | 1.14178i | −0.989898 | − | 0.141781i | \(-0.954717\pi\) |
0.000538809 | − | 1.00000i | \(-0.499828\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.83833 | + | 1.12704i | 0.517560 | + | 0.151969i | ||||
\(56\) | −2.54487 | + | 2.93694i | −0.340072 | + | 0.392465i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0922288 | + | 0.0592718i | 0.0121102 | + | 0.00778277i | ||||
\(59\) | −1.62990 | + | 1.88101i | −0.212195 | + | 0.244886i | −0.851862 | − | 0.523766i | \(-0.824527\pi\) |
0.639667 | + | 0.768652i | \(0.279072\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.899677 | + | 6.25739i | 0.115192 | + | 0.801177i | 0.962734 | + | 0.270449i | \(0.0871722\pi\) |
−0.847542 | + | 0.530728i | \(0.821919\pi\) | |||||||
\(62\) | 5.58440 | + | 6.44475i | 0.709220 | + | 0.818484i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −5.36552 | + | 11.7488i | −0.665510 | + | 1.45726i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.07739 | + | 1.97772i | −0.375963 | + | 0.241617i | −0.714952 | − | 0.699174i | \(-0.753551\pi\) |
0.338989 | + | 0.940790i | \(0.389915\pi\) | |||||||
\(68\) | −5.69269 | −0.690340 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.21234 | 0.862039 | ||||||||
\(71\) | 0.478315 | − | 0.307394i | 0.0567656 | − | 0.0364810i | −0.511950 | − | 0.859015i | \(-0.671077\pi\) |
0.568716 | + | 0.822534i | \(0.307440\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.79550 | − | 12.6904i | 0.678312 | − | 1.48530i | −0.186110 | − | 0.982529i | \(-0.559588\pi\) |
0.864422 | − | 0.502767i | \(-0.167685\pi\) | |||||||
\(74\) | 1.65904 | − | 0.487137i | 0.192859 | − | 0.0566285i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.27819 | + | 1.47511i | 0.146618 | + | 0.169207i | ||||
\(77\) | 1.19209 | + | 8.29114i | 0.135851 | + | 0.944863i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.59166 | − | 11.0694i | 1.07915 | − | 1.24540i | 0.111319 | − | 0.993785i | \(-0.464492\pi\) |
0.967827 | − | 0.251617i | \(-0.0809622\pi\) | |||||||
\(80\) | 1.56130 | + | 1.00339i | 0.174559 | + | 0.112182i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.38635 | − | 6.21618i | 0.594823 | − | 0.686462i | ||||
\(83\) | 9.91575 | + | 2.91153i | 1.08839 | + | 0.319582i | 0.776232 | − | 0.630447i | \(-0.217128\pi\) |
0.312163 | + | 0.950029i | \(0.398947\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.91872 | + | 7.98463i | 0.750441 | + | 0.866055i | ||||
\(86\) | −0.430643 | − | 0.942977i | −0.0464374 | − | 0.101684i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.895412 | + | 1.96068i | −0.0954513 | + | 0.209009i | ||||
\(89\) | 0.730279 | − | 5.07920i | 0.0774094 | − | 0.538394i | −0.913807 | − | 0.406148i | \(-0.866872\pi\) |
0.991217 | − | 0.132247i | \(-0.0422191\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −27.0449 | −2.83508 | ||||||||
\(92\) | 3.55240 | − | 3.22188i | 0.370363 | − | 0.335904i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.75237 | + | 1.76884i | −0.283885 | + | 0.182442i | ||||
\(95\) | 0.515533 | − | 3.58561i | 0.0528925 | − | 0.367876i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.38188 | − | 1.87389i | 0.647982 | − | 0.190265i | 0.0588058 | − | 0.998269i | \(-0.481271\pi\) |
0.589176 | + | 0.808005i | \(0.299453\pi\) | |||||||
\(98\) | 3.36567 | + | 7.36979i | 0.339984 | + | 0.744461i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.221378 | + | 1.53972i | 0.0221378 | + | 0.153972i | ||||
\(101\) | 8.33312 | + | 2.44683i | 0.829177 | + | 0.243468i | 0.668663 | − | 0.743565i | \(-0.266867\pi\) |
0.160514 | + | 0.987034i | \(0.448685\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.87385 | + | 5.06021i | 0.775833 | + | 0.498598i | 0.867648 | − | 0.497178i | \(-0.165631\pi\) |
−0.0918152 | + | 0.995776i | \(0.529267\pi\) | |||||||
\(104\) | −5.85459 | − | 3.76252i | −0.574090 | − | 0.368945i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.5532 | − | 3.09870i | −1.02502 | − | 0.300973i | ||||
\(107\) | 0.332225 | + | 2.31068i | 0.0321174 | + | 0.223382i | 0.999558 | − | 0.0297151i | \(-0.00946000\pi\) |
−0.967441 | + | 0.253097i | \(0.918551\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.35656 | + | 7.34985i | 0.321500 | + | 0.703988i | 0.999518 | − | 0.0310584i | \(-0.00988778\pi\) |
−0.678017 | + | 0.735046i | \(0.737161\pi\) | |||||||
\(110\) | 3.83833 | − | 1.12704i | 0.365970 | − | 0.107459i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.553053 | + | 3.84657i | −0.0522586 | + | 0.363466i | ||||
\(113\) | 7.30000 | − | 4.69142i | 0.686726 | − | 0.441332i | −0.150194 | − | 0.988656i | \(-0.547990\pi\) |
0.836921 | + | 0.547324i | \(0.184354\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.83652 | − | 1.06686i | −0.824010 | − | 0.0994853i | ||||
\(116\) | 0.109633 | 0.0101791 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.354212 | + | 2.46360i | −0.0326078 | + | 0.226792i | ||||
\(119\) | −9.19001 | + | 20.1233i | −0.842447 | + | 1.84470i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.63954 | − | 5.77978i | −0.239958 | − | 0.525434i | ||||
\(122\) | 4.13986 | + | 4.77765i | 0.374805 | + | 0.432548i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 8.18219 | + | 2.40251i | 0.734783 | + | 0.215752i | ||||
\(125\) | 7.96743 | − | 9.19490i | 0.712628 | − | 0.822417i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.37135 | − | 6.02260i | −0.831573 | − | 0.534419i | 0.0542046 | − | 0.998530i | \(-0.482738\pi\) |
−0.885777 | + | 0.464111i | \(0.846374\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.83814 | + | 12.7846i | 0.161216 | + | 1.12128i | ||||
\(131\) | −8.82678 | − | 10.1867i | −0.771200 | − | 0.890012i | 0.225241 | − | 0.974303i | \(-0.427683\pi\) |
−0.996441 | + | 0.0842910i | \(0.973137\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.27787 | − | 2.13698i | 0.631072 | − | 0.185299i | ||||
\(134\) | −1.51963 | + | 3.32753i | −0.131276 | + | 0.287454i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.78899 | + | 3.07770i | −0.410653 | + | 0.263910i | ||||
\(137\) | −6.04662 | −0.516598 | −0.258299 | − | 0.966065i | \(-0.583162\pi\) | ||||
−0.258299 | + | 0.966065i | \(0.583162\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.93190 | −0.163862 | −0.0819308 | − | 0.996638i | \(-0.526109\pi\) | ||||
−0.0819308 | + | 0.996638i | \(0.526109\pi\) | |||||||
\(140\) | 6.06741 | − | 3.89929i | 0.512789 | − | 0.329550i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.236194 | − | 0.517193i | 0.0198210 | − | 0.0434019i | ||||
\(143\) | −14.3930 | + | 4.22618i | −1.20361 | + | 0.353411i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.133244 | − | 0.153772i | −0.0110653 | − | 0.0127701i | ||||
\(146\) | −1.98545 | − | 13.8091i | −0.164317 | − | 1.14285i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.13230 | − | 1.30675i | 0.0930748 | − | 0.107414i | ||||
\(149\) | 10.7428 | + | 6.90400i | 0.880087 | + | 0.565598i | 0.900823 | − | 0.434187i | \(-0.142964\pi\) |
−0.0207353 | + | 0.999785i | \(0.506601\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.46657 | + | 4.00064i | −0.282106 | + | 0.325567i | −0.879063 | − | 0.476706i | \(-0.841831\pi\) |
0.596957 | + | 0.802273i | \(0.296376\pi\) | |||||||
\(152\) | 1.87279 | + | 0.549899i | 0.151903 | + | 0.0446027i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.48538 | + | 6.33046i | 0.442024 | + | 0.510123i | ||||
\(155\) | −6.57461 | − | 14.3964i | −0.528085 | − | 1.15635i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.53347 | + | 5.54753i | −0.202193 | + | 0.442741i | −0.983381 | − | 0.181555i | \(-0.941887\pi\) |
0.781188 | + | 0.624296i | \(0.214614\pi\) | |||||||
\(158\) | 2.08447 | − | 14.4978i | 0.165831 | − | 1.15338i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.85592 | 0.146724 | ||||||||
\(161\) | −5.65432 | − | 17.7588i | −0.445623 | − | 1.39959i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.84938 | − | 1.18853i | 0.144855 | − | 0.0930926i | −0.466206 | − | 0.884676i | \(-0.654379\pi\) |
0.611061 | + | 0.791584i | \(0.290743\pi\) | |||||||
\(164\) | 1.17057 | − | 8.14146i | 0.0914058 | − | 0.635741i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.91575 | − | 2.91153i | 0.769611 | − | 0.225978i | ||||
\(167\) | 7.68773 | + | 16.8338i | 0.594894 | + | 1.30264i | 0.932439 | + | 0.361328i | \(0.117676\pi\) |
−0.337545 | + | 0.941310i | \(0.609596\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.04261 | − | 35.0721i | −0.387893 | − | 2.69785i | ||||
\(170\) | 10.1372 | + | 2.97655i | 0.777489 | + | 0.228291i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.872092 | − | 0.560459i | −0.0664964 | − | 0.0427346i | ||||
\(173\) | 19.2766 | + | 12.3883i | 1.46557 | + | 0.941866i | 0.998332 | + | 0.0577352i | \(0.0183879\pi\) |
0.467240 | + | 0.884131i | \(0.345248\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.80021 | + | 1.70309i | 0.438454 | + | 0.128742i | ||||
\(176\) | 0.306755 | + | 2.13353i | 0.0231225 | + | 0.160821i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.13167 | − | 4.66772i | −0.159776 | − | 0.349860i | ||||
\(179\) | −0.953987 | + | 0.280116i | −0.0713043 | + | 0.0209368i | −0.317190 | − | 0.948362i | \(-0.602739\pi\) |
0.245886 | + | 0.969299i | \(0.420921\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.19175 | − | 8.28881i | 0.0885821 | − | 0.616102i | −0.896374 | − | 0.443298i | \(-0.853808\pi\) |
0.984956 | − | 0.172804i | \(-0.0552827\pi\) | |||||||
\(182\) | −22.7517 | + | 14.6216i | −1.68647 | + | 1.08383i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.24659 | − | 4.63098i | 0.0918997 | − | 0.341401i | ||||
\(185\) | −3.20903 | −0.235932 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.74626 | + | 12.1455i | −0.127699 | + | 0.888166i | ||||
\(188\) | −1.35913 | + | 2.97609i | −0.0991250 | + | 0.217054i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.50483 | − | 3.29512i | −0.109172 | − | 0.239053i | ||||
\(191\) | −15.6550 | − | 18.0669i | −1.13276 | − | 1.30727i | −0.945743 | − | 0.324917i | \(-0.894664\pi\) |
−0.187016 | − | 0.982357i | \(-0.559882\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.9056 | − | 4.37669i | −1.07293 | − | 0.315041i | −0.302883 | − | 0.953028i | \(-0.597949\pi\) |
−0.770047 | + | 0.637987i | \(0.779767\pi\) | |||||||
\(194\) | 4.35568 | − | 5.02672i | 0.312719 | − | 0.360897i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.81579 | + | 4.38024i | 0.486842 | + | 0.312875i | ||||
\(197\) | −11.3013 | + | 13.0424i | −0.805186 | + | 0.929235i | −0.998654 | − | 0.0518720i | \(-0.983481\pi\) |
0.193467 | + | 0.981107i | \(0.438027\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.15100 | + | 21.9157i | 0.223369 | + | 1.55356i | 0.725164 | + | 0.688576i | \(0.241764\pi\) |
−0.501796 | + | 0.864986i | \(0.667327\pi\) | |||||||
\(200\) | 1.01867 | + | 1.17561i | 0.0720309 | + | 0.0831281i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.33312 | − | 2.44683i | 0.586316 | − | 0.172158i | ||||
\(203\) | 0.176986 | − | 0.387545i | 0.0124220 | − | 0.0272003i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.8420 | + | 8.25304i | −0.896923 | + | 0.576417i | ||||
\(206\) | 9.35966 | 0.652118 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.95937 | −0.482545 | ||||||||
\(209\) | 3.53927 | − | 2.27455i | 0.244817 | − | 0.157334i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.02879 | + | 19.7703i | −0.621568 | + | 1.36104i | 0.292806 | + | 0.956172i | \(0.405411\pi\) |
−0.914374 | + | 0.404872i | \(0.867316\pi\) | |||||||
\(212\) | −10.5532 | + | 3.09870i | −0.724798 | + | 0.212820i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.52873 | + | 1.76425i | 0.104502 | + | 0.120602i | ||||
\(215\) | 0.273807 | + | 1.90437i | 0.0186735 | + | 0.129877i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 21.7017 | − | 25.0451i | 1.47321 | − | 1.70017i | ||||
\(218\) | 6.79735 | + | 4.36839i | 0.460374 | + | 0.295865i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.61969 | − | 3.02328i | 0.176619 | − | 0.203830i | ||||
\(221\) | −38.0127 | − | 11.1615i | −2.55701 | − | 0.750806i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.9479 | − | 13.7886i | −0.800089 | − | 0.923352i | 0.198297 | − | 0.980142i | \(-0.436459\pi\) |
−0.998386 | + | 0.0567898i | \(0.981914\pi\) | |||||||
\(224\) | 1.61435 | + | 3.53494i | 0.107864 | + | 0.236188i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.60477 | − | 7.89336i | 0.239786 | − | 0.525058i | ||||
\(227\) | 0.612472 | − | 4.25983i | 0.0406512 | − | 0.282735i | −0.959349 | − | 0.282223i | \(-0.908928\pi\) |
1.00000 | 0.000511662i | \(-0.000162867\pi\) | ||||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.84706 | −0.650712 | −0.325356 | − | 0.945592i | \(-0.605484\pi\) | ||||
−0.325356 | + | 0.945592i | \(0.605484\pi\) | |||||||
\(230\) | −8.01054 | + | 3.87988i | −0.528199 | + | 0.255832i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.0922288 | − | 0.0592718i | 0.00605511 | − | 0.00389139i | ||||
\(233\) | −0.315630 | + | 2.19525i | −0.0206776 | + | 0.143816i | −0.997545 | − | 0.0700309i | \(-0.977690\pi\) |
0.976867 | + | 0.213847i | \(0.0685993\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.82615 | − | 1.71071i | 0.380056 | − | 0.111594i | ||||
\(236\) | 1.03394 | + | 2.26401i | 0.0673037 | + | 0.147375i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.14836 | + | 21.8973i | 0.204078 | + | 1.41939i | ||||
\(239\) | −11.5400 | − | 3.38846i | −0.746462 | − | 0.219181i | −0.113687 | − | 0.993517i | \(-0.536266\pi\) |
−0.632775 | + | 0.774336i | \(0.718084\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.5401 | − | 9.34433i | −0.936608 | − | 0.601921i | −0.0191767 | − | 0.999816i | \(-0.506105\pi\) |
−0.917431 | + | 0.397895i | \(0.869741\pi\) | |||||||
\(242\) | −5.34530 | − | 3.43522i | −0.343609 | − | 0.220824i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.06566 | + | 1.78104i | 0.388314 | + | 0.114019i | ||||
\(245\) | −2.13993 | − | 14.8835i | −0.136715 | − | 0.950874i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.64284 | + | 12.3561i | 0.359046 | + | 0.786200i | ||||
\(248\) | 8.18219 | − | 2.40251i | 0.519570 | − | 0.152559i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.73149 | − | 12.0428i | 0.109509 | − | 0.761651i | ||||
\(251\) | −2.24670 | + | 1.44387i | −0.141810 | + | 0.0911360i | −0.609622 | − | 0.792692i | \(-0.708679\pi\) |
0.467812 | + | 0.883828i | \(0.345042\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.78424 | − | 8.56745i | −0.363652 | − | 0.538631i | ||||
\(254\) | −11.1397 | −0.698970 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 12.1446 | − | 26.5930i | 0.757561 | − | 1.65883i | 0.00527932 | − | 0.999986i | \(-0.498320\pi\) |
0.752282 | − | 0.658841i | \(-0.228953\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.79134 | − | 6.11218i | −0.173445 | − | 0.379792i | ||||
\(260\) | 8.45821 | + | 9.76129i | 0.524556 | + | 0.605370i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.9329 | − | 3.79744i | −0.798996 | − | 0.234606i | ||||
\(263\) | 7.66080 | − | 8.84103i | 0.472385 | − | 0.545161i | −0.468688 | − | 0.883364i | \(-0.655273\pi\) |
0.941074 | + | 0.338202i | \(0.109819\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.1723 | + | 11.0360i | 1.05489 | + | 0.677936i | ||||
\(266\) | 4.96720 | − | 5.73246i | 0.304559 | − | 0.351479i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.520602 | + | 3.62087i | 0.0318008 | + | 0.221180i | ||||
\(269\) | 15.5355 | + | 17.9289i | 0.947215 | + | 1.09314i | 0.995543 | + | 0.0943124i | \(0.0300653\pi\) |
−0.0483281 | + | 0.998832i | \(0.515389\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.9753 | − | 4.69076i | 0.970428 | − | 0.284943i | 0.242160 | − | 0.970236i | \(-0.422144\pi\) |
0.728268 | + | 0.685293i | \(0.240326\pi\) | |||||||
\(272\) | −2.36483 | + | 5.17825i | −0.143389 | + | 0.313977i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.08674 | + | 3.26905i | −0.307301 | + | 0.197491i | ||||
\(275\) | 3.35294 | 0.202190 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.80188 | 0.528854 | 0.264427 | − | 0.964406i | \(-0.414817\pi\) | ||||
0.264427 | + | 0.964406i | \(0.414817\pi\) | |||||||
\(278\) | −1.62522 | + | 1.04446i | −0.0974741 | + | 0.0626428i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.99611 | − | 6.56058i | 0.179052 | − | 0.392069i | ||||
\(281\) | 0.904628 | − | 0.265623i | 0.0539656 | − | 0.0158457i | −0.254638 | − | 0.967036i | \(-0.581956\pi\) |
0.308604 | + | 0.951191i | \(0.400138\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.65735 | + | 8.83706i | 0.455182 | + | 0.525309i | 0.936231 | − | 0.351386i | \(-0.114289\pi\) |
−0.481048 | + | 0.876694i | \(0.659744\pi\) | |||||||
\(284\) | −0.0809166 | − | 0.562787i | −0.00480151 | − | 0.0333953i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.82335 | + | 11.3367i | −0.580867 | + | 0.670356i | ||||
\(287\) | −26.8899 | − | 17.2811i | −1.58726 | − | 1.02007i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.0892 | + | 11.6436i | −0.593484 | + | 0.684917i | ||||
\(290\) | −0.195227 | − | 0.0573240i | −0.0114642 | − | 0.00336618i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.13604 | − | 10.5435i | −0.534646 | − | 0.617014i | ||||
\(293\) | 12.2058 | + | 26.7270i | 0.713072 | + | 1.56141i | 0.823366 | + | 0.567511i | \(0.192093\pi\) |
−0.110294 | + | 0.993899i | \(0.535179\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.91891 | − | 4.20183i | 0.111723 | − | 0.244640i | ||||
\(296\) | 0.246073 | − | 1.71148i | 0.0143027 | − | 0.0994775i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.7700 | 0.739748 | ||||||||
\(299\) | 30.0381 | − | 14.5488i | 1.73715 | − | 0.841381i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.38906 | + | 2.17801i | −0.195342 | + | 0.125539i | ||||
\(302\) | −0.753358 | + | 5.23972i | −0.0433509 | + | 0.301512i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.87279 | − | 0.549899i | 0.107412 | − | 0.0315389i | ||||
\(305\) | −4.87392 | − | 10.6724i | −0.279080 | − | 0.611100i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.325579 | − | 2.26445i | −0.0185818 | − | 0.129239i | 0.978419 | − | 0.206631i | \(-0.0662499\pi\) |
−0.997001 | + | 0.0773917i | \(0.975341\pi\) | |||||||
\(308\) | 8.03710 | + | 2.35990i | 0.457956 | + | 0.134468i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −13.3142 | − | 8.55650i | −0.756195 | − | 0.485977i | ||||
\(311\) | 9.37165 | + | 6.02279i | 0.531417 | + | 0.341521i | 0.778674 | − | 0.627429i | \(-0.215893\pi\) |
−0.247256 | + | 0.968950i | \(0.579529\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −16.8630 | − | 4.95142i | −0.953152 | − | 0.279871i | −0.232053 | − | 0.972703i | \(-0.574544\pi\) |
−0.721099 | + | 0.692832i | \(0.756363\pi\) | |||||||
\(314\) | 0.867929 | + | 6.03658i | 0.0489801 | + | 0.340664i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.08453 | − | 13.3233i | −0.342282 | − | 0.749492i | ||||
\(317\) | 7.29900 | − | 2.14318i | 0.409953 | − | 0.120373i | −0.0702524 | − | 0.997529i | \(-0.522380\pi\) |
0.480205 | + | 0.877156i | \(0.340562\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0336303 | − | 0.233904i | 0.00188293 | − | 0.0130961i | ||||
\(320\) | 1.56130 | − | 1.00339i | 0.0872794 | − | 0.0560910i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −14.3578 | − | 11.8827i | −0.800130 | − | 0.662195i | ||||
\(323\) | 11.1113 | 0.618247 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.54065 | + | 10.7155i | −0.0854601 | + | 0.594388i | ||||
\(326\) | 0.913235 | − | 1.99971i | 0.0505794 | − | 0.110753i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.41686 | − | 7.48189i | −0.188665 | − | 0.413118i | ||||
\(329\) | 8.32617 | + | 9.60892i | 0.459037 | + | 0.529757i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.0608 | − | 5.30313i | −0.992711 | − | 0.291486i | −0.255249 | − | 0.966875i | \(-0.582158\pi\) |
−0.737462 | + | 0.675389i | \(0.763976\pi\) | |||||||
\(332\) | 6.76757 | − | 7.81019i | 0.371419 | − | 0.428640i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.5684 | + | 10.0052i | 0.851863 | + | 0.547459i | ||||
\(335\) | 4.44595 | − | 5.13090i | 0.242908 | − | 0.280331i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.88842 | + | 13.1343i | 0.102869 | + | 0.715469i | 0.974350 | + | 0.225039i | \(0.0722510\pi\) |
−0.871481 | + | 0.490430i | \(0.836840\pi\) | |||||||
\(338\) | −23.2035 | − | 26.7783i | −1.26211 | − | 1.45655i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.1372 | − | 2.97655i | 0.549768 | − | 0.161426i | ||||
\(341\) | 7.63574 | − | 16.7199i | 0.413498 | − | 0.905435i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.60251 | − | 2.31519i | 0.194517 | − | 0.125009i | ||||
\(344\) | −1.03666 | −0.0558928 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 22.9141 | 1.23187 | ||||||||
\(347\) | 0.676473 | − | 0.434743i | 0.0363150 | − | 0.0233382i | −0.522357 | − | 0.852727i | \(-0.674947\pi\) |
0.558672 | + | 0.829388i | \(0.311311\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.66638 | − | 10.2179i | 0.249786 | − | 0.546954i | −0.742656 | − | 0.669673i | \(-0.766434\pi\) |
0.992441 | + | 0.122719i | \(0.0391614\pi\) | |||||||
\(350\) | 5.80021 | − | 1.70309i | 0.310034 | − | 0.0910342i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.41153 | + | 1.62899i | 0.0752348 | + | 0.0868255i | ||||
\(353\) | 0.254081 | + | 1.76717i | 0.0135233 | + | 0.0940569i | 0.995465 | − | 0.0951256i | \(-0.0303253\pi\) |
−0.981942 | + | 0.189183i | \(0.939416\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.691028 | + | 0.797489i | −0.0366760 | + | 0.0423263i | ||||
\(356\) | −4.31684 | − | 2.77426i | −0.228792 | − | 0.147036i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.651103 | + | 0.751413i | −0.0344118 | + | 0.0397134i | ||||
\(359\) | −23.2504 | − | 6.82692i | −1.22711 | − | 0.360311i | −0.396950 | − | 0.917840i | \(-0.629931\pi\) |
−0.830157 | + | 0.557529i | \(0.811750\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.94752 | + | 11.4801i | 0.523554 | + | 0.604213i | ||||
\(362\) | −3.47870 | − | 7.61730i | −0.182837 | − | 0.400356i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.2349 | + | 24.6009i | −0.588868 | + | 1.28944i | ||||
\(365\) | −3.68484 | + | 25.6286i | −0.192873 | + | 1.34146i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.63035 | −0.0851034 | −0.0425517 | − | 0.999094i | \(-0.513549\pi\) | ||||
−0.0425517 | + | 0.999094i | \(0.513549\pi\) | |||||||
\(368\) | −1.45500 | − | 4.56979i | −0.0758473 | − | 0.238217i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.69961 | + | 1.73493i | −0.140346 | + | 0.0901948i | ||||
\(371\) | −6.08289 | + | 42.3074i | −0.315808 | + | 2.19649i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.17490 | − | 0.638609i | 0.112612 | − | 0.0330659i | −0.224941 | − | 0.974372i | \(-0.572219\pi\) |
0.337553 | + | 0.941306i | \(0.390401\pi\) | |||||||
\(374\) | 5.09730 | + | 11.1615i | 0.263575 | + | 0.577149i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.465618 | + | 3.23845i | 0.0240124 | + | 0.167010i | ||||
\(377\) | 0.732067 | + | 0.214954i | 0.0377034 | + | 0.0110707i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.98176 | + | 3.84425i | 0.307262 | + | 0.197466i | 0.685180 | − | 0.728374i | \(-0.259723\pi\) |
−0.377918 | + | 0.925839i | \(0.623360\pi\) | |||||||
\(380\) | −3.04742 | − | 1.95846i | −0.156330 | − | 0.100467i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −22.9375 | − | 6.73507i | −1.17359 | − | 0.344596i | ||||
\(383\) | 5.33120 | + | 37.0793i | 0.272412 | + | 1.89466i | 0.423100 | + | 0.906083i | \(0.360942\pi\) |
−0.150689 | + | 0.988581i | \(0.548149\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.45802 | − | 14.1411i | −0.329131 | − | 0.720697i | ||||
\(386\) | −14.9056 | + | 4.37669i | −0.758677 | + | 0.222768i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.946579 | − | 6.58360i | 0.0480553 | − | 0.334232i | ||||
\(389\) | −0.904743 | + | 0.581443i | −0.0458723 | + | 0.0294803i | −0.563376 | − | 0.826201i | \(-0.690498\pi\) |
0.517504 | + | 0.855681i | \(0.326861\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.618266 | − | 27.2942i | −0.0312671 | − | 1.38032i | ||||
\(392\) | 8.10195 | 0.409210 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.45601 | + | 17.0820i | −0.123732 | + | 0.860576i | ||||
\(395\) | −11.2924 | + | 24.7269i | −0.568183 | + | 1.24415i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.96350 | + | 10.8686i | 0.249111 | + | 0.545477i | 0.992337 | − | 0.123564i | \(-0.0394323\pi\) |
−0.743226 | + | 0.669041i | \(0.766705\pi\) | |||||||
\(398\) | 14.4993 | + | 16.7331i | 0.726785 | + | 0.838754i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.49254 | + | 0.438250i | 0.0746272 | + | 0.0219125i | ||||
\(401\) | −19.5043 | + | 22.5092i | −0.974001 | + | 1.12406i | 0.0182538 | + | 0.999833i | \(0.494189\pi\) |
−0.992254 | + | 0.124223i | \(0.960356\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 49.9257 | + | 32.0853i | 2.48698 | + | 1.59828i | ||||
\(404\) | 5.68742 | − | 6.56363i | 0.282959 | − | 0.326553i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.0606326 | − | 0.421709i | −0.00300915 | − | 0.0209291i | ||||
\(407\) | −2.44064 | − | 2.81665i | −0.120978 | − | 0.139616i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 27.2851 | − | 8.01164i | 1.34916 | − | 0.396150i | 0.474233 | − | 0.880400i | \(-0.342726\pi\) |
0.874930 | + | 0.484250i | \(0.160907\pi\) | |||||||
\(410\) | −6.34143 | + | 13.8858i | −0.313181 | + | 0.685771i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.87385 | − | 5.06021i | 0.387917 | − | 0.249299i | ||||
\(413\) | 9.67229 | 0.475942 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.1798 | −0.941498 | ||||||||
\(416\) | −5.85459 | + | 3.76252i | −0.287045 | + | 0.184473i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.74771 | − | 3.82695i | 0.0854833 | − | 0.187182i | ||||
\(419\) | 31.4611 | − | 9.23780i | 1.53697 | − | 0.451296i | 0.599797 | − | 0.800152i | \(-0.295248\pi\) |
0.937176 | + | 0.348856i | \(0.113430\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.2803 | + | 26.8669i | 1.13461 | + | 1.30941i | 0.944821 | + | 0.327587i | \(0.106236\pi\) |
0.189791 | + | 0.981825i | \(0.439219\pi\) | |||||||
\(422\) | 3.09313 | + | 21.5132i | 0.150571 | + | 1.04724i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.20264 | + | 8.31229i | −0.349791 | + | 0.403681i | ||||
\(425\) | 7.44954 | + | 4.78753i | 0.361356 | + | 0.232229i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.0880 | − | 18.5665i | 0.778553 | − | 0.898498i | ||||
\(428\) | 2.23988 | + | 0.657687i | 0.108269 | + | 0.0317905i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.25992 | + | 1.45403i | 0.0607589 | + | 0.0701195i | ||||
\(431\) | 11.5054 | + | 25.1933i | 0.554196 | + | 1.21352i | 0.954794 | + | 0.297267i | \(0.0960751\pi\) |
−0.400598 | + | 0.916254i | \(0.631198\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.87651 | + | 21.6265i | −0.474635 | + | 1.03931i | 0.509269 | + | 0.860607i | \(0.329916\pi\) |
−0.983904 | + | 0.178698i | \(0.942811\pi\) | |||||||
\(434\) | 4.71623 | − | 32.8021i | 0.226386 | − | 1.57455i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.08002 | 0.386963 | ||||||||
\(437\) | −6.93374 | + | 6.28862i | −0.331686 | + | 0.300825i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 28.3616 | − | 18.2269i | 1.35363 | − | 0.869922i | 0.355719 | − | 0.934593i | \(-0.384236\pi\) |
0.997907 | + | 0.0646707i | \(0.0205997\pi\) | |||||||
\(440\) | 0.569313 | − | 3.95966i | 0.0271409 | − | 0.188769i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −38.0127 | + | 11.1615i | −1.80808 | + | 0.530900i | ||||
\(443\) | −4.97713 | − | 10.8984i | −0.236471 | − | 0.517798i | 0.753775 | − | 0.657133i | \(-0.228231\pi\) |
−0.990245 | + | 0.139335i | \(0.955504\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.35534 | + | 9.42660i | 0.0642493 | + | 0.446864i | ||||
\(446\) | −17.5059 | − | 5.14019i | −0.828927 | − | 0.243395i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.26921 | + | 2.10100i | 0.154456 | + | 0.0992628i | ||||
\(449\) | 0.606817 | + | 0.389978i | 0.0286375 | + | 0.0184042i | 0.554881 | − | 0.831930i | \(-0.312764\pi\) |
−0.526244 | + | 0.850334i | \(0.676400\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.0109 | − | 4.99486i | −0.801014 | − | 0.235199i | ||||
\(452\) | −1.23494 | − | 8.58920i | −0.0580867 | − | 0.404002i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.78780 | − | 3.91473i | −0.0839054 | − | 0.183727i | ||||
\(455\) | 48.1601 | − | 14.1411i | 2.25778 | − | 0.662944i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.596629 | + | 4.14965i | −0.0279091 | + | 0.194112i | −0.999006 | − | 0.0445729i | \(-0.985807\pi\) |
0.971097 | + | 0.238685i | \(0.0767164\pi\) | |||||||
\(458\) | −8.28387 | + | 5.32372i | −0.387080 | + | 0.248761i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.64127 | + | 7.59479i | −0.216400 | + | 0.354109i | ||||
\(461\) | −18.6186 | −0.867156 | −0.433578 | − | 0.901116i | \(-0.642749\pi\) | ||||
−0.433578 | + | 0.901116i | \(0.642749\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.57410 | − | 10.9481i | 0.0731545 | − | 0.508801i | −0.919993 | − | 0.391935i | \(-0.871806\pi\) |
0.993148 | − | 0.116866i | \(-0.0372849\pi\) | |||||||
\(464\) | 0.0455430 | − | 0.0997253i | 0.00211428 | − | 0.00462963i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.921318 | + | 2.01741i | 0.0426793 | + | 0.0934545i | ||||
\(467\) | −15.5954 | − | 17.9980i | −0.721669 | − | 0.832850i | 0.269838 | − | 0.962906i | \(-0.413030\pi\) |
−0.991507 | + | 0.130056i | \(0.958484\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.6400 | + | 4.00506i | 0.629836 | + | 0.184937i | ||||
\(470\) | 3.97639 | − | 4.58899i | 0.183417 | − | 0.211675i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.09382 | + | 1.34562i | 0.0963759 | + | 0.0619371i | ||||
\(473\) | −1.46327 | + | 1.68871i | −0.0672813 | + | 0.0776468i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.432097 | − | 3.00530i | −0.0198260 | − | 0.137893i | ||||
\(476\) | 14.4871 | + | 16.7191i | 0.664017 | + | 0.766316i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.5400 | + | 3.38846i | −0.527829 | + | 0.154984i | ||||
\(479\) | −9.71459 | + | 21.2720i | −0.443871 | + | 0.971942i | 0.547001 | + | 0.837132i | \(0.315770\pi\) |
−0.990872 | + | 0.134810i | \(0.956958\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.1230 | − | 6.50568i | 0.461570 | − | 0.296633i | ||||
\(482\) | −17.2838 | −0.787256 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.35397 | −0.288817 | ||||||||
\(485\) | −10.3847 | + | 6.67383i | −0.471544 | + | 0.303043i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.87931 | + | 12.8739i | −0.266417 | + | 0.583372i | −0.994806 | − | 0.101792i | \(-0.967542\pi\) |
0.728389 | + | 0.685164i | \(0.240270\pi\) | |||||||
\(488\) | 6.06566 | − | 1.78104i | 0.274580 | − | 0.0806239i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −9.84687 | − | 11.3639i | −0.444836 | − | 0.513368i | ||||
\(491\) | −0.835757 | − | 5.81282i | −0.0377172 | − | 0.262329i | 0.962234 | − | 0.272224i | \(-0.0877592\pi\) |
−0.999951 | + | 0.00989541i | \(0.996850\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.408701 | − | 0.471666i | 0.0184070 | − | 0.0212428i | ||||
\(494\) | 11.4273 | + | 7.34387i | 0.514138 | + | 0.330416i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.58440 | − | 6.44475i | 0.250747 | − | 0.289378i | ||||
\(497\) | −2.12005 | − | 0.622502i | −0.0950971 | − | 0.0279230i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.558955 | − | 0.645068i | −0.0250223 | − | 0.0288772i | 0.743101 | − | 0.669180i | \(-0.233354\pi\) |
−0.768123 | + | 0.640303i | \(0.778809\pi\) | |||||||
\(500\) | −5.05419 | − | 11.0671i | −0.226030 | − | 0.494937i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.10943 | + | 2.42931i | −0.0495163 | + | 0.108426i | ||||
\(503\) | 4.10013 | − | 28.5170i | 0.182816 | − | 1.27151i | −0.667250 | − | 0.744834i | \(-0.732529\pi\) |
0.850065 | − | 0.526677i | \(-0.176562\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.1185 | −0.717266 | ||||||||
\(506\) | −9.49793 | − | 4.08020i | −0.422234 | − | 0.181387i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.37135 | + | 6.02260i | −0.415786 | + | 0.267210i | ||||
\(509\) | −2.40455 | + | 16.7240i | −0.106580 | + | 0.741277i | 0.864519 | + | 0.502600i | \(0.167623\pi\) |
−0.971099 | + | 0.238678i | \(0.923286\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −52.0196 | + | 15.2743i | −2.30121 | + | 0.675697i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.16056 | − | 28.9374i | −0.183515 | − | 1.27637i | ||||
\(515\) | −16.6672 | − | 4.89392i | −0.734443 | − | 0.215652i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.93264 | + | 3.81267i | 0.260917 | + | 0.167681i | ||||
\(518\) | −5.65272 | − | 3.63278i | −0.248366 | − | 0.159615i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 12.3928 | + | 3.63887i | 0.543462 | + | 0.159575i | ||||
\(521\) | 0.639077 | + | 4.44488i | 0.0279985 | + | 0.194734i | 0.999020 | − | 0.0442577i | \(-0.0140923\pi\) |
−0.971022 | + | 0.238992i | \(0.923183\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.80446 | + | 10.5203i | 0.210084 | + | 0.460020i | 0.985114 | − | 0.171905i | \(-0.0549922\pi\) |
−0.775029 | + | 0.631925i | \(0.782265\pi\) | |||||||
\(524\) | −12.9329 | + | 3.79744i | −0.564976 | + | 0.165892i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.66485 | − | 11.5793i | 0.0725909 | − | 0.504881i | ||||
\(527\) | 40.8387 | − | 26.2454i | 1.77896 | − | 1.14327i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.8334 | + | 16.6824i | 0.688410 | + | 0.725322i | ||||
\(530\) | 20.4128 | 0.886676 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.07948 | − | 7.50792i | 0.0468012 | − | 0.325510i | ||||
\(533\) | 23.7792 | − | 52.0692i | 1.02999 | − | 2.25537i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.79980 | − | 3.94101i | −0.0778122 | − | 0.170385i | ||||
\(536\) | 2.39555 | + | 2.76461i | 0.103472 | + | 0.119413i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.7624 | + | 6.68363i | 0.981355 | + | 0.288152i | ||||
\(539\) | 11.4361 | − | 13.1980i | 0.492589 | − | 0.568478i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.8837 | − | 15.9918i | −1.06983 | − | 0.687539i | −0.117645 | − | 0.993056i | \(-0.537534\pi\) |
−0.952187 | + | 0.305517i | \(0.901171\pi\) | |||||||
\(542\) | 10.9032 | − | 12.5830i | 0.468334 | − | 0.540486i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.810154 | + | 5.63474i | 0.0347350 | + | 0.241588i | ||||
\(545\) | −9.82022 | − | 11.3331i | −0.420652 | − | 0.485458i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.1886 | − | 5.63427i | 0.820444 | − | 0.240904i | 0.155537 | − | 0.987830i | \(-0.450289\pi\) |
0.664907 | + | 0.746926i | \(0.268471\pi\) | |||||||
\(548\) | −2.51186 | + | 5.50020i | −0.107301 | + | 0.234957i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.82067 | − | 1.81274i | 0.120274 | − | 0.0772954i | ||||
\(551\) | −0.213986 | −0.00911612 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −56.9196 | −2.42047 | ||||||||
\(554\) | 7.40462 | − | 4.75866i | 0.314592 | − | 0.202176i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.802540 | + | 1.75732i | −0.0340353 | + | 0.0745269i | ||||
\(557\) | −14.2834 | + | 4.19399i | −0.605208 | + | 0.177705i | −0.569959 | − | 0.821673i | \(-0.693041\pi\) |
−0.0352494 | + | 0.999379i | \(0.511223\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.72448 | − | 5.45234i | −0.199824 | − | 0.230609i | ||||
\(560\) | −1.02642 | − | 7.13893i | −0.0433743 | − | 0.301675i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.617415 | − | 0.712535i | 0.0260441 | − | 0.0300565i | ||||
\(563\) | 3.69059 | + | 2.37180i | 0.155540 | + | 0.0999595i | 0.616096 | − | 0.787671i | \(-0.288713\pi\) |
−0.460556 | + | 0.887631i | \(0.652350\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.5464 | + | 12.1712i | −0.443691 | + | 0.512046i | ||||
\(566\) | 11.2194 | + | 3.29433i | 0.471589 | + | 0.138471i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.372337 | − | 0.429700i | −0.0156229 | − | 0.0180298i | ||||
\(569\) | −1.65647 | − | 3.62716i | −0.0694427 | − | 0.152058i | 0.871728 | − | 0.489991i | \(-0.163000\pi\) |
−0.941170 | + | 0.337932i | \(0.890273\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.2072 | − | 26.7300i | 0.510855 | − | 1.11862i | −0.461932 | − | 0.886915i | \(-0.652844\pi\) |
0.972787 | − | 0.231701i | \(-0.0744292\pi\) | |||||||
\(572\) | −2.13482 | + | 14.8480i | −0.0892612 | + | 0.620825i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −31.9641 | −1.33415 | ||||||||
\(575\) | −7.35831 | + | 1.22865i | −0.306863 | + | 0.0512381i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.1425 | − | 6.51818i | 0.422237 | − | 0.271355i | −0.312221 | − | 0.950010i | \(-0.601073\pi\) |
0.734458 | + | 0.678654i | \(0.237436\pi\) | |||||||
\(578\) | −2.19260 | + | 15.2499i | −0.0912000 | + | 0.634310i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.195227 | + | 0.0573240i | −0.00810638 | + | 0.00238025i | ||||
\(581\) | −16.6833 | − | 36.5314i | −0.692141 | − | 1.51558i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.37391 | + | 23.4661i | 0.139733 | + | 0.971866i | ||||
\(584\) | −13.3860 | − | 3.93048i | −0.553916 | − | 0.162645i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 24.7179 | + | 15.8852i | 1.02109 | + | 0.656213i | ||||
\(587\) | −10.9528 | − | 7.03894i | −0.452071 | − | 0.290528i | 0.294724 | − | 0.955582i | \(-0.404772\pi\) |
−0.746795 | + | 0.665054i | \(0.768408\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.9704 | − | 4.68933i | −0.658049 | − | 0.193221i | ||||
\(590\) | −0.657389 | − | 4.57224i | −0.0270643 | − | 0.188236i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.718284 | − | 1.57282i | −0.0295213 | − | 0.0646426i | ||||
\(593\) | 2.83339 | − | 0.831957i | 0.116353 | − | 0.0341644i | −0.223038 | − | 0.974810i | \(-0.571597\pi\) |
0.339391 | + | 0.940645i | \(0.389779\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.84310 | − | 40.6397i | 0.239544 | − | 1.66606i | ||||
\(596\) | 10.7428 | − | 6.90400i | 0.440044 | − | 0.282799i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 17.4039 | − | 28.4791i | 0.711699 | − | 1.16460i | ||||
\(599\) | −24.7280 | −1.01036 | −0.505179 | − | 0.863015i | \(-0.668574\pi\) | ||||
−0.505179 | + | 0.863015i | \(0.668574\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.95561 | − | 20.5567i | 0.120562 | − | 0.838525i | −0.836360 | − | 0.548180i | \(-0.815321\pi\) |
0.956922 | − | 0.290345i | \(-0.0937700\pi\) | |||||||
\(602\) | −1.67353 | + | 3.66452i | −0.0682081 | + | 0.149355i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.19904 | + | 4.81523i | 0.0894777 | + | 0.195929i | ||||
\(605\) | 7.72243 | + | 8.91216i | 0.313961 | + | 0.362331i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.3134 | − | 8.60719i | −1.18979 | − | 0.349355i | −0.373851 | − | 0.927489i | \(-0.621963\pi\) |
−0.815942 | + | 0.578134i | \(0.803781\pi\) | |||||||
\(608\) | 1.27819 | − | 1.47511i | 0.0518374 | − | 0.0598236i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.87013 | − | 6.34315i | −0.399630 | − | 0.256827i | ||||
\(611\) | −14.9107 | + | 17.2079i | −0.603223 | + | 0.696157i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.16868 | + | 22.0386i | 0.127982 | + | 0.890133i | 0.948108 | + | 0.317949i | \(0.102994\pi\) |
−0.820126 | + | 0.572183i | \(0.806097\pi\) | |||||||
\(614\) | −1.49815 | − | 1.72896i | −0.0604604 | − | 0.0697751i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.03710 | − | 2.35990i | 0.323824 | − | 0.0950833i | ||||
\(617\) | 6.02311 | − | 13.1888i | 0.242481 | − | 0.530960i | −0.748789 | − | 0.662809i | \(-0.769364\pi\) |
0.991270 | + | 0.131849i | \(0.0420915\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.4184 | + | 8.62351i | −0.539333 | + | 0.346608i | −0.781778 | − | 0.623557i | \(-0.785687\pi\) |
0.242445 | + | 0.970165i | \(0.422051\pi\) | |||||||
\(620\) | −15.8266 | −0.635611 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.1401 | 0.446677 | ||||||||
\(623\) | −16.7758 | + | 10.7811i | −0.672106 | + | 0.431937i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.14917 | + | 13.4648i | −0.245967 | + | 0.538592i | ||||
\(626\) | −16.8630 | + | 4.95142i | −0.673980 | + | 0.197898i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.99377 | + | 4.60905i | 0.159369 | + | 0.183921i | ||||
\(629\) | −1.40082 | − | 9.74289i | −0.0558542 | − | 0.388475i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.1810 | − | 22.1361i | 0.763584 | − | 0.881222i | −0.232227 | − | 0.972662i | \(-0.574601\pi\) |
0.995811 | + | 0.0914391i | \(0.0291467\pi\) | |||||||
\(632\) | −12.3217 | − | 7.91870i | −0.490132 | − | 0.314989i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.98162 | − | 5.74909i | 0.197845 | − | 0.228326i | ||||
\(635\) | 19.8370 | + | 5.82468i | 0.787208 | + | 0.231145i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 36.9239 | + | 42.6125i | 1.46298 | + | 1.68837i | ||||
\(638\) | −0.0981663 | − | 0.214954i | −0.00388644 | − | 0.00851012i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.770978 | − | 1.68821i | 0.0304756 | − | 0.0667322i | ||||
\(641\) | −1.97160 | + | 13.7128i | −0.0778735 | + | 0.541622i | 0.913118 | + | 0.407696i | \(0.133668\pi\) |
−0.990991 | + | 0.133926i | \(0.957241\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.6577 | 0.854097 | 0.427048 | − | 0.904229i | \(-0.359553\pi\) | ||||
0.427048 | + | 0.904229i | \(0.359553\pi\) | |||||||
\(644\) | −18.5028 | − | 2.23390i | −0.729113 | − | 0.0880281i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 9.34739 | − | 6.00720i | 0.367768 | − | 0.236350i | ||||
\(647\) | 1.88070 | − | 13.0806i | 0.0739381 | − | 0.514251i | −0.918872 | − | 0.394555i | \(-0.870899\pi\) |
0.992811 | − | 0.119696i | \(-0.0381921\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.14749 | − | 1.51144i | 0.202057 | − | 0.0593292i | ||||
\(650\) | 4.49715 | + | 9.84738i | 0.176393 | + | 0.386246i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.312860 | − | 2.17599i | −0.0122526 | − | 0.0852184i | ||||
\(653\) | 1.32064 | + | 0.387774i | 0.0516806 | + | 0.0151748i | 0.307471 | − | 0.951558i | \(-0.400517\pi\) |
−0.255790 | + | 0.966732i | \(0.582336\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.0446 | + | 13.5245i | 0.822280 | + | 0.528447i | ||||
\(656\) | −6.91946 | − | 4.44687i | −0.270160 | − | 0.173621i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 12.1994 | + | 3.58207i | 0.475582 | + | 0.139643i | ||||
\(659\) | 0.897828 | + | 6.24453i | 0.0349744 | + | 0.243253i | 0.999808 | − | 0.0196101i | \(-0.00624249\pi\) |
−0.964833 | + | 0.262863i | \(0.915333\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.03841 | + | 2.27381i | 0.0403897 | + | 0.0884410i | 0.928751 | − | 0.370703i | \(-0.120883\pi\) |
−0.888362 | + | 0.459144i | \(0.848156\pi\) | |||||||
\(662\) | −18.0608 | + | 5.30313i | −0.701953 | + | 0.206112i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.47073 | − | 10.2292i | 0.0570755 | − | 0.396969i | ||||
\(665\) | −11.8427 | + | 7.61082i | −0.459239 | + | 0.295135i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0119069 | + | 0.525644i | 0.000461036 | + | 0.0203530i | ||||
\(668\) | 18.5061 | 0.716024 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.966197 | − | 6.72004i | 0.0373274 | − | 0.259618i | ||||
\(671\) | 5.66056 | − | 12.3949i | 0.218524 | − | 0.478500i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.76124 | − | 3.85657i | −0.0678907 | − | 0.148660i | 0.872645 | − | 0.488356i | \(-0.162403\pi\) |
−0.940535 | + | 0.339696i | \(0.889676\pi\) | |||||||
\(674\) | 8.68956 | + | 10.0283i | 0.334709 | + | 0.386275i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −33.9975 | − | 9.98256i | −1.30760 | − | 0.383945i | ||||
\(677\) | 24.8481 | − | 28.6762i | 0.954990 | − | 1.10212i | −0.0397010 | − | 0.999212i | \(-0.512641\pi\) |
0.994691 | − | 0.102906i | \(-0.0328140\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −21.7445 | − | 13.9744i | −0.834479 | − | 0.536287i | ||||
\(680\) | 6.91872 | − | 7.98463i | 0.265321 | − | 0.306197i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.61589 | − | 18.1939i | −0.100167 | − | 0.696680i | ||||
\(683\) | 30.9769 | + | 35.7493i | 1.18530 | + | 1.36791i | 0.914153 | + | 0.405370i | \(0.132857\pi\) |
0.271147 | + | 0.962538i | \(0.412597\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7675 | − | 3.16162i | 0.411405 | − | 0.120799i | ||||
\(686\) | 1.77894 | − | 3.89533i | 0.0679201 | − | 0.148724i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.872092 | + | 0.560459i | −0.0332482 | + | 0.0213673i | ||||
\(689\) | −76.5443 | −2.91610 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −31.2607 | −1.18921 | −0.594607 | − | 0.804017i | \(-0.702692\pi\) | ||||
−0.594607 | + | 0.804017i | \(0.702692\pi\) | |||||||
\(692\) | 19.2766 | − | 12.3883i | 0.732786 | − | 0.470933i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.334046 | − | 0.731458i | 0.0126802 | − | 0.0277658i | ||||
\(695\) | 3.44022 | − | 1.01014i | 0.130495 | − | 0.0383168i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −30.6628 | − | 35.3867i | −1.16144 | − | 1.34037i | ||||
\(698\) | −1.59863 | − | 11.1187i | −0.0605091 | − | 0.420850i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.95868 | − | 4.56856i | 0.149624 | − | 0.172675i | ||||
\(701\) | −29.2493 | − | 18.7974i | −1.10473 | − | 0.709967i | −0.144591 | − | 0.989491i | \(-0.546187\pi\) |
−0.960138 | + | 0.279525i | \(0.909823\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.21009 | + | 2.55058i | −0.0833550 | + | 0.0961968i | ||||
\(704\) | 2.06815 | + | 0.607265i | 0.0779465 | + | 0.0228871i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.16915 | + | 1.34927i | 0.0440015 | + | 0.0507805i | ||||
\(707\) | −14.0205 | − | 30.7007i | −0.527297 | − | 1.15462i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.46658 | + | 9.78045i | −0.167746 | + | 0.367312i | −0.974772 | − | 0.223204i | \(-0.928348\pi\) |
0.807026 | + | 0.590516i | \(0.201076\pi\) | |||||||
\(710\) | −0.150175 | + | 1.04449i | −0.00563596 | + | 0.0391990i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.13143 | −0.192309 | ||||||||
\(713\) | −10.6304 | + | 39.4913i | −0.398113 | + | 1.47896i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 23.4206 | − | 15.0515i | 0.875879 | − | 0.562893i | ||||
\(716\) | −0.141498 | + | 0.984141i | −0.00528803 | + | 0.0367791i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −23.2504 | + | 6.82692i | −0.867696 | + | 0.254779i | ||||
\(719\) | −13.8708 | − | 30.3727i | −0.517292 | − | 1.13271i | −0.970455 | − | 0.241284i | \(-0.922431\pi\) |
0.453162 | − | 0.891428i | \(-0.350296\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.17639 | − | 36.0026i | −0.192779 | − | 1.34081i | ||||
\(722\) | 14.5750 | + | 4.27960i | 0.542424 | + | 0.159270i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.04469 | − | 4.52735i | −0.261814 | − | 0.168258i | ||||
\(725\) | −0.143467 | − | 0.0922005i | −0.00532822 | − | 0.00342424i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.75305 | + | 2.86375i | 0.361721 | + | 0.106211i | 0.457543 | − | 0.889188i | \(-0.348730\pi\) |
−0.0958219 | + | 0.995398i | \(0.530548\pi\) | |||||||
\(728\) | 3.84890 | + | 26.7697i | 0.142650 | + | 0.992150i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.7560 | + | 23.5524i | 0.398097 | + | 0.871712i | ||||
\(731\) | −5.66232 | + | 1.66261i | −0.209428 | + | 0.0614937i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.31365 | − | 43.9124i | 0.233200 | − | 1.62194i | −0.450915 | − | 0.892567i | \(-0.648902\pi\) |
0.684115 | − | 0.729374i | \(-0.260189\pi\) | |||||||
\(734\) | −1.37153 | + | 0.881432i | −0.0506243 | + | 0.0325342i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.69464 | − | 3.05772i | −0.136186 | − | 0.112709i | ||||
\(737\) | 7.88491 | 0.290444 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.82504 | + | 12.6935i | −0.0671353 | + | 0.466937i | 0.928326 | + | 0.371768i | \(0.121248\pi\) |
−0.995461 | + | 0.0951689i | \(0.969661\pi\) | |||||||
\(740\) | −1.33308 | + | 2.91904i | −0.0490050 | + | 0.107306i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 17.7559 | + | 38.8799i | 0.651838 | + | 1.42733i | ||||
\(743\) | 18.0493 | + | 20.8300i | 0.662165 | + | 0.764180i | 0.983129 | − | 0.182912i | \(-0.0585523\pi\) |
−0.320964 | + | 0.947091i | \(0.604007\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.7402 | − | 6.67711i | −0.833135 | − | 0.244631i | ||||
\(746\) | 1.48439 | − | 1.71307i | 0.0543472 | − | 0.0627200i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.3225 | + | 6.63387i | 0.377428 | + | 0.242558i | ||||
\(749\) | 5.94084 | − | 6.85610i | 0.217074 | − | 0.250516i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.52158 | − | 17.5380i | −0.0920137 | − | 0.639969i | −0.982680 | − | 0.185311i | \(-0.940671\pi\) |
0.890666 | − | 0.454658i | \(-0.150238\pi\) | |||||||
\(752\) | 2.14254 | + | 2.47262i | 0.0781304 | + | 0.0901673i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.732067 | − | 0.214954i | 0.0266603 | − | 0.00782817i | ||||
\(755\) | 4.08125 | − | 8.93669i | 0.148532 | − | 0.325239i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.95768 | + | 4.47143i | −0.252881 | + | 0.162517i | −0.660940 | − | 0.750439i | \(-0.729842\pi\) |
0.408059 | + | 0.912956i | \(0.366206\pi\) | |||||||
\(758\) | 7.11053 | 0.258266 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.62248 | −0.131401 | ||||||||
\(761\) | 13.5041 | − | 8.67855i | 0.489523 | − | 0.314597i | −0.272491 | − | 0.962158i | \(-0.587847\pi\) |
0.762013 | + | 0.647561i | \(0.224211\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 13.0440 | − | 28.5624i | 0.472225 | − | 1.03403i | ||||
\(764\) | −22.9375 | + | 6.73507i | −0.829851 | + | 0.243666i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 24.5315 | + | 28.3108i | 0.886358 | + | 1.02291i | ||||
\(767\) | 2.46509 | + | 17.1451i | 0.0890092 | + | 0.619073i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.0848 | + | 19.7170i | −0.616095 | + | 0.711012i | −0.974961 | − | 0.222377i | \(-0.928618\pi\) |
0.358865 | + | 0.933389i | \(0.383164\pi\) | |||||||
\(770\) | −13.0781 | − | 8.40477i | −0.471301 | − | 0.302887i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.1732 | + | 11.7405i | −0.366141 | + | 0.422550i | ||||
\(773\) | 27.4217 | + | 8.05173i | 0.986289 | + | 0.289601i | 0.734818 | − | 0.678264i | \(-0.237268\pi\) |
0.251471 | + | 0.967865i | \(0.419086\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.68684 | − | 10.0252i | −0.312041 | − | 0.360114i | ||||
\(776\) | −2.76305 | − | 6.05024i | −0.0991877 | − | 0.217191i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.446767 | + | 0.978282i | −0.0160174 | + | 0.0350731i | ||||
\(779\) | −2.28477 | + | 15.8909i | −0.0818603 | + | 0.569351i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.22554 | −0.0438533 | ||||||||
\(782\) | −15.2765 | − | 22.6270i | −0.546285 | − | 0.809142i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.81579 | − | 4.38024i | 0.243421 | − | 0.156437i | ||||
\(785\) | 1.61081 | − | 11.2034i | 0.0574922 | − | 0.399867i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −49.8749 | + | 14.6446i | −1.77785 | + | 0.522023i | −0.994972 | − | 0.100156i | \(-0.968066\pi\) |
−0.782875 | + | 0.622179i | \(0.786248\pi\) | |||||||
\(788\) | 7.16907 | + | 15.6981i | 0.255388 | + | 0.559221i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.86861 | + | 26.9068i | 0.137639 | + | 0.957300i | ||||
\(791\) | −32.3560 | − | 9.50057i | −1.15045 | − | 0.337801i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 37.0112 | + | 23.7856i | 1.31431 | + | 0.844653i | ||||
\(794\) | 10.0516 | + | 6.45974i | 0.356716 | + | 0.229248i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.2442 | + | 6.23786i | 0.752980 | + | 0.221095i | ||||
\(797\) | 6.09049 | + | 42.3603i | 0.215736 | + | 1.50048i | 0.753536 | + | 0.657406i | \(0.228346\pi\) |
−0.537800 | + | 0.843072i | \(0.680744\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.73712 | + | 16.9419i | 0.273720 | + | 0.599362i | ||||
\(800\) | 1.49254 | − | 0.438250i | 0.0527694 | − | 0.0154945i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.23870 | + | 29.4808i | −0.149674 | + | 1.04100i | ||||
\(803\) | −25.2974 | + | 16.2577i | −0.892728 | + | 0.573721i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 19.3545 | + | 28.6673i | 0.682156 | + | 1.01039i | ||||
\(806\) | 59.3468 | 2.09040 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.23599 | − | 8.59652i | 0.0434821 | − | 0.302425i | ||||
\(809\) | 3.41357 | − | 7.47467i | 0.120015 | − | 0.262795i | −0.840084 | − | 0.542456i | \(-0.817495\pi\) |
0.960099 | + | 0.279660i | \(0.0902219\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.7657 | + | 23.5736i | 0.378035 | + | 0.827782i | 0.999033 | + | 0.0439694i | \(0.0140004\pi\) |
−0.620998 | + | 0.783813i | \(0.713272\pi\) | |||||||
\(812\) | −0.279000 | − | 0.321984i | −0.00979100 | − | 0.0112994i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.57599 | − | 1.05001i | −0.125338 | − | 0.0368027i | ||||
\(815\) | −2.67183 | + | 3.08346i | −0.0935901 | + | 0.108009i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.70219 | + | 1.09393i | 0.0595522 | + | 0.0382718i | ||||
\(818\) | 18.6223 | − | 21.4913i | 0.651113 | − | 0.751425i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.17248 | + | 15.1099i | 0.0758662 | + | 0.527661i | ||||
\(821\) | −12.1733 | − | 14.0488i | −0.424852 | − | 0.490305i | 0.502457 | − | 0.864602i | \(-0.332429\pi\) |
−0.927309 | + | 0.374297i | \(0.877884\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 10.2202 | − | 3.00091i | 0.356253 | − | 0.104605i | −0.0987088 | − | 0.995116i | \(-0.531471\pi\) |
0.454961 | + | 0.890511i | \(0.349653\pi\) | |||||||
\(824\) | 3.88814 | − | 8.51385i | 0.135450 | − | 0.296594i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.13685 | − | 5.22923i | 0.283117 | − | 0.181948i | ||||
\(827\) | 26.5475 | 0.923148 | 0.461574 | − | 0.887102i | \(-0.347285\pi\) | ||||
0.461574 | + | 0.887102i | \(0.347285\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.30529 | 0.184260 | 0.0921301 | − | 0.995747i | \(-0.470632\pi\) | ||||
0.0921301 | + | 0.995747i | \(0.470632\pi\) | |||||||
\(830\) | −16.1350 | + | 10.3694i | −0.560056 | + | 0.359926i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.89102 | + | 6.33046i | −0.100228 | + | 0.219469i | ||||
\(833\) | 44.2536 | − | 12.9940i | 1.53330 | − | 0.450216i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −22.4918 | − | 25.9569i | −0.778361 | − | 0.898277i | ||||
\(836\) | −0.598739 | − | 4.16432i | −0.0207078 | − | 0.144026i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 21.4724 | − | 24.7805i | 0.741752 | − | 0.856027i | ||||
\(839\) | 46.4479 | + | 29.8502i | 1.60356 | + | 1.03054i | 0.965447 | + | 0.260601i | \(0.0839207\pi\) |
0.638112 | + | 0.769944i | \(0.279716\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.9831 | − | 21.9077i | 0.654589 | − | 0.755436i | ||||
\(842\) | 34.1100 | + | 10.0156i | 1.17551 | + | 0.345160i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 14.2330 | + | 16.4258i | 0.489920 | + | 0.565398i | ||||
\(845\) | 27.3179 | + | 59.8178i | 0.939763 | + | 2.05779i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.2576 | + | 22.4609i | −0.352454 | + | 0.771766i | ||||
\(848\) | −1.56528 | + | 10.8868i | −0.0537521 | + | 0.373854i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 8.85528 | 0.303734 | ||||||||
\(851\) | 6.38831 | + | 5.28702i | 0.218989 | + | 0.181237i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −35.3409 | + | 22.7122i | −1.21005 | + | 0.777651i | −0.980667 | − | 0.195686i | \(-0.937307\pi\) |
−0.229382 | + | 0.973337i | \(0.573670\pi\) | |||||||
\(854\) | 3.49626 | − | 24.3170i | 0.119639 | − | 0.832110i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.23988 | − | 0.657687i | 0.0765574 | − | 0.0224793i | ||||
\(857\) | −16.7460 | − | 36.6686i | −0.572032 | − | 1.25258i | −0.945708 | − | 0.325016i | \(-0.894630\pi\) |
0.373676 | − | 0.927559i | \(-0.378097\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.822115 | + | 5.71794i | 0.0280502 | + | 0.195093i | 0.999028 | − | 0.0440753i | \(-0.0140342\pi\) |
−0.970978 | + | 0.239169i | \(0.923125\pi\) | |||||||
\(860\) | 1.84602 | + | 0.542041i | 0.0629488 | + | 0.0184834i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 23.2995 | + | 14.9737i | 0.793585 | + | 0.510006i | ||||
\(863\) | −12.7377 | − | 8.18600i | −0.433595 | − | 0.278655i | 0.305582 | − | 0.952166i | \(-0.401149\pi\) |
−0.739177 | + | 0.673511i | \(0.764785\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −40.8042 | − | 11.9812i | −1.38738 | − | 0.407373i | ||||
\(866\) | 3.38354 | + | 23.5331i | 0.114977 | + | 0.799686i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.7666 | − | 30.1446i | −0.467269 | − | 1.02318i | ||||
\(869\) | −30.2920 | + | 8.89453i | −1.02759 | + | 0.301726i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.62306 | + | 25.1989i | −0.122763 | + | 0.853833i | ||||
\(872\) | 6.79735 | − | 4.36839i | 0.230187 | − | 0.147932i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.43315 | + | 9.03898i | −0.0823026 | + | 0.305748i | ||||
\(875\) | −47.2809 | −1.59839 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.64024 | + | 32.2736i | −0.156690 | + | 1.08980i | 0.747990 | + | 0.663710i | \(0.231019\pi\) |
−0.904680 | + | 0.426091i | \(0.859890\pi\) | |||||||
\(878\) | 14.0051 | − | 30.6669i | 0.472649 | − | 1.03496i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.66182 | − | 3.63887i | −0.0560198 | − | 0.122666i | ||||
\(881\) | 2.92223 | + | 3.37243i | 0.0984524 | + | 0.113620i | 0.802838 | − | 0.596198i | \(-0.203323\pi\) |
−0.704385 | + | 0.709818i | \(0.748777\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.8754 | + | 7.59771i | 0.870778 | + | 0.255683i | 0.686446 | − | 0.727181i | \(-0.259170\pi\) |
0.184332 | + | 0.982864i | \(0.440988\pi\) | |||||||
\(884\) | −25.9439 | + | 29.9409i | −0.872589 | + | 1.00702i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.0791 | − | 6.47747i | −0.338615 | − | 0.217615i | ||||
\(887\) | 22.4135 | − | 25.8665i | 0.752570 | − | 0.868513i | −0.242244 | − | 0.970215i | \(-0.577884\pi\) |
0.994815 | + | 0.101703i | \(0.0324290\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.16087 | + | 42.8498i | 0.206629 | + | 1.43714i | ||||
\(890\) | 6.23659 | + | 7.19741i | 0.209051 | + | 0.241258i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −17.5059 | + | 5.14019i | −0.586140 | + | 0.172106i | ||||
\(893\) | 2.65282 | − | 5.80887i | 0.0887734 | − | 0.194387i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.55234 | − | 0.997629i | 0.0518890 | − | 0.0333471i | ||||
\(896\) | 3.88612 | 0.129826 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.721325 | 0.0240709 | ||||||||
\(899\) | −0.786492 | + | 0.505448i | −0.0262310 | + | 0.0168576i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −26.0101 | + | 56.9542i | −0.866523 | + | 1.89742i | ||||
\(902\) | −17.0109 | + | 4.99486i | −0.566402 | + | 0.166311i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.68257 | − | 6.55804i | −0.189000 | − | 0.218117i | ||||
\(905\) | 2.21180 | + | 15.3834i | 0.0735226 | + | 0.511361i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.2630 | − | 26.8469i | 0.772434 | − | 0.891436i | −0.224105 | − | 0.974565i | \(-0.571946\pi\) |
0.996539 | + | 0.0831290i | \(0.0264914\pi\) | |||||||
\(908\) | −3.62045 | − | 2.32672i | −0.120149 | − | 0.0772150i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 32.8696 | − | 37.9336i | 1.08962 | − | 1.25749i | ||||
\(911\) | 16.1581 | + | 4.74446i | 0.535343 | + | 0.157191i | 0.538219 | − | 0.842805i | \(-0.319097\pi\) |
−0.00287613 | + | 0.999996i | \(0.500916\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.5873 | − | 16.8346i | −0.482768 | − | 0.557144i | ||||
\(914\) | 1.74155 | + | 3.81347i | 0.0576054 | + | 0.126138i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.09062 | + | 8.95720i | −0.135158 | + | 0.295954i | ||||
\(917\) | −7.45453 | + | 51.8474i | −0.246170 | + | 1.71215i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.06801 | 0.101204 | 0.0506021 | − | 0.998719i | \(-0.483886\pi\) | ||||
0.0506021 | + | 0.998719i | \(0.483886\pi\) | |||||||
\(920\) | 0.201566 | + | 8.89841i | 0.00664545 | + | 0.293372i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.6630 | + | 10.0660i | −0.515833 | + | 0.331506i | ||||
\(923\) | 0.563128 | − | 3.91664i | 0.0185356 | − | 0.128918i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.58072 | + | 0.757768i | −0.0848536 | + | 0.0249153i | ||||
\(926\) | −4.59477 | − | 10.0611i | −0.150993 | − | 0.330630i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.0156023 | − | 0.108517i | −0.000512172 | − | 0.00356223i | ||||
\(929\) | 17.2466 | + | 5.06406i | 0.565842 | + | 0.166146i | 0.552128 | − | 0.833760i | \(-0.313816\pi\) |
0.0137147 | + | 0.999906i | \(0.495634\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.3034 | − | 8.54958i | −0.436001 | − | 0.280201i | ||||
\(932\) | 1.86575 | + | 1.19905i | 0.0611148 | + | 0.0392761i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −22.8502 | − | 6.70941i | −0.747680 | − | 0.219539i | ||||
\(935\) | −3.24092 | − | 22.5411i | −0.105989 | − | 0.737172i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.8049 | − | 43.3666i | −0.646997 | − | 1.41673i | −0.894158 | − | 0.447752i | \(-0.852225\pi\) |
0.247161 | − | 0.968974i | \(-0.420502\pi\) | |||||||
\(938\) | 13.6400 | − | 4.00506i | 0.445361 | − | 0.130770i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.864151 | − | 6.01031i | 0.0281855 | − | 0.196035i | ||||
\(941\) | −43.2692 | + | 27.8074i | −1.41054 | + | 0.906497i | −0.999986 | − | 0.00534126i | \(-0.998300\pi\) |
−0.410551 | + | 0.911838i | \(0.634663\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 39.1622 | + | 4.72817i | 1.27530 | + | 0.153971i | ||||
\(944\) | 2.48893 | 0.0810078 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.318000 | + | 2.21174i | −0.0103391 | + | 0.0719097i | ||||
\(947\) | −17.1709 | + | 37.5990i | −0.557979 | + | 1.22180i | 0.394976 | + | 0.918691i | \(0.370753\pi\) |
−0.952955 | + | 0.303112i | \(0.901975\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −40.3330 | − | 88.3170i | −1.30927 | − | 2.86689i | ||||
\(950\) | −1.98829 | − | 2.29461i | −0.0645087 | − | 0.0744471i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 21.2264 | + | 6.23262i | 0.687950 | + | 0.202000i | ||||
\(953\) | −0.619591 | + | 0.715046i | −0.0200705 | + | 0.0231626i | −0.765696 | − | 0.643203i | \(-0.777605\pi\) |
0.745626 | + | 0.666365i | \(0.232151\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 37.3243 | + | 23.9869i | 1.20779 | + | 0.776197i | ||||
\(956\) | −7.87615 | + | 9.08956i | −0.254733 | + | 0.293977i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.32807 | + | 23.1472i | 0.107525 | + | 0.747853i | ||||
\(959\) | 15.3879 | + | 17.7585i | 0.496900 | + | 0.573453i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −40.0304 | + | 11.7540i | −1.29130 | + | 0.379160i | ||||
\(962\) | 4.99880 | − | 10.9458i | 0.161168 | − | 0.352908i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.5401 | + | 9.34433i | −0.468304 | + | 0.300961i | ||||
\(965\) | 28.8316 | 0.928121 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 51.3969 | 1.65281 | 0.826407 | − | 0.563074i | \(-0.190381\pi\) | ||||
0.826407 | + | 0.563074i | \(0.190381\pi\) | |||||||
\(968\) | −5.34530 | + | 3.43522i | −0.171804 | + | 0.110412i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.12801 | + | 11.2288i | −0.164650 | + | 0.360534i | ||||
\(971\) | 8.42596 | − | 2.47408i | 0.270402 | − | 0.0793971i | −0.143721 | − | 0.989618i | \(-0.545907\pi\) |
0.414122 | + | 0.910221i | \(0.364089\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.91643 | + | 5.67386i | 0.157614 | + | 0.181896i | ||||
\(974\) | 2.01416 | + | 14.0088i | 0.0645379 | + | 0.448871i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.13986 | − | 4.77765i | 0.132514 | − | 0.152929i | ||||
\(977\) | −13.6562 | − | 8.77632i | −0.436901 | − | 0.280779i | 0.303644 | − | 0.952785i | \(-0.401797\pi\) |
−0.740546 | + | 0.672006i | \(0.765433\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7.24317 | + | 8.35906i | −0.231493 | + | 0.267157i | ||||
\(980\) | −14.4275 | − | 4.23630i | −0.460870 | − | 0.135323i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.84573 | − | 4.43821i | −0.122722 | − | 0.141629i | ||||
\(983\) | 2.53187 | + | 5.54403i | 0.0807542 | + | 0.176827i | 0.945702 | − | 0.325035i | \(-0.105376\pi\) |
−0.864948 | + | 0.501862i | \(0.832649\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.3052 | − | 29.1344i | 0.423940 | − | 0.928299i | ||||
\(986\) | 0.0888192 | − | 0.617751i | 0.00282858 | − | 0.0196732i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.5836 | 0.432153 | ||||||||
\(989\) | 2.59246 | − | 4.24220i | 0.0824356 | − | 0.134894i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.0256 | − | 13.5123i | 0.667899 | − | 0.429233i | −0.162269 | − | 0.986747i | \(-0.551881\pi\) |
0.830168 | + | 0.557514i | \(0.188245\pi\) | |||||||
\(992\) | 1.21361 | − | 8.44082i | 0.0385321 | − | 0.267996i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.12005 | + | 0.622502i | −0.0672438 | + | 0.0197446i | ||||
\(995\) | −17.0703 | − | 37.3787i | −0.541164 | − | 1.18498i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.86655 | + | 33.8476i | 0.154125 | + | 1.07196i | 0.909210 | + | 0.416337i | \(0.136686\pi\) |
−0.755085 | + | 0.655627i | \(0.772405\pi\) | |||||||
\(998\) | −0.818973 | − | 0.240472i | −0.0259241 | − | 0.00761201i | ||||
\(999\) | 0 | 0 |
(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 | 414.2.i.a.127.1 | 10 | ||
3.2 | odd | 2 | 138.2.e.d.127.1 | yes | 10 | ||
23.2 | even | 11 | inner | 414.2.i.a.163.1 | 10 | ||
23.5 | odd | 22 | 9522.2.a.by.1.2 | 5 | |||
23.18 | even | 11 | 9522.2.a.bx.1.4 | 5 | |||
69.2 | odd | 22 | 138.2.e.d.25.1 | ✓ | 10 | ||
69.5 | even | 22 | 3174.2.a.w.1.4 | 5 | |||
69.41 | odd | 22 | 3174.2.a.x.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.d.25.1 | ✓ | 10 | 69.2 | odd | 22 | ||
138.2.e.d.127.1 | yes | 10 | 3.2 | odd | 2 | ||
414.2.i.a.127.1 | 10 | 1.1 | even | 1 | trivial | ||
414.2.i.a.163.1 | 10 | 23.2 | even | 11 | inner | ||
3174.2.a.w.1.4 | 5 | 69.5 | even | 22 | |||
3174.2.a.x.1.2 | 5 | 69.41 | odd | 22 | |||
9522.2.a.bx.1.4 | 5 | 23.18 | even | 11 | |||
9522.2.a.by.1.2 | 5 | 23.5 | odd | 22 |