Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [275,2,Mod(26,275)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(275, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("275.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 275 = 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 275.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.19588605559\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 7x^{14} + 25x^{12} + 57x^{10} + 194x^{8} + 303x^{6} + 235x^{4} + 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 201.2 | ||
Root | \(0.381325 + 1.17360i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 275.201 |
Dual form | 275.2.h.d.26.2 |
$q$-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 \(\left(\mathbb{Z}/275\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.998322 | + | 0.725323i | −0.705920 | + | 0.512881i | −0.881855 | − | 0.471521i | \(-0.843705\pi\) |
0.175935 | + | 0.984402i | \(0.443705\pi\) | |||||||
\(3\) | −0.112477 | − | 0.346168i | −0.0649385 | − | 0.199860i | 0.913323 | − | 0.407236i | \(-0.133508\pi\) |
−0.978261 | + | 0.207376i | \(0.933508\pi\) | |||||||
\(4\) | −0.147481 | + | 0.453901i | −0.0737407 | + | 0.226951i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.363371 | + | 0.264005i | 0.148346 | + | 0.107780i | ||||
\(7\) | 0.798988 | − | 2.45903i | 0.301989 | − | 0.929427i | −0.678795 | − | 0.734328i | \(-0.737497\pi\) |
0.980784 | − | 0.195099i | \(-0.0625027\pi\) | |||||||
\(8\) | −0.944641 | − | 2.90731i | −0.333981 | − | 1.02789i | ||||
\(9\) | 2.31987 | − | 1.68548i | 0.773290 | − | 0.561828i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.12020 | + | 1.12443i | 0.940776 | + | 0.339029i | ||||
\(12\) | 0.173714 | 0.0501470 | ||||||||
\(13\) | −2.23232 | + | 1.62187i | −0.619133 | + | 0.449826i | −0.852619 | − | 0.522534i | \(-0.824987\pi\) |
0.233486 | + | 0.972360i | \(0.424987\pi\) | |||||||
\(14\) | 0.985946 | + | 3.03443i | 0.263505 | + | 0.810985i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.27957 | + | 1.65620i | 0.569892 | + | 0.414051i | ||||
\(17\) | 3.11572 | + | 2.26370i | 0.755673 | + | 0.549028i | 0.897580 | − | 0.440852i | \(-0.145323\pi\) |
−0.141907 | + | 0.989880i | \(0.545323\pi\) | |||||||
\(18\) | −1.09346 | + | 3.36531i | −0.257730 | + | 0.793211i | ||||
\(19\) | −0.0857804 | − | 0.264005i | −0.0196794 | − | 0.0605669i | 0.940735 | − | 0.339144i | \(-0.110137\pi\) |
−0.960414 | + | 0.278577i | \(0.910137\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.941105 | −0.205366 | ||||||||
\(22\) | −3.93054 | + | 1.14061i | −0.837994 | + | 0.243179i | ||||
\(23\) | 8.40180 | 1.75190 | 0.875948 | − | 0.482406i | \(-0.160237\pi\) | ||||
0.875948 | + | 0.482406i | \(0.160237\pi\) | |||||||
\(24\) | −0.900166 | + | 0.654009i | −0.183746 | + | 0.133499i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.05219 | − | 3.23830i | 0.206351 | − | 0.635083i | ||||
\(27\) | −1.72780 | − | 1.25532i | −0.332514 | − | 0.241586i | ||||
\(28\) | 0.998322 | + | 0.725323i | 0.188665 | + | 0.137073i | ||||
\(29\) | 1.02689 | − | 3.16043i | 0.190688 | − | 0.586877i | −0.809312 | − | 0.587379i | \(-0.800160\pi\) |
1.00000 | 0.000502126i | \(0.000159832\pi\) | ||||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.456498 | + | 0.331666i | −0.0819895 | + | 0.0595689i | −0.628025 | − | 0.778193i | \(-0.716136\pi\) |
0.546035 | + | 0.837762i | \(0.316136\pi\) | |||||||
\(32\) | 2.63682 | 0.466128 | ||||||||
\(33\) | 0.0382919 | − | 1.20659i | 0.00666576 | − | 0.210040i | ||||
\(34\) | −4.75241 | −0.815031 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.422906 | + | 1.30157i | 0.0704843 | + | 0.216928i | ||||
\(37\) | 0.161487 | − | 0.497006i | 0.0265483 | − | 0.0817073i | −0.936905 | − | 0.349585i | \(-0.886322\pi\) |
0.963453 | + | 0.267878i | \(0.0863225\pi\) | |||||||
\(38\) | 0.277125 | + | 0.201343i | 0.0449556 | + | 0.0326622i | ||||
\(39\) | 0.812523 | + | 0.590333i | 0.130108 | + | 0.0945289i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.57966 | − | 4.86168i | −0.246701 | − | 0.759267i | −0.995352 | − | 0.0963031i | \(-0.969298\pi\) |
0.748651 | − | 0.662964i | \(-0.230702\pi\) | |||||||
\(42\) | 0.939526 | − | 0.682605i | 0.144972 | − | 0.105328i | ||||
\(43\) | −2.54457 | −0.388043 | −0.194022 | − | 0.980997i | \(-0.562153\pi\) | ||||
−0.194022 | + | 0.980997i | \(0.562153\pi\) | |||||||
\(44\) | −0.970553 | + | 1.25043i | −0.146316 | + | 0.188509i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −8.38769 | + | 6.09402i | −1.23670 | + | 0.898514i | ||||
\(47\) | 1.52184 | + | 4.68373i | 0.221983 | + | 0.683193i | 0.998584 | + | 0.0532000i | \(0.0169421\pi\) |
−0.776601 | + | 0.629993i | \(0.783058\pi\) | |||||||
\(48\) | 0.316926 | − | 0.975398i | 0.0457443 | − | 0.140787i | ||||
\(49\) | 0.254663 | + | 0.185023i | 0.0363804 | + | 0.0264319i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.433175 | − | 1.33318i | 0.0606566 | − | 0.186682i | ||||
\(52\) | −0.406945 | − | 1.25245i | −0.0564331 | − | 0.173683i | ||||
\(53\) | −7.05533 | + | 5.12599i | −0.969123 | + | 0.704109i | −0.955252 | − | 0.295794i | \(-0.904416\pi\) |
−0.0138718 | + | 0.999904i | \(0.504416\pi\) | |||||||
\(54\) | 2.63541 | 0.358633 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −7.90392 | −1.05621 | ||||||||
\(57\) | −0.0817417 | + | 0.0593888i | −0.0108269 | + | 0.00786624i | ||||
\(58\) | 1.26717 | + | 3.89995i | 0.166388 | + | 0.512088i | ||||
\(59\) | 2.31987 | − | 7.13983i | 0.302021 | − | 0.929526i | −0.678751 | − | 0.734369i | \(-0.737478\pi\) |
0.980772 | − | 0.195157i | \(-0.0625217\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −11.4711 | − | 8.33424i | −1.46872 | − | 1.06709i | −0.980981 | − | 0.194103i | \(-0.937820\pi\) |
−0.487743 | − | 0.872987i | \(-0.662180\pi\) | |||||||
\(62\) | 0.215168 | − | 0.662218i | 0.0273263 | − | 0.0841017i | ||||
\(63\) | −2.29111 | − | 7.05132i | −0.288653 | − | 0.888382i | ||||
\(64\) | −7.19153 | + | 5.22495i | −0.898942 | + | 0.653119i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.836937 | + | 1.23233i | 0.103020 | + | 0.151690i | ||||
\(67\) | −3.20618 | −0.391698 | −0.195849 | − | 0.980634i | \(-0.562746\pi\) | ||||
−0.195849 | + | 0.980634i | \(0.562746\pi\) | |||||||
\(68\) | −1.48701 | + | 1.08037i | −0.180326 | + | 0.131015i | ||||
\(69\) | −0.945006 | − | 2.90843i | −0.113765 | − | 0.350134i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.79655 | + | 4.93798i | 0.806602 | + | 0.586030i | 0.912843 | − | 0.408310i | \(-0.133882\pi\) |
−0.106242 | + | 0.994340i | \(0.533882\pi\) | |||||||
\(72\) | −7.09166 | − | 5.15239i | −0.835761 | − | 0.607216i | ||||
\(73\) | 4.02812 | − | 12.3973i | 0.471455 | − | 1.45099i | −0.379224 | − | 0.925305i | \(-0.623809\pi\) |
0.850679 | − | 0.525685i | \(-0.176191\pi\) | |||||||
\(74\) | 0.199274 | + | 0.613302i | 0.0231651 | + | 0.0712949i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.132483 | 0.0151969 | ||||||||
\(77\) | 5.25802 | − | 6.77427i | 0.599206 | − | 0.771999i | ||||
\(78\) | −1.23934 | −0.140328 | ||||||||
\(79\) | −7.85090 | + | 5.70401i | −0.883295 | + | 0.641752i | −0.934121 | − | 0.356956i | \(-0.883815\pi\) |
0.0508259 | + | 0.998708i | \(0.483815\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.41812 | − | 7.44221i | 0.268680 | − | 0.826912i | ||||
\(82\) | 5.10330 | + | 3.70776i | 0.563565 | + | 0.409454i | ||||
\(83\) | 2.66732 | + | 1.93792i | 0.292776 | + | 0.212715i | 0.724471 | − | 0.689305i | \(-0.242084\pi\) |
−0.431694 | + | 0.902020i | \(0.642084\pi\) | |||||||
\(84\) | 0.138796 | − | 0.427169i | 0.0151438 | − | 0.0466079i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.54030 | − | 1.84564i | 0.273928 | − | 0.199020i | ||||
\(87\) | −1.20954 | −0.129676 | ||||||||
\(88\) | 0.321596 | − | 10.1336i | 0.0342823 | − | 1.08024i | ||||
\(89\) | 2.48823 | 0.263752 | 0.131876 | − | 0.991266i | \(-0.457900\pi\) | ||||
0.131876 | + | 0.991266i | \(0.457900\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.20464 | + | 6.78519i | 0.231109 | + | 0.711281i | ||||
\(92\) | −1.23911 | + | 3.81359i | −0.129186 | + | 0.397594i | ||||
\(93\) | 0.166157 | + | 0.120720i | 0.0172297 | + | 0.0125181i | ||||
\(94\) | −4.91650 | − | 3.57205i | −0.507099 | − | 0.368429i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.296581 | − | 0.912781i | −0.0302696 | − | 0.0931604i | ||||
\(97\) | −8.81946 | + | 6.40771i | −0.895480 | + | 0.650605i | −0.937301 | − | 0.348521i | \(-0.886684\pi\) |
0.0418208 | + | 0.999125i | \(0.486684\pi\) | |||||||
\(98\) | −0.388437 | −0.0392380 | ||||||||
\(99\) | 9.13367 | − | 2.65051i | 0.917969 | − | 0.266387i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −11.1954 | + | 8.13391i | −1.11398 | + | 0.809355i | −0.983286 | − | 0.182068i | \(-0.941721\pi\) |
−0.130695 | + | 0.991423i | \(0.541721\pi\) | |||||||
\(102\) | 0.534535 | + | 1.64513i | 0.0529269 | + | 0.162892i | ||||
\(103\) | −4.13771 | + | 12.7346i | −0.407700 | + | 1.25477i | 0.510919 | + | 0.859629i | \(0.329305\pi\) |
−0.918619 | + | 0.395144i | \(0.870695\pi\) | |||||||
\(104\) | 6.82402 | + | 4.95794i | 0.669150 | + | 0.486166i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.32548 | − | 10.2348i | 0.322999 | − | 0.994090i | ||||
\(107\) | −3.17033 | − | 9.75728i | −0.306488 | − | 0.943272i | −0.979118 | − | 0.203293i | \(-0.934836\pi\) |
0.672630 | − | 0.739979i | \(-0.265164\pi\) | |||||||
\(108\) | 0.824608 | − | 0.599112i | 0.0793479 | − | 0.0576496i | ||||
\(109\) | −4.94262 | −0.473417 | −0.236708 | − | 0.971581i | \(-0.576069\pi\) | ||||
−0.236708 | + | 0.971581i | \(0.576069\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.190211 | −0.0180540 | ||||||||
\(112\) | 5.89401 | − | 4.28225i | 0.556931 | − | 0.404634i | ||||
\(113\) | 3.06671 | + | 9.43836i | 0.288492 | + | 0.887886i | 0.985330 | + | 0.170658i | \(0.0545894\pi\) |
−0.696839 | + | 0.717228i | \(0.745411\pi\) | |||||||
\(114\) | 0.0385284 | − | 0.118578i | 0.00360852 | − | 0.0111059i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.28308 | + | 0.932209i | 0.119131 | + | 0.0865534i | ||||
\(117\) | −2.44504 | + | 7.52506i | −0.226044 | + | 0.695692i | ||||
\(118\) | 2.86270 | + | 8.81050i | 0.263533 | + | 0.811072i | ||||
\(119\) | 8.05594 | − | 5.85298i | 0.738487 | − | 0.536542i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.47131 | + | 7.01690i | 0.770119 | + | 0.637900i | ||||
\(122\) | 17.4969 | 1.58409 | ||||||||
\(123\) | −1.50528 | + | 1.09365i | −0.135727 | + | 0.0986113i | ||||
\(124\) | −0.0832183 | − | 0.256120i | −0.00747323 | − | 0.0230002i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 7.40175 | + | 5.37769i | 0.659400 | + | 0.479082i | ||||
\(127\) | 9.00901 | + | 6.54543i | 0.799420 | + | 0.580813i | 0.910744 | − | 0.412972i | \(-0.135509\pi\) |
−0.111324 | + | 0.993784i | \(0.535509\pi\) | |||||||
\(128\) | 1.76004 | − | 5.41684i | 0.155567 | − | 0.478786i | ||||
\(129\) | 0.286205 | + | 0.880848i | 0.0251989 | + | 0.0775544i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.1649 | 0.888114 | 0.444057 | − | 0.895999i | \(-0.353539\pi\) | ||||
0.444057 | + | 0.895999i | \(0.353539\pi\) | |||||||
\(132\) | 0.542023 | + | 0.195330i | 0.0471771 | + | 0.0170013i | ||||
\(133\) | −0.717734 | −0.0622354 | ||||||||
\(134\) | 3.20080 | − | 2.32552i | 0.276507 | − | 0.200894i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.63804 | − | 11.1967i | 0.311959 | − | 0.960112i | ||||
\(137\) | −3.51604 | − | 2.55455i | −0.300395 | − | 0.218250i | 0.427369 | − | 0.904077i | \(-0.359441\pi\) |
−0.727764 | + | 0.685827i | \(0.759441\pi\) | |||||||
\(138\) | 3.05297 | + | 2.21811i | 0.259886 | + | 0.188818i | ||||
\(139\) | −2.56560 | + | 7.89611i | −0.217612 | + | 0.669739i | 0.781346 | + | 0.624098i | \(0.214533\pi\) |
−0.998958 | + | 0.0456418i | \(0.985467\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.45019 | − | 1.05362i | 0.122128 | − | 0.0887310i | ||||
\(142\) | −10.3668 | −0.869960 | ||||||||
\(143\) | −8.78896 | + | 2.55048i | −0.734969 | + | 0.213282i | ||||
\(144\) | 8.07981 | 0.673318 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.97067 | + | 15.2981i | 0.411375 | + | 1.26608i | ||||
\(147\) | 0.0354054 | − | 0.108967i | 0.00292019 | − | 0.00898743i | ||||
\(148\) | 0.201775 | + | 0.146598i | 0.0165858 | + | 0.0120503i | ||||
\(149\) | −6.84987 | − | 4.97672i | −0.561163 | − | 0.407709i | 0.270721 | − | 0.962658i | \(-0.412738\pi\) |
−0.831884 | + | 0.554949i | \(0.812738\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.43080 | + | 10.5589i | 0.279195 | + | 0.859273i | 0.988079 | + | 0.153948i | \(0.0491988\pi\) |
−0.708884 | + | 0.705325i | \(0.750801\pi\) | |||||||
\(152\) | −0.686511 | + | 0.498780i | −0.0556834 | + | 0.0404564i | ||||
\(153\) | 11.0435 | 0.892814 | ||||||||
\(154\) | −0.335658 | + | 10.5767i | −0.0270481 | + | 0.852291i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.387785 | + | 0.281742i | −0.0310476 | + | 0.0225574i | ||||
\(157\) | −4.25400 | − | 13.0925i | −0.339506 | − | 1.04489i | −0.964459 | − | 0.264231i | \(-0.914882\pi\) |
0.624953 | − | 0.780662i | \(-0.285118\pi\) | |||||||
\(158\) | 3.70047 | − | 11.3889i | 0.294394 | − | 0.906051i | ||||
\(159\) | 2.56801 | + | 1.86577i | 0.203657 | + | 0.147965i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.71293 | − | 20.6603i | 0.529053 | − | 1.62826i | ||||
\(162\) | 2.98395 | + | 9.18364i | 0.234441 | + | 0.721535i | ||||
\(163\) | 7.23337 | − | 5.25535i | 0.566561 | − | 0.411631i | −0.267293 | − | 0.963615i | \(-0.586129\pi\) |
0.833854 | + | 0.551985i | \(0.186129\pi\) | |||||||
\(164\) | 2.43969 | 0.190508 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.06846 | −0.315774 | ||||||||
\(167\) | −13.6871 | + | 9.94425i | −1.05914 | + | 0.769509i | −0.973929 | − | 0.226854i | \(-0.927156\pi\) |
−0.0852095 | + | 0.996363i | \(0.527156\pi\) | |||||||
\(168\) | 0.889007 | + | 2.73608i | 0.0685883 | + | 0.211093i | ||||
\(169\) | −1.66446 | + | 5.12268i | −0.128035 | + | 0.394052i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.643975 | − | 0.467875i | −0.0492460 | − | 0.0357793i | ||||
\(172\) | 0.375277 | − | 1.15498i | 0.0286146 | − | 0.0880667i | ||||
\(173\) | −1.04445 | − | 3.21447i | −0.0794077 | − | 0.244392i | 0.903470 | − | 0.428652i | \(-0.141011\pi\) |
−0.982878 | + | 0.184260i | \(0.941011\pi\) | |||||||
\(174\) | 1.20751 | − | 0.877307i | 0.0915410 | − | 0.0665085i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.25043 | + | 7.73091i | 0.395766 | + | 0.582739i | ||||
\(177\) | −2.73251 | −0.205388 | ||||||||
\(178\) | −2.48405 | + | 1.80477i | −0.186188 | + | 0.135273i | ||||
\(179\) | 4.27183 | + | 13.1473i | 0.319291 | + | 0.982678i | 0.973952 | + | 0.226755i | \(0.0728116\pi\) |
−0.654660 | + | 0.755923i | \(0.727188\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.10264 | + | 1.52766i | 0.156288 | + | 0.113550i | 0.663181 | − | 0.748459i | \(-0.269206\pi\) |
−0.506893 | + | 0.862009i | \(0.669206\pi\) | |||||||
\(182\) | −7.12240 | − | 5.17473i | −0.527947 | − | 0.383576i | ||||
\(183\) | −1.59481 | + | 4.90833i | −0.117892 | + | 0.362834i | ||||
\(184\) | −7.93668 | − | 24.4266i | −0.585100 | − | 1.80075i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.253440 | −0.0185831 | ||||||||
\(187\) | 7.17629 | + | 10.5666i | 0.524782 | + | 0.772708i | ||||
\(188\) | −2.35039 | −0.171420 | ||||||||
\(189\) | −4.46735 | + | 3.24572i | −0.324952 | + | 0.236091i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.685498 | − | 2.10975i | 0.0496009 | − | 0.152656i | −0.923188 | − | 0.384348i | \(-0.874426\pi\) |
0.972789 | + | 0.231692i | \(0.0744262\pi\) | |||||||
\(192\) | 2.61759 | + | 1.90179i | 0.188908 | + | 0.137250i | ||||
\(193\) | −8.47564 | − | 6.15791i | −0.610090 | − | 0.443256i | 0.239356 | − | 0.970932i | \(-0.423064\pi\) |
−0.849446 | + | 0.527676i | \(0.823064\pi\) | |||||||
\(194\) | 4.15700 | − | 12.7939i | 0.298455 | − | 0.918550i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.121540 | + | 0.0883042i | −0.00868145 | + | 0.00630744i | ||||
\(197\) | 1.32667 | 0.0945210 | 0.0472605 | − | 0.998883i | \(-0.484951\pi\) | ||||
0.0472605 | + | 0.998883i | \(0.484951\pi\) | |||||||
\(198\) | −7.19586 | + | 9.27093i | −0.511388 | + | 0.658856i | ||||
\(199\) | −5.20321 | −0.368846 | −0.184423 | − | 0.982847i | \(-0.559042\pi\) | ||||
−0.184423 | + | 0.982847i | \(0.559042\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.360621 | + | 1.10988i | 0.0254362 | + | 0.0782847i | ||||
\(202\) | 5.27687 | − | 16.2405i | 0.371279 | − | 1.14268i | ||||
\(203\) | −6.95113 | − | 5.05029i | −0.487873 | − | 0.354461i | ||||
\(204\) | 0.541245 | + | 0.393237i | 0.0378947 | + | 0.0275321i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.10590 | − | 15.7144i | −0.355745 | − | 1.09487i | ||||
\(207\) | 19.4911 | − | 14.1611i | 1.35472 | − | 0.984264i | ||||
\(208\) | −7.77487 | −0.539090 | ||||||||
\(209\) | 0.0292033 | − | 0.920202i | 0.00202004 | − | 0.0636517i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.3038 | + | 11.1189i | −1.05356 | + | 0.765454i | −0.972886 | − | 0.231287i | \(-0.925706\pi\) |
−0.0806716 | + | 0.996741i | \(0.525706\pi\) | |||||||
\(212\) | −1.28617 | − | 3.95841i | −0.0883342 | − | 0.271865i | ||||
\(213\) | 0.944916 | − | 2.90815i | 0.0647446 | − | 0.199263i | ||||
\(214\) | 10.2422 | + | 7.44139i | 0.700142 | + | 0.508683i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.01744 | + | 6.20905i | −0.137270 | + | 0.422473i | ||||
\(217\) | 0.450839 | + | 1.38754i | 0.0306050 | + | 0.0941924i | ||||
\(218\) | 4.93432 | − | 3.58499i | 0.334194 | − | 0.242806i | ||||
\(219\) | −4.74460 | −0.320611 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.6267 | −0.714829 | ||||||||
\(222\) | 0.189892 | − | 0.137964i | 0.0127447 | − | 0.00925956i | ||||
\(223\) | −6.75890 | − | 20.8018i | −0.452610 | − | 1.39299i | −0.873919 | − | 0.486072i | \(-0.838429\pi\) |
0.421309 | − | 0.906917i | \(-0.361571\pi\) | |||||||
\(224\) | 2.10679 | − | 6.48402i | 0.140766 | − | 0.433232i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.90742 | − | 7.19816i | −0.659032 | − | 0.478815i | ||||
\(227\) | 0.753584 | − | 2.31929i | 0.0500171 | − | 0.153937i | −0.922928 | − | 0.384972i | \(-0.874211\pi\) |
0.972945 | + | 0.231035i | \(0.0742112\pi\) | |||||||
\(228\) | −0.0149013 | − | 0.0458614i | −0.000986860 | − | 0.00303724i | ||||
\(229\) | −5.90678 | + | 4.29153i | −0.390331 | + | 0.283592i | −0.765591 | − | 0.643327i | \(-0.777553\pi\) |
0.375260 | + | 0.926920i | \(0.377553\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.93644 | − | 1.05821i | −0.193203 | − | 0.0696250i | ||||
\(232\) | −10.1584 | −0.666930 | ||||||||
\(233\) | 3.60685 | − | 2.62053i | 0.236292 | − | 0.171676i | −0.463338 | − | 0.886182i | \(-0.653348\pi\) |
0.699630 | + | 0.714505i | \(0.253348\pi\) | |||||||
\(234\) | −3.01717 | − | 9.28588i | −0.197238 | − | 0.607037i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.89864 | + | 2.10598i | 0.188685 | + | 0.137088i | ||||
\(237\) | 2.85759 | + | 2.07616i | 0.185620 | + | 0.134861i | ||||
\(238\) | −3.79711 | + | 11.6863i | −0.246130 | + | 0.757511i | ||||
\(239\) | 7.47040 | + | 22.9915i | 0.483220 | + | 1.48720i | 0.834542 | + | 0.550944i | \(0.185732\pi\) |
−0.351322 | + | 0.936255i | \(0.614268\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.0393 | −0.775522 | −0.387761 | − | 0.921760i | \(-0.626751\pi\) | ||||
−0.387761 | + | 0.921760i | \(0.626751\pi\) | |||||||
\(242\) | −13.5466 | − | 0.860691i | −0.870809 | − | 0.0553273i | ||||
\(243\) | −9.25525 | −0.593725 | ||||||||
\(244\) | 5.47470 | − | 3.97760i | 0.350482 | − | 0.254640i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.709506 | − | 2.18363i | 0.0452364 | − | 0.139223i | ||||
\(247\) | 0.619671 | + | 0.450217i | 0.0394287 | + | 0.0286466i | ||||
\(248\) | 1.39548 | + | 1.01388i | 0.0886131 | + | 0.0643812i | ||||
\(249\) | 0.370835 | − | 1.14131i | 0.0235007 | − | 0.0723277i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.433947 | − | 0.315281i | 0.0273905 | − | 0.0199004i | −0.574006 | − | 0.818851i | \(-0.694611\pi\) |
0.601396 | + | 0.798951i | \(0.294611\pi\) | |||||||
\(252\) | 3.53850 | 0.222904 | ||||||||
\(253\) | 26.2153 | + | 9.44724i | 1.64814 | + | 0.593943i | ||||
\(254\) | −13.7414 | −0.862214 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.32196 | − | 10.2240i | −0.207623 | − | 0.638997i | ||||
\(257\) | −7.32987 | + | 22.5590i | −0.457224 | + | 1.40719i | 0.411279 | + | 0.911509i | \(0.365082\pi\) |
−0.868504 | + | 0.495683i | \(0.834918\pi\) | |||||||
\(258\) | −0.924624 | − | 0.671779i | −0.0575646 | − | 0.0418231i | ||||
\(259\) | −1.09313 | − | 0.794203i | −0.0679236 | − | 0.0493494i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.94461 | − | 9.06258i | −0.182267 | − | 0.560960i | ||||
\(262\) | −10.1479 | + | 7.37286i | −0.626937 | + | 0.455497i | ||||
\(263\) | 4.97643 | 0.306860 | 0.153430 | − | 0.988160i | \(-0.450968\pi\) | ||||
0.153430 | + | 0.988160i | \(0.450968\pi\) | |||||||
\(264\) | −3.54409 | + | 1.02846i | −0.218123 | + | 0.0632976i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.716529 | − | 0.520589i | 0.0439332 | − | 0.0319194i | ||||
\(267\) | −0.279868 | − | 0.861345i | −0.0171276 | − | 0.0527134i | ||||
\(268\) | 0.472852 | − | 1.45529i | 0.0288841 | − | 0.0888960i | ||||
\(269\) | −23.3034 | − | 16.9309i | −1.42083 | − | 1.03230i | −0.991633 | − | 0.129087i | \(-0.958795\pi\) |
−0.429201 | − | 0.903209i | \(-0.641205\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.96782 | + | 15.2894i | −0.301773 | + | 0.928763i | 0.679088 | + | 0.734057i | \(0.262375\pi\) |
−0.980862 | + | 0.194706i | \(0.937625\pi\) | |||||||
\(272\) | 3.35334 | + | 10.3205i | 0.203326 | + | 0.625774i | ||||
\(273\) | 2.10084 | − | 1.52635i | 0.127149 | − | 0.0923790i | ||||
\(274\) | 5.36301 | 0.323992 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.45951 | 0.0878522 | ||||||||
\(277\) | 14.5654 | − | 10.5824i | 0.875148 | − | 0.635832i | −0.0568151 | − | 0.998385i | \(-0.518095\pi\) |
0.931963 | + | 0.362552i | \(0.118095\pi\) | |||||||
\(278\) | −3.16594 | − | 9.74375i | −0.189880 | − | 0.584391i | ||||
\(279\) | −0.500000 | + | 1.53884i | −0.0299342 | + | 0.0921280i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.0957 | − | 8.06146i | −0.661911 | − | 0.480907i | 0.205397 | − | 0.978679i | \(-0.434152\pi\) |
−0.867308 | + | 0.497772i | \(0.834152\pi\) | |||||||
\(282\) | −0.683536 | + | 2.10371i | −0.0407040 | + | 0.125274i | ||||
\(283\) | 6.33621 | + | 19.5009i | 0.376649 | + | 1.15921i | 0.942360 | + | 0.334602i | \(0.108602\pi\) |
−0.565711 | + | 0.824604i | \(0.691398\pi\) | |||||||
\(284\) | −3.24372 | + | 2.35670i | −0.192479 | + | 0.139844i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.92428 | − | 8.92103i | 0.409441 | − | 0.527512i | ||||
\(287\) | −13.2172 | −0.780184 | ||||||||
\(288\) | 6.11708 | − | 4.44432i | 0.360452 | − | 0.261884i | ||||
\(289\) | −0.669933 | − | 2.06184i | −0.0394078 | − | 0.121285i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.21013 | + | 2.33229i | 0.188181 | + | 0.136721i | ||||
\(292\) | 5.03306 | + | 3.65673i | 0.294538 | + | 0.213994i | ||||
\(293\) | −6.92608 | + | 21.3163i | −0.404626 | + | 1.24531i | 0.516581 | + | 0.856238i | \(0.327204\pi\) |
−0.921207 | + | 0.389073i | \(0.872796\pi\) | |||||||
\(294\) | 0.0436901 | + | 0.134464i | 0.00254806 | + | 0.00784212i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.59750 | −0.0928525 | ||||||||
\(297\) | −3.97955 | − | 5.85963i | −0.230917 | − | 0.340010i | ||||
\(298\) | 10.4481 | 0.605242 | ||||||||
\(299\) | −18.7555 | + | 13.6266i | −1.08466 | + | 0.788049i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.03308 | + | 6.25718i | −0.117185 | + | 0.360658i | ||||
\(302\) | −11.0837 | − | 8.05276i | −0.637794 | − | 0.463384i | ||||
\(303\) | 4.07492 | + | 2.96060i | 0.234098 | + | 0.170082i | ||||
\(304\) | 0.241704 | − | 0.743887i | 0.0138627 | − | 0.0426649i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −11.0250 | + | 8.01010i | −0.630255 | + | 0.457907i | ||||
\(307\) | 20.3044 | 1.15883 | 0.579416 | − | 0.815032i | \(-0.303281\pi\) | ||||
0.579416 | + | 0.815032i | \(0.303281\pi\) | |||||||
\(308\) | 2.29939 | + | 3.38570i | 0.131020 | + | 0.192918i | ||||
\(309\) | 4.87369 | 0.277254 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.70662 | − | 8.33012i | −0.153478 | − | 0.472358i | 0.844525 | − | 0.535516i | \(-0.179883\pi\) |
−0.998004 | + | 0.0631580i | \(0.979883\pi\) | |||||||
\(312\) | 0.948735 | − | 2.91991i | 0.0537116 | − | 0.165307i | ||||
\(313\) | 1.40060 | + | 1.01759i | 0.0791664 | + | 0.0575177i | 0.626664 | − | 0.779289i | \(-0.284420\pi\) |
−0.547498 | + | 0.836807i | \(0.684420\pi\) | |||||||
\(314\) | 13.7431 | + | 9.98497i | 0.775570 | + | 0.563485i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.43120 | − | 4.40477i | −0.0805111 | − | 0.247788i | ||||
\(317\) | 14.1387 | − | 10.2724i | 0.794109 | − | 0.576954i | −0.115071 | − | 0.993357i | \(-0.536710\pi\) |
0.909180 | + | 0.416403i | \(0.136710\pi\) | |||||||
\(318\) | −3.91699 | −0.219654 | ||||||||
\(319\) | 6.75777 | − | 8.70651i | 0.378363 | − | 0.487471i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.02107 | + | 2.19493i | −0.168619 | + | 0.122509i | ||||
\(322\) | 8.28372 | + | 25.4947i | 0.461633 | + | 1.42076i | ||||
\(323\) | 0.330361 | − | 1.01675i | 0.0183818 | − | 0.0565733i | ||||
\(324\) | 3.02140 | + | 2.19518i | 0.167856 | + | 0.121954i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.40940 | + | 10.4931i | −0.188829 | + | 0.581157i | ||||
\(327\) | 0.555929 | + | 1.71097i | 0.0307430 | + | 0.0946171i | ||||
\(328\) | −12.6422 | + | 9.18509i | −0.698048 | + | 0.507162i | ||||
\(329\) | 12.7334 | 0.702014 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.6193 | 0.693620 | 0.346810 | − | 0.937935i | \(-0.387265\pi\) | ||||
0.346810 | + | 0.937935i | \(0.387265\pi\) | |||||||
\(332\) | −1.27301 | + | 0.924893i | −0.0698653 | + | 0.0507601i | ||||
\(333\) | −0.463067 | − | 1.42517i | −0.0253759 | − | 0.0780990i | ||||
\(334\) | 6.45132 | − | 19.8551i | 0.353000 | − | 1.08642i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2.14531 | − | 1.55866i | −0.117036 | − | 0.0850320i | ||||
\(337\) | 3.66490 | − | 11.2794i | 0.199640 | − | 0.614428i | −0.800251 | − | 0.599665i | \(-0.795301\pi\) |
0.999891 | − | 0.0147629i | \(-0.00469935\pi\) | |||||||
\(338\) | −2.05393 | − | 6.32135i | −0.111719 | − | 0.343836i | ||||
\(339\) | 2.92232 | − | 2.12319i | 0.158719 | − | 0.115316i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.79730 | + | 0.521562i | −0.0973294 | + | 0.0282442i | ||||
\(342\) | 0.982255 | 0.0531143 | ||||||||
\(343\) | 15.3009 | − | 11.1167i | 0.826171 | − | 0.600248i | ||||
\(344\) | 2.40371 | + | 7.39785i | 0.129599 | + | 0.398865i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.37422 | + | 2.45152i | 0.181399 | + | 0.131794i | ||||
\(347\) | −18.0444 | − | 13.1100i | −0.968672 | − | 0.703781i | −0.0135232 | − | 0.999909i | \(-0.504305\pi\) |
−0.955148 | + | 0.296127i | \(0.904305\pi\) | |||||||
\(348\) | 0.178385 | − | 0.549011i | 0.00956242 | − | 0.0294301i | ||||
\(349\) | 4.93434 | + | 15.1863i | 0.264129 | + | 0.812906i | 0.991893 | + | 0.127078i | \(0.0405599\pi\) |
−0.727763 | + | 0.685828i | \(0.759440\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.89295 | 0.314542 | ||||||||
\(352\) | 8.22740 | + | 2.96492i | 0.438522 | + | 0.158031i | ||||
\(353\) | −24.1406 | −1.28488 | −0.642439 | − | 0.766337i | \(-0.722077\pi\) | ||||
−0.642439 | + | 0.766337i | \(0.722077\pi\) | |||||||
\(354\) | 2.72792 | − | 1.98195i | 0.144987 | − | 0.105340i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −0.366968 | + | 1.12941i | −0.0194492 | + | 0.0598586i | ||||
\(357\) | −2.93222 | − | 2.13038i | −0.155189 | − | 0.112752i | ||||
\(358\) | −13.8007 | − | 10.0268i | −0.729391 | − | 0.529934i | ||||
\(359\) | 6.29726 | − | 19.3810i | 0.332357 | − | 1.02289i | −0.635653 | − | 0.771975i | \(-0.719269\pi\) |
0.968010 | − | 0.250913i | \(-0.0807309\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.3090 | − | 11.1226i | 0.805736 | − | 0.585401i | ||||
\(362\) | −3.20716 | −0.168564 | ||||||||
\(363\) | 1.47620 | − | 3.72173i | 0.0774804 | − | 0.195340i | ||||
\(364\) | −3.40495 | −0.178468 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.96799 | − | 6.05685i | −0.102869 | − | 0.316597i | ||||
\(367\) | 1.67002 | − | 5.13979i | 0.0871744 | − | 0.268295i | −0.897961 | − | 0.440075i | \(-0.854952\pi\) |
0.985135 | + | 0.171780i | \(0.0549518\pi\) | |||||||
\(368\) | 19.1525 | + | 13.9151i | 0.998392 | + | 0.725374i | ||||
\(369\) | −11.8589 | − | 8.61599i | −0.617349 | − | 0.448530i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.96786 | + | 21.4449i | 0.361753 | + | 1.11336i | ||||
\(372\) | −0.0793003 | + | 0.0576150i | −0.00411153 | + | 0.00298720i | ||||
\(373\) | −17.0982 | −0.885311 | −0.442656 | − | 0.896692i | \(-0.645964\pi\) | ||||
−0.442656 | + | 0.896692i | \(0.645964\pi\) | |||||||
\(374\) | −14.8285 | − | 5.34375i | −0.766761 | − | 0.276319i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.1795 | − | 8.84889i | 0.628108 | − | 0.456347i | ||||
\(377\) | 2.83348 | + | 8.72055i | 0.145932 | + | 0.449131i | ||||
\(378\) | 2.10566 | − | 6.48055i | 0.108303 | − | 0.333323i | ||||
\(379\) | 6.95104 | + | 5.05023i | 0.357051 | + | 0.259413i | 0.751821 | − | 0.659367i | \(-0.229176\pi\) |
−0.394770 | + | 0.918780i | \(0.629176\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.25251 | − | 3.85484i | 0.0641681 | − | 0.197489i | ||||
\(382\) | 0.845900 | + | 2.60341i | 0.0432800 | + | 0.133202i | ||||
\(383\) | 7.82286 | − | 5.68364i | 0.399729 | − | 0.290420i | −0.369701 | − | 0.929151i | \(-0.620540\pi\) |
0.769431 | + | 0.638730i | \(0.220540\pi\) | |||||||
\(384\) | −2.07310 | −0.105792 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.9279 | 0.658012 | ||||||||
\(387\) | −5.90307 | + | 4.28883i | −0.300070 | + | 0.218014i | ||||
\(388\) | −1.60776 | − | 4.94818i | −0.0816217 | − | 0.251206i | ||||
\(389\) | −8.45759 | + | 26.0298i | −0.428817 | + | 1.31976i | 0.470475 | + | 0.882414i | \(0.344083\pi\) |
−0.899292 | + | 0.437350i | \(0.855917\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.1776 | + | 19.0192i | 1.32386 | + | 0.961840i | ||||
\(392\) | 0.297354 | − | 0.915163i | 0.0150187 | − | 0.0462227i | ||||
\(393\) | −1.14332 | − | 3.51877i | −0.0576727 | − | 0.177498i | ||||
\(394\) | −1.32444 | + | 0.962262i | −0.0667243 | + | 0.0484780i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.143975 | + | 4.53669i | −0.00723503 | + | 0.227977i | ||||
\(397\) | −10.6518 | −0.534596 | −0.267298 | − | 0.963614i | \(-0.586131\pi\) | ||||
−0.267298 | + | 0.963614i | \(0.586131\pi\) | |||||||
\(398\) | 5.19448 | − | 3.77401i | 0.260376 | − | 0.189174i | ||||
\(399\) | 0.0807283 | + | 0.248456i | 0.00404147 | + | 0.0124384i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −11.0953 | − | 8.06124i | −0.554075 | − | 0.402559i | 0.275210 | − | 0.961384i | \(-0.411252\pi\) |
−0.829286 | + | 0.558825i | \(0.811252\pi\) | |||||||
\(402\) | −1.16504 | − | 0.846448i | −0.0581067 | − | 0.0422170i | ||||
\(403\) | 0.481129 | − | 1.48076i | 0.0239668 | − | 0.0737621i | ||||
\(404\) | −2.04088 | − | 6.28119i | −0.101538 | − | 0.312501i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.6026 | 0.526196 | ||||||||
\(407\) | 1.06272 | − | 1.36918i | 0.0526771 | − | 0.0678676i | ||||
\(408\) | −4.28514 | −0.212146 | ||||||||
\(409\) | 18.0478 | − | 13.1125i | 0.892408 | − | 0.648372i | −0.0440970 | − | 0.999027i | \(-0.514041\pi\) |
0.936505 | + | 0.350655i | \(0.114041\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.488831 | + | 1.50447i | −0.0241123 | + | 0.0742099i | ||||
\(412\) | −5.16999 | − | 3.75622i | −0.254707 | − | 0.185056i | ||||
\(413\) | −15.7035 | − | 11.4093i | −0.772719 | − | 0.561413i | ||||
\(414\) | −9.18699 | + | 28.2747i | −0.451516 | + | 1.38962i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −5.88621 | + | 4.27658i | −0.288595 | + | 0.209677i | ||||
\(417\) | 3.02195 | 0.147986 | ||||||||
\(418\) | 0.638290 | + | 0.939840i | 0.0312198 | + | 0.0459691i | ||||
\(419\) | −0.510725 | −0.0249506 | −0.0124753 | − | 0.999922i | \(-0.503971\pi\) | ||||
−0.0124753 | + | 0.999922i | \(0.503971\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.08365 | + | 12.5682i | 0.199025 | + | 0.612536i | 0.999906 | + | 0.0137124i | \(0.00436492\pi\) |
−0.800881 | + | 0.598824i | \(0.795635\pi\) | |||||||
\(422\) | 7.21335 | − | 22.2004i | 0.351140 | − | 1.08070i | ||||
\(423\) | 11.4248 | + | 8.30062i | 0.555494 | + | 0.403590i | ||||
\(424\) | 21.5676 | + | 15.6698i | 1.04741 | + | 0.760991i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 1.16602 | + | 3.58864i | 0.0564939 | + | 0.173870i | ||||
\(427\) | −29.6594 | + | 21.5488i | −1.43532 | + | 1.04282i | ||||
\(428\) | 4.89641 | 0.236677 | ||||||||
\(429\) | 1.87145 | + | 2.75558i | 0.0903543 | + | 0.133041i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 23.7902 | − | 17.2846i | 1.14594 | − | 0.832571i | 0.158000 | − | 0.987439i | \(-0.449495\pi\) |
0.987935 | + | 0.154868i | \(0.0494952\pi\) | |||||||
\(432\) | −1.85957 | − | 5.72316i | −0.0894685 | − | 0.275356i | ||||
\(433\) | 3.15708 | − | 9.71650i | 0.151720 | − | 0.466945i | −0.846094 | − | 0.533034i | \(-0.821052\pi\) |
0.997814 | + | 0.0660883i | \(0.0210519\pi\) | |||||||
\(434\) | −1.45650 | − | 1.05821i | −0.0699142 | − | 0.0507956i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.728944 | − | 2.24346i | 0.0349101 | − | 0.107442i | ||||
\(437\) | −0.720709 | − | 2.21811i | −0.0344762 | − | 0.106107i | ||||
\(438\) | 4.73664 | − | 3.44137i | 0.226325 | − | 0.164435i | ||||
\(439\) | −1.53306 | −0.0731691 | −0.0365846 | − | 0.999331i | \(-0.511648\pi\) | ||||
−0.0365846 | + | 0.999331i | \(0.511648\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.902638 | 0.0429827 | ||||||||
\(442\) | 10.6089 | − | 7.70779i | 0.504612 | − | 0.366622i | ||||
\(443\) | −1.04835 | − | 3.22650i | −0.0498088 | − | 0.153296i | 0.923058 | − | 0.384660i | \(-0.125681\pi\) |
−0.972867 | + | 0.231364i | \(0.925681\pi\) | |||||||
\(444\) | 0.0280526 | − | 0.0863370i | 0.00133132 | − | 0.00409737i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 21.8356 | + | 15.8645i | 1.03394 | + | 0.751204i | ||||
\(447\) | −0.952329 | + | 2.93097i | −0.0450436 | + | 0.138630i | ||||
\(448\) | 7.10238 | + | 21.8589i | 0.335556 | + | 1.03274i | ||||
\(449\) | 26.1718 | − | 19.0149i | 1.23512 | − | 0.897368i | 0.237858 | − | 0.971300i | \(-0.423555\pi\) |
0.997263 | + | 0.0739317i | \(0.0235547\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.537783 | − | 16.9456i | 0.0253232 | − | 0.797939i | ||||
\(452\) | −4.73637 | −0.222780 | ||||||||
\(453\) | 3.26927 | − | 2.37527i | 0.153604 | − | 0.111600i | ||||
\(454\) | 0.929918 | + | 2.86199i | 0.0436432 | + | 0.134320i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.249878 | + | 0.181547i | 0.0117016 | + | 0.00850171i | ||||
\(457\) | 9.84814 | + | 7.15509i | 0.460676 | + | 0.334701i | 0.793797 | − | 0.608183i | \(-0.208101\pi\) |
−0.333120 | + | 0.942884i | \(0.608101\pi\) | |||||||
\(458\) | 2.78412 | − | 8.56865i | 0.130094 | − | 0.400387i | ||||
\(459\) | −2.54166 | − | 7.82243i | −0.118635 | − | 0.365120i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −16.5699 | −0.771739 | −0.385869 | − | 0.922553i | \(-0.626098\pi\) | ||||
−0.385869 | + | 0.922553i | \(0.626098\pi\) | |||||||
\(462\) | 3.69905 | − | 1.07343i | 0.172095 | − | 0.0499407i | ||||
\(463\) | −14.6302 | −0.679924 | −0.339962 | − | 0.940439i | \(-0.610414\pi\) | ||||
−0.339962 | + | 0.940439i | \(0.610414\pi\) | |||||||
\(464\) | 7.57517 | − | 5.50368i | 0.351669 | − | 0.255502i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.70006 | + | 5.23226i | −0.0787539 | + | 0.242380i | ||||
\(467\) | 24.6632 | + | 17.9188i | 1.14128 | + | 0.829185i | 0.987296 | − | 0.158889i | \(-0.0507913\pi\) |
0.153979 | + | 0.988074i | \(0.450791\pi\) | |||||||
\(468\) | −3.05504 | − | 2.21961i | −0.141219 | − | 0.102602i | ||||
\(469\) | −2.56170 | + | 7.88411i | −0.118288 | + | 0.364054i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.05372 | + | 2.94520i | −0.186785 | + | 0.135707i | ||||
\(472\) | −22.9491 | −1.05632 | ||||||||
\(473\) | −7.93957 | − | 2.86120i | −0.365062 | − | 0.131558i | ||||
\(474\) | −4.35868 | −0.200201 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 1.46857 | + | 4.51981i | 0.0673120 | + | 0.207165i | ||||
\(477\) | −7.72766 | + | 23.7833i | −0.353825 | + | 1.08896i | ||||
\(478\) | −24.1342 | − | 17.5345i | −1.10387 | − | 0.802009i | ||||
\(479\) | −11.3257 | − | 8.22857i | −0.517482 | − | 0.375973i | 0.298172 | − | 0.954512i | \(-0.403623\pi\) |
−0.815655 | + | 0.578539i | \(0.803623\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.445590 | + | 1.37138i | 0.0203172 | + | 0.0625298i | ||||
\(482\) | 12.0191 | − | 8.73241i | 0.547456 | − | 0.397750i | ||||
\(483\) | −7.90697 | −0.359780 | ||||||||
\(484\) | −4.43434 | + | 2.81027i | −0.201561 | + | 0.127740i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 9.23972 | − | 6.71305i | 0.419122 | − | 0.304510i | ||||
\(487\) | −10.5471 | − | 32.4606i | −0.477934 | − | 1.47093i | −0.841960 | − | 0.539541i | \(-0.818598\pi\) |
0.364026 | − | 0.931389i | \(-0.381402\pi\) | |||||||
\(488\) | −13.3941 | + | 41.2229i | −0.606324 | + | 1.86607i | ||||
\(489\) | −2.63282 | − | 1.91285i | −0.119060 | − | 0.0865022i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.987097 | + | 3.03797i | −0.0445470 | + | 0.137102i | −0.970856 | − | 0.239662i | \(-0.922963\pi\) |
0.926309 | + | 0.376764i | \(0.122963\pi\) | |||||||
\(492\) | −0.274409 | − | 0.844543i | −0.0123713 | − | 0.0380750i | ||||
\(493\) | 10.3538 | − | 7.52244i | 0.466310 | − | 0.338794i | ||||
\(494\) | −0.945184 | −0.0425258 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.58993 | −0.0713898 | ||||||||
\(497\) | 17.5730 | − | 12.7675i | 0.788257 | − | 0.572702i | ||||
\(498\) | 0.457607 | + | 1.40837i | 0.0205059 | + | 0.0631106i | ||||
\(499\) | 2.01742 | − | 6.20897i | 0.0903120 | − | 0.277952i | −0.895692 | − | 0.444676i | \(-0.853319\pi\) |
0.986004 | + | 0.166724i | \(0.0533189\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.98186 | + | 3.61953i | 0.222573 | + | 0.161709i | ||||
\(502\) | −0.204538 | + | 0.629504i | −0.00912898 | + | 0.0280961i | ||||
\(503\) | −0.310213 | − | 0.954737i | −0.0138317 | − | 0.0425696i | 0.943902 | − | 0.330224i | \(-0.107124\pi\) |
−0.957734 | + | 0.287655i | \(0.907124\pi\) | |||||||
\(504\) | −18.3361 | + | 13.3219i | −0.816753 | + | 0.593406i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −33.0236 | + | 9.58317i | −1.46808 | + | 0.426024i | ||||
\(507\) | 1.96052 | 0.0870697 | ||||||||
\(508\) | −4.29964 | + | 3.12387i | −0.190766 | + | 0.138599i | ||||
\(509\) | −1.32074 | − | 4.06483i | −0.0585409 | − | 0.180170i | 0.917510 | − | 0.397713i | \(-0.130196\pi\) |
−0.976051 | + | 0.217542i | \(0.930196\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −27.2669 | − | 19.8105i | −1.20621 | − | 0.876366i | ||||
\(512\) | 19.9477 | + | 14.4929i | 0.881574 | + | 0.640501i | ||||
\(513\) | −0.183199 | + | 0.563828i | −0.00808842 | + | 0.0248936i | ||||
\(514\) | −9.04501 | − | 27.8377i | −0.398958 | − | 1.22787i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.442028 | −0.0194592 | ||||||||
\(517\) | −0.518099 | + | 16.3254i | −0.0227860 | + | 0.717990i | ||||
\(518\) | 1.66735 | 0.0732590 | ||||||||
\(519\) | −0.995271 | + | 0.723107i | −0.0436875 | + | 0.0317409i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.05561 | + | 9.40421i | −0.133869 | + | 0.412006i | −0.995412 | − | 0.0956779i | \(-0.969498\pi\) |
0.861544 | + | 0.507684i | \(0.169498\pi\) | |||||||
\(522\) | 9.51297 | + | 6.91158i | 0.416371 | + | 0.302512i | ||||
\(523\) | 35.7318 | + | 25.9607i | 1.56244 | + | 1.13518i | 0.933970 | + | 0.357351i | \(0.116320\pi\) |
0.628474 | + | 0.777831i | \(0.283680\pi\) | |||||||
\(524\) | −1.49914 | + | 4.61387i | −0.0654901 | + | 0.201558i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.96808 | + | 3.60952i | −0.216619 | + | 0.157383i | ||||
\(527\) | −2.17311 | −0.0946623 | ||||||||
\(528\) | 2.08564 | − | 2.68708i | 0.0907659 | − | 0.116940i | ||||
\(529\) | 47.5902 | 2.06914 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.65227 | − | 20.4736i | −0.288684 | − | 0.888477i | ||||
\(532\) | 0.105852 | − | 0.325780i | 0.00458928 | − | 0.0141244i | ||||
\(533\) | 11.4113 | + | 8.29081i | 0.494279 | + | 0.359115i | ||||
\(534\) | 0.904152 | + | 0.656905i | 0.0391265 | + | 0.0284270i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.02869 | + | 9.32135i | 0.130820 | + | 0.402621i | ||||
\(537\) | 4.07070 | − | 2.95754i | 0.175664 | − | 0.127627i | ||||
\(538\) | 35.5447 | 1.53244 | ||||||||
\(539\) | 0.586552 | + | 0.863660i | 0.0252646 | + | 0.0372005i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.2074 | − | 12.5019i | 0.739805 | − | 0.537499i | −0.152845 | − | 0.988250i | \(-0.548844\pi\) |
0.892650 | + | 0.450751i | \(0.148844\pi\) | |||||||
\(542\) | −6.13026 | − | 18.8670i | −0.263317 | − | 0.810406i | ||||
\(543\) | 0.292328 | − | 0.899692i | 0.0125450 | − | 0.0386095i | ||||
\(544\) | 8.21558 | + | 5.96897i | 0.352240 | + | 0.255918i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.990219 | + | 3.04758i | −0.0423775 | + | 0.130424i | ||||
\(547\) | −1.27746 | − | 3.93160i | −0.0546201 | − | 0.168103i | 0.920025 | − | 0.391859i | \(-0.128168\pi\) |
−0.974645 | + | 0.223756i | \(0.928168\pi\) | |||||||
\(548\) | 1.67806 | − | 1.21919i | 0.0716834 | − | 0.0520810i | ||||
\(549\) | −40.6587 | −1.73527 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.922455 | −0.0392979 | ||||||||
\(552\) | −7.56301 | + | 5.49485i | −0.321903 | + | 0.233876i | ||||
\(553\) | 7.75358 | + | 23.8631i | 0.329716 | + | 1.01476i | ||||
\(554\) | −6.86529 | + | 21.1292i | −0.291678 | + | 0.897694i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.20568 | − | 2.32906i | −0.135951 | − | 0.0987742i | ||||
\(557\) | −9.78568 | + | 30.1172i | −0.414633 | + | 1.27611i | 0.497947 | + | 0.867208i | \(0.334088\pi\) |
−0.912579 | + | 0.408900i | \(0.865912\pi\) | |||||||
\(558\) | −0.616997 | − | 1.89892i | −0.0261196 | − | 0.0803877i | ||||
\(559\) | 5.68028 | − | 4.12697i | 0.240250 | − | 0.174552i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.85066 | − | 3.67270i | 0.120355 | − | 0.155061i | ||||
\(562\) | 16.9242 | 0.713904 | ||||||||
\(563\) | −10.3123 | + | 7.49233i | −0.434612 | + | 0.315764i | −0.783490 | − | 0.621404i | \(-0.786563\pi\) |
0.348879 | + | 0.937168i | \(0.386563\pi\) | |||||||
\(564\) | 0.264365 | + | 0.813631i | 0.0111318 | + | 0.0342600i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −20.4700 | − | 14.8723i | −0.860419 | − | 0.625131i | ||||
\(567\) | −16.3686 | − | 11.8925i | −0.687416 | − | 0.499437i | ||||
\(568\) | 7.93592 | − | 24.4243i | 0.332984 | − | 1.02482i | ||||
\(569\) | 4.83153 | + | 14.8699i | 0.202548 | + | 0.623380i | 0.999805 | + | 0.0197396i | \(0.00628372\pi\) |
−0.797257 | + | 0.603640i | \(0.793716\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.61999 | −0.151492 | −0.0757460 | − | 0.997127i | \(-0.524134\pi\) | ||||
−0.0757460 | + | 0.997127i | \(0.524134\pi\) | |||||||
\(572\) | 0.138541 | − | 4.36547i | 0.00579271 | − | 0.182529i | ||||
\(573\) | −0.807429 | −0.0337308 | ||||||||
\(574\) | 13.1950 | − | 9.58671i | 0.550748 | − | 0.400142i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −7.87684 | + | 24.2424i | −0.328202 | + | 1.01010i | ||||
\(577\) | −19.2831 | − | 14.0100i | −0.802765 | − | 0.583243i | 0.108959 | − | 0.994046i | \(-0.465248\pi\) |
−0.911724 | + | 0.410803i | \(0.865248\pi\) | |||||||
\(578\) | 2.16431 | + | 1.57246i | 0.0900234 | + | 0.0654058i | ||||
\(579\) | −1.17836 | + | 3.62661i | −0.0489709 | + | 0.150717i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.89657 | − | 5.01065i | 0.286118 | − | 0.207877i | ||||
\(582\) | −4.89641 | −0.202963 | ||||||||
\(583\) | −27.7779 | + | 8.06090i | −1.15044 | + | 0.333848i | ||||
\(584\) | −39.8478 | −1.64891 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.54674 | − | 26.3042i | −0.353063 | − | 1.08661i | ||||
\(587\) | 0.385338 | − | 1.18595i | 0.0159046 | − | 0.0489493i | −0.942789 | − | 0.333389i | \(-0.891808\pi\) |
0.958694 | + | 0.284440i | \(0.0918077\pi\) | |||||||
\(588\) | 0.0442385 | + | 0.0321412i | 0.00182436 | + | 0.00132548i | ||||
\(589\) | 0.126720 | + | 0.0920674i | 0.00522140 | + | 0.00379357i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.149219 | − | 0.459249i | −0.00613805 | − | 0.0188910i | ||||
\(592\) | 1.19126 | − | 0.865504i | 0.0489606 | − | 0.0355720i | ||||
\(593\) | 18.5288 | 0.760886 | 0.380443 | − | 0.924804i | \(-0.375772\pi\) | ||||
0.380443 | + | 0.924804i | \(0.375772\pi\) | |||||||
\(594\) | 8.22300 | + | 2.96333i | 0.337394 | + | 0.121587i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.26917 | − | 2.37519i | 0.133910 | − | 0.0972915i | ||||
\(597\) | 0.585240 | + | 1.80118i | 0.0239523 | + | 0.0737176i | ||||
\(598\) | 8.84026 | − | 27.2075i | 0.361505 | − | 1.11260i | ||||
\(599\) | −27.3738 | − | 19.8882i | −1.11846 | − | 0.812611i | −0.134488 | − | 0.990915i | \(-0.542939\pi\) |
−0.983975 | + | 0.178304i | \(0.942939\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.58286 | + | 20.2600i | −0.268520 | + | 0.826421i | 0.722341 | + | 0.691537i | \(0.243066\pi\) |
−0.990861 | + | 0.134884i | \(0.956934\pi\) | |||||||
\(602\) | −2.50881 | − | 7.72132i | −0.102251 | − | 0.314698i | ||||
\(603\) | −7.43793 | + | 5.40397i | −0.302896 | + | 0.220067i | ||||
\(604\) | −5.29869 | −0.215601 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.21547 | −0.252486 | ||||||||
\(607\) | −30.3059 | + | 22.0185i | −1.23008 | + | 0.893704i | −0.996896 | − | 0.0787287i | \(-0.974914\pi\) |
−0.233182 | + | 0.972433i | \(0.574914\pi\) | |||||||
\(608\) | −0.226187 | − | 0.696133i | −0.00917310 | − | 0.0282319i | ||||
\(609\) | −0.966407 | + | 2.97430i | −0.0391608 | + | 0.120525i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.9936 | − | 7.98734i | −0.444755 | − | 0.323133i | ||||
\(612\) | −1.62871 | + | 5.01266i | −0.0658367 | + | 0.202625i | ||||
\(613\) | −6.18180 | − | 19.0256i | −0.249680 | − | 0.768437i | −0.994831 | − | 0.101541i | \(-0.967623\pi\) |
0.745151 | − | 0.666896i | \(-0.232377\pi\) | |||||||
\(614\) | −20.2703 | + | 14.7272i | −0.818043 | + | 0.594343i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −24.6618 | − | 8.88741i | −0.993652 | − | 0.358084i | ||||
\(617\) | 34.7932 | 1.40072 | 0.700360 | − | 0.713790i | \(-0.253023\pi\) | ||||
0.700360 | + | 0.713790i | \(0.253023\pi\) | |||||||
\(618\) | −4.86551 | + | 3.53500i | −0.195719 | + | 0.142198i | ||||
\(619\) | −14.2407 | − | 43.8285i | −0.572384 | − | 1.76162i | −0.644920 | − | 0.764250i | \(-0.723109\pi\) |
0.0725362 | − | 0.997366i | \(-0.476891\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −14.5166 | − | 10.5469i | −0.582530 | − | 0.423233i | ||||
\(622\) | 8.74411 | + | 6.35297i | 0.350607 | + | 0.254731i | ||||
\(623\) | 1.98807 | − | 6.11864i | 0.0796502 | − | 0.245138i | ||||
\(624\) | 0.874492 | + | 2.69141i | 0.0350077 | + | 0.107743i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −2.13633 | −0.0853849 | ||||||||
\(627\) | −0.321829 | + | 0.0933921i | −0.0128526 | + | 0.00372972i | ||||
\(628\) | 6.57008 | 0.262175 | ||||||||
\(629\) | 1.62822 | − | 1.18297i | 0.0649214 | − | 0.0471682i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.34658 | + | 19.5328i | −0.252653 | + | 0.777587i | 0.741629 | + | 0.670810i | \(0.234053\pi\) |
−0.994283 | + | 0.106778i | \(0.965947\pi\) | |||||||
\(632\) | 23.9996 | + | 17.4367i | 0.954653 | + | 0.693596i | ||||
\(633\) | 5.57031 | + | 4.04707i | 0.221400 | + | 0.160857i | ||||
\(634\) | −6.66419 | + | 20.5103i | −0.264669 | + | 0.814567i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.22561 | + | 0.890458i | −0.0485986 | + | 0.0353090i | ||||
\(637\) | −0.868571 | −0.0344140 | ||||||||
\(638\) | −0.431399 | + | 13.5935i | −0.0170793 | + | 0.538171i | ||||
\(639\) | 24.0900 | 0.952985 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.91631 | + | 15.1309i | 0.194183 | + | 0.597633i | 0.999985 | + | 0.00544856i | \(0.00173434\pi\) |
−0.805802 | + | 0.592185i | \(0.798266\pi\) | |||||||
\(642\) | 1.42396 | − | 4.38250i | 0.0561992 | − | 0.172963i | ||||
\(643\) | −34.2246 | − | 24.8656i | −1.34968 | − | 0.980603i | −0.999027 | − | 0.0440996i | \(-0.985958\pi\) |
−0.350658 | − | 0.936504i | \(-0.614042\pi\) | |||||||
\(644\) | 8.38769 | + | 6.09402i | 0.330521 | + | 0.240138i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.407663 | + | 1.25466i | 0.0160393 | + | 0.0493639i | ||||
\(647\) | 6.05866 | − | 4.40187i | 0.238190 | − | 0.173055i | −0.462286 | − | 0.886731i | \(-0.652971\pi\) |
0.700477 | + | 0.713675i | \(0.252971\pi\) | |||||||
\(648\) | −23.9210 | −0.939707 | ||||||||
\(649\) | 15.2667 | − | 19.6692i | 0.599271 | − | 0.772082i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.429613 | − | 0.312132i | 0.0168379 | − | 0.0122334i | ||||
\(652\) | 1.31862 | + | 4.05830i | 0.0516412 | + | 0.158935i | ||||
\(653\) | 5.08959 | − | 15.6641i | 0.199171 | − | 0.612985i | −0.800732 | − | 0.599023i | \(-0.795556\pi\) |
0.999903 | − | 0.0139618i | \(-0.00444432\pi\) | |||||||
\(654\) | −1.79601 | − | 1.30487i | −0.0702294 | − | 0.0510246i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 4.45100 | − | 13.6988i | 0.173782 | − | 0.534847i | ||||
\(657\) | −11.5507 | − | 35.5494i | −0.450635 | − | 1.38691i | ||||
\(658\) | −12.7120 | + | 9.23581i | −0.495566 | + | 0.360050i | ||||
\(659\) | 23.7359 | 0.924619 | 0.462310 | − | 0.886719i | \(-0.347021\pi\) | ||||
0.462310 | + | 0.886719i | \(0.347021\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.4183 | 0.521911 | 0.260956 | − | 0.965351i | \(-0.415962\pi\) | ||||
0.260956 | + | 0.965351i | \(0.415962\pi\) | |||||||
\(662\) | −12.5981 | + | 9.15308i | −0.489640 | + | 0.355745i | ||||
\(663\) | 1.19526 | + | 3.67862i | 0.0464199 | + | 0.142866i | ||||
\(664\) | 3.11447 | − | 9.58536i | 0.120865 | − | 0.371984i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.49600 | + | 1.08691i | 0.0579688 | + | 0.0421168i | ||||
\(667\) | 8.62768 | − | 26.5533i | 0.334065 | − | 1.02815i | ||||
\(668\) | −2.49512 | − | 7.67918i | −0.0965389 | − | 0.297116i | ||||
\(669\) | −6.44068 | + | 4.67943i | −0.249011 | + | 0.180917i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −26.4209 | − | 38.9030i | −1.01997 | − | 1.50183i | ||||
\(672\) | −2.48152 | −0.0957268 | ||||||||
\(673\) | −39.0650 | + | 28.3824i | −1.50585 | + | 1.09406i | −0.537867 | + | 0.843030i | \(0.680770\pi\) |
−0.967979 | + | 0.251031i | \(0.919230\pi\) | |||||||
\(674\) | 4.52246 | + | 13.9187i | 0.174199 | + | 0.536128i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.07971 | − | 1.51100i | −0.0799889 | − | 0.0581154i | ||||
\(677\) | −19.7107 | − | 14.3206i | −0.757543 | − | 0.550387i | 0.140613 | − | 0.990065i | \(-0.455093\pi\) |
−0.898156 | + | 0.439678i | \(0.855093\pi\) | |||||||
\(678\) | −1.37742 | + | 4.23926i | −0.0528994 | + | 0.162808i | ||||
\(679\) | 8.71013 | + | 26.8070i | 0.334264 | + | 1.02876i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.887625 | −0.0340139 | ||||||||
\(682\) | 1.41598 | − | 1.82431i | 0.0542209 | − | 0.0698565i | ||||
\(683\) | 38.9856 | 1.49174 | 0.745871 | − | 0.666090i | \(-0.232034\pi\) | ||||
0.745871 | + | 0.666090i | \(0.232034\pi\) | |||||||
\(684\) | 0.307344 | − | 0.223298i | 0.0117516 | − | 0.00853802i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −7.21198 | + | 22.1962i | −0.275355 | + | 0.847454i | ||||
\(687\) | 2.14996 | + | 1.56204i | 0.0820263 | + | 0.0595956i | ||||
\(688\) | −5.80053 | − | 4.21433i | −0.221143 | − | 0.160670i | ||||
\(689\) | 7.43600 | − | 22.8857i | 0.283289 | − | 0.871875i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.78820 | + | 3.47883i | −0.182152 | + | 0.132341i | −0.675125 | − | 0.737704i | \(-0.735910\pi\) |
0.492973 | + | 0.870045i | \(0.335910\pi\) | |||||||
\(692\) | 1.61309 | 0.0613205 | ||||||||
\(693\) | 0.779993 | − | 24.5777i | 0.0296295 | − | 0.933630i | ||||
\(694\) | 27.5230 | 1.04476 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.14258 | + | 3.51650i | 0.0433094 | + | 0.133293i | ||||
\(697\) | 6.08364 | − | 18.7235i | 0.230434 | − | 0.709203i | ||||
\(698\) | −15.9411 | − | 11.5819i | −0.603378 | − | 0.438380i | ||||
\(699\) | −1.31283 | − | 0.953826i | −0.0496557 | − | 0.0360770i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.69808 | + | 11.3815i | 0.139675 | + | 0.429874i | 0.996288 | − | 0.0860851i | \(-0.0274357\pi\) |
−0.856613 | + | 0.515959i | \(0.827436\pi\) | |||||||
\(702\) | −5.88306 | + | 4.27429i | −0.222042 | + | 0.161323i | ||||
\(703\) | −0.145064 | −0.00547120 | ||||||||
\(704\) | −28.3141 | + | 8.21652i | −1.06713 | + | 0.309672i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 24.1001 | − | 17.5098i | 0.907021 | − | 0.658989i | ||||
\(707\) | 11.0566 | + | 34.0287i | 0.415826 | + | 1.27978i | ||||
\(708\) | 0.402994 | − | 1.24029i | 0.0151455 | − | 0.0466129i | ||||
\(709\) | −5.50819 | − | 4.00194i | −0.206865 | − | 0.150296i | 0.479529 | − | 0.877526i | \(-0.340807\pi\) |
−0.686394 | + | 0.727230i | \(0.740807\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.59904 | + | 26.4651i | −0.322489 | + | 0.992520i | ||||
\(712\) | −2.35048 | − | 7.23405i | −0.0880881 | − | 0.271107i | ||||
\(713\) | −3.83541 | + | 2.78659i | −0.143637 | + | 0.104358i | ||||
\(714\) | 4.47251 | 0.167380 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.59761 | −0.246564 | ||||||||
\(717\) | 7.11868 | − | 5.17202i | 0.265852 | − | 0.193153i | ||||
\(718\) | 7.77077 | + | 23.9160i | 0.290003 | + | 0.892537i | ||||
\(719\) | −2.86277 | + | 8.81069i | −0.106763 | + | 0.328583i | −0.990140 | − | 0.140080i | \(-0.955264\pi\) |
0.883377 | + | 0.468663i | \(0.155264\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 28.0087 | + | 20.3495i | 1.04310 | + | 0.757855i | ||||
\(722\) | −7.21579 | + | 22.2079i | −0.268544 | + | 0.826493i | ||||
\(723\) | 1.35414 | + | 4.16763i | 0.0503612 | + | 0.154996i | ||||
\(724\) | −1.00351 | + | 0.729090i | −0.0372950 | + | 0.0270964i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.22574 | + | 4.78621i | 0.0454913 | + | 0.177633i | ||||
\(727\) | 19.4121 | 0.719956 | 0.359978 | − | 0.932961i | \(-0.382784\pi\) | ||||
0.359978 | + | 0.932961i | \(0.382784\pi\) | |||||||
\(728\) | 17.6440 | − | 12.8191i | 0.653931 | − | 0.475109i | ||||
\(729\) | −6.21336 | − | 19.1228i | −0.230125 | − | 0.708250i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.92817 | − | 5.76015i | −0.293234 | − | 0.213047i | ||||
\(732\) | −1.99269 | − | 1.44778i | −0.0736521 | − | 0.0535114i | ||||
\(733\) | 3.57287 | − | 10.9962i | 0.131967 | − | 0.406152i | −0.863139 | − | 0.504966i | \(-0.831505\pi\) |
0.995106 | + | 0.0988140i | \(0.0315049\pi\) | |||||||
\(734\) | 2.06079 | + | 6.34247i | 0.0760653 | + | 0.234105i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 22.1540 | 0.816608 | ||||||||
\(737\) | −10.0039 | − | 3.60513i | −0.368500 | − | 0.132797i | ||||
\(738\) | 18.0884 | 0.665842 | ||||||||
\(739\) | −7.36801 | + | 5.35317i | −0.271037 | + | 0.196920i | −0.714998 | − | 0.699126i | \(-0.753573\pi\) |
0.443962 | + | 0.896046i | \(0.353573\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0861521 | − | 0.265149i | 0.00316488 | − | 0.00974049i | ||||
\(742\) | −22.5106 | − | 16.3549i | −0.826391 | − | 0.600409i | ||||
\(743\) | −0.0591398 | − | 0.0429676i | −0.00216963 | − | 0.00157633i | 0.586700 | − | 0.809804i | \(-0.300427\pi\) |
−0.588870 | + | 0.808228i | \(0.700427\pi\) | |||||||
\(744\) | 0.194012 | − | 0.597108i | 0.00711283 | − | 0.0218910i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 17.0695 | − | 12.4017i | 0.624959 | − | 0.454059i | ||||
\(747\) | 9.45417 | 0.345910 | ||||||||
\(748\) | −5.85457 | + | 1.69895i | −0.214064 | + | 0.0621197i | ||||
\(749\) | −26.5265 | −0.969258 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.9045 | − | 36.6384i | −0.434403 | − | 1.33695i | −0.893697 | − | 0.448670i | \(-0.851898\pi\) |
0.459295 | − | 0.888284i | \(-0.348102\pi\) | |||||||
\(752\) | −4.28808 | + | 13.1974i | −0.156370 | + | 0.481258i | ||||
\(753\) | −0.157949 | − | 0.114757i | −0.00575598 | − | 0.00418197i | ||||
\(754\) | −9.15394 | − | 6.65073i | −0.333367 | − | 0.242205i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.814385 | − | 2.50642i | −0.0296189 | − | 0.0911576i | ||||
\(757\) | −22.7833 | + | 16.5530i | −0.828073 | + | 0.601630i | −0.919013 | − | 0.394226i | \(-0.871013\pi\) |
0.0909407 | + | 0.995856i | \(0.471013\pi\) | |||||||
\(758\) | −10.6024 | −0.385097 | ||||||||
\(759\) | 0.321721 | − | 10.1375i | 0.0116777 | − | 0.367967i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 23.8575 | − | 17.3335i | 0.864832 | − | 0.628337i | −0.0643631 | − | 0.997927i | \(-0.520502\pi\) |
0.929195 | + | 0.369589i | \(0.120502\pi\) | |||||||
\(762\) | 1.54559 | + | 4.75684i | 0.0559909 | + | 0.172322i | ||||
\(763\) | −3.94909 | + | 12.1541i | −0.142967 | + | 0.440006i | ||||
\(764\) | 0.856518 | + | 0.622297i | 0.0309877 | + | 0.0225139i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.68725 | + | 11.3482i | −0.133226 | + | 0.410027i | ||||
\(767\) | 6.40120 | + | 19.7009i | 0.231134 | + | 0.711357i | ||||
\(768\) | −3.16556 | + | 2.29991i | −0.114227 | + | 0.0829910i | ||||
\(769\) | 8.42410 | 0.303781 | 0.151890 | − | 0.988397i | \(-0.451464\pi\) | ||||
0.151890 | + | 0.988397i | \(0.451464\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.63364 | 0.310933 | ||||||||
\(772\) | 4.04508 | − | 2.93892i | 0.145586 | − | 0.105774i | ||||
\(773\) | 0.277338 | + | 0.853557i | 0.00997514 | + | 0.0307003i | 0.955920 | − | 0.293627i | \(-0.0948622\pi\) |
−0.945945 | + | 0.324327i | \(0.894862\pi\) | |||||||
\(774\) | 2.78238 | − | 8.56327i | 0.100010 | − | 0.307800i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 26.9604 | + | 19.5879i | 0.967822 | + | 0.703164i | ||||
\(777\) | −0.151976 | + | 0.467735i | −0.00545212 | + | 0.0167799i | ||||
\(778\) | −10.4366 | − | 32.1206i | −0.374171 | − | 1.15158i | ||||
\(779\) | −1.14800 | + | 0.834074i | −0.0411315 | + | 0.0298838i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.6542 | + | 23.0497i | 0.560150 | + | 0.824785i | ||||
\(782\) | −39.9287 | −1.42785 | ||||||||
\(783\) | −5.74159 | + | 4.17151i | −0.205188 | + | 0.149077i | ||||
\(784\) | 0.274085 | + | 0.843546i | 0.00978874 | + | 0.0301267i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 3.69364 | + | 2.68359i | 0.131748 | + | 0.0957205i | ||||
\(787\) | 30.5814 | + | 22.2187i | 1.09011 | + | 0.792010i | 0.979418 | − | 0.201844i | \(-0.0646935\pi\) |
0.110691 | + | 0.993855i | \(0.464694\pi\) | |||||||
\(788\) | −0.195659 | + | 0.602175i | −0.00697005 | + | 0.0214516i | ||||
\(789\) | −0.559733 | − | 1.72268i | −0.0199270 | − | 0.0613290i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 25.6595 | 0.912346 | ||||||||
\(792\) | −16.3339 | − | 24.0506i | −0.580400 | − | 0.854601i | ||||
\(793\) | 39.1242 | 1.38934 | ||||||||
\(794\) | 10.6339 | − | 7.72596i | 0.377382 | − | 0.274184i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.767377 | − | 2.36174i | 0.0271990 | − | 0.0837098i | ||||
\(797\) | −12.2894 | − | 8.92880i | −0.435314 | − | 0.316274i | 0.348456 | − | 0.937325i | \(-0.386706\pi\) |
−0.783770 | + | 0.621051i | \(0.786706\pi\) | |||||||
\(798\) | −0.260804 | − | 0.189485i | −0.00923236 | − | 0.00670770i | ||||
\(799\) | −5.86096 | + | 18.0382i | −0.207346 | + | 0.638145i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.77237 | − | 4.19387i | 0.203957 | − | 0.148183i | ||||
\(802\) | 16.9237 | 0.597598 | ||||||||
\(803\) | 26.5084 | − | 34.1526i | 0.935461 | − | 1.20522i | ||||
\(804\) | −0.556959 | −0.0196424 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0.593711 | + | 1.82725i | 0.0209126 | + | 0.0643623i | ||||
\(807\) | −3.23985 | + | 9.97122i | −0.114048 | + | 0.351004i | ||||
\(808\) | 34.2234 | + | 24.8647i | 1.20397 | + | 0.874739i | ||||
\(809\) | 32.1268 | + | 23.3415i | 1.12952 | + | 0.820643i | 0.985625 | − | 0.168951i | \(-0.0540379\pi\) |
0.143893 | + | 0.989593i | \(0.454038\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.72454 | + | 8.38527i | 0.0956715 | + | 0.294447i | 0.987428 | − | 0.158069i | \(-0.0505268\pi\) |
−0.891757 | + | 0.452515i | \(0.850527\pi\) | |||||||
\(812\) | 3.31749 | − | 2.41030i | 0.116421 | − | 0.0845850i | ||||
\(813\) | 5.85145 | 0.205219 | ||||||||
\(814\) | −0.0678414 | + | 2.13770i | −0.00237784 | + | 0.0749262i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 3.19546 | − | 2.32164i | 0.111864 | − | 0.0812736i | ||||
\(817\) | 0.218274 | + | 0.671779i | 0.00763645 | + | 0.0235026i | ||||
\(818\) | −8.50673 | + | 26.1810i | −0.297431 | + | 0.915398i | ||||
\(819\) | 16.5508 | + | 12.0249i | 0.578332 | + | 0.420183i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.60214 | + | 8.00856i | −0.0908153 | + | 0.279501i | −0.986141 | − | 0.165912i | \(-0.946943\pi\) |
0.895325 | + | 0.445413i | \(0.146943\pi\) | |||||||
\(822\) | −0.603214 | − | 1.85650i | −0.0210395 | − | 0.0647530i | ||||
\(823\) | −19.3388 | + | 14.0504i | −0.674107 | + | 0.489767i | −0.871397 | − | 0.490578i | \(-0.836786\pi\) |
0.197291 | + | 0.980345i | \(0.436786\pi\) | |||||||
\(824\) | 40.9319 | 1.42593 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 23.9526 | 0.833416 | ||||||||
\(827\) | 38.4379 | − | 27.9268i | 1.33662 | − | 0.971109i | 0.337055 | − | 0.941485i | \(-0.390569\pi\) |
0.999561 | − | 0.0296239i | \(-0.00943095\pi\) | |||||||
\(828\) | 3.55317 | + | 10.9355i | 0.123481 | + | 0.380036i | ||||
\(829\) | −8.71437 | + | 26.8201i | −0.302663 | + | 0.931500i | 0.677876 | + | 0.735176i | \(0.262900\pi\) |
−0.980539 | + | 0.196324i | \(0.937100\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −5.30154 | − | 3.85179i | −0.183908 | − | 0.133617i | ||||
\(832\) | 7.57956 | − | 23.3275i | 0.262774 | − | 0.808735i | ||||
\(833\) | 0.374620 | + | 1.15296i | 0.0129798 | + | 0.0399477i | ||||
\(834\) | −3.01688 | + | 2.19189i | −0.104466 | + | 0.0758990i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.413374 | + | 0.148968i | 0.0142968 | + | 0.00515217i | ||||
\(837\) | 1.20508 | 0.0416537 | ||||||||
\(838\) | 0.509868 | − | 0.370441i | 0.0176131 | − | 0.0127967i | ||||
\(839\) | 6.90363 | + | 21.2472i | 0.238340 | + | 0.733535i | 0.996661 | + | 0.0816534i | \(0.0260200\pi\) |
−0.758321 | + | 0.651881i | \(0.773980\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.5277 | + | 10.5550i | 0.500954 | + | 0.363965i | ||||
\(842\) | −13.1928 | − | 9.58513i | −0.454654 | − | 0.330325i | ||||
\(843\) | −1.54262 | + | 4.74768i | −0.0531305 | + | 0.163519i | ||||
\(844\) | −2.78984 | − | 8.58624i | −0.0960302 | − | 0.295551i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −17.4263 | −0.599128 | ||||||||
\(847\) | 24.0233 | − | 15.2248i | 0.825449 | − | 0.523130i | ||||
\(848\) | −24.5728 | −0.843833 | ||||||||
\(849\) | 6.03789 | − | 4.38679i | 0.207220 | − | 0.150554i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.35678 | − | 4.17574i | 0.0465098 | − | 0.143143i | ||||
\(852\) | 1.18066 | + | 0.857797i | 0.0404486 | + | 0.0293876i | ||||
\(853\) | 6.59563 | + | 4.79201i | 0.225830 | + | 0.164075i | 0.694947 | − | 0.719061i | \(-0.255428\pi\) |
−0.469117 | + | 0.883136i | \(0.655428\pi\) | |||||||
\(854\) | 13.9798 | − | 43.0254i | 0.478378 | − | 1.47230i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.3726 | + | 18.4343i | −0.867217 | + | 0.630070i | ||||
\(857\) | 4.42433 | 0.151132 | 0.0755662 | − | 0.997141i | \(-0.475924\pi\) | ||||
0.0755662 | + | 0.997141i | \(0.475924\pi\) | |||||||
\(858\) | −3.86699 | − | 1.39355i | −0.132017 | − | 0.0475752i | ||||
\(859\) | 2.90501 | 0.0991176 | 0.0495588 | − | 0.998771i | \(-0.484218\pi\) | ||||
0.0495588 | + | 0.998771i | \(0.484218\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.48662 | + | 4.57535i | 0.0506640 | + | 0.155928i | ||||
\(862\) | −11.2134 | + | 34.5112i | −0.381929 | + | 1.17546i | ||||
\(863\) | 14.3277 | + | 10.4097i | 0.487722 | + | 0.354351i | 0.804308 | − | 0.594213i | \(-0.202536\pi\) |
−0.316586 | + | 0.948564i | \(0.602536\pi\) | |||||||
\(864\) | −4.55588 | − | 3.31004i | −0.154994 | − | 0.112610i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.89582 | + | 11.9901i | 0.132385 | + | 0.407440i | ||||
\(867\) | −0.638391 | + | 0.463818i | −0.0216809 | + | 0.0157521i | ||||
\(868\) | −0.696297 | −0.0236339 | ||||||||
\(869\) | −30.9102 | + | 8.96987i | −1.04856 | + | 0.304282i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.15721 | − | 5.20002i | 0.242513 | − | 0.176196i | ||||
\(872\) | 4.66900 | + | 14.3697i | 0.158112 | + | 0.486619i | ||||
\(873\) | −9.65990 | + | 29.7301i | −0.326938 | + | 1.00621i | ||||
\(874\) | 2.32835 | + | 1.69164i | 0.0787576 | + | 0.0572207i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.699741 | − | 2.15358i | 0.0236421 | − | 0.0727628i | ||||
\(877\) | 15.8772 | + | 48.8651i | 0.536136 | + | 1.65006i | 0.741181 | + | 0.671305i | \(0.234266\pi\) |
−0.205045 | + | 0.978753i | \(0.565734\pi\) | |||||||
\(878\) | 1.53049 | − | 1.11197i | 0.0516516 | − | 0.0375270i | ||||
\(879\) | 8.15803 | 0.275164 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 33.6727 | 1.13446 | 0.567231 | − | 0.823559i | \(-0.308015\pi\) | ||||
0.567231 | + | 0.823559i | \(0.308015\pi\) | |||||||
\(882\) | −0.901123 | + | 0.654704i | −0.0303424 | + | 0.0220450i | ||||
\(883\) | −4.29860 | − | 13.2297i | −0.144660 | − | 0.445216i | 0.852308 | − | 0.523041i | \(-0.175203\pi\) |
−0.996967 | + | 0.0778247i | \(0.975203\pi\) | |||||||
\(884\) | 1.56724 | − | 4.82347i | 0.0527120 | − | 0.162231i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.38685 | + | 2.46069i | 0.113783 | + | 0.0826685i | ||||
\(887\) | 13.8133 | − | 42.5128i | 0.463804 | − | 1.42744i | −0.396677 | − | 0.917958i | \(-0.629837\pi\) |
0.860481 | − | 0.509483i | \(-0.170163\pi\) | |||||||
\(888\) | 0.179681 | + | 0.553001i | 0.00602970 | + | 0.0185575i | ||||
\(889\) | 23.2935 | − | 16.9237i | 0.781239 | − | 0.567603i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 15.9133 | − | 20.5022i | 0.533115 | − | 0.686849i | ||||
\(892\) | 10.4388 | 0.349516 | ||||||||
\(893\) | 1.10598 | − | 0.803545i | 0.0370104 | − | 0.0268896i | ||||
\(894\) | −1.17517 | − | 3.61680i | −0.0393035 | − | 0.120964i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −11.9139 | − | 8.65598i | −0.398017 | − | 0.289176i | ||||
\(897\) | 6.82665 | + | 4.95985i | 0.227935 | + | 0.165605i | ||||
\(898\) | −12.3359 | + | 37.9660i | −0.411654 | + | 1.26694i | ||||
\(899\) | 0.579434 | + | 1.78331i | 0.0193252 | + | 0.0594768i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −33.5861 | −1.11892 | ||||||||
\(902\) | 11.7542 | + | 17.3073i | 0.391372 | + | 0.576269i | ||||
\(903\) | 2.39471 | 0.0796909 | ||||||||
\(904\) | 24.5433 | − | 17.8317i | 0.816297 | − | 0.593074i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.54095 | + | 4.74256i | −0.0511947 | + | 0.157561i | ||||
\(907\) | −18.4440 | − | 13.4003i | −0.612421 | − | 0.444950i | 0.237845 | − | 0.971303i | \(-0.423559\pi\) |
−0.850266 | + | 0.526353i | \(0.823559\pi\) | |||||||
\(908\) | 0.941591 | + | 0.684106i | 0.0312478 | + | 0.0227028i | ||||
\(909\) | −12.2622 | + | 37.7392i | −0.406712 | + | 1.25173i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −30.3887 | + | 22.0787i | −1.00682 | + | 0.731499i | −0.963540 | − | 0.267564i | \(-0.913781\pi\) |
−0.0432817 | + | 0.999063i | \(0.513781\pi\) | |||||||
\(912\) | −0.284696 | −0.00942722 | ||||||||
\(913\) | 6.14352 | + | 9.04593i | 0.203321 | + | 0.299376i | ||||
\(914\) | −15.0214 | −0.496863 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.07679 | − | 3.31402i | −0.0355781 | − | 0.109498i | ||||
\(917\) | 8.12165 | − | 24.9959i | 0.268201 | − | 0.825437i | ||||
\(918\) | 8.21118 | + | 5.96577i | 0.271009 | + | 0.196900i | ||||
\(919\) | −32.1280 | − | 23.3424i | −1.05981 | − | 0.769994i | −0.0857538 | − | 0.996316i | \(-0.527330\pi\) |
−0.974053 | + | 0.226322i | \(0.927330\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.28377 | − | 7.02872i | −0.0752528 | − | 0.231604i | ||||
\(922\) | 16.5421 | − | 12.0186i | 0.544786 | − | 0.395810i | ||||
\(923\) | −23.1808 | −0.763005 | ||||||||
\(924\) | 0.913392 | − | 1.17679i | 0.0300484 | − | 0.0387134i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 14.6057 | − | 10.6116i | 0.479972 | − | 0.348720i | ||||
\(927\) | 11.8649 | + | 36.5165i | 0.389696 | + | 1.19936i | ||||
\(928\) | 2.70771 | − | 8.33348i | 0.0888850 | − | 0.273560i | ||||
\(929\) | −16.7708 | − | 12.1847i | −0.550231 | − | 0.399766i | 0.277640 | − | 0.960685i | \(-0.410448\pi\) |
−0.827871 | + | 0.560919i | \(0.810448\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0270020 | − | 0.0831035i | 0.000884954 | − | 0.00272361i | ||||
\(932\) | 0.657518 | + | 2.02363i | 0.0215377 | + | 0.0662862i | ||||
\(933\) | −2.57919 | + | 1.87389i | −0.0844388 | + | 0.0613484i | ||||
\(934\) | −37.6187 | −1.23092 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 24.1874 | 0.790588 | ||||||||
\(937\) | −45.1841 | + | 32.8282i | −1.47610 | + | 1.07245i | −0.497312 | + | 0.867572i | \(0.665680\pi\) |
−0.978788 | + | 0.204877i | \(0.934320\pi\) | |||||||
\(938\) | −3.16112 | − | 9.72893i | −0.103214 | − | 0.317661i | ||||
\(939\) | 0.194723 | − | 0.599297i | 0.00635455 | − | 0.0195573i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 10.8120 | + | 7.85541i | 0.352462 | + | 0.256079i | 0.749901 | − | 0.661550i | \(-0.230101\pi\) |
−0.397439 | + | 0.917629i | \(0.630101\pi\) | |||||||
\(942\) | 1.91069 | − | 5.88051i | 0.0622537 | − | 0.191597i | ||||
\(943\) | −13.2720 | − | 40.8469i | −0.432194 | − | 1.33016i | ||||
\(944\) | 17.1133 | − | 12.4336i | 0.556991 | − | 0.404678i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.0015 | − | 2.90236i | 0.325178 | − | 0.0943639i | ||||
\(947\) | −42.2245 | −1.37211 | −0.686055 | − | 0.727550i | \(-0.740659\pi\) | ||||
−0.686055 | + | 0.727550i | \(0.740659\pi\) | |||||||
\(948\) | −1.36381 | + | 0.990868i | −0.0442946 | + | 0.0321819i | ||||
\(949\) | 11.1148 | + | 34.2077i | 0.360800 | + | 1.11043i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.14624 | − | 3.73896i | −0.166878 | − | 0.121244i | ||||
\(952\) | −24.6264 | − | 17.8921i | −0.798146 | − | 0.579887i | ||||
\(953\) | 4.54837 | − | 13.9985i | 0.147336 | − | 0.453454i | −0.849968 | − | 0.526835i | \(-0.823379\pi\) |
0.997304 | + | 0.0733803i | \(0.0233787\pi\) | |||||||
\(954\) | −9.53588 | − | 29.3484i | −0.308735 | − | 0.950190i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −11.5376 | −0.373154 | ||||||||
\(957\) | −3.77401 | − | 1.36004i | −0.121996 | − | 0.0439640i | ||||
\(958\) | 17.2750 | 0.558131 | ||||||||
\(959\) | −9.09100 | + | 6.60500i | −0.293564 | + | 0.213286i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.48114 | + | 29.1799i | −0.305843 | + | 0.941288i | ||||
\(962\) | −1.43954 | − | 1.04589i | −0.0464126 | − | 0.0337207i | ||||
\(963\) | −23.8005 | − | 17.2921i | −0.766960 | − | 0.557229i | ||||
\(964\) | 1.77558 | − | 5.46467i | 0.0571875 | − | 0.176005i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 7.89370 | − | 5.73511i | 0.253976 | − | 0.184524i | ||||
\(967\) | −32.2786 | −1.03801 | −0.519005 | − | 0.854771i | \(-0.673697\pi\) | ||||
−0.519005 | + | 0.854771i | \(0.673697\pi\) | |||||||
\(968\) | 12.3979 | − | 31.2571i | 0.398485 | − | 1.00464i | ||||
\(969\) | −0.389123 | −0.0125004 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −13.2262 | − | 40.7060i | −0.424448 | − | 1.30632i | −0.903522 | − | 0.428542i | \(-0.859027\pi\) |
0.479074 | − | 0.877775i | \(-0.340973\pi\) | |||||||
\(972\) | 1.36498 | − | 4.20097i | 0.0437817 | − | 0.134746i | ||||
\(973\) | 17.3669 | + | 12.6178i | 0.556757 | + | 0.404508i | ||||
\(974\) | 34.0738 | + | 24.7561i | 1.09179 | + | 0.793235i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −12.3460 | − | 37.9970i | −0.395185 | − | 1.21625i | ||||
\(977\) | −9.86772 | + | 7.16932i | −0.315696 | + | 0.229367i | −0.734337 | − | 0.678785i | \(-0.762507\pi\) |
0.418640 | + | 0.908152i | \(0.362507\pi\) | |||||||
\(978\) | 4.01584 | 0.128412 | ||||||||
\(979\) | 7.76378 | + | 2.79784i | 0.248131 | + | 0.0894195i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −11.4662 | + | 8.33070i | −0.366088 | + | 0.265979i | ||||
\(982\) | −1.21807 | − | 3.74884i | −0.0388702 | − | 0.119630i | ||||
\(983\) | 4.34697 | − | 13.3786i | 0.138647 | − | 0.426711i | −0.857493 | − | 0.514496i | \(-0.827979\pi\) |
0.996139 | + | 0.0877853i | \(0.0279789\pi\) | |||||||
\(984\) | 4.60153 | + | 3.34321i | 0.146692 | + | 0.106578i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −4.88018 | + | 15.0196i | −0.155416 | + | 0.478323i | ||||
\(987\) | −1.43221 | − | 4.40788i | −0.0455877 | − | 0.140305i | ||||
\(988\) | −0.295744 | + | 0.214871i | −0.00940887 | + | 0.00683595i | ||||
\(989\) | −21.3790 | −0.679811 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9455 | −0.728887 | −0.364444 | − | 0.931225i | \(-0.618741\pi\) | ||||
−0.364444 | + | 0.931225i | \(0.618741\pi\) | |||||||
\(992\) | −1.20370 | + | 0.874542i | −0.0382176 | + | 0.0277667i | ||||
\(993\) | −1.41938 | − | 4.36840i | −0.0450426 | − | 0.138627i | ||||
\(994\) | −8.28292 | + | 25.4922i | −0.262718 | + | 0.808564i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.463351 | + | 0.336645i | 0.0146819 | + | 0.0106670i | ||||
\(997\) | 1.12311 | − | 3.45659i | 0.0355694 | − | 0.109471i | −0.931695 | − | 0.363240i | \(-0.881670\pi\) |
0.967265 | + | 0.253769i | \(0.0816703\pi\) | |||||||
\(998\) | 2.48948 | + | 7.66183i | 0.0788031 | + | 0.242531i | ||||
\(999\) | −0.902916 | + | 0.656007i | −0.0285670 | + | 0.0207551i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))