Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 106.3 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.40744 | − | 0.511718i | −1.70232 | − | 0.361839i | −0.748712 | − | 0.662895i | \(-0.769327\pi\) |
−0.953606 | + | 0.301056i | \(0.902661\pi\) | |||||||
\(3\) | 1.05412 | + | 1.37435i | 0.608594 | + | 0.793482i | ||||
\(4\) | 3.70683 | + | 1.65039i | 1.85341 | + | 0.825193i | ||||
\(5\) | 1.50334 | + | 1.65528i | 0.672316 | + | 0.740264i | ||||
\(6\) | −1.83444 | − | 3.84808i | −0.748908 | − | 1.57097i | ||||
\(7\) | 2.55879 | − | 4.43196i | 0.967132 | − | 1.67512i | 0.263357 | − | 0.964698i | \(-0.415170\pi\) |
0.703775 | − | 0.710423i | \(-0.251496\pi\) | |||||||
\(8\) | −4.09710 | − | 2.97672i | −1.44854 | − | 1.05243i | ||||
\(9\) | −0.777680 | + | 2.89745i | −0.259227 | + | 0.965817i | ||||
\(10\) | −2.77218 | − | 4.75428i | −0.876639 | − | 1.50344i | ||||
\(11\) | 1.54858 | + | 0.329161i | 0.466914 | + | 0.0992457i | 0.435360 | − | 0.900256i | \(-0.356621\pi\) |
0.0315541 | + | 0.999502i | \(0.489954\pi\) | |||||||
\(12\) | 1.63922 | + | 6.83418i | 0.473201 | + | 1.97286i | ||||
\(13\) | −0.872558 | + | 0.185468i | −0.242004 | + | 0.0514396i | −0.327317 | − | 0.944915i | \(-0.606144\pi\) |
0.0853127 | + | 0.996354i | \(0.472811\pi\) | |||||||
\(14\) | −8.42805 | + | 9.36030i | −2.25249 | + | 2.50164i | ||||
\(15\) | −0.690238 | + | 3.81098i | −0.178219 | + | 0.983991i | ||||
\(16\) | 2.91012 | + | 3.23201i | 0.727529 | + | 0.808003i | ||||
\(17\) | −3.04259 | − | 2.21057i | −0.737936 | − | 0.536142i | 0.154128 | − | 0.988051i | \(-0.450743\pi\) |
−0.892064 | + | 0.451909i | \(0.850743\pi\) | |||||||
\(18\) | 3.35489 | − | 6.57749i | 0.790756 | − | 1.55033i | ||||
\(19\) | 3.69404 | + | 2.68388i | 0.847472 | + | 0.615724i | 0.924448 | − | 0.381309i | \(-0.124527\pi\) |
−0.0769761 | + | 0.997033i | \(0.524527\pi\) | |||||||
\(20\) | 2.84079 | + | 8.61695i | 0.635219 | + | 1.92681i | ||||
\(21\) | 8.78832 | − | 1.15512i | 1.91777 | − | 0.252068i | ||||
\(22\) | −3.55968 | − | 1.58487i | −0.758926 | − | 0.337896i | ||||
\(23\) | 3.66725 | − | 4.07289i | 0.764674 | − | 0.849257i | −0.227544 | − | 0.973768i | \(-0.573070\pi\) |
0.992218 | + | 0.124511i | \(0.0397363\pi\) | |||||||
\(24\) | −0.227764 | − | 8.76865i | −0.0464922 | − | 1.78989i | ||||
\(25\) | −0.479912 | + | 4.97692i | −0.0959825 | + | 0.995383i | ||||
\(26\) | 2.19554 | 0.430581 | ||||||||
\(27\) | −4.80188 | + | 1.98544i | −0.924122 | + | 0.382099i | ||||
\(28\) | 16.7994 | − | 12.2055i | 3.17480 | − | 2.30662i | ||||
\(29\) | 0.00441000 | + | 0.0419584i | 0.000818917 | + | 0.00779148i | 0.994924 | − | 0.100632i | \(-0.0320864\pi\) |
−0.994105 | + | 0.108423i | \(0.965420\pi\) | |||||||
\(30\) | 3.61185 | − | 8.82151i | 0.659431 | − | 1.61058i | ||||
\(31\) | −0.205934 | + | 1.95934i | −0.0369869 | + | 0.351907i | 0.960340 | + | 0.278833i | \(0.0899476\pi\) |
−0.997327 | + | 0.0730740i | \(0.976719\pi\) | |||||||
\(32\) | −0.287768 | − | 0.498429i | −0.0508707 | − | 0.0881106i | ||||
\(33\) | 1.18000 | + | 2.47526i | 0.205412 | + | 0.430888i | ||||
\(34\) | 6.19366 | + | 6.87876i | 1.06220 | + | 1.17970i | ||||
\(35\) | 11.1829 | − | 2.42724i | 1.89025 | − | 0.410278i | ||||
\(36\) | −7.66464 | + | 9.45688i | −1.27744 | + | 1.57615i | ||||
\(37\) | −1.43995 | + | 4.43171i | −0.236726 | + | 0.728569i | 0.760161 | + | 0.649734i | \(0.225120\pi\) |
−0.996888 | + | 0.0788345i | \(0.974880\pi\) | |||||||
\(38\) | −7.51981 | − | 8.35159i | −1.21987 | − | 1.35481i | ||||
\(39\) | −1.17468 | − | 1.00370i | −0.188099 | − | 0.160720i | ||||
\(40\) | −1.23205 | − | 11.2569i | −0.194804 | − | 1.77987i | ||||
\(41\) | −0.748156 | + | 0.159025i | −0.116842 | + | 0.0248356i | −0.265962 | − | 0.963984i | \(-0.585689\pi\) |
0.149119 | + | 0.988819i | \(0.452356\pi\) | |||||||
\(42\) | −21.7485 | − | 1.71626i | −3.35586 | − | 0.264824i | ||||
\(43\) | −4.11709 | + | 7.13101i | −0.627850 | + | 1.08747i | 0.360132 | + | 0.932901i | \(0.382732\pi\) |
−0.987982 | + | 0.154567i | \(0.950602\pi\) | |||||||
\(44\) | 5.19708 | + | 3.77590i | 0.783489 | + | 0.569238i | ||||
\(45\) | −5.96521 | + | 3.06859i | −0.889242 | + | 0.457438i | ||||
\(46\) | −10.9129 | + | 7.92865i | −1.60901 | + | 1.16902i | ||||
\(47\) | −0.426471 | − | 4.05760i | −0.0622072 | − | 0.591862i | −0.980576 | − | 0.196137i | \(-0.937160\pi\) |
0.918369 | − | 0.395725i | \(-0.129507\pi\) | |||||||
\(48\) | −1.37432 | + | 7.40644i | −0.198366 | + | 1.06903i | ||||
\(49\) | −9.59482 | − | 16.6187i | −1.37069 | − | 2.37410i | ||||
\(50\) | 3.70214 | − | 11.7361i | 0.523561 | − | 1.65973i | ||||
\(51\) | −0.169142 | − | 6.51178i | −0.0236847 | − | 0.911831i | ||||
\(52\) | −3.54052 | − | 0.752561i | −0.490982 | − | 0.104361i | ||||
\(53\) | −2.00012 | + | 1.45317i | −0.274737 | + | 0.199608i | −0.716619 | − | 0.697465i | \(-0.754311\pi\) |
0.441882 | + | 0.897073i | \(0.354311\pi\) | |||||||
\(54\) | 12.5762 | − | 2.32263i | 1.71141 | − | 0.316071i | ||||
\(55\) | 1.78319 | + | 3.05818i | 0.240446 | + | 0.412364i | ||||
\(56\) | −23.6763 | + | 10.5414i | −3.16388 | + | 1.40865i | ||||
\(57\) | 0.205358 | + | 7.90603i | 0.0272003 | + | 1.04718i | ||||
\(58\) | 0.0108540 | − | 0.103269i | 0.00142520 | − | 0.0135599i | ||||
\(59\) | −9.31606 | + | 1.98019i | −1.21285 | + | 0.257799i | −0.769557 | − | 0.638579i | \(-0.779523\pi\) |
−0.443292 | + | 0.896377i | \(0.646189\pi\) | |||||||
\(60\) | −8.84819 | + | 12.9875i | −1.14230 | + | 1.67668i | ||||
\(61\) | 7.08784 | + | 1.50657i | 0.907505 | + | 0.192896i | 0.637940 | − | 0.770086i | \(-0.279787\pi\) |
0.269565 | + | 0.962982i | \(0.413120\pi\) | |||||||
\(62\) | 1.49840 | − | 4.61160i | 0.190297 | − | 0.585674i | ||||
\(63\) | 10.8514 | + | 10.8606i | 1.36715 | + | 1.36831i | ||||
\(64\) | −2.25016 | − | 6.92529i | −0.281270 | − | 0.865661i | ||||
\(65\) | −1.61876 | − | 1.16551i | −0.200782 | − | 0.144563i | ||||
\(66\) | −1.57414 | − | 6.56288i | −0.193764 | − | 0.807835i | ||||
\(67\) | −0.375946 | + | 3.57689i | −0.0459291 | + | 0.436986i | 0.947259 | + | 0.320468i | \(0.103840\pi\) |
−0.993189 | + | 0.116519i | \(0.962827\pi\) | |||||||
\(68\) | −7.63006 | − | 13.2156i | −0.925280 | − | 1.60263i | ||||
\(69\) | 9.46329 | + | 0.746785i | 1.13925 | + | 0.0899024i | ||||
\(70\) | −28.1642 | + | 0.120956i | −3.36626 | + | 0.0144570i | ||||
\(71\) | −1.57130 | + | 1.14162i | −0.186479 | + | 0.135485i | −0.677108 | − | 0.735884i | \(-0.736767\pi\) |
0.490629 | + | 0.871369i | \(0.336767\pi\) | |||||||
\(72\) | 11.8111 | − | 9.55620i | 1.39195 | − | 1.12621i | ||||
\(73\) | −4.42033 | − | 13.6044i | −0.517361 | − | 1.59227i | −0.778945 | − | 0.627093i | \(-0.784245\pi\) |
0.261584 | − | 0.965181i | \(-0.415755\pi\) | |||||||
\(74\) | 5.73438 | − | 9.93224i | 0.666608 | − | 1.15460i | ||||
\(75\) | −7.34591 | + | 4.58668i | −0.848233 | + | 0.529624i | ||||
\(76\) | 9.26375 | + | 16.0453i | 1.06262 | + | 1.84052i | ||||
\(77\) | 5.42132 | − | 6.02098i | 0.617816 | − | 0.686155i | ||||
\(78\) | 2.31435 | + | 3.01744i | 0.262049 | + | 0.341658i | ||||
\(79\) | −0.355789 | − | 3.38511i | −0.0400294 | − | 0.380855i | −0.996135 | − | 0.0878329i | \(-0.972006\pi\) |
0.956106 | − | 0.293022i | \(-0.0946608\pi\) | |||||||
\(80\) | −0.974982 | + | 9.67589i | −0.109006 | + | 1.08180i | ||||
\(81\) | −7.79043 | − | 4.50657i | −0.865603 | − | 0.500731i | ||||
\(82\) | 1.88252 | 0.207889 | ||||||||
\(83\) | −3.54787 | + | 1.57961i | −0.389429 | + | 0.173385i | −0.592105 | − | 0.805861i | \(-0.701703\pi\) |
0.202676 | + | 0.979246i | \(0.435036\pi\) | |||||||
\(84\) | 34.4832 | + | 10.2223i | 3.76243 | + | 1.11534i | ||||
\(85\) | −0.914942 | − | 8.35958i | −0.0992394 | − | 0.906724i | ||||
\(86\) | 13.5607 | − | 15.0607i | 1.46229 | − | 1.62404i | ||||
\(87\) | −0.0530169 | + | 0.0502899i | −0.00568401 | + | 0.00539164i | ||||
\(88\) | −5.36486 | − | 5.95828i | −0.571896 | − | 0.635155i | ||||
\(89\) | −0.935601 | − | 2.87948i | −0.0991735 | − | 0.305225i | 0.889145 | − | 0.457625i | \(-0.151300\pi\) |
−0.988319 | + | 0.152400i | \(0.951300\pi\) | |||||||
\(90\) | 15.9312 | − | 4.33494i | 1.67929 | − | 0.456942i | ||||
\(91\) | −1.41071 | + | 4.34171i | −0.147882 | + | 0.455135i | ||||
\(92\) | 20.3157 | − | 9.04514i | 2.11806 | − | 0.943021i | ||||
\(93\) | −2.90989 | + | 1.78234i | −0.301742 | + | 0.184820i | ||||
\(94\) | −1.04964 | + | 9.98667i | −0.108262 | + | 1.03005i | ||||
\(95\) | 1.11084 | + | 10.1495i | 0.113970 | + | 1.04131i | ||||
\(96\) | 0.381675 | − | 0.920896i | 0.0389546 | − | 0.0939886i | ||||
\(97\) | 0.544048 | + | 5.17627i | 0.0552397 | + | 0.525571i | 0.986795 | + | 0.161972i | \(0.0517854\pi\) |
−0.931556 | + | 0.363599i | \(0.881548\pi\) | |||||||
\(98\) | 14.5949 | + | 44.9184i | 1.47431 | + | 4.53744i | ||||
\(99\) | −2.15803 | + | 4.23095i | −0.216890 | + | 0.425226i | ||||
\(100\) | −9.99279 | + | 17.6565i | −0.999279 | + | 1.76565i | ||||
\(101\) | 7.78401 | − | 13.4823i | 0.774538 | − | 1.34154i | −0.160516 | − | 0.987033i | \(-0.551316\pi\) |
0.935054 | − | 0.354506i | \(-0.115351\pi\) | |||||||
\(102\) | −2.92499 | + | 15.7633i | −0.289617 | + | 1.56080i | ||||
\(103\) | −14.5392 | − | 6.47329i | −1.43259 | − | 0.637832i | −0.463854 | − | 0.885912i | \(-0.653534\pi\) |
−0.968740 | + | 0.248080i | \(0.920200\pi\) | |||||||
\(104\) | 4.12704 | + | 1.83748i | 0.404690 | + | 0.180179i | ||||
\(105\) | 15.1239 | + | 12.8106i | 1.47594 | + | 1.25019i | ||||
\(106\) | 5.55878 | − | 2.47493i | 0.539916 | − | 0.240386i | ||||
\(107\) | 2.75485 | 0.266322 | 0.133161 | − | 0.991094i | \(-0.457487\pi\) | ||||
0.133161 | + | 0.991094i | \(0.457487\pi\) | |||||||
\(108\) | −21.0765 | − | 0.565254i | −2.02809 | − | 0.0543916i | ||||
\(109\) | 3.89734 | − | 11.9948i | 0.373297 | − | 1.14889i | −0.571323 | − | 0.820726i | \(-0.693570\pi\) |
0.944620 | − | 0.328166i | \(-0.106430\pi\) | |||||||
\(110\) | −2.72801 | − | 8.27487i | −0.260106 | − | 0.788978i | ||||
\(111\) | −7.60860 | + | 2.69254i | −0.722176 | + | 0.255565i | ||||
\(112\) | 21.7705 | − | 4.62747i | 2.05712 | − | 0.437254i | ||||
\(113\) | 12.4858 | − | 2.65395i | 1.17457 | − | 0.249662i | 0.421018 | − | 0.907052i | \(-0.361673\pi\) |
0.753550 | + | 0.657390i | \(0.228340\pi\) | |||||||
\(114\) | 3.55127 | − | 19.1384i | 0.332607 | − | 1.79247i | ||||
\(115\) | 12.2549 | − | 0.0526309i | 1.14278 | − | 0.00490785i | ||||
\(116\) | −0.0529004 | + | 0.162811i | −0.00491168 | + | 0.0151166i | ||||
\(117\) | 0.141187 | − | 2.67243i | 0.0130527 | − | 0.247066i | ||||
\(118\) | 23.4412 | 2.15794 | ||||||||
\(119\) | −17.5825 | + | 7.82823i | −1.61178 | + | 0.717612i | ||||
\(120\) | 14.1722 | − | 13.5593i | 1.29374 | − | 1.23779i | ||||
\(121\) | −7.75925 | − | 3.45464i | −0.705386 | − | 0.314058i | ||||
\(122\) | −16.2926 | − | 7.25394i | −1.47506 | − | 0.656741i | ||||
\(123\) | −1.00720 | − | 0.860597i | −0.0908161 | − | 0.0775974i | ||||
\(124\) | −3.99702 | + | 6.92305i | −0.358943 | + | 0.621708i | ||||
\(125\) | −8.95967 | + | 6.68763i | −0.801377 | + | 0.598160i | ||||
\(126\) | −20.5667 | − | 31.6992i | −1.83222 | − | 2.82399i | ||||
\(127\) | −2.35801 | − | 7.25722i | −0.209240 | − | 0.643974i | −0.999513 | − | 0.0312188i | \(-0.990061\pi\) |
0.790273 | − | 0.612755i | \(-0.209939\pi\) | |||||||
\(128\) | 1.99366 | + | 18.9684i | 0.176217 | + | 1.67659i | ||||
\(129\) | −14.1404 | + | 1.85858i | −1.24499 | + | 0.163639i | ||||
\(130\) | 3.30065 | + | 3.63424i | 0.289486 | + | 0.318744i | ||||
\(131\) | −0.271722 | + | 2.58526i | −0.0237404 | + | 0.225875i | 0.976218 | + | 0.216790i | \(0.0695586\pi\) |
−0.999959 | + | 0.00908528i | \(0.997108\pi\) | |||||||
\(132\) | 0.288914 | + | 11.1228i | 0.0251467 | + | 0.968119i | ||||
\(133\) | 21.3471 | − | 9.50435i | 1.85103 | − | 0.824131i | ||||
\(134\) | 2.73542 | − | 8.41877i | 0.236305 | − | 0.727271i | ||||
\(135\) | −10.5053 | − | 4.96365i | −0.904156 | − | 0.427203i | ||||
\(136\) | 5.88554 | + | 18.1138i | 0.504681 | + | 1.55325i | ||||
\(137\) | 3.75593 | + | 4.17139i | 0.320891 | + | 0.356386i | 0.881910 | − | 0.471417i | \(-0.156257\pi\) |
−0.561019 | + | 0.827803i | \(0.689591\pi\) | |||||||
\(138\) | −22.4002 | − | 6.64037i | −1.90683 | − | 0.565266i | ||||
\(139\) | −1.15390 | + | 1.28154i | −0.0978727 | + | 0.108699i | −0.790091 | − | 0.612989i | \(-0.789967\pi\) |
0.692218 | + | 0.721688i | \(0.256633\pi\) | |||||||
\(140\) | 45.4589 | + | 9.45872i | 3.84198 | + | 0.799408i | ||||
\(141\) | 5.12702 | − | 4.86330i | 0.431773 | − | 0.409564i | ||||
\(142\) | 4.36700 | − | 1.94432i | 0.366471 | − | 0.163163i | ||||
\(143\) | −1.41227 | −0.118100 | ||||||||
\(144\) | −11.6277 | + | 5.91845i | −0.968978 | + | 0.493204i | ||||
\(145\) | −0.0628232 | + | 0.0703777i | −0.00521718 | + | 0.00584455i | ||||
\(146\) | 3.68009 | + | 35.0137i | 0.304567 | + | 2.89776i | ||||
\(147\) | 12.7259 | − | 30.7047i | 1.04961 | − | 2.53248i | ||||
\(148\) | −12.6517 | + | 14.0511i | −1.03996 | + | 1.15500i | ||||
\(149\) | −6.23532 | − | 10.7999i | −0.510817 | − | 0.884761i | −0.999921 | − | 0.0125357i | \(-0.996010\pi\) |
0.489104 | − | 0.872225i | \(-0.337324\pi\) | |||||||
\(150\) | 20.0319 | − | 7.28313i | 1.63560 | − | 0.594665i | ||||
\(151\) | −3.71371 | + | 6.43234i | −0.302218 | + | 0.523457i | −0.976638 | − | 0.214891i | \(-0.931060\pi\) |
0.674420 | + | 0.738348i | \(0.264394\pi\) | |||||||
\(152\) | −7.14571 | − | 21.9922i | −0.579594 | − | 1.78381i | ||||
\(153\) | 8.77117 | − | 7.09663i | 0.709107 | − | 0.573728i | ||||
\(154\) | −16.1325 | + | 11.7210i | −1.30000 | + | 0.944503i | ||||
\(155\) | −3.55284 | + | 2.60468i | −0.285371 | + | 0.209213i | ||||
\(156\) | −2.69783 | − | 5.65920i | −0.216000 | − | 0.453099i | ||||
\(157\) | 4.70564 | + | 8.15040i | 0.375551 | + | 0.650473i | 0.990409 | − | 0.138164i | \(-0.0441202\pi\) |
−0.614859 | + | 0.788637i | \(0.710787\pi\) | |||||||
\(158\) | −0.875678 | + | 8.33152i | −0.0696652 | + | 0.662820i | ||||
\(159\) | −4.10552 | − | 1.21705i | −0.325589 | − | 0.0965185i | ||||
\(160\) | 0.392426 | − | 1.22565i | 0.0310240 | − | 0.0968960i | ||||
\(161\) | −8.66715 | − | 26.6748i | −0.683067 | − | 2.10227i | ||||
\(162\) | 16.4489 | + | 14.8358i | 1.29235 | + | 1.16561i | ||||
\(163\) | −0.969935 | + | 2.98515i | −0.0759712 | + | 0.233815i | −0.981829 | − | 0.189766i | \(-0.939227\pi\) |
0.905858 | + | 0.423581i | \(0.139227\pi\) | |||||||
\(164\) | −3.03574 | − | 0.645266i | −0.237051 | − | 0.0503868i | ||||
\(165\) | −2.32331 | + | 5.67441i | −0.180870 | + | 0.441752i | ||||
\(166\) | 9.34960 | − | 1.98732i | 0.725669 | − | 0.154246i | ||||
\(167\) | −0.299893 | + | 2.85329i | −0.0232064 | + | 0.220794i | 0.976772 | + | 0.214279i | \(0.0687403\pi\) |
−0.999979 | + | 0.00651456i | \(0.997926\pi\) | |||||||
\(168\) | −39.4451 | − | 21.4277i | −3.04325 | − | 1.65318i | ||||
\(169\) | −11.1491 | + | 4.96391i | −0.857625 | + | 0.381839i | ||||
\(170\) | −2.07507 | + | 20.5934i | −0.159151 | + | 1.57944i | ||||
\(171\) | −10.6492 | + | 8.61611i | −0.814364 | + | 0.658890i | ||||
\(172\) | −27.0303 | + | 19.6386i | −2.06104 | + | 1.49743i | ||||
\(173\) | −15.5462 | − | 3.30444i | −1.18195 | − | 0.251232i | −0.425303 | − | 0.905051i | \(-0.639832\pi\) |
−0.756651 | + | 0.653819i | \(0.773166\pi\) | |||||||
\(174\) | 0.153369 | − | 0.0939403i | 0.0116269 | − | 0.00712160i | ||||
\(175\) | 20.8295 | + | 14.8618i | 1.57456 | + | 1.12345i | ||||
\(176\) | 3.44270 | + | 5.96292i | 0.259503 | + | 0.449472i | ||||
\(177\) | −12.5417 | − | 10.7162i | −0.942691 | − | 0.805478i | ||||
\(178\) | 0.778923 | + | 7.41096i | 0.0583827 | + | 0.555475i | ||||
\(179\) | 14.4077 | − | 10.4678i | 1.07688 | − | 0.782399i | 0.0997433 | − | 0.995013i | \(-0.468198\pi\) |
0.977136 | + | 0.212614i | \(0.0681978\pi\) | |||||||
\(180\) | −27.1764 | + | 1.52981i | −2.02561 | + | 0.114026i | ||||
\(181\) | 14.8249 | + | 10.7709i | 1.10192 | + | 0.800594i | 0.981373 | − | 0.192114i | \(-0.0615342\pi\) |
0.120550 | + | 0.992707i | \(0.461534\pi\) | |||||||
\(182\) | 5.61793 | − | 9.73054i | 0.416429 | − | 0.721275i | ||||
\(183\) | 5.40085 | + | 11.3293i | 0.399242 | + | 0.837484i | ||||
\(184\) | −27.1489 | + | 5.77068i | −2.00144 | + | 0.425420i | ||||
\(185\) | −9.50047 | + | 4.27886i | −0.698488 | + | 0.314588i | ||||
\(186\) | 7.91745 | − | 2.80184i | 0.580536 | − | 0.205441i | ||||
\(187\) | −3.98405 | − | 4.42474i | −0.291343 | − | 0.323569i | ||||
\(188\) | 5.11576 | − | 15.7447i | 0.373105 | − | 1.14830i | ||||
\(189\) | −3.48760 | + | 26.3620i | −0.253686 | + | 1.91756i | ||||
\(190\) | 2.51937 | − | 25.0027i | 0.182775 | − | 1.81389i | ||||
\(191\) | 7.36816 | + | 8.18317i | 0.533141 | + | 0.592114i | 0.948197 | − | 0.317682i | \(-0.102905\pi\) |
−0.415056 | + | 0.909796i | \(0.636238\pi\) | |||||||
\(192\) | 7.14584 | − | 10.3926i | 0.515707 | − | 0.750019i | ||||
\(193\) | −3.22947 | − | 5.59361i | −0.232463 | − | 0.402637i | 0.726070 | − | 0.687621i | \(-0.241345\pi\) |
−0.958532 | + | 0.284984i | \(0.908012\pi\) | |||||||
\(194\) | 1.33902 | − | 12.7400i | 0.0961364 | − | 0.914676i | ||||
\(195\) | −0.104542 | − | 3.45332i | −0.00748641 | − | 0.247297i | ||||
\(196\) | −8.13905 | − | 77.4379i | −0.581361 | − | 5.53128i | ||||
\(197\) | −20.4081 | + | 14.8274i | −1.45402 | + | 1.05641i | −0.469145 | + | 0.883121i | \(0.655438\pi\) |
−0.984872 | + | 0.173284i | \(0.944562\pi\) | |||||||
\(198\) | 7.36037 | − | 9.08147i | 0.523079 | − | 0.645392i | ||||
\(199\) | 2.48202 | 0.175946 | 0.0879729 | − | 0.996123i | \(-0.471961\pi\) | ||||
0.0879729 | + | 0.996123i | \(0.471961\pi\) | |||||||
\(200\) | 16.7811 | − | 18.9623i | 1.18660 | − | 1.34084i | ||||
\(201\) | −5.31219 | + | 3.25377i | −0.374693 | + | 0.229503i | ||||
\(202\) | −25.6387 | + | 28.4746i | −1.80393 | + | 2.00347i | ||||
\(203\) | 0.197242 | + | 0.0878178i | 0.0138437 | + | 0.00616360i | ||||
\(204\) | 10.1200 | − | 24.4172i | 0.708539 | − | 1.70955i | ||||
\(205\) | −1.38797 | − | 0.999338i | −0.0969399 | − | 0.0697968i | ||||
\(206\) | 31.6899 | + | 23.0240i | 2.20794 | + | 1.60416i | ||||
\(207\) | 8.94905 | + | 13.7931i | 0.622002 | + | 0.958685i | ||||
\(208\) | −3.13868 | − | 2.28039i | −0.217628 | − | 0.158116i | ||||
\(209\) | 4.83709 | + | 5.37213i | 0.334589 | + | 0.371598i | ||||
\(210\) | −29.8545 | − | 38.5800i | −2.06016 | − | 2.66227i | ||||
\(211\) | −4.61440 | + | 5.12481i | −0.317669 | + | 0.352807i | −0.880739 | − | 0.473602i | \(-0.842953\pi\) |
0.563070 | + | 0.826409i | \(0.309620\pi\) | |||||||
\(212\) | −9.81238 | + | 2.08569i | −0.673917 | + | 0.143246i | ||||
\(213\) | −3.22532 | − | 0.956123i | −0.220995 | − | 0.0655124i | ||||
\(214\) | −6.63215 | − | 1.40971i | −0.453365 | − | 0.0963656i | ||||
\(215\) | −17.9932 | + | 3.90542i | −1.22713 | + | 0.266347i | ||||
\(216\) | 25.5839 | + | 6.15927i | 1.74076 | + | 0.419085i | ||||
\(217\) | 8.15674 | + | 5.92622i | 0.553716 | + | 0.402298i | ||||
\(218\) | −15.5206 | + | 26.8824i | −1.05118 | + | 1.82071i | ||||
\(219\) | 14.0377 | − | 20.4157i | 0.948577 | − | 1.37956i | ||||
\(220\) | 1.56282 | + | 14.2791i | 0.105366 | + | 0.962697i | ||||
\(221\) | 3.06482 | + | 1.36455i | 0.206162 | + | 0.0917894i | ||||
\(222\) | 19.6951 | − | 2.58868i | 1.32185 | − | 0.173741i | ||||
\(223\) | 12.9012 | + | 2.74223i | 0.863927 | + | 0.183633i | 0.618503 | − | 0.785782i | \(-0.287739\pi\) |
0.245424 | + | 0.969416i | \(0.421073\pi\) | |||||||
\(224\) | −2.94535 | −0.196795 | ||||||||
\(225\) | −14.0471 | − | 5.26097i | −0.936476 | − | 0.350731i | ||||
\(226\) | −31.4170 | −2.08983 | ||||||||
\(227\) | 17.1480 | + | 3.64491i | 1.13815 | + | 0.241921i | 0.738178 | − | 0.674606i | \(-0.235686\pi\) |
0.399973 | + | 0.916527i | \(0.369020\pi\) | |||||||
\(228\) | −12.2868 | + | 29.6452i | −0.813712 | + | 1.96330i | ||||
\(229\) | 14.8442 | + | 6.60908i | 0.980935 | + | 0.436740i | 0.833613 | − | 0.552348i | \(-0.186268\pi\) |
0.147321 | + | 0.989089i | \(0.452935\pi\) | |||||||
\(230\) | −29.5299 | − | 6.14435i | −1.94715 | − | 0.405146i | ||||
\(231\) | 13.9896 | + | 1.10398i | 0.920450 | + | 0.0726364i | ||||
\(232\) | 0.106830 | − | 0.185035i | 0.00701373 | − | 0.0121481i | ||||
\(233\) | −15.4281 | − | 11.2092i | −1.01073 | − | 0.734339i | −0.0463684 | − | 0.998924i | \(-0.514765\pi\) |
−0.964362 | + | 0.264586i | \(0.914765\pi\) | |||||||
\(234\) | −1.70743 | + | 6.36147i | −0.111618 | + | 0.415862i | ||||
\(235\) | 6.07534 | − | 6.80590i | 0.396311 | − | 0.443968i | ||||
\(236\) | −37.8011 | − | 8.03488i | −2.46064 | − | 0.523026i | ||||
\(237\) | 4.27728 | − | 4.05728i | 0.277839 | − | 0.263548i | ||||
\(238\) | 46.3346 | − | 9.84873i | 3.00343 | − | 0.638398i | ||||
\(239\) | −4.66262 | + | 5.17837i | −0.301600 | + | 0.334961i | −0.874827 | − | 0.484436i | \(-0.839025\pi\) |
0.573227 | + | 0.819397i | \(0.305691\pi\) | |||||||
\(240\) | −14.3258 | + | 8.85954i | −0.924727 | + | 0.571881i | ||||
\(241\) | −2.02990 | − | 2.25444i | −0.130758 | − | 0.145221i | 0.674210 | − | 0.738539i | \(-0.264484\pi\) |
−0.804968 | + | 0.593318i | \(0.797817\pi\) | |||||||
\(242\) | 16.9121 | + | 12.2874i | 1.08715 | + | 0.789863i | ||||
\(243\) | −2.01840 | − | 15.4572i | −0.129480 | − | 0.991582i | ||||
\(244\) | 23.7870 | + | 17.2823i | 1.52281 | + | 1.10638i | ||||
\(245\) | 13.0843 | − | 40.8658i | 0.835927 | − | 2.61082i | ||||
\(246\) | 1.98439 | + | 2.58724i | 0.126520 | + | 0.164956i | ||||
\(247\) | −3.72104 | − | 1.65671i | −0.236764 | − | 0.105414i | ||||
\(248\) | 6.67612 | − | 7.41458i | 0.423934 | − | 0.470826i | ||||
\(249\) | −5.91080 | − | 3.21092i | −0.374582 | − | 0.203484i | ||||
\(250\) | 24.9921 | − | 11.5153i | 1.58064 | − | 0.728288i | ||||
\(251\) | 14.6208 | 0.922854 | 0.461427 | − | 0.887178i | \(-0.347338\pi\) | ||||
0.461427 | + | 0.887178i | \(0.347338\pi\) | |||||||
\(252\) | 22.3003 | + | 58.1675i | 1.40478 | + | 3.66421i | ||||
\(253\) | 7.01966 | − | 5.10008i | 0.441322 | − | 0.320639i | ||||
\(254\) | 1.96313 | + | 18.6780i | 0.123178 | + | 1.17196i | ||||
\(255\) | 10.5245 | − | 10.0694i | 0.659072 | − | 0.630571i | ||||
\(256\) | 3.38457 | − | 32.2020i | 0.211536 | − | 2.01263i | ||||
\(257\) | 8.94002 | + | 15.4846i | 0.557663 | + | 0.965900i | 0.997691 | + | 0.0679164i | \(0.0216351\pi\) |
−0.440028 | + | 0.897984i | \(0.645032\pi\) | |||||||
\(258\) | 34.9932 | + | 2.76145i | 2.17858 | + | 0.171921i | ||||
\(259\) | 15.9566 | + | 17.7216i | 0.991496 | + | 1.10117i | ||||
\(260\) | −4.07692 | − | 6.99191i | −0.252840 | − | 0.433620i | ||||
\(261\) | −0.125002 | − | 0.0198524i | −0.00773742 | − | 0.00122883i | ||||
\(262\) | 1.97708 | − | 6.08482i | 0.122144 | − | 0.375921i | ||||
\(263\) | 8.20941 | + | 9.11748i | 0.506214 | + | 0.562208i | 0.941035 | − | 0.338309i | \(-0.109855\pi\) |
−0.434821 | + | 0.900517i | \(0.643188\pi\) | |||||||
\(264\) | 2.53358 | − | 13.6539i | 0.155931 | − | 0.840341i | ||||
\(265\) | −5.41227 | − | 1.12614i | −0.332473 | − | 0.0691783i | ||||
\(266\) | −56.2555 | + | 11.9575i | −3.44924 | + | 0.733160i | ||||
\(267\) | 2.97119 | − | 4.32115i | 0.181834 | − | 0.264450i | ||||
\(268\) | −7.29682 | + | 12.6385i | −0.445724 | + | 0.772017i | ||||
\(269\) | −18.8007 | − | 13.6595i | −1.14630 | − | 0.832835i | −0.158314 | − | 0.987389i | \(-0.550606\pi\) |
−0.987984 | + | 0.154554i | \(0.950606\pi\) | |||||||
\(270\) | 22.7510 | + | 17.3255i | 1.38458 | + | 1.05439i | ||||
\(271\) | 22.0116 | − | 15.9923i | 1.33711 | − | 0.971466i | 0.337563 | − | 0.941303i | \(-0.390397\pi\) |
0.999545 | − | 0.0301632i | \(-0.00960270\pi\) | |||||||
\(272\) | −1.70970 | − | 16.2667i | −0.103666 | − | 0.986313i | ||||
\(273\) | −7.45409 | + | 2.63786i | −0.451142 | + | 0.159651i | ||||
\(274\) | −6.90762 | − | 11.9643i | −0.417305 | − | 0.722793i | ||||
\(275\) | −2.38139 | + | 7.54918i | −0.143603 | + | 0.455233i | ||||
\(276\) | 33.8463 | + | 18.3863i | 2.03731 | + | 1.10672i | ||||
\(277\) | −17.2246 | − | 3.66120i | −1.03493 | − | 0.219980i | −0.341028 | − | 0.940053i | \(-0.610775\pi\) |
−0.693898 | + | 0.720073i | \(0.744108\pi\) | |||||||
\(278\) | 3.43374 | − | 2.49476i | 0.205942 | − | 0.149626i | ||||
\(279\) | −5.51692 | − | 2.12042i | −0.330290 | − | 0.126946i | ||||
\(280\) | −53.0425 | − | 23.3436i | −3.16990 | − | 1.39505i | ||||
\(281\) | 13.1803 | − | 5.86826i | 0.786272 | − | 0.350071i | 0.0259884 | − | 0.999662i | \(-0.491727\pi\) |
0.760283 | + | 0.649591i | \(0.225060\pi\) | |||||||
\(282\) | −14.8316 | + | 9.08453i | −0.883211 | + | 0.540976i | ||||
\(283\) | 1.29863 | − | 12.3556i | 0.0771954 | − | 0.734465i | −0.885639 | − | 0.464374i | \(-0.846279\pi\) |
0.962835 | − | 0.270091i | \(-0.0870539\pi\) | |||||||
\(284\) | −7.70866 | + | 1.63853i | −0.457425 | + | 0.0972286i | ||||
\(285\) | −12.7780 | + | 12.2254i | −0.756902 | + | 0.724171i | ||||
\(286\) | 3.39997 | + | 0.722686i | 0.201044 | + | 0.0427333i | ||||
\(287\) | −1.20958 | + | 3.72271i | −0.0713993 | + | 0.219744i | ||||
\(288\) | 1.66796 | − | 0.446176i | 0.0982858 | − | 0.0262912i | ||||
\(289\) | −0.882569 | − | 2.71627i | −0.0519158 | − | 0.159781i | ||||
\(290\) | 0.187257 | − | 0.137282i | 0.0109961 | − | 0.00806151i | ||||
\(291\) | −6.54052 | + | 6.20410i | −0.383412 | + | 0.363691i | ||||
\(292\) | 6.06708 | − | 57.7244i | 0.355049 | − | 3.37807i | ||||
\(293\) | 11.2824 | + | 19.5417i | 0.659125 | + | 1.14164i | 0.980843 | + | 0.194802i | \(0.0624064\pi\) |
−0.321718 | + | 0.946836i | \(0.604260\pi\) | |||||||
\(294\) | −46.3490 | + | 67.4077i | −2.70313 | + | 3.93130i | ||||
\(295\) | −17.2830 | − | 12.4438i | −1.00626 | − | 0.724506i | ||||
\(296\) | 19.0916 | − | 13.8708i | 1.10967 | − | 0.806226i | ||||
\(297\) | −8.08962 | + | 1.49403i | −0.469407 | + | 0.0866923i | ||||
\(298\) | 9.48467 | + | 29.1908i | 0.549432 | + | 1.69098i | ||||
\(299\) | −2.44450 | + | 4.23399i | −0.141369 | + | 0.244858i | ||||
\(300\) | −34.7998 | + | 4.87844i | −2.00917 | + | 0.281657i | ||||
\(301\) | 21.0695 | + | 36.4935i | 1.21443 | + | 2.10345i | ||||
\(302\) | 12.2321 | − | 13.5851i | 0.703878 | − | 0.781735i | ||||
\(303\) | 26.7347 | − | 3.51395i | 1.53587 | − | 0.201871i | ||||
\(304\) | 2.07577 | + | 19.7496i | 0.119053 | + | 1.13272i | ||||
\(305\) | 8.16167 | + | 13.9973i | 0.467336 | + | 0.801480i | ||||
\(306\) | −24.7475 | + | 12.5964i | −1.41472 | + | 0.720086i | ||||
\(307\) | −27.5455 | −1.57211 | −0.786054 | − | 0.618158i | \(-0.787879\pi\) | ||||
−0.786054 | + | 0.618158i | \(0.787879\pi\) | |||||||
\(308\) | 30.0328 | − | 13.3715i | 1.71128 | − | 0.761911i | ||||
\(309\) | −6.42948 | − | 26.8056i | −0.365760 | − | 1.52492i | ||||
\(310\) | 9.88612 | − | 4.45255i | 0.561494 | − | 0.252888i | ||||
\(311\) | 0.339314 | − | 0.376846i | 0.0192407 | − | 0.0213690i | −0.733448 | − | 0.679746i | \(-0.762090\pi\) |
0.752688 | + | 0.658377i | \(0.228757\pi\) | |||||||
\(312\) | 1.82504 | + | 7.60892i | 0.103323 | + | 0.430770i | ||||
\(313\) | −8.84725 | − | 9.82587i | −0.500076 | − | 0.555391i | 0.439273 | − | 0.898354i | \(-0.355236\pi\) |
−0.939349 | + | 0.342963i | \(0.888570\pi\) | |||||||
\(314\) | −7.15784 | − | 22.0296i | −0.403941 | − | 1.24320i | ||||
\(315\) | −1.66390 | + | 34.2894i | −0.0937501 | + | 1.93199i | ||||
\(316\) | 4.26789 | − | 13.1352i | 0.240088 | − | 0.738914i | ||||
\(317\) | −9.58348 | + | 4.26684i | −0.538262 | + | 0.239650i | −0.657817 | − | 0.753178i | \(-0.728520\pi\) |
0.119555 | + | 0.992828i | \(0.461853\pi\) | |||||||
\(318\) | 9.26101 | + | 5.03085i | 0.519332 | + | 0.282116i | ||||
\(319\) | −0.00698181 | + | 0.0664275i | −0.000390906 | + | 0.00371923i | ||||
\(320\) | 8.08053 | − | 14.1357i | 0.451715 | − | 0.790212i | ||||
\(321\) | 2.90394 | + | 3.78614i | 0.162082 | + | 0.211322i | ||||
\(322\) | 7.21573 | + | 68.6530i | 0.402117 | + | 3.82588i | ||||
\(323\) | −5.30655 | − | 16.3319i | −0.295264 | − | 0.908730i | ||||
\(324\) | −21.4402 | − | 29.5623i | −1.19112 | − | 1.64235i | ||||
\(325\) | −0.504307 | − | 4.43166i | −0.0279739 | − | 0.245824i | ||||
\(326\) | 3.86262 | − | 6.69025i | 0.213931 | − | 0.370539i | ||||
\(327\) | 20.5933 | − | 7.28757i | 1.13881 | − | 0.403004i | ||||
\(328\) | 3.53864 | + | 1.57550i | 0.195389 | + | 0.0869927i | ||||
\(329\) | −19.0744 | − | 8.49245i | −1.05160 | − | 0.468204i | ||||
\(330\) | 8.49694 | − | 12.4719i | 0.467741 | − | 0.686557i | ||||
\(331\) | −2.23440 | + | 0.994818i | −0.122814 | + | 0.0546801i | −0.467224 | − | 0.884139i | \(-0.654746\pi\) |
0.344410 | + | 0.938819i | \(0.388079\pi\) | |||||||
\(332\) | −15.7583 | −0.864850 | ||||||||
\(333\) | −11.7208 | − | 7.61863i | −0.642298 | − | 0.417499i | ||||
\(334\) | 2.18205 | − | 6.71566i | 0.119397 | − | 0.367465i | ||||
\(335\) | −6.48593 | + | 4.75500i | −0.354364 | + | 0.259793i | ||||
\(336\) | 29.3084 | + | 25.0424i | 1.59890 | + | 1.36618i | ||||
\(337\) | −1.79424 | + | 0.381377i | −0.0977383 | + | 0.0207749i | −0.256521 | − | 0.966539i | \(-0.582576\pi\) |
0.158783 | + | 0.987314i | \(0.449243\pi\) | |||||||
\(338\) | 29.3810 | − | 6.24513i | 1.59812 | − | 0.339690i | ||||
\(339\) | 16.8090 | + | 14.3623i | 0.912938 | + | 0.780055i | ||||
\(340\) | 10.4050 | − | 32.4976i | 0.564291 | − | 1.76243i | ||||
\(341\) | −0.963842 | + | 2.96640i | −0.0521950 | + | 0.160640i | ||||
\(342\) | 30.0463 | − | 15.2934i | 1.62472 | − | 0.826972i | ||||
\(343\) | −62.3814 | −3.36828 | ||||||||
\(344\) | 38.0951 | − | 16.9610i | 2.05395 | − | 0.914477i | ||||
\(345\) | 12.9904 | + | 16.7871i | 0.699382 | + | 0.903786i | ||||
\(346\) | 35.7356 | + | 15.9105i | 1.92116 | + | 0.855354i | ||||
\(347\) | −0.272573 | − | 0.121357i | −0.0146325 | − | 0.00651481i | 0.399407 | − | 0.916774i | \(-0.369216\pi\) |
−0.414040 | + | 0.910259i | \(0.635883\pi\) | |||||||
\(348\) | −0.279522 | + | 0.0989177i | −0.0149840 | + | 0.00530255i | ||||
\(349\) | −8.44783 | + | 14.6321i | −0.452202 | + | 0.783237i | −0.998523 | − | 0.0543395i | \(-0.982695\pi\) |
0.546321 | + | 0.837576i | \(0.316028\pi\) | |||||||
\(350\) | −42.5407 | − | 46.4378i | −2.27389 | − | 2.48220i | ||||
\(351\) | 3.82168 | − | 2.62301i | 0.203986 | − | 0.140006i | ||||
\(352\) | −0.281569 | − | 0.866579i | −0.0150077 | − | 0.0461888i | ||||
\(353\) | −0.760861 | − | 7.23910i | −0.0404965 | − | 0.385299i | −0.995933 | − | 0.0901008i | \(-0.971281\pi\) |
0.955436 | − | 0.295198i | \(-0.0953856\pi\) | |||||||
\(354\) | 24.7097 | + | 32.2164i | 1.31331 | + | 1.71228i | ||||
\(355\) | −4.25191 | − | 0.884702i | −0.225668 | − | 0.0469551i | ||||
\(356\) | 1.28415 | − | 12.2179i | 0.0680598 | − | 0.647545i | ||||
\(357\) | −29.2927 | − | 15.9126i | −1.55033 | − | 0.842186i | ||||
\(358\) | −40.0422 | + | 17.8279i | −2.11629 | + | 0.942235i | ||||
\(359\) | −8.36007 | + | 25.7297i | −0.441228 | + | 1.35796i | 0.445340 | + | 0.895361i | \(0.353083\pi\) |
−0.886568 | + | 0.462598i | \(0.846917\pi\) | |||||||
\(360\) | 33.5744 | + | 5.18445i | 1.76952 | + | 0.273245i | ||||
\(361\) | 0.571423 | + | 1.75866i | 0.0300749 | + | 0.0925610i | ||||
\(362\) | −30.1783 | − | 33.5164i | −1.58614 | − | 1.76158i | ||||
\(363\) | −3.43126 | − | 14.3055i | −0.180094 | − | 0.750845i | ||||
\(364\) | −12.3948 | + | 13.7658i | −0.649662 | + | 0.721523i | ||||
\(365\) | 15.8738 | − | 27.7690i | 0.830873 | − | 1.45349i | ||||
\(366\) | −7.20485 | − | 30.0383i | −0.376603 | − | 1.57013i | ||||
\(367\) | 7.03463 | − | 3.13202i | 0.367205 | − | 0.163490i | −0.214835 | − | 0.976650i | \(-0.568921\pi\) |
0.582040 | + | 0.813160i | \(0.302255\pi\) | |||||||
\(368\) | 23.8358 | 1.24252 | ||||||||
\(369\) | 0.121057 | − | 2.29141i | 0.00630199 | − | 0.119286i | ||||
\(370\) | 25.0614 | − | 5.43956i | 1.30288 | − | 0.282789i | ||||
\(371\) | 1.32250 | + | 12.5828i | 0.0686610 | + | 0.653265i | ||||
\(372\) | −13.7280 | + | 1.80438i | −0.711765 | + | 0.0935529i | ||||
\(373\) | −15.6677 | + | 17.4007i | −0.811241 | + | 0.900974i | −0.996658 | − | 0.0816856i | \(-0.973970\pi\) |
0.185417 | + | 0.982660i | \(0.440636\pi\) | |||||||
\(374\) | 7.32716 | + | 12.6910i | 0.378879 | + | 0.656237i | ||||
\(375\) | −18.6357 | − | 5.26419i | −0.962342 | − | 0.271842i | ||||
\(376\) | −10.3310 | + | 17.8939i | −0.532782 | + | 0.922806i | ||||
\(377\) | −0.0116299 | − | 0.0357932i | −0.000598972 | − | 0.00184345i | ||||
\(378\) | 21.8861 | − | 61.6804i | 1.12570 | − | 3.17250i | ||||
\(379\) | −5.93052 | + | 4.30878i | −0.304630 | + | 0.221327i | −0.729589 | − | 0.683886i | \(-0.760289\pi\) |
0.424959 | + | 0.905213i | \(0.360289\pi\) | |||||||
\(380\) | −12.6329 | + | 39.4557i | −0.648052 | + | 2.02403i | ||||
\(381\) | 7.48835 | − | 10.8907i | 0.383640 | − | 0.557947i | ||||
\(382\) | −13.5509 | − | 23.4709i | −0.693327 | − | 1.20088i | ||||
\(383\) | −1.83428 | + | 17.4521i | −0.0937276 | + | 0.891758i | 0.842105 | + | 0.539314i | \(0.181316\pi\) |
−0.935833 | + | 0.352445i | \(0.885350\pi\) | |||||||
\(384\) | −23.9677 | + | 22.7349i | −1.22310 | + | 1.16019i | ||||
\(385\) | 18.1165 | − | 0.0778046i | 0.923303 | − | 0.00396529i | ||||
\(386\) | 4.91242 | + | 15.1189i | 0.250035 | + | 0.769530i | ||||
\(387\) | −17.4600 | − | 17.4747i | −0.887540 | − | 0.888289i | ||||
\(388\) | −6.52616 | + | 20.0854i | −0.331315 | + | 1.01968i | ||||
\(389\) | −0.325778 | − | 0.0692462i | −0.0165176 | − | 0.00351092i | 0.199645 | − | 0.979868i | \(-0.436021\pi\) |
−0.216163 | + | 0.976357i | \(0.569354\pi\) | |||||||
\(390\) | −1.51545 | + | 8.36716i | −0.0767376 | + | 0.423688i | ||||
\(391\) | −20.1613 | + | 4.28542i | −1.01960 | + | 0.216723i | ||||
\(392\) | −10.1583 | + | 96.6495i | −0.513070 | + | 4.88154i | ||||
\(393\) | −3.83948 | + | 2.35172i | −0.193676 | + | 0.118629i | ||||
\(394\) | 56.7187 | − | 25.2528i | 2.85745 | − | 1.27222i | ||||
\(395\) | 5.06843 | − | 5.67792i | 0.255021 | − | 0.285687i | ||||
\(396\) | −14.9821 | + | 12.1218i | −0.752881 | + | 0.609145i | ||||
\(397\) | 19.6674 | − | 14.2892i | 0.987079 | − | 0.717155i | 0.0277993 | − | 0.999614i | \(-0.491150\pi\) |
0.959279 | + | 0.282459i | \(0.0911501\pi\) | |||||||
\(398\) | −5.97532 | − | 1.27009i | −0.299516 | − | 0.0636640i | ||||
\(399\) | 35.5646 | + | 19.3197i | 1.78046 | + | 0.967197i | ||||
\(400\) | −17.4821 | + | 12.9323i | −0.874103 | + | 0.646616i | ||||
\(401\) | −10.6053 | − | 18.3689i | −0.529604 | − | 0.917301i | −0.999404 | − | 0.0345279i | \(-0.989007\pi\) |
0.469800 | − | 0.882773i | \(-0.344326\pi\) | |||||||
\(402\) | 14.4538 | − | 5.11493i | 0.720890 | − | 0.255109i | ||||
\(403\) | −0.183704 | − | 1.74783i | −0.00915096 | − | 0.0870655i | ||||
\(404\) | 51.1050 | − | 37.1300i | 2.54257 | − | 1.84729i | ||||
\(405\) | −4.25205 | − | 19.6703i | −0.211286 | − | 0.977424i | ||||
\(406\) | −0.429911 | − | 0.312348i | −0.0213361 | − | 0.0155016i | ||||
\(407\) | −3.68862 | + | 6.38888i | −0.182838 | + | 0.316685i | ||||
\(408\) | −18.6907 | + | 27.1829i | −0.925328 | + | 1.34575i | ||||
\(409\) | 15.8046 | − | 3.35938i | 0.781489 | − | 0.166111i | 0.200143 | − | 0.979767i | \(-0.435859\pi\) |
0.581347 | + | 0.813656i | \(0.302526\pi\) | |||||||
\(410\) | 2.83007 | + | 3.11610i | 0.139767 | + | 0.153893i | ||||
\(411\) | −1.77376 | + | 9.55910i | −0.0874931 | + | 0.471515i | ||||
\(412\) | −43.2110 | − | 47.9907i | −2.12886 | − | 2.36433i | ||||
\(413\) | −15.0617 | + | 46.3553i | −0.741140 | + | 2.28099i | ||||
\(414\) | −14.4862 | − | 37.7854i | −0.711956 | − | 1.85705i | ||||
\(415\) | −7.94837 | − | 3.49802i | −0.390170 | − | 0.171711i | ||||
\(416\) | 0.343537 | + | 0.381537i | 0.0168433 | + | 0.0187064i | ||||
\(417\) | −2.97763 | − | 0.234976i | −0.145815 | − | 0.0115068i | ||||
\(418\) | −8.89600 | − | 15.4083i | −0.435118 | − | 0.753646i | ||||
\(419\) | −1.47939 | + | 14.0755i | −0.0722731 | + | 0.687633i | 0.897064 | + | 0.441900i | \(0.145695\pi\) |
−0.969338 | + | 0.245733i | \(0.920971\pi\) | |||||||
\(420\) | 34.9193 | + | 72.4470i | 1.70389 | + | 3.53505i | ||||
\(421\) | 2.61246 | + | 24.8559i | 0.127324 | + | 1.21140i | 0.852458 | + | 0.522796i | \(0.175111\pi\) |
−0.725134 | + | 0.688607i | \(0.758222\pi\) | |||||||
\(422\) | 13.7314 | − | 9.97642i | 0.668432 | − | 0.485644i | ||||
\(423\) | 12.0884 | + | 1.91984i | 0.587756 | + | 0.0933456i | ||||
\(424\) | 12.5203 | 0.608042 | ||||||||
\(425\) | 12.4620 | − | 14.0818i | 0.604495 | − | 0.683068i | ||||
\(426\) | 7.27550 | + | 3.95226i | 0.352499 | + | 0.191488i | ||||
\(427\) | 24.8133 | − | 27.5580i | 1.20080 | − | 1.33362i | ||||
\(428\) | 10.2118 | + | 4.54658i | 0.493605 | + | 0.219767i | ||||
\(429\) | −1.48870 | − | 1.94096i | −0.0718752 | − | 0.0937105i | ||||
\(430\) | 45.3161 | − | 0.194618i | 2.18534 | − | 0.00938531i | ||||
\(431\) | 4.09020 | + | 2.97170i | 0.197018 | + | 0.143142i | 0.681921 | − | 0.731426i | \(-0.261145\pi\) |
−0.484903 | + | 0.874568i | \(0.661145\pi\) | |||||||
\(432\) | −20.3910 | − | 9.74185i | −0.981062 | − | 0.468705i | ||||
\(433\) | 16.2872 | + | 11.8334i | 0.782715 | + | 0.568676i | 0.905793 | − | 0.423721i | \(-0.139276\pi\) |
−0.123078 | + | 0.992397i | \(0.539276\pi\) | |||||||
\(434\) | −16.6043 | − | 18.4410i | −0.797033 | − | 0.885195i | ||||
\(435\) | −0.162947 | − | 0.0121548i | −0.00781269 | − | 0.000582780i | ||||
\(436\) | 34.2428 | − | 38.0305i | 1.63993 | − | 1.82133i | ||||
\(437\) | 24.4781 | − | 5.20299i | 1.17095 | − | 0.248893i | ||||
\(438\) | −44.2419 | + | 41.9663i | −2.11396 | + | 2.00523i | ||||
\(439\) | 38.8328 | + | 8.25417i | 1.85339 | + | 0.393950i | 0.993239 | − | 0.116090i | \(-0.0370360\pi\) |
0.860151 | + | 0.510040i | \(0.170369\pi\) | |||||||
\(440\) | 1.79740 | − | 17.8377i | 0.0856877 | − | 0.850380i | ||||
\(441\) | 55.6136 | − | 14.8765i | 2.64827 | − | 0.708403i | ||||
\(442\) | −6.68012 | − | 4.85339i | −0.317741 | − | 0.230852i | ||||
\(443\) | 14.2137 | − | 24.6188i | 0.675313 | − | 1.16968i | −0.301065 | − | 0.953604i | \(-0.597342\pi\) |
0.976377 | − | 0.216072i | \(-0.0693246\pi\) | |||||||
\(444\) | −32.6475 | − | 2.57634i | −1.54938 | − | 0.122268i | ||||
\(445\) | 3.35983 | − | 5.87754i | 0.159271 | − | 0.278622i | ||||
\(446\) | −29.6556 | − | 13.2035i | −1.40423 | − | 0.625205i | ||||
\(447\) | 8.27008 | − | 19.9538i | 0.391161 | − | 0.943784i | ||||
\(448\) | −36.4503 | − | 7.74774i | −1.72211 | − | 0.366046i | ||||
\(449\) | −32.9656 | −1.55574 | −0.777871 | − | 0.628424i | \(-0.783700\pi\) | ||||
−0.777871 | + | 0.628424i | \(0.783700\pi\) | |||||||
\(450\) | 31.1255 | + | 19.8536i | 1.46727 | + | 0.935910i | ||||
\(451\) | −1.21092 | −0.0570202 | ||||||||
\(452\) | 50.6629 | + | 10.7687i | 2.38298 | + | 0.506518i | ||||
\(453\) | −12.7550 | + | 1.67649i | −0.599281 | + | 0.0787683i | ||||
\(454\) | −39.4176 | − | 17.5498i | −1.84996 | − | 0.823655i | ||||
\(455\) | −9.30754 | + | 4.19197i | −0.436344 | + | 0.196523i | ||||
\(456\) | 22.6926 | − | 33.0031i | 1.06268 | − | 1.54551i | ||||
\(457\) | 14.1520 | − | 24.5120i | 0.662004 | − | 1.14663i | −0.318084 | − | 0.948063i | \(-0.603039\pi\) |
0.980088 | − | 0.198563i | \(-0.0636273\pi\) | |||||||
\(458\) | −32.3547 | − | 23.5070i | −1.51183 | − | 1.09841i | ||||
\(459\) | 18.9991 | + | 4.57399i | 0.886801 | + | 0.213496i | ||||
\(460\) | 45.5137 | + | 20.0303i | 2.12209 | + | 0.933916i | ||||
\(461\) | −16.2616 | − | 3.45651i | −0.757378 | − | 0.160986i | −0.186991 | − | 0.982362i | \(-0.559874\pi\) |
−0.570387 | + | 0.821376i | \(0.693207\pi\) | |||||||
\(462\) | −33.1143 | − | 9.81650i | −1.54062 | − | 0.456705i | ||||
\(463\) | −10.6551 | + | 2.26481i | −0.495185 | + | 0.105255i | −0.448733 | − | 0.893666i | \(-0.648125\pi\) |
−0.0464518 | + | 0.998921i | \(0.514791\pi\) | |||||||
\(464\) | −0.122776 | + | 0.136357i | −0.00569975 | + | 0.00633022i | ||||
\(465\) | −7.32484 | − | 2.13722i | −0.339681 | − | 0.0991112i | ||||
\(466\) | 31.4064 | + | 34.8803i | 1.45487 | + | 1.61580i | ||||
\(467\) | 19.9438 | + | 14.4900i | 0.922888 | + | 0.670517i | 0.944241 | − | 0.329255i | \(-0.106797\pi\) |
−0.0213532 | + | 0.999772i | \(0.506797\pi\) | |||||||
\(468\) | 4.93390 | − | 9.67322i | 0.228069 | − | 0.447145i | ||||
\(469\) | 14.8906 | + | 10.8187i | 0.687586 | + | 0.499560i | ||||
\(470\) | −18.1087 | + | 13.2760i | −0.835293 | + | 0.612374i | ||||
\(471\) | −6.24123 | + | 15.0587i | −0.287580 | + | 0.693867i | ||||
\(472\) | 44.0633 | + | 19.6182i | 2.02818 | + | 0.903003i | ||||
\(473\) | −8.72289 | + | 9.68775i | −0.401079 | + | 0.445443i | ||||
\(474\) | −12.3735 | + | 7.57890i | −0.568333 | + | 0.348110i | ||||
\(475\) | −15.1303 | + | 17.0969i | −0.694224 | + | 0.784460i | ||||
\(476\) | −78.0949 | −3.57947 | ||||||||
\(477\) | −2.65504 | − | 6.92534i | −0.121566 | − | 0.317089i | ||||
\(478\) | 13.8749 | − | 10.0807i | 0.634621 | − | 0.461079i | ||||
\(479\) | 4.05028 | + | 38.5358i | 0.185062 | + | 1.76075i | 0.555150 | + | 0.831750i | \(0.312661\pi\) |
−0.370089 | + | 0.928996i | \(0.620673\pi\) | |||||||
\(480\) | 2.09813 | − | 0.752644i | 0.0957662 | − | 0.0343533i | ||||
\(481\) | 0.434500 | − | 4.13399i | 0.0198115 | − | 0.188494i | ||||
\(482\) | 3.73324 | + | 6.46616i | 0.170044 | + | 0.294526i | ||||
\(483\) | 27.5243 | − | 40.0300i | 1.25240 | − | 1.82143i | ||||
\(484\) | −23.0607 | − | 25.6115i | −1.04821 | − | 1.16416i | ||||
\(485\) | −7.75029 | + | 8.68227i | −0.351923 | + | 0.394242i | ||||
\(486\) | −3.05055 | + | 38.2452i | −0.138376 | + | 1.73484i | ||||
\(487\) | −0.280386 | + | 0.862940i | −0.0127055 | + | 0.0391036i | −0.957208 | − | 0.289400i | \(-0.906544\pi\) |
0.944503 | + | 0.328503i | \(0.106544\pi\) | |||||||
\(488\) | −24.5549 | − | 27.2710i | −1.11155 | − | 1.23450i | ||||
\(489\) | −5.12507 | + | 1.81367i | −0.231764 | + | 0.0820168i | ||||
\(490\) | −52.4115 | + | 91.6865i | −2.36771 | + | 4.14197i | ||||
\(491\) | −4.57995 | + | 0.973499i | −0.206690 | + | 0.0439334i | −0.310093 | − | 0.950706i | \(-0.600360\pi\) |
0.103403 | + | 0.994640i | \(0.467027\pi\) | |||||||
\(492\) | −2.31320 | − | 4.85236i | −0.104287 | − | 0.218761i | ||||
\(493\) | 0.0793341 | − | 0.137411i | 0.00357303 | − | 0.00618866i | ||||
\(494\) | 8.11042 | + | 5.89257i | 0.364905 | + | 0.265119i | ||||
\(495\) | −10.2477 | + | 2.78843i | −0.460598 | + | 0.125331i | ||||
\(496\) | −6.93189 | + | 5.03631i | −0.311251 | + | 0.226137i | ||||
\(497\) | 1.03897 | + | 9.88510i | 0.0466040 | + | 0.443407i | ||||
\(498\) | 12.5868 | + | 10.7548i | 0.564029 | + | 0.481932i | ||||
\(499\) | 7.00291 | + | 12.1294i | 0.313493 | + | 0.542986i | 0.979116 | − | 0.203302i | \(-0.0651673\pi\) |
−0.665623 | + | 0.746288i | \(0.731834\pi\) | |||||||
\(500\) | −44.2491 | + | 10.0030i | −1.97888 | + | 0.447347i | ||||
\(501\) | −4.23754 | + | 2.59554i | −0.189319 | + | 0.115960i | ||||
\(502\) | −35.1986 | − | 7.48170i | −1.57099 | − | 0.333925i | ||||
\(503\) | 23.8114 | − | 17.3000i | 1.06170 | − | 0.771370i | 0.0872979 | − | 0.996182i | \(-0.472177\pi\) |
0.974402 | + | 0.224812i | \(0.0721768\pi\) | |||||||
\(504\) | −12.1305 | − | 76.7986i | −0.540335 | − | 3.42088i | ||||
\(505\) | 34.0191 | − | 7.38381i | 1.51383 | − | 0.328575i | ||||
\(506\) | −19.5092 | + | 8.68607i | −0.867291 | + | 0.386143i | ||||
\(507\) | −18.5746 | − | 10.0903i | −0.824928 | − | 0.448125i | ||||
\(508\) | 3.23647 | − | 30.7929i | 0.143595 | − | 1.36621i | ||||
\(509\) | −5.59125 | + | 1.18846i | −0.247828 | + | 0.0526774i | −0.330150 | − | 0.943928i | \(-0.607099\pi\) |
0.0823228 | + | 0.996606i | \(0.473766\pi\) | |||||||
\(510\) | −30.4899 | + | 18.8559i | −1.35012 | + | 0.834955i | ||||
\(511\) | −71.6048 | − | 15.2201i | −3.16761 | − | 0.673296i | ||||
\(512\) | −12.8388 | + | 39.5137i | −0.567399 | + | 1.74628i | ||||
\(513\) | −23.0670 | − | 5.55334i | −1.01843 | − | 0.245186i | ||||
\(514\) | −13.5988 | − | 41.8529i | −0.599819 | − | 1.84605i | ||||
\(515\) | −11.1424 | − | 33.7981i | −0.490991 | − | 1.48932i | ||||
\(516\) | −55.4834 | − | 16.4477i | −2.44252 | − | 0.724068i | ||||
\(517\) | 0.675179 | − | 6.42390i | 0.0296943 | − | 0.282523i | ||||
\(518\) | −29.3462 | − | 50.8290i | −1.28940 | − | 2.23330i | ||||
\(519\) | −11.8460 | − | 24.8492i | −0.519982 | − | 1.09076i | ||||
\(520\) | 3.16282 | + | 9.59378i | 0.138699 | + | 0.420715i | ||||
\(521\) | −6.83148 | + | 4.96336i | −0.299293 | + | 0.217449i | −0.727288 | − | 0.686332i | \(-0.759220\pi\) |
0.427996 | + | 0.903781i | \(0.359220\pi\) | |||||||
\(522\) | 0.290776 | + | 0.111759i | 0.0127269 | + | 0.00489157i | ||||
\(523\) | −0.335514 | − | 1.03260i | −0.0146710 | − | 0.0451527i | 0.943453 | − | 0.331506i | \(-0.107557\pi\) |
−0.958124 | + | 0.286354i | \(0.907557\pi\) | |||||||
\(524\) | −5.27390 | + | 9.13467i | −0.230392 | + | 0.399050i | ||||
\(525\) | 1.53130 | + | 44.2931i | 0.0668316 | + | 1.93311i | ||||
\(526\) | −15.0981 | − | 26.1507i | −0.658309 | − | 1.14022i | ||||
\(527\) | 4.95782 | − | 5.50621i | 0.215966 | − | 0.239854i | ||||
\(528\) | −4.56615 | + | 11.0171i | −0.198716 | + | 0.479457i | ||||
\(529\) | −0.735583 | − | 6.99860i | −0.0319819 | − | 0.304287i | ||||
\(530\) | 12.4535 | + | 5.48067i | 0.540943 | + | 0.238065i | ||||
\(531\) | 1.50741 | − | 28.5328i | 0.0654160 | − | 1.23822i | ||||
\(532\) | 94.8160 | 4.11079 | ||||||||
\(533\) | 0.623315 | − | 0.277518i | 0.0269988 | − | 0.0120206i | ||||
\(534\) | −9.36418 | + | 8.88252i | −0.405228 | + | 0.384384i | ||||
\(535\) | 4.14149 | + | 4.56006i | 0.179052 | + | 0.197149i | ||||
\(536\) | 12.1877 | − | 13.5358i | 0.526427 | − | 0.584656i | ||||
\(537\) | 29.5738 | + | 8.76693i | 1.27620 | + | 0.378321i | ||||
\(538\) | 38.2718 | + | 42.5051i | 1.65001 | + | 1.83253i | ||||
\(539\) | −9.38811 | − | 28.8936i | −0.404375 | − | 1.24454i | ||||
\(540\) | −30.7496 | − | 35.7373i | −1.32325 | − | 1.53789i | ||||
\(541\) | 3.62252 | − | 11.1490i | 0.155744 | − | 0.479331i | −0.842491 | − | 0.538710i | \(-0.818912\pi\) |
0.998236 | + | 0.0593787i | \(0.0189120\pi\) | |||||||
\(542\) | −61.1752 | + | 27.2369i | −2.62770 | + | 1.16993i | ||||
\(543\) | 0.824138 | + | 31.7283i | 0.0353671 | + | 1.36159i | ||||
\(544\) | −0.226252 | + | 2.15264i | −0.00970048 | + | 0.0922939i | ||||
\(545\) | 25.7138 | − | 11.5811i | 1.10146 | − | 0.496079i | ||||
\(546\) | 19.2951 | − | 2.53611i | 0.825755 | − | 0.108535i | ||||
\(547\) | 2.00229 | + | 19.0505i | 0.0856115 | + | 0.814539i | 0.950112 | + | 0.311908i | \(0.100968\pi\) |
−0.864501 | + | 0.502631i | \(0.832365\pi\) | |||||||
\(548\) | 7.03820 | + | 21.6614i | 0.300657 | + | 0.925328i | ||||
\(549\) | −9.87727 | + | 19.3650i | −0.421551 | + | 0.826479i | ||||
\(550\) | 9.59610 | − | 16.9556i | 0.409179 | − | 0.722990i | ||||
\(551\) | −0.0963205 | + | 0.166832i | −0.00410339 | + | 0.00710728i | ||||
\(552\) | −36.5490 | − | 31.2292i | −1.55563 | − | 1.32920i | ||||
\(553\) | −15.9130 | − | 7.08494i | −0.676691 | − | 0.301282i | ||||
\(554\) | 39.5937 | + | 17.6283i | 1.68218 | + | 0.748953i | ||||
\(555\) | −15.8953 | − | 8.54656i | −0.674716 | − | 0.362781i | ||||
\(556\) | −6.39235 | + | 2.84606i | −0.271096 | + | 0.120700i | ||||
\(557\) | 18.2151 | 0.771799 | 0.385899 | − | 0.922541i | \(-0.373891\pi\) | ||||
0.385899 | + | 0.922541i | \(0.373891\pi\) | |||||||
\(558\) | 12.1966 | + | 7.92789i | 0.516324 | + | 0.335614i | ||||
\(559\) | 2.26983 | − | 6.98581i | 0.0960034 | − | 0.295468i | ||||
\(560\) | 40.3883 | + | 29.0796i | 1.70672 | + | 1.22884i | ||||
\(561\) | 1.88149 | − | 10.1397i | 0.0794366 | − | 0.428098i | ||||
\(562\) | −34.7337 | + | 7.38288i | −1.46515 | + | 0.311428i | ||||
\(563\) | 13.2459 | − | 2.81550i | 0.558248 | − | 0.118659i | 0.0798570 | − | 0.996806i | \(-0.474554\pi\) |
0.478391 | + | 0.878147i | \(0.341220\pi\) | |||||||
\(564\) | 27.0313 | − | 9.56587i | 1.13822 | − | 0.402796i | ||||
\(565\) | 23.1635 | + | 16.6778i | 0.974497 | + | 0.701639i | ||||
\(566\) | −9.44896 | + | 29.0809i | −0.397169 | + | 1.22236i | ||||
\(567\) | −39.9070 | + | 22.9955i | −1.67594 | + | 0.965718i | ||||
\(568\) | 9.83605 | 0.412711 | ||||||||
\(569\) | 21.6080 | − | 9.62051i | 0.905855 | − | 0.403313i | 0.0997002 | − | 0.995018i | \(-0.468212\pi\) |
0.806155 | + | 0.591705i | \(0.201545\pi\) | |||||||
\(570\) | 37.0182 | − | 22.8932i | 1.55052 | − | 0.958893i | ||||
\(571\) | −33.2067 | − | 14.7846i | −1.38966 | − | 0.618715i | −0.430760 | − | 0.902467i | \(-0.641754\pi\) |
−0.958898 | + | 0.283751i | \(0.908421\pi\) | |||||||
\(572\) | −5.23506 | − | 2.33080i | −0.218889 | − | 0.0974556i | ||||
\(573\) | −3.47965 | + | 18.7525i | −0.145365 | + | 0.783395i | ||||
\(574\) | 4.81697 | − | 8.34323i | 0.201056 | − | 0.348240i | ||||
\(575\) | 18.5105 | + | 20.2062i | 0.771940 | + | 0.842657i | ||||
\(576\) | 21.8156 | − | 1.13408i | 0.908982 | − | 0.0472532i | ||||
\(577\) | 10.9221 | + | 33.6148i | 0.454694 | + | 1.39940i | 0.871494 | + | 0.490406i | \(0.163151\pi\) |
−0.416801 | + | 0.908998i | \(0.636849\pi\) | |||||||
\(578\) | 0.734772 | + | 6.99088i | 0.0305625 | + | 0.290782i | ||||
\(579\) | 4.28334 | − | 10.3347i | 0.178010 | − | 0.429497i | ||||
\(580\) | −0.349025 | + | 0.157196i | −0.0144925 | + | 0.00652719i | ||||
\(581\) | −2.07748 | + | 19.7659i | −0.0861883 | + | 0.820027i | ||||
\(582\) | 18.9207 | − | 11.5891i | 0.784287 | − | 0.480384i | ||||
\(583\) | −3.57567 | + | 1.59199i | −0.148089 | + | 0.0659334i | ||||
\(584\) | −22.3859 | + | 68.8966i | −0.926334 | + | 2.85096i | ||||
\(585\) | 4.63587 | − | 3.78388i | 0.191670 | − | 0.156444i | ||||
\(586\) | −17.1619 | − | 52.8189i | −0.708951 | − | 2.18193i | ||||
\(587\) | 25.3314 | + | 28.1334i | 1.04554 | + | 1.16119i | 0.986638 | + | 0.162925i | \(0.0520928\pi\) |
0.0589006 | + | 0.998264i | \(0.481240\pi\) | |||||||
\(588\) | 97.8473 | − | 92.8144i | 4.03515 | − | 3.82760i | ||||
\(589\) | −6.01935 | + | 6.68517i | −0.248023 | + | 0.275457i | ||||
\(590\) | 35.2402 | + | 38.8017i | 1.45081 | + | 1.59744i | ||||
\(591\) | −41.8905 | − | 12.4181i | −1.72314 | − | 0.510814i | ||||
\(592\) | −18.5138 | + | 8.24286i | −0.760911 | + | 0.338780i | ||||
\(593\) | 33.1095 | 1.35964 | 0.679822 | − | 0.733377i | \(-0.262057\pi\) | ||||
0.679822 | + | 0.733377i | \(0.262057\pi\) | |||||||
\(594\) | 20.2398 | + | 0.542814i | 0.830449 | + | 0.0222719i | ||||
\(595\) | −39.3904 | − | 17.3354i | −1.61485 | − | 0.710684i | ||||
\(596\) | −5.28927 | − | 50.3240i | −0.216657 | − | 2.06135i | ||||
\(597\) | 2.61634 | + | 3.41117i | 0.107080 | + | 0.139610i | ||||
\(598\) | 8.05159 | − | 8.94220i | 0.329254 | − | 0.365674i | ||||
\(599\) | 16.9563 | + | 29.3692i | 0.692816 | + | 1.19999i | 0.970912 | + | 0.239439i | \(0.0769634\pi\) |
−0.278096 | + | 0.960553i | \(0.589703\pi\) | |||||||
\(600\) | 43.7501 | + | 3.07462i | 1.78609 | + | 0.125521i | ||||
\(601\) | 7.45268 | − | 12.9084i | 0.304001 | − | 0.526545i | −0.673037 | − | 0.739608i | \(-0.735011\pi\) |
0.977038 | + | 0.213063i | \(0.0683441\pi\) | |||||||
\(602\) | −32.0493 | − | 98.6376i | −1.30623 | − | 4.02017i | ||||
\(603\) | −10.0715 | − | 3.87096i | −0.410143 | − | 0.157638i | ||||
\(604\) | −24.3820 | + | 17.7145i | −0.992088 | + | 0.720794i | ||||
\(605\) | −5.94642 | − | 18.0373i | −0.241756 | − | 0.733319i | ||||
\(606\) | −66.1603 | − | 5.22097i | −2.68758 | − | 0.212087i | ||||
\(607\) | −1.90528 | − | 3.30004i | −0.0773328 | − | 0.133944i | 0.824766 | − | 0.565475i | \(-0.191307\pi\) |
−0.902098 | + | 0.431530i | \(0.857974\pi\) | |||||||
\(608\) | 0.274696 | − | 2.61355i | 0.0111404 | − | 0.105994i | ||||
\(609\) | 0.0872235 | + | 0.363650i | 0.00353447 | + | 0.0147358i | ||||
\(610\) | −12.4861 | − | 37.8740i | −0.505547 | − | 1.53347i | ||||
\(611\) | 1.12468 | + | 3.46140i | 0.0454995 | + | 0.140033i | ||||
\(612\) | 44.2254 | − | 11.8302i | 1.78771 | − | 0.478206i | ||||
\(613\) | 0.301134 | − | 0.926794i | 0.0121627 | − | 0.0374329i | −0.944791 | − | 0.327674i | \(-0.893735\pi\) |
0.956954 | + | 0.290241i | \(0.0937354\pi\) | |||||||
\(614\) | 66.3143 | + | 14.0955i | 2.67623 | + | 0.568850i | ||||
\(615\) | −0.0896372 | − | 2.96097i | −0.00361452 | − | 0.119398i | ||||
\(616\) | −40.1344 | + | 8.53083i | −1.61706 | + | 0.343717i | ||||
\(617\) | −3.08552 | + | 29.3567i | −0.124218 | + | 1.18186i | 0.737814 | + | 0.675004i | \(0.235858\pi\) |
−0.862032 | + | 0.506853i | \(0.830809\pi\) | |||||||
\(618\) | 1.76169 | + | 67.8230i | 0.0708656 | + | 2.72824i | ||||
\(619\) | −3.98573 | + | 1.77456i | −0.160200 | + | 0.0713256i | −0.485270 | − | 0.874364i | \(-0.661279\pi\) |
0.325070 | + | 0.945690i | \(0.394612\pi\) | |||||||
\(620\) | −17.4685 | + | 3.79153i | −0.701552 | + | 0.152271i | ||||
\(621\) | −9.52318 | + | 26.8386i | −0.382152 | + | 1.07700i | ||||
\(622\) | −1.00972 | + | 0.733602i | −0.0404859 | + | 0.0294148i | ||||
\(623\) | −15.1558 | − | 3.22146i | −0.607203 | − | 0.129065i | ||||
\(624\) | −0.174484 | − | 6.71744i | −0.00698497 | − | 0.268913i | ||||
\(625\) | −24.5394 | − | 4.77697i | −0.981575 | − | 0.191079i | ||||
\(626\) | 16.2712 | + | 28.1825i | 0.650327 | + | 1.12640i | ||||
\(627\) | −2.28434 | + | 12.3107i | −0.0912278 | + | 0.491643i | ||||
\(628\) | 3.99168 | + | 37.9783i | 0.159285 | + | 1.51550i | ||||
\(629\) | 14.1778 | − | 10.3008i | 0.565305 | − | 0.410718i | ||||
\(630\) | 21.5522 | − | 81.6984i | 0.858662 | − | 3.25494i | ||||
\(631\) | 39.3657 | + | 28.6008i | 1.56712 | + | 1.13858i | 0.929848 | + | 0.367944i | \(0.119938\pi\) |
0.637274 | + | 0.770637i | \(0.280062\pi\) | |||||||
\(632\) | −8.61881 | + | 14.9282i | −0.342838 | + | 0.593812i | ||||
\(633\) | −11.9074 | − | 0.939660i | −0.473277 | − | 0.0373481i | ||||
\(634\) | 25.2551 | − | 5.36814i | 1.00301 | − | 0.213196i | ||||
\(635\) | 8.46783 | − | 14.8133i | 0.336036 | − | 0.587847i | ||||
\(636\) | −13.2099 | − | 11.2871i | −0.523805 | − | 0.447563i | ||||
\(637\) | 11.4543 | + | 12.7213i | 0.453835 | + | 0.504035i | ||||
\(638\) | 0.0508004 | − | 0.156348i | 0.00201121 | − | 0.00618986i | ||||
\(639\) | −2.08581 | − | 5.44058i | −0.0825134 | − | 0.215226i | ||||
\(640\) | −28.4009 | + | 31.8162i | −1.12265 | + | 1.25764i | ||||
\(641\) | 3.32735 | + | 3.69539i | 0.131422 | + | 0.145959i | 0.805264 | − | 0.592917i | \(-0.202024\pi\) |
−0.673842 | + | 0.738876i | \(0.735357\pi\) | |||||||
\(642\) | −5.05362 | − | 10.6009i | −0.199451 | − | 0.418384i | ||||
\(643\) | 1.30748 | + | 2.26463i | 0.0515621 | + | 0.0893081i | 0.890654 | − | 0.454681i | \(-0.150247\pi\) |
−0.839092 | + | 0.543989i | \(0.816913\pi\) | |||||||
\(644\) | 11.8960 | − | 113.183i | 0.468768 | − | 4.46003i | ||||
\(645\) | −24.3344 | − | 20.6122i | −0.958164 | − | 0.811606i | ||||
\(646\) | 4.41790 | + | 42.0335i | 0.173820 | + | 1.65379i | ||||
\(647\) | 13.0683 | − | 9.49465i | 0.513767 | − | 0.373273i | −0.300484 | − | 0.953787i | \(-0.597148\pi\) |
0.814251 | + | 0.580514i | \(0.197148\pi\) | |||||||
\(648\) | 18.5034 | + | 41.6538i | 0.726881 | + | 1.63631i | ||||
\(649\) | −15.0785 | −0.591882 | ||||||||
\(650\) | −1.05367 | + | 10.9270i | −0.0413282 | + | 0.428593i | ||||
\(651\) | 0.453447 | + | 17.4571i | 0.0177720 | + | 0.684199i | ||||
\(652\) | −8.52204 | + | 9.46469i | −0.333749 | + | 0.370666i | ||||
\(653\) | −15.8839 | − | 7.07197i | −0.621585 | − | 0.276748i | 0.0716826 | − | 0.997427i | \(-0.477163\pi\) |
−0.693268 | + | 0.720680i | \(0.743830\pi\) | |||||||
\(654\) | −53.3063 | + | 7.00647i | −2.08444 | + | 0.273975i | ||||
\(655\) | −4.68782 | + | 3.43676i | −0.183168 | + | 0.134285i | ||||
\(656\) | −2.69119 | − | 1.95527i | −0.105073 | − | 0.0763403i | ||||
\(657\) | 42.8556 | − | 2.22784i | 1.67196 | − | 0.0869163i | ||||
\(658\) | 41.5747 | + | 30.2058i | 1.62075 | + | 1.17754i | ||||
\(659\) | −30.1579 | − | 33.4938i | −1.17479 | − | 1.30473i | −0.943319 | − | 0.331889i | \(-0.892314\pi\) |
−0.231467 | − | 0.972843i | \(-0.574353\pi\) | |||||||
\(660\) | −17.9771 | + | 17.1997i | −0.699757 | + | 0.669497i | ||||
\(661\) | −20.4456 | + | 22.7072i | −0.795243 | + | 0.883207i | −0.995326 | − | 0.0965717i | \(-0.969212\pi\) |
0.200083 | + | 0.979779i | \(0.435879\pi\) | |||||||
\(662\) | 5.88825 | − | 1.25159i | 0.228853 | − | 0.0486443i | ||||
\(663\) | 1.35531 | + | 5.65053i | 0.0526360 | + | 0.219449i | ||||
\(664\) | 19.2380 | + | 4.08917i | 0.746580 | + | 0.158690i | ||||
\(665\) | 47.8244 | + | 21.0472i | 1.85455 | + | 0.816174i | ||||
\(666\) | 24.3187 | + | 24.3392i | 0.942329 | + | 0.943124i | ||||
\(667\) | 0.187065 | + | 0.135910i | 0.00724317 | + | 0.00526247i | ||||
\(668\) | −5.82068 | + | 10.0817i | −0.225209 | + | 0.390073i | ||||
\(669\) | 9.83056 | + | 20.6214i | 0.380071 | + | 0.797269i | ||||
\(670\) | 18.0477 | − | 8.12841i | 0.697244 | − | 0.314028i | ||||
\(671\) | 10.4802 | + | 4.66608i | 0.404583 | + | 0.180132i | ||||
\(672\) | −3.10474 | − | 4.04795i | −0.119768 | − | 0.156153i | ||||
\(673\) | 14.1717 | + | 3.01229i | 0.546279 | + | 0.116115i | 0.472781 | − | 0.881180i | \(-0.343250\pi\) |
0.0734983 | + | 0.997295i | \(0.476584\pi\) | |||||||
\(674\) | 4.51468 | 0.173899 | ||||||||
\(675\) | −7.57690 | − | 24.8514i | −0.291635 | − | 0.956530i | ||||
\(676\) | −49.5203 | −1.90463 | ||||||||
\(677\) | 11.5152 | + | 2.44762i | 0.442563 | + | 0.0940697i | 0.423803 | − | 0.905754i | \(-0.360695\pi\) |
0.0187600 | + | 0.999824i | \(0.494028\pi\) | |||||||
\(678\) | −33.1171 | − | 43.1779i | −1.27186 | − | 1.65824i | ||||
\(679\) | 24.3331 | + | 10.8338i | 0.933819 | + | 0.415763i | ||||
\(680\) | −21.1355 | + | 36.9735i | −0.810509 | + | 1.41787i | ||||
\(681\) | 13.0666 | + | 27.4095i | 0.500712 | + | 1.05033i | ||||
\(682\) | 3.83835 | − | 6.64822i | 0.146978 | − | 0.254574i | ||||
\(683\) | −7.80859 | − | 5.67327i | −0.298787 | − | 0.217082i | 0.428283 | − | 0.903645i | \(-0.359119\pi\) |
−0.727070 | + | 0.686563i | \(0.759119\pi\) | |||||||
\(684\) | −53.6946 | + | 14.3632i | −2.05307 | + | 0.549189i | ||||
\(685\) | −1.25836 | + | 12.4882i | −0.0480794 | + | 0.477148i | ||||
\(686\) | 150.180 | + | 31.9217i | 5.73389 | + | 1.21878i | ||||
\(687\) | 6.56435 | + | 27.3679i | 0.250446 | + | 1.04415i | ||||
\(688\) | −35.0287 | + | 7.44558i | −1.33546 | + | 0.283860i | ||||
\(689\) | 1.47570 | − | 1.63893i | 0.0562198 | − | 0.0624384i | ||||
\(690\) | −22.6835 | − | 47.0613i | −0.863545 | − | 1.79159i | ||||
\(691\) | 0.577170 | + | 0.641012i | 0.0219566 | + | 0.0243852i | 0.754023 | − | 0.656848i | \(-0.228111\pi\) |
−0.732067 | + | 0.681233i | \(0.761444\pi\) | |||||||
\(692\) | −52.1734 | − | 37.9062i | −1.98334 | − | 1.44098i | ||||
\(693\) | 13.2294 | + | 20.3904i | 0.502545 | + | 0.774567i | ||||
\(694\) | 0.594103 | + | 0.431641i | 0.0225518 | + | 0.0163849i | ||||
\(695\) | −3.85602 | + | 0.0165603i | −0.146267 | + | 0.000628170i | ||||
\(696\) | 0.366914 | − | 0.0482264i | 0.0139078 | − | 0.00182802i | ||||
\(697\) | 2.62787 | + | 1.17000i | 0.0995375 | + | 0.0443170i | ||||
\(698\) | 27.8251 | − | 30.9029i | 1.05320 | − | 1.16969i | ||||
\(699\) | −0.857675 | − | 33.0195i | −0.0324403 | − | 1.24891i | ||||
\(700\) | 52.6835 | + | 89.4670i | 1.99125 | + | 3.38153i | ||||
\(701\) | −9.06128 | −0.342240 | −0.171120 | − | 0.985250i | \(-0.554739\pi\) | ||||
−0.171120 | + | 0.985250i | \(0.554739\pi\) | |||||||
\(702\) | −10.5427 | + | 4.35912i | −0.397909 | + | 0.164524i | ||||
\(703\) | −17.2134 | + | 12.5063i | −0.649216 | + | 0.471683i | ||||
\(704\) | −1.20502 | − | 11.4650i | −0.0454160 | − | 0.432104i | ||||
\(705\) | 15.7578 | + | 1.17544i | 0.593473 | + | 0.0442695i | ||||
\(706\) | −1.87265 | + | 17.8171i | −0.0704781 | + | 0.670554i | ||||
\(707\) | −39.8353 | − | 68.9968i | −1.49816 | − | 2.59489i | ||||
\(708\) | −28.8040 | − | 60.4217i | −1.08252 | − | 2.27079i | ||||
\(709\) | −28.8143 | − | 32.0015i | −1.08214 | − | 1.20184i | −0.978288 | − | 0.207251i | \(-0.933548\pi\) |
−0.103856 | − | 0.994592i | \(-0.533118\pi\) | |||||||
\(710\) | 9.78350 | + | 4.30564i | 0.367168 | + | 0.161588i | ||||
\(711\) | 10.0849 | + | 1.60165i | 0.378212 | + | 0.0600665i | ||||
\(712\) | −4.73816 | + | 14.5825i | −0.177570 | + | 0.546504i | ||||
\(713\) | 7.22495 | + | 8.02412i | 0.270576 | + | 0.300506i | ||||
\(714\) | 62.3777 | + | 53.2983i | 2.33443 | + | 1.99464i | ||||
\(715\) | −2.12314 | − | 2.33771i | −0.0794007 | − | 0.0874255i | ||||
\(716\) | 70.6826 | − | 15.0241i | 2.64153 | − | 0.561476i | ||||
\(717\) | −12.0318 | − | 0.949480i | −0.449337 | − | 0.0354590i | ||||
\(718\) | 33.2927 | − | 57.6647i | 1.24247 | − | 2.15203i | ||||
\(719\) | 22.4736 | + | 16.3280i | 0.838124 | + | 0.608933i | 0.921846 | − | 0.387556i | \(-0.126681\pi\) |
−0.0837219 | + | 0.996489i | \(0.526681\pi\) | |||||||
\(720\) | −27.2772 | − | 10.3497i | −1.01656 | − | 0.385711i | ||||
\(721\) | −65.8922 | + | 47.8735i | −2.45395 | + | 1.78290i | ||||
\(722\) | −0.475731 | − | 4.52628i | −0.0177049 | − | 0.168451i | ||||
\(723\) | 0.958633 | − | 5.16624i | 0.0356519 | − | 0.192134i | ||||
\(724\) | 37.1771 | + | 64.3926i | 1.38167 | + | 2.39313i | ||||
\(725\) | −0.210940 | + | 0.00181187i | −0.00783411 | + | 6.72911e-5i | ||||
\(726\) | 0.940174 | + | 36.1955i | 0.0348931 | + | 1.34334i | ||||
\(727\) | −28.1735 | − | 5.98845i | −1.04490 | − | 0.222099i | −0.346677 | − | 0.937984i | \(-0.612690\pi\) |
−0.698218 | + | 0.715885i | \(0.746023\pi\) | |||||||
\(728\) | 18.7039 | − | 13.5891i | 0.693211 | − | 0.503647i | ||||
\(729\) | 19.1160 | − | 19.0677i | 0.708001 | − | 0.706211i | ||||
\(730\) | −52.4251 | + | 58.7293i | −1.94034 | + | 2.17367i | ||||
\(731\) | 28.2902 | − | 12.5956i | 1.04635 | − | 0.465865i | ||||
\(732\) | 1.32236 | + | 50.9092i | 0.0488758 | + | 1.88166i | ||||
\(733\) | −1.31486 | + | 12.5100i | −0.0485654 | + | 0.462069i | 0.943032 | + | 0.332703i | \(0.107961\pi\) |
−0.991597 | + | 0.129366i | \(0.958706\pi\) | |||||||
\(734\) | −18.5382 | + | 3.94041i | −0.684256 | + | 0.145443i | ||||
\(735\) | 69.9563 | − | 25.0948i | 2.58038 | − | 0.925635i | ||||
\(736\) | −3.08536 | − | 0.655815i | −0.113728 | − | 0.0241736i | ||||
\(737\) | −1.75955 | + | 5.41535i | −0.0648140 | + | 0.199477i | ||||
\(738\) | −1.46400 | + | 5.45450i | −0.0538904 | + | 0.200783i | ||||
\(739\) | −14.5062 | − | 44.6456i | −0.533620 | − | 1.64231i | −0.746612 | − | 0.665259i | \(-0.768321\pi\) |
0.212992 | − | 0.977054i | \(-0.431679\pi\) | |||||||
\(740\) | −42.2784 | + | 0.181572i | −1.55419 | + | 0.00667472i | ||||
\(741\) | −1.64550 | − | 6.86039i | −0.0604490 | − | 0.252023i | ||||
\(742\) | 3.25498 | − | 30.9691i | 0.119494 | − | 1.13691i | ||||
\(743\) | 3.97180 | + | 6.87937i | 0.145711 | + | 0.252379i | 0.929638 | − | 0.368474i | \(-0.120120\pi\) |
−0.783927 | + | 0.620853i | \(0.786786\pi\) | |||||||
\(744\) | 17.2276 | + | 1.35950i | 0.631596 | + | 0.0498417i | ||||
\(745\) | 8.50302 | − | 26.5571i | 0.311527 | − | 0.972978i | ||||
\(746\) | 46.6232 | − | 33.8738i | 1.70700 | − | 1.24021i | ||||
\(747\) | −1.81774 | − | 11.5082i | −0.0665077 | − | 0.421063i | ||||
\(748\) | −7.46568 | − | 22.9770i | −0.272972 | − | 0.840122i | ||||
\(749\) | 7.04910 | − | 12.2094i | 0.257568 | − | 0.446121i | ||||
\(750\) | 42.1705 | + | 22.2094i | 1.53985 | + | 0.810974i | ||||
\(751\) | 6.40667 | + | 11.0967i | 0.233783 | + | 0.404923i | 0.958918 | − | 0.283683i | \(-0.0915563\pi\) |
−0.725136 | + | 0.688606i | \(0.758223\pi\) | |||||||
\(752\) | 11.8731 | − | 13.1865i | 0.432969 | − | 0.480861i | ||||
\(753\) | 15.4120 | + | 20.0941i | 0.561644 | + | 0.732268i | ||||
\(754\) | 0.00968234 | + | 0.0921213i | 0.000352610 | + | 0.00335486i | ||||
\(755\) | −16.2303 | + | 3.52278i | −0.590682 | + | 0.128207i | ||||
\(756\) | −56.4355 | + | 91.9637i | −2.05254 | + | 3.34469i | ||||
\(757\) | 4.66915 | 0.169703 | 0.0848516 | − | 0.996394i | \(-0.472958\pi\) | ||||
0.0848516 | + | 0.996394i | \(0.472958\pi\) | |||||||
\(758\) | 16.4823 | − | 7.33838i | 0.598663 | − | 0.266542i | ||||
\(759\) | 14.4088 | + | 4.27140i | 0.523008 | + | 0.155042i | ||||
\(760\) | 25.6609 | − | 44.8901i | 0.930818 | − | 1.62833i | ||||
\(761\) | −0.322089 | + | 0.357716i | −0.0116757 | + | 0.0129672i | −0.748954 | − | 0.662622i | \(-0.769444\pi\) |
0.737279 | + | 0.675589i | \(0.236110\pi\) | |||||||
\(762\) | −23.6007 | + | 22.3868i | −0.854964 | + | 0.810987i | ||||
\(763\) | −43.1878 | − | 47.9650i | −1.56350 | − | 1.73645i | ||||
\(764\) | 13.8071 | + | 42.4939i | 0.499524 | + | 1.53738i | ||||
\(765\) | 24.9330 | + | 3.85008i | 0.901455 | + | 0.139200i | ||||
\(766\) | 13.3465 | − | 41.0762i | 0.482227 | − | 1.48414i | ||||
\(767\) | 7.76155 | − | 3.45566i | 0.280253 | − | 0.124777i | ||||
\(768\) | 47.8246 | − | 29.2931i | 1.72572 | − | 1.05702i | ||||
\(769\) | −1.23257 | + | 11.7271i | −0.0444476 | + | 0.422890i | 0.949561 | + | 0.313584i | \(0.101530\pi\) |
−0.994008 | + | 0.109306i | \(0.965137\pi\) | |||||||
\(770\) | −43.6543 | − | 9.08323i | −1.57319 | − | 0.327337i | ||||
\(771\) | −11.8574 | + | 28.6092i | −0.427034 | + | 1.03034i | ||||
\(772\) | −2.73948 | − | 26.0644i | −0.0985961 | − | 0.938080i | ||||
\(773\) | −9.94328 | − | 30.6023i | −0.357635 | − | 1.10069i | −0.954466 | − | 0.298320i | \(-0.903574\pi\) |
0.596831 | − | 0.802367i | \(-0.296426\pi\) | |||||||
\(774\) | 33.0917 | + | 51.0039i | 1.18946 | + | 1.83330i | ||||
\(775\) | −9.65261 | − | 1.96523i | −0.346732 | − | 0.0705930i | ||||
\(776\) | 13.1793 | − | 22.8272i | 0.473108 | − | 0.819447i | ||||
\(777\) | −7.53559 | + | 40.6106i | −0.270338 | + | 1.45690i | ||||
\(778\) | 0.748856 | + | 0.333412i | 0.0268478 | + | 0.0119534i | ||||
\(779\) | −3.19053 | − | 1.42051i | −0.114312 | − | 0.0508952i | ||||
\(780\) | 5.31179 | − | 12.9734i | 0.190193 | − | 0.464522i | ||||
\(781\) | −2.80906 | + | 1.25067i | −0.100516 | + | 0.0447527i | ||||
\(782\) | 50.7301 | 1.81411 | ||||||||
\(783\) | −0.104482 | − | 0.192723i | −0.00373389 | − | 0.00688736i | ||||
\(784\) | 25.7898 | − | 79.3730i | 0.921066 | − | 2.83475i | ||||
\(785\) | −6.41702 | + | 20.0420i | −0.229033 | + | 0.715330i | ||||
\(786\) | 10.4467 | − | 3.69690i | 0.372623 | − | 0.131864i | ||||
\(787\) | 22.7154 | − | 4.82831i | 0.809717 | − | 0.172111i | 0.215592 | − | 0.976483i | \(-0.430832\pi\) |
0.594125 | + | 0.804373i | \(0.297498\pi\) | |||||||
\(788\) | −100.120 | + | 21.2812i | −3.56664 | + | 0.758112i | ||||
\(789\) | −3.87694 | + | 20.8935i | −0.138023 | + | 0.743828i | ||||
\(790\) | −15.1075 | + | 11.0756i | −0.537499 | + | 0.394054i | ||||
\(791\) | 20.1865 | − | 62.1275i | 0.717748 | − | 2.20900i | ||||
\(792\) | 21.4360 | − | 10.9108i | 0.761694 | − | 0.387698i | ||||
\(793\) | −6.46397 | −0.229542 | ||||||||
\(794\) | −54.6602 | + | 24.3363i | −1.93982 | + | 0.863662i | ||||
\(795\) | −4.15744 | − | 8.62544i | −0.147449 | − | 0.305913i | ||||
\(796\) | 9.20042 | + | 4.09629i | 0.326100 | + | 0.145189i | ||||
\(797\) | −43.4005 | − | 19.3232i | −1.53733 | − | 0.684462i | −0.548861 | − | 0.835913i | \(-0.684938\pi\) |
−0.988465 | + | 0.151452i | \(0.951605\pi\) | |||||||
\(798\) | −75.7335 | − | 64.7102i | −2.68094 | − | 2.29072i | ||||
\(799\) | −7.67203 | + | 13.2883i | −0.271417 | + | 0.470108i | ||||
\(800\) | 2.61874 | − | 1.19300i | 0.0925865 | − | 0.0421788i | ||||
\(801\) | 9.07076 | − | 0.471541i | 0.320500 | − | 0.0166611i | ||||
\(802\) | 16.1320 | + | 49.6491i | 0.569639 | + | 1.75317i | ||||
\(803\) | −2.36721 | − | 22.5225i | −0.0835370 | − | 0.794801i | ||||
\(804\) | −25.0614 | + | 3.29401i | −0.883846 | + | 0.116171i | ||||
\(805\) | 31.1245 | − | 54.4479i | 1.09699 | − | 1.91904i | ||||
\(806\) | −0.452137 | + | 4.30180i | −0.0159259 | + | 0.151524i | ||||
\(807\) | −1.04516 | − | 40.2375i | −0.0367914 | − | 1.41643i | ||||
\(808\) | −72.0248 | + | 32.0675i | −2.53383 | + | 1.12813i | ||||
\(809\) | 8.12369 | − | 25.0022i | 0.285614 | − | 0.879029i | −0.700600 | − | 0.713554i | \(-0.747084\pi\) |
0.986214 | − | 0.165475i | \(-0.0529157\pi\) | |||||||
\(810\) | 0.170928 | + | 49.5309i | 0.00600580 | + | 1.74034i | ||||
\(811\) | −4.66526 | − | 14.3582i | −0.163819 | − | 0.504184i | 0.835128 | − | 0.550056i | \(-0.185394\pi\) |
−0.998947 | + | 0.0458715i | \(0.985394\pi\) | |||||||
\(812\) | 0.586209 | + | 0.651051i | 0.0205719 | + | 0.0228474i | ||||
\(813\) | 45.1819 | + | 13.3938i | 1.58460 | + | 0.469743i | ||||
\(814\) | 12.1494 | − | 13.4933i | 0.425838 | − | 0.472941i | ||||
\(815\) | −6.39941 | + | 2.88220i | −0.224162 | + | 0.100959i | ||||
\(816\) | 20.5539 | − | 19.4967i | 0.719531 | − | 0.682521i | ||||
\(817\) | −34.3475 | + | 15.2925i | −1.20167 | + | 0.535016i | ||||
\(818\) | −39.7678 | −1.39045 | ||||||||
\(819\) | −11.4828 | − | 7.46392i | −0.401242 | − | 0.260810i | ||||
\(820\) | −3.49566 | − | 5.99506i | −0.122074 | − | 0.209357i | ||||
\(821\) | −0.421988 | − | 4.01495i | −0.0147275 | − | 0.140123i | 0.984687 | − | 0.174330i | \(-0.0557760\pi\) |
−0.999415 | + | 0.0342074i | \(0.989109\pi\) | |||||||
\(822\) | 9.16178 | − | 22.1053i | 0.319554 | − | 0.771011i | ||||
\(823\) | 26.5904 | − | 29.5316i | 0.926882 | − | 1.02941i | −0.0726049 | − | 0.997361i | \(-0.523131\pi\) |
0.999486 | − | 0.0320455i | \(-0.0102021\pi\) | |||||||
\(824\) | 40.2995 | + | 69.8009i | 1.40390 | + | 2.43163i | ||||
\(825\) | −12.8855 | + | 4.68485i | −0.448615 | + | 0.163106i | ||||
\(826\) | 59.9811 | − | 103.890i | 2.08701 | − | 3.61480i | ||||
\(827\) | 11.8321 | + | 36.4154i | 0.411441 | + | 1.26629i | 0.915396 | + | 0.402556i | \(0.131878\pi\) |
−0.503954 | + | 0.863730i | \(0.668122\pi\) | |||||||
\(828\) | 10.4087 | + | 65.8980i | 0.361728 | + | 2.29011i | ||||
\(829\) | 31.2683 | − | 22.7178i | 1.08599 | − | 0.789020i | 0.107275 | − | 0.994229i | \(-0.465787\pi\) |
0.978718 | + | 0.205209i | \(0.0657874\pi\) | |||||||
\(830\) | 17.3452 | + | 12.4886i | 0.602062 | + | 0.433485i | ||||
\(831\) | −13.1249 | − | 27.5320i | −0.455299 | − | 0.955074i | ||||
\(832\) | 3.24782 | + | 5.62538i | 0.112598 | + | 0.195025i | ||||
\(833\) | −7.54374 | + | 71.7739i | −0.261375 | + | 2.48682i | ||||
\(834\) | 7.04823 | + | 2.08940i | 0.244060 | + | 0.0723499i | ||||
\(835\) | −5.17384 | + | 3.79307i | −0.179048 | + | 0.131264i | ||||
\(836\) | 9.06417 | + | 27.8967i | 0.313491 | + | 0.964826i | ||||
\(837\) | −2.90128 | − | 9.81736i | −0.100283 | − | 0.339337i | ||||
\(838\) | 10.7642 | − | 33.1289i | 0.371844 | − | 1.14442i | ||||
\(839\) | 32.3088 | + | 6.86746i | 1.11543 | + | 0.237091i | 0.728517 | − | 0.685027i | \(-0.240210\pi\) |
0.386908 | + | 0.922118i | \(0.373543\pi\) | |||||||
\(840\) | −23.8306 | − | 97.5059i | −0.822235 | − | 3.36427i | ||||
\(841\) | 28.3645 | − | 6.02907i | 0.978088 | − | 0.207899i | ||||
\(842\) | 6.42986 | − | 61.1760i | 0.221588 | − | 2.10826i | ||||
\(843\) | 21.9586 | + | 11.9286i | 0.756295 | + | 0.410841i | ||||
\(844\) | −25.5627 | + | 11.3813i | −0.879905 | + | 0.391759i | ||||
\(845\) | −24.9777 | − | 10.9925i | −0.859257 | − | 0.378153i | ||||
\(846\) | −28.1196 | − | 10.8077i | −0.966772 | − | 0.371577i | ||||
\(847\) | −35.1651 | + | 25.5489i | −1.20829 | + | 0.877872i | ||||
\(848\) | −10.5172 | − | 2.23551i | −0.361163 | − | 0.0767676i | ||||
\(849\) | 18.3499 | − | 11.2395i | 0.629766 | − | 0.385738i | ||||
\(850\) | −37.2074 | + | 27.5241i | −1.27620 | + | 0.944070i | ||||
\(851\) | 12.7692 | + | 22.1169i | 0.437723 | + | 0.758159i | ||||
\(852\) | −10.3777 | − | 8.86720i | −0.355535 | − | 0.303785i | ||||
\(853\) | −1.64958 | − | 15.6947i | −0.0564807 | − | 0.537378i | −0.985779 | − | 0.168047i | \(-0.946254\pi\) |
0.929298 | − | 0.369330i | \(-0.120413\pi\) | |||||||
\(854\) | −73.8385 | + | 53.6468i | −2.52670 | + | 1.83576i | ||||
\(855\) | −30.2715 | − | 4.67443i | −1.03526 | − | 0.159862i | ||||
\(856\) | −11.2869 | − | 8.20042i | −0.385779 | − | 0.280285i | ||||
\(857\) | −19.9971 | + | 34.6359i | −0.683086 | + | 1.18314i | 0.290948 | + | 0.956739i | \(0.406029\pi\) |
−0.974034 | + | 0.226401i | \(0.927304\pi\) | |||||||
\(858\) | 2.59074 | + | 5.43454i | 0.0884463 | + | 0.185532i | ||||
\(859\) | −54.6043 | + | 11.6065i | −1.86307 | + | 0.396009i | −0.994953 | − | 0.100344i | \(-0.968006\pi\) |
−0.868121 | + | 0.496352i | \(0.834672\pi\) | |||||||
\(860\) | −73.1433 | − | 15.2191i | −2.49416 | − | 0.518966i | ||||
\(861\) | −6.39134 | + | 2.26178i | −0.217816 | + | 0.0770811i | ||||
\(862\) | −8.32625 | − | 9.24723i | −0.283593 | − | 0.314962i | ||||
\(863\) | 2.37722 | − | 7.31633i | 0.0809215 | − | 0.249051i | −0.902408 | − | 0.430882i | \(-0.858203\pi\) |
0.983330 | + | 0.181831i | \(0.0582025\pi\) | |||||||
\(864\) | 2.37143 | + | 1.82205i | 0.0806777 | + | 0.0619873i | ||||
\(865\) | −17.9015 | − | 30.7010i | −0.608668 | − | 1.04387i | ||||
\(866\) | −33.1552 | − | 36.8226i | −1.12666 | − | 1.25128i | ||||
\(867\) | 2.80278 | − | 4.07622i | 0.0951873 | − | 0.138436i | ||||
\(868\) | 20.4551 | + | 35.4293i | 0.694291 | + | 1.20255i | ||||
\(869\) | 0.563277 | − | 5.35922i | 0.0191079 | − | 0.181799i | ||||
\(870\) | 0.386064 | + | 0.112645i | 0.0130888 | + | 0.00381901i | ||||
\(871\) | −0.335363 | − | 3.19077i | −0.0113634 | − | 0.108115i | ||||
\(872\) | −51.6728 | + | 37.5425i | −1.74986 | + | 1.27135i | ||||
\(873\) | −15.4211 | − | 2.44913i | −0.521924 | − | 0.0828904i | ||||
\(874\) | −61.5921 | −2.08338 | ||||||||
\(875\) | 6.71335 | + | 56.8211i | 0.226953 | + | 1.92090i | ||||
\(876\) | 85.7290 | − | 52.5099i | 2.89651 | − | 1.77415i | ||||
\(877\) | −4.00898 | + | 4.45243i | −0.135374 | + | 0.150348i | −0.807020 | − | 0.590524i | \(-0.798921\pi\) |
0.671646 | + | 0.740872i | \(0.265588\pi\) | |||||||
\(878\) | −89.2639 | − | 39.7429i | −3.01251 | − | 1.34126i | ||||
\(879\) | −14.9642 | + | 36.1052i | −0.504729 | + | 1.21780i | ||||
\(880\) | −4.69476 | + | 14.6630i | −0.158260 | + | 0.494288i | ||||
\(881\) | −35.8213 | − | 26.0257i | −1.20685 | − | 0.876829i | −0.211910 | − | 0.977289i | \(-0.567968\pi\) |
−0.994941 | + | 0.100461i | \(0.967968\pi\) | |||||||
\(882\) | −141.499 | + | 7.35579i | −4.76452 | + | 0.247682i | ||||
\(883\) | 37.8054 | + | 27.4673i | 1.27225 | + | 0.924347i | 0.999290 | − | 0.0376774i | \(-0.0119959\pi\) |
0.272964 | + | 0.962024i | \(0.411996\pi\) | |||||||
\(884\) | 9.10875 | + | 10.1163i | 0.306360 | + | 0.340248i | ||||
\(885\) | −1.11617 | − | 36.8701i | −0.0375195 | − | 1.23938i | ||||
\(886\) | −46.8165 | + | 51.9950i | −1.57283 | + | 1.74681i | ||||
\(887\) | −35.6071 | + | 7.56852i | −1.19557 | + | 0.254126i | −0.762352 | − | 0.647163i | \(-0.775955\pi\) |
−0.433218 | + | 0.901289i | \(0.642622\pi\) | |||||||
\(888\) | 39.1881 | + | 11.6170i | 1.31507 | + | 0.389842i | ||||
\(889\) | −38.1973 | − | 8.11909i | −1.28110 | − | 0.272306i | ||||
\(890\) | −11.0962 | + | 12.4306i | −0.371946 | + | 0.416673i | ||||
\(891\) | −10.5807 | − | 9.54309i | −0.354467 | − | 0.319706i | ||||
\(892\) | 43.2968 | + | 31.4569i | 1.44968 | + | 1.05326i | ||||
\(893\) | 9.31471 | − | 16.1336i | 0.311705 | − | 0.539889i | ||||
\(894\) | −30.1205 | + | 43.8058i | −1.00738 | + | 1.46508i | ||||
\(895\) | 38.9868 | + | 8.11206i | 1.30319 | + | 0.271156i | ||||
\(896\) | 89.1686 | + | 39.7004i | 2.97892 | + | 1.32630i | ||||
\(897\) | −8.39577 | + | 1.10352i | −0.280327 | + | 0.0368456i | ||||
\(898\) | 79.3627 | + | 16.8691i | 2.64837 | + | 0.562928i | ||||
\(899\) | −0.0831187 | −0.00277216 | ||||||||
\(900\) | −43.3877 | − | 42.6847i | −1.44626 | − | 1.42282i | ||||
\(901\) | 9.29786 | 0.309757 | ||||||||
\(902\) | 2.91523 | + | 0.619651i | 0.0970665 | + | 0.0206321i | ||||
\(903\) | −27.9451 | + | 67.4253i | −0.929956 | + | 2.24377i | ||||
\(904\) | −59.0557 | − | 26.2933i | −1.96416 | − | 0.874502i | ||||
\(905\) | 4.45801 | + | 40.7316i | 0.148189 | + | 1.35397i | ||||
\(906\) | 31.5648 | + | 2.49090i | 1.04867 | + | 0.0827546i | ||||
\(907\) | 7.52629 | − | 13.0359i | 0.249906 | − | 0.432850i | −0.713593 | − | 0.700560i | \(-0.752934\pi\) |
0.963500 | + | 0.267710i | \(0.0862669\pi\) | |||||||
\(908\) | 57.5491 | + | 41.8119i | 1.90983 | + | 1.38758i | ||||
\(909\) | 33.0108 | + | 33.0387i | 1.09490 | + | 1.09582i | ||||
\(910\) | 24.5525 | − | 5.32909i | 0.813906 | − | 0.176658i | ||||
\(911\) | −57.3475 | − | 12.1896i | −1.90001 | − | 0.403859i | −0.900488 | − | 0.434881i | \(-0.856791\pi\) |
−0.999519 | + | 0.0310218i | \(0.990124\pi\) | |||||||
\(912\) | −24.9548 | + | 23.6712i | −0.826335 | + | 0.783832i | ||||
\(913\) | −6.01410 | + | 1.27834i | −0.199038 | + | 0.0423068i | ||||
\(914\) | −46.6134 | + | 51.7695i | −1.54184 | + | 1.71238i | ||||
\(915\) | −10.6338 | + | 25.9717i | −0.351542 | + | 0.858599i | ||||
\(916\) | 44.1175 | + | 48.9975i | 1.45768 | + | 1.61892i | ||||
\(917\) | 10.7625 | + | 7.81939i | 0.355408 | + | 0.258219i | ||||
\(918\) | −43.3986 | − | 20.7338i | −1.43237 | − | 0.684317i | ||||
\(919\) | −5.91856 | − | 4.30008i | −0.195235 | − | 0.141847i | 0.485873 | − | 0.874029i | \(-0.338502\pi\) |
−0.681108 | + | 0.732183i | \(0.738502\pi\) | |||||||
\(920\) | −50.3663 | − | 36.2638i | −1.66053 | − | 1.19558i | ||||
\(921\) | −29.0362 | − | 37.8572i | −0.956775 | − | 1.24744i | ||||
\(922\) | 37.3801 | + | 16.6427i | 1.23105 | + | 0.548098i | ||||
\(923\) | 1.15932 | − | 1.28755i | 0.0381594 | − | 0.0423804i | ||||
\(924\) | 50.0352 | + | 27.1806i | 1.64604 | + | 0.894175i | ||||
\(925\) | −21.3652 | − | 9.29334i | −0.702484 | − | 0.305563i | ||||
\(926\) | 26.8105 | 0.881048 | ||||||||
\(927\) | 30.0629 | − | 37.0926i | 0.987395 | − | 1.21828i | ||||
\(928\) | 0.0196442 | − | 0.0142724i | 0.000644853 | − | 0.000468513i | ||||
\(929\) | 2.08049 | + | 19.7945i | 0.0682585 | + | 0.649437i | 0.974146 | + | 0.225919i | \(0.0725383\pi\) |
−0.905888 | + | 0.423518i | \(0.860795\pi\) | |||||||
\(930\) | 16.5405 | + | 8.89348i | 0.542384 | + | 0.291629i | ||||
\(931\) | 9.15895 | − | 87.1416i | 0.300172 | − | 2.85595i | ||||
\(932\) | −38.6899 | − | 67.0130i | −1.26733 | − | 2.19508i | ||||
\(933\) | 0.875594 | + | 0.0690966i | 0.0286657 | + | 0.00226212i | ||||
\(934\) | −40.5987 | − | 45.0894i | −1.32843 | − | 1.47537i | ||||
\(935\) | 1.33479 | − | 13.2466i | 0.0436522 | − | 0.433211i | ||||
\(936\) | −8.53351 | + | 10.5289i | −0.278927 | + | 0.344149i | ||||
\(937\) | 5.65299 | − | 17.3981i | 0.184675 | − | 0.568371i | −0.815268 | − | 0.579084i | \(-0.803410\pi\) |
0.999943 | + | 0.0107132i | \(0.00341019\pi\) | |||||||
\(938\) | −30.3122 | − | 33.6651i | −0.989730 | − | 1.09921i | ||||
\(939\) | 4.17816 | − | 22.5168i | 0.136349 | − | 0.734809i | ||||
\(940\) | 33.7526 | − | 15.2017i | 1.10089 | − | 0.495823i | ||||
\(941\) | 18.4320 | − | 3.91785i | 0.600867 | − | 0.127718i | 0.102572 | − | 0.994726i | \(-0.467293\pi\) |
0.498295 | + | 0.867007i | \(0.333960\pi\) | |||||||
\(942\) | 22.7312 | − | 33.0591i | 0.740622 | − | 1.07712i | ||||
\(943\) | −2.09598 | + | 3.63034i | −0.0682545 | + | 0.118220i | ||||
\(944\) | −33.5108 | − | 24.3470i | −1.09068 | − | 0.792429i | ||||
\(945\) | −48.8796 | + | 33.8583i | −1.59005 | + | 1.10141i | ||||
\(946\) | 25.9572 | − | 18.8590i | 0.843942 | − | 0.613160i | ||||
\(947\) | −3.18036 | − | 30.2591i | −0.103348 | − | 0.983288i | −0.916174 | − | 0.400782i | \(-0.868739\pi\) |
0.812826 | − | 0.582507i | \(-0.197928\pi\) | |||||||
\(948\) | 22.5512 | − | 7.98046i | 0.732430 | − | 0.259193i | ||||
\(949\) | 6.38018 | + | 11.0508i | 0.207109 | + | 0.358724i | ||||
\(950\) | 45.1740 | − | 33.4174i | 1.46564 | − | 1.08420i | ||||
\(951\) | −15.9662 | − | 8.67332i | −0.517741 | − | 0.281252i | ||||
\(952\) | 95.3395 | + | 20.2650i | 3.08997 | + | 0.656794i | ||||
\(953\) | −6.16233 | + | 4.47720i | −0.199617 | + | 0.145031i | −0.683104 | − | 0.730321i | \(-0.739370\pi\) |
0.483486 | + | 0.875352i | \(0.339370\pi\) | |||||||
\(954\) | 2.84803 | + | 18.0310i | 0.0922083 | + | 0.583774i | ||||
\(955\) | −2.46857 | + | 24.4985i | −0.0798810 | + | 0.792753i | ||||
\(956\) | −25.8299 | + | 11.5002i | −0.835397 | + | 0.371943i | ||||
\(957\) | −0.0986543 | + | 0.0604268i | −0.00318904 | + | 0.00195332i | ||||
\(958\) | 9.96865 | − | 94.8453i | 0.322072 | − | 3.06431i | ||||
\(959\) | 28.0980 | − | 5.97242i | 0.907333 | − | 0.192860i | ||||
\(960\) | 27.9453 | − | 3.79523i | 0.901930 | − | 0.122490i | ||||
\(961\) | 26.5260 | + | 5.63827i | 0.855677 | + | 0.181880i | ||||
\(962\) | −3.16147 | + | 9.73000i | −0.101930 | + | 0.313708i | ||||
\(963\) | −2.14239 | + | 7.98205i | −0.0690377 | + | 0.257218i | ||||
\(964\) | −3.80381 | − | 11.7069i | −0.122513 | − | 0.377055i | ||||
\(965\) | 4.40399 | − | 13.7548i | 0.141769 | − | 0.442783i | ||||
\(966\) | −86.7471 | + | 82.2852i | −2.79104 | + | 2.64748i | ||||
\(967\) | −5.19009 | + | 49.3804i | −0.166902 | + | 1.58797i | 0.515435 | + | 0.856929i | \(0.327630\pi\) |
−0.682337 | + | 0.731038i | \(0.739036\pi\) | |||||||
\(968\) | 21.5069 | + | 37.2511i | 0.691258 | + | 1.19729i | ||||
\(969\) | 16.8520 | − | 24.5087i | 0.541364 | − | 0.787334i | ||||
\(970\) | 23.1012 | − | 16.9361i | 0.741736 | − | 0.543785i | ||||
\(971\) | −0.472976 | + | 0.343637i | −0.0151785 | + | 0.0110278i | −0.595349 | − | 0.803467i | \(-0.702986\pi\) |
0.580170 | + | 0.814495i | \(0.302986\pi\) | |||||||
\(972\) | 18.0285 | − | 60.6285i | 0.578266 | − | 1.94466i | ||||
\(973\) | 2.72713 | + | 8.39323i | 0.0874276 | + | 0.269075i | ||||
\(974\) | 1.11660 | − | 1.93400i | 0.0357780 | − | 0.0619693i | ||||
\(975\) | 5.55905 | − | 5.36457i | 0.178032 | − | 0.171804i | ||||
\(976\) | 15.7572 | + | 27.2923i | 0.504376 | + | 0.873604i | ||||
\(977\) | 36.8148 | − | 40.8870i | 1.17781 | − | 1.30809i | 0.236075 | − | 0.971735i | \(-0.424139\pi\) |
0.941735 | − | 0.336356i | \(-0.109194\pi\) | |||||||
\(978\) | 13.2664 | − | 1.74371i | 0.424213 | − | 0.0557576i | ||||
\(979\) | −0.501040 | − | 4.76707i | −0.0160133 | − | 0.152356i | ||||
\(980\) | 115.946 | − | 129.888i | 3.70375 | − | 4.14913i | ||||
\(981\) | 31.7234 | + | 20.6204i | 1.01285 | + | 0.658360i | ||||
\(982\) | 11.5241 | 0.367750 | ||||||||
\(983\) | 53.4151 | − | 23.7819i | 1.70368 | − | 0.758526i | 0.704889 | − | 0.709317i | \(-0.250997\pi\) |
0.998789 | − | 0.0492089i | \(-0.0156700\pi\) | |||||||
\(984\) | 1.56484 | + | 6.52410i | 0.0498853 | + | 0.207981i | ||||
\(985\) | −55.2238 | − | 11.4905i | −1.75958 | − | 0.366119i | ||||
\(986\) | −0.261308 | + | 0.290211i | −0.00832173 | + | 0.00924222i | ||||
\(987\) | −8.43498 | − | 35.1669i | −0.268488 | − | 1.11937i | ||||
\(988\) | −11.0590 | − | 12.2823i | −0.351835 | − | 0.390753i | ||||
\(989\) | 13.9454 | + | 42.9196i | 0.443439 | + | 1.36476i | ||||
\(990\) | 26.0976 | − | 1.46908i | 0.829435 | − | 0.0466905i | ||||
\(991\) | −14.9966 | + | 46.1549i | −0.476384 | + | 1.46616i | 0.367699 | + | 0.929945i | \(0.380146\pi\) |
−0.844082 | + | 0.536213i | \(0.819854\pi\) | |||||||
\(992\) | 1.03585 | − | 0.461191i | 0.0328883 | − | 0.0146428i | ||||
\(993\) | −3.72254 | − | 2.02219i | −0.118131 | − | 0.0641723i | ||||
\(994\) | 2.55713 | − | 24.3295i | 0.0811072 | − | 0.771684i | ||||
\(995\) | 3.73133 | + | 4.10844i | 0.118291 | + | 0.130246i | ||||
\(996\) | −16.6111 | − | 21.6574i | −0.526342 | − | 0.686242i | ||||
\(997\) | −4.86241 | − | 46.2628i | −0.153994 | − | 1.46516i | −0.749606 | − | 0.661884i | \(-0.769757\pi\) |
0.595612 | − | 0.803273i | \(-0.296910\pi\) | |||||||
\(998\) | −10.6523 | − | 32.7843i | −0.337192 | − | 1.03777i | ||||
\(999\) | −1.88445 | − | 24.1395i | −0.0596213 | − | 0.763739i |
(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 | 225.2.q.a.106.3 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.181.26 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.31.26 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.r.a.631.3 | 224 | |||
25.21 | even | 5 | inner | 225.2.q.a.196.26 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.46.3 | 224 | |||
225.121 | even | 15 | inner | 225.2.q.a.121.3 | yes | 224 | |
225.221 | odd | 30 | 675.2.r.a.496.26 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.26 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.106.3 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.121.3 | yes | 224 | 225.121 | even | 15 | inner | |
225.2.q.a.196.26 | yes | 224 | 25.21 | even | 5 | inner | |
675.2.r.a.46.3 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.181.26 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.496.26 | 224 | 225.221 | odd | 30 | |||
675.2.r.a.631.3 | 224 | 9.5 | odd | 6 |