Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.74 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.74 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07853 | − | 0.914752i | 0.762636 | − | 0.646827i | ||||
\(3\) | −1.71952 | + | 0.208009i | −0.992763 | + | 0.120094i | ||||
\(4\) | 0.326458 | − | 1.97318i | 0.163229 | − | 0.986588i | ||||
\(5\) | 1.32420 | + | 1.50996i | 0.592200 | + | 0.675275i | 0.967862 | − | 0.251482i | \(-0.0809179\pi\) |
−0.375662 | + | 0.926757i | \(0.622585\pi\) | |||||||
\(6\) | −1.66427 | + | 1.79727i | −0.679437 | + | 0.733734i | ||||
\(7\) | −3.08898 | − | 0.406671i | −1.16752 | − | 0.153707i | −0.478260 | − | 0.878218i | \(-0.658732\pi\) |
−0.689263 | + | 0.724511i | \(0.742066\pi\) | |||||||
\(8\) | −1.45287 | − | 2.42676i | −0.513668 | − | 0.857989i | ||||
\(9\) | 2.91346 | − | 0.715350i | 0.971155 | − | 0.238450i | ||||
\(10\) | 2.80943 | + | 0.417225i | 0.888420 | + | 0.131938i | ||||
\(11\) | −2.05267 | − | 4.16240i | −0.618903 | − | 1.25501i | −0.950246 | − | 0.311501i | \(-0.899168\pi\) |
0.331343 | − | 0.943510i | \(-0.392498\pi\) | |||||||
\(12\) | −0.150910 | + | 3.46081i | −0.0435640 | + | 0.999051i | ||||
\(13\) | 0.0196135 | + | 0.0577796i | 0.00543982 | + | 0.0160252i | 0.949616 | − | 0.313415i | \(-0.101473\pi\) |
−0.944176 | + | 0.329441i | \(0.893140\pi\) | |||||||
\(14\) | −3.70356 | + | 2.38704i | −0.989818 | + | 0.637963i | ||||
\(15\) | −2.59107 | − | 2.32095i | −0.669011 | − | 0.599268i | ||||
\(16\) | −3.78685 | − | 1.28832i | −0.946713 | − | 0.322079i | ||||
\(17\) | −2.39965 | − | 2.39965i | −0.582002 | − | 0.582002i | 0.353451 | − | 0.935453i | \(-0.385008\pi\) |
−0.935453 | + | 0.353451i | \(0.885008\pi\) | |||||||
\(18\) | 2.48789 | − | 3.43662i | 0.586402 | − | 0.810020i | ||||
\(19\) | 0.881841 | − | 4.43331i | 0.202308 | − | 1.01707i | −0.737494 | − | 0.675353i | \(-0.763991\pi\) |
0.939802 | − | 0.341718i | \(-0.111009\pi\) | |||||||
\(20\) | 3.41171 | − | 2.11994i | 0.762882 | − | 0.474033i | ||||
\(21\) | 5.39613 | + | 0.0567420i | 1.17753 | + | 0.0123821i | ||||
\(22\) | −6.02143 | − | 2.61160i | −1.28377 | − | 0.556794i | ||||
\(23\) | −0.0159916 | − | 0.121468i | −0.00333447 | − | 0.0253278i | 0.989697 | − | 0.143179i | \(-0.0457326\pi\) |
−0.993031 | + | 0.117852i | \(0.962399\pi\) | |||||||
\(24\) | 3.00302 | + | 3.87064i | 0.612990 | + | 0.790091i | ||||
\(25\) | 0.126155 | − | 0.958245i | 0.0252311 | − | 0.191649i | ||||
\(26\) | 0.0740078 | + | 0.0443756i | 0.0145141 | + | 0.00870277i | ||||
\(27\) | −4.86095 | + | 1.83608i | −0.935490 | + | 0.353354i | ||||
\(28\) | −1.81085 | + | 5.96233i | −0.342219 | + | 1.12677i | ||||
\(29\) | −1.97603 | + | 0.129516i | −0.366939 | + | 0.0240505i | −0.247758 | − | 0.968822i | \(-0.579694\pi\) |
−0.119181 | + | 0.992872i | \(0.538027\pi\) | |||||||
\(30\) | −4.91764 | − | 0.133037i | −0.897835 | − | 0.0242891i | ||||
\(31\) | 1.81908 | − | 1.05024i | 0.326716 | − | 0.188630i | −0.327666 | − | 0.944794i | \(-0.606262\pi\) |
0.654382 | + | 0.756164i | \(0.272929\pi\) | |||||||
\(32\) | −5.26273 | + | 2.07454i | −0.930327 | + | 0.366730i | ||||
\(33\) | 4.39541 | + | 6.73034i | 0.765143 | + | 1.17160i | ||||
\(34\) | −4.78319 | − | 0.393013i | −0.820310 | − | 0.0674011i | ||||
\(35\) | −3.47636 | − | 5.20274i | −0.587613 | − | 0.879424i | ||||
\(36\) | −0.460389 | − | 5.98231i | −0.0767315 | − | 0.997052i | ||||
\(37\) | 0.634863 | + | 3.19167i | 0.104371 | + | 0.524708i | 0.997231 | + | 0.0743726i | \(0.0236954\pi\) |
−0.892860 | + | 0.450335i | \(0.851305\pi\) | |||||||
\(38\) | −3.10429 | − | 5.58813i | −0.503582 | − | 0.906514i | ||||
\(39\) | −0.0457445 | − | 0.0952731i | −0.00732498 | − | 0.0152559i | ||||
\(40\) | 1.74042 | − | 5.40729i | 0.275184 | − | 0.854968i | ||||
\(41\) | −0.752383 | − | 5.71491i | −0.117502 | − | 0.892519i | −0.944085 | − | 0.329703i | \(-0.893051\pi\) |
0.826582 | − | 0.562816i | \(-0.190282\pi\) | |||||||
\(42\) | 5.87180 | − | 4.87492i | 0.906038 | − | 0.752217i | ||||
\(43\) | −6.77492 | + | 3.34102i | −1.03317 | + | 0.509501i | −0.878137 | − | 0.478409i | \(-0.841214\pi\) |
−0.155029 | + | 0.987910i | \(0.549547\pi\) | |||||||
\(44\) | −8.88326 | + | 2.69143i | −1.33920 | + | 0.405748i | ||||
\(45\) | 4.93816 | + | 3.45195i | 0.736137 | + | 0.514586i | ||||
\(46\) | −0.128361 | − | 0.116379i | −0.0189257 | − | 0.0171591i | ||||
\(47\) | 8.22030 | − | 2.20262i | 1.19905 | − | 0.321285i | 0.396595 | − | 0.917994i | \(-0.370192\pi\) |
0.802458 | + | 0.596708i | \(0.203525\pi\) | |||||||
\(48\) | 6.77953 | + | 1.42758i | 0.978541 | + | 0.206054i | ||||
\(49\) | 2.61491 | + | 0.700662i | 0.373558 | + | 0.100095i | ||||
\(50\) | −0.740494 | − | 1.14890i | −0.104722 | − | 0.162479i | ||||
\(51\) | 4.62539 | + | 3.62709i | 0.647684 | + | 0.507894i | ||||
\(52\) | 0.120412 | − | 0.0198384i | 0.0166982 | − | 0.00275109i | ||||
\(53\) | −5.66087 | + | 8.47209i | −0.777580 | + | 1.16373i | 0.205158 | + | 0.978729i | \(0.434229\pi\) |
−0.982738 | + | 0.185002i | \(0.940771\pi\) | |||||||
\(54\) | −3.56312 | + | 6.42683i | −0.484879 | + | 0.874581i | ||||
\(55\) | 3.56692 | − | 8.61130i | 0.480963 | − | 1.16115i | ||||
\(56\) | 3.50099 | + | 8.08704i | 0.467840 | + | 1.08068i | ||||
\(57\) | −0.594168 | + | 7.80658i | −0.0786995 | + | 1.03401i | ||||
\(58\) | −2.01273 | + | 1.94726i | −0.264285 | + | 0.255688i | ||||
\(59\) | 7.29793 | + | 8.32170i | 0.950110 | + | 1.08339i | 0.996426 | + | 0.0844660i | \(0.0269184\pi\) |
−0.0463163 | + | 0.998927i | \(0.514748\pi\) | |||||||
\(60\) | −5.42553 | + | 4.35494i | −0.700432 | + | 0.562220i | ||||
\(61\) | −0.316358 | − | 4.82669i | −0.0405055 | − | 0.617994i | −0.969064 | − | 0.246809i | \(-0.920618\pi\) |
0.928559 | − | 0.371186i | \(-0.121049\pi\) | |||||||
\(62\) | 1.00122 | − | 2.79673i | 0.127155 | − | 0.355185i | ||||
\(63\) | −9.29053 | + | 1.02488i | −1.17050 | + | 0.129122i | ||||
\(64\) | −3.77832 | + | 7.05154i | −0.472290 | + | 0.881443i | ||||
\(65\) | −0.0612727 | + | 0.106127i | −0.00759994 | + | 0.0131635i | ||||
\(66\) | 10.8972 | + | 3.23816i | 1.34135 | + | 0.398590i | ||||
\(67\) | 9.75443 | + | 4.81035i | 1.19169 | + | 0.587678i | 0.926419 | − | 0.376495i | \(-0.122871\pi\) |
0.265274 | + | 0.964173i | \(0.414538\pi\) | |||||||
\(68\) | −5.51833 | + | 3.95156i | −0.669195 | + | 0.479196i | ||||
\(69\) | 0.0527642 | + | 0.205540i | 0.00635207 | + | 0.0247441i | ||||
\(70\) | −8.50859 | − | 2.43131i | −1.01697 | − | 0.290597i | ||||
\(71\) | 3.83837 | + | 9.26665i | 0.455531 | + | 1.09975i | 0.970188 | + | 0.242353i | \(0.0779193\pi\) |
−0.514657 | + | 0.857396i | \(0.672081\pi\) | |||||||
\(72\) | −5.96887 | − | 6.03096i | −0.703439 | − | 0.710756i | ||||
\(73\) | 6.33975 | − | 15.3055i | 0.742012 | − | 1.79138i | 0.144518 | − | 0.989502i | \(-0.453837\pi\) |
0.597494 | − | 0.801874i | \(-0.296163\pi\) | |||||||
\(74\) | 3.60431 | + | 2.86157i | 0.418992 | + | 0.332651i | ||||
\(75\) | −0.0176022 | + | 1.67396i | −0.00203253 | + | 0.193292i | ||||
\(76\) | −8.45982 | − | 3.18732i | −0.970408 | − | 0.365610i | ||||
\(77\) | 4.64792 | + | 13.6923i | 0.529679 | + | 1.56038i | ||||
\(78\) | −0.136488 | − | 0.0609102i | −0.0154542 | − | 0.00689672i | ||||
\(79\) | −4.35111 | − | 16.2386i | −0.489538 | − | 1.82698i | −0.558691 | − | 0.829376i | \(-0.688696\pi\) |
0.0691526 | − | 0.997606i | \(-0.477970\pi\) | |||||||
\(80\) | −3.06924 | − | 7.42398i | −0.343151 | − | 0.830027i | ||||
\(81\) | 7.97655 | − | 4.16829i | 0.886283 | − | 0.463144i | ||||
\(82\) | −6.03920 | − | 5.47547i | −0.666918 | − | 0.604664i | ||||
\(83\) | −3.51762 | − | 3.08487i | −0.386109 | − | 0.338608i | 0.444184 | − | 0.895935i | \(-0.353494\pi\) |
−0.830293 | + | 0.557327i | \(0.811827\pi\) | |||||||
\(84\) | 1.87357 | − | 10.6290i | 0.204423 | − | 1.15972i | ||||
\(85\) | 0.445761 | − | 6.80100i | 0.0483496 | − | 0.737673i | ||||
\(86\) | −4.25076 | + | 9.80077i | −0.458371 | + | 1.05684i | ||||
\(87\) | 3.37087 | − | 0.633736i | 0.361395 | − | 0.0679437i | ||||
\(88\) | −7.11888 | + | 11.0288i | −0.758875 | + | 1.17567i | ||||
\(89\) | −3.30441 | + | 1.36873i | −0.350266 | + | 0.145085i | −0.550878 | − | 0.834586i | \(-0.685707\pi\) |
0.200612 | + | 0.979671i | \(0.435707\pi\) | |||||||
\(90\) | 8.48364 | − | 0.794157i | 0.894254 | − | 0.0837115i | ||||
\(91\) | −0.0370884 | − | 0.186456i | −0.00388792 | − | 0.0195459i | ||||
\(92\) | −0.244899 | − | 0.00809999i | −0.0255324 | − | 0.000844482i | ||||
\(93\) | −2.90947 | + | 2.18430i | −0.301698 | + | 0.226501i | ||||
\(94\) | 6.85099 | − | 9.89513i | 0.706626 | − | 1.02060i | ||||
\(95\) | 7.86186 | − | 4.53905i | 0.806610 | − | 0.465696i | ||||
\(96\) | 8.61781 | − | 4.66190i | 0.879552 | − | 0.475803i | ||||
\(97\) | 3.87912 | + | 2.23961i | 0.393865 | + | 0.227398i | 0.683833 | − | 0.729638i | \(-0.260312\pi\) |
−0.289969 | + | 0.957036i | \(0.593645\pi\) | |||||||
\(98\) | 3.46119 | − | 1.63630i | 0.349633 | − | 0.165292i | ||||
\(99\) | −8.95795 | − | 10.6586i | −0.900308 | − | 1.07123i | ||||
\(100\) | −1.84960 | − | 0.561753i | −0.184960 | − | 0.0561753i | ||||
\(101\) | 11.9258 | + | 4.04825i | 1.18666 | + | 0.402816i | 0.843844 | − | 0.536588i | \(-0.180287\pi\) |
0.342813 | + | 0.939404i | \(0.388620\pi\) | |||||||
\(102\) | 8.30652 | − | 0.319156i | 0.822468 | − | 0.0316012i | ||||
\(103\) | 4.21351 | + | 3.23314i | 0.415169 | + | 0.318571i | 0.795138 | − | 0.606429i | \(-0.207399\pi\) |
−0.379969 | + | 0.924999i | \(0.624065\pi\) | |||||||
\(104\) | 0.111721 | − | 0.131544i | 0.0109552 | − | 0.0128989i | ||||
\(105\) | 7.05988 | + | 8.22308i | 0.688974 | + | 0.802491i | ||||
\(106\) | 1.64444 | + | 14.3157i | 0.159722 | + | 1.39046i | ||||
\(107\) | 13.5749 | + | 9.07043i | 1.31233 | + | 0.876871i | 0.997387 | − | 0.0722391i | \(-0.0230145\pi\) |
0.314943 | + | 0.949110i | \(0.398014\pi\) | |||||||
\(108\) | 2.03602 | + | 10.1909i | 0.195916 | + | 0.980621i | ||||
\(109\) | 2.92075 | − | 14.6836i | 0.279757 | − | 1.40643i | −0.543808 | − | 0.839210i | \(-0.683018\pi\) |
0.823564 | − | 0.567223i | \(-0.191982\pi\) | |||||||
\(110\) | −4.03017 | − | 12.5504i | −0.384262 | − | 1.19663i | ||||
\(111\) | −1.75555 | − | 5.35607i | −0.166630 | − | 0.508376i | ||||
\(112\) | 11.1736 | + | 5.51958i | 1.05580 | + | 0.521552i | ||||
\(113\) | −4.15305 | − | 1.11281i | −0.390686 | − | 0.104684i | 0.0581281 | − | 0.998309i | \(-0.481487\pi\) |
−0.448814 | + | 0.893625i | \(0.648153\pi\) | |||||||
\(114\) | 6.50025 | + | 8.96315i | 0.608805 | + | 0.839476i | ||||
\(115\) | 0.162236 | − | 0.184995i | 0.0151286 | − | 0.0172508i | ||||
\(116\) | −0.389532 | + | 3.94133i | −0.0361672 | + | 0.365944i | ||||
\(117\) | 0.0984760 | + | 0.154308i | 0.00910411 | + | 0.0142658i | ||||
\(118\) | 15.4833 | + | 2.29941i | 1.42536 | + | 0.211678i | ||||
\(119\) | 6.43660 | + | 8.38834i | 0.590042 | + | 0.768958i | ||||
\(120\) | −1.86791 | + | 9.65995i | −0.170516 | + | 0.881829i | ||||
\(121\) | −6.41576 | + | 8.36118i | −0.583251 | + | 0.760107i | ||||
\(122\) | −4.75643 | − | 4.91635i | −0.430627 | − | 0.445105i | ||||
\(123\) | 2.48249 | + | 9.67038i | 0.223838 | + | 0.871948i | ||||
\(124\) | −1.47847 | − | 3.93222i | −0.132770 | − | 0.353124i | ||||
\(125\) | 9.96339 | − | 6.65733i | 0.891153 | − | 0.595449i | ||||
\(126\) | −9.08262 | + | 9.60389i | −0.809144 | + | 0.855583i | ||||
\(127\) | −11.9035 | −1.05626 | −0.528131 | − | 0.849163i | \(-0.677107\pi\) | ||||
−0.528131 | + | 0.849163i | \(0.677107\pi\) | |||||||
\(128\) | 2.37537 | + | 11.0615i | 0.209955 | + | 0.977711i | ||||
\(129\) | 10.9546 | − | 7.15418i | 0.964500 | − | 0.629891i | ||||
\(130\) | 0.0309958 | + | 0.170511i | 0.00271851 | + | 0.0149548i | ||||
\(131\) | −6.74509 | − | 3.32631i | −0.589322 | − | 0.290621i | 0.123076 | − | 0.992397i | \(-0.460724\pi\) |
−0.712398 | + | 0.701776i | \(0.752391\pi\) | |||||||
\(132\) | 14.7151 | − | 6.47576i | 1.28078 | − | 0.563642i | ||||
\(133\) | −4.52689 | + | 13.3358i | −0.392531 | + | 1.15636i | ||||
\(134\) | 14.9207 | − | 3.73477i | 1.28895 | − | 0.322635i | ||||
\(135\) | −9.20928 | − | 4.90850i | −0.792608 | − | 0.422456i | ||||
\(136\) | −2.33699 | + | 9.30977i | −0.200395 | + | 0.798307i | ||||
\(137\) | 7.16649 | + | 9.33955i | 0.612274 | + | 0.797932i | 0.991875 | − | 0.127219i | \(-0.0406051\pi\) |
−0.379600 | + | 0.925151i | \(0.623938\pi\) | |||||||
\(138\) | 0.244926 | + | 0.173415i | 0.0208495 | + | 0.0147621i | ||||
\(139\) | −0.420212 | − | 0.0275421i | −0.0356419 | − | 0.00233609i | 0.0475717 | − | 0.998868i | \(-0.484852\pi\) |
−0.0832137 | + | 0.996532i | \(0.526518\pi\) | |||||||
\(140\) | −11.4008 | + | 5.16100i | −0.963545 | + | 0.436184i | ||||
\(141\) | −13.6768 | + | 5.49734i | −1.15179 | + | 0.462960i | ||||
\(142\) | 12.6165 | + | 6.48321i | 1.05875 | + | 0.544059i | ||||
\(143\) | 0.200242 | − | 0.200242i | 0.0167451 | − | 0.0167451i | ||||
\(144\) | −11.9545 | − | 1.04454i | −0.996204 | − | 0.0870452i | ||||
\(145\) | −2.81222 | − | 2.81222i | −0.233542 | − | 0.233542i | ||||
\(146\) | −7.16313 | − | 22.3068i | −0.592825 | − | 1.84612i | ||||
\(147\) | −4.64211 | − | 0.660874i | −0.382875 | − | 0.0545080i | ||||
\(148\) | 6.50499 | − | 0.210751i | 0.534707 | − | 0.0173236i | ||||
\(149\) | −0.894745 | + | 13.6512i | −0.0733004 | + | 1.11835i | 0.789817 | + | 0.613343i | \(0.210176\pi\) |
−0.863117 | + | 0.505004i | \(0.831491\pi\) | |||||||
\(150\) | 1.51227 | + | 1.82152i | 0.123477 | + | 0.148726i | ||||
\(151\) | 5.81153 | − | 4.45935i | 0.472936 | − | 0.362896i | −0.344623 | − | 0.938741i | \(-0.611993\pi\) |
0.817559 | + | 0.575845i | \(0.195327\pi\) | |||||||
\(152\) | −12.0398 | + | 4.30102i | −0.976556 | + | 0.348859i | ||||
\(153\) | −8.70790 | − | 5.27471i | −0.703992 | − | 0.426435i | ||||
\(154\) | 17.5380 | + | 10.5159i | 1.41325 | + | 0.847395i | ||||
\(155\) | 3.99465 | + | 1.35600i | 0.320858 | + | 0.108917i | ||||
\(156\) | −0.202924 | + | 0.0591593i | −0.0162469 | + | 0.00473653i | ||||
\(157\) | 5.37868 | − | 10.9069i | 0.429265 | − | 0.870464i | −0.569557 | − | 0.821952i | \(-0.692885\pi\) |
0.998823 | − | 0.0485122i | \(-0.0154480\pi\) | |||||||
\(158\) | −19.5471 | − | 13.5336i | −1.55508 | − | 1.07668i | ||||
\(159\) | 7.97167 | − | 15.7454i | 0.632195 | − | 1.24869i | ||||
\(160\) | −10.1014 | − | 5.19940i | −0.798584 | − | 0.411049i | ||||
\(161\) | 0.381715i | 0.0300834i | ||||||||
\(162\) | 4.79000 | − | 11.7922i | 0.376338 | − | 0.926483i | ||||
\(163\) | 1.41253 | + | 2.11400i | 0.110638 | + | 0.165581i | 0.882656 | − | 0.470019i | \(-0.155753\pi\) |
−0.772019 | + | 0.635600i | \(0.780753\pi\) | |||||||
\(164\) | −11.5222 | − | 0.381094i | −0.899729 | − | 0.0297584i | ||||
\(165\) | −4.34214 | + | 15.5492i | −0.338035 | + | 1.21050i | ||||
\(166\) | −6.61574 | − | 0.109378i | −0.513481 | − | 0.00848934i | ||||
\(167\) | −11.4271 | − | 8.76829i | −0.884253 | − | 0.678511i | 0.0633399 | − | 0.997992i | \(-0.479825\pi\) |
−0.947593 | + | 0.319481i | \(0.896491\pi\) | |||||||
\(168\) | −7.70219 | − | 13.1776i | −0.594237 | − | 1.01667i | ||||
\(169\) | 10.3106 | − | 7.91163i | 0.793126 | − | 0.608587i | ||||
\(170\) | −5.74046 | − | 7.74285i | −0.440274 | − | 0.593850i | ||||
\(171\) | −0.602159 | − | 13.5471i | −0.0460483 | − | 1.03597i | ||||
\(172\) | 4.38070 | + | 14.4588i | 0.334025 | + | 1.10247i | ||||
\(173\) | 6.69592 | + | 5.87216i | 0.509081 | + | 0.446452i | 0.874949 | − | 0.484215i | \(-0.160895\pi\) |
−0.365868 | + | 0.930667i | \(0.619228\pi\) | |||||||
\(174\) | 3.05588 | − | 3.76701i | 0.231665 | − | 0.285577i | ||||
\(175\) | −0.779382 | + | 2.90869i | −0.0589157 | + | 0.219876i | ||||
\(176\) | 2.41066 | + | 18.4069i | 0.181710 | + | 1.38747i | ||||
\(177\) | −14.2799 | − | 12.7912i | −1.07334 | − | 0.961449i | ||||
\(178\) | −2.31186 | + | 4.49893i | −0.173281 | + | 0.337209i | ||||
\(179\) | −18.1080 | − | 3.60190i | −1.35345 | − | 0.269219i | −0.535516 | − | 0.844525i | \(-0.679883\pi\) |
−0.817938 | + | 0.575306i | \(0.804883\pi\) | |||||||
\(180\) | 8.42341 | − | 8.61694i | 0.627844 | − | 0.642269i | ||||
\(181\) | −7.65157 | + | 11.4514i | −0.568737 | + | 0.851175i | −0.998663 | − | 0.0516892i | \(-0.983539\pi\) |
0.429926 | + | 0.902864i | \(0.358539\pi\) | |||||||
\(182\) | −0.210562 | − | 0.167172i | −0.0156079 | − | 0.0123916i | ||||
\(183\) | 1.54798 | + | 8.23376i | 0.114430 | + | 0.608657i | ||||
\(184\) | −0.271540 | + | 0.215285i | −0.0200182 | + | 0.0158710i | ||||
\(185\) | −3.97861 | + | 5.18503i | −0.292513 | + | 0.381211i | ||||
\(186\) | −1.13986 | + | 5.01727i | −0.0835789 | + | 0.367884i | ||||
\(187\) | −5.06263 | + | 14.9140i | −0.370216 | + | 1.09062i | ||||
\(188\) | −1.66258 | − | 16.9392i | −0.121256 | − | 1.23542i | ||||
\(189\) | 15.7620 | − | 3.69481i | 1.14652 | − | 0.268758i | ||||
\(190\) | 4.32716 | − | 12.0872i | 0.313925 | − | 0.876894i | ||||
\(191\) | −5.49772 | + | 9.52233i | −0.397801 | + | 0.689011i | −0.993454 | − | 0.114230i | \(-0.963560\pi\) |
0.595653 | + | 0.803242i | \(0.296893\pi\) | |||||||
\(192\) | 5.03010 | − | 12.9112i | 0.363016 | − | 0.931783i | ||||
\(193\) | −8.08886 | − | 14.0103i | −0.582249 | − | 1.00848i | −0.995212 | − | 0.0977373i | \(-0.968840\pi\) |
0.412963 | − | 0.910748i | \(-0.364494\pi\) | |||||||
\(194\) | 6.23243 | − | 1.13294i | 0.447463 | − | 0.0813405i | ||||
\(195\) | 0.0832838 | − | 0.195233i | 0.00596408 | − | 0.0139809i | ||||
\(196\) | 2.23619 | − | 4.93093i | 0.159728 | − | 0.352209i | ||||
\(197\) | 1.32042 | − | 0.262647i | 0.0940758 | − | 0.0187128i | −0.147828 | − | 0.989013i | \(-0.547228\pi\) |
0.241904 | + | 0.970300i | \(0.422228\pi\) | |||||||
\(198\) | −19.4114 | − | 3.30136i | −1.37951 | − | 0.234617i | ||||
\(199\) | −1.83708 | − | 4.43509i | −0.130227 | − | 0.314395i | 0.845294 | − | 0.534301i | \(-0.179425\pi\) |
−0.975521 | + | 0.219906i | \(0.929425\pi\) | |||||||
\(200\) | −2.50872 | + | 1.08606i | −0.177393 | + | 0.0767960i | ||||
\(201\) | −17.7735 | − | 6.24246i | −1.25364 | − | 0.440309i | ||||
\(202\) | 16.5654 | − | 6.54295i | 1.16554 | − | 0.460360i | ||||
\(203\) | 6.15657 | + | 0.403523i | 0.432107 | + | 0.0283218i | ||||
\(204\) | 8.66689 | − | 7.94262i | 0.606803 | − | 0.556095i | ||||
\(205\) | 7.63299 | − | 8.70376i | 0.533111 | − | 0.607897i | ||||
\(206\) | 7.50192 | − | 0.367275i | 0.522683 | − | 0.0255893i | ||||
\(207\) | −0.133483 | − | 0.342453i | −0.00927772 | − | 0.0238022i | ||||
\(208\) | 0.000164939 | − | 0.244071i | 1.14365e−5 | − | 0.0169233i | ||||
\(209\) | −20.2634 | + | 5.42955i | −1.40165 | + | 0.375570i | ||||
\(210\) | 15.1364 | + | 2.41081i | 1.04451 | + | 0.166362i | ||||
\(211\) | −23.9521 | + | 8.13063i | −1.64893 | + | 0.559735i | −0.982569 | − | 0.185897i | \(-0.940481\pi\) |
−0.666358 | + | 0.745632i | \(0.732148\pi\) | |||||||
\(212\) | 14.8689 | + | 13.9357i | 1.02120 | + | 0.957106i | ||||
\(213\) | −8.52769 | − | 15.1357i | −0.584308 | − | 1.03708i | ||||
\(214\) | 22.9381 | − | 2.63489i | 1.56802 | − | 0.180117i | ||||
\(215\) | −14.0162 | − | 5.80569i | −0.955894 | − | 0.395944i | ||||
\(216\) | 11.5181 | + | 9.12875i | 0.783705 | + | 0.621133i | ||||
\(217\) | −6.04619 | + | 2.50441i | −0.410442 | + | 0.170011i | ||||
\(218\) | −10.2817 | − | 18.5085i | −0.696366 | − | 1.25355i | ||||
\(219\) | −7.71761 | + | 27.6368i | −0.521508 | + | 1.86752i | ||||
\(220\) | −15.8272 | − | 9.84938i | −1.06707 | − | 0.664045i | ||||
\(221\) | 0.0915854 | − | 0.185717i | 0.00616070 | − | 0.0124927i | ||||
\(222\) | −6.79289 | − | 4.17079i | −0.455909 | − | 0.279925i | ||||
\(223\) | 12.8000 | + | 7.39006i | 0.857149 | + | 0.494875i | 0.863056 | − | 0.505108i | \(-0.168547\pi\) |
−0.00590775 | + | 0.999983i | \(0.501881\pi\) | |||||||
\(224\) | 17.1001 | − | 4.26800i | 1.14255 | − | 0.285168i | ||||
\(225\) | −0.317932 | − | 2.88206i | −0.0211954 | − | 0.192137i | ||||
\(226\) | −5.49713 | + | 2.59881i | −0.365664 | + | 0.172871i | ||||
\(227\) | −4.26614 | + | 0.279618i | −0.283154 | + | 0.0185589i | −0.206318 | − | 0.978485i | \(-0.566148\pi\) |
−0.0768353 | + | 0.997044i | \(0.524482\pi\) | |||||||
\(228\) | 15.2098 | + | 3.72092i | 1.00729 | + | 0.246424i | ||||
\(229\) | 13.9049 | − | 12.1942i | 0.918860 | − | 0.805818i | −0.0624907 | − | 0.998046i | \(-0.519904\pi\) |
0.981350 | + | 0.192227i | \(0.0615711\pi\) | |||||||
\(230\) | 0.00575227 | − | 0.347928i | 0.000379293 | − | 0.0229417i | ||||
\(231\) | −10.8403 | − | 22.5773i | −0.713239 | − | 1.48548i | ||||
\(232\) | 3.18522 | + | 4.60717i | 0.209120 | + | 0.302476i | ||||
\(233\) | −27.6715 | − | 11.4619i | −1.81282 | − | 0.750894i | −0.980478 | − | 0.196631i | \(-0.937000\pi\) |
−0.832341 | − | 0.554263i | \(-0.813000\pi\) | |||||||
\(234\) | 0.247363 | + | 0.0763452i | 0.0161706 | + | 0.00499084i | ||||
\(235\) | 14.2112 | + | 9.49561i | 0.927036 | + | 0.619425i | ||||
\(236\) | 18.8026 | − | 11.6834i | 1.22395 | − | 0.760526i | ||||
\(237\) | 10.8596 | + | 27.0174i | 0.705405 | + | 1.75497i | ||||
\(238\) | 14.6153 | + | 3.15919i | 0.947371 | + | 0.204780i | ||||
\(239\) | 3.95743 | − | 14.7693i | 0.255985 | − | 0.955348i | −0.711555 | − | 0.702630i | \(-0.752009\pi\) |
0.967540 | − | 0.252718i | \(-0.0813245\pi\) | |||||||
\(240\) | 6.82186 | + | 12.1272i | 0.440349 | + | 0.782809i | ||||
\(241\) | 0.611618 | + | 2.28259i | 0.0393978 | + | 0.147034i | 0.982823 | − | 0.184551i | \(-0.0590831\pi\) |
−0.943425 | + | 0.331586i | \(0.892416\pi\) | |||||||
\(242\) | 0.728812 | + | 14.8866i | 0.0468498 | + | 0.956948i | ||||
\(243\) | −12.8488 | + | 8.82664i | −0.824248 | + | 0.566229i | ||||
\(244\) | −9.62719 | − | 0.951480i | −0.616318 | − | 0.0609123i | ||||
\(245\) | 2.40469 | + | 4.87622i | 0.153630 | + | 0.311530i | ||||
\(246\) | 11.5234 | + | 8.15894i | 0.734707 | + | 0.520195i | ||||
\(247\) | 0.273451 | − | 0.0360005i | 0.0173993 | − | 0.00229066i | ||||
\(248\) | −5.19158 | − | 2.88859i | −0.329666 | − | 0.183426i | ||||
\(249\) | 6.69027 | + | 4.57278i | 0.423979 | + | 0.289788i | ||||
\(250\) | 4.65603 | − | 16.2942i | 0.294473 | − | 1.03053i | ||||
\(251\) | 7.63445 | − | 1.51859i | 0.481883 | − | 0.0958524i | 0.0518294 | − | 0.998656i | \(-0.483495\pi\) |
0.430053 | + | 0.902804i | \(0.358495\pi\) | |||||||
\(252\) | −1.01070 | + | 18.6664i | −0.0636683 | + | 1.17587i | ||||
\(253\) | −0.472774 | + | 0.315897i | −0.0297230 | + | 0.0198603i | ||||
\(254\) | −12.8383 | + | 10.8887i | −0.805544 | + | 0.683219i | ||||
\(255\) | 0.648178 | + | 11.7872i | 0.0405905 | + | 0.738140i | ||||
\(256\) | 12.6805 | + | 9.75733i | 0.792530 | + | 0.609833i | ||||
\(257\) | −0.524694 | − | 0.908797i | −0.0327295 | − | 0.0566892i | 0.849197 | − | 0.528077i | \(-0.177087\pi\) |
−0.881926 | + | 0.471388i | \(0.843753\pi\) | |||||||
\(258\) | 5.27059 | − | 17.7368i | 0.328133 | − | 1.10424i | ||||
\(259\) | −0.663115 | − | 10.1172i | −0.0412039 | − | 0.628651i | ||||
\(260\) | 0.189405 | + | 0.155548i | 0.0117464 | + | 0.00964668i | ||||
\(261\) | −5.66444 | + | 1.79089i | −0.350620 | + | 0.110853i | ||||
\(262\) | −10.3175 | + | 2.58256i | −0.637420 | + | 0.159551i | ||||
\(263\) | 18.4363 | + | 2.42719i | 1.13683 | + | 0.149667i | 0.675360 | − | 0.737488i | \(-0.263988\pi\) |
0.461472 | + | 0.887155i | \(0.347322\pi\) | |||||||
\(264\) | 9.94694 | − | 20.4449i | 0.612192 | − | 1.25830i | ||||
\(265\) | −20.2886 | + | 2.67105i | −1.24632 | + | 0.164081i | ||||
\(266\) | 7.31654 | + | 18.5240i | 0.448606 | + | 1.13578i | ||||
\(267\) | 5.39727 | − | 3.04090i | 0.330308 | − | 0.186100i | ||||
\(268\) | 12.6761 | − | 17.6768i | 0.774315 | − | 1.07978i | ||||
\(269\) | 10.3900 | + | 2.06669i | 0.633487 | + | 0.126008i | 0.501380 | − | 0.865227i | \(-0.332826\pi\) |
0.132107 | + | 0.991235i | \(0.457826\pi\) | |||||||
\(270\) | −14.4225 | + | 3.13024i | −0.877728 | + | 0.190500i | ||||
\(271\) | 20.4392 | − | 20.4392i | 1.24159 | − | 1.24159i | 0.282250 | − | 0.959341i | \(-0.408919\pi\) |
0.959341 | − | 0.282250i | \(-0.0910809\pi\) | |||||||
\(272\) | 5.99562 | + | 12.1786i | 0.363538 | + | 0.738439i | ||||
\(273\) | 0.102559 | + | 0.312899i | 0.00620713 | + | 0.0189375i | ||||
\(274\) | 16.2727 | + | 3.51743i | 0.983067 | + | 0.212496i | ||||
\(275\) | −4.24756 | + | 1.44185i | −0.256137 | + | 0.0869469i | ||||
\(276\) | 0.422792 | − | 0.0370131i | 0.0254491 | − | 0.00222793i | ||||
\(277\) | −13.9792 | + | 6.89378i | −0.839929 | + | 0.414207i | −0.810768 | − | 0.585368i | \(-0.800950\pi\) |
−0.0291609 | + | 0.999575i | \(0.509284\pi\) | |||||||
\(278\) | −0.478406 | + | 0.354685i | −0.0286929 | + | 0.0212726i | ||||
\(279\) | 4.54852 | − | 4.36113i | 0.272313 | − | 0.261094i | ||||
\(280\) | −7.57510 | + | 15.9952i | −0.452699 | + | 0.955897i | ||||
\(281\) | −0.0354504 | + | 0.269272i | −0.00211479 | + | 0.0160634i | −0.992470 | − | 0.122490i | \(-0.960912\pi\) |
0.990355 | + | 0.138554i | \(0.0442453\pi\) | |||||||
\(282\) | −9.72210 | + | 18.4399i | −0.578943 | + | 1.09808i | ||||
\(283\) | −25.1490 | + | 22.0551i | −1.49495 | + | 1.31104i | −0.676542 | + | 0.736404i | \(0.736522\pi\) |
−0.818410 | + | 0.574635i | \(0.805144\pi\) | |||||||
\(284\) | 19.5378 | − | 4.54862i | 1.15936 | − | 0.269911i | ||||
\(285\) | −12.5744 | + | 9.44030i | −0.744845 | + | 0.559195i | ||||
\(286\) | 0.0327954 | − | 0.399139i | 0.00193923 | − | 0.0236016i | ||||
\(287\) | 17.9592i | 1.06010i | ||||||||
\(288\) | −13.8487 | + | 9.80879i | −0.816045 | + | 0.577988i | ||||
\(289\) | − | 5.48332i | − | 0.322548i | ||||||
\(290\) | −5.60555 | − | 0.460582i | −0.329169 | − | 0.0270463i | ||||
\(291\) | −7.13606 | − | 3.04415i | −0.418323 | − | 0.178451i | ||||
\(292\) | −28.1308 | − | 17.5061i | −1.64623 | − | 1.02446i | ||||
\(293\) | −7.00325 | + | 6.14168i | −0.409134 | + | 0.358801i | −0.839037 | − | 0.544074i | \(-0.816881\pi\) |
0.429903 | + | 0.902875i | \(0.358548\pi\) | |||||||
\(294\) | −5.61120 | + | 3.53361i | −0.327252 | + | 0.206084i | ||||
\(295\) | −2.90151 | + | 22.0392i | −0.168933 | + | 1.28317i | ||||
\(296\) | 6.82304 | − | 6.17775i | 0.396581 | − | 0.359074i | ||||
\(297\) | 17.6204 | + | 16.4643i | 1.02244 | + | 0.955358i | ||||
\(298\) | 11.5224 | + | 15.5417i | 0.667476 | + | 0.900305i | ||||
\(299\) | 0.00670473 | − | 0.00330641i | 0.000387744 | − | 0.000191214i | ||||
\(300\) | 3.29727 | + | 0.581209i | 0.190368 | + | 0.0335561i | ||||
\(301\) | 22.2863 | − | 7.56517i | 1.28456 | − | 0.436049i | ||||
\(302\) | 2.18872 | − | 10.1257i | 0.125947 | − | 0.582666i | ||||
\(303\) | −21.3486 | − | 4.48036i | −1.22644 | − | 0.257390i | ||||
\(304\) | −9.05091 | + | 15.6522i | −0.519105 | + | 0.897715i | ||||
\(305\) | 6.86919 | − | 6.86919i | 0.393329 | − | 0.393329i | ||||
\(306\) | −14.2168 | + | 2.27663i | −0.812720 | + | 0.130146i | ||||
\(307\) | −5.04752 | − | 1.00401i | −0.288077 | − | 0.0573021i | 0.0489364 | − | 0.998802i | \(-0.484417\pi\) |
−0.337014 | + | 0.941500i | \(0.609417\pi\) | |||||||
\(308\) | 28.5347 | − | 4.70119i | 1.62592 | − | 0.267875i | ||||
\(309\) | −7.91771 | − | 4.68298i | −0.450423 | − | 0.266405i | ||||
\(310\) | 5.54876 | − | 2.19163i | 0.315148 | − | 0.124476i | ||||
\(311\) | −20.1218 | + | 2.64909i | −1.14100 | + | 0.150216i | −0.677253 | − | 0.735750i | \(-0.736830\pi\) |
−0.463750 | + | 0.885966i | \(0.653496\pi\) | |||||||
\(312\) | −0.164744 | + | 0.249431i | −0.00932680 | + | 0.0141212i | ||||
\(313\) | 14.5087 | + | 1.91010i | 0.820079 | + | 0.107965i | 0.528879 | − | 0.848697i | \(-0.322612\pi\) |
0.291199 | + | 0.956662i | \(0.405946\pi\) | |||||||
\(314\) | −4.17602 | − | 16.6836i | −0.235666 | − | 0.941508i | ||||
\(315\) | −13.8500 | − | 12.6712i | −0.780362 | − | 0.713941i | ||||
\(316\) | −33.4620 | + | 3.28431i | −1.88239 | + | 0.184757i | ||||
\(317\) | −1.28598 | − | 19.6202i | −0.0722278 | − | 1.10198i | −0.868058 | − | 0.496463i | \(-0.834632\pi\) |
0.795830 | − | 0.605520i | \(-0.207035\pi\) | |||||||
\(318\) | −5.80543 | − | 24.2740i | −0.325553 | − | 1.36122i | ||||
\(319\) | 4.59523 | + | 7.95917i | 0.257283 | + | 0.445628i | ||||
\(320\) | −15.6508 | + | 3.63253i | −0.874907 | + | 0.203065i | ||||
\(321\) | −25.2289 | − | 12.7730i | −1.40814 | − | 0.712922i | ||||
\(322\) | 0.349175 | + | 0.411692i | 0.0194587 | + | 0.0229427i | ||||
\(323\) | −12.7545 | + | 8.52230i | −0.709681 | + | 0.474194i | ||||
\(324\) | −5.62077 | − | 17.0999i | −0.312265 | − | 0.949995i | ||||
\(325\) | 0.0578414 | − | 0.0115054i | 0.00320846 | − | 0.000638203i | ||||
\(326\) | 3.45723 | + | 0.987898i | 0.191479 | + | 0.0547146i | ||||
\(327\) | −1.96795 | + | 25.8562i | −0.108828 | + | 1.42985i | ||||
\(328\) | −12.7756 | + | 10.1289i | −0.705415 | + | 0.559274i | ||||
\(329\) | −26.2880 | + | 3.46089i | −1.44931 | + | 0.190805i | ||||
\(330\) | 9.54054 | + | 20.7423i | 0.525190 | + | 1.14183i | ||||
\(331\) | −11.9320 | − | 24.1958i | −0.655844 | − | 1.32992i | −0.929760 | − | 0.368167i | \(-0.879985\pi\) |
0.273915 | − | 0.961754i | \(-0.411681\pi\) | |||||||
\(332\) | −7.23534 | + | 5.93380i | −0.397091 | + | 0.325660i | ||||
\(333\) | 4.13281 | + | 8.84467i | 0.226477 | + | 0.484685i | ||||
\(334\) | −20.3453 | + | 0.996053i | −1.11324 | + | 0.0545016i | ||||
\(335\) | 5.65337 | + | 21.0987i | 0.308877 | + | 1.15274i | ||||
\(336\) | −20.3612 | − | 7.16680i | −1.11080 | − | 0.390981i | ||||
\(337\) | 1.23082 | − | 4.59348i | 0.0670470 | − | 0.250223i | −0.924266 | − | 0.381750i | \(-0.875321\pi\) |
0.991313 | + | 0.131527i | \(0.0419881\pi\) | |||||||
\(338\) | 3.88316 | − | 17.9646i | 0.211216 | − | 0.977146i | ||||
\(339\) | 7.37271 | + | 1.04961i | 0.400430 | + | 0.0570072i | ||||
\(340\) | −13.2741 | − | 3.09981i | −0.719887 | − | 0.168111i | ||||
\(341\) | −8.10550 | − | 5.41592i | −0.438938 | − | 0.293289i | ||||
\(342\) | −13.0417 | − | 14.0602i | −0.705215 | − | 0.760287i | ||||
\(343\) | 12.3568 | + | 5.11837i | 0.667206 | + | 0.276366i | ||||
\(344\) | 17.9510 | + | 11.5870i | 0.967851 | + | 0.624731i | ||||
\(345\) | −0.240487 | + | 0.351848i | −0.0129474 | + | 0.0189428i | ||||
\(346\) | 12.5933 | + | 0.208204i | 0.677021 | + | 0.0111931i | ||||
\(347\) | 24.0002 | − | 21.0476i | 1.28840 | − | 1.12989i | 0.304240 | − | 0.952595i | \(-0.401597\pi\) |
0.984157 | − | 0.177299i | \(-0.0567359\pi\) | |||||||
\(348\) | −0.150027 | − | 6.85821i | −0.00804231 | − | 0.367639i | ||||
\(349\) | 19.4919 | − | 1.27756i | 1.04338 | − | 0.0683864i | 0.465935 | − | 0.884819i | \(-0.345718\pi\) |
0.577441 | + | 0.816433i | \(0.304052\pi\) | |||||||
\(350\) | 1.82014 | + | 3.85005i | 0.0972908 | + | 0.205794i | ||||
\(351\) | −0.201429 | − | 0.244852i | −0.0107515 | − | 0.0130692i | ||||
\(352\) | 19.4377 | + | 17.6472i | 1.03603 | + | 0.940601i | ||||
\(353\) | 12.2958 | + | 7.09901i | 0.654442 | + | 0.377842i | 0.790156 | − | 0.612906i | \(-0.210000\pi\) |
−0.135714 | + | 0.990748i | \(0.543333\pi\) | |||||||
\(354\) | −27.1021 | − | 0.733192i | −1.44046 | − | 0.0389687i | ||||
\(355\) | −8.90951 | + | 18.0667i | −0.472868 | + | 0.958881i | ||||
\(356\) | 1.62200 | + | 6.96701i | 0.0859657 | + | 0.369251i | ||||
\(357\) | −12.8127 | − | 13.0850i | −0.678119 | − | 0.692532i | ||||
\(358\) | −22.8249 | + | 12.6795i | −1.20633 | + | 0.670135i | ||||
\(359\) | 33.0614 | − | 13.6945i | 1.74491 | − | 0.722767i | 0.746565 | − | 0.665313i | \(-0.231702\pi\) |
0.998348 | − | 0.0574539i | \(-0.0182982\pi\) | |||||||
\(360\) | 1.20254 | − | 16.9990i | 0.0633792 | − | 0.895924i | ||||
\(361\) | −1.32291 | − | 0.547966i | −0.0696267 | − | 0.0288403i | ||||
\(362\) | 2.22272 | + | 19.3500i | 0.116824 | + | 1.01701i | ||||
\(363\) | 9.29279 | − | 15.7117i | 0.487745 | − | 0.824651i | ||||
\(364\) | −0.380019 | + | 0.0123120i | −0.0199184 | + | 0.000645323i | ||||
\(365\) | 31.5058 | − | 10.6948i | 1.64909 | − | 0.559791i | ||||
\(366\) | 9.20139 | + | 7.46435i | 0.480964 | + | 0.390168i | ||||
\(367\) | 26.3112 | − | 7.05007i | 1.37343 | − | 0.368011i | 0.504703 | − | 0.863293i | \(-0.331602\pi\) |
0.868732 | + | 0.495283i | \(0.164935\pi\) | |||||||
\(368\) | −0.0959317 | + | 0.480584i | −0.00500079 | + | 0.0250522i | ||||
\(369\) | −6.28020 | − | 16.1120i | −0.326934 | − | 0.838756i | ||||
\(370\) | 0.451959 | + | 9.23166i | 0.0234962 | + | 0.479931i | ||||
\(371\) | 20.9316 | − | 23.8680i | 1.08672 | − | 1.23916i | ||||
\(372\) | 3.36018 | + | 6.45398i | 0.174217 | + | 0.334623i | ||||
\(373\) | −16.4151 | − | 1.07590i | −0.849942 | − | 0.0557081i | −0.365795 | − | 0.930695i | \(-0.619203\pi\) |
−0.484146 | + | 0.874987i | \(0.660870\pi\) | |||||||
\(374\) | 8.18243 | + | 20.7163i | 0.423103 | + | 1.07121i | ||||
\(375\) | −15.7474 | + | 13.5199i | −0.813193 | + | 0.698162i | ||||
\(376\) | −17.2883 | − | 16.7486i | −0.891575 | − | 0.863741i | ||||
\(377\) | −0.0462403 | − | 0.111634i | −0.00238149 | − | 0.00574944i | ||||
\(378\) | 13.6200 | − | 18.4033i | 0.700537 | − | 0.946564i | ||||
\(379\) | −4.40044 | + | 0.875301i | −0.226035 | + | 0.0449612i | −0.306808 | − | 0.951771i | \(-0.599261\pi\) |
0.0807731 | + | 0.996733i | \(0.474261\pi\) | |||||||
\(380\) | −6.38978 | − | 16.9946i | −0.327789 | − | 0.871807i | ||||
\(381\) | 20.4682 | − | 2.47603i | 1.04862 | − | 0.126851i | ||||
\(382\) | 2.78111 | + | 15.2992i | 0.142294 | + | 0.782774i | ||||
\(383\) | −6.03912 | − | 10.4601i | −0.308585 | − | 0.534485i | 0.669468 | − | 0.742841i | \(-0.266522\pi\) |
−0.978053 | + | 0.208356i | \(0.933189\pi\) | |||||||
\(384\) | −6.38539 | − | 18.5264i | −0.325853 | − | 0.945420i | ||||
\(385\) | −14.5201 | + | 25.1495i | −0.740012 | + | 1.28174i | ||||
\(386\) | −21.5401 | − | 7.71126i | −1.09636 | − | 0.392493i | ||||
\(387\) | −17.3485 | + | 14.5804i | −0.881874 | + | 0.741163i | ||||
\(388\) | 5.68551 | − | 6.92304i | 0.288638 | − | 0.351464i | ||||
\(389\) | 9.39124 | − | 27.6657i | 0.476155 | − | 1.40271i | −0.398146 | − | 0.917322i | \(-0.630346\pi\) |
0.874301 | − | 0.485385i | \(-0.161320\pi\) | |||||||
\(390\) | −0.0887656 | − | 0.286749i | −0.00449482 | − | 0.0145201i | ||||
\(391\) | −0.253107 | + | 0.329856i | −0.0128002 | + | 0.0166815i | ||||
\(392\) | −2.09879 | − | 7.36372i | −0.106005 | − | 0.371924i | ||||
\(393\) | 12.2902 | + | 4.31660i | 0.619958 | + | 0.217744i | ||||
\(394\) | 1.18385 | − | 1.49113i | 0.0596417 | − | 0.0751219i | ||||
\(395\) | 18.7579 | − | 28.0731i | 0.943810 | − | 1.41251i | ||||
\(396\) | −23.9558 | + | 14.1960i | −1.20382 | + | 0.713377i | ||||
\(397\) | −1.56580 | − | 0.311458i | −0.0785854 | − | 0.0156316i | 0.155641 | − | 0.987814i | \(-0.450256\pi\) |
−0.234226 | + | 0.972182i | \(0.575256\pi\) | |||||||
\(398\) | −6.03835 | − | 3.10292i | −0.302675 | − | 0.155535i | ||||
\(399\) | 5.01008 | − | 23.8727i | 0.250818 | − | 1.19513i | ||||
\(400\) | −1.71226 | + | 3.46620i | −0.0856128 | + | 0.173310i | ||||
\(401\) | −8.83695 | + | 32.9799i | −0.441296 | + | 1.64694i | 0.284238 | + | 0.958754i | \(0.408259\pi\) |
−0.725534 | + | 0.688186i | \(0.758407\pi\) | |||||||
\(402\) | −24.8795 | + | 9.52564i | −1.24088 | + | 0.475096i | ||||
\(403\) | 0.0963613 | + | 0.0845066i | 0.00480010 | + | 0.00420957i | ||||
\(404\) | 11.8812 | − | 22.2100i | 0.591110 | − | 1.10499i | ||||
\(405\) | 16.8565 | + | 6.52462i | 0.837606 | + | 0.324211i | ||||
\(406\) | 7.00918 | − | 5.19652i | 0.347860 | − | 0.257899i | ||||
\(407\) | 11.9819 | − | 9.19400i | 0.593918 | − | 0.455730i | ||||
\(408\) | 2.08197 | − | 16.4944i | 0.103073 | − | 0.816595i | ||||
\(409\) | 1.33125 | + | 1.02150i | 0.0658259 | + | 0.0505100i | 0.641150 | − | 0.767415i | \(-0.278458\pi\) |
−0.575324 | + | 0.817925i | \(0.695124\pi\) | |||||||
\(410\) | 0.270637 | − | 16.3696i | 0.0133658 | − | 0.808435i | ||||
\(411\) | −14.2656 | − | 14.5688i | −0.703670 | − | 0.718626i | ||||
\(412\) | 7.75508 | − | 7.25851i | 0.382066 | − | 0.357601i | ||||
\(413\) | −19.1589 | − | 28.6734i | −0.942750 | − | 1.41092i | ||||
\(414\) | −0.457226 | − | 0.247243i | −0.0224714 | − | 0.0121513i | ||||
\(415\) | − | 9.39644i | − | 0.461253i | ||||||
\(416\) | −0.223087 | − | 0.263389i | −0.0109377 | − | 0.0129137i | ||||
\(417\) | 0.728290 | − | 0.0400488i | 0.0356645 | − | 0.00196120i | ||||
\(418\) | −16.8880 | + | 24.3919i | −0.826017 | + | 1.19305i | ||||
\(419\) | 10.7942 | − | 21.8884i | 0.527330 | − | 1.06932i | −0.456418 | − | 0.889765i | \(-0.650868\pi\) |
0.983748 | − | 0.179554i | \(-0.0574654\pi\) | |||||||
\(420\) | 18.5303 | − | 11.2459i | 0.904188 | − | 0.548744i | ||||
\(421\) | −10.0043 | − | 3.39601i | −0.487580 | − | 0.165511i | 0.0668139 | − | 0.997765i | \(-0.478717\pi\) |
−0.554394 | + | 0.832254i | \(0.687050\pi\) | |||||||
\(422\) | −18.3955 | + | 30.6793i | −0.895480 | + | 1.49345i | ||||
\(423\) | 22.3739 | − | 12.2977i | 1.08786 | − | 0.597932i | ||||
\(424\) | 28.7842 | + | 1.42870i | 1.39789 | + | 0.0693840i | ||||
\(425\) | −2.60219 | + | 1.99673i | −0.126225 | + | 0.0968555i | ||||
\(426\) | −23.0428 | − | 8.52363i | −1.11643 | − | 0.412971i | ||||
\(427\) | −0.985654 | + | 15.0382i | −0.0476992 | + | 0.727749i | ||||
\(428\) | 22.3292 | − | 23.8245i | 1.07932 | − | 1.15160i | ||||
\(429\) | −0.302667 | + | 0.385971i | −0.0146129 | + | 0.0186349i | ||||
\(430\) | −20.4276 | + | 6.55970i | −0.985108 | + | 0.316337i | ||||
\(431\) | 20.0560 | + | 20.0560i | 0.966063 | + | 0.966063i | 0.999443 | − | 0.0333796i | \(-0.0106270\pi\) |
−0.0333796 | + | 0.999443i | \(0.510627\pi\) | |||||||
\(432\) | 20.7731 | − | 0.690530i | 0.999448 | − | 0.0332232i | ||||
\(433\) | 19.1816 | − | 19.1816i | 0.921811 | − | 0.921811i | −0.0753464 | − | 0.997157i | \(-0.524006\pi\) |
0.997157 | + | 0.0753464i | \(0.0240062\pi\) | |||||||
\(434\) | −4.23008 | + | 8.23185i | −0.203051 | + | 0.395141i | ||||
\(435\) | 5.42062 | + | 4.25069i | 0.259899 | + | 0.203805i | ||||
\(436\) | −28.0198 | − | 10.5567i | −1.34191 | − | 0.505575i | ||||
\(437\) | −0.552608 | − | 0.0362198i | −0.0264348 | − | 0.00173263i | ||||
\(438\) | 16.9571 | + | 36.8668i | 0.810243 | + | 1.76157i | ||||
\(439\) | 13.5874 | + | 17.7074i | 0.648491 | + | 0.845130i | 0.995698 | − | 0.0926582i | \(-0.0295364\pi\) |
−0.347207 | + | 0.937789i | \(0.612870\pi\) | |||||||
\(440\) | −26.0798 | + | 3.85507i | −1.24331 | + | 0.183783i | ||||
\(441\) | 8.11965 | + | 0.170780i | 0.386650 | + | 0.00813239i | ||||
\(442\) | −0.0711071 | − | 0.284079i | −0.00338222 | − | 0.0135123i | ||||
\(443\) | −1.97085 | + | 5.80595i | −0.0936381 | + | 0.275849i | −0.983651 | − | 0.180087i | \(-0.942362\pi\) |
0.890013 | + | 0.455936i | \(0.150695\pi\) | |||||||
\(444\) | −11.1416 | + | 1.71549i | −0.528756 | + | 0.0814134i | ||||
\(445\) | −6.44243 | − | 3.17705i | −0.305400 | − | 0.150607i | ||||
\(446\) | 20.5652 | − | 3.73838i | 0.973792 | − | 0.177017i | ||||
\(447\) | −1.30104 | − | 23.6595i | −0.0615372 | − | 1.11906i | ||||
\(448\) | 14.5388 | − | 20.2455i | 0.686894 | − | 0.956510i | ||||
\(449\) | −25.8328 | −1.21913 | −0.609563 | − | 0.792737i | \(-0.708655\pi\) | ||||
−0.609563 | + | 0.792737i | \(0.708655\pi\) | |||||||
\(450\) | −2.97927 | − | 2.81756i | −0.140444 | − | 0.132821i | ||||
\(451\) | −22.2434 | + | 14.8625i | −1.04740 | + | 0.699850i | ||||
\(452\) | −3.55156 | + | 7.83142i | −0.167051 | + | 0.368359i | ||||
\(453\) | −9.06543 | + | 8.87677i | −0.425931 | + | 0.417067i | ||||
\(454\) | −4.34538 | + | 4.20404i | −0.203939 | + | 0.197305i | ||||
\(455\) | 0.232429 | − | 0.302907i | 0.0108964 | − | 0.0142005i | ||||
\(456\) | 19.8079 | − | 9.90006i | 0.927592 | − | 0.463613i | ||||
\(457\) | −9.73293 | − | 12.6842i | −0.455287 | − | 0.593342i | 0.508152 | − | 0.861267i | \(-0.330329\pi\) |
−0.963440 | + | 0.267925i | \(0.913662\pi\) | |||||||
\(458\) | 3.84212 | − | 25.8714i | 0.179531 | − | 1.20889i | ||||
\(459\) | 16.0706 | + | 7.25863i | 0.750109 | + | 0.338804i | ||||
\(460\) | −0.312064 | − | 0.380513i | −0.0145501 | − | 0.0177415i | ||||
\(461\) | −21.7240 | + | 24.7715i | −1.01179 | + | 1.15372i | −0.0237181 | + | 0.999719i | \(0.507550\pi\) |
−0.988070 | + | 0.154005i | \(0.950783\pi\) | |||||||
\(462\) | −32.3442 | − | 14.4342i | −1.50479 | − | 0.671539i | ||||
\(463\) | 3.91003 | + | 1.04769i | 0.181714 | + | 0.0486902i | 0.348529 | − | 0.937298i | \(-0.386681\pi\) |
−0.166814 | + | 0.985988i | \(0.553348\pi\) | |||||||
\(464\) | 7.64978 | + | 2.05529i | 0.355132 | + | 0.0954146i | ||||
\(465\) | −7.15092 | − | 1.50074i | −0.331616 | − | 0.0695951i | ||||
\(466\) | −40.3293 | + | 12.9505i | −1.86822 | + | 0.599921i | ||||
\(467\) | 4.40072 | − | 22.1239i | 0.203641 | − | 1.02377i | −0.734787 | − | 0.678298i | \(-0.762718\pi\) |
0.938428 | − | 0.345475i | \(-0.112282\pi\) | |||||||
\(468\) | 0.336626 | − | 0.143935i | 0.0155605 | − | 0.00665342i | ||||
\(469\) | −28.1749 | − | 18.8259i | −1.30100 | − | 0.869299i | ||||
\(470\) | 24.0133 | − | 2.75840i | 1.10765 | − | 0.127236i | ||||
\(471\) | −6.97999 | + | 19.8734i | −0.321621 | + | 0.915716i | ||||
\(472\) | 9.59179 | − | 29.8007i | 0.441498 | − | 1.37169i | ||||
\(473\) | 27.8134 | + | 21.3419i | 1.27886 | + | 0.981303i | ||||
\(474\) | 36.4266 | + | 19.2053i | 1.67313 | + | 0.882128i | ||||
\(475\) | −4.13695 | − | 1.40431i | −0.189816 | − | 0.0644340i | ||||
\(476\) | 18.6530 | − | 9.96211i | 0.854957 | − | 0.456613i | ||||
\(477\) | −10.4322 | + | 28.7326i | −0.477659 | + | 1.31558i | ||||
\(478\) | −9.24206 | − | 19.5492i | −0.422722 | − | 0.894162i | ||||
\(479\) | −0.666190 | − | 0.384625i | −0.0304390 | − | 0.0175740i | 0.484703 | − | 0.874679i | \(-0.338928\pi\) |
−0.515142 | + | 0.857105i | \(0.672261\pi\) | |||||||
\(480\) | 18.4510 | + | 6.83928i | 0.842169 | + | 0.312169i | ||||
\(481\) | −0.171962 | + | 0.0992821i | −0.00784078 | + | 0.00452687i | ||||
\(482\) | 2.74765 | + | 1.90236i | 0.125152 | + | 0.0866503i | ||||
\(483\) | −0.0794003 | − | 0.656365i | −0.00361284 | − | 0.0298656i | ||||
\(484\) | 14.4036 | + | 15.3890i | 0.654710 | + | 0.699500i | ||||
\(485\) | 1.75500 | + | 8.82300i | 0.0796906 | + | 0.400632i | ||||
\(486\) | −5.78359 | + | 21.2732i | −0.262349 | + | 0.964973i | ||||
\(487\) | −10.9650 | + | 4.54184i | −0.496871 | + | 0.205811i | −0.617023 | − | 0.786945i | \(-0.711662\pi\) |
0.120153 | + | 0.992755i | \(0.461662\pi\) | |||||||
\(488\) | −11.2536 | + | 7.78029i | −0.509426 | + | 0.352197i | ||||
\(489\) | −2.86859 | − | 3.34123i | −0.129722 | − | 0.151096i | ||||
\(490\) | 7.05406 | + | 3.05946i | 0.318670 | + | 0.138212i | ||||
\(491\) | −1.57342 | + | 24.0057i | −0.0710073 | + | 1.08336i | 0.802532 | + | 0.596609i | \(0.203486\pi\) |
−0.873539 | + | 0.486753i | \(0.838181\pi\) | |||||||
\(492\) | 19.8918 | − | 1.74142i | 0.896791 | − | 0.0785092i | ||||
\(493\) | 5.05258 | + | 4.43099i | 0.227557 | + | 0.199562i | ||||
\(494\) | 0.261994 | − | 0.288968i | 0.0117877 | − | 0.0130013i | ||||
\(495\) | 4.23199 | − | 27.6403i | 0.190214 | − | 1.24234i | ||||
\(496\) | −8.24162 | + | 1.63357i | −0.370060 | + | 0.0733495i | ||||
\(497\) | −8.08816 | − | 30.1854i | −0.362803 | − | 1.35400i | ||||
\(498\) | 11.3986 | − | 1.18806i | 0.510785 | − | 0.0532382i | ||||
\(499\) | −6.58045 | − | 19.3854i | −0.294582 | − | 0.867809i | −0.988958 | − | 0.148197i | \(-0.952653\pi\) |
0.694376 | − | 0.719612i | \(-0.255680\pi\) | |||||||
\(500\) | −9.88345 | − | 21.8329i | −0.442002 | − | 0.976396i | ||||
\(501\) | 21.4729 | + | 12.7003i | 0.959338 | + | 0.567407i | ||||
\(502\) | 6.84486 | − | 8.62148i | 0.305501 | − | 0.384795i | ||||
\(503\) | −4.50423 | + | 10.8742i | −0.200834 | + | 0.484856i | −0.991922 | − | 0.126846i | \(-0.959515\pi\) |
0.791089 | + | 0.611702i | \(0.209515\pi\) | |||||||
\(504\) | 15.9851 | + | 21.0569i | 0.712032 | + | 0.937948i | ||||
\(505\) | 9.67939 | + | 23.3681i | 0.430727 | + | 1.03987i | ||||
\(506\) | −0.220933 | + | 0.773175i | −0.00982168 | + | 0.0343718i | ||||
\(507\) | −16.0836 | + | 15.7489i | −0.714298 | + | 0.699432i | ||||
\(508\) | −3.88598 | + | 23.4877i | −0.172412 | + | 1.04210i | ||||
\(509\) | 12.3397 | + | 6.08529i | 0.546949 | + | 0.269726i | 0.694701 | − | 0.719299i | \(-0.255537\pi\) |
−0.147751 | + | 0.989025i | \(0.547204\pi\) | |||||||
\(510\) | 11.4814 | + | 12.1199i | 0.508405 | + | 0.536678i | ||||
\(511\) | −25.8077 | + | 44.7002i | −1.14166 | + | 1.97742i | ||||
\(512\) | 22.6018 | − | 1.07591i | 0.998869 | − | 0.0475489i | ||||
\(513\) | 3.85335 | + | 23.1692i | 0.170130 | + | 1.02295i | ||||
\(514\) | −1.39722 | − | 0.500200i | −0.0616288 | − | 0.0220629i | ||||
\(515\) | 0.697615 | + | 10.6436i | 0.0307406 | + | 0.469011i | ||||
\(516\) | −10.5402 | − | 23.9509i | −0.464009 | − | 1.05438i | ||||
\(517\) | −26.0417 | − | 29.6949i | −1.14531 | − | 1.30598i | ||||
\(518\) | −9.96989 | − | 10.3051i | −0.438052 | − | 0.452780i | ||||
\(519\) | −12.7352 | − | 8.70446i | −0.559013 | − | 0.382083i | ||||
\(520\) | 0.346567 | − | 0.00549550i | 0.0151980 | − | 0.000240994i | ||||
\(521\) | 2.05101 | − | 4.95157i | 0.0898563 | − | 0.216932i | −0.872562 | − | 0.488503i | \(-0.837543\pi\) |
0.962418 | + | 0.271571i | \(0.0875431\pi\) | |||||||
\(522\) | −4.47105 | + | 7.11309i | −0.195693 | + | 0.311331i | ||||
\(523\) | 2.55185 | − | 3.81911i | 0.111584 | − | 0.166998i | −0.771474 | − | 0.636261i | \(-0.780480\pi\) |
0.883059 | + | 0.469263i | \(0.155480\pi\) | |||||||
\(524\) | −8.76539 | + | 12.2234i | −0.382918 | + | 0.533980i | ||||
\(525\) | 0.735124 | − | 5.16366i | 0.0320834 | − | 0.225360i | ||||
\(526\) | 22.1044 | − | 14.2469i | 0.963798 | − | 0.621192i | ||||
\(527\) | −6.88538 | − | 1.84493i | −0.299932 | − | 0.0803665i | ||||
\(528\) | −7.97397 | − | 31.1495i | −0.347022 | − | 1.35561i | ||||
\(529\) | 22.2018 | − | 5.94895i | 0.965295 | − | 0.258650i | ||||
\(530\) | −19.4386 | + | 21.4399i | −0.844358 | + | 0.931289i | ||||
\(531\) | 27.2152 | + | 19.0244i | 1.18104 | + | 0.825588i | ||||
\(532\) | 24.8360 | + | 13.2859i | 1.07678 | + | 0.576017i | ||||
\(533\) | 0.315449 | − | 0.155562i | 0.0136636 | − | 0.00673814i | ||||
\(534\) | 3.03945 | − | 8.21687i | 0.131530 | − | 0.355579i | ||||
\(535\) | 4.27983 | + | 32.5086i | 0.185033 | + | 1.40547i | ||||
\(536\) | −2.49837 | − | 30.6605i | −0.107913 | − | 1.32433i | ||||
\(537\) | 31.8862 | + | 2.42690i | 1.37599 | + | 0.104728i | ||||
\(538\) | 13.0964 | − | 7.27524i | 0.564626 | − | 0.313658i | ||||
\(539\) | −2.45110 | − | 12.3225i | −0.105576 | − | 0.530768i | ||||
\(540\) | −12.6918 | + | 16.5691i | −0.546167 | + | 0.713021i | ||||
\(541\) | −10.3741 | − | 15.5259i | −0.446018 | − | 0.667513i | 0.538535 | − | 0.842603i | \(-0.318978\pi\) |
−0.984552 | + | 0.175091i | \(0.943978\pi\) | |||||||
\(542\) | 3.34750 | − | 40.7410i | 0.143788 | − | 1.74998i | ||||
\(543\) | 10.7750 | − | 21.2824i | 0.462399 | − | 0.913316i | ||||
\(544\) | 17.6069 | + | 7.65055i | 0.754890 | + | 0.328014i | ||||
\(545\) | 26.0393 | − | 15.0338i | 1.11540 | − | 0.643977i | ||||
\(546\) | 0.396838 | + | 0.243656i | 0.0169831 | + | 0.0104275i | ||||
\(547\) | 40.2470 | − | 2.63793i | 1.72084 | − | 0.112790i | 0.827294 | − | 0.561769i | \(-0.189879\pi\) |
0.893542 | + | 0.448979i | \(0.148212\pi\) | |||||||
\(548\) | 20.7681 | − | 11.0918i | 0.887171 | − | 0.473817i | ||||
\(549\) | −4.37447 | − | 13.8361i | −0.186698 | − | 0.590510i | ||||
\(550\) | −3.26218 | + | 5.44054i | −0.139100 | + | 0.231985i | ||||
\(551\) | −1.16836 | + | 8.87456i | −0.0497737 | + | 0.378069i | ||||
\(552\) | 0.422136 | − | 0.426669i | 0.0179673 | − | 0.0181602i | ||||
\(553\) | 6.83672 | + | 51.9300i | 0.290727 | + | 2.20829i | ||||
\(554\) | −8.77090 | + | 20.2227i | −0.372640 | + | 0.859178i | ||||
\(555\) | 5.76275 | − | 9.74332i | 0.244615 | − | 0.413581i | ||||
\(556\) | −0.191527 | + | 0.820161i | −0.00812255 | + | 0.0347826i | ||||
\(557\) | −7.89754 | + | 39.7036i | −0.334629 | + | 1.68230i | 0.337076 | + | 0.941477i | \(0.390562\pi\) |
−0.671706 | + | 0.740818i | \(0.734438\pi\) | |||||||
\(558\) | 0.916373 | − | 8.86438i | 0.0387932 | − | 0.375259i | ||||
\(559\) | −0.325923 | − | 0.325923i | −0.0137851 | − | 0.0137851i | ||||
\(560\) | 6.46168 | + | 24.1807i | 0.273056 | + | 1.02182i | ||||
\(561\) | 5.60301 | − | 26.6980i | 0.236559 | − | 1.12719i | ||||
\(562\) | 0.208083 | + | 0.322847i | 0.00877746 | + | 0.0136185i | ||||
\(563\) | 8.74087 | + | 25.7498i | 0.368384 | + | 1.08522i | 0.960239 | + | 0.279180i | \(0.0900625\pi\) |
−0.591855 | + | 0.806044i | \(0.701604\pi\) | |||||||
\(564\) | 6.38234 | + | 28.7813i | 0.268745 | + | 1.21191i | ||||
\(565\) | −3.81917 | − | 7.74452i | −0.160674 | − | 0.325814i | ||||
\(566\) | −6.94904 | + | 46.7922i | −0.292090 | + | 1.96682i | ||||
\(567\) | −26.3345 | + | 9.63192i | −1.10594 | + | 0.404503i | ||||
\(568\) | 16.9113 | − | 22.7781i | 0.709581 | − | 0.955747i | ||||
\(569\) | −11.0065 | − | 1.44903i | −0.461415 | − | 0.0607464i | −0.103764 | − | 0.994602i | \(-0.533089\pi\) |
−0.357650 | + | 0.933856i | \(0.616422\pi\) | |||||||
\(570\) | −4.92637 | + | 21.6841i | −0.206343 | + | 0.908248i | ||||
\(571\) | 16.4126 | + | 18.7150i | 0.686846 | + | 0.783198i | 0.985228 | − | 0.171249i | \(-0.0547803\pi\) |
−0.298382 | + | 0.954447i | \(0.596447\pi\) | |||||||
\(572\) | −0.329742 | − | 0.460483i | −0.0137872 | − | 0.0192538i | ||||
\(573\) | 7.47268 | − | 17.5174i | 0.312176 | − | 0.731798i | ||||
\(574\) | 16.4282 | + | 19.3695i | 0.685700 | + | 0.808469i | ||||
\(575\) | −0.118414 | −0.00493819 | ||||||||
\(576\) | −5.96369 | + | 23.2472i | −0.248487 | + | 0.968635i | ||||
\(577\) | −28.4246 | −1.18333 | −0.591667 | − | 0.806183i | \(-0.701530\pi\) | ||||
−0.591667 | + | 0.806183i | \(0.701530\pi\) | |||||||
\(578\) | −5.01588 | − | 5.91393i | −0.208633 | − | 0.245987i | ||||
\(579\) | 16.8232 | + | 22.4084i | 0.699148 | + | 0.931261i | ||||
\(580\) | −6.46708 | + | 4.63093i | −0.268531 | + | 0.192289i | ||||
\(581\) | 9.61130 | + | 10.9596i | 0.398744 | + | 0.454680i | ||||
\(582\) | −10.4811 | + | 3.24451i | −0.434456 | + | 0.134489i | ||||
\(583\) | 46.8841 | + | 6.17241i | 1.94174 | + | 0.255635i | ||||
\(584\) | −46.3537 | + | 6.85191i | −1.91813 | + | 0.283534i | ||||
\(585\) | −0.102598 | + | 0.353030i | −0.00424189 | + | 0.0145960i | ||||
\(586\) | −1.93510 | + | 13.0302i | −0.0799383 | + | 0.538274i | ||||
\(587\) | −12.6425 | − | 25.6364i | −0.521811 | − | 1.05813i | −0.985110 | − | 0.171926i | \(-0.945001\pi\) |
0.463299 | − | 0.886202i | \(-0.346666\pi\) | |||||||
\(588\) | −2.81947 | + | 8.94396i | −0.116273 | + | 0.368843i | ||||
\(589\) | −3.05193 | − | 8.99069i | −0.125752 | − | 0.370455i | ||||
\(590\) | 17.0310 | + | 26.4241i | 0.701156 | + | 1.08786i | ||||
\(591\) | −2.21584 | + | 0.726285i | −0.0911476 | + | 0.0298754i | ||||
\(592\) | 1.70775 | − | 12.9043i | 0.0701883 | − | 0.530363i | ||||
\(593\) | −16.8436 | − | 16.8436i | −0.691685 | − | 0.691685i | 0.270917 | − | 0.962603i | \(-0.412673\pi\) |
−0.962603 | + | 0.270917i | \(0.912673\pi\) | |||||||
\(594\) | 34.0650 | + | 1.63898i | 1.39770 | + | 0.0672480i | ||||
\(595\) | −4.14272 | + | 20.8269i | −0.169835 | + | 0.853818i | ||||
\(596\) | 26.6441 | + | 6.22202i | 1.09138 | + | 0.254864i | ||||
\(597\) | 4.08142 | + | 7.24408i | 0.167041 | + | 0.296480i | ||||
\(598\) | 0.00420671 | − | 0.00969922i | 0.000172025 | − | 0.000396631i | ||||
\(599\) | −0.192797 | − | 1.46444i | −0.00787749 | − | 0.0598354i | 0.987055 | − | 0.160384i | \(-0.0512734\pi\) |
−0.994932 | + | 0.100549i | \(0.967940\pi\) | |||||||
\(600\) | 4.08787 | − | 2.38933i | 0.166887 | − | 0.0975440i | ||||
\(601\) | 1.79561 | − | 13.6390i | 0.0732444 | − | 0.556346i | −0.914999 | − | 0.403457i | \(-0.867809\pi\) |
0.988243 | − | 0.152890i | \(-0.0488580\pi\) | |||||||
\(602\) | 17.1162 | − | 28.5457i | 0.697603 | − | 1.16343i | ||||
\(603\) | 31.8603 | + | 7.03696i | 1.29745 | + | 0.286567i | ||||
\(604\) | −6.90186 | − | 12.9230i | −0.280833 | − | 0.525828i | ||||
\(605\) | −21.1208 | + | 1.38433i | −0.858683 | + | 0.0562810i | ||||
\(606\) | −27.1235 | + | 14.6965i | −1.10182 | + | 0.597003i | ||||
\(607\) | 12.3064 | − | 7.10509i | 0.499500 | − | 0.288387i | −0.229007 | − | 0.973425i | \(-0.573548\pi\) |
0.728507 | + | 0.685038i | \(0.240215\pi\) | |||||||
\(608\) | 4.55620 | + | 25.1607i | 0.184778 | + | 1.02040i | ||||
\(609\) | −10.6703 | + | 0.586760i | −0.432381 | + | 0.0237767i | ||||
\(610\) | 1.12503 | − | 13.6922i | 0.0455511 | − | 0.554383i | ||||
\(611\) | 0.288496 | + | 0.431764i | 0.0116713 | + | 0.0174673i | ||||
\(612\) | −13.2507 | + | 15.4603i | −0.535628 | + | 0.624944i | ||||
\(613\) | 3.88413 | + | 19.5268i | 0.156878 | + | 0.788681i | 0.976457 | + | 0.215714i | \(0.0692078\pi\) |
−0.819578 | + | 0.572967i | \(0.805792\pi\) | |||||||
\(614\) | −6.36233 | + | 3.53437i | −0.256763 | + | 0.142636i | ||||
\(615\) | −11.3146 | + | 16.5540i | −0.456248 | + | 0.667521i | ||||
\(616\) | 26.4751 | − | 31.1726i | 1.06671 | − | 1.25598i | ||||
\(617\) | 0.307275 | + | 2.33398i | 0.0123704 | + | 0.0939627i | 0.996516 | − | 0.0833982i | \(-0.0265773\pi\) |
−0.984146 | + | 0.177361i | \(0.943244\pi\) | |||||||
\(618\) | −12.8233 | + | 2.19200i | −0.515827 | + | 0.0881753i | ||||
\(619\) | −4.33343 | + | 2.13701i | −0.174175 | + | 0.0858938i | −0.527286 | − | 0.849688i | \(-0.676790\pi\) |
0.353111 | + | 0.935581i | \(0.385124\pi\) | |||||||
\(620\) | 3.97971 | − | 7.43947i | 0.159829 | − | 0.298776i | ||||
\(621\) | 0.300760 | + | 0.561088i | 0.0120691 | + | 0.0225157i | ||||
\(622\) | −19.2787 | + | 21.2636i | −0.773007 | + | 0.852592i | ||||
\(623\) | 10.7639 | − | 2.88417i | 0.431245 | − | 0.115552i | ||||
\(624\) | 0.0504855 | + | 0.419718i | 0.00202104 | + | 0.0168022i | ||||
\(625\) | 18.5779 | + | 4.97794i | 0.743117 | + | 0.199118i | ||||
\(626\) | 17.3953 | − | 11.2117i | 0.695257 | − | 0.448111i | ||||
\(627\) | 33.7137 | − | 13.5512i | 1.34640 | − | 0.541181i | ||||
\(628\) | −19.7653 | − | 14.1737i | −0.788721 | − | 0.565593i | ||||
\(629\) | 6.13546 | − | 9.18236i | 0.244637 | − | 0.366125i | ||||
\(630\) | −26.5287 | − | 0.996920i | −1.05693 | − | 0.0397183i | ||||
\(631\) | −12.8387 | + | 30.9954i | −0.511102 | + | 1.23391i | 0.432141 | + | 0.901806i | \(0.357758\pi\) |
−0.943243 | + | 0.332103i | \(0.892242\pi\) | |||||||
\(632\) | −33.0855 | + | 34.1517i | −1.31607 | + | 1.35848i | ||||
\(633\) | 39.4947 | − | 18.9630i | 1.56977 | − | 0.753711i | ||||
\(634\) | −19.3346 | − | 19.9847i | −0.767876 | − | 0.793693i | ||||
\(635\) | −15.7626 | − | 17.9738i | −0.625519 | − | 0.713267i | ||||
\(636\) | −28.4660 | − | 20.8697i | −1.12875 | − | 0.827538i | ||||
\(637\) | 0.0108036 | + | 0.164831i | 0.000428053 | + | 0.00653083i | ||||
\(638\) | 12.2368 | + | 4.38072i | 0.484458 | + | 0.173434i | ||||
\(639\) | 17.8119 | + | 24.2523i | 0.704626 | + | 0.959405i | ||||
\(640\) | −13.5570 | + | 18.2344i | −0.535888 | + | 0.720778i | ||||
\(641\) | 6.23371 | − | 10.7971i | 0.246217 | − | 0.426460i | −0.716256 | − | 0.697837i | \(-0.754146\pi\) |
0.962473 | + | 0.271378i | \(0.0874792\pi\) | |||||||
\(642\) | −38.8943 | + | 9.30207i | −1.53504 | + | 0.367123i | ||||
\(643\) | −2.03061 | − | 1.00139i | −0.0800794 | − | 0.0394908i | 0.401808 | − | 0.915724i | \(-0.368382\pi\) |
−0.481887 | + | 0.876233i | \(0.660049\pi\) | |||||||
\(644\) | 0.753191 | + | 0.124614i | 0.0296799 | + | 0.00491047i | ||||
\(645\) | 25.3086 | + | 7.06747i | 0.996527 | + | 0.278281i | ||||
\(646\) | −5.96036 | + | 20.8588i | −0.234507 | + | 0.820678i | ||||
\(647\) | −10.2632 | − | 24.7776i | −0.403488 | − | 0.974107i | −0.986812 | − | 0.161868i | \(-0.948248\pi\) |
0.583324 | − | 0.812239i | \(-0.301752\pi\) | |||||||
\(648\) | −21.7044 | − | 13.3012i | −0.852628 | − | 0.522519i | ||||
\(649\) | 19.6580 | − | 47.4586i | 0.771644 | − | 1.86291i | ||||
\(650\) | 0.0518592 | − | 0.0653194i | 0.00203408 | − | 0.00256204i | ||||
\(651\) | 9.87557 | − | 5.56404i | 0.387054 | − | 0.218072i | ||||
\(652\) | 4.63242 | − | 2.09703i | 0.181419 | − | 0.0821262i | ||||
\(653\) | −9.46195 | − | 27.8740i | −0.370275 | − | 1.09079i | −0.959230 | − | 0.282628i | \(-0.908794\pi\) |
0.588955 | − | 0.808166i | \(-0.299540\pi\) | |||||||
\(654\) | 21.5295 | + | 29.6869i | 0.841871 | + | 1.16085i | ||||
\(655\) | −3.90925 | − | 14.5895i | −0.152747 | − | 0.570060i | ||||
\(656\) | −4.51346 | + | 22.6108i | −0.176221 | + | 0.882805i | ||||
\(657\) | 7.52184 | − | 49.1272i | 0.293455 | − | 1.91664i | ||||
\(658\) | −25.1866 | + | 27.7797i | −0.981876 | + | 1.08297i | ||||
\(659\) | 31.7628 | + | 27.8552i | 1.23730 | + | 1.08508i | 0.993331 | + | 0.115302i | \(0.0367835\pi\) |
0.243971 | + | 0.969783i | \(0.421550\pi\) | |||||||
\(660\) | 29.2638 | + | 13.6440i | 1.13909 | + | 0.531091i | ||||
\(661\) | −0.557823 | + | 8.51073i | −0.0216968 | + | 0.331029i | 0.973188 | + | 0.230012i | \(0.0738764\pi\) |
−0.994885 | + | 0.101017i | \(0.967790\pi\) | |||||||
\(662\) | −35.0022 | − | 15.1810i | −1.36040 | − | 0.590028i | ||||
\(663\) | −0.118852 | + | 0.338393i | −0.00461582 | + | 0.0131421i | ||||
\(664\) | −2.37558 | + | 13.0183i | −0.0921905 | + | 0.505209i | ||||
\(665\) | −26.1310 | + | 10.8238i | −1.01332 | + | 0.419729i | ||||
\(666\) | 12.5480 | + | 5.75875i | 0.486227 | + | 0.223147i | ||||
\(667\) | 0.0473318 | + | 0.237953i | 0.00183270 | + | 0.00921358i | ||||
\(668\) | −21.0318 | + | 19.6851i | −0.813746 | + | 0.761641i | ||||
\(669\) | −23.5469 | − | 10.0448i | −0.910377 | − | 0.388355i | ||||
\(670\) | 25.3974 | + | 17.5841i | 0.981186 | + | 0.679334i | ||||
\(671\) | −19.4412 | + | 11.2244i | −0.750521 | + | 0.433313i | ||||
\(672\) | −28.5161 | + | 10.8959i | −1.10003 | + | 0.420317i | ||||
\(673\) | 16.2716 | + | 9.39440i | 0.627223 | + | 0.362128i | 0.779676 | − | 0.626183i | \(-0.215384\pi\) |
−0.152453 | + | 0.988311i | \(0.548717\pi\) | |||||||
\(674\) | −2.87442 | − | 6.08011i | −0.110719 | − | 0.234197i | ||||
\(675\) | 1.14618 | + | 4.88961i | 0.0441166 | + | 0.188201i | ||||
\(676\) | −12.2451 | − | 22.9275i | −0.470964 | − | 0.881828i | ||||
\(677\) | 9.76085 | + | 3.31336i | 0.375140 | + | 0.127343i | 0.502640 | − | 0.864496i | \(-0.332362\pi\) |
−0.127500 | + | 0.991839i | \(0.540695\pi\) | |||||||
\(678\) | 8.91183 | − | 5.61216i | 0.342257 | − | 0.215534i | ||||
\(679\) | −11.0717 | − | 8.49562i | −0.424893 | − | 0.326032i | ||||
\(680\) | −17.1520 | + | 8.79924i | −0.657751 | + | 0.337435i | ||||
\(681\) | 7.27753 | − | 1.36820i | 0.278875 | − | 0.0524297i | ||||
\(682\) | −13.6963 | + | 1.57328i | −0.524457 | + | 0.0602441i | ||||
\(683\) | 35.8305 | + | 23.9412i | 1.37102 | + | 0.916083i | 0.999922 | − | 0.0125126i | \(-0.00398299\pi\) |
0.371093 | + | 0.928596i | \(0.378983\pi\) | |||||||
\(684\) | −26.9274 | − | 3.23440i | −1.02960 | − | 0.123670i | ||||
\(685\) | −4.61249 | + | 23.1885i | −0.176234 | + | 0.885989i | ||||
\(686\) | 18.0093 | − | 5.78312i | 0.687597 | − | 0.220800i | ||||
\(687\) | −21.3731 | + | 23.8605i | −0.815435 | + | 0.910336i | ||||
\(688\) | 29.9599 | − | 3.92370i | 1.14221 | − | 0.149590i | ||||
\(689\) | −0.600544 | − | 0.160915i | −0.0228789 | − | 0.00613038i | ||||
\(690\) | 0.0624812 | + | 0.599464i | 0.00237862 | + | 0.0228212i | ||||
\(691\) | 31.9842 | − | 36.4710i | 1.21674 | − | 1.38742i | 0.318494 | − | 0.947925i | \(-0.396823\pi\) |
0.898243 | − | 0.439499i | \(-0.144844\pi\) | |||||||
\(692\) | 13.7727 | − | 11.2952i | 0.523561 | − | 0.429380i | ||||
\(693\) | 23.3363 | + | 36.5672i | 0.886474 | + | 1.38907i | ||||
\(694\) | 6.63161 | − | 44.6547i | 0.251732 | − | 1.69507i | ||||
\(695\) | −0.514857 | − | 0.670975i | −0.0195296 | − | 0.0254515i | ||||
\(696\) | −6.43537 | − | 7.25955i | −0.243932 | − | 0.275173i | ||||
\(697\) | −11.9084 | + | 15.5193i | −0.451061 | + | 0.587834i | ||||
\(698\) | 19.8539 | − | 19.2081i | 0.751482 | − | 0.727037i | ||||
\(699\) | 49.9657 | + | 13.9530i | 1.88988 | + | 0.527751i | ||||
\(700\) | 5.48493 | + | 2.48742i | 0.207311 | + | 0.0940157i | ||||
\(701\) | 7.63690 | − | 5.10282i | 0.288442 | − | 0.192731i | −0.402928 | − | 0.915232i | \(-0.632008\pi\) |
0.691370 | + | 0.722501i | \(0.257008\pi\) | |||||||
\(702\) | −0.441225 | − | 0.0798228i | −0.0166530 | − | 0.00301272i | ||||
\(703\) | 14.7095 | 0.554780 | ||||||||
\(704\) | 37.1070 | + | 1.25241i | 1.39852 | + | 0.0472021i | ||||
\(705\) | −26.4115 | − | 13.3718i | −0.994716 | − | 0.503611i | ||||
\(706\) | 19.7553 | − | 3.59115i | 0.743500 | − | 0.135155i | ||||
\(707\) | −35.1921 | − | 17.3548i | −1.32353 | − | 0.652694i | ||||
\(708\) | −29.9012 | + | 24.0010i | −1.12375 | + | 0.902011i | ||||
\(709\) | 11.5260 | − | 33.9546i | 0.432869 | − | 1.27519i | −0.483671 | − | 0.875250i | \(-0.660697\pi\) |
0.916541 | − | 0.399942i | \(-0.130970\pi\) | |||||||
\(710\) | 6.91736 | + | 27.6355i | 0.259604 | + | 1.03714i | ||||
\(711\) | −24.2931 | − | 44.1979i | −0.911061 | − | 1.65755i | ||||
\(712\) | 8.12246 | + | 6.03041i | 0.304402 | + | 0.225999i | ||||
\(713\) | −0.156661 | − | 0.204165i | −0.00586701 | − | 0.00764603i | ||||
\(714\) | −25.7884 | − | 2.39216i | −0.965107 | − | 0.0895242i | ||||
\(715\) | 0.567518 | + | 0.0371971i | 0.0212240 | + | 0.00139109i | ||||
\(716\) | −13.0187 | + | 34.5544i | −0.486531 | + | 1.29136i | ||||
\(717\) | −3.73270 | + | 26.2193i | −0.139400 | + | 0.979176i | ||||
\(718\) | 23.1307 | − | 45.0129i | 0.863229 | − | 1.67987i | ||||
\(719\) | 11.9485 | − | 11.9485i | 0.445604 | − | 0.445604i | −0.448286 | − | 0.893890i | \(-0.647965\pi\) |
0.893890 | + | 0.448286i | \(0.147965\pi\) | |||||||
\(720\) | −14.2529 | − | 19.4339i | −0.531173 | − | 0.724260i | ||||
\(721\) | −11.7006 | − | 11.7006i | −0.435753 | − | 0.435753i | ||||
\(722\) | −1.92805 | + | 0.619134i | −0.0717546 | + | 0.0230418i | ||||
\(723\) | −1.52649 | − | 3.79772i | −0.0567706 | − | 0.141239i | ||||
\(724\) | 20.0977 | + | 18.8363i | 0.746925 | + | 0.700045i | ||||
\(725\) | −0.125179 | + | 1.90986i | −0.00464902 | + | 0.0709303i | ||||
\(726\) | −4.34976 | − | 25.4462i | −0.161435 | − | 0.944396i | ||||
\(727\) | −7.49405 | + | 5.75038i | −0.277939 | + | 0.213270i | −0.738319 | − | 0.674452i | \(-0.764380\pi\) |
0.460380 | + | 0.887722i | \(0.347713\pi\) | |||||||
\(728\) | −0.398599 | + | 0.360902i | −0.0147731 | + | 0.0133759i | ||||
\(729\) | 20.2576 | − | 17.8502i | 0.750281 | − | 0.661119i | ||||
\(730\) | 24.1969 | − | 40.3547i | 0.895569 | − | 1.49359i | ||||
\(731\) | 24.2748 | + | 8.24017i | 0.897835 | + | 0.304774i | ||||
\(732\) | 16.7520 | − | 0.366460i | 0.619172 | − | 0.0135448i | ||||
\(733\) | 2.27166 | − | 4.60648i | 0.0839058 | − | 0.170144i | −0.850876 | − | 0.525367i | \(-0.823928\pi\) |
0.934782 | + | 0.355222i | \(0.115595\pi\) | |||||||
\(734\) | 21.9284 | − | 31.6720i | 0.809392 | − | 1.16903i | ||||
\(735\) | −5.14919 | − | 7.88454i | −0.189931 | − | 0.290826i | ||||
\(736\) | 0.336150 | + | 0.606078i | 0.0123906 | + | 0.0223403i | ||||
\(737\) | − | 50.4759i | − | 1.85930i | ||||||
\(738\) | −21.5119 | − | 11.6324i | −0.791862 | − | 0.428196i | ||||
\(739\) | −14.8574 | − | 22.2357i | −0.546539 | − | 0.817953i | 0.450664 | − | 0.892693i | \(-0.351187\pi\) |
−0.997203 | + | 0.0747407i | \(0.976187\pi\) | |||||||
\(740\) | 8.93213 | + | 9.54320i | 0.328352 | + | 0.350815i | ||||
\(741\) | −0.462715 | + | 0.118784i | −0.0169983 | + | 0.00436363i | ||||
\(742\) | 0.742155 | − | 44.8896i | 0.0272454 | − | 1.64795i | ||||
\(743\) | −5.50002 | − | 4.22032i | −0.201776 | − | 0.154828i | 0.502931 | − | 0.864327i | \(-0.332255\pi\) |
−0.704707 | + | 0.709498i | \(0.748922\pi\) | |||||||
\(744\) | 9.52785 | + | 3.88708i | 0.349308 | + | 0.142507i | ||||
\(745\) | −21.7975 | + | 16.7258i | −0.798600 | + | 0.612788i | ||||
\(746\) | −18.6884 | + | 13.8553i | −0.684230 | + | 0.507280i | ||||
\(747\) | −12.4552 | − | 6.47132i | −0.455712 | − | 0.236773i | ||||
\(748\) | 27.7753 | + | 14.8583i | 1.01556 | + | 0.543272i | ||||
\(749\) | −38.2437 | − | 33.5388i | −1.39739 | − | 1.22548i | ||||
\(750\) | −4.61677 | + | 28.9866i | −0.168581 | + | 1.05844i | ||||
\(751\) | 0.595743 | − | 2.22334i | 0.0217390 | − | 0.0811309i | −0.954204 | − | 0.299156i | \(-0.903295\pi\) |
0.975943 | + | 0.218025i | \(0.0699615\pi\) | |||||||
\(752\) | −33.9667 | − | 2.24935i | −1.23864 | − | 0.0820253i | ||||
\(753\) | −12.8117 | + | 4.19927i | −0.466884 | + | 0.153030i | ||||
\(754\) | −0.151989 | − | 0.0781022i | −0.00553511 | − | 0.00284431i | ||||
\(755\) | 14.4291 | + | 2.87012i | 0.525128 | + | 0.104454i | ||||
\(756\) | −2.14487 | − | 32.3075i | −0.0780082 | − | 1.17501i | ||||
\(757\) | 7.94502 | − | 11.8906i | 0.288767 | − | 0.432170i | −0.658517 | − | 0.752566i | \(-0.728816\pi\) |
0.947284 | + | 0.320396i | \(0.103816\pi\) | |||||||
\(758\) | −3.94532 | + | 4.96935i | −0.143301 | + | 0.180495i | ||||
\(759\) | 0.747232 | − | 0.641531i | 0.0271228 | − | 0.0232861i | ||||
\(760\) | −22.4375 | − | 12.4842i | −0.813892 | − | 0.452849i | ||||
\(761\) | −14.1161 | + | 18.3965i | −0.511709 | + | 0.666872i | −0.975736 | − | 0.218949i | \(-0.929737\pi\) |
0.464027 | + | 0.885821i | \(0.346404\pi\) | |||||||
\(762\) | 19.8106 | − | 21.3938i | 0.717663 | − | 0.775016i | ||||
\(763\) | −14.9935 | + | 44.1695i | −0.542802 | + | 1.59904i | ||||
\(764\) | 16.9945 | + | 13.9566i | 0.614838 | + | 0.504932i | ||||
\(765\) | −3.56639 | − | 20.1334i | −0.128943 | − | 0.727923i | ||||
\(766\) | −16.0817 | − | 5.75721i | −0.581057 | − | 0.208016i | ||||
\(767\) | −0.337686 | + | 0.584890i | −0.0121931 | + | 0.0211191i | ||||
\(768\) | −23.8339 | − | 14.1402i | −0.860031 | − | 0.510241i | ||||
\(769\) | 26.2421 | + | 45.4526i | 0.946313 | + | 1.63906i | 0.753101 | + | 0.657905i | \(0.228557\pi\) |
0.193212 | + | 0.981157i | \(0.438110\pi\) | |||||||
\(770\) | 7.34522 | + | 40.4068i | 0.264703 | + | 1.45616i | ||||
\(771\) | 1.09126 | + | 1.45355i | 0.0393007 | + | 0.0523483i | ||||
\(772\) | −30.2855 | + | 11.3870i | −1.09000 | + | 0.409826i | ||||
\(773\) | −3.44793 | + | 0.685835i | −0.124013 | + | 0.0246678i | −0.256707 | − | 0.966489i | \(-0.582637\pi\) |
0.132693 | + | 0.991157i | \(0.457637\pi\) | |||||||
\(774\) | −5.37345 | + | 31.5950i | −0.193145 | + | 1.13566i | ||||
\(775\) | −0.776905 | − | 1.87562i | −0.0279073 | − | 0.0673741i | ||||
\(776\) | −0.200869 | − | 12.6675i | −0.00721077 | − | 0.454738i | ||||
\(777\) | 3.24470 | + | 17.2587i | 0.116403 | + | 0.619152i | ||||
\(778\) | −15.1785 | − | 38.4290i | −0.544176 | − | 1.37775i | ||||
\(779\) | −25.9995 | − | 1.70410i | −0.931528 | − | 0.0610556i | ||||
\(780\) | −0.358041 | − | 0.228069i | −0.0128199 | − | 0.00816618i | ||||
\(781\) | 30.6926 | − | 34.9982i | 1.09827 | − | 1.25233i | ||||
\(782\) | 0.0287522 | + | 0.587290i | 0.00102818 | + | 0.0210014i | ||||
\(783\) | 9.36756 | − | 4.25772i | 0.334769 | − | 0.152158i | ||||
\(784\) | −8.99958 | − | 6.02213i | −0.321414 | − | 0.215076i | ||||
\(785\) | 23.5914 | − | 6.32130i | 0.842013 | − | 0.225617i | ||||
\(786\) | 17.2040 | − | 6.58689i | 0.613645 | − | 0.234947i | ||||
\(787\) | −18.5895 | + | 6.31029i | −0.662645 | + | 0.224938i | −0.632444 | − | 0.774606i | \(-0.717948\pi\) |
−0.0302008 | + | 0.999544i | \(0.509615\pi\) | |||||||
\(788\) | −0.0871891 | − | 2.69116i | −0.00310598 | − | 0.0958685i | ||||
\(789\) | −32.2064 | − | 0.338660i | −1.14658 | − | 0.0120566i | ||||
\(790\) | −5.44901 | − | 47.4365i | −0.193867 | − | 1.68772i | ||||
\(791\) | 12.3761 | + | 5.12636i | 0.440044 | + | 0.182272i | ||||
\(792\) | −12.8512 | + | 37.2244i | −0.456647 | + | 1.32271i | ||||
\(793\) | 0.272679 | − | 0.112948i | 0.00968313 | − | 0.00401088i | ||||
\(794\) | −1.97367 | + | 1.09641i | −0.0700431 | + | 0.0389100i | ||||
\(795\) | 34.3310 | − | 8.81313i | 1.21760 | − | 0.312570i | ||||
\(796\) | −9.35095 | + | 2.17700i | −0.331435 | + | 0.0771618i | ||||
\(797\) | −5.34385 | + | 10.8363i | −0.189289 | + | 0.383840i | −0.970742 | − | 0.240124i | \(-0.922812\pi\) |
0.781453 | + | 0.623964i | \(0.214479\pi\) | |||||||
\(798\) | −16.4341 | − | 30.3304i | −0.581760 | − | 1.07369i | ||||
\(799\) | −25.0114 | − | 14.4403i | −0.884840 | − | 0.510862i | ||||
\(800\) | 1.32400 | + | 5.30470i | 0.0468103 | + | 0.187549i | ||||
\(801\) | −8.64815 | + | 6.35156i | −0.305567 | + | 0.224421i | ||||
\(802\) | 20.6375 | + | 43.6535i | 0.728737 | + | 1.54146i | ||||
\(803\) | −76.7211 | + | 5.02857i | −2.70743 | + | 0.177454i | ||||
\(804\) | −18.1198 | + | 33.0323i | −0.639035 | + | 1.16496i | ||||
\(805\) | −0.576375 | + | 0.505467i | −0.0203145 | + | 0.0178154i | ||||
\(806\) | 0.181231 | + | 0.00299628i | 0.00638360 | + | 0.000105539i | ||||
\(807\) | −18.2956 | − | 1.39250i | −0.644035 | − | 0.0490183i | ||||
\(808\) | −7.50247 | − | 34.8225i | −0.263936 | − | 1.22505i | ||||
\(809\) | −16.3935 | − | 6.79040i | −0.576364 | − | 0.238738i | 0.0754082 | − | 0.997153i | \(-0.475974\pi\) |
−0.651772 | + | 0.758415i | \(0.725974\pi\) | |||||||
\(810\) | 24.1487 | − | 8.38252i | 0.848498 | − | 0.294532i | ||||
\(811\) | 20.0467 | + | 13.3948i | 0.703933 | + | 0.470353i | 0.855306 | − | 0.518124i | \(-0.173369\pi\) |
−0.151372 | + | 0.988477i | \(0.548369\pi\) | |||||||
\(812\) | 2.80608 | − | 12.0163i | 0.0984742 | − | 0.421688i | ||||
\(813\) | −30.8939 | + | 39.3970i | −1.08350 | + | 1.38171i | ||||
\(814\) | 4.51257 | − | 20.8764i | 0.158165 | − | 0.731719i | ||||
\(815\) | −1.32158 | + | 4.93221i | −0.0462930 | + | 0.172768i | ||||
\(816\) | −12.8428 | − | 19.6942i | −0.449589 | − | 0.689436i | ||||
\(817\) | 8.83739 | + | 32.9816i | 0.309181 | + | 1.15388i | ||||
\(818\) | 2.37021 | − | 0.116040i | 0.0828725 | − | 0.00405723i | ||||
\(819\) | −0.241437 | − | 0.516702i | −0.00843650 | − | 0.0180550i | ||||
\(820\) | −14.6822 | − | 17.9026i | −0.512725 | − | 0.625187i | ||||
\(821\) | −11.2312 | − | 22.7746i | −0.391970 | − | 0.794838i | −1.00000 | 0.000922784i | \(-0.999706\pi\) | |
0.608029 | − | 0.793915i | \(-0.291960\pi\) | |||||||
\(822\) | −28.7127 | − | 2.66342i | −1.00147 | − | 0.0928974i | ||||
\(823\) | −1.20514 | + | 0.158659i | −0.0420084 | + | 0.00553051i | −0.151501 | − | 0.988457i | \(-0.548411\pi\) |
0.109493 | + | 0.993988i | \(0.465077\pi\) | |||||||
\(824\) | 1.72436 | − | 14.9225i | 0.0600709 | − | 0.519850i | ||||
\(825\) | 7.00382 | − | 3.36282i | 0.243842 | − | 0.117078i | ||||
\(826\) | −46.8925 | − | 13.3994i | −1.63160 | − | 0.466226i | ||||
\(827\) | 15.5205 | − | 3.08722i | 0.539700 | − | 0.107353i | 0.0822893 | − | 0.996608i | \(-0.473777\pi\) |
0.457411 | + | 0.889255i | \(0.348777\pi\) | |||||||
\(828\) | −0.719297 | + | 0.151589i | −0.0249973 | + | 0.00526809i | ||||
\(829\) | −33.1118 | + | 22.1246i | −1.15002 | + | 0.768419i | −0.976310 | − | 0.216378i | \(-0.930576\pi\) |
−0.173710 | + | 0.984797i | \(0.555576\pi\) | |||||||
\(830\) | −8.59541 | − | 10.1344i | −0.298351 | − | 0.351768i | ||||
\(831\) | 22.6035 | − | 14.7618i | 0.784106 | − | 0.512080i | ||||
\(832\) | −0.481542 | − | 0.0800044i | −0.0166945 | − | 0.00277365i | ||||
\(833\) | −4.59352 | − | 7.95621i | −0.159156 | − | 0.275666i | ||||
\(834\) | 0.748848 | − | 0.709398i | 0.0259305 | − | 0.0245645i | ||||
\(835\) | −1.89194 | − | 28.8654i | −0.0654732 | − | 0.998928i | ||||
\(836\) | 4.09833 | + | 41.7557i | 0.141744 | + | 1.44415i | ||||
\(837\) | −6.91410 | + | 8.44516i | −0.238986 | + | 0.291907i | ||||
\(838\) | −8.38063 | − | 33.4813i | −0.289504 | − | 1.15659i | ||||
\(839\) | −42.3724 | − | 5.57843i | −1.46286 | − | 0.192589i | −0.643313 | − | 0.765604i | \(-0.722440\pi\) |
−0.819545 | + | 0.573015i | \(0.805774\pi\) | |||||||
\(840\) | 9.69834 | − | 29.0797i | 0.334625 | − | 1.00335i | ||||
\(841\) | −24.8640 | + | 3.27341i | −0.857379 | + | 0.112876i | ||||
\(842\) | −13.8965 | + | 5.48877i | −0.478904 | + | 0.189155i | ||||
\(843\) | 0.00494632 | − | 0.470392i | 0.000170360 | − | 0.0162012i | ||||
\(844\) | 8.22383 | + | 49.9159i | 0.283076 | + | 1.71818i | ||||
\(845\) | 25.5996 | + | 5.09208i | 0.880653 | + | 0.175173i | ||||
\(846\) | 12.8816 | − | 33.7300i | 0.442880 | − | 1.15966i | ||||
\(847\) | 23.2184 | − | 23.2184i | 0.797793 | − | 0.797793i | ||||
\(848\) | 32.3516 | − | 24.7895i | 1.11096 | − | 0.851276i | ||||
\(849\) | 38.6564 | − | 43.1553i | 1.32668 | − | 1.48108i | ||||
\(850\) | −0.980027 | + | 4.53389i | −0.0336147 | + | 0.155511i | ||||
\(851\) | 0.377534 | − | 0.128155i | 0.0129417 | − | 0.00439311i | ||||
\(852\) | −32.6494 | + | 11.8855i | −1.11855 | + | 0.407189i | ||||
\(853\) | −24.0866 | + | 11.8782i | −0.824709 | + | 0.406702i | −0.805124 | − | 0.593107i | \(-0.797901\pi\) |
−0.0195852 | + | 0.999808i | \(0.506235\pi\) | |||||||
\(854\) | 12.6931 | + | 17.1208i | 0.434351 | + | 0.585861i | ||||
\(855\) | 19.6582 | − | 18.8483i | 0.672298 | − | 0.644599i | ||||
\(856\) | 2.28922 | − | 46.1211i | 0.0782438 | − | 1.57639i | ||||
\(857\) | −1.61432 | + | 12.2620i | −0.0551441 | + | 0.418861i | 0.941501 | + | 0.337011i | \(0.109416\pi\) |
−0.996645 | + | 0.0818497i | \(0.973917\pi\) | |||||||
\(858\) | 0.0266324 | + | 0.693147i | 0.000909214 | + | 0.0236636i | ||||
\(859\) | 7.30816 | − | 6.40908i | 0.249351 | − | 0.218675i | −0.525541 | − | 0.850768i | \(-0.676137\pi\) |
0.774893 | + | 0.632093i | \(0.217804\pi\) | |||||||
\(860\) | −16.0313 | + | 25.7611i | −0.546664 | + | 0.878445i | ||||
\(861\) | −3.73568 | − | 30.8811i | −0.127312 | − | 1.05243i | ||||
\(862\) | 39.9773 | + | 3.28475i | 1.36163 | + | 0.111879i | ||||
\(863\) | 58.4908i | 1.99105i | 0.0944983 | + | 0.995525i | \(0.469875\pi\) | ||||
−0.0944983 | + | 0.995525i | \(0.530125\pi\) | |||||||
\(864\) | 21.7728 | − | 19.7470i | 0.740726 | − | 0.671807i | ||||
\(865\) | 17.8865i | 0.608159i | ||||||||
\(866\) | 3.14155 | − | 38.2344i | 0.106754 | − | 1.29926i | ||||
\(867\) | 1.14058 | + | 9.42865i | 0.0387362 | + | 0.320214i | ||||
\(868\) | 2.96782 | + | 12.7478i | 0.100735 | + | 0.432688i | ||||
\(869\) | −58.6601 | + | 51.4435i | −1.98991 | + | 1.74510i | ||||
\(870\) | 9.73463 | − | 0.374028i | 0.330035 | − | 0.0126807i | ||||
\(871\) | −0.0866214 | + | 0.657955i | −0.00293505 | + | 0.0222940i | ||||
\(872\) | −39.8770 | + | 14.2454i | −1.35041 | + | 0.482411i | ||||
\(873\) | 12.9038 | + | 3.75009i | 0.436726 | + | 0.126921i | ||||
\(874\) | −0.629137 | + | 0.466435i | −0.0212809 | + | 0.0157774i | ||||
\(875\) | −33.4840 | + | 16.5125i | −1.13197 | + | 0.558224i | ||||
\(876\) | 52.0128 | + | 24.2505i | 1.75735 | + | 0.819347i | ||||
\(877\) | −41.4966 | + | 14.0862i | −1.40124 | + | 0.475657i | −0.916863 | − | 0.399203i | \(-0.869287\pi\) |
−0.484377 | + | 0.874859i | \(0.660954\pi\) | |||||||
\(878\) | 30.8524 | + | 6.66893i | 1.04122 | + | 0.225065i | ||||
\(879\) | 10.7647 | − | 12.0175i | 0.363083 | − | 0.405339i | ||||
\(880\) | −24.6015 | + | 28.0144i | −0.829315 | + | 0.944365i | ||||
\(881\) | −8.78148 | + | 8.78148i | −0.295856 | + | 0.295856i | −0.839388 | − | 0.543533i | \(-0.817086\pi\) |
0.543533 | + | 0.839388i | \(0.317086\pi\) | |||||||
\(882\) | 8.91352 | − | 7.24328i | 0.300134 | − | 0.243894i | ||||
\(883\) | −22.2892 | − | 4.43361i | −0.750093 | − | 0.149203i | −0.194783 | − | 0.980846i | \(-0.562400\pi\) |
−0.555310 | + | 0.831644i | \(0.687400\pi\) | |||||||
\(884\) | −0.336553 | − | 0.241343i | −0.0113195 | − | 0.00811724i | ||||
\(885\) | 0.404842 | − | 38.5003i | 0.0136086 | − | 1.29417i | ||||
\(886\) | 3.18537 | + | 8.06473i | 0.107015 | + | 0.270940i | ||||
\(887\) | 33.7711 | − | 4.44605i | 1.13392 | − | 0.149284i | 0.459883 | − | 0.887979i | \(-0.347891\pi\) |
0.674039 | + | 0.738696i | \(0.264558\pi\) | |||||||
\(888\) | −10.4473 | + | 12.0420i | −0.350588 | + | 0.404103i | ||||
\(889\) | 36.7695 | + | 4.84080i | 1.23321 | + | 0.162355i | ||||
\(890\) | −9.85457 | + | 2.46667i | −0.330326 | + | 0.0826830i | ||||
\(891\) | −33.7233 | − | 24.6455i | −1.12977 | − | 0.825654i | ||||
\(892\) | 18.7605 | − | 22.8440i | 0.628149 | − | 0.764875i | ||||
\(893\) | −2.51592 | − | 38.3855i | −0.0841920 | − | 1.28452i | ||||
\(894\) | −23.0458 | − | 24.3274i | −0.770767 | − | 0.813629i | ||||
\(895\) | −18.5399 | − | 32.1120i | −0.619719 | − | 1.07338i | ||||
\(896\) | −2.83906 | − | 35.1348i | −0.0948465 | − | 1.17377i | ||||
\(897\) | −0.0108411 | + | 0.00708006i | −0.000361974 | + | 0.000236396i | ||||
\(898\) | −27.8615 | + | 23.6306i | −0.929750 | + | 0.788564i | ||||
\(899\) | −3.45852 | + | 2.31091i | −0.115348 | + | 0.0770732i | ||||
\(900\) | −5.79060 | − | 0.313535i | −0.193020 | − | 0.0104512i | ||||
\(901\) | 33.9142 | − | 6.74595i | 1.12985 | − | 0.224740i | ||||
\(902\) | −10.3946 | + | 36.3769i | −0.346103 | + | 1.21122i | ||||
\(903\) | −36.7479 | + | 17.6442i | −1.22290 | + | 0.587161i | ||||
\(904\) | 3.33334 | + | 11.6952i | 0.110865 | + | 0.388977i | ||||
\(905\) | −27.4233 | + | 3.61035i | −0.911583 | + | 0.120012i | ||||
\(906\) | −1.65731 | + | 17.8665i | −0.0550605 | + | 0.593574i | ||||
\(907\) | −7.51888 | − | 15.2468i | −0.249660 | − | 0.506261i | 0.735580 | − | 0.677438i | \(-0.236910\pi\) |
−0.985240 | + | 0.171177i | \(0.945243\pi\) | |||||||
\(908\) | −0.840979 | + | 8.50913i | −0.0279089 | + | 0.282385i | ||||
\(909\) | 37.6412 | + | 3.26334i | 1.24848 | + | 0.108238i | ||||
\(910\) | −0.0264032 | − | 0.539309i | −0.000875259 | − | 0.0178779i | ||||
\(911\) | 4.80966 | + | 17.9499i | 0.159351 | + | 0.594707i | 0.998693 | + | 0.0511035i | \(0.0162738\pi\) |
−0.839342 | + | 0.543604i | \(0.817059\pi\) | |||||||
\(912\) | 12.3074 | − | 28.7969i | 0.407538 | − | 0.953560i | ||||
\(913\) | −5.61995 | + | 20.9739i | −0.185993 | + | 0.694136i | ||||
\(914\) | −22.1002 | − | 4.77709i | −0.731009 | − | 0.158012i | ||||
\(915\) | −10.3828 | + | 13.2405i | −0.343246 | + | 0.437719i | ||||
\(916\) | −19.5220 | − | 31.4177i | −0.645026 | − | 1.03807i | ||||
\(917\) | 19.4827 | + | 13.0179i | 0.643376 | + | 0.429890i | ||||
\(918\) | 23.9724 | − | 6.87192i | 0.791208 | − | 0.226807i | ||||
\(919\) | 10.5896 | + | 4.38636i | 0.349319 | + | 0.144693i | 0.550442 | − | 0.834873i | \(-0.314459\pi\) |
−0.201123 | + | 0.979566i | \(0.564459\pi\) | |||||||
\(920\) | −0.684646 | − | 0.124934i | −0.0225721 | − | 0.00411895i | ||||
\(921\) | 8.88813 | + | 0.676487i | 0.292874 | + | 0.0222910i | ||||
\(922\) | −0.770250 | + | 46.5889i | −0.0253668 | + | 1.53432i | ||||
\(923\) | −0.460140 | + | 0.403532i | −0.0151457 | + | 0.0132824i | ||||
\(924\) | −48.0880 | + | 14.0193i | −1.58198 | + | 0.461200i | ||||
\(925\) | 3.13849 | − | 0.205708i | 0.103193 | − | 0.00676363i | ||||
\(926\) | 5.17546 | − | 2.44674i | 0.170076 | − | 0.0804049i | ||||
\(927\) | 14.5887 | + | 6.40550i | 0.479157 | + | 0.210384i | ||||
\(928\) | 10.1306 | − | 4.78095i | 0.332554 | − | 0.156942i | ||||
\(929\) | −21.3683 | − | 12.3370i | −0.701070 | − | 0.404763i | 0.106676 | − | 0.994294i | \(-0.465979\pi\) |
−0.807746 | + | 0.589531i | \(0.799313\pi\) | |||||||
\(930\) | −9.08529 | + | 4.92273i | −0.297919 | + | 0.161423i | ||||
\(931\) | 5.41218 | − | 10.9748i | 0.177377 | − | 0.359685i | ||||
\(932\) | −31.6499 | + | 50.8589i | −1.03673 | + | 1.66594i | ||||
\(933\) | 34.0487 | − | 8.74067i | 1.11470 | − | 0.286157i | ||||
\(934\) | −15.4916 | − | 27.8869i | −0.506900 | − | 0.912487i | ||||
\(935\) | −29.2235 | + | 12.1048i | −0.955711 | + | 0.395868i | ||||
\(936\) | 0.231396 | − | 0.463168i | 0.00756342 | − | 0.0151391i | ||||
\(937\) | −31.8098 | − | 13.1761i | −1.03918 | − | 0.430443i | −0.203163 | − | 0.979145i | \(-0.565122\pi\) |
−0.836018 | + | 0.548702i | \(0.815122\pi\) | |||||||
\(938\) | −47.6086 | + | 5.46878i | −1.55448 | + | 0.178562i | ||||
\(939\) | −25.3452 | − | 0.266513i | −0.827109 | − | 0.00869732i | ||||
\(940\) | 23.3759 | − | 24.9413i | 0.762437 | − | 0.813494i | ||||
\(941\) | 21.2771 | − | 7.22260i | 0.693614 | − | 0.235450i | 0.0477014 | − | 0.998862i | \(-0.484810\pi\) |
0.645912 | + | 0.763411i | \(0.276477\pi\) | |||||||
\(942\) | 10.6511 | + | 27.8190i | 0.347030 | + | 0.906392i | ||||
\(943\) | −0.682148 | + | 0.182781i | −0.0222138 | + | 0.00595217i | ||||
\(944\) | −16.9152 | − | 40.9151i | −0.550543 | − | 1.33167i | ||||
\(945\) | 26.4511 | + | 18.9074i | 0.860454 | + | 0.615057i | ||||
\(946\) | 49.5201 | − | 2.42438i | 1.61004 | − | 0.0788235i | ||||
\(947\) | −7.71630 | + | 8.79875i | −0.250746 | + | 0.285921i | −0.863496 | − | 0.504356i | \(-0.831730\pi\) |
0.612750 | + | 0.790277i | \(0.290063\pi\) | |||||||
\(948\) | 56.8553 | − | 12.6078i | 1.84657 | − | 0.409483i | ||||
\(949\) | 1.00869 | + | 0.0661132i | 0.0327435 | + | 0.00214612i | ||||
\(950\) | −5.74642 | + | 2.26970i | −0.186439 | + | 0.0736387i | ||||
\(951\) | 6.29245 | + | 33.4698i | 0.204047 | + | 1.08533i | ||||
\(952\) | 11.0049 | − | 27.8073i | 0.356672 | − | 0.901239i | ||||
\(953\) | 19.9343 | + | 48.1257i | 0.645736 | + | 1.55894i | 0.818829 | + | 0.574038i | \(0.194624\pi\) |
−0.173093 | + | 0.984905i | \(0.555376\pi\) | |||||||
\(954\) | 15.0317 | + | 40.5319i | 0.486671 | + | 1.31227i | ||||
\(955\) | −21.6584 | + | 4.30813i | −0.700850 | + | 0.139408i | ||||
\(956\) | −27.8506 | − | 12.6303i | −0.900751 | − | 0.408492i | ||||
\(957\) | −9.55714 | − | 12.7301i | −0.308939 | − | 0.411504i | ||||
\(958\) | −1.07034 | + | 0.194569i | −0.0345812 | + | 0.00628623i | ||||
\(959\) | −18.3390 | − | 31.7640i | −0.592197 | − | 1.02571i | ||||
\(960\) | 26.1562 | − | 9.50171i | 0.844188 | − | 0.306666i | ||||
\(961\) | −13.2940 | + | 23.0258i | −0.428838 | + | 0.742769i | ||||
\(962\) | −0.0946474 | + | 0.264381i | −0.00305156 | + | 0.00852399i | ||||
\(963\) | 46.0384 | + | 16.7156i | 1.48357 | + | 0.538653i | ||||
\(964\) | 4.70362 | − | 0.461661i | 0.151493 | − | 0.0148691i | ||||
\(965\) | 10.4438 | − | 30.7663i | 0.336197 | − | 0.990403i | ||||
\(966\) | −0.686047 | − | 0.635278i | −0.0220732 | − | 0.0204397i | ||||
\(967\) | 26.0607 | − | 33.9630i | 0.838055 | − | 1.09217i | −0.156470 | − | 0.987683i | \(-0.550012\pi\) |
0.994526 | − | 0.104492i | \(-0.0333218\pi\) | |||||||
\(968\) | 29.6119 | + | 3.42178i | 0.951761 | + | 0.109980i | ||||
\(969\) | 20.1589 | − | 17.3073i | 0.647597 | − | 0.555990i | ||||
\(970\) | 9.96368 | + | 7.91049i | 0.319915 | + | 0.253990i | ||||
\(971\) | −1.53208 | + | 2.29292i | −0.0491669 | + | 0.0735834i | −0.855239 | − | 0.518234i | \(-0.826589\pi\) |
0.806072 | + | 0.591818i | \(0.201589\pi\) | |||||||
\(972\) | 13.2219 | + | 28.2344i | 0.424094 | + | 0.905618i | ||||
\(973\) | 1.28682 | + | 0.255965i | 0.0412537 | + | 0.00820587i | ||||
\(974\) | −7.67141 | + | 14.9288i | −0.245808 | + | 0.478348i | ||||
\(975\) | −0.0970659 | + | 0.0318152i | −0.00310860 | + | 0.00101890i | ||||
\(976\) | −5.02031 | + | 18.6855i | −0.160696 | + | 0.598109i | ||||
\(977\) | 6.50707 | − | 24.2847i | 0.208179 | − | 0.776936i | −0.780277 | − | 0.625434i | \(-0.784922\pi\) |
0.988457 | − | 0.151503i | \(-0.0484112\pi\) | |||||||
\(978\) | −6.15026 | − | 0.979568i | −0.196664 | − | 0.0313231i | ||||
\(979\) | 12.4801 | + | 10.9447i | 0.398864 | + | 0.349795i | ||||
\(980\) | 10.4067 | − | 3.15299i | 0.332429 | − | 0.100719i | ||||
\(981\) | −1.99441 | − | 44.8695i | −0.0636767 | − | 1.43257i | ||||
\(982\) | 20.2623 | + | 27.3302i | 0.646596 | + | 0.872141i | ||||
\(983\) | −14.7177 | + | 11.2933i | −0.469422 | + | 0.360201i | −0.816222 | − | 0.577739i | \(-0.803935\pi\) |
0.346799 | + | 0.937939i | \(0.387269\pi\) | |||||||
\(984\) | 19.8609 | − | 20.0742i | 0.633144 | − | 0.639943i | ||||
\(985\) | 2.14508 | + | 1.64598i | 0.0683480 | + | 0.0524453i | ||||
\(986\) | 9.50262 | + | 0.157106i | 0.302625 | + | 0.00500327i | ||||
\(987\) | 44.4828 | − | 11.4192i | 1.41590 | − | 0.363477i | ||||
\(988\) | 0.0182348 | − | 0.551320i | 0.000580127 | − | 0.0175398i | ||||
\(989\) | 0.514169 | + | 0.769509i | 0.0163496 | + | 0.0244690i | ||||
\(990\) | −20.7197 | − | 33.6822i | −0.658515 | − | 1.07049i | ||||
\(991\) | − | 62.0229i | − | 1.97022i | −0.171918 | − | 0.985111i | \(-0.554996\pi\) | ||
0.171918 | − | 0.985111i | \(-0.445004\pi\) | |||||||
\(992\) | −7.39453 | + | 9.30090i | −0.234777 | + | 0.295304i | ||||
\(993\) | 25.5503 | + | 39.1230i | 0.810813 | + | 1.24153i | ||||
\(994\) | −36.3355 | − | 25.1572i | −1.15249 | − | 0.797939i | ||||
\(995\) | 4.26416 | − | 8.64686i | 0.135183 | − | 0.274124i | ||||
\(996\) | 11.2070 | − | 11.7083i | 0.355107 | − | 0.370991i | ||||
\(997\) | −0.699577 | − | 0.237474i | −0.0221558 | − | 0.00752089i | 0.310340 | − | 0.950626i | \(-0.399557\pi\) |
−0.332495 | + | 0.943105i | \(0.607891\pi\) | |||||||
\(998\) | −24.8300 | − | 14.8883i | −0.785981 | − | 0.471280i | ||||
\(999\) | −8.94621 | − | 14.3489i | −0.283045 | − | 0.453979i |
(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 | 576.2.bm.a.205.74 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.53 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.53 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.74 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.53 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.53 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.74 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.74 | yes | 1504 | 576.517 | even | 48 | inner |