Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(5,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bo (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 173.54 | ||
Character | \(\chi\) | \(=\) | 336.173 |
Dual form | 336.2.bo.a.101.54 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32786 | − | 0.486611i | 0.938938 | − | 0.344086i | ||||
\(3\) | −0.388759 | − | 1.68786i | −0.224450 | − | 0.974486i | ||||
\(4\) | 1.52642 | − | 1.29230i | 0.763209 | − | 0.646151i | ||||
\(5\) | −0.224285 | − | 0.837045i | −0.100304 | − | 0.374338i | 0.897467 | − | 0.441082i | \(-0.145405\pi\) |
−0.997770 | + | 0.0667446i | \(0.978739\pi\) | |||||||
\(6\) | −1.33755 | − | 2.05206i | −0.546052 | − | 0.837751i | ||||
\(7\) | 2.27219 | − | 1.35541i | 0.858808 | − | 0.512297i | ||||
\(8\) | 1.39802 | − | 2.45877i | 0.494275 | − | 0.869306i | ||||
\(9\) | −2.69773 | + | 1.31234i | −0.899244 | + | 0.437447i | ||||
\(10\) | −0.705135 | − | 1.00234i | −0.222983 | − | 0.316967i | ||||
\(11\) | −1.49644 | + | 5.58477i | −0.451192 | + | 1.68387i | 0.247855 | + | 0.968797i | \(0.420274\pi\) |
−0.699048 | + | 0.715075i | \(0.746392\pi\) | |||||||
\(12\) | −2.77463 | − | 2.07398i | −0.800967 | − | 0.598708i | ||||
\(13\) | −0.124223 | + | 0.124223i | −0.0344532 | + | 0.0344532i | −0.724123 | − | 0.689670i | \(-0.757755\pi\) |
0.689670 | + | 0.724123i | \(0.257755\pi\) | |||||||
\(14\) | 2.35759 | − | 2.90547i | 0.630094 | − | 0.776519i | ||||
\(15\) | −1.32562 | + | 0.703971i | −0.342274 | + | 0.181764i | ||||
\(16\) | 0.659908 | − | 3.94519i | 0.164977 | − | 0.986297i | ||||
\(17\) | −1.74467 | − | 3.02186i | −0.423145 | − | 0.732908i | 0.573100 | − | 0.819485i | \(-0.305741\pi\) |
−0.996245 | + | 0.0865769i | \(0.972407\pi\) | |||||||
\(18\) | −2.94361 | + | 3.05535i | −0.693815 | + | 0.720153i | ||||
\(19\) | 0.346550 | + | 1.29334i | 0.0795039 | + | 0.296713i | 0.994217 | − | 0.107392i | \(-0.0342499\pi\) |
−0.914713 | + | 0.404104i | \(0.867583\pi\) | |||||||
\(20\) | −1.42407 | − | 0.987836i | −0.318431 | − | 0.220887i | ||||
\(21\) | −3.17108 | − | 3.30821i | −0.691986 | − | 0.721911i | ||||
\(22\) | 0.730559 | + | 8.14397i | 0.155756 | + | 1.73630i | ||||
\(23\) | −1.74815 | + | 3.02788i | −0.364514 | + | 0.631357i | −0.988698 | − | 0.149920i | \(-0.952098\pi\) |
0.624184 | + | 0.781278i | \(0.285432\pi\) | |||||||
\(24\) | −4.69355 | − | 1.40379i | −0.958066 | − | 0.286548i | ||||
\(25\) | 3.67979 | − | 2.12453i | 0.735957 | − | 0.424905i | ||||
\(26\) | −0.104502 | + | 0.225398i | −0.0204945 | + | 0.0442042i | ||||
\(27\) | 3.26381 | + | 4.04321i | 0.628121 | + | 0.778116i | ||||
\(28\) | 1.71672 | − | 5.00528i | 0.324429 | − | 0.945910i | ||||
\(29\) | 1.99563 | − | 1.99563i | 0.370579 | − | 0.370579i | −0.497109 | − | 0.867688i | \(-0.665605\pi\) |
0.867688 | + | 0.497109i | \(0.165605\pi\) | |||||||
\(30\) | −1.41768 | + | 1.57984i | −0.258831 | + | 0.288437i | ||||
\(31\) | 4.42641 | − | 2.55559i | 0.795007 | − | 0.458997i | −0.0467155 | − | 0.998908i | \(-0.514875\pi\) |
0.841722 | + | 0.539911i | \(0.181542\pi\) | |||||||
\(32\) | −1.04351 | − | 5.55977i | −0.184468 | − | 0.982839i | ||||
\(33\) | 10.0081 | + | 0.354641i | 1.74218 | + | 0.0617351i | ||||
\(34\) | −3.78715 | − | 3.16363i | −0.649490 | − | 0.542557i | ||||
\(35\) | −1.64416 | − | 1.59793i | −0.277914 | − | 0.270099i | ||||
\(36\) | −2.42193 | + | 5.48947i | −0.403655 | + | 0.914911i | ||||
\(37\) | 2.82045 | + | 10.5261i | 0.463679 | + | 1.73047i | 0.661232 | + | 0.750181i | \(0.270034\pi\) |
−0.197553 | + | 0.980292i | \(0.563299\pi\) | |||||||
\(38\) | 1.08952 | + | 1.54874i | 0.176744 | + | 0.251239i | ||||
\(39\) | 0.257963 | + | 0.161378i | 0.0413071 | + | 0.0258411i | ||||
\(40\) | −2.37165 | − | 0.618739i | −0.374992 | − | 0.0978313i | ||||
\(41\) | − | 7.85681i | − | 1.22703i | −0.789684 | − | 0.613513i | \(-0.789756\pi\) | ||
0.789684 | − | 0.613513i | \(-0.210244\pi\) | |||||||
\(42\) | −5.82056 | − | 2.84976i | −0.898131 | − | 0.439727i | ||||
\(43\) | −4.53143 | + | 4.53143i | −0.691037 | + | 0.691037i | −0.962460 | − | 0.271423i | \(-0.912506\pi\) |
0.271423 | + | 0.962460i | \(0.412506\pi\) | |||||||
\(44\) | 4.93303 | + | 10.4585i | 0.743682 | + | 1.57669i | ||||
\(45\) | 1.70355 | + | 1.96378i | 0.253950 | + | 0.292744i | ||||
\(46\) | −0.847893 | + | 4.87127i | −0.125015 | + | 0.718230i | ||||
\(47\) | −5.88144 | + | 10.1870i | −0.857897 | + | 1.48592i | 0.0160351 | + | 0.999871i | \(0.494896\pi\) |
−0.873932 | + | 0.486049i | \(0.838438\pi\) | |||||||
\(48\) | −6.91547 | + | 0.419895i | −0.998162 | + | 0.0606067i | ||||
\(49\) | 3.32573 | − | 6.15951i | 0.475104 | − | 0.879930i | ||||
\(50\) | 3.85242 | − | 4.61170i | 0.544814 | − | 0.652192i | ||||
\(51\) | −4.42221 | + | 4.11953i | −0.619234 | + | 0.576850i | ||||
\(52\) | −0.0290825 | + | 0.350149i | −0.00403302 | + | 0.0485569i | ||||
\(53\) | −1.64946 | + | 6.15586i | −0.226571 | + | 0.845573i | 0.755199 | + | 0.655496i | \(0.227540\pi\) |
−0.981769 | + | 0.190077i | \(0.939126\pi\) | |||||||
\(54\) | 6.30135 | + | 3.78060i | 0.857506 | + | 0.514475i | ||||
\(55\) | 5.01033 | 0.675593 | ||||||||
\(56\) | −0.156068 | − | 7.48169i | −0.0208555 | − | 0.999783i | ||||
\(57\) | 2.04825 | − | 1.08772i | 0.271298 | − | 0.144073i | ||||
\(58\) | 1.67882 | − | 3.62101i | 0.220440 | − | 0.475462i | ||||
\(59\) | 7.87208 | + | 2.10932i | 1.02486 | + | 0.274610i | 0.731825 | − | 0.681493i | \(-0.238669\pi\) |
0.293033 | + | 0.956102i | \(0.405336\pi\) | |||||||
\(60\) | −1.11371 | + | 2.78766i | −0.143779 | + | 0.359885i | ||||
\(61\) | 0.443640 | + | 1.65569i | 0.0568022 | + | 0.211989i | 0.988494 | − | 0.151262i | \(-0.0483336\pi\) |
−0.931692 | + | 0.363250i | \(0.881667\pi\) | |||||||
\(62\) | 4.63407 | − | 5.54740i | 0.588527 | − | 0.704521i | ||||
\(63\) | −4.35101 | + | 6.63843i | −0.548176 | + | 0.836363i | ||||
\(64\) | −4.09108 | − | 6.87481i | −0.511385 | − | 0.859352i | ||||
\(65\) | 0.131841 | + | 0.0761186i | 0.0163529 | + | 0.00944135i | ||||
\(66\) | 13.4619 | − | 4.39912i | 1.65704 | − | 0.541494i | ||||
\(67\) | 0.813578 | − | 3.03632i | 0.0993944 | − | 0.370945i | −0.898255 | − | 0.439475i | \(-0.855164\pi\) |
0.997649 | + | 0.0685304i | \(0.0218310\pi\) | |||||||
\(68\) | −6.56825 | − | 2.35798i | −0.796518 | − | 0.285947i | ||||
\(69\) | 5.79025 | + | 1.77351i | 0.697064 | + | 0.213506i | ||||
\(70\) | −2.96078 | − | 1.32176i | −0.353881 | − | 0.157980i | ||||
\(71\) | 1.67369 | 0.198631 | 0.0993154 | − | 0.995056i | \(-0.468335\pi\) | ||||
0.0993154 | + | 0.995056i | \(0.468335\pi\) | |||||||
\(72\) | −0.544744 | + | 8.46778i | −0.0641987 | + | 0.997937i | ||||
\(73\) | −5.43870 | − | 9.42010i | −0.636551 | − | 1.10254i | −0.986184 | − | 0.165652i | \(-0.947027\pi\) |
0.349633 | − | 0.936887i | \(-0.386306\pi\) | |||||||
\(74\) | 8.86726 | + | 12.6047i | 1.03080 | + | 1.46526i | ||||
\(75\) | −5.01645 | − | 5.38503i | −0.579250 | − | 0.621810i | ||||
\(76\) | 2.20037 | + | 1.52633i | 0.252399 | + | 0.175082i | ||||
\(77\) | 4.16947 | + | 14.7180i | 0.475155 | + | 1.67727i | ||||
\(78\) | 0.421066 | + | 0.0887590i | 0.0476764 | + | 0.0100500i | ||||
\(79\) | 1.17913 | − | 2.04231i | 0.132662 | − | 0.229778i | −0.792040 | − | 0.610470i | \(-0.790981\pi\) |
0.924702 | + | 0.380692i | \(0.124314\pi\) | |||||||
\(80\) | −3.45031 | + | 0.332476i | −0.385756 | + | 0.0371719i | ||||
\(81\) | 5.55553 | − | 7.08069i | 0.617281 | − | 0.786743i | ||||
\(82\) | −3.82321 | − | 10.4327i | −0.422203 | − | 1.15210i | ||||
\(83\) | −3.05874 | − | 3.05874i | −0.335740 | − | 0.335740i | 0.519021 | − | 0.854761i | \(-0.326297\pi\) |
−0.854761 | + | 0.519021i | \(0.826297\pi\) | |||||||
\(84\) | −9.11560 | − | 0.951729i | −0.994594 | − | 0.103842i | ||||
\(85\) | −2.13813 | + | 2.13813i | −0.231912 | + | 0.231912i | ||||
\(86\) | −3.81205 | + | 8.22214i | −0.411064 | + | 0.886617i | ||||
\(87\) | −4.14416 | − | 2.59252i | −0.444301 | − | 0.277948i | ||||
\(88\) | 11.6396 | + | 11.4870i | 1.24079 | + | 1.22452i | ||||
\(89\) | 6.91129 | + | 3.99023i | 0.732595 | + | 0.422964i | 0.819371 | − | 0.573264i | \(-0.194323\pi\) |
−0.0867758 | + | 0.996228i | \(0.527656\pi\) | |||||||
\(90\) | 3.21767 | + | 1.77866i | 0.339173 | + | 0.187487i | ||||
\(91\) | −0.113885 | + | 0.450630i | −0.0119384 | + | 0.0472389i | ||||
\(92\) | 1.24453 | + | 6.88095i | 0.129752 | + | 0.717389i | ||||
\(93\) | −6.03428 | − | 6.47765i | −0.625726 | − | 0.671701i | ||||
\(94\) | −2.85264 | + | 16.3888i | −0.294227 | + | 1.69038i | ||||
\(95\) | 1.00486 | − | 0.580155i | 0.103096 | − | 0.0595227i | ||||
\(96\) | −8.97844 | + | 3.92271i | −0.916358 | + | 0.400360i | ||||
\(97\) | 5.88553i | 0.597585i | 0.954318 | + | 0.298793i | \(0.0965839\pi\) | ||||
−0.954318 | + | 0.298793i | \(0.903416\pi\) | |||||||
\(98\) | 1.41881 | − | 9.79729i | 0.143321 | − | 0.989676i | ||||
\(99\) | −3.29214 | − | 17.0301i | −0.330872 | − | 1.71158i | ||||
\(100\) | 2.87137 | − | 7.99831i | 0.287137 | − | 0.799831i | ||||
\(101\) | −16.7380 | − | 4.48492i | −1.66549 | − | 0.446267i | −0.701600 | − | 0.712571i | \(-0.747531\pi\) |
−0.963889 | + | 0.266304i | \(0.914197\pi\) | |||||||
\(102\) | −3.86746 | + | 7.62206i | −0.382936 | + | 0.754696i | ||||
\(103\) | −8.51730 | + | 14.7524i | −0.839234 | + | 1.45360i | 0.0513016 | + | 0.998683i | \(0.483663\pi\) |
−0.890536 | + | 0.454913i | \(0.849670\pi\) | |||||||
\(104\) | 0.131769 | + | 0.479100i | 0.0129210 | + | 0.0469796i | ||||
\(105\) | −2.05790 | + | 3.39632i | −0.200830 | + | 0.331447i | ||||
\(106\) | 0.805265 | + | 8.97676i | 0.0782142 | + | 0.871900i | ||||
\(107\) | 0.245411 | − | 0.0657577i | 0.0237248 | − | 0.00635704i | −0.246937 | − | 0.969032i | \(-0.579424\pi\) |
0.270662 | + | 0.962674i | \(0.412757\pi\) | |||||||
\(108\) | 10.2070 | + | 1.95380i | 0.982168 | + | 0.188004i | ||||
\(109\) | 2.61921 | − | 9.77503i | 0.250875 | − | 0.936278i | −0.719464 | − | 0.694530i | \(-0.755612\pi\) |
0.970339 | − | 0.241748i | \(-0.0777209\pi\) | |||||||
\(110\) | 6.65302 | − | 2.43809i | 0.634340 | − | 0.232462i | ||||
\(111\) | 16.6700 | − | 8.85262i | 1.58225 | − | 0.840253i | ||||
\(112\) | −3.84791 | − | 9.85868i | −0.363593 | − | 0.931558i | ||||
\(113\) | 2.44101i | 0.229631i | 0.993387 | + | 0.114816i | \(0.0366277\pi\) | ||||
−0.993387 | + | 0.114816i | \(0.963372\pi\) | |||||||
\(114\) | 2.19049 | − | 2.44105i | 0.205158 | − | 0.228625i | ||||
\(115\) | 2.92656 | + | 0.784169i | 0.272903 | + | 0.0731241i | ||||
\(116\) | 0.467210 | − | 5.62513i | 0.0433793 | − | 0.522280i | ||||
\(117\) | 0.172097 | − | 0.498142i | 0.0159104 | − | 0.0460532i | ||||
\(118\) | 11.4794 | − | 1.02977i | 1.05677 | − | 0.0947978i | ||||
\(119\) | −8.06009 | − | 4.50150i | −0.738867 | − | 0.412652i | ||||
\(120\) | −0.122342 | + | 4.24356i | −0.0111683 | + | 0.387382i | ||||
\(121\) | −19.4241 | − | 11.2145i | −1.76583 | − | 1.01950i | ||||
\(122\) | 1.39477 | + | 1.98264i | 0.126276 | + | 0.179500i | ||||
\(123\) | −13.2612 | + | 3.05440i | −1.19572 | + | 0.275406i | ||||
\(124\) | 3.45396 | − | 9.62116i | 0.310175 | − | 0.864006i | ||||
\(125\) | −5.66744 | − | 5.66744i | −0.506912 | − | 0.506912i | ||||
\(126\) | −2.54720 | + | 10.9321i | −0.226922 | + | 0.973913i | ||||
\(127\) | 10.2896 | 0.913058 | 0.456529 | − | 0.889708i | \(-0.349092\pi\) | ||||
0.456529 | + | 0.889708i | \(0.349092\pi\) | |||||||
\(128\) | −8.77774 | − | 7.13801i | −0.775850 | − | 0.630917i | ||||
\(129\) | 9.41005 | + | 5.88678i | 0.828508 | + | 0.518302i | ||||
\(130\) | 0.212107 | + | 0.0369193i | 0.0186030 | + | 0.00323804i | ||||
\(131\) | −11.0289 | + | 2.95518i | −0.963597 | + | 0.258195i | −0.706122 | − | 0.708090i | \(-0.749557\pi\) |
−0.257475 | + | 0.966285i | \(0.582890\pi\) | |||||||
\(132\) | 15.7348 | − | 12.3921i | 1.36954 | − | 1.07859i | ||||
\(133\) | 2.54043 | + | 2.46900i | 0.220284 | + | 0.214090i | ||||
\(134\) | −0.397188 | − | 4.42769i | −0.0343119 | − | 0.382495i | ||||
\(135\) | 2.65232 | − | 3.63879i | 0.228275 | − | 0.313177i | ||||
\(136\) | −9.86913 | + | 0.0651232i | −0.846271 | + | 0.00558427i | ||||
\(137\) | −5.13667 | − | 8.89697i | −0.438855 | − | 0.760119i | 0.558746 | − | 0.829339i | \(-0.311283\pi\) |
−0.997601 | + | 0.0692192i | \(0.977949\pi\) | |||||||
\(138\) | 8.55164 | − | 0.462626i | 0.727964 | − | 0.0393814i | ||||
\(139\) | −4.79178 | − | 4.79178i | −0.406434 | − | 0.406434i | 0.474059 | − | 0.880493i | \(-0.342788\pi\) |
−0.880493 | + | 0.474059i | \(0.842788\pi\) | |||||||
\(140\) | −4.57468 | − | 0.314358i | −0.386631 | − | 0.0265681i | ||||
\(141\) | 19.4806 | + | 5.96677i | 1.64056 | + | 0.502493i | ||||
\(142\) | 2.22243 | − | 0.814438i | 0.186502 | − | 0.0683461i | ||||
\(143\) | −0.507864 | − | 0.879646i | −0.0424697 | − | 0.0735597i | ||||
\(144\) | 3.39717 | + | 11.5091i | 0.283098 | + | 0.959091i | ||||
\(145\) | −2.11802 | − | 1.22284i | −0.175892 | − | 0.101551i | ||||
\(146\) | −11.8057 | − | 9.86203i | −0.977050 | − | 0.816187i | ||||
\(147\) | −11.6893 | − | 3.21879i | −0.964116 | − | 0.265481i | ||||
\(148\) | 17.9080 | + | 12.4223i | 1.47203 | + | 1.02111i | ||||
\(149\) | 1.58785 | − | 0.425463i | 0.130082 | − | 0.0348553i | −0.193191 | − | 0.981161i | \(-0.561884\pi\) |
0.323272 | + | 0.946306i | \(0.395217\pi\) | |||||||
\(150\) | −9.28155 | − | 4.70950i | −0.757836 | − | 0.384529i | ||||
\(151\) | −3.54744 | + | 2.04811i | −0.288686 | + | 0.166673i | −0.637349 | − | 0.770575i | \(-0.719969\pi\) |
0.348663 | + | 0.937248i | \(0.386636\pi\) | |||||||
\(152\) | 3.66451 | + | 0.956031i | 0.297231 | + | 0.0775443i | ||||
\(153\) | 8.67236 | + | 5.86257i | 0.701119 | + | 0.473960i | ||||
\(154\) | 12.6984 | + | 17.5145i | 1.02327 | + | 1.41136i | ||||
\(155\) | −3.13192 | − | 3.13192i | −0.251562 | − | 0.251562i | ||||
\(156\) | 0.602308 | − | 0.0870363i | 0.0482232 | − | 0.00696848i | ||||
\(157\) | −2.18986 | − | 0.586771i | −0.174770 | − | 0.0468295i | 0.170373 | − | 0.985380i | \(-0.445503\pi\) |
−0.345143 | + | 0.938550i | \(0.612169\pi\) | |||||||
\(158\) | 0.571905 | − | 3.28568i | 0.0454983 | − | 0.261395i | ||||
\(159\) | 11.0315 | + | 0.390906i | 0.874852 | + | 0.0310009i | ||||
\(160\) | −4.41974 | + | 2.12044i | −0.349411 | + | 0.167636i | ||||
\(161\) | 0.131891 | + | 9.24939i | 0.0103945 | + | 0.728954i | ||||
\(162\) | 3.93141 | − | 12.1055i | 0.308881 | − | 0.951101i | ||||
\(163\) | −19.3957 | + | 5.19707i | −1.51919 | + | 0.407066i | −0.919475 | − | 0.393149i | \(-0.871386\pi\) |
−0.599714 | + | 0.800214i | \(0.704719\pi\) | |||||||
\(164\) | −10.1534 | − | 11.9928i | −0.792845 | − | 0.936478i | ||||
\(165\) | −1.94781 | − | 8.45673i | −0.151637 | − | 0.658356i | ||||
\(166\) | −5.54999 | − | 2.57316i | −0.430763 | − | 0.199716i | ||||
\(167\) | 7.00150i | 0.541792i | 0.962609 | + | 0.270896i | \(0.0873200\pi\) | ||||
−0.962609 | + | 0.270896i | \(0.912680\pi\) | |||||||
\(168\) | −12.5674 | + | 3.17199i | −0.969593 | + | 0.244725i | ||||
\(169\) | 12.9691i | 0.997626i | ||||||||
\(170\) | −1.79869 | + | 3.87957i | −0.137954 | + | 0.297549i | ||||
\(171\) | −2.63220 | − | 3.03430i | −0.201289 | − | 0.232038i | ||||
\(172\) | −1.06088 | + | 12.7728i | −0.0808914 | + | 0.973920i | ||||
\(173\) | −0.119913 | + | 0.0321306i | −0.00911682 | + | 0.00244285i | −0.263375 | − | 0.964694i | \(-0.584836\pi\) |
0.254258 | + | 0.967136i | \(0.418169\pi\) | |||||||
\(174\) | −6.76441 | − | 1.42591i | −0.512809 | − | 0.108098i | ||||
\(175\) | 5.48158 | − | 9.81495i | 0.414369 | − | 0.741941i | ||||
\(176\) | 21.0455 | + | 9.58916i | 1.58636 | + | 0.722810i | ||||
\(177\) | 0.499888 | − | 14.1070i | 0.0375739 | − | 1.06034i | ||||
\(178\) | 11.1189 | + | 1.93536i | 0.833397 | + | 0.145061i | ||||
\(179\) | 16.9948 | + | 4.55374i | 1.27025 | + | 0.340362i | 0.830127 | − | 0.557575i | \(-0.188268\pi\) |
0.440123 | + | 0.897937i | \(0.354935\pi\) | |||||||
\(180\) | 5.13813 | + | 0.796056i | 0.382974 | + | 0.0593345i | ||||
\(181\) | −9.08621 | − | 9.08621i | −0.675372 | − | 0.675372i | 0.283577 | − | 0.958949i | \(-0.408479\pi\) |
−0.958949 | + | 0.283577i | \(0.908479\pi\) | |||||||
\(182\) | 0.0680584 | + | 0.653791i | 0.00504482 | + | 0.0484622i | ||||
\(183\) | 2.62210 | − | 1.39246i | 0.193831 | − | 0.102934i | ||||
\(184\) | 5.00092 | + | 8.53133i | 0.368672 | + | 0.628938i | ||||
\(185\) | 8.17820 | − | 4.72169i | 0.601273 | − | 0.347145i | ||||
\(186\) | −11.1648 | − | 5.66505i | −0.818640 | − | 0.415382i | ||||
\(187\) | 19.4872 | − | 5.22157i | 1.42504 | − | 0.381839i | ||||
\(188\) | 4.18709 | + | 23.1502i | 0.305375 | + | 1.68840i | ||||
\(189\) | 12.8962 | + | 4.76315i | 0.938062 | + | 0.346468i | ||||
\(190\) | 1.05200 | − | 1.25934i | 0.0763201 | − | 0.0913621i | ||||
\(191\) | −12.6628 | − | 7.31086i | −0.916247 | − | 0.528996i | −0.0338112 | − | 0.999428i | \(-0.510765\pi\) |
−0.882436 | + | 0.470433i | \(0.844098\pi\) | |||||||
\(192\) | −10.0133 | + | 9.57781i | −0.722645 | + | 0.691219i | ||||
\(193\) | −4.14094 | − | 7.17232i | −0.298071 | − | 0.516275i | 0.677623 | − | 0.735409i | \(-0.263010\pi\) |
−0.975695 | + | 0.219135i | \(0.929677\pi\) | |||||||
\(194\) | 2.86397 | + | 7.81516i | 0.205621 | + | 0.561095i | ||||
\(195\) | 0.0772229 | − | 0.252121i | 0.00553005 | − | 0.0180548i | ||||
\(196\) | −2.88350 | − | 13.6998i | −0.205964 | − | 0.978560i | ||||
\(197\) | 0.174426 | + | 0.174426i | 0.0124273 | + | 0.0124273i | 0.713293 | − | 0.700866i | \(-0.247203\pi\) |
−0.700866 | + | 0.713293i | \(0.747203\pi\) | |||||||
\(198\) | −12.6585 | − | 21.0115i | −0.899601 | − | 1.49322i | ||||
\(199\) | 7.78849 | + | 13.4901i | 0.552111 | + | 0.956285i | 0.998122 | + | 0.0612574i | \(0.0195111\pi\) |
−0.446011 | + | 0.895028i | \(0.647156\pi\) | |||||||
\(200\) | −0.0793021 | − | 12.0179i | −0.00560750 | − | 0.849792i | ||||
\(201\) | −5.44116 | − | 0.192810i | −0.383790 | − | 0.0135998i | ||||
\(202\) | −24.4081 | + | 2.18954i | −1.71735 | + | 0.154055i | ||||
\(203\) | 1.82956 | − | 7.23936i | 0.128410 | − | 0.508103i | ||||
\(204\) | −1.42647 | + | 12.0030i | −0.0998727 | + | 0.840376i | ||||
\(205\) | −6.57650 | + | 1.76217i | −0.459323 | + | 0.123075i | ||||
\(206\) | −4.13109 | + | 23.7337i | −0.287827 | + | 1.65361i | ||||
\(207\) | 0.742427 | − | 10.4626i | 0.0516023 | − | 0.727200i | ||||
\(208\) | 0.408106 | + | 0.572057i | 0.0282971 | + | 0.0396650i | ||||
\(209\) | −7.74160 | −0.535498 | ||||||||
\(210\) | −1.07991 | + | 5.51123i | −0.0745209 | + | 0.380311i | ||||
\(211\) | −10.3013 | − | 10.3013i | −0.709167 | − | 0.709167i | 0.257193 | − | 0.966360i | \(-0.417202\pi\) |
−0.966360 | + | 0.257193i | \(0.917202\pi\) | |||||||
\(212\) | 5.43747 | + | 11.5280i | 0.373447 | + | 0.791748i | ||||
\(213\) | −0.650663 | − | 2.82496i | −0.0445827 | − | 0.193563i | ||||
\(214\) | 0.293873 | − | 0.206737i | 0.0200887 | − | 0.0141322i | ||||
\(215\) | 4.80934 | + | 2.77668i | 0.327995 | + | 0.189368i | ||||
\(216\) | 14.5042 | − | 2.37247i | 0.986885 | − | 0.161426i | ||||
\(217\) | 6.59379 | − | 11.8064i | 0.447616 | − | 0.801470i | ||||
\(218\) | −1.27870 | − | 14.2544i | −0.0866043 | − | 0.965430i | ||||
\(219\) | −13.7854 | + | 12.8419i | −0.931534 | + | 0.867775i | ||||
\(220\) | 7.64787 | − | 6.47487i | 0.515619 | − | 0.436535i | ||||
\(221\) | 0.592111 | + | 0.158656i | 0.0398297 | + | 0.0106723i | ||||
\(222\) | 17.8277 | − | 19.8669i | 1.19651 | − | 1.33338i | ||||
\(223\) | − | 13.9846i | − | 0.936476i | −0.883602 | − | 0.468238i | \(-0.844889\pi\) | ||
0.883602 | − | 0.468238i | \(-0.155111\pi\) | |||||||
\(224\) | −9.90683 | − | 11.2185i | −0.661928 | − | 0.749568i | ||||
\(225\) | −7.13898 | + | 10.5605i | −0.475932 | + | 0.704036i | ||||
\(226\) | 1.18782 | + | 3.24132i | 0.0790129 | + | 0.215609i | ||||
\(227\) | 4.86517 | − | 18.1571i | 0.322913 | − | 1.20513i | −0.593480 | − | 0.804849i | \(-0.702246\pi\) |
0.916393 | − | 0.400279i | \(-0.131087\pi\) | |||||||
\(228\) | 1.72082 | − | 4.30728i | 0.113964 | − | 0.285257i | ||||
\(229\) | −16.9205 | + | 4.53383i | −1.11814 | + | 0.299604i | −0.770130 | − | 0.637888i | \(-0.779808\pi\) |
−0.348008 | + | 0.937492i | \(0.613142\pi\) | |||||||
\(230\) | 4.26764 | − | 0.382831i | 0.281400 | − | 0.0252431i | ||||
\(231\) | 23.2209 | − | 12.7592i | 1.52782 | − | 0.839494i | ||||
\(232\) | −2.11686 | − | 7.69673i | −0.138979 | − | 0.505315i | ||||
\(233\) | 11.9486 | − | 20.6956i | 0.782780 | − | 1.35581i | −0.147537 | − | 0.989057i | \(-0.547135\pi\) |
0.930317 | − | 0.366757i | \(-0.119532\pi\) | |||||||
\(234\) | −0.0138807 | − | 0.745206i | −0.000907412 | − | 0.0487157i | ||||
\(235\) | 9.84606 | + | 2.63824i | 0.642286 | + | 0.172100i | ||||
\(236\) | 14.7420 | − | 6.95341i | 0.959620 | − | 0.452628i | ||||
\(237\) | −3.90553 | − | 1.19624i | −0.253691 | − | 0.0777039i | ||||
\(238\) | −12.8931 | − | 2.05523i | −0.835738 | − | 0.133221i | ||||
\(239\) | 4.58228i | 0.296403i | 0.988957 | + | 0.148202i | \(0.0473484\pi\) | ||||
−0.988957 | + | 0.148202i | \(0.952652\pi\) | |||||||
\(240\) | 1.90251 | + | 5.69438i | 0.122807 | + | 0.367571i | ||||
\(241\) | −25.5960 | + | 14.7779i | −1.64879 | + | 0.951927i | −0.671230 | + | 0.741249i | \(0.734234\pi\) |
−0.977555 | + | 0.210678i | \(0.932433\pi\) | |||||||
\(242\) | −31.2495 | − | 5.43929i | −2.00880 | − | 0.349651i | ||||
\(243\) | −14.1110 | − | 6.62426i | −0.905218 | − | 0.424947i | ||||
\(244\) | 2.81683 | + | 1.95395i | 0.180329 | + | 0.125089i | ||||
\(245\) | −5.90170 | − | 1.40229i | −0.377046 | − | 0.0895892i | ||||
\(246\) | −16.1227 | + | 10.5089i | −1.02794 | + | 0.670020i | ||||
\(247\) | −0.203711 | − | 0.117613i | −0.0129618 | − | 0.00748353i | ||||
\(248\) | −0.0953924 | − | 14.4563i | −0.00605742 | − | 0.917975i | ||||
\(249\) | −3.97361 | + | 6.35183i | −0.251817 | + | 0.402531i | ||||
\(250\) | −10.2834 | − | 4.76772i | −0.650380 | − | 0.301537i | ||||
\(251\) | 14.9573 | − | 14.9573i | 0.944098 | − | 0.944098i | −0.0544206 | − | 0.998518i | \(-0.517331\pi\) |
0.998518 | + | 0.0544206i | \(0.0173312\pi\) | |||||||
\(252\) | 1.93739 | + | 15.7558i | 0.122044 | + | 0.992525i | ||||
\(253\) | −14.2940 | − | 14.2940i | −0.898659 | − | 0.898659i | ||||
\(254\) | 13.6632 | − | 5.00706i | 0.857305 | − | 0.314171i | ||||
\(255\) | 4.44007 | + | 2.77764i | 0.278048 | + | 0.173943i | ||||
\(256\) | −15.1290 | − | 5.20693i | −0.945565 | − | 0.325433i | ||||
\(257\) | −0.412351 | + | 0.714213i | −0.0257218 | + | 0.0445514i | −0.878600 | − | 0.477559i | \(-0.841522\pi\) |
0.852878 | + | 0.522110i | \(0.174855\pi\) | |||||||
\(258\) | 15.3598 | + | 3.23778i | 0.956259 | + | 0.201575i | ||||
\(259\) | 20.6757 | + | 20.0944i | 1.28473 | + | 1.24860i | ||||
\(260\) | 0.299613 | − | 0.0541899i | 0.0185812 | − | 0.00336072i | ||||
\(261\) | −2.76473 | + | 8.00263i | −0.171133 | + | 0.495350i | ||||
\(262\) | −13.2068 | + | 9.29083i | −0.815917 | + | 0.573990i | ||||
\(263\) | 8.55527 | + | 14.8182i | 0.527540 | + | 0.913727i | 0.999485 | + | 0.0320983i | \(0.0102190\pi\) |
−0.471944 | + | 0.881628i | \(0.656448\pi\) | |||||||
\(264\) | 14.8634 | − | 24.1117i | 0.914782 | − | 1.48397i | ||||
\(265\) | 5.52268 | 0.339256 | ||||||||
\(266\) | 4.57478 | + | 2.04228i | 0.280498 | + | 0.125220i | ||||
\(267\) | 4.04813 | − | 13.2165i | 0.247741 | − | 0.808838i | ||||
\(268\) | −2.68198 | − | 5.68608i | −0.163828 | − | 0.347332i | ||||
\(269\) | −5.04909 | + | 18.8435i | −0.307848 | + | 1.14891i | 0.622617 | + | 0.782526i | \(0.286069\pi\) |
−0.930466 | + | 0.366379i | \(0.880597\pi\) | |||||||
\(270\) | 1.75123 | − | 6.12245i | 0.106577 | − | 0.372600i | ||||
\(271\) | 23.2129 | + | 13.4020i | 1.41008 | + | 0.814111i | 0.995395 | − | 0.0958531i | \(-0.0305579\pi\) |
0.414687 | + | 0.909964i | \(0.363891\pi\) | |||||||
\(272\) | −13.0731 | + | 4.88891i | −0.792675 | + | 0.296434i | ||||
\(273\) | 0.804874 | + | 0.0170355i | 0.0487132 | + | 0.00103104i | ||||
\(274\) | −11.1501 | − | 9.31436i | −0.673604 | − | 0.562701i | ||||
\(275\) | 6.35843 | + | 23.7300i | 0.383428 | + | 1.43097i | ||||
\(276\) | 11.1303 | − | 4.77563i | 0.669963 | − | 0.287459i | ||||
\(277\) | 14.8501 | + | 3.97908i | 0.892259 | + | 0.239080i | 0.675689 | − | 0.737187i | \(-0.263846\pi\) |
0.216570 | + | 0.976267i | \(0.430513\pi\) | |||||||
\(278\) | −8.69455 | − | 4.03108i | −0.521464 | − | 0.241768i | ||||
\(279\) | −8.58747 | + | 12.7033i | −0.514118 | + | 0.760524i | ||||
\(280\) | −6.22750 | + | 1.80867i | −0.372165 | + | 0.108089i | ||||
\(281\) | 9.55555 | 0.570036 | 0.285018 | − | 0.958522i | \(-0.408000\pi\) | ||||
0.285018 | + | 0.958522i | \(0.408000\pi\) | |||||||
\(282\) | 28.7710 | − | 1.55645i | 1.71329 | − | 0.0926854i | ||||
\(283\) | −6.16214 | + | 22.9974i | −0.366301 | + | 1.36705i | 0.499347 | + | 0.866402i | \(0.333573\pi\) |
−0.865648 | + | 0.500652i | \(0.833094\pi\) | |||||||
\(284\) | 2.55476 | − | 2.16292i | 0.151597 | − | 0.128346i | ||||
\(285\) | −1.36987 | − | 1.47052i | −0.0811439 | − | 0.0871060i | ||||
\(286\) | −1.10242 | − | 0.920914i | −0.0651873 | − | 0.0544548i | ||||
\(287\) | −10.6492 | − | 17.8522i | −0.628602 | − | 1.05378i | ||||
\(288\) | 10.1114 | + | 13.6293i | 0.595821 | + | 0.803117i | ||||
\(289\) | 2.41225 | − | 4.17814i | 0.141897 | − | 0.245773i | ||||
\(290\) | −3.40749 | − | 0.593107i | −0.200094 | − | 0.0348284i | ||||
\(291\) | 9.93394 | − | 2.28805i | 0.582338 | − | 0.134128i | ||||
\(292\) | −20.4753 | − | 7.35057i | −1.19823 | − | 0.430160i | ||||
\(293\) | 3.12364 | − | 3.12364i | 0.182485 | − | 0.182485i | −0.609953 | − | 0.792438i | \(-0.708812\pi\) |
0.792438 | + | 0.609953i | \(0.208812\pi\) | |||||||
\(294\) | −17.0880 | + | 1.41404i | −0.996594 | + | 0.0824684i | ||||
\(295\) | − | 7.06237i | − | 0.411187i | ||||||
\(296\) | 29.8242 | + | 7.78081i | 1.73350 | + | 0.452250i | ||||
\(297\) | −27.4645 | + | 12.1772i | −1.59365 | + | 0.706596i | ||||
\(298\) | 1.90140 | − | 1.33762i | 0.110145 | − | 0.0774862i | ||||
\(299\) | −0.158972 | − | 0.593291i | −0.00919358 | − | 0.0343109i | ||||
\(300\) | −14.6163 | − | 1.73704i | −0.843872 | − | 0.100288i | ||||
\(301\) | −4.15434 | + | 16.4382i | −0.239452 | + | 0.947484i | ||||
\(302\) | −3.71386 | + | 4.44583i | −0.213709 | + | 0.255829i | ||||
\(303\) | −1.06288 | + | 29.9949i | −0.0610611 | + | 1.72316i | ||||
\(304\) | 5.33116 | − | 0.513717i | 0.305763 | − | 0.0294637i | ||||
\(305\) | 1.28638 | − | 0.742693i | 0.0736580 | − | 0.0425265i | ||||
\(306\) | 14.3685 | + | 3.56459i | 0.821390 | + | 0.203774i | ||||
\(307\) | −4.51853 | + | 4.51853i | −0.257886 | + | 0.257886i | −0.824194 | − | 0.566308i | \(-0.808371\pi\) |
0.566308 | + | 0.824194i | \(0.308371\pi\) | |||||||
\(308\) | 25.3844 | + | 17.0776i | 1.44641 | + | 0.973085i | ||||
\(309\) | 28.2111 | + | 8.64087i | 1.60487 | + | 0.491562i | ||||
\(310\) | −5.68278 | − | 2.63472i | −0.322760 | − | 0.149642i | ||||
\(311\) | 11.9241 | − | 6.88436i | 0.676152 | − | 0.390377i | −0.122252 | − | 0.992499i | \(-0.539012\pi\) |
0.798404 | + | 0.602123i | \(0.205678\pi\) | |||||||
\(312\) | 0.757427 | − | 0.408662i | 0.0428809 | − | 0.0231359i | ||||
\(313\) | −4.80811 | + | 8.32789i | −0.271770 | + | 0.470720i | −0.969315 | − | 0.245821i | \(-0.920942\pi\) |
0.697545 | + | 0.716541i | \(0.254276\pi\) | |||||||
\(314\) | −3.19336 | + | 0.286461i | −0.180212 | + | 0.0161660i | ||||
\(315\) | 6.53253 | + | 2.15309i | 0.368066 | + | 0.121313i | ||||
\(316\) | −0.839439 | − | 4.64121i | −0.0472222 | − | 0.261089i | ||||
\(317\) | 3.68996 | + | 13.7711i | 0.207249 | + | 0.773464i | 0.988752 | + | 0.149563i | \(0.0477866\pi\) |
−0.781503 | + | 0.623901i | \(0.785547\pi\) | |||||||
\(318\) | 14.8385 | − | 4.84897i | 0.832099 | − | 0.271917i | ||||
\(319\) | 8.15881 | + | 14.1315i | 0.456806 | + | 0.791211i | ||||
\(320\) | −4.83696 | + | 4.96634i | −0.270394 | + | 0.277627i | ||||
\(321\) | −0.206395 | − | 0.388655i | −0.0115199 | − | 0.0216926i | ||||
\(322\) | 4.67599 | + | 12.2177i | 0.260583 | + | 0.680866i | ||||
\(323\) | 3.30368 | − | 3.30368i | 0.183822 | − | 0.183822i | ||||
\(324\) | −0.670328 | − | 17.9875i | −0.0372405 | − | 0.999306i | ||||
\(325\) | −0.193199 | + | 0.721027i | −0.0107167 | + | 0.0399954i | ||||
\(326\) | −23.2258 | + | 16.3391i | −1.28636 | + | 0.904941i | ||||
\(327\) | −17.5171 | − | 0.620728i | −0.968698 | − | 0.0343264i | ||||
\(328\) | −19.3181 | − | 10.9840i | −1.06666 | − | 0.606488i | ||||
\(329\) | 0.443731 | + | 31.1185i | 0.0244637 | + | 1.71562i | ||||
\(330\) | −6.70156 | − | 10.2815i | −0.368909 | − | 0.565979i | ||||
\(331\) | −9.31527 | − | 34.7651i | −0.512014 | − | 1.91086i | −0.398011 | − | 0.917380i | \(-0.630300\pi\) |
−0.114002 | − | 0.993480i | \(-0.536367\pi\) | |||||||
\(332\) | −8.62173 | − | 0.716101i | −0.473179 | − | 0.0393011i | ||||
\(333\) | −21.4226 | − | 24.6951i | −1.17395 | − | 1.35328i | ||||
\(334\) | 3.40701 | + | 9.29700i | 0.186423 | + | 0.508709i | ||||
\(335\) | −2.72401 | −0.148828 | ||||||||
\(336\) | −15.1441 | + | 10.3274i | −0.826181 | + | 0.563405i | ||||
\(337\) | −7.79829 | −0.424800 | −0.212400 | − | 0.977183i | \(-0.568128\pi\) | ||||
−0.212400 | + | 0.977183i | \(0.568128\pi\) | |||||||
\(338\) | 6.31093 | + | 17.2212i | 0.343269 | + | 0.936709i | ||||
\(339\) | 4.12008 | − | 0.948965i | 0.223772 | − | 0.0515407i | ||||
\(340\) | −0.500570 | + | 6.02678i | −0.0271472 | + | 0.326848i | ||||
\(341\) | 7.64855 | + | 28.5448i | 0.414192 | + | 1.54579i | ||||
\(342\) | −4.97171 | − | 2.74826i | −0.268840 | − | 0.148609i | ||||
\(343\) | −0.791968 | − | 18.5033i | −0.0427622 | − | 0.999085i | ||||
\(344\) | 4.80671 | + | 17.4768i | 0.259160 | + | 0.942284i | ||||
\(345\) | 0.185841 | − | 5.24447i | 0.0100053 | − | 0.282353i | ||||
\(346\) | −0.143593 | + | 0.101016i | −0.00771958 | + | 0.00543065i | ||||
\(347\) | 4.08389 | − | 15.2413i | 0.219235 | − | 0.818196i | −0.765398 | − | 0.643557i | \(-0.777458\pi\) |
0.984633 | − | 0.174638i | \(-0.0558756\pi\) | |||||||
\(348\) | −9.67605 | + | 1.39823i | −0.518691 | + | 0.0749532i | ||||
\(349\) | 7.97573 | − | 7.97573i | 0.426931 | − | 0.426931i | −0.460651 | − | 0.887582i | \(-0.652384\pi\) |
0.887582 | + | 0.460651i | \(0.152384\pi\) | |||||||
\(350\) | 2.50270 | − | 15.7003i | 0.133775 | − | 0.839215i | ||||
\(351\) | −0.907697 | − | 0.0968186i | −0.0484493 | − | 0.00516779i | ||||
\(352\) | 32.6116 | + | 2.49208i | 1.73820 | + | 0.132828i | ||||
\(353\) | 8.92287 | + | 15.4549i | 0.474917 | + | 0.822580i | 0.999587 | − | 0.0287256i | \(-0.00914491\pi\) |
−0.524671 | + | 0.851305i | \(0.675812\pi\) | |||||||
\(354\) | −6.20083 | − | 18.9753i | −0.329571 | − | 1.00853i | ||||
\(355\) | −0.375385 | − | 1.40096i | −0.0199234 | − | 0.0743550i | ||||
\(356\) | 15.7061 | − | 2.84071i | 0.832422 | − | 0.150557i | ||||
\(357\) | −4.46447 | + | 15.3543i | −0.236285 | + | 0.812635i | ||||
\(358\) | 24.7826 | − | 2.22313i | 1.30980 | − | 0.117496i | ||||
\(359\) | 8.36824 | − | 14.4942i | 0.441659 | − | 0.764976i | −0.556154 | − | 0.831079i | \(-0.687723\pi\) |
0.997813 | + | 0.0661035i | \(0.0210568\pi\) | |||||||
\(360\) | 7.21009 | − | 1.44322i | 0.380005 | − | 0.0760646i | ||||
\(361\) | 14.9018 | − | 8.60359i | 0.784308 | − | 0.452820i | ||||
\(362\) | −16.4867 | − | 7.64375i | −0.866519 | − | 0.401747i | ||||
\(363\) | −11.3772 | + | 37.1448i | −0.597148 | + | 1.94960i | ||||
\(364\) | 0.408514 | + | 0.835025i | 0.0214120 | + | 0.0437672i | ||||
\(365\) | −6.66522 | + | 6.66522i | −0.348874 | + | 0.348874i | ||||
\(366\) | 2.80418 | − | 3.12494i | 0.146577 | − | 0.163343i | ||||
\(367\) | −26.4671 | + | 15.2808i | −1.38157 | + | 0.797651i | −0.992346 | − | 0.123492i | \(-0.960591\pi\) |
−0.389226 | + | 0.921142i | \(0.627257\pi\) | |||||||
\(368\) | 10.7920 | + | 8.89491i | 0.562569 | + | 0.463679i | ||||
\(369\) | 10.3108 | + | 21.1956i | 0.536759 | + | 1.10340i | ||||
\(370\) | 8.56187 | − | 10.2493i | 0.445110 | − | 0.532838i | ||||
\(371\) | 4.59583 | + | 16.2230i | 0.238604 | + | 0.842256i | ||||
\(372\) | −17.5819 | − | 2.08949i | −0.911580 | − | 0.108335i | ||||
\(373\) | 8.51467 | + | 31.7772i | 0.440873 | + | 1.64536i | 0.726609 | + | 0.687051i | \(0.241095\pi\) |
−0.285736 | + | 0.958308i | \(0.592238\pi\) | |||||||
\(374\) | 23.3353 | − | 16.4162i | 1.20664 | − | 0.848861i | ||||
\(375\) | −7.36257 | + | 11.7691i | −0.380202 | + | 0.607754i | ||||
\(376\) | 16.8250 | + | 28.7027i | 0.867683 | + | 1.48023i | ||||
\(377\) | 0.495805i | 0.0255353i | ||||||||
\(378\) | 19.4422 | + | 0.0493396i | 0.999997 | + | 0.00253776i | ||||
\(379\) | −5.96162 | + | 5.96162i | −0.306228 | + | 0.306228i | −0.843444 | − | 0.537217i | \(-0.819476\pi\) |
0.537217 | + | 0.843444i | \(0.319476\pi\) | |||||||
\(380\) | 0.784098 | − | 2.18414i | 0.0402234 | − | 0.112044i | ||||
\(381\) | −4.00019 | − | 17.3675i | −0.204936 | − | 0.889762i | ||||
\(382\) | −20.3719 | − | 3.54594i | −1.04232 | − | 0.181426i | ||||
\(383\) | 10.9394 | − | 18.9475i | 0.558975 | − | 0.968173i | −0.438608 | − | 0.898679i | \(-0.644528\pi\) |
0.997582 | − | 0.0694940i | \(-0.0221385\pi\) | |||||||
\(384\) | −8.63553 | + | 17.5906i | −0.440680 | + | 0.897664i | ||||
\(385\) | 11.3844 | − | 6.79106i | 0.580205 | − | 0.346104i | ||||
\(386\) | −8.98871 | − | 7.50880i | −0.457513 | − | 0.382188i | ||||
\(387\) | 6.27781 | − | 18.1714i | 0.319119 | − | 0.923702i | ||||
\(388\) | 7.60589 | + | 8.98379i | 0.386130 | + | 0.456083i | ||||
\(389\) | 1.03982 | − | 3.88066i | 0.0527210 | − | 0.196757i | −0.934542 | − | 0.355852i | \(-0.884191\pi\) |
0.987263 | + | 0.159094i | \(0.0508574\pi\) | |||||||
\(390\) | −0.0201438 | − | 0.372359i | −0.00102002 | − | 0.0188551i | ||||
\(391\) | 12.1998 | 0.616969 | ||||||||
\(392\) | −10.4954 | − | 16.7883i | −0.530096 | − | 0.847937i | ||||
\(393\) | 9.27549 | + | 17.4663i | 0.467887 | + | 0.881059i | ||||
\(394\) | 0.316491 | + | 0.146735i | 0.0159446 | + | 0.00739243i | ||||
\(395\) | −1.97397 | − | 0.528923i | −0.0993211 | − | 0.0266130i | ||||
\(396\) | −27.0332 | − | 21.7406i | −1.35847 | − | 1.09250i | ||||
\(397\) | 2.77995 | + | 10.3749i | 0.139522 | + | 0.520702i | 0.999938 | + | 0.0111107i | \(0.00353672\pi\) |
−0.860417 | + | 0.509591i | \(0.829797\pi\) | |||||||
\(398\) | 16.9064 | + | 14.1229i | 0.847443 | + | 0.707919i | ||||
\(399\) | 3.17971 | − | 5.24774i | 0.159185 | − | 0.262716i | ||||
\(400\) | −5.95334 | − | 15.9194i | −0.297667 | − | 0.795972i | ||||
\(401\) | −18.5751 | − | 10.7243i | −0.927596 | − | 0.535548i | −0.0415458 | − | 0.999137i | \(-0.513228\pi\) |
−0.886051 | + | 0.463589i | \(0.846562\pi\) | |||||||
\(402\) | −7.31891 | + | 2.39170i | −0.365034 | + | 0.119287i | ||||
\(403\) | −0.232398 | + | 0.867322i | −0.0115766 | + | 0.0432044i | ||||
\(404\) | −31.3450 | + | 14.7846i | −1.55947 | + | 0.735563i | ||||
\(405\) | −7.17288 | − | 3.06213i | −0.356423 | − | 0.152158i | ||||
\(406\) | −1.09336 | − | 10.5031i | −0.0542623 | − | 0.521262i | ||||
\(407\) | −63.0063 | −3.12310 | ||||||||
\(408\) | 3.94663 | + | 16.6324i | 0.195387 | + | 0.823426i | ||||
\(409\) | −2.15950 | − | 3.74037i | −0.106780 | − | 0.184949i | 0.807684 | − | 0.589616i | \(-0.200721\pi\) |
−0.914464 | + | 0.404667i | \(0.867388\pi\) | |||||||
\(410\) | −7.87517 | + | 5.54011i | −0.388927 | + | 0.273606i | ||||
\(411\) | −13.0199 | + | 12.1287i | −0.642224 | + | 0.598267i | ||||
\(412\) | 6.06359 | + | 33.5253i | 0.298732 | + | 1.65167i | ||||
\(413\) | 20.7459 | − | 5.87712i | 1.02084 | − | 0.289194i | ||||
\(414\) | −4.10537 | − | 14.2541i | −0.201768 | − | 0.700551i | ||||
\(415\) | −1.87427 | + | 3.24633i | −0.0920043 | + | 0.159356i | ||||
\(416\) | 0.820277 | + | 0.561022i | 0.0402174 | + | 0.0275064i | ||||
\(417\) | −6.22500 | + | 9.95070i | −0.304840 | + | 0.487288i | ||||
\(418\) | −10.2798 | + | 3.76715i | −0.502799 | + | 0.184257i | ||||
\(419\) | −1.00684 | − | 1.00684i | −0.0491873 | − | 0.0491873i | 0.682085 | − | 0.731273i | \(-0.261073\pi\) |
−0.731273 | + | 0.682085i | \(0.761073\pi\) | |||||||
\(420\) | 1.24786 | + | 7.84363i | 0.0608892 | + | 0.382730i | ||||
\(421\) | 20.5242 | − | 20.5242i | 1.00029 | − | 1.00029i | 0.000289208 | − | 1.00000i | \(-0.499908\pi\) |
1.00000 | 0.000289208i | \(-9.20576e-5\pi\) | ||||||||
\(422\) | −18.6913 | − | 8.66590i | −0.909879 | − | 0.421850i | ||||
\(423\) | 2.49781 | − | 35.2001i | 0.121448 | − | 1.71149i | ||||
\(424\) | 12.8299 | + | 12.6617i | 0.623073 | + | 0.614904i | ||||
\(425\) | −12.8400 | − | 7.41320i | −0.622833 | − | 0.359593i | ||||
\(426\) | −2.23864 | − | 3.43452i | −0.108463 | − | 0.166403i | ||||
\(427\) | 3.25217 | + | 3.16073i | 0.157383 | + | 0.152958i | ||||
\(428\) | 0.289621 | − | 0.417519i | 0.0139994 | − | 0.0201815i | ||||
\(429\) | −1.28728 | + | 1.19917i | −0.0621505 | + | 0.0578966i | ||||
\(430\) | 7.73729 | + | 1.34675i | 0.373125 | + | 0.0649462i | ||||
\(431\) | −0.524890 | + | 0.303045i | −0.0252830 | + | 0.0145972i | −0.512588 | − | 0.858635i | \(-0.671313\pi\) |
0.487305 | + | 0.873232i | \(0.337980\pi\) | |||||||
\(432\) | 18.1050 | − | 10.2082i | 0.871079 | − | 0.491143i | ||||
\(433\) | 7.72438i | 0.371210i | 0.982624 | + | 0.185605i | \(0.0594245\pi\) | ||||
−0.982624 | + | 0.185605i | \(0.940576\pi\) | |||||||
\(434\) | 3.01050 | − | 18.8858i | 0.144508 | − | 0.906549i | ||||
\(435\) | −1.24058 | + | 4.05032i | −0.0594814 | + | 0.194198i | ||||
\(436\) | −8.63428 | − | 18.3056i | −0.413507 | − | 0.876679i | ||||
\(437\) | −4.52190 | − | 1.21164i | −0.216312 | − | 0.0579606i | ||||
\(438\) | −12.0561 | + | 23.7604i | −0.576064 | + | 1.13531i | ||||
\(439\) | 5.76099 | − | 9.97833i | 0.274957 | − | 0.476240i | −0.695167 | − | 0.718848i | \(-0.744670\pi\) |
0.970124 | + | 0.242608i | \(0.0780030\pi\) | |||||||
\(440\) | 7.00454 | − | 12.3192i | 0.333929 | − | 0.587297i | ||||
\(441\) | −0.888551 | + | 20.9812i | −0.0423120 | + | 0.999104i | ||||
\(442\) | 0.863443 | − | 0.0774556i | 0.0410698 | − | 0.00368419i | ||||
\(443\) | 16.7142 | − | 4.47856i | 0.794117 | − | 0.212783i | 0.161118 | − | 0.986935i | \(-0.448490\pi\) |
0.632999 | + | 0.774152i | \(0.281824\pi\) | |||||||
\(444\) | 14.0052 | − | 35.0555i | 0.664656 | − | 1.66366i | ||||
\(445\) | 1.78990 | − | 6.68001i | 0.0848495 | − | 0.316663i | ||||
\(446\) | −6.80505 | − | 18.5695i | −0.322229 | − | 0.879293i | ||||
\(447\) | −1.33541 | − | 2.51466i | −0.0631628 | − | 0.118939i | ||||
\(448\) | −18.6139 | − | 10.0758i | −0.879425 | − | 0.476037i | ||||
\(449\) | − | 26.5522i | − | 1.25308i | −0.779391 | − | 0.626538i | \(-0.784471\pi\) | ||
0.779391 | − | 0.626538i | \(-0.215529\pi\) | |||||||
\(450\) | −4.34068 | + | 17.4968i | −0.204622 | + | 0.824808i | ||||
\(451\) | 43.8785 | + | 11.7572i | 2.06616 | + | 0.553625i | ||||
\(452\) | 3.15453 | + | 3.72601i | 0.148376 | + | 0.175257i | ||||
\(453\) | 4.83602 | + | 5.19135i | 0.227216 | + | 0.243911i | ||||
\(454\) | −2.37518 | − | 26.4775i | −0.111473 | − | 1.24265i | ||||
\(455\) | 0.402741 | − | 0.00574284i | 0.0188808 | − | 0.000269228i | ||||
\(456\) | 0.189034 | − | 6.55684i | 0.00885235 | − | 0.307052i | ||||
\(457\) | 25.4158 | + | 14.6738i | 1.18890 | + | 0.686412i | 0.958057 | − | 0.286578i | \(-0.0925179\pi\) |
0.230844 | + | 0.972991i | \(0.425851\pi\) | |||||||
\(458\) | −20.2618 | + | 14.2540i | −0.946772 | + | 0.666045i | ||||
\(459\) | 6.52372 | − | 16.9168i | 0.304501 | − | 0.789611i | ||||
\(460\) | 5.48054 | − | 2.58503i | 0.255531 | − | 0.120528i | ||||
\(461\) | −3.69072 | − | 3.69072i | −0.171894 | − | 0.171894i | 0.615917 | − | 0.787811i | \(-0.288786\pi\) |
−0.787811 | + | 0.615917i | \(0.788786\pi\) | |||||||
\(462\) | 24.6253 | − | 28.2420i | 1.14567 | − | 1.31394i | ||||
\(463\) | −2.26837 | −0.105420 | −0.0527101 | − | 0.998610i | \(-0.516786\pi\) | ||||
−0.0527101 | + | 0.998610i | \(0.516786\pi\) | |||||||
\(464\) | −6.55621 | − | 9.19008i | −0.304364 | − | 0.426639i | ||||
\(465\) | −4.06868 | + | 6.50380i | −0.188680 | + | 0.301607i | ||||
\(466\) | 5.79536 | − | 33.2952i | 0.268465 | − | 1.54237i | ||||
\(467\) | 3.20011 | − | 0.857468i | 0.148084 | − | 0.0396789i | −0.184016 | − | 0.982923i | \(-0.558910\pi\) |
0.332099 | + | 0.943244i | \(0.392243\pi\) | |||||||
\(468\) | −0.381058 | − | 0.982774i | −0.0176144 | − | 0.0454288i | ||||
\(469\) | −2.26685 | − | 8.00183i | −0.104673 | − | 0.369490i | ||||
\(470\) | 14.3580 | − | 1.28799i | 0.662284 | − | 0.0594105i | ||||
\(471\) | −0.139059 | + | 3.92429i | −0.00640751 | + | 0.180822i | ||||
\(472\) | 16.1916 | − | 16.4068i | 0.745281 | − | 0.755182i | ||||
\(473\) | −18.5260 | − | 32.0880i | −0.851827 | − | 1.47541i | ||||
\(474\) | −5.76809 | + | 0.312042i | −0.264937 | + | 0.0143326i | ||||
\(475\) | 4.02296 | + | 4.02296i | 0.184586 | + | 0.184586i | ||||
\(476\) | −18.1204 | + | 3.54489i | −0.830546 | + | 0.162480i | ||||
\(477\) | −3.62879 | − | 18.7715i | −0.166151 | − | 0.859489i | ||||
\(478\) | 2.22979 | + | 6.08462i | 0.101988 | + | 0.278304i | ||||
\(479\) | −10.9507 | − | 18.9672i | −0.500352 | − | 0.866635i | −1.00000 | 0.000406431i | \(-0.999871\pi\) | |
0.499648 | − | 0.866229i | \(-0.333463\pi\) | |||||||
\(480\) | 5.29722 | + | 6.63555i | 0.241784 | + | 0.302870i | ||||
\(481\) | −1.65794 | − | 0.957211i | −0.0755955 | − | 0.0436451i | ||||
\(482\) | −26.7968 | + | 32.0783i | −1.22056 | + | 1.46112i | ||||
\(483\) | 15.5604 | − | 3.81840i | 0.708023 | − | 0.173743i | ||||
\(484\) | −44.1418 | + | 7.98377i | −2.00645 | + | 0.362899i | ||||
\(485\) | 4.92645 | − | 1.32004i | 0.223699 | − | 0.0599399i | ||||
\(486\) | −21.9608 | − | 1.92954i | −0.996162 | − | 0.0875255i | ||||
\(487\) | −1.78081 | + | 1.02815i | −0.0806960 | + | 0.0465899i | −0.539805 | − | 0.841790i | \(-0.681502\pi\) |
0.459109 | + | 0.888380i | \(0.348169\pi\) | |||||||
\(488\) | 4.69117 | + | 1.22387i | 0.212359 | + | 0.0554022i | ||||
\(489\) | 16.3122 | + | 30.7168i | 0.737662 | + | 1.38906i | ||||
\(490\) | −8.51899 | + | 1.00978i | −0.384849 | + | 0.0456174i | ||||
\(491\) | −12.7157 | − | 12.7157i | −0.573852 | − | 0.573852i | 0.359351 | − | 0.933203i | \(-0.382998\pi\) |
−0.933203 | + | 0.359351i | \(0.882998\pi\) | |||||||
\(492\) | −16.2949 | + | 21.7998i | −0.734631 | + | 0.982809i | ||||
\(493\) | −9.51223 | − | 2.54880i | −0.428409 | − | 0.114792i | ||||
\(494\) | −0.327732 | − | 0.0570450i | −0.0147454 | − | 0.00256657i | ||||
\(495\) | −13.5165 | + | 6.57526i | −0.607523 | + | 0.295536i | ||||
\(496\) | −7.16126 | − | 19.1495i | −0.321550 | − | 0.859837i | ||||
\(497\) | 3.80295 | − | 2.26854i | 0.170586 | − | 0.101758i | ||||
\(498\) | −2.18552 | + | 10.3679i | −0.0979353 | + | 0.464598i | ||||
\(499\) | 33.5091 | − | 8.97874i | 1.50007 | − | 0.401944i | 0.586949 | − | 0.809624i | \(-0.300329\pi\) |
0.913125 | + | 0.407680i | \(0.133662\pi\) | |||||||
\(500\) | −15.9749 | − | 1.32684i | −0.714421 | − | 0.0593381i | ||||
\(501\) | 11.8175 | − | 2.72190i | 0.527969 | − | 0.121605i | ||||
\(502\) | 12.5828 | − | 27.1396i | 0.561598 | − | 1.21130i | ||||
\(503\) | 12.9532i | 0.577555i | 0.957396 | + | 0.288778i | \(0.0932488\pi\) | ||||
−0.957396 | + | 0.288778i | \(0.906751\pi\) | |||||||
\(504\) | 10.2395 | + | 19.9788i | 0.456106 | + | 0.889926i | ||||
\(505\) | 15.0163i | 0.668218i | ||||||||
\(506\) | −25.9361 | − | 12.0248i | −1.15300 | − | 0.534569i | ||||
\(507\) | 21.8901 | − | 5.04187i | 0.972172 | − | 0.223917i | ||||
\(508\) | 15.7063 | − | 13.2973i | 0.696855 | − | 0.589974i | ||||
\(509\) | 8.29819 | − | 2.22349i | 0.367811 | − | 0.0985546i | −0.0701794 | − | 0.997534i | \(-0.522357\pi\) |
0.437990 | + | 0.898980i | \(0.355691\pi\) | |||||||
\(510\) | 7.24742 | + | 1.52772i | 0.320921 | + | 0.0676488i | ||||
\(511\) | −25.1259 | − | 14.0326i | −1.11150 | − | 0.620766i | ||||
\(512\) | −22.6230 | + | 0.447897i | −0.999804 | + | 0.0197945i | ||||
\(513\) | −4.09817 | + | 5.62239i | −0.180939 | + | 0.248235i | ||||
\(514\) | −0.200000 | + | 1.14903i | −0.00882162 | + | 0.0506815i | ||||
\(515\) | 14.2587 | + | 3.82061i | 0.628314 | + | 0.168356i | ||||
\(516\) | 21.9712 | − | 3.17494i | 0.967227 | − | 0.139769i | ||||
\(517\) | −48.0906 | − | 48.0906i | −2.11502 | − | 2.11502i | ||||
\(518\) | 37.2326 | + | 16.6215i | 1.63591 | + | 0.730305i | ||||
\(519\) | 0.100849 | + | 0.189905i | 0.00442679 | + | 0.00833592i | ||||
\(520\) | 0.371475 | − | 0.217752i | 0.0162902 | − | 0.00954905i | ||||
\(521\) | 10.6856 | − | 6.16932i | 0.468143 | − | 0.270283i | −0.247319 | − | 0.968934i | \(-0.579550\pi\) |
0.715462 | + | 0.698652i | \(0.246216\pi\) | |||||||
\(522\) | 0.222993 | + | 11.9717i | 0.00976015 | + | 0.523987i | ||||
\(523\) | −2.98859 | + | 0.800789i | −0.130682 | + | 0.0350161i | −0.323567 | − | 0.946205i | \(-0.604882\pi\) |
0.192885 | + | 0.981221i | \(0.438215\pi\) | |||||||
\(524\) | −13.0157 | + | 18.7635i | −0.568593 | + | 0.819686i | ||||
\(525\) | −18.6973 | − | 5.43649i | −0.816016 | − | 0.237268i | ||||
\(526\) | 18.5709 | + | 15.5133i | 0.809728 | + | 0.676413i | ||||
\(527\) | −15.4453 | − | 8.91732i | −0.672806 | − | 0.388445i | ||||
\(528\) | 8.00353 | − | 39.2497i | 0.348309 | − | 1.70812i | ||||
\(529\) | 5.38795 | + | 9.33220i | 0.234259 | + | 0.405748i | ||||
\(530\) | 7.33334 | − | 2.68740i | 0.318540 | − | 0.116733i | ||||
\(531\) | −24.0049 | + | 4.64047i | −1.04172 | + | 0.201379i | ||||
\(532\) | 7.06847 | + | 0.485723i | 0.306457 | + | 0.0210587i | ||||
\(533\) | 0.975993 | + | 0.975993i | 0.0422749 | + | 0.0422749i | ||||
\(534\) | −1.05597 | − | 19.5195i | −0.0456961 | − | 0.844693i | ||||
\(535\) | −0.110084 | − | 0.190672i | −0.00475936 | − | 0.00824345i | ||||
\(536\) | −6.32820 | − | 6.24523i | −0.273336 | − | 0.269753i | ||||
\(537\) | 1.07919 | − | 30.4551i | 0.0465706 | − | 1.31423i | ||||
\(538\) | 2.46496 | + | 27.4784i | 0.106272 | + | 1.18468i | ||||
\(539\) | 29.4227 | + | 27.7907i | 1.26733 | + | 1.19703i | ||||
\(540\) | −0.653866 | − | 8.98192i | −0.0281379 | − | 0.386520i | ||||
\(541\) | 10.0929 | − | 2.70437i | 0.433926 | − | 0.116270i | −0.0352425 | − | 0.999379i | \(-0.511220\pi\) |
0.469168 | + | 0.883109i | \(0.344554\pi\) | |||||||
\(542\) | 37.3450 | + | 6.50026i | 1.60410 | + | 0.279210i | ||||
\(543\) | −11.8039 | + | 18.8686i | −0.506553 | + | 0.809728i | ||||
\(544\) | −14.9803 | + | 12.8533i | −0.642274 | + | 0.551081i | ||||
\(545\) | −8.76959 | −0.375648 | ||||||||
\(546\) | 1.07705 | − | 0.369040i | 0.0460934 | − | 0.0157935i | ||||
\(547\) | −5.68276 | − | 5.68276i | −0.242977 | − | 0.242977i | 0.575103 | − | 0.818081i | \(-0.304962\pi\) |
−0.818081 | + | 0.575103i | \(0.804962\pi\) | |||||||
\(548\) | −19.3383 | − | 6.94237i | −0.826090 | − | 0.296563i | ||||
\(549\) | −3.36964 | − | 3.88439i | −0.143813 | − | 0.165782i | ||||
\(550\) | 19.9904 | + | 28.4160i | 0.852393 | + | 1.21166i | ||||
\(551\) | 3.27262 | + | 1.88945i | 0.139418 | + | 0.0804931i | ||||
\(552\) | 12.4555 | − | 11.7575i | 0.530143 | − | 0.500431i | ||||
\(553\) | −0.0889605 | − | 6.23873i | −0.00378299 | − | 0.265298i | ||||
\(554\) | 21.6552 | − | 1.94259i | 0.920040 | − | 0.0825326i | ||||
\(555\) | −11.1489 | − | 11.9680i | −0.473244 | − | 0.508015i | ||||
\(556\) | −13.5067 | − | 1.12183i | −0.572812 | − | 0.0475764i | ||||
\(557\) | 24.7033 | + | 6.61922i | 1.04671 | + | 0.280466i | 0.740892 | − | 0.671624i | \(-0.234403\pi\) |
0.305819 | + | 0.952090i | \(0.401070\pi\) | |||||||
\(558\) | −5.22140 | + | 21.0469i | −0.221040 | + | 0.890986i | ||||
\(559\) | − | 1.12581i | − | 0.0476168i | ||||||
\(560\) | −7.38913 | + | 5.43203i | −0.312248 | + | 0.229545i | ||||
\(561\) | −16.3891 | − | 30.8617i | −0.691948 | − | 1.30298i | ||||
\(562\) | 12.6884 | − | 4.64984i | 0.535229 | − | 0.196142i | ||||
\(563\) | 0.131523 | − | 0.490851i | 0.00554304 | − | 0.0206869i | −0.963099 | − | 0.269148i | \(-0.913258\pi\) |
0.968642 | + | 0.248461i | \(0.0799247\pi\) | |||||||
\(564\) | 37.4464 | − | 16.0670i | 1.57678 | − | 0.676544i | ||||
\(565\) | 2.04324 | − | 0.547484i | 0.0859596 | − | 0.0230328i | ||||
\(566\) | 3.00835 | + | 33.5359i | 0.126450 | + | 1.40962i | ||||
\(567\) | 3.02600 | − | 23.6187i | 0.127080 | − | 0.991892i | ||||
\(568\) | 2.33986 | − | 4.11522i | 0.0981781 | − | 0.172671i | ||||
\(569\) | 8.57445 | − | 14.8514i | 0.359460 | − | 0.622603i | −0.628411 | − | 0.777882i | \(-0.716294\pi\) |
0.987871 | + | 0.155279i | \(0.0496277\pi\) | |||||||
\(570\) | −2.53456 | − | 1.28605i | −0.106161 | − | 0.0538666i | ||||
\(571\) | −9.93395 | − | 2.66179i | −0.415723 | − | 0.111393i | 0.0448939 | − | 0.998992i | \(-0.485705\pi\) |
−0.460617 | + | 0.887599i | \(0.652372\pi\) | |||||||
\(572\) | −1.91198 | − | 0.686394i | −0.0799440 | − | 0.0286996i | ||||
\(573\) | −7.41693 | + | 24.2152i | −0.309847 | + | 1.01160i | ||||
\(574\) | −22.8277 | − | 18.5232i | −0.952810 | − | 0.773142i | ||||
\(575\) | 14.8560i | 0.619536i | ||||||||
\(576\) | 20.0587 | + | 13.1775i | 0.835781 | + | 0.549063i | ||||
\(577\) | 31.7254 | − | 18.3166i | 1.32074 | − | 0.762532i | 0.336897 | − | 0.941542i | \(-0.390623\pi\) |
0.983847 | + | 0.179010i | \(0.0572893\pi\) | |||||||
\(578\) | 1.17000 | − | 6.72180i | 0.0486654 | − | 0.279590i | ||||
\(579\) | −10.4960 | + | 9.77762i | −0.436200 | + | 0.406344i | ||||
\(580\) | −4.81327 | + | 0.870559i | −0.199860 | + | 0.0361480i | ||||
\(581\) | −11.0959 | − | 2.80420i | −0.460335 | − | 0.116338i | ||||
\(582\) | 12.0775 | − | 7.87218i | 0.500628 | − | 0.326312i | ||||
\(583\) | −31.9108 | − | 18.4237i | −1.32161 | − | 0.763032i | ||||
\(584\) | −30.7652 | + | 0.203010i | −1.27307 | + | 0.00840061i | ||||
\(585\) | −0.455566 | − | 0.0323270i | −0.0188353 | − | 0.00133656i | ||||
\(586\) | 2.62775 | − | 5.66774i | 0.108551 | − | 0.234132i | ||||
\(587\) | 8.32984 | − | 8.32984i | 0.343809 | − | 0.343809i | −0.513988 | − | 0.857797i | \(-0.671832\pi\) |
0.857797 | + | 0.513988i | \(0.171832\pi\) | |||||||
\(588\) | −22.0024 | + | 10.1929i | −0.907364 | + | 0.420347i | ||||
\(589\) | 4.83922 | + | 4.83922i | 0.199396 | + | 0.199396i | ||||
\(590\) | −3.43663 | − | 9.37784i | −0.141484 | − | 0.386079i | ||||
\(591\) | 0.226597 | − | 0.362216i | 0.00932095 | − | 0.0148996i | ||||
\(592\) | 43.3885 | − | 4.18097i | 1.78326 | − | 0.171837i | ||||
\(593\) | 18.2653 | − | 31.6364i | 0.750065 | − | 1.29915i | −0.197725 | − | 0.980258i | \(-0.563355\pi\) |
0.947790 | − | 0.318894i | \(-0.103311\pi\) | |||||||
\(594\) | −30.5434 | + | 29.5342i | −1.25321 | + | 1.21180i | ||||
\(595\) | −1.96020 | + | 7.75628i | −0.0803603 | + | 0.317976i | ||||
\(596\) | 1.87390 | − | 2.70142i | 0.0767578 | − | 0.110654i | ||||
\(597\) | 19.7415 | − | 18.3903i | 0.807965 | − | 0.752663i | ||||
\(598\) | −0.499794 | − | 0.710449i | −0.0204381 | − | 0.0290524i | ||||
\(599\) | 9.07955 | + | 15.7262i | 0.370980 | + | 0.642557i | 0.989717 | − | 0.143042i | \(-0.0456884\pi\) |
−0.618736 | + | 0.785599i | \(0.712355\pi\) | |||||||
\(600\) | −20.2536 | + | 4.80591i | −0.826851 | + | 0.196200i | ||||
\(601\) | 20.9059 | 0.852769 | 0.426384 | − | 0.904542i | \(-0.359787\pi\) | ||||
0.426384 | + | 0.904542i | \(0.359787\pi\) | |||||||
\(602\) | 2.48265 | + | 23.8492i | 0.101185 | + | 0.972021i | ||||
\(603\) | 1.78986 | + | 9.25886i | 0.0728888 | + | 0.377050i | ||||
\(604\) | −2.76809 | + | 7.71064i | −0.112632 | + | 0.313741i | ||||
\(605\) | −5.03050 | + | 18.7741i | −0.204519 | + | 0.763275i | ||||
\(606\) | 13.1845 | + | 40.3462i | 0.535583 | + | 1.63895i | ||||
\(607\) | −39.6809 | − | 22.9098i | −1.61060 | − | 0.929879i | −0.989232 | − | 0.146359i | \(-0.953245\pi\) |
−0.621366 | − | 0.783520i | \(-0.713422\pi\) | |||||||
\(608\) | 6.82905 | − | 3.27635i | 0.276955 | − | 0.132874i | ||||
\(609\) | −12.9303 | − | 0.273675i | −0.523961 | − | 0.0110899i | ||||
\(610\) | 1.34673 | − | 1.61216i | 0.0545275 | − | 0.0652744i | ||||
\(611\) | −0.534842 | − | 1.99606i | −0.0216374 | − | 0.0807519i | ||||
\(612\) | 20.8139 | − | 2.25858i | 0.841351 | − | 0.0912979i | ||||
\(613\) | 0.614291 | + | 0.164599i | 0.0248110 | + | 0.00664808i | 0.271203 | − | 0.962522i | \(-0.412578\pi\) |
−0.246392 | + | 0.969170i | \(0.579245\pi\) | |||||||
\(614\) | −3.80121 | + | 8.19875i | −0.153404 | + | 0.330874i | ||||
\(615\) | 5.53096 | + | 10.4151i | 0.223030 | + | 0.419979i | ||||
\(616\) | 42.0171 | + | 10.3243i | 1.69292 | + | 0.415976i | ||||
\(617\) | −33.6131 | −1.35321 | −0.676606 | − | 0.736345i | \(-0.736550\pi\) | ||||
−0.676606 | + | 0.736345i | \(0.736550\pi\) | |||||||
\(618\) | 41.6651 | − | 2.25400i | 1.67602 | − | 0.0906691i | ||||
\(619\) | 1.59927 | − | 5.96857i | 0.0642803 | − | 0.239897i | −0.926309 | − | 0.376764i | \(-0.877037\pi\) |
0.990589 | + | 0.136867i | \(0.0437033\pi\) | |||||||
\(620\) | −8.82802 | − | 0.733234i | −0.354542 | − | 0.0294474i | ||||
\(621\) | −17.9480 | + | 2.81431i | −0.720228 | + | 0.112934i | ||||
\(622\) | 12.4835 | − | 14.9439i | 0.500542 | − | 0.599194i | ||||
\(623\) | 21.1122 | − | 0.301047i | 0.845842 | − | 0.0120612i | ||||
\(624\) | 0.806897 | − | 0.911218i | 0.0323017 | − | 0.0364779i | ||||
\(625\) | 7.14985 | − | 12.3839i | 0.285994 | − | 0.495356i | ||||
\(626\) | −2.33204 | + | 13.3979i | −0.0932073 | + | 0.535489i | ||||
\(627\) | 3.00962 | + | 13.0667i | 0.120193 | + | 0.521835i | ||||
\(628\) | −4.10093 | + | 1.93430i | −0.163645 | + | 0.0771871i | ||||
\(629\) | 26.8875 | − | 26.8875i | 1.07208 | − | 1.07208i | ||||
\(630\) | 9.72199 | − | 0.319803i | 0.387334 | − | 0.0127413i | ||||
\(631\) | 1.42992i | 0.0569242i | 0.999595 | + | 0.0284621i | \(0.00906099\pi\) | ||||
−0.999595 | + | 0.0284621i | \(0.990939\pi\) | |||||||
\(632\) | −3.37312 | − | 5.75440i | −0.134176 | − | 0.228898i | ||||
\(633\) | −13.3824 | + | 21.3918i | −0.531901 | + | 0.850246i | ||||
\(634\) | 11.6009 | + | 16.4905i | 0.460732 | + | 0.654923i | ||||
\(635\) | −2.30782 | − | 8.61290i | −0.0915830 | − | 0.341792i | ||||
\(636\) | 17.3438 | − | 13.6593i | 0.687727 | − | 0.541627i | ||||
\(637\) | 0.352020 | + | 1.17828i | 0.0139475 | + | 0.0466852i | ||||
\(638\) | 17.7103 | + | 14.7944i | 0.701157 | + | 0.585717i | ||||
\(639\) | −4.51518 | + | 2.19645i | −0.178618 | + | 0.0868904i | ||||
\(640\) | −4.00612 | + | 8.94832i | −0.158356 | + | 0.353713i | ||||
\(641\) | 5.17909 | − | 2.99015i | 0.204562 | − | 0.118104i | −0.394220 | − | 0.919016i | \(-0.628985\pi\) |
0.598782 | + | 0.800912i | \(0.295652\pi\) | |||||||
\(642\) | −0.463188 | − | 0.415645i | −0.0182806 | − | 0.0164042i | ||||
\(643\) | −19.0080 | + | 19.0080i | −0.749603 | + | 0.749603i | −0.974405 | − | 0.224801i | \(-0.927827\pi\) |
0.224801 | + | 0.974405i | \(0.427827\pi\) | |||||||
\(644\) | 12.1543 | + | 13.9480i | 0.478948 | + | 0.549628i | ||||
\(645\) | 2.81696 | − | 9.19695i | 0.110918 | − | 0.362130i | ||||
\(646\) | 2.77921 | − | 5.99442i | 0.109347 | − | 0.235847i | ||||
\(647\) | 38.2823 | − | 22.1023i | 1.50503 | − | 0.868932i | 0.505051 | − | 0.863089i | \(-0.331474\pi\) |
0.999983 | − | 0.00584236i | \(-0.00185969\pi\) | |||||||
\(648\) | −9.64303 | − | 23.5587i | −0.378814 | − | 0.925473i | ||||
\(649\) | −23.5601 | + | 40.8073i | −0.924815 | + | 1.60183i | ||||
\(650\) | 0.0943194 | + | 1.05143i | 0.00369951 | + | 0.0412407i | ||||
\(651\) | −22.4909 | − | 6.53954i | −0.881489 | − | 0.256305i | ||||
\(652\) | −22.8898 | + | 32.9980i | −0.896434 | + | 1.29230i | ||||
\(653\) | −4.49506 | − | 16.7758i | −0.175905 | − | 0.656487i | −0.996396 | − | 0.0848271i | \(-0.972966\pi\) |
0.820490 | − | 0.571660i | \(-0.193700\pi\) | |||||||
\(654\) | −23.5623 | + | 7.69979i | −0.921359 | + | 0.301085i | ||||
\(655\) | 4.94723 | + | 8.56886i | 0.193304 | + | 0.334813i | ||||
\(656\) | −30.9966 | − | 5.18477i | −1.21021 | − | 0.202431i | ||||
\(657\) | 27.0345 | + | 18.2755i | 1.05472 | + | 0.712995i | ||||
\(658\) | 15.7318 | + | 41.1051i | 0.613291 | + | 1.60244i | ||||
\(659\) | −35.1349 | + | 35.1349i | −1.36866 | + | 1.36866i | −0.506310 | + | 0.862351i | \(0.668991\pi\) |
−0.862351 | + | 0.506310i | \(0.831009\pi\) | |||||||
\(660\) | −13.9018 | − | 10.3914i | −0.541128 | − | 0.404483i | ||||
\(661\) | 11.1353 | − | 41.5576i | 0.433114 | − | 1.61640i | −0.312427 | − | 0.949942i | \(-0.601142\pi\) |
0.745540 | − | 0.666461i | \(-0.232192\pi\) | |||||||
\(662\) | −29.2864 | − | 41.6302i | −1.13825 | − | 1.61800i | ||||
\(663\) | 0.0375999 | − | 1.06108i | 0.00146026 | − | 0.0412089i | ||||
\(664\) | −11.7969 | + | 3.24455i | −0.457809 | + | 0.125913i | ||||
\(665\) | 1.49688 | − | 2.68022i | 0.0580467 | − | 0.103934i | ||||
\(666\) | −40.4631 | − | 22.3671i | −1.56791 | − | 0.866709i | ||||
\(667\) | 2.55388 | + | 9.53120i | 0.0988865 | + | 0.369049i | ||||
\(668\) | 9.04805 | + | 10.6872i | 0.350080 | + | 0.413501i | ||||
\(669\) | −23.6040 | + | 5.43663i | −0.912583 | + | 0.210192i | ||||
\(670\) | −3.61710 | + | 1.32553i | −0.139741 | + | 0.0512098i | ||||
\(671\) | −9.91051 | −0.382591 | ||||||||
\(672\) | −15.0839 | + | 21.0826i | −0.581873 | + | 0.813280i | ||||
\(673\) | −16.3864 | −0.631649 | −0.315824 | − | 0.948818i | \(-0.602281\pi\) | ||||
−0.315824 | + | 0.948818i | \(0.602281\pi\) | |||||||
\(674\) | −10.3550 | + | 3.79474i | −0.398861 | + | 0.146168i | ||||
\(675\) | 20.6000 | + | 7.94409i | 0.792896 | + | 0.305768i | ||||
\(676\) | 16.7600 | + | 19.7963i | 0.644617 | + | 0.761397i | ||||
\(677\) | −3.20755 | − | 11.9707i | −0.123276 | − | 0.460073i | 0.876496 | − | 0.481409i | \(-0.159875\pi\) |
−0.999772 | + | 0.0213360i | \(0.993208\pi\) | |||||||
\(678\) | 5.00911 | − | 3.26497i | 0.192374 | − | 0.125390i | ||||
\(679\) | 7.97731 | + | 13.3731i | 0.306141 | + | 0.513211i | ||||
\(680\) | 2.26801 | + | 8.24630i | 0.0869744 | + | 0.316231i | ||||
\(681\) | −32.5380 | − | 1.15300i | −1.24686 | − | 0.0441831i | ||||
\(682\) | 24.0464 | + | 34.1815i | 0.920784 | + | 1.30888i | ||||
\(683\) | −13.4378 | + | 50.1506i | −0.514183 | + | 1.91896i | −0.145683 | + | 0.989331i | \(0.546538\pi\) |
−0.368501 | + | 0.929628i | \(0.620129\pi\) | |||||||
\(684\) | −7.93907 | − | 1.23001i | −0.303558 | − | 0.0470305i | ||||
\(685\) | −6.29508 | + | 6.29508i | −0.240523 | + | 0.240523i | ||||
\(686\) | −10.0555 | − | 24.1844i | −0.383923 | − | 0.923365i | ||||
\(687\) | 14.2305 | + | 26.7968i | 0.542926 | + | 1.02236i | ||||
\(688\) | 14.8870 | + | 20.8677i | 0.567562 | + | 0.795573i | ||||
\(689\) | −0.559797 | − | 0.969597i | −0.0213266 | − | 0.0369387i | ||||
\(690\) | −2.30525 | − | 7.05435i | −0.0877593 | − | 0.268554i | ||||
\(691\) | −9.42763 | − | 35.1844i | −0.358644 | − | 1.33848i | −0.875836 | − | 0.482608i | \(-0.839690\pi\) |
0.517192 | − | 0.855869i | \(-0.326977\pi\) | |||||||
\(692\) | −0.141515 | + | 0.204009i | −0.00537960 | + | 0.00775525i | ||||
\(693\) | −30.5631 | − | 34.2334i | −1.16100 | − | 1.30042i | ||||
\(694\) | −1.99375 | − | 22.2256i | −0.0756819 | − | 0.843671i | ||||
\(695\) | −2.93621 | + | 5.08566i | −0.111377 | + | 0.192910i | ||||
\(696\) | −12.1680 | + | 6.56514i | −0.461228 | + | 0.248851i | ||||
\(697\) | −23.7422 | + | 13.7075i | −0.899298 | + | 0.519210i | ||||
\(698\) | 6.70956 | − | 14.4717i | 0.253961 | − | 0.547763i | ||||
\(699\) | −39.5764 | − | 12.1220i | −1.49692 | − | 0.458495i | ||||
\(700\) | −4.31670 | − | 22.0656i | −0.163156 | − | 0.834001i | ||||
\(701\) | 9.18394 | − | 9.18394i | 0.346873 | − | 0.346873i | −0.512071 | − | 0.858943i | \(-0.671121\pi\) |
0.858943 | + | 0.512071i | \(0.171121\pi\) | |||||||
\(702\) | −1.25241 | + | 0.313134i | −0.0472690 | + | 0.0118185i | ||||
\(703\) | −12.6364 | + | 7.29560i | −0.476589 | + | 0.275159i | ||||
\(704\) | 44.5163 | − | 12.5600i | 1.67777 | − | 0.473375i | ||||
\(705\) | 0.625239 | − | 17.6444i | 0.0235479 | − | 0.664527i | ||||
\(706\) | 19.3688 | + | 16.1799i | 0.728956 | + | 0.608939i | ||||
\(707\) | −44.1108 | + | 12.4962i | −1.65896 | + | 0.469968i | ||||
\(708\) | −17.4674 | − | 22.1792i | −0.656466 | − | 0.833544i | ||||
\(709\) | 4.34186 | + | 16.2040i | 0.163062 | + | 0.608555i | 0.998279 | + | 0.0586356i | \(0.0186750\pi\) |
−0.835218 | + | 0.549920i | \(0.814658\pi\) | |||||||
\(710\) | −1.18018 | − | 1.67760i | −0.0442913 | − | 0.0629594i | ||||
\(711\) | −0.500768 | + | 7.05703i | −0.0187803 | + | 0.264659i | ||||
\(712\) | 19.4732 | − | 11.4148i | 0.729788 | − | 0.427789i | ||||
\(713\) | 17.8702i | 0.669244i | ||||||||
\(714\) | 1.54339 | + | 22.5608i | 0.0577598 | + | 0.844316i | ||||
\(715\) | −0.622397 | + | 0.622397i | −0.0232763 | + | 0.0232763i | ||||
\(716\) | 31.8260 | − | 15.0115i | 1.18939 | − | 0.561006i | ||||
\(717\) | 7.73424 | − | 1.78140i | 0.288840 | − | 0.0665277i | ||||
\(718\) | 4.05879 | − | 23.3184i | 0.151473 | − | 0.870234i | ||||
\(719\) | −10.7446 | + | 18.6102i | −0.400706 | + | 0.694042i | −0.993811 | − | 0.111082i | \(-0.964568\pi\) |
0.593106 | + | 0.805125i | \(0.297902\pi\) | |||||||
\(720\) | 8.87169 | − | 5.42491i | 0.330628 | − | 0.202174i | ||||
\(721\) | 0.642596 | + | 45.0647i | 0.0239315 | + | 1.67830i | ||||
\(722\) | 15.6010 | − | 18.6758i | 0.580607 | − | 0.695040i | ||||
\(723\) | 34.8937 | + | 37.4575i | 1.29771 | + | 1.39306i | ||||
\(724\) | −25.6115 | − | 2.12723i | −0.951843 | − | 0.0790578i | ||||
\(725\) | 3.10373 | − | 11.5833i | 0.115270 | − | 0.430192i | ||||
\(726\) | 2.96778 | + | 54.8594i | 0.110145 | + | 2.03602i | ||||
\(727\) | −27.2660 | −1.01124 | −0.505619 | − | 0.862757i | \(-0.668736\pi\) | ||||
−0.505619 | + | 0.862757i | \(0.668736\pi\) | |||||||
\(728\) | 0.948782 | + | 0.910007i | 0.0351642 | + | 0.0337271i | ||||
\(729\) | −5.69506 | + | 26.3925i | −0.210928 | + | 0.977502i | ||||
\(730\) | −5.60710 | + | 12.0938i | −0.207528 | + | 0.447613i | ||||
\(731\) | 21.5992 | + | 5.78749i | 0.798875 | + | 0.214058i | ||||
\(732\) | 2.20293 | − | 5.51402i | 0.0814227 | − | 0.203804i | ||||
\(733\) | −1.83153 | − | 6.83537i | −0.0676491 | − | 0.252470i | 0.923817 | − | 0.382834i | \(-0.125052\pi\) |
−0.991466 | + | 0.130364i | \(0.958385\pi\) | |||||||
\(734\) | −27.7088 | + | 33.1699i | −1.02275 | + | 1.22432i | ||||
\(735\) | −0.0725358 | + | 10.5064i | −0.00267552 | + | 0.387534i | ||||
\(736\) | 18.6586 | + | 6.55969i | 0.687763 | + | 0.241793i | ||||
\(737\) | 15.7397 | + | 9.08730i | 0.579778 | + | 0.334735i | ||||
\(738\) | 24.0053 | + | 23.1274i | 0.883647 | + | 0.851330i | ||||
\(739\) | 10.3916 | − | 38.7821i | 0.382262 | − | 1.42662i | −0.460175 | − | 0.887828i | \(-0.652213\pi\) |
0.842438 | − | 0.538794i | \(-0.181120\pi\) | |||||||
\(740\) | 6.38151 | − | 17.7760i | 0.234589 | − | 0.653458i | ||||
\(741\) | −0.119319 | + | 0.389559i | −0.00438330 | + | 0.0143108i | ||||
\(742\) | 13.9969 | + | 19.3055i | 0.513843 | + | 0.708726i | ||||
\(743\) | 11.6648 | 0.427942 | 0.213971 | − | 0.976840i | \(-0.431360\pi\) | ||||
0.213971 | + | 0.976840i | \(0.431360\pi\) | |||||||
\(744\) | −24.3631 | + | 5.78102i | −0.893193 | + | 0.211942i | ||||
\(745\) | −0.712263 | − | 1.23368i | −0.0260953 | − | 0.0451984i | ||||
\(746\) | 26.7694 | + | 38.0523i | 0.980098 | + | 1.39319i | ||||
\(747\) | 12.2658 | + | 4.23756i | 0.448781 | + | 0.155044i | ||||
\(748\) | 22.9977 | − | 33.1536i | 0.840881 | − | 1.21222i | ||||
\(749\) | 0.468493 | − | 0.482047i | 0.0171184 | − | 0.0176136i | ||||
\(750\) | −4.04948 | + | 19.2104i | −0.147866 | + | 0.701466i | ||||
\(751\) | −19.0586 | + | 33.0104i | −0.695456 | + | 1.20457i | 0.274570 | + | 0.961567i | \(0.411464\pi\) |
−0.970027 | + | 0.242999i | \(0.921869\pi\) | |||||||
\(752\) | 36.3083 | + | 29.9259i | 1.32403 | + | 1.09128i | ||||
\(753\) | −31.0606 | − | 19.4310i | −1.13191 | − | 0.708107i | ||||
\(754\) | 0.241264 | + | 0.658359i | 0.00878633 | + | 0.0239760i | ||||
\(755\) | 2.51000 | + | 2.51000i | 0.0913483 | + | 0.0913483i | ||||
\(756\) | 25.8405 | − | 9.39526i | 0.939808 | − | 0.341702i | ||||
\(757\) | 15.5465 | − | 15.5465i | 0.565049 | − | 0.565049i | −0.365688 | − | 0.930737i | \(-0.619166\pi\) |
0.930737 | + | 0.365688i | \(0.119166\pi\) | |||||||
\(758\) | −5.01520 | + | 10.8172i | −0.182160 | + | 0.392898i | ||||
\(759\) | −18.5694 | + | 29.6833i | −0.674026 | + | 1.07743i | ||||
\(760\) | −0.0216554 | − | 3.28178i | −0.000785525 | − | 0.119043i | ||||
\(761\) | 30.5621 | + | 17.6450i | 1.10787 | + | 0.639631i | 0.938278 | − | 0.345883i | \(-0.112420\pi\) |
0.169596 | + | 0.985514i | \(0.445754\pi\) | |||||||
\(762\) | −13.7629 | − | 21.1150i | −0.498577 | − | 0.764916i | ||||
\(763\) | −7.29782 | − | 25.7609i | −0.264199 | − | 0.932606i | ||||
\(764\) | −28.7766 | + | 5.20471i | −1.04110 | + | 0.188300i | ||||
\(765\) | 2.96215 | − | 8.57404i | 0.107097 | − | 0.309995i | ||||
\(766\) | 5.30584 | − | 30.4828i | 0.191708 | − | 1.10139i | ||||
\(767\) | −1.23992 | + | 0.715865i | −0.0447707 | + | 0.0258484i | ||||
\(768\) | −2.90701 | + | 27.5599i | −0.104898 | + | 0.994483i | ||||
\(769\) | 6.22612i | 0.224520i | 0.993679 | + | 0.112260i | \(0.0358089\pi\) | ||||
−0.993679 | + | 0.112260i | \(0.964191\pi\) | |||||||
\(770\) | 11.8123 | − | 14.5574i | 0.425687 | − | 0.524611i | ||||
\(771\) | 1.36580 | + | 0.418334i | 0.0491879 | + | 0.0150659i | ||||
\(772\) | −15.5896 | − | 5.59661i | −0.561082 | − | 0.201426i | ||||
\(773\) | 9.25469 | + | 2.47979i | 0.332868 | + | 0.0891917i | 0.421382 | − | 0.906883i | \(-0.361545\pi\) |
−0.0885140 | + | 0.996075i | \(0.528212\pi\) | |||||||
\(774\) | −0.506345 | − | 27.1839i | −0.0182002 | − | 0.977104i | ||||
\(775\) | 10.8588 | − | 18.8080i | 0.390061 | − | 0.675605i | ||||
\(776\) | 14.4712 | + | 8.22809i | 0.519484 | + | 0.295371i | ||||
\(777\) | 25.8786 | − | 42.7096i | 0.928389 | − | 1.53220i | ||||
\(778\) | −0.507640 | − | 5.65896i | −0.0181998 | − | 0.202884i | ||||
\(779\) | 10.1615 | − | 2.72277i | 0.364074 | − | 0.0975535i | ||||
\(780\) | −0.207942 | − | 0.484638i | −0.00744553 | − | 0.0173528i | ||||
\(781\) | −2.50457 | + | 9.34719i | −0.0896206 | + | 0.334469i | ||||
\(782\) | 16.1996 | − | 5.93655i | 0.579296 | − | 0.212291i | ||||
\(783\) | 14.5821 | + | 1.55539i | 0.521122 | + | 0.0555850i | ||||
\(784\) | −22.1058 | − | 17.1853i | −0.789491 | − | 0.613762i | ||||
\(785\) | 1.96462i | 0.0701202i | ||||||||
\(786\) | 20.8159 | + | 18.6793i | 0.742477 | + | 0.666267i | ||||
\(787\) | −20.5741 | − | 5.51281i | −0.733387 | − | 0.196510i | −0.127250 | − | 0.991871i | \(-0.540615\pi\) |
−0.606137 | + | 0.795360i | \(0.707282\pi\) | |||||||
\(788\) | 0.491658 | + | 0.0408360i | 0.0175146 | + | 0.00145472i | ||||
\(789\) | 21.6850 | − | 20.2008i | 0.772007 | − | 0.719166i | ||||
\(790\) | −2.87853 | + | 0.258220i | −0.102414 | + | 0.00918705i | ||||
\(791\) | 3.30857 | + | 5.54645i | 0.117639 | + | 0.197209i | ||||
\(792\) | −46.4754 | − | 15.7138i | −1.65143 | − | 0.558364i | ||||
\(793\) | −0.260784 | − | 0.150564i | −0.00926070 | − | 0.00534667i | ||||
\(794\) | 8.73993 | + | 12.4237i | 0.310169 | + | 0.440899i | ||||
\(795\) | −2.14699 | − | 9.32151i | −0.0761460 | − | 0.330600i | ||||
\(796\) | 29.3217 | + | 10.5264i | 1.03928 | + | 0.373098i | ||||
\(797\) | 9.21921 | + | 9.21921i | 0.326561 | + | 0.326561i | 0.851277 | − | 0.524716i | \(-0.175829\pi\) |
−0.524716 | + | 0.851277i | \(0.675829\pi\) | |||||||
\(798\) | 1.66860 | − | 8.51554i | 0.0590677 | − | 0.301447i | ||||
\(799\) | 41.0447 | 1.45206 | ||||||||
\(800\) | −15.6518 | − | 18.2418i | −0.553374 | − | 0.644946i | ||||
\(801\) | −23.8814 | − | 1.69463i | −0.843806 | − | 0.0598766i | ||||
\(802\) | −29.8837 | − | 5.20156i | −1.05523 | − | 0.183673i | ||||
\(803\) | 60.7477 | − | 16.2773i | 2.14374 | − | 0.574414i | ||||
\(804\) | −8.55465 | + | 6.73731i | −0.301699 | + | 0.237607i | ||||
\(805\) | 7.71258 | − | 2.18490i | 0.271833 | − | 0.0770077i | ||||
\(806\) | 0.113457 | + | 1.26477i | 0.00399634 | + | 0.0445496i | ||||
\(807\) | 33.7680 | + | 1.19659i | 1.18869 | + | 0.0421218i | ||||
\(808\) | −34.4274 | + | 34.8848i | −1.21115 | + | 1.22724i | ||||
\(809\) | −13.8920 | − | 24.0616i | −0.488415 | − | 0.845960i | 0.511496 | − | 0.859286i | \(-0.329092\pi\) |
−0.999911 | + | 0.0133254i | \(0.995758\pi\) | |||||||
\(810\) | −11.0146 | − | 0.575674i | −0.387015 | − | 0.0202271i | ||||
\(811\) | 15.6738 | + | 15.6738i | 0.550381 | + | 0.550381i | 0.926551 | − | 0.376170i | \(-0.122759\pi\) |
−0.376170 | + | 0.926551i | \(0.622759\pi\) | |||||||
\(812\) | −6.56276 | − | 13.4146i | −0.230308 | − | 0.470762i | ||||
\(813\) | 13.5964 | − | 44.3902i | 0.476847 | − | 1.55683i | ||||
\(814\) | −83.6634 | + | 30.6596i | −2.93240 | + | 1.07462i | ||||
\(815\) | 8.70035 | + | 15.0695i | 0.304760 | + | 0.527860i | ||||
\(816\) | 13.3341 | + | 20.1650i | 0.466786 | + | 0.705916i | ||||
\(817\) | −7.43105 | − | 4.29032i | −0.259979 | − | 0.150099i | ||||
\(818\) | −4.68762 | − | 3.91584i | −0.163899 | − | 0.136914i | ||||
\(819\) | −0.284148 | − | 1.36514i | −0.00992895 | − | 0.0477017i | ||||
\(820\) | −7.76124 | + | 11.1886i | −0.271034 | + | 0.390724i | ||||
\(821\) | −25.2310 | + | 6.76061i | −0.880567 | + | 0.235947i | −0.670652 | − | 0.741773i | \(-0.733985\pi\) |
−0.209915 | + | 0.977720i | \(0.567319\pi\) | |||||||
\(822\) | −11.3866 | + | 22.4409i | −0.397154 | + | 0.782716i | ||||
\(823\) | −14.6550 | + | 8.46106i | −0.510840 | + | 0.294934i | −0.733179 | − | 0.680036i | \(-0.761964\pi\) |
0.222339 | + | 0.974970i | \(0.428631\pi\) | |||||||
\(824\) | 24.3654 | + | 41.5662i | 0.848808 | + | 1.44803i | ||||
\(825\) | 37.5810 | − | 19.9574i | 1.30840 | − | 0.694827i | ||||
\(826\) | 24.6877 | − | 17.8992i | 0.858996 | − | 0.622792i | ||||
\(827\) | 6.91465 | + | 6.91465i | 0.240446 | + | 0.240446i | 0.817035 | − | 0.576589i | \(-0.195616\pi\) |
−0.576589 | + | 0.817035i | \(0.695616\pi\) | |||||||
\(828\) | −12.3876 | − | 16.9297i | −0.430498 | − | 0.588349i | ||||
\(829\) | 23.1308 | + | 6.19787i | 0.803365 | + | 0.215261i | 0.637061 | − | 0.770813i | \(-0.280150\pi\) |
0.166304 | + | 0.986075i | \(0.446817\pi\) | |||||||
\(830\) | −0.909065 | + | 5.22271i | −0.0315541 | + | 0.181283i | ||||
\(831\) | 0.943005 | − | 26.6118i | 0.0327125 | − | 0.923155i | ||||
\(832\) | 1.36221 | + | 0.345802i | 0.0472262 | + | 0.0119885i | ||||
\(833\) | −24.4155 | + | 0.696441i | −0.845946 | + | 0.0241303i | ||||
\(834\) | −3.42380 | + | 16.2423i | −0.118557 | + | 0.562424i | ||||
\(835\) | 5.86057 | − | 1.57033i | 0.202813 | − | 0.0543437i | ||||
\(836\) | −11.8169 | + | 10.0045i | −0.408697 | + | 0.346013i | ||||
\(837\) | 24.7797 | + | 9.55593i | 0.856513 | + | 0.330301i | ||||
\(838\) | −1.82688 | − | 0.847000i | −0.0631085 | − | 0.0292591i | ||||
\(839\) | − | 53.1082i | − | 1.83350i | −0.399462 | − | 0.916750i | \(-0.630803\pi\) | ||
0.399462 | − | 0.916750i | \(-0.369197\pi\) | |||||||
\(840\) | 5.47378 | + | 9.80801i | 0.188863 | + | 0.338408i | ||||
\(841\) | 21.0349i | 0.725342i | ||||||||
\(842\) | 17.2659 | − | 37.2406i | 0.595024 | − | 1.28340i | ||||
\(843\) | −3.71480 | − | 16.1284i | −0.127945 | − | 0.555492i | ||||
\(844\) | −29.0364 | − | 2.41169i | −0.999473 | − | 0.0830138i | ||||
\(845\) | 10.8558 | − | 2.90879i | 0.373449 | − | 0.100065i | ||||
\(846\) | −13.8121 | − | 47.9563i | −0.474868 | − | 1.64877i | ||||
\(847\) | −59.3355 | + | 0.846089i | −2.03879 | + | 0.0290720i | ||||
\(848\) | 23.1976 | + | 10.5697i | 0.796607 | + | 0.362966i | ||||
\(849\) | 41.2120 | + | 1.46037i | 1.41439 | + | 0.0501197i | ||||
\(850\) | −20.6571 | − | 3.59557i | −0.708533 | − | 0.123327i | ||||
\(851\) | −36.8022 | − | 9.86113i | −1.26156 | − | 0.338035i | ||||
\(852\) | −4.64388 | − | 3.47121i | −0.159097 | − | 0.118922i | ||||
\(853\) | 25.5060 | + | 25.5060i | 0.873310 | + | 0.873310i | 0.992832 | − | 0.119522i | \(-0.0381361\pi\) |
−0.119522 | + | 0.992832i | \(0.538136\pi\) | |||||||
\(854\) | 5.85647 | + | 2.61445i | 0.200404 | + | 0.0894648i | ||||
\(855\) | −1.94948 | + | 2.88382i | −0.0666707 | + | 0.0986245i | ||||
\(856\) | 0.181407 | − | 0.695339i | 0.00620035 | − | 0.0237662i | ||||
\(857\) | −21.1037 | + | 12.1842i | −0.720887 | + | 0.416205i | −0.815079 | − | 0.579350i | \(-0.803307\pi\) |
0.0941918 | + | 0.995554i | \(0.469973\pi\) | |||||||
\(858\) | −1.12580 | + | 2.21874i | −0.0384341 | + | 0.0757465i | ||||
\(859\) | 6.52316 | − | 1.74788i | 0.222567 | − | 0.0596368i | −0.145812 | − | 0.989312i | \(-0.546579\pi\) |
0.368379 | + | 0.929676i | \(0.379913\pi\) | |||||||
\(860\) | 10.9294 | − | 1.97676i | 0.372689 | − | 0.0674069i | ||||
\(861\) | −25.9920 | + | 24.9145i | −0.885805 | + | 0.849085i | ||||
\(862\) | −0.549514 | + | 0.657818i | −0.0187165 | + | 0.0224054i | ||||
\(863\) | −35.3090 | − | 20.3856i | −1.20193 | − | 0.693935i | −0.240947 | − | 0.970538i | \(-0.577458\pi\) |
−0.960984 | + | 0.276603i | \(0.910791\pi\) | |||||||
\(864\) | 19.0735 | − | 22.3652i | 0.648894 | − | 0.760879i | ||||
\(865\) | 0.0537895 | + | 0.0931662i | 0.00182890 | + | 0.00316775i | ||||
\(866\) | 3.75877 | + | 10.2569i | 0.127728 | + | 0.348543i | ||||
\(867\) | −7.98988 | − | 2.44725i | −0.271351 | − | 0.0831128i | ||||
\(868\) | −5.19255 | − | 26.5427i | −0.176247 | − | 0.900917i | ||||
\(869\) | 9.64135 | + | 9.64135i | 0.327061 | + | 0.327061i | ||||
\(870\) | 0.323610 | + | 5.98193i | 0.0109714 | + | 0.202806i | ||||
\(871\) | 0.276114 | + | 0.478244i | 0.00935577 | + | 0.0162047i | ||||
\(872\) | −20.3728 | − | 20.1057i | −0.689911 | − | 0.680866i | ||||
\(873\) | −7.72382 | − | 15.8776i | −0.261412 | − | 0.537375i | ||||
\(874\) | −6.59405 | + | 0.591522i | −0.223047 | + | 0.0200085i | ||||
\(875\) | −20.5592 | − | 5.19582i | −0.695029 | − | 0.175651i | ||||
\(876\) | −4.44676 | + | 37.4171i | −0.150242 | + | 1.26421i | ||||
\(877\) | 30.2968 | − | 8.11801i | 1.02305 | − | 0.274126i | 0.291978 | − | 0.956425i | \(-0.405687\pi\) |
0.731073 | + | 0.682299i | \(0.239020\pi\) | |||||||
\(878\) | 2.79422 | − | 16.0532i | 0.0943002 | − | 0.541768i | ||||
\(879\) | −6.48660 | − | 4.05791i | −0.218787 | − | 0.136870i | ||||
\(880\) | 3.30636 | − | 19.7667i | 0.111457 | − | 0.666336i | ||||
\(881\) | 14.3252 | 0.482627 | 0.241313 | − | 0.970447i | \(-0.422422\pi\) | ||||
0.241313 | + | 0.970447i | \(0.422422\pi\) | |||||||
\(882\) | 9.02982 | + | 28.2924i | 0.304050 | + | 0.952656i | ||||
\(883\) | −26.2056 | − | 26.2056i | −0.881888 | − | 0.881888i | 0.111838 | − | 0.993726i | \(-0.464326\pi\) |
−0.993726 | + | 0.111838i | \(0.964326\pi\) | |||||||
\(884\) | 1.10884 | − | 0.523011i | 0.0372943 | − | 0.0175908i | ||||
\(885\) | −11.9203 | + | 2.74556i | −0.400696 | + | 0.0922910i | ||||
\(886\) | 20.0148 | − | 14.0802i | 0.672411 | − | 0.473035i | ||||
\(887\) | 20.7034 | + | 11.9531i | 0.695151 | + | 0.401345i | 0.805539 | − | 0.592543i | \(-0.201876\pi\) |
−0.110388 | + | 0.993889i | \(0.535209\pi\) | |||||||
\(888\) | 1.53849 | − | 53.3639i | 0.0516282 | − | 1.79077i | ||||
\(889\) | 23.3801 | − | 13.9467i | 0.784142 | − | 0.467757i | ||||
\(890\) | −0.873830 | − | 9.74110i | −0.0292908 | − | 0.326522i | ||||
\(891\) | 31.2305 | + | 41.6221i | 1.04626 | + | 1.39439i | ||||
\(892\) | −18.0723 | − | 21.3463i | −0.605105 | − | 0.714727i | ||||
\(893\) | −15.2134 | − | 4.07642i | −0.509098 | − | 0.136412i | ||||
\(894\) | −2.99690 | − | 2.68929i | −0.100231 | − | 0.0899433i | ||||
\(895\) | − | 15.2467i | − | 0.509642i | ||||||
\(896\) | −29.6197 | − | 4.32151i | −0.989524 | − | 0.144372i | ||||
\(897\) | −0.939590 | + | 0.498969i | −0.0313720 | + | 0.0166601i | ||||
\(898\) | −12.9206 | − | 35.2576i | −0.431166 | − | 1.17656i | ||||
\(899\) | 3.73347 | − | 13.9335i | 0.124518 | − | 0.464708i | ||||
\(900\) | 2.75033 | + | 25.3455i | 0.0916777 | + | 0.844851i | ||||
\(901\) | 21.4799 | − | 5.75552i | 0.715599 | − | 0.191744i | ||||
\(902\) | 63.9856 | − | 5.73986i | 2.13049 | − | 0.191116i | ||||
\(903\) | 29.3604 | + | 0.621427i | 0.977054 | + | 0.0206798i | ||||
\(904\) | 6.00188 | + | 3.41258i | 0.199620 | + | 0.113501i | ||||
\(905\) | −5.56766 | + | 9.64347i | −0.185075 | + | 0.320560i | ||||
\(906\) | 8.94773 | + | 4.54011i | 0.297268 | + | 0.150835i | ||||
\(907\) | −18.2981 | − | 4.90297i | −0.607580 | − | 0.162801i | −0.0581047 | − | 0.998310i | \(-0.518506\pi\) |
−0.549475 | + | 0.835510i | \(0.685172\pi\) | |||||||
\(908\) | −16.0381 | − | 34.0026i | −0.532245 | − | 1.12842i | ||||
\(909\) | 51.0403 | − | 9.86677i | 1.69290 | − | 0.327260i | ||||
\(910\) | 0.531988 | − | 0.203604i | 0.0176352 | − | 0.00674940i | ||||
\(911\) | 20.0171i | 0.663197i | 0.943421 | + | 0.331598i | \(0.107588\pi\) | ||||
−0.943421 | + | 0.331598i | \(0.892412\pi\) | |||||||
\(912\) | −2.93962 | − | 8.79854i | −0.0973405 | − | 0.291349i | ||||
\(913\) | 21.6596 | − | 12.5052i | 0.716827 | − | 0.413860i | ||||
\(914\) | 40.8891 | + | 7.11715i | 1.35249 | + | 0.235414i | ||||
\(915\) | −1.75365 | − | 1.88250i | −0.0579740 | − | 0.0622336i | ||||
\(916\) | −19.9687 | + | 28.7869i | −0.659784 | + | 0.951147i | ||||
\(917\) | −21.0543 | + | 21.6634i | −0.695273 | + | 0.715388i | ||||
\(918\) | 0.430656 | − | 25.6377i | 0.0142138 | − | 0.846170i | ||||
\(919\) | −6.65546 | − | 3.84253i | −0.219543 | − | 0.126753i | 0.386195 | − | 0.922417i | \(-0.373789\pi\) |
−0.605739 | + | 0.795664i | \(0.707122\pi\) | |||||||
\(920\) | 6.01948 | − | 6.09944i | 0.198456 | − | 0.201093i | ||||
\(921\) | 9.38327 | + | 5.87003i | 0.309189 | + | 0.193424i | ||||
\(922\) | −6.69670 | − | 3.10481i | −0.220544 | − | 0.102251i | ||||
\(923\) | −0.207910 | + | 0.207910i | −0.00684346 | + | 0.00684346i | ||||
\(924\) | 18.9561 | − | 49.4844i | 0.623610 | − | 1.62792i | ||||
\(925\) | 32.7415 | + | 32.7415i | 1.07654 | + | 1.07654i | ||||
\(926\) | −3.01208 | + | 1.10382i | −0.0989831 | + | 0.0362736i | ||||
\(927\) | 3.61724 | − | 50.9756i | 0.118806 | − | 1.67426i | ||||
\(928\) | −13.1777 | − | 9.01280i | −0.432580 | − | 0.295860i | ||||
\(929\) | −16.0903 | + | 27.8693i | −0.527906 | + | 0.914361i | 0.471564 | + | 0.881832i | \(0.343690\pi\) |
−0.999471 | + | 0.0325291i | \(0.989644\pi\) | |||||||
\(930\) | −2.23781 | + | 10.6160i | −0.0733806 | + | 0.348112i | ||||
\(931\) | 9.11887 | + | 2.16672i | 0.298859 | + | 0.0710114i | ||||
\(932\) | −8.50639 | − | 47.0314i | −0.278636 | − | 1.54056i | ||||
\(933\) | −16.2554 | − | 17.4498i | −0.532179 | − | 0.571280i | ||||
\(934\) | 3.83204 | − | 2.69581i | 0.125388 | − | 0.0882095i | ||||
\(935\) | −8.74138 | − | 15.1405i | −0.285874 | − | 0.495148i | ||||
\(936\) | −0.984220 | − | 1.11956i | −0.0321702 | − | 0.0365939i | ||||
\(937\) | 18.1655 | 0.593440 | 0.296720 | − | 0.954965i | \(-0.404107\pi\) | ||||
0.296720 | + | 0.954965i | \(0.404107\pi\) | |||||||
\(938\) | −6.90383 | − | 9.52223i | −0.225418 | − | 0.310912i | ||||
\(939\) | 15.9255 | + | 4.87787i | 0.519709 | + | 0.159183i | ||||
\(940\) | 18.4386 | − | 8.69702i | 0.601402 | − | 0.283666i | ||||
\(941\) | −6.28017 | + | 23.4379i | −0.204728 | + | 0.764055i | 0.784805 | + | 0.619743i | \(0.212763\pi\) |
−0.989532 | + | 0.144311i | \(0.953903\pi\) | |||||||
\(942\) | 1.72495 | + | 5.27857i | 0.0562020 | + | 0.171985i | ||||
\(943\) | 23.7895 | + | 13.7349i | 0.774692 | + | 0.447269i | ||||
\(944\) | 13.5165 | − | 29.6649i | 0.439925 | − | 0.965510i | ||||
\(945\) | 1.09453 | − | 11.8630i | 0.0356051 | − | 0.385904i | ||||
\(946\) | −40.2143 | − | 33.5934i | −1.30748 | − | 1.09221i | ||||
\(947\) | 10.6983 | + | 39.9267i | 0.347649 | + | 1.29744i | 0.889487 | + | 0.456960i | \(0.151062\pi\) |
−0.541839 | + | 0.840483i | \(0.682272\pi\) | |||||||
\(948\) | −7.50737 | + | 3.22117i | −0.243828 | + | 0.104619i | ||||
\(949\) | 1.84580 | + | 0.494580i | 0.0599171 | + | 0.0160547i | ||||
\(950\) | 7.29955 | + | 3.38431i | 0.236829 | + | 0.109801i | ||||
\(951\) | 21.8092 | − | 11.5818i | 0.707212 | − | 0.375565i | ||||
\(952\) | −22.3363 | + | 13.5247i | −0.723924 | + | 0.438338i | ||||
\(953\) | 8.31415 | 0.269322 | 0.134661 | − | 0.990892i | \(-0.457005\pi\) | ||||
0.134661 | + | 0.990892i | \(0.457005\pi\) | |||||||
\(954\) | −13.9530 | − | 23.1601i | −0.451744 | − | 0.749837i | ||||
\(955\) | −3.27944 | + | 12.2390i | −0.106120 | + | 0.396046i | ||||
\(956\) | 5.92169 | + | 6.99448i | 0.191521 | + | 0.226218i | ||||
\(957\) | 20.6801 | − | 19.2647i | 0.668493 | − | 0.622738i | ||||
\(958\) | −23.7707 | − | 19.8571i | −0.767997 | − | 0.641552i | ||||
\(959\) | −23.7305 | − | 13.2533i | −0.766299 | − | 0.427973i | ||||
\(960\) | 10.2629 | + | 6.23339i | 0.331233 | + | 0.201182i | ||||
\(961\) | −2.43793 | + | 4.22262i | −0.0786429 | + | 0.136214i | ||||
\(962\) | −2.66730 | − | 0.464270i | −0.0859971 | − | 0.0149687i | ||||
\(963\) | −0.575757 | + | 0.499459i | −0.0185535 | + | 0.0160949i | ||||
\(964\) | −19.9728 | + | 55.6351i | −0.643280 | + | 1.79188i | ||||
\(965\) | −5.07480 | + | 5.07480i | −0.163364 | + | 0.163364i | ||||
\(966\) | 18.8039 | − | 12.6422i | 0.605007 | − | 0.406755i | ||||
\(967\) | 44.0766i | 1.41741i | 0.705506 | + | 0.708704i | \(0.250720\pi\) | ||||
−0.705506 | + | 0.708704i | \(0.749280\pi\) | |||||||
\(968\) | −54.7291 | + | 32.0812i | −1.75906 | + | 1.03113i | ||||
\(969\) | −6.86047 | − | 4.29181i | −0.220390 | − | 0.137873i | ||||
\(970\) | 5.89929 | − | 4.15009i | 0.189415 | − | 0.133251i | ||||
\(971\) | −7.49863 | − | 27.9853i | −0.240643 | − | 0.898091i | −0.975524 | − | 0.219895i | \(-0.929429\pi\) |
0.734881 | − | 0.678196i | \(-0.237238\pi\) | |||||||
\(972\) | −30.0998 | + | 8.12423i | −0.965451 | + | 0.260585i | ||||
\(973\) | −17.3827 | − | 4.39303i | −0.557263 | − | 0.140834i | ||||
\(974\) | −1.86435 | + | 2.23180i | −0.0597376 | + | 0.0715114i | ||||
\(975\) | 1.29210 | + | 0.0457862i | 0.0413803 | + | 0.00146633i | ||||
\(976\) | 6.82476 | − | 0.657642i | 0.218455 | − | 0.0210506i | ||||
\(977\) | −41.5372 | + | 23.9815i | −1.32889 | + | 0.767237i | −0.985129 | − | 0.171819i | \(-0.945036\pi\) |
−0.343765 | + | 0.939056i | \(0.611702\pi\) | |||||||
\(978\) | 36.6074 | + | 32.8499i | 1.17058 | + | 1.05042i | ||||
\(979\) | −32.6268 | + | 32.6268i | −1.04276 | + | 1.04276i | ||||
\(980\) | −10.8206 | + | 5.48629i | −0.345653 | + | 0.175253i | ||||
\(981\) | 5.76223 | + | 29.8077i | 0.183974 | + | 0.951687i | ||||
\(982\) | −23.0723 | − | 10.6971i | −0.736266 | − | 0.341357i | ||||
\(983\) | −29.2508 | + | 16.8879i | −0.932955 | + | 0.538642i | −0.887745 | − | 0.460336i | \(-0.847729\pi\) |
−0.0452101 | + | 0.998978i | \(0.514396\pi\) | |||||||
\(984\) | −11.0293 | + | 36.8763i | −0.351602 | + | 1.17557i | ||||
\(985\) | 0.106881 | − | 0.185124i | 0.00340552 | − | 0.00589853i | ||||
\(986\) | −13.8712 | + | 1.24432i | −0.441748 | + | 0.0396272i | ||||
\(987\) | 52.3511 | − | 12.8466i | 1.66635 | − | 0.408910i | ||||
\(988\) | −0.462940 | + | 0.0837303i | −0.0147281 | + | 0.00266382i | ||||
\(989\) | −5.79902 | − | 21.6423i | −0.184398 | − | 0.688184i | ||||
\(990\) | −14.7485 | + | 15.3083i | −0.468737 | + | 0.486530i | ||||
\(991\) | 9.81671 | + | 17.0030i | 0.311838 | + | 0.540119i | 0.978760 | − | 0.205008i | \(-0.0657221\pi\) |
−0.666922 | + | 0.745127i | \(0.732389\pi\) | |||||||
\(992\) | −18.8275 | − | 21.9431i | −0.597774 | − | 0.696693i | ||||
\(993\) | −55.0571 | + | 29.2381i | −1.74718 | + | 0.927843i | ||||
\(994\) | 3.94589 | − | 4.86286i | 0.125156 | − | 0.154241i | ||||
\(995\) | 9.54494 | − | 9.54494i | 0.302595 | − | 0.302595i | ||||
\(996\) | 2.14310 | + | 14.8307i | 0.0679067 | + | 0.469927i | ||||
\(997\) | −10.1300 | + | 37.8056i | −0.320820 | + | 1.19732i | 0.597628 | + | 0.801774i | \(0.296110\pi\) |
−0.918448 | + | 0.395543i | \(0.870557\pi\) | |||||||
\(998\) | 40.1262 | − | 28.2284i | 1.27017 | − | 0.893555i | ||||
\(999\) | −33.3536 | + | 45.7587i | −1.05526 | + | 1.44774i |
(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 | 336.2.bo.a.173.54 | yes | 240 | |
3.2 | odd | 2 | inner | 336.2.bo.a.173.7 | yes | 240 | |
7.3 | odd | 6 | inner | 336.2.bo.a.269.27 | yes | 240 | |
16.5 | even | 4 | inner | 336.2.bo.a.5.34 | yes | 240 | |
21.17 | even | 6 | inner | 336.2.bo.a.269.34 | yes | 240 | |
48.5 | odd | 4 | inner | 336.2.bo.a.5.27 | ✓ | 240 | |
112.101 | odd | 12 | inner | 336.2.bo.a.101.7 | yes | 240 | |
336.101 | even | 12 | inner | 336.2.bo.a.101.54 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bo.a.5.27 | ✓ | 240 | 48.5 | odd | 4 | inner | |
336.2.bo.a.5.34 | yes | 240 | 16.5 | even | 4 | inner | |
336.2.bo.a.101.7 | yes | 240 | 112.101 | odd | 12 | inner | |
336.2.bo.a.101.54 | yes | 240 | 336.101 | even | 12 | inner | |
336.2.bo.a.173.7 | yes | 240 | 3.2 | odd | 2 | inner | |
336.2.bo.a.173.54 | yes | 240 | 1.1 | even | 1 | trivial | |
336.2.bo.a.269.27 | yes | 240 | 7.3 | odd | 6 | inner | |
336.2.bo.a.269.34 | yes | 240 | 21.17 | even | 6 | inner |