Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 139.8 | ||
Character | \(\chi\) | \(=\) | 588.139 |
Dual form | 588.2.x.a.55.8 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.977782 | − | 1.02174i | −0.691396 | − | 0.722476i | ||||
\(3\) | −0.900969 | + | 0.433884i | −0.520175 | + | 0.250503i | ||||
\(4\) | −0.0878851 | + | 1.99807i | −0.0439425 | + | 0.999034i | ||||
\(5\) | −1.73990 | − | 3.61294i | −0.778106 | − | 1.61575i | −0.787901 | − | 0.615802i | \(-0.788832\pi\) |
0.00979453 | − | 0.999952i | \(-0.496882\pi\) | |||||||
\(6\) | 1.32427 | + | 0.496308i | 0.540629 | + | 0.202617i | ||||
\(7\) | −2.50782 | + | 0.843102i | −0.947868 | + | 0.318663i | ||||
\(8\) | 2.12743 | − | 1.86388i | 0.752160 | − | 0.658981i | ||||
\(9\) | 0.623490 | − | 0.781831i | 0.207830 | − | 0.260610i | ||||
\(10\) | −1.99022 | + | 5.31038i | −0.629364 | + | 1.67929i | ||||
\(11\) | −1.92041 | + | 1.53148i | −0.579025 | + | 0.461757i | −0.868680 | − | 0.495374i | \(-0.835031\pi\) |
0.289654 | + | 0.957131i | \(0.406460\pi\) | |||||||
\(12\) | −0.787748 | − | 1.83833i | −0.227403 | − | 0.530680i | ||||
\(13\) | −0.242677 | + | 0.193528i | −0.0673064 | + | 0.0536750i | −0.656565 | − | 0.754269i | \(-0.727991\pi\) |
0.589259 | + | 0.807944i | \(0.299420\pi\) | |||||||
\(14\) | 3.31353 | + | 1.73796i | 0.885579 | + | 0.464490i | ||||
\(15\) | 3.13519 | + | 2.50023i | 0.809502 | + | 0.645556i | ||||
\(16\) | −3.98455 | − | 0.351201i | −0.996138 | − | 0.0878002i | ||||
\(17\) | 1.58371 | − | 0.361471i | 0.384106 | − | 0.0876696i | −0.0261079 | − | 0.999659i | \(-0.508311\pi\) |
0.410213 | + | 0.911990i | \(0.365454\pi\) | |||||||
\(18\) | −1.40846 | + | 0.127419i | −0.331978 | + | 0.0300330i | ||||
\(19\) | −1.42748 | −0.327486 | −0.163743 | − | 0.986503i | \(-0.552357\pi\) | ||||
−0.163743 | + | 0.986503i | \(0.552357\pi\) | |||||||
\(20\) | 7.37180 | − | 3.15891i | 1.64839 | − | 0.706354i | ||||
\(21\) | 1.89366 | − | 1.84771i | 0.413231 | − | 0.403204i | ||||
\(22\) | 3.44250 | + | 0.464701i | 0.733944 | + | 0.0990745i | ||||
\(23\) | 1.88313 | + | 0.429812i | 0.392660 | + | 0.0896220i | 0.414292 | − | 0.910144i | \(-0.364029\pi\) |
−0.0216324 | + | 0.999766i | \(0.506886\pi\) | |||||||
\(24\) | −1.10804 | + | 2.60235i | −0.226178 | + | 0.531203i | ||||
\(25\) | −6.90861 | + | 8.66313i | −1.38172 | + | 1.73263i | ||||
\(26\) | 0.435019 | + | 0.0587229i | 0.0853143 | + | 0.0115165i | ||||
\(27\) | −0.222521 | + | 0.974928i | −0.0428242 | + | 0.187625i | ||||
\(28\) | −1.46418 | − | 5.08490i | −0.276703 | − | 0.960955i | ||||
\(29\) | −0.713952 | − | 3.12803i | −0.132578 | − | 0.580861i | −0.996952 | − | 0.0780124i | \(-0.975143\pi\) |
0.864375 | − | 0.502848i | \(-0.167715\pi\) | |||||||
\(30\) | −0.510959 | − | 5.64801i | −0.0932878 | − | 1.03118i | ||||
\(31\) | 8.67188 | 1.55752 | 0.778758 | − | 0.627325i | \(-0.215850\pi\) | ||||
0.778758 | + | 0.627325i | \(0.215850\pi\) | |||||||
\(32\) | 3.53719 | + | 4.41455i | 0.625293 | + | 0.780390i | ||||
\(33\) | 1.06575 | − | 2.21305i | 0.185523 | − | 0.385242i | ||||
\(34\) | −1.91785 | − | 1.26469i | −0.328908 | − | 0.216893i | ||||
\(35\) | 7.40943 | + | 7.59369i | 1.25242 | + | 1.28357i | ||||
\(36\) | 1.50736 | + | 1.31449i | 0.251226 | + | 0.219081i | ||||
\(37\) | 1.67306 | + | 7.33014i | 0.275049 | + | 1.20507i | 0.903969 | + | 0.427598i | \(0.140640\pi\) |
−0.628920 | + | 0.777470i | \(0.716503\pi\) | |||||||
\(38\) | 1.39576 | + | 1.45850i | 0.226422 | + | 0.236600i | ||||
\(39\) | 0.134675 | − | 0.279656i | 0.0215653 | − | 0.0447808i | ||||
\(40\) | −10.4356 | − | 4.44330i | −1.65001 | − | 0.702548i | ||||
\(41\) | −0.338961 | − | 0.703860i | −0.0529368 | − | 0.109924i | 0.872822 | − | 0.488038i | \(-0.162287\pi\) |
−0.925759 | + | 0.378113i | \(0.876573\pi\) | |||||||
\(42\) | −3.73946 | − | 0.128162i | −0.577011 | − | 0.0197758i | ||||
\(43\) | −4.37580 | + | 9.08645i | −0.667304 | + | 1.38567i | 0.242303 | + | 0.970201i | \(0.422097\pi\) |
−0.909607 | + | 0.415470i | \(0.863617\pi\) | |||||||
\(44\) | −2.89122 | − | 3.97170i | −0.435867 | − | 0.598757i | ||||
\(45\) | −3.90952 | − | 0.892322i | −0.582796 | − | 0.133019i | ||||
\(46\) | −1.40214 | − | 2.34432i | −0.206734 | − | 0.345651i | ||||
\(47\) | 8.25121 | + | 10.3467i | 1.20356 | + | 1.50922i | 0.806291 | + | 0.591519i | \(0.201471\pi\) |
0.397271 | + | 0.917701i | \(0.369957\pi\) | |||||||
\(48\) | 3.74234 | − | 1.41241i | 0.540160 | − | 0.203864i | ||||
\(49\) | 5.57836 | − | 4.22870i | 0.796908 | − | 0.604100i | ||||
\(50\) | 15.6065 | − | 1.41188i | 2.20710 | − | 0.199669i | ||||
\(51\) | −1.27003 | + | 1.01282i | −0.177840 | + | 0.141823i | ||||
\(52\) | −0.365355 | − | 0.501893i | −0.0506656 | − | 0.0696000i | ||||
\(53\) | −2.88505 | + | 12.6402i | −0.396292 | + | 1.73627i | 0.245508 | + | 0.969395i | \(0.421045\pi\) |
−0.641800 | + | 0.766872i | \(0.721812\pi\) | |||||||
\(54\) | 1.21369 | − | 0.725909i | 0.165163 | − | 0.0987838i | ||||
\(55\) | 8.87444 | + | 4.27371i | 1.19663 | + | 0.576266i | ||||
\(56\) | −3.76377 | + | 6.46792i | −0.502956 | + | 0.864312i | ||||
\(57\) | 1.28611 | − | 0.619359i | 0.170350 | − | 0.0820361i | ||||
\(58\) | −2.49793 | + | 3.78800i | −0.327994 | + | 0.497389i | ||||
\(59\) | −7.46010 | − | 3.59259i | −0.971222 | − | 0.467716i | −0.120145 | − | 0.992756i | \(-0.538336\pi\) |
−0.851077 | + | 0.525041i | \(0.824050\pi\) | |||||||
\(60\) | −5.27117 | + | 6.04459i | −0.680504 | + | 0.780353i | ||||
\(61\) | 5.94700 | − | 1.35736i | 0.761435 | − | 0.173793i | 0.175865 | − | 0.984414i | \(-0.443728\pi\) |
0.585570 | + | 0.810622i | \(0.300871\pi\) | |||||||
\(62\) | −8.47920 | − | 8.86036i | −1.07686 | − | 1.12527i | ||||
\(63\) | −0.904439 | + | 2.48636i | −0.113949 | + | 0.313252i | ||||
\(64\) | 1.05191 | − | 7.93054i | 0.131488 | − | 0.991318i | ||||
\(65\) | 1.12144 | + | 0.540056i | 0.139097 | + | 0.0669857i | ||||
\(66\) | −3.30322 | + | 1.07497i | −0.406598 | + | 0.132319i | ||||
\(67\) | − | 6.08092i | − | 0.742902i | −0.928453 | − | 0.371451i | \(-0.878860\pi\) | ||
0.928453 | − | 0.371451i | \(-0.121140\pi\) | |||||||
\(68\) | 0.583059 | + | 3.19612i | 0.0707063 | + | 0.387587i | ||||
\(69\) | −1.88313 | + | 0.429812i | −0.226702 | + | 0.0517433i | ||||
\(70\) | 0.513935 | − | 14.9955i | 0.0614270 | − | 1.79230i | ||||
\(71\) | 0.983366 | + | 0.224447i | 0.116704 | + | 0.0266370i | 0.280474 | − | 0.959862i | \(-0.409508\pi\) |
−0.163770 | + | 0.986499i | \(0.552365\pi\) | |||||||
\(72\) | −0.130810 | − | 2.82540i | −0.0154161 | − | 0.332977i | ||||
\(73\) | −5.64424 | − | 4.50113i | −0.660609 | − | 0.526818i | 0.234811 | − | 0.972041i | \(-0.424553\pi\) |
−0.895420 | + | 0.445223i | \(0.853124\pi\) | |||||||
\(74\) | 5.85358 | − | 8.87670i | 0.680464 | − | 1.03190i | ||||
\(75\) | 2.46566 | − | 10.8027i | 0.284709 | − | 1.24739i | ||||
\(76\) | 0.125454 | − | 2.85220i | 0.0143905 | − | 0.327169i | ||||
\(77\) | 3.52486 | − | 5.45977i | 0.401695 | − | 0.622199i | ||||
\(78\) | −0.417418 | + | 0.135840i | −0.0472632 | + | 0.0153809i | ||||
\(79\) | − | 0.238695i | − | 0.0268553i | −0.999910 | − | 0.0134277i | \(-0.995726\pi\) | ||
0.999910 | − | 0.0134277i | \(-0.00427429\pi\) | |||||||
\(80\) | 5.66385 | + | 15.0070i | 0.633238 | + | 1.67783i | ||||
\(81\) | −0.222521 | − | 0.974928i | −0.0247245 | − | 0.108325i | ||||
\(82\) | −0.387728 | + | 1.03455i | −0.0428174 | + | 0.114247i | ||||
\(83\) | 0.444225 | − | 0.557040i | 0.0487600 | − | 0.0611431i | −0.756854 | − | 0.653585i | \(-0.773264\pi\) |
0.805614 | + | 0.592441i | \(0.201836\pi\) | |||||||
\(84\) | 3.52543 | + | 3.94605i | 0.384656 | + | 0.430550i | ||||
\(85\) | −4.06146 | − | 5.09291i | −0.440527 | − | 0.552404i | ||||
\(86\) | 13.5625 | − | 4.41365i | 1.46248 | − | 0.475937i | ||||
\(87\) | 2.00045 | + | 2.50849i | 0.214471 | + | 0.268938i | ||||
\(88\) | −1.23105 | + | 6.83752i | −0.131230 | + | 0.728882i | ||||
\(89\) | 6.14285 | + | 4.89876i | 0.651141 | + | 0.519268i | 0.892430 | − | 0.451186i | \(-0.148999\pi\) |
−0.241289 | + | 0.970453i | \(0.577570\pi\) | |||||||
\(90\) | 2.91094 | + | 4.86699i | 0.306840 | + | 0.513025i | ||||
\(91\) | 0.445426 | − | 0.689935i | 0.0466933 | − | 0.0723249i | ||||
\(92\) | −1.02429 | + | 3.72485i | −0.106790 | + | 0.388342i | ||||
\(93\) | −7.81309 | + | 3.76259i | −0.810180 | + | 0.390162i | ||||
\(94\) | 2.50369 | − | 18.5474i | 0.258236 | − | 1.91301i | ||||
\(95\) | 2.48366 | + | 5.15738i | 0.254819 | + | 0.529136i | ||||
\(96\) | −5.10230 | − | 2.44265i | −0.520751 | − | 0.249302i | ||||
\(97\) | 11.4209i | 1.15961i | 0.814754 | + | 0.579807i | \(0.196872\pi\) | ||||
−0.814754 | + | 0.579807i | \(0.803128\pi\) | |||||||
\(98\) | −9.77503 | − | 1.56485i | −0.987427 | − | 0.158074i | ||||
\(99\) | 2.45630i | 0.246867i | ||||||||
\(100\) | −16.7024 | − | 14.5652i | −1.67024 | − | 1.45652i | ||||
\(101\) | −5.62532 | − | 11.6811i | −0.559740 | − | 1.16231i | −0.968348 | − | 0.249602i | \(-0.919700\pi\) |
0.408608 | − | 0.912710i | \(-0.366014\pi\) | |||||||
\(102\) | 2.27665 | + | 0.307323i | 0.225422 | + | 0.0304295i | ||||
\(103\) | −11.8653 | + | 5.71403i | −1.16912 | + | 0.563020i | −0.914724 | − | 0.404080i | \(-0.867592\pi\) |
−0.254399 | + | 0.967099i | \(0.581878\pi\) | |||||||
\(104\) | −0.155564 | + | 0.864037i | −0.0152543 | + | 0.0847258i | ||||
\(105\) | −9.97045 | − | 3.62685i | −0.973016 | − | 0.353944i | ||||
\(106\) | 15.7359 | − | 9.41162i | 1.52841 | − | 0.914137i | ||||
\(107\) | −13.8868 | − | 11.0744i | −1.34249 | − | 1.07060i | −0.990922 | − | 0.134436i | \(-0.957078\pi\) |
−0.351567 | − | 0.936163i | \(-0.614351\pi\) | |||||||
\(108\) | −1.92842 | − | 0.530294i | −0.185562 | − | 0.0510275i | ||||
\(109\) | 6.29295 | + | 7.89110i | 0.602755 | + | 0.755831i | 0.985805 | − | 0.167897i | \(-0.0536976\pi\) |
−0.383050 | + | 0.923728i | \(0.625126\pi\) | |||||||
\(110\) | −4.31067 | − | 13.2461i | −0.411007 | − | 1.26296i | ||||
\(111\) | −4.68780 | − | 5.87832i | −0.444946 | − | 0.557945i | ||||
\(112\) | 10.2887 | − | 2.47864i | 0.972186 | − | 0.234209i | ||||
\(113\) | 3.58841 | − | 4.49973i | 0.337569 | − | 0.423299i | −0.583854 | − | 0.811859i | \(-0.698456\pi\) |
0.921423 | + | 0.388560i | \(0.127027\pi\) | |||||||
\(114\) | −1.89036 | − | 0.708468i | −0.177048 | − | 0.0663541i | ||||
\(115\) | −1.72357 | − | 7.55146i | −0.160724 | − | 0.704177i | ||||
\(116\) | 6.31276 | − | 1.15162i | 0.586125 | − | 0.106925i | ||||
\(117\) | 0.310395i | 0.0286960i | ||||||||
\(118\) | 3.62367 | + | 11.1350i | 0.333586 | + | 1.02506i | ||||
\(119\) | −3.66690 | + | 2.24173i | −0.336144 | + | 0.205499i | ||||
\(120\) | 11.3300 | − | 0.524554i | 1.03428 | − | 0.0478850i | ||||
\(121\) | −1.10517 | + | 4.84208i | −0.100470 | + | 0.440189i | ||||
\(122\) | −7.20173 | − | 4.74905i | −0.652014 | − | 0.429959i | ||||
\(123\) | 0.610787 | + | 0.487086i | 0.0550728 | + | 0.0439191i | ||||
\(124\) | −0.762129 | + | 17.3270i | −0.0684412 | + | 1.55601i | ||||
\(125\) | 23.7720 | + | 5.42581i | 2.12624 | + | 0.485299i | ||||
\(126\) | 3.42475 | − | 1.50702i | 0.305101 | − | 0.134256i | ||||
\(127\) | −2.78399 | + | 0.635427i | −0.247039 | + | 0.0563850i | −0.344247 | − | 0.938879i | \(-0.611866\pi\) |
0.0972083 | + | 0.995264i | \(0.469009\pi\) | |||||||
\(128\) | −9.13145 | + | 6.67957i | −0.807114 | + | 0.590396i | ||||
\(129\) | − | 10.0852i | − | 0.887952i | ||||||
\(130\) | −0.544727 | − | 1.67387i | −0.0477757 | − | 0.146808i | ||||
\(131\) | −6.09532 | − | 2.93535i | −0.532551 | − | 0.256463i | 0.148226 | − | 0.988953i | \(-0.452644\pi\) |
−0.680777 | + | 0.732490i | \(0.738358\pi\) | |||||||
\(132\) | 4.32815 | + | 2.32393i | 0.376718 | + | 0.202272i | ||||
\(133\) | 3.57986 | − | 1.20351i | 0.310413 | − | 0.104357i | ||||
\(134\) | −6.21309 | + | 5.94581i | −0.536729 | + | 0.513640i | ||||
\(135\) | 3.90952 | − | 0.892322i | 0.336478 | − | 0.0767988i | ||||
\(136\) | 2.69549 | − | 3.72084i | 0.231136 | − | 0.319060i | ||||
\(137\) | −10.6423 | − | 5.12507i | −0.909234 | − | 0.437864i | −0.0800187 | − | 0.996793i | \(-0.525498\pi\) |
−0.829215 | + | 0.558929i | \(0.811212\pi\) | |||||||
\(138\) | 2.28044 | + | 1.50380i | 0.194124 | + | 0.128012i | ||||
\(139\) | −13.3669 | + | 6.43717i | −1.13377 | + | 0.545993i | −0.904119 | − | 0.427281i | \(-0.859472\pi\) |
−0.229648 | + | 0.973274i | \(0.573757\pi\) | |||||||
\(140\) | −15.8239 | + | 14.1372i | −1.33736 | + | 1.19481i | ||||
\(141\) | −11.9233 | − | 5.74198i | −1.00413 | − | 0.483562i | ||||
\(142\) | −0.732192 | − | 1.22420i | −0.0614442 | − | 0.102733i | ||||
\(143\) | 0.169655 | − | 0.743307i | 0.0141873 | − | 0.0621584i | ||||
\(144\) | −2.75891 | + | 2.89628i | −0.229909 | + | 0.241357i | ||||
\(145\) | −10.0592 | + | 8.02192i | −0.835369 | + | 0.666184i | ||||
\(146\) | 0.919873 | + | 10.1681i | 0.0761292 | + | 0.841514i | ||||
\(147\) | −3.19116 | + | 6.23029i | −0.263203 | + | 0.513865i | ||||
\(148\) | −14.7932 | + | 2.69867i | −1.21599 | + | 0.221829i | ||||
\(149\) | 4.61083 | + | 5.78180i | 0.377734 | + | 0.473664i | 0.933965 | − | 0.357364i | \(-0.116324\pi\) |
−0.556231 | + | 0.831028i | \(0.687753\pi\) | |||||||
\(150\) | −13.4484 | + | 8.04348i | −1.09806 | + | 0.656747i | ||||
\(151\) | 4.54522 | + | 1.03742i | 0.369885 | + | 0.0844238i | 0.403423 | − | 0.915014i | \(-0.367820\pi\) |
−0.0335381 | + | 0.999437i | \(0.510678\pi\) | |||||||
\(152\) | −3.03685 | + | 2.66064i | −0.246321 | + | 0.215807i | ||||
\(153\) | 0.704816 | − | 1.46357i | 0.0569810 | − | 0.118322i | ||||
\(154\) | −9.02498 | + | 1.73700i | −0.727254 | + | 0.139971i | ||||
\(155\) | −15.0882 | − | 31.3309i | −1.21191 | − | 2.51656i | ||||
\(156\) | 0.546936 | + | 0.293668i | 0.0437899 | + | 0.0235123i | ||||
\(157\) | 8.25140 | − | 17.1342i | 0.658533 | − | 1.36746i | −0.257470 | − | 0.966286i | \(-0.582889\pi\) |
0.916003 | − | 0.401172i | \(-0.131397\pi\) | |||||||
\(158\) | −0.243884 | + | 0.233392i | −0.0194023 | + | 0.0185677i | ||||
\(159\) | −2.88505 | − | 12.6402i | −0.228799 | − | 1.00243i | ||||
\(160\) | 9.79515 | − | 20.4605i | 0.774375 | − | 1.61755i | ||||
\(161\) | −5.08493 | + | 0.509778i | −0.400749 | + | 0.0401761i | ||||
\(162\) | −0.778541 | + | 1.18062i | −0.0611680 | + | 0.0927586i | ||||
\(163\) | −8.58643 | + | 17.8299i | −0.672541 | + | 1.39655i | 0.233080 | + | 0.972458i | \(0.425120\pi\) |
−0.905621 | + | 0.424088i | \(0.860595\pi\) | |||||||
\(164\) | 1.43615 | − | 0.615408i | 0.112144 | − | 0.0480553i | ||||
\(165\) | −9.84989 | −0.766813 | ||||||||
\(166\) | −1.00350 | + | 0.0907839i | −0.0778869 | + | 0.00704619i | ||||
\(167\) | 3.53936 | + | 15.5069i | 0.273884 | + | 1.19996i | 0.905386 | + | 0.424589i | \(0.139581\pi\) |
−0.631503 | + | 0.775374i | \(0.717561\pi\) | |||||||
\(168\) | 0.584718 | − | 7.46044i | 0.0451120 | − | 0.575585i | ||||
\(169\) | −2.87133 | + | 12.5801i | −0.220872 | + | 0.967703i | ||||
\(170\) | −1.23238 | + | 9.12950i | −0.0945195 | + | 0.700200i | ||||
\(171\) | −0.890017 | + | 1.11605i | −0.0680613 | + | 0.0853462i | ||||
\(172\) | −17.7708 | − | 9.54172i | −1.35501 | − | 0.727549i | ||||
\(173\) | 4.54378 | + | 1.03709i | 0.345457 | + | 0.0788483i | 0.391729 | − | 0.920081i | \(-0.371877\pi\) |
−0.0462722 | + | 0.998929i | \(0.514734\pi\) | |||||||
\(174\) | 0.607003 | − | 4.49668i | 0.0460168 | − | 0.340893i | ||||
\(175\) | 10.0217 | − | 27.5503i | 0.757568 | − | 2.08260i | ||||
\(176\) | 8.18983 | − | 5.42780i | 0.617332 | − | 0.409136i | ||||
\(177\) | 8.28008 | 0.622369 | ||||||||
\(178\) | −1.00113 | − | 11.0663i | −0.0750382 | − | 0.829454i | ||||
\(179\) | −21.7558 | + | 4.96563i | −1.62611 | + | 0.371148i | −0.935845 | − | 0.352411i | \(-0.885362\pi\) |
−0.690262 | + | 0.723559i | \(0.742505\pi\) | |||||||
\(180\) | 2.12651 | − | 7.73306i | 0.158501 | − | 0.576388i | ||||
\(181\) | 9.90551 | + | 7.89938i | 0.736271 | + | 0.587157i | 0.918182 | − | 0.396158i | \(-0.129657\pi\) |
−0.181911 | + | 0.983315i | \(0.558228\pi\) | |||||||
\(182\) | −1.14046 | + | 0.219499i | −0.0845366 | + | 0.0162703i | ||||
\(183\) | −4.76912 | + | 3.80325i | −0.352544 | + | 0.281144i | ||||
\(184\) | 4.80734 | − | 2.59553i | 0.354402 | − | 0.191345i | ||||
\(185\) | 23.5724 | − | 18.7983i | 1.73308 | − | 1.38208i | ||||
\(186\) | 11.4839 | + | 4.30392i | 0.842038 | + | 0.315579i | ||||
\(187\) | −2.48778 | + | 3.11958i | −0.181925 | + | 0.228126i | ||||
\(188\) | −21.3985 | + | 15.5772i | −1.56065 | + | 1.13608i | ||||
\(189\) | −0.263921 | − | 2.63256i | −0.0191974 | − | 0.191490i | ||||
\(190\) | 2.84100 | − | 7.58044i | 0.206108 | − | 0.549943i | ||||
\(191\) | −4.06851 | − | 8.44835i | −0.294387 | − | 0.611301i | 0.700346 | − | 0.713804i | \(-0.253029\pi\) |
−0.994733 | + | 0.102503i | \(0.967315\pi\) | |||||||
\(192\) | 2.49320 | + | 7.60158i | 0.179931 | + | 0.548596i | ||||
\(193\) | 1.83402 | − | 0.883216i | 0.132015 | − | 0.0635752i | −0.366710 | − | 0.930335i | \(-0.619516\pi\) |
0.498725 | + | 0.866760i | \(0.333802\pi\) | |||||||
\(194\) | 11.6691 | − | 11.1671i | 0.837793 | − | 0.801753i | ||||
\(195\) | −1.24470 | −0.0891349 | ||||||||
\(196\) | 7.95898 | + | 11.5176i | 0.568499 | + | 0.822684i | ||||
\(197\) | −10.1400 | −0.722445 | −0.361223 | − | 0.932480i | \(-0.617641\pi\) | ||||
−0.361223 | + | 0.932480i | \(0.617641\pi\) | |||||||
\(198\) | 2.50968 | − | 2.40172i | 0.178355 | − | 0.170683i | ||||
\(199\) | −13.6421 | + | 6.56970i | −0.967065 | + | 0.465714i | −0.849637 | − | 0.527367i | \(-0.823179\pi\) |
−0.117428 | + | 0.993081i | \(0.537465\pi\) | |||||||
\(200\) | 1.44944 | + | 31.3070i | 0.102491 | + | 2.21374i | ||||
\(201\) | 2.63841 | + | 5.47872i | 0.186099 | + | 0.386439i | ||||
\(202\) | −6.43465 | + | 17.1691i | −0.452740 | + | 1.20802i | ||||
\(203\) | 4.42772 | + | 7.24261i | 0.310765 | + | 0.508332i | ||||
\(204\) | −1.91206 | − | 2.62663i | −0.133871 | − | 0.183901i | ||||
\(205\) | −1.95324 | + | 2.44929i | −0.136420 | + | 0.171066i | ||||
\(206\) | 17.4399 | + | 6.53612i | 1.21509 | + | 0.455393i | ||||
\(207\) | 1.51015 | − | 1.20431i | 0.104963 | − | 0.0837051i | ||||
\(208\) | 1.03492 | − | 0.685895i | 0.0717591 | − | 0.0475582i | ||||
\(209\) | 2.74134 | − | 2.18615i | 0.189622 | − | 0.151219i | ||||
\(210\) | 6.04324 | + | 13.7334i | 0.417023 | + | 0.947696i | ||||
\(211\) | 18.9683 | + | 15.1267i | 1.30583 | + | 1.04137i | 0.995886 | + | 0.0906129i | \(0.0288826\pi\) |
0.309947 | + | 0.950754i | \(0.399689\pi\) | |||||||
\(212\) | −25.0025 | − | 6.87541i | −1.71718 | − | 0.472205i | ||||
\(213\) | −0.983366 | + | 0.224447i | −0.0673791 | + | 0.0153789i | ||||
\(214\) | 2.26321 | + | 25.0170i | 0.154710 | + | 1.71012i | ||||
\(215\) | 40.4422 | 2.75814 | ||||||||
\(216\) | 1.34375 | + | 2.48884i | 0.0914307 | + | 0.169344i | ||||
\(217\) | −21.7475 | + | 7.31128i | −1.47632 | + | 0.496322i | ||||
\(218\) | 1.90949 | − | 14.1455i | 0.129327 | − | 0.958054i | ||||
\(219\) | 7.03826 | + | 1.60644i | 0.475601 | + | 0.108553i | ||||
\(220\) | −9.31909 | + | 17.3561i | −0.628293 | + | 1.17015i | ||||
\(221\) | −0.314374 | + | 0.394212i | −0.0211471 | + | 0.0265176i | ||||
\(222\) | −1.42243 | + | 10.5374i | −0.0954676 | + | 0.707224i | ||||
\(223\) | 3.67471 | − | 16.1000i | 0.246077 | − | 1.07813i | −0.689299 | − | 0.724477i | \(-0.742081\pi\) |
0.935376 | − | 0.353656i | \(-0.115062\pi\) | |||||||
\(224\) | −12.5926 | − | 8.08871i | −0.841376 | − | 0.540450i | ||||
\(225\) | 2.46566 | + | 10.8027i | 0.164377 | + | 0.720183i | ||||
\(226\) | −8.10621 | + | 0.733345i | −0.539217 | + | 0.0487814i | ||||
\(227\) | 19.7568 | 1.31130 | 0.655652 | − | 0.755063i | \(-0.272394\pi\) | ||||
0.655652 | + | 0.755063i | \(0.272394\pi\) | |||||||
\(228\) | 1.12449 | + | 2.62417i | 0.0744712 | + | 0.173790i | ||||
\(229\) | 2.73774 | − | 5.68497i | 0.180915 | − | 0.375673i | −0.790714 | − | 0.612186i | \(-0.790290\pi\) |
0.971628 | + | 0.236513i | \(0.0760046\pi\) | |||||||
\(230\) | −6.03031 | + | 9.14471i | −0.397627 | + | 0.602984i | ||||
\(231\) | −0.806881 | + | 6.44846i | −0.0530889 | + | 0.424278i | ||||
\(232\) | −7.34915 | − | 5.32394i | −0.482496 | − | 0.349534i | ||||
\(233\) | −1.42205 | − | 6.23043i | −0.0931619 | − | 0.408169i | 0.906747 | − | 0.421675i | \(-0.138558\pi\) |
−0.999909 | + | 0.0135064i | \(0.995701\pi\) | |||||||
\(234\) | 0.317141 | − | 0.303499i | 0.0207322 | − | 0.0198403i | ||||
\(235\) | 23.0257 | − | 47.8133i | 1.50203 | − | 3.11899i | ||||
\(236\) | 7.83388 | − | 14.5900i | 0.509942 | − | 0.949731i | ||||
\(237\) | 0.103566 | + | 0.215057i | 0.00672734 | + | 0.0139695i | ||||
\(238\) | 5.87589 | + | 1.55468i | 0.380877 | + | 0.100775i | ||||
\(239\) | 9.10570 | − | 18.9082i | 0.588999 | − | 1.22307i | −0.367143 | − | 0.930164i | \(-0.619664\pi\) |
0.956142 | − | 0.292904i | \(-0.0946215\pi\) | |||||||
\(240\) | −11.6142 | − | 11.0634i | −0.749696 | − | 0.714138i | ||||
\(241\) | 24.3406 | + | 5.55558i | 1.56791 | + | 0.357866i | 0.916239 | − | 0.400632i | \(-0.131209\pi\) |
0.651676 | + | 0.758498i | \(0.274066\pi\) | |||||||
\(242\) | 6.02795 | − | 3.60531i | 0.387491 | − | 0.231758i | ||||
\(243\) | 0.623490 | + | 0.781831i | 0.0399969 | + | 0.0501545i | ||||
\(244\) | 2.18945 | + | 12.0018i | 0.140165 | + | 0.768336i | ||||
\(245\) | −24.9838 | − | 12.7967i | −1.59616 | − | 0.817554i | ||||
\(246\) | −0.0995432 | − | 1.10033i | −0.00634664 | − | 0.0701542i | ||||
\(247\) | 0.346415 | − | 0.276257i | 0.0220419 | − | 0.0175778i | ||||
\(248\) | 18.4488 | − | 16.1633i | 1.17150 | − | 1.02637i | ||||
\(249\) | −0.158542 | + | 0.694618i | −0.0100472 | + | 0.0440196i | ||||
\(250\) | −17.7001 | − | 29.5940i | −1.11945 | − | 1.87169i | ||||
\(251\) | 18.0922 | + | 8.71273i | 1.14197 | + | 0.549943i | 0.906611 | − | 0.421966i | \(-0.138660\pi\) |
0.235356 | + | 0.971909i | \(0.424374\pi\) | |||||||
\(252\) | −4.88843 | − | 2.02564i | −0.307942 | − | 0.127604i | ||||
\(253\) | −4.27463 | + | 2.05855i | −0.268743 | + | 0.129420i | ||||
\(254\) | 3.37137 | + | 2.22319i | 0.211539 | + | 0.139495i | ||||
\(255\) | 5.86898 | + | 2.82635i | 0.367530 | + | 0.176993i | ||||
\(256\) | 15.7533 | + | 2.79876i | 0.984582 | + | 0.174922i | ||||
\(257\) | −19.9692 | + | 4.55783i | −1.24564 | + | 0.284310i | −0.794016 | − | 0.607897i | \(-0.792013\pi\) |
−0.451627 | + | 0.892207i | \(0.649156\pi\) | |||||||
\(258\) | −10.3044 | + | 9.86112i | −0.641524 | + | 0.613927i | ||||
\(259\) | −10.3758 | − | 16.9721i | −0.644720 | − | 1.05460i | ||||
\(260\) | −1.17763 | + | 2.19325i | −0.0730333 | + | 0.136019i | ||||
\(261\) | −2.89073 | − | 1.39210i | −0.178932 | − | 0.0861691i | ||||
\(262\) | 2.96074 | + | 9.09794i | 0.182915 | + | 0.562073i | ||||
\(263\) | 25.2707i | 1.55826i | 0.626863 | + | 0.779129i | \(0.284339\pi\) | ||||
−0.626863 | + | 0.779129i | \(0.715661\pi\) | |||||||
\(264\) | −1.85755 | − | 6.69452i | −0.114324 | − | 0.412019i | ||||
\(265\) | 50.6880 | − | 11.5692i | 3.11374 | − | 0.710690i | ||||
\(266\) | −4.72999 | − | 2.48090i | −0.290014 | − | 0.152114i | ||||
\(267\) | −7.66001 | − | 1.74835i | −0.468785 | − | 0.106997i | ||||
\(268\) | 12.1501 | + | 0.534422i | 0.742185 | + | 0.0326450i | ||||
\(269\) | −0.630154 | − | 0.502531i | −0.0384212 | − | 0.0306399i | 0.604091 | − | 0.796915i | \(-0.293536\pi\) |
−0.642512 | + | 0.766276i | \(0.722108\pi\) | |||||||
\(270\) | −4.73437 | − | 3.12199i | −0.288125 | − | 0.189999i | ||||
\(271\) | 0.726522 | − | 3.18310i | 0.0441331 | − | 0.193360i | −0.948056 | − | 0.318104i | \(-0.896954\pi\) |
0.992189 | + | 0.124744i | \(0.0398111\pi\) | |||||||
\(272\) | −6.43731 | + | 0.884101i | −0.390320 | + | 0.0536065i | ||||
\(273\) | −0.101963 | + | 0.814874i | −0.00617110 | + | 0.0493184i | ||||
\(274\) | 5.16940 | + | 15.8848i | 0.312295 | + | 0.959637i | ||||
\(275\) | − | 27.2171i | − | 1.64125i | ||||||
\(276\) | −0.693295 | − | 3.80039i | −0.0417314 | − | 0.228757i | ||||
\(277\) | 0.236966 | + | 1.03822i | 0.0142379 | + | 0.0623804i | 0.981548 | − | 0.191217i | \(-0.0612434\pi\) |
−0.967310 | + | 0.253597i | \(0.918386\pi\) | |||||||
\(278\) | 19.6470 | + | 7.36330i | 1.17835 | + | 0.441621i | ||||
\(279\) | 5.40683 | − | 6.77995i | 0.323698 | − | 0.405905i | ||||
\(280\) | 29.9168 | + | 2.34475i | 1.78787 | + | 0.140126i | ||||
\(281\) | 7.29942 | + | 9.15318i | 0.435447 | + | 0.546033i | 0.950337 | − | 0.311223i | \(-0.100739\pi\) |
−0.514890 | + | 0.857256i | \(0.672167\pi\) | |||||||
\(282\) | 5.79165 | + | 17.7969i | 0.344888 | + | 1.05979i | ||||
\(283\) | −3.85859 | − | 4.83852i | −0.229370 | − | 0.287620i | 0.653807 | − | 0.756662i | \(-0.273171\pi\) |
−0.883176 | + | 0.469041i | \(0.844600\pi\) | |||||||
\(284\) | −0.534883 | + | 1.94511i | −0.0317395 | + | 0.115421i | ||||
\(285\) | −4.47541 | − | 3.56902i | −0.265100 | − | 0.211410i | ||||
\(286\) | −0.925348 | + | 0.553449i | −0.0547170 | + | 0.0327262i | ||||
\(287\) | 1.44348 | + | 1.47938i | 0.0852059 | + | 0.0873249i | ||||
\(288\) | 5.65684 | − | 0.0130561i | 0.333332 | − | 0.000769338i | ||||
\(289\) | −12.9390 | + | 6.23110i | −0.761118 | + | 0.366535i | ||||
\(290\) | 18.0319 | + | 2.43412i | 1.05887 | + | 0.142936i | ||||
\(291\) | −4.95533 | − | 10.2899i | −0.290487 | − | 0.603202i | ||||
\(292\) | 9.48962 | − | 10.8820i | 0.555338 | − | 0.636821i | ||||
\(293\) | − | 6.07355i | − | 0.354821i | −0.984137 | − | 0.177410i | \(-0.943228\pi\) | ||
0.984137 | − | 0.177410i | \(-0.0567720\pi\) | |||||||
\(294\) | 9.48596 | − | 2.83134i | 0.553233 | − | 0.165127i | ||||
\(295\) | 33.2036i | 1.93319i | ||||||||
\(296\) | 17.2218 | + | 12.4760i | 1.00100 | + | 0.725151i | ||||
\(297\) | −1.06575 | − | 2.21305i | −0.0618409 | − | 0.128414i | ||||
\(298\) | 1.39908 | − | 10.3644i | 0.0810466 | − | 0.600393i | ||||
\(299\) | −0.540172 | + | 0.260133i | −0.0312390 | + | 0.0150439i | ||||
\(300\) | 21.3679 | + | 5.87595i | 1.23368 | + | 0.339248i | ||||
\(301\) | 3.31294 | − | 26.4765i | 0.190955 | − | 1.52608i | ||||
\(302\) | −3.38427 | − | 5.65838i | −0.194743 | − | 0.325603i | ||||
\(303\) | 10.1365 | + | 8.08357i | 0.582325 | + | 0.464389i | ||||
\(304\) | 5.68785 | + | 0.501331i | 0.326221 | + | 0.0287533i | ||||
\(305\) | −15.2512 | − | 19.1244i | −0.873283 | − | 1.09506i | ||||
\(306\) | −2.18453 | + | 0.710913i | −0.124881 | + | 0.0406402i | ||||
\(307\) | −2.70001 | − | 3.38571i | −0.154098 | − | 0.193233i | 0.698790 | − | 0.715327i | \(-0.253722\pi\) |
−0.852888 | + | 0.522094i | \(0.825151\pi\) | |||||||
\(308\) | 10.5992 | + | 7.52274i | 0.603946 | + | 0.428648i | ||||
\(309\) | 8.21104 | − | 10.2963i | 0.467110 | − | 0.585737i | ||||
\(310\) | −17.2590 | + | 46.0510i | −0.980243 | + | 2.61552i | ||||
\(311\) | −4.85399 | − | 21.2667i | −0.275244 | − | 1.20592i | −0.903730 | − | 0.428103i | \(-0.859182\pi\) |
0.628485 | − | 0.777821i | \(-0.283675\pi\) | |||||||
\(312\) | −0.234733 | − | 0.845967i | −0.0132892 | − | 0.0478935i | ||||
\(313\) | 33.2539i | 1.87962i | 0.341697 | + | 0.939810i | \(0.388998\pi\) | ||||
−0.341697 | + | 0.939810i | \(0.611002\pi\) | |||||||
\(314\) | −25.5747 | + | 8.32277i | −1.44326 | + | 0.469681i | ||||
\(315\) | 10.5567 | − | 1.05834i | 0.594802 | − | 0.0596305i | ||||
\(316\) | 0.476930 | + | 0.0209778i | 0.0268294 | + | 0.00118009i | ||||
\(317\) | −3.73011 | + | 16.3427i | −0.209504 | + | 0.917897i | 0.755394 | + | 0.655271i | \(0.227446\pi\) |
−0.964898 | + | 0.262626i | \(0.915411\pi\) | |||||||
\(318\) | −10.0940 | + | 15.3071i | −0.566044 | + | 0.858381i | ||||
\(319\) | 6.16158 | + | 4.91370i | 0.344982 | + | 0.275114i | ||||
\(320\) | −30.4828 | + | 9.99787i | −1.70404 | + | 0.558898i | ||||
\(321\) | 17.3166 | + | 3.95239i | 0.966517 | + | 0.220601i | ||||
\(322\) | 5.49281 | + | 4.69700i | 0.306102 | + | 0.261754i | ||||
\(323\) | −2.26071 | + | 0.515991i | −0.125789 | + | 0.0287105i | ||||
\(324\) | 1.96753 | − | 0.358930i | 0.109307 | − | 0.0199406i | ||||
\(325\) | − | 3.43935i | − | 0.190781i | ||||||
\(326\) | 26.6131 | − | 8.66070i | 1.47396 | − | 0.479672i | ||||
\(327\) | −9.09357 | − | 4.37923i | −0.502876 | − | 0.242172i | ||||
\(328\) | −2.03302 | − | 0.865629i | −0.112255 | − | 0.0477964i | ||||
\(329\) | −29.4159 | − | 18.9911i | −1.62175 | − | 1.04701i | ||||
\(330\) | 9.63104 | + | 10.0640i | 0.530171 | + | 0.554004i | ||||
\(331\) | 9.44019 | − | 2.15466i | 0.518880 | − | 0.118431i | 0.0449426 | − | 0.998990i | \(-0.485690\pi\) |
0.473937 | + | 0.880559i | \(0.342832\pi\) | |||||||
\(332\) | 1.07396 | + | 0.936547i | 0.0589414 | + | 0.0513997i | ||||
\(333\) | 6.77407 | + | 3.26222i | 0.371217 | + | 0.178769i | ||||
\(334\) | 12.3833 | − | 18.7787i | 0.677582 | − | 1.02752i | ||||
\(335\) | −21.9700 | + | 10.5802i | −1.20035 | + | 0.578057i | ||||
\(336\) | −8.19432 | + | 6.69725i | −0.447037 | + | 0.365365i | ||||
\(337\) | 21.3686 | + | 10.2906i | 1.16402 | + | 0.560564i | 0.913217 | − | 0.407473i | \(-0.133590\pi\) |
0.250806 | + | 0.968037i | \(0.419304\pi\) | |||||||
\(338\) | 15.6611 | − | 9.36688i | 0.851852 | − | 0.509491i | ||||
\(339\) | −1.28069 | + | 5.61107i | −0.0695575 | + | 0.304751i | ||||
\(340\) | 10.5329 | − | 7.66749i | 0.571228 | − | 0.415828i | ||||
\(341\) | −16.6536 | + | 13.2808i | −0.901841 | + | 0.719194i | ||||
\(342\) | 2.01055 | − | 0.181888i | 0.108718 | − | 0.00983538i | ||||
\(343\) | −10.4243 | + | 15.3080i | −0.562860 | + | 0.826552i | ||||
\(344\) | 7.62684 | + | 27.4867i | 0.411212 | + | 1.48199i | ||||
\(345\) | 4.82934 | + | 6.05580i | 0.260003 | + | 0.326033i | ||||
\(346\) | −3.38320 | − | 5.65658i | −0.181882 | − | 0.304100i | ||||
\(347\) | −6.41533 | − | 1.46426i | −0.344393 | − | 0.0786054i | 0.0468261 | − | 0.998903i | \(-0.485089\pi\) |
−0.391219 | + | 0.920298i | \(0.627946\pi\) | |||||||
\(348\) | −5.18793 | + | 3.77658i | −0.278102 | + | 0.202446i | ||||
\(349\) | 0.515468 | − | 1.07038i | 0.0275923 | − | 0.0572961i | −0.886717 | − | 0.462312i | \(-0.847020\pi\) |
0.914309 | + | 0.405016i | \(0.132734\pi\) | |||||||
\(350\) | −37.9481 | + | 16.6986i | −2.02841 | + | 0.892580i | ||||
\(351\) | −0.134675 | − | 0.279656i | −0.00718844 | − | 0.0149269i | ||||
\(352\) | −13.5536 | − | 3.06063i | −0.722411 | − | 0.163132i | ||||
\(353\) | −8.80931 | + | 18.2927i | −0.468872 | + | 0.973623i | 0.523693 | + | 0.851907i | \(0.324554\pi\) |
−0.992565 | + | 0.121716i | \(0.961160\pi\) | |||||||
\(354\) | −8.09611 | − | 8.46005i | −0.430304 | − | 0.449647i | ||||
\(355\) | −0.900045 | − | 3.94335i | −0.0477694 | − | 0.209292i | ||||
\(356\) | −10.3279 | + | 11.8433i | −0.547379 | + | 0.627694i | ||||
\(357\) | 2.33111 | − | 3.61074i | 0.123376 | − | 0.191101i | ||||
\(358\) | 26.3460 | + | 17.3734i | 1.39243 | + | 0.918213i | ||||
\(359\) | −9.12727 | + | 18.9530i | −0.481719 | + | 1.00030i | 0.508537 | + | 0.861040i | \(0.330186\pi\) |
−0.990256 | + | 0.139259i | \(0.955528\pi\) | |||||||
\(360\) | −9.98040 | + | 5.38852i | −0.526013 | + | 0.284000i | ||||
\(361\) | −16.9623 | −0.892753 | ||||||||
\(362\) | −1.61436 | − | 17.8447i | −0.0848486 | − | 0.937896i | ||||
\(363\) | −1.10517 | − | 4.84208i | −0.0580066 | − | 0.254144i | ||||
\(364\) | 1.33939 | + | 0.950627i | 0.0702032 | + | 0.0498264i | ||||
\(365\) | −6.44190 | + | 28.2238i | −0.337185 | + | 1.47730i | ||||
\(366\) | 8.54907 | + | 1.15403i | 0.446867 | + | 0.0603222i | ||||
\(367\) | −8.17245 | + | 10.2479i | −0.426599 | + | 0.534938i | −0.947956 | − | 0.318401i | \(-0.896854\pi\) |
0.521358 | + | 0.853338i | \(0.325426\pi\) | |||||||
\(368\) | −7.35248 | − | 2.37396i | −0.383274 | − | 0.123751i | ||||
\(369\) | −0.761638 | − | 0.173839i | −0.0396493 | − | 0.00904970i | ||||
\(370\) | −42.2556 | − | 5.70404i | −2.19676 | − | 0.296539i | ||||
\(371\) | −3.42180 | − | 34.1318i | −0.177651 | − | 1.77204i | ||||
\(372\) | −6.83125 | − | 15.9418i | −0.354184 | − | 0.826542i | ||||
\(373\) | 27.6235 | 1.43029 | 0.715146 | − | 0.698975i | \(-0.246360\pi\) | ||||
0.715146 | + | 0.698975i | \(0.246360\pi\) | |||||||
\(374\) | 5.61990 | − | 0.508415i | 0.290598 | − | 0.0262895i | ||||
\(375\) | −23.7720 | + | 5.42581i | −1.22758 | + | 0.280188i | ||||
\(376\) | 36.8388 | + | 6.63258i | 1.89982 | + | 0.342049i | ||||
\(377\) | 0.778621 | + | 0.620930i | 0.0401010 | + | 0.0319795i | ||||
\(378\) | −2.43172 | + | 2.84372i | −0.125074 | + | 0.146265i | ||||
\(379\) | 9.78249 | − | 7.80128i | 0.502493 | − | 0.400725i | −0.339172 | − | 0.940724i | \(-0.610147\pi\) |
0.841665 | + | 0.539999i | \(0.181576\pi\) | |||||||
\(380\) | −10.5231 | + | 4.50927i | −0.539822 | + | 0.231321i | ||||
\(381\) | 2.23258 | − | 1.78043i | 0.114379 | − | 0.0912140i | ||||
\(382\) | −4.65386 | + | 12.4176i | −0.238112 | + | 0.635339i | ||||
\(383\) | −23.7990 | + | 29.8430i | −1.21607 | + | 1.52491i | −0.435044 | + | 0.900409i | \(0.643267\pi\) |
−0.781028 | + | 0.624496i | \(0.785304\pi\) | |||||||
\(384\) | 5.32899 | − | 9.98007i | 0.271944 | − | 0.509293i | ||||
\(385\) | −25.8587 | − | 3.23564i | −1.31788 | − | 0.164903i | ||||
\(386\) | −2.69568 | − | 1.01029i | −0.137207 | − | 0.0514222i | ||||
\(387\) | 4.37580 | + | 9.08645i | 0.222435 | + | 0.461890i | ||||
\(388\) | −22.8197 | − | 1.00372i | −1.15849 | − | 0.0509564i | ||||
\(389\) | −11.1236 | + | 5.35685i | −0.563990 | + | 0.271603i | −0.694079 | − | 0.719899i | \(-0.744188\pi\) |
0.130089 | + | 0.991502i | \(0.458474\pi\) | |||||||
\(390\) | 1.21705 | + | 1.27176i | 0.0616276 | + | 0.0643978i | ||||
\(391\) | 3.13769 | 0.158680 | ||||||||
\(392\) | 3.98577 | − | 19.3937i | 0.201312 | − | 0.979527i | ||||
\(393\) | 6.76530 | 0.341264 | ||||||||
\(394\) | 9.91471 | + | 10.3604i | 0.499496 | + | 0.521949i | ||||
\(395\) | −0.862392 | + | 0.415306i | −0.0433916 | + | 0.0208963i | ||||
\(396\) | −4.90785 | − | 0.215872i | −0.246629 | − | 0.0108480i | ||||
\(397\) | −4.76734 | − | 9.89948i | −0.239266 | − | 0.496840i | 0.746411 | − | 0.665485i | \(-0.231775\pi\) |
−0.985677 | + | 0.168645i | \(0.946061\pi\) | |||||||
\(398\) | 20.0515 | + | 7.51491i | 1.00509 | + | 0.376688i | ||||
\(399\) | −2.70316 | + | 2.63757i | −0.135327 | + | 0.132043i | ||||
\(400\) | 30.5702 | − | 32.0924i | 1.52851 | − | 1.60462i | ||||
\(401\) | −13.2547 | + | 16.6208i | −0.661907 | + | 0.830005i | −0.993549 | − | 0.113400i | \(-0.963826\pi\) |
0.331642 | + | 0.943405i | \(0.392397\pi\) | |||||||
\(402\) | 3.01801 | − | 8.05275i | 0.150524 | − | 0.401634i | ||||
\(403\) | −2.10446 | + | 1.67825i | −0.104831 | + | 0.0835997i | ||||
\(404\) | 23.8340 | − | 10.2132i | 1.18579 | − | 0.508124i | ||||
\(405\) | −3.13519 | + | 2.50023i | −0.155789 | + | 0.124237i | ||||
\(406\) | 3.07069 | − | 11.6056i | 0.152396 | − | 0.575979i | ||||
\(407\) | −14.4389 | − | 11.5146i | −0.715709 | − | 0.570759i | ||||
\(408\) | −0.814136 | + | 4.52189i | −0.0403057 | + | 0.223867i | ||||
\(409\) | 3.81724 | − | 0.871260i | 0.188750 | − | 0.0430810i | −0.127101 | − | 0.991890i | \(-0.540567\pi\) |
0.315851 | + | 0.948809i | \(0.397710\pi\) | |||||||
\(410\) | 4.41237 | − | 0.399174i | 0.217911 | − | 0.0197138i | ||||
\(411\) | 11.8121 | 0.582647 | ||||||||
\(412\) | −10.3742 | − | 24.2098i | −0.511102 | − | 1.19273i | ||||
\(413\) | 21.7375 | + | 2.71997i | 1.06963 | + | 0.133841i | ||||
\(414\) | −2.70708 | − | 0.365427i | −0.133046 | − | 0.0179597i | ||||
\(415\) | −2.78546 | − | 0.635762i | −0.136733 | − | 0.0312084i | ||||
\(416\) | −1.71273 | − | 0.386763i | −0.0839737 | − | 0.0189626i | ||||
\(417\) | 9.25019 | − | 11.5994i | 0.452984 | − | 0.568024i | ||||
\(418\) | −4.91409 | − | 0.663349i | −0.240356 | − | 0.0324455i | ||||
\(419\) | −1.12680 | + | 4.93683i | −0.0550478 | + | 0.241180i | −0.994965 | − | 0.100222i | \(-0.968045\pi\) |
0.939917 | + | 0.341402i | \(0.110902\pi\) | |||||||
\(420\) | 8.12295 | − | 19.6029i | 0.396359 | − | 0.956523i | ||||
\(421\) | 3.41276 | + | 14.9523i | 0.166328 | + | 0.728729i | 0.987444 | + | 0.157968i | \(0.0504944\pi\) |
−0.821117 | + | 0.570761i | \(0.806648\pi\) | |||||||
\(422\) | −3.09137 | − | 34.1712i | −0.150485 | − | 1.66343i | ||||
\(423\) | 13.2339 | 0.643455 | ||||||||
\(424\) | 17.4221 | + | 32.2685i | 0.846092 | + | 1.56710i | ||||
\(425\) | −7.80975 | + | 16.2171i | −0.378829 | + | 0.786646i | ||||
\(426\) | 1.19084 | + | 0.785280i | 0.0576965 | + | 0.0380469i | ||||
\(427\) | −13.7696 | + | 8.41795i | −0.666359 | + | 0.407373i | ||||
\(428\) | 23.3478 | − | 26.7735i | 1.12856 | − | 1.29415i | ||||
\(429\) | 0.169655 | + | 0.743307i | 0.00819102 | + | 0.0358872i | ||||
\(430\) | −39.5437 | − | 41.3212i | −1.90697 | − | 1.99269i | ||||
\(431\) | 15.8523 | − | 32.9176i | 0.763578 | − | 1.58559i | −0.0462587 | − | 0.998929i | \(-0.514730\pi\) |
0.809836 | − | 0.586656i | \(-0.199556\pi\) | |||||||
\(432\) | 1.22904 | − | 3.80650i | 0.0591323 | − | 0.183140i | ||||
\(433\) | −10.4384 | − | 21.6756i | −0.501639 | − | 1.04167i | −0.985992 | − | 0.166792i | \(-0.946659\pi\) |
0.484353 | − | 0.874873i | \(-0.339055\pi\) | |||||||
\(434\) | 28.7345 | + | 15.0714i | 1.37930 | + | 0.723450i | ||||
\(435\) | 5.58242 | − | 11.5920i | 0.267656 | − | 0.555794i | ||||
\(436\) | −16.3200 | + | 11.8802i | −0.781587 | + | 0.568960i | ||||
\(437\) | −2.68812 | − | 0.613547i | −0.128590 | − | 0.0293499i | ||||
\(438\) | −5.24053 | − | 8.76198i | −0.250402 | − | 0.418664i | ||||
\(439\) | −11.4721 | − | 14.3855i | −0.547531 | − | 0.686583i | 0.428667 | − | 0.903463i | \(-0.358983\pi\) |
−0.976198 | + | 0.216880i | \(0.930412\pi\) | |||||||
\(440\) | 26.8454 | − | 7.44889i | 1.27981 | − | 0.355112i | ||||
\(441\) | 0.171916 | − | 6.99789i | 0.00818649 | − | 0.333233i | ||||
\(442\) | 0.710170 | − | 0.0642469i | 0.0337793 | − | 0.00305591i | ||||
\(443\) | 8.95941 | − | 7.14489i | 0.425674 | − | 0.339464i | −0.387105 | − | 0.922036i | \(-0.626525\pi\) |
0.812779 | + | 0.582572i | \(0.197953\pi\) | |||||||
\(444\) | 12.1573 | − | 8.84993i | 0.576958 | − | 0.419999i | ||||
\(445\) | 7.01098 | − | 30.7171i | 0.332352 | − | 1.45613i | ||||
\(446\) | −20.0430 | + | 11.9877i | −0.949062 | + | 0.567633i | ||||
\(447\) | −6.66285 | − | 3.20866i | −0.315142 | − | 0.151764i | ||||
\(448\) | 4.04826 | + | 20.7753i | 0.191262 | + | 0.981539i | ||||
\(449\) | 23.3309 | − | 11.2356i | 1.10106 | − | 0.530240i | 0.207065 | − | 0.978327i | \(-0.433609\pi\) |
0.893990 | + | 0.448087i | \(0.147894\pi\) | |||||||
\(450\) | 8.62667 | − | 13.0820i | 0.406665 | − | 0.616690i | ||||
\(451\) | 1.72889 | + | 0.832589i | 0.0814102 | + | 0.0392051i | ||||
\(452\) | 8.67539 | + | 7.56535i | 0.408056 | + | 0.355844i | ||||
\(453\) | −4.54522 | + | 1.03742i | −0.213553 | + | 0.0487421i | ||||
\(454\) | −19.3178 | − | 20.1862i | −0.906631 | − | 0.947386i | ||||
\(455\) | −3.26769 | − | 0.408878i | −0.153192 | − | 0.0191685i | ||||
\(456\) | 1.58170 | − | 3.71480i | 0.0740699 | − | 0.173961i | ||||
\(457\) | 15.5292 | + | 7.47849i | 0.726427 | + | 0.349829i | 0.760278 | − | 0.649598i | \(-0.225063\pi\) |
−0.0338506 | + | 0.999427i | \(0.510777\pi\) | |||||||
\(458\) | −8.48544 | + | 2.76142i | −0.396499 | + | 0.129033i | ||||
\(459\) | 1.62444i | 0.0758222i | ||||||||
\(460\) | 15.2398 | − | 2.78015i | 0.710559 | − | 0.129625i | ||||
\(461\) | −32.6354 | + | 7.44882i | −1.51998 | + | 0.346926i | −0.899369 | − | 0.437191i | \(-0.855973\pi\) |
−0.620613 | + | 0.784117i | \(0.713116\pi\) | |||||||
\(462\) | 7.37758 | − | 5.48077i | 0.343236 | − | 0.254989i | ||||
\(463\) | 17.4932 | + | 3.99271i | 0.812978 | + | 0.185557i | 0.608745 | − | 0.793366i | \(-0.291673\pi\) |
0.204232 | + | 0.978922i | \(0.434530\pi\) | |||||||
\(464\) | 1.74621 | + | 12.7145i | 0.0810660 | + | 0.590258i | ||||
\(465\) | 27.1880 | + | 21.6817i | 1.26081 | + | 1.00546i | ||||
\(466\) | −4.97539 | + | 7.54496i | −0.230480 | + | 0.349514i | ||||
\(467\) | −0.764367 | + | 3.34891i | −0.0353707 | + | 0.154969i | −0.989529 | − | 0.144332i | \(-0.953897\pi\) |
0.954159 | + | 0.299302i | \(0.0967537\pi\) | |||||||
\(468\) | −0.620190 | − | 0.0272791i | −0.0286683 | − | 0.00126098i | ||||
\(469\) | 5.12683 | + | 15.2499i | 0.236735 | + | 0.704173i | ||||
\(470\) | −71.3666 | + | 23.2248i | −3.29190 | + | 1.07128i | ||||
\(471\) | 19.0175i | 0.876281i | ||||||||
\(472\) | −22.5670 | + | 6.26174i | −1.03873 | + | 0.288220i | ||||
\(473\) | −5.51234 | − | 24.1511i | −0.253458 | − | 1.11047i | ||||
\(474\) | 0.118466 | − | 0.316096i | 0.00544134 | − | 0.0145188i | ||||
\(475\) | 9.86188 | − | 12.3664i | 0.452494 | − | 0.567410i | ||||
\(476\) | −4.15687 | − | 7.52374i | −0.190530 | − | 0.344850i | ||||
\(477\) | 8.08372 | + | 10.1367i | 0.370128 | + | 0.464126i | ||||
\(478\) | −28.2225 | + | 9.18446i | −1.29087 | + | 0.420087i | ||||
\(479\) | 7.47224 | + | 9.36989i | 0.341415 | + | 0.428121i | 0.922664 | − | 0.385605i | \(-0.126007\pi\) |
−0.581249 | + | 0.813726i | \(0.697436\pi\) | |||||||
\(480\) | 0.0523557 | + | 22.6842i | 0.00238970 | + | 1.03539i | ||||
\(481\) | −1.82460 | − | 1.45507i | −0.0831946 | − | 0.0663455i | ||||
\(482\) | −18.1235 | − | 30.3018i | −0.825501 | − | 1.38021i | ||||
\(483\) | 4.36018 | − | 2.66556i | 0.198395 | − | 0.121287i | ||||
\(484\) | −9.57769 | − | 2.63376i | −0.435349 | − | 0.119716i | ||||
\(485\) | 41.2629 | − | 19.8712i | 1.87365 | − | 0.902303i | ||||
\(486\) | 0.189188 | − | 1.40150i | 0.00858172 | − | 0.0635734i | ||||
\(487\) | 10.1187 | + | 21.0117i | 0.458522 | + | 0.952131i | 0.994184 | + | 0.107698i | \(0.0343479\pi\) |
−0.535662 | + | 0.844433i | \(0.679938\pi\) | |||||||
\(488\) | 10.1219 | − | 13.9722i | 0.458195 | − | 0.632491i | ||||
\(489\) | − | 19.7897i | − | 0.894921i | ||||||
\(490\) | 11.3538 | + | 38.0393i | 0.512914 | + | 1.71844i | ||||
\(491\) | − | 1.71363i | − | 0.0773351i | −0.999252 | − | 0.0386676i | \(-0.987689\pi\) | ||
0.999252 | − | 0.0386676i | \(-0.0123113\pi\) | |||||||
\(492\) | −1.02691 | + | 1.17759i | −0.0462967 | + | 0.0530897i | ||||
\(493\) | −2.26138 | − | 4.69581i | −0.101848 | − | 0.211489i | ||||
\(494\) | −0.620980 | − | 0.0838255i | −0.0279392 | − | 0.00377149i | ||||
\(495\) | 8.87444 | − | 4.27371i | 0.398877 | − | 0.192089i | ||||
\(496\) | −34.5535 | − | 3.04557i | −1.55150 | − | 0.136750i | ||||
\(497\) | −2.65534 | + | 0.266205i | −0.119108 | + | 0.0119409i | ||||
\(498\) | 0.864735 | − | 0.517197i | 0.0387497 | − | 0.0231761i | ||||
\(499\) | −8.52168 | − | 6.79581i | −0.381483 | − | 0.304222i | 0.413909 | − | 0.910318i | \(-0.364163\pi\) |
−0.795391 | + | 0.606096i | \(0.792735\pi\) | |||||||
\(500\) | −12.9303 | + | 47.0213i | −0.578263 | + | 2.10286i | ||||
\(501\) | −9.91706 | − | 12.4356i | −0.443061 | − | 0.555581i | ||||
\(502\) | −8.78810 | − | 27.0046i | −0.392232 | − | 1.20527i | ||||
\(503\) | 3.29943 | + | 4.13736i | 0.147115 | + | 0.184476i | 0.849929 | − | 0.526898i | \(-0.176645\pi\) |
−0.702814 | + | 0.711373i | \(0.748073\pi\) | |||||||
\(504\) | 2.71015 | + | 6.97532i | 0.120720 | + | 0.310705i | ||||
\(505\) | −32.4156 | + | 40.6478i | −1.44247 | + | 1.80880i | ||||
\(506\) | 6.28295 | + | 2.35472i | 0.279311 | + | 0.104680i | ||||
\(507\) | −2.87133 | − | 12.5801i | −0.127520 | − | 0.558703i | ||||
\(508\) | −1.02496 | − | 5.61844i | −0.0454750 | − | 0.249278i | ||||
\(509\) | − | 28.6400i | − | 1.26945i | −0.772740 | − | 0.634723i | \(-0.781114\pi\) | ||
0.772740 | − | 0.634723i | \(-0.218886\pi\) | |||||||
\(510\) | −2.85080 | − | 8.76010i | −0.126236 | − | 0.387904i | ||||
\(511\) | 17.9497 | + | 6.52938i | 0.794047 | + | 0.288843i | ||||
\(512\) | −12.5437 | − | 18.8323i | −0.554359 | − | 0.832277i | ||||
\(513\) | 0.317643 | − | 1.39169i | 0.0140243 | − | 0.0614445i | ||||
\(514\) | 24.1824 | + | 15.9466i | 1.06664 | + | 0.703376i | ||||
\(515\) | 41.2888 | + | 32.9267i | 1.81940 | + | 1.45093i | ||||
\(516\) | 20.1509 | + | 0.886338i | 0.887094 | + | 0.0390189i | ||||
\(517\) | −31.6914 | − | 7.23336i | −1.39379 | − | 0.318123i | ||||
\(518\) | −7.19577 | + | 27.1964i | −0.316164 | + | 1.19494i | ||||
\(519\) | −4.54378 | + | 1.03709i | −0.199450 | + | 0.0455231i | ||||
\(520\) | 3.39238 | − | 0.941294i | 0.148766 | − | 0.0412785i | ||||
\(521\) | − | 0.100273i | − | 0.00439303i | −0.999998 | − | 0.00219652i | \(-0.999301\pi\) | ||
0.999998 | − | 0.00219652i | \(-0.000699173\pi\) | |||||||
\(522\) | 1.40415 | + | 4.31474i | 0.0614578 | + | 0.188851i | ||||
\(523\) | −40.3558 | − | 19.4344i | −1.76464 | − | 0.849805i | −0.970143 | − | 0.242535i | \(-0.922021\pi\) |
−0.794495 | − | 0.607270i | \(-0.792264\pi\) | |||||||
\(524\) | 6.40072 | − | 11.9209i | 0.279617 | − | 0.520767i | ||||
\(525\) | 2.92439 | + | 29.1702i | 0.127631 | + | 1.27309i | ||||
\(526\) | 25.8200 | − | 24.7092i | 1.12580 | − | 1.07737i | ||||
\(527\) | 13.7337 | − | 3.13463i | 0.598250 | − | 0.136547i | ||||
\(528\) | −5.02375 | + | 8.44371i | −0.218631 | + | 0.367465i | ||||
\(529\) | −17.3608 | − | 8.36054i | −0.754819 | − | 0.363502i | ||||
\(530\) | −61.3824 | − | 40.4775i | −2.66628 | − | 1.75823i | ||||
\(531\) | −7.46010 | + | 3.59259i | −0.323741 | + | 0.155905i | ||||
\(532\) | 2.09008 | + | 7.25857i | 0.0906163 | + | 0.314699i | ||||
\(533\) | 0.218475 | + | 0.105212i | 0.00946318 | + | 0.00455723i | ||||
\(534\) | 5.70347 | + | 9.53601i | 0.246813 | + | 0.412663i | ||||
\(535\) | −15.8493 | + | 69.4404i | −0.685226 | + | 3.00217i | ||||
\(536\) | −11.3341 | − | 12.9367i | −0.489558 | − | 0.558781i | ||||
\(537\) | 17.4468 | − | 13.9134i | 0.752886 | − | 0.600407i | ||||
\(538\) | 0.102700 | + | 1.13522i | 0.00442769 | + | 0.0489426i | ||||
\(539\) | −4.23658 | + | 16.6640i | −0.182482 | + | 0.717768i | ||||
\(540\) | 1.43933 | + | 7.88990i | 0.0619390 | + | 0.339527i | ||||
\(541\) | 6.68064 | + | 8.37726i | 0.287223 | + | 0.360166i | 0.904421 | − | 0.426642i | \(-0.140303\pi\) |
−0.617198 | + | 0.786808i | \(0.711732\pi\) | |||||||
\(542\) | −3.96267 | + | 2.37007i | −0.170211 | + | 0.101803i | ||||
\(543\) | −12.3520 | − | 2.81926i | −0.530074 | − | 0.120986i | ||||
\(544\) | 7.19761 | + | 5.71277i | 0.308595 | + | 0.244933i | ||||
\(545\) | 17.5610 | − | 36.4657i | 0.752229 | − | 1.56202i | ||||
\(546\) | 0.932283 | − | 0.692589i | 0.0398980 | − | 0.0296401i | ||||
\(547\) | 13.8721 | + | 28.8058i | 0.593130 | + | 1.23165i | 0.954217 | + | 0.299115i | \(0.0966913\pi\) |
−0.361088 | + | 0.932532i | \(0.617594\pi\) | |||||||
\(548\) | 11.1755 | − | 20.8136i | 0.477395 | − | 0.889115i | ||||
\(549\) | 2.64666 | − | 5.49585i | 0.112957 | − | 0.234557i | ||||
\(550\) | −27.8087 | + | 26.6124i | −1.18577 | + | 1.13476i | ||||
\(551\) | 1.01915 | + | 4.46519i | 0.0434173 | + | 0.190223i | ||||
\(552\) | −3.20511 | + | 4.42432i | −0.136418 | + | 0.188312i | ||||
\(553\) | 0.201245 | + | 0.598606i | 0.00855779 | + | 0.0254553i | ||||
\(554\) | 0.829081 | − | 1.25727i | 0.0352243 | − | 0.0534161i | ||||
\(555\) | −13.0817 | + | 27.1644i | −0.555287 | + | 1.15306i | ||||
\(556\) | −11.6871 | − | 27.2737i | −0.495645 | − | 1.15666i | ||||
\(557\) | 17.2429 | 0.730606 | 0.365303 | − | 0.930889i | \(-0.380965\pi\) | ||||
0.365303 | + | 0.930889i | \(0.380965\pi\) | |||||||
\(558\) | −12.2140 | + | 1.10496i | −0.517060 | + | 0.0467769i | ||||
\(559\) | −0.696578 | − | 3.05191i | −0.0294621 | − | 0.129082i | ||||
\(560\) | −26.8564 | − | 32.8597i | −1.13489 | − | 1.38857i | ||||
\(561\) | 0.887880 | − | 3.89006i | 0.0374863 | − | 0.164238i | ||||
\(562\) | 2.21489 | − | 16.4079i | 0.0934294 | − | 0.692125i | ||||
\(563\) | 10.0920 | − | 12.6550i | 0.425328 | − | 0.533344i | −0.522283 | − | 0.852772i | \(-0.674919\pi\) |
0.947610 | + | 0.319428i | \(0.103491\pi\) | |||||||
\(564\) | 12.5208 | − | 23.3190i | 0.527219 | − | 0.981908i | ||||
\(565\) | −22.5007 | − | 5.13564i | −0.946612 | − | 0.216058i | ||||
\(566\) | −1.17083 | + | 8.67348i | −0.0492135 | + | 0.364574i | ||||
\(567\) | 1.38001 | + | 2.25734i | 0.0579548 | + | 0.0947993i | ||||
\(568\) | 2.51038 | − | 1.35538i | 0.105333 | − | 0.0568705i | ||||
\(569\) | −11.6351 | −0.487767 | −0.243884 | − | 0.969805i | \(-0.578421\pi\) | ||||
−0.243884 | + | 0.969805i | \(0.578421\pi\) | |||||||
\(570\) | 0.729381 | + | 8.06240i | 0.0305504 | + | 0.337697i | ||||
\(571\) | −26.4896 | + | 6.04608i | −1.10856 | + | 0.253020i | −0.737337 | − | 0.675525i | \(-0.763917\pi\) |
−0.371218 | + | 0.928546i | \(0.621060\pi\) | |||||||
\(572\) | 1.47027 | + | 0.404308i | 0.0614750 | + | 0.0169049i | ||||
\(573\) | 7.33120 | + | 5.84644i | 0.306265 | + | 0.244238i | ||||
\(574\) | 0.100123 | − | 2.92136i | 0.00417906 | − | 0.121935i | ||||
\(575\) | −16.7333 | + | 13.3444i | −0.697828 | + | 0.556499i | ||||
\(576\) | −5.54449 | − | 5.76702i | −0.231021 | − | 0.240293i | ||||
\(577\) | −3.94969 | + | 3.14978i | −0.164428 | + | 0.131127i | −0.702247 | − | 0.711933i | \(-0.747820\pi\) |
0.537819 | + | 0.843060i | \(0.319248\pi\) | |||||||
\(578\) | 19.0181 | + | 7.12758i | 0.791047 | + | 0.296468i | ||||
\(579\) | −1.26918 | + | 1.59150i | −0.0527453 | + | 0.0661405i | ||||
\(580\) | −15.1443 | − | 20.8039i | −0.628832 | − | 0.863835i | ||||
\(581\) | −0.644396 | + | 1.77149i | −0.0267340 | + | 0.0734936i | ||||
\(582\) | −5.66827 | + | 15.1243i | −0.234957 | + | 0.626921i | ||||
\(583\) | −13.8177 | − | 28.6928i | −0.572271 | − | 1.18833i | ||||
\(584\) | −20.3973 | + | 0.944349i | −0.844046 | + | 0.0390774i | ||||
\(585\) | 1.12144 | − | 0.540056i | 0.0463657 | − | 0.0223286i | ||||
\(586\) | −6.20556 | + | 5.93861i | −0.256349 | + | 0.245322i | ||||
\(587\) | −7.71705 | −0.318517 | −0.159258 | − | 0.987237i | \(-0.550910\pi\) | ||||
−0.159258 | + | 0.987237i | \(0.550910\pi\) | |||||||
\(588\) | −12.1681 | − | 6.92371i | −0.501803 | − | 0.285529i | ||||
\(589\) | −12.3789 | −0.510064 | ||||||||
\(590\) | 33.9253 | − | 32.4659i | 1.39668 | − | 1.33660i | ||||
\(591\) | 9.13583 | − | 4.39958i | 0.375798 | − | 0.180975i | ||||
\(592\) | −4.09203 | − | 29.7949i | −0.168181 | − | 1.22456i | ||||
\(593\) | 10.0799 | + | 20.9311i | 0.413931 | + | 0.859537i | 0.998827 | + | 0.0484280i | \(0.0154211\pi\) |
−0.584896 | + | 0.811109i | \(0.698865\pi\) | |||||||
\(594\) | −1.21908 | + | 3.25279i | −0.0500194 | + | 0.133464i | ||||
\(595\) | 14.4793 | + | 9.34790i | 0.593592 | + | 0.383226i | ||||
\(596\) | −11.9577 | + | 8.70463i | −0.489805 | + | 0.356555i | ||||
\(597\) | 9.44065 | − | 11.8382i | 0.386380 | − | 0.484505i | ||||
\(598\) | 0.793958 | + | 0.297559i | 0.0324673 | + | 0.0121681i | ||||
\(599\) | −10.4273 | + | 8.31548i | −0.426047 | + | 0.339761i | −0.812924 | − | 0.582370i | \(-0.802125\pi\) |
0.386876 | + | 0.922132i | \(0.373554\pi\) | |||||||
\(600\) | −14.8895 | − | 27.5778i | −0.607862 | − | 1.12586i | ||||
\(601\) | 22.6026 | − | 18.0250i | 0.921981 | − | 0.735255i | −0.0425863 | − | 0.999093i | \(-0.513560\pi\) |
0.964567 | + | 0.263838i | \(0.0849883\pi\) | |||||||
\(602\) | −30.2913 | + | 22.5033i | −1.23458 | + | 0.917164i | ||||
\(603\) | −4.75425 | − | 3.79139i | −0.193608 | − | 0.154397i | ||||
\(604\) | −2.47229 | + | 8.99049i | −0.100596 | + | 0.365818i | ||||
\(605\) | 19.4170 | − | 4.43181i | 0.789415 | − | 0.180179i | ||||
\(606\) | −1.65200 | − | 18.2608i | −0.0671077 | − | 0.741792i | ||||
\(607\) | 34.5730 | 1.40327 | 0.701637 | − | 0.712535i | \(-0.252453\pi\) | ||||
0.701637 | + | 0.712535i | \(0.252453\pi\) | |||||||
\(608\) | −5.04925 | − | 6.30167i | −0.204774 | − | 0.255567i | ||||
\(609\) | −7.13169 | − | 4.60425i | −0.288990 | − | 0.186574i | ||||
\(610\) | −4.62773 | + | 34.2823i | −0.187371 | + | 1.38805i | ||||
\(611\) | −4.00475 | − | 0.914058i | −0.162015 | − | 0.0369788i | ||||
\(612\) | 2.86236 | + | 1.53690i | 0.115704 | + | 0.0621254i | ||||
\(613\) | −14.2625 | + | 17.8846i | −0.576058 | + | 0.722354i | −0.981435 | − | 0.191796i | \(-0.938569\pi\) |
0.405377 | + | 0.914150i | \(0.367140\pi\) | |||||||
\(614\) | −0.819274 | + | 6.06918i | −0.0330632 | + | 0.244932i | ||||
\(615\) | 0.697104 | − | 3.05421i | 0.0281100 | − | 0.123158i | ||||
\(616\) | −2.67747 | − | 18.1852i | −0.107878 | − | 0.732702i | ||||
\(617\) | −2.10358 | − | 9.21638i | −0.0846869 | − | 0.371038i | 0.914771 | − | 0.403974i | \(-0.132371\pi\) |
−0.999457 | + | 0.0329363i | \(0.989514\pi\) | |||||||
\(618\) | −18.5487 | + | 1.67805i | −0.746139 | + | 0.0675009i | ||||
\(619\) | −7.98330 | −0.320876 | −0.160438 | − | 0.987046i | \(-0.551291\pi\) | ||||
−0.160438 | + | 0.987046i | \(0.551291\pi\) | |||||||
\(620\) | 63.9274 | − | 27.3937i | 2.56739 | − | 1.10016i | ||||
\(621\) | −0.838071 | + | 1.74027i | −0.0336306 | + | 0.0698348i | ||||
\(622\) | −16.9828 | + | 25.7537i | −0.680948 | + | 1.03263i | ||||
\(623\) | −19.5354 | − | 7.10618i | −0.782667 | − | 0.284703i | ||||
\(624\) | −0.634836 | + | 1.06701i | −0.0254138 | + | 0.0427145i | ||||
\(625\) | −9.42953 | − | 41.3135i | −0.377181 | − | 1.65254i | ||||
\(626\) | 33.9767 | − | 32.5150i | 1.35798 | − | 1.29956i | ||||
\(627\) | −1.52133 | + | 3.15907i | −0.0607560 | + | 0.126161i | ||||
\(628\) | 33.5101 | + | 17.9927i | 1.33720 | + | 0.717987i | ||||
\(629\) | 5.29926 | + | 11.0040i | 0.211296 | + | 0.438760i | ||||
\(630\) | −11.4035 | − | 9.75132i | −0.454326 | − | 0.388502i | ||||
\(631\) | 17.2327 | − | 35.7841i | 0.686024 | − | 1.42454i | −0.208725 | − | 0.977974i | \(-0.566931\pi\) |
0.894749 | − | 0.446569i | \(-0.147354\pi\) | |||||||
\(632\) | −0.444900 | − | 0.507808i | −0.0176972 | − | 0.0201995i | ||||
\(633\) | −23.6531 | − | 5.39867i | −0.940126 | − | 0.214578i | ||||
\(634\) | 20.3451 | − | 12.1684i | 0.808009 | − | 0.483269i | ||||
\(635\) | 7.13961 | + | 8.95279i | 0.283327 | + | 0.355281i | ||||
\(636\) | 25.5096 | − | 4.65363i | 1.01152 | − | 0.184529i | ||||
\(637\) | −0.535364 | + | 2.10578i | −0.0212119 | + | 0.0834339i | ||||
\(638\) | −1.00419 | − | 11.1000i | −0.0397561 | − | 0.439454i | ||||
\(639\) | 0.788599 | − | 0.628886i | 0.0311965 | − | 0.0248784i | ||||
\(640\) | 40.0207 | + | 21.3696i | 1.58196 | + | 0.844706i | ||||
\(641\) | −4.96871 | + | 21.7693i | −0.196252 | + | 0.859837i | 0.776891 | + | 0.629635i | \(0.216796\pi\) |
−0.973143 | + | 0.230202i | \(0.926061\pi\) | |||||||
\(642\) | −12.8935 | − | 21.5575i | −0.508867 | − | 0.850808i | ||||
\(643\) | −2.15240 | − | 1.03654i | −0.0848825 | − | 0.0408773i | 0.390961 | − | 0.920407i | \(-0.372143\pi\) |
−0.475843 | + | 0.879530i | \(0.657857\pi\) | |||||||
\(644\) | −0.571681 | − | 10.2048i | −0.0225274 | − | 0.402127i | ||||
\(645\) | −36.4372 | + | 17.5472i | −1.43471 | + | 0.690921i | ||||
\(646\) | 2.73768 | + | 1.80532i | 0.107713 | + | 0.0710292i | ||||
\(647\) | −6.60910 | − | 3.18278i | −0.259831 | − | 0.125128i | 0.299434 | − | 0.954117i | \(-0.403202\pi\) |
−0.559265 | + | 0.828989i | \(0.688916\pi\) | |||||||
\(648\) | −2.29055 | − | 1.65934i | −0.0899811 | − | 0.0651849i | ||||
\(649\) | 19.8284 | − | 4.52571i | 0.778333 | − | 0.177649i | ||||
\(650\) | −3.51410 | + | 3.36293i | −0.137834 | + | 0.131905i | ||||
\(651\) | 16.4216 | − | 16.0231i | 0.643614 | − | 0.627996i | ||||
\(652\) | −34.8708 | − | 18.7233i | −1.36564 | − | 0.733259i | ||||
\(653\) | 27.7572 | + | 13.3672i | 1.08622 | + | 0.523097i | 0.889301 | − | 0.457322i | \(-0.151191\pi\) |
0.196921 | + | 0.980419i | \(0.436906\pi\) | |||||||
\(654\) | 4.41711 | + | 13.5732i | 0.172723 | + | 0.530752i | ||||
\(655\) | 27.1292i | 1.06003i | ||||||||
\(656\) | 1.10341 | + | 2.92361i | 0.0430810 | + | 0.114148i | ||||
\(657\) | −7.03826 | + | 1.60644i | −0.274589 | + | 0.0626731i | ||||
\(658\) | 9.35850 | + | 48.6244i | 0.364832 | + | 1.89558i | ||||
\(659\) | −43.1750 | − | 9.85441i | −1.68186 | − | 0.383873i | −0.728342 | − | 0.685214i | \(-0.759709\pi\) |
−0.953517 | + | 0.301341i | \(0.902566\pi\) | |||||||
\(660\) | 0.865658 | − | 19.6807i | 0.0336957 | − | 0.766072i | ||||
\(661\) | −12.6399 | − | 10.0800i | −0.491636 | − | 0.392067i | 0.346052 | − | 0.938215i | \(-0.387522\pi\) |
−0.837688 | + | 0.546148i | \(0.816093\pi\) | |||||||
\(662\) | −11.4319 | − | 7.53858i | −0.444315 | − | 0.292995i | ||||
\(663\) | 0.112199 | − | 0.491575i | 0.00435744 | − | 0.0190912i | ||||
\(664\) | −0.0931994 | − | 2.01305i | −0.00361684 | − | 0.0781213i | ||||
\(665\) | −10.5768 | − | 10.8398i | −0.410150 | − | 0.420350i | ||||
\(666\) | −3.29044 | − | 10.1110i | −0.127502 | − | 0.391795i | ||||
\(667\) | − | 6.19735i | − | 0.239962i | ||||||
\(668\) | −31.2950 | + | 5.70905i | −1.21084 | + | 0.220890i | ||||
\(669\) | 3.67471 | + | 16.1000i | 0.142073 | + | 0.622461i | ||||
\(670\) | 32.2920 | + | 12.1024i | 1.24755 | + | 0.467556i | ||||
\(671\) | −9.34190 | + | 11.7144i | −0.360640 | + | 0.452229i | ||||
\(672\) | 14.8551 | + | 1.82397i | 0.573047 | + | 0.0703611i | ||||
\(673\) | −29.8400 | − | 37.4182i | −1.15025 | − | 1.44237i | −0.877045 | − | 0.480409i | \(-0.840488\pi\) |
−0.273203 | − | 0.961956i | \(-0.588083\pi\) | |||||||
\(674\) | −10.3796 | − | 31.8950i | −0.399807 | − | 1.22855i | ||||
\(675\) | −6.90861 | − | 8.66313i | −0.265913 | − | 0.333444i | ||||
\(676\) | −24.8836 | − | 6.84273i | −0.957062 | − | 0.263182i | ||||
\(677\) | 13.9261 | + | 11.1057i | 0.535225 | + | 0.426828i | 0.853440 | − | 0.521191i | \(-0.174512\pi\) |
−0.318215 | + | 0.948018i | \(0.603083\pi\) | |||||||
\(678\) | 6.98526 | − | 4.17788i | 0.268267 | − | 0.160450i | ||||
\(679\) | −9.62896 | − | 28.6415i | −0.369526 | − | 1.09916i | ||||
\(680\) | −18.1330 | − | 3.26473i | −0.695371 | − | 0.125197i | ||||
\(681\) | −17.8003 | + | 8.57215i | −0.682107 | + | 0.328486i | ||||
\(682\) | 29.8530 | + | 4.02983i | 1.14313 | + | 0.154310i | ||||
\(683\) | −7.92310 | − | 16.4525i | −0.303169 | − | 0.629537i | 0.692611 | − | 0.721311i | \(-0.256460\pi\) |
−0.995780 | + | 0.0917746i | \(0.970746\pi\) | |||||||
\(684\) | −2.15172 | − | 1.87640i | −0.0822730 | − | 0.0717459i | ||||
\(685\) | 47.3671i | 1.80980i | ||||||||
\(686\) | 25.8334 | − | 4.31697i | 0.986323 | − | 0.164823i | ||||
\(687\) | 6.30984i | 0.240735i | ||||||||
\(688\) | 20.6268 | − | 34.6686i | 0.786389 | − | 1.32173i | ||||
\(689\) | −1.74610 | − | 3.62582i | −0.0665212 | − | 0.138133i | ||||
\(690\) | 1.46538 | − | 10.8556i | 0.0557861 | − | 0.413264i | ||||
\(691\) | 7.18973 | − | 3.46239i | 0.273510 | − | 0.131716i | −0.292101 | − | 0.956387i | \(-0.594354\pi\) |
0.565612 | + | 0.824672i | \(0.308640\pi\) | |||||||
\(692\) | −2.47150 | + | 8.98763i | −0.0939524 | + | 0.341659i | ||||
\(693\) | −2.07091 | − | 6.15996i | −0.0786673 | − | 0.233997i | ||||
\(694\) | 4.77671 | + | 7.98649i | 0.181321 | + | 0.303163i | ||||
\(695\) | 46.5141 | + | 37.0938i | 1.76438 | + | 1.40705i | ||||
\(696\) | 8.93133 | + | 1.60803i | 0.338541 | + | 0.0609520i | ||||
\(697\) | −0.791240 | − | 0.992183i | −0.0299703 | − | 0.0375816i | ||||
\(698\) | −1.59766 | + | 0.519926i | −0.0604723 | + | 0.0196795i | ||||
\(699\) | 3.98451 | + | 4.99642i | 0.150708 | + | 0.188982i | ||||
\(700\) | 54.1665 | + | 22.4453i | 2.04730 | + | 0.848351i | ||||
\(701\) | −4.45988 | + | 5.59251i | −0.168447 | + | 0.211226i | −0.858889 | − | 0.512162i | \(-0.828845\pi\) |
0.690442 | + | 0.723388i | \(0.257416\pi\) | |||||||
\(702\) | −0.154051 | + | 0.411045i | −0.00581430 | + | 0.0155139i | ||||
\(703\) | −2.38825 | − | 10.4636i | −0.0900745 | − | 0.394642i | ||||
\(704\) | 10.1253 | + | 16.8409i | 0.381613 | + | 0.634714i | ||||
\(705\) | 53.0687i | 1.99868i | ||||||||
\(706\) | 27.3039 | − | 8.88551i | 1.02760 | − | 0.334410i | ||||
\(707\) | 23.9557 | + | 24.5514i | 0.900945 | + | 0.923351i | ||||
\(708\) | −0.727695 | + | 16.5442i | −0.0273485 | + | 0.621768i | ||||
\(709\) | 1.19596 | − | 5.23984i | 0.0449152 | − | 0.196786i | −0.947493 | − | 0.319778i | \(-0.896392\pi\) |
0.992408 | + | 0.122992i | \(0.0392488\pi\) | |||||||
\(710\) | −3.14902 | + | 4.77535i | −0.118180 | + | 0.179216i | ||||
\(711\) | −0.186620 | − | 0.148824i | −0.00699878 | − | 0.00558134i | ||||
\(712\) | 22.1992 | − | 1.02777i | 0.831950 | − | 0.0385174i | ||||
\(713\) | 16.3303 | + | 3.72728i | 0.611573 | + | 0.139588i | ||||
\(714\) | −5.96854 | + | 1.14874i | −0.223367 | + | 0.0429904i | ||||
\(715\) | −2.98070 | + | 0.680326i | −0.111472 | + | 0.0254427i | ||||
\(716\) | −8.00965 | − | 43.9061i | −0.299335 | − | 1.64085i | ||||
\(717\) | 20.9865i | 0.783755i | ||||||||
\(718\) | 28.2894 | − | 9.20622i | 1.05575 | − | 0.343573i | ||||
\(719\) | −2.73796 | − | 1.31853i | −0.102109 | − | 0.0491730i | 0.382132 | − | 0.924108i | \(-0.375190\pi\) |
−0.484241 | + | 0.874935i | \(0.660904\pi\) | |||||||
\(720\) | 15.2643 | + | 4.92853i | 0.568866 | + | 0.183675i | ||||
\(721\) | 24.9386 | − | 24.3334i | 0.928761 | − | 0.906224i | ||||
\(722\) | 16.5854 | + | 17.3310i | 0.617246 | + | 0.644993i | ||||
\(723\) | −24.3406 | + | 5.55558i | −0.905236 | + | 0.206614i | ||||
\(724\) | −16.6541 | + | 19.0977i | −0.618943 | + | 0.709759i | ||||
\(725\) | 32.0309 | + | 15.4253i | 1.18960 | + | 0.572881i | ||||
\(726\) | −3.86671 | + | 5.86370i | −0.143507 | + | 0.217622i | ||||
\(727\) | 7.83631 | − | 3.77377i | 0.290632 | − | 0.139961i | −0.282887 | − | 0.959153i | \(-0.591292\pi\) |
0.573519 | + | 0.819192i | \(0.305578\pi\) | |||||||
\(728\) | −0.338344 | − | 2.29801i | −0.0125399 | − | 0.0851699i | ||||
\(729\) | −0.900969 | − | 0.433884i | −0.0333692 | − | 0.0160698i | ||||
\(730\) | 35.1360 | − | 21.0148i | 1.30044 | − | 0.777793i | ||||
\(731\) | −3.64551 | + | 15.9720i | −0.134834 | + | 0.590746i | ||||
\(732\) | −7.18001 | − | 9.86328i | −0.265381 | − | 0.364557i | ||||
\(733\) | 13.6631 | − | 10.8960i | 0.504658 | − | 0.402451i | −0.337796 | − | 0.941219i | \(-0.609681\pi\) |
0.842454 | + | 0.538768i | \(0.181110\pi\) | |||||||
\(734\) | 18.4615 | − | 1.67016i | 0.681428 | − | 0.0616468i | ||||
\(735\) | 28.0619 | + | 0.689394i | 1.03508 | + | 0.0254287i | ||||
\(736\) | 4.76356 | + | 9.83350i | 0.175587 | + | 0.362468i | ||||
\(737\) | 9.31278 | + | 11.6779i | 0.343041 | + | 0.430159i | ||||
\(738\) | 0.567099 | + | 0.948169i | 0.0208752 | + | 0.0349026i | ||||
\(739\) | 20.2468 | + | 4.62121i | 0.744792 | + | 0.169994i | 0.578044 | − | 0.816006i | \(-0.303816\pi\) |
0.166748 | + | 0.986000i | \(0.446673\pi\) | |||||||
\(740\) | 35.4887 | + | 48.7513i | 1.30459 | + | 1.79213i | ||||
\(741\) | −0.192246 | + | 0.399203i | −0.00706233 | + | 0.0146651i | ||||
\(742\) | −31.5279 | + | 36.8696i | −1.15743 | + | 1.35353i | ||||
\(743\) | −7.70535 | − | 16.0003i | −0.282682 | − | 0.586995i | 0.710483 | − | 0.703714i | \(-0.248476\pi\) |
−0.993165 | + | 0.116720i | \(0.962762\pi\) | |||||||
\(744\) | −9.60879 | + | 22.5673i | −0.352275 | + | 0.827357i | ||||
\(745\) | 12.8669 | − | 26.7184i | 0.471407 | − | 0.978886i | ||||
\(746\) | −27.0098 | − | 28.2239i | −0.988898 | − | 1.03335i | ||||
\(747\) | −0.158542 | − | 0.694618i | −0.00580075 | − | 0.0254147i | ||||
\(748\) | −6.01450 | − | 5.24493i | −0.219912 | − | 0.191773i | ||||
\(749\) | 44.1625 | + | 16.0645i | 1.61366 | + | 0.586986i | ||||
\(750\) | 28.7876 | + | 18.9835i | 1.05117 | + | 0.693178i | ||||
\(751\) | 0.730139 | − | 1.51615i | 0.0266431 | − | 0.0553250i | −0.887223 | − | 0.461342i | \(-0.847368\pi\) |
0.913866 | + | 0.406017i | \(0.133083\pi\) | |||||||
\(752\) | −29.2436 | − | 44.1248i | −1.06640 | − | 1.60906i | ||||
\(753\) | −20.0808 | −0.731785 | ||||||||
\(754\) | −0.126896 | − | 1.40268i | −0.00462128 | − | 0.0510825i | ||||
\(755\) | −4.16010 | − | 18.2266i | −0.151402 | − | 0.663334i | ||||
\(756\) | 5.28322 | − | 0.295969i | 0.192149 | − | 0.0107643i | ||||
\(757\) | 8.73619 | − | 38.2757i | 0.317522 | − | 1.39116i | −0.524361 | − | 0.851496i | \(-0.675696\pi\) |
0.841883 | − | 0.539660i | \(-0.181447\pi\) | |||||||
\(758\) | −17.5360 | − | 2.36717i | −0.636936 | − | 0.0859794i | ||||
\(759\) | 2.95813 | − | 3.70938i | 0.107373 | − | 0.134642i | ||||
\(760\) | 14.8966 | + | 6.34271i | 0.540355 | + | 0.230074i | ||||
\(761\) | 35.6181 | + | 8.12960i | 1.29115 | + | 0.294698i | 0.812322 | − | 0.583209i | \(-0.198203\pi\) |
0.478832 | + | 0.877906i | \(0.341060\pi\) | |||||||
\(762\) | −4.00211 | − | 0.540241i | −0.144981 | − | 0.0195709i | ||||
\(763\) | −22.4346 | − | 14.4839i | −0.812187 | − | 0.524352i | ||||
\(764\) | 17.2379 | − | 7.38668i | 0.623647 | − | 0.267241i | ||||
\(765\) | −6.51408 | −0.235517 | ||||||||
\(766\) | 53.7618 | − | 4.86367i | 1.94249 | − | 0.175732i | ||||
\(767\) | 2.50566 | − | 0.571900i | 0.0904741 | − | 0.0206501i | ||||
\(768\) | −15.4076 | + | 4.31352i | −0.555973 | + | 0.155651i | ||||
\(769\) | −30.9715 | − | 24.6989i | −1.11686 | − | 0.890666i | −0.122060 | − | 0.992523i | \(-0.538950\pi\) |
−0.994799 | + | 0.101857i | \(0.967522\pi\) | |||||||
\(770\) | 21.9782 | + | 29.5845i | 0.792040 | + | 1.06615i | ||||
\(771\) | 16.0140 | − | 12.7708i | 0.576731 | − | 0.459928i | ||||
\(772\) | 1.60354 | + | 3.74211i | 0.0577127 | + | 0.134682i | ||||
\(773\) | 6.26391 | − | 4.99530i | 0.225297 | − | 0.179669i | −0.504335 | − | 0.863508i | \(-0.668262\pi\) |
0.729633 | + | 0.683839i | \(0.239691\pi\) | |||||||
\(774\) | 5.00536 | − | 13.3555i | 0.179914 | − | 0.480053i | ||||
\(775\) | −59.9106 | + | 75.1256i | −2.15205 | + | 2.69859i | ||||
\(776\) | 21.2871 | + | 24.2971i | 0.764164 | + | 0.872215i | ||||
\(777\) | 16.7122 | + | 10.7895i | 0.599547 | + | 0.387071i | ||||
\(778\) | 16.3498 | + | 6.12756i | 0.586167 | + | 0.219684i | ||||
\(779\) | 0.483859 | + | 1.00474i | 0.0173360 | + | 0.0359987i | ||||
\(780\) | 0.109391 | − | 2.48700i | 0.00391681 | − | 0.0890488i | ||||
\(781\) | −2.23220 | + | 1.07497i | −0.0798744 | + | 0.0384655i | ||||
\(782\) | −3.06798 | − | 3.20589i | −0.109711 | − | 0.114642i | ||||
\(783\) | 3.20847 | 0.114661 | ||||||||
\(784\) | −23.7124 | + | 14.8904i | −0.846871 | + | 0.531799i | ||||
\(785\) | −76.2614 | −2.72189 | ||||||||
\(786\) | −6.61499 | − | 6.91234i | −0.235949 | − | 0.246555i | ||||
\(787\) | −0.0898893 | + | 0.0432884i | −0.00320421 | + | 0.00154306i | −0.435485 | − | 0.900196i | \(-0.643423\pi\) |
0.432281 | + | 0.901739i | \(0.357709\pi\) | |||||||
\(788\) | 0.891155 | − | 20.2604i | 0.0317461 | − | 0.721748i | ||||
\(789\) | −10.9646 | − | 22.7681i | −0.390348 | − | 0.810567i | ||||
\(790\) | 1.26756 | + | 0.475057i | 0.0450979 | + | 0.0169018i | ||||
\(791\) | −5.20538 | + | 14.3099i | −0.185082 | + | 0.508802i | ||||
\(792\) | 4.57824 | + | 5.22560i | 0.162681 | + | 0.185683i | ||||
\(793\) | −1.18051 | + | 1.48031i | −0.0419211 | + | 0.0525674i | ||||
\(794\) | −5.45323 | + | 14.5505i | −0.193528 | + | 0.516377i | ||||
\(795\) | −40.6486 | + | 32.4162i | −1.44166 | + | 1.14968i | ||||
\(796\) | −11.9278 | − | 27.8353i | −0.422769 | − | 0.986596i | ||||
\(797\) | −32.7138 | + | 26.0884i | −1.15878 | + | 0.924097i | −0.998020 | − | 0.0628960i | \(-0.979966\pi\) |
−0.160761 | + | 0.986993i | \(0.551395\pi\) | |||||||
\(798\) | 5.33799 | + | 0.182948i | 0.188963 | + | 0.00647628i | ||||
\(799\) | 16.8075 | + | 13.4036i | 0.594608 | + | 0.474184i | ||||
\(800\) | −62.6809 | + | 0.144669i | −2.21611 | + | 0.00511482i | ||||
\(801\) | 7.66001 | − | 1.74835i | 0.270653 | − | 0.0617748i | ||||
\(802\) | 29.9423 | − | 2.70879i | 1.05730 | − | 0.0956507i | ||||
\(803\) | 17.7326 | 0.625771 | ||||||||
\(804\) | −11.1787 | + | 4.79023i | −0.394243 | + | 0.168938i | ||||
\(805\) | 10.6891 | + | 17.4846i | 0.376740 | + | 0.616250i | ||||
\(806\) | 3.77243 | + | 0.509238i | 0.132878 | + | 0.0179371i | ||||
\(807\) | 0.785789 | + | 0.179351i | 0.0276611 | + | 0.00631346i | ||||
\(808\) | −33.7396 | − | 14.3658i | −1.18696 | − | 0.505386i | ||||
\(809\) | 6.98235 | − | 8.75560i | 0.245487 | − | 0.307830i | −0.643788 | − | 0.765204i | \(-0.722638\pi\) |
0.889275 | + | 0.457373i | \(0.151210\pi\) | |||||||
\(810\) | 5.62010 | + | 0.758653i | 0.197470 | + | 0.0266563i | ||||
\(811\) | 7.16256 | − | 31.3812i | 0.251511 | − | 1.10194i | −0.678554 | − | 0.734550i | \(-0.737393\pi\) |
0.930066 | − | 0.367393i | \(-0.119750\pi\) | |||||||
\(812\) | −14.8604 | + | 8.21036i | −0.521497 | + | 0.288127i | ||||
\(813\) | 0.726522 | + | 3.18310i | 0.0254802 | + | 0.111636i | ||||
\(814\) | 2.35318 | + | 26.0115i | 0.0824790 | + | 0.911703i | ||||
\(815\) | 79.3578 | 2.77978 | ||||||||
\(816\) | 5.41622 | − | 3.58959i | 0.189606 | − | 0.125661i | ||||
\(817\) | 6.24636 | − | 12.9707i | 0.218532 | − | 0.453787i | ||||
\(818\) | −4.62263 | − | 3.04831i | −0.161626 | − | 0.106582i | ||||
\(819\) | −0.261695 | − | 0.778416i | −0.00914435 | − | 0.0272001i | ||||
\(820\) | −4.72218 | − | 4.11797i | −0.164906 | − | 0.143806i | ||||
\(821\) | 8.37153 | + | 36.6781i | 0.292168 | + | 1.28007i | 0.881501 | + | 0.472182i | \(0.156534\pi\) |
−0.589332 | + | 0.807891i | \(0.700609\pi\) | |||||||
\(822\) | −11.5496 | − | 12.0688i | −0.402840 | − | 0.420948i | ||||
\(823\) | 9.18886 | − | 19.0809i | 0.320303 | − | 0.665117i | −0.677195 | − | 0.735803i | \(-0.736805\pi\) |
0.997499 | + | 0.0706865i | \(0.0225190\pi\) | |||||||
\(824\) | −14.5923 | + | 34.2717i | −0.508347 | + | 1.19391i | ||||
\(825\) | 11.8091 | + | 24.5218i | 0.411139 | + | 0.853739i | ||||
\(826\) | −18.4755 | − | 24.8695i | −0.642844 | − | 0.865321i | ||||
\(827\) | −9.57533 | + | 19.8834i | −0.332967 | + | 0.691413i | −0.998488 | − | 0.0549659i | \(-0.982495\pi\) |
0.665521 | + | 0.746379i | \(0.268209\pi\) | |||||||
\(828\) | 2.27357 | + | 3.12323i | 0.0790119 | + | 0.108540i | ||||
\(829\) | −36.9617 | − | 8.43626i | −1.28373 | − | 0.293003i | −0.474376 | − | 0.880322i | \(-0.657326\pi\) |
−0.809355 | + | 0.587319i | \(0.800183\pi\) | |||||||
\(830\) | 2.07399 | + | 3.46764i | 0.0719892 | + | 0.120363i | ||||
\(831\) | −0.663965 | − | 0.832585i | −0.0230327 | − | 0.0288821i | ||||
\(832\) | 1.27951 | + | 2.12813i | 0.0443590 | + | 0.0737796i | ||||
\(833\) | 7.30593 | − | 8.71344i | 0.253136 | − | 0.301903i | ||||
\(834\) | −20.8962 | + | 1.89041i | −0.723575 | + | 0.0654596i | ||||
\(835\) | 49.8674 | − | 39.7680i | 1.72573 | − | 1.37623i | ||||
\(836\) | 4.12715 | + | 5.66951i | 0.142740 | + | 0.196084i | ||||
\(837\) | −1.92967 | + | 8.45446i | −0.0666993 | + | 0.292229i | ||||
\(838\) | 6.14590 | − | 3.67586i | 0.212307 | − | 0.126980i | ||||
\(839\) | −26.0045 | − | 12.5231i | −0.897774 | − | 0.432345i | −0.0726898 | − | 0.997355i | \(-0.523158\pi\) |
−0.825085 | + | 0.565009i | \(0.808873\pi\) | |||||||
\(840\) | −27.9714 | + | 10.8679i | −0.965106 | + | 0.374976i | ||||
\(841\) | 16.8533 | − | 8.11610i | 0.581147 | − | 0.279865i | ||||
\(842\) | 11.9403 | − | 18.1070i | 0.411491 | − | 0.624008i | ||||
\(843\) | −10.5480 | − | 5.07963i | −0.363291 | − | 0.174952i | ||||
\(844\) | −31.8913 | + | 36.5706i | −1.09774 | + | 1.25881i | ||||
\(845\) | 50.4470 | − | 11.5142i | 1.73543 | − | 0.396101i | ||||
\(846\) | −12.9399 | − | 13.5216i | −0.444882 | − | 0.464881i | ||||
\(847\) | −1.31079 | − | 13.0749i | −0.0450393 | − | 0.449258i | ||||
\(848\) | 15.9349 | − | 49.3524i | 0.547206 | − | 1.69477i | ||||
\(849\) | 5.57583 | + | 2.68518i | 0.191362 | + | 0.0921551i | ||||
\(850\) | 24.2058 | − | 7.87731i | 0.830253 | − | 0.270189i | ||||
\(851\) | 14.5227i | 0.497832i | ||||||||
\(852\) | −0.362037 | − | 1.98456i | −0.0124032 | − | 0.0679899i | ||||
\(853\) | −29.8200 | + | 6.80623i | −1.02102 | + | 0.233041i | −0.700084 | − | 0.714060i | \(-0.746854\pi\) |
−0.320935 | + | 0.947101i | \(0.603997\pi\) | |||||||
\(854\) | 22.0646 | + | 5.83799i | 0.755035 | + | 0.199772i | ||||
\(855\) | 5.58074 | + | 1.27377i | 0.190857 | + | 0.0435619i | ||||
\(856\) | −50.1845 | + | 2.32343i | −1.71527 | + | 0.0794131i | ||||
\(857\) | −17.3170 | − | 13.8099i | −0.591538 | − | 0.471736i | 0.281384 | − | 0.959595i | \(-0.409207\pi\) |
−0.872922 | + | 0.487859i | \(0.837778\pi\) | |||||||
\(858\) | 0.593577 | − | 0.900134i | 0.0202644 | − | 0.0307301i | ||||
\(859\) | 6.01821 | − | 26.3675i | 0.205339 | − | 0.899648i | −0.762283 | − | 0.647244i | \(-0.775922\pi\) |
0.967622 | − | 0.252404i | \(-0.0812213\pi\) | |||||||
\(860\) | −3.55427 | + | 80.8063i | −0.121199 | + | 2.75547i | ||||
\(861\) | −1.94241 | − | 0.706570i | −0.0661971 | − | 0.0240799i | ||||
\(862\) | −49.1331 | + | 15.9894i | −1.67348 | + | 0.544601i | ||||
\(863\) | − | 4.60588i | − | 0.156786i | −0.996923 | − | 0.0783929i | \(-0.975021\pi\) | ||
0.996923 | − | 0.0783929i | \(-0.0249789\pi\) | |||||||
\(864\) | −5.09097 | + | 2.46617i | −0.173198 | + | 0.0839009i | ||||
\(865\) | −4.15878 | − | 18.2208i | −0.141403 | − | 0.619526i | ||||
\(866\) | −11.9402 | + | 31.8594i | −0.405746 | + | 1.08263i | ||||
\(867\) | 8.95407 | − | 11.2280i | 0.304096 | − | 0.381324i | ||||
\(868\) | −12.6971 | − | 44.0956i | −0.430969 | − | 1.49670i | ||||
\(869\) | 0.365556 | + | 0.458393i | 0.0124007 | + | 0.0155499i | ||||
\(870\) | −17.3023 | + | 5.63071i | −0.586605 | + | 0.190899i | ||||
\(871\) | 1.17683 | + | 1.47570i | 0.0398753 | + | 0.0500020i | ||||
\(872\) | 28.0959 | + | 5.05847i | 0.951446 | + | 0.171301i | ||||
\(873\) | 8.92920 | + | 7.12080i | 0.302208 | + | 0.241003i | ||||
\(874\) | 2.00152 | + | 3.34646i | 0.0677023 | + | 0.113196i | ||||
\(875\) | −64.1906 | + | 6.43527i | −2.17004 | + | 0.217552i | ||||
\(876\) | −3.82833 | + | 13.9217i | −0.129347 | + | 0.470372i | ||||
\(877\) | −22.2154 | + | 10.6984i | −0.750162 | + | 0.361259i | −0.769578 | − | 0.638552i | \(-0.779534\pi\) |
0.0194162 | + | 0.999811i | \(0.493819\pi\) | |||||||
\(878\) | −3.48100 | + | 25.7873i | −0.117478 | + | 0.870279i | ||||
\(879\) | 2.63522 | + | 5.47208i | 0.0888836 | + | 0.184569i | ||||
\(880\) | −33.8598 | − | 20.1455i | −1.14141 | − | 0.679105i | ||||
\(881\) | 20.1714i | 0.679591i | 0.940499 | + | 0.339796i | \(0.110358\pi\) | ||||
−0.940499 | + | 0.339796i | \(0.889642\pi\) | |||||||
\(882\) | −7.31808 | + | 6.66676i | −0.246413 | + | 0.224481i | ||||
\(883\) | 33.9620i | 1.14291i | 0.820632 | + | 0.571457i | \(0.193622\pi\) | ||||
−0.820632 | + | 0.571457i | \(0.806378\pi\) | |||||||
\(884\) | −0.760035 | − | 0.662786i | −0.0255627 | − | 0.0222919i | ||||
\(885\) | −14.4065 | − | 29.9154i | −0.484269 | − | 1.00560i | ||||
\(886\) | −16.0605 | − | 2.16800i | −0.539564 | − | 0.0728353i | ||||
\(887\) | −30.8240 | + | 14.8440i | −1.03497 | + | 0.498414i | −0.872661 | − | 0.488326i | \(-0.837608\pi\) |
−0.162307 | + | 0.986740i | \(0.551893\pi\) | |||||||
\(888\) | −20.9294 | − | 3.76820i | −0.702346 | − | 0.126453i | ||||
\(889\) | 6.44602 | − | 3.94072i | 0.216193 | − | 0.132168i | ||||
\(890\) | −38.2399 | + | 22.8713i | −1.28181 | + | 0.766646i | ||||
\(891\) | 1.92041 | + | 1.53148i | 0.0643362 | + | 0.0513064i | ||||
\(892\) | 31.8459 | + | 8.75727i | 1.06628 | + | 0.293215i | ||||
\(893\) | −11.7784 | − | 14.7697i | −0.394149 | − | 0.494248i | ||||
\(894\) | 3.23641 | + | 9.94503i | 0.108242 | + | 0.332612i | ||||
\(895\) | 55.7934 | + | 69.9628i | 1.86497 | + | 2.33860i | ||||
\(896\) | 17.2685 | − | 24.4499i | 0.576900 | − | 0.816815i | ||||
\(897\) | 0.373811 | − | 0.468744i | 0.0124812 | − | 0.0156509i | ||||
\(898\) | −34.2924 | − | 12.8521i | −1.14435 | − | 0.428880i | ||||
\(899\) | −6.19131 | − | 27.1259i | −0.206492 | − | 0.904699i | ||||
\(900\) | −21.8013 | + | 3.97715i | −0.726710 | + | 0.132572i | ||||
\(901\) | 21.0613i | 0.701652i | ||||||||
\(902\) | −0.839790 | − | 2.58056i | −0.0279620 | − | 0.0859231i | ||||
\(903\) | 8.50285 | + | 25.2919i | 0.282957 | + | 0.841662i | ||||
\(904\) | −0.752858 | − | 16.2612i | −0.0250397 | − | 0.540840i | ||||
\(905\) | 11.3054 | − | 49.5321i | 0.375804 | − | 1.64650i | ||||
\(906\) | 5.50420 | + | 3.62964i | 0.182865 | + | 0.120587i | ||||
\(907\) | 20.5313 | + | 16.3731i | 0.681730 | + | 0.543661i | 0.901978 | − | 0.431783i | \(-0.142115\pi\) |
−0.220248 | + | 0.975444i | \(0.570687\pi\) | |||||||
\(908\) | −1.73633 | + | 39.4754i | −0.0576220 | + | 1.31004i | ||||
\(909\) | −12.6400 | − | 2.88499i | −0.419242 | − | 0.0956891i | ||||
\(910\) | 2.77732 | + | 3.73851i | 0.0920673 | + | 0.123930i | ||||
\(911\) | 1.78037 | − | 0.406357i | 0.0589862 | − | 0.0134632i | −0.192926 | − | 0.981213i | \(-0.561798\pi\) |
0.251912 | + | 0.967750i | \(0.418941\pi\) | |||||||
\(912\) | −5.34210 | + | 2.01618i | −0.176895 | + | 0.0667625i | ||||
\(913\) | 1.75007i | 0.0579187i | ||||||||
\(914\) | −7.54318 | − | 23.1791i | −0.249506 | − | 0.766697i | ||||
\(915\) | 22.0387 | + | 10.6133i | 0.728576 | + | 0.350864i | ||||
\(916\) | 11.1183 | + | 5.96981i | 0.367361 | + | 0.197248i | ||||
\(917\) | 17.7608 | + | 2.22237i | 0.586513 | + | 0.0733890i | ||||
\(918\) | 1.65974 | − | 1.58834i | 0.0547797 | − | 0.0524232i | ||||
\(919\) | −34.8568 | + | 7.95585i | −1.14982 | + | 0.262439i | −0.754624 | − | 0.656157i | \(-0.772181\pi\) |
−0.395197 | + | 0.918596i | \(0.629324\pi\) | |||||||
\(920\) | −17.7418 | − | 12.8527i | −0.584929 | − | 0.423740i | ||||
\(921\) | 3.90163 | + | 1.87893i | 0.128563 | + | 0.0619127i | ||||
\(922\) | 39.5210 | + | 26.0614i | 1.30156 | + | 0.858287i | ||||
\(923\) | −0.282077 | + | 0.135841i | −0.00928467 | + | 0.00447126i | ||||
\(924\) | −12.8136 | − | 2.17893i | −0.421535 | − | 0.0716815i | ||||
\(925\) | −75.0604 | − | 36.1472i | −2.46797 | − | 1.18851i | ||||
\(926\) | −13.0250 | − | 21.7774i | −0.428029 | − | 0.715650i | ||||
\(927\) | −2.93049 | + | 12.8393i | −0.0962498 | + | 0.421698i | ||||
\(928\) | 11.2835 | − | 14.2162i | 0.370398 | − | 0.466670i | ||||
\(929\) | −37.6649 | + | 30.0367i | −1.23574 | + | 0.985474i | −0.235838 | + | 0.971792i | \(0.575784\pi\) |
−0.999906 | + | 0.0136813i | \(0.995645\pi\) | |||||||
\(930\) | −4.43097 | − | 48.9789i | −0.145297 | − | 1.60608i | ||||
\(931\) | −7.96297 | + | 6.03637i | −0.260976 | + | 0.197834i | ||||
\(932\) | 12.5738 | − | 2.29380i | 0.411868 | − | 0.0751359i | ||||
\(933\) | 13.6006 | + | 17.0546i | 0.445263 | + | 0.558342i | ||||
\(934\) | 4.16909 | − | 2.49353i | 0.136417 | − | 0.0815906i | ||||
\(935\) | 15.5993 | + | 3.56045i | 0.510153 | + | 0.116439i | ||||
\(936\) | 0.578539 | + | 0.660343i | 0.0189101 | + | 0.0215840i | ||||
\(937\) | 8.12070 | − | 16.8628i | 0.265292 | − | 0.550884i | −0.725187 | − | 0.688552i | \(-0.758247\pi\) |
0.990478 | + | 0.137668i | \(0.0439608\pi\) | |||||||
\(938\) | 10.5684 | − | 20.1493i | 0.345070 | − | 0.657898i | ||||
\(939\) | −14.4283 | − | 29.9607i | −0.470850 | − | 0.977731i | ||||
\(940\) | 93.5106 | + | 50.2089i | 3.04998 | + | 1.63763i | ||||
\(941\) | −5.11264 | + | 10.6165i | −0.166667 | + | 0.346088i | −0.967529 | − | 0.252762i | \(-0.918661\pi\) |
0.800861 | + | 0.598850i | \(0.204375\pi\) | |||||||
\(942\) | 19.4309 | − | 18.5950i | 0.633092 | − | 0.605858i | ||||
\(943\) | −0.335780 | − | 1.47115i | −0.0109345 | − | 0.0479072i | ||||
\(944\) | 28.4634 | + | 16.9349i | 0.926405 | + | 0.551183i | ||||
\(945\) | −9.05206 | + | 5.53391i | −0.294463 | + | 0.180018i | ||||
\(946\) | −19.2862 | + | 29.2467i | −0.627049 | + | 0.950892i | ||||
\(947\) | −10.0151 | + | 20.7966i | −0.325447 | + | 0.675798i | −0.997930 | − | 0.0643151i | \(-0.979514\pi\) |
0.672483 | + | 0.740113i | \(0.265228\pi\) | |||||||
\(948\) | −0.438801 | + | 0.188032i | −0.0142516 | + | 0.00610699i | ||||
\(949\) | 2.24082 | 0.0727402 | ||||||||
\(950\) | −22.2780 | + | 2.01542i | −0.722793 | + | 0.0653889i | ||||
\(951\) | −3.73011 | − | 16.3427i | −0.120957 | − | 0.529948i | ||||
\(952\) | −3.62275 | + | 11.6038i | −0.117414 | + | 0.376081i | ||||
\(953\) | −5.56992 | + | 24.4034i | −0.180427 | + | 0.790504i | 0.800999 | + | 0.598666i | \(0.204302\pi\) |
−0.981426 | + | 0.191839i | \(0.938555\pi\) | |||||||
\(954\) | 2.45287 | − | 18.1709i | 0.0794146 | − | 0.588304i | ||||
\(955\) | −23.4445 | + | 29.3985i | −0.758648 | + | 0.951314i | ||||
\(956\) | 36.9796 | + | 19.8555i | 1.19600 | + | 0.642174i | ||||
\(957\) | −7.68337 | − | 1.75368i | −0.248368 | − | 0.0566884i | ||||
\(958\) | 2.26733 | − | 16.7964i | 0.0732540 | − | 0.542666i | ||||
\(959\) | 31.0100 | + | 3.88021i | 1.00136 | + | 0.125298i | ||||
\(960\) | 23.1261 | − | 22.2337i | 0.746392 | − | 0.717591i | ||||
\(961\) | 44.2015 | 1.42585 | ||||||||
\(962\) | 0.297365 | + | 3.28700i | 0.00958743 | + | 0.105977i | ||||
\(963\) | −17.3166 | + | 3.95239i | −0.558019 | + | 0.127364i | ||||
\(964\) | −13.2396 | + | 48.1459i | −0.426419 | + | 1.55067i | ||||
\(965\) | −6.38200 | − | 5.08948i | −0.205444 | − | 0.163836i | ||||
\(966\) | −6.98680 | − | 1.84861i | −0.224797 | − | 0.0594781i | ||||
\(967\) | 19.1757 | − | 15.2921i | 0.616650 | − | 0.491762i | −0.264634 | − | 0.964349i | \(-0.585251\pi\) |
0.881284 | + | 0.472587i | \(0.156680\pi\) | |||||||
\(968\) | 6.67388 | + | 12.3611i | 0.214507 | + | 0.397301i | ||||
\(969\) | 1.81294 | − | 1.44578i | 0.0582402 | − | 0.0464450i | ||||
\(970\) | −60.6492 | − | 22.7301i | −1.94733 | − | 0.729819i | ||||
\(971\) | −1.86954 | + | 2.34433i | −0.0599964 | + | 0.0752331i | −0.810924 | − | 0.585151i | \(-0.801035\pi\) |
0.750928 | + | 0.660384i | \(0.229607\pi\) | |||||||
\(972\) | −1.61695 | + | 1.17706i | −0.0518636 | + | 0.0377543i | ||||
\(973\) | 28.0947 | − | 27.4129i | 0.900674 | − | 0.878819i | ||||
\(974\) | 11.5745 | − | 30.8835i | 0.370871 | − | 0.989571i | ||||
\(975\) | 1.49228 | + | 3.09875i | 0.0477911 | + | 0.0992393i | ||||
\(976\) | −24.1728 | + | 3.31990i | −0.773753 | + | 0.106267i | ||||
\(977\) | −21.5930 | + | 10.3986i | −0.690821 | + | 0.332682i | −0.746142 | − | 0.665787i | \(-0.768096\pi\) |
0.0553213 | + | 0.998469i | \(0.482382\pi\) | |||||||
\(978\) | −20.2198 | + | 19.3500i | −0.646559 | + | 0.618745i | ||||
\(979\) | −19.2991 | −0.616803 | ||||||||
\(980\) | 27.7645 | − | 48.7947i | 0.886903 | − | 1.55869i | ||||
\(981\) | 10.0931 | 0.322248 | ||||||||
\(982\) | −1.75088 | + | 1.67556i | −0.0558727 | + | 0.0534692i | ||||
\(983\) | 16.9449 | − | 8.16023i | 0.540458 | − | 0.260271i | −0.143679 | − | 0.989624i | \(-0.545893\pi\) |
0.684137 | + | 0.729353i | \(0.260179\pi\) | |||||||
\(984\) | 2.20727 | − | 0.102192i | 0.0703653 | − | 0.00325776i | ||||
\(985\) | 17.6426 | + | 36.6352i | 0.562139 | + | 1.16729i | ||||
\(986\) | −2.58674 | + | 6.90202i | −0.0823784 | + | 0.219805i | ||||
\(987\) | 34.7427 | + | 4.34728i | 1.10587 | + | 0.138375i | ||||
\(988\) | 0.521535 | + | 0.716440i | 0.0165922 | + | 0.0227930i | ||||
\(989\) | −12.1457 | + | 15.2302i | −0.386210 | + | 0.484292i | ||||
\(990\) | −13.0439 | − | 4.88858i | −0.414561 | − | 0.155369i | ||||
\(991\) | 27.3402 | − | 21.8031i | 0.868490 | − | 0.692598i | −0.0842301 | − | 0.996446i | \(-0.526843\pi\) |
0.952720 | + | 0.303848i | \(0.0982716\pi\) | |||||||
\(992\) | 30.6741 | + | 38.2825i | 0.973903 | + | 1.21547i | ||||
\(993\) | −7.57044 | + | 6.03723i | −0.240241 | + | 0.191586i | ||||
\(994\) | 2.86834 | + | 2.45276i | 0.0909781 | + | 0.0777970i | ||||
\(995\) | 47.4718 | + | 37.8575i | 1.50496 | + | 1.20016i | ||||
\(996\) | −1.37396 | − | 0.377824i | −0.0435356 | − | 0.0119718i | ||||
\(997\) | −23.4842 | + | 5.36012i | −0.743753 | + | 0.169757i | −0.577574 | − | 0.816339i | \(-0.696000\pi\) |
−0.166180 | + | 0.986095i | \(0.553143\pi\) | |||||||
\(998\) | 1.38882 | + | 15.3517i | 0.0439624 | + | 0.485950i | ||||
\(999\) | −7.51865 | −0.237879 |
(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 | 588.2.x.a.139.8 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.b.139.9 | yes | 168 | ||
49.6 | odd | 14 | 588.2.x.b.55.9 | yes | 168 | ||
196.55 | even | 14 | inner | 588.2.x.a.55.8 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.8 | ✓ | 168 | 196.55 | even | 14 | inner | |
588.2.x.a.139.8 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.55.9 | yes | 168 | 49.6 | odd | 14 | ||
588.2.x.b.139.9 | yes | 168 | 4.3 | odd | 2 |