Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + \cdots + 81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Root | \(-0.978711 - 1.69518i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.71 |
Dual form | 370.2.o.a.271.1 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −1.90337 | + | 1.59711i | −1.09891 | + | 0.922094i | −0.997351 | − | 0.0727357i | \(-0.976827\pi\) |
−0.101558 | + | 0.994830i | \(0.532383\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.939693 | − | 0.342020i | −0.420243 | − | 0.152956i | ||||
\(6\) | −2.48467 | −1.01436 | ||||||||
\(7\) | −4.17420 | − | 1.51928i | −1.57770 | − | 0.574235i | −0.602997 | − | 0.797744i | \(-0.706027\pi\) |
−0.974702 | + | 0.223508i | \(0.928249\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.551085 | − | 3.12536i | 0.183695 | − | 1.04179i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | 2.64376 | − | 4.57913i | 0.797125 | − | 1.38066i | −0.124356 | − | 0.992238i | \(-0.539687\pi\) |
0.921481 | − | 0.388423i | \(-0.126980\pi\) | |||||||
\(12\) | −1.90337 | − | 1.59711i | −0.549454 | − | 0.461047i | ||||
\(13\) | −0.291695 | − | 1.65429i | −0.0809017 | − | 0.458816i | −0.998166 | − | 0.0605371i | \(-0.980719\pi\) |
0.917264 | − | 0.398279i | \(-0.130392\pi\) | |||||||
\(14\) | −2.22104 | − | 3.84696i | −0.593599 | − | 1.02814i | ||||
\(15\) | 2.33482 | − | 0.849806i | 0.602849 | − | 0.219419i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −1.09771 | + | 6.22544i | −0.266234 | + | 1.50989i | 0.499263 | + | 0.866451i | \(0.333604\pi\) |
−0.765497 | + | 0.643439i | \(0.777507\pi\) | |||||||
\(18\) | 2.43110 | − | 2.03993i | 0.573015 | − | 0.480817i | ||||
\(19\) | −0.698396 | + | 0.586024i | −0.160223 | + | 0.134443i | −0.719374 | − | 0.694622i | \(-0.755571\pi\) |
0.559152 | + | 0.829065i | \(0.311127\pi\) | |||||||
\(20\) | 0.173648 | − | 0.984808i | 0.0388289 | − | 0.220210i | ||||
\(21\) | 10.3715 | − | 3.77492i | 2.26325 | − | 0.823754i | ||||
\(22\) | 4.96865 | − | 1.80844i | 1.05932 | − | 0.385561i | ||||
\(23\) | −2.72974 | − | 4.72805i | −0.569190 | − | 0.985866i | −0.996646 | − | 0.0818301i | \(-0.973924\pi\) |
0.427456 | − | 0.904036i | \(-0.359410\pi\) | |||||||
\(24\) | −0.431458 | − | 2.44692i | −0.0880710 | − | 0.499475i | ||||
\(25\) | 0.766044 | + | 0.642788i | 0.153209 | + | 0.128558i | ||||
\(26\) | 0.839903 | − | 1.45475i | 0.164718 | − | 0.285301i | ||||
\(27\) | 0.215636 | + | 0.373493i | 0.0414992 | + | 0.0718787i | ||||
\(28\) | 0.771361 | − | 4.37460i | 0.145773 | − | 0.826722i | ||||
\(29\) | −3.39563 | + | 5.88140i | −0.630552 | + | 1.09215i | 0.356887 | + | 0.934148i | \(0.383838\pi\) |
−0.987439 | + | 0.158001i | \(0.949495\pi\) | |||||||
\(30\) | 2.33482 | + | 0.849806i | 0.426279 | + | 0.155153i | ||||
\(31\) | −8.00290 | −1.43736 | −0.718682 | − | 0.695339i | \(-0.755254\pi\) | ||||
−0.718682 | + | 0.695339i | \(0.755254\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 2.28135 | + | 12.9382i | 0.397131 | + | 2.25224i | ||||
\(34\) | −4.84253 | + | 4.06337i | −0.830487 | + | 0.696861i | ||||
\(35\) | 3.40284 | + | 2.85532i | 0.575184 | + | 0.482637i | ||||
\(36\) | 3.17357 | 0.528929 | ||||||||
\(37\) | −5.41482 | − | 2.77124i | −0.890190 | − | 0.455589i | ||||
\(38\) | −0.911691 | −0.147896 | ||||||||
\(39\) | 3.19728 | + | 2.68284i | 0.511975 | + | 0.429598i | ||||
\(40\) | 0.766044 | − | 0.642788i | 0.121122 | − | 0.101634i | ||||
\(41\) | −1.27692 | − | 7.24177i | −0.199421 | − | 1.13097i | −0.905980 | − | 0.423320i | \(-0.860865\pi\) |
0.706559 | − | 0.707654i | \(-0.250246\pi\) | |||||||
\(42\) | 10.3715 | + | 3.77492i | 1.60036 | + | 0.582482i | ||||
\(43\) | −2.18931 | −0.333866 | −0.166933 | − | 0.985968i | \(-0.553386\pi\) | ||||
−0.166933 | + | 0.985968i | \(0.553386\pi\) | |||||||
\(44\) | 4.96865 | + | 1.80844i | 0.749052 | + | 0.272633i | ||||
\(45\) | −1.58679 | + | 2.74840i | −0.236544 | + | 0.409707i | ||||
\(46\) | 0.948029 | − | 5.37654i | 0.139779 | − | 0.792727i | ||||
\(47\) | −1.72291 | − | 2.98416i | −0.251312 | − | 0.435285i | 0.712575 | − | 0.701596i | \(-0.247529\pi\) |
−0.963887 | + | 0.266311i | \(0.914195\pi\) | |||||||
\(48\) | 1.24233 | − | 2.15179i | 0.179315 | − | 0.310583i | ||||
\(49\) | 9.75339 | + | 8.18407i | 1.39334 | + | 1.16915i | ||||
\(50\) | 0.173648 | + | 0.984808i | 0.0245576 | + | 0.139273i | ||||
\(51\) | −7.85338 | − | 13.6025i | −1.09969 | − | 1.90472i | ||||
\(52\) | 1.57850 | − | 0.574527i | 0.218899 | − | 0.0796726i | ||||
\(53\) | −1.95307 | + | 0.710861i | −0.268275 | + | 0.0976442i | −0.472655 | − | 0.881247i | \(-0.656704\pi\) |
0.204380 | + | 0.978892i | \(0.434482\pi\) | |||||||
\(54\) | −0.0748896 | + | 0.424720i | −0.0101912 | + | 0.0577971i | ||||
\(55\) | −4.05048 | + | 3.39876i | −0.546167 | + | 0.458288i | ||||
\(56\) | 3.40284 | − | 2.85532i | 0.454723 | − | 0.381558i | ||||
\(57\) | 0.393356 | − | 2.23083i | 0.0521013 | − | 0.295481i | ||||
\(58\) | −6.38169 | + | 2.32275i | −0.837957 | + | 0.304991i | ||||
\(59\) | −8.25951 | + | 3.00622i | −1.07530 | + | 0.391376i | −0.818155 | − | 0.574998i | \(-0.805003\pi\) |
−0.257142 | + | 0.966374i | \(0.582781\pi\) | |||||||
\(60\) | 1.24233 | + | 2.15179i | 0.160385 | + | 0.277794i | ||||
\(61\) | 0.910483 | + | 5.16361i | 0.116575 | + | 0.661132i | 0.985958 | + | 0.166993i | \(0.0534057\pi\) |
−0.869383 | + | 0.494139i | \(0.835483\pi\) | |||||||
\(62\) | −6.13058 | − | 5.14416i | −0.778584 | − | 0.653309i | ||||
\(63\) | −7.04865 | + | 12.2086i | −0.888046 | + | 1.53814i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.291695 | + | 1.65429i | −0.0361803 | + | 0.205189i | ||||
\(66\) | −6.56888 | + | 11.3776i | −0.808573 | + | 1.40049i | ||||
\(67\) | 4.61923 | + | 1.68126i | 0.564329 | + | 0.205399i | 0.608402 | − | 0.793629i | \(-0.291811\pi\) |
−0.0440723 | + | 0.999028i | \(0.514033\pi\) | |||||||
\(68\) | −6.32147 | −0.766591 | ||||||||
\(69\) | 12.7469 | + | 4.63950i | 1.53455 | + | 0.558530i | ||||
\(70\) | 0.771361 | + | 4.37460i | 0.0921952 | + | 0.522865i | ||||
\(71\) | 6.18835 | − | 5.19265i | 0.734422 | − | 0.616254i | −0.196911 | − | 0.980421i | \(-0.563091\pi\) |
0.931333 | + | 0.364168i | \(0.118647\pi\) | |||||||
\(72\) | 2.43110 | + | 2.03993i | 0.286508 | + | 0.240408i | ||||
\(73\) | 8.95395 | 1.04798 | 0.523990 | − | 0.851724i | \(-0.324443\pi\) | ||||
0.523990 | + | 0.851724i | \(0.324443\pi\) | |||||||
\(74\) | −2.36667 | − | 5.60347i | −0.275120 | − | 0.651390i | ||||
\(75\) | −2.48467 | −0.286905 | ||||||||
\(76\) | −0.698396 | − | 0.586024i | −0.0801115 | − | 0.0672215i | ||||
\(77\) | −17.9926 | + | 15.0976i | −2.05045 | + | 1.72053i | ||||
\(78\) | 0.724765 | + | 4.11035i | 0.0820635 | + | 0.465405i | ||||
\(79\) | 3.47243 | + | 1.26386i | 0.390679 | + | 0.142195i | 0.529888 | − | 0.848067i | \(-0.322234\pi\) |
−0.139209 | + | 0.990263i | \(0.544456\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 7.93961 | + | 2.88978i | 0.882178 | + | 0.321087i | ||||
\(82\) | 3.67674 | − | 6.36830i | 0.406028 | − | 0.703261i | ||||
\(83\) | −3.03841 | + | 17.2317i | −0.333509 | + | 1.89142i | 0.107977 | + | 0.994153i | \(0.465563\pi\) |
−0.441485 | + | 0.897269i | \(0.645548\pi\) | |||||||
\(84\) | 5.51856 | + | 9.55842i | 0.602124 | + | 1.04291i | ||||
\(85\) | 3.16074 | − | 5.47456i | 0.342830 | − | 0.593799i | ||||
\(86\) | −1.67711 | − | 1.40726i | −0.180847 | − | 0.151749i | ||||
\(87\) | −2.93014 | − | 16.6177i | −0.314144 | − | 1.78160i | ||||
\(88\) | 2.64376 | + | 4.57913i | 0.281826 | + | 0.488137i | ||||
\(89\) | −5.71200 | + | 2.07900i | −0.605470 | + | 0.220373i | −0.626520 | − | 0.779405i | \(-0.715521\pi\) |
0.0210498 | + | 0.999778i | \(0.493299\pi\) | |||||||
\(90\) | −2.98218 | + | 1.08543i | −0.314350 | + | 0.114414i | ||||
\(91\) | −1.29574 | + | 7.34848i | −0.135830 | + | 0.770330i | ||||
\(92\) | 4.18220 | − | 3.50929i | 0.436025 | − | 0.365868i | ||||
\(93\) | 15.2324 | − | 12.7815i | 1.57953 | − | 1.32538i | ||||
\(94\) | 0.598359 | − | 3.39347i | 0.0617161 | − | 0.350009i | ||||
\(95\) | 0.856709 | − | 0.311817i | 0.0878965 | − | 0.0319917i | ||||
\(96\) | 2.33482 | − | 0.849806i | 0.238297 | − | 0.0867330i | ||||
\(97\) | 4.75971 | + | 8.24405i | 0.483275 | + | 0.837057i | 0.999816 | − | 0.0192059i | \(-0.00611381\pi\) |
−0.516541 | + | 0.856263i | \(0.672780\pi\) | |||||||
\(98\) | 2.21091 | + | 12.5387i | 0.223336 | + | 1.26660i | ||||
\(99\) | −12.8545 | − | 10.7862i | −1.29193 | − | 1.08405i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | −0.519922 | − | 0.900531i | −0.0517341 | − | 0.0896061i | 0.838999 | − | 0.544134i | \(-0.183142\pi\) |
−0.890733 | + | 0.454527i | \(0.849808\pi\) | |||||||
\(102\) | 2.72745 | − | 15.4681i | 0.270058 | − | 1.53157i | ||||
\(103\) | −1.93364 | + | 3.34916i | −0.190527 | + | 0.330003i | −0.945425 | − | 0.325839i | \(-0.894353\pi\) |
0.754898 | + | 0.655842i | \(0.227686\pi\) | |||||||
\(104\) | 1.57850 | + | 0.574527i | 0.154785 | + | 0.0563370i | ||||
\(105\) | −11.0371 | −1.07711 | ||||||||
\(106\) | −1.95307 | − | 0.710861i | −0.189699 | − | 0.0690449i | ||||
\(107\) | 1.49178 | + | 8.46033i | 0.144216 | + | 0.817891i | 0.967993 | + | 0.250977i | \(0.0807518\pi\) |
−0.823777 | + | 0.566914i | \(0.808137\pi\) | |||||||
\(108\) | −0.330374 | + | 0.277216i | −0.0317902 | + | 0.0266752i | ||||
\(109\) | 1.47875 | + | 1.24082i | 0.141638 | + | 0.118849i | 0.710854 | − | 0.703340i | \(-0.248309\pi\) |
−0.569216 | + | 0.822188i | \(0.692753\pi\) | |||||||
\(110\) | −5.28753 | −0.504146 | ||||||||
\(111\) | 14.7324 | − | 3.37339i | 1.39833 | − | 0.320188i | ||||
\(112\) | 4.44209 | 0.419738 | ||||||||
\(113\) | −14.2667 | − | 11.9712i | −1.34210 | − | 1.12616i | −0.981081 | − | 0.193598i | \(-0.937984\pi\) |
−0.361019 | − | 0.932558i | \(-0.617571\pi\) | |||||||
\(114\) | 1.73528 | − | 1.45607i | 0.162524 | − | 0.136374i | ||||
\(115\) | 0.948029 | + | 5.37654i | 0.0884041 | + | 0.501365i | ||||
\(116\) | −6.38169 | − | 2.32275i | −0.592525 | − | 0.215662i | ||||
\(117\) | −5.33098 | −0.492850 | ||||||||
\(118\) | −8.25951 | − | 3.00622i | −0.760350 | − | 0.276745i | ||||
\(119\) | 14.0403 | − | 24.3185i | 1.28707 | − | 2.22927i | ||||
\(120\) | −0.431458 | + | 2.44692i | −0.0393865 | + | 0.223372i | ||||
\(121\) | −8.47898 | − | 14.6860i | −0.770816 | − | 1.33509i | ||||
\(122\) | −2.62163 | + | 4.54080i | −0.237351 | + | 0.411105i | ||||
\(123\) | 13.9964 | + | 11.7443i | 1.26201 | + | 1.05895i | ||||
\(124\) | −1.38969 | − | 7.88132i | −0.124798 | − | 0.707763i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | −13.2471 | + | 4.82156i | −1.18015 | + | 0.429539i | ||||
\(127\) | 19.5599 | − | 7.11922i | 1.73566 | − | 0.631729i | 0.736652 | − | 0.676272i | \(-0.236405\pi\) |
0.999007 | + | 0.0445431i | \(0.0141832\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | 4.16705 | − | 3.49657i | 0.366888 | − | 0.307856i | ||||
\(130\) | −1.28681 | + | 1.07976i | −0.112860 | + | 0.0947010i | ||||
\(131\) | 1.08728 | − | 6.16629i | 0.0949963 | − | 0.538751i | −0.899752 | − | 0.436401i | \(-0.856253\pi\) |
0.994748 | − | 0.102350i | \(-0.0326361\pi\) | |||||||
\(132\) | −12.3454 | + | 4.49338i | −1.07453 | + | 0.391098i | ||||
\(133\) | 3.80558 | − | 1.38512i | 0.329985 | − | 0.120105i | ||||
\(134\) | 2.45784 | + | 4.25711i | 0.212325 | + | 0.367758i | ||||
\(135\) | −0.0748896 | − | 0.424720i | −0.00644547 | − | 0.0365541i | ||||
\(136\) | −4.84253 | − | 4.06337i | −0.415244 | − | 0.348431i | ||||
\(137\) | 11.3335 | − | 19.6303i | 0.968289 | − | 1.67713i | 0.267785 | − | 0.963479i | \(-0.413708\pi\) |
0.700505 | − | 0.713648i | \(-0.252958\pi\) | |||||||
\(138\) | 6.78250 | + | 11.7476i | 0.577364 | + | 1.00002i | ||||
\(139\) | 0.372620 | − | 2.11323i | 0.0316052 | − | 0.179242i | −0.964919 | − | 0.262549i | \(-0.915437\pi\) |
0.996524 | + | 0.0833066i | \(0.0265481\pi\) | |||||||
\(140\) | −2.22104 | + | 3.84696i | −0.187713 | + | 0.325128i | ||||
\(141\) | 8.04537 | + | 2.92828i | 0.677542 | + | 0.246605i | ||||
\(142\) | 8.07832 | 0.677918 | ||||||||
\(143\) | −8.34637 | − | 3.03783i | −0.697958 | − | 0.254036i | ||||
\(144\) | 0.551085 | + | 3.12536i | 0.0459238 | + | 0.260447i | ||||
\(145\) | 5.20240 | − | 4.36533i | 0.432036 | − | 0.362521i | ||||
\(146\) | 6.85912 | + | 5.75549i | 0.567665 | + | 0.476328i | ||||
\(147\) | −31.6352 | −2.60922 | ||||||||
\(148\) | 1.78887 | − | 5.81377i | 0.147044 | − | 0.477889i | ||||
\(149\) | −11.1833 | −0.916168 | −0.458084 | − | 0.888909i | \(-0.651464\pi\) | ||||
−0.458084 | + | 0.888909i | \(0.651464\pi\) | |||||||
\(150\) | −1.90337 | − | 1.59711i | −0.155409 | − | 0.130404i | ||||
\(151\) | −14.2996 | + | 11.9988i | −1.16369 | + | 0.976450i | −0.999949 | − | 0.0100535i | \(-0.996800\pi\) |
−0.163739 | + | 0.986504i | \(0.552355\pi\) | |||||||
\(152\) | −0.158313 | − | 0.897840i | −0.0128409 | − | 0.0728245i | ||||
\(153\) | 18.8518 | + | 6.86149i | 1.52408 | + | 0.554719i | ||||
\(154\) | −23.4877 | −1.89269 | ||||||||
\(155\) | 7.52026 | + | 2.73715i | 0.604042 | + | 0.219853i | ||||
\(156\) | −2.08688 | + | 3.61458i | −0.167084 | + | 0.289398i | ||||
\(157\) | −0.911415 | + | 5.16889i | −0.0727388 | + | 0.412522i | 0.926596 | + | 0.376058i | \(0.122721\pi\) |
−0.999335 | + | 0.0364643i | \(0.988390\pi\) | |||||||
\(158\) | 1.84764 | + | 3.20021i | 0.146990 | + | 0.254595i | ||||
\(159\) | 2.58209 | − | 4.47231i | 0.204773 | − | 0.354677i | ||||
\(160\) | 0.766044 | + | 0.642788i | 0.0605611 | + | 0.0508168i | ||||
\(161\) | 4.21123 | + | 23.8831i | 0.331891 | + | 1.88225i | ||||
\(162\) | 4.22458 | + | 7.31718i | 0.331914 | + | 0.574892i | ||||
\(163\) | −1.33617 | + | 0.486326i | −0.104657 | + | 0.0380920i | −0.393818 | − | 0.919189i | \(-0.628846\pi\) |
0.289161 | + | 0.957280i | \(0.406624\pi\) | |||||||
\(164\) | 6.91001 | − | 2.51504i | 0.539581 | − | 0.196392i | ||||
\(165\) | 2.28135 | − | 12.9382i | 0.177603 | − | 1.00723i | ||||
\(166\) | −13.4039 | + | 11.2472i | −1.04034 | + | 0.872950i | ||||
\(167\) | 6.35205 | − | 5.33001i | 0.491537 | − | 0.412448i | −0.363040 | − | 0.931774i | \(-0.618261\pi\) |
0.854577 | + | 0.519325i | \(0.173817\pi\) | |||||||
\(168\) | −1.91657 | + | 10.8694i | −0.147867 | + | 0.838595i | ||||
\(169\) | 9.56443 | − | 3.48117i | 0.735725 | − | 0.267782i | ||||
\(170\) | 5.94024 | − | 2.16207i | 0.455596 | − | 0.165823i | ||||
\(171\) | 1.44666 | + | 2.50569i | 0.110629 | + | 0.191615i | ||||
\(172\) | −0.380169 | − | 2.15605i | −0.0289876 | − | 0.164397i | ||||
\(173\) | −5.43658 | − | 4.56183i | −0.413336 | − | 0.346830i | 0.412286 | − | 0.911055i | \(-0.364731\pi\) |
−0.825621 | + | 0.564225i | \(0.809175\pi\) | |||||||
\(174\) | 8.43700 | − | 14.6133i | 0.639608 | − | 1.10783i | ||||
\(175\) | −2.22104 | − | 3.84696i | −0.167895 | − | 0.290803i | ||||
\(176\) | −0.918170 | + | 5.20720i | −0.0692096 | + | 0.392507i | ||||
\(177\) | 10.9196 | − | 18.9133i | 0.820767 | − | 1.42161i | ||||
\(178\) | −5.71200 | − | 2.07900i | −0.428132 | − | 0.155827i | ||||
\(179\) | −19.6593 | −1.46940 | −0.734701 | − | 0.678391i | \(-0.762678\pi\) | ||||
−0.734701 | + | 0.678391i | \(0.762678\pi\) | |||||||
\(180\) | −2.98218 | − | 1.08543i | −0.222279 | − | 0.0809029i | ||||
\(181\) | 0.000756204 | 0.00428864i | 5.62082e−5 | 0.000318772i | 0.984836 | − | 0.173489i | \(-0.0555040\pi\) | ||
−0.984780 | + | 0.173808i | \(0.944393\pi\) | |||||||
\(182\) | −5.71610 | + | 4.79638i | −0.423706 | + | 0.355531i | ||||
\(183\) | −9.97985 | − | 8.37409i | −0.737732 | − | 0.619031i | ||||
\(184\) | 5.45948 | 0.402478 | ||||||||
\(185\) | 4.14044 | + | 4.45609i | 0.304411 | + | 0.327618i | ||||
\(186\) | 19.8845 | 1.45801 | ||||||||
\(187\) | 25.6050 | + | 21.4852i | 1.87242 | + | 1.57115i | ||||
\(188\) | 2.63965 | − | 2.21493i | 0.192516 | − | 0.161540i | ||||
\(189\) | −0.332666 | − | 1.88664i | −0.0241979 | − | 0.137233i | ||||
\(190\) | 0.856709 | + | 0.311817i | 0.0621522 | + | 0.0226216i | ||||
\(191\) | −19.5410 | −1.41394 | −0.706968 | − | 0.707245i | \(-0.749938\pi\) | ||||
−0.706968 | + | 0.707245i | \(0.749938\pi\) | |||||||
\(192\) | 2.33482 | + | 0.849806i | 0.168501 | + | 0.0613295i | ||||
\(193\) | 7.02019 | − | 12.1593i | 0.505324 | − | 0.875248i | −0.494657 | − | 0.869089i | \(-0.664706\pi\) |
0.999981 | − | 0.00615905i | \(-0.00196050\pi\) | |||||||
\(194\) | −1.65303 | + | 9.37479i | −0.118681 | + | 0.673071i | ||||
\(195\) | −2.08688 | − | 3.61458i | −0.149444 | − | 0.258845i | ||||
\(196\) | −6.36608 | + | 11.0264i | −0.454720 | + | 0.787598i | ||||
\(197\) | −10.9756 | − | 9.20964i | −0.781981 | − | 0.656160i | 0.161766 | − | 0.986829i | \(-0.448281\pi\) |
−0.943747 | + | 0.330669i | \(0.892726\pi\) | |||||||
\(198\) | −2.91388 | − | 16.5254i | −0.207080 | − | 1.17441i | ||||
\(199\) | −0.0439108 | − | 0.0760557i | −0.00311275 | − | 0.00539145i | 0.864465 | − | 0.502693i | \(-0.167657\pi\) |
−0.867578 | + | 0.497302i | \(0.834324\pi\) | |||||||
\(200\) | −0.939693 | + | 0.342020i | −0.0664463 | + | 0.0241845i | ||||
\(201\) | −11.4773 | + | 4.17738i | −0.809544 | + | 0.294650i | ||||
\(202\) | 0.180567 | − | 1.02405i | 0.0127046 | − | 0.0720516i | ||||
\(203\) | 23.1095 | − | 19.3912i | 1.62197 | − | 1.36100i | ||||
\(204\) | 12.0321 | − | 10.0961i | 0.842414 | − | 0.706869i | ||||
\(205\) | −1.27692 | + | 7.24177i | −0.0891839 | + | 0.505787i | ||||
\(206\) | −3.63406 | + | 1.32269i | −0.253197 | + | 0.0921561i | ||||
\(207\) | −16.2812 | + | 5.92586i | −1.13162 | + | 0.411876i | ||||
\(208\) | 0.839903 | + | 1.45475i | 0.0582368 | + | 0.100869i | ||||
\(209\) | 0.837087 | + | 4.74736i | 0.0579025 | + | 0.328381i | ||||
\(210\) | −8.45492 | − | 7.09452i | −0.583445 | − | 0.489568i | ||||
\(211\) | 0.337735 | − | 0.584974i | 0.0232506 | − | 0.0402713i | −0.854166 | − | 0.520000i | \(-0.825932\pi\) |
0.877417 | + | 0.479729i | \(0.159265\pi\) | |||||||
\(212\) | −1.03921 | − | 1.79996i | −0.0713731 | − | 0.123622i | ||||
\(213\) | −3.48546 | + | 19.7670i | −0.238820 | + | 1.35441i | ||||
\(214\) | −4.29542 | + | 7.43989i | −0.293629 | + | 0.508580i | ||||
\(215\) | 2.05728 | + | 0.748787i | 0.140305 | + | 0.0510669i | ||||
\(216\) | −0.431272 | −0.0293443 | ||||||||
\(217\) | 33.4057 | + | 12.1587i | 2.26773 | + | 0.825385i | ||||
\(218\) | 0.335205 | + | 1.90104i | 0.0227029 | + | 0.128755i | ||||
\(219\) | −17.0426 | + | 14.3005i | −1.15164 | + | 0.966337i | ||||
\(220\) | −4.05048 | − | 3.39876i | −0.273083 | − | 0.229144i | ||||
\(221\) | 10.6188 | 0.714301 | ||||||||
\(222\) | 13.4540 | + | 6.88561i | 0.902974 | + | 0.462132i | ||||
\(223\) | −6.15012 | −0.411843 | −0.205921 | − | 0.978569i | \(-0.566019\pi\) | ||||
−0.205921 | + | 0.978569i | \(0.566019\pi\) | |||||||
\(224\) | 3.40284 | + | 2.85532i | 0.227362 | + | 0.190779i | ||||
\(225\) | 2.43110 | − | 2.03993i | 0.162073 | − | 0.135996i | ||||
\(226\) | −3.23400 | − | 18.3409i | −0.215123 | − | 1.22002i | ||||
\(227\) | −19.0471 | − | 6.93258i | −1.26420 | − | 0.460131i | −0.379024 | − | 0.925387i | \(-0.623740\pi\) |
−0.885176 | + | 0.465255i | \(0.845962\pi\) | |||||||
\(228\) | 2.26525 | 0.150020 | ||||||||
\(229\) | −15.8884 | − | 5.78292i | −1.04994 | − | 0.382146i | −0.241299 | − | 0.970451i | \(-0.577573\pi\) |
−0.808639 | + | 0.588305i | \(0.799796\pi\) | |||||||
\(230\) | −2.72974 | + | 4.72805i | −0.179994 | + | 0.311758i | ||||
\(231\) | 10.1339 | − | 57.4725i | 0.666765 | − | 3.78141i | ||||
\(232\) | −3.39563 | − | 5.88140i | −0.222934 | − | 0.386133i | ||||
\(233\) | −11.7796 | + | 20.4028i | −0.771706 | + | 1.33663i | 0.164921 | + | 0.986307i | \(0.447263\pi\) |
−0.936627 | + | 0.350328i | \(0.886070\pi\) | |||||||
\(234\) | −4.08377 | − | 3.42669i | −0.266964 | − | 0.224010i | ||||
\(235\) | 0.598359 | + | 3.39347i | 0.0390327 | + | 0.221365i | ||||
\(236\) | −4.39479 | − | 7.61201i | −0.286077 | − | 0.495499i | ||||
\(237\) | −8.62783 | + | 3.14027i | −0.560438 | + | 0.203983i | ||||
\(238\) | 26.3871 | − | 9.60411i | 1.71042 | − | 0.622542i | ||||
\(239\) | −1.14869 | + | 6.51453i | −0.0743024 | + | 0.421390i | 0.924854 | + | 0.380323i | \(0.124187\pi\) |
−0.999156 | + | 0.0410676i | \(0.986924\pi\) | |||||||
\(240\) | −1.90337 | + | 1.59711i | −0.122862 | + | 0.103093i | ||||
\(241\) | 18.9715 | − | 15.9189i | 1.22206 | − | 1.02543i | 0.223344 | − | 0.974740i | \(-0.428303\pi\) |
0.998714 | − | 0.0506895i | \(-0.0161419\pi\) | |||||||
\(242\) | 2.94472 | − | 16.7003i | 0.189294 | − | 1.07354i | ||||
\(243\) | −20.9431 | + | 7.62265i | −1.34350 | + | 0.488994i | ||||
\(244\) | −4.92706 | + | 1.79330i | −0.315423 | + | 0.114804i | ||||
\(245\) | −6.36608 | − | 11.0264i | −0.406714 | − | 0.704449i | ||||
\(246\) | 3.17272 | + | 17.9934i | 0.202285 | + | 1.14722i | ||||
\(247\) | 1.17317 | + | 0.984406i | 0.0746469 | + | 0.0626362i | ||||
\(248\) | 4.00145 | − | 6.93071i | 0.254092 | − | 0.440101i | ||||
\(249\) | −21.7377 | − | 37.6509i | −1.37757 | − | 2.38603i | ||||
\(250\) | 0.173648 | − | 0.984808i | 0.0109825 | − | 0.0622847i | ||||
\(251\) | 7.29586 | − | 12.6368i | 0.460511 | − | 0.797628i | −0.538476 | − | 0.842641i | \(-0.681000\pi\) |
0.998986 | + | 0.0450130i | \(0.0143329\pi\) | |||||||
\(252\) | −13.2471 | − | 4.82156i | −0.834490 | − | 0.303730i | ||||
\(253\) | −28.8672 | −1.81486 | ||||||||
\(254\) | 19.5599 | + | 7.11922i | 1.22730 | + | 0.446700i | ||||
\(255\) | 2.72745 | + | 15.4681i | 0.170800 | + | 0.968653i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 7.25656 | + | 6.08898i | 0.452652 | + | 0.379820i | 0.840419 | − | 0.541938i | \(-0.182309\pi\) |
−0.387767 | + | 0.921757i | \(0.626754\pi\) | |||||||
\(258\) | 5.43970 | 0.338661 | ||||||||
\(259\) | 18.3922 | + | 19.7944i | 1.14284 | + | 1.22996i | ||||
\(260\) | −1.67981 | −0.104177 | ||||||||
\(261\) | 16.5102 | + | 13.8537i | 1.02196 | + | 0.857523i | ||||
\(262\) | 4.79652 | − | 4.02476i | 0.296330 | − | 0.248650i | ||||
\(263\) | −0.660117 | − | 3.74371i | −0.0407046 | − | 0.230847i | 0.957668 | − | 0.287875i | \(-0.0929487\pi\) |
−0.998373 | + | 0.0570278i | \(0.981838\pi\) | |||||||
\(264\) | −12.3454 | − | 4.49338i | −0.759810 | − | 0.276548i | ||||
\(265\) | 2.07842 | 0.127676 | ||||||||
\(266\) | 3.80558 | + | 1.38512i | 0.233335 | + | 0.0849270i | ||||
\(267\) | 7.55162 | − | 13.0798i | 0.462152 | − | 0.800471i | ||||
\(268\) | −0.853600 | + | 4.84101i | −0.0521419 | + | 0.295712i | ||||
\(269\) | −1.58371 | − | 2.74307i | −0.0965608 | − | 0.167248i | 0.813698 | − | 0.581288i | \(-0.197451\pi\) |
−0.910259 | + | 0.414039i | \(0.864118\pi\) | |||||||
\(270\) | 0.215636 | − | 0.373493i | 0.0131232 | − | 0.0227300i | ||||
\(271\) | 1.60440 | + | 1.34625i | 0.0974603 | + | 0.0817789i | 0.690216 | − | 0.723603i | \(-0.257516\pi\) |
−0.592756 | + | 0.805382i | \(0.701960\pi\) | |||||||
\(272\) | −1.09771 | − | 6.22544i | −0.0665586 | − | 0.377473i | ||||
\(273\) | −9.27010 | − | 16.0563i | −0.561052 | − | 0.971771i | ||||
\(274\) | 21.3001 | − | 7.75260i | 1.28679 | − | 0.468351i | ||||
\(275\) | 4.96865 | − | 1.80844i | 0.299621 | − | 0.109053i | ||||
\(276\) | −2.35554 | + | 13.3589i | −0.141787 | + | 0.804112i | ||||
\(277\) | −8.37851 | + | 7.03040i | −0.503416 | + | 0.422416i | −0.858805 | − | 0.512302i | \(-0.828793\pi\) |
0.355389 | + | 0.934718i | \(0.384348\pi\) | |||||||
\(278\) | 1.64380 | − | 1.37931i | 0.0985888 | − | 0.0827258i | ||||
\(279\) | −4.41028 | + | 25.0119i | −0.264037 | + | 1.49743i | ||||
\(280\) | −4.17420 | + | 1.51928i | −0.249456 | + | 0.0907946i | ||||
\(281\) | 26.9909 | − | 9.82388i | 1.61014 | − | 0.586044i | 0.628674 | − | 0.777669i | \(-0.283598\pi\) |
0.981468 | + | 0.191626i | \(0.0613759\pi\) | |||||||
\(282\) | 4.28085 | + | 7.41465i | 0.254921 | + | 0.441536i | ||||
\(283\) | 2.20884 | + | 12.5270i | 0.131302 | + | 0.744652i | 0.977364 | + | 0.211566i | \(0.0678564\pi\) |
−0.846061 | + | 0.533085i | \(0.821032\pi\) | |||||||
\(284\) | 6.18835 | + | 5.19265i | 0.367211 | + | 0.308127i | ||||
\(285\) | −1.13262 | + | 1.96176i | −0.0670909 | + | 0.116205i | ||||
\(286\) | −4.44101 | − | 7.69205i | −0.262602 | − | 0.454841i | ||||
\(287\) | −5.67219 | + | 32.1686i | −0.334819 | + | 1.89885i | ||||
\(288\) | −1.58679 | + | 2.74840i | −0.0935023 | + | 0.161951i | ||||
\(289\) | −21.5763 | − | 7.85314i | −1.26919 | − | 0.461949i | ||||
\(290\) | 6.79125 | 0.398796 | ||||||||
\(291\) | −22.2262 | − | 8.08966i | −1.30292 | − | 0.474224i | ||||
\(292\) | 1.55484 | + | 8.81792i | 0.0909900 | + | 0.516030i | ||||
\(293\) | 17.9941 | − | 15.0988i | 1.05123 | − | 0.882084i | 0.0580042 | − | 0.998316i | \(-0.481526\pi\) |
0.993222 | + | 0.116233i | \(0.0370819\pi\) | |||||||
\(294\) | −24.2339 | − | 20.3347i | −1.41335 | − | 1.18594i | ||||
\(295\) | 8.78959 | 0.511750 | ||||||||
\(296\) | 5.10737 | − | 3.30375i | 0.296860 | − | 0.192026i | ||||
\(297\) | 2.28036 | 0.132320 | ||||||||
\(298\) | −8.56687 | − | 7.18846i | −0.496265 | − | 0.416416i | ||||
\(299\) | −7.02529 | + | 5.89492i | −0.406283 | + | 0.340912i | ||||
\(300\) | −0.431458 | − | 2.44692i | −0.0249102 | − | 0.141273i | ||||
\(301\) | 9.13860 | + | 3.32618i | 0.526740 | + | 0.191718i | ||||
\(302\) | −18.6669 | −1.07416 | ||||||||
\(303\) | 2.42785 | + | 0.883665i | 0.139476 | + | 0.0507652i | ||||
\(304\) | 0.455845 | − | 0.789547i | 0.0261445 | − | 0.0452837i | ||||
\(305\) | 0.910483 | − | 5.16361i | 0.0521341 | − | 0.295667i | ||||
\(306\) | 10.0308 | + | 17.3739i | 0.573424 | + | 0.993200i | ||||
\(307\) | −0.0852831 | + | 0.147715i | −0.00486736 | + | 0.00843052i | −0.868449 | − | 0.495779i | \(-0.834883\pi\) |
0.863581 | + | 0.504209i | \(0.168216\pi\) | |||||||
\(308\) | −17.9926 | − | 15.0976i | −1.02522 | − | 0.860265i | ||||
\(309\) | −1.66857 | − | 9.46293i | −0.0949216 | − | 0.538327i | ||||
\(310\) | 4.00145 | + | 6.93071i | 0.227267 | + | 0.393638i | ||||
\(311\) | −8.00050 | + | 2.91194i | −0.453667 | + | 0.165121i | −0.558739 | − | 0.829343i | \(-0.688715\pi\) |
0.105073 | + | 0.994465i | \(0.466493\pi\) | |||||||
\(312\) | −3.92205 | + | 1.42751i | −0.222042 | + | 0.0808168i | ||||
\(313\) | 0.277960 | − | 1.57639i | 0.0157112 | − | 0.0891028i | −0.975944 | − | 0.218022i | \(-0.930040\pi\) |
0.991655 | + | 0.128919i | \(0.0411507\pi\) | |||||||
\(314\) | −4.02068 | + | 3.37375i | −0.226900 | + | 0.190392i | ||||
\(315\) | 10.7992 | − | 9.06157i | 0.608463 | − | 0.510561i | ||||
\(316\) | −0.641679 | + | 3.63914i | −0.0360973 | + | 0.204718i | ||||
\(317\) | −2.35418 | + | 0.856852i | −0.132224 | + | 0.0481256i | −0.407285 | − | 0.913301i | \(-0.633524\pi\) |
0.275061 | + | 0.961427i | \(0.411302\pi\) | |||||||
\(318\) | 4.85274 | − | 1.76625i | 0.272128 | − | 0.0990465i | ||||
\(319\) | 17.9545 | + | 31.0981i | 1.00526 | + | 1.74116i | ||||
\(320\) | 0.173648 | + | 0.984808i | 0.00970723 | + | 0.0550524i | ||||
\(321\) | −16.3515 | − | 13.7206i | −0.912653 | − | 0.765807i | ||||
\(322\) | −12.1257 | + | 21.0024i | −0.675741 | + | 1.17042i | ||||
\(323\) | −2.88162 | − | 4.99110i | −0.160337 | − | 0.277712i | ||||
\(324\) | −1.46718 | + | 8.32079i | −0.0815100 | + | 0.462266i | ||||
\(325\) | 0.839903 | − | 1.45475i | 0.0465894 | − | 0.0806952i | ||||
\(326\) | −1.33617 | − | 0.486326i | −0.0740035 | − | 0.0269351i | ||||
\(327\) | −4.79632 | −0.265237 | ||||||||
\(328\) | 6.91001 | + | 2.51504i | 0.381542 | + | 0.138870i | ||||
\(329\) | 2.65797 | + | 15.0741i | 0.146538 | + | 0.831061i | ||||
\(330\) | 10.0641 | − | 8.44478i | 0.554011 | − | 0.464870i | ||||
\(331\) | 21.1890 | + | 17.7796i | 1.16465 | + | 0.977257i | 0.999959 | − | 0.00908766i | \(-0.00289273\pi\) |
0.164691 | + | 0.986345i | \(0.447337\pi\) | |||||||
\(332\) | −17.4975 | −0.960300 | ||||||||
\(333\) | −11.6452 | + | 15.3961i | −0.638150 | + | 0.843699i | ||||
\(334\) | 8.29202 | 0.453719 | ||||||||
\(335\) | −3.76563 | − | 3.15974i | −0.205739 | − | 0.172635i | ||||
\(336\) | −8.45492 | + | 7.09452i | −0.461254 | + | 0.387038i | ||||
\(337\) | −5.01704 | − | 28.4530i | −0.273295 | − | 1.54994i | −0.744325 | − | 0.667818i | \(-0.767229\pi\) |
0.471030 | − | 0.882117i | \(-0.343883\pi\) | |||||||
\(338\) | 9.56443 | + | 3.48117i | 0.520236 | + | 0.189351i | ||||
\(339\) | 46.2742 | 2.51327 | ||||||||
\(340\) | 5.94024 | + | 2.16207i | 0.322155 | + | 0.117255i | ||||
\(341\) | −21.1578 | + | 36.6463i | −1.14576 | + | 1.98451i | ||||
\(342\) | −0.502419 | + | 2.84936i | −0.0271677 | + | 0.154076i | ||||
\(343\) | −12.7314 | − | 22.0514i | −0.687429 | − | 1.19066i | ||||
\(344\) | 1.09465 | − | 1.89600i | 0.0590198 | − | 0.102225i | ||||
\(345\) | −10.3914 | − | 8.71941i | −0.559453 | − | 0.469437i | ||||
\(346\) | −1.23237 | − | 6.98913i | −0.0662528 | − | 0.375738i | ||||
\(347\) | −1.52466 | − | 2.64080i | −0.0818483 | − | 0.141765i | 0.822196 | − | 0.569205i | \(-0.192749\pi\) |
−0.904044 | + | 0.427440i | \(0.859416\pi\) | |||||||
\(348\) | 15.8564 | − | 5.77125i | 0.849991 | − | 0.309372i | ||||
\(349\) | 7.67442 | − | 2.79326i | 0.410802 | − | 0.149520i | −0.128348 | − | 0.991729i | \(-0.540968\pi\) |
0.539151 | + | 0.842209i | \(0.318745\pi\) | |||||||
\(350\) | 0.771361 | − | 4.37460i | 0.0412310 | − | 0.233832i | ||||
\(351\) | 0.554963 | − | 0.465669i | 0.0296217 | − | 0.0248556i | ||||
\(352\) | −4.05048 | + | 3.39876i | −0.215891 | + | 0.181154i | ||||
\(353\) | −4.18874 | + | 23.7555i | −0.222944 | + | 1.26438i | 0.643632 | + | 0.765335i | \(0.277427\pi\) |
−0.866576 | + | 0.499045i | \(0.833684\pi\) | |||||||
\(354\) | 20.5221 | − | 7.46945i | 1.09074 | − | 0.396997i | ||||
\(355\) | −7.59114 | + | 2.76295i | −0.402896 | + | 0.146642i | ||||
\(356\) | −3.03929 | − | 5.26420i | −0.161082 | − | 0.279002i | ||||
\(357\) | 12.1156 | + | 68.7109i | 0.641224 | + | 3.63656i | ||||
\(358\) | −15.0599 | − | 12.6367i | −0.795939 | − | 0.667872i | ||||
\(359\) | −1.29726 | + | 2.24692i | −0.0684666 | + | 0.118588i | −0.898226 | − | 0.439533i | \(-0.855144\pi\) |
0.829760 | + | 0.558121i | \(0.188477\pi\) | |||||||
\(360\) | −1.58679 | − | 2.74840i | −0.0836310 | − | 0.144853i | ||||
\(361\) | −3.15498 | + | 17.8928i | −0.166052 | + | 0.941726i | ||||
\(362\) | −0.00217740 | + | 0.00377137i | −0.000114442 | + | 0.000198219i | ||||
\(363\) | 39.5938 | + | 14.4110i | 2.07814 | + | 0.756380i | ||||
\(364\) | −7.46184 | −0.391107 | ||||||||
\(365\) | −8.41396 | − | 3.06243i | −0.440407 | − | 0.160295i | ||||
\(366\) | −2.26225 | − | 12.8299i | −0.118250 | − | 0.670627i | ||||
\(367\) | −11.0205 | + | 9.24729i | −0.575265 | + | 0.482705i | −0.883388 | − | 0.468642i | \(-0.844744\pi\) |
0.308123 | + | 0.951346i | \(0.400299\pi\) | |||||||
\(368\) | 4.18220 | + | 3.50929i | 0.218012 | + | 0.182934i | ||||
\(369\) | −23.3368 | −1.21487 | ||||||||
\(370\) | 0.307442 | + | 6.07499i | 0.0159832 | + | 0.315824i | ||||
\(371\) | 9.23251 | 0.479328 | ||||||||
\(372\) | 15.2324 | + | 12.7815i | 0.789765 | + | 0.662692i | ||||
\(373\) | 20.9166 | − | 17.5511i | 1.08302 | − | 0.908763i | 0.0868532 | − | 0.996221i | \(-0.472319\pi\) |
0.996168 | + | 0.0874583i | \(0.0278745\pi\) | |||||||
\(374\) | 5.80419 | + | 32.9172i | 0.300127 | + | 1.70211i | ||||
\(375\) | 2.33482 | + | 0.849806i | 0.120570 | + | 0.0438838i | ||||
\(376\) | 3.44581 | 0.177704 | ||||||||
\(377\) | 10.7200 | + | 3.90176i | 0.552108 | + | 0.200951i | ||||
\(378\) | 0.957874 | − | 1.65909i | 0.0492677 | − | 0.0853342i | ||||
\(379\) | 1.74818 | − | 9.91441i | 0.0897979 | − | 0.509269i | −0.906420 | − | 0.422378i | \(-0.861196\pi\) |
0.996218 | − | 0.0868914i | \(-0.0276933\pi\) | |||||||
\(380\) | 0.455845 | + | 0.789547i | 0.0233844 | + | 0.0405029i | ||||
\(381\) | −25.8594 | + | 44.7898i | −1.32482 | + | 2.29465i | ||||
\(382\) | −14.9693 | − | 12.5607i | −0.765894 | − | 0.642662i | ||||
\(383\) | −3.14720 | − | 17.8487i | −0.160815 | − | 0.912025i | −0.953276 | − | 0.302102i | \(-0.902312\pi\) |
0.792461 | − | 0.609923i | \(-0.208799\pi\) | |||||||
\(384\) | 1.24233 | + | 2.15179i | 0.0633976 | + | 0.109808i | ||||
\(385\) | 22.0712 | − | 8.03326i | 1.12485 | − | 0.409413i | ||||
\(386\) | 13.1936 | − | 4.80209i | 0.671539 | − | 0.244420i | ||||
\(387\) | −1.20649 | + | 6.84237i | −0.0613296 | + | 0.347817i | ||||
\(388\) | −7.29229 | + | 6.11896i | −0.370210 | + | 0.310643i | ||||
\(389\) | −24.1229 | + | 20.2415i | −1.22308 | + | 1.02629i | −0.224424 | + | 0.974492i | \(0.572050\pi\) |
−0.998658 | + | 0.0517957i | \(0.983506\pi\) | |||||||
\(390\) | 0.724765 | − | 4.11035i | 0.0366999 | − | 0.208136i | ||||
\(391\) | 32.4306 | − | 11.8038i | 1.64009 | − | 0.596943i | ||||
\(392\) | −11.9643 | + | 4.35465i | −0.604289 | + | 0.219943i | ||||
\(393\) | 7.77876 | + | 13.4732i | 0.392387 | + | 0.679634i | ||||
\(394\) | −2.48797 | − | 14.1100i | −0.125342 | − | 0.710851i | ||||
\(395\) | −2.83075 | − | 2.37528i | −0.142431 | − | 0.119513i | ||||
\(396\) | 8.39018 | − | 14.5322i | 0.421622 | − | 0.730271i | ||||
\(397\) | 2.82567 | + | 4.89421i | 0.141817 | + | 0.245633i | 0.928181 | − | 0.372130i | \(-0.121372\pi\) |
−0.786364 | + | 0.617763i | \(0.788039\pi\) | |||||||
\(398\) | 0.0152501 | − | 0.0864874i | 0.000764416 | − | 0.00433522i | ||||
\(399\) | −5.03122 | + | 8.71433i | −0.251876 | + | 0.436262i | ||||
\(400\) | −0.939693 | − | 0.342020i | −0.0469846 | − | 0.0171010i | ||||
\(401\) | −19.7423 | −0.985882 | −0.492941 | − | 0.870063i | \(-0.664078\pi\) | ||||
−0.492941 | + | 0.870063i | \(0.664078\pi\) | |||||||
\(402\) | −11.4773 | − | 4.17738i | −0.572434 | − | 0.208349i | ||||
\(403\) | 2.33441 | + | 13.2391i | 0.116285 | + | 0.659485i | ||||
\(404\) | 0.796566 | − | 0.668398i | 0.0396306 | − | 0.0332541i | ||||
\(405\) | −6.47243 | − | 5.43101i | −0.321617 | − | 0.269869i | ||||
\(406\) | 30.1674 | 1.49718 | ||||||||
\(407\) | −27.0054 | + | 17.4687i | −1.33861 | + | 0.865889i | ||||
\(408\) | 15.7068 | 0.777601 | ||||||||
\(409\) | −22.4923 | − | 18.8733i | −1.11217 | − | 0.933225i | −0.113991 | − | 0.993482i | \(-0.536363\pi\) |
−0.998183 | + | 0.0602573i | \(0.980808\pi\) | |||||||
\(410\) | −5.63309 | + | 4.72673i | −0.278199 | + | 0.233436i | ||||
\(411\) | 9.77989 | + | 55.4645i | 0.482406 | + | 2.73586i | ||||
\(412\) | −3.63406 | − | 1.32269i | −0.179037 | − | 0.0651642i | ||||
\(413\) | 39.0441 | 1.92124 | ||||||||
\(414\) | −16.2812 | − | 5.92586i | −0.800176 | − | 0.291240i | ||||
\(415\) | 8.74875 | − | 15.1533i | 0.429459 | − | 0.743845i | ||||
\(416\) | −0.291695 | + | 1.65429i | −0.0143015 | + | 0.0811080i | ||||
\(417\) | 2.66584 | + | 4.61737i | 0.130547 | + | 0.226114i | ||||
\(418\) | −2.41030 | + | 4.17475i | −0.117891 | + | 0.204194i | ||||
\(419\) | 18.7821 | + | 15.7601i | 0.917567 | + | 0.769930i | 0.973543 | − | 0.228502i | \(-0.0733827\pi\) |
−0.0559763 | + | 0.998432i | \(0.517827\pi\) | |||||||
\(420\) | −1.91657 | − | 10.8694i | −0.0935193 | − | 0.530374i | ||||
\(421\) | 4.43385 | + | 7.67966i | 0.216093 | + | 0.374284i | 0.953610 | − | 0.301045i | \(-0.0973353\pi\) |
−0.737517 | + | 0.675328i | \(0.764002\pi\) | |||||||
\(422\) | 0.634734 | − | 0.231024i | 0.0308984 | − | 0.0112461i | ||||
\(423\) | −10.2761 | + | 3.74018i | −0.499639 | + | 0.181854i | ||||
\(424\) | 0.360913 | − | 2.04684i | 0.0175275 | − | 0.0994034i | ||||
\(425\) | −4.84253 | + | 4.06337i | −0.234897 | + | 0.197102i | ||||
\(426\) | −15.3760 | + | 12.9020i | −0.744970 | + | 0.625104i | ||||
\(427\) | 4.04445 | − | 22.9372i | 0.195725 | − | 1.11001i | ||||
\(428\) | −8.07275 | + | 2.93824i | −0.390211 | + | 0.142025i | ||||
\(429\) | 20.7379 | − | 7.54800i | 1.00124 | − | 0.364421i | ||||
\(430\) | 1.09465 | + | 1.89600i | 0.0527889 | + | 0.0914330i | ||||
\(431\) | −3.24712 | − | 18.4153i | −0.156408 | − | 0.887035i | −0.957487 | − | 0.288476i | \(-0.906851\pi\) |
0.801079 | − | 0.598559i | \(-0.204260\pi\) | |||||||
\(432\) | −0.330374 | − | 0.277216i | −0.0158951 | − | 0.0133376i | ||||
\(433\) | 6.99389 | − | 12.1138i | 0.336105 | − | 0.582151i | −0.647592 | − | 0.761988i | \(-0.724224\pi\) |
0.983696 | + | 0.179837i | \(0.0575570\pi\) | |||||||
\(434\) | 17.7748 | + | 30.7868i | 0.853217 | + | 1.47782i | ||||
\(435\) | −2.93014 | + | 16.6177i | −0.140490 | + | 0.796756i | ||||
\(436\) | −0.965184 | + | 1.67175i | −0.0462239 | + | 0.0800622i | ||||
\(437\) | 4.67719 | + | 1.70236i | 0.223740 | + | 0.0814348i | ||||
\(438\) | −22.2476 | −1.06303 | ||||||||
\(439\) | −11.7140 | − | 4.26355i | −0.559079 | − | 0.203488i | 0.0469967 | − | 0.998895i | \(-0.485035\pi\) |
−0.606076 | + | 0.795407i | \(0.707257\pi\) | |||||||
\(440\) | −0.918170 | − | 5.20720i | −0.0437720 | − | 0.248243i | ||||
\(441\) | 30.9531 | − | 25.9727i | 1.47396 | − | 1.23680i | ||||
\(442\) | 8.13451 | + | 6.82566i | 0.386919 | + | 0.324664i | ||||
\(443\) | −27.6118 | −1.31188 | −0.655938 | − | 0.754815i | \(-0.727727\pi\) | ||||
−0.655938 | + | 0.754815i | \(0.727727\pi\) | |||||||
\(444\) | 5.88039 | + | 13.9228i | 0.279071 | + | 0.660745i | ||||
\(445\) | 6.07858 | 0.288152 | ||||||||
\(446\) | −4.71127 | − | 3.95322i | −0.223085 | − | 0.187191i | ||||
\(447\) | 21.2858 | − | 17.8609i | 1.00678 | − | 0.844793i | ||||
\(448\) | 0.771361 | + | 4.37460i | 0.0364434 | + | 0.206681i | ||||
\(449\) | 15.7686 | + | 5.73931i | 0.744167 | + | 0.270855i | 0.686149 | − | 0.727461i | \(-0.259300\pi\) |
0.0580178 | + | 0.998316i | \(0.481522\pi\) | |||||||
\(450\) | 3.17357 | 0.149604 | ||||||||
\(451\) | −36.5369 | − | 13.2983i | −1.72046 | − | 0.626194i | ||||
\(452\) | 9.31194 | − | 16.1288i | 0.437997 | − | 0.758633i | ||||
\(453\) | 8.05396 | − | 45.6763i | 0.378408 | − | 2.14606i | ||||
\(454\) | −10.1348 | − | 17.5539i | −0.475647 | − | 0.823846i | ||||
\(455\) | 3.73092 | − | 6.46215i | 0.174908 | − | 0.302950i | ||||
\(456\) | 1.73528 | + | 1.45607i | 0.0812620 | + | 0.0681869i | ||||
\(457\) | 0.949626 | + | 5.38560i | 0.0444216 | + | 0.251928i | 0.998930 | − | 0.0462580i | \(-0.0147296\pi\) |
−0.954508 | + | 0.298186i | \(0.903619\pi\) | |||||||
\(458\) | −8.45407 | − | 14.6429i | −0.395033 | − | 0.684216i | ||||
\(459\) | −2.56186 | + | 0.932441i | −0.119577 | + | 0.0435226i | ||||
\(460\) | −5.13023 | + | 1.86725i | −0.239198 | + | 0.0870611i | ||||
\(461\) | −1.37928 | + | 7.82228i | −0.0642394 | + | 0.364320i | 0.935694 | + | 0.352812i | \(0.114774\pi\) |
−0.999934 | + | 0.0115081i | \(0.996337\pi\) | |||||||
\(462\) | 44.7056 | − | 37.5125i | 2.07989 | − | 1.74524i | ||||
\(463\) | 27.5357 | − | 23.1052i | 1.27969 | − | 1.07379i | 0.286404 | − | 0.958109i | \(-0.407540\pi\) |
0.993287 | − | 0.115679i | \(-0.0369043\pi\) | |||||||
\(464\) | 1.17929 | − | 6.68808i | 0.0547471 | − | 0.310486i | ||||
\(465\) | −18.6854 | + | 6.80091i | −0.866513 | + | 0.315385i | ||||
\(466\) | −22.1384 | + | 8.05771i | −1.02554 | + | 0.373266i | ||||
\(467\) | −4.93233 | − | 8.54304i | −0.228241 | − | 0.395325i | 0.729046 | − | 0.684465i | \(-0.239964\pi\) |
−0.957287 | + | 0.289140i | \(0.906631\pi\) | |||||||
\(468\) | −0.925716 | − | 5.25000i | −0.0427912 | − | 0.242681i | ||||
\(469\) | −16.7273 | − | 14.0359i | −0.772394 | − | 0.648116i | ||||
\(470\) | −1.72291 | + | 2.98416i | −0.0794718 | + | 0.137649i | ||||
\(471\) | −6.52055 | − | 11.2939i | −0.300451 | − | 0.520396i | ||||
\(472\) | 1.52630 | − | 8.65605i | 0.0702535 | − | 0.398427i | ||||
\(473\) | −5.78801 | + | 10.0251i | −0.266133 | + | 0.460956i | ||||
\(474\) | −8.62783 | − | 3.14027i | −0.396290 | − | 0.144238i | ||||
\(475\) | −0.911691 | −0.0418312 | ||||||||
\(476\) | 26.3871 | + | 9.60411i | 1.20945 | + | 0.440204i | ||||
\(477\) | 1.14539 | + | 6.49580i | 0.0524436 | + | 0.297422i | ||||
\(478\) | −5.06741 | + | 4.25206i | −0.231778 | + | 0.194485i | ||||
\(479\) | −7.87806 | − | 6.61047i | −0.359958 | − | 0.302040i | 0.444816 | − | 0.895622i | \(-0.353269\pi\) |
−0.804774 | + | 0.593582i | \(0.797713\pi\) | |||||||
\(480\) | −2.48467 | −0.113409 | ||||||||
\(481\) | −3.00495 | + | 9.76601i | −0.137014 | + | 0.445292i | ||||
\(482\) | 24.7655 | 1.12804 | ||||||||
\(483\) | −46.1595 | − | 38.7324i | −2.10033 | − | 1.76238i | ||||
\(484\) | 12.9906 | − | 10.9004i | 0.590480 | − | 0.495471i | ||||
\(485\) | −1.65303 | − | 9.37479i | −0.0750602 | − | 0.425687i | ||||
\(486\) | −20.9431 | − | 7.62265i | −0.949997 | − | 0.345771i | ||||
\(487\) | 19.3628 | 0.877413 | 0.438706 | − | 0.898630i | \(-0.355437\pi\) | ||||
0.438706 | + | 0.898630i | \(0.355437\pi\) | |||||||
\(488\) | −4.92706 | − | 1.79330i | −0.223037 | − | 0.0811790i | ||||
\(489\) | 1.76650 | − | 3.05967i | 0.0798839 | − | 0.138363i | ||||
\(490\) | 2.21091 | − | 12.5387i | 0.0998790 | − | 0.566442i | ||||
\(491\) | 10.8646 | + | 18.8180i | 0.490312 | + | 0.849245i | 0.999938 | − | 0.0111507i | \(-0.00354946\pi\) |
−0.509626 | + | 0.860396i | \(0.670216\pi\) | |||||||
\(492\) | −9.13548 | + | 15.8231i | −0.411859 | + | 0.713361i | ||||
\(493\) | −32.8869 | − | 27.5953i | −1.48115 | − | 1.24283i | ||||
\(494\) | 0.265936 | + | 1.50820i | 0.0119650 | + | 0.0678570i | ||||
\(495\) | 8.39018 | + | 14.5322i | 0.377111 | + | 0.653175i | ||||
\(496\) | 7.52026 | − | 2.73715i | 0.337670 | − | 0.122902i | ||||
\(497\) | −33.7205 | + | 12.2733i | −1.51257 | + | 0.550531i | ||||
\(498\) | 7.54944 | − | 42.8150i | 0.338298 | − | 1.91859i | ||||
\(499\) | −11.0299 | + | 9.25523i | −0.493768 | + | 0.414321i | −0.855374 | − | 0.518010i | \(-0.826673\pi\) |
0.361606 | + | 0.932331i | \(0.382229\pi\) | |||||||
\(500\) | 0.766044 | − | 0.642788i | 0.0342585 | − | 0.0287463i | ||||
\(501\) | −3.57766 | + | 20.2899i | −0.159838 | + | 0.906486i | ||||
\(502\) | 13.7117 | − | 4.99066i | 0.611985 | − | 0.222744i | ||||
\(503\) | 8.68959 | − | 3.16275i | 0.387449 | − | 0.141020i | −0.140948 | − | 0.990017i | \(-0.545015\pi\) |
0.528398 | + | 0.848997i | \(0.322793\pi\) | |||||||
\(504\) | −7.04865 | − | 12.2086i | −0.313972 | − | 0.543815i | ||||
\(505\) | 0.180567 | + | 1.02405i | 0.00803512 | + | 0.0455694i | ||||
\(506\) | −22.1135 | − | 18.5554i | −0.983066 | − | 0.824890i | ||||
\(507\) | −12.6448 | + | 21.9014i | −0.561575 | + | 0.972676i | ||||
\(508\) | 10.4076 | + | 18.0265i | 0.461763 | + | 0.799796i | ||||
\(509\) | 2.50276 | − | 14.1939i | 0.110933 | − | 0.629133i | −0.877751 | − | 0.479118i | \(-0.840957\pi\) |
0.988684 | − | 0.150015i | \(-0.0479322\pi\) | |||||||
\(510\) | −7.85338 | + | 13.6025i | −0.347754 | + | 0.602327i | ||||
\(511\) | −37.3756 | − | 13.6036i | −1.65340 | − | 0.601787i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −0.369475 | − | 0.134478i | −0.0163127 | − | 0.00593734i | ||||
\(514\) | 1.64493 | + | 9.32885i | 0.0725547 | + | 0.411478i | ||||
\(515\) | 2.96251 | − | 2.48584i | 0.130544 | − | 0.109539i | ||||
\(516\) | 4.16705 | + | 3.49657i | 0.183444 | + | 0.153928i | ||||
\(517\) | −18.2198 | −0.801308 | ||||||||
\(518\) | 1.36569 | + | 26.9856i | 0.0600048 | + | 1.18568i | ||||
\(519\) | 17.6336 | 0.774028 | ||||||||
\(520\) | −1.28681 | − | 1.07976i | −0.0564302 | − | 0.0473505i | ||||
\(521\) | −10.0526 | + | 8.43514i | −0.440413 | + | 0.369550i | −0.835864 | − | 0.548937i | \(-0.815033\pi\) |
0.395451 | + | 0.918487i | \(0.370588\pi\) | |||||||
\(522\) | 3.74256 | + | 21.2251i | 0.163807 | + | 0.928998i | ||||
\(523\) | −13.8076 | − | 5.02555i | −0.603764 | − | 0.219752i | 0.0220086 | − | 0.999758i | \(-0.492994\pi\) |
−0.625772 | + | 0.780006i | \(0.715216\pi\) | |||||||
\(524\) | 6.26141 | 0.273531 | ||||||||
\(525\) | 10.3715 | + | 3.77492i | 0.452649 | + | 0.164751i | ||||
\(526\) | 1.90073 | − | 3.29216i | 0.0828759 | − | 0.143545i | ||||
\(527\) | 8.78488 | − | 49.8215i | 0.382675 | − | 2.17026i | ||||
\(528\) | −6.56888 | − | 11.3776i | −0.285874 | − | 0.495148i | ||||
\(529\) | −3.40296 | + | 5.89410i | −0.147955 | + | 0.256265i | ||||
\(530\) | 1.59216 | + | 1.33598i | 0.0691590 | + | 0.0580313i | ||||
\(531\) | 4.84381 | + | 27.4706i | 0.210204 | + | 1.19212i | ||||
\(532\) | 2.02491 | + | 3.50724i | 0.0877908 | + | 0.152058i | ||||
\(533\) | −11.6075 | + | 4.22478i | −0.502776 | + | 0.182995i | ||||
\(534\) | 14.1924 | − | 5.16562i | 0.614166 | − | 0.223538i | ||||
\(535\) | 1.49178 | − | 8.46033i | 0.0644955 | − | 0.365772i | ||||
\(536\) | −3.76563 | + | 3.15974i | −0.162651 | + | 0.136480i | ||||
\(537\) | 37.4188 | − | 31.3981i | 1.61474 | − | 1.35493i | ||||
\(538\) | 0.550018 | − | 3.11931i | 0.0237130 | − | 0.134483i | ||||
\(539\) | 63.2616 | − | 23.0253i | 2.72487 | − | 0.991772i | ||||
\(540\) | 0.405263 | − | 0.147504i | 0.0174398 | − | 0.00634755i | ||||
\(541\) | 19.4181 | + | 33.6331i | 0.834848 | + | 1.44600i | 0.894154 | + | 0.447760i | \(0.147778\pi\) |
−0.0593056 | + | 0.998240i | \(0.518889\pi\) | |||||||
\(542\) | 0.363688 | + | 2.06258i | 0.0156217 | + | 0.0885952i | ||||
\(543\) | −0.00828878 | − | 0.00695511i | −0.000355706 | − | 0.000298473i | ||||
\(544\) | 3.16074 | − | 5.47456i | 0.135515 | − | 0.234720i | ||||
\(545\) | −0.965184 | − | 1.67175i | −0.0413439 | − | 0.0716098i | ||||
\(546\) | 3.21947 | − | 18.2585i | 0.137781 | − | 0.781393i | ||||
\(547\) | 13.5046 | − | 23.3907i | 0.577417 | − | 1.00012i | −0.418357 | − | 0.908283i | \(-0.637394\pi\) |
0.995774 | − | 0.0918333i | \(-0.0292727\pi\) | |||||||
\(548\) | 21.3001 | + | 7.75260i | 0.909894 | + | 0.331175i | ||||
\(549\) | 16.6399 | 0.710173 | ||||||||
\(550\) | 4.96865 | + | 1.80844i | 0.211864 | + | 0.0771122i | ||||
\(551\) | −1.07515 | − | 6.09746i | −0.0458028 | − | 0.259761i | ||||
\(552\) | −10.3914 | + | 8.71941i | −0.442287 | + | 0.371123i | ||||
\(553\) | −12.5744 | − | 10.5512i | −0.534720 | − | 0.448683i | ||||
\(554\) | −10.9374 | −0.464684 | ||||||||
\(555\) | −14.9977 | − | 1.86882i | −0.636615 | − | 0.0793268i | ||||
\(556\) | 2.14583 | 0.0910036 | ||||||||
\(557\) | −10.5447 | − | 8.84806i | −0.446793 | − | 0.374904i | 0.391451 | − | 0.920199i | \(-0.371973\pi\) |
−0.838244 | + | 0.545295i | \(0.816418\pi\) | |||||||
\(558\) | −19.4558 | + | 16.3254i | −0.823631 | + | 0.691109i | ||||
\(559\) | 0.638610 | + | 3.62174i | 0.0270103 | + | 0.153183i | ||||
\(560\) | −4.17420 | − | 1.51928i | −0.176392 | − | 0.0642015i | ||||
\(561\) | −83.0500 | −3.50637 | ||||||||
\(562\) | 26.9909 | + | 9.82388i | 1.13854 | + | 0.414395i | ||||
\(563\) | 20.0842 | − | 34.7868i | 0.846447 | − | 1.46609i | −0.0379112 | − | 0.999281i | \(-0.512070\pi\) |
0.884358 | − | 0.466809i | \(-0.154596\pi\) | |||||||
\(564\) | −1.48672 | + | 8.43163i | −0.0626024 | + | 0.355036i | ||||
\(565\) | 9.31194 | + | 16.1288i | 0.391756 | + | 0.678542i | ||||
\(566\) | −6.36011 | + | 11.0160i | −0.267336 | + | 0.463039i | ||||
\(567\) | −28.7511 | − | 24.1250i | −1.20743 | − | 1.01316i | ||||
\(568\) | 1.40279 | + | 7.95559i | 0.0588596 | + | 0.333809i | ||||
\(569\) | −9.80627 | − | 16.9850i | −0.411100 | − | 0.712047i | 0.583910 | − | 0.811818i | \(-0.301522\pi\) |
−0.995010 | + | 0.0997717i | \(0.968189\pi\) | |||||||
\(570\) | −2.12864 | + | 0.774761i | −0.0891588 | + | 0.0324512i | ||||
\(571\) | −16.4395 | + | 5.98348i | −0.687970 | + | 0.250401i | −0.662266 | − | 0.749269i | \(-0.730405\pi\) |
−0.0257043 | + | 0.999670i | \(0.508183\pi\) | |||||||
\(572\) | 1.54235 | − | 8.74708i | 0.0644887 | − | 0.365734i | ||||
\(573\) | 37.1937 | − | 31.2092i | 1.55379 | − | 1.30378i | ||||
\(574\) | −25.0227 | + | 20.9965i | −1.04443 | + | 0.876379i | ||||
\(575\) | 0.948029 | − | 5.37654i | 0.0395355 | − | 0.224217i | ||||
\(576\) | −2.98218 | + | 1.08543i | −0.124258 | + | 0.0452261i | ||||
\(577\) | −33.3112 | + | 12.1243i | −1.38676 | + | 0.504741i | −0.924222 | − | 0.381857i | \(-0.875285\pi\) |
−0.462542 | + | 0.886597i | \(0.653063\pi\) | |||||||
\(578\) | −11.4805 | − | 19.8848i | −0.477527 | − | 0.827100i | ||||
\(579\) | 6.05784 | + | 34.3557i | 0.251755 | + | 1.42777i | ||||
\(580\) | 5.20240 | + | 4.36533i | 0.216018 | + | 0.181261i | ||||
\(581\) | 38.8627 | − | 67.3122i | 1.61230 | − | 2.79258i | ||||
\(582\) | −11.8263 | − | 20.4837i | −0.490215 | − | 0.849078i | ||||
\(583\) | −1.90834 | + | 10.8227i | −0.0790354 | + | 0.448232i | ||||
\(584\) | −4.47698 | + | 7.75435i | −0.185259 | + | 0.320877i | ||||
\(585\) | 5.00949 | + | 1.82330i | 0.207117 | + | 0.0753844i | ||||
\(586\) | 23.4896 | 0.970347 | ||||||||
\(587\) | −21.3532 | − | 7.77193i | −0.881341 | − | 0.320782i | −0.138590 | − | 0.990350i | \(-0.544257\pi\) |
−0.742751 | + | 0.669568i | \(0.766479\pi\) | |||||||
\(588\) | −5.49339 | − | 31.1546i | −0.226544 | − | 1.28479i | ||||
\(589\) | 5.58919 | − | 4.68989i | 0.230299 | − | 0.193243i | ||||
\(590\) | 6.73321 | + | 5.64984i | 0.277202 | + | 0.232600i | ||||
\(591\) | 35.5995 | 1.46437 | ||||||||
\(592\) | 6.03608 | + | 0.752139i | 0.248081 | + | 0.0309127i | ||||
\(593\) | −14.9285 | −0.613038 | −0.306519 | − | 0.951864i | \(-0.599164\pi\) | ||||
−0.306519 | + | 0.951864i | \(0.599164\pi\) | |||||||
\(594\) | 1.74686 | + | 1.46579i | 0.0716745 | + | 0.0601421i | ||||
\(595\) | −21.5109 | + | 18.0498i | −0.881863 | + | 0.739971i | ||||
\(596\) | −1.94195 | − | 11.0134i | −0.0795454 | − | 0.451125i | ||||
\(597\) | 0.205048 | + | 0.0746313i | 0.00839205 | + | 0.00305446i | ||||
\(598\) | −9.17086 | −0.375024 | ||||||||
\(599\) | 39.1215 | + | 14.2390i | 1.59846 | + | 0.581792i | 0.979111 | − | 0.203325i | \(-0.0651747\pi\) |
0.619348 | + | 0.785116i | \(0.287397\pi\) | |||||||
\(600\) | 1.24233 | − | 2.15179i | 0.0507181 | − | 0.0878463i | ||||
\(601\) | −6.22380 | + | 35.2969i | −0.253874 | + | 1.43979i | 0.545072 | + | 0.838389i | \(0.316502\pi\) |
−0.798946 | + | 0.601403i | \(0.794609\pi\) | |||||||
\(602\) | 4.86255 | + | 8.42218i | 0.198183 | + | 0.343262i | ||||
\(603\) | 7.80015 | − | 13.5102i | 0.317647 | − | 0.550180i | ||||
\(604\) | −14.2996 | − | 11.9988i | −0.581844 | − | 0.488225i | ||||
\(605\) | 2.94472 | + | 16.7003i | 0.119720 | + | 0.678965i | ||||
\(606\) | 1.29183 | + | 2.23752i | 0.0524771 | + | 0.0908930i | ||||
\(607\) | −28.4549 | + | 10.3567i | −1.15495 | + | 0.420367i | −0.847290 | − | 0.531130i | \(-0.821768\pi\) |
−0.307658 | + | 0.951497i | \(0.599545\pi\) | |||||||
\(608\) | 0.856709 | − | 0.311817i | 0.0347441 | − | 0.0126458i | ||||
\(609\) | −13.0159 | + | 73.8171i | −0.527433 | + | 2.99122i | ||||
\(610\) | 4.01657 | − | 3.37031i | 0.162626 | − | 0.136460i | ||||
\(611\) | −4.43409 | + | 3.72065i | −0.179384 | + | 0.150521i | ||||
\(612\) | −3.48367 | + | 19.7569i | −0.140819 | + | 0.798625i | ||||
\(613\) | 5.44371 | − | 1.98135i | 0.219869 | − | 0.0800259i | −0.229737 | − | 0.973253i | \(-0.573787\pi\) |
0.449606 | + | 0.893227i | \(0.351564\pi\) | |||||||
\(614\) | −0.160280 | + | 0.0583370i | −0.00646836 | + | 0.00235429i | ||||
\(615\) | −9.13548 | − | 15.8231i | −0.368378 | − | 0.638050i | ||||
\(616\) | −4.07859 | − | 23.1308i | −0.164331 | − | 0.931968i | ||||
\(617\) | 29.8565 | + | 25.0526i | 1.20198 | + | 1.00858i | 0.999571 | + | 0.0292758i | \(0.00932009\pi\) |
0.202405 | + | 0.979302i | \(0.435124\pi\) | |||||||
\(618\) | 4.80446 | − | 8.32156i | 0.193264 | − | 0.334742i | ||||
\(619\) | 13.1344 | + | 22.7495i | 0.527917 | + | 0.914380i | 0.999470 | + | 0.0325419i | \(0.0103602\pi\) |
−0.471553 | + | 0.881838i | \(0.656306\pi\) | |||||||
\(620\) | −1.38969 | + | 7.88132i | −0.0558112 | + | 0.316521i | ||||
\(621\) | 1.17726 | − | 2.03908i | 0.0472418 | − | 0.0818253i | ||||
\(622\) | −8.00050 | − | 2.91194i | −0.320791 | − | 0.116758i | ||||
\(623\) | 27.0016 | 1.08180 | ||||||||
\(624\) | −3.92205 | − | 1.42751i | −0.157008 | − | 0.0571461i | ||||
\(625\) | 0.173648 | + | 0.984808i | 0.00694593 | + | 0.0393923i | ||||
\(626\) | 1.22621 | − | 1.02892i | 0.0490093 | − | 0.0411237i | ||||
\(627\) | −9.17535 | − | 7.69903i | −0.366428 | − | 0.307470i | ||||
\(628\) | −5.24863 | −0.209443 | ||||||||
\(629\) | 23.1961 | − | 30.6676i | 0.924889 | − | 1.22280i | ||||
\(630\) | 14.0973 | 0.561650 | ||||||||
\(631\) | −9.18612 | − | 7.70807i | −0.365694 | − | 0.306853i | 0.441362 | − | 0.897329i | \(-0.354496\pi\) |
−0.807055 | + | 0.590476i | \(0.798940\pi\) | |||||||
\(632\) | −2.83075 | + | 2.37528i | −0.112601 | + | 0.0944836i | ||||
\(633\) | 0.291437 | + | 1.65282i | 0.0115836 | + | 0.0656937i | ||||
\(634\) | −2.35418 | − | 0.856852i | −0.0934965 | − | 0.0340300i | ||||
\(635\) | −20.8152 | −0.826026 | ||||||||
\(636\) | 4.85274 | + | 1.76625i | 0.192424 | + | 0.0700365i | ||||
\(637\) | 10.6938 | − | 18.5221i | 0.423702 | − | 0.733874i | ||||
\(638\) | −6.23552 | + | 35.3634i | −0.246867 | + | 1.40005i | ||||
\(639\) | −12.8186 | − | 22.2024i | −0.507095 | − | 0.878314i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −22.0221 | − | 18.4787i | −0.869820 | − | 0.729866i | 0.0942401 | − | 0.995549i | \(-0.469958\pi\) |
−0.964060 | + | 0.265684i | \(0.914402\pi\) | |||||||
\(642\) | −3.70659 | − | 21.0211i | −0.146287 | − | 0.829637i | ||||
\(643\) | −2.77785 | − | 4.81137i | −0.109548 | − | 0.189742i | 0.806039 | − | 0.591862i | \(-0.201607\pi\) |
−0.915587 | + | 0.402120i | \(0.868274\pi\) | |||||||
\(644\) | −22.7889 | + | 8.29450i | −0.898010 | + | 0.326849i | ||||
\(645\) | −5.11165 | + | 1.86049i | −0.201271 | + | 0.0732566i | ||||
\(646\) | 1.00077 | − | 5.67567i | 0.0393749 | − | 0.223306i | ||||
\(647\) | −23.2899 | + | 19.5425i | −0.915620 | + | 0.768296i | −0.973180 | − | 0.230046i | \(-0.926112\pi\) |
0.0575599 | + | 0.998342i | \(0.481668\pi\) | |||||||
\(648\) | −6.47243 | + | 5.43101i | −0.254261 | + | 0.213350i | ||||
\(649\) | −8.07033 | + | 45.7691i | −0.316788 | + | 1.79660i | ||||
\(650\) | 1.57850 | − | 0.574527i | 0.0619139 | − | 0.0225348i | ||||
\(651\) | −83.0020 | + | 30.2103i | −3.25311 | + | 1.18403i | ||||
\(652\) | −0.710960 | − | 1.23142i | −0.0278434 | − | 0.0482261i | ||||
\(653\) | −2.78397 | − | 15.7887i | −0.108945 | − | 0.617858i | −0.989571 | − | 0.144046i | \(-0.953989\pi\) |
0.880626 | − | 0.473812i | \(-0.157122\pi\) | |||||||
\(654\) | −3.67420 | − | 3.08302i | −0.143672 | − | 0.120555i | ||||
\(655\) | −3.13071 | + | 5.42254i | −0.122327 | + | 0.211876i | ||||
\(656\) | 3.67674 | + | 6.36830i | 0.143553 | + | 0.248640i | ||||
\(657\) | 4.93439 | − | 27.9843i | 0.192509 | − | 1.09177i | ||||
\(658\) | −7.65331 | + | 13.2559i | −0.298357 | + | 0.516769i | ||||
\(659\) | −10.0365 | − | 3.65299i | −0.390967 | − | 0.142300i | 0.139054 | − | 0.990285i | \(-0.455594\pi\) |
−0.530021 | + | 0.847984i | \(0.677816\pi\) | |||||||
\(660\) | 13.1378 | 0.511386 | ||||||||
\(661\) | −29.8658 | − | 10.8703i | −1.16164 | − | 0.422804i | −0.311960 | − | 0.950095i | \(-0.600985\pi\) |
−0.849685 | + | 0.527291i | \(0.823208\pi\) | |||||||
\(662\) | 4.80315 | + | 27.2400i | 0.186680 | + | 1.05871i | ||||
\(663\) | −20.2115 | + | 16.9595i | −0.784951 | + | 0.658652i | ||||
\(664\) | −13.4039 | − | 11.2472i | −0.520171 | − | 0.436475i | ||||
\(665\) | −4.04981 | −0.157045 | ||||||||
\(666\) | −18.8171 | + | 4.30870i | −0.729148 | + | 0.166959i | ||||
\(667\) | 37.0767 | 1.43562 | ||||||||
\(668\) | 6.35205 | + | 5.33001i | 0.245768 | + | 0.206224i | ||||
\(669\) | 11.7059 | − | 9.82244i | 0.452578 | − | 0.379758i | ||||
\(670\) | −0.853600 | − | 4.84101i | −0.0329774 | − | 0.187024i | ||||
\(671\) | 26.0520 | + | 9.48214i | 1.00572 | + | 0.366054i | ||||
\(672\) | −11.0371 | −0.425766 | ||||||||
\(673\) | −15.8206 | − | 5.75823i | −0.609840 | − | 0.221964i | 0.0185932 | − | 0.999827i | \(-0.494081\pi\) |
−0.628433 | + | 0.777863i | \(0.716303\pi\) | |||||||
\(674\) | 14.4460 | − | 25.0212i | 0.556438 | − | 0.963780i | ||||
\(675\) | −0.0748896 | + | 0.424720i | −0.00288250 | + | 0.0163475i | ||||
\(676\) | 5.08913 | + | 8.81463i | 0.195736 | + | 0.339024i | ||||
\(677\) | 17.0293 | − | 29.4956i | 0.654489 | − | 1.13361i | −0.327533 | − | 0.944840i | \(-0.606217\pi\) |
0.982022 | − | 0.188768i | \(-0.0604493\pi\) | |||||||
\(678\) | 35.4481 | + | 29.7445i | 1.36137 | + | 1.14233i | ||||
\(679\) | −7.34290 | − | 41.6437i | −0.281795 | − | 1.59814i | ||||
\(680\) | 3.16074 | + | 5.47456i | 0.121209 | + | 0.209940i | ||||
\(681\) | 47.3257 | − | 17.2252i | 1.81353 | − | 0.660069i | ||||
\(682\) | −39.7636 | + | 14.4728i | −1.52263 | + | 0.554191i | ||||
\(683\) | −3.64481 | + | 20.6707i | −0.139465 | + | 0.790944i | 0.832181 | + | 0.554503i | \(0.187092\pi\) |
−0.971646 | + | 0.236440i | \(0.924019\pi\) | |||||||
\(684\) | −2.21641 | + | 1.85979i | −0.0847466 | + | 0.0711108i | ||||
\(685\) | −17.3640 | + | 14.5701i | −0.663444 | + | 0.556695i | ||||
\(686\) | 4.42156 | − | 25.0759i | 0.168816 | − | 0.957402i | ||||
\(687\) | 39.4775 | − | 14.3686i | 1.50616 | − | 0.548198i | ||||
\(688\) | 2.05728 | − | 0.748787i | 0.0784329 | − | 0.0285472i | ||||
\(689\) | 1.74567 | + | 3.02359i | 0.0665047 | + | 0.115189i | ||||
\(690\) | −2.35554 | − | 13.3589i | −0.0896737 | − | 0.508565i | ||||
\(691\) | 12.0591 | + | 10.1187i | 0.458748 | + | 0.384935i | 0.842670 | − | 0.538430i | \(-0.180982\pi\) |
−0.383922 | + | 0.923365i | \(0.625427\pi\) | |||||||
\(692\) | 3.54848 | − | 6.14614i | 0.134893 | − | 0.233641i | ||||
\(693\) | 37.2699 | + | 64.5534i | 1.41577 | + | 2.45218i | ||||
\(694\) | 0.529510 | − | 3.00300i | 0.0200999 | − | 0.113992i | ||||
\(695\) | −1.07292 | + | 1.85835i | −0.0406980 | + | 0.0704911i | ||||
\(696\) | 15.8564 | + | 5.77125i | 0.601035 | + | 0.218759i | ||||
\(697\) | 46.4849 | 1.76074 | ||||||||
\(698\) | 7.67442 | + | 2.79326i | 0.290481 | + | 0.105726i | ||||
\(699\) | −10.1648 | − | 57.6474i | −0.384468 | − | 2.18042i | ||||
\(700\) | 3.40284 | − | 2.85532i | 0.128615 | − | 0.107921i | ||||
\(701\) | −4.40863 | − | 3.69928i | −0.166512 | − | 0.139720i | 0.555724 | − | 0.831367i | \(-0.312441\pi\) |
−0.722236 | + | 0.691647i | \(0.756886\pi\) | |||||||
\(702\) | 0.724453 | 0.0273427 | ||||||||
\(703\) | 5.40570 | − | 1.23779i | 0.203880 | − | 0.0466840i | ||||
\(704\) | −5.28753 | −0.199281 | ||||||||
\(705\) | −6.55865 | − | 5.50336i | −0.247013 | − | 0.207268i | ||||
\(706\) | −18.4785 | + | 15.5053i | −0.695449 | + | 0.583551i | ||||
\(707\) | 0.802094 | + | 4.54890i | 0.0301659 | + | 0.171079i | ||||
\(708\) | 20.5221 | + | 7.46945i | 0.771269 | + | 0.280719i | ||||
\(709\) | −28.4200 | −1.06734 | −0.533668 | − | 0.845694i | \(-0.679187\pi\) | ||||
−0.533668 | + | 0.845694i | \(0.679187\pi\) | |||||||
\(710\) | −7.59114 | − | 2.76295i | −0.284890 | − | 0.103692i | ||||
\(711\) | 5.86363 | − | 10.1561i | 0.219903 | − | 0.380883i | ||||
\(712\) | 1.05553 | − | 5.98623i | 0.0395578 | − | 0.224344i | ||||
\(713\) | 21.8458 | + | 37.8381i | 0.818133 | + | 1.41705i | ||||
\(714\) | −34.8854 | + | 60.4233i | −1.30555 | + | 2.26129i | ||||
\(715\) | 6.80402 | + | 5.70925i | 0.254456 | + | 0.213514i | ||||
\(716\) | −3.41380 | − | 19.3606i | −0.127580 | − | 0.723539i | ||||
\(717\) | −8.21808 | − | 14.2341i | −0.306910 | − | 0.531583i | ||||
\(718\) | −2.43805 | + | 0.887376i | −0.0909871 | + | 0.0331166i | ||||
\(719\) | 15.3773 | − | 5.59687i | 0.573475 | − | 0.208728i | −0.0389707 | − | 0.999240i | \(-0.512408\pi\) |
0.612446 | + | 0.790512i | \(0.290186\pi\) | |||||||
\(720\) | 0.551085 | − | 3.12536i | 0.0205377 | − | 0.116475i | ||||
\(721\) | 13.1597 | − | 11.0423i | 0.490094 | − | 0.411238i | ||||
\(722\) | −13.9181 | + | 11.6787i | −0.517979 | + | 0.434636i | ||||
\(723\) | −10.6853 | + | 60.5991i | −0.397389 | + | 2.25371i | ||||
\(724\) | −0.00409218 | + | 0.00148943i | −0.000152085 | + | 5.53542e-5i | ||||
\(725\) | −6.38169 | + | 2.32275i | −0.237010 | + | 0.0862646i | ||||
\(726\) | 21.0674 | + | 36.4899i | 0.781886 | + | 1.35427i | ||||
\(727\) | 4.45281 | + | 25.2532i | 0.165146 | + | 0.936588i | 0.948914 | + | 0.315534i | \(0.102184\pi\) |
−0.783768 | + | 0.621053i | \(0.786705\pi\) | |||||||
\(728\) | −5.71610 | − | 4.79638i | −0.211853 | − | 0.177766i | ||||
\(729\) | 15.0144 | − | 26.0056i | 0.556087 | − | 0.963171i | ||||
\(730\) | −4.47698 | − | 7.75435i | −0.165700 | − | 0.287001i | ||||
\(731\) | 2.40323 | − | 13.6294i | 0.0888866 | − | 0.504101i | ||||
\(732\) | 6.51389 | − | 11.2824i | 0.240760 | − | 0.417009i | ||||
\(733\) | 8.70425 | + | 3.16809i | 0.321499 | + | 0.117016i | 0.497728 | − | 0.867333i | \(-0.334168\pi\) |
−0.176229 | + | 0.984349i | \(0.556390\pi\) | |||||||
\(734\) | −14.3862 | −0.531006 | ||||||||
\(735\) | 29.7273 | + | 10.8199i | 1.09651 | + | 0.399097i | ||||
\(736\) | 0.948029 | + | 5.37654i | 0.0349448 | + | 0.198182i | ||||
\(737\) | 19.9109 | − | 16.7072i | 0.733427 | − | 0.615419i | ||||
\(738\) | −17.8770 | − | 15.0006i | −0.658063 | − | 0.552180i | ||||
\(739\) | 1.19168 | 0.0438368 | 0.0219184 | − | 0.999760i | \(-0.493023\pi\) | ||||
0.0219184 | + | 0.999760i | \(0.493023\pi\) | |||||||
\(740\) | −3.66941 | + | 4.85133i | −0.134890 | + | 0.178338i | ||||
\(741\) | −3.80518 | −0.139787 | ||||||||
\(742\) | 7.07252 | + | 5.93455i | 0.259640 | + | 0.217864i | ||||
\(743\) | 18.5493 | − | 15.5647i | 0.680508 | − | 0.571014i | −0.235647 | − | 0.971839i | \(-0.575721\pi\) |
0.916155 | + | 0.400825i | \(0.131276\pi\) | |||||||
\(744\) | 3.45291 | + | 19.5825i | 0.126590 | + | 0.717928i | ||||
\(745\) | 10.5088 | + | 3.82490i | 0.385013 | + | 0.140133i | ||||
\(746\) | 27.3047 | 0.999696 | ||||||||
\(747\) | 52.1808 | + | 18.9922i | 1.90919 | + | 0.694890i | ||||
\(748\) | −16.7125 | + | 28.9469i | −0.611069 | + | 1.05840i | ||||
\(749\) | 6.62664 | − | 37.5815i | 0.242132 | − | 1.37320i | ||||
\(750\) | 1.24233 | + | 2.15179i | 0.0453636 | + | 0.0785721i | ||||
\(751\) | 8.62392 | − | 14.9371i | 0.314691 | − | 0.545062i | −0.664680 | − | 0.747128i | \(-0.731432\pi\) |
0.979372 | + | 0.202066i | \(0.0647656\pi\) | |||||||
\(752\) | 2.63965 | + | 2.21493i | 0.0962580 | + | 0.0807701i | ||||
\(753\) | 6.29572 | + | 35.7048i | 0.229429 | + | 1.30115i | ||||
\(754\) | 5.70399 | + | 9.87960i | 0.207727 | + | 0.359794i | ||||
\(755\) | 17.5411 | − | 6.38444i | 0.638386 | − | 0.232354i | ||||
\(756\) | 1.80022 | − | 0.655225i | 0.0654732 | − | 0.0238303i | ||||
\(757\) | 1.36552 | − | 7.74425i | 0.0496307 | − | 0.281469i | −0.949885 | − | 0.312601i | \(-0.898800\pi\) |
0.999515 | + | 0.0311312i | \(0.00991097\pi\) | |||||||
\(758\) | 7.71204 | − | 6.47117i | 0.280114 | − | 0.235044i | ||||
\(759\) | 54.9448 | − | 46.1041i | 1.99437 | − | 1.67347i | ||||
\(760\) | −0.158313 | + | 0.897840i | −0.00574263 | + | 0.0325681i | ||||
\(761\) | 12.7350 | − | 4.63517i | 0.461644 | − | 0.168025i | −0.100719 | − | 0.994915i | \(-0.532114\pi\) |
0.562363 | + | 0.826890i | \(0.309892\pi\) | |||||||
\(762\) | −48.5998 | + | 17.6889i | −1.76059 | + | 0.640801i | ||||
\(763\) | −4.28743 | − | 7.42605i | −0.155215 | − | 0.268841i | ||||
\(764\) | −3.39326 | − | 19.2441i | −0.122764 | − | 0.696228i | ||||
\(765\) | −15.3681 | − | 12.8954i | −0.555636 | − | 0.466234i | ||||
\(766\) | 9.06201 | − | 15.6959i | 0.327424 | − | 0.567115i | ||||
\(767\) | 7.38240 | + | 12.7867i | 0.266563 | + | 0.461700i | ||||
\(768\) | −0.431458 | + | 2.44692i | −0.0155689 | + | 0.0882956i | ||||
\(769\) | 1.09837 | − | 1.90243i | 0.0396082 | − | 0.0686035i | −0.845542 | − | 0.533909i | \(-0.820722\pi\) |
0.885150 | + | 0.465306i | \(0.154056\pi\) | |||||||
\(770\) | 22.0712 | + | 8.03326i | 0.795391 | + | 0.289498i | ||||
\(771\) | −23.5367 | −0.847652 | ||||||||
\(772\) | 13.1936 | + | 4.80209i | 0.474850 | + | 0.172831i | ||||
\(773\) | −0.296546 | − | 1.68179i | −0.0106660 | − | 0.0604899i | 0.979010 | − | 0.203811i | \(-0.0653329\pi\) |
−0.989676 | + | 0.143321i | \(0.954222\pi\) | |||||||
\(774\) | −5.32242 | + | 4.46604i | −0.191310 | + | 0.160529i | ||||
\(775\) | −6.13058 | − | 5.14416i | −0.220217 | − | 0.184784i | ||||
\(776\) | −9.51941 | −0.341727 | ||||||||
\(777\) | −66.6209 | − | 8.30145i | −2.39001 | − | 0.297813i | ||||
\(778\) | −31.4903 | −1.12898 | ||||||||
\(779\) | 5.13564 | + | 4.30931i | 0.184003 | + | 0.154397i | ||||
\(780\) | 3.19728 | − | 2.68284i | 0.114481 | − | 0.0960611i | ||||
\(781\) | −7.41727 | − | 42.0654i | −0.265411 | − | 1.50522i | ||||
\(782\) | 32.4306 | + | 11.8038i | 1.15972 | + | 0.422102i | ||||
\(783\) | −2.92888 | −0.104670 | ||||||||
\(784\) | −11.9643 | − | 4.35465i | −0.427297 | − | 0.155523i | ||||
\(785\) | 2.62431 | − | 4.54544i | 0.0936658 | − | 0.162234i | ||||
\(786\) | −2.70154 | + | 15.3212i | −0.0963606 | + | 0.546488i | ||||
\(787\) | −12.4475 | − | 21.5597i | −0.443705 | − | 0.768519i | 0.554256 | − | 0.832346i | \(-0.313003\pi\) |
−0.997961 | + | 0.0638268i | \(0.979669\pi\) | |||||||
\(788\) | 7.16383 | − | 12.4081i | 0.255201 | − | 0.442021i | ||||
\(789\) | 7.23558 | + | 6.07137i | 0.257593 | + | 0.216147i | ||||
\(790\) | −0.641679 | − | 3.63914i | −0.0228299 | − | 0.129475i | ||||
\(791\) | 41.3645 | + | 71.6454i | 1.47075 | + | 2.54742i | ||||
\(792\) | 15.7684 | − | 5.73922i | 0.560305 | − | 0.203934i | ||||
\(793\) | 8.27650 | − | 3.01240i | 0.293907 | − | 0.106973i | ||||
\(794\) | −0.981346 | + | 5.56549i | −0.0348267 | + | 0.197512i | ||||
\(795\) | −3.95599 | + | 3.31947i | −0.140304 | + | 0.117729i | ||||
\(796\) | 0.0672752 | − | 0.0564506i | 0.00238451 | − | 0.00200084i | ||||
\(797\) | 4.42175 | − | 25.0770i | 0.156626 | − | 0.888272i | −0.800658 | − | 0.599122i | \(-0.795516\pi\) |
0.957284 | − | 0.289150i | \(-0.0933725\pi\) | |||||||
\(798\) | −9.45560 | + | 3.44156i | −0.334725 | + | 0.121830i | ||||
\(799\) | 20.4690 | − | 7.45010i | 0.724140 | − | 0.263566i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | 3.34982 | + | 18.9977i | 0.118360 | + | 0.671252i | ||||
\(802\) | −15.1235 | − | 12.6901i | −0.534028 | − | 0.448103i | ||||
\(803\) | 23.6721 | − | 41.0013i | 0.835372 | − | 1.44691i | ||||
\(804\) | −6.10692 | − | 10.5775i | −0.215375 | − | 0.373040i | ||||
\(805\) | 4.21123 | − | 23.8831i | 0.148426 | − | 0.841767i | ||||
\(806\) | −6.72166 | + | 11.6422i | −0.236760 | + | 0.410081i | ||||
\(807\) | 7.39539 | + | 2.69170i | 0.260330 | + | 0.0947524i | ||||
\(808\) | 1.03984 | 0.0365816 | ||||||||
\(809\) | −51.2018 | − | 18.6359i | −1.80016 | − | 0.655205i | −0.998337 | − | 0.0576430i | \(-0.981641\pi\) |
−0.801823 | − | 0.597562i | \(-0.796136\pi\) | |||||||
\(810\) | −1.46718 | − | 8.32079i | −0.0515514 | − | 0.292363i | ||||
\(811\) | 10.7095 | − | 8.98635i | 0.376062 | − | 0.315553i | −0.435092 | − | 0.900386i | \(-0.643284\pi\) |
0.811154 | + | 0.584833i | \(0.198840\pi\) | |||||||
\(812\) | 23.1095 | + | 19.3912i | 0.810986 | + | 0.680498i | ||||
\(813\) | −5.20387 | −0.182508 | ||||||||
\(814\) | −31.9160 | − | 3.97696i | −1.11865 | − | 0.139392i | ||||
\(815\) | 1.42192 | 0.0498077 | ||||||||
\(816\) | 12.0321 | + | 10.0961i | 0.421207 | + | 0.353435i | ||||
\(817\) | 1.52900 | − | 1.28299i | 0.0534930 | − | 0.0448860i | ||||
\(818\) | −5.09860 | − | 28.9156i | −0.178268 | − | 1.01101i | ||||
\(819\) | 22.2526 | + | 8.09928i | 0.777568 | + | 0.283012i | ||||
\(820\) | −7.35348 | −0.256795 | ||||||||
\(821\) | 42.2078 | + | 15.3624i | 1.47306 | + | 0.536150i | 0.948930 | − | 0.315487i | \(-0.102168\pi\) |
0.524131 | + | 0.851637i | \(0.324390\pi\) | |||||||
\(822\) | −28.1601 | + | 48.7747i | −0.982195 | + | 1.70121i | ||||
\(823\) | −6.52423 | + | 37.0007i | −0.227420 | + | 1.28976i | 0.630584 | + | 0.776121i | \(0.282816\pi\) |
−0.858004 | + | 0.513643i | \(0.828296\pi\) | |||||||
\(824\) | −1.93364 | − | 3.34916i | −0.0673616 | − | 0.116674i | ||||
\(825\) | −6.56888 | + | 11.3776i | −0.228699 | + | 0.396118i | ||||
\(826\) | 29.9095 | + | 25.0971i | 1.04069 | + | 0.873239i | ||||
\(827\) | 5.10897 | + | 28.9744i | 0.177656 | + | 1.00754i | 0.935033 | + | 0.354561i | \(0.115370\pi\) |
−0.757376 | + | 0.652979i | \(0.773519\pi\) | |||||||
\(828\) | −8.66303 | − | 15.0048i | −0.301061 | − | 0.521453i | ||||
\(829\) | −26.2039 | + | 9.53743i | −0.910098 | + | 0.331249i | −0.754292 | − | 0.656539i | \(-0.772020\pi\) |
−0.155806 | + | 0.987788i | \(0.549797\pi\) | |||||||
\(830\) | 16.4423 | − | 5.98450i | 0.570720 | − | 0.207725i | ||||
\(831\) | 4.71901 | − | 26.7629i | 0.163701 | − | 0.928393i | ||||
\(832\) | −1.28681 | + | 1.07976i | −0.0446120 | + | 0.0374339i | ||||
\(833\) | −61.6558 | + | 51.7354i | −2.13625 | + | 1.79252i | ||||
\(834\) | −0.925837 | + | 5.25068i | −0.0320591 | + | 0.181816i | ||||
\(835\) | −7.79195 | + | 2.83604i | −0.269651 | + | 0.0981451i | ||||
\(836\) | −4.52987 | + | 1.64874i | −0.156669 | + | 0.0570228i | ||||
\(837\) | −1.72571 | − | 2.98902i | −0.0596494 | − | 0.103316i | ||||
\(838\) | 4.25756 | + | 24.1458i | 0.147075 | + | 0.834104i | ||||
\(839\) | −9.14321 | − | 7.67206i | −0.315659 | − | 0.264869i | 0.471168 | − | 0.882044i | \(-0.343833\pi\) |
−0.786826 | + | 0.617175i | \(0.788277\pi\) | |||||||
\(840\) | 5.51856 | − | 9.55842i | 0.190408 | − | 0.329797i | ||||
\(841\) | −8.56057 | − | 14.8273i | −0.295192 | − | 0.511288i | ||||
\(842\) | −1.53986 | + | 8.73299i | −0.0530671 | + | 0.300959i | ||||
\(843\) | −35.6837 | + | 61.8060i | −1.22901 | + | 2.12871i | ||||
\(844\) | 0.634734 | + | 0.231024i | 0.0218484 | + | 0.00795218i | ||||
\(845\) | −10.1783 | −0.350143 | ||||||||
\(846\) | −10.2761 | − | 3.74018i | −0.353298 | − | 0.128590i | ||||
\(847\) | 13.0807 | + | 74.1843i | 0.449458 | + | 2.54900i | ||||
\(848\) | 1.59216 | − | 1.33598i | 0.0546750 | − | 0.0458778i | ||||
\(849\) | −24.2112 | − | 20.3156i | −0.830928 | − | 0.697231i | ||||
\(850\) | −6.32147 | −0.216825 | ||||||||
\(851\) | 1.67847 | + | 33.1663i | 0.0575374 | + | 1.13693i | ||||
\(852\) | −20.0719 | −0.687654 | ||||||||
\(853\) | −10.3052 | − | 8.64710i | −0.352844 | − | 0.296071i | 0.449087 | − | 0.893488i | \(-0.351749\pi\) |
−0.801931 | + | 0.597417i | \(0.796194\pi\) | |||||||
\(854\) | 17.8420 | − | 14.9712i | 0.610540 | − | 0.512304i | ||||
\(855\) | −0.502419 | − | 2.84936i | −0.0171824 | − | 0.0974461i | ||||
\(856\) | −8.07275 | − | 2.93824i | −0.275921 | − | 0.100427i | ||||
\(857\) | 1.97378 | 0.0674229 | 0.0337115 | − | 0.999432i | \(-0.489267\pi\) | ||||
0.0337115 | + | 0.999432i | \(0.489267\pi\) | |||||||
\(858\) | 20.7379 | + | 7.54800i | 0.707982 | + | 0.257684i | ||||
\(859\) | −26.4722 | + | 45.8513i | −0.903221 | + | 1.56442i | −0.0799334 | + | 0.996800i | \(0.525471\pi\) |
−0.823288 | + | 0.567624i | \(0.807863\pi\) | |||||||
\(860\) | −0.380169 | + | 2.15605i | −0.0129637 | + | 0.0735206i | ||||
\(861\) | −40.5806 | − | 70.2877i | −1.38298 | − | 2.39540i | ||||
\(862\) | 9.34970 | − | 16.1942i | 0.318452 | − | 0.551575i | ||||
\(863\) | 22.9119 | + | 19.2253i | 0.779929 | + | 0.654438i | 0.943231 | − | 0.332138i | \(-0.107770\pi\) |
−0.163302 | + | 0.986576i | \(0.552214\pi\) | |||||||
\(864\) | −0.0748896 | − | 0.424720i | −0.00254780 | − | 0.0144493i | ||||
\(865\) | 3.54848 | + | 6.14614i | 0.120652 | + | 0.208975i | ||||
\(866\) | 13.1442 | − | 4.78410i | 0.446658 | − | 0.162570i | ||||
\(867\) | 53.6100 | − | 19.5124i | 1.82069 | − | 0.662677i | ||||
\(868\) | −6.17312 | + | 35.0095i | −0.209529 | + | 1.18830i | ||||
\(869\) | 14.9677 | − | 12.5594i | 0.507744 | − | 0.426047i | ||||
\(870\) | −12.9262 | + | 10.8464i | −0.438241 | + | 0.367728i | ||||
\(871\) | 1.43388 | − | 8.13195i | 0.0485852 | − | 0.275541i | ||||
\(872\) | −1.81395 | + | 0.660225i | −0.0614282 | + | 0.0223580i | ||||
\(873\) | 28.3886 | − | 10.3326i | 0.960810 | − | 0.349706i | ||||
\(874\) | 2.48868 | + | 4.31052i | 0.0841808 | + | 0.145805i | ||||
\(875\) | 0.771361 | + | 4.37460i | 0.0260767 | + | 0.147889i | ||||
\(876\) | −17.0426 | − | 14.3005i | −0.575818 | − | 0.483168i | ||||
\(877\) | −25.0893 | + | 43.4559i | −0.847204 | + | 1.46740i | 0.0364886 | + | 0.999334i | \(0.488383\pi\) |
−0.883693 | + | 0.468067i | \(0.844951\pi\) | |||||||
\(878\) | −6.23289 | − | 10.7957i | −0.210350 | − | 0.364337i | ||||
\(879\) | −10.1348 | + | 57.4772i | −0.341838 | + | 1.93866i | ||||
\(880\) | 2.64376 | − | 4.57913i | 0.0891213 | − | 0.154363i | ||||
\(881\) | −19.2642 | − | 7.01160i | −0.649027 | − | 0.236227i | −0.00353547 | − | 0.999994i | \(-0.501125\pi\) |
−0.645492 | + | 0.763767i | \(0.723348\pi\) | |||||||
\(882\) | 40.4064 | 1.36055 | ||||||||
\(883\) | −21.0262 | − | 7.65290i | −0.707587 | − | 0.257540i | −0.0369400 | − | 0.999317i | \(-0.511761\pi\) |
−0.670647 | + | 0.741777i | \(0.733983\pi\) | |||||||
\(884\) | 1.84394 | + | 10.4575i | 0.0620185 | + | 0.351724i | ||||
\(885\) | −16.7298 | + | 14.0380i | −0.562366 | + | 0.471881i | ||||
\(886\) | −21.1519 | − | 17.7485i | −0.710610 | − | 0.596273i | ||||
\(887\) | −36.3415 | −1.22023 | −0.610114 | − | 0.792313i | \(-0.708876\pi\) | ||||
−0.610114 | + | 0.792313i | \(0.708876\pi\) | |||||||
\(888\) | −4.44474 | + | 14.4453i | −0.149156 | + | 0.484752i | ||||
\(889\) | −92.4630 | −3.10111 | ||||||||
\(890\) | 4.65646 | + | 3.90724i | 0.156085 | + | 0.130971i | ||||
\(891\) | 34.2231 | − | 28.7166i | 1.14652 | − | 0.962043i | ||||
\(892\) | −1.06796 | − | 6.05669i | −0.0357579 | − | 0.202793i | ||||
\(893\) | 2.95206 | + | 1.07446i | 0.0987870 | + | 0.0359555i | ||||
\(894\) | 27.7867 | 0.929325 | ||||||||
\(895\) | 18.4737 | + | 6.72386i | 0.617507 | + | 0.224754i | ||||
\(896\) | −2.22104 | + | 3.84696i | −0.0741999 | + | 0.128518i | ||||
\(897\) | 3.95684 | − | 22.4404i | 0.132115 | − | 0.749262i | ||||
\(898\) | 8.39030 | + | 14.5324i | 0.279988 | + | 0.484954i | ||||
\(899\) | 27.1749 | − | 47.0682i | 0.906332 | − | 1.56981i | ||||
\(900\) | 2.43110 | + | 2.03993i | 0.0810366 | + | 0.0679978i | ||||
\(901\) | −2.28150 | − | 12.9391i | −0.0760079 | − | 0.431062i | ||||
\(902\) | −19.4409 | − | 33.6726i | −0.647310 | − | 1.12117i | ||||
\(903\) | −22.7064 | + | 8.26445i | −0.755621 | + | 0.275024i | ||||
\(904\) | 17.5007 | − | 6.36974i | 0.582065 | − | 0.211855i | ||||
\(905\) | 0.000756204 | − | 0.00428864i | 2.51371e−5 | − | 0.000142559i | ||||
\(906\) | 35.5299 | − | 29.8131i | 1.18040 | − | 0.990473i | ||||
\(907\) | 22.5001 | − | 18.8798i | 0.747102 | − | 0.626893i | −0.187633 | − | 0.982239i | \(-0.560081\pi\) |
0.934735 | + | 0.355346i | \(0.115637\pi\) | |||||||
\(908\) | 3.51976 | − | 19.9616i | 0.116807 | − | 0.662448i | ||||
\(909\) | −3.10100 | + | 1.12867i | −0.102854 | + | 0.0374357i | ||||
\(910\) | 7.01184 | − | 2.55210i | 0.232440 | − | 0.0846013i | ||||
\(911\) | 11.7623 | + | 20.3729i | 0.389703 | + | 0.674985i | 0.992409 | − | 0.122978i | \(-0.0392444\pi\) |
−0.602707 | + | 0.797963i | \(0.705911\pi\) | |||||||
\(912\) | 0.393356 | + | 2.23083i | 0.0130253 | + | 0.0738703i | ||||
\(913\) | 70.8733 | + | 59.4698i | 2.34556 | + | 1.96816i | ||||
\(914\) | −2.73434 | + | 4.73602i | −0.0904439 | + | 0.156653i | ||||
\(915\) | 6.51389 | + | 11.2824i | 0.215342 | + | 0.372984i | ||||
\(916\) | 2.93607 | − | 16.6513i | 0.0970104 | − | 0.550173i | ||||
\(917\) | −13.9069 | + | 24.0874i | −0.459245 | + | 0.795437i | ||||
\(918\) | −2.56186 | − | 0.932441i | −0.0845540 | − | 0.0307751i | ||||
\(919\) | −3.17209 | −0.104637 | −0.0523187 | − | 0.998630i | \(-0.516661\pi\) | ||||
−0.0523187 | + | 0.998630i | \(0.516661\pi\) | |||||||
\(920\) | −5.13023 | − | 1.86725i | −0.169139 | − | 0.0615615i | ||||
\(921\) | −0.0735921 | − | 0.417362i | −0.00242494 | − | 0.0137525i | ||||
\(922\) | −6.08465 | + | 5.10563i | −0.200387 | + | 0.168145i | ||||
\(923\) | −10.3952 | − | 8.72263i | −0.342163 | − | 0.287109i | ||||
\(924\) | 58.3591 | 1.91987 | ||||||||
\(925\) | −2.36667 | − | 5.60347i | −0.0778156 | − | 0.184241i | ||||
\(926\) | 35.9452 | 1.18123 | ||||||||
\(927\) | 9.40174 | + | 7.88900i | 0.308794 | + | 0.259109i | ||||
\(928\) | 5.20240 | − | 4.36533i | 0.170777 | − | 0.143299i | ||||
\(929\) | −0.959165 | − | 5.43969i | −0.0314692 | − | 0.178471i | 0.965022 | − | 0.262169i | \(-0.0844378\pi\) |
−0.996491 | + | 0.0836985i | \(0.973327\pi\) | |||||||
\(930\) | −18.6854 | − | 6.80091i | −0.612717 | − | 0.223011i | ||||
\(931\) | −11.6078 | −0.380430 | ||||||||
\(932\) | −22.1384 | − | 8.05771i | −0.725167 | − | 0.263939i | ||||
\(933\) | 10.5772 | − | 18.3202i | 0.346281 | − | 0.599777i | ||||
\(934\) | 1.71298 | − | 9.71479i | 0.0560504 | − | 0.317877i | ||||
\(935\) | −16.7125 | − | 28.9469i | −0.546557 | − | 0.946664i | ||||
\(936\) | 2.66549 | − | 4.61677i | 0.0871243 | − | 0.150904i | ||||
\(937\) | −36.5595 | − | 30.6770i | −1.19435 | − | 1.00218i | −0.999773 | − | 0.0212874i | \(-0.993224\pi\) |
−0.194573 | − | 0.980888i | \(-0.562332\pi\) | |||||||
\(938\) | −3.79177 | − | 21.5042i | −0.123806 | − | 0.702136i | ||||
\(939\) | 1.98861 | + | 3.44438i | 0.0648959 | + | 0.112403i | ||||
\(940\) | −3.23801 | + | 1.17854i | −0.105612 | + | 0.0384397i | ||||
\(941\) | −6.84550 | + | 2.49156i | −0.223157 | + | 0.0812225i | −0.451179 | − | 0.892433i | \(-0.648996\pi\) |
0.228022 | + | 0.973656i | \(0.426774\pi\) | |||||||
\(942\) | 2.26456 | − | 12.8430i | 0.0737834 | − | 0.418447i | ||||
\(943\) | −30.7538 | + | 25.8055i | −1.00148 | + | 0.840342i | ||||
\(944\) | 6.73321 | − | 5.64984i | 0.219147 | − | 0.183887i | ||||
\(945\) | −0.332666 | + | 1.88664i | −0.0108216 | + | 0.0613725i | ||||
\(946\) | −10.8779 | + | 3.95923i | −0.353671 | + | 0.128726i | ||||
\(947\) | −8.92307 | + | 3.24773i | −0.289961 | + | 0.105537i | −0.482905 | − | 0.875673i | \(-0.660418\pi\) |
0.192945 | + | 0.981210i | \(0.438196\pi\) | |||||||
\(948\) | −4.59077 | − | 7.95145i | −0.149101 | − | 0.258251i | ||||
\(949\) | −2.61182 | − | 14.8124i | −0.0847834 | − | 0.480830i | ||||
\(950\) | −0.698396 | − | 0.586024i | −0.0226590 | − | 0.0190131i | ||||
\(951\) | 3.11238 | − | 5.39080i | 0.100926 | − | 0.174809i | ||||
\(952\) | 14.0403 | + | 24.3185i | 0.455048 | + | 0.788166i | ||||
\(953\) | −10.0848 | + | 57.1938i | −0.326679 | + | 1.85269i | 0.170925 | + | 0.985284i | \(0.445325\pi\) |
−0.497604 | + | 0.867405i | \(0.665787\pi\) | |||||||
\(954\) | −3.29800 | + | 5.71231i | −0.106777 | + | 0.184943i | ||||
\(955\) | 18.3625 | + | 6.68341i | 0.594197 | + | 0.216270i | ||||
\(956\) | −6.61503 | −0.213945 | ||||||||
\(957\) | −83.8411 | − | 30.5157i | −2.71020 | − | 0.986431i | ||||
\(958\) | −1.78581 | − | 10.1278i | −0.0576969 | − | 0.327215i | ||||
\(959\) | −77.1324 | + | 64.7217i | −2.49073 | + | 2.08997i | ||||
\(960\) | −1.90337 | − | 1.59711i | −0.0614309 | − | 0.0515466i | ||||
\(961\) | 33.0464 | 1.06601 | ||||||||
\(962\) | −8.57939 | + | 5.54965i | −0.276611 | + | 0.178928i | ||||
\(963\) | 27.2637 | 0.878560 | ||||||||
\(964\) | 18.9715 | + | 15.9189i | 0.611029 | + | 0.512715i | ||||
\(965\) | −10.7556 | + | 9.02498i | −0.346234 | + | 0.290525i | ||||
\(966\) | −10.4635 | − | 59.3415i | −0.336658 | − | 1.90928i | ||||
\(967\) | −33.9993 | − | 12.3747i | −1.09334 | − | 0.397944i | −0.268484 | − | 0.963284i | \(-0.586523\pi\) |
−0.824858 | + | 0.565340i | \(0.808745\pi\) | |||||||
\(968\) | 16.9580 | 0.545049 | ||||||||
\(969\) | 13.4561 | + | 4.89763i | 0.432273 | + | 0.157335i | ||||
\(970\) | 4.75971 | − | 8.24405i | 0.152825 | − | 0.264701i | ||||
\(971\) | −5.99116 | + | 33.9776i | −0.192266 | + | 1.09039i | 0.723994 | + | 0.689806i | \(0.242304\pi\) |
−0.916259 | + | 0.400585i | \(0.868807\pi\) | |||||||
\(972\) | −11.1436 | − | 19.3012i | −0.357430 | − | 0.619088i | ||||
\(973\) | −4.76599 | + | 8.25494i | −0.152791 | + | 0.264641i | ||||
\(974\) | 14.8328 | + | 12.4462i | 0.475273 | + | 0.398801i | ||||
\(975\) | 0.724765 | + | 4.11035i | 0.0232111 | + | 0.131637i | ||||
\(976\) | −2.62163 | − | 4.54080i | −0.0839164 | − | 0.145347i | ||||
\(977\) | 14.5946 | − | 5.31199i | 0.466922 | − | 0.169946i | −0.0978358 | − | 0.995203i | \(-0.531192\pi\) |
0.564757 | + | 0.825257i | \(0.308970\pi\) | |||||||
\(978\) | 3.31993 | − | 1.20836i | 0.106160 | − | 0.0386390i | ||||
\(979\) | −5.58117 | + | 31.6524i | −0.178375 | + | 1.01161i | ||||
\(980\) | 9.75339 | − | 8.18407i | 0.311561 | − | 0.261431i | ||||
\(981\) | 4.69291 | − | 3.93782i | 0.149833 | − | 0.125725i | ||||
\(982\) | −3.77323 | + | 21.3991i | −0.120409 | + | 0.682872i | ||||
\(983\) | 34.1643 | − | 12.4348i | 1.08967 | − | 0.396608i | 0.266172 | − | 0.963925i | \(-0.414241\pi\) |
0.823499 | + | 0.567318i | \(0.192019\pi\) | |||||||
\(984\) | −17.1691 | + | 6.24904i | −0.547331 | + | 0.199212i | ||||
\(985\) | 7.16383 | + | 12.4081i | 0.228259 | + | 0.395356i | ||||
\(986\) | −7.45484 | − | 42.2785i | −0.237411 | − | 1.34642i | ||||
\(987\) | −29.1341 | − | 24.4464i | −0.927348 | − | 0.778138i | ||||
\(988\) | −0.765732 | + | 1.32629i | −0.0243612 | + | 0.0421948i | ||||
\(989\) | 5.97624 | + | 10.3511i | 0.190033 | + | 0.329147i | ||||
\(990\) | −2.91388 | + | 16.5254i | −0.0926092 | + | 0.525213i | ||||
\(991\) | 5.99282 | − | 10.3799i | 0.190368 | − | 0.329727i | −0.755004 | − | 0.655720i | \(-0.772365\pi\) |
0.945372 | + | 0.325993i | \(0.105699\pi\) | |||||||
\(992\) | 7.52026 | + | 2.73715i | 0.238769 | + | 0.0869047i | ||||
\(993\) | −68.7264 | −2.18097 | ||||||||
\(994\) | −33.7205 | − | 12.2733i | −1.06955 | − | 0.389284i | ||||
\(995\) | 0.0152501 | + | 0.0864874i | 0.000483459 | + | 0.00274183i | ||||
\(996\) | 33.3041 | − | 27.9455i | 1.05528 | − | 0.885487i | ||||
\(997\) | 9.06740 | + | 7.60845i | 0.287167 | + | 0.240962i | 0.774979 | − | 0.631987i | \(-0.217760\pi\) |
−0.487812 | + | 0.872949i | \(0.662205\pi\) | |||||||
\(998\) | −14.3986 | −0.455779 | ||||||||
\(999\) | −0.132591 | − | 2.61997i | −0.00419500 | − | 0.0828923i |
(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 | 370.2.o.a.71.1 | ✓ | 18 | |
37.12 | even | 9 | inner | 370.2.o.a.271.1 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.a.71.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.a.271.1 | yes | 18 | 37.12 | even | 9 | inner |