Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.6 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.6 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25283 | + | 0.723320i | −0.885883 | + | 0.511465i | −0.872594 | − | 0.488447i | \(-0.837564\pi\) |
−0.0132894 | + | 0.999912i | \(0.504230\pi\) | |||||||
\(3\) | −0.212077 | − | 0.791482i | −0.122443 | − | 0.456962i | 0.877293 | − | 0.479955i | \(-0.159347\pi\) |
−0.999736 | + | 0.0229929i | \(0.992680\pi\) | |||||||
\(4\) | 0.0463849 | − | 0.0803411i | 0.0231925 | − | 0.0401705i | ||||
\(5\) | −2.18370 | − | 0.481096i | −0.976580 | − | 0.215153i | ||||
\(6\) | 0.838191 | + | 0.838191i | 0.342190 | + | 0.342190i | ||||
\(7\) | 0.425785 | + | 1.58905i | 0.160932 | + | 0.600605i | 0.998524 | + | 0.0543096i | \(0.0172958\pi\) |
−0.837592 | + | 0.546296i | \(0.816038\pi\) | |||||||
\(8\) | − | 2.75908i | − | 0.975481i | ||||||
\(9\) | 2.01661 | − | 1.16429i | 0.672203 | − | 0.388097i | ||||
\(10\) | 3.08379 | − | 0.976784i | 0.975179 | − | 0.308886i | ||||
\(11\) | − | 4.76900i | − | 1.43791i | −0.695059 | − | 0.718953i | \(-0.744622\pi\) | ||
0.695059 | − | 0.718953i | \(-0.255378\pi\) | |||||||
\(12\) | −0.0734257 | − | 0.0196744i | −0.0211962 | − | 0.00567950i | ||||
\(13\) | −5.02850 | − | 2.90320i | −1.39465 | − | 0.805204i | −0.400828 | − | 0.916153i | \(-0.631278\pi\) |
−0.993826 | + | 0.110949i | \(0.964611\pi\) | |||||||
\(14\) | −1.68283 | − | 1.68283i | −0.449755 | − | 0.449755i | ||||
\(15\) | 0.0823336 | + | 1.83039i | 0.0212585 | + | 0.472604i | ||||
\(16\) | 2.08847 | + | 3.61733i | 0.522117 | + | 0.904333i | ||||
\(17\) | −0.725557 | − | 1.25670i | −0.175973 | − | 0.304795i | 0.764524 | − | 0.644595i | \(-0.222974\pi\) |
−0.940498 | + | 0.339800i | \(0.889641\pi\) | |||||||
\(18\) | −1.68431 | + | 2.91731i | −0.396995 | + | 0.687616i | ||||
\(19\) | −0.563197 | − | 2.10188i | −0.129206 | − | 0.482204i | 0.870748 | − | 0.491729i | \(-0.163635\pi\) |
−0.999955 | + | 0.00952470i | \(0.996968\pi\) | |||||||
\(20\) | −0.139943 | + | 0.153125i | −0.0312921 | + | 0.0342398i | ||||
\(21\) | 1.16741 | − | 0.674003i | 0.254749 | − | 0.147079i | ||||
\(22\) | 3.44951 | + | 5.97473i | 0.735438 | + | 1.27382i | ||||
\(23\) | − | 4.09430i | − | 0.853720i | −0.904318 | − | 0.426860i | \(-0.859620\pi\) | ||
0.904318 | − | 0.426860i | \(-0.140380\pi\) | |||||||
\(24\) | −2.18376 | + | 0.585137i | −0.445758 | + | 0.119441i | ||||
\(25\) | 4.53709 | + | 2.10114i | 0.907419 | + | 0.420228i | ||||
\(26\) | 8.39979 | 1.64733 | ||||||||
\(27\) | −3.08741 | − | 3.08741i | −0.594172 | − | 0.594172i | ||||
\(28\) | 0.147416 | + | 0.0395000i | 0.0278590 | + | 0.00746480i | ||||
\(29\) | 2.95018 | + | 2.95018i | 0.547834 | + | 0.547834i | 0.925814 | − | 0.377980i | \(-0.123381\pi\) |
−0.377980 | + | 0.925814i | \(0.623381\pi\) | |||||||
\(30\) | −1.42711 | − | 2.23361i | −0.260553 | − | 0.407799i | ||||
\(31\) | −1.46743 | + | 1.46743i | −0.263557 | + | 0.263557i | −0.826498 | − | 0.562940i | \(-0.809670\pi\) |
0.562940 | + | 0.826498i | \(0.309670\pi\) | |||||||
\(32\) | −0.454116 | − | 0.262184i | −0.0802772 | − | 0.0463481i | ||||
\(33\) | −3.77458 | + | 1.01139i | −0.657069 | + | 0.176061i | ||||
\(34\) | 1.81799 | + | 1.04962i | 0.311784 | + | 0.180008i | ||||
\(35\) | −0.165301 | − | 3.67486i | −0.0279409 | − | 0.621164i | ||||
\(36\) | − | 0.216022i | − | 0.0360037i | ||||||
\(37\) | −6.02617 | + | 0.827803i | −0.990696 | + | 0.136090i | ||||
\(38\) | 2.22592 | + | 2.22592i | 0.361092 | + | 0.361092i | ||||
\(39\) | −1.23141 | + | 4.59567i | −0.197183 | + | 0.735896i | ||||
\(40\) | −1.32738 | + | 6.02500i | −0.209877 | + | 0.952636i | ||||
\(41\) | 0.369301 | + | 0.213216i | 0.0576751 | + | 0.0332988i | 0.528560 | − | 0.848896i | \(-0.322732\pi\) |
−0.470885 | + | 0.882195i | \(0.656065\pi\) | |||||||
\(42\) | −0.975040 | + | 1.68882i | −0.150452 | + | 0.260590i | ||||
\(43\) | 7.53912i | 1.14971i | 0.818257 | + | 0.574853i | \(0.194941\pi\) | ||||
−0.818257 | + | 0.574853i | \(0.805059\pi\) | |||||||
\(44\) | −0.383146 | − | 0.221210i | −0.0577615 | − | 0.0333486i | ||||
\(45\) | −4.96380 | + | 1.57228i | −0.739960 | + | 0.234381i | ||||
\(46\) | 2.96149 | + | 5.12945i | 0.436648 | + | 0.756296i | ||||
\(47\) | −5.55465 | + | 5.55465i | −0.810228 | + | 0.810228i | −0.984668 | − | 0.174440i | \(-0.944189\pi\) |
0.174440 | + | 0.984668i | \(0.444189\pi\) | |||||||
\(48\) | 2.42014 | − | 2.42014i | 0.349317 | − | 0.349317i | ||||
\(49\) | 3.71838 | − | 2.14681i | 0.531198 | − | 0.306687i | ||||
\(50\) | −7.20399 | + | 0.649407i | −1.01880 | + | 0.0918400i | ||||
\(51\) | −0.840783 | + | 0.840783i | −0.117733 | + | 0.117733i | ||||
\(52\) | −0.466493 | + | 0.269330i | −0.0646909 | + | 0.0373493i | ||||
\(53\) | 2.83749 | − | 10.5896i | 0.389759 | − | 1.45460i | −0.440768 | − | 0.897621i | \(-0.645294\pi\) |
0.830527 | − | 0.556978i | \(-0.188039\pi\) | |||||||
\(54\) | 6.10117 | + | 1.63480i | 0.830264 | + | 0.222469i | ||||
\(55\) | −2.29435 | + | 10.4141i | −0.309369 | + | 1.40423i | ||||
\(56\) | 4.38432 | − | 1.17477i | 0.585879 | − | 0.156986i | ||||
\(57\) | −1.54416 | + | 0.891520i | −0.204529 | + | 0.118085i | ||||
\(58\) | −5.82999 | − | 1.56214i | −0.765515 | − | 0.205119i | ||||
\(59\) | −8.06779 | − | 2.16176i | −1.05034 | − | 0.281437i | −0.307946 | − | 0.951404i | \(-0.599642\pi\) |
−0.742391 | + | 0.669967i | \(0.766308\pi\) | |||||||
\(60\) | 0.150874 | + | 0.0782877i | 0.0194778 | + | 0.0101069i | ||||
\(61\) | −1.52382 | − | 5.68696i | −0.195105 | − | 0.728140i | −0.992240 | − | 0.124339i | \(-0.960319\pi\) |
0.797135 | − | 0.603801i | \(-0.206348\pi\) | |||||||
\(62\) | 0.777013 | − | 2.89985i | 0.0986807 | − | 0.368281i | ||||
\(63\) | 2.70876 | + | 2.70876i | 0.341272 | + | 0.341272i | ||||
\(64\) | −7.59529 | −0.949412 | ||||||||
\(65\) | 9.58401 | + | 8.75892i | 1.18875 | + | 1.08641i | ||||
\(66\) | 3.99733 | − | 3.99733i | 0.492037 | − | 0.492037i | ||||
\(67\) | 8.99317 | − | 2.40971i | 1.09869 | − | 0.294393i | 0.336460 | − | 0.941698i | \(-0.390770\pi\) |
0.762231 | + | 0.647305i | \(0.224104\pi\) | |||||||
\(68\) | −0.134620 | −0.0163250 | ||||||||
\(69\) | −3.24056 | + | 0.868307i | −0.390118 | + | 0.104532i | ||||
\(70\) | 2.86519 | + | 4.48440i | 0.342456 | + | 0.535988i | ||||
\(71\) | −6.20532 | + | 10.7479i | −0.736436 | + | 1.27554i | 0.217654 | + | 0.976026i | \(0.430159\pi\) |
−0.954090 | + | 0.299519i | \(0.903174\pi\) | |||||||
\(72\) | −3.21236 | − | 5.56398i | −0.378581 | − | 0.655721i | ||||
\(73\) | 2.06563 | − | 2.06563i | 0.241763 | − | 0.241763i | −0.575816 | − | 0.817579i | \(-0.695316\pi\) |
0.817579 | + | 0.575816i | \(0.195316\pi\) | |||||||
\(74\) | 6.95099 | − | 5.39595i | 0.808036 | − | 0.627266i | ||||
\(75\) | 0.700801 | − | 4.03663i | 0.0809216 | − | 0.466110i | ||||
\(76\) | −0.194991 | − | 0.0522477i | −0.0223670 | − | 0.00599322i | ||||
\(77\) | 7.57818 | − | 2.03057i | 0.863614 | − | 0.231405i | ||||
\(78\) | −1.78140 | − | 6.64828i | −0.201704 | − | 0.752770i | ||||
\(79\) | −1.30294 | − | 4.86264i | −0.146592 | − | 0.547089i | −0.999679 | − | 0.0253210i | \(-0.991939\pi\) |
0.853087 | − | 0.521768i | \(-0.174727\pi\) | |||||||
\(80\) | −2.82030 | − | 8.90392i | −0.315319 | − | 0.995488i | ||||
\(81\) | 1.70401 | − | 2.95143i | 0.189334 | − | 0.327937i | ||||
\(82\) | −0.616894 | −0.0681246 | ||||||||
\(83\) | −1.04562 | + | 3.90229i | −0.114771 | + | 0.428332i | −0.999270 | − | 0.0382109i | \(-0.987834\pi\) |
0.884498 | + | 0.466543i | \(0.154501\pi\) | |||||||
\(84\) | − | 0.125054i | − | 0.0136445i | ||||||
\(85\) | 0.979804 | + | 3.09332i | 0.106275 | + | 0.335518i | ||||
\(86\) | −5.45320 | − | 9.44522i | −0.588034 | − | 1.01850i | ||||
\(87\) | 1.70935 | − | 2.96068i | 0.183261 | − | 0.317418i | ||||
\(88\) | −13.1580 | −1.40265 | ||||||||
\(89\) | 3.97708 | − | 14.8427i | 0.421569 | − | 1.57332i | −0.349733 | − | 0.936849i | \(-0.613728\pi\) |
0.771302 | − | 0.636469i | \(-0.219606\pi\) | |||||||
\(90\) | 5.08153 | − | 5.56021i | 0.535640 | − | 0.586098i | ||||
\(91\) | 2.47228 | − | 9.22669i | 0.259166 | − | 0.967219i | ||||
\(92\) | −0.328940 | − | 0.189914i | −0.0342944 | − | 0.0197999i | ||||
\(93\) | 1.47265 | + | 0.850234i | 0.152707 | + | 0.0881652i | ||||
\(94\) | 2.94123 | − | 10.9768i | 0.303364 | − | 1.13217i | ||||
\(95\) | 0.218647 | + | 4.86082i | 0.0224327 | + | 0.498710i | ||||
\(96\) | −0.111207 | + | 0.415028i | −0.0113500 | + | 0.0423587i | ||||
\(97\) | 17.9332 | 1.82084 | 0.910418 | − | 0.413689i | \(-0.135760\pi\) | ||||
0.910418 | + | 0.413689i | \(0.135760\pi\) | |||||||
\(98\) | −3.10566 | + | 5.37917i | −0.313719 | + | 0.543378i | ||||
\(99\) | −5.55249 | − | 9.61720i | −0.558046 | − | 0.966565i | ||||
\(100\) | 0.379261 | − | 0.267054i | 0.0379261 | − | 0.0267054i | ||||
\(101\) | 6.87214i | 0.683803i | 0.939736 | + | 0.341902i | \(0.111071\pi\) | ||||
−0.939736 | + | 0.341902i | \(0.888929\pi\) | |||||||
\(102\) | 0.445201 | − | 1.66151i | 0.0440814 | − | 0.164514i | ||||
\(103\) | 12.6979 | 1.25116 | 0.625581 | − | 0.780159i | \(-0.284862\pi\) | ||||
0.625581 | + | 0.780159i | \(0.284862\pi\) | |||||||
\(104\) | −8.01017 | + | 13.8740i | −0.785461 | + | 1.36046i | ||||
\(105\) | −2.87353 | + | 0.910185i | −0.280428 | + | 0.0888250i | ||||
\(106\) | 4.10482 | + | 15.3194i | 0.398696 | + | 1.48795i | ||||
\(107\) | −2.37610 | − | 8.86771i | −0.229706 | − | 0.857274i | −0.980464 | − | 0.196697i | \(-0.936978\pi\) |
0.750759 | − | 0.660577i | \(-0.229688\pi\) | |||||||
\(108\) | −0.391255 | + | 0.104836i | −0.0376485 | + | 0.0100879i | ||||
\(109\) | 7.90182 | + | 2.11729i | 0.756857 | + | 0.202799i | 0.616557 | − | 0.787310i | \(-0.288527\pi\) |
0.140299 | + | 0.990109i | \(0.455193\pi\) | |||||||
\(110\) | −4.65828 | − | 14.7066i | −0.444150 | − | 1.40222i | ||||
\(111\) | 1.93320 | + | 4.59405i | 0.183492 | + | 0.436048i | ||||
\(112\) | −4.85889 | + | 4.85889i | −0.459122 | + | 0.459122i | ||||
\(113\) | 3.70539 | + | 6.41792i | 0.348573 | + | 0.603747i | 0.985996 | − | 0.166767i | \(-0.0533328\pi\) |
−0.637423 | + | 0.770514i | \(0.720000\pi\) | |||||||
\(114\) | 1.28971 | − | 2.23384i | 0.120792 | − | 0.209219i | ||||
\(115\) | −1.96975 | + | 8.94072i | −0.183680 | + | 0.833726i | ||||
\(116\) | 0.373864 | − | 0.100177i | 0.0347124 | − | 0.00930117i | ||||
\(117\) | −13.5207 | −1.24999 | ||||||||
\(118\) | 11.6712 | − | 3.12729i | 1.07442 | − | 0.287890i | ||||
\(119\) | 1.68803 | − | 1.68803i | 0.154742 | − | 0.154742i | ||||
\(120\) | 5.05019 | − | 0.227165i | 0.461017 | − | 0.0207372i | ||||
\(121\) | −11.7433 | −1.06757 | ||||||||
\(122\) | 6.02257 | + | 6.02257i | 0.545258 | + | 0.545258i | ||||
\(123\) | 0.0904365 | − | 0.337514i | 0.00815438 | − | 0.0304326i | ||||
\(124\) | 0.0498281 | + | 0.185961i | 0.00447470 | + | 0.0166998i | ||||
\(125\) | −8.89680 | − | 6.77104i | −0.795754 | − | 0.605620i | ||||
\(126\) | −5.35291 | − | 1.43431i | −0.476875 | − | 0.127778i | ||||
\(127\) | 0.527354 | + | 0.141304i | 0.0467951 | + | 0.0125387i | 0.282141 | − | 0.959373i | \(-0.408956\pi\) |
−0.235346 | + | 0.971912i | \(0.575622\pi\) | |||||||
\(128\) | 10.4238 | − | 6.01820i | 0.921345 | − | 0.531939i | ||||
\(129\) | 5.96708 | − | 1.59887i | 0.525372 | − | 0.140773i | ||||
\(130\) | −18.3426 | − | 4.04111i | −1.60875 | − | 0.354428i | ||||
\(131\) | −15.3752 | − | 4.11977i | −1.34334 | − | 0.359946i | −0.485666 | − | 0.874144i | \(-0.661423\pi\) |
−0.857671 | + | 0.514198i | \(0.828090\pi\) | |||||||
\(132\) | −0.0938269 | + | 0.350167i | −0.00816658 | + | 0.0304781i | ||||
\(133\) | 3.10019 | − | 1.78990i | 0.268821 | − | 0.155204i | ||||
\(134\) | −9.52390 | + | 9.52390i | −0.822740 | + | 0.822740i | ||||
\(135\) | 5.25663 | + | 8.22731i | 0.452419 | + | 0.708094i | ||||
\(136\) | −3.46733 | + | 2.00187i | −0.297322 | + | 0.171659i | ||||
\(137\) | −1.35878 | + | 1.35878i | −0.116088 | + | 0.116088i | −0.762765 | − | 0.646676i | \(-0.776159\pi\) |
0.646676 | + | 0.762765i | \(0.276159\pi\) | |||||||
\(138\) | 3.43180 | − | 3.43180i | 0.292135 | − | 0.292135i | ||||
\(139\) | 8.69989 | + | 15.0687i | 0.737915 | + | 1.27811i | 0.953432 | + | 0.301607i | \(0.0975230\pi\) |
−0.215517 | + | 0.976500i | \(0.569144\pi\) | |||||||
\(140\) | −0.302909 | − | 0.157178i | −0.0256005 | − | 0.0132839i | ||||
\(141\) | 5.57442 | + | 3.21839i | 0.469450 | + | 0.271037i | ||||
\(142\) | − | 17.9537i | − | 1.50664i | ||||||
\(143\) | −13.8454 | + | 23.9809i | −1.15781 | + | 2.00538i | ||||
\(144\) | 8.42324 | + | 4.86316i | 0.701937 | + | 0.405263i | ||||
\(145\) | −5.02299 | − | 7.86163i | −0.417136 | − | 0.652872i | ||||
\(146\) | −1.09376 | + | 4.08198i | −0.0905206 | + | 0.337827i | ||||
\(147\) | −2.48775 | − | 2.48775i | −0.205186 | − | 0.205186i | ||||
\(148\) | −0.213017 | + | 0.522547i | −0.0175099 | + | 0.0429531i | ||||
\(149\) | − | 8.07457i | − | 0.661495i | −0.943719 | − | 0.330747i | \(-0.892699\pi\) | ||
0.943719 | − | 0.330747i | \(-0.107301\pi\) | |||||||
\(150\) | 2.04180 | + | 5.56411i | 0.166712 | + | 0.454308i | ||||
\(151\) | −18.1193 | − | 10.4612i | −1.47453 | − | 0.851320i | −0.474942 | − | 0.880017i | \(-0.657531\pi\) |
−0.999588 | + | 0.0286973i | \(0.990864\pi\) | |||||||
\(152\) | −5.79924 | + | 1.55390i | −0.470381 | + | 0.126038i | ||||
\(153\) | −2.92633 | − | 1.68952i | −0.236580 | − | 0.136589i | ||||
\(154\) | −8.02540 | + | 8.02540i | −0.646706 | + | 0.646706i | ||||
\(155\) | 3.91039 | − | 2.49845i | 0.314090 | − | 0.200680i | ||||
\(156\) | 0.312102 | + | 0.312102i | 0.0249882 | + | 0.0249882i | ||||
\(157\) | 13.3722 | + | 3.58307i | 1.06722 | + | 0.285960i | 0.749349 | − | 0.662175i | \(-0.230366\pi\) |
0.317868 | + | 0.948135i | \(0.397033\pi\) | |||||||
\(158\) | 5.14960 | + | 5.14960i | 0.409680 | + | 0.409680i | ||||
\(159\) | −8.98328 | −0.712420 | ||||||||
\(160\) | 0.865518 | + | 0.791006i | 0.0684252 | + | 0.0625345i | ||||
\(161\) | 6.50605 | − | 1.74329i | 0.512749 | − | 0.137391i | ||||
\(162\) | 4.93018i | 0.387351i | ||||||||
\(163\) | 3.13396 | + | 5.42818i | 0.245471 | + | 0.425168i | 0.962264 | − | 0.272118i | \(-0.0877242\pi\) |
−0.716793 | + | 0.697286i | \(0.754391\pi\) | |||||||
\(164\) | 0.0342600 | − | 0.0197800i | 0.00267526 | − | 0.00154456i | ||||
\(165\) | 8.72912 | − | 0.392649i | 0.679561 | − | 0.0305677i | ||||
\(166\) | −1.51263 | − | 5.64522i | −0.117403 | − | 0.438154i | ||||
\(167\) | −1.56860 | + | 2.71690i | −0.121382 | + | 0.210240i | −0.920313 | − | 0.391183i | \(-0.872066\pi\) |
0.798931 | + | 0.601423i | \(0.205399\pi\) | |||||||
\(168\) | −1.85963 | − | 3.22097i | −0.143473 | − | 0.248503i | ||||
\(169\) | 10.3572 | + | 17.9392i | 0.796707 | + | 1.37994i | ||||
\(170\) | −3.46499 | − | 3.16669i | −0.265752 | − | 0.242874i | ||||
\(171\) | −3.58294 | − | 3.58294i | −0.273994 | − | 0.273994i | ||||
\(172\) | 0.605701 | + | 0.349702i | 0.0461843 | + | 0.0266645i | ||||
\(173\) | 4.95158 | + | 1.32677i | 0.376461 | + | 0.100873i | 0.442088 | − | 0.896972i | \(-0.354238\pi\) |
−0.0656265 | + | 0.997844i | \(0.520905\pi\) | |||||||
\(174\) | 4.94563i | 0.374927i | ||||||||
\(175\) | −1.40699 | + | 8.10431i | −0.106359 | + | 0.612628i | ||||
\(176\) | 17.2510 | − | 9.95989i | 1.30035 | − | 0.750755i | ||||
\(177\) | 6.84398i | 0.514425i | ||||||||
\(178\) | 5.75340 | + | 21.4720i | 0.431236 | + | 1.60939i | ||||
\(179\) | 2.46194 | + | 2.46194i | 0.184014 | + | 0.184014i | 0.793102 | − | 0.609088i | \(-0.208464\pi\) |
−0.609088 | + | 0.793102i | \(0.708464\pi\) | |||||||
\(180\) | −0.103927 | + | 0.471727i | −0.00774629 | + | 0.0351605i | ||||
\(181\) | 5.87198 | − | 10.1706i | 0.436461 | − | 0.755972i | −0.560953 | − | 0.827848i | \(-0.689565\pi\) |
0.997414 | + | 0.0718755i | \(0.0228984\pi\) | |||||||
\(182\) | 3.57651 | + | 13.3477i | 0.265108 | + | 0.989397i | ||||
\(183\) | −4.17796 | + | 2.41215i | −0.308844 | + | 0.178311i | ||||
\(184\) | −11.2965 | −0.832788 | ||||||||
\(185\) | 13.5576 | + | 1.09149i | 0.996775 | + | 0.0802483i | ||||
\(186\) | −2.45997 | −0.180374 | ||||||||
\(187\) | −5.99320 | + | 3.46018i | −0.438266 | + | 0.253033i | ||||
\(188\) | 0.188614 | + | 0.703918i | 0.0137561 | + | 0.0513385i | ||||
\(189\) | 3.59148 | − | 6.22062i | 0.261242 | − | 0.452484i | ||||
\(190\) | −3.78986 | − | 5.93162i | −0.274945 | − | 0.430325i | ||||
\(191\) | 15.0489 | + | 15.0489i | 1.08890 | + | 1.08890i | 0.995642 | + | 0.0932582i | \(0.0297282\pi\) |
0.0932582 | + | 0.995642i | \(0.470272\pi\) | |||||||
\(192\) | 1.61079 | + | 6.01154i | 0.116249 | + | 0.433846i | ||||
\(193\) | − | 12.5994i | − | 0.906924i | −0.891276 | − | 0.453462i | \(-0.850189\pi\) | ||
0.891276 | − | 0.453462i | \(-0.149811\pi\) | |||||||
\(194\) | −22.4672 | + | 12.9714i | −1.61305 | + | 0.931294i | ||||
\(195\) | 4.89998 | − | 9.44314i | 0.350895 | − | 0.676237i | ||||
\(196\) | − | 0.398319i | − | 0.0284513i | ||||||
\(197\) | 5.42726 | + | 1.45423i | 0.386676 | + | 0.103610i | 0.446920 | − | 0.894574i | \(-0.352521\pi\) |
−0.0602434 | + | 0.998184i | \(0.519188\pi\) | |||||||
\(198\) | 13.9126 | + | 8.03246i | 0.988728 | + | 0.570842i | ||||
\(199\) | −11.5832 | − | 11.5832i | −0.821108 | − | 0.821108i | 0.165159 | − | 0.986267i | \(-0.447186\pi\) |
−0.986267 | + | 0.165159i | \(0.947186\pi\) | |||||||
\(200\) | 5.79721 | − | 12.5182i | 0.409924 | − | 0.885170i | ||||
\(201\) | −3.81449 | − | 6.60689i | −0.269053 | − | 0.466014i | ||||
\(202\) | −4.97076 | − | 8.60961i | −0.349741 | − | 0.605770i | ||||
\(203\) | −3.43184 | + | 5.94413i | −0.240868 | + | 0.417196i | ||||
\(204\) | 0.0285497 | + | 0.106549i | 0.00199888 | + | 0.00745992i | ||||
\(205\) | −0.703865 | − | 0.643269i | −0.0491601 | − | 0.0449279i | ||||
\(206\) | −15.9083 | + | 9.18465i | −1.10838 | + | 0.639925i | ||||
\(207\) | −4.76695 | − | 8.25660i | −0.331326 | − | 0.573873i | ||||
\(208\) | − | 24.2530i | − | 1.68164i | ||||||
\(209\) | −10.0238 | + | 2.68588i | −0.693364 | + | 0.185786i | ||||
\(210\) | 2.94168 | − | 3.21879i | 0.202995 | − | 0.222117i | ||||
\(211\) | 17.3906 | 1.19722 | 0.598609 | − | 0.801042i | \(-0.295720\pi\) | ||||
0.598609 | + | 0.801042i | \(0.295720\pi\) | |||||||
\(212\) | −0.719167 | − | 0.719167i | −0.0493926 | − | 0.0493926i | ||||
\(213\) | 9.82280 | + | 2.63201i | 0.673047 | + | 0.180343i | ||||
\(214\) | 9.39103 | + | 9.39103i | 0.641958 | + | 0.641958i | ||||
\(215\) | 3.62704 | − | 16.4632i | 0.247362 | − | 1.12278i | ||||
\(216\) | −8.51839 | + | 8.51839i | −0.579603 | + | 0.579603i | ||||
\(217\) | −2.95662 | − | 1.70701i | −0.200709 | − | 0.115879i | ||||
\(218\) | −11.4311 | + | 3.06295i | −0.774211 | + | 0.207449i | ||||
\(219\) | −2.07298 | − | 1.19683i | −0.140079 | − | 0.0808746i | ||||
\(220\) | 0.730253 | + | 0.667385i | 0.0492337 | + | 0.0449951i | ||||
\(221\) | 8.42576i | 0.566778i | ||||||||
\(222\) | −5.74494 | − | 4.35723i | −0.385575 | − | 0.292438i | ||||
\(223\) | −7.72909 | − | 7.72909i | −0.517578 | − | 0.517578i | 0.399260 | − | 0.916838i | \(-0.369267\pi\) |
−0.916838 | + | 0.399260i | \(0.869267\pi\) | |||||||
\(224\) | 0.223268 | − | 0.833249i | 0.0149177 | − | 0.0556738i | ||||
\(225\) | 11.5959 | − | 1.04531i | 0.773058 | − | 0.0696876i | ||||
\(226\) | −9.28442 | − | 5.36036i | −0.617591 | − | 0.356566i | ||||
\(227\) | −3.31049 | + | 5.73394i | −0.219725 | + | 0.380575i | −0.954724 | − | 0.297493i | \(-0.903849\pi\) |
0.734999 | + | 0.678069i | \(0.237183\pi\) | |||||||
\(228\) | 0.165412i | 0.0109547i | ||||||||
\(229\) | 9.79053 | + | 5.65257i | 0.646977 | + | 0.373532i | 0.787297 | − | 0.616574i | \(-0.211480\pi\) |
−0.140320 | + | 0.990106i | \(0.544813\pi\) | |||||||
\(230\) | −3.99925 | − | 12.6259i | −0.263703 | − | 0.832530i | ||||
\(231\) | −3.21432 | − | 5.56736i | −0.211486 | − | 0.366305i | ||||
\(232\) | 8.13977 | − | 8.13977i | 0.534402 | − | 0.534402i | ||||
\(233\) | 10.6730 | − | 10.6730i | 0.699211 | − | 0.699211i | −0.265029 | − | 0.964240i | \(-0.585382\pi\) |
0.964240 | + | 0.265029i | \(0.0853816\pi\) | |||||||
\(234\) | 16.9391 | − | 9.77979i | 1.10734 | − | 0.639325i | ||||
\(235\) | 14.8020 | − | 9.45736i | 0.965576 | − | 0.616930i | ||||
\(236\) | −0.547902 | + | 0.547902i | −0.0356654 | + | 0.0356654i | ||||
\(237\) | −3.57237 | + | 2.06251i | −0.232050 | + | 0.133974i | ||||
\(238\) | −0.893825 | + | 3.33580i | −0.0579381 | + | 0.216228i | ||||
\(239\) | 17.2821 | + | 4.63073i | 1.11789 | + | 0.299537i | 0.770028 | − | 0.638010i | \(-0.220242\pi\) |
0.347859 | + | 0.937547i | \(0.386909\pi\) | |||||||
\(240\) | −6.44917 | + | 4.12054i | −0.416292 | + | 0.265979i | ||||
\(241\) | −27.1013 | + | 7.26176i | −1.74575 | + | 0.467771i | −0.983710 | − | 0.179764i | \(-0.942467\pi\) |
−0.762036 | + | 0.647535i | \(0.775800\pi\) | |||||||
\(242\) | 14.7124 | − | 8.49418i | 0.945746 | − | 0.546027i | ||||
\(243\) | −15.3498 | − | 4.11297i | −0.984691 | − | 0.263847i | ||||
\(244\) | −0.527578 | − | 0.141364i | −0.0337747 | − | 0.00904991i | ||||
\(245\) | −9.15266 | + | 2.89909i | −0.584742 | + | 0.185216i | ||||
\(246\) | 0.130829 | + | 0.488261i | 0.00834136 | + | 0.0311304i | ||||
\(247\) | −3.27015 | + | 12.2044i | −0.208075 | + | 0.776545i | ||||
\(248\) | 4.04874 | + | 4.04874i | 0.257095 | + | 0.257095i | ||||
\(249\) | 3.31035 | 0.209785 | ||||||||
\(250\) | 16.0438 | + | 2.04770i | 1.01470 | + | 0.129508i | ||||
\(251\) | −1.94654 | + | 1.94654i | −0.122864 | + | 0.122864i | −0.765865 | − | 0.643001i | \(-0.777689\pi\) |
0.643001 | + | 0.765865i | \(0.277689\pi\) | |||||||
\(252\) | 0.343270 | − | 0.0919790i | 0.0216240 | − | 0.00579413i | ||||
\(253\) | −19.5257 | −1.22757 | ||||||||
\(254\) | −0.762893 | + | 0.204416i | −0.0478681 | + | 0.0128262i | ||||
\(255\) | 2.24051 | − | 1.43152i | 0.140306 | − | 0.0896453i | ||||
\(256\) | −1.11088 | + | 1.92410i | −0.0694300 | + | 0.120256i | ||||
\(257\) | −3.13247 | − | 5.42559i | −0.195398 | − | 0.338439i | 0.751633 | − | 0.659582i | \(-0.229266\pi\) |
−0.947031 | + | 0.321142i | \(0.895933\pi\) | |||||||
\(258\) | −6.31923 | + | 6.31923i | −0.393418 | + | 0.393418i | ||||
\(259\) | −3.88128 | − | 9.22343i | −0.241171 | − | 0.573116i | ||||
\(260\) | 1.14825 | − | 0.363708i | 0.0712117 | − | 0.0225562i | ||||
\(261\) | 9.38422 | + | 2.51449i | 0.580869 | + | 0.155643i | ||||
\(262\) | 22.2424 | − | 5.95983i | 1.37414 | − | 0.368200i | ||||
\(263\) | −3.92018 | − | 14.6303i | −0.241728 | − | 0.902143i | −0.975000 | − | 0.222206i | \(-0.928674\pi\) |
0.733271 | − | 0.679936i | \(-0.237993\pi\) | |||||||
\(264\) | 2.79052 | + | 10.4143i | 0.171744 | + | 0.640959i | ||||
\(265\) | −11.2909 | + | 21.7595i | −0.693592 | + | 1.33668i | ||||
\(266\) | −2.58934 | + | 4.48487i | −0.158763 | + | 0.274985i | ||||
\(267\) | −12.5911 | −0.770566 | ||||||||
\(268\) | 0.223549 | − | 0.834296i | 0.0136554 | − | 0.0509627i | ||||
\(269\) | 20.5296i | 1.25171i | 0.779938 | + | 0.625856i | \(0.215250\pi\) | ||||
−0.779938 | + | 0.625856i | \(0.784750\pi\) | |||||||
\(270\) | −12.5366 | − | 6.50517i | −0.762955 | − | 0.395892i | ||||
\(271\) | −6.43197 | − | 11.1405i | −0.390714 | − | 0.676737i | 0.601830 | − | 0.798624i | \(-0.294439\pi\) |
−0.992544 | + | 0.121888i | \(0.961105\pi\) | |||||||
\(272\) | 3.03060 | − | 5.24916i | 0.183757 | − | 0.318277i | ||||
\(273\) | −7.82707 | −0.473716 | ||||||||
\(274\) | 0.719484 | − | 2.68515i | 0.0434656 | − | 0.162216i | ||||
\(275\) | 10.0203 | − | 21.6374i | 0.604248 | − | 1.30478i | ||||
\(276\) | −0.0805527 | + | 0.300627i | −0.00484870 | + | 0.0180956i | ||||
\(277\) | 1.07398 | + | 0.620061i | 0.0645290 | + | 0.0372559i | 0.531917 | − | 0.846796i | \(-0.321472\pi\) |
−0.467388 | + | 0.884052i | \(0.654805\pi\) | |||||||
\(278\) | −21.7989 | − | 12.5856i | −1.30741 | − | 0.754836i | ||||
\(279\) | −1.25072 | + | 4.66773i | −0.0748784 | + | 0.279450i | ||||
\(280\) | −10.1392 | + | 0.456077i | −0.605934 | + | 0.0272558i | ||||
\(281\) | −4.61727 | + | 17.2319i | −0.275443 | + | 1.02797i | 0.680100 | + | 0.733119i | \(0.261936\pi\) |
−0.955544 | + | 0.294850i | \(0.904730\pi\) | |||||||
\(282\) | −9.31171 | −0.554504 | ||||||||
\(283\) | −8.36334 | + | 14.4857i | −0.497149 | + | 0.861087i | −0.999995 | − | 0.00328885i | \(-0.998953\pi\) |
0.502846 | + | 0.864376i | \(0.332286\pi\) | |||||||
\(284\) | 0.575667 | + | 0.997084i | 0.0341595 | + | 0.0591661i | ||||
\(285\) | 3.80089 | − | 1.20392i | 0.225145 | − | 0.0713143i | ||||
\(286\) | − | 40.0586i | − | 2.36871i | ||||||
\(287\) | −0.181569 | + | 0.677623i | −0.0107176 | + | 0.0399988i | ||||
\(288\) | −1.22103 | −0.0719501 | ||||||||
\(289\) | 7.44714 | − | 12.8988i | 0.438067 | − | 0.758754i | ||||
\(290\) | 11.9794 | + | 6.21603i | 0.703455 | + | 0.365018i | ||||
\(291\) | −3.80321 | − | 14.1938i | −0.222948 | − | 0.832054i | ||||
\(292\) | −0.0701407 | − | 0.261769i | −0.00410467 | − | 0.0153188i | ||||
\(293\) | 19.7965 | − | 5.30445i | 1.15652 | − | 0.309889i | 0.370946 | − | 0.928654i | \(-0.379033\pi\) |
0.785576 | + | 0.618765i | \(0.212367\pi\) | |||||||
\(294\) | 4.91616 | + | 1.31728i | 0.286716 | + | 0.0768253i | ||||
\(295\) | 16.5776 | + | 8.60202i | 0.965187 | + | 0.500829i | ||||
\(296\) | 2.28397 | + | 16.6267i | 0.132753 | + | 0.966406i | ||||
\(297\) | −14.7238 | + | 14.7238i | −0.854363 | + | 0.854363i | ||||
\(298\) | 5.84050 | + | 10.1160i | 0.338331 | + | 0.586007i | ||||
\(299\) | −11.8866 | + | 20.5882i | −0.687419 | + | 1.19064i | ||||
\(300\) | −0.291801 | − | 0.243542i | −0.0168471 | − | 0.0140609i | ||||
\(301\) | −11.9801 | + | 3.21005i | −0.690519 | + | 0.185024i | ||||
\(302\) | 30.2672 | 1.74168 | ||||||||
\(303\) | 5.43918 | − | 1.45742i | 0.312472 | − | 0.0837268i | ||||
\(304\) | 6.42697 | − | 6.42697i | 0.368612 | − | 0.368612i | ||||
\(305\) | 0.591584 | + | 13.1517i | 0.0338740 | + | 0.753065i | ||||
\(306\) | 4.88825 | 0.279442 | ||||||||
\(307\) | −4.99397 | − | 4.99397i | −0.285021 | − | 0.285021i | 0.550087 | − | 0.835108i | \(-0.314595\pi\) |
−0.835108 | + | 0.550087i | \(0.814595\pi\) | |||||||
\(308\) | 0.188375 | − | 0.703027i | 0.0107337 | − | 0.0400587i | ||||
\(309\) | −2.69293 | − | 10.0502i | −0.153196 | − | 0.571734i | ||||
\(310\) | −3.09187 | + | 5.95859i | −0.175606 | + | 0.338425i | ||||
\(311\) | 19.0548 | + | 5.10571i | 1.08050 | + | 0.289518i | 0.754800 | − | 0.655955i | \(-0.227734\pi\) |
0.325698 | + | 0.945474i | \(0.394401\pi\) | |||||||
\(312\) | 12.6798 | + | 3.39754i | 0.717853 | + | 0.192348i | ||||
\(313\) | 17.9617 | − | 10.3702i | 1.01525 | − | 0.586156i | 0.102527 | − | 0.994730i | \(-0.467307\pi\) |
0.912725 | + | 0.408574i | \(0.133974\pi\) | |||||||
\(314\) | −19.3448 | + | 5.18341i | −1.09169 | + | 0.292517i | ||||
\(315\) | −4.61194 | − | 7.21829i | −0.259854 | − | 0.406705i | ||||
\(316\) | −0.451106 | − | 0.120874i | −0.0253767 | − | 0.00679967i | ||||
\(317\) | 5.35199 | − | 19.9739i | 0.300597 | − | 1.12185i | −0.636072 | − | 0.771630i | \(-0.719442\pi\) |
0.936669 | − | 0.350215i | \(-0.113892\pi\) | |||||||
\(318\) | 11.2545 | − | 6.49779i | 0.631121 | − | 0.364378i | ||||
\(319\) | 14.0694 | − | 14.0694i | 0.787735 | − | 0.787735i | ||||
\(320\) | 16.5858 | + | 3.65407i | 0.927177 | + | 0.204269i | ||||
\(321\) | −6.51472 | + | 3.76127i | −0.363616 | + | 0.209934i | ||||
\(322\) | −6.89000 | + | 6.89000i | −0.383965 | + | 0.383965i | ||||
\(323\) | −2.23280 | + | 2.23280i | −0.124236 | + | 0.124236i | ||||
\(324\) | −0.158081 | − | 0.273804i | −0.00878226 | − | 0.0152113i | ||||
\(325\) | −16.7147 | − | 23.7377i | −0.927166 | − | 1.31673i | ||||
\(326\) | −7.85262 | − | 4.53371i | −0.434917 | − | 0.251099i | ||||
\(327\) | − | 6.70318i | − | 0.370686i | ||||||
\(328\) | 0.588280 | − | 1.01893i | 0.0324823 | − | 0.0562610i | ||||
\(329\) | −11.1917 | − | 6.46153i | −0.617019 | − | 0.356236i | ||||
\(330\) | −10.6521 | + | 6.80587i | −0.586377 | + | 0.374651i | ||||
\(331\) | 8.47290 | − | 31.6213i | 0.465713 | − | 1.73806i | −0.188802 | − | 0.982015i | \(-0.560460\pi\) |
0.654515 | − | 0.756049i | \(-0.272873\pi\) | |||||||
\(332\) | 0.265014 | + | 0.265014i | 0.0145445 | + | 0.0145445i | ||||
\(333\) | −11.1886 | + | 8.68556i | −0.613133 | + | 0.475966i | ||||
\(334\) | − | 4.53841i | − | 0.248331i | ||||||
\(335\) | −20.7977 | + | 0.935511i | −1.13630 | + | 0.0511125i | ||||
\(336\) | 4.87618 | + | 2.81526i | 0.266018 | + | 0.153585i | ||||
\(337\) | −9.97490 | + | 2.67277i | −0.543368 | + | 0.145595i | −0.520054 | − | 0.854133i | \(-0.674088\pi\) |
−0.0233134 | + | 0.999728i | \(0.507422\pi\) | |||||||
\(338\) | −25.9516 | − | 14.9831i | −1.41158 | − | 0.814975i | ||||
\(339\) | 4.29384 | − | 4.29384i | 0.233209 | − | 0.233209i | ||||
\(340\) | 0.293969 | + | 0.0647650i | 0.0159427 | + | 0.00351237i | ||||
\(341\) | 6.99815 | + | 6.99815i | 0.378971 | + | 0.378971i | ||||
\(342\) | 7.08043 | + | 1.89719i | 0.382866 | + | 0.102589i | ||||
\(343\) | 13.1375 | + | 13.1375i | 0.709358 | + | 0.709358i | ||||
\(344\) | 20.8010 | 1.12152 | ||||||||
\(345\) | 7.49416 | − | 0.337098i | 0.403472 | − | 0.0181488i | ||||
\(346\) | −7.16315 | + | 1.91936i | −0.385093 | + | 0.103185i | ||||
\(347\) | 9.81456i | 0.526873i | 0.964677 | + | 0.263437i | \(0.0848560\pi\) | ||||
−0.964677 | + | 0.263437i | \(0.915144\pi\) | |||||||
\(348\) | −0.158576 | − | 0.274662i | −0.00850057 | − | 0.0147234i | ||||
\(349\) | −11.0564 | + | 6.38340i | −0.591834 | + | 0.341696i | −0.765822 | − | 0.643052i | \(-0.777668\pi\) |
0.173988 | + | 0.984748i | \(0.444335\pi\) | |||||||
\(350\) | −4.09929 | − | 11.1710i | −0.219116 | − | 0.597116i | ||||
\(351\) | 6.56164 | + | 24.4884i | 0.350235 | + | 1.30709i | ||||
\(352\) | −1.25036 | + | 2.16568i | −0.0666442 | + | 0.115431i | ||||
\(353\) | −1.70337 | − | 2.95032i | −0.0906610 | − | 0.157030i | 0.817128 | − | 0.576456i | \(-0.195565\pi\) |
−0.907789 | + | 0.419426i | \(0.862231\pi\) | |||||||
\(354\) | −4.95039 | − | 8.57432i | −0.263110 | − | 0.455720i | ||||
\(355\) | 18.7213 | − | 20.4849i | 0.993626 | − | 1.08723i | ||||
\(356\) | −1.00800 | − | 1.00800i | −0.0534238 | − | 0.0534238i | ||||
\(357\) | −1.69404 | − | 0.978054i | −0.0896581 | − | 0.0517641i | ||||
\(358\) | −4.86517 | − | 1.30362i | −0.257132 | − | 0.0688983i | ||||
\(359\) | 4.52436i | 0.238787i | 0.992847 | + | 0.119393i | \(0.0380949\pi\) | ||||
−0.992847 | + | 0.119393i | \(0.961905\pi\) | |||||||
\(360\) | 4.33803 | + | 13.6955i | 0.228634 | + | 0.721817i | ||||
\(361\) | 12.3538 | − | 7.13246i | 0.650199 | − | 0.375393i | ||||
\(362\) | 16.9893i | 0.892937i | ||||||||
\(363\) | 2.49049 | + | 9.29463i | 0.130717 | + | 0.487841i | ||||
\(364\) | −0.626605 | − | 0.626605i | −0.0328430 | − | 0.0328430i | ||||
\(365\) | −5.50447 | + | 3.51694i | −0.288117 | + | 0.184085i | ||||
\(366\) | 3.48951 | − | 6.04401i | 0.182400 | − | 0.315925i | ||||
\(367\) | −2.79712 | − | 10.4390i | −0.146009 | − | 0.544912i | −0.999708 | − | 0.0241463i | \(-0.992313\pi\) |
0.853700 | − | 0.520766i | \(-0.174353\pi\) | |||||||
\(368\) | 14.8104 | − | 8.55081i | 0.772047 | − | 0.445742i | ||||
\(369\) | 0.992981 | 0.0516925 | ||||||||
\(370\) | −17.7748 | + | 8.43904i | −0.924070 | + | 0.438725i | ||||
\(371\) | 18.0357 | 0.936364 | ||||||||
\(372\) | 0.136617 | − | 0.0788761i | 0.00708328 | − | 0.00408954i | ||||
\(373\) | 5.06699 | + | 18.9102i | 0.262359 | + | 0.979135i | 0.963847 | + | 0.266455i | \(0.0858524\pi\) |
−0.701489 | + | 0.712680i | \(0.747481\pi\) | |||||||
\(374\) | 5.00563 | − | 8.67001i | 0.258835 | − | 0.448316i | ||||
\(375\) | −3.47235 | + | 8.47764i | −0.179311 | + | 0.437784i | ||||
\(376\) | 15.3257 | + | 15.3257i | 0.790362 | + | 0.790362i | ||||
\(377\) | −6.27000 | − | 23.3999i | −0.322921 | − | 1.20516i | ||||
\(378\) | 10.3912i | 0.534463i | ||||||||
\(379\) | −4.24970 | + | 2.45356i | −0.218292 | + | 0.126031i | −0.605159 | − | 0.796104i | \(-0.706891\pi\) |
0.386867 | + | 0.922136i | \(0.373557\pi\) | |||||||
\(380\) | 0.400666 | + | 0.207903i | 0.0205537 | + | 0.0106652i | ||||
\(381\) | − | 0.447359i | − | 0.0229189i | ||||||
\(382\) | −29.7389 | − | 7.96850i | −1.52157 | − | 0.407704i | ||||
\(383\) | −5.61179 | − | 3.23997i | −0.286749 | − | 0.165555i | 0.349726 | − | 0.936852i | \(-0.386275\pi\) |
−0.636475 | + | 0.771298i | \(0.719608\pi\) | |||||||
\(384\) | −6.97395 | − | 6.97395i | −0.355888 | − | 0.355888i | ||||
\(385\) | −17.5254 | + | 0.788317i | −0.893176 | + | 0.0401764i | ||||
\(386\) | 9.11340 | + | 15.7849i | 0.463860 | + | 0.803429i | ||||
\(387\) | 8.77772 | + | 15.2035i | 0.446197 | + | 0.772835i | ||||
\(388\) | 0.831829 | − | 1.44077i | 0.0422297 | − | 0.0731440i | ||||
\(389\) | −2.23101 | − | 8.32624i | −0.113117 | − | 0.422157i | 0.886022 | − | 0.463642i | \(-0.153458\pi\) |
−0.999139 | + | 0.0414853i | \(0.986791\pi\) | |||||||
\(390\) | 0.691585 | + | 15.3749i | 0.0350198 | + | 0.778538i | ||||
\(391\) | −5.14531 | + | 2.97065i | −0.260209 | + | 0.150232i | ||||
\(392\) | −5.92322 | − | 10.2593i | −0.299168 | − | 0.518173i | ||||
\(393\) | 13.0429i | 0.657928i | ||||||||
\(394\) | −7.85130 | + | 2.10375i | −0.395543 | + | 0.105985i | ||||
\(395\) | 0.505834 | + | 11.2454i | 0.0254513 | + | 0.565816i | ||||
\(396\) | −1.03021 | −0.0517699 | ||||||||
\(397\) | 0.770578 | + | 0.770578i | 0.0386742 | + | 0.0386742i | 0.726179 | − | 0.687505i | \(-0.241294\pi\) |
−0.687505 | + | 0.726179i | \(0.741294\pi\) | |||||||
\(398\) | 22.8900 | + | 6.13337i | 1.14737 | + | 0.307438i | ||||
\(399\) | −2.07415 | − | 2.07415i | −0.103837 | − | 0.103837i | ||||
\(400\) | 1.87505 | + | 20.8003i | 0.0937526 | + | 1.04002i | ||||
\(401\) | −17.3804 | + | 17.3804i | −0.867936 | + | 0.867936i | −0.992244 | − | 0.124308i | \(-0.960329\pi\) |
0.124308 | + | 0.992244i | \(0.460329\pi\) | |||||||
\(402\) | 9.55780 | + | 5.51820i | 0.476700 | + | 0.275223i | ||||
\(403\) | 11.6392 | − | 3.11871i | 0.579789 | − | 0.155354i | ||||
\(404\) | 0.552115 | + | 0.318764i | 0.0274687 | + | 0.0158591i | ||||
\(405\) | −5.14097 | + | 5.62525i | −0.255457 | + | 0.279521i | ||||
\(406\) | − | 9.92929i | − | 0.492783i | ||||||
\(407\) | 3.94779 | + | 28.7388i | 0.195685 | + | 1.42453i | ||||
\(408\) | 2.31978 | + | 2.31978i | 0.114846 | + | 0.114846i | ||||
\(409\) | 2.48177 | − | 9.26208i | 0.122715 | − | 0.457980i | −0.877033 | − | 0.480431i | \(-0.840480\pi\) |
0.999748 | + | 0.0224508i | \(0.00714691\pi\) | |||||||
\(410\) | 1.34711 | + | 0.296785i | 0.0665291 | + | 0.0146572i | ||||
\(411\) | 1.36362 | + | 0.787285i | 0.0672623 | + | 0.0388339i | ||||
\(412\) | 0.588991 | − | 1.02016i | 0.0290175 | − | 0.0502598i | ||||
\(413\) | − | 13.7406i | − | 0.676130i | ||||||
\(414\) | 11.9443 | + | 6.89606i | 0.587032 | + | 0.338923i | ||||
\(415\) | 4.16069 | − | 8.01840i | 0.204240 | − | 0.393608i | ||||
\(416\) | 1.52235 | + | 2.63679i | 0.0746393 | + | 0.129279i | ||||
\(417\) | 10.0815 | − | 10.0815i | 0.493695 | − | 0.493695i | ||||
\(418\) | 10.6154 | − | 10.6154i | 0.519216 | − | 0.519216i | ||||
\(419\) | −14.2802 | + | 8.24465i | −0.697631 | + | 0.402778i | −0.806465 | − | 0.591282i | \(-0.798622\pi\) |
0.108833 | + | 0.994060i | \(0.465289\pi\) | |||||||
\(420\) | −0.0601631 | + | 0.273081i | −0.00293566 | + | 0.0133250i | ||||
\(421\) | 0.456713 | − | 0.456713i | 0.0222588 | − | 0.0222588i | −0.695890 | − | 0.718149i | \(-0.744990\pi\) |
0.718149 | + | 0.695890i | \(0.244990\pi\) | |||||||
\(422\) | −21.7874 | + | 12.5790i | −1.06059 | + | 0.612335i | ||||
\(423\) | −4.73433 | + | 17.6688i | −0.230191 | + | 0.859085i | ||||
\(424\) | −29.2176 | − | 7.82884i | −1.41893 | − | 0.380202i | ||||
\(425\) | −0.651414 | − | 7.22626i | −0.0315982 | − | 0.350525i | ||||
\(426\) | −14.2101 | + | 3.80758i | −0.688480 | + | 0.184478i | ||||
\(427\) | 8.38805 | − | 4.84284i | 0.405926 | − | 0.234362i | ||||
\(428\) | −0.822656 | − | 0.220430i | −0.0397646 | − | 0.0106549i | ||||
\(429\) | 21.9167 | + | 5.87257i | 1.05815 | + | 0.283530i | ||||
\(430\) | 7.36410 | + | 23.2490i | 0.355128 | + | 1.12117i | ||||
\(431\) | −3.57129 | − | 13.3283i | −0.172023 | − | 0.641999i | −0.997040 | − | 0.0768905i | \(-0.975501\pi\) |
0.825016 | − | 0.565109i | \(-0.191166\pi\) | |||||||
\(432\) | 4.72022 | − | 17.6161i | 0.227102 | − | 0.847556i | ||||
\(433\) | −16.0407 | − | 16.0407i | −0.770868 | − | 0.770868i | 0.207391 | − | 0.978258i | \(-0.433503\pi\) |
−0.978258 | + | 0.207391i | \(0.933503\pi\) | |||||||
\(434\) | 4.93885 | 0.237073 | ||||||||
\(435\) | −5.15708 | + | 5.64287i | −0.247263 | + | 0.270555i | ||||
\(436\) | 0.536630 | − | 0.536630i | 0.0256999 | − | 0.0256999i | ||||
\(437\) | −8.60572 | + | 2.30589i | −0.411667 | + | 0.110306i | ||||
\(438\) | 3.46278 | 0.165458 | ||||||||
\(439\) | −10.9533 | + | 2.93493i | −0.522774 | + | 0.140077i | −0.510549 | − | 0.859849i | \(-0.670558\pi\) |
−0.0122243 | + | 0.999925i | \(0.503891\pi\) | |||||||
\(440\) | 28.7332 | + | 6.33027i | 1.36980 | + | 0.301784i | ||||
\(441\) | 4.99902 | − | 8.65855i | 0.238048 | − | 0.412312i | ||||
\(442\) | −6.09452 | − | 10.5560i | −0.289887 | − | 0.502099i | ||||
\(443\) | 18.6448 | − | 18.6448i | 0.885840 | − | 0.885840i | −0.108280 | − | 0.994120i | \(-0.534534\pi\) |
0.994120 | + | 0.108280i | \(0.0345344\pi\) | |||||||
\(444\) | 0.458762 | + | 0.0577790i | 0.0217719 | + | 0.00274207i | ||||
\(445\) | −15.8255 | + | 30.4986i | −0.750200 | + | 1.44577i | ||||
\(446\) | 15.2738 | + | 4.09261i | 0.723237 | + | 0.193791i | ||||
\(447\) | −6.39088 | + | 1.71243i | −0.302278 | + | 0.0809952i | ||||
\(448\) | −3.23396 | − | 12.0693i | −0.152790 | − | 0.570222i | ||||
\(449\) | −9.44296 | − | 35.2416i | −0.445641 | − | 1.66315i | −0.714239 | − | 0.699902i | \(-0.753227\pi\) |
0.268598 | − | 0.963252i | \(-0.413440\pi\) | |||||||
\(450\) | −13.7715 | + | 9.69713i | −0.649197 | + | 0.457127i | ||||
\(451\) | 1.01683 | − | 1.76120i | 0.0478805 | − | 0.0829314i | ||||
\(452\) | 0.687496 | 0.0323371 | ||||||||
\(453\) | −4.43716 | + | 16.5597i | −0.208476 | + | 0.778043i | ||||
\(454\) | − | 9.57819i | − | 0.449527i | ||||||
\(455\) | −9.83765 | + | 18.9589i | −0.461196 | + | 0.888807i | ||||
\(456\) | 2.45977 | + | 4.26045i | 0.115189 | + | 0.199514i | ||||
\(457\) | −20.6281 | + | 35.7289i | −0.964941 | + | 1.67133i | −0.255168 | + | 0.966897i | \(0.582131\pi\) |
−0.709773 | + | 0.704430i | \(0.751203\pi\) | |||||||
\(458\) | −16.3545 | −0.764194 | ||||||||
\(459\) | −1.63986 | + | 6.12004i | −0.0765420 | + | 0.285659i | ||||
\(460\) | 0.626940 | + | 0.572967i | 0.0292312 | + | 0.0267147i | ||||
\(461\) | 7.84179 | − | 29.2660i | 0.365229 | − | 1.36305i | −0.501882 | − | 0.864936i | \(-0.667359\pi\) |
0.867111 | − | 0.498115i | \(-0.165974\pi\) | |||||||
\(462\) | 8.05397 | + | 4.64996i | 0.374705 | + | 0.216336i | ||||
\(463\) | 3.67480 | + | 2.12165i | 0.170783 | + | 0.0986013i | 0.582955 | − | 0.812505i | \(-0.301896\pi\) |
−0.412172 | + | 0.911106i | \(0.635230\pi\) | |||||||
\(464\) | −4.51042 | + | 16.8331i | −0.209391 | + | 0.781458i | ||||
\(465\) | −2.80678 | − | 2.56514i | −0.130161 | − | 0.118956i | ||||
\(466\) | −5.65143 | + | 21.0914i | −0.261797 | + | 0.977041i | ||||
\(467\) | 9.79517 | 0.453266 | 0.226633 | − | 0.973980i | \(-0.427228\pi\) | ||||
0.226633 | + | 0.973980i | \(0.427228\pi\) | |||||||
\(468\) | −0.627156 | + | 1.08627i | −0.0289903 | + | 0.0502127i | ||||
\(469\) | 7.65832 | + | 13.2646i | 0.353628 | + | 0.612502i | ||||
\(470\) | −11.7037 | + | 22.5550i | −0.539849 | + | 1.04039i | ||||
\(471\) | − | 11.3437i | − | 0.522692i | ||||||
\(472\) | −5.96446 | + | 22.2597i | −0.274537 | + | 1.02458i | ||||
\(473\) | 35.9540 | 1.65317 | ||||||||
\(474\) | 2.98371 | − | 5.16793i | 0.137046 | − | 0.237371i | ||||
\(475\) | 1.86106 | − | 10.7198i | 0.0853915 | − | 0.491857i | ||||
\(476\) | −0.0573190 | − | 0.213917i | −0.00262721 | − | 0.00980489i | ||||
\(477\) | −6.60731 | − | 24.6588i | −0.302528 | − | 1.12905i | ||||
\(478\) | −25.0010 | + | 6.69901i | −1.14352 | + | 0.306405i | ||||
\(479\) | 29.0918 | + | 7.79512i | 1.32924 | + | 0.356168i | 0.852431 | − | 0.522840i | \(-0.175127\pi\) |
0.476807 | + | 0.879008i | \(0.341794\pi\) | |||||||
\(480\) | 0.442510 | − | 0.852797i | 0.0201977 | − | 0.0389247i | ||||
\(481\) | 32.7059 | + | 13.3326i | 1.49126 | + | 0.607914i | ||||
\(482\) | 28.7006 | − | 28.7006i | 1.30728 | − | 1.30728i | ||||
\(483\) | −2.75957 | − | 4.77971i | −0.125565 | − | 0.217484i | ||||
\(484\) | −0.544713 | + | 0.943471i | −0.0247597 | + | 0.0428850i | ||||
\(485\) | −39.1606 | − | 8.62757i | −1.77819 | − | 0.391758i | ||||
\(486\) | 22.2057 | − | 5.94999i | 1.00727 | − | 0.269897i | ||||
\(487\) | −8.80800 | −0.399129 | −0.199564 | − | 0.979885i | \(-0.563953\pi\) | ||||
−0.199564 | + | 0.979885i | \(0.563953\pi\) | |||||||
\(488\) | −15.6908 | + | 4.20433i | −0.710287 | + | 0.190321i | ||||
\(489\) | 3.63166 | − | 3.63166i | 0.164230 | − | 0.164230i | ||||
\(490\) | 9.36974 | − | 10.2524i | 0.423282 | − | 0.463155i | ||||
\(491\) | −37.2665 | −1.68181 | −0.840907 | − | 0.541179i | \(-0.817978\pi\) | ||||
−0.840907 | + | 0.541179i | \(0.817978\pi\) | |||||||
\(492\) | −0.0229213 | − | 0.0229213i | −0.00103337 | − | 0.00103337i | ||||
\(493\) | 1.56697 | − | 5.84801i | 0.0705728 | − | 0.263381i | ||||
\(494\) | −4.73073 | − | 17.6553i | −0.212846 | − | 0.794351i | ||||
\(495\) | 7.49818 | + | 23.6724i | 0.337018 | + | 1.06399i | ||||
\(496\) | −8.37284 | − | 2.24349i | −0.375951 | − | 0.100736i | ||||
\(497\) | −19.7212 | − | 5.28427i | −0.884615 | − | 0.237032i | ||||
\(498\) | −4.14729 | + | 2.39444i | −0.185845 | + | 0.107297i | ||||
\(499\) | −3.52008 | + | 0.943201i | −0.157580 | + | 0.0422235i | −0.336747 | − | 0.941595i | \(-0.609327\pi\) |
0.179166 | + | 0.983819i | \(0.442660\pi\) | |||||||
\(500\) | −0.956670 | + | 0.400704i | −0.0427836 | + | 0.0179200i | ||||
\(501\) | 2.48305 | + | 0.665330i | 0.110934 | + | 0.0297248i | ||||
\(502\) | 1.03071 | − | 3.84664i | 0.0460026 | − | 0.171684i | ||||
\(503\) | −21.1433 | + | 12.2071i | −0.942732 | + | 0.544287i | −0.890816 | − | 0.454365i | \(-0.849866\pi\) |
−0.0519165 | + | 0.998651i | \(0.516533\pi\) | |||||||
\(504\) | 7.47367 | − | 7.47367i | 0.332904 | − | 0.332904i | ||||
\(505\) | 3.30616 | − | 15.0067i | 0.147122 | − | 0.667789i | ||||
\(506\) | 24.4623 | − | 14.1233i | 1.08748 | − | 0.627859i | ||||
\(507\) | 12.0020 | − | 12.0020i | 0.533029 | − | 0.533029i | ||||
\(508\) | 0.0358138 | − | 0.0358138i | 0.00158898 | − | 0.00158898i | ||||
\(509\) | −21.1376 | − | 36.6113i | −0.936906 | − | 1.62277i | −0.771199 | − | 0.636595i | \(-0.780343\pi\) |
−0.165708 | − | 0.986175i | \(-0.552991\pi\) | |||||||
\(510\) | −1.77153 | + | 3.41406i | −0.0784447 | + | 0.151177i | ||||
\(511\) | 4.16190 | + | 2.40287i | 0.184112 | + | 0.106297i | ||||
\(512\) | 20.8587i | 0.921833i | ||||||||
\(513\) | −4.75054 | + | 8.22817i | −0.209741 | + | 0.363283i | ||||
\(514\) | 7.84888 | + | 4.53155i | 0.346199 | + | 0.199878i | ||||
\(515\) | −27.7284 | − | 6.10891i | −1.22186 | − | 0.269191i | ||||
\(516\) | 0.148327 | − | 0.553565i | 0.00652975 | − | 0.0243694i | ||||
\(517\) | 26.4901 | + | 26.4901i | 1.16503 | + | 1.16503i | ||||
\(518\) | 11.5341 | + | 8.74797i | 0.506778 | + | 0.384364i | ||||
\(519\) | − | 4.20046i | − | 0.184380i | ||||||
\(520\) | 24.1665 | − | 26.4430i | 1.05977 | − | 1.15960i | ||||
\(521\) | 20.8093 | + | 12.0143i | 0.911672 | + | 0.526354i | 0.880969 | − | 0.473174i | \(-0.156892\pi\) |
0.0307035 | + | 0.999529i | \(0.490225\pi\) | |||||||
\(522\) | −13.5756 | + | 3.63757i | −0.594188 | + | 0.159212i | ||||
\(523\) | 12.8269 | + | 7.40563i | 0.560882 | + | 0.323825i | 0.753500 | − | 0.657448i | \(-0.228364\pi\) |
−0.192617 | + | 0.981274i | \(0.561698\pi\) | |||||||
\(524\) | −1.04416 | + | 1.04416i | −0.0456145 | + | 0.0456145i | ||||
\(525\) | 6.71281 | − | 0.605129i | 0.292971 | − | 0.0264100i | ||||
\(526\) | 15.4937 | + | 15.4937i | 0.675557 | + | 0.675557i | ||||
\(527\) | 2.90882 | + | 0.779415i | 0.126710 | + | 0.0339518i | ||||
\(528\) | −11.5416 | − | 11.5416i | −0.502285 | − | 0.502285i | ||||
\(529\) | 6.23672 | 0.271162 | ||||||||
\(530\) | −1.59360 | − | 35.4278i | −0.0692214 | − | 1.53889i | ||||
\(531\) | −18.7865 | + | 5.03383i | −0.815265 | + | 0.218449i | ||||
\(532\) | − | 0.332097i | − | 0.0143982i | ||||||
\(533\) | −1.23802 | − | 2.14431i | −0.0536246 | − | 0.0928805i | ||||
\(534\) | 15.7745 | − | 9.10743i | 0.682631 | − | 0.394117i | ||||
\(535\) | 0.922460 | + | 20.5075i | 0.0398814 | + | 0.886619i | ||||
\(536\) | −6.64859 | − | 24.8129i | −0.287175 | − | 1.07175i | ||||
\(537\) | 1.42646 | − | 2.47071i | 0.0615564 | − | 0.106619i | ||||
\(538\) | −14.8495 | − | 25.7201i | −0.640207 | − | 1.10887i | ||||
\(539\) | −10.2381 | − | 17.7330i | −0.440987 | − | 0.763813i | ||||
\(540\) | 0.904819 | − | 0.0407001i | 0.0389372 | − | 0.00175145i | ||||
\(541\) | 11.8805 | + | 11.8805i | 0.510784 | + | 0.510784i | 0.914767 | − | 0.403983i | \(-0.132374\pi\) |
−0.403983 | + | 0.914767i | \(0.632374\pi\) | |||||||
\(542\) | 16.1163 | + | 9.30474i | 0.692254 | + | 0.399673i | ||||
\(543\) | −9.29514 | − | 2.49062i | −0.398892 | − | 0.106883i | ||||
\(544\) | 0.760918i | 0.0326241i | ||||||||
\(545\) | −16.2366 | − | 8.42505i | −0.695499 | − | 0.360889i | ||||
\(546\) | 9.80597 | − | 5.66148i | 0.419657 | − | 0.242289i | ||||
\(547\) | − | 17.4832i | − | 0.747526i | −0.927524 | − | 0.373763i | \(-0.878067\pi\) | ||
0.927524 | − | 0.373763i | \(-0.121933\pi\) | |||||||
\(548\) | 0.0461389 | + | 0.172193i | 0.00197096 | + | 0.00735571i | ||||
\(549\) | −9.69421 | − | 9.69421i | −0.413739 | − | 0.413739i | ||||
\(550\) | 3.09702 | + | 34.3558i | 0.132057 | + | 1.46494i | ||||
\(551\) | 4.53939 | − | 7.86245i | 0.193384 | − | 0.334952i | ||||
\(552\) | 2.39572 | + | 8.94097i | 0.101969 | + | 0.380553i | ||||
\(553\) | 7.17221 | − | 4.14088i | 0.304993 | − | 0.176088i | ||||
\(554\) | −1.79401 | −0.0762202 | ||||||||
\(555\) | −2.01136 | − | 10.9621i | −0.0853774 | − | 0.465315i | ||||
\(556\) | 1.61418 | 0.0684563 | ||||||||
\(557\) | −27.2299 | + | 15.7212i | −1.15377 | + | 0.666129i | −0.949803 | − | 0.312849i | \(-0.898717\pi\) |
−0.203967 | + | 0.978978i | \(0.565383\pi\) | |||||||
\(558\) | −1.80934 | − | 6.75253i | −0.0765953 | − | 0.285858i | ||||
\(559\) | 21.8876 | − | 37.9105i | 0.925747 | − | 1.60344i | ||||
\(560\) | 12.9479 | − | 8.27276i | 0.547151 | − | 0.349588i | ||||
\(561\) | 4.00969 | + | 4.00969i | 0.169289 | + | 0.169289i | ||||
\(562\) | −6.67954 | − | 24.9284i | −0.281759 | − | 1.05154i | ||||
\(563\) | − | 17.3599i | − | 0.731633i | −0.930687 | − | 0.365816i | \(-0.880790\pi\) | ||
0.930687 | − | 0.365816i | \(-0.119210\pi\) | |||||||
\(564\) | 0.517138 | − | 0.298570i | 0.0217754 | − | 0.0125720i | ||||
\(565\) | −5.00382 | − | 15.7975i | −0.210512 | − | 0.664604i | ||||
\(566\) | − | 24.1975i | − | 1.01710i | ||||||
\(567\) | 5.41552 | + | 1.45108i | 0.227430 | + | 0.0609398i | ||||
\(568\) | 29.6544 | + | 17.1210i | 1.24427 | + | 0.718380i | ||||
\(569\) | 13.2625 | + | 13.2625i | 0.555994 | + | 0.555994i | 0.928165 | − | 0.372170i | \(-0.121386\pi\) |
−0.372170 | + | 0.928165i | \(0.621386\pi\) | |||||||
\(570\) | −3.89103 | + | 4.25757i | −0.162977 | + | 0.178330i | ||||
\(571\) | −13.5109 | − | 23.4016i | −0.565415 | − | 0.979327i | −0.997011 | − | 0.0772604i | \(-0.975383\pi\) |
0.431596 | − | 0.902067i | \(-0.357951\pi\) | |||||||
\(572\) | 1.28443 | + | 2.22470i | 0.0537048 | + | 0.0930195i | ||||
\(573\) | 8.71941 | − | 15.1025i | 0.364259 | − | 0.630914i | ||||
\(574\) | −0.262664 | − | 0.980277i | −0.0109634 | − | 0.0409160i | ||||
\(575\) | 8.60269 | − | 18.5762i | 0.358757 | − | 0.774682i | ||||
\(576\) | −15.3167 | + | 8.84312i | −0.638197 | + | 0.368463i | ||||
\(577\) | −12.6946 | − | 21.9876i | −0.528482 | − | 0.915357i | −0.999449 | − | 0.0332064i | \(-0.989428\pi\) |
0.470967 | − | 0.882151i | \(-0.343905\pi\) | |||||||
\(578\) | 21.5467i | 0.896223i | ||||||||
\(579\) | −9.97220 | + | 2.67204i | −0.414430 | + | 0.111046i | ||||
\(580\) | −0.864602 | + | 0.0388911i | −0.0359007 | + | 0.00161486i | ||||
\(581\) | −6.64615 | −0.275729 | ||||||||
\(582\) | 15.0314 | + | 15.0314i | 0.623072 | + | 0.623072i | ||||
\(583\) | −50.5020 | − | 13.5320i | −2.09158 | − | 0.560436i | ||||
\(584\) | −5.69922 | − | 5.69922i | −0.235836 | − | 0.235836i | ||||
\(585\) | 29.5251 | + | 6.50475i | 1.22071 | + | 0.268938i | ||||
\(586\) | −20.9648 | + | 20.9648i | −0.866046 | + | 0.866046i | ||||
\(587\) | 36.6636 | + | 21.1677i | 1.51327 | + | 0.873686i | 0.999879 | + | 0.0155295i | \(0.00494338\pi\) |
0.513389 | + | 0.858156i | \(0.328390\pi\) | |||||||
\(588\) | −0.315262 | + | 0.0844742i | −0.0130012 | + | 0.00348366i | ||||
\(589\) | 3.91080 | + | 2.25790i | 0.161142 | + | 0.0930352i | ||||
\(590\) | −26.9909 | + | 1.21409i | −1.11120 | + | 0.0499834i | ||||
\(591\) | − | 4.60399i | − | 0.189383i | ||||||
\(592\) | −15.5799 | − | 20.0698i | −0.640330 | − | 0.824864i | ||||
\(593\) | −22.5131 | − | 22.5131i | −0.924503 | − | 0.924503i | 0.0728403 | − | 0.997344i | \(-0.476794\pi\) |
−0.997344 | + | 0.0728403i | \(0.976794\pi\) | |||||||
\(594\) | 7.79637 | − | 29.0965i | 0.319889 | − | 1.19384i | ||||
\(595\) | −4.49826 | + | 2.87405i | −0.184411 | + | 0.117825i | ||||
\(596\) | −0.648720 | − | 0.374539i | −0.0265726 | − | 0.0153417i | ||||
\(597\) | −6.71134 | + | 11.6244i | −0.274677 | + | 0.475754i | ||||
\(598\) | − | 34.3912i | − | 1.40636i | ||||||
\(599\) | −13.9673 | − | 8.06402i | −0.570688 | − | 0.329487i | 0.186736 | − | 0.982410i | \(-0.440209\pi\) |
−0.757424 | + | 0.652923i | \(0.773542\pi\) | |||||||
\(600\) | −11.1374 | − | 1.93356i | −0.454682 | − | 0.0789374i | ||||
\(601\) | 12.0579 | + | 20.8849i | 0.491852 | + | 0.851912i | 0.999956 | − | 0.00938333i | \(-0.00298685\pi\) |
−0.508104 | + | 0.861296i | \(0.669654\pi\) | |||||||
\(602\) | 12.6871 | − | 12.6871i | 0.517086 | − | 0.517086i | ||||
\(603\) | 15.3301 | − | 15.3301i | 0.624290 | − | 0.624290i | ||||
\(604\) | −1.68093 | + | 0.970484i | −0.0683960 | + | 0.0394884i | ||||
\(605\) | 25.6439 | + | 5.64966i | 1.04257 | + | 0.229692i | ||||
\(606\) | −5.76017 | + | 5.76017i | −0.233991 | + | 0.233991i | ||||
\(607\) | 4.09934 | − | 2.36675i | 0.166387 | − | 0.0960635i | −0.414494 | − | 0.910052i | \(-0.636041\pi\) |
0.580881 | + | 0.813988i | \(0.302708\pi\) | |||||||
\(608\) | −0.295323 | + | 1.10216i | −0.0119769 | + | 0.0446984i | ||||
\(609\) | 5.43249 | + | 1.45563i | 0.220136 | + | 0.0589851i | ||||
\(610\) | −10.2541 | − | 16.0489i | −0.415175 | − | 0.649802i | ||||
\(611\) | 44.0578 | − | 11.8053i | 1.78239 | − | 0.477589i | ||||
\(612\) | −0.271475 | + | 0.156736i | −0.0109737 | + | 0.00633568i | ||||
\(613\) | −19.9102 | − | 5.33493i | −0.804167 | − | 0.215476i | −0.166754 | − | 0.985999i | \(-0.553329\pi\) |
−0.637413 | + | 0.770523i | \(0.719995\pi\) | |||||||
\(614\) | 9.86883 | + | 2.64434i | 0.398273 | + | 0.106717i | ||||
\(615\) | −0.359863 | + | 0.693520i | −0.0145111 | + | 0.0279654i | ||||
\(616\) | −5.60249 | − | 20.9088i | −0.225731 | − | 0.842439i | ||||
\(617\) | 3.95109 | − | 14.7457i | 0.159065 | − | 0.593638i | −0.839658 | − | 0.543115i | \(-0.817245\pi\) |
0.998723 | − | 0.0505225i | \(-0.0160887\pi\) | |||||||
\(618\) | 10.6433 | + | 10.6433i | 0.428135 | + | 0.428135i | ||||
\(619\) | 6.80631 | 0.273569 | 0.136784 | − | 0.990601i | \(-0.456323\pi\) | ||||
0.136784 | + | 0.990601i | \(0.456323\pi\) | |||||||
\(620\) | −0.0193445 | − | 0.430055i | −0.000776895 | − | 0.0172714i | ||||
\(621\) | −12.6408 | + | 12.6408i | −0.507256 | + | 0.507256i | ||||
\(622\) | −27.5654 | + | 7.38613i | −1.10527 | + | 0.296157i | ||||
\(623\) | 25.2791 | 1.01279 | ||||||||
\(624\) | −19.1958 | + | 5.14350i | −0.768447 | + | 0.205905i | ||||
\(625\) | 16.1704 | + | 19.0661i | 0.646817 | + | 0.762645i | ||||
\(626\) | −15.0019 | + | 25.9841i | −0.599597 | + | 1.03853i | ||||
\(627\) | 4.25166 | + | 7.36408i | 0.169795 | + | 0.294093i | ||||
\(628\) | 0.908136 | − | 0.908136i | 0.0362386 | − | 0.0362386i | ||||
\(629\) | 5.41263 | + | 6.97248i | 0.215816 | + | 0.278011i | ||||
\(630\) | 10.9991 | + | 5.70736i | 0.438215 | + | 0.227387i | ||||
\(631\) | 24.9840 | + | 6.69444i | 0.994597 | + | 0.266501i | 0.719180 | − | 0.694824i | \(-0.244518\pi\) |
0.275416 | + | 0.961325i | \(0.411184\pi\) | |||||||
\(632\) | −13.4164 | + | 3.59491i | −0.533675 | + | 0.142998i | ||||
\(633\) | −3.68814 | − | 13.7643i | −0.146591 | − | 0.547083i | ||||
\(634\) | 7.74240 | + | 28.8950i | 0.307490 | + | 1.14757i | ||||
\(635\) | −1.08360 | − | 0.562274i | −0.0430015 | − | 0.0223132i | ||||
\(636\) | −0.416689 | + | 0.721726i | −0.0165228 | + | 0.0286183i | ||||
\(637\) | −24.9305 | −0.987783 | ||||||||
\(638\) | −7.44984 | + | 27.8032i | −0.294942 | + | 1.10074i | ||||
\(639\) | 28.8992i | 1.14323i | ||||||||
\(640\) | −25.6578 | + | 8.12708i | −1.01422 | + | 0.321251i | ||||
\(641\) | 17.3223 | + | 30.0031i | 0.684190 | + | 1.18505i | 0.973691 | + | 0.227874i | \(0.0731773\pi\) |
−0.289501 | + | 0.957178i | \(0.593489\pi\) | |||||||
\(642\) | 5.44121 | − | 9.42446i | 0.214748 | − | 0.371954i | ||||
\(643\) | 22.9695 | 0.905827 | 0.452913 | − | 0.891555i | \(-0.350385\pi\) | ||||
0.452913 | + | 0.891555i | \(0.350385\pi\) | |||||||
\(644\) | 0.161725 | − | 0.603566i | 0.00637285 | − | 0.0237838i | ||||
\(645\) | −13.7995 | + | 0.620723i | −0.543356 | + | 0.0244410i | ||||
\(646\) | 1.18228 | − | 4.41235i | 0.0465164 | − | 0.173601i | ||||
\(647\) | 12.3356 | + | 7.12196i | 0.484962 | + | 0.279993i | 0.722482 | − | 0.691389i | \(-0.243001\pi\) |
−0.237520 | + | 0.971383i | \(0.576334\pi\) | |||||||
\(648\) | −8.14323 | − | 4.70149i | −0.319896 | − | 0.184692i | ||||
\(649\) | −10.3094 | + | 38.4753i | −0.404680 | + | 1.51029i | ||||
\(650\) | 38.1106 | + | 17.6491i | 1.49482 | + | 0.692256i | ||||
\(651\) | −0.724034 | + | 2.70213i | −0.0283771 | + | 0.105905i | ||||
\(652\) | 0.581474 | 0.0227723 | ||||||||
\(653\) | 5.21666 | − | 9.03552i | 0.204144 | − | 0.353587i | −0.745716 | − | 0.666264i | \(-0.767892\pi\) |
0.949860 | + | 0.312677i | \(0.101226\pi\) | |||||||
\(654\) | 4.84854 | + | 8.39792i | 0.189593 | + | 0.328385i | ||||
\(655\) | 31.5928 | + | 16.3933i | 1.23443 | + | 0.640539i | ||||
\(656\) | 1.78118i | 0.0695434i | ||||||||
\(657\) | 1.76057 | − | 6.57055i | 0.0686865 | − | 0.256341i | ||||
\(658\) | 18.6950 | 0.728808 | ||||||||
\(659\) | −9.90312 | + | 17.1527i | −0.385771 | + | 0.668174i | −0.991876 | − | 0.127210i | \(-0.959398\pi\) |
0.606105 | + | 0.795385i | \(0.292731\pi\) | |||||||
\(660\) | 0.373354 | − | 0.719520i | 0.0145328 | − | 0.0280073i | ||||
\(661\) | −5.73632 | − | 21.4082i | −0.223117 | − | 0.832683i | −0.983150 | − | 0.182799i | \(-0.941484\pi\) |
0.760033 | − | 0.649884i | \(-0.225183\pi\) | |||||||
\(662\) | 12.2572 | + | 45.7447i | 0.476391 | + | 1.77792i | ||||
\(663\) | 6.66884 | − | 1.78691i | 0.258996 | − | 0.0693978i | ||||
\(664\) | 10.7667 | + | 2.88494i | 0.417830 | + | 0.111957i | ||||
\(665\) | −7.63101 | + | 2.41711i | −0.295918 | + | 0.0937314i | ||||
\(666\) | 7.73498 | − | 18.9745i | 0.299724 | − | 0.735246i | ||||
\(667\) | 12.0789 | − | 12.0789i | 0.467697 | − | 0.467697i | ||||
\(668\) | 0.145519 | + | 0.252047i | 0.00563031 | + | 0.00975198i | ||||
\(669\) | −4.47828 | + | 7.75660i | −0.173140 | + | 0.299888i | ||||
\(670\) | 25.3793 | − | 16.2154i | 0.980486 | − | 0.626457i | ||||
\(671\) | −27.1211 | + | 7.26707i | −1.04700 | + | 0.280542i | ||||
\(672\) | −0.706852 | −0.0272674 | ||||||||
\(673\) | −47.2502 | + | 12.6606i | −1.82136 | + | 0.488032i | −0.996956 | − | 0.0779695i | \(-0.975156\pi\) |
−0.824404 | + | 0.566001i | \(0.808490\pi\) | |||||||
\(674\) | 10.5636 | − | 10.5636i | 0.406893 | − | 0.406893i | ||||
\(675\) | −7.52078 | − | 20.4949i | −0.289475 | − | 0.788850i | ||||
\(676\) | 1.92167 | 0.0739104 | ||||||||
\(677\) | 8.62241 | + | 8.62241i | 0.331386 | + | 0.331386i | 0.853113 | − | 0.521727i | \(-0.174712\pi\) |
−0.521727 | + | 0.853113i | \(0.674712\pi\) | |||||||
\(678\) | −2.27362 | + | 8.48527i | −0.0873179 | + | 0.325875i | ||||
\(679\) | 7.63567 | + | 28.4967i | 0.293030 | + | 1.09360i | ||||
\(680\) | 8.53471 | − | 2.70336i | 0.327291 | − | 0.103669i | ||||
\(681\) | 5.24039 | + | 1.40416i | 0.200812 | + | 0.0538075i | ||||
\(682\) | −13.8294 | − | 3.70557i | −0.529554 | − | 0.141894i | ||||
\(683\) | −13.8168 | + | 7.97715i | −0.528686 | + | 0.305237i | −0.740481 | − | 0.672077i | \(-0.765402\pi\) |
0.211795 | + | 0.977314i | \(0.432069\pi\) | |||||||
\(684\) | −0.454052 | + | 0.121663i | −0.0173611 | + | 0.00465190i | ||||
\(685\) | 3.62087 | − | 2.31347i | 0.138346 | − | 0.0883930i | ||||
\(686\) | −25.9616 | − | 6.95640i | −0.991220 | − | 0.265597i | ||||
\(687\) | 2.39756 | − | 8.94781i | 0.0914726 | − | 0.341380i | ||||
\(688\) | −27.2715 | + | 15.7452i | −1.03972 | + | 0.600280i | ||||
\(689\) | −45.0122 | + | 45.0122i | −1.71483 | + | 1.71483i | ||||
\(690\) | −9.14506 | + | 5.84300i | −0.348147 | + | 0.222439i | ||||
\(691\) | −16.8398 | + | 9.72247i | −0.640617 | + | 0.369860i | −0.784852 | − | 0.619683i | \(-0.787261\pi\) |
0.144235 | + | 0.989543i | \(0.453928\pi\) | |||||||
\(692\) | 0.336273 | − | 0.336273i | 0.0127832 | − | 0.0127832i | ||||
\(693\) | 12.9181 | − | 12.9181i | 0.490716 | − | 0.490716i | ||||
\(694\) | −7.09907 | − | 12.2960i | −0.269477 | − | 0.466748i | ||||
\(695\) | −11.7485 | − | 37.0909i | −0.445646 | − | 1.40694i | ||||
\(696\) | −8.16874 | − | 4.71623i | −0.309635 | − | 0.178768i | ||||
\(697\) | − | 0.618801i | − | 0.0234388i | ||||||
\(698\) | 9.23449 | − | 15.9946i | 0.349531 | − | 0.605405i | ||||
\(699\) | −10.7110 | − | 6.18399i | −0.405127 | − | 0.233900i | ||||
\(700\) | 0.585846 | + | 0.488957i | 0.0221429 | + | 0.0184808i | ||||
\(701\) | −11.0896 | + | 41.3868i | −0.418847 | + | 1.56316i | 0.358155 | + | 0.933662i | \(0.383406\pi\) |
−0.777003 | + | 0.629497i | \(0.783261\pi\) | |||||||
\(702\) | −25.9336 | − | 25.9336i | −0.978799 | − | 0.978799i | ||||
\(703\) | 5.13386 | + | 12.2001i | 0.193627 | + | 0.460134i | ||||
\(704\) | 36.2219i | 1.36517i | ||||||||
\(705\) | −10.6245 | − | 9.70983i | −0.400142 | − | 0.365693i | ||||
\(706\) | 4.26805 | + | 2.46416i | 0.160630 | + | 0.0927399i | ||||
\(707\) | −10.9202 | + | 2.92605i | −0.410696 | + | 0.110046i | ||||
\(708\) | 0.549852 | + | 0.317457i | 0.0206647 | + | 0.0119308i | ||||
\(709\) | 11.6125 | − | 11.6125i | 0.436116 | − | 0.436116i | −0.454586 | − | 0.890703i | \(-0.650213\pi\) |
0.890703 | + | 0.454586i | \(0.150213\pi\) | |||||||
\(710\) | −8.63748 | + | 39.2056i | −0.324159 | + | 1.47136i | ||||
\(711\) | −8.28904 | − | 8.28904i | −0.310863 | − | 0.310863i | ||||
\(712\) | −40.9520 | − | 10.9731i | −1.53474 | − | 0.411233i | ||||
\(713\) | 6.00808 | + | 6.00808i | 0.225004 | + | 0.225004i | ||||
\(714\) | 2.82979 | 0.105902 | ||||||||
\(715\) | 41.7712 | − | 45.7061i | 1.56216 | − | 1.70931i | ||||
\(716\) | 0.311992 | − | 0.0835981i | 0.0116597 | − | 0.00312421i | ||||
\(717\) | − | 14.6606i | − | 0.547509i | ||||||
\(718\) | −3.27256 | − | 5.66824i | −0.122131 | − | 0.211537i | ||||
\(719\) | −28.4138 | + | 16.4047i | −1.05966 | + | 0.611794i | −0.925337 | − | 0.379144i | \(-0.876218\pi\) |
−0.134320 | + | 0.990938i | \(0.542885\pi\) | |||||||
\(720\) | −16.0542 | − | 14.6721i | −0.598304 | − | 0.546796i | ||||
\(721\) | 5.40658 | + | 20.1776i | 0.201352 | + | 0.751454i | ||||
\(722\) | −10.3181 | + | 17.8715i | −0.384000 | + | 0.665108i | ||||
\(723\) | 11.4951 | + | 19.9101i | 0.427508 | + | 0.740465i | ||||
\(724\) | −0.544743 | − | 0.943522i | −0.0202452 | − | 0.0350657i | ||||
\(725\) | 7.18650 | + | 19.5840i | 0.266900 | + | 0.727330i | ||||
\(726\) | −9.84315 | − | 9.84315i | −0.365313 | − | 0.365313i | ||||
\(727\) | 34.1431 | + | 19.7125i | 1.26630 | + | 0.731097i | 0.974285 | − | 0.225318i | \(-0.0723422\pi\) |
0.292011 | + | 0.956415i | \(0.405676\pi\) | |||||||
\(728\) | −25.4571 | − | 6.82122i | −0.943504 | − | 0.252811i | ||||
\(729\) | 2.79732i | 0.103604i | ||||||||
\(730\) | 4.35228 | − | 8.38762i | 0.161085 | − | 0.310440i | ||||
\(731\) | 9.47442 | − | 5.47006i | 0.350424 | − | 0.202317i | ||||
\(732\) | 0.447549i | 0.0165419i | ||||||||
\(733\) | 10.9468 | + | 40.8538i | 0.404328 | + | 1.50897i | 0.805293 | + | 0.592878i | \(0.202008\pi\) |
−0.400965 | + | 0.916093i | \(0.631325\pi\) | |||||||
\(734\) | 11.0551 | + | 11.0551i | 0.408050 | + | 0.408050i | ||||
\(735\) | 4.23565 | + | 6.62934i | 0.156234 | + | 0.244527i | ||||
\(736\) | −1.07346 | + | 1.85929i | −0.0395683 | + | 0.0685343i | ||||
\(737\) | −11.4919 | − | 42.8884i | −0.423310 | − | 1.57981i | ||||
\(738\) | −1.24403 | + | 0.718244i | −0.0457935 | + | 0.0264389i | ||||
\(739\) | 32.4999 | 1.19553 | 0.597764 | − | 0.801672i | \(-0.296056\pi\) | ||||
0.597764 | + | 0.801672i | \(0.296056\pi\) | |||||||
\(740\) | 0.716560 | − | 1.03860i | 0.0263413 | − | 0.0381798i | ||||
\(741\) | 10.3531 | 0.380329 | ||||||||
\(742\) | −22.5956 | + | 13.0456i | −0.829509 | + | 0.478917i | ||||
\(743\) | −2.97059 | − | 11.0864i | −0.108980 | − | 0.406720i | 0.889786 | − | 0.456378i | \(-0.150854\pi\) |
−0.998766 | + | 0.0496580i | \(0.984187\pi\) | |||||||
\(744\) | 2.34586 | − | 4.06315i | 0.0860035 | − | 0.148962i | ||||
\(745\) | −3.88465 | + | 17.6324i | −0.142322 | + | 0.646003i | ||||
\(746\) | −20.0262 | − | 20.0262i | −0.733212 | − | 0.733212i | ||||
\(747\) | 2.43480 | + | 9.08680i | 0.0890847 | + | 0.332469i | ||||
\(748\) | 0.642000i | 0.0234739i | ||||||||
\(749\) | 13.0795 | − | 7.55148i | 0.477916 | − | 0.275925i | ||||
\(750\) | −1.78180 | − | 13.1326i | −0.0650621 | − | 0.479536i | ||||
\(751\) | − | 35.5418i | − | 1.29694i | −0.761240 | − | 0.648470i | \(-0.775409\pi\) | ||
0.761240 | − | 0.648470i | \(-0.224591\pi\) | |||||||
\(752\) | −31.6937 | − | 8.49230i | −1.15575 | − | 0.309682i | ||||
\(753\) | 1.95346 | + | 1.12783i | 0.0711882 | + | 0.0411005i | ||||
\(754\) | 24.7809 | + | 24.7809i | 0.902466 | + | 0.902466i | ||||
\(755\) | 34.5343 | + | 31.5613i | 1.25683 | + | 1.14863i | ||||
\(756\) | −0.333181 | − | 0.577086i | −0.0121177 | − | 0.0209884i | ||||
\(757\) | 18.3273 | + | 31.7438i | 0.666117 | + | 1.15375i | 0.978981 | + | 0.203951i | \(0.0653782\pi\) |
−0.312864 | + | 0.949798i | \(0.601288\pi\) | |||||||
\(758\) | 3.54943 | − | 6.14778i | 0.128921 | − | 0.223298i | ||||
\(759\) | 4.14095 | + | 15.4542i | 0.150307 | + | 0.560953i | ||||
\(760\) | 13.4114 | − | 0.603264i | 0.486482 | − | 0.0218827i | ||||
\(761\) | 18.5429 | − | 10.7058i | 0.672180 | − | 0.388083i | −0.124722 | − | 0.992192i | \(-0.539804\pi\) |
0.796902 | + | 0.604109i | \(0.206471\pi\) | |||||||
\(762\) | 0.323584 | + | 0.560464i | 0.0117222 | + | 0.0203035i | ||||
\(763\) | 13.4579i | 0.487209i | ||||||||
\(764\) | 1.90709 | − | 0.511002i | 0.0689960 | − | 0.0184874i | ||||
\(765\) | 5.57740 | + | 5.09724i | 0.201651 | + | 0.184291i | ||||
\(766\) | 9.37414 | 0.338701 | ||||||||
\(767\) | 34.2929 | + | 34.2929i | 1.23824 | + | 1.23824i | ||||
\(768\) | 1.75848 | + | 0.471184i | 0.0634538 | + | 0.0170024i | ||||
\(769\) | −23.2703 | − | 23.2703i | −0.839147 | − | 0.839147i | 0.149599 | − | 0.988747i | \(-0.452202\pi\) |
−0.988747 | + | 0.149599i | \(0.952202\pi\) | |||||||
\(770\) | 21.3861 | − | 13.6641i | 0.770700 | − | 0.492420i | ||||
\(771\) | −3.62993 | + | 3.62993i | −0.130729 | + | 0.130729i | ||||
\(772\) | −1.01225 | − | 0.584422i | −0.0364316 | − | 0.0210338i | ||||
\(773\) | −33.5748 | + | 8.99634i | −1.20760 | + | 0.323576i | −0.805821 | − | 0.592160i | \(-0.798275\pi\) |
−0.401781 | + | 0.915736i | \(0.631609\pi\) | |||||||
\(774\) | −21.9939 | − | 12.6982i | −0.790556 | − | 0.456428i | ||||
\(775\) | −9.74111 | + | 3.57458i | −0.349911 | + | 0.128403i | ||||
\(776\) | − | 49.4790i | − | 1.77619i | ||||||
\(777\) | −6.47705 | + | 5.02804i | −0.232363 | + | 0.180380i | ||||
\(778\) | 8.81761 | + | 8.81761i | 0.316127 | + | 0.316127i | ||||
\(779\) | 0.240165 | − | 0.896309i | 0.00860481 | − | 0.0321136i | ||||
\(780\) | −0.531387 | − | 0.831689i | −0.0190267 | − | 0.0297792i | ||||
\(781\) | 51.2568 | + | 29.5931i | 1.83411 | + | 1.05893i | ||||
\(782\) | 4.29746 | − | 7.44341i | 0.153677 | − | 0.266176i | ||||
\(783\) | − | 18.2168i | − | 0.651015i | ||||||
\(784\) | 15.5314 | + | 8.96708i | 0.554695 | + | 0.320253i | ||||
\(785\) | −27.4771 | − | 14.2577i | −0.980699 | − | 0.508878i | ||||
\(786\) | −9.43420 | − | 16.3405i | −0.336507 | − | 0.582847i | ||||
\(787\) | −1.73887 | + | 1.73887i | −0.0619839 | + | 0.0619839i | −0.737419 | − | 0.675435i | \(-0.763956\pi\) |
0.675435 | + | 0.737419i | \(0.263956\pi\) | |||||||
\(788\) | 0.368577 | − | 0.368577i | 0.0131300 | − | 0.0131300i | ||||
\(789\) | −10.7482 | + | 6.20550i | −0.382647 | + | 0.220922i | ||||
\(790\) | −8.76773 | − | 13.7226i | −0.311942 | − | 0.488230i | ||||
\(791\) | −8.62071 | + | 8.62071i | −0.306517 | + | 0.306517i | ||||
\(792\) | −26.5346 | + | 15.3198i | −0.942866 | + | 0.544364i | ||||
\(793\) | −8.84790 | + | 33.0208i | −0.314198 | + | 1.17260i | ||||
\(794\) | −1.52278 | − | 0.408027i | −0.0540413 | − | 0.0144803i | ||||
\(795\) | 19.6168 | + | 4.32182i | 0.695736 | + | 0.153279i | ||||
\(796\) | −1.46789 | + | 0.393319i | −0.0520279 | + | 0.0139408i | ||||
\(797\) | 27.1461 | − | 15.6728i | 0.961566 | − | 0.555160i | 0.0649113 | − | 0.997891i | \(-0.479324\pi\) |
0.896655 | + | 0.442731i | \(0.145990\pi\) | |||||||
\(798\) | 4.09883 | + | 1.09828i | 0.145097 | + | 0.0388786i | ||||
\(799\) | 11.0107 | + | 2.95032i | 0.389532 | + | 0.104375i | ||||
\(800\) | −1.50948 | − | 2.14372i | −0.0533683 | − | 0.0757918i | ||||
\(801\) | −9.26094 | − | 34.5623i | −0.327219 | − | 1.22120i | ||||
\(802\) | 9.20305 | − | 34.3462i | 0.324971 | − | 1.21281i | ||||
\(803\) | −9.85096 | − | 9.85096i | −0.347633 | − | 0.347633i | ||||
\(804\) | −0.707740 | −0.0249601 | ||||||||
\(805\) | −15.0460 | + | 0.676790i | −0.530300 | + | 0.0238537i | ||||
\(806\) | −12.3261 | + | 12.3261i | −0.434167 | + | 0.434167i | ||||
\(807\) | 16.2488 | − | 4.35386i | 0.571986 | − | 0.153263i | ||||
\(808\) | 18.9608 | 0.667037 | ||||||||
\(809\) | 0.121396 | − | 0.0325280i | 0.00426806 | − | 0.00114362i | −0.256684 | − | 0.966495i | \(-0.582630\pi\) |
0.260952 | + | 0.965352i | \(0.415963\pi\) | |||||||
\(810\) | 2.37189 | − | 10.7660i | 0.0833397 | − | 0.378280i | ||||
\(811\) | −7.32474 | + | 12.6868i | −0.257207 | + | 0.445495i | −0.965492 | − | 0.260431i | \(-0.916135\pi\) |
0.708286 | + | 0.705926i | \(0.249469\pi\) | |||||||
\(812\) | 0.318372 | + | 0.551436i | 0.0111727 | + | 0.0193516i | ||||
\(813\) | −7.45343 | + | 7.45343i | −0.261403 | + | 0.261403i | ||||
\(814\) | −25.7332 | − | 33.1492i | −0.901950 | − | 1.16188i | ||||
\(815\) | −4.23215 | − | 13.3612i | −0.148246 | − | 0.468024i | ||||
\(816\) | −4.79733 | − | 1.28544i | −0.167940 | − | 0.0449995i | ||||
\(817\) | 15.8463 | − | 4.24601i | 0.554393 | − | 0.148549i | ||||
\(818\) | 3.59022 | + | 13.3989i | 0.125529 | + | 0.468482i | ||||
\(819\) | −5.75691 | − | 21.4851i | −0.201163 | − | 0.750749i | ||||
\(820\) | −0.0843297 | + | 0.0267113i | −0.00294492 | + | 0.000932799i | ||||
\(821\) | −7.54707 | + | 13.0719i | −0.263394 | + | 0.456213i | −0.967142 | − | 0.254238i | \(-0.918175\pi\) |
0.703747 | + | 0.710450i | \(0.251509\pi\) | |||||||
\(822\) | −2.27784 | −0.0794487 | ||||||||
\(823\) | −4.09584 | + | 15.2859i | −0.142772 | + | 0.532832i | 0.857073 | + | 0.515196i | \(0.172281\pi\) |
−0.999844 | + | 0.0176363i | \(0.994386\pi\) | |||||||
\(824\) | − | 35.0345i | − | 1.22048i | ||||||
\(825\) | −19.2507 | − | 3.34212i | −0.670223 | − | 0.116358i | ||||
\(826\) | 9.93885 | + | 17.2146i | 0.345817 | + | 0.598972i | ||||
\(827\) | 11.5992 | − | 20.0903i | 0.403343 | − | 0.698610i | −0.590784 | − | 0.806829i | \(-0.701182\pi\) |
0.994127 | + | 0.108220i | \(0.0345150\pi\) | |||||||
\(828\) | −0.884458 | −0.0307371 | ||||||||
\(829\) | 6.63771 | − | 24.7723i | 0.230537 | − | 0.860377i | −0.749573 | − | 0.661922i | \(-0.769741\pi\) |
0.980110 | − | 0.198455i | \(-0.0635924\pi\) | |||||||
\(830\) | 0.587241 | + | 13.0552i | 0.0203834 | + | 0.453152i | ||||
\(831\) | 0.263001 | − | 0.981534i | 0.00912342 | − | 0.0340491i | ||||
\(832\) | 38.1929 | + | 22.0507i | 1.32410 | + | 0.764470i | ||||
\(833\) | −5.39580 | − | 3.11527i | −0.186953 | − | 0.107938i | ||||
\(834\) | −5.33824 | + | 19.9226i | −0.184848 | + | 0.689863i | ||||
\(835\) | 4.73245 | − | 5.17825i | 0.163773 | − | 0.179201i | ||||
\(836\) | −0.249169 | + | 0.929911i | −0.00861769 | + | 0.0321616i | ||||
\(837\) | 9.06108 | 0.313197 | ||||||||
\(838\) | 11.9270 | − | 20.6583i | 0.412013 | − | 0.713628i | ||||
\(839\) | 28.4964 | + | 49.3573i | 0.983806 | + | 1.70400i | 0.647125 | + | 0.762384i | \(0.275971\pi\) |
0.336681 | + | 0.941619i | \(0.390696\pi\) | |||||||
\(840\) | 2.51127 | + | 7.92828i | 0.0866471 | + | 0.273552i | ||||
\(841\) | − | 11.5929i | − | 0.399755i | ||||||
\(842\) | −0.241833 | + | 0.902532i | −0.00833410 | + | 0.0311033i | ||||
\(843\) | 14.6180 | 0.503469 | ||||||||
\(844\) | 0.806661 | − | 1.39718i | 0.0277664 | − | 0.0480929i | ||||
\(845\) | −13.9865 | − | 44.1566i | −0.481151 | − | 1.51903i | ||||
\(846\) | −6.84888 | − | 25.5604i | −0.235469 | − | 0.878783i | ||||
\(847\) | −5.00013 | − | 18.6607i | −0.171807 | − | 0.641191i | ||||
\(848\) | 44.2322 | − | 11.8520i | 1.51894 | − | 0.406999i | ||||
\(849\) | 13.2389 | + | 3.54735i | 0.454357 | + | 0.121745i | ||||
\(850\) | 6.04301 | + | 8.58208i | 0.207274 | + | 0.294363i | ||||
\(851\) | 3.38927 | + | 24.6729i | 0.116183 | + | 0.845778i | ||||
\(852\) | 0.667089 | − | 0.667089i | 0.0228541 | − | 0.0228541i | ||||
\(853\) | −12.2105 | − | 21.1492i | −0.418079 | − | 0.724135i | 0.577667 | − | 0.816273i | \(-0.303963\pi\) |
−0.995746 | + | 0.0921378i | \(0.970630\pi\) | |||||||
\(854\) | −7.00586 | + | 12.1345i | −0.239735 | + | 0.415234i | ||||
\(855\) | 6.10033 | + | 9.54781i | 0.208627 | + | 0.326528i | ||||
\(856\) | −24.4667 | + | 6.55583i | −0.836254 | + | 0.224074i | ||||
\(857\) | 23.7142 | 0.810060 | 0.405030 | − | 0.914303i | \(-0.367261\pi\) | ||||
0.405030 | + | 0.914303i | \(0.367261\pi\) | |||||||
\(858\) | −31.7056 | + | 8.49550i | −1.08241 | + | 0.290032i | ||||
\(859\) | −1.55152 | + | 1.55152i | −0.0529373 | + | 0.0529373i | −0.733080 | − | 0.680143i | \(-0.761918\pi\) |
0.680143 | + | 0.733080i | \(0.261918\pi\) | |||||||
\(860\) | −1.15443 | − | 1.05504i | −0.0393657 | − | 0.0359767i | ||||
\(861\) | 0.574833 | 0.0195903 | ||||||||
\(862\) | 14.1148 | + | 14.1148i | 0.480753 | + | 0.480753i | ||||
\(863\) | −10.4349 | + | 38.9434i | −0.355207 | + | 1.32565i | 0.525018 | + | 0.851091i | \(0.324059\pi\) |
−0.880224 | + | 0.474558i | \(0.842608\pi\) | |||||||
\(864\) | 0.592573 | + | 2.21151i | 0.0201597 | + | 0.0752372i | ||||
\(865\) | −10.1745 | − | 5.27945i | −0.345942 | − | 0.179507i | ||||
\(866\) | 31.6988 | + | 8.49368i | 1.07717 | + | 0.288627i | ||||
\(867\) | −11.7886 | − | 3.15873i | −0.400360 | − | 0.107276i | ||||
\(868\) | −0.274286 | + | 0.158359i | −0.00930986 | + | 0.00537505i | ||||
\(869\) | −23.1899 | + | 6.21371i | −0.786663 | + | 0.210786i | ||||
\(870\) | 2.37932 | − | 10.7998i | 0.0806666 | − | 0.366146i | ||||
\(871\) | −52.2180 | − | 13.9918i | −1.76934 | − | 0.474094i | ||||
\(872\) | 5.84175 | − | 21.8017i | 0.197827 | − | 0.738299i | ||||
\(873\) | 36.1642 | − | 20.8794i | 1.22397 | − | 0.706660i | ||||
\(874\) | 9.11358 | − | 9.11358i | 0.308271 | − | 0.308271i | ||||
\(875\) | 6.97140 | − | 17.0205i | 0.235676 | − | 0.575397i | ||||
\(876\) | −0.192310 | + | 0.111030i | −0.00649755 | + | 0.00375136i | ||||
\(877\) | 5.84034 | − | 5.84034i | 0.197214 | − | 0.197214i | −0.601590 | − | 0.798805i | \(-0.705466\pi\) |
0.798805 | + | 0.601590i | \(0.205466\pi\) | |||||||
\(878\) | 11.5997 | − | 11.5997i | 0.391472 | − | 0.391472i | ||||
\(879\) | −8.39676 | − | 14.5436i | −0.283216 | − | 0.490544i | ||||
\(880\) | −42.4627 | + | 13.4500i | −1.43142 | + | 0.453400i | ||||
\(881\) | −32.5692 | − | 18.8038i | −1.09728 | − | 0.633517i | −0.161777 | − | 0.986827i | \(-0.551723\pi\) |
−0.935506 | + | 0.353311i | \(0.885056\pi\) | |||||||
\(882\) | 14.4636i | 0.487014i | ||||||||
\(883\) | 11.9594 | − | 20.7143i | 0.402466 | − | 0.697091i | −0.591557 | − | 0.806263i | \(-0.701487\pi\) |
0.994023 | + | 0.109172i | \(0.0348200\pi\) | |||||||
\(884\) | 0.676934 | + | 0.390828i | 0.0227678 | + | 0.0131450i | ||||
\(885\) | 3.29261 | − | 14.9452i | 0.110680 | − | 0.502377i | ||||
\(886\) | −9.87255 | + | 36.8448i | −0.331675 | + | 1.23783i | ||||
\(887\) | −21.5121 | − | 21.5121i | −0.722305 | − | 0.722305i | 0.246769 | − | 0.969074i | \(-0.420631\pi\) |
−0.969074 | + | 0.246769i | \(0.920631\pi\) | |||||||
\(888\) | 12.6753 | − | 5.33386i | 0.425356 | − | 0.178993i | ||||
\(889\) | 0.898159i | 0.0301233i | ||||||||
\(890\) | −2.23362 | − | 49.6563i | −0.0748710 | − | 1.66448i | ||||
\(891\) | −14.0754 | − | 8.12641i | −0.471542 | − | 0.272245i | ||||
\(892\) | −0.979477 | + | 0.262450i | −0.0327953 | + | 0.00878748i | ||||
\(893\) | 14.8035 | + | 8.54683i | 0.495382 | + | 0.286009i | ||||
\(894\) | 6.76804 | − | 6.76804i | 0.226357 | − | 0.226357i | ||||
\(895\) | −4.19172 | − | 6.56058i | −0.140114 | − | 0.219296i | ||||
\(896\) | 14.0015 | + | 14.0015i | 0.467759 | + | 0.467759i | ||||
\(897\) | 18.8160 | + | 5.04174i | 0.628249 | + | 0.168339i | ||||
\(898\) | 37.3214 | + | 37.3214i | 1.24543 | + | 1.24543i | ||||
\(899\) | −8.65834 | −0.288772 | ||||||||
\(900\) | 0.453892 | − | 0.980112i | 0.0151297 | − | 0.0326704i | ||||
\(901\) | −15.3668 | + | 4.11751i | −0.511941 | + | 0.137174i | ||||
\(902\) | 2.94197i | 0.0979567i | ||||||||
\(903\) | 5.08139 | + | 8.80122i | 0.169098 | + | 0.292886i | ||||
\(904\) | 17.7075 | − | 10.2234i | 0.588944 | − | 0.340027i | ||||
\(905\) | −17.7157 | + | 19.3845i | −0.588889 | + | 0.644362i | ||||
\(906\) | −6.41898 | − | 23.9559i | −0.213256 | − | 0.795883i | ||||
\(907\) | −15.3447 | + | 26.5778i | −0.509512 | + | 0.882500i | 0.490428 | + | 0.871482i | \(0.336841\pi\) |
−0.999939 | + | 0.0110183i | \(0.996493\pi\) | |||||||
\(908\) | 0.307114 | + | 0.531937i | 0.0101919 | + | 0.0176530i | ||||
\(909\) | 8.00116 | + | 13.8584i | 0.265382 | + | 0.459655i | ||||
\(910\) | −1.38849 | − | 30.8680i | −0.0460280 | − | 1.02326i | ||||
\(911\) | −2.31494 | − | 2.31494i | −0.0766975 | − | 0.0766975i | 0.667717 | − | 0.744415i | \(-0.267271\pi\) |
−0.744415 | + | 0.667717i | \(0.767271\pi\) | |||||||
\(912\) | −6.44985 | − | 3.72382i | −0.213576 | − | 0.123308i | ||||
\(913\) | 18.6100 | + | 4.98654i | 0.615902 | + | 0.165030i | ||||
\(914\) | − | 59.6829i | − | 1.97413i | ||||||
\(915\) | 10.2839 | − | 3.25740i | 0.339975 | − | 0.107686i | ||||
\(916\) | 0.908266 | − | 0.524388i | 0.0300100 | − | 0.0173263i | ||||
\(917\) | − | 26.1861i | − | 0.864742i | ||||||
\(918\) | −2.37229 | − | 8.85349i | −0.0782971 | − | 0.292209i | ||||
\(919\) | 19.7684 | + | 19.7684i | 0.652098 | + | 0.652098i | 0.953498 | − | 0.301400i | \(-0.0974538\pi\) |
−0.301400 | + | 0.953498i | \(0.597454\pi\) | |||||||
\(920\) | 24.6681 | + | 5.43469i | 0.813284 | + | 0.179177i | ||||
\(921\) | −2.89353 | + | 5.01175i | −0.0953452 | + | 0.165143i | ||||
\(922\) | 11.3443 | + | 42.3373i | 0.373603 | + | 1.39431i | ||||
\(923\) | 62.4069 | − | 36.0306i | 2.05415 | − | 1.18596i | ||||
\(924\) | −0.596383 | −0.0196196 | ||||||||
\(925\) | −29.0806 | − | 8.90601i | −0.956165 | − | 0.292828i | ||||
\(926\) | −6.13852 | −0.201724 | ||||||||
\(927\) | 25.6067 | − | 14.7840i | 0.841034 | − | 0.485571i | ||||
\(928\) | −0.566234 | − | 2.11322i | −0.0185876 | − | 0.0693697i | ||||
\(929\) | −9.70159 | + | 16.8036i | −0.318299 | + | 0.551310i | −0.980133 | − | 0.198340i | \(-0.936445\pi\) |
0.661834 | + | 0.749650i | \(0.269778\pi\) | |||||||
\(930\) | 5.37183 | + | 1.18348i | 0.176149 | + | 0.0388079i | ||||
\(931\) | −6.60652 | − | 6.60652i | −0.216520 | − | 0.216520i | ||||
\(932\) | −0.362414 | − | 1.35255i | −0.0118713 | − | 0.0443041i | ||||
\(933\) | − | 16.1643i | − | 0.529196i | ||||||
\(934\) | −12.2717 | + | 7.08504i | −0.401541 | + | 0.231830i | ||||
\(935\) | 14.7520 | − | 4.67268i | 0.482443 | − | 0.152813i | ||||
\(936\) | 37.3046i | 1.21934i | ||||||||
\(937\) | −19.7492 | − | 5.29178i | −0.645178 | − | 0.172875i | −0.0786302 | − | 0.996904i | \(-0.525055\pi\) |
−0.566548 | + | 0.824029i | \(0.691721\pi\) | |||||||
\(938\) | −19.1891 | − | 11.0788i | −0.626547 | − | 0.361737i | ||||
\(939\) | −12.0171 | − | 12.0171i | −0.392162 | − | 0.392162i | ||||
\(940\) | −0.0732248 | − | 1.62789i | −0.00238833 | − | 0.0530958i | ||||
\(941\) | 0.662999 | + | 1.14835i | 0.0216131 | + | 0.0374351i | 0.876630 | − | 0.481166i | \(-0.159786\pi\) |
−0.855017 | + | 0.518601i | \(0.826453\pi\) | |||||||
\(942\) | 8.20516 | + | 14.2118i | 0.267339 | + | 0.463044i | ||||
\(943\) | 0.872970 | − | 1.51203i | 0.0284278 | − | 0.0492384i | ||||
\(944\) | −9.02952 | − | 33.6986i | −0.293886 | − | 1.09680i | ||||
\(945\) | −10.8354 | + | 11.8561i | −0.352476 | + | 0.385680i | ||||
\(946\) | −45.0442 | + | 26.0063i | −1.46451 | + | 0.845537i | ||||
\(947\) | −7.29012 | − | 12.6269i | −0.236897 | − | 0.410318i | 0.722925 | − | 0.690926i | \(-0.242797\pi\) |
−0.959822 | + | 0.280608i | \(0.909464\pi\) | |||||||
\(948\) | 0.382677i | 0.0124288i | ||||||||
\(949\) | −16.3839 | + | 4.39006i | −0.531845 | + | 0.142507i | ||||
\(950\) | 5.42224 | + | 14.7762i | 0.175921 | + | 0.479402i | ||||
\(951\) | −16.9440 | −0.549447 | ||||||||
\(952\) | −4.65741 | − | 4.65741i | −0.150948 | − | 0.150948i | ||||
\(953\) | 23.9459 | + | 6.41629i | 0.775684 | + | 0.207844i | 0.624881 | − | 0.780720i | \(-0.285147\pi\) |
0.150803 | + | 0.988564i | \(0.451814\pi\) | |||||||
\(954\) | 26.1141 | + | 26.1141i | 0.845474 | + | 0.845474i | ||||
\(955\) | −25.6223 | − | 40.1023i | −0.829119 | − | 1.29768i | ||||
\(956\) | 1.17367 | − | 1.17367i | 0.0379591 | − | 0.0379591i | ||||
\(957\) | −14.1195 | − | 8.15188i | −0.456418 | − | 0.263513i | ||||
\(958\) | −42.0854 | + | 11.2767i | −1.35972 | + | 0.364335i | ||||
\(959\) | −2.73772 | − | 1.58062i | −0.0884057 | − | 0.0510410i | ||||
\(960\) | −0.625348 | − | 13.9023i | −0.0201830 | − | 0.448696i | ||||
\(961\) | 26.6933i | 0.861075i | ||||||||
\(962\) | −50.6186 | + | 6.95337i | −1.63201 | + | 0.224186i | ||||
\(963\) | −15.1162 | − | 15.1162i | −0.487114 | − | 0.487114i | ||||
\(964\) | −0.673673 | + | 2.51418i | −0.0216975 | + | 0.0809763i | ||||
\(965\) | −6.06152 | + | 27.5133i | −0.195127 | + | 0.885685i | ||||
\(966\) | 6.91453 | + | 3.99210i | 0.222471 | + | 0.128444i | ||||
\(967\) | 16.6321 | − | 28.8077i | 0.534853 | − | 0.926393i | −0.464317 | − | 0.885669i | \(-0.653700\pi\) |
0.999170 | − | 0.0407238i | \(-0.0129664\pi\) | |||||||
\(968\) | 32.4007i | 1.04140i | ||||||||
\(969\) | 2.24075 | + | 1.29370i | 0.0719832 | + | 0.0415595i | ||||
\(970\) | 55.3020 | − | 17.5168i | 1.77564 | − | 0.562432i | ||||
\(971\) | −6.82047 | − | 11.8134i | −0.218879 | − | 0.379110i | 0.735586 | − | 0.677431i | \(-0.236907\pi\) |
−0.954466 | + | 0.298321i | \(0.903573\pi\) | |||||||
\(972\) | −1.04244 | + | 1.04244i | −0.0334363 | + | 0.0334363i | ||||
\(973\) | −20.2406 | + | 20.2406i | −0.648884 | + | 0.648884i | ||||
\(974\) | 11.0349 | − | 6.37101i | 0.353581 | − | 0.204140i | ||||
\(975\) | −15.2431 | + | 18.2636i | −0.488171 | + | 0.584904i | ||||
\(976\) | 17.3892 | − | 17.3892i | 0.556614 | − | 0.556614i | ||||
\(977\) | −6.38040 | + | 3.68372i | −0.204127 | + | 0.117853i | −0.598579 | − | 0.801064i | \(-0.704268\pi\) |
0.394452 | + | 0.918917i | \(0.370934\pi\) | |||||||
\(978\) | −1.92299 | + | 7.17671i | −0.0614905 | + | 0.229486i | ||||
\(979\) | −70.7846 | − | 18.9667i | −2.26228 | − | 0.606177i | ||||
\(980\) | −0.191630 | + | 0.869809i | −0.00612138 | + | 0.0277850i | ||||
\(981\) | 18.4000 | − | 4.93027i | 0.587467 | − | 0.157411i | ||||
\(982\) | 46.6885 | − | 26.9556i | 1.48989 | − | 0.860189i | ||||
\(983\) | −37.1014 | − | 9.94128i | −1.18335 | − | 0.317078i | −0.387095 | − | 0.922040i | \(-0.626522\pi\) |
−0.796254 | + | 0.604962i | \(0.793188\pi\) | |||||||
\(984\) | −0.931226 | − | 0.249521i | −0.0296864 | − | 0.00795445i | ||||
\(985\) | −11.1519 | − | 5.78663i | −0.355329 | − | 0.184378i | ||||
\(986\) | 2.26684 | + | 8.45998i | 0.0721910 | + | 0.269421i | ||||
\(987\) | −2.74069 | + | 10.2284i | −0.0872370 | + | 0.325573i | ||||
\(988\) | 0.828826 | + | 0.828826i | 0.0263685 | + | 0.0263685i | ||||
\(989\) | 30.8674 | 0.981527 | ||||||||
\(990\) | −26.5166 | − | 24.2338i | −0.842754 | − | 0.770201i | ||||
\(991\) | −10.4917 | + | 10.4917i | −0.333278 | + | 0.333278i | −0.853830 | − | 0.520552i | \(-0.825726\pi\) |
0.520552 | + | 0.853830i | \(0.325726\pi\) | |||||||
\(992\) | 1.05112 | − | 0.281646i | 0.0333730 | − | 0.00894228i | ||||
\(993\) | −26.8246 | −0.851253 | ||||||||
\(994\) | 28.5294 | − | 7.64444i | 0.904899 | − | 0.242467i | ||||
\(995\) | 19.7215 | + | 30.8668i | 0.625215 | + | 0.978542i | ||||
\(996\) | 0.153550 | − | 0.265957i | 0.00486542 | − | 0.00842716i | ||||
\(997\) | 12.3915 | + | 21.4627i | 0.392443 | + | 0.679731i | 0.992771 | − | 0.120023i | \(-0.0382967\pi\) |
−0.600328 | + | 0.799754i | \(0.704963\pi\) | |||||||
\(998\) | 3.72781 | − | 3.72781i | 0.118002 | − | 0.118002i | ||||
\(999\) | 21.1610 | + | 16.0495i | 0.669505 | + | 0.507783i |
(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 | 185.2.u.a.8.6 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.6 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.12 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.12 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.6 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.12 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.12 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.6 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.6 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.6 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.6 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.6 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.12 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.12 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.12 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.12 | 68 | 185.88 | even | 12 |