Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(13,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.s (of order \(20\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 175.13 |
Dual form | 175.2.s.a.27.4 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.26523 | + | 0.358778i | −1.60176 | + | 0.253694i | −0.892432 | − | 0.451182i | \(-0.851002\pi\) |
−0.709330 | + | 0.704877i | \(0.751002\pi\) | |||||||
\(3\) | 2.54886 | + | 1.29871i | 1.47159 | + | 0.749811i | 0.991827 | − | 0.127588i | \(-0.0407237\pi\) |
0.479760 | + | 0.877400i | \(0.340724\pi\) | |||||||
\(4\) | 3.10045 | − | 1.00740i | 1.55022 | − | 0.503698i | ||||
\(5\) | 0.855724 | + | 2.06585i | 0.382691 | + | 0.923876i | ||||
\(6\) | −6.23972 | − | 2.02741i | −2.54736 | − | 0.827686i | ||||
\(7\) | 2.59686 | − | 0.506256i | 0.981522 | − | 0.191347i | ||||
\(8\) | −2.57481 | + | 1.31193i | −0.910333 | + | 0.463838i | ||||
\(9\) | 3.04670 | + | 4.19343i | 1.01557 | + | 1.39781i | ||||
\(10\) | −2.67959 | − | 4.37262i | −0.847362 | − | 1.38274i | ||||
\(11\) | −4.34248 | − | 3.15500i | −1.30931 | − | 0.951268i | −1.00000 | 0.000305816i | \(-0.999903\pi\) | |
−0.309308 | − | 0.950962i | \(-0.600097\pi\) | |||||||
\(12\) | 9.21093 | + | 1.45887i | 2.65897 | + | 0.421139i | ||||
\(13\) | 0.642576 | − | 4.05707i | 0.178219 | − | 1.12523i | −0.722675 | − | 0.691188i | \(-0.757088\pi\) |
0.900894 | − | 0.434040i | \(-0.142912\pi\) | |||||||
\(14\) | −5.70087 | + | 2.07849i | −1.52362 | + | 0.555499i | ||||
\(15\) | −0.501819 | + | 6.37691i | −0.129569 | + | 1.64651i | ||||
\(16\) | 0.0870603 | − | 0.0632530i | 0.0217651 | − | 0.0158133i | ||||
\(17\) | 0.0505344 | − | 0.0257486i | 0.0122564 | − | 0.00624495i | −0.447852 | − | 0.894108i | \(-0.647811\pi\) |
0.460108 | + | 0.887863i | \(0.347811\pi\) | |||||||
\(18\) | −8.40600 | − | 8.40600i | −1.98131 | − | 1.98131i | ||||
\(19\) | −0.554609 | + | 1.70691i | −0.127236 | + | 0.391592i | −0.994302 | − | 0.106601i | \(-0.966003\pi\) |
0.867066 | + | 0.498194i | \(0.166003\pi\) | |||||||
\(20\) | 4.73426 | + | 5.54301i | 1.05861 | + | 1.23945i | ||||
\(21\) | 7.27654 | + | 2.08220i | 1.58787 | + | 0.454373i | ||||
\(22\) | 10.9687 | + | 5.58882i | 2.33853 | + | 1.19154i | ||||
\(23\) | 0.609663 | + | 3.84926i | 0.127123 | + | 0.802626i | 0.966045 | + | 0.258374i | \(0.0831866\pi\) |
−0.838922 | + | 0.544252i | \(0.816813\pi\) | |||||||
\(24\) | −8.26666 | −1.68743 | ||||||||
\(25\) | −3.53547 | + | 3.53559i | −0.707095 | + | 0.707119i | ||||
\(26\) | 9.42074i | 1.84756i | ||||||||
\(27\) | 0.977065 | + | 6.16895i | 0.188036 | + | 1.18721i | ||||
\(28\) | 7.54144 | − | 4.18569i | 1.42520 | − | 0.791021i | ||||
\(29\) | −2.79213 | + | 0.907218i | −0.518486 | + | 0.168466i | −0.556558 | − | 0.830809i | \(-0.687878\pi\) |
0.0380722 | + | 0.999275i | \(0.487878\pi\) | |||||||
\(30\) | −1.15116 | − | 14.6252i | −0.210171 | − | 2.67019i | ||||
\(31\) | −4.44485 | − | 1.44422i | −0.798318 | − | 0.259389i | −0.118676 | − | 0.992933i | \(-0.537865\pi\) |
−0.679642 | + | 0.733544i | \(0.737865\pi\) | |||||||
\(32\) | 3.91225 | − | 3.91225i | 0.691594 | − | 0.691594i | ||||
\(33\) | −6.97097 | − | 13.6813i | −1.21349 | − | 2.38161i | ||||
\(34\) | −0.105234 | + | 0.0764572i | −0.0180475 | + | 0.0131123i | ||||
\(35\) | 3.26805 | + | 4.93152i | 0.552401 | + | 0.833579i | ||||
\(36\) | 13.6706 | + | 9.93226i | 2.27843 | + | 1.65538i | ||||
\(37\) | 0.725477 | − | 4.58048i | 0.119268 | − | 0.753026i | −0.853474 | − | 0.521135i | \(-0.825509\pi\) |
0.972742 | − | 0.231891i | \(-0.0744913\pi\) | |||||||
\(38\) | 0.643917 | − | 4.06553i | 0.104457 | − | 0.659516i | ||||
\(39\) | 6.90680 | − | 9.50639i | 1.10597 | − | 1.52224i | ||||
\(40\) | −4.91358 | − | 4.19652i | −0.776905 | − | 0.663529i | ||||
\(41\) | −3.01811 | − | 4.15407i | −0.471349 | − | 0.648756i | 0.505465 | − | 0.862847i | \(-0.331321\pi\) |
−0.976814 | + | 0.214091i | \(0.931321\pi\) | |||||||
\(42\) | −17.2301 | − | 2.10601i | −2.65866 | − | 0.324964i | ||||
\(43\) | −1.77629 | − | 1.77629i | −0.270882 | − | 0.270882i | 0.558573 | − | 0.829455i | \(-0.311349\pi\) |
−0.829455 | + | 0.558573i | \(0.811349\pi\) | |||||||
\(44\) | −16.6420 | − | 5.40730i | −2.50887 | − | 0.815182i | ||||
\(45\) | −6.05585 | + | 9.88244i | −0.902753 | + | 1.47319i | ||||
\(46\) | −2.76206 | − | 8.50074i | −0.407243 | − | 1.25337i | ||||
\(47\) | −0.0826938 | + | 0.162296i | −0.0120621 | + | 0.0236733i | −0.896959 | − | 0.442114i | \(-0.854229\pi\) |
0.884897 | + | 0.465787i | \(0.154229\pi\) | |||||||
\(48\) | 0.304052 | − | 0.0481572i | 0.0438862 | − | 0.00695089i | ||||
\(49\) | 6.48741 | − | 2.62936i | 0.926773 | − | 0.375623i | ||||
\(50\) | 6.74018 | − | 9.27739i | 0.953205 | − | 1.31202i | ||||
\(51\) | 0.162245 | 0.0227189 | ||||||||
\(52\) | −2.09480 | − | 13.2260i | −0.290497 | − | 1.83412i | ||||
\(53\) | −3.33166 | + | 6.53875i | −0.457639 | + | 0.898166i | 0.540737 | + | 0.841192i | \(0.318145\pi\) |
−0.998376 | + | 0.0569747i | \(0.981855\pi\) | |||||||
\(54\) | −4.42656 | − | 13.6236i | −0.602378 | − | 1.85393i | ||||
\(55\) | 2.80179 | − | 11.6707i | 0.377793 | − | 1.57368i | ||||
\(56\) | −6.02226 | + | 4.71042i | −0.804759 | + | 0.629457i | ||||
\(57\) | −3.63041 | + | 3.63041i | −0.480859 | + | 0.480859i | ||||
\(58\) | 5.99934 | − | 3.05682i | 0.787752 | − | 0.401380i | ||||
\(59\) | 5.11223 | − | 3.71425i | 0.665555 | − | 0.483554i | −0.202979 | − | 0.979183i | \(-0.565062\pi\) |
0.868534 | + | 0.495629i | \(0.165062\pi\) | |||||||
\(60\) | 4.86821 | + | 20.2768i | 0.628483 | + | 2.61772i | ||||
\(61\) | −2.77203 | + | 3.81537i | −0.354922 | + | 0.488509i | −0.948725 | − | 0.316102i | \(-0.897626\pi\) |
0.593803 | + | 0.804610i | \(0.297626\pi\) | |||||||
\(62\) | 10.5868 | + | 1.67678i | 1.34452 | + | 0.212951i | ||||
\(63\) | 10.0348 | + | 9.34735i | 1.26427 | + | 1.17765i | ||||
\(64\) | −7.58503 | + | 10.4399i | −0.948128 | + | 1.30499i | ||||
\(65\) | 8.93116 | − | 2.14426i | 1.10777 | − | 0.265963i | ||||
\(66\) | 20.6994 | + | 28.4903i | 2.54792 | + | 3.50691i | ||||
\(67\) | 0.144637 | + | 0.283867i | 0.0176703 | + | 0.0346799i | 0.899673 | − | 0.436565i | \(-0.143805\pi\) |
−0.882003 | + | 0.471244i | \(0.843805\pi\) | |||||||
\(68\) | 0.130740 | − | 0.130740i | 0.0158546 | − | 0.0158546i | ||||
\(69\) | −3.44513 | + | 10.6030i | −0.414745 | + | 1.27645i | ||||
\(70\) | −9.17221 | − | 9.99853i | −1.09629 | − | 1.19505i | ||||
\(71\) | −3.23078 | − | 9.94332i | −0.383423 | − | 1.18006i | −0.937618 | − | 0.347668i | \(-0.886974\pi\) |
0.554194 | − | 0.832387i | \(-0.313026\pi\) | |||||||
\(72\) | −13.3462 | − | 6.80021i | −1.57286 | − | 0.801413i | ||||
\(73\) | 15.7935 | − | 2.50145i | 1.84849 | − | 0.292772i | 0.869083 | − | 0.494665i | \(-0.164709\pi\) |
0.979408 | + | 0.201893i | \(0.0647094\pi\) | |||||||
\(74\) | 10.6361i | 1.23643i | ||||||||
\(75\) | −13.6032 | + | 4.42019i | −1.57076 | + | 0.510400i | ||||
\(76\) | 5.85090i | 0.671144i | ||||||||
\(77\) | −12.8741 | − | 5.99469i | −1.46714 | − | 0.683159i | ||||
\(78\) | −12.2348 | + | 24.0122i | −1.38532 | + | 2.71885i | ||||
\(79\) | −6.76190 | + | 2.19708i | −0.760774 | + | 0.247190i | −0.663611 | − | 0.748078i | \(-0.730977\pi\) |
−0.0971630 | + | 0.995268i | \(0.530977\pi\) | |||||||
\(80\) | 0.205171 | + | 0.125726i | 0.0229388 | + | 0.0140566i | ||||
\(81\) | −0.716034 | + | 2.20373i | −0.0795593 | + | 0.244858i | ||||
\(82\) | 8.32710 | + | 8.32710i | 0.919574 | + | 0.919574i | ||||
\(83\) | 2.84011 | + | 5.57403i | 0.311742 | + | 0.611829i | 0.992716 | − | 0.120479i | \(-0.0384431\pi\) |
−0.680974 | + | 0.732308i | \(0.738443\pi\) | |||||||
\(84\) | 24.6581 | − | 0.874609i | 2.69042 | − | 0.0954277i | ||||
\(85\) | 0.0964362 | + | 0.0823629i | 0.0104600 | + | 0.00893351i | ||||
\(86\) | 4.66101 | + | 3.38642i | 0.502609 | + | 0.365167i | ||||
\(87\) | −8.29498 | − | 1.31380i | −0.889315 | − | 0.140854i | ||||
\(88\) | 15.3202 | + | 2.42648i | 1.63314 | + | 0.258664i | ||||
\(89\) | 2.86263 | + | 2.07983i | 0.303439 | + | 0.220461i | 0.729076 | − | 0.684433i | \(-0.239950\pi\) |
−0.425637 | + | 0.904894i | \(0.639950\pi\) | |||||||
\(90\) | 10.1723 | − | 24.5587i | 1.07226 | − | 2.58872i | ||||
\(91\) | −0.385232 | − | 10.8610i | −0.0403833 | − | 1.13854i | ||||
\(92\) | 5.76796 | + | 11.3203i | 0.601351 | + | 1.18022i | ||||
\(93\) | −9.45369 | − | 9.45369i | −0.980302 | − | 0.980302i | ||||
\(94\) | 0.129093 | − | 0.397306i | 0.0133149 | − | 0.0409790i | ||||
\(95\) | −4.00081 | + | 0.314905i | −0.410475 | + | 0.0323086i | ||||
\(96\) | 15.0527 | − | 4.89090i | 1.53631 | − | 0.499176i | ||||
\(97\) | −6.97738 | + | 13.6939i | −0.708446 | + | 1.39040i | 0.203080 | + | 0.979162i | \(0.434905\pi\) |
−0.911526 | + | 0.411241i | \(0.865095\pi\) | |||||||
\(98\) | −13.7521 | + | 8.28365i | −1.38918 | + | 0.836775i | ||||
\(99\) | − | 27.8222i | − | 2.79624i | ||||||
\(100\) | −7.39980 | + | 14.5235i | −0.739980 | + | 1.45235i | ||||
\(101\) | − | 12.0690i | − | 1.20091i | −0.799657 | − | 0.600457i | \(-0.794985\pi\) | ||
0.799657 | − | 0.600457i | \(-0.205015\pi\) | |||||||
\(102\) | −0.367524 | + | 0.0582100i | −0.0363903 | + | 0.00576365i | ||||
\(103\) | 1.29550 | + | 0.660088i | 0.127649 | + | 0.0650404i | 0.516649 | − | 0.856197i | \(-0.327179\pi\) |
−0.389000 | + | 0.921238i | \(0.627179\pi\) | |||||||
\(104\) | 3.66808 | + | 11.2892i | 0.359685 | + | 1.10700i | ||||
\(105\) | 1.92519 | + | 16.8140i | 0.187880 | + | 1.64088i | ||||
\(106\) | 5.20103 | − | 16.0071i | 0.505169 | − | 1.55475i | ||||
\(107\) | 5.30900 | − | 5.30900i | 0.513241 | − | 0.513241i | −0.402277 | − | 0.915518i | \(-0.631781\pi\) |
0.915518 | + | 0.402277i | \(0.131781\pi\) | |||||||
\(108\) | 9.24391 | + | 18.1422i | 0.889496 | + | 1.74573i | ||||
\(109\) | 3.28379 | + | 4.51975i | 0.314530 | + | 0.432913i | 0.936787 | − | 0.349899i | \(-0.113784\pi\) |
−0.622257 | + | 0.782813i | \(0.713784\pi\) | |||||||
\(110\) | −2.15951 | + | 27.4421i | −0.205901 | + | 2.61650i | ||||
\(111\) | 7.79786 | − | 10.7328i | 0.740140 | − | 1.01872i | ||||
\(112\) | 0.194062 | − | 0.208334i | 0.0183371 | − | 0.0196857i | ||||
\(113\) | 13.7887 | + | 2.18391i | 1.29713 | + | 0.205445i | 0.766547 | − | 0.642189i | \(-0.221973\pi\) |
0.530582 | + | 0.847634i | \(0.321973\pi\) | |||||||
\(114\) | 6.92121 | − | 9.52623i | 0.648231 | − | 0.892213i | ||||
\(115\) | −7.43029 | + | 4.55337i | −0.692878 | + | 0.424604i | ||||
\(116\) | −7.74293 | + | 5.62557i | −0.718913 | + | 0.522321i | ||||
\(117\) | 18.9707 | − | 9.66608i | 1.75385 | − | 0.893629i | ||||
\(118\) | −10.2478 | + | 10.2478i | −0.943386 | + | 0.943386i | ||||
\(119\) | 0.118196 | − | 0.0924490i | 0.0108350 | − | 0.00847478i | ||||
\(120\) | −7.07398 | − | 17.0777i | −0.645763 | − | 1.55897i | ||||
\(121\) | 5.50395 | + | 16.9394i | 0.500359 | + | 1.53995i | ||||
\(122\) | 4.91043 | − | 9.63725i | 0.444569 | − | 0.872516i | ||||
\(123\) | −2.29781 | − | 14.5078i | −0.207186 | − | 1.30812i | ||||
\(124\) | −15.2359 | −1.36823 | ||||||||
\(125\) | −10.3294 | − | 4.27827i | −0.923889 | − | 0.382660i | ||||
\(126\) | −26.0848 | − | 17.5736i | −2.32382 | − | 1.56558i | ||||
\(127\) | −10.3518 | + | 1.63956i | −0.918573 | + | 0.145488i | −0.597778 | − | 0.801661i | \(-0.703950\pi\) |
−0.320794 | + | 0.947149i | \(0.603950\pi\) | |||||||
\(128\) | 8.41262 | − | 16.5107i | 0.743578 | − | 1.45935i | ||||
\(129\) | −2.22064 | − | 6.83441i | −0.195516 | − | 0.601737i | ||||
\(130\) | −19.4618 | + | 8.06155i | −1.70692 | + | 0.707045i | ||||
\(131\) | 5.04701 | + | 1.63987i | 0.440959 | + | 0.143276i | 0.521078 | − | 0.853509i | \(-0.325530\pi\) |
−0.0801188 | + | 0.996785i | \(0.525530\pi\) | |||||||
\(132\) | −35.3956 | − | 35.3956i | −3.08079 | − | 3.08079i | ||||
\(133\) | −0.576110 | + | 4.71339i | −0.0499551 | + | 0.408703i | ||||
\(134\) | −0.429483 | − | 0.591132i | −0.0371017 | − | 0.0510660i | ||||
\(135\) | −11.9080 | + | 7.29738i | −1.02488 | + | 0.628059i | ||||
\(136\) | −0.0963363 | + | 0.132595i | −0.00826077 | + | 0.0113700i | ||||
\(137\) | 0.772665 | − | 4.87841i | 0.0660132 | − | 0.416791i | −0.932446 | − | 0.361308i | \(-0.882330\pi\) |
0.998460 | − | 0.0554827i | \(-0.0176698\pi\) | |||||||
\(138\) | 3.99989 | − | 25.2543i | 0.340494 | − | 2.14979i | ||||
\(139\) | 8.92635 | + | 6.48537i | 0.757123 | + | 0.550082i | 0.898027 | − | 0.439941i | \(-0.145001\pi\) |
−0.140903 | + | 0.990023i | \(0.545001\pi\) | |||||||
\(140\) | 15.1004 | + | 11.9977i | 1.27622 | + | 1.01399i | ||||
\(141\) | −0.421550 | + | 0.306274i | −0.0355010 | + | 0.0257930i | ||||
\(142\) | 10.8859 | + | 21.3648i | 0.913526 | + | 1.79290i | ||||
\(143\) | −15.5904 | + | 15.5904i | −1.30374 | + | 1.30374i | ||||
\(144\) | 0.530494 | + | 0.172368i | 0.0442078 | + | 0.0143640i | ||||
\(145\) | −4.26347 | − | 4.99180i | −0.354062 | − | 0.414546i | ||||
\(146\) | −34.8785 | + | 11.3327i | −2.88657 | + | 0.937903i | ||||
\(147\) | 19.9503 | + | 1.72340i | 1.64547 | + | 0.142143i | ||||
\(148\) | −2.36506 | − | 14.9324i | −0.194406 | − | 1.22743i | ||||
\(149\) | 1.46183i | 0.119758i | 0.998206 | + | 0.0598791i | \(0.0190715\pi\) | ||||
−0.998206 | + | 0.0598791i | \(0.980928\pi\) | |||||||
\(150\) | 29.2285 | − | 14.8933i | 2.38649 | − | 1.21603i | ||||
\(151\) | −8.74281 | −0.711480 | −0.355740 | − | 0.934585i | \(-0.615771\pi\) | ||||
−0.355740 | + | 0.934585i | \(0.615771\pi\) | |||||||
\(152\) | −0.811337 | − | 5.12258i | −0.0658081 | − | 0.415496i | ||||
\(153\) | 0.261938 | + | 0.133464i | 0.0211764 | + | 0.0107899i | ||||
\(154\) | 31.3135 | + | 8.96045i | 2.52332 | + | 0.722053i | ||||
\(155\) | −0.820022 | − | 10.4182i | −0.0658658 | − | 0.836813i | ||||
\(156\) | 11.8375 | − | 36.4319i | 0.947755 | − | 2.91689i | ||||
\(157\) | 10.7327 | + | 10.7327i | 0.856561 | + | 0.856561i | 0.990931 | − | 0.134370i | \(-0.0429012\pi\) |
−0.134370 | + | 0.990931i | \(0.542901\pi\) | |||||||
\(158\) | 14.5290 | − | 7.40291i | 1.15587 | − | 0.588944i | ||||
\(159\) | −16.9839 | + | 12.3395i | −1.34691 | + | 0.978588i | ||||
\(160\) | 11.4299 | + | 4.73431i | 0.903614 | + | 0.374280i | ||||
\(161\) | 3.53192 | + | 9.68736i | 0.278355 | + | 0.763471i | ||||
\(162\) | 0.831336 | − | 5.24885i | 0.0653159 | − | 0.412389i | ||||
\(163\) | −24.5231 | − | 3.88407i | −1.92080 | − | 0.304224i | −0.923879 | − | 0.382685i | \(-0.875000\pi\) |
−0.996917 | + | 0.0784605i | \(0.975000\pi\) | |||||||
\(164\) | −13.5423 | − | 9.83903i | −1.05747 | − | 0.768299i | ||||
\(165\) | 22.2983 | − | 26.1084i | 1.73592 | − | 2.03253i | ||||
\(166\) | −8.43334 | − | 11.6075i | −0.654554 | − | 0.900917i | ||||
\(167\) | 8.47354 | − | 4.31748i | 0.655702 | − | 0.334097i | −0.0942888 | − | 0.995545i | \(-0.530058\pi\) |
0.749991 | + | 0.661448i | \(0.230058\pi\) | |||||||
\(168\) | −21.4674 | + | 4.18505i | −1.65625 | + | 0.322884i | ||||
\(169\) | −3.68315 | − | 1.19673i | −0.283319 | − | 0.0920560i | ||||
\(170\) | −0.248001 | − | 0.151972i | −0.0190208 | − | 0.0116557i | ||||
\(171\) | −8.84753 | + | 2.87474i | −0.676588 | + | 0.219837i | ||||
\(172\) | −7.29672 | − | 3.71787i | −0.556370 | − | 0.283485i | ||||
\(173\) | −4.50515 | + | 0.713546i | −0.342520 | + | 0.0542499i | −0.325325 | − | 0.945602i | \(-0.605474\pi\) |
−0.0171954 | + | 0.999852i | \(0.505474\pi\) | |||||||
\(174\) | 19.2614 | 1.46020 | ||||||||
\(175\) | −7.39123 | + | 10.9713i | −0.558724 | + | 0.829353i | ||||
\(176\) | −0.577621 | −0.0435398 | ||||||||
\(177\) | 17.8541 | − | 2.82781i | 1.34200 | − | 0.212551i | ||||
\(178\) | −7.23073 | − | 3.68424i | −0.541966 | − | 0.276146i | ||||
\(179\) | 1.80988 | − | 0.588066i | 0.135277 | − | 0.0439541i | −0.240596 | − | 0.970625i | \(-0.577343\pi\) |
0.375873 | + | 0.926671i | \(0.377343\pi\) | |||||||
\(180\) | −8.82032 | + | 36.7406i | −0.657428 | + | 2.73849i | ||||
\(181\) | 16.7826 | + | 5.45300i | 1.24744 | + | 0.405318i | 0.857003 | − | 0.515311i | \(-0.172324\pi\) |
0.390438 | + | 0.920629i | \(0.372324\pi\) | |||||||
\(182\) | 4.76931 | + | 24.4644i | 0.353525 | + | 1.81342i | ||||
\(183\) | −12.0206 | + | 6.12480i | −0.888588 | + | 0.452758i | ||||
\(184\) | −6.61973 | − | 9.11128i | −0.488013 | − | 0.671692i | ||||
\(185\) | 10.0834 | − | 2.42090i | 0.741346 | − | 0.177988i | ||||
\(186\) | 24.8066 | + | 18.0230i | 1.81891 | + | 1.32151i | ||||
\(187\) | −0.300682 | − | 0.0476233i | −0.0219880 | − | 0.00348256i | ||||
\(188\) | −0.0928916 | + | 0.586495i | −0.00677482 | + | 0.0427745i | ||||
\(189\) | 5.66037 | + | 15.5253i | 0.411731 | + | 1.12930i | ||||
\(190\) | 8.94979 | − | 2.14874i | 0.649286 | − | 0.155886i | ||||
\(191\) | −8.89680 | + | 6.46390i | −0.643750 | + | 0.467712i | −0.861136 | − | 0.508374i | \(-0.830247\pi\) |
0.217387 | + | 0.976086i | \(0.430247\pi\) | |||||||
\(192\) | −32.8916 | + | 16.7591i | −2.37375 | + | 1.20948i | ||||
\(193\) | 12.3378 | + | 12.3378i | 0.888091 | + | 0.888091i | 0.994340 | − | 0.106249i | \(-0.0338840\pi\) |
−0.106249 | + | 0.994340i | \(0.533884\pi\) | |||||||
\(194\) | 10.8923 | − | 33.5232i | 0.782024 | − | 2.40682i | ||||
\(195\) | 25.5491 | + | 6.13356i | 1.82961 | + | 0.439234i | ||||
\(196\) | 17.4651 | − | 14.6876i | 1.24750 | − | 1.04911i | ||||
\(197\) | −11.1337 | − | 5.67291i | −0.793245 | − | 0.404178i | 0.00990859 | − | 0.999951i | \(-0.496846\pi\) |
−0.803153 | + | 0.595773i | \(0.796846\pi\) | |||||||
\(198\) | 9.98199 | + | 63.0238i | 0.709389 | + | 4.47891i | ||||
\(199\) | −11.0246 | −0.781513 | −0.390756 | − | 0.920494i | \(-0.627787\pi\) | ||||
−0.390756 | + | 0.920494i | \(0.627787\pi\) | |||||||
\(200\) | 4.46472 | − | 13.7418i | 0.315703 | − | 0.971691i | ||||
\(201\) | 0.911381i | 0.0642838i | ||||||||
\(202\) | 4.33010 | + | 27.3392i | 0.304665 | + | 1.92358i | ||||
\(203\) | −6.79150 | + | 3.76946i | −0.476670 | + | 0.264564i | ||||
\(204\) | 0.503033 | − | 0.163445i | 0.0352194 | − | 0.0114435i | ||||
\(205\) | 5.99901 | − | 9.78969i | 0.418989 | − | 0.683741i | ||||
\(206\) | −3.17142 | − | 1.03046i | −0.220964 | − | 0.0717954i | ||||
\(207\) | −14.2841 | + | 14.2841i | −0.992815 | + | 0.992815i | ||||
\(208\) | −0.200679 | − | 0.393854i | −0.0139146 | − | 0.0273089i | ||||
\(209\) | 7.79368 | − | 5.66244i | 0.539100 | − | 0.391679i | ||||
\(210\) | −10.3935 | − | 37.3970i | −0.717220 | − | 2.58064i | ||||
\(211\) | −10.2803 | − | 7.46906i | −0.707724 | − | 0.514191i | 0.174715 | − | 0.984619i | \(-0.444100\pi\) |
−0.882439 | + | 0.470428i | \(0.844100\pi\) | |||||||
\(212\) | −3.74252 | + | 23.6293i | −0.257037 | + | 1.62287i | ||||
\(213\) | 4.67868 | − | 29.5400i | 0.320578 | − | 2.02405i | ||||
\(214\) | −10.1214 | + | 13.9309i | −0.691883 | + | 0.952295i | ||||
\(215\) | 2.14954 | − | 5.18957i | 0.146597 | − | 0.353925i | ||||
\(216\) | −10.6090 | − | 14.6020i | −0.721851 | − | 0.993542i | ||||
\(217\) | −12.2738 | − | 1.50021i | −0.833201 | − | 0.101841i | ||||
\(218\) | −9.06013 | − | 9.06013i | −0.613629 | − | 0.613629i | ||||
\(219\) | 43.5042 | + | 14.1354i | 2.93974 | + | 0.955179i | ||||
\(220\) | −3.07025 | − | 39.0070i | −0.206996 | − | 2.62985i | ||||
\(221\) | −0.0719915 | − | 0.221567i | −0.00484267 | − | 0.0149042i | ||||
\(222\) | −13.8133 | + | 27.1101i | −0.927086 | + | 1.81951i | ||||
\(223\) | 4.62872 | − | 0.733118i | 0.309962 | − | 0.0490932i | 0.000484538 | − | 1.00000i | \(-0.499846\pi\) |
0.309478 | + | 0.950907i | \(0.399846\pi\) | |||||||
\(224\) | 8.17897 | − | 12.1402i | 0.546481 | − | 0.811149i | ||||
\(225\) | −25.5978 | − | 4.05384i | −1.70652 | − | 0.270256i | ||||
\(226\) | −32.0181 | −2.12981 | ||||||||
\(227\) | −4.23604 | − | 26.7453i | −0.281156 | − | 1.77515i | −0.573869 | − | 0.818947i | \(-0.694558\pi\) |
0.292713 | − | 0.956200i | \(-0.405442\pi\) | |||||||
\(228\) | −7.59862 | + | 14.9131i | −0.503231 | + | 0.987647i | ||||
\(229\) | −0.678172 | − | 2.08720i | −0.0448149 | − | 0.137926i | 0.926145 | − | 0.377167i | \(-0.123102\pi\) |
−0.970960 | + | 0.239241i | \(0.923102\pi\) | |||||||
\(230\) | 15.1977 | − | 12.9803i | 1.00211 | − | 0.855894i | ||||
\(231\) | −25.0289 | − | 31.9994i | −1.64678 | − | 2.10540i | ||||
\(232\) | 5.99900 | − | 5.99900i | 0.393854 | − | 0.393854i | ||||
\(233\) | −9.26793 | + | 4.72225i | −0.607162 | + | 0.309365i | −0.730408 | − | 0.683012i | \(-0.760670\pi\) |
0.123245 | + | 0.992376i | \(0.460670\pi\) | |||||||
\(234\) | −39.5052 | + | 28.7022i | −2.58254 | + | 1.87632i | ||||
\(235\) | −0.406042 | − | 0.0319527i | −0.0264872 | − | 0.00208436i | ||||
\(236\) | 12.1085 | − | 16.6659i | 0.788194 | − | 1.08486i | ||||
\(237\) | −20.0885 | − | 3.18171i | −1.30489 | − | 0.206674i | ||||
\(238\) | −0.234572 | + | 0.251824i | −0.0152051 | + | 0.0163234i | ||||
\(239\) | −10.6903 | + | 14.7139i | −0.691496 | + | 0.951763i | 0.308503 | + | 0.951223i | \(0.400172\pi\) |
−1.00000 | 0.000539997i | \(0.999828\pi\) | ||||||||
\(240\) | 0.359670 | + | 0.586917i | 0.0232166 | + | 0.0378854i | ||||
\(241\) | 6.55615 | + | 9.02377i | 0.422319 | + | 0.581272i | 0.966169 | − | 0.257911i | \(-0.0830340\pi\) |
−0.543850 | + | 0.839182i | \(0.683034\pi\) | |||||||
\(242\) | −18.5452 | − | 36.3971i | −1.19213 | − | 2.33969i | ||||
\(243\) | 8.56235 | − | 8.56235i | 0.549275 | − | 0.549275i | ||||
\(244\) | −4.75094 | + | 14.6219i | −0.304148 | + | 0.936071i | ||||
\(245\) | 10.9833 | + | 11.1520i | 0.701697 | + | 0.712476i | ||||
\(246\) | 10.4101 | + | 32.0391i | 0.663727 | + | 2.04274i | ||||
\(247\) | 6.56867 | + | 3.34691i | 0.417955 | + | 0.212958i | ||||
\(248\) | 13.3394 | − | 2.11275i | 0.847050 | − | 0.134160i | ||||
\(249\) | 17.8959i | 1.13411i | ||||||||
\(250\) | 24.9334 | + | 5.98532i | 1.57693 | + | 0.378545i | ||||
\(251\) | 4.27338i | 0.269733i | 0.990864 | + | 0.134867i | \(0.0430606\pi\) | ||||
−0.990864 | + | 0.134867i | \(0.956939\pi\) | |||||||
\(252\) | 40.5289 | + | 18.8719i | 2.55308 | + | 1.18882i | ||||
\(253\) | 9.49696 | − | 18.6388i | 0.597069 | − | 1.17181i | ||||
\(254\) | 22.8610 | − | 7.42798i | 1.43442 | − | 0.466073i | ||||
\(255\) | 0.138837 | + | 0.335175i | 0.00869433 | + | 0.0209895i | ||||
\(256\) | −5.15751 | + | 15.8732i | −0.322344 | + | 0.992074i | ||||
\(257\) | 12.9844 | + | 12.9844i | 0.809943 | + | 0.809943i | 0.984625 | − | 0.174682i | \(-0.0558897\pi\) |
−0.174682 | + | 0.984625i | \(0.555890\pi\) | |||||||
\(258\) | 7.48229 | + | 14.6848i | 0.465827 | + | 0.914237i | ||||
\(259\) | −0.434932 | − | 12.2622i | −0.0270254 | − | 0.761934i | ||||
\(260\) | 25.5305 | − | 15.6454i | 1.58333 | − | 0.970286i | ||||
\(261\) | −12.3111 | − | 8.94457i | −0.762041 | − | 0.553655i | ||||
\(262\) | −12.0210 | − | 1.90394i | −0.742660 | − | 0.117626i | ||||
\(263\) | 7.31065 | + | 1.15789i | 0.450794 | + | 0.0713988i | 0.377704 | − | 0.925927i | \(-0.376714\pi\) |
0.0730905 | + | 0.997325i | \(0.476714\pi\) | |||||||
\(264\) | 35.8978 | + | 26.0813i | 2.20936 | + | 1.60519i | ||||
\(265\) | −16.3591 | − | 1.28735i | −1.00493 | − | 0.0790810i | ||||
\(266\) | −0.386036 | − | 10.8836i | −0.0236694 | − | 0.667318i | ||||
\(267\) | 4.59537 | + | 9.01893i | 0.281232 | + | 0.551949i | ||||
\(268\) | 0.734407 | + | 0.734407i | 0.0448611 | + | 0.0448611i | ||||
\(269\) | −9.39419 | + | 28.9124i | −0.572774 | + | 1.76282i | 0.0708623 | + | 0.997486i | \(0.477425\pi\) |
−0.643636 | + | 0.765331i | \(0.722575\pi\) | |||||||
\(270\) | 24.3563 | − | 20.8026i | 1.48228 | − | 1.26601i | ||||
\(271\) | −11.4914 | + | 3.73379i | −0.698055 | + | 0.226812i | −0.636483 | − | 0.771291i | \(-0.719611\pi\) |
−0.0615721 | + | 0.998103i | \(0.519611\pi\) | |||||||
\(272\) | 0.00277087 | − | 0.00543814i | 0.000168009 | − | 0.000329736i | ||||
\(273\) | 13.1233 | − | 28.1834i | 0.794261 | − | 1.70574i | ||||
\(274\) | 11.3280i | 0.684347i | ||||||||
\(275\) | 26.5075 | − | 4.19884i | 1.59846 | − | 0.253200i | ||||
\(276\) | 36.3447i | 2.18769i | ||||||||
\(277\) | −2.58822 | + | 0.409934i | −0.155511 | + | 0.0246306i | −0.233705 | − | 0.972308i | \(-0.575085\pi\) |
0.0781933 | + | 0.996938i | \(0.475085\pi\) | |||||||
\(278\) | −22.5471 | − | 11.4883i | −1.35228 | − | 0.689023i | ||||
\(279\) | −7.48590 | − | 23.0392i | −0.448169 | − | 1.37932i | ||||
\(280\) | −14.8844 | − | 8.41027i | −0.889514 | − | 0.502610i | ||||
\(281\) | −5.20949 | + | 16.0332i | −0.310772 | + | 0.956458i | 0.666688 | + | 0.745337i | \(0.267711\pi\) |
−0.977460 | + | 0.211121i | \(0.932289\pi\) | |||||||
\(282\) | 0.845026 | − | 0.845026i | 0.0503205 | − | 0.0503205i | ||||
\(283\) | −3.88365 | − | 7.62209i | −0.230859 | − | 0.453086i | 0.746296 | − | 0.665614i | \(-0.231830\pi\) |
−0.977155 | + | 0.212528i | \(0.931830\pi\) | |||||||
\(284\) | −20.0337 | − | 27.5741i | −1.18878 | − | 1.63622i | ||||
\(285\) | −10.6065 | − | 4.39325i | −0.628275 | − | 0.260234i | ||||
\(286\) | 29.7224 | − | 40.9094i | 1.75752 | − | 2.41902i | ||||
\(287\) | −9.94063 | − | 9.25961i | −0.586777 | − | 0.546578i | ||||
\(288\) | 28.3252 | + | 4.48626i | 1.66908 | + | 0.264356i | ||||
\(289\) | −9.99046 | + | 13.7507i | −0.587674 | + | 0.808864i | ||||
\(290\) | 11.4487 | + | 9.77795i | 0.672291 | + | 0.574181i | ||||
\(291\) | −35.5688 | + | 25.8423i | −2.08508 | + | 1.51490i | ||||
\(292\) | 46.4470 | − | 23.6659i | 2.71811 | − | 1.38494i | ||||
\(293\) | −11.3981 | + | 11.3981i | −0.665885 | + | 0.665885i | −0.956761 | − | 0.290876i | \(-0.906053\pi\) |
0.290876 | + | 0.956761i | \(0.406053\pi\) | |||||||
\(294\) | −45.8104 | + | 3.25383i | −2.67172 | + | 0.189767i | ||||
\(295\) | 12.0477 | + | 7.38272i | 0.701446 | + | 0.429839i | ||||
\(296\) | 4.14131 | + | 12.7456i | 0.240709 | + | 0.740826i | ||||
\(297\) | 15.2201 | − | 29.8712i | 0.883161 | − | 1.73330i | ||||
\(298\) | −0.524474 | − | 3.31140i | −0.0303819 | − | 0.191824i | ||||
\(299\) | 16.0085 | 0.925793 | ||||||||
\(300\) | −37.7230 | + | 27.4083i | −2.17794 | + | 1.58242i | ||||
\(301\) | −5.51205 | − | 3.71353i | −0.317709 | − | 0.214044i | ||||
\(302\) | 19.8045 | − | 3.13673i | 1.13962 | − | 0.180498i | ||||
\(303\) | 15.6742 | − | 30.7624i | 0.900459 | − | 1.76725i | ||||
\(304\) | 0.0596828 | + | 0.183685i | 0.00342305 | + | 0.0105351i | ||||
\(305\) | −10.2541 | − | 2.46170i | −0.587147 | − | 0.140956i | ||||
\(306\) | −0.641235 | − | 0.208350i | −0.0366570 | − | 0.0119106i | ||||
\(307\) | −19.9969 | − | 19.9969i | −1.14128 | − | 1.14128i | −0.988216 | − | 0.153068i | \(-0.951085\pi\) |
−0.153068 | − | 0.988216i | \(-0.548915\pi\) | |||||||
\(308\) | −45.9544 | − | 5.61693i | −2.61850 | − | 0.320054i | ||||
\(309\) | 2.44478 | + | 3.36495i | 0.139079 | + | 0.191425i | ||||
\(310\) | 5.59537 | + | 23.3055i | 0.317796 | + | 1.32367i | ||||
\(311\) | −11.4502 | + | 15.7599i | −0.649282 | + | 0.893660i | −0.999068 | − | 0.0431696i | \(-0.986254\pi\) |
0.349786 | + | 0.936830i | \(0.386254\pi\) | |||||||
\(312\) | −5.31196 | + | 33.5384i | −0.300731 | + | 1.89874i | ||||
\(313\) | −4.52789 | + | 28.5880i | −0.255931 | + | 1.61589i | 0.440150 | + | 0.897924i | \(0.354925\pi\) |
−0.696081 | + | 0.717963i | \(0.745075\pi\) | |||||||
\(314\) | −28.1627 | − | 20.4614i | −1.58931 | − | 1.15470i | ||||
\(315\) | −10.7232 | + | 28.7292i | −0.604183 | + | 1.61871i | ||||
\(316\) | −18.7516 | + | 13.6238i | −1.05486 | + | 0.766401i | ||||
\(317\) | −4.66373 | − | 9.15309i | −0.261941 | − | 0.514089i | 0.722153 | − | 0.691733i | \(-0.243152\pi\) |
−0.984095 | + | 0.177644i | \(0.943152\pi\) | |||||||
\(318\) | 34.0453 | − | 34.0453i | 1.90917 | − | 1.90917i | ||||
\(319\) | 14.9871 | + | 4.86959i | 0.839114 | + | 0.272645i | ||||
\(320\) | −28.0579 | − | 6.73586i | −1.56849 | − | 0.376546i | ||||
\(321\) | 20.4268 | − | 6.63707i | 1.14011 | − | 0.370445i | ||||
\(322\) | −11.4762 | − | 20.6770i | −0.639546 | − | 1.15228i | ||||
\(323\) | 0.0159237 | + | 0.100538i | 0.000886017 | + | 0.00559409i | ||||
\(324\) | 7.55387i | 0.419659i | ||||||||
\(325\) | 12.0723 | + | 16.6155i | 0.669652 | + | 0.921664i | ||||
\(326\) | 56.9440 | 3.15384 | ||||||||
\(327\) | 2.50008 | + | 15.7849i | 0.138255 | + | 0.872908i | ||||
\(328\) | 13.2209 | + | 6.73639i | 0.730002 | + | 0.371955i | ||||
\(329\) | −0.132581 | + | 0.463324i | −0.00730945 | + | 0.0255439i | ||||
\(330\) | −41.1437 | + | 67.1417i | −2.26489 | + | 3.69603i | ||||
\(331\) | 0.0415942 | − | 0.128014i | 0.00228622 | − | 0.00703627i | −0.949907 | − | 0.312533i | \(-0.898823\pi\) |
0.952193 | + | 0.305497i | \(0.0988225\pi\) | |||||||
\(332\) | 14.4209 | + | 14.4209i | 0.791447 | + | 0.791447i | ||||
\(333\) | 21.4182 | − | 10.9131i | 1.17371 | − | 0.598036i | ||||
\(334\) | −17.6455 | + | 12.8202i | −0.965520 | + | 0.701492i | ||||
\(335\) | −0.462657 | + | 0.541711i | −0.0252776 | + | 0.0295968i | ||||
\(336\) | 0.765203 | − | 0.278986i | 0.0417452 | − | 0.0152199i | ||||
\(337\) | 5.24151 | − | 33.0936i | 0.285523 | − | 1.80272i | −0.261063 | − | 0.965322i | \(-0.584073\pi\) |
0.546587 | − | 0.837402i | \(-0.315927\pi\) | |||||||
\(338\) | 8.77256 | + | 1.38944i | 0.477164 | + | 0.0755754i | ||||
\(339\) | 32.3092 | + | 23.4740i | 1.75479 | + | 1.27493i | ||||
\(340\) | 0.381968 | + | 0.158212i | 0.0207151 | + | 0.00858027i | ||||
\(341\) | 14.7452 | + | 20.2950i | 0.798495 | + | 1.09903i | ||||
\(342\) | 19.0103 | − | 9.68625i | 1.02796 | − | 0.523772i | ||||
\(343\) | 15.5158 | − | 10.1124i | 0.837774 | − | 0.546017i | ||||
\(344\) | 6.90399 | + | 2.24324i | 0.372238 | + | 0.120947i | ||||
\(345\) | −24.8523 | + | 1.95613i | −1.33800 | + | 0.105315i | ||||
\(346\) | 9.94922 | − | 3.23270i | 0.534873 | − | 0.173791i | ||||
\(347\) | 9.23837 | + | 4.70718i | 0.495942 | + | 0.252695i | 0.684026 | − | 0.729458i | \(-0.260228\pi\) |
−0.188084 | + | 0.982153i | \(0.560228\pi\) | |||||||
\(348\) | −27.0417 | + | 4.28298i | −1.44958 | + | 0.229592i | ||||
\(349\) | −33.1017 | −1.77189 | −0.885945 | − | 0.463790i | \(-0.846489\pi\) | ||||
−0.885945 | + | 0.463790i | \(0.846489\pi\) | |||||||
\(350\) | 12.8066 | − | 27.5044i | 0.684541 | − | 1.47017i | ||||
\(351\) | 25.6557 | 1.36940 | ||||||||
\(352\) | −29.3320 | + | 4.64573i | −1.56340 | + | 0.247618i | ||||
\(353\) | 27.0892 | + | 13.8026i | 1.44181 | + | 0.734641i | 0.987708 | − | 0.156307i | \(-0.0499590\pi\) |
0.454105 | + | 0.890948i | \(0.349959\pi\) | |||||||
\(354\) | −39.4292 | + | 12.8113i | −2.09564 | + | 0.680914i | ||||
\(355\) | 17.7768 | − | 15.1831i | 0.943493 | − | 0.805833i | ||||
\(356\) | 10.9707 | + | 3.56458i | 0.581444 | + | 0.188922i | ||||
\(357\) | 0.421329 | − | 0.0821378i | 0.0222991 | − | 0.00434719i | ||||
\(358\) | −3.88882 | + | 1.98145i | −0.205530 | + | 0.104723i | ||||
\(359\) | −11.7260 | − | 16.1394i | −0.618874 | − | 0.851807i | 0.378396 | − | 0.925644i | \(-0.376476\pi\) |
−0.997270 | + | 0.0738368i | \(0.976476\pi\) | |||||||
\(360\) | 2.62759 | − | 33.3903i | 0.138486 | − | 1.75982i | ||||
\(361\) | 12.7654 | + | 9.27458i | 0.671862 | + | 0.488136i | ||||
\(362\) | −39.9729 | − | 6.33109i | −2.10093 | − | 0.332755i | ||||
\(363\) | −7.97059 | + | 50.3244i | −0.418348 | + | 2.64134i | ||||
\(364\) | −12.1357 | − | 33.2857i | −0.636083 | − | 1.74465i | ||||
\(365\) | 18.6825 | + | 30.4865i | 0.977887 | + | 1.59574i | ||||
\(366\) | 25.0320 | − | 18.1868i | 1.30844 | − | 0.950641i | ||||
\(367\) | 15.1963 | − | 7.74290i | 0.793241 | − | 0.404176i | −0.00991110 | − | 0.999951i | \(-0.503155\pi\) |
0.803152 | + | 0.595775i | \(0.203155\pi\) | |||||||
\(368\) | 0.296555 | + | 0.296555i | 0.0154590 | + | 0.0154590i | ||||
\(369\) | 8.22450 | − | 25.3124i | 0.428150 | − | 1.31771i | ||||
\(370\) | −21.9727 | + | 9.10160i | −1.14230 | + | 0.473170i | ||||
\(371\) | −5.34158 | + | 18.6669i | −0.277321 | + | 0.969138i | ||||
\(372\) | −38.8343 | − | 19.7870i | −2.01346 | − | 1.02591i | ||||
\(373\) | 2.14774 | + | 13.5603i | 0.111206 | + | 0.702125i | 0.978795 | + | 0.204843i | \(0.0656685\pi\) |
−0.867589 | + | 0.497282i | \(0.834331\pi\) | |||||||
\(374\) | 0.698200 | 0.0361031 | ||||||||
\(375\) | −20.7720 | − | 24.3196i | −1.07266 | − | 1.25586i | ||||
\(376\) | − | 0.526369i | − | 0.0271454i | ||||||
\(377\) | 1.88649 | + | 11.9108i | 0.0971591 | + | 0.613438i | ||||
\(378\) | −18.3922 | − | 33.1375i | −0.945992 | − | 1.70441i | ||||
\(379\) | 14.5474 | − | 4.72673i | 0.747249 | − | 0.242796i | 0.0894522 | − | 0.995991i | \(-0.471488\pi\) |
0.657797 | + | 0.753195i | \(0.271488\pi\) | |||||||
\(380\) | −12.0871 | + | 5.00675i | −0.620054 | + | 0.256841i | ||||
\(381\) | −28.5146 | − | 9.26496i | −1.46085 | − | 0.474658i | ||||
\(382\) | 17.8342 | − | 17.8342i | 0.912478 | − | 0.912478i | ||||
\(383\) | 0.837922 | + | 1.64451i | 0.0428158 | + | 0.0840307i | 0.911423 | − | 0.411470i | \(-0.134985\pi\) |
−0.868607 | + | 0.495501i | \(0.834985\pi\) | |||||||
\(384\) | 42.8853 | − | 31.1580i | 2.18848 | − | 1.59002i | ||||
\(385\) | 1.36749 | − | 31.7257i | 0.0696936 | − | 1.61689i | ||||
\(386\) | −32.3744 | − | 23.5214i | −1.64781 | − | 1.19721i | ||||
\(387\) | 2.03691 | − | 12.8606i | 0.103542 | − | 0.653740i | ||||
\(388\) | −7.83784 | + | 49.4862i | −0.397906 | + | 2.51228i | ||||
\(389\) | 18.1228 | − | 24.9439i | 0.918862 | − | 1.26471i | −0.0451865 | − | 0.998979i | \(-0.514388\pi\) |
0.964048 | − | 0.265726i | \(-0.0856118\pi\) | |||||||
\(390\) | −60.0752 | − | 4.72751i | −3.04203 | − | 0.239387i | ||||
\(391\) | 0.129922 | + | 0.178822i | 0.00657044 | + | 0.00904343i | ||||
\(392\) | −13.2543 | + | 15.2811i | −0.669444 | + | 0.771814i | ||||
\(393\) | 10.7344 | + | 10.7344i | 0.541480 | + | 0.541480i | ||||
\(394\) | 27.2558 | + | 8.85594i | 1.37313 | + | 0.446156i | ||||
\(395\) | −10.3252 | − | 12.0890i | −0.519515 | − | 0.608263i | ||||
\(396\) | −28.0280 | − | 86.2613i | −1.40846 | − | 4.33479i | ||||
\(397\) | 9.21582 | − | 18.0871i | 0.462529 | − | 0.907764i | −0.535471 | − | 0.844553i | \(-0.679866\pi\) |
0.998000 | − | 0.0632105i | \(-0.0201340\pi\) | |||||||
\(398\) | 24.9733 | − | 3.95538i | 1.25180 | − | 0.198265i | ||||
\(399\) | −7.58976 | + | 11.2656i | −0.379963 | + | 0.563985i | ||||
\(400\) | −0.0841625 | + | 0.531439i | −0.00420812 | + | 0.0265720i | ||||
\(401\) | 15.6422 | 0.781136 | 0.390568 | − | 0.920574i | \(-0.372279\pi\) | ||||
0.390568 | + | 0.920574i | \(0.372279\pi\) | |||||||
\(402\) | −0.326983 | − | 2.06449i | −0.0163084 | − | 0.102967i | ||||
\(403\) | −8.71544 | + | 17.1050i | −0.434147 | + | 0.852062i | ||||
\(404\) | −12.1583 | − | 37.4194i | −0.604899 | − | 1.86169i | ||||
\(405\) | −5.16529 | + | 0.406562i | −0.256666 | + | 0.0202022i | ||||
\(406\) | 14.0319 | − | 10.9753i | 0.696393 | − | 0.544697i | ||||
\(407\) | −17.6018 | + | 17.6018i | −0.872488 | + | 0.872488i | ||||
\(408\) | −0.417751 | + | 0.212855i | −0.0206818 | + | 0.0105379i | ||||
\(409\) | 3.25294 | − | 2.36340i | 0.160848 | − | 0.116863i | −0.504450 | − | 0.863441i | \(-0.668305\pi\) |
0.665298 | + | 0.746578i | \(0.268305\pi\) | |||||||
\(410\) | −10.0768 | + | 24.3282i | −0.497660 | + | 1.20149i | ||||
\(411\) | 8.30507 | − | 11.4309i | 0.409659 | − | 0.563847i | ||||
\(412\) | 4.68159 | + | 0.741490i | 0.230645 | + | 0.0365306i | ||||
\(413\) | 11.3954 | − | 12.2335i | 0.560731 | − | 0.601971i | ||||
\(414\) | 27.2320 | − | 37.4817i | 1.33838 | − | 1.84212i | ||||
\(415\) | −9.08475 | + | 10.6371i | −0.445953 | + | 0.522153i | ||||
\(416\) | −13.3583 | − | 18.3862i | −0.654946 | − | 0.901455i | ||||
\(417\) | 14.3294 | + | 28.1231i | 0.701715 | + | 1.37719i | ||||
\(418\) | −15.6229 | + | 15.6229i | −0.764143 | + | 0.764143i | ||||
\(419\) | 11.7452 | − | 36.1479i | 0.573788 | − | 1.76594i | −0.0664797 | − | 0.997788i | \(-0.521177\pi\) |
0.640268 | − | 0.768151i | \(-0.278823\pi\) | |||||||
\(420\) | 22.9073 | + | 50.1915i | 1.11776 | + | 2.44910i | ||||
\(421\) | −10.3327 | − | 31.8009i | −0.503587 | − | 1.54988i | −0.803133 | − | 0.595800i | \(-0.796835\pi\) |
0.299546 | − | 0.954082i | \(-0.403165\pi\) | |||||||
\(422\) | 25.9670 | + | 13.2308i | 1.26405 | + | 0.644067i | ||||
\(423\) | −0.932518 | + | 0.147696i | −0.0453406 | + | 0.00718124i | ||||
\(424\) | − | 21.2070i | − | 1.02990i | ||||||
\(425\) | −0.0876267 | + | 0.269703i | −0.00425052 | + | 0.0130825i | ||||
\(426\) | 68.5937i | 3.32337i | ||||||||
\(427\) | −5.26703 | + | 11.3114i | −0.254890 | + | 0.547395i | ||||
\(428\) | 11.1120 | − | 21.8086i | 0.537119 | − | 1.05416i | ||||
\(429\) | −59.9853 | + | 19.4904i | −2.89612 | + | 0.941006i | ||||
\(430\) | −3.00730 | + | 12.5268i | −0.145025 | + | 0.604095i | ||||
\(431\) | 8.50683 | − | 26.1813i | 0.409760 | − | 1.26111i | −0.507095 | − | 0.861890i | \(-0.669281\pi\) |
0.916855 | − | 0.399221i | \(-0.130719\pi\) | |||||||
\(432\) | 0.475268 | + | 0.475268i | 0.0228663 | + | 0.0228663i | ||||
\(433\) | −8.35131 | − | 16.3904i | −0.401338 | − | 0.787671i | 0.598572 | − | 0.801069i | \(-0.295735\pi\) |
−0.999910 | + | 0.0133985i | \(0.995735\pi\) | |||||||
\(434\) | 28.3413 | − | 1.00525i | 1.36043 | − | 0.0482535i | ||||
\(435\) | −4.38411 | − | 18.2604i | −0.210202 | − | 0.875521i | ||||
\(436\) | 14.7344 | + | 10.7052i | 0.705649 | + | 0.512684i | ||||
\(437\) | −6.90847 | − | 1.09419i | −0.330477 | − | 0.0523424i | ||||
\(438\) | −103.619 | − | 16.4116i | −4.95109 | − | 0.784175i | ||||
\(439\) | −3.15569 | − | 2.29274i | −0.150613 | − | 0.109427i | 0.509927 | − | 0.860218i | \(-0.329672\pi\) |
−0.660540 | + | 0.750791i | \(0.729672\pi\) | |||||||
\(440\) | 8.09712 | + | 33.7257i | 0.386015 | + | 1.60781i | ||||
\(441\) | 30.7912 | + | 19.1936i | 1.46625 | + | 0.913981i | ||||
\(442\) | 0.242571 | + | 0.476072i | 0.0115379 | + | 0.0226444i | ||||
\(443\) | −11.0469 | − | 11.0469i | −0.524854 | − | 0.524854i | 0.394180 | − | 0.919033i | \(-0.371029\pi\) |
−0.919033 | + | 0.394180i | \(0.871029\pi\) | |||||||
\(444\) | 13.3646 | − | 41.1321i | 0.634258 | − | 1.95204i | ||||
\(445\) | −1.84698 | + | 7.69353i | −0.0875554 | + | 0.364708i | ||||
\(446\) | −10.2221 | + | 3.32137i | −0.484031 | + | 0.157271i | ||||
\(447\) | −1.89850 | + | 3.72602i | −0.0897960 | + | 0.176235i | ||||
\(448\) | −14.4120 | + | 30.9510i | −0.680904 | + | 1.46230i | ||||
\(449\) | 18.5686i | 0.876305i | 0.898901 | + | 0.438153i | \(0.144367\pi\) | ||||
−0.898901 | + | 0.438153i | \(0.855633\pi\) | |||||||
\(450\) | 59.4394 | − | 0.00101082i | 2.80200 | − | 4.76505e-5i | ||||
\(451\) | 27.5611i | 1.29780i | ||||||||
\(452\) | 44.9511 | − | 7.11955i | 2.11432 | − | 0.334876i | ||||
\(453\) | −22.2842 | − | 11.3544i | −1.04700 | − | 0.533476i | ||||
\(454\) | 19.1912 | + | 59.0645i | 0.900689 | + | 2.77204i | ||||
\(455\) | 22.1075 | − | 10.0898i | 1.03641 | − | 0.473018i | ||||
\(456\) | 4.58477 | − | 14.1105i | 0.214701 | − | 0.660783i | ||||
\(457\) | −0.684871 | + | 0.684871i | −0.0320369 | + | 0.0320369i | −0.722944 | − | 0.690907i | \(-0.757211\pi\) |
0.690907 | + | 0.722944i | \(0.257211\pi\) | |||||||
\(458\) | 2.28506 | + | 4.48468i | 0.106774 | + | 0.209555i | ||||
\(459\) | 0.208217 | + | 0.286586i | 0.00971874 | + | 0.0133767i | ||||
\(460\) | −18.4502 | + | 21.6027i | −0.860243 | + | 1.00723i | ||||
\(461\) | −17.3077 | + | 23.8220i | −0.806098 | + | 1.10950i | 0.185815 | + | 0.982585i | \(0.440507\pi\) |
−0.991914 | + | 0.126914i | \(0.959493\pi\) | |||||||
\(462\) | 68.1769 | + | 63.5062i | 3.17188 | + | 2.95458i | ||||
\(463\) | −0.0892583 | − | 0.0141371i | −0.00414818 | − | 0.000657008i | 0.154360 | − | 0.988015i | \(-0.450668\pi\) |
−0.158508 | + | 0.987358i | \(0.550668\pi\) | |||||||
\(464\) | −0.185700 | + | 0.255594i | −0.00862089 | + | 0.0118656i | ||||
\(465\) | 11.4402 | − | 27.6197i | 0.530525 | − | 1.28083i | ||||
\(466\) | 19.2998 | − | 14.0221i | 0.894045 | − | 0.649562i | ||||
\(467\) | −22.4185 | + | 11.4228i | −1.03740 | + | 0.528584i | −0.887833 | − | 0.460167i | \(-0.847790\pi\) |
−0.149572 | + | 0.988751i | \(0.547790\pi\) | |||||||
\(468\) | 49.0802 | − | 49.0802i | 2.26873 | − | 2.26873i | ||||
\(469\) | 0.519313 | + | 0.663940i | 0.0239797 | + | 0.0306579i | ||||
\(470\) | 0.931243 | − | 0.0732984i | 0.0429550 | − | 0.00338100i | ||||
\(471\) | 13.4175 | + | 41.2948i | 0.618245 | + | 1.90276i | ||||
\(472\) | −8.29017 | + | 16.2704i | −0.381586 | + | 0.748905i | ||||
\(473\) | 2.10932 | + | 13.3177i | 0.0969865 | + | 0.612349i | ||||
\(474\) | 46.6468 | 2.14256 | ||||||||
\(475\) | −4.07414 | − | 7.99561i | −0.186934 | − | 0.366864i | ||||
\(476\) | 0.273327 | − | 0.405703i | 0.0125279 | − | 0.0185954i | ||||
\(477\) | −37.5703 | + | 5.95056i | −1.72023 | + | 0.272457i | ||||
\(478\) | 18.9369 | − | 37.1659i | 0.866156 | − | 1.69993i | ||||
\(479\) | 9.62665 | + | 29.6278i | 0.439853 | + | 1.35373i | 0.888031 | + | 0.459784i | \(0.152073\pi\) |
−0.448178 | + | 0.893944i | \(0.647927\pi\) | |||||||
\(480\) | 22.9848 | + | 26.9113i | 1.04911 | + | 1.22833i | ||||
\(481\) | −18.1171 | − | 5.88662i | −0.826071 | − | 0.268407i | ||||
\(482\) | −18.0887 | − | 18.0887i | −0.823919 | − | 0.823919i | ||||
\(483\) | −3.57869 | + | 29.2787i | −0.162836 | + | 1.33223i | ||||
\(484\) | 34.1294 | + | 46.9751i | 1.55134 | + | 2.13523i | ||||
\(485\) | −34.2602 | − | 2.69605i | −1.55568 | − | 0.122421i | ||||
\(486\) | −16.3237 | + | 22.4677i | −0.740460 | + | 1.01916i | ||||
\(487\) | −1.44146 | + | 9.10101i | −0.0653187 | + | 0.412406i | 0.933264 | + | 0.359190i | \(0.116947\pi\) |
−0.998583 | + | 0.0532158i | \(0.983053\pi\) | |||||||
\(488\) | 2.13195 | − | 13.4606i | 0.0965087 | − | 0.609332i | ||||
\(489\) | −57.4617 | − | 41.7484i | −2.59851 | − | 1.88793i | ||||
\(490\) | −28.8808 | − | 21.3213i | −1.30470 | − | 0.963200i | ||||
\(491\) | −15.1556 | + | 11.0112i | −0.683962 | + | 0.496927i | −0.874670 | − | 0.484719i | \(-0.838922\pi\) |
0.190708 | + | 0.981647i | \(0.438922\pi\) | |||||||
\(492\) | −21.7393 | − | 42.6658i | −0.980085 | − | 1.92353i | ||||
\(493\) | −0.117739 | + | 0.117739i | −0.00530271 | + | 0.00530271i | ||||
\(494\) | −16.0804 | − | 5.22483i | −0.723490 | − | 0.235076i | ||||
\(495\) | 57.4765 | − | 23.8081i | 2.58338 | − | 1.07010i | ||||
\(496\) | −0.478321 | + | 0.155416i | −0.0214773 | + | 0.00697838i | ||||
\(497\) | −13.4238 | − | 24.1859i | −0.602139 | − | 1.08488i | ||||
\(498\) | −6.42065 | − | 40.5384i | −0.287716 | − | 1.81657i | ||||
\(499\) | − | 1.06987i | − | 0.0478938i | −0.999713 | − | 0.0239469i | \(-0.992377\pi\) | ||
0.999713 | − | 0.0239469i | \(-0.00762326\pi\) | |||||||
\(500\) | −36.3357 | − | 2.85875i | −1.62498 | − | 0.127847i | ||||
\(501\) | 27.2051 | 1.21543 | ||||||||
\(502\) | −1.53319 | − | 9.68020i | −0.0684298 | − | 0.432049i | ||||
\(503\) | 9.71648 | + | 4.95080i | 0.433237 | + | 0.220745i | 0.656988 | − | 0.753901i | \(-0.271830\pi\) |
−0.223751 | + | 0.974646i | \(0.571830\pi\) | |||||||
\(504\) | −38.1008 | − | 10.9026i | −1.69715 | − | 0.485643i | ||||
\(505\) | 24.9328 | − | 10.3278i | 1.10950 | − | 0.459580i | ||||
\(506\) | −14.8256 | + | 45.6286i | −0.659079 | + | 2.02844i | ||||
\(507\) | −7.83365 | − | 7.83365i | −0.347905 | − | 0.347905i | ||||
\(508\) | −30.4435 | + | 15.5117i | −1.35071 | + | 0.688222i | ||||
\(509\) | 9.57382 | − | 6.95579i | 0.424352 | − | 0.308310i | −0.355034 | − | 0.934853i | \(-0.615531\pi\) |
0.779387 | + | 0.626543i | \(0.215531\pi\) | |||||||
\(510\) | −0.434752 | − | 0.709437i | −0.0192511 | − | 0.0314144i | ||||
\(511\) | 39.7472 | − | 14.4915i | 1.75831 | − | 0.641065i | ||||
\(512\) | 0.190435 | − | 1.20236i | 0.00841611 | − | 0.0531372i | ||||
\(513\) | −11.0717 | − | 1.75359i | −0.488829 | − | 0.0774229i | ||||
\(514\) | −34.0711 | − | 24.7541i | −1.50281 | − | 1.09186i | ||||
\(515\) | −0.255057 | + | 3.24115i | −0.0112391 | + | 0.142822i | ||||
\(516\) | −13.7699 | − | 18.9527i | −0.606187 | − | 0.834345i | ||||
\(517\) | 0.871139 | − | 0.443867i | 0.0383127 | − | 0.0195213i | ||||
\(518\) | 5.38461 | + | 27.6206i | 0.236586 | + | 1.21358i | ||||
\(519\) | −12.4097 | − | 4.03216i | −0.544726 | − | 0.176992i | ||||
\(520\) | −20.1829 | + | 17.2381i | −0.885080 | + | 0.755943i | ||||
\(521\) | 27.6845 | − | 8.99523i | 1.21288 | − | 0.394088i | 0.368395 | − | 0.929670i | \(-0.379908\pi\) |
0.844484 | + | 0.535582i | \(0.179908\pi\) | |||||||
\(522\) | 31.0967 | + | 15.8446i | 1.36107 | + | 0.693498i | ||||
\(523\) | 19.9445 | − | 3.15890i | 0.872111 | − | 0.138129i | 0.295692 | − | 0.955283i | \(-0.404450\pi\) |
0.576419 | + | 0.817154i | \(0.304450\pi\) | |||||||
\(524\) | 17.3000 | 0.755754 | ||||||||
\(525\) | −33.0878 | + | 18.3653i | −1.44407 | + | 0.801528i | ||||
\(526\) | −16.9758 | −0.740178 | ||||||||
\(527\) | −0.261804 | + | 0.0414658i | −0.0114044 | + | 0.00180628i | ||||
\(528\) | −1.47228 | − | 0.750163i | −0.0640727 | − | 0.0326467i | ||||
\(529\) | 7.42919 | − | 2.41389i | 0.323008 | − | 0.104952i | ||||
\(530\) | 37.5190 | − | 2.95313i | 1.62972 | − | 0.128276i | ||||
\(531\) | 31.1509 | + | 10.1215i | 1.35183 | + | 0.439237i | ||||
\(532\) | 2.96205 | + | 15.1940i | 0.128421 | + | 0.658743i | ||||
\(533\) | −18.7927 | + | 9.57535i | −0.814002 | + | 0.414755i | ||||
\(534\) | −13.6454 | − | 18.7813i | −0.590493 | − | 0.812745i | ||||
\(535\) | 15.5106 | + | 6.42456i | 0.670584 | + | 0.277758i | ||||
\(536\) | −0.744828 | − | 0.541149i | −0.0321717 | − | 0.0233741i | ||||
\(537\) | 5.37687 | + | 0.851612i | 0.232029 | + | 0.0367498i | ||||
\(538\) | 10.9069 | − | 68.8637i | 0.470231 | − | 2.96892i | ||||
\(539\) | −36.4671 | − | 9.04982i | −1.57075 | − | 0.389804i | ||||
\(540\) | −29.5688 | + | 34.6212i | −1.27244 | + | 1.48986i | ||||
\(541\) | 18.0860 | − | 13.1402i | 0.777577 | − | 0.564943i | −0.126674 | − | 0.991944i | \(-0.540430\pi\) |
0.904251 | + | 0.427002i | \(0.140430\pi\) | |||||||
\(542\) | 24.6912 | − | 12.5808i | 1.06058 | − | 0.540391i | ||||
\(543\) | 35.6947 | + | 35.6947i | 1.53181 | + | 1.53181i | ||||
\(544\) | 0.0969684 | − | 0.298438i | 0.00415748 | − | 0.0127954i | ||||
\(545\) | −6.52710 | + | 10.6515i | −0.279590 | + | 0.456259i | ||||
\(546\) | −19.6159 | + | 68.5504i | −0.839481 | + | 2.93369i | ||||
\(547\) | 36.0799 | + | 18.3836i | 1.54267 | + | 0.786027i | 0.998594 | − | 0.0530117i | \(-0.0168821\pi\) |
0.544071 | + | 0.839039i | \(0.316882\pi\) | |||||||
\(548\) | −2.51889 | − | 15.9036i | −0.107602 | − | 0.679370i | ||||
\(549\) | −24.4450 | −1.04329 | ||||||||
\(550\) | −58.5393 | + | 19.0217i | −2.49612 | + | 0.811087i | ||||
\(551\) | − | 5.26907i | − | 0.224470i | ||||||
\(552\) | −5.03988 | − | 31.8205i | −0.214511 | − | 1.35437i | ||||
\(553\) | −16.4475 | + | 9.12876i | −0.699417 | + | 0.388195i | ||||
\(554\) | 5.71585 | − | 1.85719i | 0.242843 | − | 0.0789046i | ||||
\(555\) | 28.8453 | + | 6.92487i | 1.22441 | + | 0.293944i | ||||
\(556\) | 34.2090 | + | 11.1152i | 1.45079 | + | 0.471389i | ||||
\(557\) | −20.9995 | + | 20.9995i | −0.889777 | + | 0.889777i | −0.994501 | − | 0.104724i | \(-0.966604\pi\) |
0.104724 | + | 0.994501i | \(0.466604\pi\) | |||||||
\(558\) | 25.2233 | + | 49.5035i | 1.06779 | + | 2.09565i | ||||
\(559\) | −8.34793 | + | 6.06513i | −0.353080 | + | 0.256528i | ||||
\(560\) | 0.596451 | + | 0.222626i | 0.0252046 | + | 0.00940765i | ||||
\(561\) | −0.704548 | − | 0.511884i | −0.0297460 | − | 0.0216118i | ||||
\(562\) | 6.04837 | − | 38.1879i | 0.255135 | − | 1.61086i | ||||
\(563\) | 0.662311 | − | 4.18167i | 0.0279131 | − | 0.176236i | −0.969793 | − | 0.243929i | \(-0.921564\pi\) |
0.997706 | + | 0.0676925i | \(0.0215637\pi\) | |||||||
\(564\) | −0.998455 | + | 1.37426i | −0.0420425 | + | 0.0578666i | ||||
\(565\) | 7.28766 | + | 30.3541i | 0.306594 | + | 1.27701i | ||||
\(566\) | 11.5320 | + | 15.8724i | 0.484726 | + | 0.667168i | ||||
\(567\) | −0.743793 | + | 6.08527i | −0.0312364 | + | 0.255557i | ||||
\(568\) | 21.3636 | + | 21.3636i | 0.896397 | + | 0.896397i | ||||
\(569\) | −29.0875 | − | 9.45111i | −1.21941 | − | 0.396211i | −0.372544 | − | 0.928014i | \(-0.621514\pi\) |
−0.846868 | + | 0.531804i | \(0.821514\pi\) | |||||||
\(570\) | 25.6024 | + | 6.14636i | 1.07237 | + | 0.257443i | ||||
\(571\) | −2.33913 | − | 7.19910i | −0.0978895 | − | 0.301273i | 0.890106 | − | 0.455753i | \(-0.150630\pi\) |
−0.987996 | + | 0.154480i | \(0.950630\pi\) | |||||||
\(572\) | −32.6315 | + | 64.0430i | −1.36439 | + | 2.67777i | ||||
\(573\) | −31.0715 | + | 4.92124i | −1.29803 | + | 0.205588i | ||||
\(574\) | 25.8400 | + | 17.4087i | 1.07854 | + | 0.726625i | ||||
\(575\) | −15.7649 | − | 11.4534i | −0.657440 | − | 0.477641i | ||||
\(576\) | −66.8882 | −2.78701 | ||||||||
\(577\) | 2.97088 | + | 18.7574i | 0.123679 | + | 0.780881i | 0.969080 | + | 0.246748i | \(0.0793619\pi\) |
−0.845400 | + | 0.534133i | \(0.820638\pi\) | |||||||
\(578\) | 17.6973 | − | 34.7329i | 0.736110 | − | 1.44470i | ||||
\(579\) | 15.4241 | + | 47.4704i | 0.641003 | + | 1.97280i | ||||
\(580\) | −18.2474 | − | 11.1818i | −0.757681 | − | 0.464299i | ||||
\(581\) | 10.1973 | + | 13.0372i | 0.423054 | + | 0.540873i | ||||
\(582\) | 71.3000 | − | 71.3000i | 2.95548 | − | 2.95548i | ||||
\(583\) | 35.0974 | − | 17.8830i | 1.45359 | − | 0.740639i | ||||
\(584\) | −37.3836 | + | 27.1608i | −1.54694 | + | 1.12392i | ||||
\(585\) | 36.2024 | + | 30.9192i | 1.49678 | + | 1.27835i | ||||
\(586\) | 21.7300 | − | 29.9088i | 0.897659 | − | 1.23552i | ||||
\(587\) | 29.0722 | + | 4.60459i | 1.19994 | + | 0.190052i | 0.724235 | − | 0.689553i | \(-0.242193\pi\) |
0.475705 | + | 0.879605i | \(0.342193\pi\) | |||||||
\(588\) | 63.5910 | − | 14.7546i | 2.62245 | − | 0.608468i | ||||
\(589\) | 4.93030 | − | 6.78598i | 0.203150 | − | 0.279611i | ||||
\(590\) | −29.9397 | − | 12.4011i | −1.23260 | − | 0.510546i | ||||
\(591\) | −21.0109 | − | 28.9190i | −0.864271 | − | 1.18957i | ||||
\(592\) | −0.226569 | − | 0.444667i | −0.00931193 | − | 0.0182757i | ||||
\(593\) | −6.33839 | + | 6.33839i | −0.260287 | + | 0.260287i | −0.825170 | − | 0.564884i | \(-0.808921\pi\) |
0.564884 | + | 0.825170i | \(0.308921\pi\) | |||||||
\(594\) | −23.7600 | + | 73.1258i | −0.974885 | + | 3.00039i | ||||
\(595\) | 0.292129 | + | 0.165064i | 0.0119761 | + | 0.00676696i | ||||
\(596\) | 1.47265 | + | 4.53234i | 0.0603220 | + | 0.185652i | ||||
\(597\) | −28.1002 | − | 14.3178i | −1.15006 | − | 0.585987i | ||||
\(598\) | −36.2629 | + | 5.74348i | −1.48290 | + | 0.234868i | ||||
\(599\) | − | 24.9376i | − | 1.01892i | −0.860494 | − | 0.509461i | \(-0.829845\pi\) | ||
0.860494 | − | 0.509461i | \(-0.170155\pi\) | |||||||
\(600\) | 29.2266 | − | 29.2276i | 1.19317 | − | 1.19321i | ||||
\(601\) | − | 36.8240i | − | 1.50208i | −0.660255 | − | 0.751041i | \(-0.729552\pi\) | ||
0.660255 | − | 0.751041i | \(-0.270448\pi\) | |||||||
\(602\) | 13.8184 | + | 6.43441i | 0.563196 | + | 0.262247i | ||||
\(603\) | −0.749708 | + | 1.47138i | −0.0305305 | + | 0.0599194i | ||||
\(604\) | −27.1066 | + | 8.80747i | −1.10295 | + | 0.358371i | ||||
\(605\) | −30.2845 | + | 25.8658i | −1.23124 | + | 1.05159i | ||||
\(606\) | −24.4689 | + | 75.3075i | −0.993980 | + | 3.05916i | ||||
\(607\) | 4.23143 | + | 4.23143i | 0.171749 | + | 0.171749i | 0.787747 | − | 0.615999i | \(-0.211247\pi\) |
−0.615999 | + | 0.787747i | \(0.711247\pi\) | |||||||
\(608\) | 4.50809 | + | 8.84762i | 0.182827 | + | 0.358818i | ||||
\(609\) | −22.2061 | + | 0.787636i | −0.899835 | + | 0.0319166i | ||||
\(610\) | 24.1111 | + | 1.89738i | 0.976229 | + | 0.0768226i | ||||
\(611\) | 0.605307 | + | 0.439782i | 0.0244881 | + | 0.0177917i | ||||
\(612\) | 0.946577 | + | 0.149923i | 0.0382631 | + | 0.00606028i | ||||
\(613\) | −26.5533 | − | 4.20564i | −1.07248 | − | 0.169864i | −0.404869 | − | 0.914375i | \(-0.632683\pi\) |
−0.667610 | + | 0.744511i | \(0.732683\pi\) | |||||||
\(614\) | 52.4721 | + | 38.1232i | 2.11760 | + | 1.53853i | ||||
\(615\) | 28.0046 | − | 17.1616i | 1.12926 | − | 0.692022i | ||||
\(616\) | 41.0129 | − | 1.45471i | 1.65246 | − | 0.0586118i | ||||
\(617\) | 7.30125 | + | 14.3295i | 0.293937 | + | 0.576885i | 0.989995 | − | 0.141101i | \(-0.0450643\pi\) |
−0.696058 | + | 0.717986i | \(0.745064\pi\) | |||||||
\(618\) | −6.74526 | − | 6.74526i | −0.271334 | − | 0.271334i | ||||
\(619\) | 5.89867 | − | 18.1542i | 0.237087 | − | 0.729680i | −0.759750 | − | 0.650215i | \(-0.774679\pi\) |
0.996838 | − | 0.0794650i | \(-0.0253212\pi\) | |||||||
\(620\) | −13.0377 | − | 31.4751i | −0.523608 | − | 1.26407i | ||||
\(621\) | −23.1502 | + | 7.52195i | −0.928985 | + | 0.301846i | ||||
\(622\) | 20.2831 | − | 39.8079i | 0.813279 | − | 1.59615i | ||||
\(623\) | 8.48680 | + | 3.95180i | 0.340016 | + | 0.158325i | ||||
\(624\) | − | 1.26451i | − | 0.0506207i | ||||||
\(625\) | −0.000850295 | − | 25.0000i | −3.40118e−5 | − | 1.00000i | ||||
\(626\) | − | 66.3829i | − | 2.65319i | ||||||
\(627\) | 27.2189 | − | 4.31105i | 1.08702 | − | 0.172167i | ||||
\(628\) | 44.0882 | + | 22.4640i | 1.75931 | + | 0.896413i | ||||
\(629\) | −0.0812793 | − | 0.250152i | −0.00324082 | − | 0.00997422i | ||||
\(630\) | 13.9831 | − | 68.9255i | 0.557101 | − | 2.74606i | ||||
\(631\) | 2.62144 | − | 8.06796i | 0.104358 | − | 0.321180i | −0.885221 | − | 0.465170i | \(-0.845993\pi\) |
0.989579 | + | 0.143990i | \(0.0459932\pi\) | |||||||
\(632\) | 14.5282 | − | 14.5282i | 0.577901 | − | 0.577901i | ||||
\(633\) | −16.5029 | − | 32.3887i | −0.655931 | − | 1.28734i | ||||
\(634\) | 13.8484 | + | 19.0606i | 0.549989 | + | 0.756995i | ||||
\(635\) | −12.2454 | − | 19.9822i | −0.485942 | − | 0.792971i | ||||
\(636\) | −40.2269 | + | 55.3675i | −1.59510 | + | 2.19547i | ||||
\(637\) | −6.49882 | − | 28.0094i | −0.257493 | − | 1.10977i | ||||
\(638\) | −35.6963 | − | 5.65373i | −1.41323 | − | 0.223833i | ||||
\(639\) | 31.8534 | − | 43.8424i | 1.26010 | − | 1.73438i | ||||
\(640\) | 41.3075 | + | 3.25062i | 1.63282 | + | 0.128492i | ||||
\(641\) | 10.6927 | − | 7.76870i | 0.422336 | − | 0.306845i | −0.356241 | − | 0.934394i | \(-0.615942\pi\) |
0.778577 | + | 0.627549i | \(0.215942\pi\) | |||||||
\(642\) | −43.8902 | + | 22.3632i | −1.73221 | + | 0.882604i | ||||
\(643\) | −3.32589 | + | 3.32589i | −0.131160 | + | 0.131160i | −0.769639 | − | 0.638479i | \(-0.779564\pi\) |
0.638479 | + | 0.769639i | \(0.279564\pi\) | |||||||
\(644\) | 20.7095 | + | 26.4771i | 0.816071 | + | 1.04334i | ||||
\(645\) | 12.2186 | − | 10.4359i | 0.481108 | − | 0.410912i | ||||
\(646\) | −0.0721417 | − | 0.222029i | −0.00283838 | − | 0.00873563i | ||||
\(647\) | −9.80554 | + | 19.2445i | −0.385496 | + | 0.756578i | −0.999463 | − | 0.0327531i | \(-0.989572\pi\) |
0.613968 | + | 0.789331i | \(0.289572\pi\) | |||||||
\(648\) | −1.04749 | − | 6.61357i | −0.0411491 | − | 0.259805i | ||||
\(649\) | −33.9182 | −1.33141 | ||||||||
\(650\) | −33.3079 | − | 33.3068i | −1.30644 | − | 1.30640i | ||||
\(651\) | −29.3359 | − | 19.7640i | −1.14977 | − | 0.774611i | ||||
\(652\) | −79.9453 | + | 12.6621i | −3.13090 | + | 0.495886i | ||||
\(653\) | −2.68139 | + | 5.26252i | −0.104931 | + | 0.205938i | −0.937502 | − | 0.347980i | \(-0.886868\pi\) |
0.832571 | + | 0.553918i | \(0.186868\pi\) | |||||||
\(654\) | −11.3265 | − | 34.8595i | −0.442903 | − | 1.36312i | ||||
\(655\) | 0.931115 | + | 11.8296i | 0.0363817 | + | 0.462223i | ||||
\(656\) | −0.525515 | − | 0.170750i | −0.0205179 | − | 0.00666667i | ||||
\(657\) | 58.6078 | + | 58.6078i | 2.28651 | + | 2.28651i | ||||
\(658\) | 0.134097 | − | 1.09710i | 0.00522766 | − | 0.0427696i | ||||
\(659\) | −4.96825 | − | 6.83821i | −0.193536 | − | 0.266379i | 0.701210 | − | 0.712954i | \(-0.252643\pi\) |
−0.894746 | + | 0.446576i | \(0.852643\pi\) | |||||||
\(660\) | 42.8331 | − | 103.411i | 1.66728 | − | 4.02526i | ||||
\(661\) | −20.7537 | + | 28.5651i | −0.807227 | + | 1.11105i | 0.184518 | + | 0.982829i | \(0.440928\pi\) |
−0.991745 | + | 0.128224i | \(0.959072\pi\) | |||||||
\(662\) | −0.0482921 | + | 0.304904i | −0.00187692 | + | 0.0118504i | ||||
\(663\) | 0.104255 | − | 0.658240i | 0.00404893 | − | 0.0255639i | ||||
\(664\) | −14.6255 | − | 10.6260i | −0.567579 | − | 0.412370i | ||||
\(665\) | −10.2301 | + | 2.84320i | −0.396708 | + | 0.110255i | ||||
\(666\) | −44.6019 | + | 32.4052i | −1.72829 | + | 1.25567i | ||||
\(667\) | −5.19438 | − | 10.1945i | −0.201127 | − | 0.394734i | ||||
\(668\) | 21.9223 | − | 21.9223i | 0.848201 | − | 0.848201i | ||||
\(669\) | 12.7501 | + | 4.14276i | 0.492947 | + | 0.160168i | ||||
\(670\) | 0.853672 | − | 1.39309i | 0.0329802 | − | 0.0538199i | ||||
\(671\) | 24.0750 | − | 7.82244i | 0.929405 | − | 0.301982i | ||||
\(672\) | 36.6137 | − | 20.3215i | 1.41240 | − | 0.783920i | ||||
\(673\) | −4.34533 | − | 27.4353i | −0.167500 | − | 1.05755i | −0.917970 | − | 0.396650i | \(-0.870173\pi\) |
0.750470 | − | 0.660905i | \(-0.229827\pi\) | |||||||
\(674\) | 76.8453i | 2.95997i | ||||||||
\(675\) | −25.2653 | − | 18.3556i | −0.972461 | − | 0.706509i | ||||
\(676\) | −12.6250 | −0.485577 | ||||||||
\(677\) | −3.99765 | − | 25.2402i | −0.153642 | − | 0.970059i | −0.937213 | − | 0.348757i | \(-0.886604\pi\) |
0.783571 | − | 0.621302i | \(-0.213396\pi\) | |||||||
\(678\) | −81.6097 | − | 41.5822i | −3.13420 | − | 1.59696i | ||||
\(679\) | −11.1867 | + | 39.0935i | −0.429306 | + | 1.50027i | ||||
\(680\) | −0.356360 | − | 0.0855512i | −0.0136658 | − | 0.00328074i | ||||
\(681\) | 23.9373 | − | 73.6715i | 0.917280 | − | 2.82310i | ||||
\(682\) | −40.6826 | − | 40.6826i | −1.55782 | − | 1.55782i | ||||
\(683\) | −14.7319 | + | 7.50627i | −0.563700 | + | 0.287220i | −0.712528 | − | 0.701644i | \(-0.752450\pi\) |
0.148828 | + | 0.988863i | \(0.452450\pi\) | |||||||
\(684\) | −24.5353 | + | 17.8259i | −0.938131 | + | 0.681592i | ||||
\(685\) | 10.7393 | − | 2.57836i | 0.410326 | − | 0.0985142i | ||||
\(686\) | −31.5188 | + | 28.4736i | −1.20339 | + | 1.08713i | ||||
\(687\) | 0.982100 | − | 6.20074i | 0.0374695 | − | 0.236573i | ||||
\(688\) | −0.267000 | − | 0.0422887i | −0.0101793 | − | 0.00161224i | ||||
\(689\) | 24.3873 | + | 17.7184i | 0.929082 | + | 0.675018i | ||||
\(690\) | 55.5945 | − | 13.3476i | 2.11645 | − | 0.508133i | ||||
\(691\) | −22.2601 | − | 30.6384i | −0.846815 | − | 1.16554i | −0.984556 | − | 0.175072i | \(-0.943984\pi\) |
0.137741 | − | 0.990468i | \(-0.456016\pi\) | |||||||
\(692\) | −13.2492 | + | 6.75079i | −0.503658 | + | 0.256626i | ||||
\(693\) | −14.0852 | − | 72.2505i | −0.535051 | − | 2.74457i | ||||
\(694\) | −22.6159 | − | 7.34835i | −0.858488 | − | 0.278940i | ||||
\(695\) | −5.75932 | + | 23.9902i | −0.218463 | + | 0.910000i | ||||
\(696\) | 23.0816 | − | 7.49967i | 0.874906 | − | 0.284274i | ||||
\(697\) | −0.259480 | − | 0.132211i | −0.00982849 | − | 0.00500787i | ||||
\(698\) | 74.9830 | − | 11.8761i | 2.83815 | − | 0.449518i | ||||
\(699\) | −29.7555 | −1.12546 | ||||||||
\(700\) | −11.8637 | + | 41.4619i | −0.448404 | + | 1.56711i | ||||
\(701\) | 14.8175 | 0.559649 | 0.279824 | − | 0.960051i | \(-0.409724\pi\) | ||||
0.279824 | + | 0.960051i | \(0.409724\pi\) | |||||||
\(702\) | −58.1161 | + | 9.20468i | −2.19345 | + | 0.347408i | ||||
\(703\) | 7.41612 | + | 3.77870i | 0.279704 | + | 0.142516i | ||||
\(704\) | 65.8757 | − | 21.4043i | 2.48278 | − | 0.806705i | ||||
\(705\) | −0.993448 | − | 0.608774i | −0.0374154 | − | 0.0229278i | ||||
\(706\) | −66.3155 | − | 21.5472i | −2.49582 | − | 0.810940i | ||||
\(707\) | −6.11003 | − | 31.3417i | −0.229791 | − | 1.17872i | ||||
\(708\) | 52.5070 | − | 26.7536i | 1.97333 | − | 1.00546i | ||||
\(709\) | 0.625238 | + | 0.860567i | 0.0234813 | + | 0.0323193i | 0.820596 | − | 0.571508i | \(-0.193642\pi\) |
−0.797115 | + | 0.603828i | \(0.793642\pi\) | |||||||
\(710\) | −34.8212 | + | 40.7711i | −1.30682 | + | 1.53011i | ||||
\(711\) | −29.8148 | − | 21.6617i | −1.11814 | − | 0.812378i | ||||
\(712\) | −10.0993 | − | 1.59958i | −0.378488 | − | 0.0599467i | ||||
\(713\) | 2.84931 | − | 17.9899i | 0.106708 | − | 0.673725i | ||||
\(714\) | −0.924940 | + | 0.337225i | −0.0346150 | + | 0.0126203i | ||||
\(715\) | −45.5485 | − | 18.8664i | −1.70342 | − | 0.705562i | ||||
\(716\) | 5.01902 | − | 3.64653i | 0.187570 | − | 0.136277i | ||||
\(717\) | −46.3572 | + | 23.6202i | −1.73124 | + | 0.882111i | ||||
\(718\) | 32.3526 | + | 32.3526i | 1.20739 | + | 1.20739i | ||||
\(719\) | −4.35217 | + | 13.3946i | −0.162309 | + | 0.499535i | −0.998828 | − | 0.0484027i | \(-0.984587\pi\) |
0.836519 | + | 0.547938i | \(0.184587\pi\) | |||||||
\(720\) | 0.0978699 | + | 1.24342i | 0.00364740 | + | 0.0463395i | ||||
\(721\) | 3.69840 | + | 1.05831i | 0.137736 | + | 0.0394134i | ||||
\(722\) | −32.2441 | − | 16.4292i | −1.20000 | − | 0.611430i | ||||
\(723\) | 4.99147 | + | 31.5149i | 0.185635 | + | 1.17205i | ||||
\(724\) | 57.5269 | 2.13797 | ||||||||
\(725\) | 6.66395 | − | 13.0793i | 0.247493 | − | 0.485753i | ||||
\(726\) | − | 116.856i | − | 4.33694i | ||||||
\(727\) | 7.48439 | + | 47.2546i | 0.277581 | + | 1.75258i | 0.594474 | + | 0.804115i | \(0.297360\pi\) |
−0.316893 | + | 0.948461i | \(0.602640\pi\) | |||||||
\(728\) | 15.2407 | + | 27.4595i | 0.564859 | + | 1.01772i | ||||
\(729\) | 39.5555 | − | 12.8524i | 1.46502 | − | 0.476013i | ||||
\(730\) | −53.2581 | − | 62.3561i | −1.97117 | − | 2.30790i | ||||
\(731\) | −0.135501 | − | 0.0440269i | −0.00501168 | − | 0.00162839i | ||||
\(732\) | −31.0991 | + | 31.0991i | −1.14946 | + | 1.14946i | ||||
\(733\) | 4.62099 | + | 9.06920i | 0.170680 | + | 0.334979i | 0.960463 | − | 0.278408i | \(-0.0898068\pi\) |
−0.789783 | + | 0.613387i | \(0.789807\pi\) | |||||||
\(734\) | −31.6452 | + | 22.9916i | −1.16805 | + | 0.848635i | ||||
\(735\) | 13.5117 | + | 42.6891i | 0.498385 | + | 1.57461i | ||||
\(736\) | 17.4444 | + | 12.6741i | 0.643009 | + | 0.467173i | ||||
\(737\) | 0.267514 | − | 1.68902i | 0.00985401 | − | 0.0622158i | ||||
\(738\) | −9.54888 | + | 60.2893i | −0.351499 | + | 2.21928i | ||||
\(739\) | −14.7151 | + | 20.2536i | −0.541305 | + | 0.745042i | −0.988800 | − | 0.149244i | \(-0.952316\pi\) |
0.447496 | + | 0.894286i | \(0.352316\pi\) | |||||||
\(740\) | 28.8242 | − | 17.6638i | 1.05960 | − | 0.649336i | ||||
\(741\) | 12.3960 | + | 17.0616i | 0.455378 | + | 0.626774i | ||||
\(742\) | 5.40266 | − | 44.2014i | 0.198338 | − | 1.62268i | ||||
\(743\) | 26.4566 | + | 26.4566i | 0.970599 | + | 0.970599i | 0.999580 | − | 0.0289813i | \(-0.00922634\pi\) |
−0.0289813 | + | 0.999580i | \(0.509226\pi\) | |||||||
\(744\) | 36.7441 | + | 11.9389i | 1.34710 | + | 0.437700i | ||||
\(745\) | −3.01993 | + | 1.25093i | −0.110642 | + | 0.0458304i | ||||
\(746\) | −9.73026 | − | 29.9467i | −0.356250 | − | 1.09643i | ||||
\(747\) | −14.7213 | + | 28.8922i | −0.538624 | + | 1.05711i | ||||
\(748\) | −0.980223 | + | 0.155252i | −0.0358405 | + | 0.00567658i | ||||
\(749\) | 11.0990 | − | 16.4745i | 0.405550 | − | 0.601964i | ||||
\(750\) | 55.7787 | + | 47.6371i | 2.03675 | + | 1.73946i | ||||
\(751\) | −21.6815 | −0.791168 | −0.395584 | − | 0.918430i | \(-0.629458\pi\) | ||||
−0.395584 | + | 0.918430i | \(0.629458\pi\) | |||||||
\(752\) | 0.00306635 | + | 0.0193602i | 0.000111818 | + | 0.000705992i | ||||
\(753\) | −5.54989 | + | 10.8923i | −0.202249 | + | 0.396936i | ||||
\(754\) | −8.54667 | − | 26.3040i | −0.311251 | − | 0.957934i | ||||
\(755\) | −7.48143 | − | 18.0613i | −0.272277 | − | 0.657319i | ||||
\(756\) | 33.1898 | + | 42.4330i | 1.20710 | + | 1.54327i | ||||
\(757\) | 33.5839 | − | 33.5839i | 1.22063 | − | 1.22063i | 0.253218 | − | 0.967409i | \(-0.418511\pi\) |
0.967409 | − | 0.253218i | \(-0.0814890\pi\) | |||||||
\(758\) | −31.2574 | + | 15.9264i | −1.13532 | + | 0.578474i | ||||
\(759\) | 48.4129 | − | 35.1740i | 1.75728 | − | 1.27674i | ||||
\(760\) | 9.88821 | − | 6.05962i | 0.358683 | − | 0.219805i | ||||
\(761\) | −12.0369 | + | 16.5674i | −0.436339 | + | 0.600569i | −0.969394 | − | 0.245512i | \(-0.921044\pi\) |
0.533055 | + | 0.846081i | \(0.321044\pi\) | |||||||
\(762\) | 67.9163 | + | 10.7569i | 2.46035 | + | 0.389681i | ||||
\(763\) | 10.8157 | + | 10.0747i | 0.391555 | + | 0.364730i | ||||
\(764\) | −21.0723 | + | 29.0036i | −0.762371 | + | 1.04931i | ||||
\(765\) | −0.0515703 | + | 0.655333i | −0.00186453 | + | 0.0236936i | ||||
\(766\) | −2.48810 | − | 3.42458i | −0.0898988 | − | 0.123735i | ||||
\(767\) | −11.7840 | − | 23.1273i | −0.425494 | − | 0.835080i | ||||
\(768\) | −33.7605 | + | 33.7605i | −1.21823 | + | 1.21823i | ||||
\(769\) | 5.82407 | − | 17.9246i | 0.210021 | − | 0.646379i | −0.789448 | − | 0.613817i | \(-0.789633\pi\) |
0.999470 | − | 0.0325622i | \(-0.0103667\pi\) | |||||||
\(770\) | 8.28480 | + | 72.3568i | 0.298564 | + | 2.60756i | ||||
\(771\) | 16.2325 | + | 49.9584i | 0.584598 | + | 1.79921i | ||||
\(772\) | 50.6815 | + | 25.8235i | 1.82407 | + | 0.929409i | ||||
\(773\) | 20.1452 | − | 3.19069i | 0.724574 | − | 0.114761i | 0.216756 | − | 0.976226i | \(-0.430452\pi\) |
0.507818 | + | 0.861465i | \(0.330452\pi\) | |||||||
\(774\) | 29.8630i | 1.07340i | ||||||||
\(775\) | 20.8208 | − | 10.6092i | 0.747906 | − | 0.381093i | ||||
\(776\) | − | 44.4130i | − | 1.59433i | ||||||
\(777\) | 14.8164 | − | 31.8194i | 0.531536 | − | 1.14152i | ||||
\(778\) | −32.1030 | + | 63.0058i | −1.15095 | + | 2.25887i | ||||
\(779\) | 8.76449 | − | 2.84775i | 0.314020 | − | 0.102031i | ||||
\(780\) | 85.3925 | − | 6.72127i | 3.05754 | − | 0.240660i | ||||
\(781\) | −17.3416 | + | 53.3718i | −0.620530 | + | 1.90979i | ||||
\(782\) | −0.358461 | − | 0.358461i | −0.0128185 | − | 0.0128185i | ||||
\(783\) | −8.32467 | − | 16.3381i | −0.297500 | − | 0.583876i | ||||
\(784\) | 0.398481 | − | 0.639261i | 0.0142315 | − | 0.0228308i | ||||
\(785\) | −12.9879 | + | 31.3563i | −0.463558 | + | 1.11915i | ||||
\(786\) | −28.1672 | − | 20.4647i | −1.00469 | − | 0.729952i | ||||
\(787\) | −23.6819 | − | 3.75084i | −0.844168 | − | 0.133703i | −0.280653 | − | 0.959809i | \(-0.590551\pi\) |
−0.563514 | + | 0.826106i | \(0.690551\pi\) | |||||||
\(788\) | −40.2344 | − | 6.37250i | −1.43329 | − | 0.227011i | ||||
\(789\) | 17.1301 | + | 12.4457i | 0.609847 | + | 0.443080i | ||||
\(790\) | 27.7261 | + | 23.6800i | 0.986452 | + | 0.842495i | ||||
\(791\) | 36.9129 | − | 1.30928i | 1.31247 | − | 0.0465526i | ||||
\(792\) | 36.5009 | + | 71.6370i | 1.29700 | + | 2.54551i | ||||
\(793\) | 13.6980 | + | 13.6980i | 0.486430 | + | 0.486430i | ||||
\(794\) | −14.3867 | + | 44.2779i | −0.510567 | + | 1.57136i | ||||
\(795\) | −40.0251 | − | 24.5270i | −1.41954 | − | 0.869882i | ||||
\(796\) | −34.1812 | + | 11.1061i | −1.21152 | + | 0.393647i | ||||
\(797\) | 7.21547 | − | 14.1612i | 0.255585 | − | 0.501614i | −0.727186 | − | 0.686440i | \(-0.759172\pi\) |
0.982771 | + | 0.184826i | \(0.0591723\pi\) | |||||||
\(798\) | 13.1507 | − | 28.2422i | 0.465531 | − | 0.999764i | ||||
\(799\) | 0.0103308i | 0.000365476i | ||||||||
\(800\) | 0.000470447 | 27.6638i | 1.66328e−5 | 0.978061i | ||||||
\(801\) | 18.3409i | 0.648042i | ||||||||
\(802\) | −35.4333 | + | 5.61208i | −1.25119 | + | 0.198170i | ||||
\(803\) | −76.4751 | − | 38.9660i | −2.69875 | − | 1.37508i | ||||
\(804\) | 0.918121 | + | 2.82569i | 0.0323796 | + | 0.0996543i | ||||
\(805\) | −16.9903 | + | 15.5861i | −0.598829 | + | 0.549339i | ||||
\(806\) | 13.6056 | − | 41.8738i | 0.479237 | − | 1.47494i | ||||
\(807\) | −61.4933 | + | 61.4933i | −2.16467 | + | 2.16467i | ||||
\(808\) | 15.8338 | + | 31.0755i | 0.557030 | + | 1.09323i | ||||
\(809\) | 2.34198 | + | 3.22346i | 0.0823395 | + | 0.113331i | 0.848200 | − | 0.529676i | \(-0.177687\pi\) |
−0.765860 | + | 0.643007i | \(0.777687\pi\) | |||||||
\(810\) | 11.5547 | − | 2.77415i | 0.405992 | − | 0.0974737i | ||||
\(811\) | −15.2527 | + | 20.9936i | −0.535596 | + | 0.737184i | −0.987970 | − | 0.154644i | \(-0.950577\pi\) |
0.452375 | + | 0.891828i | \(0.350577\pi\) | |||||||
\(812\) | −17.2594 | + | 18.5287i | −0.605685 | + | 0.650231i | ||||
\(813\) | −34.1392 | − | 5.40712i | −1.19731 | − | 0.189636i | ||||
\(814\) | 33.5570 | − | 46.1873i | 1.17617 | − | 1.61886i | ||||
\(815\) | −12.9611 | − | 53.9847i | −0.454006 | − | 1.89100i | ||||
\(816\) | 0.0141251 | − | 0.0102625i | 0.000494479 | − | 0.000359260i | ||||
\(817\) | 4.01712 | − | 2.04682i | 0.140541 | − | 0.0716093i | ||||
\(818\) | −6.52074 | + | 6.52074i | −0.227992 | + | 0.227992i | ||||
\(819\) | 44.3709 | − | 34.7056i | 1.55045 | − | 1.21271i | ||||
\(820\) | 8.73753 | − | 36.3958i | 0.305128 | − | 1.27100i | ||||
\(821\) | −11.1428 | − | 34.2941i | −0.388887 | − | 1.19687i | −0.933621 | − | 0.358262i | \(-0.883369\pi\) |
0.544734 | − | 0.838609i | \(-0.316631\pi\) | |||||||
\(822\) | −14.7117 | + | 28.8734i | −0.513131 | + | 1.00708i | ||||
\(823\) | −5.88359 | − | 37.1475i | −0.205089 | − | 1.29488i | −0.848433 | − | 0.529303i | \(-0.822453\pi\) |
0.643344 | − | 0.765577i | \(-0.277547\pi\) | |||||||
\(824\) | −4.20165 | −0.146371 | ||||||||
\(825\) | 73.0172 | + | 23.7233i | 2.54213 | + | 0.825941i | ||||
\(826\) | −21.4241 | + | 31.8001i | −0.745441 | + | 1.10647i | ||||
\(827\) | 26.5100 | − | 4.19877i | 0.921843 | − | 0.146006i | 0.322566 | − | 0.946547i | \(-0.395455\pi\) |
0.599277 | + | 0.800542i | \(0.295455\pi\) | |||||||
\(828\) | −29.8974 | + | 58.6769i | −1.03901 | + | 2.03916i | ||||
\(829\) | −11.9948 | − | 36.9162i | −0.416596 | − | 1.28215i | −0.910815 | − | 0.412814i | \(-0.864546\pi\) |
0.494219 | − | 0.869338i | \(-0.335454\pi\) | |||||||
\(830\) | 16.7627 | − | 27.3548i | 0.581843 | − | 0.949500i | ||||
\(831\) | −7.12941 | − | 2.31649i | −0.247317 | − | 0.0803580i | ||||
\(832\) | 37.4814 | + | 37.4814i | 1.29943 | + | 1.29943i | ||||
\(833\) | 0.260135 | − | 0.299915i | 0.00901316 | − | 0.0103914i | ||||
\(834\) | −42.5494 | − | 58.5643i | −1.47337 | − | 2.02792i | ||||
\(835\) | 16.1703 | + | 13.8105i | 0.559596 | + | 0.477932i | ||||
\(836\) | 18.4596 | − | 25.4074i | 0.638438 | − | 0.878734i | ||||
\(837\) | 4.56640 | − | 28.8311i | 0.157838 | − | 0.996549i | ||||
\(838\) | −13.6365 | + | 86.0973i | −0.471064 | + | 2.97418i | ||||
\(839\) | 21.8117 | + | 15.8471i | 0.753022 | + | 0.547102i | 0.896762 | − | 0.442513i | \(-0.145913\pi\) |
−0.143740 | + | 0.989615i | \(0.545913\pi\) | |||||||
\(840\) | −27.0159 | − | 40.7672i | −0.932136 | − | 1.40660i | ||||
\(841\) | −16.4885 | + | 11.9796i | −0.568570 | + | 0.413091i | ||||
\(842\) | 34.8155 | + | 68.3293i | 1.19982 | + | 2.35478i | ||||
\(843\) | −34.1007 | + | 34.1007i | −1.17449 | + | 1.17449i | ||||
\(844\) | −39.3978 | − | 12.8011i | −1.35613 | − | 0.440632i | ||||
\(845\) | −0.679498 | − | 8.63291i | −0.0233755 | − | 0.296981i | ||||
\(846\) | 2.05938 | − | 0.669134i | 0.0708030 | − | 0.0230053i | ||||
\(847\) | 22.8687 | + | 41.2030i | 0.785778 | + | 1.41575i | ||||
\(848\) | 0.123540 | + | 0.780003i | 0.00424239 | + | 0.0267854i | ||||
\(849\) | − | 24.4714i | − | 0.839856i | ||||||
\(850\) | 0.101731 | − | 0.642378i | 0.00348936 | − | 0.0220334i | ||||
\(851\) | 18.0738 | 0.619560 | ||||||||
\(852\) | −15.2525 | − | 96.3006i | −0.522543 | − | 3.29920i | ||||
\(853\) | 29.9423 | + | 15.2564i | 1.02521 | + | 0.522368i | 0.883939 | − | 0.467603i | \(-0.154882\pi\) |
0.141267 | + | 0.989971i | \(0.454882\pi\) | |||||||
\(854\) | 7.87279 | − | 27.5126i | 0.269401 | − | 0.941461i | ||||
\(855\) | −13.5098 | − | 15.8177i | −0.462026 | − | 0.540954i | ||||
\(856\) | −6.70463 | + | 20.6347i | −0.229160 | + | 0.705281i | ||||
\(857\) | −15.3250 | − | 15.3250i | −0.523492 | − | 0.523492i | 0.395132 | − | 0.918624i | \(-0.370699\pi\) |
−0.918624 | + | 0.395132i | \(0.870699\pi\) | |||||||
\(858\) | 128.888 | − | 65.6717i | 4.40016 | − | 2.24199i | ||||
\(859\) | 1.28743 | − | 0.935370i | 0.0439264 | − | 0.0319144i | −0.565605 | − | 0.824676i | \(-0.691357\pi\) |
0.609532 | + | 0.792762i | \(0.291357\pi\) | |||||||
\(860\) | 1.43658 | − | 18.2554i | 0.0489868 | − | 0.622504i | ||||
\(861\) | −13.3118 | − | 36.5115i | −0.453664 | − | 1.24431i | ||||
\(862\) | −9.87668 | + | 62.3589i | −0.336401 | + | 2.12395i | ||||
\(863\) | 48.5993 | + | 7.69737i | 1.65434 | + | 0.262022i | 0.912656 | − | 0.408729i | \(-0.134028\pi\) |
0.741683 | + | 0.670750i | \(0.234028\pi\) | |||||||
\(864\) | 27.9569 | + | 20.3119i | 0.951115 | + | 0.691025i | ||||
\(865\) | −5.32925 | − | 8.69637i | −0.181200 | − | 0.295686i | ||||
\(866\) | 24.7982 | + | 34.1317i | 0.842676 | + | 1.15984i | ||||
\(867\) | −43.3225 | + | 22.0739i | −1.47131 | + | 0.749669i | ||||
\(868\) | −39.5656 | + | 7.71328i | −1.34294 | + | 0.261806i | ||||
\(869\) | 36.2952 | + | 11.7930i | 1.23123 | + | 0.400051i | ||||
\(870\) | 16.4825 | + | 39.7912i | 0.558808 | + | 1.34905i | ||||
\(871\) | 1.24461 | − | 0.404398i | 0.0421719 | − | 0.0137025i | ||||
\(872\) | −14.3847 | − | 7.32939i | −0.487129 | − | 0.248204i | ||||
\(873\) | −78.6823 | + | 12.4621i | −2.66299 | + | 0.421777i | ||||
\(874\) | 16.0419 | 0.542624 | ||||||||
\(875\) | −28.9899 | − | 5.88076i | −0.980039 | − | 0.198806i | ||||
\(876\) | 149.122 | 5.03838 | ||||||||
\(877\) | 54.0963 | − | 8.56801i | 1.82670 | − | 0.289321i | 0.853810 | − | 0.520585i | \(-0.174286\pi\) |
0.972891 | + | 0.231264i | \(0.0742861\pi\) | |||||||
\(878\) | 7.97096 | + | 4.06141i | 0.269007 | + | 0.137066i | ||||
\(879\) | −43.8551 | + | 14.2494i | −1.47920 | + | 0.480620i | ||||
\(880\) | −0.494284 | − | 1.19328i | −0.0166623 | − | 0.0402254i | ||||
\(881\) | 35.4735 | + | 11.5260i | 1.19513 | + | 0.388322i | 0.837968 | − | 0.545719i | \(-0.183743\pi\) |
0.357165 | + | 0.934041i | \(0.383743\pi\) | |||||||
\(882\) | −76.6355 | − | 32.4308i | −2.58045 | − | 1.09200i | ||||
\(883\) | 18.4308 | − | 9.39096i | 0.620245 | − | 0.316031i | −0.115481 | − | 0.993310i | \(-0.536841\pi\) |
0.735726 | + | 0.677279i | \(0.236841\pi\) | |||||||
\(884\) | −0.446412 | − | 0.614433i | −0.0150144 | − | 0.0206656i | ||||
\(885\) | 21.1200 | + | 34.4641i | 0.709942 | + | 1.15850i | ||||
\(886\) | 28.9872 | + | 21.0604i | 0.973843 | + | 0.707538i | ||||
\(887\) | −27.3441 | − | 4.33089i | −0.918126 | − | 0.145417i | −0.320552 | − | 0.947231i | \(-0.603869\pi\) |
−0.597574 | + | 0.801814i | \(0.703869\pi\) | |||||||
\(888\) | −5.99727 | + | 37.8653i | −0.201255 | + | 1.27068i | ||||
\(889\) | −26.0521 | + | 9.49838i | −0.873761 | + | 0.318565i | ||||
\(890\) | 1.42358 | − | 18.0903i | 0.0477186 | − | 0.606388i | ||||
\(891\) | 10.0621 | − | 7.31056i | 0.337094 | − | 0.244913i | ||||
\(892\) | 13.6126 | − | 6.93595i | 0.455783 | − | 0.232233i | ||||
\(893\) | −0.231162 | − | 0.231162i | −0.00773553 | − | 0.00773553i | ||||
\(894\) | 2.96374 | − | 9.12144i | 0.0991221 | − | 0.305067i | ||||
\(895\) | 2.76361 | + | 3.23572i | 0.0923774 | + | 0.108158i | ||||
\(896\) | 13.4878 | − | 47.1350i | 0.450596 | − | 1.57467i | ||||
\(897\) | 40.8034 | + | 20.7904i | 1.36239 | + | 0.694170i | ||||
\(898\) | −6.66199 | − | 42.0622i | −0.222314 | − | 1.40363i | ||||
\(899\) | 13.7208 | 0.457615 | ||||||||
\(900\) | −83.4484 | + | 13.2184i | −2.78161 | + | 0.440613i | ||||
\(901\) | 0.416218i | 0.0138662i | ||||||||
\(902\) | −9.88830 | − | 62.4323i | −0.329244 | − | 2.07877i | ||||
\(903\) | −9.22665 | − | 16.6238i | −0.307044 | − | 0.553207i | ||||
\(904\) | −38.3683 | + | 12.4666i | −1.27611 | + | 0.414634i | ||||
\(905\) | 3.09620 | + | 39.3366i | 0.102921 | + | 1.30759i | ||||
\(906\) | 54.5527 | + | 17.7252i | 1.81239 | + | 0.588882i | ||||
\(907\) | −16.0029 | + | 16.0029i | −0.531366 | + | 0.531366i | −0.920979 | − | 0.389613i | \(-0.872609\pi\) |
0.389613 | + | 0.920979i | \(0.372609\pi\) | |||||||
\(908\) | −40.0767 | − | 78.6550i | −1.32999 | − | 2.61026i | ||||
\(909\) | 50.6106 | − | 36.7708i | 1.67865 | − | 1.21961i | ||||
\(910\) | −46.4586 | + | 30.7874i | −1.54009 | + | 1.02059i | ||||
\(911\) | −10.9211 | − | 7.93464i | −0.361832 | − | 0.262886i | 0.391984 | − | 0.919972i | \(-0.371789\pi\) |
−0.753816 | + | 0.657086i | \(0.771789\pi\) | |||||||
\(912\) | −0.0864302 | + | 0.545699i | −0.00286199 | + | 0.0180699i | ||||
\(913\) | 5.25292 | − | 33.1656i | 0.173846 | − | 1.09762i | ||||
\(914\) | 1.30568 | − | 1.79711i | 0.0431879 | − | 0.0594431i | ||||
\(915\) | −22.9392 | − | 19.5916i | −0.758348 | − | 0.647679i | ||||
\(916\) | −4.20527 | − | 5.78806i | −0.138946 | − | 0.191243i | ||||
\(917\) | 13.9366 | + | 1.70345i | 0.460227 | + | 0.0562528i | ||||
\(918\) | −0.574481 | − | 0.574481i | −0.0189607 | − | 0.0189607i | ||||
\(919\) | −41.4501 | − | 13.4679i | −1.36731 | − | 0.444266i | −0.468834 | − | 0.883286i | \(-0.655326\pi\) |
−0.898477 | + | 0.439020i | \(0.855326\pi\) | |||||||
\(920\) | 13.1579 | − | 21.4721i | 0.433802 | − | 0.707915i | ||||
\(921\) | −24.9992 | − | 76.9396i | −0.823751 | − | 2.53525i | ||||
\(922\) | 30.6591 | − | 60.1719i | 1.00970 | − | 1.98166i | ||||
\(923\) | −42.4168 | + | 6.71815i | −1.39616 | + | 0.221131i | ||||
\(924\) | −109.837 | − | 73.9983i | −3.61337 | − | 2.43437i | ||||
\(925\) | 13.6298 | + | 18.7592i | 0.448146 | + | 0.616797i | ||||
\(926\) | 0.207263 | 0.00681108 | ||||||||
\(927\) | 1.17896 | + | 7.44366i | 0.0387221 | + | 0.244482i | ||||
\(928\) | −7.37424 | + | 14.4728i | −0.242071 | + | 0.475092i | ||||
\(929\) | 10.5302 | + | 32.4087i | 0.345486 | + | 1.06330i | 0.961323 | + | 0.275423i | \(0.0888178\pi\) |
−0.615838 | + | 0.787873i | \(0.711182\pi\) | |||||||
\(930\) | −16.0053 | + | 66.6694i | −0.524835 | + | 2.18618i | ||||
\(931\) | 0.890104 | + | 12.5317i | 0.0291720 | + | 0.410710i | ||||
\(932\) | −23.9776 | + | 23.9776i | −0.785411 | + | 0.785411i | ||||
\(933\) | −49.6526 | + | 25.2992i | −1.62555 | + | 0.828260i | ||||
\(934\) | 46.6849 | − | 33.9186i | 1.52758 | − | 1.10985i | ||||
\(935\) | −0.158918 | − | 0.661916i | −0.00519717 | − | 0.0216470i | ||||
\(936\) | −36.1649 | + | 49.7766i | −1.18209 | + | 1.62700i | ||||
\(937\) | 6.94271 | + | 1.09962i | 0.226808 | + | 0.0359229i | 0.268804 | − | 0.963195i | \(-0.413372\pi\) |
−0.0419957 | + | 0.999118i | \(0.513372\pi\) | |||||||
\(938\) | −1.41457 | − | 1.31766i | −0.0461874 | − | 0.0430232i | ||||
\(939\) | −48.6685 | + | 66.9864i | −1.58824 | + | 2.18602i | ||||
\(940\) | −1.29110 | + | 0.309977i | −0.0421110 | + | 0.0101103i | ||||
\(941\) | 2.95089 | + | 4.06155i | 0.0961962 | + | 0.132403i | 0.854402 | − | 0.519613i | \(-0.173924\pi\) |
−0.758206 | + | 0.652015i | \(0.773924\pi\) | |||||||
\(942\) | −45.2094 | − | 88.7284i | −1.47300 | − | 2.89093i | ||||
\(943\) | 14.1501 | − | 14.1501i | 0.460789 | − | 0.460789i | ||||
\(944\) | 0.210135 | − | 0.646728i | 0.00683930 | − | 0.0210492i | ||||
\(945\) | −27.2292 | + | 24.9788i | −0.885765 | + | 0.812561i | ||||
\(946\) | −9.55619 | − | 29.4109i | −0.310699 | − | 0.956232i | ||||
\(947\) | −30.3622 | − | 15.4703i | −0.986638 | − | 0.502717i | −0.115263 | − | 0.993335i | \(-0.536771\pi\) |
−0.871375 | + | 0.490618i | \(0.836771\pi\) | |||||||
\(948\) | −65.4887 | + | 10.3724i | −2.12697 | + | 0.336880i | ||||
\(949\) | − | 65.6827i | − | 2.13215i | ||||||
\(950\) | 12.0975 | + | 16.6502i | 0.392495 | + | 0.540204i | ||||
\(951\) | − | 29.3868i | − | 0.952933i | ||||||
\(952\) | −0.183045 | + | 0.393103i | −0.00593252 | + | 0.0127406i | ||||
\(953\) | −12.6149 | + | 24.7581i | −0.408636 | + | 0.801993i | −0.999990 | − | 0.00441907i | \(-0.998593\pi\) |
0.591355 | + | 0.806412i | \(0.298593\pi\) | |||||||
\(954\) | 82.9706 | − | 26.9588i | 2.68627 | − | 0.872823i | ||||
\(955\) | −20.9667 | − | 12.8481i | −0.678465 | − | 0.415756i | ||||
\(956\) | −18.3219 | + | 56.3890i | −0.592573 | + | 1.82375i | ||||
\(957\) | 31.8758 | + | 31.8758i | 1.03040 | + | 1.03040i | ||||
\(958\) | −32.4364 | − | 63.6600i | −1.04797 | − | 2.05676i | ||||
\(959\) | −0.463222 | − | 13.0597i | −0.0149582 | − | 0.421721i | ||||
\(960\) | −62.7679 | − | 53.6080i | −2.02583 | − | 1.73019i | ||||
\(961\) | −7.40863 | − | 5.38268i | −0.238988 | − | 0.173635i | ||||
\(962\) | 43.1515 | + | 6.83453i | 1.39126 | + | 0.220354i | ||||
\(963\) | 38.4379 | + | 6.08796i | 1.23864 | + | 0.196182i | ||||
\(964\) | 29.4175 | + | 21.3731i | 0.947474 | + | 0.688380i | ||||
\(965\) | −14.9302 | + | 36.0457i | −0.480621 | + | 1.16035i | ||||
\(966\) | −2.39798 | − | 67.6071i | −0.0771539 | − | 2.17522i | ||||
\(967\) | 5.66458 | + | 11.1174i | 0.182161 | + | 0.357511i | 0.963972 | − | 0.266005i | \(-0.0857038\pi\) |
−0.781811 | + | 0.623516i | \(0.785704\pi\) | |||||||
\(968\) | −36.3950 | − | 36.3950i | −1.16978 | − | 1.16978i | ||||
\(969\) | −0.0899827 | + | 0.276938i | −0.00289066 | + | 0.00889654i | ||||
\(970\) | 78.5747 | − | 6.18463i | 2.52288 | − | 0.198577i | ||||
\(971\) | 56.5388 | − | 18.3706i | 1.81442 | − | 0.589540i | 0.814460 | − | 0.580220i | \(-0.197033\pi\) |
0.999957 | − | 0.00932016i | \(-0.00296674\pi\) | |||||||
\(972\) | 17.9214 | − | 35.1728i | 0.574831 | − | 1.12817i | ||||
\(973\) | 26.4638 | + | 12.3226i | 0.848390 | + | 0.395045i | ||||
\(974\) | − | 21.1331i | − | 0.677147i | ||||||
\(975\) | 9.19194 | + | 58.0292i | 0.294378 | + | 1.85842i | ||||
\(976\) | 0.507507i | 0.0162449i | ||||||||
\(977\) | 5.59602 | − | 0.886323i | 0.179033 | − | 0.0283560i | −0.0662744 | − | 0.997801i | \(-0.521111\pi\) |
0.245307 | + | 0.969445i | \(0.421111\pi\) | |||||||
\(978\) | 145.143 | + | 73.9538i | 4.64115 | + | 2.36478i | ||||
\(979\) | −5.86909 | − | 18.0632i | −0.187577 | − | 0.577303i | ||||
\(980\) | 45.2876 | + | 23.5117i | 1.44666 | + | 0.751054i | ||||
\(981\) | −8.94850 | + | 27.5406i | −0.285704 | + | 0.879305i | ||||
\(982\) | 30.3804 | − | 30.3804i | 0.969476 | − | 0.969476i | ||||
\(983\) | 16.2624 | + | 31.9168i | 0.518690 | + | 1.01799i | 0.990658 | + | 0.136371i | \(0.0435438\pi\) |
−0.471968 | + | 0.881616i | \(0.656456\pi\) | |||||||
\(984\) | 24.9497 | + | 34.3403i | 0.795366 | + | 1.09473i | ||||
\(985\) | 2.19200 | − | 27.8550i | 0.0698430 | − | 0.887535i | ||||
\(986\) | 0.224465 | − | 0.308949i | 0.00714841 | − | 0.00983894i | ||||
\(987\) | −0.939656 | + | 1.00877i | −0.0299096 | + | 0.0321094i | ||||
\(988\) | 23.7375 | + | 3.75965i | 0.755190 | + | 0.119610i | ||||
\(989\) | 5.75447 | − | 7.92034i | 0.182981 | − | 0.251852i | ||||
\(990\) | −121.656 | + | 74.5523i | −3.86648 | + | 2.36943i | ||||
\(991\) | −0.769865 | + | 0.559340i | −0.0244556 | + | 0.0177680i | −0.599946 | − | 0.800041i | \(-0.704811\pi\) |
0.575490 | + | 0.817809i | \(0.304811\pi\) | |||||||
\(992\) | −23.0395 | + | 11.7392i | −0.731504 | + | 0.372720i | ||||
\(993\) | 0.272271 | − | 0.272271i | 0.00864025 | − | 0.00864025i | ||||
\(994\) | 39.0853 | + | 49.9705i | 1.23971 | + | 1.58497i | ||||
\(995\) | −9.43401 | − | 22.7752i | −0.299078 | − | 0.722021i | ||||
\(996\) | 18.0283 | + | 55.4853i | 0.571248 | + | 1.75812i | ||||
\(997\) | 1.85833 | − | 3.64717i | 0.0588538 | − | 0.115507i | −0.859706 | − | 0.510789i | \(-0.829353\pi\) |
0.918560 | + | 0.395282i | \(0.129353\pi\) | |||||||
\(998\) | 0.383844 | + | 2.42350i | 0.0121504 | + | 0.0767144i | ||||
\(999\) | 28.9656 | 0.916430 |
(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 | 175.2.s.a.13.4 | yes | 144 | |
5.2 | odd | 4 | 875.2.s.b.832.4 | 144 | |||
5.3 | odd | 4 | 875.2.s.a.832.15 | 144 | |||
5.4 | even | 2 | 875.2.s.c.293.15 | 144 | |||
7.6 | odd | 2 | inner | 175.2.s.a.13.3 | ✓ | 144 | |
25.2 | odd | 20 | inner | 175.2.s.a.27.3 | yes | 144 | |
25.11 | even | 5 | 875.2.s.b.468.3 | 144 | |||
25.14 | even | 10 | 875.2.s.a.468.16 | 144 | |||
25.23 | odd | 20 | 875.2.s.c.657.16 | 144 | |||
35.13 | even | 4 | 875.2.s.a.832.16 | 144 | |||
35.27 | even | 4 | 875.2.s.b.832.3 | 144 | |||
35.34 | odd | 2 | 875.2.s.c.293.16 | 144 | |||
175.27 | even | 20 | inner | 175.2.s.a.27.4 | yes | 144 | |
175.48 | even | 20 | 875.2.s.c.657.15 | 144 | |||
175.111 | odd | 10 | 875.2.s.b.468.4 | 144 | |||
175.139 | odd | 10 | 875.2.s.a.468.15 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.s.a.13.3 | ✓ | 144 | 7.6 | odd | 2 | inner | |
175.2.s.a.13.4 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.s.a.27.3 | yes | 144 | 25.2 | odd | 20 | inner | |
175.2.s.a.27.4 | yes | 144 | 175.27 | even | 20 | inner | |
875.2.s.a.468.15 | 144 | 175.139 | odd | 10 | |||
875.2.s.a.468.16 | 144 | 25.14 | even | 10 | |||
875.2.s.a.832.15 | 144 | 5.3 | odd | 4 | |||
875.2.s.a.832.16 | 144 | 35.13 | even | 4 | |||
875.2.s.b.468.3 | 144 | 25.11 | even | 5 | |||
875.2.s.b.468.4 | 144 | 175.111 | odd | 10 | |||
875.2.s.b.832.3 | 144 | 35.27 | even | 4 | |||
875.2.s.b.832.4 | 144 | 5.2 | odd | 4 | |||
875.2.s.c.293.15 | 144 | 5.4 | even | 2 | |||
875.2.s.c.293.16 | 144 | 35.34 | odd | 2 | |||
875.2.s.c.657.15 | 144 | 175.48 | even | 20 | |||
875.2.s.c.657.16 | 144 | 25.23 | odd | 20 |