Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 37.20 | ||
Character | \(\chi\) | \(=\) | 392.37 |
Dual form | 392.2.z.a.53.20 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.690255 | + | 1.23432i | −0.488084 | + | 0.872797i | ||||
\(3\) | 2.22424 | + | 2.39716i | 1.28416 | + | 1.38400i | 0.883952 | + | 0.467578i | \(0.154873\pi\) |
0.400213 | + | 0.916422i | \(0.368936\pi\) | |||||||
\(4\) | −1.04710 | − | 1.70399i | −0.523548 | − | 0.851996i | ||||
\(5\) | −0.266970 | + | 0.865496i | −0.119393 | + | 0.387062i | −0.995466 | − | 0.0951160i | \(-0.969678\pi\) |
0.876074 | + | 0.482178i | \(0.160154\pi\) | |||||||
\(6\) | −4.49415 | + | 1.09077i | −1.83473 | + | 0.445306i | ||||
\(7\) | 2.06958 | + | 1.64828i | 0.782228 | + | 0.622993i | ||||
\(8\) | 2.82604 | − | 0.116261i | 0.999155 | − | 0.0411044i | ||||
\(9\) | −0.574944 | + | 7.67209i | −0.191648 | + | 2.55736i | ||||
\(10\) | −0.884022 | − | 0.926940i | −0.279552 | − | 0.293124i | ||||
\(11\) | −3.90949 | + | 0.292976i | −1.17876 | + | 0.0883355i | −0.649659 | − | 0.760226i | \(-0.725088\pi\) |
−0.529097 | + | 0.848562i | \(0.677469\pi\) | |||||||
\(12\) | 1.75575 | − | 6.30014i | 0.506842 | − | 1.81869i | ||||
\(13\) | 3.01147 | − | 6.25339i | 0.835232 | − | 1.73438i | 0.173222 | − | 0.984883i | \(-0.444582\pi\) |
0.662010 | − | 0.749495i | \(-0.269704\pi\) | |||||||
\(14\) | −3.46305 | + | 1.41679i | −0.925539 | + | 0.378653i | ||||
\(15\) | −2.66854 | + | 1.28510i | −0.689013 | + | 0.331811i | ||||
\(16\) | −1.80718 | + | 3.56849i | −0.451796 | + | 0.892121i | ||||
\(17\) | 1.60006 | + | 0.241171i | 0.388073 | + | 0.0584925i | 0.340181 | − | 0.940360i | \(-0.389512\pi\) |
0.0478916 | + | 0.998853i | \(0.484750\pi\) | |||||||
\(18\) | −9.07296 | − | 6.00537i | −2.13852 | − | 1.41548i | ||||
\(19\) | −0.834125 | − | 0.481582i | −0.191361 | − | 0.110483i | 0.401258 | − | 0.915965i | \(-0.368573\pi\) |
−0.592620 | + | 0.805482i | \(0.701906\pi\) | |||||||
\(20\) | 1.75434 | − | 0.451341i | 0.392283 | − | 0.100923i | ||||
\(21\) | 0.652040 | + | 8.62729i | 0.142287 | + | 1.88263i | ||||
\(22\) | 2.33692 | − | 5.02779i | 0.498233 | − | 1.07193i | ||||
\(23\) | −0.973933 | + | 0.146797i | −0.203079 | + | 0.0306092i | −0.249794 | − | 0.968299i | \(-0.580363\pi\) |
0.0467149 | + | 0.998908i | \(0.485125\pi\) | |||||||
\(24\) | 6.56447 | + | 6.51587i | 1.33997 | + | 1.33005i | ||||
\(25\) | 3.45338 | + | 2.35448i | 0.690677 | + | 0.470895i | ||||
\(26\) | 5.64000 | + | 8.03356i | 1.10610 | + | 1.57551i | ||||
\(27\) | −12.0000 | + | 9.56969i | −2.30940 | + | 1.84169i | ||||
\(28\) | 0.641618 | − | 5.25246i | 0.121254 | − | 0.992621i | ||||
\(29\) | −3.94882 | − | 3.14908i | −0.733277 | − | 0.584769i | 0.184044 | − | 0.982918i | \(-0.441081\pi\) |
−0.917321 | + | 0.398149i | \(0.869653\pi\) | |||||||
\(30\) | 0.255747 | − | 4.18088i | 0.0466928 | − | 0.763320i | ||||
\(31\) | 0.0366915 | + | 0.0635515i | 0.00658999 | + | 0.0114142i | 0.869302 | − | 0.494282i | \(-0.164569\pi\) |
−0.862712 | + | 0.505696i | \(0.831236\pi\) | |||||||
\(32\) | −3.15724 | − | 4.69381i | −0.558126 | − | 0.829756i | ||||
\(33\) | −9.39794 | − | 8.72002i | −1.63597 | − | 1.51796i | ||||
\(34\) | −1.40214 | + | 1.80852i | −0.240464 | + | 0.310159i | ||||
\(35\) | −1.97910 | + | 1.35117i | −0.334529 | + | 0.228389i | ||||
\(36\) | 13.6752 | − | 7.05371i | 2.27920 | − | 1.17562i | ||||
\(37\) | 7.05610 | − | 2.76932i | 1.16002 | − | 0.455273i | 0.294253 | − | 0.955727i | \(-0.404929\pi\) |
0.865763 | + | 0.500455i | \(0.166834\pi\) | |||||||
\(38\) | 1.17019 | − | 0.697163i | 0.189829 | − | 0.113095i | ||||
\(39\) | 21.6886 | − | 6.69005i | 3.47295 | − | 1.07126i | ||||
\(40\) | −0.653844 | + | 2.47696i | −0.103382 | + | 0.391642i | ||||
\(41\) | −2.10841 | − | 9.23756i | −0.329279 | − | 1.44267i | −0.820508 | − | 0.571635i | \(-0.806309\pi\) |
0.491229 | − | 0.871030i | \(-0.336548\pi\) | |||||||
\(42\) | −11.0989 | − | 5.15021i | −1.71260 | − | 0.794694i | ||||
\(43\) | −7.08223 | − | 1.61647i | −1.08003 | − | 0.246510i | −0.354749 | − | 0.934962i | \(-0.615434\pi\) |
−0.725282 | + | 0.688452i | \(0.758291\pi\) | |||||||
\(44\) | 4.59284 | + | 6.35497i | 0.692396 | + | 0.958048i | ||||
\(45\) | −6.48667 | − | 2.54583i | −0.966976 | − | 0.379510i | ||||
\(46\) | 0.491068 | − | 1.30347i | 0.0724040 | − | 0.192187i | ||||
\(47\) | 2.44941 | − | 1.66998i | 0.357284 | − | 0.243592i | −0.371354 | − | 0.928491i | \(-0.621106\pi\) |
0.728637 | + | 0.684900i | \(0.240154\pi\) | |||||||
\(48\) | −12.5738 | + | 3.60505i | −1.81488 | + | 0.520345i | ||||
\(49\) | 1.56632 | + | 6.82251i | 0.223760 | + | 0.974644i | ||||
\(50\) | −5.28990 | + | 2.63739i | −0.748104 | + | 0.372984i | ||||
\(51\) | 2.98080 | + | 4.37203i | 0.417395 | + | 0.612207i | ||||
\(52\) | −13.8090 | + | 1.41636i | −1.91497 | + | 0.196414i | ||||
\(53\) | −2.00909 | − | 0.788510i | −0.275970 | − | 0.108310i | 0.223320 | − | 0.974745i | \(-0.428310\pi\) |
−0.499290 | + | 0.866435i | \(0.666406\pi\) | |||||||
\(54\) | −3.52899 | − | 21.4174i | −0.480235 | − | 2.91454i | ||||
\(55\) | 0.790147 | − | 3.46186i | 0.106543 | − | 0.466797i | ||||
\(56\) | 6.04034 | + | 4.41750i | 0.807174 | + | 0.590313i | ||||
\(57\) | −0.700863 | − | 3.07068i | −0.0928316 | − | 0.406722i | ||||
\(58\) | 6.61266 | − | 2.70044i | 0.868285 | − | 0.354585i | ||||
\(59\) | 1.97230 | + | 6.39405i | 0.256772 | + | 0.832434i | 0.988550 | + | 0.150892i | \(0.0482145\pi\) |
−0.731778 | + | 0.681543i | \(0.761309\pi\) | |||||||
\(60\) | 4.98401 | + | 3.20155i | 0.643433 | + | 0.413318i | ||||
\(61\) | 0.464039 | − | 0.182122i | 0.0594141 | − | 0.0233183i | −0.335448 | − | 0.942059i | \(-0.608888\pi\) |
0.394862 | + | 0.918740i | \(0.370792\pi\) | |||||||
\(62\) | −0.103769 | + | 0.00142228i | −0.0131787 | + | 0.000180630i | ||||
\(63\) | −13.8357 | + | 14.9303i | −1.74313 | + | 1.88105i | ||||
\(64\) | 7.97297 | − | 0.657114i | 0.996621 | − | 0.0821393i | ||||
\(65\) | 4.60831 | + | 4.27588i | 0.571590 | + | 0.530358i | ||||
\(66\) | 17.2503 | − | 5.58104i | 2.12336 | − | 0.686978i | ||||
\(67\) | 8.52787 | − | 4.92357i | 1.04185 | − | 0.601510i | 0.121490 | − | 0.992593i | \(-0.461233\pi\) |
0.920355 | + | 0.391083i | \(0.127899\pi\) | |||||||
\(68\) | −1.26447 | − | 2.97903i | −0.153339 | − | 0.361260i | ||||
\(69\) | −2.51815 | − | 2.00816i | −0.303150 | − | 0.241754i | ||||
\(70\) | −0.301693 | − | 3.37549i | −0.0360593 | − | 0.403449i | ||||
\(71\) | 4.24655 | + | 5.32501i | 0.503973 | + | 0.631962i | 0.967120 | − | 0.254319i | \(-0.0818513\pi\) |
−0.463147 | + | 0.886281i | \(0.653280\pi\) | |||||||
\(72\) | −0.732849 | + | 21.7485i | −0.0863671 | + | 2.56308i | ||||
\(73\) | −1.59925 | − | 1.09035i | −0.187178 | − | 0.127616i | 0.466105 | − | 0.884729i | \(-0.345657\pi\) |
−0.653284 | + | 0.757113i | \(0.726609\pi\) | |||||||
\(74\) | −1.45229 | + | 10.6210i | −0.168825 | + | 1.23467i | ||||
\(75\) | 2.03709 | + | 13.5152i | 0.235223 | + | 1.56060i | ||||
\(76\) | 0.0527953 | + | 1.92560i | 0.00605603 | + | 0.220882i | ||||
\(77\) | −8.57391 | − | 5.83761i | −0.977087 | − | 0.665258i | ||||
\(78\) | −6.71301 | + | 31.3885i | −0.760098 | + | 3.55405i | ||||
\(79\) | 1.44464 | − | 2.50218i | 0.162534 | − | 0.281518i | −0.773243 | − | 0.634110i | \(-0.781367\pi\) |
0.935777 | + | 0.352593i | \(0.114700\pi\) | |||||||
\(80\) | −2.60604 | − | 2.51679i | −0.291365 | − | 0.281386i | ||||
\(81\) | −26.8079 | − | 4.04065i | −2.97866 | − | 0.448961i | ||||
\(82\) | 12.8575 | + | 3.77382i | 1.41987 | + | 0.416749i | ||||
\(83\) | 3.74554 | + | 7.77768i | 0.411126 | + | 0.853712i | 0.998998 | + | 0.0447577i | \(0.0142516\pi\) |
−0.587872 | + | 0.808954i | \(0.700034\pi\) | |||||||
\(84\) | 14.0181 | − | 10.1447i | 1.52950 | − | 1.10687i | ||||
\(85\) | −0.635902 | + | 1.32046i | −0.0689732 | + | 0.143224i | ||||
\(86\) | 6.88380 | − | 7.62597i | 0.742299 | − | 0.822329i | ||||
\(87\) | −1.23427 | − | 16.4702i | −0.132328 | − | 1.76579i | ||||
\(88\) | −11.0143 | + | 1.28248i | −1.17413 | + | 0.136713i | ||||
\(89\) | −1.03192 | + | 13.7701i | −0.109384 | + | 1.45962i | 0.624859 | + | 0.780737i | \(0.285156\pi\) |
−0.734243 | + | 0.678887i | \(0.762463\pi\) | |||||||
\(90\) | 7.61983 | − | 6.24936i | 0.803201 | − | 0.658740i | ||||
\(91\) | 16.5398 | − | 7.97812i | 1.73385 | − | 0.836334i | ||||
\(92\) | 1.26994 | + | 1.50586i | 0.132400 | + | 0.156997i | ||||
\(93\) | −0.0707325 | + | 0.229309i | −0.00733462 | + | 0.0237782i | ||||
\(94\) | 0.370572 | + | 4.17608i | 0.0382216 | + | 0.430729i | ||||
\(95\) | 0.639494 | − | 0.593363i | 0.0656107 | − | 0.0608778i | ||||
\(96\) | 4.22936 | − | 18.0085i | 0.431658 | − | 1.83799i | ||||
\(97\) | 13.1899 | 1.33923 | 0.669614 | − | 0.742710i | \(-0.266460\pi\) | ||||
0.669614 | + | 0.742710i | \(0.266460\pi\) | |||||||
\(98\) | −9.50233 | − | 2.77593i | −0.959880 | − | 0.280412i | ||||
\(99\) | − | 30.1624i | − | 3.03144i | ||||||
\(100\) | 0.395992 | − | 8.34990i | 0.0395992 | − | 0.834990i | ||||
\(101\) | −2.48275 | − | 2.67576i | −0.247042 | − | 0.266248i | 0.597341 | − | 0.801987i | \(-0.296224\pi\) |
−0.844384 | + | 0.535739i | \(0.820033\pi\) | |||||||
\(102\) | −7.45400 | + | 0.661445i | −0.738056 | + | 0.0654928i | ||||
\(103\) | −0.269755 | − | 0.0832085i | −0.0265798 | − | 0.00819878i | 0.281437 | − | 0.959580i | \(-0.409189\pi\) |
−0.308017 | + | 0.951381i | \(0.599665\pi\) | |||||||
\(104\) | 7.78351 | − | 18.0224i | 0.763236 | − | 1.76724i | ||||
\(105\) | −7.64096 | − | 1.73889i | −0.745681 | − | 0.169698i | ||||
\(106\) | 2.36006 | − | 1.93559i | 0.229229 | − | 0.188001i | ||||
\(107\) | 7.22554 | + | 0.541480i | 0.698520 | + | 0.0523468i | 0.419256 | − | 0.907868i | \(-0.362291\pi\) |
0.279263 | + | 0.960215i | \(0.409910\pi\) | |||||||
\(108\) | 28.8718 | + | 10.4276i | 2.77819 | + | 1.00339i | ||||
\(109\) | −13.0240 | + | 0.976013i | −1.24747 | + | 0.0934851i | −0.682043 | − | 0.731312i | \(-0.738908\pi\) |
−0.565429 | + | 0.824797i | \(0.691289\pi\) | |||||||
\(110\) | 3.72764 | + | 3.36486i | 0.355417 | + | 0.320827i | ||||
\(111\) | 22.3329 | + | 10.7550i | 2.11975 | + | 1.02082i | ||||
\(112\) | −9.62199 | + | 4.40651i | −0.909192 | + | 0.416376i | ||||
\(113\) | −0.203528 | + | 0.0980137i | −0.0191463 | + | 0.00922035i | −0.443432 | − | 0.896308i | \(-0.646239\pi\) |
0.424286 | + | 0.905528i | \(0.360525\pi\) | |||||||
\(114\) | 4.27398 | + | 1.25447i | 0.400295 | + | 0.117491i | ||||
\(115\) | 0.132959 | − | 0.882125i | 0.0123985 | − | 0.0822586i | ||||
\(116\) | −1.23122 | + | 10.0261i | −0.114316 | + | 0.930904i | ||||
\(117\) | 46.2451 | + | 26.6996i | 4.27536 | + | 2.46838i | ||||
\(118\) | −9.25370 | − | 1.97907i | −0.851872 | − | 0.182188i | ||||
\(119\) | 2.91394 | + | 3.13648i | 0.267121 | + | 0.287521i | ||||
\(120\) | −7.39197 | + | 3.94198i | −0.674792 | + | 0.359852i | ||||
\(121\) | 4.32113 | − | 0.651306i | 0.392830 | − | 0.0592096i | ||||
\(122\) | −0.0955086 | + | 0.698483i | −0.00864694 | + | 0.0632377i | ||||
\(123\) | 17.4543 | − | 25.6007i | 1.57380 | − | 2.30834i | ||||
\(124\) | 0.0698719 | − | 0.129067i | 0.00627468 | − | 0.0115905i | ||||
\(125\) | −6.50040 | + | 5.18390i | −0.581414 | + | 0.463662i | ||||
\(126\) | −8.87867 | − | 27.3834i | −0.790975 | − | 2.43951i | ||||
\(127\) | 6.18126 | − | 7.75105i | 0.548498 | − | 0.687795i | −0.427887 | − | 0.903832i | \(-0.640742\pi\) |
0.976385 | + | 0.216037i | \(0.0693133\pi\) | |||||||
\(128\) | −4.69229 | + | 10.2948i | −0.414744 | + | 0.909938i | ||||
\(129\) | −11.8776 | − | 20.5727i | −1.04577 | − | 1.81132i | ||||
\(130\) | −8.45872 | + | 2.73668i | −0.741879 | + | 0.240022i | ||||
\(131\) | 5.11366 | − | 5.51121i | 0.446782 | − | 0.481517i | −0.468996 | − | 0.883200i | \(-0.655384\pi\) |
0.915779 | + | 0.401683i | \(0.131575\pi\) | |||||||
\(132\) | −5.01831 | + | 25.1447i | −0.436788 | + | 2.18857i | ||||
\(133\) | −0.932503 | − | 2.37155i | −0.0808583 | − | 0.205639i | ||||
\(134\) | 0.190854 | + | 13.9246i | 0.0164872 | + | 1.20291i | ||||
\(135\) | −5.07888 | − | 12.9408i | −0.437121 | − | 1.11377i | ||||
\(136\) | 4.54988 | + | 0.495533i | 0.390149 | + | 0.0424916i | ||||
\(137\) | 6.75547 | − | 2.08379i | 0.577159 | − | 0.178030i | 0.00758678 | − | 0.999971i | \(-0.497585\pi\) |
0.569572 | + | 0.821941i | \(0.307109\pi\) | |||||||
\(138\) | 4.21688 | − | 1.72207i | 0.358965 | − | 0.146592i | ||||
\(139\) | −8.20348 | + | 1.87239i | −0.695810 | + | 0.158814i | −0.555775 | − | 0.831333i | \(-0.687579\pi\) |
−0.140035 | + | 0.990147i | \(0.544721\pi\) | |||||||
\(140\) | 4.37469 | + | 1.95757i | 0.369729 | + | 0.165445i | ||||
\(141\) | 9.45129 | + | 2.15720i | 0.795942 | + | 0.181669i | ||||
\(142\) | −9.50398 | + | 1.56599i | −0.797556 | + | 0.131415i | ||||
\(143\) | −9.94123 | + | 25.3298i | −0.831327 | + | 2.11819i | ||||
\(144\) | −26.3387 | − | 15.9166i | −2.19489 | − | 1.32638i | ||||
\(145\) | 3.77973 | − | 2.57698i | 0.313889 | − | 0.214006i | ||||
\(146\) | 2.44974 | − | 1.22137i | 0.202742 | − | 0.101081i | ||||
\(147\) | −12.8708 | + | 18.9296i | −1.06156 | + | 1.56129i | ||||
\(148\) | −12.1073 | − | 9.12381i | −0.995214 | − | 0.749973i | ||||
\(149\) | −2.83147 | − | 4.15300i | −0.231963 | − | 0.340227i | 0.692556 | − | 0.721365i | \(-0.256485\pi\) |
−0.924518 | + | 0.381138i | \(0.875532\pi\) | |||||||
\(150\) | −18.0882 | − | 6.81453i | −1.47690 | − | 0.556404i | ||||
\(151\) | −5.49310 | + | 13.9962i | −0.447022 | + | 1.13899i | 0.512831 | + | 0.858490i | \(0.328597\pi\) |
−0.959853 | + | 0.280504i | \(0.909498\pi\) | |||||||
\(152\) | −2.41326 | − | 1.26399i | −0.195741 | − | 0.102523i | ||||
\(153\) | −2.77023 | + | 12.1372i | −0.223960 | + | 0.981233i | ||||
\(154\) | 13.1237 | − | 6.55351i | 1.05754 | − | 0.528097i | ||||
\(155\) | −0.0647991 | + | 0.0147900i | −0.00520479 | + | 0.00118796i | ||||
\(156\) | −34.1098 | − | 29.9521i | −2.73097 | − | 2.39809i | ||||
\(157\) | −4.99541 | − | 16.1947i | −0.398677 | − | 1.29248i | −0.903252 | − | 0.429111i | \(-0.858827\pi\) |
0.504575 | − | 0.863368i | \(-0.331649\pi\) | |||||||
\(158\) | 2.09133 | + | 3.51029i | 0.166377 | + | 0.279264i | ||||
\(159\) | −2.57851 | − | 6.56994i | −0.204489 | − | 0.521030i | ||||
\(160\) | 4.90536 | − | 1.47947i | 0.387803 | − | 0.116962i | ||||
\(161\) | −2.25759 | − | 1.30151i | −0.177923 | − | 0.102573i | ||||
\(162\) | 23.4918 | − | 30.3005i | 1.84569 | − | 2.38063i | ||||
\(163\) | −8.53338 | + | 9.19679i | −0.668386 | + | 0.720348i | −0.972659 | − | 0.232236i | \(-0.925396\pi\) |
0.304274 | + | 0.952585i | \(0.401586\pi\) | |||||||
\(164\) | −13.5330 | + | 13.2653i | −1.05675 | + | 1.03585i | ||||
\(165\) | 10.0561 | − | 5.80590i | 0.782867 | − | 0.451989i | ||||
\(166\) | −12.1855 | − | 0.745397i | −0.945781 | − | 0.0578540i | ||||
\(167\) | −0.484243 | + | 0.607221i | −0.0374718 | + | 0.0469882i | −0.800214 | − | 0.599714i | \(-0.795281\pi\) |
0.762742 | + | 0.646702i | \(0.223852\pi\) | |||||||
\(168\) | 2.84570 | + | 24.3052i | 0.219551 | + | 1.87519i | ||||
\(169\) | −21.9305 | − | 27.5000i | −1.68696 | − | 2.11539i | ||||
\(170\) | −1.19094 | − | 1.69636i | −0.0913410 | − | 0.130105i | ||||
\(171\) | 4.17432 | − | 6.12260i | 0.319218 | − | 0.468207i | ||||
\(172\) | 4.66131 | + | 13.7607i | 0.355422 | + | 1.04924i | ||||
\(173\) | −1.05907 | − | 7.02648i | −0.0805197 | − | 0.534213i | −0.992332 | − | 0.123605i | \(-0.960554\pi\) |
0.911812 | − | 0.410608i | \(-0.134684\pi\) | |||||||
\(174\) | 21.1815 | + | 9.84518i | 1.60577 | + | 0.746361i | ||||
\(175\) | 3.26621 | + | 10.5649i | 0.246902 | + | 0.798634i | ||||
\(176\) | 6.01969 | − | 14.4804i | 0.453751 | − | 1.09150i | ||||
\(177\) | −10.9407 | + | 18.9498i | −0.822352 | + | 1.42436i | ||||
\(178\) | −16.2844 | − | 10.7786i | −1.22057 | − | 0.807889i | ||||
\(179\) | 0.0379538 | − | 0.251807i | 0.00283680 | − | 0.0188209i | −0.987368 | − | 0.158446i | \(-0.949352\pi\) |
0.990204 | + | 0.139625i | \(0.0445897\pi\) | |||||||
\(180\) | 2.45408 | + | 13.7190i | 0.182917 | + | 1.02255i | ||||
\(181\) | −5.37978 | − | 11.1712i | −0.399876 | − | 0.830351i | −0.999547 | − | 0.0301039i | \(-0.990416\pi\) |
0.599671 | − | 0.800247i | \(-0.295298\pi\) | |||||||
\(182\) | −1.56915 | + | 25.9224i | −0.116314 | + | 1.92150i | ||||
\(183\) | 1.46871 | + | 0.707293i | 0.108570 | + | 0.0522846i | ||||
\(184\) | −2.73530 | + | 0.528083i | −0.201649 | + | 0.0389308i | ||||
\(185\) | 0.513063 | + | 6.84635i | 0.0377211 | + | 0.503354i | ||||
\(186\) | −0.234217 | − | 0.245588i | −0.0171737 | − | 0.0180074i | ||||
\(187\) | −6.32609 | − | 0.474075i | −0.462610 | − | 0.0346678i | ||||
\(188\) | −5.41041 | − | 2.42515i | −0.394594 | − | 0.176872i | ||||
\(189\) | −40.6086 | + | 0.0258076i | −2.95384 | + | 0.00187722i | ||||
\(190\) | 0.290987 | + | 1.19891i | 0.0211104 | + | 0.0869783i | ||||
\(191\) | −5.27667 | − | 1.62764i | −0.381806 | − | 0.117772i | 0.0979101 | − | 0.995195i | \(-0.468784\pi\) |
−0.479716 | + | 0.877424i | \(0.659260\pi\) | |||||||
\(192\) | 19.3090 | + | 17.6509i | 1.39351 | + | 1.27384i | ||||
\(193\) | 15.8499 | − | 14.7065i | 1.14090 | − | 1.05860i | 0.143277 | − | 0.989683i | \(-0.454236\pi\) |
0.997622 | − | 0.0689168i | \(-0.0219543\pi\) | |||||||
\(194\) | −9.10437 | + | 16.2805i | −0.653656 | + | 1.16887i | ||||
\(195\) | 20.5574i | 1.47215i | ||||||||
\(196\) | 9.98542 | − | 9.81281i | 0.713245 | − | 0.700915i | ||||
\(197\) | 0.495829i | 0.0353263i | 0.999844 | + | 0.0176632i | \(0.00562265\pi\) | ||||
−0.999844 | + | 0.0176632i | \(0.994377\pi\) | |||||||
\(198\) | 37.2301 | + | 20.8198i | 2.64583 | + | 1.47960i | ||||
\(199\) | −13.8900 | + | 12.8880i | −0.984634 | + | 0.913607i | −0.996267 | − | 0.0863256i | \(-0.972487\pi\) |
0.0116331 | + | 0.999932i | \(0.496297\pi\) | |||||||
\(200\) | 10.0331 | + | 6.25235i | 0.709449 | + | 0.442108i | ||||
\(201\) | 30.7706 | + | 9.49147i | 2.17039 | + | 0.669477i | ||||
\(202\) | 5.01648 | − | 1.21754i | 0.352958 | − | 0.0856661i | ||||
\(203\) | −2.98182 | − | 13.0260i | −0.209283 | − | 0.914249i | ||||
\(204\) | 4.32873 | − | 9.65719i | 0.303072 | − | 0.676139i | ||||
\(205\) | 8.55796 | + | 0.641330i | 0.597714 | + | 0.0447924i | ||||
\(206\) | 0.288906 | − | 0.275530i | 0.0201290 | − | 0.0191971i | ||||
\(207\) | −0.566282 | − | 7.55650i | −0.0393593 | − | 0.525213i | ||||
\(208\) | 16.8728 | + | 22.0474i | 1.16992 | + | 1.52871i | ||||
\(209\) | 3.40209 | + | 1.63836i | 0.235328 | + | 0.113328i | ||||
\(210\) | 7.42056 | − | 8.23111i | 0.512067 | − | 0.568001i | ||||
\(211\) | −1.66716 | − | 3.46188i | −0.114772 | − | 0.238326i | 0.835668 | − | 0.549235i | \(-0.185081\pi\) |
−0.950440 | + | 0.310909i | \(0.899367\pi\) | |||||||
\(212\) | 0.760093 | + | 4.24912i | 0.0522034 | + | 0.291831i | ||||
\(213\) | −3.31955 | + | 22.0238i | −0.227452 | + | 1.50904i | ||||
\(214\) | −5.65583 | + | 8.54488i | −0.386624 | + | 0.584116i | ||||
\(215\) | 3.28980 | − | 5.69809i | 0.224362 | − | 0.388607i | ||||
\(216\) | −32.7999 | + | 28.4394i | −2.23175 | + | 1.93506i | ||||
\(217\) | −0.0288150 | + | 0.192003i | −0.00195609 | + | 0.0130340i | ||||
\(218\) | 7.78516 | − | 16.7495i | 0.527278 | − | 1.13442i | ||||
\(219\) | −0.943372 | − | 6.25887i | −0.0637472 | − | 0.422935i | ||||
\(220\) | −6.72635 | + | 2.27849i | −0.453490 | + | 0.153616i | ||||
\(221\) | 6.32668 | − | 9.27954i | 0.425579 | − | 0.624210i | ||||
\(222\) | −28.6905 | + | 20.1423i | −1.92558 | + | 1.35186i | ||||
\(223\) | −7.30388 | − | 9.15877i | −0.489104 | − | 0.613317i | 0.474629 | − | 0.880186i | \(-0.342582\pi\) |
−0.963733 | + | 0.266869i | \(0.914011\pi\) | |||||||
\(224\) | 1.20258 | − | 14.9182i | 0.0803508 | − | 0.996767i | ||||
\(225\) | −20.0493 | + | 25.1410i | −1.33662 | + | 1.67607i | ||||
\(226\) | 0.0195056 | − | 0.318873i | 0.00129750 | − | 0.0212111i | ||||
\(227\) | −6.36649 | + | 3.67569i | −0.422559 | + | 0.243964i | −0.696171 | − | 0.717876i | \(-0.745115\pi\) |
0.273613 | + | 0.961840i | \(0.411781\pi\) | |||||||
\(228\) | −4.49855 | + | 4.40956i | −0.297924 | + | 0.292030i | ||||
\(229\) | −8.70186 | + | 9.37837i | −0.575035 | + | 0.619740i | −0.951856 | − | 0.306546i | \(-0.900827\pi\) |
0.376821 | + | 0.926286i | \(0.377017\pi\) | |||||||
\(230\) | 0.997050 | + | 0.773006i | 0.0657435 | + | 0.0509705i | ||||
\(231\) | −5.07673 | − | 33.5373i | −0.334024 | − | 2.20659i | ||||
\(232\) | −11.5256 | − | 8.44031i | −0.756694 | − | 0.554134i | ||||
\(233\) | −7.64766 | − | 19.4859i | −0.501015 | − | 1.27656i | −0.928093 | − | 0.372350i | \(-0.878552\pi\) |
0.427078 | − | 0.904215i | \(-0.359543\pi\) | |||||||
\(234\) | −64.8769 | + | 38.6518i | −4.24113 | + | 2.52674i | ||||
\(235\) | 0.791442 | + | 2.56579i | 0.0516280 | + | 0.167374i | ||||
\(236\) | 8.83023 | − | 10.0560i | 0.574799 | − | 0.654588i | ||||
\(237\) | 9.21135 | − | 2.10243i | 0.598341 | − | 0.136568i | ||||
\(238\) | −5.88279 | + | 1.43176i | −0.381325 | + | 0.0928075i | ||||
\(239\) | 4.43399 | − | 19.4266i | 0.286811 | − | 1.25660i | −0.602062 | − | 0.798449i | \(-0.705654\pi\) |
0.888873 | − | 0.458153i | \(-0.151489\pi\) | |||||||
\(240\) | 0.236678 | − | 11.8450i | 0.0152775 | − | 0.764594i | ||||
\(241\) | 5.73329 | − | 14.6082i | 0.369314 | − | 0.940996i | −0.618560 | − | 0.785737i | \(-0.712284\pi\) |
0.987874 | − | 0.155259i | \(-0.0496211\pi\) | |||||||
\(242\) | −2.17876 | + | 5.78323i | −0.140056 | + | 0.371760i | ||||
\(243\) | −24.0027 | − | 35.2054i | −1.53977 | − | 2.25843i | ||||
\(244\) | −0.796227 | − | 0.600020i | −0.0509732 | − | 0.0384124i | ||||
\(245\) | −6.32301 | − | 0.465763i | −0.403963 | − | 0.0297565i | ||||
\(246\) | 19.5516 | + | 39.2152i | 1.24656 | + | 2.50027i | ||||
\(247\) | −5.52346 | + | 3.76583i | −0.351450 | + | 0.239614i | ||||
\(248\) | 0.111080 | + | 0.175333i | 0.00705359 | + | 0.0111337i | ||||
\(249\) | −10.3134 | + | 26.2781i | −0.653584 | + | 1.66530i | ||||
\(250\) | −1.91165 | − | 11.6018i | −0.120904 | − | 0.733762i | ||||
\(251\) | 17.3886 | + | 3.96882i | 1.09756 | + | 0.250510i | 0.732698 | − | 0.680553i | \(-0.238261\pi\) |
0.364857 | + | 0.931063i | \(0.381118\pi\) | |||||||
\(252\) | 39.9285 | + | 7.94242i | 2.51526 | + | 0.500325i | ||||
\(253\) | 3.76457 | − | 0.859239i | 0.236677 | − | 0.0540199i | ||||
\(254\) | 5.30064 | + | 12.9799i | 0.332592 | + | 0.814429i | ||||
\(255\) | −4.57976 | + | 1.41267i | −0.286796 | + | 0.0884647i | ||||
\(256\) | −9.46817 | − | 12.8978i | −0.591761 | − | 0.806114i | ||||
\(257\) | −0.560055 | − | 1.42700i | −0.0349353 | − | 0.0890137i | 0.912342 | − | 0.409430i | \(-0.134272\pi\) |
−0.947277 | + | 0.320416i | \(0.896177\pi\) | |||||||
\(258\) | 33.5919 | − | 0.460416i | 2.09134 | − | 0.0286643i | ||||
\(259\) | 19.1678 | + | 5.89914i | 1.19103 | + | 0.366555i | ||||
\(260\) | 2.46074 | − | 12.3298i | 0.152609 | − | 0.764661i | ||||
\(261\) | 26.4304 | − | 28.4851i | 1.63600 | − | 1.76319i | ||||
\(262\) | 3.27287 | + | 10.1160i | 0.202199 | + | 0.624971i | ||||
\(263\) | −9.56129 | − | 16.5606i | −0.589574 | − | 1.02117i | −0.994288 | − | 0.106729i | \(-0.965962\pi\) |
0.404714 | − | 0.914443i | \(-0.367371\pi\) | |||||||
\(264\) | −27.5727 | − | 23.5505i | −1.69698 | − | 1.44943i | ||||
\(265\) | 1.21882 | − | 1.52835i | 0.0748715 | − | 0.0938858i | ||||
\(266\) | 3.57091 | + | 0.485965i | 0.218947 | + | 0.0297964i | ||||
\(267\) | −35.3043 | + | 28.1542i | −2.16059 | + | 1.72301i | ||||
\(268\) | −17.3192 | − | 9.37599i | −1.05794 | − | 0.572730i | ||||
\(269\) | 1.53183 | − | 2.24679i | 0.0933976 | − | 0.136989i | −0.776696 | − | 0.629876i | \(-0.783106\pi\) |
0.870094 | + | 0.492887i | \(0.164058\pi\) | |||||||
\(270\) | 19.4788 | + | 2.66347i | 1.18544 | + | 0.162094i | ||||
\(271\) | −10.5533 | + | 1.59065i | −0.641067 | + | 0.0966254i | −0.461528 | − | 0.887125i | \(-0.652699\pi\) |
−0.179539 | + | 0.983751i | \(0.557461\pi\) | |||||||
\(272\) | −3.75222 | + | 5.27397i | −0.227512 | + | 0.319781i | ||||
\(273\) | 55.9134 | + | 21.9034i | 3.38403 | + | 1.32565i | ||||
\(274\) | −2.09094 | + | 9.77677i | −0.126318 | + | 0.590636i | ||||
\(275\) | −14.1908 | − | 8.19305i | −0.855736 | − | 0.494059i | ||||
\(276\) | −0.785145 | + | 6.39365i | −0.0472602 | + | 0.384853i | ||||
\(277\) | −1.78442 | + | 11.8389i | −0.107216 | + | 0.711329i | 0.869045 | + | 0.494732i | \(0.164734\pi\) |
−0.976261 | + | 0.216597i | \(0.930504\pi\) | |||||||
\(278\) | 3.35136 | − | 11.4181i | 0.201001 | − | 0.684815i | ||||
\(279\) | −0.508669 | + | 0.244962i | −0.0304532 | + | 0.0146655i | ||||
\(280\) | −5.43592 | + | 4.04855i | −0.324858 | + | 0.241947i | ||||
\(281\) | −3.93404 | − | 1.89454i | −0.234685 | − | 0.113019i | 0.312845 | − | 0.949804i | \(-0.398718\pi\) |
−0.547531 | + | 0.836786i | \(0.684432\pi\) | |||||||
\(282\) | −9.18647 | + | 10.1769i | −0.547047 | + | 0.606026i | ||||
\(283\) | 4.31807 | − | 0.323595i | 0.256683 | − | 0.0192357i | 0.0542328 | − | 0.998528i | \(-0.482729\pi\) |
0.202450 | + | 0.979293i | \(0.435110\pi\) | |||||||
\(284\) | 4.62723 | − | 12.8119i | 0.274576 | − | 0.760246i | ||||
\(285\) | 2.84477 | + | 0.213186i | 0.168510 | + | 0.0126281i | ||||
\(286\) | −24.4032 | − | 29.7547i | −1.44299 | − | 1.75943i | ||||
\(287\) | 10.8626 | − | 22.5931i | 0.641199 | − | 1.33363i | ||||
\(288\) | 37.8266 | − | 21.5239i | 2.22895 | − | 1.26831i | ||||
\(289\) | −13.7427 | − | 4.23906i | −0.808394 | − | 0.249356i | ||||
\(290\) | 0.571836 | + | 6.44417i | 0.0335794 | + | 0.378415i | ||||
\(291\) | 29.3374 | + | 31.6182i | 1.71979 | + | 1.85349i | ||||
\(292\) | −0.183383 | + | 3.86682i | −0.0107317 | + | 0.226288i | ||||
\(293\) | 24.5414i | 1.43372i | 0.697215 | + | 0.716862i | \(0.254422\pi\) | ||||
−0.697215 | + | 0.716862i | \(0.745578\pi\) | |||||||
\(294\) | −14.4811 | − | 28.9529i | −0.844554 | − | 1.68857i | ||||
\(295\) | −6.06057 | −0.352860 | ||||||||
\(296\) | 19.6188 | − | 8.64654i | 1.14032 | − | 0.502570i | ||||
\(297\) | 44.1102 | − | 40.9283i | 2.55954 | − | 2.37490i | ||||
\(298\) | 7.08057 | − | 0.628308i | 0.410166 | − | 0.0363969i | ||||
\(299\) | −2.01500 | + | 6.53245i | −0.116530 | + | 0.377782i | ||||
\(300\) | 20.8968 | − | 17.6229i | 1.20648 | − | 1.01746i | ||||
\(301\) | −11.9928 | − | 15.0190i | −0.691256 | − | 0.865678i | ||||
\(302\) | −13.4841 | − | 16.4412i | −0.775925 | − | 0.946084i | ||||
\(303\) | 0.892012 | − | 11.9031i | 0.0512447 | − | 0.683814i | ||||
\(304\) | 3.22594 | − | 2.10625i | 0.185020 | − | 0.120802i | ||||
\(305\) | 0.0337412 | + | 0.450245i | 0.00193201 | + | 0.0257809i | ||||
\(306\) | −13.0690 | − | 11.7971i | −0.747105 | − | 0.674396i | ||||
\(307\) | −5.45810 | + | 11.3339i | −0.311510 | + | 0.646857i | −0.996670 | − | 0.0815349i | \(-0.974018\pi\) |
0.685160 | + | 0.728392i | \(0.259732\pi\) | |||||||
\(308\) | −0.969555 | + | 20.7224i | −0.0552455 | + | 1.18077i | ||||
\(309\) | −0.400536 | − | 0.831722i | −0.0227857 | − | 0.0473150i | ||||
\(310\) | 0.0264724 | − | 0.0901917i | 0.00150353 | − | 0.00512255i | ||||
\(311\) | −24.9012 | − | 3.75325i | −1.41202 | − | 0.212827i | −0.601654 | − | 0.798757i | \(-0.705492\pi\) |
−0.810362 | + | 0.585929i | \(0.800730\pi\) | |||||||
\(312\) | 60.5150 | − | 21.4278i | 3.42599 | − | 1.21311i | ||||
\(313\) | −6.91016 | + | 11.9687i | −0.390585 | + | 0.676513i | −0.992527 | − | 0.122027i | \(-0.961061\pi\) |
0.601942 | + | 0.798540i | \(0.294394\pi\) | |||||||
\(314\) | 23.4376 | + | 5.01255i | 1.32266 | + | 0.282875i | ||||
\(315\) | −9.22843 | − | 15.9607i | −0.519963 | − | 0.899282i | ||||
\(316\) | −5.77638 | + | 0.158374i | −0.324947 | + | 0.00890922i | ||||
\(317\) | −4.19958 | − | 27.8624i | −0.235872 | − | 1.56491i | −0.722545 | − | 0.691324i | \(-0.757028\pi\) |
0.486673 | − | 0.873584i | \(-0.338210\pi\) | |||||||
\(318\) | 9.88925 | + | 1.35223i | 0.554561 | + | 0.0758291i | ||||
\(319\) | 16.3605 | + | 11.1544i | 0.916010 | + | 0.624525i | ||||
\(320\) | −1.55981 | + | 7.07600i | −0.0871963 | + | 0.395560i | ||||
\(321\) | 14.7733 | + | 18.5252i | 0.824566 | + | 1.03397i | ||||
\(322\) | 3.16480 | − | 1.88822i | 0.176367 | − | 0.105226i | ||||
\(323\) | −1.21851 | − | 0.971729i | −0.0677997 | − | 0.0540684i | ||||
\(324\) | 21.1852 | + | 49.9115i | 1.17696 | + | 2.77286i | ||||
\(325\) | 25.1232 | − | 14.5049i | 1.39359 | − | 0.804587i | ||||
\(326\) | −5.46158 | − | 16.8811i | −0.302489 | − | 0.934955i | ||||
\(327\) | −31.3081 | − | 29.0497i | −1.73134 | − | 1.60645i | ||||
\(328\) | −7.03242 | − | 25.8606i | −0.388300 | − | 1.42791i | ||||
\(329\) | 7.82186 | + | 0.581169i | 0.431233 | + | 0.0320409i | ||||
\(330\) | 0.225056 | + | 16.4200i | 0.0123889 | + | 0.903892i | ||||
\(331\) | −12.0588 | + | 4.73275i | −0.662814 | + | 0.260135i | −0.672811 | − | 0.739815i | \(-0.734913\pi\) |
0.00999663 | + | 0.999950i | \(0.496818\pi\) | |||||||
\(332\) | 9.33119 | − | 14.5263i | 0.512115 | − | 0.797236i | ||||
\(333\) | 17.1896 | + | 55.7273i | 0.941983 | + | 3.05384i | ||||
\(334\) | −0.415255 | − | 1.01685i | −0.0227217 | − | 0.0556395i | ||||
\(335\) | 1.98464 | + | 8.69528i | 0.108433 | + | 0.475074i | ||||
\(336\) | −31.9647 | − | 13.2643i | −1.74382 | − | 0.723627i | ||||
\(337\) | −1.41639 | + | 6.20561i | −0.0771557 | + | 0.338041i | −0.998743 | − | 0.0501307i | \(-0.984036\pi\) |
0.921587 | + | 0.388172i | \(0.126893\pi\) | |||||||
\(338\) | 49.0815 | − | 8.08727i | 2.66968 | − | 0.439890i | ||||
\(339\) | −0.687648 | − | 0.269882i | −0.0373479 | − | 0.0146580i | ||||
\(340\) | 2.91591 | − | 0.299079i | 0.158137 | − | 0.0162198i | ||||
\(341\) | −0.162064 | − | 0.237704i | −0.00877626 | − | 0.0128724i | ||||
\(342\) | 4.67591 | + | 9.37860i | 0.252844 | + | 0.507137i | ||||
\(343\) | −8.00381 | + | 16.7015i | −0.432165 | + | 0.901794i | ||||
\(344\) | −20.2026 | − | 3.74483i | −1.08925 | − | 0.201908i | ||||
\(345\) | 2.41033 | − | 1.64333i | 0.129768 | − | 0.0884740i | ||||
\(346\) | 9.40396 | + | 3.54283i | 0.505560 | + | 0.190464i | ||||
\(347\) | −10.8077 | − | 4.24172i | −0.580190 | − | 0.227708i | 0.0570527 | − | 0.998371i | \(-0.481830\pi\) |
−0.637242 | + | 0.770664i | \(0.719925\pi\) | |||||||
\(348\) | −26.7728 | + | 19.3491i | −1.43517 | + | 1.03722i | ||||
\(349\) | −1.58077 | − | 0.360800i | −0.0846166 | − | 0.0193132i | 0.180003 | − | 0.983666i | \(-0.442389\pi\) |
−0.264620 | + | 0.964353i | \(0.585246\pi\) | |||||||
\(350\) | −15.2950 | − | 3.26096i | −0.817554 | − | 0.174306i | ||||
\(351\) | 23.7053 | + | 103.860i | 1.26529 | + | 5.54362i | ||||
\(352\) | 13.7184 | + | 17.4254i | 0.731191 | + | 0.928777i | ||||
\(353\) | −23.6993 | + | 7.31026i | −1.26139 | + | 0.389086i | −0.852128 | − | 0.523333i | \(-0.824688\pi\) |
−0.409258 | + | 0.912419i | \(0.634212\pi\) | |||||||
\(354\) | −15.8383 | − | 26.5845i | −0.841795 | − | 1.41295i | ||||
\(355\) | −5.74248 | + | 2.25376i | −0.304779 | + | 0.119617i | ||||
\(356\) | 24.5446 | − | 12.6602i | 1.30086 | − | 0.670988i | ||||
\(357\) | −1.03735 | + | 13.9615i | −0.0549021 | + | 0.738919i | ||||
\(358\) | 0.284613 | + | 0.220658i | 0.0150422 | + | 0.0116621i | ||||
\(359\) | −8.35572 | − | 7.75297i | −0.440998 | − | 0.409186i | 0.428174 | − | 0.903696i | \(-0.359157\pi\) |
−0.869172 | + | 0.494510i | \(0.835348\pi\) | |||||||
\(360\) | −18.6276 | − | 6.44047i | −0.981758 | − | 0.339442i | ||||
\(361\) | −9.03616 | − | 15.6511i | −0.475587 | − | 0.823741i | ||||
\(362\) | 17.5023 | + | 1.07063i | 0.919900 | + | 0.0562709i | ||||
\(363\) | 11.1725 | + | 8.90978i | 0.586405 | + | 0.467642i | ||||
\(364\) | −30.9134 | − | 19.8299i | −1.62031 | − | 1.03937i | ||||
\(365\) | 1.37065 | − | 1.09306i | 0.0717430 | − | 0.0572131i | ||||
\(366\) | −1.88681 | + | 1.32464i | −0.0986251 | + | 0.0692403i | ||||
\(367\) | 17.6602 | + | 12.0405i | 0.921855 | + | 0.628510i | 0.928446 | − | 0.371468i | \(-0.121145\pi\) |
−0.00659039 | + | 0.999978i | \(0.502098\pi\) | |||||||
\(368\) | 1.23623 | − | 3.74075i | 0.0644431 | − | 0.195000i | ||||
\(369\) | 72.0837 | − | 10.8649i | 3.75253 | − | 0.565602i | ||||
\(370\) | −8.80474 | − | 4.09245i | −0.457736 | − | 0.212756i | ||||
\(371\) | −2.85828 | − | 4.94344i | −0.148395 | − | 0.256650i | ||||
\(372\) | 0.464805 | − | 0.119581i | 0.0240990 | − | 0.00619997i | ||||
\(373\) | 9.14727 | + | 5.28118i | 0.473628 | + | 0.273449i | 0.717757 | − | 0.696294i | \(-0.245169\pi\) |
−0.244129 | + | 0.969743i | \(0.578502\pi\) | |||||||
\(374\) | 4.95178 | − | 7.48119i | 0.256050 | − | 0.386843i | ||||
\(375\) | −26.8851 | − | 4.05227i | −1.38834 | − | 0.209258i | ||||
\(376\) | 6.72798 | − | 5.00420i | 0.346969 | − | 0.258072i | ||||
\(377\) | −31.5842 | + | 15.2101i | −1.62667 | + | 0.783361i | ||||
\(378\) | 27.9984 | − | 50.1418i | 1.44008 | − | 2.57902i | ||||
\(379\) | 7.69587 | − | 15.9806i | 0.395310 | − | 0.820870i | −0.604397 | − | 0.796683i | \(-0.706586\pi\) |
0.999707 | − | 0.0241872i | \(-0.00769977\pi\) | |||||||
\(380\) | −1.68070 | − | 0.468385i | −0.0862180 | − | 0.0240276i | ||||
\(381\) | 32.3291 | − | 2.42273i | 1.65627 | − | 0.124120i | ||||
\(382\) | 5.65127 | − | 5.38961i | 0.289144 | − | 0.275757i | ||||
\(383\) | −2.13775 | + | 28.5263i | −0.109234 | + | 1.45763i | 0.626006 | + | 0.779818i | \(0.284689\pi\) |
−0.735240 | + | 0.677807i | \(0.762930\pi\) | |||||||
\(384\) | −35.1150 | + | 11.6499i | −1.79195 | + | 0.594504i | ||||
\(385\) | 7.34141 | − | 5.86221i | 0.374153 | − | 0.298766i | ||||
\(386\) | 7.21212 | + | 29.7151i | 0.367087 | + | 1.51246i | ||||
\(387\) | 16.4736 | − | 53.4062i | 0.837401 | − | 2.71479i | ||||
\(388\) | −13.8110 | − | 22.4754i | −0.701149 | − | 1.14102i | ||||
\(389\) | −18.4947 | − | 19.9326i | −0.937720 | − | 1.01062i | −0.999921 | − | 0.0125586i | \(-0.996002\pi\) |
0.0622008 | − | 0.998064i | \(-0.480188\pi\) | |||||||
\(390\) | −25.3745 | − | 14.1899i | −1.28489 | − | 0.718532i | ||||
\(391\) | −1.59376 | −0.0805998 | ||||||||
\(392\) | 5.21967 | + | 19.0986i | 0.263633 | + | 0.964623i | ||||
\(393\) | 24.5852 | 1.24016 | ||||||||
\(394\) | −0.612012 | − | 0.342249i | −0.0308327 | − | 0.0172422i | ||||
\(395\) | 1.77995 | + | 1.91834i | 0.0895593 | + | 0.0965219i | ||||
\(396\) | −51.3965 | + | 31.5829i | −2.58277 | + | 1.58710i | ||||
\(397\) | −3.23667 | + | 10.4930i | −0.162444 | + | 0.526630i | −0.999799 | − | 0.0200289i | \(-0.993624\pi\) |
0.837356 | + | 0.546658i | \(0.184100\pi\) | |||||||
\(398\) | −6.32031 | − | 26.0407i | −0.316808 | − | 1.30530i | ||||
\(399\) | 3.61086 | − | 7.51024i | 0.180769 | − | 0.375982i | ||||
\(400\) | −14.6428 | + | 8.06838i | −0.732141 | + | 0.403419i | ||||
\(401\) | −2.74759 | + | 36.6641i | −0.137208 | + | 1.83092i | 0.326810 | + | 0.945090i | \(0.394026\pi\) |
−0.464018 | + | 0.885826i | \(0.653593\pi\) | |||||||
\(402\) | −32.9551 | + | 31.4292i | −1.64365 | + | 1.56755i | ||||
\(403\) | 0.507908 | − | 0.0380624i | 0.0253007 | − | 0.00189602i | ||||
\(404\) | −1.95981 | + | 7.03236i | −0.0975043 | + | 0.349873i | ||||
\(405\) | 10.6541 | − | 22.1234i | 0.529406 | − | 1.09932i | ||||
\(406\) | 18.1365 | + | 5.31077i | 0.900101 | + | 0.263569i | ||||
\(407\) | −26.7744 | + | 12.8939i | −1.32716 | + | 0.639126i | ||||
\(408\) | 8.93214 | + | 12.0090i | 0.442207 | + | 0.594532i | ||||
\(409\) | 24.8634 | + | 3.74755i | 1.22941 | + | 0.185304i | 0.731451 | − | 0.681894i | \(-0.238843\pi\) |
0.497963 | + | 0.867198i | \(0.334081\pi\) | |||||||
\(410\) | −6.69878 | + | 10.1206i | −0.330829 | + | 0.499820i | ||||
\(411\) | 20.0210 | + | 11.5591i | 0.987561 | + | 0.570169i | ||||
\(412\) | 0.140673 | + | 0.546789i | 0.00693045 | + | 0.0269383i | ||||
\(413\) | −6.45737 | + | 16.4839i | −0.317747 | + | 0.811120i | ||||
\(414\) | 9.71802 | + | 4.51694i | 0.477615 | + | 0.221996i | ||||
\(415\) | −7.73150 | + | 1.16534i | −0.379524 | + | 0.0572041i | ||||
\(416\) | −38.8602 | + | 5.60814i | −1.90528 | + | 0.274962i | ||||
\(417\) | −22.7349 | − | 15.5004i | −1.11333 | − | 0.759058i | ||||
\(418\) | −4.37058 | + | 3.06839i | −0.213772 | + | 0.150080i | ||||
\(419\) | 13.6865 | − | 10.9146i | 0.668629 | − | 0.533214i | −0.229299 | − | 0.973356i | \(-0.573643\pi\) |
0.897928 | + | 0.440142i | \(0.145072\pi\) | |||||||
\(420\) | 5.03775 | + | 14.8409i | 0.245817 | + | 0.724163i | ||||
\(421\) | 30.0724 | + | 23.9819i | 1.46564 | + | 1.16881i | 0.950102 | + | 0.311940i | \(0.100979\pi\) |
0.515536 | + | 0.856868i | \(0.327593\pi\) | |||||||
\(422\) | 5.42384 | + | 0.331780i | 0.264028 | + | 0.0161508i | ||||
\(423\) | 11.4040 | + | 19.7523i | 0.554480 | + | 0.960388i | ||||
\(424\) | −5.76944 | − | 1.99478i | −0.280189 | − | 0.0968751i | ||||
\(425\) | 4.95780 | + | 4.60017i | 0.240489 | + | 0.223141i | ||||
\(426\) | −24.8930 | − | 19.2994i | −1.20607 | − | 0.935059i | ||||
\(427\) | 1.26055 | + | 0.387952i | 0.0610025 | + | 0.0187743i | ||||
\(428\) | −6.64315 | − | 12.8793i | −0.321109 | − | 0.622542i | ||||
\(429\) | −82.8313 | + | 32.5089i | −3.99913 | + | 1.56954i | ||||
\(430\) | 4.76248 | + | 7.99380i | 0.229667 | + | 0.385495i | ||||
\(431\) | 1.17562 | − | 0.362630i | 0.0566275 | − | 0.0174673i | −0.266312 | − | 0.963887i | \(-0.585805\pi\) |
0.322939 | + | 0.946420i | \(0.395329\pi\) | |||||||
\(432\) | −12.4631 | − | 60.1161i | −0.599630 | − | 2.89234i | ||||
\(433\) | −7.15589 | − | 31.3520i | −0.343890 | − | 1.50668i | −0.790785 | − | 0.612094i | \(-0.790327\pi\) |
0.446895 | − | 0.894586i | \(-0.352530\pi\) | |||||||
\(434\) | −0.217103 | − | 0.168098i | −0.0104213 | − | 0.00806896i | ||||
\(435\) | 14.5844 | + | 3.32880i | 0.699270 | + | 0.159604i | ||||
\(436\) | 15.3005 | + | 21.1708i | 0.732760 | + | 1.01390i | ||||
\(437\) | 0.883076 | + | 0.346582i | 0.0422433 | + | 0.0165793i | ||||
\(438\) | 8.37661 | + | 3.15579i | 0.400250 | + | 0.150790i | ||||
\(439\) | 8.67385 | − | 5.91373i | 0.413980 | − | 0.282247i | −0.338366 | − | 0.941015i | \(-0.609874\pi\) |
0.752347 | + | 0.658767i | \(0.228922\pi\) | |||||||
\(440\) | 1.83051 | − | 9.87521i | 0.0872660 | − | 0.470782i | ||||
\(441\) | −53.2435 | + | 8.09439i | −2.53540 | + | 0.385447i | ||||
\(442\) | 7.08690 | + | 14.2144i | 0.337090 | + | 0.676111i | ||||
\(443\) | 20.7407 | + | 30.4211i | 0.985422 | + | 1.44535i | 0.893226 | + | 0.449608i | \(0.148436\pi\) |
0.0921964 | + | 0.995741i | \(0.470611\pi\) | |||||||
\(444\) | −5.05831 | − | 49.3167i | −0.240057 | − | 2.34046i | ||||
\(445\) | −11.6424 | − | 4.56932i | −0.551905 | − | 0.216607i | ||||
\(446\) | 16.3464 | − | 2.69343i | 0.774025 | − | 0.127538i | ||||
\(447\) | 3.65754 | − | 16.0247i | 0.172996 | − | 0.757944i | ||||
\(448\) | 17.5838 | + | 11.7818i | 0.830756 | + | 0.556636i | ||||
\(449\) | 4.08246 | + | 17.8864i | 0.192663 | + | 0.844113i | 0.975168 | + | 0.221468i | \(0.0710849\pi\) |
−0.782504 | + | 0.622645i | \(0.786058\pi\) | |||||||
\(450\) | −17.1929 | − | 42.1009i | −0.810482 | − | 1.98466i | ||||
\(451\) | 10.9492 | + | 35.4964i | 0.515578 | + | 1.67146i | ||||
\(452\) | 0.380127 | + | 0.244180i | 0.0178797 | + | 0.0114853i | ||||
\(453\) | −45.7690 | + | 17.9630i | −2.15042 | + | 0.843976i | ||||
\(454\) | −0.142482 | − | 10.3955i | −0.00668701 | − | 0.487883i | ||||
\(455\) | 2.48939 | + | 16.4451i | 0.116704 | + | 0.770957i | ||||
\(456\) | −2.33766 | − | 8.59638i | −0.109471 | − | 0.402562i | ||||
\(457\) | 12.4287 | + | 11.5321i | 0.581389 | + | 0.539451i | 0.915101 | − | 0.403225i | \(-0.132111\pi\) |
−0.333712 | + | 0.942675i | \(0.608301\pi\) | |||||||
\(458\) | −5.56942 | − | 17.2144i | −0.260242 | − | 0.804374i | ||||
\(459\) | −21.5087 | + | 12.4181i | −1.00394 | + | 0.579626i | ||||
\(460\) | −1.64236 | + | 0.697108i | −0.0765752 | + | 0.0325028i | ||||
\(461\) | 11.6806 | + | 9.31500i | 0.544022 | + | 0.433843i | 0.856549 | − | 0.516066i | \(-0.172604\pi\) |
−0.312527 | + | 0.949909i | \(0.601176\pi\) | |||||||
\(462\) | 44.9000 | + | 16.8830i | 2.08894 | + | 0.785466i | ||||
\(463\) | −0.974625 | − | 1.22214i | −0.0452947 | − | 0.0567977i | 0.758668 | − | 0.651477i | \(-0.225850\pi\) |
−0.803963 | + | 0.594679i | \(0.797279\pi\) | |||||||
\(464\) | 18.3737 | − | 8.40033i | 0.852976 | − | 0.389976i | ||||
\(465\) | −0.179583 | − | 0.122437i | −0.00832794 | − | 0.00567790i | ||||
\(466\) | 29.3307 | + | 4.01059i | 1.35872 | + | 0.185787i | ||||
\(467\) | −3.58696 | − | 23.7979i | −0.165985 | − | 1.10124i | −0.904336 | − | 0.426821i | \(-0.859633\pi\) |
0.738351 | − | 0.674416i | \(-0.235605\pi\) | |||||||
\(468\) | −2.92705 | − | 106.758i | −0.135303 | − | 4.93491i | ||||
\(469\) | 25.7645 | + | 3.86664i | 1.18970 | + | 0.178545i | ||||
\(470\) | −3.71331 | − | 0.794159i | −0.171282 | − | 0.0366318i | ||||
\(471\) | 27.7103 | − | 47.9957i | 1.27682 | − | 2.21153i | ||||
\(472\) | 6.31718 | + | 17.8405i | 0.290772 | + | 0.821176i | ||||
\(473\) | 28.1615 | + | 4.24466i | 1.29487 | + | 0.195170i | ||||
\(474\) | −3.76311 | + | 12.8210i | −0.172845 | + | 0.588887i | ||||
\(475\) | −1.74668 | − | 3.62702i | −0.0801431 | − | 0.166419i | ||||
\(476\) | 2.29337 | − | 8.24953i | 0.105116 | − | 0.378117i | ||||
\(477\) | 7.20463 | − | 14.9606i | 0.329878 | − | 0.684998i | ||||
\(478\) | 20.9181 | + | 18.8823i | 0.956770 | + | 0.863656i | ||||
\(479\) | −1.12364 | − | 14.9939i | −0.0513404 | − | 0.685091i | −0.962195 | − | 0.272362i | \(-0.912195\pi\) |
0.910854 | − | 0.412728i | \(-0.135424\pi\) | |||||||
\(480\) | 14.4572 | + | 8.46824i | 0.659878 | + | 0.386521i | ||||
\(481\) | 3.93165 | − | 52.4643i | 0.179268 | − | 2.39216i | ||||
\(482\) | 14.0738 | + | 17.1601i | 0.641042 | + | 0.781621i | ||||
\(483\) | −1.90150 | − | 8.30668i | −0.0865213 | − | 0.377967i | ||||
\(484\) | −5.63446 | − | 6.68120i | −0.256112 | − | 0.303691i | ||||
\(485\) | −3.52130 | + | 11.4158i | −0.159894 | + | 0.518363i | ||||
\(486\) | 60.0228 | − | 5.32624i | 2.72269 | − | 0.241603i | ||||
\(487\) | 29.1333 | − | 27.0318i | 1.32016 | − | 1.22493i | 0.364233 | − | 0.931308i | \(-0.381331\pi\) |
0.955923 | − | 0.293618i | \(-0.0948593\pi\) | |||||||
\(488\) | 1.29022 | − | 0.568633i | 0.0584054 | − | 0.0257408i | ||||
\(489\) | −41.0264 | −1.85528 | ||||||||
\(490\) | 4.93940 | − | 7.48313i | 0.223139 | − | 0.338053i | ||||
\(491\) | − | 16.9392i | − | 0.764454i | −0.924068 | − | 0.382227i | \(-0.875157\pi\) | ||
0.924068 | − | 0.382227i | \(-0.124843\pi\) | |||||||
\(492\) | −61.8998 | − | 2.93558i | −2.79066 | − | 0.132346i | ||||
\(493\) | −5.55890 | − | 5.99106i | −0.250360 | − | 0.269824i | ||||
\(494\) | −0.835646 | − | 9.41711i | −0.0375975 | − | 0.423696i | ||||
\(495\) | 26.1054 | + | 8.05246i | 1.17335 | + | 0.361931i | ||||
\(496\) | −0.293091 | + | 0.0160837i | −0.0131602 | + | 0.000722181i | ||||
\(497\) | 0.0114521 | + | 18.0201i | 0.000513698 | + | 0.808310i | ||||
\(498\) | −25.3167 | − | 30.8686i | −1.13447 | − | 1.38325i | ||||
\(499\) | −10.0435 | − | 0.752660i | −0.449611 | − | 0.0336937i | −0.151999 | − | 0.988381i | \(-0.548571\pi\) |
−0.297612 | + | 0.954687i | \(0.596190\pi\) | |||||||
\(500\) | 15.6399 | + | 5.64861i | 0.699436 | + | 0.252613i | ||||
\(501\) | −2.53268 | + | 0.189798i | −0.113152 | + | 0.00847954i | ||||
\(502\) | −16.9013 | + | 18.7236i | −0.754344 | + | 0.835673i | ||||
\(503\) | 24.2387 | + | 11.6727i | 1.08075 | + | 0.520461i | 0.887556 | − | 0.460700i | \(-0.152401\pi\) |
0.193193 | + | 0.981161i | \(0.438116\pi\) | |||||||
\(504\) | −37.3643 | + | 43.8022i | −1.66434 | + | 1.95111i | ||||
\(505\) | 2.97868 | − | 1.43446i | 0.132550 | − | 0.0638325i | ||||
\(506\) | −1.53794 | + | 5.23978i | −0.0683697 | + | 0.232937i | ||||
\(507\) | 17.1432 | − | 113.738i | 0.761355 | − | 5.05126i | ||||
\(508\) | −19.6801 | − | 2.41673i | −0.873163 | − | 0.107225i | ||||
\(509\) | −21.6896 | − | 12.5225i | −0.961376 | − | 0.555051i | −0.0647798 | − | 0.997900i | \(-0.520635\pi\) |
−0.896596 | + | 0.442849i | \(0.853968\pi\) | |||||||
\(510\) | 1.41752 | − | 6.62799i | 0.0627687 | − | 0.293492i | ||||
\(511\) | −1.51257 | − | 4.89259i | −0.0669122 | − | 0.216436i | ||||
\(512\) | 22.4555 | − | 2.78397i | 0.992402 | − | 0.123035i | ||||
\(513\) | 14.6181 | − | 2.20332i | 0.645405 | − | 0.0972791i | ||||
\(514\) | 2.14795 | + | 0.293705i | 0.0947422 | + | 0.0129548i | ||||
\(515\) | 0.144033 | − | 0.211258i | 0.00634686 | − | 0.00930914i | ||||
\(516\) | −22.6187 | + | 41.7809i | −0.995731 | + | 1.83930i | ||||
\(517\) | −9.08669 | + | 7.24639i | −0.399632 | + | 0.318696i | ||||
\(518\) | −20.5121 | + | 19.5873i | −0.901250 | + | 0.860616i | ||||
\(519\) | 14.4880 | − | 18.1673i | 0.635951 | − | 0.797457i | ||||
\(520\) | 13.5204 | + | 11.5480i | 0.592907 | + | 0.506415i | ||||
\(521\) | 8.78304 | + | 15.2127i | 0.384792 | + | 0.666480i | 0.991740 | − | 0.128262i | \(-0.0409398\pi\) |
−0.606948 | + | 0.794741i | \(0.707606\pi\) | |||||||
\(522\) | 16.9161 | + | 52.2856i | 0.740398 | + | 2.28848i | ||||
\(523\) | −14.5765 | + | 15.7098i | −0.637388 | + | 0.686941i | −0.966300 | − | 0.257420i | \(-0.917128\pi\) |
0.328912 | + | 0.944361i | \(0.393318\pi\) | |||||||
\(524\) | −14.7455 | − | 2.94287i | −0.644162 | − | 0.128560i | ||||
\(525\) | −18.0610 | + | 31.3285i | −0.788247 | + | 1.36729i | ||||
\(526\) | 27.0409 | − | 0.370627i | 1.17904 | − | 0.0161601i | ||||
\(527\) | 0.0433820 | + | 0.110535i | 0.00188975 | + | 0.00481500i | ||||
\(528\) | 48.1011 | − | 17.7777i | 2.09333 | − | 0.773677i | ||||
\(529\) | −21.0512 | + | 6.49343i | −0.915269 | + | 0.282323i | ||||
\(530\) | 1.04518 | + | 2.55937i | 0.0453997 | + | 0.111172i | ||||
\(531\) | −50.1897 | + | 11.4555i | −2.17805 | + | 0.497125i | ||||
\(532\) | −3.06468 | + | 4.07221i | −0.132871 | + | 0.176553i | ||||
\(533\) | −64.1155 | − | 14.6339i | −2.77715 | − | 0.633866i | ||||
\(534\) | −10.3824 | − | 63.0104i | −0.449289 | − | 2.72673i | ||||
\(535\) | −2.39765 | + | 6.10912i | −0.103660 | + | 0.264120i | ||||
\(536\) | 23.5277 | − | 14.9056i | 1.01624 | − | 0.643826i | ||||
\(537\) | 0.688039 | − | 0.469097i | 0.0296911 | − | 0.0202430i | ||||
\(538\) | 1.71590 | + | 3.44163i | 0.0739777 | + | 0.148379i | ||||
\(539\) | −8.12234 | − | 26.2136i | −0.349854 | − | 1.12910i | ||||
\(540\) | −16.7329 | + | 22.2046i | −0.720071 | + | 0.955534i | ||||
\(541\) | 20.9180 | + | 30.6810i | 0.899334 | + | 1.31908i | 0.947339 | + | 0.320233i | \(0.103761\pi\) |
−0.0480048 | + | 0.998847i | \(0.515286\pi\) | |||||||
\(542\) | 5.32110 | − | 14.1241i | 0.228561 | − | 0.606683i | ||||
\(543\) | 14.8133 | − | 37.7436i | 0.635699 | − | 1.61973i | ||||
\(544\) | −3.91977 | − | 8.27183i | −0.168059 | − | 0.354652i | ||||
\(545\) | 2.63228 | − | 11.5328i | 0.112754 | − | 0.494010i | ||||
\(546\) | −65.6303 | + | 53.8961i | −2.80872 | + | 2.30654i | ||||
\(547\) | −1.99084 | + | 0.454397i | −0.0851223 | + | 0.0194286i | −0.264870 | − | 0.964284i | \(-0.585329\pi\) |
0.179748 | + | 0.983713i | \(0.442472\pi\) | |||||||
\(548\) | −10.6244 | − | 9.32936i | −0.453851 | − | 0.398530i | ||||
\(549\) | 1.13046 | + | 3.66486i | 0.0482468 | + | 0.156412i | ||||
\(550\) | 19.9081 | − | 11.8607i | 0.848884 | − | 0.505741i | ||||
\(551\) | 1.77727 | + | 4.52840i | 0.0757141 | + | 0.192916i | ||||
\(552\) | −7.34986 | − | 5.38237i | −0.312831 | − | 0.229089i | ||||
\(553\) | 7.11410 | − | 2.79730i | 0.302522 | − | 0.118953i | ||||
\(554\) | −13.3813 | − | 10.3744i | −0.568516 | − | 0.440766i | ||||
\(555\) | −15.2706 | + | 16.4578i | −0.648202 | + | 0.698595i | ||||
\(556\) | 11.7804 | + | 12.0181i | 0.499599 | + | 0.509681i | ||||
\(557\) | 32.3272 | − | 18.6641i | 1.36975 | − | 0.790824i | 0.378851 | − | 0.925457i | \(-0.376319\pi\) |
0.990895 | + | 0.134634i | \(0.0429858\pi\) | |||||||
\(558\) | 0.0487497 | − | 0.796947i | 0.00206374 | − | 0.0337374i | ||||
\(559\) | −31.4364 | + | 39.4200i | −1.32962 | + | 1.66729i | ||||
\(560\) | −1.24503 | − | 9.50420i | −0.0526123 | − | 0.401626i | ||||
\(561\) | −12.9343 | − | 16.2191i | −0.546087 | − | 0.684771i | ||||
\(562\) | 5.05396 | − | 3.54816i | 0.213188 | − | 0.149670i | ||||
\(563\) | −8.39990 | + | 12.3204i | −0.354014 | + | 0.519243i | −0.961397 | − | 0.275166i | \(-0.911267\pi\) |
0.607383 | + | 0.794409i | \(0.292219\pi\) | |||||||
\(564\) | −6.22055 | − | 18.3637i | −0.261933 | − | 0.773252i | ||||
\(565\) | −0.0304947 | − | 0.202319i | −0.00128292 | − | 0.00851162i | ||||
\(566\) | −2.58115 | + | 5.55325i | −0.108494 | + | 0.233421i | ||||
\(567\) | −48.8210 | − | 52.5495i | −2.05029 | − | 2.20687i | ||||
\(568\) | 12.6200 | + | 14.5550i | 0.529524 | + | 0.610713i | ||||
\(569\) | 5.09548 | − | 8.82563i | 0.213614 | − | 0.369990i | −0.739229 | − | 0.673454i | \(-0.764810\pi\) |
0.952843 | + | 0.303464i | \(0.0981433\pi\) | |||||||
\(570\) | −2.22676 | + | 3.36421i | −0.0932687 | + | 0.140911i | ||||
\(571\) | −4.84280 | + | 32.1299i | −0.202665 | + | 1.34459i | 0.623790 | + | 0.781592i | \(0.285592\pi\) |
−0.826455 | + | 0.563002i | \(0.809646\pi\) | |||||||
\(572\) | 53.5713 | − | 9.58296i | 2.23993 | − | 0.400684i | ||||
\(573\) | −7.83486 | − | 16.2693i | −0.327306 | − | 0.679658i | ||||
\(574\) | 20.3892 | + | 29.0030i | 0.851029 | + | 1.21056i | ||||
\(575\) | −3.70899 | − | 1.78616i | −0.154676 | − | 0.0744879i | ||||
\(576\) | 0.457433 | + | 61.5471i | 0.0190597 | + | 2.56446i | ||||
\(577\) | 2.97073 | + | 39.6417i | 0.123673 | + | 1.65031i | 0.621782 | + | 0.783191i | \(0.286409\pi\) |
−0.498108 | + | 0.867115i | \(0.665972\pi\) | |||||||
\(578\) | 14.7183 | − | 14.0369i | 0.612202 | − | 0.583856i | ||||
\(579\) | 70.5078 | + | 5.28383i | 2.93020 | + | 0.219588i | ||||
\(580\) | −8.34888 | − | 3.74229i | −0.346669 | − | 0.155390i | ||||
\(581\) | −5.06815 | + | 22.2702i | −0.210262 | + | 0.923925i | ||||
\(582\) | −59.2773 | + | 14.3871i | −2.45712 | + | 0.596365i | ||||
\(583\) | 8.08553 | + | 2.49406i | 0.334869 | + | 0.103293i | ||||
\(584\) | −4.64631 | − | 2.89544i | −0.192266 | − | 0.119814i | ||||
\(585\) | −35.4545 | + | 32.8970i | −1.46586 | + | 1.36012i | ||||
\(586\) | −30.2920 | − | 16.9398i | −1.25135 | − | 0.699778i | ||||
\(587\) | 20.6640i | 0.852896i | 0.904512 | + | 0.426448i | \(0.140235\pi\) | ||||
−0.904512 | + | 0.426448i | \(0.859765\pi\) | |||||||
\(588\) | 45.7328 | + | 2.11061i | 1.88599 | + | 0.0870401i | ||||
\(589\) | − | 0.0706799i | − | 0.00291231i | ||||||
\(590\) | 4.18334 | − | 7.48069i | 0.172225 | − | 0.307975i | ||||
\(591\) | −1.18858 | + | 1.10284i | −0.0488917 | + | 0.0453648i | ||||
\(592\) | −2.86941 | + | 30.1843i | −0.117932 | + | 1.24057i | ||||
\(593\) | −32.8870 | − | 10.1443i | −1.35051 | − | 0.416576i | −0.466694 | − | 0.884419i | \(-0.654555\pi\) |
−0.883812 | + | 0.467843i | \(0.845031\pi\) | |||||||
\(594\) | 20.0713 | + | 82.6972i | 0.823537 | + | 3.39311i | ||||
\(595\) | −3.49255 | + | 1.68466i | −0.143181 | + | 0.0690642i | ||||
\(596\) | −4.11187 | + | 9.17338i | −0.168429 | + | 0.375756i | ||||
\(597\) | −61.7892 | − | 4.63046i | −2.52886 | − | 0.189512i | ||||
\(598\) | −6.67228 | − | 6.99621i | −0.272850 | − | 0.286096i | ||||
\(599\) | −1.54989 | − | 20.6819i | −0.0633268 | − | 0.845038i | −0.934931 | − | 0.354828i | \(-0.884539\pi\) |
0.871605 | − | 0.490210i | \(-0.163080\pi\) | |||||||
\(600\) | 7.32819 | + | 37.9577i | 0.299172 | + | 1.54962i | ||||
\(601\) | −15.7690 | − | 7.59394i | −0.643230 | − | 0.309763i | 0.0836835 | − | 0.996492i | \(-0.473332\pi\) |
−0.726913 | + | 0.686729i | \(0.759046\pi\) | |||||||
\(602\) | 26.8163 | − | 4.43610i | 1.09295 | − | 0.180802i | ||||
\(603\) | 32.8710 | + | 68.2574i | 1.33861 | + | 2.77966i | ||||
\(604\) | 29.6012 | − | 5.29514i | 1.20446 | − | 0.215456i | ||||
\(605\) | −0.589911 | + | 3.91380i | −0.0239833 | + | 0.159119i | ||||
\(606\) | 14.0765 | + | 9.31719i | 0.571818 | + | 0.378485i | ||||
\(607\) | −21.9793 | + | 38.0692i | −0.892112 | + | 1.54518i | −0.0547727 | + | 0.998499i | \(0.517443\pi\) |
−0.837339 | + | 0.546684i | \(0.815890\pi\) | |||||||
\(608\) | 0.373074 | + | 5.43569i | 0.0151301 | + | 0.220446i | ||||
\(609\) | 24.5932 | − | 36.1209i | 0.996567 | − | 1.46369i | ||||
\(610\) | −0.579037 | − | 0.269136i | −0.0234445 | − | 0.0108970i | ||||
\(611\) | −3.06670 | − | 20.3462i | −0.124065 | − | 0.823121i | ||||
\(612\) | 23.5824 | − | 7.98832i | 0.953261 | − | 0.322909i | ||||
\(613\) | 3.57123 | − | 5.23804i | 0.144241 | − | 0.211562i | −0.747319 | − | 0.664465i | \(-0.768659\pi\) |
0.891560 | + | 0.452903i | \(0.149612\pi\) | |||||||
\(614\) | −10.2221 | − | 14.5603i | −0.412532 | − | 0.587606i | ||||
\(615\) | 17.4976 | + | 21.9412i | 0.705570 | + | 0.884757i | ||||
\(616\) | −24.9089 | − | 15.5005i | −1.00361 | − | 0.624533i | ||||
\(617\) | 16.7201 | − | 20.9664i | 0.673128 | − | 0.844076i | −0.321573 | − | 0.946885i | \(-0.604212\pi\) |
0.994701 | + | 0.102809i | \(0.0327831\pi\) | |||||||
\(618\) | 1.30308 | + | 0.0797105i | 0.0524177 | + | 0.00320643i | ||||
\(619\) | 3.58159 | − | 2.06783i | 0.143956 | − | 0.0831132i | −0.426292 | − | 0.904586i | \(-0.640180\pi\) |
0.570248 | + | 0.821472i | \(0.306847\pi\) | |||||||
\(620\) | 0.0930528 | + | 0.0949307i | 0.00373709 | + | 0.00381251i | ||||
\(621\) | 10.2824 | − | 11.0818i | 0.412619 | − | 0.444697i | ||||
\(622\) | 21.8209 | − | 28.1453i | 0.874938 | − | 1.12853i | ||||
\(623\) | −24.8326 | + | 26.7973i | −0.994898 | + | 1.07361i | ||||
\(624\) | −15.3220 | + | 89.4856i | −0.613369 | + | 3.58229i | ||||
\(625\) | 4.88375 | + | 12.4436i | 0.195350 | + | 0.497744i | ||||
\(626\) | −10.0035 | − | 16.7908i | −0.399820 | − | 0.671097i | ||||
\(627\) | 3.63965 | + | 11.7995i | 0.145354 | + | 0.471225i | ||||
\(628\) | −22.3650 | + | 25.4696i | −0.892461 | + | 1.01635i | ||||
\(629\) | 11.9581 | − | 2.72936i | 0.476800 | − | 0.108827i | ||||
\(630\) | 26.0706 | − | 0.373899i | 1.03868 | − | 0.0148965i | ||||
\(631\) | −0.369027 | + | 1.61681i | −0.0146907 | + | 0.0643643i | −0.981742 | − | 0.190218i | \(-0.939081\pi\) |
0.967051 | + | 0.254582i | \(0.0819378\pi\) | |||||||
\(632\) | 3.79169 | − | 7.23922i | 0.150825 | − | 0.287961i | ||||
\(633\) | 4.59053 | − | 11.6965i | 0.182457 | − | 0.464894i | ||||
\(634\) | 37.2899 | + | 14.0485i | 1.48097 | + | 0.557939i | ||||
\(635\) | 5.05829 | + | 7.41915i | 0.200732 | + | 0.294420i | ||||
\(636\) | −8.49519 | + | 11.2731i | −0.336856 | + | 0.447008i | ||||
\(637\) | 47.3807 | + | 10.7510i | 1.87729 | + | 0.425970i | ||||
\(638\) | −25.0610 | + | 12.4947i | −0.992173 | + | 0.494670i | ||||
\(639\) | −43.2955 | + | 29.5184i | −1.71274 | + | 1.16773i | ||||
\(640\) | −7.65738 | − | 6.80956i | −0.302685 | − | 0.269171i | ||||
\(641\) | −0.851106 | + | 2.16858i | −0.0336167 | + | 0.0856539i | −0.946696 | − | 0.322127i | \(-0.895602\pi\) |
0.913080 | + | 0.407781i | \(0.133697\pi\) | |||||||
\(642\) | −33.0633 | + | 5.44792i | −1.30491 | + | 0.215012i | ||||
\(643\) | −23.7336 | − | 5.41704i | −0.935963 | − | 0.213627i | −0.272773 | − | 0.962078i | \(-0.587941\pi\) |
−0.663190 | + | 0.748451i | \(0.730798\pi\) | |||||||
\(644\) | 0.146151 | + | 5.20973i | 0.00575917 | + | 0.205292i | ||||
\(645\) | 20.9765 | − | 4.78775i | 0.825950 | − | 0.188518i | ||||
\(646\) | 2.04051 | − | 0.833290i | 0.0802827 | − | 0.0327854i | ||||
\(647\) | 30.1456 | − | 9.29867i | 1.18514 | − | 0.365568i | 0.361335 | − | 0.932436i | \(-0.382321\pi\) |
0.823809 | + | 0.566868i | \(0.191845\pi\) | |||||||
\(648\) | −76.2300 | − | 8.30230i | −2.99460 | − | 0.326145i | ||||
\(649\) | −9.58400 | − | 24.4196i | −0.376205 | − | 0.958554i | ||||
\(650\) | 0.562258 | + | 41.0222i | 0.0220536 | + | 1.60902i | ||||
\(651\) | −0.524353 | + | 0.357986i | −0.0205510 | + | 0.0140306i | ||||
\(652\) | 24.6065 | + | 4.91090i | 0.963666 | + | 0.192326i | ||||
\(653\) | 30.9542 | − | 33.3607i | 1.21133 | − | 1.30550i | 0.272078 | − | 0.962275i | \(-0.412289\pi\) |
0.939252 | − | 0.343229i | \(-0.111521\pi\) | |||||||
\(654\) | 57.4672 | − | 18.5925i | 2.24715 | − | 0.727026i | ||||
\(655\) | 3.40474 | + | 5.89718i | 0.133034 | + | 0.230422i | ||||
\(656\) | 36.7744 | + | 9.17013i | 1.43580 | + | 0.358034i | ||||
\(657\) | 9.28476 | − | 11.6427i | 0.362233 | − | 0.454226i | ||||
\(658\) | −6.11643 | + | 9.25353i | −0.238443 | + | 0.360740i | ||||
\(659\) | −23.1951 | + | 18.4974i | −0.903551 | + | 0.720558i | −0.960636 | − | 0.277811i | \(-0.910391\pi\) |
0.0570846 | + | 0.998369i | \(0.481820\pi\) | |||||||
\(660\) | −20.4229 | − | 11.0562i | −0.794961 | − | 0.430363i | ||||
\(661\) | −18.5575 | + | 27.2188i | −0.721803 | + | 1.05869i | 0.273500 | + | 0.961872i | \(0.411819\pi\) |
−0.995302 | + | 0.0968177i | \(0.969134\pi\) | |||||||
\(662\) | 2.48195 | − | 18.1513i | 0.0964639 | − | 0.705470i | ||||
\(663\) | 36.3166 | − | 5.47385i | 1.41042 | − | 0.212587i | ||||
\(664\) | 11.4893 | + | 21.5446i | 0.445870 | + | 0.836091i | ||||
\(665\) | 2.30151 | − | 0.173946i | 0.0892489 | − | 0.00674532i | ||||
\(666\) | −80.6505 | − | 17.2486i | −3.12514 | − | 0.668369i | ||||
\(667\) | 4.30816 | + | 2.48732i | 0.166812 | + | 0.0963092i | ||||
\(668\) | 1.54175 | + | 0.189328i | 0.0596521 | + | 0.00732532i | ||||
\(669\) | 5.70947 | − | 37.8798i | 0.220741 | − | 1.46452i | ||||
\(670\) | −12.1027 | − | 3.55228i | −0.467567 | − | 0.137237i | ||||
\(671\) | −1.76080 | + | 0.847956i | −0.0679749 | + | 0.0327350i | ||||
\(672\) | 38.4362 | − | 30.2989i | 1.48271 | − | 1.16881i | ||||
\(673\) | −3.85062 | − | 1.85436i | −0.148430 | − | 0.0714803i | 0.358194 | − | 0.933647i | \(-0.383393\pi\) |
−0.506624 | + | 0.862167i | \(0.669107\pi\) | |||||||
\(674\) | −6.68205 | − | 6.03174i | −0.257383 | − | 0.232334i | ||||
\(675\) | −63.9723 | + | 4.79406i | −2.46229 | + | 0.184523i | ||||
\(676\) | −23.8965 | + | 66.1646i | −0.919095 | + | 2.54479i | ||||
\(677\) | −12.2192 | − | 0.915700i | −0.469621 | − | 0.0351932i | −0.162181 | − | 0.986761i | \(-0.551853\pi\) |
−0.307439 | + | 0.951568i | \(0.599472\pi\) | |||||||
\(678\) | 0.807774 | − | 0.662491i | 0.0310224 | − | 0.0254428i | ||||
\(679\) | 27.2975 | + | 21.7406i | 1.04758 | + | 0.834329i | ||||
\(680\) | −1.64356 | + | 3.80561i | −0.0630278 | + | 0.145938i | ||||
\(681\) | −22.9718 | − | 7.08586i | −0.880282 | − | 0.271531i | ||||
\(682\) | 0.405269 | − | 0.0359623i | 0.0155185 | − | 0.00137707i | ||||
\(683\) | 22.0206 | + | 23.7325i | 0.842594 | + | 0.908100i | 0.996800 | − | 0.0799386i | \(-0.0254724\pi\) |
−0.154206 | + | 0.988039i | \(0.549282\pi\) | |||||||
\(684\) | −14.8038 | − | 0.702064i | −0.566036 | − | 0.0268441i | ||||
\(685\) | 6.40314i | 0.244652i | ||||||||
\(686\) | −15.0903 | − | 21.4075i | −0.576150 | − | 0.817344i | ||||
\(687\) | −41.8365 | −1.59616 | ||||||||
\(688\) | 18.5673 | − | 22.3516i | 0.707870 | − | 0.852146i | ||||
\(689\) | −10.9812 | + | 10.1890i | −0.418350 | + | 0.388172i | ||||
\(690\) | 0.364659 | + | 4.10943i | 0.0138823 | + | 0.156443i | ||||
\(691\) | 6.31871 | − | 20.4848i | 0.240375 | − | 0.779277i | −0.752338 | − | 0.658777i | \(-0.771074\pi\) |
0.992713 | − | 0.120500i | \(-0.0384497\pi\) | |||||||
\(692\) | −10.8641 | + | 9.16204i | −0.412992 | + | 0.348289i | ||||
\(693\) | 49.7162 | − | 62.4235i | 1.88856 | − | 2.37127i | ||||
\(694\) | 12.6957 | − | 10.4123i | 0.481924 | − | 0.395247i | ||||
\(695\) | 0.569537 | − | 7.59995i | 0.0216038 | − | 0.288282i | ||||
\(696\) | −5.40295 | − | 46.4020i | −0.204798 | − | 1.75886i | ||||
\(697\) | −1.14577 | − | 15.2892i | −0.0433990 | − | 0.579119i | ||||
\(698\) | 1.53648 | − | 1.70213i | 0.0581565 | − | 0.0644266i | ||||
\(699\) | 29.7006 | − | 61.6739i | 1.12338 | − | 2.33272i | ||||
\(700\) | 14.5825 | − | 16.6281i | 0.551169 | − | 0.628482i | ||||
\(701\) | 5.73531 | + | 11.9095i | 0.216620 | + | 0.449815i | 0.980755 | − | 0.195240i | \(-0.0625486\pi\) |
−0.764136 | + | 0.645055i | \(0.776834\pi\) | |||||||
\(702\) | −144.559 | − | 42.4297i | −5.45602 | − | 1.60141i | ||||
\(703\) | −7.21932 | − | 1.08814i | −0.272282 | − | 0.0410399i | ||||
\(704\) | −30.9777 | + | 4.90487i | −1.16752 | + | 0.184859i | ||||
\(705\) | −4.39026 | + | 7.60414i | −0.165347 | + | 0.286389i | ||||
\(706\) | 7.33536 | − | 34.2985i | 0.276070 | − | 1.29084i | ||||
\(707\) | −0.727822 | − | 9.62998i | −0.0273726 | − | 0.362173i | ||||
\(708\) | 43.7463 | − | 1.19941i | 1.64409 | − | 0.0450767i | ||||
\(709\) | 1.64497 | + | 10.9137i | 0.0617782 | + | 0.409871i | 0.998250 | + | 0.0591294i | \(0.0188325\pi\) |
−0.936472 | + | 0.350742i | \(0.885929\pi\) | |||||||
\(710\) | 1.18192 | − | 8.64373i | 0.0443566 | − | 0.324393i | ||||
\(711\) | 18.3664 | + | 12.5220i | 0.688794 | + | 0.469612i | ||||
\(712\) | −1.31534 | + | 39.0347i | −0.0492943 | + | 1.46289i | ||||
\(713\) | −0.0450642 | − | 0.0565087i | −0.00168767 | − | 0.00211627i | ||||
\(714\) | −16.5169 | − | 10.9174i | −0.618129 | − | 0.408573i | ||||
\(715\) | −19.2689 | − | 15.3664i | −0.720615 | − | 0.574671i | ||||
\(716\) | −0.468818 | + | 0.198993i | −0.0175206 | + | 0.00743671i | ||||
\(717\) | 56.4309 | − | 32.5804i | 2.10745 | − | 1.21674i | ||||
\(718\) | 15.3372 | − | 4.96210i | 0.572381 | − | 0.185184i | ||||
\(719\) | −16.6635 | − | 15.4615i | −0.621443 | − | 0.576615i | 0.305325 | − | 0.952248i | \(-0.401235\pi\) |
−0.926768 | + | 0.375633i | \(0.877425\pi\) | |||||||
\(720\) | 20.8074 | − | 18.5468i | 0.775445 | − | 0.691199i | ||||
\(721\) | −0.421129 | − | 0.616840i | −0.0156837 | − | 0.0229723i | ||||
\(722\) | 25.5557 | − | 0.350271i | 0.951085 | − | 0.0130357i | ||||
\(723\) | 47.7704 | − | 18.7485i | 1.77660 | − | 0.697264i | ||||
\(724\) | −13.4025 | + | 20.8644i | −0.498102 | + | 0.775421i | ||||
\(725\) | −6.22235 | − | 20.1724i | −0.231092 | − | 0.749183i | ||||
\(726\) | −18.7094 | + | 7.64044i | −0.694371 | + | 0.283563i | ||||
\(727\) | 0.655500 | + | 2.87193i | 0.0243112 | + | 0.106514i | 0.985628 | − | 0.168932i | \(-0.0540317\pi\) |
−0.961317 | + | 0.275446i | \(0.911175\pi\) | |||||||
\(728\) | 45.8147 | − | 24.4694i | 1.69800 | − | 0.906896i | ||||
\(729\) | 12.9073 | − | 56.5504i | 0.478046 | − | 2.09446i | ||||
\(730\) | 0.403084 | + | 2.44631i | 0.0149188 | + | 0.0905419i | ||||
\(731\) | −10.9422 | − | 4.29449i | −0.404711 | − | 0.158837i | ||||
\(732\) | −0.332655 | − | 3.24327i | −0.0122953 | − | 0.119875i | ||||
\(733\) | −8.11085 | − | 11.8964i | −0.299581 | − | 0.439405i | 0.646703 | − | 0.762742i | \(-0.276147\pi\) |
−0.946284 | + | 0.323337i | \(0.895195\pi\) | |||||||
\(734\) | −27.0519 | + | 13.4873i | −0.998505 | + | 0.497826i | ||||
\(735\) | −12.9474 | − | 16.1932i | −0.477571 | − | 0.597297i | ||||
\(736\) | 3.76397 | + | 4.10798i | 0.138742 | + | 0.151422i | ||||
\(737\) | −31.8971 | + | 21.7471i | −1.17495 | + | 0.801065i | ||||
\(738\) | −36.3454 | + | 96.4739i | −1.33789 | + | 3.55125i | ||||
\(739\) | −7.01079 | − | 2.75153i | −0.257896 | − | 0.101217i | 0.232871 | − | 0.972508i | \(-0.425188\pi\) |
−0.490767 | + | 0.871291i | \(0.663283\pi\) | |||||||
\(740\) | 11.1289 | − | 8.04304i | 0.409107 | − | 0.295668i | ||||
\(741\) | −21.3128 | − | 4.86451i | −0.782945 | − | 0.178702i | ||||
\(742\) | 8.07473 | − | 0.115806i | 0.296433 | − | 0.00425139i | ||||
\(743\) | −5.90629 | − | 25.8771i | −0.216681 | − | 0.949340i | −0.959911 | − | 0.280305i | \(-0.909564\pi\) |
0.743230 | − | 0.669036i | \(-0.233293\pi\) | |||||||
\(744\) | −0.173233 | + | 0.656259i | −0.00635103 | + | 0.0240596i | ||||
\(745\) | 4.35032 | − | 1.34190i | 0.159383 | − | 0.0491633i | ||||
\(746\) | −12.8326 | + | 7.64530i | −0.469836 | + | 0.279914i | ||||
\(747\) | −61.8246 | + | 24.2644i | −2.26204 | + | 0.887786i | ||||
\(748\) | 5.81620 | + | 11.2760i | 0.212661 | + | 0.412292i | ||||
\(749\) | 14.0613 | + | 13.0304i | 0.513790 | + | 0.476120i | ||||
\(750\) | 23.5594 | − | 30.3877i | 0.860266 | − | 1.10960i | ||||
\(751\) | −3.93803 | − | 3.65396i | −0.143701 | − | 0.133335i | 0.605047 | − | 0.796190i | \(-0.293154\pi\) |
−0.748748 | + | 0.662855i | \(0.769345\pi\) | |||||||
\(752\) | 1.53276 | + | 11.7587i | 0.0558942 | + | 0.428794i | ||||
\(753\) | 29.1624 | + | 50.5107i | 1.06274 | + | 1.84071i | ||||
\(754\) | 3.02696 | − | 49.4838i | 0.110235 | − | 1.80210i | ||||
\(755\) | −10.6471 | − | 8.49082i | −0.387489 | − | 0.309012i | ||||
\(756\) | 42.5650 | + | 69.1697i | 1.54807 | + | 2.51568i | ||||
\(757\) | 8.97552 | − | 7.15774i | 0.326221 | − | 0.260152i | −0.446660 | − | 0.894704i | \(-0.647387\pi\) |
0.772881 | + | 0.634552i | \(0.218815\pi\) | |||||||
\(758\) | 14.4131 | + | 20.5299i | 0.523508 | + | 0.745679i | ||||
\(759\) | 10.4330 | + | 7.11312i | 0.378695 | + | 0.258190i | ||||
\(760\) | 1.73825 | − | 1.75121i | 0.0630529 | − | 0.0635232i | ||||
\(761\) | −9.91839 | + | 1.49496i | −0.359542 | + | 0.0541922i | −0.326329 | − | 0.945256i | \(-0.605812\pi\) |
−0.0332122 | + | 0.999448i | \(0.510574\pi\) | |||||||
\(762\) | −19.3249 | + | 41.5768i | −0.700067 | + | 1.50617i | ||||
\(763\) | −28.5629 | − | 19.4473i | −1.03405 | − | 0.704039i | ||||
\(764\) | 2.75169 | + | 10.6957i | 0.0995527 | + | 0.386957i | ||||
\(765\) | −9.76511 | − | 5.63789i | −0.353058 | − | 0.203838i | ||||
\(766\) | −33.7350 | − | 22.3291i | −1.21890 | − | 0.806783i | ||||
\(767\) | 45.9240 | + | 6.92193i | 1.65822 | + | 0.249936i | ||||
\(768\) | 9.85865 | − | 51.3845i | 0.355743 | − | 1.85418i | ||||
\(769\) | −22.7341 | + | 10.9481i | −0.819811 | + | 0.394800i | −0.796284 | − | 0.604923i | \(-0.793204\pi\) |
−0.0235270 | + | 0.999723i | \(0.507490\pi\) | |||||||
\(770\) | 2.16841 | + | 13.1081i | 0.0781439 | + | 0.472382i | ||||
\(771\) | 2.17504 | − | 4.51652i | 0.0783323 | − | 0.162659i | ||||
\(772\) | −41.6562 | − | 11.6089i | −1.49924 | − | 0.417815i | ||||
\(773\) | 5.77557 | − | 0.432819i | 0.207733 | − | 0.0155674i | 0.0295429 | − | 0.999564i | \(-0.490595\pi\) |
0.178190 | + | 0.983996i | \(0.442976\pi\) | |||||||
\(774\) | 54.5493 | + | 57.1976i | 1.96074 | + | 2.05593i | ||||
\(775\) | −0.0229208 | + | 0.305857i | −0.000823340 | + | 0.0109867i | ||||
\(776\) | 37.2750 | − | 1.53346i | 1.33810 | − | 0.0550481i | ||||
\(777\) | 28.4925 | + | 59.0693i | 1.02216 | + | 2.11910i | ||||
\(778\) | 37.3693 | − | 9.06986i | 1.33975 | − | 0.325170i | ||||
\(779\) | −2.68997 | + | 8.72065i | −0.0963780 | + | 0.312450i | ||||
\(780\) | 35.0297 | − | 21.5256i | 1.25427 | − | 0.770740i | ||||
\(781\) | −18.1620 | − | 19.5739i | −0.649886 | − | 0.700410i | ||||
\(782\) | 1.10010 | − | 1.96721i | 0.0393395 | − | 0.0703472i | ||||
\(783\) | 77.5216 | 2.77039 | ||||||||
\(784\) | −27.1767 | − | 6.74014i | −0.970595 | − | 0.240719i | ||||
\(785\) | 15.3501 | 0.547868 | ||||||||
\(786\) | −16.9701 | + | 30.3461i | −0.605303 | + | 1.08241i | ||||
\(787\) | 21.2740 | + | 22.9279i | 0.758336 | + | 0.817292i | 0.987751 | − | 0.156037i | \(-0.0498719\pi\) |
−0.229415 | + | 0.973329i | \(0.573681\pi\) | |||||||
\(788\) | 0.844889 | − | 0.519180i | 0.0300979 | − | 0.0184950i | ||||
\(789\) | 18.4319 | − | 59.7547i | 0.656193 | − | 2.12732i | ||||
\(790\) | −3.59646 | + | 0.872894i | −0.127956 | + | 0.0310562i | ||||
\(791\) | −0.582771 | − | 0.132624i | −0.0207209 | − | 0.00471557i | ||||
\(792\) | −3.50670 | − | 85.2401i | −0.124605 | − | 3.02887i | ||||
\(793\) | 0.258562 | − | 3.45027i | 0.00918181 | − | 0.122523i | ||||
\(794\) | −10.7176 | − | 11.2379i | −0.380354 | − | 0.398820i | ||||
\(795\) | 6.37464 | − | 0.477713i | 0.226085 | − | 0.0169428i | ||||
\(796\) | 36.5052 | + | 10.1734i | 1.29389 | + | 0.360588i | ||||
\(797\) | −2.22669 | + | 4.62377i | −0.0788734 | + | 0.163782i | −0.936676 | − | 0.350197i | \(-0.886115\pi\) |
0.857803 | + | 0.513979i | \(0.171829\pi\) | |||||||
\(798\) | 6.77763 | + | 9.64095i | 0.239925 | + | 0.341286i | ||||
\(799\) | 4.32197 | − | 2.08135i | 0.152900 | − | 0.0736329i | ||||
\(800\) | 0.148321 | − | 23.6432i | 0.00524393 | − | 0.835912i | ||||
\(801\) | −105.052 | − | 15.8340i | −3.71183 | − | 0.559468i | ||||
\(802\) | −43.3587 | − | 28.6990i | −1.53105 | − | 1.01340i | ||||
\(803\) | 6.57171 | + | 3.79418i | 0.231911 | + | 0.133894i | ||||
\(804\) | −16.0463 | − | 62.3713i | −0.565911 | − | 2.19967i | ||||
\(805\) | 1.72916 | − | 1.60647i | 0.0609449 | − | 0.0566208i | ||||
\(806\) | −0.303605 | + | 0.653194i | −0.0106940 | + | 0.0230078i | ||||
\(807\) | 8.79307 | − | 1.32534i | 0.309531 | − | 0.0466543i | ||||
\(808\) | −7.32742 | − | 7.27316i | −0.257778 | − | 0.255869i | ||||
\(809\) | 8.52813 | + | 5.81438i | 0.299833 | + | 0.204423i | 0.703886 | − | 0.710313i | \(-0.251447\pi\) |
−0.404053 | + | 0.914736i | \(0.632399\pi\) | |||||||
\(810\) | 19.9534 | + | 28.4214i | 0.701090 | + | 0.998625i | ||||
\(811\) | 40.2004 | − | 32.0587i | 1.41163 | − | 1.12573i | 0.437634 | − | 0.899153i | \(-0.355817\pi\) |
0.973992 | − | 0.226581i | \(-0.0727548\pi\) | |||||||
\(812\) | −19.0740 | + | 18.7205i | −0.669367 | + | 0.656961i | ||||
\(813\) | −27.2861 | − | 21.7599i | −0.956966 | − | 0.763155i | ||||
\(814\) | 2.56600 | − | 41.9483i | 0.0899383 | − | 1.47029i | ||||
\(815\) | −5.68163 | − | 9.84087i | −0.199019 | − | 0.344711i | ||||
\(816\) | −20.9884 | + | 2.73588i | −0.734740 | + | 0.0957748i | ||||
\(817\) | 5.12900 | + | 4.75902i | 0.179441 | + | 0.166497i | ||||
\(818\) | −21.7878 | + | 28.1026i | −0.761791 | + | 0.982585i | ||||
\(819\) | 51.6994 | + | 131.482i | 1.80652 | + | 4.59436i | ||||
\(820\) | −7.86817 | − | 15.2542i | −0.274768 | − | 0.532701i | ||||
\(821\) | −11.0485 | + | 4.33623i | −0.385597 | + | 0.151336i | −0.550217 | − | 0.835021i | \(-0.685455\pi\) |
0.164621 | + | 0.986357i | \(0.447360\pi\) | |||||||
\(822\) | −28.0872 | + | 16.7335i | −0.979654 | + | 0.583649i | ||||
\(823\) | −1.49115 | + | 0.459958i | −0.0519781 | + | 0.0160331i | −0.320635 | − | 0.947203i | \(-0.603896\pi\) |
0.268657 | + | 0.963236i | \(0.413420\pi\) | |||||||
\(824\) | −0.772013 | − | 0.203788i | −0.0268943 | − | 0.00709931i | ||||
\(825\) | −11.9236 | − | 52.2408i | −0.415127 | − | 1.81879i | ||||
\(826\) | −15.8892 | − | 19.3486i | −0.552856 | − | 0.673223i | ||||
\(827\) | −11.9334 | − | 2.72371i | −0.414964 | − | 0.0947128i | 0.00994149 | − | 0.999951i | \(-0.496835\pi\) |
−0.424905 | + | 0.905238i | \(0.639693\pi\) | |||||||
\(828\) | −12.2833 | + | 8.87731i | −0.426873 | + | 0.308508i | ||||
\(829\) | 51.3665 | + | 20.1599i | 1.78403 | + | 0.700181i | 0.996470 | + | 0.0839471i | \(0.0267527\pi\) |
0.787563 | + | 0.616234i | \(0.211343\pi\) | |||||||
\(830\) | 3.89831 | − | 10.3475i | 0.135312 | − | 0.359168i | ||||
\(831\) | −32.3487 | + | 22.0549i | −1.12216 | + | 0.765078i | ||||
\(832\) | 19.9012 | − | 51.8369i | 0.689949 | − | 1.79712i | ||||
\(833\) | 0.860821 | + | 11.2942i | 0.0298257 | + | 0.391321i | ||||
\(834\) | 34.8253 | − | 17.3629i | 1.20590 | − | 0.601229i | ||||
\(835\) | −0.396269 | − | 0.581220i | −0.0137135 | − | 0.0201139i | ||||
\(836\) | −0.770558 | − | 7.51266i | −0.0266503 | − | 0.259831i | ||||
\(837\) | −1.04847 | − | 0.411493i | −0.0362403 | − | 0.0142233i | ||||
\(838\) | 4.02496 | + | 24.4274i | 0.139040 | + | 0.843830i | ||||
\(839\) | 5.42746 | − | 23.7792i | 0.187377 | − | 0.820951i | −0.790616 | − | 0.612312i | \(-0.790240\pi\) |
0.977993 | − | 0.208639i | \(-0.0669032\pi\) | |||||||
\(840\) | −21.7958 | − | 4.02582i | −0.752026 | − | 0.138904i | ||||
\(841\) | −0.776633 | − | 3.40265i | −0.0267804 | − | 0.117333i | ||||
\(842\) | −50.3590 | + | 20.5653i | −1.73549 | + | 0.708727i | ||||
\(843\) | −4.20875 | − | 13.6444i | −0.144957 | − | 0.469939i | ||||
\(844\) | −4.15336 | + | 6.46574i | −0.142964 | + | 0.222560i | ||||
\(845\) | 29.6559 | − | 11.6391i | 1.02020 | − | 0.400397i | ||||
\(846\) | −32.2523 | + | 0.442056i | −1.10886 | + | 0.0151982i | ||||
\(847\) | 10.0165 | + | 5.77452i | 0.344170 | + | 0.198415i | ||||
\(848\) | 6.44458 | − | 5.74443i | 0.221308 | − | 0.197264i | ||||
\(849\) | 10.3801 | + | 9.63136i | 0.356245 | + | 0.330547i | ||||
\(850\) | −9.10024 | + | 2.94423i | −0.312136 | + | 0.100986i | ||||
\(851\) | −6.46564 | + | 3.73294i | −0.221639 | + | 0.127964i | ||||
\(852\) | 41.0042 | − | 17.4045i | 1.40478 | − | 0.596268i | ||||
\(853\) | −5.87461 | − | 4.68484i | −0.201143 | − | 0.160406i | 0.517738 | − | 0.855539i | \(-0.326774\pi\) |
−0.718881 | + | 0.695133i | \(0.755345\pi\) | |||||||
\(854\) | −1.34896 | + | 1.28814i | −0.0461605 | + | 0.0440793i | ||||
\(855\) | 4.18467 | + | 5.24740i | 0.143113 | + | 0.179457i | ||||
\(856\) | 20.4826 | + | 0.690194i | 0.700081 | + | 0.0235904i | ||||
\(857\) | 13.2310 | + | 9.02077i | 0.451964 | + | 0.308144i | 0.767823 | − | 0.640663i | \(-0.221340\pi\) |
−0.315859 | + | 0.948806i | \(0.602293\pi\) | |||||||
\(858\) | 17.0484 | − | 124.680i | 0.582021 | − | 4.25650i | ||||
\(859\) | 5.06267 | + | 33.5886i | 0.172736 | + | 1.14603i | 0.892247 | + | 0.451548i | \(0.149128\pi\) |
−0.719511 | + | 0.694481i | \(0.755634\pi\) | |||||||
\(860\) | −13.1542 | + | 0.360657i | −0.448556 | + | 0.0122983i | ||||
\(861\) | 78.3203 | − | 24.2131i | 2.66915 | − | 0.825182i | ||||
\(862\) | −0.363875 | + | 1.70140i | −0.0123936 | + | 0.0579498i | ||||
\(863\) | 15.3656 | − | 26.6140i | 0.523051 | − | 0.905951i | −0.476589 | − | 0.879126i | \(-0.658127\pi\) |
0.999640 | − | 0.0268251i | \(-0.00853973\pi\) | |||||||
\(864\) | 82.8052 | + | 26.1120i | 2.81709 | + | 0.888349i | ||||
\(865\) | 6.36413 | + | 0.959238i | 0.216387 | + | 0.0326151i | ||||
\(866\) | 43.6378 | + | 12.8082i | 1.48287 | + | 0.435241i | ||||
\(867\) | −20.4053 | − | 42.3721i | −0.693001 | − | 1.43903i | ||||
\(868\) | 0.357344 | − | 0.151945i | 0.0121290 | − | 0.00515734i | ||||
\(869\) | −4.91471 | + | 10.2055i | −0.166720 | + | 0.346198i | ||||
\(870\) | −14.1758 | + | 15.7041i | −0.480604 | + | 0.532420i | ||||
\(871\) | −5.10753 | − | 68.1553i | −0.173062 | − | 2.30935i | ||||
\(872\) | −36.6928 | + | 4.27243i | −1.24257 | + | 0.144683i | ||||
\(873\) | −7.58343 | + | 101.194i | −0.256660 | + | 3.42489i | ||||
\(874\) | −1.03734 | + | 0.850769i | −0.0350886 | + | 0.0287777i | ||||
\(875\) | −21.9976 | + | 0.0139799i | −0.743656 | + | 0.000472609i | ||||
\(876\) | −9.67726 | + | 8.16113i | −0.326964 | + | 0.275739i | ||||
\(877\) | −13.3022 | + | 43.1248i | −0.449185 | + | 1.45622i | 0.394257 | + | 0.919000i | \(0.371002\pi\) |
−0.843441 | + | 0.537221i | \(0.819474\pi\) | |||||||
\(878\) | 1.31227 | + | 14.7883i | 0.0442869 | + | 0.499081i | ||||
\(879\) | −58.8297 | + | 54.5859i | −1.98428 | + | 1.84114i | ||||
\(880\) | 10.9257 | + | 9.07585i | 0.368304 | + | 0.305947i | ||||
\(881\) | −8.79571 | −0.296335 | −0.148168 | − | 0.988962i | \(-0.547337\pi\) | ||||
−0.148168 | + | 0.988962i | \(0.547337\pi\) | |||||||
\(882\) | 26.7605 | − | 71.3067i | 0.901074 | − | 2.40102i | ||||
\(883\) | 0.134110i | 0.00451315i | 0.999997 | + | 0.00225657i | \(0.000718290\pi\) | ||||
−0.999997 | + | 0.00225657i | \(0.999282\pi\) | |||||||
\(884\) | −22.4369 | − | 1.06406i | −0.754635 | − | 0.0357883i | ||||
\(885\) | −13.4802 | − | 14.5281i | −0.453130 | − | 0.488358i | ||||
\(886\) | −51.8658 | + | 4.60241i | −1.74246 | + | 0.154621i | ||||
\(887\) | −51.0827 | − | 15.7569i | −1.71519 | − | 0.529065i | −0.727582 | − | 0.686020i | \(-0.759356\pi\) |
−0.987606 | + | 0.156955i | \(0.949832\pi\) | |||||||
\(888\) | 64.3641 | + | 27.7975i | 2.15992 | + | 0.932824i | ||||
\(889\) | 25.5685 | − | 5.85295i | 0.857541 | − | 0.196302i | ||||
\(890\) | 13.6763 | − | 11.2165i | 0.458430 | − | 0.375978i | ||||
\(891\) | 105.989 | + | 7.94279i | 3.55077 | + | 0.266093i | ||||
\(892\) | −7.95863 | + | 22.0359i | −0.266475 | + | 0.737815i | ||||
\(893\) | −2.84735 | + | 0.213379i | −0.0952829 | + | 0.00714047i | ||||
\(894\) | 17.2550 | + | 15.5757i | 0.577094 | + | 0.520931i | ||||
\(895\) | 0.207805 | + | 0.100074i | 0.00694616 | + | 0.00334510i | ||||
\(896\) | −26.6798 | + | 13.5716i | −0.891309 | + | 0.453396i | ||||
\(897\) | −20.1412 | + | 9.69947i | −0.672494 | + | 0.323856i | ||||
\(898\) | −24.8955 | − | 7.30714i | −0.830775 | − | 0.243843i | ||||
\(899\) | 0.0552406 | − | 0.366498i | 0.00184238 | − | 0.0122234i | ||||
\(900\) | 63.8336 | + | 7.83881i | 2.12779 | + | 0.261294i | ||||
\(901\) | −3.02451 | − | 1.74620i | −0.100761 | − | 0.0581744i | ||||
\(902\) | −51.3717 | − | 10.9868i | −1.71049 | − | 0.365820i | ||||
\(903\) | 9.32789 | − | 62.1545i | 0.310413 | − | 2.06837i | ||||
\(904\) | −0.563781 | + | 0.300653i | −0.0187511 | + | 0.00999956i | ||||
\(905\) | 11.1049 | − | 1.67379i | 0.369139 | − | 0.0556387i | ||||
\(906\) | 9.42019 | − | 68.8927i | 0.312965 | − | 2.28881i | ||||
\(907\) | −20.6313 | + | 30.2605i | −0.685050 | + | 1.00478i | 0.313427 | + | 0.949612i | \(0.398523\pi\) |
−0.998477 | + | 0.0551712i | \(0.982430\pi\) | |||||||
\(908\) | 12.9297 | + | 6.99965i | 0.429086 | + | 0.232292i | ||||
\(909\) | 21.9561 | − | 17.5094i | 0.728239 | − | 0.580751i | ||||
\(910\) | −22.0168 | − | 8.27861i | −0.729851 | − | 0.274433i | ||||
\(911\) | 31.7937 | − | 39.8680i | 1.05337 | − | 1.32089i | 0.108265 | − | 0.994122i | \(-0.465471\pi\) |
0.945106 | − | 0.326763i | \(-0.105958\pi\) | |||||||
\(912\) | 12.2243 | + | 3.04827i | 0.404786 | + | 0.100938i | ||||
\(913\) | −16.9218 | − | 29.3094i | −0.560030 | − | 0.970000i | ||||
\(914\) | −22.8133 | + | 7.38087i | −0.754598 | + | 0.244137i | ||||
\(915\) | −1.00426 | + | 1.08233i | −0.0331998 | + | 0.0357809i | ||||
\(916\) | 25.0924 | + | 5.00786i | 0.829075 | + | 0.165464i | ||||
\(917\) | 19.6672 | − | 2.97713i | 0.649467 | − | 0.0983135i | ||||
\(918\) | −0.481365 | − | 35.1203i | −0.0158874 | − | 1.15914i | ||||
\(919\) | −1.33819 | − | 3.40965i | −0.0441428 | − | 0.112474i | 0.907102 | − | 0.420911i | \(-0.138289\pi\) |
−0.951245 | + | 0.308437i | \(0.900194\pi\) | |||||||
\(920\) | 0.273190 | − | 2.50838i | 0.00900682 | − | 0.0826987i | ||||
\(921\) | −39.3092 | + | 12.1253i | −1.29528 | + | 0.399541i | ||||
\(922\) | −19.5603 | + | 7.98793i | −0.644185 | + | 0.263068i | ||||
\(923\) | 46.0877 | − | 10.5192i | 1.51700 | − | 0.346245i | ||||
\(924\) | −51.8314 | + | 43.7674i | −1.70513 | + | 1.43984i | ||||
\(925\) | 30.8877 | + | 7.04992i | 1.01558 | + | 0.231800i | ||||
\(926\) | 2.18125 | − | 0.359410i | 0.0716805 | − | 0.0118110i | ||||
\(927\) | 0.793478 | − | 2.02175i | 0.0260612 | − | 0.0664029i | ||||
\(928\) | −2.31382 | + | 28.4774i | −0.0759549 | + | 0.934816i | ||||
\(929\) | −7.68236 | + | 5.23774i | −0.252050 | + | 0.171845i | −0.682754 | − | 0.730649i | \(-0.739218\pi\) |
0.430704 | + | 0.902493i | \(0.358265\pi\) | |||||||
\(930\) | 0.275085 | − | 0.137149i | 0.00902038 | − | 0.00449731i | ||||
\(931\) | 1.97909 | − | 6.44514i | 0.0648621 | − | 0.211231i | ||||
\(932\) | −25.1960 | + | 33.4351i | −0.825323 | + | 1.09520i | ||||
\(933\) | −46.3890 | − | 68.0402i | −1.51871 | − | 2.22754i | ||||
\(934\) | 31.8502 | + | 11.9992i | 1.04217 | + | 0.392626i | ||||
\(935\) | 2.09919 | − | 5.34864i | 0.0686508 | − | 0.174919i | ||||
\(936\) | 133.795 | + | 70.0777i | 4.37321 | + | 2.29056i | ||||
\(937\) | −10.2788 | + | 45.0345i | −0.335795 | + | 1.47121i | 0.471920 | + | 0.881641i | \(0.343561\pi\) |
−0.807715 | + | 0.589573i | \(0.799296\pi\) | |||||||
\(938\) | −22.5568 | + | 29.1327i | −0.736505 | + | 0.951218i | ||||
\(939\) | −44.0608 | + | 10.0566i | −1.43787 | + | 0.328184i | ||||
\(940\) | 3.54338 | − | 4.03524i | 0.115572 | − | 0.131615i | ||||
\(941\) | 10.8171 | + | 35.0682i | 0.352628 | + | 1.14319i | 0.942080 | + | 0.335388i | \(0.108868\pi\) |
−0.589452 | + | 0.807803i | \(0.700656\pi\) | |||||||
\(942\) | 40.1149 | + | 67.3327i | 1.30701 | + | 2.19382i | ||||
\(943\) | 3.40950 | + | 8.68726i | 0.111029 | + | 0.282896i | ||||
\(944\) | −26.3814 | − | 4.51709i | −0.858641 | − | 0.147019i | ||||
\(945\) | 10.8189 | − | 35.1534i | 0.351940 | − | 1.14354i | ||||
\(946\) | −24.6779 | + | 31.8304i | −0.802348 | + | 1.03490i | ||||
\(947\) | −6.84951 | + | 7.38202i | −0.222579 | + | 0.239883i | −0.834462 | − | 0.551065i | \(-0.814222\pi\) |
0.611883 | + | 0.790948i | \(0.290412\pi\) | |||||||
\(948\) | −13.2277 | − | 13.4946i | −0.429615 | − | 0.438285i | ||||
\(949\) | −11.6345 | + | 6.71718i | −0.377672 | + | 0.218049i | ||||
\(950\) | 5.68255 | + | 0.347605i | 0.184366 | + | 0.0112778i | ||||
\(951\) | 57.4497 | − | 72.0397i | 1.86294 | − | 2.33605i | ||||
\(952\) | 8.59956 | + | 8.52504i | 0.278713 | + | 0.276298i | ||||
\(953\) | −0.279315 | − | 0.350250i | −0.00904790 | − | 0.0113457i | 0.777287 | − | 0.629146i | \(-0.216595\pi\) |
−0.786335 | + | 0.617801i | \(0.788024\pi\) | |||||||
\(954\) | 13.4931 | + | 19.2194i | 0.436856 | + | 0.622253i | ||||
\(955\) | 2.81742 | − | 4.13240i | 0.0911697 | − | 0.133721i | ||||
\(956\) | −37.7456 | + | 12.7860i | −1.22078 | + | 0.413529i | ||||
\(957\) | 9.65076 | + | 64.0286i | 0.311965 | + | 2.06975i | ||||
\(958\) | 19.2829 | + | 8.96271i | 0.623003 | + | 0.289572i | ||||
\(959\) | 17.4157 | + | 6.82238i | 0.562381 | + | 0.220306i | ||||
\(960\) | −20.4317 | + | 11.9996i | −0.659430 | + | 0.387285i | ||||
\(961\) | 15.4973 | − | 26.8421i | 0.499913 | − | 0.865875i | ||||
\(962\) | 62.0439 | + | 41.0667i | 2.00037 | + | 1.32404i | ||||
\(963\) | −8.30856 | + | 55.1237i | −0.267740 | + | 1.77634i | ||||
\(964\) | −30.8956 | + | 5.52667i | −0.995079 | + | 0.178002i | ||||
\(965\) | 8.49700 | + | 17.6442i | 0.273528 | + | 0.567987i | ||||
\(966\) | 11.5656 | + | 3.38667i | 0.372118 | + | 0.108964i | ||||
\(967\) | 27.8781 | + | 13.4254i | 0.896500 | + | 0.431732i | 0.824624 | − | 0.565682i | \(-0.191387\pi\) |
0.0718767 | + | 0.997414i | \(0.477101\pi\) | |||||||
\(968\) | 12.1360 | − | 2.34299i | 0.390064 | − | 0.0753066i | ||||
\(969\) | −0.380867 | − | 5.08232i | −0.0122352 | − | 0.163268i | ||||
\(970\) | −11.6601 | − | 12.2262i | −0.374384 | − | 0.392560i | ||||
\(971\) | 4.97686 | + | 0.372964i | 0.159715 | + | 0.0119690i | 0.154348 | − | 0.988017i | \(-0.450672\pi\) |
0.00536740 | + | 0.999986i | \(0.498291\pi\) | |||||||
\(972\) | −34.8567 | + | 77.7638i | −1.11803 | + | 2.49427i | ||||
\(973\) | −20.0640 | − | 9.64660i | −0.643222 | − | 0.309256i | ||||
\(974\) | 13.2564 | + | 54.6187i | 0.424764 | + | 1.75009i | ||||
\(975\) | 90.6506 | + | 27.9620i | 2.90314 | + | 0.895501i | ||||
\(976\) | −0.188705 | + | 1.98504i | −0.00604029 | + | 0.0635397i | ||||
\(977\) | 32.4929 | − | 30.1490i | 1.03954 | − | 0.964552i | 0.0401396 | − | 0.999194i | \(-0.487220\pi\) |
0.999400 | + | 0.0346425i | \(0.0110293\pi\) | |||||||
\(978\) | 28.3187 | − | 50.6398i | 0.905533 | − | 1.61928i | ||||
\(979\) | − | 54.1363i | − | 1.73020i | ||||||
\(980\) | 5.82714 | + | 11.2621i | 0.186141 | + | 0.359754i | ||||
\(981\) | − | 100.482i | − | 3.20816i | ||||||
\(982\) | 20.9084 | + | 11.6924i | 0.667213 | + | 0.373118i | ||||
\(983\) | −28.0995 | + | 26.0726i | −0.896236 | + | 0.831585i | −0.986404 | − | 0.164341i | \(-0.947450\pi\) |
0.0901677 | + | 0.995927i | \(0.471260\pi\) | |||||||
\(984\) | 46.3501 | − | 74.3779i | 1.47759 | − | 2.37108i | ||||
\(985\) | −0.429138 | − | 0.132371i | −0.0136735 | − | 0.00421771i | ||||
\(986\) | 11.2320 | − | 2.72610i | 0.357698 | − | 0.0868166i | ||||
\(987\) | 16.0045 | + | 20.0429i | 0.509430 | + | 0.637972i | ||||
\(988\) | 12.2005 | + | 5.46876i | 0.388151 | + | 0.173984i | ||||
\(989\) | 7.13491 | + | 0.534688i | 0.226877 | + | 0.0170021i | ||||
\(990\) | −27.9587 | + | 26.6642i | −0.888587 | + | 0.847445i | ||||
\(991\) | 2.84786 | + | 38.0021i | 0.0904654 | + | 1.20718i | 0.839019 | + | 0.544102i | \(0.183130\pi\) |
−0.748554 | + | 0.663074i | \(0.769251\pi\) | |||||||
\(992\) | 0.182455 | − | 0.372870i | 0.00579296 | − | 0.0118386i | ||||
\(993\) | −38.1669 | − | 18.3802i | −1.21119 | − | 0.583278i | ||||
\(994\) | −22.2504 | − | 12.4243i | −0.705741 | − | 0.394075i | ||||
\(995\) | −7.44631 | − | 15.4624i | −0.236064 | − | 0.490192i | ||||
\(996\) | 55.5767 | − | 9.94170i | 1.76102 | − | 0.315015i | ||||
\(997\) | −0.722749 | + | 4.79513i | −0.0228897 | + | 0.151863i | −0.997356 | − | 0.0726706i | \(-0.976848\pi\) |
0.974466 | + | 0.224534i | \(0.0720859\pi\) | |||||||
\(998\) | 7.86164 | − | 11.8774i | 0.248856 | − | 0.375974i | ||||
\(999\) | −58.1718 | + | 100.757i | −1.84047 | + | 3.18780i |
(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 | 392.2.z.a.37.20 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.37.3 | ✓ | 648 | |
49.4 | even | 21 | inner | 392.2.z.a.53.3 | yes | 648 | |
392.53 | even | 42 | inner | 392.2.z.a.53.20 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.37.3 | ✓ | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.37.20 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.53.3 | yes | 648 | 49.4 | even | 21 | inner | |
392.2.z.a.53.20 | yes | 648 | 392.53 | even | 42 | inner |