Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(13,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bc (of order \(24\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 13.12 | ||
Character | \(\chi\) | \(=\) | 288.13 |
Dual form | 288.2.bc.a.133.12 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06040 | + | 0.935708i | −0.749817 | + | 0.661645i | ||||
\(3\) | 1.12868 | − | 1.31380i | 0.651644 | − | 0.758525i | ||||
\(4\) | 0.248901 | − | 1.98445i | 0.124451 | − | 0.992226i | ||||
\(5\) | 0.226472 | − | 1.72022i | 0.101281 | − | 0.769308i | −0.863145 | − | 0.504956i | \(-0.831509\pi\) |
0.964426 | − | 0.264352i | \(-0.0851579\pi\) | |||||||
\(6\) | 0.0324819 | + | 2.44927i | 0.0132607 | + | 0.999912i | ||||
\(7\) | −3.91012 | − | 1.04771i | −1.47789 | − | 0.395999i | −0.572260 | − | 0.820072i | \(-0.693933\pi\) |
−0.905628 | + | 0.424074i | \(0.860600\pi\) | |||||||
\(8\) | 1.59293 | + | 2.33721i | 0.563186 | + | 0.826330i | ||||
\(9\) | −0.452160 | − | 2.96573i | −0.150720 | − | 0.988577i | ||||
\(10\) | 1.36948 | + | 2.03604i | 0.433066 | + | 0.643852i | ||||
\(11\) | 1.87311 | − | 2.44108i | 0.564763 | − | 0.736013i | −0.420456 | − | 0.907313i | \(-0.638130\pi\) |
0.985219 | + | 0.171300i | \(0.0547967\pi\) | |||||||
\(12\) | −2.32625 | − | 2.56682i | −0.671530 | − | 0.740977i | ||||
\(13\) | −5.28160 | + | 4.05272i | −1.46485 | + | 1.12402i | −0.498472 | + | 0.866906i | \(0.666106\pi\) |
−0.966381 | + | 0.257116i | \(0.917228\pi\) | |||||||
\(14\) | 5.12665 | − | 2.54774i | 1.37016 | − | 0.680911i | ||||
\(15\) | −2.00442 | − | 2.23912i | −0.517540 | − | 0.578139i | ||||
\(16\) | −3.87610 | − | 0.987866i | −0.969024 | − | 0.246966i | ||||
\(17\) | − | 1.43138i | − | 0.347161i | −0.984820 | − | 0.173581i | \(-0.944466\pi\) | ||
0.984820 | − | 0.173581i | \(-0.0555337\pi\) | |||||||
\(18\) | 3.25453 | + | 2.72177i | 0.767099 | + | 0.641528i | ||||
\(19\) | −1.19094 | − | 0.493302i | −0.273219 | − | 0.113171i | 0.241867 | − | 0.970309i | \(-0.422240\pi\) |
−0.515087 | + | 0.857138i | \(0.672240\pi\) | |||||||
\(20\) | −3.35733 | − | 0.877589i | −0.750722 | − | 0.196235i | ||||
\(21\) | −5.78977 | + | 3.95460i | −1.26343 | + | 0.862964i | ||||
\(22\) | 0.297893 | + | 4.34120i | 0.0635110 | + | 0.925548i | ||||
\(23\) | −3.11401 | + | 0.834395i | −0.649315 | + | 0.173983i | −0.568419 | − | 0.822739i | \(-0.692445\pi\) |
−0.0808959 | + | 0.996723i | \(0.525778\pi\) | |||||||
\(24\) | 4.86855 | + | 0.545169i | 0.993789 | + | 0.111282i | ||||
\(25\) | 1.92175 | + | 0.514931i | 0.384350 | + | 0.102986i | ||||
\(26\) | 1.80846 | − | 9.23954i | 0.354668 | − | 1.81202i | ||||
\(27\) | −4.40673 | − | 2.75331i | −0.848076 | − | 0.529875i | ||||
\(28\) | −3.05237 | + | 7.49867i | −0.576844 | + | 1.41712i | ||||
\(29\) | 9.16431 | − | 1.20650i | 1.70177 | − | 0.224042i | 0.783890 | − | 0.620900i | \(-0.213233\pi\) |
0.917880 | + | 0.396857i | \(0.129899\pi\) | |||||||
\(30\) | 4.22066 | + | 0.498815i | 0.770583 | + | 0.0910708i | ||||
\(31\) | 5.09391 | − | 8.82292i | 0.914894 | − | 1.58464i | 0.107838 | − | 0.994168i | \(-0.465607\pi\) |
0.807056 | − | 0.590475i | \(-0.201059\pi\) | |||||||
\(32\) | 5.03457 | − | 2.57936i | 0.889995 | − | 0.455971i | ||||
\(33\) | −1.09296 | − | 5.21609i | −0.190260 | − | 0.908005i | ||||
\(34\) | 1.33936 | + | 1.51784i | 0.229698 | + | 0.260307i | ||||
\(35\) | −2.68784 | + | 6.48901i | −0.454327 | + | 1.09684i | ||||
\(36\) | −5.99789 | + | 0.159114i | −0.999648 | + | 0.0265191i | ||||
\(37\) | 2.44916 | − | 1.01448i | 0.402640 | − | 0.166779i | −0.172167 | − | 0.985068i | \(-0.555077\pi\) |
0.574807 | + | 0.818289i | \(0.305077\pi\) | |||||||
\(38\) | 1.72446 | − | 0.591270i | 0.279744 | − | 0.0959167i | ||||
\(39\) | −0.636770 | + | 11.5132i | −0.101965 | + | 1.84359i | ||||
\(40\) | 4.38129 | − | 2.21089i | 0.692742 | − | 0.349572i | ||||
\(41\) | 1.80265 | − | 0.483019i | 0.281527 | − | 0.0754349i | −0.115293 | − | 0.993332i | \(-0.536781\pi\) |
0.396820 | + | 0.917897i | \(0.370114\pi\) | |||||||
\(42\) | 2.43913 | − | 9.61100i | 0.376366 | − | 1.48301i | ||||
\(43\) | 1.77472 | − | 2.31285i | 0.270642 | − | 0.352707i | −0.638184 | − | 0.769884i | \(-0.720314\pi\) |
0.908825 | + | 0.417177i | \(0.136981\pi\) | |||||||
\(44\) | −4.37798 | − | 4.32468i | −0.660006 | − | 0.651969i | ||||
\(45\) | −5.20412 | + | 0.106162i | −0.775785 | + | 0.0158256i | ||||
\(46\) | 2.52135 | − | 3.79859i | 0.371752 | − | 0.560072i | ||||
\(47\) | 8.10225 | − | 4.67784i | 1.18183 | − | 0.682332i | 0.225396 | − | 0.974267i | \(-0.427632\pi\) |
0.956438 | + | 0.291935i | \(0.0942990\pi\) | |||||||
\(48\) | −5.67274 | + | 3.97744i | −0.818789 | + | 0.574095i | ||||
\(49\) | 8.12918 | + | 4.69338i | 1.16131 | + | 0.670483i | ||||
\(50\) | −2.51965 | + | 1.25216i | −0.356332 | + | 0.177082i | ||||
\(51\) | −1.88055 | − | 1.61557i | −0.263330 | − | 0.226226i | ||||
\(52\) | 6.72782 | + | 11.4898i | 0.932981 | + | 1.59335i | ||||
\(53\) | 1.74212 | + | 4.20586i | 0.239299 | + | 0.577719i | 0.997211 | − | 0.0746383i | \(-0.0237802\pi\) |
−0.757912 | + | 0.652357i | \(0.773780\pi\) | |||||||
\(54\) | 7.24920 | − | 1.20380i | 0.986491 | − | 0.163816i | ||||
\(55\) | −3.77500 | − | 3.77500i | −0.509021 | − | 0.509021i | ||||
\(56\) | −3.77983 | − | 10.8077i | −0.505101 | − | 1.44424i | ||||
\(57\) | −1.99229 | + | 1.00788i | −0.263885 | + | 0.133496i | ||||
\(58\) | −8.58891 | + | 9.85450i | −1.12778 | + | 1.29396i | ||||
\(59\) | 0.306361 | − | 2.32704i | 0.0398848 | − | 0.302955i | −0.959862 | − | 0.280471i | \(-0.909509\pi\) |
0.999747 | − | 0.0224837i | \(-0.00715738\pi\) | |||||||
\(60\) | −4.94234 | + | 3.42036i | −0.638053 | + | 0.441566i | ||||
\(61\) | −11.3916 | + | 1.49973i | −1.45855 | + | 0.192021i | −0.817699 | − | 0.575646i | \(-0.804750\pi\) |
−0.640848 | + | 0.767668i | \(0.721417\pi\) | |||||||
\(62\) | 2.85408 | + | 14.1223i | 0.362469 | + | 1.79353i | ||||
\(63\) | −1.33924 | + | 12.0701i | −0.168728 | + | 1.52069i | ||||
\(64\) | −2.92514 | + | 7.44604i | −0.365642 | + | 0.930755i | ||||
\(65\) | 5.77545 | + | 10.0034i | 0.716356 | + | 1.24076i | ||||
\(66\) | 6.03971 | + | 4.50846i | 0.743437 | + | 0.554953i | ||||
\(67\) | −5.43059 | − | 7.07728i | −0.663452 | − | 0.864628i | 0.333491 | − | 0.942753i | \(-0.391773\pi\) |
−0.996944 | + | 0.0781253i | \(0.975107\pi\) | |||||||
\(68\) | −2.84051 | − | 0.356273i | −0.344462 | − | 0.0432045i | ||||
\(69\) | −2.41849 | + | 5.03296i | −0.291152 | + | 0.605897i | ||||
\(70\) | −3.22163 | − | 9.39598i | −0.385059 | − | 1.12303i | ||||
\(71\) | −3.43628 | + | 3.43628i | −0.407812 | + | 0.407812i | −0.880975 | − | 0.473163i | \(-0.843112\pi\) |
0.473163 | + | 0.880975i | \(0.343112\pi\) | |||||||
\(72\) | 6.21129 | − | 5.78100i | 0.732007 | − | 0.681297i | ||||
\(73\) | 8.89183 | + | 8.89183i | 1.04071 | + | 1.04071i | 0.999135 | + | 0.0415742i | \(0.0132373\pi\) |
0.0415742 | + | 0.999135i | \(0.486763\pi\) | |||||||
\(74\) | −1.64784 | + | 3.36745i | −0.191558 | + | 0.391459i | ||||
\(75\) | 2.84556 | − | 1.94361i | 0.328577 | − | 0.224428i | ||||
\(76\) | −1.27536 | + | 2.24057i | −0.146294 | + | 0.257011i | ||||
\(77\) | −9.88163 | + | 7.58244i | −1.12612 | + | 0.864099i | ||||
\(78\) | −10.0978 | − | 12.8045i | −1.14335 | − | 1.44982i | ||||
\(79\) | −0.823181 | + | 0.475264i | −0.0926151 | + | 0.0534713i | −0.545592 | − | 0.838051i | \(-0.683695\pi\) |
0.452977 | + | 0.891522i | \(0.350362\pi\) | |||||||
\(80\) | −2.57718 | + | 6.44403i | −0.288137 | + | 0.720464i | ||||
\(81\) | −8.59110 | + | 2.68197i | −0.954567 | + | 0.297996i | ||||
\(82\) | −1.45957 | + | 2.19895i | −0.161183 | + | 0.242833i | ||||
\(83\) | −0.727691 | − | 5.52736i | −0.0798745 | − | 0.606707i | −0.983833 | − | 0.179087i | \(-0.942686\pi\) |
0.903959 | − | 0.427620i | \(-0.140648\pi\) | |||||||
\(84\) | 6.40663 | + | 12.4738i | 0.699020 | + | 1.36101i | ||||
\(85\) | −2.46230 | − | 0.324168i | −0.267074 | − | 0.0351609i | ||||
\(86\) | 0.282246 | + | 4.11317i | 0.0304353 | + | 0.443534i | ||||
\(87\) | 8.75847 | − | 13.4019i | 0.939007 | − | 1.43683i | ||||
\(88\) | 8.68905 | + | 0.489377i | 0.926256 | + | 0.0521678i | ||||
\(89\) | −1.60670 | + | 1.60670i | −0.170310 | + | 0.170310i | −0.787116 | − | 0.616805i | \(-0.788427\pi\) |
0.616805 | + | 0.787116i | \(0.288427\pi\) | |||||||
\(90\) | 5.41912 | − | 4.98211i | 0.571225 | − | 0.525161i | ||||
\(91\) | 24.8978 | − | 10.3130i | 2.61000 | − | 1.08110i | ||||
\(92\) | 0.880737 | + | 6.38728i | 0.0918231 | + | 0.665920i | ||||
\(93\) | −5.84218 | − | 16.6507i | −0.605806 | − | 1.72659i | ||||
\(94\) | −4.21455 | + | 12.5417i | −0.434697 | + | 1.29358i | ||||
\(95\) | −1.11830 | + | 1.93696i | −0.114735 | + | 0.198728i | ||||
\(96\) | 2.29365 | − | 9.52571i | 0.234095 | − | 0.972214i | ||||
\(97\) | 0.147017 | + | 0.254642i | 0.0149274 | + | 0.0258549i | 0.873393 | − | 0.487017i | \(-0.161915\pi\) |
−0.858465 | + | 0.512872i | \(0.828582\pi\) | |||||||
\(98\) | −13.0118 | + | 2.62967i | −1.31439 | + | 0.265637i | ||||
\(99\) | −8.08652 | − | 4.45137i | −0.812726 | − | 0.447379i | ||||
\(100\) | 1.50018 | − | 3.68545i | 0.150018 | − | 0.368545i | ||||
\(101\) | 3.38893 | + | 2.60042i | 0.337211 | + | 0.258751i | 0.763461 | − | 0.645855i | \(-0.223499\pi\) |
−0.426249 | + | 0.904606i | \(0.640165\pi\) | |||||||
\(102\) | 3.50585 | − | 0.0464941i | 0.347131 | − | 0.00460360i | ||||
\(103\) | 1.34029 | + | 5.00202i | 0.132062 | + | 0.492864i | 0.999993 | − | 0.00382235i | \(-0.00121669\pi\) |
−0.867930 | + | 0.496686i | \(0.834550\pi\) | |||||||
\(104\) | −17.8853 | − | 5.88854i | −1.75380 | − | 0.577418i | ||||
\(105\) | 5.49158 | + | 10.8553i | 0.535923 | + | 1.05937i | ||||
\(106\) | −5.78280 | − | 2.82978i | −0.561676 | − | 0.274852i | ||||
\(107\) | −0.883900 | − | 2.13392i | −0.0854498 | − | 0.206294i | 0.875379 | − | 0.483438i | \(-0.160612\pi\) |
−0.960828 | + | 0.277144i | \(0.910612\pi\) | |||||||
\(108\) | −6.56066 | + | 8.05964i | −0.631300 | + | 0.775539i | ||||
\(109\) | −0.147431 | − | 0.0610679i | −0.0141213 | − | 0.00584925i | 0.375612 | − | 0.926777i | \(-0.377433\pi\) |
−0.389733 | + | 0.920928i | \(0.627433\pi\) | |||||||
\(110\) | 7.53531 | + | 0.470717i | 0.718463 | + | 0.0448811i | ||||
\(111\) | 1.43150 | − | 4.36274i | 0.135872 | − | 0.414093i | ||||
\(112\) | 14.1210 | + | 7.92372i | 1.33431 | + | 0.748721i | ||||
\(113\) | 7.41644 | + | 4.28189i | 0.697680 | + | 0.402806i | 0.806483 | − | 0.591257i | \(-0.201368\pi\) |
−0.108803 | + | 0.994063i | \(0.534702\pi\) | |||||||
\(114\) | 1.16955 | − | 2.93295i | 0.109538 | − | 0.274696i | ||||
\(115\) | 0.730113 | + | 5.54576i | 0.0680833 | + | 0.517144i | ||||
\(116\) | −0.113239 | − | 18.4864i | −0.0105140 | − | 1.71642i | ||||
\(117\) | 14.4074 | + | 13.8313i | 1.33196 | + | 1.27871i | ||||
\(118\) | 1.85256 | + | 2.75426i | 0.170542 | + | 0.253550i | ||||
\(119\) | −1.49968 | + | 5.59688i | −0.137475 | + | 0.513065i | ||||
\(120\) | 2.04040 | − | 8.25153i | 0.186262 | − | 0.753259i | ||||
\(121\) | 0.396668 | + | 1.48039i | 0.0360608 | + | 0.134581i | ||||
\(122\) | 10.6764 | − | 12.2495i | 0.966593 | − | 1.10902i | ||||
\(123\) | 1.40003 | − | 2.91351i | 0.126236 | − | 0.262702i | ||||
\(124\) | −16.2408 | − | 12.3047i | −1.45846 | − | 1.10499i | ||||
\(125\) | 4.64093 | − | 11.2042i | 0.415097 | − | 1.00213i | ||||
\(126\) | −9.87396 | − | 14.0523i | −0.879642 | − | 1.25188i | ||||
\(127\) | 2.92301 | 0.259375 | 0.129688 | − | 0.991555i | \(-0.458603\pi\) | ||||
0.129688 | + | 0.991555i | \(0.458603\pi\) | |||||||
\(128\) | −3.86550 | − | 10.6329i | −0.341665 | − | 0.939822i | ||||
\(129\) | −1.03555 | − | 4.94210i | −0.0911750 | − | 0.435128i | ||||
\(130\) | −15.4845 | − | 5.20345i | −1.35808 | − | 0.456373i | ||||
\(131\) | 5.94333 | + | 7.74549i | 0.519271 | + | 0.676727i | 0.977214 | − | 0.212254i | \(-0.0680805\pi\) |
−0.457944 | + | 0.888981i | \(0.651414\pi\) | |||||||
\(132\) | −10.6231 | + | 0.870633i | −0.924624 | + | 0.0757789i | ||||
\(133\) | 4.13987 | + | 3.17663i | 0.358972 | + | 0.275449i | ||||
\(134\) | 12.3809 | + | 2.42331i | 1.06954 | + | 0.209342i | ||||
\(135\) | −5.73432 | + | 6.95701i | −0.493531 | + | 0.598765i | ||||
\(136\) | 3.34545 | − | 2.28009i | 0.286870 | − | 0.195516i | ||||
\(137\) | 0.335167 | − | 1.25086i | 0.0286352 | − | 0.106868i | −0.950129 | − | 0.311857i | \(-0.899049\pi\) |
0.978764 | + | 0.204989i | \(0.0657157\pi\) | |||||||
\(138\) | −2.14481 | − | 7.59995i | −0.182579 | − | 0.646951i | ||||
\(139\) | −4.07562 | − | 0.536566i | −0.345690 | − | 0.0455109i | −0.0443176 | − | 0.999017i | \(-0.514111\pi\) |
−0.301372 | + | 0.953507i | \(0.597445\pi\) | |||||||
\(140\) | 12.2081 | + | 6.94900i | 1.03177 | + | 0.587298i | ||||
\(141\) | 2.99910 | − | 15.9245i | 0.252569 | − | 1.34109i | ||||
\(142\) | 0.428482 | − | 6.85920i | 0.0359574 | − | 0.575611i | ||||
\(143\) | 20.4840i | 1.71296i | ||||||||
\(144\) | −1.17713 | + | 11.9421i | −0.0980941 | + | 0.995177i | ||||
\(145\) | − | 16.0379i | − | 1.33188i | ||||||
\(146\) | −17.7491 | − | 1.10875i | −1.46892 | − | 0.0917609i | ||||
\(147\) | 15.3414 | − | 5.38281i | 1.26534 | − | 0.443967i | ||||
\(148\) | −1.40358 | − | 5.11275i | −0.115374 | − | 0.420266i | ||||
\(149\) | −13.2374 | − | 1.74274i | −1.08445 | − | 0.142771i | −0.432949 | − | 0.901418i | \(-0.642527\pi\) |
−0.651501 | + | 0.758648i | \(0.725860\pi\) | |||||||
\(150\) | −1.19878 | + | 4.72361i | −0.0978804 | + | 0.385681i | ||||
\(151\) | 0.692177 | − | 2.58324i | 0.0563286 | − | 0.210221i | −0.932026 | − | 0.362393i | \(-0.881960\pi\) |
0.988354 | + | 0.152172i | \(0.0486266\pi\) | |||||||
\(152\) | −0.744128 | − | 3.56927i | −0.0603567 | − | 0.289506i | ||||
\(153\) | −4.24509 | + | 0.647213i | −0.343195 | + | 0.0523241i | ||||
\(154\) | 3.38354 | − | 17.2867i | 0.272654 | − | 1.39301i | ||||
\(155\) | −14.0238 | − | 10.7608i | −1.12642 | − | 0.864330i | ||||
\(156\) | 22.6889 | + | 4.12930i | 1.81657 | + | 0.330608i | ||||
\(157\) | −7.10174 | − | 9.25517i | −0.566781 | − | 0.738643i | 0.418757 | − | 0.908098i | \(-0.362466\pi\) |
−0.985538 | + | 0.169455i | \(0.945799\pi\) | |||||||
\(158\) | 0.428194 | − | 1.27423i | 0.0340653 | − | 0.101372i | ||||
\(159\) | 7.49197 | + | 2.45826i | 0.594152 | + | 0.194953i | ||||
\(160\) | −3.29689 | − | 9.24474i | −0.260642 | − | 0.730861i | ||||
\(161\) | 13.0504 | 1.02851 | ||||||||
\(162\) | 6.60048 | − | 10.8827i | 0.518583 | − | 0.855027i | ||||
\(163\) | −4.91332 | + | 11.8618i | −0.384841 | + | 0.929089i | 0.606173 | + | 0.795333i | \(0.292704\pi\) |
−0.991014 | + | 0.133756i | \(0.957296\pi\) | |||||||
\(164\) | −0.509846 | − | 3.69750i | −0.0398123 | − | 0.288726i | ||||
\(165\) | −9.22037 | + | 0.698838i | −0.717805 | + | 0.0544045i | ||||
\(166\) | 5.94364 | + | 5.18032i | 0.461316 | + | 0.402071i | ||||
\(167\) | −1.63143 | − | 6.08859i | −0.126244 | − | 0.471149i | 0.873637 | − | 0.486578i | \(-0.161755\pi\) |
−0.999881 | + | 0.0154292i | \(0.995089\pi\) | |||||||
\(168\) | −18.4655 | − | 7.23253i | −1.42464 | − | 0.558002i | ||||
\(169\) | 8.10617 | − | 30.2526i | 0.623552 | − | 2.32713i | ||||
\(170\) | 2.91435 | − | 1.96024i | 0.223520 | − | 0.150344i | ||||
\(171\) | −0.924507 | + | 3.75505i | −0.0706988 | + | 0.287156i | ||||
\(172\) | −4.14802 | − | 4.09751i | −0.316283 | − | 0.312432i | ||||
\(173\) | −1.44430 | − | 10.9705i | −0.109808 | − | 0.834074i | −0.954372 | − | 0.298620i | \(-0.903474\pi\) |
0.844564 | − | 0.535454i | \(-0.179860\pi\) | |||||||
\(174\) | 3.25274 | + | 22.4067i | 0.246589 | + | 1.69865i | ||||
\(175\) | −6.97477 | − | 4.02689i | −0.527243 | − | 0.304404i | ||||
\(176\) | −9.67180 | + | 7.61148i | −0.729039 | + | 0.573737i | ||||
\(177\) | −2.71149 | − | 3.02898i | −0.203808 | − | 0.227672i | ||||
\(178\) | 0.200345 | − | 3.20716i | 0.0150165 | − | 0.240386i | ||||
\(179\) | 9.18365 | + | 3.80399i | 0.686419 | + | 0.284324i | 0.698507 | − | 0.715603i | \(-0.253848\pi\) |
−0.0120886 | + | 0.999927i | \(0.503848\pi\) | |||||||
\(180\) | −1.08464 | + | 10.3537i | −0.0808443 | + | 0.771723i | ||||
\(181\) | 2.48949 | + | 6.01017i | 0.185043 | + | 0.446732i | 0.988993 | − | 0.147964i | \(-0.0472721\pi\) |
−0.803950 | + | 0.594697i | \(0.797272\pi\) | |||||||
\(182\) | −16.7517 | + | 34.2330i | −1.24172 | + | 2.53752i | ||||
\(183\) | −10.8871 | + | 16.6591i | −0.804800 | + | 1.23147i | ||||
\(184\) | −6.91056 | − | 5.94896i | −0.509453 | − | 0.438563i | ||||
\(185\) | −1.19046 | − | 4.44286i | −0.0875244 | − | 0.326646i | ||||
\(186\) | 21.7752 | + | 12.1898i | 1.59664 | + | 0.893800i | ||||
\(187\) | −3.49412 | − | 2.68113i | −0.255515 | − | 0.196064i | ||||
\(188\) | −7.26628 | − | 17.2428i | −0.529948 | − | 1.25756i | ||||
\(189\) | 14.3462 | + | 15.3828i | 1.04353 | + | 1.11893i | ||||
\(190\) | −0.626577 | − | 3.10036i | −0.0454567 | − | 0.224924i | ||||
\(191\) | 11.7096 | + | 20.2816i | 0.847275 | + | 1.46752i | 0.883631 | + | 0.468185i | \(0.155092\pi\) |
−0.0363552 | + | 0.999339i | \(0.511575\pi\) | |||||||
\(192\) | 6.48109 | + | 12.2473i | 0.467733 | + | 0.883870i | ||||
\(193\) | −5.64624 | + | 9.77958i | −0.406426 | + | 0.703950i | −0.994486 | − | 0.104867i | \(-0.966558\pi\) |
0.588061 | + | 0.808817i | \(0.299892\pi\) | |||||||
\(194\) | −0.394168 | − | 0.132457i | −0.0282996 | − | 0.00950985i | ||||
\(195\) | 19.6611 | + | 3.70281i | 1.40796 | + | 0.265163i | ||||
\(196\) | 11.3372 | − | 14.9638i | 0.809797 | − | 1.06884i | ||||
\(197\) | 22.3777 | − | 9.26913i | 1.59434 | − | 0.660398i | 0.603741 | − | 0.797180i | \(-0.293676\pi\) |
0.990601 | + | 0.136782i | \(0.0436759\pi\) | |||||||
\(198\) | 12.7401 | − | 2.84639i | 0.905402 | − | 0.202284i | ||||
\(199\) | 5.82964 | − | 5.82964i | 0.413253 | − | 0.413253i | −0.469617 | − | 0.882870i | \(-0.655608\pi\) |
0.882870 | + | 0.469617i | \(0.155608\pi\) | |||||||
\(200\) | 1.85771 | + | 5.31179i | 0.131360 | + | 0.375600i | ||||
\(201\) | −15.4276 | − | 0.853264i | −1.08818 | − | 0.0601846i | ||||
\(202\) | −6.02686 | + | 0.413563i | −0.424048 | + | 0.0290982i | ||||
\(203\) | −37.0977 | − | 4.88400i | −2.60375 | − | 0.342790i | ||||
\(204\) | −3.67410 | + | 3.32975i | −0.257238 | + | 0.233129i | ||||
\(205\) | −0.422652 | − | 3.21036i | −0.0295193 | − | 0.224221i | ||||
\(206\) | −6.10167 | − | 4.05003i | −0.425124 | − | 0.282179i | ||||
\(207\) | 3.88262 | + | 8.85802i | 0.269861 | + | 0.615675i | ||||
\(208\) | 24.4755 | − | 10.4912i | 1.69707 | − | 0.727434i | ||||
\(209\) | −3.43494 | + | 1.98316i | −0.237600 | + | 0.137178i | ||||
\(210\) | −15.9807 | − | 6.37247i | −1.10277 | − | 0.439742i | ||||
\(211\) | −0.0767573 | + | 0.0588979i | −0.00528419 | + | 0.00405470i | −0.611400 | − | 0.791322i | \(-0.709393\pi\) |
0.606116 | + | 0.795376i | \(0.292727\pi\) | |||||||
\(212\) | 8.77994 | − | 2.41031i | 0.603009 | − | 0.165541i | ||||
\(213\) | 0.636134 | + | 8.39307i | 0.0435872 | + | 0.575083i | ||||
\(214\) | 2.93402 | + | 1.43574i | 0.200565 | + | 0.0981454i | ||||
\(215\) | −3.57670 | − | 3.57670i | −0.243929 | − | 0.243929i | ||||
\(216\) | −0.584538 | − | 14.6853i | −0.0397727 | − | 0.999209i | ||||
\(217\) | −29.1617 | + | 29.1617i | −1.97963 | + | 1.97963i | ||||
\(218\) | 0.213478 | − | 0.0731959i | 0.0144585 | − | 0.00495745i | ||||
\(219\) | 21.7181 | − | 1.64608i | 1.46758 | − | 0.111232i | ||||
\(220\) | −8.43090 | + | 6.55170i | −0.568411 | + | 0.441715i | ||||
\(221\) | 5.80099 | + | 7.55999i | 0.390217 | + | 0.508540i | ||||
\(222\) | 2.56429 | + | 5.96572i | 0.172104 | + | 0.400393i | ||||
\(223\) | −0.990320 | − | 1.71529i | −0.0663168 | − | 0.114864i | 0.830961 | − | 0.556331i | \(-0.187791\pi\) |
−0.897277 | + | 0.441467i | \(0.854458\pi\) | |||||||
\(224\) | −22.3882 | + | 4.81082i | −1.49588 | + | 0.321437i | ||||
\(225\) | 0.658209 | − | 5.93221i | 0.0438806 | − | 0.395481i | ||||
\(226\) | −11.8710 | + | 2.39911i | −0.789647 | + | 0.159586i | ||||
\(227\) | −25.5873 | + | 3.36863i | −1.69829 | + | 0.223584i | −0.916520 | − | 0.399988i | \(-0.869014\pi\) |
−0.781766 | + | 0.623572i | \(0.785681\pi\) | |||||||
\(228\) | 1.50420 | + | 4.20446i | 0.0996179 | + | 0.278447i | ||||
\(229\) | −2.06747 | + | 15.7040i | −0.136622 | + | 1.03775i | 0.776516 | + | 0.630098i | \(0.216985\pi\) |
−0.913138 | + | 0.407651i | \(0.866348\pi\) | |||||||
\(230\) | −5.96342 | − | 5.19755i | −0.393216 | − | 0.342717i | ||||
\(231\) | −1.19137 | + | 21.5407i | −0.0783862 | + | 1.41727i | ||||
\(232\) | 17.4180 | + | 19.4971i | 1.14355 | + | 1.28005i | ||||
\(233\) | 9.54703 | + | 9.54703i | 0.625446 | + | 0.625446i | 0.946919 | − | 0.321472i | \(-0.104178\pi\) |
−0.321472 | + | 0.946919i | \(0.604178\pi\) | |||||||
\(234\) | −28.2197 | − | 1.18565i | −1.84478 | − | 0.0775086i | ||||
\(235\) | −6.21199 | − | 14.9971i | −0.405226 | − | 0.978302i | ||||
\(236\) | −4.54165 | − | 1.18716i | −0.295636 | − | 0.0772777i | ||||
\(237\) | −0.304705 | + | 1.61792i | −0.0197927 | + | 0.105095i | ||||
\(238\) | −3.64678 | − | 7.33820i | −0.236386 | − | 0.475665i | ||||
\(239\) | 3.00582 | + | 1.73541i | 0.194430 | + | 0.112254i | 0.594055 | − | 0.804425i | \(-0.297526\pi\) |
−0.399625 | + | 0.916679i | \(0.630860\pi\) | |||||||
\(240\) | 5.55738 | + | 10.6592i | 0.358727 | + | 0.688046i | ||||
\(241\) | 12.3195 | − | 7.11267i | 0.793569 | − | 0.458167i | −0.0476485 | − | 0.998864i | \(-0.515173\pi\) |
0.841217 | + | 0.540697i | \(0.181839\pi\) | |||||||
\(242\) | −1.80584 | − | 1.19864i | −0.116084 | − | 0.0770514i | ||||
\(243\) | −6.17304 | + | 14.3141i | −0.396000 | + | 0.918250i | ||||
\(244\) | 0.140761 | + | 22.9794i | 0.00901129 | + | 1.47110i | ||||
\(245\) | 9.91470 | − | 12.9211i | 0.633427 | − | 0.825498i | ||||
\(246\) | 1.24160 | + | 4.39950i | 0.0791616 | + | 0.280502i | ||||
\(247\) | 8.28926 | − | 2.22110i | 0.527433 | − | 0.141325i | ||||
\(248\) | 28.7353 | − | 2.14874i | 1.82469 | − | 0.136445i | ||||
\(249\) | −8.08320 | − | 5.28259i | −0.512252 | − | 0.334770i | ||||
\(250\) | 5.56260 | + | 16.2235i | 0.351810 | + | 1.02606i | ||||
\(251\) | −16.7760 | + | 6.94886i | −1.05889 | + | 0.438608i | −0.843059 | − | 0.537822i | \(-0.819247\pi\) |
−0.215835 | + | 0.976430i | \(0.569247\pi\) | |||||||
\(252\) | 23.6192 | + | 5.66192i | 1.48787 | + | 0.356667i | ||||
\(253\) | −3.79604 | + | 9.16445i | −0.238655 | + | 0.576164i | ||||
\(254\) | −3.09957 | + | 2.73509i | −0.194484 | + | 0.171615i | ||||
\(255\) | −3.20504 | + | 2.86909i | −0.200707 | + | 0.179670i | ||||
\(256\) | 14.0482 | + | 7.65813i | 0.878015 | + | 0.478633i | ||||
\(257\) | 11.2836 | − | 19.5438i | 0.703854 | − | 1.21911i | −0.263249 | − | 0.964728i | \(-0.584794\pi\) |
0.967104 | − | 0.254383i | \(-0.0818724\pi\) | |||||||
\(258\) | 5.72246 | + | 4.27164i | 0.356265 | + | 0.265941i | ||||
\(259\) | −10.6394 | + | 1.40071i | −0.661101 | + | 0.0870356i | ||||
\(260\) | 21.2887 | − | 8.97124i | 1.32027 | − | 0.556373i | ||||
\(261\) | −7.72190 | − | 26.6333i | −0.477974 | − | 1.64856i | ||||
\(262\) | −13.5498 | − | 2.65211i | −0.837111 | − | 0.163848i | ||||
\(263\) | 7.92004 | + | 2.12217i | 0.488371 | + | 0.130859i | 0.494598 | − | 0.869122i | \(-0.335315\pi\) |
−0.00622698 | + | 0.999981i | \(0.501982\pi\) | |||||||
\(264\) | 10.4501 | − | 10.8634i | 0.643160 | − | 0.668593i | ||||
\(265\) | 7.62956 | − | 2.04433i | 0.468680 | − | 0.125582i | ||||
\(266\) | −7.36232 | + | 0.505202i | −0.451413 | + | 0.0309759i | ||||
\(267\) | 0.297437 | + | 3.92435i | 0.0182029 | + | 0.240166i | ||||
\(268\) | −15.3962 | + | 9.01520i | −0.940473 | + | 0.550691i | ||||
\(269\) | −25.4457 | − | 10.5399i | −1.55145 | − | 0.642631i | −0.567871 | − | 0.823117i | \(-0.692233\pi\) |
−0.983577 | + | 0.180486i | \(0.942233\pi\) | |||||||
\(270\) | −0.429059 | − | 12.7429i | −0.0261117 | − | 0.775506i | ||||
\(271\) | − | 17.5837i | − | 1.06813i | −0.845442 | − | 0.534067i | \(-0.820663\pi\) | ||
0.845442 | − | 0.534067i | \(-0.179337\pi\) | |||||||
\(272\) | −1.41401 | + | 5.54817i | −0.0857372 | + | 0.336408i | ||||
\(273\) | 14.5524 | − | 44.3509i | 0.880752 | − | 2.68424i | ||||
\(274\) | 0.815028 | + | 1.64003i | 0.0492376 | + | 0.0990779i | ||||
\(275\) | 4.85662 | − | 3.72662i | 0.292865 | − | 0.224724i | ||||
\(276\) | 9.38570 | + | 6.05208i | 0.564953 | + | 0.364292i | ||||
\(277\) | 1.38278 | − | 1.80207i | 0.0830830 | − | 0.108276i | −0.749963 | − | 0.661480i | \(-0.769929\pi\) |
0.833045 | + | 0.553204i | \(0.186595\pi\) | |||||||
\(278\) | 4.82386 | − | 3.24462i | 0.289316 | − | 0.194599i | ||||
\(279\) | −28.4697 | − | 11.1178i | −1.70443 | − | 0.665606i | ||||
\(280\) | −19.4477 | + | 4.05450i | −1.16223 | + | 0.242303i | ||||
\(281\) | 9.49178 | + | 2.54332i | 0.566232 | + | 0.151722i | 0.530568 | − | 0.847642i | \(-0.321979\pi\) |
0.0356643 | + | 0.999364i | \(0.488645\pi\) | |||||||
\(282\) | 11.7205 | + | 19.6927i | 0.697944 | + | 1.17268i | ||||
\(283\) | −3.84409 | + | 29.1987i | −0.228507 | + | 1.73568i | 0.365135 | + | 0.930955i | \(0.381023\pi\) |
−0.593642 | + | 0.804729i | \(0.702310\pi\) | |||||||
\(284\) | 5.96384 | + | 7.67443i | 0.353889 | + | 0.455394i | ||||
\(285\) | 1.28258 | + | 3.65544i | 0.0759732 | + | 0.216529i | ||||
\(286\) | −19.1670 | − | 21.7212i | −1.13337 | − | 1.28440i | ||||
\(287\) | −7.55466 | −0.445938 | ||||||||
\(288\) | −9.92611 | − | 13.7649i | −0.584902 | − | 0.811104i | ||||
\(289\) | 14.9511 | 0.879479 | ||||||||
\(290\) | 15.0068 | + | 17.0066i | 0.881230 | + | 0.998663i | ||||
\(291\) | 0.500485 | + | 0.0942571i | 0.0293389 | + | 0.00552545i | ||||
\(292\) | 19.8586 | − | 15.4322i | 1.16214 | − | 0.903102i | ||||
\(293\) | 1.87236 | − | 14.2220i | 0.109385 | − | 0.830859i | −0.845519 | − | 0.533945i | \(-0.820709\pi\) |
0.954904 | − | 0.296914i | \(-0.0959576\pi\) | |||||||
\(294\) | −11.2313 | + | 20.0630i | −0.655025 | + | 1.17010i | ||||
\(295\) | −3.93365 | − | 1.05402i | −0.229026 | − | 0.0613673i | ||||
\(296\) | 6.27240 | + | 4.10823i | 0.364576 | + | 0.238786i | ||||
\(297\) | −14.9753 | + | 5.59993i | −0.868956 | + | 0.324941i | ||||
\(298\) | 15.6676 | − | 10.5383i | 0.907602 | − | 0.610469i | ||||
\(299\) | 13.0654 | − | 17.0271i | 0.755590 | − | 0.984704i | ||||
\(300\) | −3.14873 | − | 6.13064i | −0.181792 | − | 0.353953i | ||||
\(301\) | −9.36257 | + | 7.18415i | −0.539649 | + | 0.414088i | ||||
\(302\) | 1.68317 | + | 3.38695i | 0.0968557 | + | 0.194897i | ||||
\(303\) | 7.24146 | − | 1.51735i | 0.416011 | − | 0.0871693i | ||||
\(304\) | 4.12887 | + | 3.08857i | 0.236807 | + | 0.177142i | ||||
\(305\) | 19.9358i | 1.14152i | ||||||||
\(306\) | 3.89590 | − | 4.65847i | 0.222714 | − | 0.266307i | ||||
\(307\) | −4.88742 | − | 2.02444i | −0.278940 | − | 0.115541i | 0.238828 | − | 0.971062i | \(-0.423237\pi\) |
−0.517768 | + | 0.855521i | \(0.673237\pi\) | |||||||
\(308\) | 12.5874 | + | 21.4969i | 0.717236 | + | 1.22490i | ||||
\(309\) | 8.08443 | + | 3.88481i | 0.459907 | + | 0.220999i | ||||
\(310\) | 24.9398 | − | 1.71137i | 1.41649 | − | 0.0971992i | ||||
\(311\) | 12.0325 | − | 3.22410i | 0.682300 | − | 0.182822i | 0.0990110 | − | 0.995086i | \(-0.468432\pi\) |
0.583289 | + | 0.812265i | \(0.301765\pi\) | |||||||
\(312\) | −27.9232 | + | 16.8515i | −1.58084 | + | 0.954028i | ||||
\(313\) | 13.7087 | + | 3.67323i | 0.774860 | + | 0.207623i | 0.624518 | − | 0.781011i | \(-0.285296\pi\) |
0.150343 | + | 0.988634i | \(0.451962\pi\) | |||||||
\(314\) | 16.1908 | + | 3.16904i | 0.913702 | + | 0.178839i | ||||
\(315\) | 20.4600 | + | 5.03733i | 1.15279 | + | 0.283821i | ||||
\(316\) | 0.738247 | + | 1.75186i | 0.0415296 | + | 0.0985496i | ||||
\(317\) | −10.1840 | + | 1.34075i | −0.571989 | + | 0.0753038i | −0.410972 | − | 0.911648i | \(-0.634811\pi\) |
−0.161017 | + | 0.986952i | \(0.551477\pi\) | |||||||
\(318\) | −10.2447 | + | 4.40355i | −0.574495 | + | 0.246939i | ||||
\(319\) | 14.2206 | − | 24.6307i | 0.796198 | − | 1.37906i | ||||
\(320\) | 12.1464 | + | 6.71821i | 0.679005 | + | 0.375559i | ||||
\(321\) | −3.80120 | − | 1.24725i | −0.212162 | − | 0.0696146i | ||||
\(322\) | −13.8386 | + | 12.2113i | −0.771196 | + | 0.680510i | ||||
\(323\) | −0.706104 | + | 1.70468i | −0.0392887 | + | 0.0948512i | ||||
\(324\) | 3.18389 | + | 17.7162i | 0.176883 | + | 0.984232i | ||||
\(325\) | −12.2368 | + | 5.06864i | −0.678774 | + | 0.281158i | ||||
\(326\) | −5.88910 | − | 17.1757i | −0.326167 | − | 0.951275i | ||||
\(327\) | −0.246634 | + | 0.124769i | −0.0136389 | + | 0.00689975i | ||||
\(328\) | 4.00042 | + | 3.44377i | 0.220886 | + | 0.190150i | ||||
\(329\) | −36.5818 | + | 9.80207i | −2.01682 | + | 0.540406i | ||||
\(330\) | 9.12338 | − | 9.36862i | 0.502226 | − | 0.515726i | ||||
\(331\) | 6.78704 | − | 8.84505i | 0.373050 | − | 0.486168i | −0.568670 | − | 0.822566i | \(-0.692542\pi\) |
0.941720 | + | 0.336398i | \(0.109209\pi\) | |||||||
\(332\) | −11.1499 | + | 0.0682990i | −0.611931 | + | 0.00374840i | ||||
\(333\) | −4.11608 | − | 6.80485i | −0.225560 | − | 0.372904i | ||||
\(334\) | 7.42711 | + | 4.92980i | 0.406394 | + | 0.269747i | ||||
\(335\) | −13.4044 | + | 7.73903i | −0.732360 | + | 0.422828i | ||||
\(336\) | 26.3483 | − | 9.60889i | 1.43742 | − | 0.524208i | ||||
\(337\) | −9.38070 | − | 5.41595i | −0.510999 | − | 0.295026i | 0.222245 | − | 0.974991i | \(-0.428661\pi\) |
−0.733244 | + | 0.679965i | \(0.761995\pi\) | |||||||
\(338\) | 19.7118 | + | 39.6649i | 1.07218 | + | 2.15749i | ||||
\(339\) | 13.9964 | − | 4.91087i | 0.760178 | − | 0.266722i | ||||
\(340\) | −1.25616 | + | 4.80563i | −0.0681251 | + | 0.260622i | ||||
\(341\) | −11.9960 | − | 28.9609i | −0.649620 | − | 1.56832i | ||||
\(342\) | −2.53328 | − | 4.84692i | −0.136984 | − | 0.262092i | ||||
\(343\) | −6.83191 | − | 6.83191i | −0.368888 | − | 0.368888i | ||||
\(344\) | 8.23264 | + | 0.463671i | 0.443874 | + | 0.0249995i | ||||
\(345\) | 8.11010 | + | 5.30016i | 0.436633 | + | 0.285351i | ||||
\(346\) | 11.7967 | + | 10.2817i | 0.634197 | + | 0.552749i | ||||
\(347\) | −3.20940 | + | 24.3778i | −0.172290 | + | 1.30867i | 0.658710 | + | 0.752397i | \(0.271103\pi\) |
−0.830999 | + | 0.556273i | \(0.812231\pi\) | |||||||
\(348\) | −24.4154 | − | 20.7165i | −1.30880 | − | 1.11052i | ||||
\(349\) | −3.87824 | + | 0.510580i | −0.207598 | + | 0.0273307i | −0.233608 | − | 0.972331i | \(-0.575053\pi\) |
0.0260101 | + | 0.999662i | \(0.491720\pi\) | |||||||
\(350\) | 11.1640 | − | 2.25623i | 0.596743 | − | 0.120601i | ||||
\(351\) | 34.4330 | − | 3.31732i | 1.83790 | − | 0.177065i | ||||
\(352\) | 3.13386 | − | 17.1212i | 0.167035 | − | 0.912563i | ||||
\(353\) | −13.3392 | − | 23.1041i | −0.709973 | − | 1.22971i | −0.964867 | − | 0.262740i | \(-0.915374\pi\) |
0.254893 | − | 0.966969i | \(-0.417960\pi\) | |||||||
\(354\) | 5.70951 | + | 0.674775i | 0.303457 | + | 0.0358639i | ||||
\(355\) | 5.13296 | + | 6.68940i | 0.272429 | + | 0.355036i | ||||
\(356\) | 2.78851 | + | 3.58834i | 0.147791 | + | 0.190181i | ||||
\(357\) | 5.66054 | + | 8.28738i | 0.299588 | + | 0.438614i | ||||
\(358\) | −13.2978 | + | 4.55946i | −0.702810 | + | 0.240975i | ||||
\(359\) | 14.1337 | − | 14.1337i | 0.745946 | − | 0.745946i | −0.227770 | − | 0.973715i | \(-0.573143\pi\) |
0.973715 | + | 0.227770i | \(0.0731433\pi\) | |||||||
\(360\) | −8.53793 | − | 11.9940i | −0.449988 | − | 0.632141i | ||||
\(361\) | −12.2600 | − | 12.2600i | −0.645266 | − | 0.645266i | ||||
\(362\) | −8.26362 | − | 4.04375i | −0.434326 | − | 0.212535i | ||||
\(363\) | 2.39265 | + | 1.14974i | 0.125581 | + | 0.0603457i | ||||
\(364\) | −14.2686 | − | 51.9754i | −0.747876 | − | 2.72425i | ||||
\(365\) | 17.3097 | − | 13.2822i | 0.906030 | − | 0.695221i | ||||
\(366\) | −4.04328 | − | 27.8525i | −0.211346 | − | 1.45587i | ||||
\(367\) | −26.5535 | + | 15.3307i | −1.38608 | + | 0.800256i | −0.992871 | − | 0.119192i | \(-0.961970\pi\) |
−0.393212 | + | 0.919448i | \(0.628636\pi\) | |||||||
\(368\) | 12.8945 | − | 0.157977i | 0.672170 | − | 0.00823510i | ||||
\(369\) | −2.24759 | − | 5.12778i | −0.117005 | − | 0.266941i | ||||
\(370\) | 5.41959 | + | 3.59729i | 0.281751 | + | 0.187014i | ||||
\(371\) | −2.40538 | − | 18.2707i | −0.124881 | − | 0.948566i | ||||
\(372\) | −34.4966 | + | 7.44915i | −1.78856 | + | 0.386220i | ||||
\(373\) | −8.57693 | − | 1.12917i | −0.444097 | − | 0.0584665i | −0.0948379 | − | 0.995493i | \(-0.530233\pi\) |
−0.349259 | + | 0.937026i | \(0.613567\pi\) | |||||||
\(374\) | 6.21392 | − | 0.426399i | 0.321314 | − | 0.0220486i | ||||
\(375\) | −9.48198 | − | 18.7432i | −0.489647 | − | 0.967896i | ||||
\(376\) | 23.8394 | + | 11.4852i | 1.22942 | + | 0.592305i | ||||
\(377\) | −43.5126 | + | 43.5126i | −2.24102 | + | 2.24102i | ||||
\(378\) | −29.6065 | − | 2.88810i | −1.52279 | − | 0.148548i | ||||
\(379\) | −13.6939 | + | 5.67222i | −0.703411 | + | 0.291362i | −0.705575 | − | 0.708635i | \(-0.749311\pi\) |
0.00216403 | + | 0.999998i | \(0.499311\pi\) | |||||||
\(380\) | 3.56545 | + | 2.70133i | 0.182904 | + | 0.138575i | ||||
\(381\) | 3.29915 | − | 3.84026i | 0.169020 | − | 0.196743i | ||||
\(382\) | −31.3945 | − | 10.5499i | −1.60628 | − | 0.539778i | ||||
\(383\) | 10.4039 | − | 18.0200i | 0.531612 | − | 0.920780i | −0.467707 | − | 0.883884i | \(-0.654920\pi\) |
0.999319 | − | 0.0368960i | \(-0.0117470\pi\) | |||||||
\(384\) | −18.3324 | − | 6.92260i | −0.935522 | − | 0.353268i | ||||
\(385\) | 10.8056 | + | 18.7158i | 0.550704 | + | 0.953847i | ||||
\(386\) | −3.16355 | − | 15.6535i | −0.161020 | − | 0.796743i | ||||
\(387\) | −7.66176 | − | 4.21755i | −0.389469 | − | 0.214390i | ||||
\(388\) | 0.541917 | − | 0.228368i | 0.0275117 | − | 0.0115936i | ||||
\(389\) | −3.48406 | − | 2.67341i | −0.176649 | − | 0.135547i | 0.516653 | − | 0.856195i | \(-0.327178\pi\) |
−0.693301 | + | 0.720648i | \(0.743845\pi\) | |||||||
\(390\) | −24.3134 | + | 14.4706i | −1.23116 | + | 0.732746i | ||||
\(391\) | 1.19434 | + | 4.45733i | 0.0604003 | + | 0.225417i | ||||
\(392\) | 1.97978 | + | 26.4759i | 0.0999942 | + | 1.33723i | ||||
\(393\) | 16.8842 | + | 0.933826i | 0.851694 | + | 0.0471053i | ||||
\(394\) | −15.0561 | + | 30.7680i | −0.758516 | + | 1.55007i | ||||
\(395\) | 0.631133 | + | 1.52369i | 0.0317557 | + | 0.0766651i | ||||
\(396\) | −10.8463 | + | 14.9394i | −0.545046 | + | 0.750731i | ||||
\(397\) | 6.92854 | + | 2.86989i | 0.347733 | + | 0.144036i | 0.549712 | − | 0.835354i | \(-0.314737\pi\) |
−0.201979 | + | 0.979390i | \(0.564737\pi\) | |||||||
\(398\) | −0.726918 | + | 11.6366i | −0.0364371 | + | 0.583290i | ||||
\(399\) | 8.84606 | − | 1.85357i | 0.442857 | − | 0.0927945i | ||||
\(400\) | −6.94020 | − | 3.89435i | −0.347010 | − | 0.194718i | ||||
\(401\) | −12.9177 | − | 7.45804i | −0.645079 | − | 0.372437i | 0.141489 | − | 0.989940i | \(-0.454811\pi\) |
−0.786568 | + | 0.617503i | \(0.788144\pi\) | |||||||
\(402\) | 17.1578 | − | 13.5309i | 0.855754 | − | 0.674860i | ||||
\(403\) | 8.85276 | + | 67.2434i | 0.440987 | + | 3.34963i | ||||
\(404\) | 6.00391 | − | 6.07792i | 0.298706 | − | 0.302388i | ||||
\(405\) | 2.66794 | + | 15.3860i | 0.132571 | + | 0.764537i | ||||
\(406\) | 43.9084 | − | 29.5336i | 2.17914 | − | 1.46573i | ||||
\(407\) | 2.11112 | − | 7.87882i | 0.104645 | − | 0.390539i | ||||
\(408\) | 0.780345 | − | 6.96876i | 0.0386329 | − | 0.345005i | ||||
\(409\) | −6.38440 | − | 23.8269i | −0.315688 | − | 1.17816i | −0.923347 | − | 0.383967i | \(-0.874558\pi\) |
0.607659 | − | 0.794198i | \(-0.292109\pi\) | |||||||
\(410\) | 3.45214 | + | 3.00879i | 0.170489 | + | 0.148593i | ||||
\(411\) | −1.26509 | − | 1.85216i | −0.0624022 | − | 0.0913605i | ||||
\(412\) | 10.2599 | − | 1.41473i | 0.505467 | − | 0.0696985i | ||||
\(413\) | −3.63598 | + | 8.77804i | −0.178915 | + | 0.431939i | ||||
\(414\) | −12.4057 | − | 5.76006i | −0.609705 | − | 0.283091i | ||||
\(415\) | −9.67311 | −0.474834 | ||||||||
\(416\) | −16.1372 | + | 34.0268i | −0.791191 | + | 1.66830i | ||||
\(417\) | −5.30502 | + | 4.74896i | −0.259788 | + | 0.232557i | ||||
\(418\) | 1.78675 | − | 5.31705i | 0.0873929 | − | 0.260065i | ||||
\(419\) | 16.8186 | + | 21.9184i | 0.821641 | + | 1.07078i | 0.996282 | + | 0.0861516i | \(0.0274569\pi\) |
−0.174641 | + | 0.984632i | \(0.555876\pi\) | |||||||
\(420\) | 22.9087 | − | 8.19586i | 1.11783 | − | 0.399917i | ||||
\(421\) | 10.2225 | + | 7.84400i | 0.498214 | + | 0.382293i | 0.827081 | − | 0.562083i | \(-0.190000\pi\) |
−0.328866 | + | 0.944376i | \(0.606667\pi\) | |||||||
\(422\) | 0.0262822 | − | 0.134278i | 0.00127940 | − | 0.00653654i | ||||
\(423\) | −17.5367 | − | 21.9140i | −0.852664 | − | 1.06549i | ||||
\(424\) | −7.05491 | + | 10.7714i | −0.342616 | + | 0.523103i | ||||
\(425\) | 0.737063 | − | 2.75076i | 0.0357528 | − | 0.133431i | ||||
\(426\) | −8.52802 | − | 8.30478i | −0.413184 | − | 0.402368i | ||||
\(427\) | 46.1139 | + | 6.07101i | 2.23161 | + | 0.293797i | ||||
\(428\) | −4.45467 | + | 1.22292i | −0.215325 | + | 0.0591121i | ||||
\(429\) | 26.9119 | + | 23.1199i | 1.29932 | + | 1.11624i | ||||
\(430\) | 7.13949 | + | 0.445991i | 0.344297 | + | 0.0215076i | ||||
\(431\) | − | 24.3828i | − | 1.17448i | −0.809414 | − | 0.587238i | \(-0.800215\pi\) | ||
0.809414 | − | 0.587238i | \(-0.199785\pi\) | |||||||
\(432\) | 14.3610 | + | 15.0254i | 0.690944 | + | 0.722908i | ||||
\(433\) | 37.8913i | 1.82094i | 0.413573 | + | 0.910471i | \(0.364281\pi\) | ||||
−0.413573 | + | 0.910471i | \(0.635719\pi\) | |||||||
\(434\) | 3.63627 | − | 58.2100i | 0.174547 | − | 2.79417i | ||||
\(435\) | −21.0707 | − | 18.1017i | −1.01026 | − | 0.867909i | ||||
\(436\) | −0.157882 | + | 0.277370i | −0.00756118 | + | 0.0132836i | ||||
\(437\) | 4.12019 | + | 0.542433i | 0.197095 | + | 0.0259481i | ||||
\(438\) | −21.4897 | + | 22.0673i | −1.02682 | + | 1.05442i | ||||
\(439\) | −7.53141 | + | 28.1076i | −0.359455 | + | 1.34150i | 0.515331 | + | 0.856992i | \(0.327669\pi\) |
−0.874785 | + | 0.484511i | \(0.838998\pi\) | |||||||
\(440\) | 2.80966 | − | 14.8363i | 0.133945 | − | 0.707292i | ||||
\(441\) | 10.2436 | − | 26.2311i | 0.487792 | − | 1.24910i | ||||
\(442\) | −13.2253 | − | 2.58860i | −0.629064 | − | 0.123127i | ||||
\(443\) | 4.39086 | + | 3.36923i | 0.208616 | + | 0.160077i | 0.707785 | − | 0.706428i | \(-0.249695\pi\) |
−0.499169 | + | 0.866505i | \(0.666361\pi\) | |||||||
\(444\) | −8.30134 | − | 3.92664i | −0.393964 | − | 0.186350i | ||||
\(445\) | 2.40002 | + | 3.12776i | 0.113772 | + | 0.148270i | ||||
\(446\) | 2.65514 | + | 0.892240i | 0.125725 | + | 0.0422488i | ||||
\(447\) | −17.2304 | + | 15.4243i | −0.814970 | + | 0.729546i | ||||
\(448\) | 19.2390 | − | 26.0502i | 0.908956 | − | 1.23076i | ||||
\(449\) | 28.3704 | 1.33888 | 0.669440 | − | 0.742866i | \(-0.266534\pi\) | ||||
0.669440 | + | 0.742866i | \(0.266534\pi\) | |||||||
\(450\) | 4.85285 | + | 6.90642i | 0.228766 | + | 0.325572i | ||||
\(451\) | 2.19747 | − | 5.30516i | 0.103475 | − | 0.249810i | ||||
\(452\) | 10.3432 | − | 13.6518i | 0.486501 | − | 0.642127i | ||||
\(453\) | −2.61262 | − | 3.82504i | −0.122752 | − | 0.179716i | ||||
\(454\) | 23.9807 | − | 27.5143i | 1.12547 | − | 1.29131i | ||||
\(455\) | −12.1020 | − | 45.1654i | −0.567352 | − | 2.11739i | ||||
\(456\) | −5.52920 | − | 3.05093i | −0.258929 | − | 0.142873i | ||||
\(457\) | 4.10907 | − | 15.3353i | 0.192214 | − | 0.717353i | −0.800756 | − | 0.598990i | \(-0.795569\pi\) |
0.992970 | − | 0.118363i | \(-0.0377645\pi\) | |||||||
\(458\) | −12.5020 | − | 18.5871i | −0.584180 | − | 0.868517i | ||||
\(459\) | −3.94104 | + | 6.30771i | −0.183952 | + | 0.294419i | ||||
\(460\) | 11.1870 | − | 0.0685263i | 0.521597 | − | 0.00319505i | ||||
\(461\) | 1.67162 | + | 12.6972i | 0.0778553 | + | 0.591369i | 0.985254 | + | 0.171098i | \(0.0547316\pi\) |
−0.907399 | + | 0.420271i | \(0.861935\pi\) | |||||||
\(462\) | −18.8924 | − | 23.9565i | −0.878956 | − | 1.11456i | ||||
\(463\) | 22.0780 | + | 12.7467i | 1.02605 | + | 0.592391i | 0.915851 | − | 0.401519i | \(-0.131518\pi\) |
0.110200 | + | 0.993909i | \(0.464851\pi\) | |||||||
\(464\) | −36.7136 | − | 4.37658i | −1.70439 | − | 0.203178i | ||||
\(465\) | −29.9660 | + | 6.27895i | −1.38964 | + | 0.291179i | ||||
\(466\) | −19.0569 | − | 1.19045i | −0.882794 | − | 0.0551465i | ||||
\(467\) | −0.208936 | − | 0.0865443i | −0.00966842 | − | 0.00400479i | 0.377844 | − | 0.925869i | \(-0.376666\pi\) |
−0.387512 | + | 0.921864i | \(0.626666\pi\) | |||||||
\(468\) | 31.0336 | − | 25.1481i | 1.43453 | − | 1.16247i | ||||
\(469\) | 13.8193 | + | 33.3628i | 0.638116 | + | 1.54055i | ||||
\(470\) | 20.6201 | + | 10.0903i | 0.951134 | + | 0.465431i | ||||
\(471\) | −20.1751 | − | 1.11584i | −0.929619 | − | 0.0514151i | ||||
\(472\) | 5.92680 | − | 2.99079i | 0.272803 | − | 0.137662i | ||||
\(473\) | −2.32163 | − | 8.66444i | −0.106749 | − | 0.398391i | ||||
\(474\) | −1.19079 | − | 2.00076i | −0.0546948 | − | 0.0918979i | ||||
\(475\) | −2.03466 | − | 1.56125i | −0.0933567 | − | 0.0716351i | ||||
\(476\) | 10.7335 | + | 4.36911i | 0.491968 | + | 0.200258i | ||||
\(477\) | 11.6857 | − | 7.06838i | 0.535052 | − | 0.323639i | ||||
\(478\) | −4.81121 | + | 0.972336i | −0.220059 | + | 0.0444736i | ||||
\(479\) | 4.03595 | + | 6.99047i | 0.184407 | + | 0.319403i | 0.943377 | − | 0.331724i | \(-0.107630\pi\) |
−0.758969 | + | 0.651126i | \(0.774297\pi\) | |||||||
\(480\) | −15.8669 | − | 6.10290i | −0.724222 | − | 0.278558i | ||||
\(481\) | −8.82412 | + | 15.2838i | −0.402345 | + | 0.696883i | ||||
\(482\) | −6.40824 | + | 19.0697i | −0.291887 | + | 0.868603i | ||||
\(483\) | 14.7297 | − | 17.1456i | 0.670224 | − | 0.780152i | ||||
\(484\) | 3.03649 | − | 0.418699i | 0.138022 | − | 0.0190318i | ||||
\(485\) | 0.471336 | − | 0.195234i | 0.0214023 | − | 0.00886511i | ||||
\(486\) | −6.84793 | − | 20.9549i | −0.310628 | − | 0.950531i | ||||
\(487\) | −14.4163 | + | 14.4163i | −0.653266 | + | 0.653266i | −0.953778 | − | 0.300512i | \(-0.902843\pi\) |
0.300512 | + | 0.953778i | \(0.402843\pi\) | |||||||
\(488\) | −21.6513 | − | 24.2357i | −0.980107 | − | 1.09710i | ||||
\(489\) | 10.0385 | + | 19.8433i | 0.453957 | + | 0.897347i | ||||
\(490\) | 1.57681 | + | 22.9788i | 0.0712328 | + | 1.03808i | ||||
\(491\) | −4.82843 | − | 0.635675i | −0.217904 | − | 0.0286876i | 0.0207837 | − | 0.999784i | \(-0.493384\pi\) |
−0.238688 | + | 0.971096i | \(0.576717\pi\) | |||||||
\(492\) | −5.43324 | − | 3.50346i | −0.244950 | − | 0.157948i | ||||
\(493\) | −1.72697 | − | 13.1176i | −0.0777788 | − | 0.590789i | ||||
\(494\) | −6.71164 | + | 10.1116i | −0.301971 | + | 0.454942i | ||||
\(495\) | −9.48872 | + | 12.9025i | −0.426486 | + | 0.579925i | ||||
\(496\) | −28.4604 | + | 29.1664i | −1.27791 | + | 1.30961i | ||||
\(497\) | 17.0365 | − | 9.83605i | 0.764193 | − | 0.441207i | ||||
\(498\) | 13.5144 | − | 1.96186i | 0.605594 | − | 0.0879128i | ||||
\(499\) | −2.66382 | + | 2.04402i | −0.119249 | + | 0.0915029i | −0.666664 | − | 0.745358i | \(-0.732278\pi\) |
0.547415 | + | 0.836861i | \(0.315612\pi\) | |||||||
\(500\) | −21.0790 | − | 11.9984i | −0.942683 | − | 0.536586i | ||||
\(501\) | −9.84058 | − | 4.72869i | −0.439645 | − | 0.211262i | ||||
\(502\) | 11.2872 | − | 23.0661i | 0.503773 | − | 1.02949i | ||||
\(503\) | 21.1740 | + | 21.1740i | 0.944101 | + | 0.944101i | 0.998518 | − | 0.0544176i | \(-0.0173302\pi\) |
−0.0544176 | + | 0.998518i | \(0.517330\pi\) | |||||||
\(504\) | −30.3437 | + | 16.0968i | −1.35162 | + | 0.717007i | ||||
\(505\) | 5.24080 | − | 5.24080i | 0.233212 | − | 0.233212i | ||||
\(506\) | −4.54992 | − | 13.2700i | −0.202269 | − | 0.589922i | ||||
\(507\) | −30.5968 | − | 44.7955i | −1.35885 | − | 1.98944i | ||||
\(508\) | 0.727542 | − | 5.80058i | 0.0322795 | − | 0.257359i | ||||
\(509\) | 15.4154 | + | 20.0897i | 0.683275 | + | 0.890461i | 0.998280 | − | 0.0586289i | \(-0.0186729\pi\) |
−0.315005 | + | 0.949090i | \(0.602006\pi\) | |||||||
\(510\) | 0.713995 | − | 6.04137i | 0.0316162 | − | 0.267516i | ||||
\(511\) | −25.4520 | − | 44.0842i | −1.12593 | − | 1.95017i | ||||
\(512\) | −22.0625 | + | 5.02436i | −0.975036 | + | 0.222048i | ||||
\(513\) | 3.88992 | + | 5.45287i | 0.171744 | + | 0.240750i | ||||
\(514\) | 6.32214 | + | 31.2825i | 0.278857 | + | 1.37981i | ||||
\(515\) | 8.90813 | − | 1.17278i | 0.392539 | − | 0.0516788i | ||||
\(516\) | −10.0651 | + | 0.824900i | −0.443092 | + | 0.0363142i | ||||
\(517\) | 3.75740 | − | 28.5403i | 0.165250 | − | 1.25520i | ||||
\(518\) | 9.97140 | − | 11.4407i | 0.438118 | − | 0.502675i | ||||
\(519\) | −16.0433 | − | 10.4847i | −0.704221 | − | 0.460227i | ||||
\(520\) | −14.1801 | + | 29.4331i | −0.621839 | + | 1.29073i | ||||
\(521\) | −6.17342 | − | 6.17342i | −0.270462 | − | 0.270462i | 0.558824 | − | 0.829286i | \(-0.311253\pi\) |
−0.829286 | + | 0.558824i | \(0.811253\pi\) | |||||||
\(522\) | 33.1093 | + | 21.0166i | 1.44916 | + | 0.919871i | ||||
\(523\) | −10.3823 | − | 25.0650i | −0.453984 | − | 1.09602i | −0.970794 | − | 0.239915i | \(-0.922880\pi\) |
0.516810 | − | 0.856100i | \(-0.327120\pi\) | |||||||
\(524\) | 16.8499 | − | 9.86638i | 0.736090 | − | 0.431015i | ||||
\(525\) | −13.1628 | + | 4.61841i | −0.574473 | + | 0.201564i | ||||
\(526\) | −10.3841 | + | 5.16049i | −0.452770 | + | 0.225008i | ||||
\(527\) | −12.6290 | − | 7.29134i | −0.550127 | − | 0.317616i | ||||
\(528\) | −0.916382 | + | 21.2978i | −0.0398804 | + | 0.926866i | ||||
\(529\) | −10.9178 | + | 6.30338i | −0.474685 | + | 0.274060i | ||||
\(530\) | −6.17749 | + | 9.30685i | −0.268333 | + | 0.404264i | ||||
\(531\) | −7.03990 | + | 0.143611i | −0.305506 | + | 0.00623217i | ||||
\(532\) | 7.33429 | − | 7.42470i | 0.317982 | − | 0.321901i | ||||
\(533\) | −7.56336 | + | 9.85676i | −0.327605 | + | 0.426944i | ||||
\(534\) | −3.98745 | − | 3.88307i | −0.172554 | − | 0.168037i | ||||
\(535\) | −3.87100 | + | 1.03723i | −0.167358 | + | 0.0448435i | ||||
\(536\) | 7.89057 | − | 23.9661i | 0.340821 | − | 1.03518i | ||||
\(537\) | 15.3631 | − | 7.77202i | 0.662967 | − | 0.335388i | ||||
\(538\) | 36.8449 | − | 12.6331i | 1.58850 | − | 0.544653i | ||||
\(539\) | 26.6837 | − | 11.0528i | 1.14935 | − | 0.476076i | ||||
\(540\) | 12.3786 | + | 13.1111i | 0.532689 | + | 0.564211i | ||||
\(541\) | 12.7923 | − | 30.8833i | 0.549984 | − | 1.32778i | −0.367507 | − | 0.930021i | \(-0.619789\pi\) |
0.917491 | − | 0.397757i | \(-0.130211\pi\) | |||||||
\(542\) | 16.4532 | + | 18.6458i | 0.706725 | + | 0.800904i | ||||
\(543\) | 10.7060 | + | 3.51286i | 0.459439 | + | 0.150751i | ||||
\(544\) | −3.69205 | − | 7.20639i | −0.158295 | − | 0.308972i | ||||
\(545\) | −0.138439 | + | 0.239784i | −0.00593010 | + | 0.0102712i | ||||
\(546\) | 26.0681 | + | 60.6466i | 1.11561 | + | 2.59543i | ||||
\(547\) | 34.4731 | − | 4.53847i | 1.47396 | − | 0.194051i | 0.649672 | − | 0.760215i | \(-0.274906\pi\) |
0.824293 | + | 0.566164i | \(0.191573\pi\) | |||||||
\(548\) | −2.39885 | − | 0.976463i | −0.102474 | − | 0.0417124i | ||||
\(549\) | 9.59863 | + | 33.1063i | 0.409660 | + | 1.41294i | ||||
\(550\) | −1.66294 | + | 8.49609i | −0.0709081 | + | 0.362275i | ||||
\(551\) | −11.5093 | − | 3.08390i | −0.490312 | − | 0.131379i | ||||
\(552\) | −15.6156 | + | 2.36464i | −0.664643 | + | 0.100646i | ||||
\(553\) | 3.71668 | − | 0.995881i | 0.158049 | − | 0.0423492i | ||||
\(554\) | 0.219913 | + | 3.20479i | 0.00934319 | + | 0.136158i | ||||
\(555\) | −7.18070 | − | 3.45054i | −0.304804 | − | 0.146467i | ||||
\(556\) | −2.07922 | + | 7.95432i | −0.0881785 | + | 0.337338i | ||||
\(557\) | 33.0017 | + | 13.6698i | 1.39833 | + | 0.579206i | 0.949317 | − | 0.314320i | \(-0.101777\pi\) |
0.449010 | + | 0.893526i | \(0.351777\pi\) | |||||||
\(558\) | 40.5923 | − | 14.8499i | 1.71841 | − | 0.628648i | ||||
\(559\) | 19.4080i | 0.820871i | ||||||||
\(560\) | 16.8286 | − | 22.4968i | 0.711137 | − | 0.950664i | ||||
\(561\) | −7.46622 | + | 1.56444i | −0.315224 | + | 0.0660508i | ||||
\(562\) | −12.4449 | + | 6.18460i | −0.524956 | + | 0.260882i | ||||
\(563\) | 1.77889 | − | 1.36499i | 0.0749715 | − | 0.0575276i | −0.570596 | − | 0.821231i | \(-0.693288\pi\) |
0.645567 | + | 0.763703i | \(0.276621\pi\) | |||||||
\(564\) | −30.8550 | − | 9.91520i | −1.29923 | − | 0.417505i | ||||
\(565\) | 9.04542 | − | 11.7882i | 0.380544 | − | 0.495934i | ||||
\(566\) | −23.2452 | − | 34.5593i | −0.977069 | − | 1.45264i | ||||
\(567\) | 36.4022 | − | 1.48579i | 1.52875 | − | 0.0623975i | ||||
\(568\) | −13.5051 | − | 2.55756i | −0.566661 | − | 0.107313i | ||||
\(569\) | 18.1139 | + | 4.85362i | 0.759376 | + | 0.203474i | 0.617673 | − | 0.786435i | \(-0.288075\pi\) |
0.141703 | + | 0.989909i | \(0.454742\pi\) | |||||||
\(570\) | −4.78047 | − | 2.67612i | −0.200232 | − | 0.112090i | ||||
\(571\) | −2.50913 | + | 19.0588i | −0.105004 | + | 0.797585i | 0.855203 | + | 0.518294i | \(0.173433\pi\) |
−0.960207 | + | 0.279291i | \(0.909901\pi\) | |||||||
\(572\) | 40.6495 | + | 5.09849i | 1.69964 | + | 0.213179i | ||||
\(573\) | 39.8624 | + | 7.50735i | 1.66528 | + | 0.313624i | ||||
\(574\) | 8.01097 | − | 7.06896i | 0.334371 | − | 0.295052i | ||||
\(575\) | −6.41399 | −0.267482 | ||||||||
\(576\) | 23.4056 | + | 5.30837i | 0.975233 | + | 0.221182i | ||||
\(577\) | 17.3231 | 0.721169 | 0.360584 | − | 0.932727i | \(-0.382577\pi\) | ||||
0.360584 | + | 0.932727i | \(0.382577\pi\) | |||||||
\(578\) | −15.8542 | + | 13.9899i | −0.659448 | + | 0.581903i | ||||
\(579\) | 6.47564 | + | 18.4561i | 0.269119 | + | 0.767009i | ||||
\(580\) | −31.8265 | − | 3.99186i | −1.32152 | − | 0.165753i | ||||
\(581\) | −2.94574 | + | 22.3751i | −0.122210 | + | 0.928275i | ||||
\(582\) | −0.618912 | + | 0.368357i | −0.0256547 | + | 0.0152689i | ||||
\(583\) | 13.5300 | + | 3.62536i | 0.560356 | + | 0.150147i | ||||
\(584\) | −6.61803 | + | 34.9462i | −0.273856 | + | 1.44608i | ||||
\(585\) | 27.0559 | − | 21.6515i | 1.11862 | − | 0.895181i | ||||
\(586\) | 11.3222 | + | 16.8330i | 0.467715 | + | 0.695366i | ||||
\(587\) | 3.43856 | − | 4.48122i | 0.141925 | − | 0.184960i | −0.716983 | − | 0.697091i | \(-0.754477\pi\) |
0.858907 | + | 0.512131i | \(0.171144\pi\) | |||||||
\(588\) | −6.86343 | − | 31.7841i | −0.283043 | − | 1.31076i | ||||
\(589\) | −10.4189 | + | 7.99470i | −0.429303 | + | 0.329416i | ||||
\(590\) | 5.15750 | − | 2.56306i | 0.212331 | − | 0.105520i | ||||
\(591\) | 13.0794 | − | 39.8617i | 0.538015 | − | 1.63969i | ||||
\(592\) | −10.4954 | + | 1.51276i | −0.431357 | + | 0.0621742i | ||||
\(593\) | 12.5351i | 0.514755i | 0.966311 | + | 0.257378i | \(0.0828584\pi\) | ||||
−0.966311 | + | 0.257378i | \(0.917142\pi\) | |||||||
\(594\) | 10.6400 | − | 19.9507i | 0.436563 | − | 0.818587i | ||||
\(595\) | 9.28825 | + | 3.84732i | 0.380781 | + | 0.157725i | ||||
\(596\) | −6.75318 | + | 25.8352i | −0.276621 | + | 1.05825i | ||||
\(597\) | −1.07920 | − | 14.2388i | −0.0441687 | − | 0.582756i | ||||
\(598\) | 2.07788 | + | 30.2810i | 0.0849708 | + | 1.23828i | ||||
\(599\) | 32.5828 | − | 8.73052i | 1.33130 | − | 0.356719i | 0.478097 | − | 0.878307i | \(-0.341327\pi\) |
0.853198 | + | 0.521587i | \(0.174660\pi\) | |||||||
\(600\) | 9.07540 | + | 3.55464i | 0.370502 | + | 0.145118i | ||||
\(601\) | 8.46909 | + | 2.26929i | 0.345461 | + | 0.0925661i | 0.427378 | − | 0.904073i | \(-0.359437\pi\) |
−0.0819165 | + | 0.996639i | \(0.526104\pi\) | |||||||
\(602\) | 3.20581 | − | 16.3787i | 0.130659 | − | 0.667546i | ||||
\(603\) | −18.5338 | + | 19.3057i | −0.754755 | + | 0.786190i | ||||
\(604\) | −4.95403 | − | 2.01656i | −0.201577 | − | 0.0820528i | ||||
\(605\) | 2.63643 | − | 0.347093i | 0.107186 | − | 0.0141113i | ||||
\(606\) | −6.25906 | + | 8.38488i | −0.254257 | + | 0.340613i | ||||
\(607\) | −2.69541 | + | 4.66859i | −0.109403 | + | 0.189492i | −0.915529 | − | 0.402253i | \(-0.868227\pi\) |
0.806125 | + | 0.591745i | \(0.201561\pi\) | |||||||
\(608\) | −7.26826 | + | 0.588289i | −0.294767 | + | 0.0238583i | ||||
\(609\) | −48.2880 | + | 43.2266i | −1.95673 | + | 1.75163i | ||||
\(610\) | −18.6541 | − | 21.1399i | −0.755281 | − | 0.855930i | ||||
\(611\) | −23.8349 | + | 57.5426i | −0.964258 | + | 2.32792i | ||||
\(612\) | 0.227753 | + | 8.58527i | 0.00920638 | + | 0.347039i | ||||
\(613\) | −7.39650 | + | 3.06373i | −0.298742 | + | 0.123743i | −0.527020 | − | 0.849853i | \(-0.676691\pi\) |
0.228278 | + | 0.973596i | \(0.426691\pi\) | |||||||
\(614\) | 7.07691 | − | 2.42648i | 0.285601 | − | 0.0979249i | ||||
\(615\) | −4.69482 | − | 3.06819i | −0.189313 | − | 0.123721i | ||||
\(616\) | −33.4625 | − | 11.0172i | −1.34824 | − | 0.443894i | ||||
\(617\) | −31.0735 | + | 8.32612i | −1.25097 | + | 0.335197i | −0.822712 | − | 0.568459i | \(-0.807540\pi\) |
−0.428260 | + | 0.903656i | \(0.640873\pi\) | |||||||
\(618\) | −12.2078 | + | 3.44521i | −0.491069 | + | 0.138587i | ||||
\(619\) | −17.3564 | + | 22.6194i | −0.697614 | + | 0.909149i | −0.999016 | − | 0.0443485i | \(-0.985879\pi\) |
0.301402 | + | 0.953497i | \(0.402545\pi\) | |||||||
\(620\) | −24.8449 | + | 25.1511i | −0.997794 | + | 1.01009i | ||||
\(621\) | 16.0199 | + | 4.89688i | 0.642858 | + | 0.196505i | ||||
\(622\) | −9.74246 | + | 14.6777i | −0.390637 | + | 0.588524i | ||||
\(623\) | 7.96577 | − | 4.59904i | 0.319142 | − | 0.184257i | ||||
\(624\) | 13.8417 | − | 43.9973i | 0.554111 | − | 1.76130i | ||||
\(625\) | −9.60772 | − | 5.54702i | −0.384309 | − | 0.221881i | ||||
\(626\) | −17.9738 | + | 8.93222i | −0.718376 | + | 0.357003i | ||||
\(627\) | −1.27146 | + | 6.75119i | −0.0507773 | + | 0.269617i | ||||
\(628\) | −20.1341 | + | 11.7894i | −0.803437 | + | 0.470450i | ||||
\(629\) | −1.45210 | − | 3.50569i | −0.0578992 | − | 0.139781i | ||||
\(630\) | −26.4093 | + | 13.8030i | −1.05217 | + | 0.549924i | ||||
\(631\) | 1.40904 | + | 1.40904i | 0.0560931 | + | 0.0560931i | 0.734597 | − | 0.678504i | \(-0.237371\pi\) |
−0.678504 | + | 0.734597i | \(0.737371\pi\) | |||||||
\(632\) | −2.42206 | − | 1.16689i | −0.0963445 | − | 0.0464163i | ||||
\(633\) | −0.00925415 | + | 0.167321i | −0.000367819 | + | 0.00665041i | ||||
\(634\) | 9.54455 | − | 10.9510i | 0.379063 | − | 0.434918i | ||||
\(635\) | 0.661980 | − | 5.02824i | 0.0262699 | − | 0.199540i | ||||
\(636\) | 6.74307 | − | 14.2556i | 0.267380 | − | 0.565271i | ||||
\(637\) | −61.9561 | + | 8.15667i | −2.45479 | + | 0.323179i | ||||
\(638\) | 7.96767 | + | 39.4247i | 0.315443 | + | 1.56084i | ||||
\(639\) | 11.7448 | + | 8.63734i | 0.464618 | + | 0.341688i | ||||
\(640\) | −19.1663 | + | 4.24148i | −0.757616 | + | 0.167659i | ||||
\(641\) | 6.11925 | + | 10.5988i | 0.241696 | + | 0.418629i | 0.961197 | − | 0.275861i | \(-0.0889631\pi\) |
−0.719502 | + | 0.694491i | \(0.755630\pi\) | |||||||
\(642\) | 5.19785 | − | 2.23423i | 0.205143 | − | 0.0881779i | ||||
\(643\) | −17.4259 | − | 22.7098i | −0.687209 | − | 0.895589i | 0.311292 | − | 0.950314i | \(-0.399238\pi\) |
−0.998501 | + | 0.0547256i | \(0.982572\pi\) | |||||||
\(644\) | 3.24825 | − | 25.8978i | 0.127999 | − | 1.02052i | ||||
\(645\) | −8.73605 | + | 0.662130i | −0.343981 | + | 0.0260713i | ||||
\(646\) | −0.846334 | − | 2.46836i | −0.0332986 | − | 0.0971162i | ||||
\(647\) | 30.3749 | − | 30.3749i | 1.19416 | − | 1.19416i | 0.218274 | − | 0.975888i | \(-0.429957\pi\) |
0.975888 | − | 0.218274i | \(-0.0700426\pi\) | |||||||
\(648\) | −19.9534 | − | 15.8071i | −0.783842 | − | 0.620960i | ||||
\(649\) | −5.10664 | − | 5.10664i | −0.200453 | − | 0.200453i | ||||
\(650\) | 8.23313 | − | 16.8248i | 0.322930 | − | 0.659925i | ||||
\(651\) | 5.39850 | + | 71.2271i | 0.211584 | + | 2.79161i | ||||
\(652\) | 22.3163 | + | 12.7027i | 0.873972 | + | 0.497475i | ||||
\(653\) | 25.0900 | − | 19.2522i | 0.981846 | − | 0.753397i | 0.0127091 | − | 0.999919i | \(-0.495954\pi\) |
0.969137 | + | 0.246522i | \(0.0792878\pi\) | |||||||
\(654\) | 0.144783 | − | 0.363083i | 0.00566147 | − | 0.0141977i | ||||
\(655\) | 14.6700 | − | 8.46972i | 0.573204 | − | 0.330939i | ||||
\(656\) | −7.46441 | + | 0.0914503i | −0.291436 | + | 0.00357054i | ||||
\(657\) | 22.3502 | − | 30.3913i | 0.871965 | − | 1.18568i | ||||
\(658\) | 29.6195 | − | 44.6240i | 1.15469 | − | 1.73963i | ||||
\(659\) | −2.11544 | − | 16.0684i | −0.0824058 | − | 0.625934i | −0.981955 | − | 0.189115i | \(-0.939438\pi\) |
0.899549 | − | 0.436819i | \(-0.143895\pi\) | |||||||
\(660\) | −0.908154 | + | 18.4713i | −0.0353498 | + | 0.718995i | ||||
\(661\) | 19.5894 | + | 2.57900i | 0.761940 | + | 0.100311i | 0.501475 | − | 0.865172i | \(-0.332791\pi\) |
0.260465 | + | 0.965483i | \(0.416124\pi\) | |||||||
\(662\) | 1.07939 | + | 15.7300i | 0.0419517 | + | 0.611363i | ||||
\(663\) | 16.4798 | + | 0.911461i | 0.640023 | + | 0.0353982i | ||||
\(664\) | 11.7595 | − | 10.5055i | 0.456356 | − | 0.407692i | ||||
\(665\) | 6.40208 | − | 6.40208i | 0.248262 | − | 0.248262i | ||||
\(666\) | 10.7320 | + | 3.36443i | 0.415858 | + | 0.130369i | ||||
\(667\) | −27.5310 | + | 11.4037i | −1.06601 | + | 0.441554i | ||||
\(668\) | −12.4886 | + | 1.72204i | −0.483198 | + | 0.0666277i | ||||
\(669\) | −3.37130 | − | 0.634923i | −0.130342 | − | 0.0245475i | ||||
\(670\) | 6.97256 | − | 20.7491i | 0.269374 | − | 0.801607i | ||||
\(671\) | −17.6767 | + | 30.6170i | −0.682402 | + | 1.18196i | ||||
\(672\) | −18.9487 | + | 34.8436i | −0.730961 | + | 1.34412i | ||||
\(673\) | −3.05440 | − | 5.29038i | −0.117739 | − | 0.203929i | 0.801133 | − | 0.598487i | \(-0.204231\pi\) |
−0.918871 | + | 0.394558i | \(0.870898\pi\) | |||||||
\(674\) | 15.0150 | − | 3.03451i | 0.578358 | − | 0.116885i | ||||
\(675\) | −7.05086 | − | 7.56033i | −0.271388 | − | 0.290997i | ||||
\(676\) | −58.0173 | − | 23.6162i | −2.23143 | − | 0.908317i | ||||
\(677\) | −34.3163 | − | 26.3318i | −1.31888 | − | 1.01201i | −0.997890 | − | 0.0649328i | \(-0.979317\pi\) |
−0.320993 | − | 0.947082i | \(-0.604017\pi\) | |||||||
\(678\) | −10.2466 | + | 18.3040i | −0.393519 | + | 0.702960i | ||||
\(679\) | −0.308065 | − | 1.14971i | −0.0118224 | − | 0.0441219i | ||||
\(680\) | −3.16462 | − | 6.27129i | −0.121358 | − | 0.240493i | ||||
\(681\) | −24.4541 | + | 37.4188i | −0.937085 | + | 1.43389i | ||||
\(682\) | 39.8195 | + | 19.4854i | 1.52477 | + | 0.746136i | ||||
\(683\) | −14.4312 | − | 34.8400i | −0.552195 | − | 1.33312i | −0.915827 | − | 0.401574i | \(-0.868463\pi\) |
0.363631 | − | 0.931543i | \(-0.381537\pi\) | |||||||
\(684\) | 7.22160 | + | 2.76928i | 0.276125 | + | 0.105886i | ||||
\(685\) | −2.07585 | − | 0.859846i | −0.0793143 | − | 0.0328530i | ||||
\(686\) | 13.6372 | + | 0.851893i | 0.520672 | + | 0.0325254i | ||||
\(687\) | 18.2984 | + | 20.4410i | 0.698129 | + | 0.779874i | ||||
\(688\) | −9.16376 | + | 7.21167i | −0.349365 | + | 0.274942i | ||||
\(689\) | −26.2463 | − | 15.1533i | −0.999906 | − | 0.577296i | ||||
\(690\) | −13.5594 | + | 1.96838i | −0.516196 | + | 0.0749350i | ||||
\(691\) | −3.90988 | − | 29.6985i | −0.148739 | − | 1.12978i | −0.889145 | − | 0.457625i | \(-0.848700\pi\) |
0.740406 | − | 0.672159i | \(-0.234633\pi\) | |||||||
\(692\) | −22.1300 | + | 0.135558i | −0.841255 | + | 0.00515313i | ||||
\(693\) | 26.9555 | + | 25.8778i | 1.02396 | + | 0.983015i | ||||
\(694\) | −19.4073 | − | 28.8533i | −0.736690 | − | 1.09526i | ||||
\(695\) | −1.84603 | + | 6.88947i | −0.0700238 | + | 0.261332i | ||||
\(696\) | 45.2747 | − | 0.877829i | 1.71613 | − | 0.0332740i | ||||
\(697\) | −0.691385 | − | 2.58028i | −0.0261881 | − | 0.0977353i | ||||
\(698\) | 3.63474 | − | 4.17032i | 0.137577 | − | 0.157849i | ||||
\(699\) | 23.3185 | − | 1.76737i | 0.881985 | − | 0.0668482i | ||||
\(700\) | −9.72719 | + | 12.8388i | −0.367653 | + | 0.485261i | ||||
\(701\) | −7.47474 | + | 18.0456i | −0.282317 | + | 0.681573i | −0.999889 | − | 0.0149111i | \(-0.995253\pi\) |
0.717572 | + | 0.696484i | \(0.245253\pi\) | |||||||
\(702\) | −33.4087 | + | 35.7369i | −1.26093 | + | 1.34880i | ||||
\(703\) | −3.41724 | −0.128884 | ||||||||
\(704\) | 12.6973 | + | 21.0877i | 0.478547 | + | 0.794773i | ||||
\(705\) | −26.7146 | − | 8.76558i | −1.00613 | − | 0.330131i | ||||
\(706\) | 35.7636 | + | 12.0181i | 1.34598 | + | 0.452307i | ||||
\(707\) | −10.5266 | − | 13.7186i | −0.395895 | − | 0.515940i | ||||
\(708\) | −6.68577 | + | 4.62690i | −0.251266 | + | 0.173890i | ||||
\(709\) | 34.3796 | + | 26.3804i | 1.29115 | + | 0.990737i | 0.999414 | + | 0.0342399i | \(0.0109010\pi\) |
0.291741 | + | 0.956498i | \(0.405766\pi\) | |||||||
\(710\) | −11.7023 | − | 2.29050i | −0.439180 | − | 0.0859609i | ||||
\(711\) | 1.78171 | + | 2.22644i | 0.0668195 | + | 0.0834979i | ||||
\(712\) | −6.31458 | − | 1.19584i | −0.236649 | − | 0.0448160i | ||||
\(713\) | −8.50068 | + | 31.7250i | −0.318353 | + | 1.18811i | ||||
\(714\) | −13.7570 | − | 3.49133i | −0.514843 | − | 0.130660i | ||||
\(715\) | 35.2370 | + | 4.63904i | 1.31779 | + | 0.173490i | ||||
\(716\) | 9.83467 | − | 17.2777i | 0.367539 | − | 0.645698i | ||||
\(717\) | 5.67259 | − | 1.99033i | 0.211847 | − | 0.0743302i | ||||
\(718\) | −1.76237 | + | 28.2123i | −0.0657711 | + | 1.05287i | ||||
\(719\) | − | 5.50552i | − | 0.205321i | −0.994716 | − | 0.102661i | \(-0.967264\pi\) | ||
0.994716 | − | 0.102661i | \(-0.0327356\pi\) | |||||||
\(720\) | 20.2765 | + | 4.72948i | 0.755662 | + | 0.176257i | ||||
\(721\) | − | 20.9628i | − | 0.780694i | ||||||
\(722\) | 24.4724 | + | 1.52875i | 0.910768 | + | 0.0568940i | ||||
\(723\) | 4.56014 | − | 24.2133i | 0.169593 | − | 0.900504i | ||||
\(724\) | 12.5465 | − | 3.44434i | 0.466288 | − | 0.128008i | ||||
\(725\) | 18.2328 | + | 2.40039i | 0.677148 | + | 0.0891482i | ||||
\(726\) | −3.61299 | + | 1.01964i | −0.134091 | + | 0.0378422i | ||||
\(727\) | 5.09838 | − | 19.0274i | 0.189088 | − | 0.705687i | −0.804630 | − | 0.593777i | \(-0.797636\pi\) |
0.993718 | − | 0.111911i | \(-0.0356970\pi\) | |||||||
\(728\) | 63.7642 | + | 41.7636i | 2.36326 | + | 1.54786i | ||||
\(729\) | 11.8385 | + | 24.2662i | 0.438464 | + | 0.898749i | ||||
\(730\) | −5.92696 | + | 30.2813i | −0.219367 | + | 1.12076i | ||||
\(731\) | −3.31058 | − | 2.54030i | −0.122446 | − | 0.0939563i | ||||
\(732\) | 30.3493 | + | 25.7515i | 1.12174 | + | 0.951802i | ||||
\(733\) | −25.4325 | − | 33.1442i | −0.939369 | − | 1.22421i | −0.974399 | − | 0.224824i | \(-0.927819\pi\) |
0.0350300 | − | 0.999386i | \(-0.488847\pi\) | |||||||
\(734\) | 13.8124 | − | 41.1030i | 0.509823 | − | 1.51714i | ||||
\(735\) | −5.78524 | − | 27.6098i | −0.213392 | − | 1.01840i | ||||
\(736\) | −13.5255 | + | 12.2330i | −0.498556 | + | 0.450913i | ||||
\(737\) | −27.4483 | −1.01107 | ||||||||
\(738\) | 7.18145 | + | 3.33441i | 0.264353 | + | 0.122741i | ||||
\(739\) | −10.0958 | + | 24.3735i | −0.371381 | + | 0.896592i | 0.622137 | + | 0.782909i | \(0.286265\pi\) |
−0.993517 | + | 0.113683i | \(0.963735\pi\) | |||||||
\(740\) | −9.11295 | + | 1.25658i | −0.334999 | + | 0.0461927i | ||||
\(741\) | 6.43784 | − | 13.3974i | 0.236500 | − | 0.492165i | ||||
\(742\) | 19.6467 | + | 17.1235i | 0.721252 | + | 0.628624i | ||||
\(743\) | 13.5034 | + | 50.3952i | 0.495390 | + | 1.84882i | 0.527833 | + | 0.849348i | \(0.323005\pi\) |
−0.0324428 | + | 0.999474i | \(0.510329\pi\) | |||||||
\(744\) | 29.6100 | − | 40.1778i | 1.08555 | − | 1.47299i | ||||
\(745\) | −5.99579 | + | 22.3766i | −0.219669 | + | 0.819815i | ||||
\(746\) | 10.1516 | − | 6.82813i | 0.371675 | − | 0.249995i | ||||
\(747\) | −16.0636 | + | 4.65739i | −0.587738 | + | 0.170405i | ||||
\(748\) | −6.19026 | + | 6.26657i | −0.226338 | + | 0.229128i | ||||
\(749\) | 1.22042 | + | 9.26998i | 0.0445930 | + | 0.338718i | ||||
\(750\) | 27.5929 | + | 11.0030i | 1.00755 | + | 0.401772i | ||||
\(751\) | −25.5665 | − | 14.7608i | −0.932936 | − | 0.538631i | −0.0451973 | − | 0.998978i | \(-0.514392\pi\) |
−0.887739 | + | 0.460347i | \(0.847725\pi\) | |||||||
\(752\) | −36.0262 | + | 10.1278i | −1.31374 | + | 0.369323i | ||||
\(753\) | −9.80535 | + | 29.8835i | −0.357327 | + | 1.08901i | ||||
\(754\) | 5.42574 | − | 86.8560i | 0.197594 | − | 3.16311i | ||||
\(755\) | −4.28699 | − | 1.77573i | −0.156020 | − | 0.0646255i | ||||
\(756\) | 34.0972 | − | 24.6405i | 1.24010 | − | 0.896166i | ||||
\(757\) | −5.39119 | − | 13.0155i | −0.195946 | − | 0.473056i | 0.795116 | − | 0.606458i | \(-0.207410\pi\) |
−0.991062 | + | 0.133402i | \(0.957410\pi\) | |||||||
\(758\) | 9.21354 | − | 18.8284i | 0.334651 | − | 0.683877i | ||||
\(759\) | 7.75577 | + | 15.3310i | 0.281516 | + | 0.556479i | ||||
\(760\) | −6.30847 | + | 0.471728i | −0.228832 | + | 0.0171114i | ||||
\(761\) | 0.846534 | + | 3.15931i | 0.0306868 | + | 0.114525i | 0.979570 | − | 0.201101i | \(-0.0644521\pi\) |
−0.948884 | + | 0.315626i | \(0.897785\pi\) | |||||||
\(762\) | 0.0949451 | + | 7.15926i | 0.00343950 | + | 0.259353i | ||||
\(763\) | 0.512492 | + | 0.393249i | 0.0185534 | + | 0.0142366i | ||||
\(764\) | 43.1623 | − | 18.1890i | 1.56156 | − | 0.658054i | ||||
\(765\) | 0.151958 | + | 7.44909i | 0.00549405 | + | 0.269322i | ||||
\(766\) | 5.82920 | + | 28.8434i | 0.210618 | + | 1.04216i | ||||
\(767\) | 7.81276 | + | 13.5321i | 0.282102 | + | 0.488616i | ||||
\(768\) | 25.9173 | − | 9.81305i | 0.935208 | − | 0.354098i | ||||
\(769\) | −17.1349 | + | 29.6785i | −0.617899 | + | 1.07023i | 0.371969 | + | 0.928245i | \(0.378683\pi\) |
−0.989868 | + | 0.141988i | \(0.954651\pi\) | |||||||
\(770\) | −28.9708 | − | 9.73541i | −1.04404 | − | 0.350840i | ||||
\(771\) | −12.9411 | − | 36.8832i | −0.466064 | − | 1.32832i | ||||
\(772\) | 18.0017 | + | 13.6389i | 0.647897 | + | 0.490873i | ||||
\(773\) | 16.2733 | − | 6.74060i | 0.585308 | − | 0.242443i | −0.0703225 | − | 0.997524i | \(-0.522403\pi\) |
0.655631 | + | 0.755082i | \(0.272403\pi\) | |||||||
\(774\) | 12.0709 | − | 2.69687i | 0.433881 | − | 0.0969371i | ||||
\(775\) | 14.3324 | − | 14.3324i | 0.514835 | − | 0.514835i | ||||
\(776\) | −0.360963 | + | 0.749238i | −0.0129578 | + | 0.0268961i | ||||
\(777\) | −10.1682 | + | 15.5590i | −0.364784 | + | 0.558178i | ||||
\(778\) | 6.19603 | − | 0.425172i | 0.222139 | − | 0.0152431i | ||||
\(779\) | −2.38512 | − | 0.314007i | −0.0854557 | − | 0.0112505i | ||||
\(780\) | 12.2417 | − | 38.0949i | 0.438324 | − | 1.36401i | ||||
\(781\) | 1.95172 | + | 14.8248i | 0.0698379 | + | 0.530472i | ||||
\(782\) | −5.43724 | − | 3.60901i | −0.194435 | − | 0.129058i | ||||
\(783\) | −43.7065 | − | 19.9155i | −1.56194 | − | 0.711721i | ||||
\(784\) | −26.8730 | − | 26.2225i | −0.959752 | − | 0.936520i | ||||
\(785\) | −17.5293 | + | 10.1206i | −0.625648 | + | 0.361218i | ||||
\(786\) | −18.7778 | + | 14.8084i | −0.669782 | + | 0.528199i | ||||
\(787\) | −26.7747 | + | 20.5449i | −0.954415 | + | 0.732348i | −0.963527 | − | 0.267610i | \(-0.913766\pi\) |
0.00911235 | + | 0.999958i | \(0.497099\pi\) | |||||||
\(788\) | −12.8243 | − | 46.7145i | −0.456847 | − | 1.66413i | ||||
\(789\) | 11.7273 | − | 8.01013i | 0.417503 | − | 0.285168i | ||||
\(790\) | −2.09498 | − | 1.02517i | −0.0745361 | − | 0.0364738i | ||||
\(791\) | −24.5130 | − | 24.5130i | −0.871582 | − | 0.871582i | ||||
\(792\) | −2.47748 | − | 25.9907i | −0.0880334 | − | 0.923538i | ||||
\(793\) | 54.0880 | − | 54.0880i | 1.92072 | − | 1.92072i | ||||
\(794\) | −10.0324 | + | 3.43985i | −0.356037 | + | 0.122076i | ||||
\(795\) | 5.92548 | − | 12.3311i | 0.210155 | − | 0.437341i | ||||
\(796\) | −10.1176 | − | 13.0197i | −0.358610 | − | 0.461469i | ||||
\(797\) | 14.0534 | + | 18.3147i | 0.497796 | + | 0.648741i | 0.972910 | − | 0.231184i | \(-0.0742598\pi\) |
−0.475114 | + | 0.879924i | \(0.657593\pi\) | |||||||
\(798\) | −7.64597 | + | 10.2429i | −0.270665 | + | 0.362593i | ||||
\(799\) | −6.69577 | − | 11.5974i | −0.236879 | − | 0.410287i | ||||
\(800\) | 11.0034 | − | 2.36442i | 0.389028 | − | 0.0835950i | ||||
\(801\) | 5.49153 | + | 4.03856i | 0.194034 | + | 0.142696i | ||||
\(802\) | 20.6765 | − | 4.17868i | 0.730112 | − | 0.147554i | ||||
\(803\) | 38.3610 | − | 5.05032i | 1.35373 | − | 0.178222i | ||||
\(804\) | −5.53321 | + | 30.4029i | −0.195141 | + | 1.07223i | ||||
\(805\) | 2.95554 | − | 22.4495i | 0.104169 | − | 0.791242i | ||||
\(806\) | −72.3076 | − | 63.0213i | −2.54693 | − | 2.21983i | ||||
\(807\) | −42.5674 | + | 21.5344i | −1.49844 | + | 0.758046i | ||||
\(808\) | −0.679398 | + | 12.0629i | −0.0239011 | + | 0.424373i | ||||
\(809\) | −2.00937 | − | 2.00937i | −0.0706458 | − | 0.0706458i | 0.670901 | − | 0.741547i | \(-0.265908\pi\) |
−0.741547 | + | 0.670901i | \(0.765908\pi\) | |||||||
\(810\) | −17.2259 | − | 13.8189i | −0.605256 | − | 0.485548i | ||||
\(811\) | 1.66716 | + | 4.02487i | 0.0585418 | + | 0.141332i | 0.950444 | − | 0.310896i | \(-0.100629\pi\) |
−0.891902 | + | 0.452229i | \(0.850629\pi\) | |||||||
\(812\) | −18.9257 | + | 72.4029i | −0.664163 | + | 2.54084i | ||||
\(813\) | −23.1015 | − | 19.8464i | −0.810205 | − | 0.696043i | ||||
\(814\) | 5.13364 | + | 10.3301i | 0.179934 | + | 0.362070i | ||||
\(815\) | 19.2922 | + | 11.1384i | 0.675778 | + | 0.390160i | ||||
\(816\) | 5.69324 | + | 8.11985i | 0.199303 | + | 0.284252i | ||||
\(817\) | −3.25451 | + | 1.87899i | −0.113861 | + | 0.0657376i | ||||
\(818\) | 29.0651 | + | 19.2921i | 1.01624 | + | 0.674534i | ||||
\(819\) | −41.8434 | − | 69.1770i | −1.46213 | − | 2.41724i | ||||
\(820\) | −6.47600 | + | 0.0396689i | −0.226152 | + | 0.00138530i | ||||
\(821\) | −16.5684 | + | 21.5924i | −0.578243 | + | 0.753581i | −0.987289 | − | 0.158933i | \(-0.949195\pi\) |
0.409047 | + | 0.912514i | \(0.365861\pi\) | |||||||
\(822\) | 3.07459 | + | 0.780285i | 0.107238 | + | 0.0272156i | ||||
\(823\) | 27.8599 | − | 7.46503i | 0.971133 | − | 0.260214i | 0.261827 | − | 0.965115i | \(-0.415675\pi\) |
0.709306 | + | 0.704900i | \(0.249008\pi\) | |||||||
\(824\) | −9.55581 | + | 11.1004i | −0.332892 | + | 0.386701i | ||||
\(825\) | 0.585533 | − | 10.5868i | 0.0203856 | − | 0.368585i | ||||
\(826\) | −4.35808 | − | 12.7105i | −0.151637 | − | 0.442253i | ||||
\(827\) | 15.2814 | − | 6.32977i | 0.531387 | − | 0.220108i | −0.100824 | − | 0.994904i | \(-0.532148\pi\) |
0.632210 | + | 0.774797i | \(0.282148\pi\) | |||||||
\(828\) | 18.5447 | − | 5.50009i | 0.644473 | − | 0.191142i | ||||
\(829\) | 2.99278 | − | 7.22520i | 0.103943 | − | 0.250942i | −0.863348 | − | 0.504609i | \(-0.831637\pi\) |
0.967292 | + | 0.253667i | \(0.0816368\pi\) | |||||||
\(830\) | 10.2574 | − | 9.05120i | 0.356039 | − | 0.314172i | ||||
\(831\) | −0.806852 | − | 3.85066i | −0.0279894 | − | 0.133578i | ||||
\(832\) | −14.7273 | − | 51.1818i | −0.510577 | − | 1.77441i | ||||
\(833\) | 6.71803 | − | 11.6360i | 0.232766 | − | 0.403162i | ||||
\(834\) | 1.18181 | − | 9.99975i | 0.0409228 | − | 0.346263i | ||||
\(835\) | −10.8432 | + | 1.42754i | −0.375245 | + | 0.0494019i | ||||
\(836\) | 3.08053 | + | 7.31008i | 0.106542 | + | 0.252824i | ||||
\(837\) | −46.7398 | + | 24.8551i | −1.61556 | + | 0.859117i | ||||
\(838\) | −38.3437 | − | 7.50502i | −1.32456 | − | 0.259257i | ||||
\(839\) | 27.7332 | + | 7.43108i | 0.957455 | + | 0.256549i | 0.703523 | − | 0.710673i | \(-0.251609\pi\) |
0.253932 | + | 0.967222i | \(0.418276\pi\) | |||||||
\(840\) | −16.6235 | + | 30.1268i | −0.573564 | + | 1.03947i | ||||
\(841\) | 54.5171 | − | 14.6078i | 1.87990 | − | 0.503718i | ||||
\(842\) | −18.1797 | + | 1.24749i | −0.626512 | + | 0.0429912i | ||||
\(843\) | 14.0546 | − | 9.59975i | 0.484067 | − | 0.330633i | ||||
\(844\) | 0.0977751 | + | 0.166981i | 0.00336556 | + | 0.00574772i | ||||
\(845\) | −50.2055 | − | 20.7958i | −1.72712 | − | 0.715397i | ||||
\(846\) | 39.1010 | + | 6.82835i | 1.34432 | + | 0.234763i | ||||
\(847\) | − | 6.20409i | − | 0.213175i | ||||||
\(848\) | −2.59781 | − | 18.0233i | −0.0892093 | − | 0.618922i | ||||
\(849\) | 34.0226 | + | 38.0064i | 1.16765 | + | 1.30438i | ||||
\(850\) | 1.79232 | + | 3.60658i | 0.0614761 | + | 0.123705i | ||||
\(851\) | −6.78024 | + | 5.20266i | −0.232423 | + | 0.178345i | ||||
\(852\) | 16.8140 | + | 0.826669i | 0.576037 | + | 0.0283212i | ||||
\(853\) | 31.6660 | − | 41.2679i | 1.08422 | − | 1.41299i | 0.181173 | − | 0.983451i | \(-0.442011\pi\) |
0.903050 | − | 0.429535i | \(-0.141323\pi\) | |||||||
\(854\) | −54.5799 | + | 36.7114i | −1.86769 | + | 1.25624i | ||||
\(855\) | 6.25015 | + | 2.44077i | 0.213750 | + | 0.0834726i | ||||
\(856\) | 3.57944 | − | 5.46506i | 0.122343 | − | 0.186792i | ||||
\(857\) | −29.3308 | − | 7.85917i | −1.00192 | − | 0.268464i | −0.279671 | − | 0.960096i | \(-0.590225\pi\) |
−0.722250 | + | 0.691632i | \(0.756892\pi\) | |||||||
\(858\) | −50.1709 | + | 0.665359i | −1.71281 | + | 0.0227150i | ||||
\(859\) | 3.02910 | − | 23.0083i | 0.103351 | − | 0.785032i | −0.858761 | − | 0.512377i | \(-0.828765\pi\) |
0.962112 | − | 0.272655i | \(-0.0879017\pi\) | |||||||
\(860\) | −7.98805 | + | 6.20755i | −0.272390 | + | 0.211676i | ||||
\(861\) | −8.52680 | + | 9.92534i | −0.290593 | + | 0.338255i | ||||
\(862\) | 22.8151 | + | 25.8555i | 0.777087 | + | 0.880642i | ||||
\(863\) | −49.1751 | −1.67394 | −0.836970 | − | 0.547248i | \(-0.815675\pi\) | ||||
−0.836970 | + | 0.547248i | \(0.815675\pi\) | |||||||
\(864\) | −29.2878 | − | 2.49521i | −0.996390 | − | 0.0848887i | ||||
\(865\) | −19.1989 | −0.652781 | ||||||||
\(866\) | −35.4552 | − | 40.1800i | −1.20482 | − | 1.36537i | ||||
\(867\) | 16.8751 | − | 19.6429i | 0.573107 | − | 0.667107i | ||||
\(868\) | 50.6117 | + | 65.1284i | 1.71787 | + | 2.21060i | ||||
\(869\) | −0.381749 | + | 2.89967i | −0.0129499 | + | 0.0983645i | ||||
\(870\) | 39.2812 | − | 0.520942i | 1.33176 | − | 0.0176616i | ||||
\(871\) | 57.3645 | + | 15.3708i | 1.94372 | + | 0.520818i | ||||
\(872\) | −0.0921187 | − | 0.441855i | −0.00311953 | − | 0.0149631i | ||||
\(873\) | 0.688723 | − | 0.551153i | 0.0233097 | − | 0.0186537i | ||||
\(874\) | −4.87662 | + | 3.28010i | −0.164954 | + | 0.110951i | ||||
\(875\) | −29.8854 | + | 38.9474i | −1.01031 | + | 1.31666i | ||||
\(876\) | 2.13911 | − | 43.5083i | 0.0722739 | − | 1.47001i | ||||
\(877\) | 40.3935 | − | 30.9950i | 1.36399 | − | 1.04663i | 0.370977 | − | 0.928642i | \(-0.379023\pi\) |
0.993015 | − | 0.117986i | \(-0.0376438\pi\) | |||||||
\(878\) | −18.3142 | − | 36.8525i | −0.618074 | − | 1.24371i | ||||
\(879\) | −16.5716 | − | 18.5120i | −0.558947 | − | 0.624395i | ||||
\(880\) | 10.9031 | + | 18.3614i | 0.367542 | + | 0.618964i | ||||
\(881\) | 38.1465i | 1.28519i | 0.766206 | + | 0.642594i | \(0.222142\pi\) | ||||
−0.766206 | + | 0.642594i | \(0.777858\pi\) | |||||||
\(882\) | 13.6823 | + | 37.4005i | 0.460707 | + | 1.25934i | ||||
\(883\) | −34.2926 | − | 14.2045i | −1.15404 | − | 0.478018i | −0.278153 | − | 0.960537i | \(-0.589722\pi\) |
−0.875886 | + | 0.482519i | \(0.839722\pi\) | |||||||
\(884\) | 16.4463 | − | 9.63008i | 0.553149 | − | 0.323895i | ||||
\(885\) | −5.82461 | + | 3.97839i | −0.195792 | + | 0.133732i | ||||
\(886\) | −7.80869 | + | 0.535832i | −0.262338 | + | 0.0180016i | ||||
\(887\) | −20.1254 | + | 5.39259i | −0.675745 | + | 0.181065i | −0.580342 | − | 0.814373i | \(-0.697081\pi\) |
−0.0954039 | + | 0.995439i | \(0.530414\pi\) | |||||||
\(888\) | 12.4769 | − | 3.60382i | 0.418699 | − | 0.120936i | ||||
\(889\) | −11.4293 | − | 3.06248i | −0.383328 | − | 0.102712i | ||||
\(890\) | −5.47165 | − | 1.07097i | −0.183410 | − | 0.0358990i | ||||
\(891\) | −9.54515 | + | 25.9952i | −0.319775 | + | 0.870871i | ||||
\(892\) | −3.65039 | + | 1.53831i | −0.122224 | + | 0.0515063i | ||||
\(893\) | −11.9568 | + | 1.57415i | −0.400121 | + | 0.0526769i | ||||
\(894\) | 3.83846 | − | 32.4786i | 0.128377 | − | 1.08625i | ||||
\(895\) | 8.62356 | − | 14.9364i | 0.288254 | − | 0.499270i | ||||
\(896\) | 3.97438 | + | 45.6258i | 0.132775 | + | 1.52425i | ||||
\(897\) | −7.62366 | − | 36.3835i | −0.254547 | − | 1.21481i | ||||
\(898\) | −30.0840 | + | 26.5464i | −1.00392 | + | 0.885864i | ||||
\(899\) | 36.0373 | − | 87.0018i | 1.20191 | − | 2.90167i | ||||
\(900\) | −11.6084 | − | 2.78272i | −0.386945 | − | 0.0927573i | ||||
\(901\) | 6.02019 | − | 2.49364i | 0.200562 | − | 0.0830753i | ||||
\(902\) | 2.63388 | + | 7.68179i | 0.0876987 | + | 0.255776i | ||||
\(903\) | −1.12879 | + | 20.4092i | −0.0375637 | + | 0.679175i | ||||
\(904\) | 1.80620 | + | 24.1546i | 0.0600735 | + | 0.803369i | ||||
\(905\) | 10.9026 | − | 2.92135i | 0.362416 | − | 0.0971090i | ||||
\(906\) | 6.34955 | + | 1.61142i | 0.210950 | + | 0.0535359i | ||||
\(907\) | 11.5092 | − | 14.9990i | 0.382156 | − | 0.498035i | −0.562182 | − | 0.827014i | \(-0.690038\pi\) |
0.944337 | + | 0.328979i | \(0.106705\pi\) | |||||||
\(908\) | 0.316170 | + | 51.6152i | 0.0104925 | + | 1.71291i | ||||
\(909\) | 6.17980 | − | 11.2265i | 0.204971 | − | 0.372358i | ||||
\(910\) | 55.0946 | + | 36.5695i | 1.82637 | + | 1.21227i | ||||
\(911\) | 2.06405 | − | 1.19168i | 0.0683852 | − | 0.0394822i | −0.465418 | − | 0.885091i | \(-0.654096\pi\) |
0.533803 | + | 0.845609i | \(0.320762\pi\) | |||||||
\(912\) | 8.71795 | − | 1.93851i | 0.288680 | − | 0.0641905i | ||||
\(913\) | −14.8558 | − | 8.57699i | −0.491654 | − | 0.283857i | ||||
\(914\) | 9.99205 | + | 20.1064i | 0.330508 | + | 0.665061i | ||||
\(915\) | 26.1917 | + | 22.5011i | 0.865871 | + | 0.743864i | ||||
\(916\) | 30.6492 | + | 8.01154i | 1.01268 | + | 0.264709i | ||||
\(917\) | −15.1241 | − | 36.5127i | −0.499441 | − | 1.20576i | ||||
\(918\) | −1.72309 | − | 10.3764i | −0.0568705 | − | 0.342471i | ||||
\(919\) | −24.2916 | − | 24.2916i | −0.801305 | − | 0.801305i | 0.181995 | − | 0.983300i | \(-0.441745\pi\) |
−0.983300 | + | 0.181995i | \(0.941745\pi\) | |||||||
\(920\) | −11.7986 | + | 10.5404i | −0.388988 | + | 0.347508i | ||||
\(921\) | −8.17605 | + | 4.13617i | −0.269410 | + | 0.136291i | ||||
\(922\) | −13.6535 | − | 11.9000i | −0.449654 | − | 0.391906i | ||||
\(923\) | 4.22280 | − | 32.0754i | 0.138995 | − | 1.05577i | ||||
\(924\) | 42.4499 | + | 7.72571i | 1.39650 | + | 0.254157i | ||||
\(925\) | 5.22906 | − | 0.688419i | 0.171930 | − | 0.0226351i | ||||
\(926\) | −35.3387 | + | 7.14189i | −1.16130 | + | 0.234697i | ||||
\(927\) | 14.2286 | − | 6.23664i | 0.467329 | − | 0.204838i | ||||
\(928\) | 43.0264 | − | 29.7123i | 1.41241 | − | 0.975354i | ||||
\(929\) | 1.94395 | + | 3.36703i | 0.0637791 | + | 0.110469i | 0.896152 | − | 0.443748i | \(-0.146351\pi\) |
−0.832373 | + | 0.554216i | \(0.813018\pi\) | |||||||
\(930\) | 25.9007 | − | 34.6976i | 0.849317 | − | 1.13778i | ||||
\(931\) | −7.36608 | − | 9.59966i | −0.241413 | − | 0.314616i | ||||
\(932\) | 21.3219 | − | 16.5693i | 0.698421 | − | 0.542747i | ||||
\(933\) | 9.34502 | − | 19.4473i | 0.305942 | − | 0.636676i | ||||
\(934\) | 0.302537 | − | 0.103732i | 0.00989930 | − | 0.00339421i | ||||
\(935\) | −5.40346 | + | 5.40346i | −0.176712 | + | 0.176712i | ||||
\(936\) | −9.37680 | + | 55.7055i | −0.306490 | + | 1.82079i | ||||
\(937\) | −16.9736 | − | 16.9736i | −0.554504 | − | 0.554504i | 0.373233 | − | 0.927738i | \(-0.378249\pi\) |
−0.927738 | + | 0.373233i | \(0.878249\pi\) | |||||||
\(938\) | −45.8718 | − | 22.4471i | −1.49777 | − | 0.732923i | ||||
\(939\) | 20.2986 | − | 13.8646i | 0.662420 | − | 0.452454i | ||||
\(940\) | −31.3072 | + | 8.59461i | −1.02113 | + | 0.280325i | ||||
\(941\) | −31.4750 | + | 24.1516i | −1.02606 | + | 0.787321i | −0.977379 | − | 0.211493i | \(-0.932167\pi\) |
−0.0486775 | + | 0.998815i | \(0.515501\pi\) | |||||||
\(942\) | 22.4378 | − | 17.6947i | 0.731062 | − | 0.576526i | ||||
\(943\) | −5.21044 | + | 3.00825i | −0.169675 | + | 0.0979621i | ||||
\(944\) | −3.48629 | + | 8.71719i | −0.113469 | + | 0.283720i | ||||
\(945\) | 29.7108 | − | 21.1949i | 0.966494 | − | 0.689469i | ||||
\(946\) | 10.5692 | + | 7.01542i | 0.343636 | + | 0.228091i | ||||
\(947\) | 6.00271 | + | 45.5951i | 0.195062 | + | 1.48164i | 0.756429 | + | 0.654076i | \(0.226942\pi\) |
−0.561367 | + | 0.827567i | \(0.689724\pi\) | |||||||
\(948\) | 3.13484 | + | 1.00738i | 0.101815 | + | 0.0327180i | ||||
\(949\) | −82.9992 | − | 10.9270i | −2.69427 | − | 0.354707i | ||||
\(950\) | 3.61843 | − | 0.248297i | 0.117398 | − | 0.00805581i | ||||
\(951\) | −9.73298 | + | 14.8930i | −0.315614 | + | 0.482939i | ||||
\(952\) | −15.4700 | + | 5.41038i | −0.501385 | + | 0.175351i | ||||
\(953\) | 25.5953 | − | 25.5953i | 0.829112 | − | 0.829112i | −0.158282 | − | 0.987394i | \(-0.550595\pi\) |
0.987394 | + | 0.158282i | \(0.0505954\pi\) | |||||||
\(954\) | −5.77761 | + | 18.4297i | −0.187057 | + | 0.596685i | ||||
\(955\) | 37.5408 | − | 15.5499i | 1.21479 | − | 0.503183i | ||||
\(956\) | 4.19199 | − | 5.53295i | 0.135579 | − | 0.178948i | ||||
\(957\) | −16.3095 | − | 46.4832i | −0.527210 | − | 1.50259i | ||||
\(958\) | −10.8208 | − | 3.63623i | −0.349603 | − | 0.117481i | ||||
\(959\) | −2.62109 | + | 4.53986i | −0.0846393 | + | 0.146600i | ||||
\(960\) | 22.5358 | − | 8.37527i | 0.727340 | − | 0.270311i | ||||
\(961\) | −36.3959 | − | 63.0396i | −1.17406 | − | 2.03354i | ||||
\(962\) | −4.94409 | − | 24.4638i | −0.159404 | − | 0.788744i | ||||
\(963\) | −5.92898 | + | 3.58628i | −0.191059 | + | 0.115566i | ||||
\(964\) | −11.0484 | − | 26.2178i | −0.355845 | − | 0.844419i | ||||
\(965\) | 15.5444 | + | 11.9276i | 0.500391 | + | 0.383963i | ||||
\(966\) | 0.423901 | + | 31.9639i | 0.0136388 | + | 1.02842i | ||||
\(967\) | 6.85716 | + | 25.5913i | 0.220511 | + | 0.822960i | 0.984153 | + | 0.177320i | \(0.0567427\pi\) |
−0.763642 | + | 0.645640i | \(0.776591\pi\) | |||||||
\(968\) | −2.82811 | + | 3.28525i | −0.0908990 | + | 0.105592i | ||||
\(969\) | 1.44266 | + | 2.85173i | 0.0463448 | + | 0.0916106i | ||||
\(970\) | −0.317123 | + | 0.648059i | −0.0101822 | + | 0.0208079i | ||||
\(971\) | 21.7155 | + | 52.4259i | 0.696885 | + | 1.68243i | 0.730427 | + | 0.682991i | \(0.239321\pi\) |
−0.0335425 | + | 0.999437i | \(0.510679\pi\) | |||||||
\(972\) | 26.8692 | + | 15.8129i | 0.861829 | + | 0.507199i | ||||
\(973\) | 15.3740 | + | 6.36813i | 0.492868 | + | 0.204153i | ||||
\(974\) | 1.79762 | − | 28.7766i | 0.0575995 | − | 0.922061i | ||||
\(975\) | −7.15222 | + | 21.7976i | −0.229054 | + | 0.698082i | ||||
\(976\) | 45.6365 | + | 5.44027i | 1.46079 | + | 0.174139i | ||||
\(977\) | 44.0802 | + | 25.4497i | 1.41025 | + | 0.814209i | 0.995412 | − | 0.0956860i | \(-0.0305045\pi\) |
0.414839 | + | 0.909895i | \(0.363838\pi\) | |||||||
\(978\) | −29.2124 | − | 11.6488i | −0.934110 | − | 0.372487i | ||||
\(979\) | 0.912564 | + | 6.93162i | 0.0291657 | + | 0.221535i | ||||
\(980\) | −23.1735 | − | 22.8913i | −0.740250 | − | 0.731237i | ||||
\(981\) | −0.114449 | + | 0.464853i | −0.00365406 | + | 0.0148416i | ||||
\(982\) | 5.71488 | − | 3.84393i | 0.182369 | − | 0.122665i | ||||
\(983\) | −12.4024 | + | 46.2862i | −0.395574 | + | 1.47630i | 0.425227 | + | 0.905087i | \(0.360194\pi\) |
−0.820801 | + | 0.571214i | \(0.806473\pi\) | |||||||
\(984\) | 9.03963 | − | 1.36885i | 0.288173 | − | 0.0436375i | ||||
\(985\) | −10.8771 | − | 40.5938i | −0.346572 | − | 1.29343i | ||||
\(986\) | 14.1056 | + | 12.2940i | 0.449212 | + | 0.391521i | ||||
\(987\) | −28.4112 | + | 59.1247i | −0.904339 | + | 1.88196i | ||||
\(988\) | −2.34446 | − | 17.0025i | −0.0745872 | − | 0.540921i | ||||
\(989\) | −3.59664 | + | 8.68306i | −0.114367 | + | 0.276105i | ||||
\(990\) | −2.01114 | − | 22.5605i | −0.0639183 | − | 0.717020i | ||||
\(991\) | 13.1381 | 0.417346 | 0.208673 | − | 0.977985i | \(-0.433086\pi\) | ||||
0.208673 | + | 0.977985i | \(0.433086\pi\) | |||||||
\(992\) | 2.88819 | − | 57.5587i | 0.0917003 | − | 1.82749i | ||||
\(993\) | −3.96025 | − | 18.9001i | −0.125675 | − | 0.599776i | ||||
\(994\) | −8.86189 | + | 26.3714i | −0.281082 | + | 0.836449i | ||||
\(995\) | −8.70805 | − | 11.3485i | −0.276064 | − | 0.359773i | ||||
\(996\) | −12.4950 | + | 14.7259i | −0.395918 | + | 0.466607i | ||||
\(997\) | 4.51776 | + | 3.46660i | 0.143079 | + | 0.109788i | 0.677821 | − | 0.735227i | \(-0.262925\pi\) |
−0.534742 | + | 0.845015i | \(0.679591\pi\) | |||||||
\(998\) | 0.912111 | − | 4.66004i | 0.0288724 | − | 0.147511i | ||||
\(999\) | −13.5860 | − | 2.27279i | −0.429841 | − | 0.0719079i |
(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 | 288.2.bc.a.13.12 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bk.a.685.35 | 368 | |||
9.2 | odd | 6 | 864.2.bk.a.397.4 | 368 | |||
9.7 | even | 3 | inner | 288.2.bc.a.205.43 | yes | 368 | |
32.5 | even | 8 | inner | 288.2.bc.a.229.43 | yes | 368 | |
96.5 | odd | 8 | 864.2.bk.a.37.4 | 368 | |||
288.101 | odd | 24 | 864.2.bk.a.613.35 | 368 | |||
288.133 | even | 24 | inner | 288.2.bc.a.133.12 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bc.a.13.12 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bc.a.133.12 | yes | 368 | 288.133 | even | 24 | inner | |
288.2.bc.a.205.43 | yes | 368 | 9.7 | even | 3 | inner | |
288.2.bc.a.229.43 | yes | 368 | 32.5 | even | 8 | inner | |
864.2.bk.a.37.4 | 368 | 96.5 | odd | 8 | |||
864.2.bk.a.397.4 | 368 | 9.2 | odd | 6 | |||
864.2.bk.a.613.35 | 368 | 288.101 | odd | 24 | |||
864.2.bk.a.685.35 | 368 | 3.2 | odd | 2 |