Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.5 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.5 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.79391 | − | 1.22307i | −1.26849 | − | 0.864839i | −0.273212 | − | 0.961954i | \(-0.588086\pi\) |
−0.995273 | + | 0.0971153i | \(0.969038\pi\) | |||||||
\(3\) | 1.34252 | + | 1.24567i | 0.775103 | + | 0.719190i | 0.964896 | − | 0.262634i | \(-0.0845912\pi\) |
−0.189793 | + | 0.981824i | \(0.560782\pi\) | |||||||
\(4\) | 0.991536 | + | 2.52639i | 0.495768 | + | 1.26320i | ||||
\(5\) | 1.96924 | − | 0.607429i | 0.880669 | − | 0.271650i | 0.178739 | − | 0.983896i | \(-0.442798\pi\) |
0.701930 | + | 0.712246i | \(0.252322\pi\) | |||||||
\(6\) | −0.884812 | − | 3.87661i | −0.361223 | − | 1.58262i | ||||
\(7\) | 1.60270 | + | 2.10508i | 0.605762 | + | 0.795646i | ||||
\(8\) | 0.344956 | − | 1.51135i | 0.121960 | − | 0.534344i | ||||
\(9\) | 0.0264586 | + | 0.353066i | 0.00881954 | + | 0.117689i | ||||
\(10\) | −4.27556 | − | 1.31883i | −1.35205 | − | 0.417052i | ||||
\(11\) | 0.146375 | − | 1.95324i | 0.0441339 | − | 0.588925i | −0.930670 | − | 0.365860i | \(-0.880775\pi\) |
0.974804 | − | 0.223065i | \(-0.0716062\pi\) | |||||||
\(12\) | −1.81591 | + | 4.62685i | −0.524207 | + | 1.33566i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | −0.300439 | − | 5.73653i | −0.0802956 | − | 1.53315i | ||||
\(15\) | 3.40039 | + | 1.63754i | 0.877977 | + | 0.422812i | ||||
\(16\) | 1.51170 | − | 1.40265i | 0.377925 | − | 0.350664i | ||||
\(17\) | 4.13378 | − | 0.623068i | 1.00259 | − | 0.151116i | 0.372825 | − | 0.927902i | \(-0.378389\pi\) |
0.629765 | + | 0.776786i | \(0.283151\pi\) | |||||||
\(18\) | 0.384358 | − | 0.665728i | 0.0905941 | − | 0.156914i | ||||
\(19\) | −2.88397 | − | 4.99518i | −0.661627 | − | 1.14597i | −0.980188 | − | 0.198070i | \(-0.936533\pi\) |
0.318561 | − | 0.947902i | \(-0.396801\pi\) | |||||||
\(20\) | 3.48717 | + | 4.37277i | 0.779755 | + | 0.977782i | ||||
\(21\) | −0.470596 | + | 4.82254i | −0.102692 | + | 1.05237i | ||||
\(22\) | −2.65153 | + | 3.32492i | −0.565309 | + | 0.708874i | ||||
\(23\) | 1.19838 | + | 0.180626i | 0.249879 | + | 0.0376632i | 0.272787 | − | 0.962074i | \(-0.412054\pi\) |
−0.0229082 | + | 0.999738i | \(0.507293\pi\) | |||||||
\(24\) | 2.34576 | − | 1.59931i | 0.478827 | − | 0.326458i | ||||
\(25\) | −0.622274 | + | 0.424259i | −0.124455 | + | 0.0848519i | ||||
\(26\) | −2.14692 | − | 0.323597i | −0.421047 | − | 0.0634626i | ||||
\(27\) | 3.02131 | − | 3.78860i | 0.581451 | − | 0.729117i | ||||
\(28\) | −3.72913 | + | 6.13630i | −0.704739 | + | 1.15965i | ||||
\(29\) | 4.84425 | + | 6.07450i | 0.899555 | + | 1.12801i | 0.991221 | + | 0.132216i | \(0.0422093\pi\) |
−0.0916661 | + | 0.995790i | \(0.529219\pi\) | |||||||
\(30\) | −4.09717 | − | 7.09650i | −0.748037 | − | 1.29564i | ||||
\(31\) | −5.35291 | + | 9.27151i | −0.961411 | + | 1.66521i | −0.242447 | + | 0.970165i | \(0.577950\pi\) |
−0.718963 | + | 0.695048i | \(0.755383\pi\) | |||||||
\(32\) | −7.49320 | + | 1.12942i | −1.32462 | + | 0.199655i | ||||
\(33\) | 2.62962 | − | 2.43993i | 0.457758 | − | 0.424737i | ||||
\(34\) | −8.17768 | − | 3.93817i | −1.40246 | − | 0.675390i | ||||
\(35\) | 4.43477 | + | 3.17188i | 0.749614 | + | 0.536145i | ||||
\(36\) | −0.865747 | + | 0.416922i | −0.144291 | + | 0.0694870i | ||||
\(37\) | 0.147931 | − | 0.376923i | 0.0243198 | − | 0.0619658i | −0.918198 | − | 0.396121i | \(-0.870356\pi\) |
0.942518 | + | 0.334156i | \(0.108451\pi\) | |||||||
\(38\) | −0.935859 | + | 12.4882i | −0.151816 | + | 2.02585i | ||||
\(39\) | 1.75004 | + | 0.539817i | 0.280231 | + | 0.0864399i | ||||
\(40\) | −0.238739 | − | 3.18575i | −0.0377479 | − | 0.503711i | ||||
\(41\) | 2.35981 | − | 10.3390i | 0.368541 | − | 1.61468i | −0.362249 | − | 0.932081i | \(-0.617991\pi\) |
0.730790 | − | 0.682602i | \(-0.239152\pi\) | |||||||
\(42\) | 6.74250 | − | 8.07563i | 1.04039 | − | 1.24610i | ||||
\(43\) | 0.267062 | + | 1.17008i | 0.0407266 | + | 0.178435i | 0.991200 | − | 0.132370i | \(-0.0422586\pi\) |
−0.950474 | + | 0.310805i | \(0.899401\pi\) | |||||||
\(44\) | 5.07980 | − | 1.56691i | 0.765808 | − | 0.236221i | ||||
\(45\) | 0.266565 | + | 0.679198i | 0.0397372 | + | 0.101249i | ||||
\(46\) | −1.92886 | − | 1.78972i | −0.284395 | − | 0.263880i | ||||
\(47\) | 10.7816 | + | 7.35075i | 1.57265 | + | 1.07222i | 0.959293 | + | 0.282414i | \(0.0911351\pi\) |
0.613360 | + | 0.789803i | \(0.289817\pi\) | |||||||
\(48\) | 3.77674 | 0.545125 | ||||||||
\(49\) | −1.86273 | + | 6.74761i | −0.266104 | + | 0.963944i | ||||
\(50\) | 1.63520 | 0.231252 | ||||||||
\(51\) | 6.32581 | + | 4.31287i | 0.885791 | + | 0.603922i | ||||
\(52\) | 1.98950 | + | 1.84599i | 0.275894 | + | 0.255993i | ||||
\(53\) | 1.56040 | + | 3.97584i | 0.214338 | + | 0.546124i | 0.997092 | − | 0.0762072i | \(-0.0242811\pi\) |
−0.782754 | + | 0.622331i | \(0.786186\pi\) | |||||||
\(54\) | −10.0537 | + | 3.10115i | −1.36813 | + | 0.422012i | ||||
\(55\) | −0.898209 | − | 3.93531i | −0.121115 | − | 0.530637i | ||||
\(56\) | 3.73438 | − | 1.69608i | 0.499027 | − | 0.226648i | ||||
\(57\) | 2.35059 | − | 10.2986i | 0.311343 | − | 1.36408i | ||||
\(58\) | −1.26063 | − | 16.8219i | −0.165529 | − | 2.20883i | ||||
\(59\) | −8.61113 | − | 2.65618i | −1.12107 | − | 0.345806i | −0.321821 | − | 0.946800i | \(-0.604295\pi\) |
−0.799253 | + | 0.600995i | \(0.794771\pi\) | |||||||
\(60\) | −0.765463 | + | 10.2144i | −0.0988209 | + | 1.31867i | ||||
\(61\) | −2.15148 | + | 5.48189i | −0.275469 | + | 0.701884i | 0.724452 | + | 0.689325i | \(0.242093\pi\) |
−0.999921 | + | 0.0125587i | \(0.996002\pi\) | |||||||
\(62\) | 20.9423 | − | 10.0853i | 2.65968 | − | 1.28083i | ||||
\(63\) | −0.700826 | + | 0.621554i | −0.0882958 | + | 0.0783085i | ||||
\(64\) | 11.1075 | + | 5.34910i | 1.38844 | + | 0.668637i | ||||
\(65\) | 1.51067 | − | 1.40169i | 0.187375 | − | 0.173859i | ||||
\(66\) | −7.70149 | + | 1.16081i | −0.947988 | + | 0.142886i | ||||
\(67\) | 3.49131 | − | 6.04712i | 0.426531 | − | 0.738774i | −0.570031 | − | 0.821623i | \(-0.693069\pi\) |
0.996562 | + | 0.0828495i | \(0.0264021\pi\) | |||||||
\(68\) | 5.67291 | + | 9.82576i | 0.687941 | + | 1.19155i | ||||
\(69\) | 1.38384 | + | 1.73528i | 0.166595 | + | 0.208903i | ||||
\(70\) | −4.07617 | − | 11.1141i | −0.487195 | − | 1.32839i | ||||
\(71\) | 2.28057 | − | 2.85974i | 0.270653 | − | 0.339388i | −0.627867 | − | 0.778321i | \(-0.716072\pi\) |
0.898520 | + | 0.438932i | \(0.144643\pi\) | |||||||
\(72\) | 0.542733 | + | 0.0818039i | 0.0639618 | + | 0.00964068i | ||||
\(73\) | 0.0413083 | − | 0.0281635i | 0.00483477 | − | 0.00329629i | −0.560900 | − | 0.827883i | \(-0.689545\pi\) |
0.565735 | + | 0.824587i | \(0.308593\pi\) | |||||||
\(74\) | −0.726377 | + | 0.495236i | −0.0844396 | + | 0.0575700i | ||||
\(75\) | −1.36390 | − | 0.205575i | −0.157490 | − | 0.0237378i | ||||
\(76\) | 9.76022 | − | 12.2389i | 1.11957 | − | 1.40390i | ||||
\(77\) | 4.34633 | − | 2.82233i | 0.495311 | − | 0.321634i | ||||
\(78\) | −2.47919 | − | 3.10880i | −0.280713 | − | 0.352003i | ||||
\(79\) | −6.04972 | − | 10.4784i | −0.680646 | − | 1.17891i | −0.974784 | − | 0.223151i | \(-0.928366\pi\) |
0.294138 | − | 0.955763i | \(-0.404968\pi\) | |||||||
\(80\) | 2.12488 | − | 3.68041i | 0.237569 | − | 0.411482i | ||||
\(81\) | 9.82583 | − | 1.48100i | 1.09176 | − | 0.164556i | ||||
\(82\) | −16.8786 | + | 15.6611i | −1.86393 | + | 1.72947i | ||||
\(83\) | −8.62083 | − | 4.15157i | −0.946259 | − | 0.455694i | −0.103886 | − | 0.994589i | \(-0.533128\pi\) |
−0.842373 | + | 0.538895i | \(0.818842\pi\) | |||||||
\(84\) | −12.6502 | + | 3.59281i | −1.38026 | + | 0.392008i | ||||
\(85\) | 7.76193 | − | 3.73795i | 0.841899 | − | 0.405437i | ||||
\(86\) | 0.951995 | − | 2.42564i | 0.102656 | − | 0.261564i | ||||
\(87\) | −1.06335 | + | 14.1895i | −0.114004 | + | 1.52127i | ||||
\(88\) | −2.90155 | − | 0.895009i | −0.309306 | − | 0.0954083i | ||||
\(89\) | −0.575740 | − | 7.68272i | −0.0610283 | − | 0.814367i | −0.940798 | − | 0.338967i | \(-0.889923\pi\) |
0.879770 | − | 0.475400i | \(-0.157697\pi\) | |||||||
\(90\) | 0.352510 | − | 1.54445i | 0.0371578 | − | 0.162799i | ||||
\(91\) | 2.35734 | + | 1.20123i | 0.247116 | + | 0.125923i | ||||
\(92\) | 0.731902 | + | 3.20667i | 0.0763060 | + | 0.334318i | ||||
\(93\) | −18.7357 | + | 5.77918i | −1.94280 | + | 0.599273i | ||||
\(94\) | −10.3507 | − | 26.3731i | −1.06759 | − | 2.72018i | ||||
\(95\) | −8.71342 | − | 8.08488i | −0.893978 | − | 0.829491i | ||||
\(96\) | −11.4666 | − | 7.81782i | −1.17031 | − | 0.797903i | ||||
\(97\) | 0.774155 | 0.0786035 | 0.0393017 | − | 0.999227i | \(-0.487487\pi\) | ||||
0.0393017 | + | 0.999227i | \(0.487487\pi\) | |||||||
\(98\) | 11.5943 | − | 9.82636i | 1.17120 | − | 0.992612i | ||||
\(99\) | 0.693496 | 0.0696990 | ||||||||
\(100\) | −1.68885 | − | 1.15144i | −0.168885 | − | 0.115144i | ||||
\(101\) | 11.9297 | + | 11.0691i | 1.18705 | + | 1.10142i | 0.992716 | + | 0.120481i | \(0.0384437\pi\) |
0.194330 | + | 0.980936i | \(0.437747\pi\) | |||||||
\(102\) | −6.07301 | − | 15.4738i | −0.601318 | − | 1.53213i | ||||
\(103\) | −13.4332 | + | 4.14359i | −1.32361 | + | 0.408280i | −0.874426 | − | 0.485160i | \(-0.838762\pi\) |
−0.449184 | + | 0.893439i | \(0.648285\pi\) | |||||||
\(104\) | −0.344956 | − | 1.51135i | −0.0338257 | − | 0.148200i | ||||
\(105\) | 2.00264 | + | 9.78258i | 0.195437 | + | 0.954682i | ||||
\(106\) | 2.06350 | − | 9.04077i | 0.200425 | − | 0.878117i | ||||
\(107\) | −0.492456 | − | 6.57137i | −0.0476076 | − | 0.635279i | −0.969066 | − | 0.246802i | \(-0.920620\pi\) |
0.921458 | − | 0.388477i | \(-0.126999\pi\) | |||||||
\(108\) | 12.5672 | + | 3.87648i | 1.20928 | + | 0.373014i | ||||
\(109\) | −0.0625692 | + | 0.834928i | −0.00599304 | + | 0.0799716i | −0.999398 | − | 0.0346842i | \(-0.988957\pi\) |
0.993405 | + | 0.114656i | \(0.0365765\pi\) | |||||||
\(110\) | −3.20184 | + | 8.15816i | −0.305284 | + | 0.777850i | ||||
\(111\) | 0.668123 | − | 0.321751i | 0.0634155 | − | 0.0305393i | ||||
\(112\) | 5.37550 | + | 0.934224i | 0.507937 | + | 0.0882759i | ||||
\(113\) | 11.0322 | + | 5.31284i | 1.03783 | + | 0.499790i | 0.873606 | − | 0.486634i | \(-0.161775\pi\) |
0.164219 | + | 0.986424i | \(0.447490\pi\) | |||||||
\(114\) | −16.8126 | + | 15.5998i | −1.57464 | + | 1.46106i | ||||
\(115\) | 2.46961 | − | 0.372233i | 0.230292 | − | 0.0347109i | ||||
\(116\) | −10.5433 | + | 18.2616i | −0.978922 | + | 1.69554i | ||||
\(117\) | 0.177028 | + | 0.306621i | 0.0163662 | + | 0.0283471i | ||||
\(118\) | 12.1989 | + | 15.2969i | 1.12300 | + | 1.40820i | ||||
\(119\) | 7.93681 | + | 7.70336i | 0.727566 | + | 0.706166i | ||||
\(120\) | 3.64789 | − | 4.57431i | 0.333005 | − | 0.417575i | ||||
\(121\) | 7.08340 | + | 1.06765i | 0.643945 | + | 0.0970592i | ||||
\(122\) | 10.5643 | − | 7.20260i | 0.956445 | − | 0.652093i | ||||
\(123\) | 16.0471 | − | 10.9408i | 1.44692 | − | 0.986495i | ||||
\(124\) | −28.7311 | − | 4.33051i | −2.58013 | − | 0.388891i | ||||
\(125\) | −7.39211 | + | 9.26941i | −0.661170 | + | 0.829081i | ||||
\(126\) | 2.01742 | − | 0.257855i | 0.179726 | − | 0.0229716i | ||||
\(127\) | −8.63340 | − | 10.8259i | −0.766091 | − | 0.960647i | 0.233842 | − | 0.972275i | \(-0.424870\pi\) |
−0.999932 | + | 0.0116275i | \(0.996299\pi\) | |||||||
\(128\) | −5.80573 | − | 10.0558i | −0.513159 | − | 0.888817i | ||||
\(129\) | −1.09900 | + | 1.90352i | −0.0967613 | + | 0.167596i | ||||
\(130\) | −4.42436 | + | 0.666865i | −0.388042 | + | 0.0584880i | ||||
\(131\) | −4.82406 | + | 4.47608i | −0.421480 | + | 0.391077i | −0.862200 | − | 0.506568i | \(-0.830914\pi\) |
0.440719 | + | 0.897645i | \(0.354723\pi\) | |||||||
\(132\) | 8.77157 | + | 4.22417i | 0.763467 | + | 0.367667i | ||||
\(133\) | 5.89313 | − | 14.0767i | 0.510999 | − | 1.22061i | ||||
\(134\) | −13.6591 | + | 6.57789i | −1.17997 | + | 0.568243i | ||||
\(135\) | 3.64836 | − | 9.29588i | 0.314001 | − | 0.800062i | ||||
\(136\) | 0.484300 | − | 6.46254i | 0.0415284 | − | 0.554158i | ||||
\(137\) | −10.1703 | − | 3.13711i | −0.868905 | − | 0.268022i | −0.171923 | − | 0.985110i | \(-0.554998\pi\) |
−0.696982 | + | 0.717089i | \(0.745474\pi\) | |||||||
\(138\) | −0.360120 | − | 4.80547i | −0.0306555 | − | 0.409069i | ||||
\(139\) | −1.99178 | + | 8.72655i | −0.168940 | + | 0.740177i | 0.817483 | + | 0.575953i | \(0.195369\pi\) |
−0.986423 | + | 0.164223i | \(0.947488\pi\) | |||||||
\(140\) | −3.61616 | + | 14.3490i | −0.305622 | + | 1.21271i | ||||
\(141\) | 5.31780 | + | 23.2988i | 0.447840 | + | 1.96211i | ||||
\(142\) | −7.58878 | + | 2.34083i | −0.636836 | + | 0.196438i | ||||
\(143\) | −0.715601 | − | 1.82332i | −0.0598416 | − | 0.152474i | ||||
\(144\) | 0.535226 | + | 0.496618i | 0.0446022 | + | 0.0413848i | ||||
\(145\) | 13.2293 | + | 9.01958i | 1.09863 | + | 0.749036i | ||||
\(146\) | −0.108549 | −0.00898359 | ||||||||
\(147\) | −10.9061 | + | 6.73843i | −0.899517 | + | 0.555777i | ||||
\(148\) | 1.09893 | 0.0903318 | ||||||||
\(149\) | 2.93125 | + | 1.99849i | 0.240137 | + | 0.163723i | 0.677409 | − | 0.735607i | \(-0.263103\pi\) |
−0.437272 | + | 0.899330i | \(0.644055\pi\) | |||||||
\(150\) | 2.19529 | + | 2.03693i | 0.179244 | + | 0.166314i | ||||
\(151\) | −2.60416 | − | 6.63528i | −0.211923 | − | 0.539972i | 0.784900 | − | 0.619623i | \(-0.212715\pi\) |
−0.996823 | + | 0.0796514i | \(0.974619\pi\) | |||||||
\(152\) | −8.54431 | + | 2.63557i | −0.693035 | + | 0.213773i | ||||
\(153\) | 0.329358 | + | 1.44301i | 0.0266270 | + | 0.116661i | ||||
\(154\) | −11.2488 | − | 0.252856i | −0.906455 | − | 0.0203757i | ||||
\(155\) | −4.90936 | + | 21.5093i | −0.394329 | + | 1.72767i | ||||
\(156\) | 0.371442 | + | 4.95654i | 0.0297391 | + | 0.396841i | ||||
\(157\) | −15.3195 | − | 4.72543i | −1.22263 | − | 0.377130i | −0.384766 | − | 0.923014i | \(-0.625718\pi\) |
−0.837861 | + | 0.545884i | \(0.816194\pi\) | |||||||
\(158\) | −1.96316 | + | 26.1965i | −0.156181 | + | 2.08408i | ||||
\(159\) | −2.85773 | + | 7.28139i | −0.226633 | + | 0.577452i | ||||
\(160\) | −14.0698 | + | 6.77568i | −1.11232 | + | 0.535664i | ||||
\(161\) | 1.54040 | + | 2.81217i | 0.121401 | + | 0.221630i | ||||
\(162\) | −19.4380 | − | 9.36085i | −1.52719 | − | 0.735458i | ||||
\(163\) | −17.3804 | + | 16.1266i | −1.36133 | + | 1.26313i | −0.428163 | + | 0.903701i | \(0.640839\pi\) |
−0.933171 | + | 0.359432i | \(0.882970\pi\) | |||||||
\(164\) | 28.4603 | − | 4.28969i | 2.22237 | − | 0.334969i | ||||
\(165\) | 3.69625 | − | 6.40210i | 0.287753 | − | 0.498403i | ||||
\(166\) | 10.3873 | + | 17.9914i | 0.806213 | + | 1.39640i | ||||
\(167\) | 3.31198 | + | 4.15310i | 0.256289 | + | 0.321376i | 0.893285 | − | 0.449491i | \(-0.148395\pi\) |
−0.636996 | + | 0.770867i | \(0.719823\pi\) | |||||||
\(168\) | 7.12623 | + | 2.37480i | 0.549800 | + | 0.183220i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −18.4959 | − | 2.78782i | −1.41857 | − | 0.213816i | ||||
\(171\) | 1.68732 | − | 1.15039i | 0.129033 | − | 0.0879729i | ||||
\(172\) | −2.69127 | + | 1.83488i | −0.205207 | + | 0.139908i | ||||
\(173\) | −0.640727 | − | 0.0965741i | −0.0487136 | − | 0.00734239i | 0.124640 | − | 0.992202i | \(-0.460222\pi\) |
−0.173354 | + | 0.984860i | \(0.555460\pi\) | |||||||
\(174\) | 19.2622 | − | 24.1541i | 1.46027 | − | 1.83112i | ||||
\(175\) | −1.89042 | − | 0.629978i | −0.142902 | − | 0.0476219i | ||||
\(176\) | −2.51845 | − | 3.15804i | −0.189835 | − | 0.238046i | ||||
\(177\) | −8.25186 | − | 14.2926i | −0.620248 | − | 1.07430i | ||||
\(178\) | −8.36365 | + | 14.4863i | −0.626882 | + | 1.08579i | ||||
\(179\) | −25.2028 | + | 3.79872i | −1.88375 | + | 0.283929i | −0.987257 | − | 0.159133i | \(-0.949130\pi\) |
−0.896491 | + | 0.443062i | \(0.853892\pi\) | |||||||
\(180\) | −1.45161 | + | 1.34690i | −0.108197 | + | 0.100392i | ||||
\(181\) | 10.5256 | + | 5.06888i | 0.782365 | + | 0.376767i | 0.782036 | − | 0.623233i | \(-0.214181\pi\) |
0.000328569 | 1.00000i | \(0.499895\pi\) | ||||||||
\(182\) | −2.75967 | − | 5.03808i | −0.204560 | − | 0.373447i | ||||
\(183\) | −9.71705 | + | 4.67948i | −0.718305 | + | 0.345917i | ||||
\(184\) | 0.686378 | − | 1.74886i | 0.0506005 | − | 0.128928i | ||||
\(185\) | 0.0623579 | − | 0.832108i | 0.00458464 | − | 0.0611778i | ||||
\(186\) | 40.6784 | + | 12.5476i | 2.98268 | + | 0.920036i | ||||
\(187\) | −0.611919 | − | 8.16549i | −0.0447480 | − | 0.597120i | ||||
\(188\) | −7.88056 | + | 34.5270i | −0.574749 | + | 2.51814i | ||||
\(189\) | 12.8176 | + | 0.288119i | 0.932340 | + | 0.0209576i | ||||
\(190\) | 5.74275 | + | 25.1606i | 0.416623 | + | 1.82534i | ||||
\(191\) | −2.22001 | + | 0.684782i | −0.160634 | + | 0.0495491i | −0.374029 | − | 0.927417i | \(-0.622024\pi\) |
0.213395 | + | 0.976966i | \(0.431548\pi\) | |||||||
\(192\) | 8.24880 | + | 21.0176i | 0.595306 | + | 1.51681i | ||||
\(193\) | −1.91425 | − | 1.77616i | −0.137791 | − | 0.127851i | 0.608267 | − | 0.793733i | \(-0.291865\pi\) |
−0.746057 | + | 0.665882i | \(0.768056\pi\) | |||||||
\(194\) | −1.38876 | − | 0.946842i | −0.0997074 | − | 0.0679793i | ||||
\(195\) | 3.77415 | 0.270272 | ||||||||
\(196\) | −18.8941 | + | 1.98452i | −1.34958 | + | 0.141751i | ||||
\(197\) | −18.8436 | −1.34255 | −0.671274 | − | 0.741209i | \(-0.734253\pi\) | ||||
−0.671274 | + | 0.741209i | \(0.734253\pi\) | |||||||
\(198\) | −1.24407 | − | 0.848192i | −0.0884121 | − | 0.0602784i | ||||
\(199\) | 7.61269 | + | 7.06355i | 0.539649 | + | 0.500721i | 0.902244 | − | 0.431225i | \(-0.141919\pi\) |
−0.362595 | + | 0.931947i | \(0.618109\pi\) | |||||||
\(200\) | 0.426548 | + | 1.08683i | 0.0301615 | + | 0.0768503i | ||||
\(201\) | 12.2199 | − | 3.76934i | 0.861924 | − | 0.265868i | ||||
\(202\) | −7.86247 | − | 34.4477i | −0.553201 | − | 2.42373i | ||||
\(203\) | −5.02344 | + | 19.9331i | −0.352577 | + | 1.39903i | ||||
\(204\) | −4.62372 | + | 20.2578i | −0.323725 | + | 1.41833i | ||||
\(205\) | −1.63319 | − | 21.7934i | −0.114067 | − | 1.52212i | ||||
\(206\) | 29.1658 | + | 8.99645i | 2.03208 | + | 0.626812i | ||||
\(207\) | −0.0320656 | + | 0.427885i | −0.00222871 | + | 0.0297401i | ||||
\(208\) | 0.753407 | − | 1.91965i | 0.0522394 | − | 0.133104i | ||||
\(209\) | −10.1789 | + | 4.90192i | −0.704092 | + | 0.339073i | ||||
\(210\) | 8.37219 | − | 19.9984i | 0.577736 | − | 1.38002i | ||||
\(211\) | −4.35614 | − | 2.09781i | −0.299889 | − | 0.144419i | 0.277888 | − | 0.960613i | \(-0.410366\pi\) |
−0.577777 | + | 0.816194i | \(0.696080\pi\) | |||||||
\(212\) | −8.49734 | + | 7.88438i | −0.583599 | + | 0.541501i | ||||
\(213\) | 6.62400 | − | 0.998407i | 0.453869 | − | 0.0684097i | ||||
\(214\) | −7.15380 | + | 12.3908i | −0.489024 | + | 0.847014i | ||||
\(215\) | 1.23665 | + | 2.14193i | 0.0843386 | + | 0.146079i | ||||
\(216\) | −4.68369 | − | 5.87317i | −0.318685 | − | 0.399618i | ||||
\(217\) | −28.0964 | + | 3.59111i | −1.90731 | + | 0.243781i | ||||
\(218\) | 1.13342 | − | 1.42126i | 0.0767646 | − | 0.0962598i | ||||
\(219\) | 0.0905396 | + | 0.0136466i | 0.00611810 | + | 0.000922155i | ||||
\(220\) | 9.05153 | − | 6.17123i | 0.610254 | − | 0.416064i | ||||
\(221\) | 3.45407 | − | 2.35495i | 0.232346 | − | 0.158411i | ||||
\(222\) | −1.59208 | − | 0.239967i | −0.106853 | − | 0.0161055i | ||||
\(223\) | 8.34680 | − | 10.4666i | 0.558943 | − | 0.700892i | −0.419419 | − | 0.907793i | \(-0.637766\pi\) |
0.978362 | + | 0.206900i | \(0.0663376\pi\) | |||||||
\(224\) | −14.3869 | − | 13.9637i | −0.961262 | − | 0.932988i | ||||
\(225\) | −0.166256 | − | 0.208478i | −0.0110837 | − | 0.0138986i | ||||
\(226\) | −13.2929 | − | 23.0239i | −0.884228 | − | 1.53153i | ||||
\(227\) | 14.1883 | − | 24.5748i | 0.941709 | − | 1.63109i | 0.179498 | − | 0.983758i | \(-0.442553\pi\) |
0.762211 | − | 0.647329i | \(-0.224114\pi\) | |||||||
\(228\) | 28.3490 | − | 4.27292i | 1.87746 | − | 0.282981i | ||||
\(229\) | −7.57760 | + | 7.03098i | −0.500742 | + | 0.464621i | −0.889642 | − | 0.456660i | \(-0.849046\pi\) |
0.388900 | + | 0.921280i | \(0.372855\pi\) | |||||||
\(230\) | −4.88552 | − | 2.35274i | −0.322141 | − | 0.155135i | ||||
\(231\) | 9.35072 | + | 1.62509i | 0.615232 | + | 0.106923i | ||||
\(232\) | 10.8518 | − | 5.22593i | 0.712453 | − | 0.343099i | ||||
\(233\) | −0.144745 | + | 0.368805i | −0.00948257 | + | 0.0241612i | −0.935537 | − | 0.353230i | \(-0.885083\pi\) |
0.926054 | + | 0.377391i | \(0.123179\pi\) | |||||||
\(234\) | 0.0574463 | − | 0.766567i | 0.00375538 | − | 0.0501121i | ||||
\(235\) | 25.6965 | + | 7.92632i | 1.67625 | + | 0.517056i | ||||
\(236\) | −1.82769 | − | 24.3888i | −0.118972 | − | 1.58758i | ||||
\(237\) | 4.93084 | − | 21.6034i | 0.320293 | − | 1.40329i | ||||
\(238\) | −4.81619 | − | 23.5264i | −0.312187 | − | 1.52499i | ||||
\(239\) | 0.604746 | + | 2.64956i | 0.0391177 | + | 0.171386i | 0.990713 | − | 0.135967i | \(-0.0434140\pi\) |
−0.951596 | + | 0.307353i | \(0.900557\pi\) | |||||||
\(240\) | 7.43728 | − | 2.29410i | 0.480074 | − | 0.148083i | ||||
\(241\) | −7.81494 | − | 19.9122i | −0.503405 | − | 1.28265i | −0.926406 | − | 0.376526i | \(-0.877119\pi\) |
0.423001 | − | 0.906129i | \(-0.360977\pi\) | |||||||
\(242\) | −11.4012 | − | 10.5787i | −0.732895 | − | 0.680027i | ||||
\(243\) | 3.02481 | + | 2.06228i | 0.194042 | + | 0.132296i | ||||
\(244\) | −15.9827 | −1.02319 | ||||||||
\(245\) | 0.430544 | + | 14.4191i | 0.0275065 | + | 0.921203i | ||||
\(246\) | −42.1684 | −2.68856 | ||||||||
\(247\) | −4.76569 | − | 3.24919i | −0.303234 | − | 0.206741i | ||||
\(248\) | 12.1660 | + | 11.2884i | 0.772542 | + | 0.716814i | ||||
\(249\) | −6.40210 | − | 16.3123i | −0.405717 | − | 1.03375i | ||||
\(250\) | 24.5979 | − | 7.58744i | 1.55571 | − | 0.479872i | ||||
\(251\) | 4.70262 | + | 20.6035i | 0.296827 | + | 1.30048i | 0.874822 | + | 0.484444i | \(0.160978\pi\) |
−0.577995 | + | 0.816040i | \(0.696165\pi\) | |||||||
\(252\) | −2.26518 | − | 1.15427i | −0.142693 | − | 0.0727121i | ||||
\(253\) | 0.528221 | − | 2.31429i | 0.0332090 | − | 0.145498i | ||||
\(254\) | 2.24669 | + | 29.9800i | 0.140970 | + | 1.88111i | ||||
\(255\) | 15.0768 | + | 4.65057i | 0.944145 | + | 0.291230i | ||||
\(256\) | −0.0413766 | + | 0.552132i | −0.00258604 | + | 0.0345082i | ||||
\(257\) | 10.7232 | − | 27.3223i | 0.668896 | − | 1.70432i | −0.0401846 | − | 0.999192i | \(-0.512795\pi\) |
0.709081 | − | 0.705127i | \(-0.249110\pi\) | |||||||
\(258\) | 4.29963 | − | 2.07059i | 0.267683 | − | 0.128910i | ||||
\(259\) | 1.03054 | − | 0.292686i | 0.0640348 | − | 0.0181866i | ||||
\(260\) | 5.03911 | + | 2.42671i | 0.312512 | + | 0.150498i | ||||
\(261\) | −2.01652 | + | 1.87106i | −0.124820 | + | 0.115816i | ||||
\(262\) | 14.1285 | − | 2.12952i | 0.872860 | − | 0.131562i | ||||
\(263\) | 12.8964 | − | 22.3372i | 0.795226 | − | 1.37737i | −0.127470 | − | 0.991842i | \(-0.540686\pi\) |
0.922696 | − | 0.385529i | \(-0.125981\pi\) | |||||||
\(264\) | −2.78049 | − | 4.81595i | −0.171127 | − | 0.296401i | ||||
\(265\) | 5.48784 | + | 6.88153i | 0.337115 | + | 0.422729i | ||||
\(266\) | −27.7885 | + | 18.0447i | −1.70382 | + | 1.10639i | ||||
\(267\) | 8.79722 | − | 11.0314i | 0.538381 | − | 0.675109i | ||||
\(268\) | 18.7392 | + | 2.82447i | 1.14468 | + | 0.172532i | ||||
\(269\) | 8.67642 | − | 5.91548i | 0.529011 | − | 0.360673i | −0.269169 | − | 0.963093i | \(-0.586749\pi\) |
0.798180 | + | 0.602420i | \(0.205797\pi\) | |||||||
\(270\) | −17.9143 | + | 12.2138i | −1.09023 | + | 0.743306i | ||||
\(271\) | −25.8236 | − | 3.89228i | −1.56867 | − | 0.236439i | −0.693574 | − | 0.720386i | \(-0.743965\pi\) |
−0.875098 | + | 0.483946i | \(0.839203\pi\) | |||||||
\(272\) | 5.37510 | − | 6.74016i | 0.325913 | − | 0.408682i | ||||
\(273\) | 1.66843 | + | 4.54915i | 0.100978 | + | 0.275327i | ||||
\(274\) | 14.4076 | + | 18.0666i | 0.870397 | + | 1.09144i | ||||
\(275\) | 0.737597 | + | 1.27756i | 0.0444788 | + | 0.0770395i | ||||
\(276\) | −3.01187 | + | 5.21672i | −0.181294 | + | 0.314010i | ||||
\(277\) | 1.42708 | − | 0.215098i | 0.0857451 | − | 0.0129240i | −0.106030 | − | 0.994363i | \(-0.533814\pi\) |
0.191775 | + | 0.981439i | \(0.438576\pi\) | |||||||
\(278\) | 14.2462 | − | 13.2186i | 0.854432 | − | 0.792797i | ||||
\(279\) | −3.41508 | − | 1.64462i | −0.204456 | − | 0.0984606i | ||||
\(280\) | 6.32362 | − | 5.60835i | 0.377909 | − | 0.335163i | ||||
\(281\) | 2.80745 | − | 1.35199i | 0.167478 | − | 0.0806532i | −0.348267 | − | 0.937396i | \(-0.613230\pi\) |
0.515745 | + | 0.856742i | \(0.327515\pi\) | |||||||
\(282\) | 18.9563 | − | 48.3000i | 1.12883 | − | 2.87622i | ||||
\(283\) | 0.164940 | − | 2.20097i | 0.00980468 | − | 0.130834i | −0.990153 | − | 0.139986i | \(-0.955294\pi\) |
0.999958 | + | 0.00915195i | \(0.00291320\pi\) | |||||||
\(284\) | 9.48608 | + | 2.92607i | 0.562895 | + | 0.173630i | ||||
\(285\) | −1.62680 | − | 21.7082i | −0.0963635 | − | 1.28588i | ||||
\(286\) | −0.946321 | + | 4.14610i | −0.0559571 | + | 0.245164i | ||||
\(287\) | 25.5465 | − | 11.6027i | 1.50796 | − | 0.684887i | ||||
\(288\) | −0.597019 | − | 2.61571i | −0.0351797 | − | 0.154132i | ||||
\(289\) | 0.455219 | − | 0.140416i | 0.0267776 | − | 0.00825979i | ||||
\(290\) | −12.7006 | − | 32.3606i | −0.745805 | − | 1.90028i | ||||
\(291\) | 1.03932 | + | 0.964344i | 0.0609258 | + | 0.0565309i | ||||
\(292\) | 0.112111 | + | 0.0764357i | 0.00656078 | + | 0.00447306i | ||||
\(293\) | −25.4482 | −1.48670 | −0.743350 | − | 0.668903i | \(-0.766764\pi\) | ||||
−0.743350 | + | 0.668903i | \(0.766764\pi\) | |||||||
\(294\) | 27.8060 | + | 1.25071i | 1.62168 | + | 0.0729427i | ||||
\(295\) | −18.5708 | −1.08123 | ||||||||
\(296\) | −0.518634 | − | 0.353598i | −0.0301450 | − | 0.0205525i | ||||
\(297\) | −6.95782 | − | 6.45591i | −0.403734 | − | 0.374610i | ||||
\(298\) | −2.81411 | − | 7.17023i | −0.163017 | − | 0.415360i | ||||
\(299\) | 1.15807 | − | 0.357218i | 0.0669730 | − | 0.0206584i | ||||
\(300\) | −0.832995 | − | 3.64959i | −0.0480930 | − | 0.210709i | ||||
\(301\) | −2.03508 | + | 2.43746i | −0.117300 | + | 0.140493i | ||||
\(302\) | −3.44377 | + | 15.0881i | −0.198167 | + | 0.868225i | ||||
\(303\) | 2.22728 | + | 29.7209i | 0.127954 | + | 1.70742i | ||||
\(304\) | −11.3662 | − | 3.50601i | −0.651896 | − | 0.201083i | ||||
\(305\) | −0.906920 | + | 12.1020i | −0.0519301 | + | 0.692959i | ||||
\(306\) | 1.17406 | − | 2.99146i | 0.0671166 | − | 0.171010i | ||||
\(307\) | −15.2969 | + | 7.36660i | −0.873040 | + | 0.420434i | −0.816077 | − | 0.577943i | \(-0.803856\pi\) |
−0.0569623 | + | 0.998376i | \(0.518141\pi\) | |||||||
\(308\) | 11.4398 | + | 8.18210i | 0.651846 | + | 0.466218i | ||||
\(309\) | −23.1958 | − | 11.1705i | −1.31956 | − | 0.635469i | ||||
\(310\) | 35.1142 | − | 32.5813i | 1.99435 | − | 1.85049i | ||||
\(311\) | −28.6360 | + | 4.31619i | −1.62380 | + | 0.244748i | −0.896977 | − | 0.442077i | \(-0.854242\pi\) |
−0.726823 | + | 0.686825i | \(0.759004\pi\) | |||||||
\(312\) | 1.41954 | − | 2.45872i | 0.0803658 | − | 0.139198i | ||||
\(313\) | 6.69180 | + | 11.5905i | 0.378243 | + | 0.655136i | 0.990807 | − | 0.135285i | \(-0.0431952\pi\) |
−0.612564 | + | 0.790421i | \(0.709862\pi\) | |||||||
\(314\) | 21.7022 | + | 27.2137i | 1.22473 | + | 1.53576i | ||||
\(315\) | −1.00254 | + | 1.64969i | −0.0564868 | + | 0.0929495i | ||||
\(316\) | 20.4741 | − | 25.6737i | 1.15176 | − | 1.44426i | ||||
\(317\) | −2.56308 | − | 0.386322i | −0.143957 | − | 0.0216980i | 0.0766684 | − | 0.997057i | \(-0.475572\pi\) |
−0.220625 | + | 0.975359i | \(0.570810\pi\) | |||||||
\(318\) | 14.0321 | − | 9.56695i | 0.786883 | − | 0.536488i | ||||
\(319\) | 12.5741 | − | 8.57285i | 0.704012 | − | 0.479987i | ||||
\(320\) | 25.1225 | + | 3.78661i | 1.40439 | + | 0.211678i | ||||
\(321\) | 7.52466 | − | 9.43562i | 0.419985 | − | 0.526645i | ||||
\(322\) | 0.676129 | − | 6.92880i | 0.0376792 | − | 0.386127i | ||||
\(323\) | −15.0340 | − | 18.8521i | −0.836516 | − | 1.04896i | ||||
\(324\) | 13.4843 | + | 23.3554i | 0.749125 | + | 1.29752i | ||||
\(325\) | −0.376571 | + | 0.652239i | −0.0208884 | + | 0.0361797i | ||||
\(326\) | 50.9027 | − | 7.67235i | 2.81924 | − | 0.424932i | ||||
\(327\) | −1.12405 | + | 1.04296i | −0.0621600 | + | 0.0576761i | ||||
\(328\) | −14.8119 | − | 7.13302i | −0.817849 | − | 0.393855i | ||||
\(329\) | 1.80567 | + | 34.4771i | 0.0995496 | + | 1.90078i | ||||
\(330\) | −14.4609 | + | 6.96402i | −0.796048 | + | 0.383357i | ||||
\(331\) | −10.7922 | + | 27.4981i | −0.593194 | + | 1.51143i | 0.246927 | + | 0.969034i | \(0.420579\pi\) |
−0.840121 | + | 0.542399i | \(0.817516\pi\) | |||||||
\(332\) | 1.94064 | − | 25.8960i | 0.106506 | − | 1.42123i | ||||
\(333\) | 0.136993 | + | 0.0422566i | 0.00750715 | + | 0.00231565i | ||||
\(334\) | −0.861885 | − | 11.5011i | −0.0471602 | − | 0.629309i | ||||
\(335\) | 3.20201 | − | 14.0289i | 0.174945 | − | 0.766483i | ||||
\(336\) | 6.05296 | + | 7.95033i | 0.330216 | + | 0.433726i | ||||
\(337\) | 2.79968 | + | 12.2662i | 0.152508 | + | 0.668182i | 0.992151 | + | 0.125043i | \(0.0399070\pi\) |
−0.839643 | + | 0.543139i | \(0.817236\pi\) | |||||||
\(338\) | −2.07472 | + | 0.639965i | −0.112850 | + | 0.0348095i | ||||
\(339\) | 8.19289 | + | 20.8752i | 0.444977 | + | 1.13378i | ||||
\(340\) | 17.1397 | + | 15.9034i | 0.929533 | + | 0.862481i | ||||
\(341\) | 17.3260 | + | 11.8127i | 0.938255 | + | 0.639692i | ||||
\(342\) | −4.43391 | −0.239758 | ||||||||
\(343\) | −17.1896 | + | 6.89318i | −0.928154 | + | 0.372197i | ||||
\(344\) | 1.86052 | 0.100313 | ||||||||
\(345\) | 3.77917 | + | 2.57659i | 0.203464 | + | 0.138719i | ||||
\(346\) | 1.03129 | + | 0.956897i | 0.0554425 | + | 0.0514431i | ||||
\(347\) | −1.07017 | − | 2.72675i | −0.0574499 | − | 0.146380i | 0.899267 | − | 0.437400i | \(-0.144101\pi\) |
−0.956717 | + | 0.291020i | \(0.906005\pi\) | |||||||
\(348\) | −36.9025 | + | 11.3829i | −1.97818 | + | 0.610189i | ||||
\(349\) | −3.30762 | − | 14.4916i | −0.177053 | − | 0.775720i | −0.982981 | − | 0.183706i | \(-0.941190\pi\) |
0.805928 | − | 0.592013i | \(-0.201667\pi\) | |||||||
\(350\) | 2.62073 | + | 3.44223i | 0.140084 | + | 0.183995i | ||||
\(351\) | 1.07829 | − | 4.72431i | 0.0575550 | − | 0.252165i | ||||
\(352\) | 1.10921 | + | 14.8014i | 0.0591211 | + | 0.788916i | ||||
\(353\) | 1.33347 | + | 0.411320i | 0.0709732 | + | 0.0218923i | 0.330038 | − | 0.943967i | \(-0.392938\pi\) |
−0.259065 | + | 0.965860i | \(0.583414\pi\) | |||||||
\(354\) | −2.67776 | + | 35.7323i | −0.142321 | + | 1.89915i | ||||
\(355\) | 2.75388 | − | 7.01678i | 0.146161 | − | 0.372412i | ||||
\(356\) | 18.8387 | − | 9.07223i | 0.998449 | − | 0.480827i | ||||
\(357\) | 1.05943 | + | 20.2286i | 0.0560709 | + | 1.07061i | ||||
\(358\) | 49.8577 | + | 24.0102i | 2.63506 | + | 1.26898i | ||||
\(359\) | 1.11016 | − | 1.03008i | 0.0585922 | − | 0.0543656i | −0.650333 | − | 0.759649i | \(-0.725371\pi\) |
0.708925 | + | 0.705283i | \(0.249180\pi\) | |||||||
\(360\) | 1.11846 | − | 0.168581i | 0.0589480 | − | 0.00888499i | ||||
\(361\) | −7.13453 | + | 12.3574i | −0.375501 | + | 0.650388i | ||||
\(362\) | −12.6825 | − | 21.9667i | −0.666576 | − | 1.15454i | ||||
\(363\) | 8.17964 | + | 10.2569i | 0.429320 | + | 0.538350i | ||||
\(364\) | −0.697386 | + | 7.14662i | −0.0365529 | + | 0.374585i | ||||
\(365\) | 0.0642384 | − | 0.0805524i | 0.00336239 | − | 0.00421631i | ||||
\(366\) | 23.1548 | + | 3.49003i | 1.21032 | + | 0.182427i | ||||
\(367\) | −0.734050 | + | 0.500467i | −0.0383171 | + | 0.0261242i | −0.582327 | − | 0.812955i | \(-0.697858\pi\) |
0.544010 | + | 0.839079i | \(0.316905\pi\) | |||||||
\(368\) | 2.06495 | − | 1.40786i | 0.107643 | − | 0.0733896i | ||||
\(369\) | 3.71279 | + | 0.559613i | 0.193280 | + | 0.0291323i | ||||
\(370\) | −1.12959 | + | 1.41646i | −0.0587245 | + | 0.0736381i | ||||
\(371\) | −5.86861 | + | 9.65684i | −0.304683 | + | 0.501358i | ||||
\(372\) | −33.1775 | − | 41.6033i | −1.72018 | − | 2.15703i | ||||
\(373\) | −5.09265 | − | 8.82073i | −0.263687 | − | 0.456720i | 0.703531 | − | 0.710664i | \(-0.251605\pi\) |
−0.967219 | + | 0.253944i | \(0.918272\pi\) | |||||||
\(374\) | −8.88921 | + | 15.3966i | −0.459650 | + | 0.796138i | ||||
\(375\) | −21.4707 | + | 3.23619i | −1.10874 | + | 0.167116i | ||||
\(376\) | 14.8287 | − | 13.7591i | 0.764734 | − | 0.709569i | ||||
\(377\) | 7.00015 | + | 3.37109i | 0.360526 | + | 0.173620i | ||||
\(378\) | −22.6411 | − | 16.1936i | −1.16453 | − | 0.832908i | ||||
\(379\) | 18.5792 | − | 8.94728i | 0.954350 | − | 0.459591i | 0.109141 | − | 0.994026i | \(-0.465190\pi\) |
0.845209 | + | 0.534435i | \(0.179476\pi\) | |||||||
\(380\) | 11.7859 | − | 30.0300i | 0.604604 | − | 1.54050i | ||||
\(381\) | 1.89510 | − | 25.2884i | 0.0970892 | − | 1.29556i | ||||
\(382\) | 4.82003 | + | 1.48678i | 0.246614 | + | 0.0760704i | ||||
\(383\) | 0.151124 | + | 2.01660i | 0.00772205 | + | 0.103044i | 0.999733 | − | 0.0231085i | \(-0.00735631\pi\) |
−0.992011 | + | 0.126152i | \(0.959737\pi\) | |||||||
\(384\) | 4.73198 | − | 20.7322i | 0.241478 | − | 1.05798i | ||||
\(385\) | 6.84459 | − | 8.19791i | 0.348833 | − | 0.417804i | ||||
\(386\) | 1.26162 | + | 5.52753i | 0.0642149 | + | 0.281344i | ||||
\(387\) | −0.406047 | + | 0.125249i | −0.0206406 | + | 0.00636677i | ||||
\(388\) | 0.767602 | + | 1.95582i | 0.0389691 | + | 0.0992916i | ||||
\(389\) | −8.75448 | − | 8.12297i | −0.443870 | − | 0.411851i | 0.426316 | − | 0.904574i | \(-0.359811\pi\) |
−0.870186 | + | 0.492723i | \(0.836002\pi\) | |||||||
\(390\) | −6.77048 | − | 4.61603i | −0.342837 | − | 0.233742i | ||||
\(391\) | 5.06638 | 0.256218 | ||||||||
\(392\) | 9.55546 | + | 5.14287i | 0.482623 | + | 0.259754i | ||||
\(393\) | −12.0521 | −0.607949 | ||||||||
\(394\) | 33.8036 | + | 23.0469i | 1.70300 | + | 1.16109i | ||||
\(395\) | −18.2782 | − | 16.9597i | −0.919677 | − | 0.853335i | ||||
\(396\) | 0.687626 | + | 1.75204i | 0.0345545 | + | 0.0880435i | ||||
\(397\) | 6.56279 | − | 2.02435i | 0.329377 | − | 0.101599i | −0.125656 | − | 0.992074i | \(-0.540104\pi\) |
0.455033 | + | 0.890474i | \(0.349627\pi\) | |||||||
\(398\) | −5.01729 | − | 21.9822i | −0.251494 | − | 1.10187i | ||||
\(399\) | 25.4466 | − | 11.5573i | 1.27393 | − | 0.578591i | ||||
\(400\) | −0.345604 | + | 1.51419i | −0.0172802 | + | 0.0757095i | ||||
\(401\) | 0.00120659 | + | 0.0161008i | 6.02542e−5 | + | 0.000804037i | 0.997234 | − | 0.0743281i | \(-0.0236812\pi\) |
−0.997174 | + | 0.0751321i | \(0.976062\pi\) | |||||||
\(402\) | −26.5315 | − | 8.18389i | −1.32327 | − | 0.408175i | ||||
\(403\) | −0.800047 | + | 10.6759i | −0.0398532 | + | 0.531804i | ||||
\(404\) | −16.1362 | + | 41.1144i | −0.802807 | + | 2.04552i | ||||
\(405\) | 18.4498 | − | 8.88494i | 0.916776 | − | 0.441496i | ||||
\(406\) | 33.3911 | − | 29.6142i | 1.65717 | − | 1.46973i | ||||
\(407\) | −0.714569 | − | 0.344118i | −0.0354199 | − | 0.0170573i | ||||
\(408\) | 8.70039 | − | 8.07278i | 0.430734 | − | 0.399662i | ||||
\(409\) | 25.5647 | − | 3.85326i | 1.26409 | − | 0.190532i | 0.517426 | − | 0.855728i | \(-0.326890\pi\) |
0.746669 | + | 0.665196i | \(0.231652\pi\) | |||||||
\(410\) | −23.7250 | + | 41.0929i | −1.17169 | + | 2.02943i | ||||
\(411\) | −9.74594 | − | 16.8805i | −0.480732 | − | 0.832652i | ||||
\(412\) | −23.7878 | − | 29.8289i | −1.17194 | − | 1.46957i | ||||
\(413\) | −8.20956 | − | 22.3842i | −0.403966 | − | 1.10145i | ||||
\(414\) | 0.580855 | − | 0.728369i | 0.0285474 | − | 0.0357974i | ||||
\(415\) | −19.4982 | − | 2.93888i | −0.957130 | − | 0.144264i | ||||
\(416\) | −6.26111 | + | 4.26875i | −0.306976 | + | 0.209293i | ||||
\(417\) | −13.5444 | + | 9.23444i | −0.663274 | + | 0.452213i | ||||
\(418\) | 24.2555 | + | 3.65592i | 1.18637 | + | 0.178817i | ||||
\(419\) | −2.92130 | + | 3.66319i | −0.142715 | + | 0.178959i | −0.848052 | − | 0.529914i | \(-0.822224\pi\) |
0.705337 | + | 0.708872i | \(0.250796\pi\) | |||||||
\(420\) | −22.7289 | + | 14.7592i | −1.10906 | + | 0.720176i | ||||
\(421\) | 1.98378 | + | 2.48758i | 0.0966834 | + | 0.121237i | 0.827820 | − | 0.560994i | \(-0.189581\pi\) |
−0.731136 | + | 0.682231i | \(0.761010\pi\) | |||||||
\(422\) | 5.24876 | + | 9.09112i | 0.255506 | + | 0.442549i | ||||
\(423\) | −2.31003 | + | 4.00109i | −0.112318 | + | 0.194540i | ||||
\(424\) | 6.54717 | − | 0.986827i | 0.317959 | − | 0.0479245i | ||||
\(425\) | −2.30801 | + | 2.14152i | −0.111955 | + | 0.103879i | ||||
\(426\) | −13.1040 | − | 6.31054i | −0.634889 | − | 0.305747i | ||||
\(427\) | −14.9880 | + | 4.25676i | −0.725320 | + | 0.205999i | ||||
\(428\) | 16.1136 | − | 7.75989i | 0.778879 | − | 0.375088i | ||||
\(429\) | 1.31056 | − | 3.33925i | 0.0632743 | − | 0.161220i | ||||
\(430\) | 0.401297 | − | 5.35494i | 0.0193523 | − | 0.258238i | ||||
\(431\) | −11.5289 | − | 3.55618i | −0.555325 | − | 0.171295i | 0.00437467 | − | 0.999990i | \(-0.498607\pi\) |
−0.559700 | + | 0.828695i | \(0.689084\pi\) | |||||||
\(432\) | −0.746780 | − | 9.96509i | −0.0359295 | − | 0.479446i | ||||
\(433\) | 1.22630 | − | 5.37278i | 0.0589323 | − | 0.258199i | −0.936876 | − | 0.349661i | \(-0.886297\pi\) |
0.995809 | + | 0.0914616i | \(0.0291539\pi\) | |||||||
\(434\) | 54.7945 | + | 27.9216i | 2.63022 | + | 1.34028i | ||||
\(435\) | 6.52510 | + | 28.5883i | 0.312855 | + | 1.37071i | ||||
\(436\) | −2.17139 | + | 0.669787i | −0.103991 | + | 0.0320770i | ||||
\(437\) | −2.55382 | − | 6.50703i | −0.122166 | − | 0.311274i | ||||
\(438\) | −0.145729 | − | 0.135217i | −0.00696320 | − | 0.00646091i | ||||
\(439\) | 24.3276 | + | 16.5863i | 1.16109 | + | 0.791619i | 0.981376 | − | 0.192099i | \(-0.0615294\pi\) |
0.179717 | + | 0.983718i | \(0.442482\pi\) | |||||||
\(440\) | −6.25749 | −0.298314 | ||||||||
\(441\) | −2.43163 | − | 0.479132i | −0.115792 | − | 0.0228158i | ||||
\(442\) | −9.07655 | −0.431727 | ||||||||
\(443\) | −25.9600 | − | 17.6992i | −1.23340 | − | 0.840915i | −0.241804 | − | 0.970325i | \(-0.577739\pi\) |
−0.991591 | + | 0.129411i | \(0.958691\pi\) | |||||||
\(444\) | 1.47534 | + | 1.36891i | 0.0700164 | + | 0.0649658i | ||||
\(445\) | −5.80047 | − | 14.7794i | −0.274969 | − | 0.700609i | ||||
\(446\) | −27.7747 | + | 8.56736i | −1.31517 | + | 0.405676i | ||||
\(447\) | 1.44578 | + | 6.33439i | 0.0683832 | + | 0.299607i | ||||
\(448\) | 6.54170 | + | 31.9552i | 0.309066 | + | 1.50974i | ||||
\(449\) | −1.88058 | + | 8.23937i | −0.0887502 | + | 0.388840i | −0.999721 | − | 0.0236315i | \(-0.992477\pi\) |
0.910971 | + | 0.412471i | \(0.135334\pi\) | |||||||
\(450\) | 0.0432651 | + | 0.577333i | 0.00203954 | + | 0.0272157i | ||||
\(451\) | −19.8492 | − | 6.12267i | −0.934663 | − | 0.288305i | ||||
\(452\) | −2.48347 | + | 33.1396i | −0.116813 | + | 1.55876i | ||||
\(453\) | 4.76927 | − | 12.1519i | 0.224080 | − | 0.570947i | ||||
\(454\) | −55.5091 | + | 26.7318i | −2.60517 | + | 1.25458i | ||||
\(455\) | 5.37182 | + | 0.933585i | 0.251835 | + | 0.0437671i | ||||
\(456\) | −14.7540 | − | 7.10513i | −0.690917 | − | 0.332728i | ||||
\(457\) | 6.35986 | − | 5.90109i | 0.297502 | − | 0.276041i | −0.517271 | − | 0.855822i | \(-0.673052\pi\) |
0.814773 | + | 0.579780i | \(0.196862\pi\) | |||||||
\(458\) | 22.1929 | − | 3.34504i | 1.03701 | − | 0.156303i | ||||
\(459\) | 10.1289 | − | 17.5437i | 0.472776 | − | 0.818872i | ||||
\(460\) | 3.38911 | + | 5.87011i | 0.158018 | + | 0.273695i | ||||
\(461\) | −13.4558 | − | 16.8730i | −0.626698 | − | 0.785855i | 0.362571 | − | 0.931956i | \(-0.381899\pi\) |
−0.989270 | + | 0.146101i | \(0.953327\pi\) | |||||||
\(462\) | −14.7868 | − | 14.3518i | −0.687942 | − | 0.667707i | ||||
\(463\) | −16.1913 | + | 20.3033i | −0.752475 | + | 0.943574i | −0.999678 | − | 0.0253896i | \(-0.991917\pi\) |
0.247202 | + | 0.968964i | \(0.420489\pi\) | |||||||
\(464\) | 15.8435 | + | 2.38802i | 0.735515 | + | 0.110861i | ||||
\(465\) | −33.3845 | + | 22.7611i | −1.54817 | + | 1.05552i | ||||
\(466\) | 0.710732 | − | 0.484569i | 0.0329240 | − | 0.0224472i | ||||
\(467\) | 17.2259 | + | 2.59638i | 0.797118 | + | 0.120146i | 0.534959 | − | 0.844878i | \(-0.320327\pi\) |
0.262160 | + | 0.965025i | \(0.415565\pi\) | |||||||
\(468\) | −0.599116 | + | 0.751267i | −0.0276941 | + | 0.0347273i | ||||
\(469\) | 18.3252 | − | 2.34222i | 0.846179 | − | 0.108154i | ||||
\(470\) | −36.4028 | − | 45.6476i | −1.67913 | − | 2.10557i | ||||
\(471\) | −14.6803 | − | 25.4270i | −0.676432 | − | 1.17162i | ||||
\(472\) | −6.98489 | + | 12.0982i | −0.321506 | + | 0.556864i | ||||
\(473\) | 2.32454 | − | 0.350367i | 0.106882 | − | 0.0161099i | ||||
\(474\) | −35.2679 | + | 32.7238i | −1.61991 | + | 1.50306i | ||||
\(475\) | 3.91387 | + | 1.88482i | 0.179581 | + | 0.0864815i | ||||
\(476\) | −11.5921 | + | 27.6896i | −0.531322 | + | 1.26915i | ||||
\(477\) | −1.36245 | + | 0.656120i | −0.0623821 | + | 0.0300416i | ||||
\(478\) | 2.15573 | − | 5.49272i | 0.0986010 | − | 0.251231i | ||||
\(479\) | 1.29967 | − | 17.3430i | 0.0593836 | − | 0.792420i | −0.885422 | − | 0.464788i | \(-0.846130\pi\) |
0.944806 | − | 0.327632i | \(-0.106250\pi\) | |||||||
\(480\) | −27.3293 | − | 8.42997i | −1.24741 | − | 0.384774i | ||||
\(481\) | −0.0302592 | − | 0.403781i | −0.00137970 | − | 0.0184108i | ||||
\(482\) | −10.3346 | + | 45.2788i | −0.470728 | + | 2.06239i | ||||
\(483\) | −1.43503 | + | 5.69423i | −0.0652962 | + | 0.259096i | ||||
\(484\) | 4.32614 | + | 18.9541i | 0.196643 | + | 0.861548i | ||||
\(485\) | 1.52449 | − | 0.470244i | 0.0692237 | − | 0.0213527i | ||||
\(486\) | −2.90393 | − | 7.39910i | −0.131725 | − | 0.335630i | ||||
\(487\) | 24.5591 | + | 22.7875i | 1.11288 | + | 1.03260i | 0.999236 | + | 0.0390779i | \(0.0124421\pi\) |
0.113642 | + | 0.993522i | \(0.463748\pi\) | |||||||
\(488\) | 7.54290 | + | 5.14266i | 0.341451 | + | 0.232797i | ||||
\(489\) | −43.4219 | −1.96361 | ||||||||
\(490\) | 16.8632 | − | 26.3932i | 0.761800 | − | 1.19232i | ||||
\(491\) | 23.2421 | 1.04890 | 0.524451 | − | 0.851441i | \(-0.324271\pi\) | ||||
0.524451 | + | 0.851441i | \(0.324271\pi\) | |||||||
\(492\) | 43.5519 | + | 29.6932i | 1.96347 | + | 1.33867i | ||||
\(493\) | 23.8099 | + | 22.0924i | 1.07234 | + | 0.994990i | ||||
\(494\) | 4.57524 | + | 11.6575i | 0.205850 | + | 0.524496i | ||||
\(495\) | 1.36566 | − | 0.421250i | 0.0613817 | − | 0.0189338i | ||||
\(496\) | 4.91272 | + | 21.5240i | 0.220588 | + | 0.966458i | ||||
\(497\) | 9.67503 | + | 0.217480i | 0.433985 | + | 0.00975532i | ||||
\(498\) | −8.46623 | + | 37.0930i | −0.379381 | + | 1.66218i | ||||
\(499\) | 3.15983 | + | 42.1650i | 0.141453 | + | 1.88757i | 0.392736 | + | 0.919651i | \(0.371529\pi\) |
−0.251282 | + | 0.967914i | \(0.580852\pi\) | |||||||
\(500\) | −30.7477 | − | 9.48441i | −1.37508 | − | 0.424156i | ||||
\(501\) | −0.727008 | + | 9.70125i | −0.0324803 | + | 0.433420i | ||||
\(502\) | 16.7634 | − | 42.7125i | 0.748188 | − | 1.90635i | ||||
\(503\) | −13.1356 | + | 6.32579i | −0.585690 | + | 0.282053i | −0.703170 | − | 0.711022i | \(-0.748233\pi\) |
0.117480 | + | 0.993075i | \(0.462518\pi\) | |||||||
\(504\) | 0.697633 | + | 1.27360i | 0.0310751 | + | 0.0567309i | ||||
\(505\) | 30.2160 | + | 14.5513i | 1.34459 | + | 0.647523i | ||||
\(506\) | −3.77811 | + | 3.50557i | −0.167957 | + | 0.155842i | ||||
\(507\) | 1.81095 | − | 0.272957i | 0.0804272 | − | 0.0121225i | ||||
\(508\) | 18.7902 | − | 32.5457i | 0.833682 | − | 1.44398i | ||||
\(509\) | 6.46543 | + | 11.1985i | 0.286575 | + | 0.496363i | 0.972990 | − | 0.230848i | \(-0.0741499\pi\) |
−0.686415 | + | 0.727210i | \(0.740817\pi\) | |||||||
\(510\) | −21.3584 | − | 26.7826i | −0.945766 | − | 1.18595i | ||||
\(511\) | 0.125491 | + | 0.0418197i | 0.00555140 | + | 0.00184999i | ||||
\(512\) | −13.7297 | + | 17.2165i | −0.606774 | + | 0.760871i | ||||
\(513\) | −27.6381 | − | 4.16577i | −1.22025 | − | 0.183923i | ||||
\(514\) | −52.6535 | + | 35.8985i | −2.32245 | + | 1.58342i | ||||
\(515\) | −23.9362 | + | 16.3194i | −1.05475 | + | 0.719118i | ||||
\(516\) | −5.89873 | − | 0.889091i | −0.259677 | − | 0.0391400i | ||||
\(517\) | 15.9360 | − | 19.9831i | 0.700863 | − | 0.878854i | ||||
\(518\) | −2.20667 | − | 0.735370i | −0.0969556 | − | 0.0323103i | ||||
\(519\) | −0.739888 | − | 0.927790i | −0.0324775 | − | 0.0407254i | ||||
\(520\) | −1.59734 | − | 2.76667i | −0.0700480 | − | 0.121327i | ||||
\(521\) | 10.6379 | − | 18.4254i | 0.466055 | − | 0.807231i | −0.533193 | − | 0.845993i | \(-0.679008\pi\) |
0.999248 | + | 0.0387625i | \(0.0123416\pi\) | |||||||
\(522\) | 5.90589 | − | 0.890170i | 0.258494 | − | 0.0389617i | ||||
\(523\) | 6.48945 | − | 6.02133i | 0.283764 | − | 0.263294i | −0.525429 | − | 0.850837i | \(-0.676095\pi\) |
0.809193 | + | 0.587543i | \(0.199905\pi\) | |||||||
\(524\) | −16.0916 | − | 7.74928i | −0.702963 | − | 0.338529i | ||||
\(525\) | −1.75317 | − | 3.20060i | −0.0765146 | − | 0.139686i | ||||
\(526\) | −50.4549 | + | 24.2978i | −2.19994 | + | 1.05943i | ||||
\(527\) | −16.3510 | + | 41.6616i | −0.712260 | + | 1.81481i | ||||
\(528\) | 0.552821 | − | 7.37689i | 0.0240585 | − | 0.321038i | ||||
\(529\) | −20.5747 | − | 6.34645i | −0.894552 | − | 0.275933i | ||||
\(530\) | −1.42811 | − | 19.0568i | −0.0620332 | − | 0.827776i | ||||
\(531\) | 0.709968 | − | 3.11057i | 0.0308100 | − | 0.134987i | ||||
\(532\) | 41.4066 | + | 0.930758i | 1.79520 | + | 0.0403535i | ||||
\(533\) | −2.35981 | − | 10.3390i | −0.102215 | − | 0.447833i | ||||
\(534\) | −29.2735 | + | 9.02968i | −1.26679 | + | 0.390752i | ||||
\(535\) | −4.96140 | − | 12.6415i | −0.214500 | − | 0.546538i | ||||
\(536\) | −7.93499 | − | 7.36259i | −0.342739 | − | 0.318015i | ||||
\(537\) | −38.5672 | − | 26.2947i | −1.66430 | − | 1.13470i | ||||
\(538\) | −22.7997 | −0.982966 | ||||||||
\(539\) | 12.9071 | + | 4.62605i | 0.555947 | + | 0.199258i | ||||
\(540\) | 27.1025 | 1.16631 | ||||||||
\(541\) | 5.62518 | + | 3.83518i | 0.241845 | + | 0.164887i | 0.678177 | − | 0.734899i | \(-0.262770\pi\) |
−0.436332 | + | 0.899786i | \(0.643723\pi\) | |||||||
\(542\) | 41.5647 | + | 38.5664i | 1.78535 | + | 1.65657i | ||||
\(543\) | 7.81668 | + | 19.9166i | 0.335446 | + | 0.854702i | ||||
\(544\) | −30.2716 | + | 9.33755i | −1.29788 | + | 0.400344i | ||||
\(545\) | 0.383946 | + | 1.68218i | 0.0164464 | + | 0.0720565i | ||||
\(546\) | 2.57089 | − | 10.2014i | 0.110024 | − | 0.436578i | ||||
\(547\) | 7.63449 | − | 33.4489i | 0.326427 | − | 1.43017i | −0.499461 | − | 0.866337i | \(-0.666469\pi\) |
0.825888 | − | 0.563834i | \(-0.190674\pi\) | |||||||
\(548\) | −2.15861 | − | 28.8046i | −0.0922112 | − | 1.23047i | ||||
\(549\) | −1.99239 | − | 0.614571i | −0.0850332 | − | 0.0262293i | ||||
\(550\) | 0.239353 | − | 3.19395i | 0.0102061 | − | 0.136190i | ||||
\(551\) | 16.3725 | − | 41.7165i | 0.697493 | − | 1.77718i | ||||
\(552\) | 3.09999 | − | 1.49288i | 0.131944 | − | 0.0635410i | ||||
\(553\) | 12.3620 | − | 29.5289i | 0.525688 | − | 1.25570i | ||||
\(554\) | −2.82314 | − | 1.35955i | −0.119944 | − | 0.0577618i | ||||
\(555\) | 1.12025 | − | 1.03944i | 0.0475520 | − | 0.0441218i | ||||
\(556\) | −24.0216 | + | 3.62068i | −1.01874 | + | 0.153551i | ||||
\(557\) | 5.99680 | − | 10.3868i | 0.254092 | − | 0.440101i | −0.710556 | − | 0.703640i | \(-0.751557\pi\) |
0.964649 | + | 0.263539i | \(0.0848899\pi\) | |||||||
\(558\) | 4.11487 | + | 7.12716i | 0.174196 | + | 0.301717i | ||||
\(559\) | 0.748292 | + | 0.938328i | 0.0316494 | + | 0.0396871i | ||||
\(560\) | 11.1531 | − | 1.42552i | 0.471304 | − | 0.0602394i | ||||
\(561\) | 9.35003 | − | 11.7246i | 0.394759 | − | 0.495012i | ||||
\(562\) | −6.68988 | − | 1.00834i | −0.282196 | − | 0.0425341i | ||||
\(563\) | 15.5954 | − | 10.6328i | 0.657269 | − | 0.448118i | −0.188209 | − | 0.982129i | \(-0.560268\pi\) |
0.845478 | + | 0.534011i | \(0.179316\pi\) | |||||||
\(564\) | −53.5892 | + | 36.5365i | −2.25651 | + | 1.53846i | ||||
\(565\) | 24.9522 | + | 3.76095i | 1.04975 | + | 0.158224i | ||||
\(566\) | −2.98783 | + | 3.74661i | −0.125588 | + | 0.157482i | ||||
\(567\) | 18.8655 | + | 18.3106i | 0.792274 | + | 0.768971i | ||||
\(568\) | −3.53538 | − | 4.43322i | −0.148341 | − | 0.186014i | ||||
\(569\) | −1.18125 | − | 2.04599i | −0.0495206 | − | 0.0857722i | 0.840203 | − | 0.542273i | \(-0.182436\pi\) |
−0.889723 | + | 0.456500i | \(0.849103\pi\) | |||||||
\(570\) | −23.6322 | + | 40.9322i | −0.989844 | + | 1.71446i | ||||
\(571\) | −12.9009 | + | 1.94449i | −0.539885 | + | 0.0813746i | −0.413324 | − | 0.910584i | \(-0.635632\pi\) |
−0.126561 | + | 0.991959i | \(0.540394\pi\) | |||||||
\(572\) | 3.89688 | − | 3.61578i | 0.162937 | − | 0.151183i | ||||
\(573\) | −3.83342 | − | 1.84608i | −0.160143 | − | 0.0771209i | ||||
\(574\) | −60.0190 | − | 10.4309i | −2.50515 | − | 0.435377i | ||||
\(575\) | −0.822352 | + | 0.396024i | −0.0342945 | + | 0.0165153i | ||||
\(576\) | −1.59469 | + | 4.06321i | −0.0664455 | + | 0.169300i | ||||
\(577\) | −1.26183 | + | 16.8380i | −0.0525308 | + | 0.700975i | 0.907316 | + | 0.420450i | \(0.138128\pi\) |
−0.959847 | + | 0.280525i | \(0.909491\pi\) | |||||||
\(578\) | −0.988360 | − | 0.304869i | −0.0411104 | − | 0.0126809i | ||||
\(579\) | −0.357392 | − | 4.76906i | −0.0148527 | − | 0.198195i | ||||
\(580\) | −9.66968 | + | 42.3656i | −0.401511 | + | 1.75914i | ||||
\(581\) | −5.07718 | − | 24.8012i | −0.210637 | − | 1.02893i | ||||
\(582\) | −0.684981 | − | 3.00110i | −0.0283934 | − | 0.124400i | ||||
\(583\) | 7.99419 | − | 2.46588i | 0.331086 | − | 0.102126i | ||||
\(584\) | −0.0283154 | − | 0.0721465i | −0.00117170 | − | 0.00298544i | ||||
\(585\) | 0.534860 | + | 0.496277i | 0.0221137 | + | 0.0205185i | ||||
\(586\) | 45.6518 | + | 31.1248i | 1.88586 | + | 1.28576i | ||||
\(587\) | 21.2659 | 0.877739 | 0.438869 | − | 0.898551i | \(-0.355379\pi\) | ||||
0.438869 | + | 0.898551i | \(0.355379\pi\) | |||||||
\(588\) | −27.8377 | − | 20.8716i | −1.14801 | − | 0.860730i | ||||
\(589\) | 61.7504 | 2.54438 | ||||||||
\(590\) | 33.3143 | + | 22.7133i | 1.37153 | + | 0.935092i | ||||
\(591\) | −25.2978 | − | 23.4729i | −1.04061 | − | 0.965548i | ||||
\(592\) | −0.305064 | − | 0.777292i | −0.0125381 | − | 0.0319465i | ||||
\(593\) | 12.5824 | − | 3.88115i | 0.516696 | − | 0.159380i | −0.0254302 | − | 0.999677i | \(-0.508096\pi\) |
0.542127 | + | 0.840297i | \(0.317619\pi\) | |||||||
\(594\) | 4.58569 | + | 20.0912i | 0.188153 | + | 0.824352i | ||||
\(595\) | 20.3087 | + | 10.3487i | 0.832575 | + | 0.424255i | ||||
\(596\) | −2.14254 | + | 9.38707i | −0.0877617 | + | 0.384509i | ||||
\(597\) | 1.42129 | + | 18.9659i | 0.0581697 | + | 0.776221i | ||||
\(598\) | −2.51438 | − | 0.775583i | −0.102821 | − | 0.0317159i | ||||
\(599\) | −0.276807 | + | 3.69374i | −0.0113100 | + | 0.150922i | 0.988690 | + | 0.149977i | \(0.0479199\pi\) |
−1.00000 | 0.000945177i | \(0.999699\pi\) | ||||||||
\(600\) | −0.781184 | + | 1.99042i | −0.0318917 | + | 0.0812587i | ||||
\(601\) | −20.3785 | + | 9.81375i | −0.831255 | + | 0.400311i | −0.800586 | − | 0.599218i | \(-0.795478\pi\) |
−0.0306690 | + | 0.999530i | \(0.509764\pi\) | |||||||
\(602\) | 6.63194 | − | 1.88355i | 0.270298 | − | 0.0767676i | ||||
\(603\) | 2.22741 | + | 1.07266i | 0.0907070 | + | 0.0436822i | ||||
\(604\) | 14.1812 | − | 13.1582i | 0.577025 | − | 0.535401i | ||||
\(605\) | 14.5974 | − | 2.20021i | 0.593469 | − | 0.0894511i | ||||
\(606\) | 32.3551 | − | 56.0407i | 1.31434 | − | 2.27650i | ||||
\(607\) | 1.45824 | + | 2.52574i | 0.0591879 | + | 0.102517i | 0.894101 | − | 0.447865i | \(-0.147816\pi\) |
−0.834913 | + | 0.550382i | \(0.814482\pi\) | |||||||
\(608\) | 27.2518 | + | 34.1727i | 1.10521 | + | 1.38588i | ||||
\(609\) | −31.5742 | + | 20.5030i | −1.27945 | + | 0.830823i | ||||
\(610\) | 16.4285 | − | 20.6007i | 0.665170 | − | 0.834097i | ||||
\(611\) | 12.9032 | + | 1.94485i | 0.522009 | + | 0.0786801i | ||||
\(612\) | −3.31904 | + | 2.26288i | −0.134164 | + | 0.0914717i | ||||
\(613\) | −9.79850 | + | 6.68051i | −0.395758 | + | 0.269823i | −0.744805 | − | 0.667282i | \(-0.767458\pi\) |
0.349047 | + | 0.937105i | \(0.386505\pi\) | |||||||
\(614\) | 36.4511 | + | 5.49411i | 1.47105 | + | 0.221724i | ||||
\(615\) | 24.9549 | − | 31.2924i | 1.00628 | − | 1.26183i | ||||
\(616\) | −2.76623 | − | 7.54242i | −0.111455 | − | 0.303893i | ||||
\(617\) | −23.9963 | − | 30.0905i | −0.966056 | − | 1.21140i | −0.977387 | − | 0.211460i | \(-0.932178\pi\) |
0.0113306 | − | 0.999936i | \(-0.496393\pi\) | |||||||
\(618\) | 27.9489 | + | 48.4089i | 1.12427 | + | 1.94729i | ||||
\(619\) | −2.28285 | + | 3.95402i | −0.0917556 | + | 0.158925i | −0.908250 | − | 0.418428i | \(-0.862581\pi\) |
0.816494 | + | 0.577353i | \(0.195915\pi\) | |||||||
\(620\) | −59.2087 | + | 8.92428i | −2.37788 | + | 0.358408i | ||||
\(621\) | 4.30499 | − | 3.99445i | 0.172753 | − | 0.160292i | ||||
\(622\) | 56.6494 | + | 27.2809i | 2.27143 | + | 1.09386i | ||||
\(623\) | 15.2500 | − | 13.5250i | 0.610978 | − | 0.541870i | ||||
\(624\) | 3.40272 | − | 1.63866i | 0.136218 | − | 0.0655991i | ||||
\(625\) | −7.55053 | + | 19.2384i | −0.302021 | + | 0.769537i | ||||
\(626\) | 2.17152 | − | 28.9769i | 0.0867912 | − | 1.15815i | ||||
\(627\) | −19.7716 | − | 6.09873i | −0.789602 | − | 0.243560i | ||||
\(628\) | −3.25151 | − | 43.3884i | −0.129749 | − | 1.73139i | ||||
\(629\) | 0.376668 | − | 1.65029i | 0.0150187 | − | 0.0658013i | ||||
\(630\) | 3.81615 | − | 1.73322i | 0.152039 | − | 0.0690530i | ||||
\(631\) | 3.41378 | + | 14.9567i | 0.135900 | + | 0.595419i | 0.996311 | + | 0.0858171i | \(0.0273501\pi\) |
−0.860410 | + | 0.509602i | \(0.829793\pi\) | |||||||
\(632\) | −17.9235 | + | 5.52866i | −0.712957 | + | 0.219918i | ||||
\(633\) | −3.23501 | − | 8.24267i | −0.128580 | − | 0.327617i | ||||
\(634\) | 4.12544 | + | 3.82785i | 0.163842 | + | 0.152023i | ||||
\(635\) | −23.5772 | − | 16.0747i | −0.935632 | − | 0.637903i | ||||
\(636\) | −21.2292 | −0.841792 | ||||||||
\(637\) | 1.24942 | + | 6.88759i | 0.0495038 | + | 0.272896i | ||||
\(638\) | −33.0419 | −1.30814 | ||||||||
\(639\) | 1.07002 | + | 0.729524i | 0.0423292 | + | 0.0288595i | ||||
\(640\) | −17.5410 | − | 16.2757i | −0.693371 | − | 0.643354i | ||||
\(641\) | −4.07464 | − | 10.3820i | −0.160939 | − | 0.410065i | 0.827544 | − | 0.561402i | \(-0.189738\pi\) |
−0.988482 | + | 0.151336i | \(0.951642\pi\) | |||||||
\(642\) | −25.0389 | + | 7.72349i | −0.988208 | + | 0.304822i | ||||
\(643\) | 8.45017 | + | 37.0226i | 0.333242 | + | 1.46003i | 0.812812 | + | 0.582526i | \(0.197936\pi\) |
−0.479570 | + | 0.877504i | \(0.659207\pi\) | |||||||
\(644\) | −5.57728 | + | 6.68003i | −0.219776 | + | 0.263230i | ||||
\(645\) | −1.00793 | + | 4.41604i | −0.0396873 | + | 0.173881i | ||||
\(646\) | 3.91234 | + | 52.2065i | 0.153929 | + | 2.05404i | ||||
\(647\) | 31.6552 | + | 9.76432i | 1.24449 | + | 0.383875i | 0.845944 | − | 0.533272i | \(-0.179038\pi\) |
0.398549 | + | 0.917147i | \(0.369514\pi\) | |||||||
\(648\) | 1.15116 | − | 15.3612i | 0.0452218 | − | 0.603444i | ||||
\(649\) | −6.44863 | + | 16.4308i | −0.253131 | + | 0.644967i | ||||
\(650\) | 1.47327 | − | 0.709487i | 0.0577862 | − | 0.0278284i | ||||
\(651\) | −42.1932 | − | 30.1778i | −1.65368 | − | 1.18276i | ||||
\(652\) | −57.9754 | − | 27.9195i | −2.27049 | − | 1.09341i | ||||
\(653\) | −18.3249 | + | 17.0030i | −0.717110 | + | 0.665381i | −0.951810 | − | 0.306687i | \(-0.900780\pi\) |
0.234701 | + | 0.972068i | \(0.424589\pi\) | |||||||
\(654\) | 3.29205 | − | 0.496197i | 0.128730 | − | 0.0194029i | ||||
\(655\) | −6.78082 | + | 11.7447i | −0.264949 | + | 0.458904i | ||||
\(656\) | −10.9347 | − | 18.9395i | −0.426930 | − | 0.739464i | ||||
\(657\) | 0.0110365 | + | 0.0138394i | 0.000430576 | + | 0.000539925i | ||||
\(658\) | 38.9286 | − | 64.0572i | 1.51759 | − | 2.49721i | ||||
\(659\) | 12.2377 | − | 15.3455i | 0.476711 | − | 0.597777i | −0.484089 | − | 0.875019i | \(-0.660849\pi\) |
0.960800 | + | 0.277242i | \(0.0894203\pi\) | |||||||
\(660\) | 19.8392 | + | 2.99027i | 0.772239 | + | 0.116396i | ||||
\(661\) | 6.41406 | − | 4.37303i | 0.249478 | − | 0.170091i | −0.432124 | − | 0.901814i | \(-0.642236\pi\) |
0.681602 | + | 0.731723i | \(0.261283\pi\) | |||||||
\(662\) | 52.9923 | − | 36.1295i | 2.05960 | − | 1.40421i | ||||
\(663\) | 7.57065 | + | 1.14109i | 0.294020 | + | 0.0443163i | ||||
\(664\) | −9.24829 | + | 11.5970i | −0.358903 | + | 0.450051i | ||||
\(665\) | 3.05434 | − | 31.3001i | 0.118442 | − | 1.21376i | ||||
\(666\) | −0.194070 | − | 0.243356i | −0.00752004 | − | 0.00942983i | ||||
\(667\) | 4.70803 | + | 8.15455i | 0.182296 | + | 0.315745i | ||||
\(668\) | −7.20840 | + | 12.4853i | −0.278901 | + | 0.483071i | ||||
\(669\) | 24.2436 | − | 3.65414i | 0.937313 | − | 0.141277i | ||||
\(670\) | −22.9024 | + | 21.2504i | −0.884798 | + | 0.820973i | ||||
\(671\) | 10.3925 | + | 5.00479i | 0.401200 | + | 0.193208i | ||||
\(672\) | −1.92040 | − | 36.6678i | −0.0740810 | − | 1.41449i | ||||
\(673\) | −28.4937 | + | 13.7219i | −1.09835 | + | 0.528939i | −0.893140 | − | 0.449778i | \(-0.851503\pi\) |
−0.205213 | + | 0.978717i | \(0.565789\pi\) | |||||||
\(674\) | 9.98000 | − | 25.4286i | 0.384415 | − | 0.979474i | ||||
\(675\) | −0.272733 | + | 3.63937i | −0.0104975 | + | 0.140079i | ||||
\(676\) | 2.59342 | + | 0.799966i | 0.0997471 | + | 0.0307679i | ||||
\(677\) | −1.30273 | − | 17.3837i | −0.0500680 | − | 0.668111i | −0.964620 | − | 0.263643i | \(-0.915076\pi\) |
0.914552 | − | 0.404468i | \(-0.132543\pi\) | |||||||
\(678\) | 10.8344 | − | 47.4686i | 0.416092 | − | 1.82302i | ||||
\(679\) | 1.24073 | + | 1.62966i | 0.0476150 | + | 0.0625405i | ||||
\(680\) | −2.97183 | − | 13.0204i | −0.113964 | − | 0.499311i | ||||
\(681\) | 49.6602 | − | 15.3181i | 1.90298 | − | 0.586993i | ||||
\(682\) | −16.6336 | − | 42.3817i | −0.636933 | − | 1.62288i | ||||
\(683\) | 26.4450 | + | 24.5374i | 1.01189 | + | 0.938896i | 0.998137 | − | 0.0610095i | \(-0.0194320\pi\) |
0.0137520 | + | 0.999905i | \(0.495622\pi\) | |||||||
\(684\) | 4.57938 | + | 3.12217i | 0.175097 | + | 0.119379i | ||||
\(685\) | −21.9332 | −0.838025 | ||||||||
\(686\) | 39.2675 | + | 8.65834i | 1.49924 | + | 0.330577i | ||||
\(687\) | −18.9314 | −0.722277 | ||||||||
\(688\) | 2.04493 | + | 1.39421i | 0.0779623 | + | 0.0531538i | ||||
\(689\) | 3.13093 | + | 2.90508i | 0.119279 | + | 0.110675i | ||||
\(690\) | −3.62814 | − | 9.24435i | −0.138121 | − | 0.351927i | ||||
\(691\) | −15.5646 | + | 4.80105i | −0.592107 | + | 0.182641i | −0.576305 | − | 0.817234i | \(-0.695506\pi\) |
−0.0158012 | + | 0.999875i | \(0.505030\pi\) | |||||||
\(692\) | −0.391320 | − | 1.71448i | −0.0148758 | − | 0.0651749i | ||||
\(693\) | 1.11146 | + | 1.45987i | 0.0422210 | + | 0.0554557i | ||||
\(694\) | −1.41521 | + | 6.20044i | −0.0537206 | + | 0.235366i | ||||
\(695\) | 1.37848 | + | 18.3945i | 0.0522886 | + | 0.697743i | ||||
\(696\) | 21.0785 | + | 6.50185i | 0.798978 | + | 0.246452i | ||||
\(697\) | 3.31305 | − | 44.2096i | 0.125491 | − | 1.67456i | ||||
\(698\) | −11.7907 | + | 30.0421i | −0.446283 | + | 1.13711i | ||||
\(699\) | −0.653733 | + | 0.314821i | −0.0247265 | + | 0.0119076i | ||||
\(700\) | −0.282844 | − | 5.40058i | −0.0106905 | − | 0.204123i | ||||
\(701\) | −40.9822 | − | 19.7360i | −1.54788 | − | 0.745419i | −0.551806 | − | 0.833972i | \(-0.686061\pi\) |
−0.996071 | + | 0.0885538i | \(0.971775\pi\) | |||||||
\(702\) | −7.71250 | + | 7.15616i | −0.291090 | + | 0.270092i | ||||
\(703\) | −2.30943 | + | 0.348090i | −0.0871017 | + | 0.0131285i | ||||
\(704\) | 12.0740 | − | 20.9127i | 0.455055 | − | 0.788178i | ||||
\(705\) | 24.6244 | + | 42.6507i | 0.927408 | + | 1.60632i | ||||
\(706\) | −1.88904 | − | 2.36879i | −0.0710951 | − | 0.0891504i | ||||
\(707\) | −4.18173 | + | 42.8533i | −0.157270 | + | 1.61166i | ||||
\(708\) | 27.9268 | − | 35.0191i | 1.04955 | − | 1.31610i | ||||
\(709\) | −12.9752 | − | 1.95569i | −0.487292 | − | 0.0734475i | −0.0991989 | − | 0.995068i | \(-0.531628\pi\) |
−0.388093 | + | 0.921620i | \(0.626866\pi\) | |||||||
\(710\) | −13.5222 | + | 9.21928i | −0.507479 | + | 0.345993i | ||||
\(711\) | 3.53950 | − | 2.41319i | 0.132742 | − | 0.0905017i | ||||
\(712\) | −11.8099 | − | 1.78006i | −0.442595 | − | 0.0667104i | ||||
\(713\) | −8.08949 | + | 10.1439i | −0.302954 | + | 0.379892i | ||||
\(714\) | 22.8404 | − | 37.5840i | 0.854779 | − | 1.40654i | ||||
\(715\) | −2.51673 | − | 3.15587i | −0.0941202 | − | 0.118023i | ||||
\(716\) | −34.5865 | − | 59.9057i | −1.29256 | − | 2.23878i | ||||
\(717\) | −2.48861 | + | 4.31040i | −0.0929389 | + | 0.160975i | ||||
\(718\) | −3.25139 | + | 0.490068i | −0.121341 | + | 0.0182892i | ||||
\(719\) | −0.789396 | + | 0.732452i | −0.0294395 | + | 0.0273159i | −0.694755 | − | 0.719246i | \(-0.744487\pi\) |
0.665316 | + | 0.746562i | \(0.268297\pi\) | |||||||
\(720\) | 1.35565 | + | 0.652845i | 0.0505220 | + | 0.0243301i | ||||
\(721\) | −30.2519 | − | 21.6370i | −1.12664 | − | 0.805804i | ||||
\(722\) | 27.9126 | − | 13.4420i | 1.03880 | − | 0.500259i | ||||
\(723\) | 14.3124 | − | 36.4673i | 0.532282 | − | 1.35623i | ||||
\(724\) | −2.36943 | + | 31.6179i | −0.0880592 | + | 1.17507i | ||||
\(725\) | −5.59162 | − | 1.72479i | −0.207667 | − | 0.0640569i | ||||
\(726\) | −2.12861 | − | 28.4043i | −0.0790000 | − | 1.05418i | ||||
\(727\) | 9.78794 | − | 42.8838i | 0.363015 | − | 1.59047i | −0.382482 | − | 0.923963i | \(-0.624931\pi\) |
0.745497 | − | 0.666509i | \(-0.232212\pi\) | |||||||
\(728\) | 2.62866 | − | 3.14840i | 0.0974245 | − | 0.116687i | ||||
\(729\) | −5.14151 | − | 22.5264i | −0.190426 | − | 0.834313i | ||||
\(730\) | −0.213759 | + | 0.0659358i | −0.00791157 | + | 0.00244039i | ||||
\(731\) | 1.83301 | + | 4.67044i | 0.0677965 | + | 0.172743i | ||||
\(732\) | −21.4570 | − | 19.9092i | −0.793074 | − | 0.735865i | ||||
\(733\) | 27.8975 | + | 19.0202i | 1.03042 | + | 0.702527i | 0.955599 | − | 0.294671i | \(-0.0952099\pi\) |
0.0748183 | + | 0.997197i | \(0.476162\pi\) | |||||||
\(734\) | 1.92892 | 0.0711979 | ||||||||
\(735\) | −17.3835 | + | 19.8942i | −0.641200 | + | 0.733809i | ||||
\(736\) | −9.18369 | −0.338515 | ||||||||
\(737\) | −11.3005 | − | 7.70453i | −0.416258 | − | 0.283800i | ||||
\(738\) | −5.97596 | − | 5.54488i | −0.219978 | − | 0.204110i | ||||
\(739\) | −5.17424 | − | 13.1837i | −0.190337 | − | 0.484972i | 0.803567 | − | 0.595214i | \(-0.202933\pi\) |
−0.993905 | + | 0.110242i | \(0.964837\pi\) | |||||||
\(740\) | 2.16406 | − | 0.667524i | 0.0795524 | − | 0.0245387i | ||||
\(741\) | −2.35059 | − | 10.2986i | −0.0863510 | − | 0.378328i | ||||
\(742\) | 22.3387 | − | 10.1458i | 0.820080 | − | 0.372464i | ||||
\(743\) | 0.448761 | − | 1.96615i | 0.0164634 | − | 0.0721311i | −0.966029 | − | 0.258434i | \(-0.916793\pi\) |
0.982492 | + | 0.186303i | \(0.0596506\pi\) | |||||||
\(744\) | 2.27140 | + | 30.3097i | 0.0832736 | + | 1.11121i | ||||
\(745\) | 6.98627 | + | 2.15498i | 0.255957 | + | 0.0789523i | ||||
\(746\) | −1.65259 | + | 22.0522i | −0.0605055 | + | 0.807390i | ||||
\(747\) | 1.23768 | − | 3.15356i | 0.0452844 | − | 0.115383i | ||||
\(748\) | 20.0225 | − | 9.64232i | 0.732095 | − | 0.352558i | ||||
\(749\) | 13.0440 | − | 11.5686i | 0.476618 | − | 0.422707i | ||||
\(750\) | 42.4745 | + | 20.4547i | 1.55095 | + | 0.746899i | ||||
\(751\) | −32.8740 | + | 30.5026i | −1.19959 | + | 1.11305i | −0.208754 | + | 0.977968i | \(0.566941\pi\) |
−0.990834 | + | 0.135087i | \(0.956869\pi\) | |||||||
\(752\) | 26.6091 | − | 4.01067i | 0.970333 | − | 0.146254i | ||||
\(753\) | −19.3519 | + | 33.5185i | −0.705224 | + | 1.22148i | ||||
\(754\) | −8.43455 | − | 14.6091i | −0.307168 | − | 0.532031i | ||||
\(755\) | −9.15866 | − | 11.4846i | −0.333318 | − | 0.417967i | ||||
\(756\) | 11.9812 | + | 32.6678i | 0.435751 | + | 1.18812i | ||||
\(757\) | 19.5100 | − | 24.4648i | 0.709103 | − | 0.889186i | −0.288564 | − | 0.957461i | \(-0.593178\pi\) |
0.997667 | + | 0.0682741i | \(0.0217492\pi\) | |||||||
\(758\) | −44.2725 | − | 6.67301i | −1.60805 | − | 0.242375i | ||||
\(759\) | 3.59199 | − | 2.44898i | 0.130381 | − | 0.0888923i | ||||
\(760\) | −15.2248 | + | 10.3801i | −0.552263 | + | 0.376527i | ||||
\(761\) | −15.4558 | − | 2.32959i | −0.560273 | − | 0.0844475i | −0.137200 | − | 0.990543i | \(-0.543810\pi\) |
−0.423072 | + | 0.906096i | \(0.639048\pi\) | |||||||
\(762\) | −34.3291 | + | 43.0473i | −1.24361 | + | 1.55944i | ||||
\(763\) | −1.85787 | + | 1.20642i | −0.0672594 | + | 0.0436754i | ||||
\(764\) | −3.93125 | − | 4.92963i | −0.142228 | − | 0.178348i | ||||
\(765\) | 1.52511 | + | 2.64157i | 0.0551405 | + | 0.0955061i | ||||
\(766\) | 2.19534 | − | 3.80244i | 0.0793208 | − | 0.137388i | ||||
\(767\) | −8.91084 | + | 1.34309i | −0.321752 | + | 0.0484963i | ||||
\(768\) | −0.743325 | + | 0.689705i | −0.0268224 | + | 0.0248876i | ||||
\(769\) | 43.2001 | + | 20.8041i | 1.55784 | + | 0.750214i | 0.996977 | − | 0.0776974i | \(-0.0247568\pi\) |
0.560859 | + | 0.827912i | \(0.310471\pi\) | |||||||
\(770\) | −22.3052 | + | 6.33492i | −0.803822 | + | 0.228295i | ||||
\(771\) | 48.4308 | − | 23.3230i | 1.74419 | − | 0.839959i | ||||
\(772\) | 2.58924 | − | 6.59727i | 0.0931887 | − | 0.237441i | ||||
\(773\) | 0.870644 | − | 11.6179i | 0.0313149 | − | 0.417868i | −0.959413 | − | 0.282005i | \(-0.909000\pi\) |
0.990728 | − | 0.135863i | \(-0.0433806\pi\) | |||||||
\(774\) | 0.881600 | + | 0.271938i | 0.0316885 | + | 0.00977460i | ||||
\(775\) | −0.602548 | − | 8.04045i | −0.0216442 | − | 0.288821i | ||||
\(776\) | 0.267050 | − | 1.17002i | 0.00958652 | − | 0.0420013i | ||||
\(777\) | 1.74811 | + | 0.890784i | 0.0627132 | + | 0.0319567i | ||||
\(778\) | 5.76981 | + | 25.2792i | 0.206858 | + | 0.906303i | ||||
\(779\) | −58.4509 | + | 18.0297i | −2.09422 | + | 0.645981i | ||||
\(780\) | 3.74220 | + | 9.53498i | 0.133992 | + | 0.341407i | ||||
\(781\) | −5.25195 | − | 4.87310i | −0.187930 | − | 0.174373i | ||||
\(782\) | −9.08862 | − | 6.19652i | −0.325008 | − | 0.221587i | ||||
\(783\) | 37.6498 | 1.34550 | ||||||||
\(784\) | 6.64868 | + | 12.8131i | 0.237453 | + | 0.457612i | ||||
\(785\) | −33.0380 | −1.17918 | ||||||||
\(786\) | 21.6204 | + | 14.7405i | 0.771174 | + | 0.525778i | ||||
\(787\) | −8.76008 | − | 8.12817i | −0.312263 | − | 0.289738i | 0.508434 | − | 0.861101i | \(-0.330224\pi\) |
−0.820698 | + | 0.571363i | \(0.806415\pi\) | |||||||
\(788\) | −18.6841 | − | 47.6062i | −0.665592 | − | 1.69590i | ||||
\(789\) | 45.1385 | − | 13.9234i | 1.60697 | − | 0.495686i | ||||
\(790\) | 12.0466 | + | 52.7796i | 0.428599 | + | 1.87781i | ||||
\(791\) | 6.49736 | + | 31.7386i | 0.231020 | + | 1.12850i | ||||
\(792\) | 0.239226 | − | 1.04812i | 0.00850052 | − | 0.0372432i | ||||
\(793\) | 0.440083 | + | 5.87251i | 0.0156278 | + | 0.208539i | ||||
\(794\) | −14.2490 | − | 4.39523i | −0.505677 | − | 0.155981i | ||||
\(795\) | −1.20463 | + | 16.0746i | −0.0427237 | + | 0.570109i | ||||
\(796\) | −10.2970 | + | 26.2364i | −0.364968 | + | 0.929925i | ||||
\(797\) | 25.8878 | − | 12.4669i | 0.916994 | − | 0.441601i | 0.0849968 | − | 0.996381i | \(-0.472912\pi\) |
0.831997 | + | 0.554780i | \(0.187198\pi\) | |||||||
\(798\) | −59.7844 | − | 10.3901i | −2.11634 | − | 0.367806i | ||||
\(799\) | 49.1487 | + | 23.6688i | 1.73876 | + | 0.837340i | ||||
\(800\) | 4.18366 | − | 3.88187i | 0.147915 | − | 0.137245i | ||||
\(801\) | 2.69727 | − | 0.406548i | 0.0953033 | − | 0.0143647i | ||||
\(802\) | 0.0175279 | − | 0.0303592i | 0.000618930 | − | 0.00107202i | ||||
\(803\) | −0.0489637 | − | 0.0848076i | −0.00172789 | − | 0.00299279i | ||||
\(804\) | 21.6393 | + | 27.1348i | 0.763158 | + | 0.956970i | ||||
\(805\) | 4.74161 | + | 4.60214i | 0.167120 | + | 0.162204i | ||||
\(806\) | 14.4925 | − | 18.1731i | 0.510477 | − | 0.640118i | ||||
\(807\) | 19.0170 | + | 2.86635i | 0.669430 | + | 0.100900i | ||||
\(808\) | 20.8445 | − | 14.2116i | 0.733308 | − | 0.499961i | ||||
\(809\) | −23.2165 | + | 15.8287i | −0.816248 | + | 0.556508i | −0.897924 | − | 0.440151i | \(-0.854925\pi\) |
0.0816762 | + | 0.996659i | \(0.473973\pi\) | |||||||
\(810\) | −43.9641 | − | 6.62652i | −1.54474 | − | 0.232832i | ||||
\(811\) | −0.720845 | + | 0.903911i | −0.0253123 | + | 0.0317406i | −0.794327 | − | 0.607491i | \(-0.792176\pi\) |
0.769014 | + | 0.639232i | \(0.220747\pi\) | |||||||
\(812\) | −55.3398 | + | 7.07321i | −1.94205 | + | 0.248221i | ||||
\(813\) | −29.8201 | − | 37.3932i | −1.04584 | − | 1.31144i | ||||
\(814\) | 0.860992 | + | 1.49128i | 0.0301778 | + | 0.0522694i | ||||
\(815\) | −24.4302 | + | 42.3144i | −0.855754 | + | 1.48221i | ||||
\(816\) | 15.6122 | − | 2.35316i | 0.546537 | − | 0.0823771i | ||||
\(817\) | 5.07454 | − | 4.70848i | 0.177536 | − | 0.164729i | ||||
\(818\) | −50.5736 | − | 24.3550i | −1.76826 | − | 0.851551i | ||||
\(819\) | −0.361740 | + | 0.864078i | −0.0126402 | + | 0.0301933i | ||||
\(820\) | 53.4393 | − | 25.7350i | 1.86618 | − | 0.898705i | ||||
\(821\) | 0.649115 | − | 1.65392i | 0.0226543 | − | 0.0577222i | −0.919099 | − | 0.394026i | \(-0.871082\pi\) |
0.941753 | + | 0.336304i | \(0.109177\pi\) | |||||||
\(822\) | −3.16260 | + | 42.2019i | −0.110308 | + | 1.47196i | ||||
\(823\) | −6.65369 | − | 2.05239i | −0.231933 | − | 0.0715419i | 0.176610 | − | 0.984281i | \(-0.443487\pi\) |
−0.408543 | + | 0.912739i | \(0.633963\pi\) | |||||||
\(824\) | 1.62856 | + | 21.7316i | 0.0567335 | + | 0.757057i | ||||
\(825\) | −0.601181 | + | 2.63394i | −0.0209304 | + | 0.0917022i | ||||
\(826\) | −12.6501 | + | 50.1960i | −0.440155 | + | 1.74654i | ||||
\(827\) | −1.84738 | − | 8.09391i | −0.0642397 | − | 0.281453i | 0.932598 | − | 0.360917i | \(-0.117536\pi\) |
−0.996838 | + | 0.0794642i | \(0.974679\pi\) | |||||||
\(828\) | −1.11280 | + | 0.343253i | −0.0386725 | + | 0.0119289i | ||||
\(829\) | −2.62811 | − | 6.69631i | −0.0912780 | − | 0.232573i | 0.877943 | − | 0.478765i | \(-0.158916\pi\) |
−0.969221 | + | 0.246193i | \(0.920820\pi\) | |||||||
\(830\) | 31.3836 | + | 29.1197i | 1.08934 | + | 1.01076i | ||||
\(831\) | 2.18383 | + | 1.48891i | 0.0757561 | + | 0.0516496i | ||||
\(832\) | 12.3284 | 0.427411 | ||||||||
\(833\) | −3.49589 | + | 29.0538i | −0.121126 | + | 1.00665i | ||||
\(834\) | 35.5918 | 1.23244 | ||||||||
\(835\) | 9.04479 | + | 6.16663i | 0.313008 | + | 0.213405i | ||||
\(836\) | −22.4770 | − | 20.8556i | −0.777382 | − | 0.721305i | ||||
\(837\) | 18.9533 | + | 48.2921i | 0.655121 | + | 1.66922i | ||||
\(838\) | 9.72087 | − | 2.99849i | 0.335802 | − | 0.103581i | ||||
\(839\) | 3.59731 | + | 15.7608i | 0.124193 | + | 0.544125i | 0.998294 | + | 0.0583812i | \(0.0185939\pi\) |
−0.874101 | + | 0.485743i | \(0.838549\pi\) | |||||||
\(840\) | 15.4757 | + | 0.347871i | 0.533964 | + | 0.0120027i | ||||
\(841\) | −6.97966 | + | 30.5799i | −0.240678 | + | 1.05448i | ||||
\(842\) | −0.516242 | − | 6.88878i | −0.0177909 | − | 0.237403i | ||||
\(843\) | 5.45319 | + | 1.68209i | 0.187818 | + | 0.0579341i | ||||
\(844\) | 0.980613 | − | 13.0854i | 0.0337541 | − | 0.450417i | ||||
\(845\) | 0.752891 | − | 1.91834i | 0.0259003 | − | 0.0659928i | ||||
\(846\) | 9.03758 | − | 4.35227i | 0.310719 | − | 0.149634i | ||||
\(847\) | 9.10505 | + | 16.6222i | 0.312853 | + | 0.571147i | ||||
\(848\) | 7.93559 | + | 3.82158i | 0.272509 | + | 0.131234i | ||||
\(849\) | 2.96313 | − | 2.74938i | 0.101694 | − | 0.0943586i | ||||
\(850\) | 6.75957 | − | 1.01884i | 0.231851 | − | 0.0349460i | ||||
\(851\) | 0.245360 | − | 0.424976i | 0.00841083 | − | 0.0145680i | ||||
\(852\) | 9.09030 | + | 15.7449i | 0.311428 | + | 0.539410i | ||||
\(853\) | 9.80270 | + | 12.2922i | 0.335638 | + | 0.420877i | 0.920797 | − | 0.390042i | \(-0.127539\pi\) |
−0.585159 | + | 0.810918i | \(0.698968\pi\) | |||||||
\(854\) | 32.0934 | + | 10.6951i | 1.09821 | + | 0.365978i | ||||
\(855\) | 2.62395 | − | 3.29032i | 0.0897371 | − | 0.112527i | ||||
\(856\) | −10.1015 | − | 1.52256i | −0.345263 | − | 0.0520401i | ||||
\(857\) | 21.2400 | − | 14.4812i | 0.725545 | − | 0.494669i | −0.143345 | − | 0.989673i | \(-0.545786\pi\) |
0.868891 | + | 0.495004i | \(0.164834\pi\) | |||||||
\(858\) | −6.43514 | + | 4.38741i | −0.219692 | + | 0.149784i | ||||
\(859\) | −26.4907 | − | 3.99284i | −0.903852 | − | 0.136234i | −0.319360 | − | 0.947633i | \(-0.603468\pi\) |
−0.584492 | + | 0.811399i | \(0.698706\pi\) | |||||||
\(860\) | −4.18519 | + | 5.24806i | −0.142714 | + | 0.178957i | ||||
\(861\) | 48.7499 | + | 16.2458i | 1.66139 | + | 0.553656i | ||||
\(862\) | 16.3323 | + | 20.4800i | 0.556279 | + | 0.697552i | ||||
\(863\) | −0.120386 | − | 0.208515i | −0.00409799 | − | 0.00709793i | 0.863969 | − | 0.503545i | \(-0.167971\pi\) |
−0.868067 | + | 0.496447i | \(0.834638\pi\) | |||||||
\(864\) | −18.3604 | + | 31.8011i | −0.624632 | + | 1.08190i | ||||
\(865\) | −1.32041 | + | 0.199019i | −0.0448951 | + | 0.00676685i | ||||
\(866\) | −8.77115 | + | 8.13843i | −0.298056 | + | 0.276555i | ||||
\(867\) | 0.786053 | + | 0.378543i | 0.0266957 | + | 0.0128560i | ||||
\(868\) | −36.9311 | − | 67.4217i | −1.25352 | − | 2.28844i | ||||
\(869\) | −21.3524 | + | 10.2828i | −0.724332 | + | 0.348820i | ||||
\(870\) | 23.2600 | − | 59.2655i | 0.788588 | − | 2.00929i | ||||
\(871\) | 0.521812 | − | 6.96309i | 0.0176809 | − | 0.235935i | ||||
\(872\) | 1.24029 | + | 0.382578i | 0.0420014 | + | 0.0129557i | ||||
\(873\) | 0.0204831 | + | 0.273327i | 0.000693246 | + | 0.00925073i | ||||
\(874\) | −3.37721 | + | 14.7965i | −0.114236 | + | 0.500500i | ||||
\(875\) | −31.3602 | − | 0.704929i | −1.06017 | − | 0.0238310i | ||||
\(876\) | 0.0552965 | + | 0.242270i | 0.00186829 | + | 0.00818553i | ||||
\(877\) | 20.7077 | − | 6.38748i | 0.699249 | − | 0.215690i | 0.0753072 | − | 0.997160i | \(-0.476006\pi\) |
0.623942 | + | 0.781471i | \(0.285530\pi\) | |||||||
\(878\) | −23.3554 | − | 59.5085i | −0.788206 | − | 2.00831i | ||||
\(879\) | −34.1647 | − | 31.7002i | −1.15235 | − | 1.06922i | ||||
\(880\) | −6.87771 | − | 4.68914i | −0.231847 | − | 0.158071i | ||||
\(881\) | 40.1685 | 1.35331 | 0.676655 | − | 0.736300i | \(-0.263429\pi\) | ||||
0.676655 | + | 0.736300i | \(0.263429\pi\) | |||||||
\(882\) | 3.77612 | + | 3.83357i | 0.127149 | + | 0.129083i | ||||
\(883\) | 27.6613 | 0.930878 | 0.465439 | − | 0.885080i | \(-0.345896\pi\) | ||||
0.465439 | + | 0.885080i | \(0.345896\pi\) | |||||||
\(884\) | 9.37435 | + | 6.39132i | 0.315294 | + | 0.214964i | ||||
\(885\) | −24.9316 | − | 23.1332i | −0.838067 | − | 0.777612i | ||||
\(886\) | 24.9225 | + | 63.5015i | 0.837288 | + | 2.13338i | ||||
\(887\) | −29.3854 | + | 9.06421i | −0.986667 | + | 0.304346i | −0.745769 | − | 0.666204i | \(-0.767918\pi\) |
−0.240897 | + | 0.970551i | \(0.577442\pi\) | |||||||
\(888\) | −0.255806 | − | 1.12076i | −0.00858429 | − | 0.0376102i | ||||
\(889\) | 8.95276 | − | 35.5247i | 0.300266 | − | 1.19146i | ||||
\(890\) | −7.67062 | + | 33.6072i | −0.257120 | + | 1.12652i | ||||
\(891\) | −1.45451 | − | 19.4090i | −0.0487278 | − | 0.650227i | ||||
\(892\) | 34.7188 | + | 10.7093i | 1.16247 | + | 0.358575i | ||||
\(893\) | 5.62461 | − | 75.0551i | 0.188220 | − | 2.51162i | ||||
\(894\) | 5.15378 | − | 13.1316i | 0.172368 | − | 0.439187i | ||||
\(895\) | −47.3229 | + | 22.7895i | −1.58183 | + | 0.761769i | ||||
\(896\) | 11.8635 | − | 28.3380i | 0.396331 | − | 0.946705i | ||||
\(897\) | 1.99971 | + | 0.963009i | 0.0667683 | + | 0.0321539i | ||||
\(898\) | 13.4509 | − | 12.4806i | 0.448862 | − | 0.416483i | ||||
\(899\) | −82.2506 | + | 12.3973i | −2.74321 | + | 0.413473i | ||||
\(900\) | 0.361849 | − | 0.626741i | 0.0120616 | − | 0.0208914i | ||||
\(901\) | 8.92758 | + | 15.4630i | 0.297421 | + | 0.515148i | ||||
\(902\) | 28.1193 | + | 35.2604i | 0.936269 | + | 1.17404i | ||||
\(903\) | −5.76842 | + | 0.737286i | −0.191961 | + | 0.0245354i | ||||
\(904\) | 11.8352 | − | 14.8409i | 0.393634 | − | 0.493601i | ||||
\(905\) | 23.8065 | + | 3.58825i | 0.791353 | + | 0.119277i | ||||
\(906\) | −23.4182 | + | 15.9663i | −0.778019 | + | 0.530444i | ||||
\(907\) | −3.59839 | + | 2.45334i | −0.119483 | + | 0.0814619i | −0.621587 | − | 0.783345i | \(-0.713512\pi\) |
0.502104 | + | 0.864807i | \(0.332559\pi\) | |||||||
\(908\) | 76.1538 | + | 11.4783i | 2.52725 | + | 0.380922i | ||||
\(909\) | −3.59248 | + | 4.50482i | −0.119155 | + | 0.149416i | ||||
\(910\) | −8.49472 | − | 8.24486i | −0.281597 | − | 0.273314i | ||||
\(911\) | −33.7486 | − | 42.3194i | −1.11814 | − | 1.40210i | −0.905172 | − | 0.425045i | \(-0.860258\pi\) |
−0.212968 | − | 0.977059i | \(-0.568313\pi\) | |||||||
\(912\) | −10.8920 | − | 18.8655i | −0.360669 | − | 0.624698i | ||||
\(913\) | −9.37091 | + | 16.2309i | −0.310132 | + | 0.537164i | ||||
\(914\) | −18.6264 | + | 2.80748i | −0.616108 | + | 0.0928633i | ||||
\(915\) | −16.2927 | + | 15.1174i | −0.538620 | + | 0.499767i | ||||
\(916\) | −25.2765 | − | 12.1725i | −0.835158 | − | 0.402191i | ||||
\(917\) | −17.1540 | − | 2.98125i | −0.566475 | − | 0.0984495i | ||||
\(918\) | −39.6275 | + | 19.0836i | −1.30790 | + | 0.629852i | ||||
\(919\) | −15.2599 | + | 38.8817i | −0.503379 | + | 1.28259i | 0.423046 | + | 0.906108i | \(0.360961\pi\) |
−0.926425 | + | 0.376480i | \(0.877134\pi\) | |||||||
\(920\) | 0.289331 | − | 3.86085i | 0.00953895 | − | 0.127288i | ||||
\(921\) | −29.7127 | − | 9.16516i | −0.979067 | − | 0.302002i | ||||
\(922\) | 3.50163 | + | 46.7260i | 0.115320 | + | 1.53884i | ||||
\(923\) | 0.813924 | − | 3.56604i | 0.0267906 | − | 0.117377i | ||||
\(924\) | 5.16596 | + | 25.2349i | 0.169948 | + | 0.830168i | ||||
\(925\) | 0.0678592 | + | 0.297311i | 0.00223120 | + | 0.00977552i | ||||
\(926\) | 53.8781 | − | 16.6192i | 1.77054 | − | 0.546140i | ||||
\(927\) | −1.81838 | − | 4.63316i | −0.0597234 | − | 0.152173i | ||||
\(928\) | −43.1596 | − | 40.0463i | −1.41678 | − | 1.31458i | ||||
\(929\) | 24.7438 | + | 16.8701i | 0.811819 | + | 0.553489i | 0.896564 | − | 0.442914i | \(-0.146055\pi\) |
−0.0847452 | + | 0.996403i | \(0.527008\pi\) | |||||||
\(930\) | 87.7271 | 2.87668 | ||||||||
\(931\) | 39.0776 | − | 10.1552i | 1.28072 | − | 0.332824i | ||||
\(932\) | −1.07526 | −0.0352215 | ||||||||
\(933\) | −43.8209 | − | 29.8766i | −1.43463 | − | 0.978116i | ||||
\(934\) | −27.7261 | − | 25.7261i | −0.907226 | − | 0.841782i | ||||
\(935\) | −6.16497 | − | 15.7081i | −0.201616 | − | 0.513709i | ||||
\(936\) | 0.524479 | − | 0.161780i | 0.0171431 | − | 0.00528796i | ||||
\(937\) | 4.99083 | + | 21.8662i | 0.163043 | + | 0.714339i | 0.988668 | + | 0.150119i | \(0.0479657\pi\) |
−0.825625 | + | 0.564220i | \(0.809177\pi\) | |||||||
\(938\) | −35.7384 | − | 18.2112i | −1.16690 | − | 0.594617i | ||||
\(939\) | −5.45417 | + | 23.8963i | −0.177990 | + | 0.779826i | ||||
\(940\) | 5.45401 | + | 72.7787i | 0.177890 | + | 2.37378i | ||||
\(941\) | 23.0676 | + | 7.11542i | 0.751983 | + | 0.231956i | 0.646971 | − | 0.762515i | \(-0.276036\pi\) |
0.105012 | + | 0.994471i | \(0.466512\pi\) | |||||||
\(942\) | −4.76382 | + | 63.5687i | −0.155214 | + | 2.07118i | ||||
\(943\) | 4.69545 | − | 11.9638i | 0.152905 | − | 0.389595i | ||||
\(944\) | −16.7432 | + | 8.06309i | −0.544944 | + | 0.262431i | ||||
\(945\) | 25.4158 | − | 7.21838i | 0.826776 | − | 0.234814i | ||||
\(946\) | −4.59853 | − | 2.21453i | −0.149511 | − | 0.0720007i | ||||
\(947\) | −1.87804 | + | 1.74257i | −0.0610282 | + | 0.0566259i | −0.710097 | − | 0.704104i | \(-0.751349\pi\) |
0.649069 | + | 0.760729i | \(0.275159\pi\) | |||||||
\(948\) | 59.4678 | − | 8.96333i | 1.93143 | − | 0.291116i | ||||
\(949\) | 0.0249978 | − | 0.0432974i | 0.000811462 | − | 0.00140549i | ||||
\(950\) | −4.71586 | − | 8.16812i | −0.153003 | − | 0.265009i | ||||
\(951\) | −2.95975 | − | 3.71141i | −0.0959764 | − | 0.120351i | ||||
\(952\) | 14.3803 | − | 9.33799i | 0.466070 | − | 0.302646i | ||||
\(953\) | 7.60587 | − | 9.53745i | 0.246378 | − | 0.308948i | −0.643230 | − | 0.765673i | \(-0.722406\pi\) |
0.889608 | + | 0.456725i | \(0.150978\pi\) | |||||||
\(954\) | 3.24658 | + | 0.489344i | 0.105112 | + | 0.0158431i | ||||
\(955\) | −3.95577 | + | 2.69700i | −0.128006 | + | 0.0872727i | ||||
\(956\) | −6.09421 | + | 4.15496i | −0.197101 | + | 0.134381i | ||||
\(957\) | 27.5599 | + | 4.15398i | 0.890884 | + | 0.134279i | ||||
\(958\) | −23.5431 | + | 29.5221i | −0.760642 | + | 0.953815i | ||||
\(959\) | −9.69598 | − | 26.4371i | −0.313100 | − | 0.853697i | ||||
\(960\) | 29.0105 | + | 36.3781i | 0.936311 | + | 1.17410i | ||||
\(961\) | −41.8073 | − | 72.4123i | −1.34862 | − | 2.33588i | ||||
\(962\) | −0.439569 | + | 0.761355i | −0.0141723 | + | 0.0245471i | ||||
\(963\) | 2.30710 | − | 0.347739i | 0.0743451 | − | 0.0112057i | ||||
\(964\) | 42.5571 | − | 39.4872i | 1.37067 | − | 1.27180i | ||||
\(965\) | −4.84850 | − | 2.33491i | −0.156079 | − | 0.0751636i | ||||
\(966\) | 9.53873 | − | 8.45979i | 0.306904 | − | 0.272189i | ||||
\(967\) | 43.6933 | − | 21.0416i | 1.40508 | − | 0.676652i | 0.430896 | − | 0.902402i | \(-0.358198\pi\) |
0.974185 | + | 0.225750i | \(0.0724832\pi\) | |||||||
\(968\) | 4.05706 | − | 10.3372i | 0.130399 | − | 0.332251i | ||||
\(969\) | 3.30010 | − | 44.0367i | 0.106014 | − | 1.41466i | ||||
\(970\) | −3.30994 | − | 1.02098i | −0.106276 | − | 0.0327817i | ||||
\(971\) | 2.73037 | + | 36.4342i | 0.0876217 | + | 1.16923i | 0.851673 | + | 0.524074i | \(0.175588\pi\) |
−0.764051 | + | 0.645156i | \(0.776792\pi\) | |||||||
\(972\) | −2.21092 | + | 9.68669i | −0.0709154 | + | 0.310701i | ||||
\(973\) | −21.5623 | + | 9.79316i | −0.691256 | + | 0.313954i | ||||
\(974\) | −16.1861 | − | 70.9161i | −0.518637 | − | 2.27230i | ||||
\(975\) | −1.31803 | + | 0.406558i | −0.0422107 | + | 0.0130203i | ||||
\(976\) | 4.43679 | + | 11.3048i | 0.142018 | + | 0.361857i | ||||
\(977\) | 17.4088 | + | 16.1530i | 0.556957 | + | 0.516781i | 0.907660 | − | 0.419706i | \(-0.137867\pi\) |
−0.350703 | + | 0.936487i | \(0.614057\pi\) | |||||||
\(978\) | 77.8950 | + | 53.1079i | 2.49081 | + | 1.69820i | ||||
\(979\) | −15.0905 | −0.482295 | ||||||||
\(980\) | −36.0014 | + | 15.3848i | −1.15002 | + | 0.491449i | ||||
\(981\) | −0.296440 | −0.00946459 | ||||||||
\(982\) | −41.6942 | − | 28.4266i | −1.33052 | − | 0.907131i | ||||
\(983\) | 39.3113 | + | 36.4756i | 1.25384 | + | 1.16339i | 0.979431 | + | 0.201777i | \(0.0646716\pi\) |
0.274406 | + | 0.961614i | \(0.411519\pi\) | |||||||
\(984\) | −10.9998 | − | 28.0270i | −0.350660 | − | 0.893467i | ||||
\(985\) | −37.1074 | + | 11.4461i | −1.18234 | + | 0.364704i | ||||
\(986\) | −15.6924 | − | 68.7528i | −0.499747 | − | 2.18954i | ||||
\(987\) | −40.5231 | + | 48.5353i | −1.28986 | + | 1.54490i | ||||
\(988\) | 3.48338 | − | 15.2617i | 0.110821 | − | 0.485539i | ||||
\(989\) | 0.108695 | + | 1.45043i | 0.00345630 | + | 0.0461211i | ||||
\(990\) | −2.96508 | − | 0.914607i | −0.0942365 | − | 0.0290681i | ||||
\(991\) | −1.53787 | + | 20.5214i | −0.0488519 | + | 0.651884i | 0.918006 | + | 0.396567i | \(0.129799\pi\) |
−0.966858 | + | 0.255316i | \(0.917820\pi\) | |||||||
\(992\) | 29.6390 | − | 75.5190i | 0.941040 | − | 2.39773i | ||||
\(993\) | −48.7424 | + | 23.4731i | −1.54679 | + | 0.744897i | ||||
\(994\) | −17.0901 | − | 12.2233i | −0.542066 | − | 0.387701i | ||||
\(995\) | 19.2818 | + | 9.28562i | 0.611274 | + | 0.294374i | ||||
\(996\) | 34.8633 | − | 32.3484i | 1.10469 | − | 1.02500i | ||||
\(997\) | 4.87423 | − | 0.734673i | 0.154369 | − | 0.0232673i | −0.0714033 | − | 0.997448i | \(-0.522748\pi\) |
0.225772 | + | 0.974180i | \(0.427510\pi\) | |||||||
\(998\) | 45.9022 | − | 79.5049i | 1.45301 | − | 2.51668i | ||||
\(999\) | −0.981065 | − | 1.69925i | −0.0310395 | − | 0.0537620i |
(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 | 637.2.bl.a.53.5 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.5 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.5 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.5 | yes | 324 | 49.37 | even | 21 | inner |