Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.10 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.10 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26137 | + | 0.639492i | −0.891922 | + | 0.452189i | ||||
\(3\) | −0.689827 | + | 1.58875i | −0.398272 | + | 0.917268i | ||||
\(4\) | 1.18210 | − | 1.61327i | 0.591049 | − | 0.806635i | ||||
\(5\) | 1.00094 | − | 1.99953i | 0.447632 | − | 0.894218i | ||||
\(6\) | −0.145871 | − | 2.44514i | −0.0595516 | − | 0.998225i | ||||
\(7\) | −0.923130 | −0.348910 | −0.174455 | − | 0.984665i | \(-0.555816\pi\) | ||||
−0.174455 | + | 0.984665i | \(0.555816\pi\) | |||||||
\(8\) | −0.459388 | + | 2.79087i | −0.162418 | + | 0.986722i | ||||
\(9\) | −2.04828 | − | 2.19193i | −0.682760 | − | 0.730643i | ||||
\(10\) | 0.0161381 | + | 3.16224i | 0.00510333 | + | 0.999987i | ||||
\(11\) | −4.04349 | − | 2.93777i | −1.21916 | − | 0.885770i | −0.223128 | − | 0.974789i | \(-0.571627\pi\) |
−0.996030 | + | 0.0890189i | \(0.971627\pi\) | |||||||
\(12\) | 1.74765 | + | 2.99094i | 0.504502 | + | 0.863410i | ||||
\(13\) | −3.14149 | − | 4.32389i | −0.871292 | − | 1.19923i | −0.978757 | − | 0.205022i | \(-0.934273\pi\) |
0.107465 | − | 0.994209i | \(-0.465727\pi\) | |||||||
\(14\) | 1.16441 | − | 0.590335i | 0.311201 | − | 0.157774i | ||||
\(15\) | 2.48629 | + | 2.96957i | 0.641958 | + | 0.766740i | ||||
\(16\) | −1.20528 | − | 3.81409i | −0.301321 | − | 0.953523i | ||||
\(17\) | −1.70962 | + | 5.26167i | −0.414644 | + | 1.27614i | 0.497926 | + | 0.867220i | \(0.334095\pi\) |
−0.912569 | + | 0.408922i | \(0.865905\pi\) | |||||||
\(18\) | 3.98536 | + | 1.45497i | 0.939357 | + | 0.342940i | ||||
\(19\) | −2.48437 | − | 0.807220i | −0.569953 | − | 0.185189i | 0.00984150 | − | 0.999952i | \(-0.496867\pi\) |
−0.579795 | + | 0.814763i | \(0.696867\pi\) | |||||||
\(20\) | −2.04258 | − | 3.97842i | −0.456735 | − | 0.889603i | ||||
\(21\) | 0.636800 | − | 1.46663i | 0.138961 | − | 0.320044i | ||||
\(22\) | 6.97901 | + | 1.11982i | 1.48793 | + | 0.238747i | ||||
\(23\) | 2.68594 | − | 3.69688i | 0.560058 | − | 0.770854i | −0.431276 | − | 0.902220i | \(-0.641936\pi\) |
0.991334 | + | 0.131366i | \(0.0419364\pi\) | |||||||
\(24\) | −4.11711 | − | 2.65507i | −0.840402 | − | 0.541964i | ||||
\(25\) | −2.99626 | − | 4.00280i | −0.599252 | − | 0.800561i | ||||
\(26\) | 6.72767 | + | 3.44506i | 1.31940 | + | 0.675631i | ||||
\(27\) | 4.89539 | − | 1.74216i | 0.942119 | − | 0.335279i | ||||
\(28\) | −1.09123 | + | 1.48926i | −0.206223 | + | 0.281443i | ||||
\(29\) | 7.66061 | − | 2.48908i | 1.42254 | − | 0.462211i | 0.506131 | − | 0.862456i | \(-0.331075\pi\) |
0.916408 | + | 0.400245i | \(0.131075\pi\) | |||||||
\(30\) | −5.03515 | − | 2.15576i | −0.919288 | − | 0.393585i | ||||
\(31\) | −1.27703 | − | 0.414934i | −0.229362 | − | 0.0745243i | 0.192081 | − | 0.981379i | \(-0.438476\pi\) |
−0.421443 | + | 0.906855i | \(0.638476\pi\) | |||||||
\(32\) | 3.95939 | + | 4.04020i | 0.699928 | + | 0.714214i | ||||
\(33\) | 7.45670 | − | 4.39756i | 1.29804 | − | 0.765517i | ||||
\(34\) | −1.20834 | − | 7.73019i | −0.207228 | − | 1.32572i | ||||
\(35\) | −0.923993 | + | 1.84583i | −0.156183 | + | 0.312002i | ||||
\(36\) | −5.95744 | + | 0.713350i | −0.992907 | + | 0.118892i | ||||
\(37\) | −0.788144 | − | 1.08479i | −0.129570 | − | 0.178338i | 0.739303 | − | 0.673373i | \(-0.235155\pi\) |
−0.868873 | + | 0.495035i | \(0.835155\pi\) | |||||||
\(38\) | 3.64992 | − | 0.570533i | 0.592094 | − | 0.0925527i | ||||
\(39\) | 9.03668 | − | 2.00832i | 1.44703 | − | 0.321589i | ||||
\(40\) | 5.12062 | + | 3.71204i | 0.809641 | + | 0.586925i | ||||
\(41\) | 0.114333 | + | 0.157366i | 0.0178559 | + | 0.0245765i | 0.817852 | − | 0.575429i | \(-0.195165\pi\) |
−0.799996 | + | 0.600006i | \(0.795165\pi\) | |||||||
\(42\) | 0.134658 | + | 2.25719i | 0.0207782 | + | 0.348291i | ||||
\(43\) | 3.44541 | 0.525420 | 0.262710 | − | 0.964875i | \(-0.415384\pi\) | ||||
0.262710 | + | 0.964875i | \(0.415384\pi\) | |||||||
\(44\) | −9.51922 | + | 3.05051i | −1.43508 | + | 0.459882i | ||||
\(45\) | −6.43303 | + | 1.90162i | −0.958979 | + | 0.283477i | ||||
\(46\) | −1.02383 | + | 6.38077i | −0.150956 | + | 0.940794i | ||||
\(47\) | −11.3954 | + | 3.70260i | −1.66219 | + | 0.540079i | −0.981330 | − | 0.192332i | \(-0.938395\pi\) |
−0.680863 | + | 0.732411i | \(0.738395\pi\) | |||||||
\(48\) | 6.89109 | + | 0.716161i | 0.994643 | + | 0.103369i | ||||
\(49\) | −6.14783 | −0.878261 | ||||||||
\(50\) | 6.33915 | + | 3.13292i | 0.896491 | + | 0.443062i | ||||
\(51\) | −7.18015 | − | 6.34580i | −1.00542 | − | 0.888590i | ||||
\(52\) | −10.6892 | − | 0.0431923i | −1.48232 | − | 0.00598969i | ||||
\(53\) | −0.488366 | − | 1.50304i | −0.0670823 | − | 0.206458i | 0.911896 | − | 0.410420i | \(-0.134618\pi\) |
−0.978979 | + | 0.203962i | \(0.934618\pi\) | |||||||
\(54\) | −5.06080 | + | 5.32807i | −0.688687 | + | 0.725059i | ||||
\(55\) | −9.92143 | + | 5.14457i | −1.33781 | + | 0.693694i | ||||
\(56\) | 0.424075 | − | 2.57634i | 0.0566694 | − | 0.344278i | ||||
\(57\) | 2.99626 | − | 3.39021i | 0.396864 | − | 0.449044i | ||||
\(58\) | −8.07110 | + | 8.03855i | −1.05979 | + | 1.05551i | ||||
\(59\) | 2.68596 | − | 1.95146i | 0.349682 | − | 0.254059i | −0.399053 | − | 0.916928i | \(-0.630661\pi\) |
0.748736 | + | 0.662869i | \(0.230661\pi\) | |||||||
\(60\) | 7.72976 | − | 0.500738i | 0.997908 | − | 0.0646451i | ||||
\(61\) | 9.01103 | + | 6.54690i | 1.15374 | + | 0.838244i | 0.988974 | − | 0.148088i | \(-0.0473117\pi\) |
0.164770 | + | 0.986332i | \(0.447312\pi\) | |||||||
\(62\) | 1.87616 | − | 0.293270i | 0.238272 | − | 0.0372453i | ||||
\(63\) | 1.89083 | + | 2.02344i | 0.238222 | + | 0.254929i | ||||
\(64\) | −7.57793 | − | 2.56418i | −0.947241 | − | 0.320523i | ||||
\(65\) | −11.7902 | + | 1.95358i | −1.46239 | + | 0.242311i | ||||
\(66\) | −6.59343 | + | 10.3154i | −0.811595 | + | 1.26974i | ||||
\(67\) | −1.91500 | + | 5.89375i | −0.233954 | + | 0.720036i | 0.763304 | + | 0.646039i | \(0.223576\pi\) |
−0.997258 | + | 0.0739975i | \(0.976424\pi\) | |||||||
\(68\) | 6.46755 | + | 8.97789i | 0.784306 | + | 1.08873i | ||||
\(69\) | 4.02060 | + | 6.81751i | 0.484024 | + | 0.820732i | ||||
\(70\) | −0.0148976 | − | 2.91916i | −0.00178060 | − | 0.348906i | ||||
\(71\) | −0.381033 | − | 1.17270i | −0.0452203 | − | 0.139174i | 0.925897 | − | 0.377776i | \(-0.123311\pi\) |
−0.971117 | + | 0.238602i | \(0.923311\pi\) | |||||||
\(72\) | 7.05835 | − | 4.70954i | 0.831834 | − | 0.555024i | ||||
\(73\) | 5.65120 | − | 7.77821i | 0.661423 | − | 0.910371i | −0.338104 | − | 0.941109i | \(-0.609786\pi\) |
0.999527 | + | 0.0307379i | \(0.00978572\pi\) | |||||||
\(74\) | 1.68785 | + | 0.864304i | 0.196209 | + | 0.100473i | ||||
\(75\) | 8.42637 | − | 1.99908i | 0.972993 | − | 0.230834i | ||||
\(76\) | −4.23903 | + | 3.05375i | −0.486251 | + | 0.350289i | ||||
\(77\) | 3.73267 | + | 2.71194i | 0.425377 | + | 0.309054i | ||||
\(78\) | −10.1143 | + | 8.31212i | −1.14522 | + | 0.941162i | ||||
\(79\) | 2.98954 | − | 0.971362i | 0.336350 | − | 0.109287i | −0.135972 | − | 0.990713i | \(-0.543416\pi\) |
0.472322 | + | 0.881426i | \(0.343416\pi\) | |||||||
\(80\) | −8.83281 | − | 1.40765i | −0.987538 | − | 0.157380i | ||||
\(81\) | −0.609109 | + | 8.97936i | −0.0676788 | + | 0.997707i | ||||
\(82\) | −0.244851 | − | 0.125382i | −0.0270393 | − | 0.0138461i | ||||
\(83\) | −3.68693 | − | 1.19795i | −0.404693 | − | 0.131493i | 0.0995956 | − | 0.995028i | \(-0.468245\pi\) |
−0.504288 | + | 0.863535i | \(0.668245\pi\) | |||||||
\(84\) | −1.61331 | − | 2.76103i | −0.176026 | − | 0.301253i | ||||
\(85\) | 8.80965 | + | 8.68503i | 0.955541 | + | 0.942023i | ||||
\(86\) | −4.34593 | + | 2.20331i | −0.468634 | + | 0.237589i | ||||
\(87\) | −1.32995 | + | 13.8879i | −0.142586 | + | 1.48893i | ||||
\(88\) | 10.0565 | − | 9.93529i | 1.07202 | − | 1.05911i | ||||
\(89\) | 2.53952 | − | 3.49535i | 0.269188 | − | 0.370506i | −0.652927 | − | 0.757421i | \(-0.726459\pi\) |
0.922115 | + | 0.386915i | \(0.126459\pi\) | |||||||
\(90\) | 6.89834 | − | 6.51252i | 0.727149 | − | 0.686479i | ||||
\(91\) | 2.90000 | + | 3.99151i | 0.304003 | + | 0.418424i | ||||
\(92\) | −2.78902 | − | 8.70324i | −0.290776 | − | 0.907375i | ||||
\(93\) | 1.54016 | − | 1.74266i | 0.159707 | − | 0.180706i | ||||
\(94\) | 12.0060 | − | 11.9576i | 1.23833 | − | 1.23333i | ||||
\(95\) | −4.10076 | + | 4.15960i | −0.420729 | + | 0.426766i | ||||
\(96\) | −9.15018 | + | 3.50346i | −0.933886 | + | 0.357570i | ||||
\(97\) | −10.7202 | + | 3.48321i | −1.08847 | + | 0.353666i | −0.797656 | − | 0.603113i | \(-0.793927\pi\) |
−0.290816 | + | 0.956779i | \(0.593927\pi\) | |||||||
\(98\) | 7.75468 | − | 3.93149i | 0.783341 | − | 0.397141i | ||||
\(99\) | 1.84282 | + | 14.8804i | 0.185210 | + | 1.49554i | ||||
\(100\) | −9.99948 | + | 0.102065i | −0.999948 | + | 0.0102065i | ||||
\(101\) | 2.34735i | 0.233570i | 0.993157 | + | 0.116785i | \(0.0372589\pi\) | ||||
−0.993157 | + | 0.116785i | \(0.962741\pi\) | |||||||
\(102\) | 13.1149 | + | 3.41274i | 1.29857 | + | 0.337911i | ||||
\(103\) | −3.92740 | − | 12.0873i | −0.386978 | − | 1.19100i | −0.935035 | − | 0.354556i | \(-0.884632\pi\) |
0.548057 | − | 0.836441i | \(-0.315368\pi\) | |||||||
\(104\) | 13.5106 | − | 6.78115i | 1.32482 | − | 0.664947i | ||||
\(105\) | −2.29517 | − | 2.74130i | −0.223986 | − | 0.267523i | ||||
\(106\) | 1.57719 | + | 1.58358i | 0.153190 | + | 0.153811i | ||||
\(107\) | − | 14.2230i | − | 1.37499i | −0.726188 | − | 0.687496i | \(-0.758710\pi\) | ||
0.726188 | − | 0.687496i | \(-0.241290\pi\) | |||||||
\(108\) | 2.97626 | − | 9.95700i | 0.286391 | − | 0.958113i | ||||
\(109\) | −0.603321 | + | 0.438338i | −0.0577876 | + | 0.0419852i | −0.616304 | − | 0.787508i | \(-0.711371\pi\) |
0.558516 | + | 0.829493i | \(0.311371\pi\) | |||||||
\(110\) | 9.22466 | − | 12.8339i | 0.879537 | − | 1.22366i | ||||
\(111\) | 2.26714 | − | 0.503852i | 0.215188 | − | 0.0478235i | ||||
\(112\) | 1.11263 | + | 3.52090i | 0.105134 | + | 0.332694i | ||||
\(113\) | −5.64270 | + | 4.09966i | −0.530820 | + | 0.385664i | −0.820665 | − | 0.571410i | \(-0.806397\pi\) |
0.289844 | + | 0.957074i | \(0.406397\pi\) | |||||||
\(114\) | −1.61137 | + | 6.19239i | −0.150919 | + | 0.579970i | ||||
\(115\) | −4.70358 | − | 9.07097i | −0.438611 | − | 0.845873i | ||||
\(116\) | 5.04003 | − | 15.3010i | 0.467955 | − | 1.42066i | ||||
\(117\) | −3.04301 | + | 15.7425i | −0.281327 | + | 1.45539i | ||||
\(118\) | −2.14004 | + | 4.17917i | −0.197006 | + | 0.384723i | ||||
\(119\) | 1.57820 | − | 4.85720i | 0.144673 | − | 0.445259i | ||||
\(120\) | −9.42986 | + | 5.57474i | −0.860825 | + | 0.508902i | ||||
\(121\) | 4.32015 | + | 13.2960i | 0.392741 | + | 1.20873i | ||||
\(122\) | −15.5529 | − | 2.49556i | −1.40810 | − | 0.225938i | ||||
\(123\) | −0.328887 | + | 0.0730921i | −0.0296547 | + | 0.00659049i | ||||
\(124\) | −2.17898 | + | 1.56971i | −0.195678 | + | 0.140964i | ||||
\(125\) | −11.0028 | + | 1.98457i | −0.984120 | + | 0.177505i | ||||
\(126\) | −3.67900 | − | 1.34313i | −0.327752 | − | 0.119655i | ||||
\(127\) | 10.1668 | + | 7.38658i | 0.902154 | + | 0.655453i | 0.939018 | − | 0.343867i | \(-0.111737\pi\) |
−0.0368642 | + | 0.999320i | \(0.511737\pi\) | |||||||
\(128\) | 11.1983 | − | 1.61165i | 0.989802 | − | 0.142451i | ||||
\(129\) | −2.37673 | + | 5.47391i | −0.209260 | + | 0.481951i | ||||
\(130\) | 13.6225 | − | 10.0039i | 1.19477 | − | 0.877401i | ||||
\(131\) | 1.95457 | − | 6.01556i | 0.170772 | − | 0.525582i | −0.828643 | − | 0.559777i | \(-0.810887\pi\) |
0.999415 | + | 0.0341951i | \(0.0108868\pi\) | |||||||
\(132\) | 1.72010 | − | 17.2280i | 0.149715 | − | 1.49951i | ||||
\(133\) | 2.29340 | + | 0.745170i | 0.198863 | + | 0.0646144i | ||||
\(134\) | −1.35349 | − | 8.65882i | −0.116924 | − | 0.748008i | ||||
\(135\) | 1.41647 | − | 11.5323i | 0.121910 | − | 0.992541i | ||||
\(136\) | −13.8993 | − | 7.18847i | −1.19185 | − | 0.616406i | ||||
\(137\) | −7.53310 | + | 5.47312i | −0.643596 | + | 0.467600i | −0.861084 | − | 0.508463i | \(-0.830214\pi\) |
0.217488 | + | 0.976063i | \(0.430214\pi\) | |||||||
\(138\) | −9.43121 | − | 6.02825i | −0.802838 | − | 0.513158i | ||||
\(139\) | 6.65163 | − | 9.15518i | 0.564184 | − | 0.776533i | −0.427667 | − | 0.903936i | \(-0.640664\pi\) |
0.991851 | + | 0.127404i | \(0.0406644\pi\) | |||||||
\(140\) | 1.88557 | + | 3.67260i | 0.159360 | + | 0.310392i | ||||
\(141\) | 1.97835 | − | 20.6587i | 0.166607 | − | 1.73977i | ||||
\(142\) | 1.23055 | + | 1.23554i | 0.103266 | + | 0.103684i | ||||
\(143\) | 26.7126i | 2.23382i | ||||||||
\(144\) | −5.89146 | + | 10.4542i | −0.490955 | + | 0.871185i | ||||
\(145\) | 2.69077 | − | 17.8090i | 0.223456 | − | 1.47896i | ||||
\(146\) | −2.15414 | + | 13.4251i | −0.178278 | + | 1.11107i | ||||
\(147\) | 4.24094 | − | 9.76739i | 0.349787 | − | 0.805601i | ||||
\(148\) | −2.68172 | − | 0.0108362i | −0.220436 | − | 0.000890729i | ||||
\(149\) | 8.40410i | 0.688491i | 0.938880 | + | 0.344245i | \(0.111865\pi\) | ||||
−0.938880 | + | 0.344245i | \(0.888135\pi\) | |||||||
\(150\) | −9.35036 | + | 7.91017i | −0.763454 | + | 0.645863i | ||||
\(151\) | 13.3363i | 1.08529i | 0.839962 | + | 0.542645i | \(0.182577\pi\) | ||||
−0.839962 | + | 0.542645i | \(0.817423\pi\) | |||||||
\(152\) | 3.39414 | − | 6.56273i | 0.275301 | − | 0.532307i | ||||
\(153\) | 15.0350 | − | 7.03000i | 1.21551 | − | 0.568341i | ||||
\(154\) | −6.44253 | − | 1.03374i | −0.519154 | − | 0.0833015i | ||||
\(155\) | −2.10790 | + | 2.13815i | −0.169311 | + | 0.171740i | ||||
\(156\) | 7.44228 | − | 16.9526i | 0.595860 | − | 1.35730i | ||||
\(157\) | − | 4.59933i | − | 0.367067i | −0.983013 | − | 0.183533i | \(-0.941246\pi\) | ||
0.983013 | − | 0.183533i | \(-0.0587536\pi\) | |||||||
\(158\) | −3.14974 | + | 3.13703i | −0.250580 | + | 0.249569i | ||||
\(159\) | 2.72484 | + | 0.260941i | 0.216094 | + | 0.0206940i | ||||
\(160\) | 12.0416 | − | 3.87295i | 0.951973 | − | 0.306183i | ||||
\(161\) | −2.47948 | + | 3.41271i | −0.195410 | + | 0.268959i | ||||
\(162\) | −4.97392 | − | 11.7158i | −0.390788 | − | 0.920481i | ||||
\(163\) | 8.56045 | − | 6.21953i | 0.670506 | − | 0.487151i | −0.199688 | − | 0.979859i | \(-0.563993\pi\) |
0.870195 | + | 0.492708i | \(0.163993\pi\) | |||||||
\(164\) | 0.389028 | + | 0.00157197i | 0.0303780 | + | 0.000122750i | ||||
\(165\) | −1.32940 | − | 19.3116i | −0.103493 | − | 1.50340i | ||||
\(166\) | 5.41665 | − | 0.846699i | 0.420414 | − | 0.0657166i | ||||
\(167\) | 12.9615 | + | 4.21143i | 1.00299 | + | 0.325891i | 0.764059 | − | 0.645146i | \(-0.223204\pi\) |
0.238929 | + | 0.971037i | \(0.423204\pi\) | |||||||
\(168\) | 3.80063 | + | 2.45098i | 0.293225 | + | 0.189097i | ||||
\(169\) | −4.80984 | + | 14.8032i | −0.369988 | + | 1.13870i | ||||
\(170\) | −16.6662 | − | 5.32131i | −1.27824 | − | 0.408126i | ||||
\(171\) | 3.31931 | + | 7.09897i | 0.253834 | + | 0.542872i | ||||
\(172\) | 4.07281 | − | 5.55838i | 0.310549 | − | 0.423822i | ||||
\(173\) | −7.53952 | − | 5.47778i | −0.573219 | − | 0.416468i | 0.263054 | − | 0.964781i | \(-0.415270\pi\) |
−0.836273 | + | 0.548313i | \(0.815270\pi\) | |||||||
\(174\) | −7.20362 | − | 18.3682i | −0.546105 | − | 1.39249i | ||||
\(175\) | 2.76594 | + | 3.69511i | 0.209085 | + | 0.279324i | ||||
\(176\) | −6.33136 | + | 18.9631i | −0.477244 | + | 1.42940i | ||||
\(177\) | 1.24755 | + | 5.61350i | 0.0937716 | + | 0.421937i | ||||
\(178\) | −0.968019 | + | 6.03292i | −0.0725561 | + | 0.452186i | ||||
\(179\) | −5.31065 | − | 16.3445i | −0.396936 | − | 1.22164i | −0.927443 | − | 0.373964i | \(-0.877998\pi\) |
0.530507 | − | 0.847681i | \(-0.322002\pi\) | |||||||
\(180\) | −4.53665 | + | 12.6261i | −0.338142 | + | 0.941095i | ||||
\(181\) | −0.203860 | + | 0.627418i | −0.0151528 | + | 0.0466356i | −0.958347 | − | 0.285606i | \(-0.907805\pi\) |
0.943194 | + | 0.332242i | \(0.107805\pi\) | |||||||
\(182\) | −6.21051 | − | 3.18024i | −0.460354 | − | 0.235735i | ||||
\(183\) | −16.6175 | + | 9.80009i | −1.22840 | + | 0.724444i | ||||
\(184\) | 9.08364 | + | 9.19443i | 0.669655 | + | 0.677822i | ||||
\(185\) | −2.95795 | + | 0.490118i | −0.217473 | + | 0.0360342i | ||||
\(186\) | −0.828290 | + | 3.18306i | −0.0607331 | + | 0.233393i | ||||
\(187\) | 22.3704 | − | 16.2530i | 1.63588 | − | 1.18854i | ||||
\(188\) | −7.49722 | + | 22.7607i | −0.546791 | + | 1.66000i | ||||
\(189\) | −4.51909 | + | 1.60824i | −0.328715 | + | 0.116982i | ||||
\(190\) | 2.51253 | − | 7.86919i | 0.182278 | − | 0.570891i | ||||
\(191\) | 6.00964 | − | 4.36626i | 0.434843 | − | 0.315932i | −0.348740 | − | 0.937220i | \(-0.613390\pi\) |
0.783582 | + | 0.621288i | \(0.213390\pi\) | |||||||
\(192\) | 9.30131 | − | 10.2706i | 0.671264 | − | 0.741218i | ||||
\(193\) | 1.26933i | 0.0913686i | 0.998956 | + | 0.0456843i | \(0.0145468\pi\) | ||||
−0.998956 | + | 0.0456843i | \(0.985453\pi\) | |||||||
\(194\) | 11.2946 | − | 11.2491i | 0.810908 | − | 0.807638i | ||||
\(195\) | 5.02943 | − | 20.0793i | 0.360165 | − | 1.43791i | ||||
\(196\) | −7.26734 | + | 9.91811i | −0.519096 | + | 0.708437i | ||||
\(197\) | −3.31567 | − | 10.2046i | −0.236232 | − | 0.727047i | −0.996956 | − | 0.0779712i | \(-0.975156\pi\) |
0.760724 | − | 0.649076i | \(-0.224844\pi\) | |||||||
\(198\) | −11.8404 | − | 17.5912i | −0.841459 | − | 1.25015i | ||||
\(199\) | 7.30187i | 0.517615i | 0.965929 | + | 0.258808i | \(0.0833296\pi\) | ||||
−0.965929 | + | 0.258808i | \(0.916670\pi\) | |||||||
\(200\) | 12.5478 | − | 6.52333i | 0.887260 | − | 0.461269i | ||||
\(201\) | −8.04271 | − | 7.10812i | −0.567289 | − | 0.501368i | ||||
\(202\) | −1.50112 | − | 2.96088i | −0.105618 | − | 0.208327i | ||||
\(203\) | −7.07174 | + | 2.29775i | −0.496339 | + | 0.161270i | ||||
\(204\) | −18.7251 | + | 4.08217i | −1.31102 | + | 0.285809i | ||||
\(205\) | 0.429099 | − | 0.0710997i | 0.0299696 | − | 0.00496582i | ||||
\(206\) | 12.6836 | + | 12.7350i | 0.883711 | + | 0.887289i | ||||
\(207\) | −13.6049 | + | 1.68485i | −0.945604 | + | 0.117105i | ||||
\(208\) | −12.7053 | + | 17.1934i | −0.880955 | + | 1.19215i | ||||
\(209\) | 7.67410 | + | 10.5625i | 0.530828 | + | 0.730622i | ||||
\(210\) | 4.64810 | + | 1.99004i | 0.320749 | + | 0.137326i | ||||
\(211\) | 13.4987 | − | 18.5794i | 0.929289 | − | 1.27906i | −0.0308478 | − | 0.999524i | \(-0.509821\pi\) |
0.960136 | − | 0.279532i | \(-0.0901793\pi\) | |||||||
\(212\) | −3.00210 | − | 0.988871i | −0.206185 | − | 0.0679160i | ||||
\(213\) | 2.12598 | + | 0.203591i | 0.145669 | + | 0.0139498i | ||||
\(214\) | 9.09552 | + | 17.9405i | 0.621757 | + | 1.22639i | ||||
\(215\) | 3.44863 | − | 6.88921i | 0.235195 | − | 0.469840i | ||||
\(216\) | 2.61326 | + | 14.4627i | 0.177810 | + | 0.984065i | ||||
\(217\) | 1.17887 | + | 0.383038i | 0.0800269 | + | 0.0260023i | ||||
\(218\) | 0.480696 | − | 0.938725i | 0.0325568 | − | 0.0635785i | ||||
\(219\) | 8.45931 | + | 14.3440i | 0.571628 | + | 0.969277i | ||||
\(220\) | −3.42852 | + | 22.0873i | −0.231151 | + | 1.48913i | ||||
\(221\) | 28.1216 | − | 9.13727i | 1.89166 | − | 0.614639i | ||||
\(222\) | −2.53749 | + | 2.08536i | −0.170305 | + | 0.139960i | ||||
\(223\) | −15.8830 | − | 11.5397i | −1.06361 | − | 0.772755i | −0.0888541 | − | 0.996045i | \(-0.528320\pi\) |
−0.974752 | + | 0.223289i | \(0.928320\pi\) | |||||||
\(224\) | −3.65503 | − | 3.72963i | −0.244212 | − | 0.249197i | ||||
\(225\) | −2.63669 | + | 14.7664i | −0.175779 | + | 0.984430i | ||||
\(226\) | 4.49582 | − | 8.77964i | 0.299057 | − | 0.584013i | ||||
\(227\) | −8.97114 | + | 12.3477i | −0.595436 | + | 0.819547i | −0.995281 | − | 0.0970357i | \(-0.969064\pi\) |
0.399845 | + | 0.916583i | \(0.369064\pi\) | |||||||
\(228\) | −1.92745 | − | 8.84134i | −0.127649 | − | 0.585532i | ||||
\(229\) | 2.34896 | + | 7.22935i | 0.155224 | + | 0.477729i | 0.998183 | − | 0.0602473i | \(-0.0191889\pi\) |
−0.842960 | + | 0.537976i | \(0.819189\pi\) | |||||||
\(230\) | 11.7338 | + | 8.43393i | 0.773702 | + | 0.556117i | ||||
\(231\) | −6.88350 | + | 4.05952i | −0.452901 | + | 0.267097i | ||||
\(232\) | 3.42752 | + | 22.5232i | 0.225028 | + | 1.47872i | ||||
\(233\) | 2.87386 | − | 8.84484i | 0.188273 | − | 0.579445i | −0.811716 | − | 0.584052i | \(-0.801466\pi\) |
0.999989 | + | 0.00460692i | \(0.00146643\pi\) | |||||||
\(234\) | −6.22882 | − | 21.8030i | −0.407191 | − | 1.42531i | ||||
\(235\) | −4.00261 | + | 26.4916i | −0.261102 | + | 1.72812i | ||||
\(236\) | 0.0268306 | − | 6.64000i | 0.00174653 | − | 0.432227i | ||||
\(237\) | −0.519012 | + | 5.41972i | −0.0337134 | + | 0.352049i | ||||
\(238\) | 1.11545 | + | 7.13597i | 0.0723040 | + | 0.462556i | ||||
\(239\) | −3.25779 | − | 2.36692i | −0.210729 | − | 0.153103i | 0.477415 | − | 0.878678i | \(-0.341574\pi\) |
−0.688143 | + | 0.725575i | \(0.741574\pi\) | |||||||
\(240\) | 8.32952 | − | 13.0621i | 0.537668 | − | 0.843157i | ||||
\(241\) | 19.1620 | − | 13.9220i | 1.23433 | − | 0.896796i | 0.237127 | − | 0.971479i | \(-0.423794\pi\) |
0.997207 | + | 0.0746822i | \(0.0237942\pi\) | |||||||
\(242\) | −13.9520 | − | 14.0085i | −0.896869 | − | 0.900501i | ||||
\(243\) | −13.8458 | − | 7.16193i | −0.888210 | − | 0.459438i | ||||
\(244\) | 21.2139 | − | 6.79815i | 1.35808 | − | 0.435207i | ||||
\(245\) | −6.15358 | + | 12.2928i | −0.393138 | + | 0.785357i | ||||
\(246\) | 0.368105 | − | 0.302516i | 0.0234695 | − | 0.0192877i | ||||
\(247\) | 4.31429 | + | 13.2780i | 0.274511 | + | 0.844859i | ||||
\(248\) | 1.74468 | − | 3.37342i | 0.110787 | − | 0.214213i | ||||
\(249\) | 4.44660 | − | 5.03124i | 0.281792 | − | 0.318842i | ||||
\(250\) | 12.6095 | − | 9.53947i | 0.797492 | − | 0.603329i | ||||
\(251\) | 17.7900 | 1.12290 | 0.561448 | − | 0.827512i | \(-0.310245\pi\) | ||||
0.561448 | + | 0.827512i | \(0.310245\pi\) | |||||||
\(252\) | 5.49950 | − | 0.658515i | 0.346436 | − | 0.0414826i | ||||
\(253\) | −21.7212 | + | 7.05764i | −1.36560 | + | 0.443710i | ||||
\(254\) | −17.5477 | − | 2.81564i | −1.10104 | − | 0.176669i | ||||
\(255\) | −19.8755 | + | 8.00521i | −1.24465 | + | 0.501306i | ||||
\(256\) | −13.0946 | + | 9.19413i | −0.818411 | + | 0.574633i | ||||
\(257\) | 29.9823 | 1.87025 | 0.935123 | − | 0.354324i | \(-0.115289\pi\) | ||||
0.935123 | + | 0.354324i | \(0.115289\pi\) | |||||||
\(258\) | −0.502585 | − | 8.42452i | −0.0312896 | − | 0.524487i | ||||
\(259\) | 0.727560 | + | 1.00140i | 0.0452084 | + | 0.0622240i | ||||
\(260\) | −10.7855 | + | 21.3301i | −0.668889 | + | 1.32283i | ||||
\(261\) | −21.1470 | − | 11.6932i | −1.30896 | − | 0.723790i | ||||
\(262\) | 1.38147 | + | 8.83777i | 0.0853474 | + | 0.545999i | ||||
\(263\) | −1.65049 | − | 2.27170i | −0.101773 | − | 0.140079i | 0.755093 | − | 0.655618i | \(-0.227592\pi\) |
−0.856866 | + | 0.515539i | \(0.827592\pi\) | |||||||
\(264\) | 8.84751 | + | 22.8309i | 0.544527 | + | 1.40514i | ||||
\(265\) | −3.49419 | − | 0.527938i | −0.214647 | − | 0.0324310i | ||||
\(266\) | −3.36935 | + | 0.526676i | −0.206588 | + | 0.0322926i | ||||
\(267\) | 3.80142 | + | 6.44585i | 0.232643 | + | 0.394480i | ||||
\(268\) | 7.24450 | + | 10.0564i | 0.442528 | + | 0.614293i | ||||
\(269\) | −6.77105 | − | 2.20005i | −0.412838 | − | 0.134139i | 0.0952315 | − | 0.995455i | \(-0.469641\pi\) |
−0.508070 | + | 0.861316i | \(0.669641\pi\) | |||||||
\(270\) | 5.58812 | + | 15.4523i | 0.340082 | + | 0.940396i | ||||
\(271\) | −23.3369 | + | 7.58261i | −1.41761 | + | 0.460611i | −0.914843 | − | 0.403809i | \(-0.867686\pi\) |
−0.502771 | + | 0.864420i | \(0.667686\pi\) | |||||||
\(272\) | 22.1291 | + | 0.178839i | 1.34177 | + | 0.0108437i | ||||
\(273\) | −8.34203 | + | 1.85394i | −0.504883 | + | 0.112206i | ||||
\(274\) | 6.00200 | − | 11.7210i | 0.362594 | − | 0.708090i | ||||
\(275\) | 0.356033 | + | 24.9876i | 0.0214696 | + | 1.50681i | ||||
\(276\) | 15.7512 | + | 1.57265i | 0.948114 | + | 0.0946625i | ||||
\(277\) | −5.12274 | + | 7.05084i | −0.307795 | + | 0.423644i | −0.934692 | − | 0.355458i | \(-0.884325\pi\) |
0.626897 | + | 0.779102i | \(0.284325\pi\) | |||||||
\(278\) | −2.53548 | + | 15.8017i | −0.152068 | + | 0.947724i | ||||
\(279\) | 1.70622 | + | 3.64907i | 0.102149 | + | 0.218464i | ||||
\(280\) | −4.72700 | − | 3.42670i | −0.282492 | − | 0.204784i | ||||
\(281\) | −3.00373 | − | 0.975970i | −0.179187 | − | 0.0582215i | 0.218049 | − | 0.975938i | \(-0.430031\pi\) |
−0.397236 | + | 0.917716i | \(0.630031\pi\) | |||||||
\(282\) | 10.7156 | + | 27.3233i | 0.638107 | + | 1.62708i | ||||
\(283\) | −1.89969 | + | 5.84664i | −0.112925 | + | 0.347547i | −0.991509 | − | 0.130042i | \(-0.958489\pi\) |
0.878584 | + | 0.477588i | \(0.158489\pi\) | |||||||
\(284\) | −2.34230 | − | 0.771537i | −0.138990 | − | 0.0457823i | ||||
\(285\) | −3.77977 | − | 9.38449i | −0.223894 | − | 0.555889i | ||||
\(286\) | −17.0825 | − | 33.6944i | −1.01011 | − | 1.99239i | ||||
\(287\) | −0.105545 | − | 0.145270i | −0.00623010 | − | 0.00857500i | ||||
\(288\) | 0.745906 | − | 16.9542i | 0.0439529 | − | 0.999034i | ||||
\(289\) | −11.0091 | − | 7.99854i | −0.647591 | − | 0.470503i | ||||
\(290\) | 7.99470 | + | 24.1845i | 0.469465 | + | 1.42016i | ||||
\(291\) | 1.86113 | − | 19.4346i | 0.109101 | − | 1.13928i | ||||
\(292\) | −5.86808 | − | 18.3115i | −0.343403 | − | 1.07160i | ||||
\(293\) | −4.90224 | −0.286392 | −0.143196 | − | 0.989694i | \(-0.545738\pi\) | ||||
−0.143196 | + | 0.989694i | \(0.545738\pi\) | |||||||
\(294\) | 0.896790 | + | 15.0323i | 0.0523018 | + | 0.876703i | ||||
\(295\) | −1.21354 | − | 7.32395i | −0.0706553 | − | 0.426417i | ||||
\(296\) | 3.38957 | − | 1.70127i | 0.197015 | − | 0.0988844i | ||||
\(297\) | −24.9125 | − | 7.33712i | −1.44557 | − | 0.425743i | ||||
\(298\) | −5.37436 | − | 10.6007i | −0.311328 | − | 0.614080i | ||||
\(299\) | −24.4228 | −1.41241 | ||||||||
\(300\) | 6.73575 | − | 15.9571i | 0.388889 | − | 0.921285i | ||||
\(301\) | −3.18056 | −0.183325 | ||||||||
\(302\) | −8.52844 | − | 16.8219i | −0.490757 | − | 0.967994i | ||||
\(303\) | −3.72937 | − | 1.61927i | −0.214247 | − | 0.0930245i | ||||
\(304\) | −0.0844414 | + | 10.4485i | −0.00484305 | + | 0.599265i | ||||
\(305\) | 22.1102 | − | 11.4648i | 1.26603 | − | 0.656474i | ||||
\(306\) | −14.4690 | + | 18.4822i | −0.827138 | + | 1.05656i | ||||
\(307\) | −19.7919 | −1.12958 | −0.564792 | − | 0.825233i | \(-0.691044\pi\) | ||||
−0.564792 | + | 0.825233i | \(0.691044\pi\) | |||||||
\(308\) | 8.78748 | − | 2.81602i | 0.500713 | − | 0.160458i | ||||
\(309\) | 21.9130 | + | 2.09846i | 1.24659 | + | 0.119377i | ||||
\(310\) | 1.29151 | − | 4.04498i | 0.0733528 | − | 0.229739i | ||||
\(311\) | −4.54758 | − | 3.30401i | −0.257869 | − | 0.187353i | 0.451338 | − | 0.892353i | \(-0.350947\pi\) |
−0.709207 | + | 0.705000i | \(0.750947\pi\) | |||||||
\(312\) | 1.45363 | + | 26.1428i | 0.0822953 | + | 1.48004i | ||||
\(313\) | 3.59609 | + | 4.94959i | 0.203263 | + | 0.279768i | 0.898463 | − | 0.439048i | \(-0.144684\pi\) |
−0.695200 | + | 0.718816i | \(0.744684\pi\) | |||||||
\(314\) | 2.94124 | + | 5.80145i | 0.165984 | + | 0.327395i | ||||
\(315\) | 5.93852 | − | 1.75544i | 0.334598 | − | 0.0989080i | ||||
\(316\) | 1.96687 | − | 5.97119i | 0.110645 | − | 0.335906i | ||||
\(317\) | 4.61467 | − | 14.2025i | 0.259186 | − | 0.797692i | −0.733790 | − | 0.679376i | \(-0.762251\pi\) |
0.992976 | − | 0.118316i | \(-0.0377495\pi\) | |||||||
\(318\) | −3.60390 | + | 1.41337i | −0.202097 | + | 0.0792581i | ||||
\(319\) | −38.2879 | − | 12.4405i | −2.14371 | − | 0.696535i | ||||
\(320\) | −12.7122 | + | 12.5857i | −0.710632 | + | 0.703563i | ||||
\(321\) | 22.5969 | + | 9.81142i | 1.26124 | + | 0.547620i | ||||
\(322\) | 0.945132 | − | 5.89028i | 0.0526702 | − | 0.328253i | ||||
\(323\) | 8.49465 | − | 11.6919i | 0.472655 | − | 0.650554i | ||||
\(324\) | 13.7661 | + | 11.5972i | 0.764784 | + | 0.644286i | ||||
\(325\) | −7.89497 | + | 25.5302i | −0.437934 | + | 1.41616i | ||||
\(326\) | −6.82053 | + | 13.3195i | −0.377754 | + | 0.737697i | ||||
\(327\) | −0.280225 | − | 1.26091i | −0.0154965 | − | 0.0697282i | ||||
\(328\) | −0.491713 | + | 0.246798i | −0.0271503 | + | 0.0136271i | ||||
\(329\) | 10.5195 | − | 3.41798i | 0.579956 | − | 0.188439i | ||||
\(330\) | 14.0265 | + | 23.5089i | 0.772131 | + | 1.29412i | ||||
\(331\) | 26.4114 | + | 8.58159i | 1.45170 | + | 0.471687i | 0.925525 | − | 0.378687i | \(-0.123624\pi\) |
0.526179 | + | 0.850374i | \(0.323624\pi\) | |||||||
\(332\) | −6.29094 | + | 4.53191i | −0.345260 | + | 0.248721i | ||||
\(333\) | −0.763439 | + | 3.94950i | −0.0418362 | + | 0.216431i | ||||
\(334\) | −19.0424 | + | 2.97659i | −1.04195 | + | 0.162872i | ||||
\(335\) | 9.86796 | + | 9.72836i | 0.539144 | + | 0.531517i | ||||
\(336\) | −6.36137 | − | 0.661110i | −0.347041 | − | 0.0360665i | ||||
\(337\) | −13.9377 | − | 19.1835i | −0.759232 | − | 1.04499i | −0.997278 | − | 0.0737395i | \(-0.976507\pi\) |
0.238045 | − | 0.971254i | \(-0.423493\pi\) | |||||||
\(338\) | −3.39953 | − | 21.7481i | −0.184910 | − | 1.18294i | ||||
\(339\) | −2.62087 | − | 11.7929i | −0.142346 | − | 0.640503i | ||||
\(340\) | 24.4252 | − | 3.94580i | 1.32464 | − | 0.213991i | ||||
\(341\) | 3.94470 | + | 5.42941i | 0.213617 | + | 0.294019i | ||||
\(342\) | −8.72661 | − | 6.83175i | −0.471881 | − | 0.369418i | ||||
\(343\) | 12.1372 | 0.655345 | ||||||||
\(344\) | −1.58278 | + | 9.61569i | −0.0853377 | + | 0.518443i | ||||
\(345\) | 17.6562 | − | 1.21544i | 0.950578 | − | 0.0654371i | ||||
\(346\) | 13.0131 | + | 2.08803i | 0.699589 | + | 0.112253i | ||||
\(347\) | 16.8095 | − | 5.46175i | 0.902383 | − | 0.293202i | 0.179163 | − | 0.983819i | \(-0.442661\pi\) |
0.723220 | + | 0.690617i | \(0.242661\pi\) | |||||||
\(348\) | 20.8327 | + | 18.5624i | 1.11675 | + | 0.995049i | ||||
\(349\) | 33.8546 | 1.81219 | 0.906096 | − | 0.423071i | \(-0.139048\pi\) | ||||
0.906096 | + | 0.423071i | \(0.139048\pi\) | |||||||
\(350\) | −5.85186 | − | 2.89210i | −0.312795 | − | 0.154589i | ||||
\(351\) | −22.9117 | − | 15.6942i | −1.22294 | − | 0.837692i | ||||
\(352\) | −4.14058 | − | 27.9683i | −0.220693 | − | 1.49071i | ||||
\(353\) | 8.01491 | + | 24.6673i | 0.426590 | + | 1.31291i | 0.901463 | + | 0.432856i | \(0.142494\pi\) |
−0.474873 | + | 0.880055i | \(0.657506\pi\) | |||||||
\(354\) | −5.16341 | − | 6.28289i | −0.274432 | − | 0.333932i | ||||
\(355\) | −2.72624 | − | 0.411908i | −0.144694 | − | 0.0218618i | ||||
\(356\) | −2.63698 | − | 8.22877i | −0.139760 | − | 0.436124i | ||||
\(357\) | 6.62822 | + | 5.85800i | 0.350802 | + | 0.310038i | ||||
\(358\) | 17.1509 | + | 17.2203i | 0.906451 | + | 0.910121i | ||||
\(359\) | 11.7524 | − | 8.53862i | 0.620268 | − | 0.450651i | −0.232747 | − | 0.972537i | \(-0.574772\pi\) |
0.853015 | + | 0.521886i | \(0.174772\pi\) | |||||||
\(360\) | −2.35192 | − | 18.8273i | −0.123957 | − | 0.992288i | ||||
\(361\) | −9.85084 | − | 7.15705i | −0.518465 | − | 0.376687i | ||||
\(362\) | −0.144086 | − | 0.921772i | −0.00757298 | − | 0.0484472i | ||||
\(363\) | −24.1043 | − | 2.30831i | −1.26515 | − | 0.121155i | ||||
\(364\) | 9.86748 | + | 0.0398721i | 0.517197 | + | 0.00208987i | ||||
\(365\) | −9.89630 | − | 19.0852i | −0.517996 | − | 0.998967i | ||||
\(366\) | 14.6937 | − | 22.9883i | 0.768049 | − | 1.20162i | ||||
\(367\) | 3.26231 | − | 10.0404i | 0.170291 | − | 0.524102i | −0.829096 | − | 0.559106i | \(-0.811144\pi\) |
0.999387 | + | 0.0350041i | \(0.0111444\pi\) | |||||||
\(368\) | −17.3376 | − | 5.78864i | −0.903784 | − | 0.301754i | ||||
\(369\) | 0.110749 | − | 0.572941i | 0.00576538 | − | 0.0298261i | ||||
\(370\) | 3.41764 | − | 2.50981i | 0.177674 | − | 0.130479i | ||||
\(371\) | 0.450826 | + | 1.38750i | 0.0234057 | + | 0.0720354i | ||||
\(372\) | −0.990763 | − | 4.54469i | −0.0513687 | − | 0.235631i | ||||
\(373\) | 16.2173 | − | 22.3212i | 0.839699 | − | 1.15575i | −0.146340 | − | 0.989234i | \(-0.546750\pi\) |
0.986039 | − | 0.166512i | \(-0.0532505\pi\) | |||||||
\(374\) | −17.8236 | + | 34.8067i | −0.921636 | + | 1.79981i | ||||
\(375\) | 4.43703 | − | 18.8497i | 0.229127 | − | 0.973396i | ||||
\(376\) | −5.09856 | − | 33.5041i | −0.262938 | − | 1.72784i | ||||
\(377\) | −34.8282 | − | 25.3042i | −1.79375 | − | 1.30323i | ||||
\(378\) | 4.67177 | − | 4.91850i | 0.240290 | − | 0.252981i | ||||
\(379\) | −5.89230 | + | 1.91452i | −0.302667 | + | 0.0983425i | −0.456413 | − | 0.889768i | \(-0.650866\pi\) |
0.153746 | + | 0.988110i | \(0.450866\pi\) | |||||||
\(380\) | 1.86306 | + | 11.5327i | 0.0955731 | + | 0.591614i | ||||
\(381\) | −18.7488 | + | 11.0570i | −0.960528 | + | 0.566468i | ||||
\(382\) | −4.78818 | + | 9.35058i | −0.244985 | + | 0.478418i | ||||
\(383\) | 27.4308 | + | 8.91280i | 1.40165 | + | 0.455423i | 0.909723 | − | 0.415216i | \(-0.136294\pi\) |
0.491924 | + | 0.870638i | \(0.336294\pi\) | |||||||
\(384\) | −5.16439 | + | 18.9031i | −0.263544 | + | 0.964647i | ||||
\(385\) | 9.15877 | − | 4.74911i | 0.466774 | − | 0.242037i | ||||
\(386\) | −0.811728 | − | 1.60110i | −0.0413159 | − | 0.0814936i | ||||
\(387\) | −7.05716 | − | 7.55209i | −0.358735 | − | 0.383894i | ||||
\(388\) | −7.05299 | + | 21.4121i | −0.358061 | + | 1.08703i | ||||
\(389\) | 3.59303 | − | 4.94539i | 0.182174 | − | 0.250741i | −0.708157 | − | 0.706055i | \(-0.750473\pi\) |
0.890331 | + | 0.455314i | \(0.150473\pi\) | |||||||
\(390\) | 6.49662 | + | 28.5437i | 0.328969 | + | 1.44537i | ||||
\(391\) | 14.8598 | + | 20.4528i | 0.751494 | + | 1.03434i | ||||
\(392\) | 2.82424 | − | 17.1578i | 0.142646 | − | 0.866600i | ||||
\(393\) | 8.20893 | + | 7.25503i | 0.414086 | + | 0.365968i | ||||
\(394\) | 10.7080 | + | 10.7514i | 0.539463 | + | 0.541648i | ||||
\(395\) | 1.05007 | − | 6.94996i | 0.0528348 | − | 0.349690i | ||||
\(396\) | 26.1845 | + | 14.6172i | 1.31582 | + | 0.734540i | ||||
\(397\) | −4.07817 | + | 1.32508i | −0.204677 | + | 0.0665037i | −0.409561 | − | 0.912283i | \(-0.634318\pi\) |
0.204884 | + | 0.978786i | \(0.434318\pi\) | |||||||
\(398\) | −4.66949 | − | 9.21034i | −0.234060 | − | 0.461673i | ||||
\(399\) | −2.76594 | + | 3.12960i | −0.138470 | + | 0.156676i | ||||
\(400\) | −11.6557 | + | 16.2525i | −0.582786 | + | 0.812626i | ||||
\(401\) | − | 30.8854i | − | 1.54234i | −0.636629 | − | 0.771170i | \(-0.719672\pi\) | ||
0.636629 | − | 0.771170i | \(-0.280328\pi\) | |||||||
\(402\) | 14.6904 | + | 3.82271i | 0.732691 | + | 0.190660i | ||||
\(403\) | 2.21766 | + | 6.82526i | 0.110470 | + | 0.339991i | ||||
\(404\) | 3.78692 | + | 2.77480i | 0.188406 | + | 0.138052i | ||||
\(405\) | 17.3449 | + | 10.2057i | 0.861873 | + | 0.507125i | ||||
\(406\) | 7.45068 | − | 7.42063i | 0.369771 | − | 0.368280i | ||||
\(407\) | 6.70171i | 0.332192i | ||||||||
\(408\) | 21.0088 | − | 17.1237i | 1.04009 | − | 0.847750i | ||||
\(409\) | −20.0028 | + | 14.5329i | −0.989076 | + | 0.718606i | −0.959718 | − | 0.280963i | \(-0.909346\pi\) |
−0.0293572 | + | 0.999569i | \(0.509346\pi\) | |||||||
\(410\) | −0.495784 | + | 0.364089i | −0.0244850 | + | 0.0179811i | ||||
\(411\) | −3.49891 | − | 15.7437i | −0.172588 | − | 0.776582i | ||||
\(412\) | −24.1427 | − | 7.95242i | −1.18942 | − | 0.391788i | ||||
\(413\) | −2.47949 | + | 1.80146i | −0.122008 | + | 0.0886438i | ||||
\(414\) | 16.0833 | − | 10.8254i | 0.790451 | − | 0.532041i | ||||
\(415\) | −6.08572 | + | 6.17305i | −0.298736 | + | 0.303023i | ||||
\(416\) | 5.03101 | − | 29.8122i | 0.246665 | − | 1.46166i | ||||
\(417\) | 9.95686 | + | 16.8833i | 0.487590 | + | 0.826778i | ||||
\(418\) | −16.4345 | − | 8.41566i | −0.803837 | − | 0.411623i | ||||
\(419\) | 0.137486 | − | 0.423138i | 0.00671662 | − | 0.0206716i | −0.947642 | − | 0.319335i | \(-0.896541\pi\) |
0.954359 | + | 0.298663i | \(0.0965406\pi\) | |||||||
\(420\) | −7.13558 | + | 0.462247i | −0.348181 | + | 0.0225553i | ||||
\(421\) | −10.6644 | − | 32.8217i | −0.519752 | − | 1.59963i | −0.774465 | − | 0.632617i | \(-0.781981\pi\) |
0.254713 | − | 0.967017i | \(-0.418019\pi\) | |||||||
\(422\) | −5.14546 | + | 32.0677i | −0.250477 | + | 1.56103i | ||||
\(423\) | 31.4568 | + | 17.3940i | 1.52948 | + | 0.845725i | ||||
\(424\) | 4.41913 | − | 0.672491i | 0.214612 | − | 0.0326591i | ||||
\(425\) | 26.1839 | − | 8.92204i | 1.27010 | − | 0.432783i | ||||
\(426\) | −2.81183 | + | 1.10274i | −0.136234 | + | 0.0534280i | ||||
\(427\) | −8.31836 | − | 6.04364i | −0.402554 | − | 0.292472i | ||||
\(428\) | −22.9456 | − | 16.8130i | −1.10912 | − | 0.812688i | ||||
\(429\) | −42.4397 | − | 18.4270i | −2.04901 | − | 0.889666i | ||||
\(430\) | 0.0556025 | + | 10.8952i | 0.00268139 | + | 0.525413i | ||||
\(431\) | −9.02357 | + | 27.7717i | −0.434650 | + | 1.33772i | 0.458795 | + | 0.888542i | \(0.348281\pi\) |
−0.893445 | + | 0.449173i | \(0.851719\pi\) | |||||||
\(432\) | −12.5451 | − | 16.5717i | −0.603576 | − | 0.797305i | ||||
\(433\) | −6.58623 | − | 2.14000i | −0.316514 | − | 0.102842i | 0.146452 | − | 0.989218i | \(-0.453215\pi\) |
−0.462966 | + | 0.886376i | \(0.653215\pi\) | |||||||
\(434\) | −1.73194 | + | 0.270726i | −0.0831357 | + | 0.0129953i | ||||
\(435\) | 26.4380 | + | 16.5601i | 1.26761 | + | 0.793997i | ||||
\(436\) | −0.00602670 | + | 1.49148i | −0.000288627 | + | 0.0714289i | ||||
\(437\) | −9.65708 | + | 7.01628i | −0.461961 | + | 0.335634i | ||||
\(438\) | −19.8432 | − | 12.6834i | −0.948144 | − | 0.606035i | ||||
\(439\) | −4.07118 | + | 5.60350i | −0.194307 | + | 0.267440i | −0.895043 | − | 0.445980i | \(-0.852855\pi\) |
0.700736 | + | 0.713421i | \(0.252855\pi\) | |||||||
\(440\) | −9.80006 | − | 30.0528i | −0.467200 | − | 1.43271i | ||||
\(441\) | 12.5925 | + | 13.4756i | 0.599641 | + | 0.641696i | ||||
\(442\) | −29.6285 | + | 29.5090i | −1.40928 | + | 1.40360i | ||||
\(443\) | − | 26.2813i | − | 1.24866i | −0.781159 | − | 0.624332i | \(-0.785371\pi\) | ||
0.781159 | − | 0.624332i | \(-0.214629\pi\) | |||||||
\(444\) | 1.86714 | − | 4.25312i | 0.0886104 | − | 0.201844i | ||||
\(445\) | −4.44716 | − | 8.57646i | −0.210816 | − | 0.406563i | ||||
\(446\) | 27.4139 | + | 4.39873i | 1.29809 | + | 0.208286i | ||||
\(447\) | −13.3520 | − | 5.79737i | −0.631530 | − | 0.274206i | ||||
\(448\) | 6.99541 | + | 2.36708i | 0.330502 | + | 0.111834i | ||||
\(449\) | 7.06911i | 0.333612i | 0.985990 | + | 0.166806i | \(0.0533453\pi\) | ||||
−0.985990 | + | 0.166806i | \(0.946655\pi\) | |||||||
\(450\) | −6.11719 | − | 20.3121i | −0.288367 | − | 0.957520i | ||||
\(451\) | − | 0.972194i | − | 0.0457788i | ||||||
\(452\) | −0.0563661 | + | 13.9494i | −0.00265124 | + | 0.656125i | ||||
\(453\) | −21.1880 | − | 9.19971i | −0.995501 | − | 0.432240i | ||||
\(454\) | 3.41964 | − | 21.3120i | 0.160492 | − | 1.00022i | ||||
\(455\) | 10.8839 | − | 1.80341i | 0.510244 | − | 0.0845450i | ||||
\(456\) | 8.08519 | + | 9.91959i | 0.378624 | + | 0.464527i | ||||
\(457\) | − | 39.0800i | − | 1.82809i | −0.405616 | − | 0.914044i | \(-0.632943\pi\) | ||
0.405616 | − | 0.914044i | \(-0.367057\pi\) | |||||||
\(458\) | −7.58602 | − | 7.61673i | −0.354471 | − | 0.355907i | ||||
\(459\) | 0.797406 | + | 28.7364i | 0.0372197 | + | 1.34130i | ||||
\(460\) | −20.1940 | − | 3.13463i | −0.941552 | − | 0.146153i | ||||
\(461\) | −20.1596 | + | 27.7474i | −0.938928 | + | 1.29232i | 0.0173453 | + | 0.999850i | \(0.494479\pi\) |
−0.956273 | + | 0.292474i | \(0.905521\pi\) | |||||||
\(462\) | 6.08660 | − | 9.52250i | 0.283174 | − | 0.443027i | ||||
\(463\) | 33.6165 | − | 24.4238i | 1.56229 | − | 1.13507i | 0.628191 | − | 0.778059i | \(-0.283795\pi\) |
0.934100 | − | 0.357012i | \(-0.116205\pi\) | |||||||
\(464\) | −18.7268 | − | 26.2182i | −0.869370 | − | 1.21715i | ||||
\(465\) | −1.94291 | − | 4.82389i | −0.0901002 | − | 0.223703i | ||||
\(466\) | 2.03121 | + | 12.9944i | 0.0940940 | + | 0.601955i | ||||
\(467\) | −6.92581 | − | 2.25033i | −0.320488 | − | 0.104133i | 0.144355 | − | 0.989526i | \(-0.453889\pi\) |
−0.464843 | + | 0.885393i | \(0.653889\pi\) | |||||||
\(468\) | 21.7997 | + | 23.5183i | 1.00769 | + | 1.08714i | ||||
\(469\) | 1.76779 | − | 5.44070i | 0.0816290 | − | 0.251228i | ||||
\(470\) | −11.8924 | − | 35.9753i | −0.548555 | − | 1.65941i | ||||
\(471\) | 7.30721 | + | 3.17274i | 0.336699 | + | 0.146192i | ||||
\(472\) | 4.21239 | + | 8.39265i | 0.193891 | + | 0.386303i | ||||
\(473\) | −13.9315 | − | 10.1218i | −0.640570 | − | 0.465401i | ||||
\(474\) | −2.81121 | − | 7.16817i | −0.129123 | − | 0.329245i | ||||
\(475\) | 4.21267 | + | 12.3631i | 0.193290 | + | 0.567257i | ||||
\(476\) | −5.97039 | − | 8.28776i | −0.273653 | − | 0.379869i | ||||
\(477\) | −2.29424 | + | 4.14910i | −0.105046 | + | 0.189974i | ||||
\(478\) | 5.62289 | + | 0.902228i | 0.257185 | + | 0.0412669i | ||||
\(479\) | 8.70449 | + | 26.7897i | 0.397718 | + | 1.22405i | 0.926824 | + | 0.375495i | \(0.122527\pi\) |
−0.529106 | + | 0.848556i | \(0.677473\pi\) | |||||||
\(480\) | −2.15346 | + | 21.8028i | −0.0982916 | + | 0.995158i | ||||
\(481\) | −2.21455 | + | 6.81570i | −0.100975 | + | 0.310769i | ||||
\(482\) | −15.2673 | + | 29.8148i | −0.695408 | + | 1.35803i | ||||
\(483\) | −3.71154 | − | 6.29345i | −0.168881 | − | 0.286362i | ||||
\(484\) | 26.5570 | + | 8.74767i | 1.20713 | + | 0.397622i | ||||
\(485\) | −3.76545 | + | 24.9219i | −0.170980 | + | 1.13164i | ||||
\(486\) | 22.0447 | + | 0.179529i | 0.999967 | + | 0.00814362i | ||||
\(487\) | 4.28512 | − | 3.11332i | 0.194177 | − | 0.141078i | −0.486449 | − | 0.873709i | \(-0.661708\pi\) |
0.680626 | + | 0.732631i | \(0.261708\pi\) | |||||||
\(488\) | −22.4111 | + | 22.1411i | −1.01450 | + | 1.00228i | ||||
\(489\) | 3.97608 | + | 17.8908i | 0.179804 | + | 0.809052i | ||||
\(490\) | −0.0992145 | − | 19.4409i | −0.00448205 | − | 0.878250i | ||||
\(491\) | 3.44005 | − | 2.49935i | 0.155247 | − | 0.112794i | −0.507450 | − | 0.861681i | \(-0.669412\pi\) |
0.662697 | + | 0.748888i | \(0.269412\pi\) | |||||||
\(492\) | −0.270859 | + | 0.616985i | −0.0122113 | + | 0.0278158i | ||||
\(493\) | 44.5630i | 2.00701i | ||||||||
\(494\) | −13.9331 | − | 13.9895i | −0.626879 | − | 0.629418i | ||||
\(495\) | 31.5984 | + | 11.2096i | 1.42024 | + | 0.503832i | ||||
\(496\) | −0.0434052 | + | 5.37084i | −0.00194895 | + | 0.241158i | ||||
\(497\) | 0.351743 | + | 1.08255i | 0.0157778 | + | 0.0485592i | ||||
\(498\) | −2.39136 | + | 9.18981i | −0.107159 | + | 0.411805i | ||||
\(499\) | − | 10.6074i | − | 0.474853i | −0.971405 | − | 0.237427i | \(-0.923696\pi\) | ||
0.971405 | − | 0.237427i | \(-0.0763040\pi\) | |||||||
\(500\) | −9.80475 | + | 20.0964i | −0.438482 | + | 0.898740i | ||||
\(501\) | −15.6321 | + | 17.6874i | −0.698391 | + | 0.790216i | ||||
\(502\) | −22.4397 | + | 11.3766i | −1.00153 | + | 0.507761i | ||||
\(503\) | 13.4727 | − | 4.37753i | 0.600716 | − | 0.195185i | 0.00715644 | − | 0.999974i | \(-0.497722\pi\) |
0.593560 | + | 0.804790i | \(0.297722\pi\) | |||||||
\(504\) | −6.51577 | + | 4.34752i | −0.290236 | + | 0.193654i | ||||
\(505\) | 4.69361 | + | 2.34955i | 0.208863 | + | 0.104554i | ||||
\(506\) | 22.8851 | − | 22.7928i | 1.01737 | − | 1.01326i | ||||
\(507\) | −20.2006 | − | 17.8533i | −0.897141 | − | 0.792891i | ||||
\(508\) | 23.9347 | − | 7.67006i | 1.06193 | − | 0.340304i | ||||
\(509\) | −16.2531 | − | 22.3704i | −0.720404 | − | 0.991552i | −0.999510 | − | 0.0312914i | \(-0.990038\pi\) |
0.279106 | − | 0.960260i | \(-0.409962\pi\) | |||||||
\(510\) | 19.9511 | − | 22.8078i | 0.883447 | − | 1.00994i | ||||
\(511\) | −5.21679 | + | 7.18030i | −0.230777 | + | 0.317638i | ||||
\(512\) | 10.6375 | − | 19.9711i | 0.470116 | − | 0.882605i | ||||
\(513\) | −13.5683 | + | 0.376507i | −0.599054 | + | 0.0166232i | ||||
\(514\) | −37.8187 | + | 19.1735i | −1.66811 | + | 0.845705i | ||||
\(515\) | −28.1000 | − | 4.24564i | −1.23823 | − | 0.187085i | ||||
\(516\) | 6.02136 | + | 10.3050i | 0.265076 | + | 0.453653i | ||||
\(517\) | 56.9546 | + | 18.5057i | 2.50486 | + | 0.813879i | ||||
\(518\) | −1.55811 | − | 0.797865i | −0.0684594 | − | 0.0350562i | ||||
\(519\) | 13.9038 | − | 8.19972i | 0.610309 | − | 0.359928i | ||||
\(520\) | −0.0359188 | − | 33.8023i | −0.00157514 | − | 1.48233i | ||||
\(521\) | −15.3766 | + | 4.99617i | −0.673662 | + | 0.218886i | −0.625819 | − | 0.779969i | \(-0.715235\pi\) |
−0.0478438 | + | 0.998855i | \(0.515235\pi\) | |||||||
\(522\) | 34.1518 | + | 1.22609i | 1.49478 | + | 0.0536643i | ||||
\(523\) | −11.0818 | − | 8.05138i | −0.484572 | − | 0.352062i | 0.318521 | − | 0.947916i | \(-0.396814\pi\) |
−0.803093 | + | 0.595854i | \(0.796814\pi\) | |||||||
\(524\) | −7.39423 | − | 10.2642i | −0.323018 | − | 0.448396i | ||||
\(525\) | −7.77864 | + | 1.84541i | −0.339488 | + | 0.0805402i | ||||
\(526\) | 3.53461 | + | 1.80998i | 0.154116 | + | 0.0789187i | ||||
\(527\) | 4.36649 | − | 6.00995i | 0.190207 | − | 0.261798i | ||||
\(528\) | −25.7601 | − | 23.1402i | −1.12107 | − | 1.00705i | ||||
\(529\) | 0.654730 | + | 2.01505i | 0.0284665 | + | 0.0876110i | ||||
\(530\) | 4.74508 | − | 1.56859i | 0.206113 | − | 0.0681350i | ||||
\(531\) | −9.77907 | − | 1.89029i | −0.424375 | − | 0.0820317i | ||||
\(532\) | 3.91318 | − | 2.81900i | 0.169658 | − | 0.122219i | ||||
\(533\) | 0.321258 | − | 0.988729i | 0.0139152 | − | 0.0428266i | ||||
\(534\) | −8.91706 | − | 5.69961i | −0.385879 | − | 0.246646i | ||||
\(535\) | −28.4394 | − | 14.2363i | −1.22954 | − | 0.615490i | ||||
\(536\) | −15.5690 | − | 8.05203i | −0.672478 | − | 0.347795i | ||||
\(537\) | 29.6308 | + | 2.83755i | 1.27866 | + | 0.122449i | ||||
\(538\) | 9.94770 | − | 1.55497i | 0.428876 | − | 0.0670393i | ||||
\(539\) | 24.8587 | + | 18.0609i | 1.07074 | + | 0.777938i | ||||
\(540\) | −16.9303 | − | 15.9174i | −0.728564 | − | 0.684978i | ||||
\(541\) | 10.4137 | − | 7.56601i | 0.447721 | − | 0.325288i | −0.340975 | − | 0.940073i | \(-0.610757\pi\) |
0.788695 | + | 0.614784i | \(0.210757\pi\) | |||||||
\(542\) | 24.5874 | − | 24.4882i | 1.05612 | − | 1.05186i | ||||
\(543\) | −0.856184 | − | 0.756693i | −0.0367424 | − | 0.0324728i | ||||
\(544\) | −28.0272 | + | 13.9258i | −1.20166 | + | 0.597063i | ||||
\(545\) | 0.272586 | + | 1.64511i | 0.0116763 | + | 0.0704687i | ||||
\(546\) | 9.33679 | − | 7.67317i | 0.399578 | − | 0.328381i | ||||
\(547\) | 4.18948 | + | 12.8939i | 0.179129 | + | 0.551304i | 0.999798 | − | 0.0201009i | \(-0.00639873\pi\) |
−0.820669 | + | 0.571405i | \(0.806399\pi\) | |||||||
\(548\) | −0.0752498 | + | 18.6227i | −0.00321451 | + | 0.795522i | ||||
\(549\) | −4.10677 | − | 33.1614i | −0.175273 | − | 1.41529i | ||||
\(550\) | −16.4285 | − | 31.2909i | −0.700512 | − | 1.33425i | ||||
\(551\) | −21.0410 | −0.896378 | ||||||||
\(552\) | −20.8738 | + | 8.08911i | −0.888449 | + | 0.344295i | ||||
\(553\) | −2.75974 | + | 0.896693i | −0.117356 | + | 0.0381313i | ||||
\(554\) | 1.95270 | − | 12.1697i | 0.0829622 | − | 0.517039i | ||||
\(555\) | 1.26179 | − | 5.03755i | 0.0535602 | − | 0.213832i | ||||
\(556\) | −6.90690 | − | 21.5532i | −0.292918 | − | 0.914060i | ||||
\(557\) | 11.1872 | 0.474018 | 0.237009 | − | 0.971508i | \(-0.423833\pi\) | ||||
0.237009 | + | 0.971508i | \(0.423833\pi\) | |||||||
\(558\) | −4.48572 | − | 3.51171i | −0.189896 | − | 0.148662i | ||||
\(559\) | −10.8237 | − | 14.8976i | −0.457794 | − | 0.630100i | ||||
\(560\) | 8.15383 | + | 1.29945i | 0.344562 | + | 0.0549117i | ||||
\(561\) | 10.3904 | + | 46.7528i | 0.438683 | + | 1.97391i | ||||
\(562\) | 4.41293 | − | 0.689803i | 0.186148 | − | 0.0290976i | ||||
\(563\) | −2.77681 | − | 3.82195i | −0.117029 | − | 0.161076i | 0.746484 | − | 0.665404i | \(-0.231741\pi\) |
−0.863513 | + | 0.504327i | \(0.831741\pi\) | |||||||
\(564\) | −30.9894 | − | 27.6122i | −1.30489 | − | 1.16268i | ||||
\(565\) | 2.54943 | + | 15.3862i | 0.107255 | + | 0.647304i | ||||
\(566\) | −1.34267 | − | 8.58960i | −0.0564368 | − | 0.361048i | ||||
\(567\) | 0.562287 | − | 8.28912i | 0.0236138 | − | 0.348110i | ||||
\(568\) | 3.44789 | − | 0.524690i | 0.144670 | − | 0.0220155i | ||||
\(569\) | −19.6288 | − | 6.37780i | −0.822884 | − | 0.267371i | −0.132839 | − | 0.991138i | \(-0.542409\pi\) |
−0.690045 | + | 0.723767i | \(0.742409\pi\) | |||||||
\(570\) | 10.7690 | + | 9.42017i | 0.451064 | + | 0.394567i | ||||
\(571\) | −16.0774 | + | 5.22386i | −0.672818 | + | 0.218612i | −0.625448 | − | 0.780266i | \(-0.715084\pi\) |
−0.0473695 | + | 0.998877i | \(0.515084\pi\) | |||||||
\(572\) | 43.0946 | + | 31.5769i | 1.80188 | + | 1.32030i | ||||
\(573\) | 2.79130 | + | 12.5598i | 0.116608 | + | 0.524694i | ||||
\(574\) | 0.226029 | + | 0.115744i | 0.00943428 | + | 0.00483104i | ||||
\(575\) | −22.8457 | + | 0.325514i | −0.952731 | + | 0.0135749i | ||||
\(576\) | 9.90120 | + | 21.8624i | 0.412550 | + | 0.910935i | ||||
\(577\) | 11.8737 | − | 16.3428i | 0.494309 | − | 0.680358i | −0.486867 | − | 0.873476i | \(-0.661860\pi\) |
0.981175 | + | 0.193119i | \(0.0618602\pi\) | |||||||
\(578\) | 19.0015 | + | 3.04890i | 0.790357 | + | 0.126818i | ||||
\(579\) | −2.01666 | − | 0.875619i | −0.0838094 | − | 0.0363895i | ||||
\(580\) | −25.5501 | − | 25.3930i | −1.06091 | − | 1.05439i | ||||
\(581\) | 3.40351 | + | 1.10587i | 0.141202 | + | 0.0458792i | ||||
\(582\) | 10.0807 | + | 25.7043i | 0.417859 | + | 1.06548i | ||||
\(583\) | −2.44087 | + | 7.51222i | −0.101090 | + | 0.311124i | ||||
\(584\) | 19.1119 | + | 19.3450i | 0.790856 | + | 0.800501i | ||||
\(585\) | 28.4317 | + | 21.8418i | 1.17551 | + | 0.903046i | ||||
\(586\) | 6.18352 | − | 3.13494i | 0.255439 | − | 0.129503i | ||||
\(587\) | −4.51243 | − | 6.21083i | −0.186248 | − | 0.256348i | 0.705675 | − | 0.708536i | \(-0.250644\pi\) |
−0.891923 | + | 0.452187i | \(0.850644\pi\) | |||||||
\(588\) | −10.7442 | − | 18.3878i | −0.443085 | − | 0.758300i | ||||
\(589\) | 2.83768 | + | 2.06170i | 0.116925 | + | 0.0849507i | ||||
\(590\) | 6.21434 | + | 8.46215i | 0.255840 | + | 0.348381i | ||||
\(591\) | 18.4998 | + | 1.77161i | 0.760981 | + | 0.0728743i | ||||
\(592\) | −3.18754 | + | 4.31353i | −0.131007 | + | 0.177285i | ||||
\(593\) | 20.3288 | 0.834805 | 0.417403 | − | 0.908722i | \(-0.362940\pi\) | ||||
0.417403 | + | 0.908722i | \(0.362940\pi\) | |||||||
\(594\) | 36.1159 | − | 6.67657i | 1.48185 | − | 0.273943i | ||||
\(595\) | −8.13246 | − | 8.01741i | −0.333398 | − | 0.328682i | ||||
\(596\) | 13.5581 | + | 9.93448i | 0.555361 | + | 0.406932i | ||||
\(597\) | −11.6009 | − | 5.03702i | −0.474792 | − | 0.206152i | ||||
\(598\) | 30.8061 | − | 15.6182i | 1.25976 | − | 0.638675i | ||||
\(599\) | 38.9972 | 1.59338 | 0.796691 | − | 0.604387i | \(-0.206582\pi\) | ||||
0.796691 | + | 0.604387i | \(0.206582\pi\) | |||||||
\(600\) | 1.70820 | + | 24.4353i | 0.0697369 | + | 0.997565i | ||||
\(601\) | −38.8308 | −1.58394 | −0.791970 | − | 0.610559i | \(-0.790945\pi\) | ||||
−0.791970 | + | 0.610559i | \(0.790945\pi\) | |||||||
\(602\) | 4.01186 | − | 2.03394i | 0.163511 | − | 0.0828974i | ||||
\(603\) | 16.8411 | − | 7.87451i | 0.685824 | − | 0.320675i | ||||
\(604\) | 21.5150 | + | 15.7648i | 0.875433 | + | 0.641460i | ||||
\(605\) | 30.9101 | + | 4.67020i | 1.25667 | + | 0.189871i | ||||
\(606\) | 5.73962 | − | 0.342411i | 0.233156 | − | 0.0139095i | ||||
\(607\) | 44.2930 | 1.79780 | 0.898899 | − | 0.438156i | \(-0.144368\pi\) | ||||
0.898899 | + | 0.438156i | \(0.144368\pi\) | |||||||
\(608\) | −6.57525 | − | 13.2335i | −0.266662 | − | 0.536687i | ||||
\(609\) | 1.22772 | − | 12.8203i | 0.0497497 | − | 0.519505i | ||||
\(610\) | −20.5574 | + | 28.6007i | −0.832346 | + | 1.15801i | ||||
\(611\) | 51.8082 | + | 37.6409i | 2.09594 | + | 1.52279i | ||||
\(612\) | 6.43155 | − | 32.5656i | 0.259980 | − | 1.31639i | ||||
\(613\) | −9.40630 | − | 12.9467i | −0.379917 | − | 0.522911i | 0.575646 | − | 0.817699i | \(-0.304751\pi\) |
−0.955562 | + | 0.294789i | \(0.904751\pi\) | |||||||
\(614\) | 24.9649 | − | 12.6568i | 1.00750 | − | 0.510786i | ||||
\(615\) | −0.183044 | + | 0.730780i | −0.00738105 | + | 0.0294679i | ||||
\(616\) | −9.28342 | + | 9.17156i | −0.374040 | + | 0.369533i | ||||
\(617\) | −12.5200 | + | 38.5326i | −0.504036 | + | 1.55126i | 0.298349 | + | 0.954457i | \(0.403564\pi\) |
−0.802385 | + | 0.596806i | \(0.796436\pi\) | |||||||
\(618\) | −28.9823 | + | 11.3662i | −1.16584 | + | 0.457217i | ||||
\(619\) | −5.37420 | − | 1.74618i | −0.216007 | − | 0.0701851i | 0.199014 | − | 0.979997i | \(-0.436226\pi\) |
−0.415022 | + | 0.909812i | \(0.636226\pi\) | |||||||
\(620\) | 0.957666 | + | 5.92812i | 0.0384608 | + | 0.238079i | ||||
\(621\) | 6.70819 | − | 22.7770i | 0.269190 | − | 0.914011i | ||||
\(622\) | 7.84906 | + | 1.25943i | 0.314719 | + | 0.0504985i | ||||
\(623\) | −2.34431 | + | 3.22666i | −0.0939226 | + | 0.129273i | ||||
\(624\) | −18.5517 | − | 32.0461i | −0.742662 | − | 1.28287i | ||||
\(625\) | −7.04487 | + | 23.9869i | −0.281795 | + | 0.959475i | ||||
\(626\) | −7.70122 | − | 3.94359i | −0.307803 | − | 0.157617i | ||||
\(627\) | −22.0750 | + | 4.90597i | −0.881590 | + | 0.195925i | ||||
\(628\) | −7.41997 | − | 5.43687i | −0.296089 | − | 0.216955i | ||||
\(629\) | 7.05522 | − | 2.29238i | 0.281310 | − | 0.0914031i | ||||
\(630\) | −6.36807 | + | 6.01190i | −0.253710 | + | 0.239520i | ||||
\(631\) | −16.7740 | − | 5.45019i | −0.667761 | − | 0.216969i | −0.0445317 | − | 0.999008i | \(-0.514180\pi\) |
−0.623229 | + | 0.782039i | \(0.714180\pi\) | |||||||
\(632\) | 1.33759 | + | 8.78966i | 0.0532063 | + | 0.349634i | ||||
\(633\) | 20.2063 | + | 34.2626i | 0.803127 | + | 1.36182i | ||||
\(634\) | 3.26159 | + | 20.8656i | 0.129534 | + | 0.828680i | ||||
\(635\) | 24.9460 | − | 12.9353i | 0.989951 | − | 0.513321i | ||||
\(636\) | 3.64200 | − | 4.08745i | 0.144415 | − | 0.162078i | ||||
\(637\) | 19.3133 | + | 26.5825i | 0.765222 | + | 1.05324i | ||||
\(638\) | 56.2508 | − | 8.79279i | 2.22699 | − | 0.348110i | ||||
\(639\) | −1.79001 | + | 3.23721i | −0.0708117 | + | 0.128062i | ||||
\(640\) | 7.98626 | − | 24.0046i | 0.315685 | − | 0.948864i | ||||
\(641\) | 10.3972 | + | 14.3106i | 0.410666 | + | 0.565233i | 0.963381 | − | 0.268137i | \(-0.0864081\pi\) |
−0.552715 | + | 0.833370i | \(0.686408\pi\) | |||||||
\(642\) | −34.7773 | + | 2.07473i | −1.37255 | + | 0.0818829i | ||||
\(643\) | −26.2783 | −1.03631 | −0.518157 | − | 0.855286i | \(-0.673382\pi\) | ||||
−0.518157 | + | 0.855286i | \(0.673382\pi\) | |||||||
\(644\) | 2.57463 | + | 8.03422i | 0.101455 | + | 0.316593i | ||||
\(645\) | 8.56630 | + | 10.2314i | 0.337298 | + | 0.402860i | ||||
\(646\) | −3.23801 | + | 20.1800i | −0.127398 | + | 0.793973i | ||||
\(647\) | −38.8411 | + | 12.6202i | −1.52700 | + | 0.496153i | −0.947755 | − | 0.318999i | \(-0.896653\pi\) |
−0.579247 | + | 0.815152i | \(0.696653\pi\) | |||||||
\(648\) | −24.7804 | − | 5.82495i | −0.973467 | − | 0.228826i | ||||
\(649\) | −16.5936 | −0.651356 | ||||||||
\(650\) | −6.36794 | − | 37.2518i | −0.249771 | − | 1.46114i | ||||
\(651\) | −1.42177 | + | 1.60870i | −0.0557235 | + | 0.0630501i | ||||
\(652\) | 0.0855122 | − | 21.1624i | 0.00334892 | − | 0.828784i | ||||
\(653\) | 4.87211 | + | 14.9948i | 0.190661 | + | 0.586793i | 1.00000 | 0.000548626i | \(-0.000174633\pi\) | |
−0.809339 | + | 0.587341i | \(0.800175\pi\) | |||||||
\(654\) | 1.15981 | + | 1.41126i | 0.0453520 | + | 0.0551848i | ||||
\(655\) | −10.0719 | − | 9.92942i | −0.393542 | − | 0.387975i | ||||
\(656\) | 0.462405 | − | 0.625749i | 0.0180539 | − | 0.0244314i | ||||
\(657\) | −28.6245 | + | 3.54491i | −1.11675 | + | 0.138300i | ||||
\(658\) | −11.0831 | + | 11.0384i | −0.432066 | + | 0.430323i | ||||
\(659\) | −31.4418 | + | 22.8438i | −1.22480 | + | 0.889868i | −0.996489 | − | 0.0837207i | \(-0.973320\pi\) |
−0.228309 | + | 0.973589i | \(0.573320\pi\) | |||||||
\(660\) | −32.7263 | − | 20.6835i | −1.27387 | − | 0.805105i | ||||
\(661\) | 5.35251 | + | 3.88883i | 0.208189 | + | 0.151258i | 0.686994 | − | 0.726663i | \(-0.258930\pi\) |
−0.478805 | + | 0.877921i | \(0.658930\pi\) | |||||||
\(662\) | −38.8024 | + | 6.06536i | −1.50810 | + | 0.235737i | ||||
\(663\) | −4.88217 | + | 50.9815i | −0.189608 | + | 1.97996i | ||||
\(664\) | 5.03707 | − | 9.73941i | 0.195476 | − | 0.377962i | ||||
\(665\) | 3.78553 | − | 3.83985i | 0.146797 | − | 0.148903i | ||||
\(666\) | −1.56270 | − | 5.46999i | −0.0605534 | − | 0.211958i | ||||
\(667\) | 11.3741 | − | 35.0059i | 0.440407 | − | 1.35543i | ||||
\(668\) | 22.1159 | − | 15.9320i | 0.855690 | − | 0.616428i | ||||
\(669\) | 29.2903 | − | 17.2738i | 1.13243 | − | 0.667845i | ||||
\(670\) | −18.6683 | − | 5.96056i | −0.721221 | − | 0.230276i | ||||
\(671\) | −17.2028 | − | 52.9446i | −0.664105 | − | 2.04391i | ||||
\(672\) | 8.44681 | − | 3.23415i | 0.325843 | − | 0.124760i | ||||
\(673\) | −17.8348 | + | 24.5475i | −0.687482 | + | 0.946237i | −0.999993 | − | 0.00367657i | \(-0.998830\pi\) |
0.312512 | + | 0.949914i | \(0.398830\pi\) | |||||||
\(674\) | 29.8482 | + | 15.2845i | 1.14971 | + | 0.588736i | ||||
\(675\) | −21.6414 | − | 14.3753i | −0.832977 | − | 0.553307i | ||||
\(676\) | 18.1958 | + | 25.2584i | 0.699838 | + | 0.971476i | ||||
\(677\) | 4.64218 | + | 3.37274i | 0.178414 | + | 0.129625i | 0.673408 | − | 0.739271i | \(-0.264830\pi\) |
−0.494994 | + | 0.868896i | \(0.664830\pi\) | |||||||
\(678\) | 10.8474 | + | 13.1992i | 0.416590 | + | 0.506911i | ||||
\(679\) | 9.89615 | − | 3.21545i | 0.379779 | − | 0.123398i | ||||
\(680\) | −28.2858 | + | 20.5968i | −1.08471 | + | 0.789852i | ||||
\(681\) | −13.4290 | − | 22.7707i | −0.514599 | − | 0.872576i | ||||
\(682\) | −8.44778 | − | 4.32588i | −0.323482 | − | 0.165647i | ||||
\(683\) | 1.67068 | + | 0.542836i | 0.0639267 | + | 0.0207711i | 0.340806 | − | 0.940134i | \(-0.389300\pi\) |
−0.276879 | + | 0.960905i | \(0.589300\pi\) | |||||||
\(684\) | 15.3763 | + | 3.03674i | 0.587928 | + | 0.116113i | ||||
\(685\) | 3.40353 | + | 20.5409i | 0.130042 | + | 0.784828i | ||||
\(686\) | −15.3094 | + | 7.76162i | −0.584517 | + | 0.296340i | ||||
\(687\) | −13.1060 | − | 1.25508i | −0.500027 | − | 0.0478843i | ||||
\(688\) | −4.15270 | − | 13.1411i | −0.158320 | − | 0.501000i | ||||
\(689\) | −4.96477 | + | 6.83342i | −0.189143 | + | 0.260332i | ||||
\(690\) | −21.4937 | + | 12.8241i | −0.818251 | + | 0.488206i | ||||
\(691\) | −8.59860 | − | 11.8350i | −0.327106 | − | 0.450223i | 0.613514 | − | 0.789684i | \(-0.289755\pi\) |
−0.940620 | + | 0.339461i | \(0.889755\pi\) | |||||||
\(692\) | −17.7496 | + | 5.68800i | −0.674738 | + | 0.216225i | ||||
\(693\) | −1.70116 | − | 13.7366i | −0.0646217 | − | 0.521809i | ||||
\(694\) | −17.7103 | + | 17.6389i | −0.672273 | + | 0.669562i | ||||
\(695\) | −11.6482 | − | 22.4639i | −0.441843 | − | 0.852104i | ||||
\(696\) | −38.1483 | − | 10.0916i | −1.44601 | − | 0.382522i | ||||
\(697\) | −1.02348 | + | 0.332547i | −0.0387669 | + | 0.0125961i | ||||
\(698\) | −42.7031 | + | 21.6497i | −1.61633 | + | 0.819454i | ||||
\(699\) | 12.0698 | + | 10.6673i | 0.456522 | + | 0.403473i | ||||
\(700\) | 9.23082 | − | 0.0942195i | 0.348892 | − | 0.00356116i | ||||
\(701\) | 8.24525i | 0.311419i | 0.987803 | + | 0.155709i | \(0.0497664\pi\) | ||||
−0.987803 | + | 0.155709i | \(0.950234\pi\) | |||||||
\(702\) | 38.9364 | + | 5.14424i | 1.46956 | + | 0.194157i | ||||
\(703\) | 1.08238 | + | 3.33122i | 0.0408227 | + | 0.125639i | ||||
\(704\) | 23.1083 | + | 32.6304i | 0.870927 | + | 1.22981i | ||||
\(705\) | −39.3275 | − | 24.6338i | −1.48116 | − | 0.927761i | ||||
\(706\) | −25.8843 | − | 25.9891i | −0.974170 | − | 0.978114i | ||||
\(707\) | − | 2.16691i | − | 0.0814952i | ||||||
\(708\) | 10.5308 | + | 4.62308i | 0.395773 | + | 0.173746i | ||||
\(709\) | 1.25716 | − | 0.913382i | 0.0472137 | − | 0.0343028i | −0.563928 | − | 0.825824i | \(-0.690710\pi\) |
0.611142 | + | 0.791521i | \(0.290710\pi\) | |||||||
\(710\) | 3.70220 | − | 1.22384i | 0.138941 | − | 0.0459299i | ||||
\(711\) | −8.25257 | − | 4.56325i | −0.309496 | − | 0.171135i | ||||
\(712\) | 8.58844 | + | 8.69319i | 0.321865 | + | 0.325791i | ||||
\(713\) | −4.96400 | + | 3.60656i | −0.185903 | + | 0.135067i | ||||
\(714\) | −12.1068 | − | 3.15040i | −0.453084 | − | 0.117901i | ||||
\(715\) | 53.4126 | + | 26.7375i | 1.99752 | + | 0.999927i | ||||
\(716\) | −32.6458 | − | 10.7533i | −1.22003 | − | 0.401869i | ||||
\(717\) | 6.00776 | − | 3.54306i | 0.224364 | − | 0.132318i | ||||
\(718\) | −9.36372 | + | 18.2859i | −0.349451 | + | 0.682424i | ||||
\(719\) | −3.04338 | + | 9.36657i | −0.113499 | + | 0.349314i | −0.991631 | − | 0.129104i | \(-0.958790\pi\) |
0.878132 | + | 0.478418i | \(0.158790\pi\) | |||||||
\(720\) | 15.0066 | + | 22.2442i | 0.559262 | + | 0.828991i | ||||
\(721\) | 3.62550 | + | 11.1582i | 0.135021 | + | 0.415551i | ||||
\(722\) | 17.0024 | + | 2.72814i | 0.632764 | + | 0.101531i | ||||
\(723\) | 8.90020 | + | 40.0475i | 0.331002 | + | 1.48938i | ||||
\(724\) | 0.771211 | + | 1.07055i | 0.0286618 | + | 0.0397867i | ||||
\(725\) | −32.9165 | − | 23.2060i | −1.22249 | − | 0.861848i | ||||
\(726\) | 31.8805 | − | 12.5029i | 1.18320 | − | 0.464025i | ||||
\(727\) | 34.9308 | + | 25.3787i | 1.29551 | + | 0.941245i | 0.999901 | − | 0.0140629i | \(-0.00447650\pi\) |
0.295612 | + | 0.955308i | \(0.404477\pi\) | |||||||
\(728\) | −12.4720 | + | 6.25989i | −0.462244 | + | 0.232007i | ||||
\(729\) | 20.9298 | − | 17.0571i | 0.775176 | − | 0.631745i | ||||
\(730\) | 24.6877 | + | 17.7449i | 0.913734 | + | 0.656768i | ||||
\(731\) | −5.89034 | + | 18.1286i | −0.217862 | + | 0.670510i | ||||
\(732\) | −3.83329 | + | 38.3931i | −0.141682 | + | 1.41905i | ||||
\(733\) | −17.0322 | − | 5.53411i | −0.629100 | − | 0.204407i | −0.0229235 | − | 0.999737i | \(-0.507297\pi\) |
−0.606176 | + | 0.795330i | \(0.707297\pi\) | |||||||
\(734\) | 2.30576 | + | 14.7508i | 0.0851070 | + | 0.544462i | ||||
\(735\) | −15.2853 | − | 18.2564i | −0.563807 | − | 0.673398i | ||||
\(736\) | 25.5709 | − | 3.78565i | 0.942554 | − | 0.139541i | ||||
\(737\) | 25.0577 | − | 18.2055i | 0.923014 | − | 0.670609i | ||||
\(738\) | 0.226696 | + | 0.793513i | 0.00834478 | + | 0.0292096i | ||||
\(739\) | −13.9636 | + | 19.2192i | −0.513659 | + | 0.706991i | −0.984531 | − | 0.175210i | \(-0.943939\pi\) |
0.470872 | + | 0.882202i | \(0.343939\pi\) | |||||||
\(740\) | −2.70590 | + | 5.35134i | −0.0994707 | + | 0.196719i | ||||
\(741\) | −24.0716 | − | 2.30518i | −0.884292 | − | 0.0846830i | ||||
\(742\) | −1.45595 | − | 1.46185i | −0.0534497 | − | 0.0536661i | ||||
\(743\) | 17.2663i | 0.633439i | 0.948519 | + | 0.316719i | \(0.102581\pi\) | ||||
−0.948519 | + | 0.316719i | \(0.897419\pi\) | |||||||
\(744\) | 4.15601 | + | 5.09894i | 0.152367 | + | 0.186936i | ||||
\(745\) | 16.8043 | + | 8.41196i | 0.615661 | + | 0.308190i | ||||
\(746\) | −6.18174 | + | 38.5260i | −0.226330 | + | 1.41054i | ||||
\(747\) | 4.92602 | + | 10.5352i | 0.180234 | + | 0.385464i | ||||
\(748\) | 0.223463 | − | 55.3022i | 0.00817060 | − | 2.02205i | ||||
\(749\) | 13.1297i | 0.479749i | ||||||||
\(750\) | 6.45754 | + | 26.6139i | 0.235796 | + | 0.971803i | ||||
\(751\) | 37.0839i | 1.35321i | 0.736346 | + | 0.676605i | \(0.236550\pi\) | ||||
−0.736346 | + | 0.676605i | \(0.763450\pi\) | |||||||
\(752\) | 27.8568 | + | 39.0005i | 1.01583 | + | 1.42220i | ||||
\(753\) | −12.2720 | + | 28.2639i | −0.447217 | + | 1.03000i | ||||
\(754\) | 60.1131 | + | 9.64551i | 2.18919 | + | 0.351269i | ||||
\(755\) | 26.6663 | + | 13.3487i | 0.970486 | + | 0.485810i | ||||
\(756\) | −2.74748 | + | 9.19161i | −0.0999249 | + | 0.334296i | ||||
\(757\) | − | 18.1624i | − | 0.660122i | −0.943960 | − | 0.330061i | \(-0.892931\pi\) | ||
0.943960 | − | 0.330061i | \(-0.107069\pi\) | |||||||
\(758\) | 6.20804 | − | 6.18300i | 0.225486 | − | 0.224577i | ||||
\(759\) | 3.77099 | − | 39.3781i | 0.136878 | − | 1.42934i | ||||
\(760\) | −9.72507 | − | 13.3555i | −0.352766 | − | 0.484457i | ||||
\(761\) | −19.2246 | + | 26.4604i | −0.696890 | + | 0.959187i | 0.303090 | + | 0.952962i | \(0.401982\pi\) |
−0.999981 | + | 0.00622543i | \(0.998018\pi\) | |||||||
\(762\) | 16.5782 | − | 25.9367i | 0.600565 | − | 0.939586i | ||||
\(763\) | 0.556944 | − | 0.404643i | 0.0201627 | − | 0.0146491i | ||||
\(764\) | 0.0600317 | − | 14.8565i | 0.00217187 | − | 0.537491i | ||||
\(765\) | 0.992334 | − | 37.0995i | 0.0358779 | − | 1.34133i | ||||
\(766\) | −40.3000 | + | 6.29945i | −1.45610 | + | 0.227608i | ||||
\(767\) | −16.8758 | − | 5.48329i | −0.609351 | − | 0.197990i | ||||
\(768\) | −5.57422 | − | 27.1464i | −0.201142 | − | 0.979562i | ||||
\(769\) | 12.1780 | − | 37.4800i | 0.439149 | − | 1.35156i | −0.449625 | − | 0.893217i | \(-0.648442\pi\) |
0.888774 | − | 0.458345i | \(-0.151558\pi\) | |||||||
\(770\) | −8.51556 | + | 11.8473i | −0.306880 | + | 0.426949i | ||||
\(771\) | −20.6826 | + | 47.6345i | −0.744865 | + | 1.71552i | ||||
\(772\) | 2.04778 | + | 1.50048i | 0.0737011 | + | 0.0540033i | ||||
\(773\) | 31.0914 | + | 22.5892i | 1.11828 | + | 0.812479i | 0.983948 | − | 0.178457i | \(-0.0571107\pi\) |
0.134333 | + | 0.990936i | \(0.457111\pi\) | |||||||
\(774\) | 13.7312 | + | 5.01297i | 0.493557 | + | 0.180187i | ||||
\(775\) | 2.16543 | + | 6.35497i | 0.0777844 | + | 0.228277i | ||||
\(776\) | −4.79645 | − | 31.5189i | −0.172183 | − | 1.13146i | ||||
\(777\) | −2.09287 | + | 0.465121i | −0.0750812 | + | 0.0166861i | ||||
\(778\) | −1.36960 | + | 8.53567i | −0.0491026 | + | 0.306019i | ||||
\(779\) | −0.157017 | − | 0.483248i | −0.00562571 | − | 0.0173142i | ||||
\(780\) | −26.4481 | − | 31.8496i | −0.946994 | − | 1.14040i | ||||
\(781\) | −1.90441 | + | 5.86118i | −0.0681452 | + | 0.209730i | ||||
\(782\) | −31.8231 | − | 16.2958i | −1.13799 | − | 0.582735i | ||||
\(783\) | 33.1653 | − | 25.5310i | 1.18523 | − | 0.912405i | ||||
\(784\) | 7.40988 | + | 23.4484i | 0.264639 | + | 0.837442i | ||||
\(785\) | −9.19652 | − | 4.60363i | −0.328238 | − | 0.164311i | ||||
\(786\) | −14.9940 | − | 3.90172i | −0.534819 | − | 0.139170i | ||||
\(787\) | −7.07645 | + | 5.14134i | −0.252248 | + | 0.183269i | −0.706723 | − | 0.707491i | \(-0.749827\pi\) |
0.454474 | + | 0.890760i | \(0.349827\pi\) | |||||||
\(788\) | −20.3822 | − | 6.71376i | −0.726087 | − | 0.239168i | ||||
\(789\) | 4.74772 | − | 1.05514i | 0.169023 | − | 0.0375639i | ||||
\(790\) | 3.11992 | + | 9.43797i | 0.111002 | + | 0.335788i | ||||
\(791\) | 5.20894 | − | 3.78452i | 0.185209 | − | 0.134562i | ||||
\(792\) | −42.3759 | − | 1.69281i | −1.50576 | − | 0.0601515i | ||||
\(793\) | − | 59.5297i | − | 2.11396i | ||||||
\(794\) | 4.29670 | − | 4.27937i | 0.152484 | − | 0.151869i | ||||
\(795\) | 3.24915 | − | 5.18723i | 0.115236 | − | 0.183972i | ||||
\(796\) | 11.7799 | + | 8.63153i | 0.417527 | + | 0.305936i | ||||
\(797\) | −9.17996 | − | 28.2530i | −0.325171 | − | 1.00077i | −0.971363 | − | 0.237599i | \(-0.923640\pi\) |
0.646192 | − | 0.763175i | \(-0.276360\pi\) | |||||||
\(798\) | 1.48751 | − | 5.71638i | 0.0526571 | − | 0.202358i | ||||
\(799\) | − | 66.2889i | − | 2.34513i | ||||||
\(800\) | 4.30879 | − | 27.9541i | 0.152339 | − | 0.988328i | ||||
\(801\) | −12.8632 | + | 1.59300i | −0.454499 | + | 0.0562859i | ||||
\(802\) | 19.7509 | + | 38.9578i | 0.697430 | + | 1.37565i | ||||
\(803\) | −45.7011 | + | 14.8492i | −1.61276 | + | 0.524017i | ||||
\(804\) | −20.9746 | + | 4.57256i | −0.739717 | + | 0.161262i | ||||
\(805\) | 4.34202 | + | 8.37369i | 0.153036 | + | 0.295134i | ||||
\(806\) | −7.16199 | − | 7.19099i | −0.252270 | − | 0.253292i | ||||
\(807\) | 8.16619 | − | 9.23989i | 0.287463 | − | 0.325259i | ||||
\(808\) | −6.55116 | − | 1.07835i | −0.230469 | − | 0.0379361i | ||||
\(809\) | −14.2454 | − | 19.6072i | −0.500843 | − | 0.689351i | 0.481499 | − | 0.876447i | \(-0.340093\pi\) |
−0.982342 | + | 0.187096i | \(0.940093\pi\) | |||||||
\(810\) | −28.4047 | − | 1.78124i | −0.998040 | − | 0.0625862i | ||||
\(811\) | −23.9705 | + | 32.9926i | −0.841718 | + | 1.15853i | 0.143909 | + | 0.989591i | \(0.454033\pi\) |
−0.985627 | + | 0.168935i | \(0.945967\pi\) | |||||||
\(812\) | −4.65261 | + | 14.1248i | −0.163275 | + | 0.495683i | ||||
\(813\) | 4.05149 | − | 42.3072i | 0.142092 | − | 1.48378i | ||||
\(814\) | −4.28569 | − | 8.45333i | −0.150213 | − | 0.296289i | ||||
\(815\) | −3.86770 | − | 23.3422i | −0.135480 | − | 0.817643i | ||||
\(816\) | −15.5493 | + | 35.0343i | −0.544336 | + | 1.22644i | ||||
\(817\) | −8.55967 | − | 2.78120i | −0.299465 | − | 0.0973020i | ||||
\(818\) | 15.9372 | − | 31.1230i | 0.557232 | − | 1.08819i | ||||
\(819\) | 2.80910 | − | 14.5323i | 0.0981578 | − | 0.507801i | ||||
\(820\) | 0.392535 | − | 0.776300i | 0.0137079 | − | 0.0271096i | ||||
\(821\) | −12.1708 | + | 3.95452i | −0.424762 | + | 0.138014i | −0.513595 | − | 0.858033i | \(-0.671686\pi\) |
0.0888323 | + | 0.996047i | \(0.471686\pi\) | |||||||
\(822\) | 14.4814 | + | 17.6211i | 0.505097 | + | 0.614608i | ||||
\(823\) | 31.3933 | + | 22.8086i | 1.09430 | + | 0.795056i | 0.980120 | − | 0.198404i | \(-0.0635757\pi\) |
0.114181 | + | 0.993460i | \(0.463576\pi\) | |||||||
\(824\) | 35.5383 | − | 5.40812i | 1.23804 | − | 0.188401i | ||||
\(825\) | −39.9448 | − | 16.6715i | −1.39070 | − | 0.580426i | ||||
\(826\) | 1.97553 | − | 3.85791i | 0.0687376 | − | 0.134234i | ||||
\(827\) | 15.7301 | − | 21.6507i | 0.546990 | − | 0.752867i | −0.442610 | − | 0.896714i | \(-0.645947\pi\) |
0.989600 | + | 0.143847i | \(0.0459473\pi\) | |||||||
\(828\) | −13.3642 | + | 23.9400i | −0.464437 | + | 0.831972i | ||||
\(829\) | 2.15107 | + | 6.62031i | 0.0747097 | + | 0.229933i | 0.981437 | − | 0.191785i | \(-0.0614275\pi\) |
−0.906727 | + | 0.421717i | \(0.861427\pi\) | |||||||
\(830\) | 3.72872 | − | 11.6783i | 0.129426 | − | 0.405359i | ||||
\(831\) | −7.66826 | − | 13.0026i | −0.266009 | − | 0.451056i | ||||
\(832\) | 12.7187 | + | 40.8215i | 0.440943 | + | 1.41523i | ||||
\(833\) | 10.5104 | − | 32.3478i | 0.364165 | − | 1.12079i | ||||
\(834\) | −23.3560 | − | 14.9287i | −0.808752 | − | 0.516939i | ||||
\(835\) | 21.3945 | − | 21.7015i | 0.740387 | − | 0.751011i | ||||
\(836\) | 26.1117 | + | 0.105511i | 0.903092 | + | 0.00364917i | ||||
\(837\) | −6.97447 | + | 0.193535i | −0.241073 | + | 0.00668954i | ||||
\(838\) | 0.0971732 | + | 0.621654i | 0.00335679 | + | 0.0214747i | ||||
\(839\) | −30.9966 | − | 22.5204i | −1.07012 | − | 0.777489i | −0.0941877 | − | 0.995554i | \(-0.530025\pi\) |
−0.975934 | + | 0.218065i | \(0.930025\pi\) | |||||||
\(840\) | 8.70499 | − | 5.14621i | 0.300351 | − | 0.177561i | ||||
\(841\) | 29.0279 | − | 21.0900i | 1.00096 | − | 0.727242i | ||||
\(842\) | 34.4410 | + | 34.5805i | 1.18692 | + | 1.19172i | ||||
\(843\) | 3.62263 | − | 4.09893i | 0.124770 | − | 0.141175i | ||||
\(844\) | −14.0167 | − | 43.7397i | −0.482476 | − | 1.50558i | ||||
\(845\) | 24.7851 | + | 24.4344i | 0.852632 | + | 0.840570i | ||||
\(846\) | −50.8020 | − | 1.82384i | −1.74661 | − | 0.0627050i | ||||
\(847\) | −3.98806 | − | 12.2740i | −0.137031 | − | 0.421739i | ||||
\(848\) | −5.14410 | + | 3.67426i | −0.176649 | + | 0.126175i | ||||
\(849\) | −7.97841 | − | 7.05130i | −0.273818 | − | 0.242000i | ||||
\(850\) | −27.3219 | + | 27.9984i | −0.937135 | + | 0.960336i | ||||
\(851\) | −6.12725 | −0.210039 | ||||||||
\(852\) | 2.84156 | − | 3.18911i | 0.0973503 | − | 0.109257i | ||||
\(853\) | 3.96080 | − | 1.28694i | 0.135615 | − | 0.0440641i | −0.240423 | − | 0.970668i | \(-0.577286\pi\) |
0.376038 | + | 0.926604i | \(0.377286\pi\) | |||||||
\(854\) | 14.3574 | + | 2.30373i | 0.491299 | + | 0.0788320i | ||||
\(855\) | 17.5170 | + | 0.468544i | 0.599070 | + | 0.0160239i | ||||
\(856\) | 39.6946 | + | 6.53388i | 1.35673 | + | 0.223323i | ||||
\(857\) | 57.3544 | 1.95919 | 0.979594 | − | 0.200987i | \(-0.0644149\pi\) | ||||
0.979594 | + | 0.200987i | \(0.0644149\pi\) | |||||||
\(858\) | 65.3160 | − | 3.89659i | 2.22985 | − | 0.133027i | ||||
\(859\) | 19.7171 | + | 27.1383i | 0.672740 | + | 0.925947i | 0.999819 | − | 0.0190503i | \(-0.00606428\pi\) |
−0.327079 | + | 0.944997i | \(0.606064\pi\) | |||||||
\(860\) | −7.03753 | − | 13.7073i | −0.239978 | − | 0.467415i | ||||
\(861\) | 0.303605 | − | 0.0674735i | 0.0103468 | − | 0.00229949i | ||||
\(862\) | −6.37774 | − | 40.8008i | −0.217227 | − | 1.38968i | ||||
\(863\) | −29.5943 | − | 40.7331i | −1.00740 | − | 1.38657i | −0.920671 | − | 0.390339i | \(-0.872358\pi\) |
−0.0867317 | − | 0.996232i | \(-0.527642\pi\) | |||||||
\(864\) | 26.4214 | + | 12.8805i | 0.898876 | + | 0.438203i | ||||
\(865\) | −18.4996 | + | 9.59260i | −0.629004 | + | 0.326158i | ||||
\(866\) | 9.67617 | − | 1.51252i | 0.328810 | − | 0.0513976i | ||||
\(867\) | 20.3021 | − | 11.9731i | 0.689494 | − | 0.406627i | ||||
\(868\) | 2.01148 | − | 1.44905i | 0.0682742 | − | 0.0491838i | ||||
\(869\) | −14.9418 | − | 4.85489i | −0.506867 | − | 0.164691i | ||||
\(870\) | −43.9382 | − | 3.98150i | −1.48964 | − | 0.134985i | ||||
\(871\) | 31.4999 | − | 10.2349i | 1.06733 | − | 0.346797i | ||||
\(872\) | −0.946187 | − | 1.88516i | −0.0320420 | − | 0.0638395i | ||||
\(873\) | 29.5929 | + | 16.3634i | 1.00157 | + | 0.553816i | ||||
\(874\) | 7.69427 | − | 15.0257i | 0.260263 | − | 0.508253i | ||||
\(875\) | 10.1570 | − | 1.83201i | 0.343370 | − | 0.0619334i | ||||
\(876\) | 33.1405 | + | 3.30884i | 1.11971 | + | 0.111795i | ||||
\(877\) | 2.26045 | − | 3.11125i | 0.0763301 | − | 0.105059i | −0.769145 | − | 0.639075i | \(-0.779318\pi\) |
0.845475 | + | 0.534015i | \(0.179318\pi\) | |||||||
\(878\) | 1.55186 | − | 9.67156i | 0.0523728 | − | 0.326399i | ||||
\(879\) | 3.38169 | − | 7.78845i | 0.114062 | − | 0.262698i | ||||
\(880\) | 31.5800 | + | 31.6406i | 1.06456 | + | 1.06660i | ||||
\(881\) | −36.9147 | − | 11.9943i | −1.24369 | − | 0.404098i | −0.388033 | − | 0.921646i | \(-0.626845\pi\) |
−0.855655 | + | 0.517547i | \(0.826845\pi\) | |||||||
\(882\) | −24.5013 | − | 8.94492i | −0.825001 | − | 0.301191i | ||||
\(883\) | 0.390534 | − | 1.20194i | 0.0131425 | − | 0.0404485i | −0.944270 | − | 0.329171i | \(-0.893231\pi\) |
0.957413 | + | 0.288723i | \(0.0932306\pi\) | |||||||
\(884\) | 18.5016 | − | 56.1689i | 0.622278 | − | 1.88917i | ||||
\(885\) | 12.4731 | + | 3.12423i | 0.419278 | + | 0.105020i | ||||
\(886\) | 16.8067 | + | 33.1505i | 0.564633 | + | 1.11371i | ||||
\(887\) | 11.2338 | + | 15.4620i | 0.377195 | + | 0.519164i | 0.954839 | − | 0.297125i | \(-0.0960278\pi\) |
−0.577644 | + | 0.816289i | \(0.696028\pi\) | |||||||
\(888\) | 0.364689 | + | 6.55877i | 0.0122382 | + | 0.220098i | ||||
\(889\) | −9.38525 | − | 6.81878i | −0.314771 | − | 0.228695i | ||||
\(890\) | 11.0941 | + | 7.97415i | 0.371875 | + | 0.267294i | ||||
\(891\) | 28.8422 | − | 34.5186i | 0.966250 | − | 1.15641i | ||||
\(892\) | −37.3920 | + | 11.9826i | −1.25198 | + | 0.401206i | ||||
\(893\) | 31.2992 | 1.04739 | ||||||||
\(894\) | 20.5492 | − | 1.22591i | 0.687269 | − | 0.0410007i | ||||
\(895\) | −37.9969 | − | 5.74096i | −1.27010 | − | 0.191899i | ||||
\(896\) | −10.3375 | + | 1.48776i | −0.345352 | + | 0.0497026i | ||||
\(897\) | 16.8475 | − | 38.8018i | 0.562521 | − | 1.29555i | ||||
\(898\) | −4.52064 | − | 8.91675i | −0.150856 | − | 0.297556i | ||||
\(899\) | −10.8157 | −0.360723 | ||||||||
\(900\) | 20.7054 | + | 21.7091i | 0.690181 | + | 0.723636i | ||||
\(901\) | 8.74340 | 0.291285 | ||||||||
\(902\) | 0.621711 | + | 1.22629i | 0.0207007 | + | 0.0408311i | ||||
\(903\) | 2.19404 | − | 5.05313i | 0.0730129 | − | 0.168158i | ||||
\(904\) | −8.84944 | − | 17.6314i | −0.294328 | − | 0.586411i | ||||
\(905\) | 1.05049 | + | 1.03563i | 0.0349195 | + | 0.0344255i | ||||
\(906\) | 32.6091 | − | 1.94537i | 1.08336 | − | 0.0646307i | ||||
\(907\) | −45.1021 | −1.49759 | −0.748796 | − | 0.662800i | \(-0.769368\pi\) | ||||
−0.748796 | + | 0.662800i | \(0.769368\pi\) | |||||||
\(908\) | 9.31543 | + | 29.0691i | 0.309144 | + | 0.964692i | ||||
\(909\) | 5.14523 | − | 4.80804i | 0.170657 | − | 0.159472i | ||||
\(910\) | −12.5753 | + | 9.23491i | −0.416867 | + | 0.306134i | ||||
\(911\) | −26.1153 | − | 18.9739i | −0.865240 | − | 0.628634i | 0.0640655 | − | 0.997946i | \(-0.479593\pi\) |
−0.929305 | + | 0.369312i | \(0.879593\pi\) | |||||||
\(912\) | −16.5419 | − | 7.34184i | −0.547757 | − | 0.243112i | ||||
\(913\) | 11.3887 | + | 15.6753i | 0.376912 | + | 0.518775i | ||||
\(914\) | 24.9914 | + | 49.2943i | 0.826642 | + | 1.63051i | ||||
\(915\) | 2.96260 | + | 43.0364i | 0.0979404 | + | 1.42274i | ||||
\(916\) | 14.4396 | + | 4.75630i | 0.477098 | + | 0.157153i | ||||
\(917\) | −1.80433 | + | 5.55315i | −0.0595841 | + | 0.183381i | ||||
\(918\) | −19.3825 | − | 35.7372i | −0.639718 | − | 1.17950i | ||||
\(919\) | 32.6892 | + | 10.6214i | 1.07832 | + | 0.350366i | 0.793721 | − | 0.608282i | \(-0.208141\pi\) |
0.284595 | + | 0.958648i | \(0.408141\pi\) | |||||||
\(920\) | 27.4767 | − | 8.96001i | 0.905879 | − | 0.295403i | ||||
\(921\) | 13.6530 | − | 31.4445i | 0.449881 | − | 1.03613i | ||||
\(922\) | 7.68450 | − | 47.8916i | 0.253076 | − | 1.57723i | ||||
\(923\) | −3.87361 | + | 5.33156i | −0.127501 | + | 0.175491i | ||||
\(924\) | −1.58787 | + | 15.9037i | −0.0522372 | + | 0.523194i | ||||
\(925\) | −1.98071 | + | 6.40509i | −0.0651253 | + | 0.210598i | ||||
\(926\) | −26.7839 | + | 52.3049i | −0.880175 | + | 1.71885i | ||||
\(927\) | −18.4501 | + | 33.3667i | −0.605981 | + | 1.09591i | ||||
\(928\) | 40.3877 | + | 21.0952i | 1.32579 | + | 0.692483i | ||||
\(929\) | −40.5197 | + | 13.1656i | −1.32941 | + | 0.431950i | −0.885715 | − | 0.464229i | \(-0.846331\pi\) |
−0.443692 | + | 0.896179i | \(0.646331\pi\) | |||||||
\(930\) | 5.53556 | + | 4.84223i | 0.181518 | + | 0.158783i | ||||
\(931\) | 15.2735 | + | 4.96265i | 0.500568 | + | 0.162644i | ||||
\(932\) | −10.8719 | − | 15.0918i | −0.356122 | − | 0.494348i | ||||
\(933\) | 8.38630 | − | 4.94579i | 0.274555 | − | 0.161918i | ||||
\(934\) | 10.1751 | − | 1.59051i | 0.332938 | − | 0.0520429i | ||||
\(935\) | −10.1072 | − | 60.9985i | −0.330540 | − | 1.99487i | ||||
\(936\) | −42.5372 | − | 15.7245i | −1.39037 | − | 0.513973i | ||||
\(937\) | 22.4653 | + | 30.9208i | 0.733909 | + | 1.01014i | 0.998946 | + | 0.0459007i | \(0.0146158\pi\) |
−0.265037 | + | 0.964238i | \(0.585384\pi\) | |||||||
\(938\) | 1.24945 | + | 7.99322i | 0.0407961 | + | 0.260988i | ||||
\(939\) | −10.3444 | + | 2.29894i | −0.337576 | + | 0.0750231i | ||||
\(940\) | 38.0066 | + | 37.7729i | 1.23964 | + | 1.23202i | ||||
\(941\) | −5.01920 | − | 6.90834i | −0.163621 | − | 0.225205i | 0.719332 | − | 0.694667i | \(-0.244448\pi\) |
−0.882953 | + | 0.469461i | \(0.844448\pi\) | |||||||
\(942\) | −11.2460 | + | 0.670909i | −0.366415 | + | 0.0218594i | ||||
\(943\) | 0.888858 | 0.0289452 | ||||||||
\(944\) | −10.6804 | − | 7.89243i | −0.347618 | − | 0.256877i | ||||
\(945\) | −1.30758 | + | 10.6458i | −0.0425357 | + | 0.346308i | ||||
\(946\) | 24.0455 | + | 3.85825i | 0.781788 | + | 0.125443i | ||||
\(947\) | 8.32894 | − | 2.70624i | 0.270654 | − | 0.0879409i | −0.170546 | − | 0.985350i | \(-0.554553\pi\) |
0.441200 | + | 0.897409i | \(0.354553\pi\) | |||||||
\(948\) | 8.12995 | + | 7.24395i | 0.264049 | + | 0.235273i | ||||
\(949\) | −51.3853 | −1.66804 | ||||||||
\(950\) | −13.2198 | − | 12.9004i | −0.428908 | − | 0.418545i | ||||
\(951\) | 19.3810 | + | 17.1288i | 0.628470 | + | 0.555441i | ||||
\(952\) | 12.8308 | + | 6.63590i | 0.415849 | + | 0.215071i | ||||
\(953\) | −10.1674 | − | 31.2920i | −0.329354 | − | 1.01365i | −0.969437 | − | 0.245341i | \(-0.921100\pi\) |
0.640083 | − | 0.768306i | \(-0.278900\pi\) | |||||||
\(954\) | 0.240562 | − | 6.70070i | 0.00778848 | − | 0.216943i | ||||
\(955\) | −2.71522 | − | 16.3868i | −0.0878624 | − | 0.530265i | ||||
\(956\) | −7.66951 | + | 2.45776i | −0.248050 | + | 0.0794895i | ||||
\(957\) | 46.1769 | − | 52.2483i | 1.49269 | − | 1.68895i | ||||
\(958\) | −28.1113 | − | 28.2252i | −0.908236 | − | 0.911914i | ||||
\(959\) | 6.95403 | − | 5.05240i | 0.224557 | − | 0.163151i | ||||
\(960\) | −11.2264 | − | 28.8785i | −0.362331 | − | 0.932049i | ||||
\(961\) | −23.6209 | − | 17.1616i | −0.761964 | − | 0.553599i | ||||
\(962\) | −1.56522 | − | 10.0133i | −0.0504647 | − | 0.322841i | ||||
\(963\) | −31.1759 | + | 29.1327i | −1.00463 | + | 0.938789i | ||||
\(964\) | 0.191414 | − | 47.3707i | 0.00616502 | − | 1.52571i | ||||
\(965\) | 2.53807 | + | 1.27052i | 0.0817034 | + | 0.0408995i | ||||
\(966\) | 8.70624 | + | 5.56486i | 0.280119 | + | 0.179046i | ||||
\(967\) | −2.44338 | + | 7.51995i | −0.0785738 | + | 0.241825i | −0.982626 | − | 0.185597i | \(-0.940578\pi\) |
0.904052 | + | 0.427422i | \(0.140578\pi\) | |||||||
\(968\) | −39.0922 | + | 5.94894i | −1.25647 | + | 0.191206i | ||||
\(969\) | 12.7157 | + | 21.5613i | 0.408487 | + | 0.692648i | ||||
\(970\) | −11.1877 | − | 33.8436i | −0.359216 | − | 1.08665i | ||||
\(971\) | −8.89372 | − | 27.3721i | −0.285413 | − | 0.878411i | −0.986275 | − | 0.165114i | \(-0.947201\pi\) |
0.700861 | − | 0.713297i | \(-0.252799\pi\) | |||||||
\(972\) | −27.9213 | + | 13.8710i | −0.895575 | + | 0.444911i | ||||
\(973\) | −6.14032 | + | 8.45143i | −0.196850 | + | 0.270940i | ||||
\(974\) | −3.41417 | + | 6.66735i | −0.109397 | + | 0.213636i | ||||
\(975\) | −35.1151 | − | 30.1546i | −1.12458 | − | 0.965720i | ||||
\(976\) | 14.1096 | − | 42.2598i | 0.451638 | − | 1.35270i | ||||
\(977\) | −13.9480 | − | 10.1338i | −0.446235 | − | 0.324209i | 0.341872 | − | 0.939746i | \(-0.388939\pi\) |
−0.788108 | + | 0.615537i | \(0.788939\pi\) | |||||||
\(978\) | −16.4564 | − | 20.0243i | −0.526216 | − | 0.640305i | ||||
\(979\) | −20.5370 | + | 6.67288i | −0.656366 | + | 0.213266i | ||||
\(980\) | 12.5574 | + | 24.4587i | 0.401133 | + | 0.781304i | ||||
\(981\) | 2.19658 | + | 0.424598i | 0.0701313 | + | 0.0135564i | ||||
\(982\) | −2.74086 | + | 5.35248i | −0.0874644 | + | 0.170805i | ||||
\(983\) | 23.5890 | + | 7.66453i | 0.752372 | + | 0.244461i | 0.660002 | − | 0.751264i | \(-0.270556\pi\) |
0.0923706 | + | 0.995725i | \(0.470556\pi\) | |||||||
\(984\) | −0.0529042 | − | 0.951458i | −0.00168652 | − | 0.0303314i | ||||
\(985\) | −23.7232 | − | 3.58434i | −0.755883 | − | 0.114207i | ||||
\(986\) | −28.4977 | − | 56.2103i | −0.907551 | − | 1.79010i | ||||
\(987\) | −1.82627 | + | 19.0706i | −0.0581309 | + | 0.607025i | ||||
\(988\) | 26.5209 | + | 8.73581i | 0.843743 | + | 0.277923i | ||||
\(989\) | 9.25417 | − | 12.7373i | 0.294266 | − | 0.405022i | ||||
\(990\) | −47.0256 | + | 6.06756i | −1.49457 | + | 0.192840i | ||||
\(991\) | −5.57258 | − | 7.67000i | −0.177019 | − | 0.243646i | 0.711283 | − | 0.702906i | \(-0.248115\pi\) |
−0.888302 | + | 0.459260i | \(0.848115\pi\) | |||||||
\(992\) | −3.37986 | − | 6.80236i | −0.107311 | − | 0.215975i | ||||
\(993\) | −31.8533 | + | 36.0414i | −1.01084 | + | 1.14374i | ||||
\(994\) | −1.13596 | − | 1.14056i | −0.0360305 | − | 0.0361764i | ||||
\(995\) | 14.6003 | + | 7.30869i | 0.462861 | + | 0.231701i | ||||
\(996\) | −2.86043 | − | 13.1210i | −0.0906363 | − | 0.415754i | ||||
\(997\) | 0.0313766 | − | 0.0101949i | 0.000993707 | − | 0.000322875i | −0.308520 | − | 0.951218i | \(-0.599834\pi\) |
0.309514 | + | 0.950895i | \(0.399834\pi\) | |||||||
\(998\) | 6.78337 | + | 13.3799i | 0.214724 | + | 0.423532i | ||||
\(999\) | −5.74815 | − | 3.93739i | −0.181863 | − | 0.124573i |
(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 | 300.2.r.a.59.10 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.47 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.31 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.26 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.26 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.31 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.47 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.10 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.10 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.26 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.31 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.47 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.10 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.26 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.31 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.47 | yes | 224 | 100.39 | odd | 10 | inner |