Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(45,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.v (of order \(12\), 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: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 197.34 | ||
Character | \(\chi\) | \(=\) | 304.197 |
Dual form | 304.2.v.a.125.34 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32483 | − | 0.494789i | 0.936799 | − | 0.349869i | ||||
\(3\) | 0.514836 | + | 0.137950i | 0.297240 | + | 0.0796453i | 0.404357 | − | 0.914601i | \(-0.367495\pi\) |
−0.107117 | + | 0.994246i | \(0.534162\pi\) | |||||||
\(4\) | 1.51037 | − | 1.31103i | 0.755184 | − | 0.655513i | ||||
\(5\) | 0.425723 | − | 1.58882i | 0.190389 | − | 0.710541i | −0.803023 | − | 0.595947i | \(-0.796777\pi\) |
0.993412 | − | 0.114594i | \(-0.0365567\pi\) | |||||||
\(6\) | 0.750327 | − | 0.0719746i | 0.306320 | − | 0.0293835i | ||||
\(7\) | 0.191074i | 0.0722191i | 0.999348 | + | 0.0361096i | \(0.0114965\pi\) | ||||
−0.999348 | + | 0.0361096i | \(0.988503\pi\) | |||||||
\(8\) | 1.35230 | − | 2.48421i | 0.478111 | − | 0.878299i | ||||
\(9\) | −2.35205 | − | 1.35796i | −0.784017 | − | 0.452652i | ||||
\(10\) | −0.222119 | − | 2.31556i | −0.0702401 | − | 0.732245i | ||||
\(11\) | −2.27261 | − | 2.27261i | −0.685218 | − | 0.685218i | 0.275953 | − | 0.961171i | \(-0.411007\pi\) |
−0.961171 | + | 0.275953i | \(0.911007\pi\) | |||||||
\(12\) | 0.958447 | − | 0.466608i | 0.276680 | − | 0.134698i | ||||
\(13\) | 1.44896 | + | 5.40759i | 0.401869 | + | 1.49980i | 0.809758 | + | 0.586764i | \(0.199598\pi\) |
−0.407889 | + | 0.913031i | \(0.633735\pi\) | |||||||
\(14\) | 0.0945412 | + | 0.253141i | 0.0252672 | + | 0.0676548i | ||||
\(15\) | 0.438354 | − | 0.759252i | 0.113183 | − | 0.196038i | ||||
\(16\) | 0.562419 | − | 3.96026i | 0.140605 | − | 0.990066i | ||||
\(17\) | 3.39065 | + | 5.87278i | 0.822353 | + | 1.42436i | 0.903925 | + | 0.427690i | \(0.140673\pi\) |
−0.0815718 | + | 0.996667i | \(0.525994\pi\) | |||||||
\(18\) | −3.78798 | − | 0.635298i | −0.892835 | − | 0.149741i | ||||
\(19\) | 1.41338 | + | 4.12339i | 0.324252 | + | 0.945971i | ||||
\(20\) | −1.43999 | − | 2.95783i | −0.321991 | − | 0.661392i | ||||
\(21\) | −0.0263586 | + | 0.0983716i | −0.00575192 | + | 0.0214664i | ||||
\(22\) | −4.13530 | − | 1.88637i | −0.881648 | − | 0.402175i | ||||
\(23\) | −0.00874195 | − | 0.00504717i | −0.00182282 | − | 0.00105241i | 0.499088 | − | 0.866551i | \(-0.333668\pi\) |
−0.500911 | + | 0.865499i | \(0.667002\pi\) | |||||||
\(24\) | 1.03891 | − | 1.09241i | 0.212067 | − | 0.222987i | ||||
\(25\) | 1.98702 | + | 1.14721i | 0.397405 | + | 0.229442i | ||||
\(26\) | 4.59525 | + | 6.44723i | 0.901202 | + | 1.26440i | ||||
\(27\) | −2.15425 | − | 2.15425i | −0.414585 | − | 0.414585i | ||||
\(28\) | 0.250503 | + | 0.288592i | 0.0473406 | + | 0.0545387i | ||||
\(29\) | −1.55646 | − | 5.80879i | −0.289027 | − | 1.07867i | −0.945846 | − | 0.324616i | \(-0.894765\pi\) |
0.656818 | − | 0.754049i | \(-0.271902\pi\) | |||||||
\(30\) | 0.205077 | − | 1.22278i | 0.0374417 | − | 0.223247i | ||||
\(31\) | −6.57597 | −1.18108 | −0.590539 | − | 0.807009i | \(-0.701085\pi\) | ||||
−0.590539 | + | 0.807009i | \(0.701085\pi\) | |||||||
\(32\) | −1.21438 | − | 5.52497i | −0.214675 | − | 0.976686i | ||||
\(33\) | −0.856515 | − | 1.48353i | −0.149100 | − | 0.258249i | ||||
\(34\) | 7.39783 | + | 6.10280i | 1.26872 | + | 1.04662i | ||||
\(35\) | 0.303582 | + | 0.0813444i | 0.0513147 | + | 0.0137497i | ||||
\(36\) | −5.33278 | + | 1.03259i | −0.888796 | + | 0.172098i | ||||
\(37\) | 0.615729 | + | 0.615729i | 0.101225 | + | 0.101225i | 0.755906 | − | 0.654681i | \(-0.227197\pi\) |
−0.654681 | + | 0.755906i | \(0.727197\pi\) | |||||||
\(38\) | 3.91270 | + | 4.76348i | 0.634724 | + | 0.772739i | ||||
\(39\) | 2.98390i | 0.477807i | ||||||||
\(40\) | −3.37124 | − | 3.20615i | −0.533041 | − | 0.506936i | ||||
\(41\) | 5.18775 | − | 2.99515i | 0.810191 | − | 0.467764i | −0.0368312 | − | 0.999322i | \(-0.511726\pi\) |
0.847022 | + | 0.531557i | \(0.178393\pi\) | |||||||
\(42\) | 0.0137525 | + | 0.143368i | 0.00212205 | + | 0.0221221i | ||||
\(43\) | −1.12939 | + | 4.21495i | −0.172231 | + | 0.642774i | 0.824776 | + | 0.565459i | \(0.191301\pi\) |
−0.997007 | + | 0.0773142i | \(0.975366\pi\) | |||||||
\(44\) | −6.41193 | − | 0.453024i | −0.966635 | − | 0.0682960i | ||||
\(45\) | −3.15887 | + | 3.15887i | −0.470896 | + | 0.470896i | ||||
\(46\) | −0.0140789 | − | 0.00236123i | −0.00207582 | − | 0.000348145i | ||||
\(47\) | −6.37448 | + | 11.0409i | −0.929814 | + | 1.61049i | −0.146184 | + | 0.989257i | \(0.546699\pi\) |
−0.783630 | + | 0.621228i | \(0.786634\pi\) | |||||||
\(48\) | 0.835871 | − | 1.96130i | 0.120648 | − | 0.283089i | ||||
\(49\) | 6.96349 | 0.994784 | ||||||||
\(50\) | 3.20010 | + | 0.536702i | 0.452563 | + | 0.0759012i | ||||
\(51\) | 0.935479 | + | 3.49125i | 0.130993 | + | 0.488873i | ||||
\(52\) | 9.27795 | + | 6.26782i | 1.28662 | + | 0.869190i | ||||
\(53\) | −3.41532 | + | 0.915132i | −0.469130 | + | 0.125703i | −0.485637 | − | 0.874161i | \(-0.661412\pi\) |
0.0165066 | + | 0.999864i | \(0.494746\pi\) | |||||||
\(54\) | −3.91992 | − | 1.78812i | −0.533433 | − | 0.243332i | ||||
\(55\) | −4.57827 | + | 2.64327i | −0.617334 | + | 0.356418i | ||||
\(56\) | 0.474667 | + | 0.258390i | 0.0634300 | + | 0.0345288i | ||||
\(57\) | 0.158838 | + | 2.31784i | 0.0210386 | + | 0.307006i | ||||
\(58\) | −4.93618 | − | 6.92556i | −0.648152 | − | 0.909370i | ||||
\(59\) | 2.62929 | − | 9.81263i | 0.342304 | − | 1.27750i | −0.553426 | − | 0.832898i | \(-0.686680\pi\) |
0.895730 | − | 0.444598i | \(-0.146653\pi\) | |||||||
\(60\) | −0.333323 | − | 1.72144i | −0.0430319 | − | 0.222237i | ||||
\(61\) | −2.33667 | − | 8.72057i | −0.299180 | − | 1.11655i | −0.937841 | − | 0.347066i | \(-0.887178\pi\) |
0.638661 | − | 0.769488i | \(-0.279489\pi\) | |||||||
\(62\) | −8.71206 | + | 3.25372i | −1.10643 | + | 0.413223i | ||||
\(63\) | 0.259470 | − | 0.449415i | 0.0326901 | − | 0.0566210i | ||||
\(64\) | −4.34255 | − | 6.71880i | −0.542819 | − | 0.839850i | ||||
\(65\) | 9.20853 | 1.14218 | ||||||||
\(66\) | −1.86877 | − | 1.54163i | −0.230030 | − | 0.189762i | ||||
\(67\) | 0.547979 | + | 2.04509i | 0.0669463 | + | 0.249847i | 0.991287 | − | 0.131722i | \(-0.0420506\pi\) |
−0.924340 | + | 0.381569i | \(0.875384\pi\) | |||||||
\(68\) | 12.8205 | + | 4.42482i | 1.55471 | + | 0.536588i | ||||
\(69\) | −0.00380441 | − | 0.00380441i | −0.000457997 | − | 0.000457997i | ||||
\(70\) | 0.442443 | − | 0.0424410i | 0.0528821 | − | 0.00507268i | ||||
\(71\) | −11.9185 | + | 6.88113i | −1.41446 | + | 0.816640i | −0.995805 | − | 0.0915037i | \(-0.970833\pi\) |
−0.418658 | + | 0.908144i | \(0.637499\pi\) | |||||||
\(72\) | −6.55413 | + | 4.00661i | −0.772412 | + | 0.472183i | ||||
\(73\) | −13.0545 | + | 7.53703i | −1.52792 | + | 0.882143i | −0.528468 | + | 0.848954i | \(0.677233\pi\) |
−0.999449 | + | 0.0331896i | \(0.989433\pi\) | |||||||
\(74\) | 1.12039 | + | 0.511082i | 0.130243 | + | 0.0594121i | ||||
\(75\) | 0.864733 | + | 0.864733i | 0.0998508 | + | 0.0998508i | ||||
\(76\) | 7.54060 | + | 4.37486i | 0.864966 | + | 0.501830i | ||||
\(77\) | 0.434237 | − | 0.434237i | 0.0494858 | − | 0.0494858i | ||||
\(78\) | 1.47640 | + | 3.95317i | 0.167170 | + | 0.447609i | ||||
\(79\) | −6.82620 | − | 11.8233i | −0.768008 | − | 1.33023i | −0.938642 | − | 0.344894i | \(-0.887915\pi\) |
0.170634 | − | 0.985334i | \(-0.445418\pi\) | |||||||
\(80\) | −6.05270 | − | 2.57956i | −0.676713 | − | 0.288403i | ||||
\(81\) | 3.26197 | + | 5.64989i | 0.362441 | + | 0.627766i | ||||
\(82\) | 5.39094 | − | 6.53492i | 0.595330 | − | 0.721661i | ||||
\(83\) | 8.97442 | − | 8.97442i | 0.985071 | − | 0.985071i | −0.0148196 | − | 0.999890i | \(-0.504717\pi\) |
0.999890 | + | 0.0148196i | \(0.00471739\pi\) | |||||||
\(84\) | 0.0891566 | + | 0.183134i | 0.00972778 | + | 0.0199816i | ||||
\(85\) | 10.7743 | − | 2.88695i | 1.16863 | − | 0.313134i | ||||
\(86\) | 0.589255 | + | 6.14292i | 0.0635410 | + | 0.662408i | ||||
\(87\) | − | 3.20528i | − | 0.343643i | ||||||
\(88\) | −8.71889 | + | 2.57237i | −0.929437 | + | 0.274216i | ||||
\(89\) | −1.48669 | − | 0.858343i | −0.157589 | − | 0.0909842i | 0.419132 | − | 0.907926i | \(-0.362335\pi\) |
−0.576721 | + | 0.816941i | \(0.695668\pi\) | |||||||
\(90\) | −2.62200 | + | 5.74795i | −0.276383 | + | 0.605887i | ||||
\(91\) | −1.03325 | + | 0.276858i | −0.108314 | + | 0.0290226i | ||||
\(92\) | −0.0198205 | + | 0.00383785i | −0.00206643 | + | 0.000400124i | ||||
\(93\) | −3.38554 | − | 0.907153i | −0.351064 | − | 0.0940674i | ||||
\(94\) | −2.98220 | + | 17.7814i | −0.307590 | + | 1.83401i | ||||
\(95\) | 7.15303 | − | 0.490184i | 0.733885 | − | 0.0502918i | ||||
\(96\) | 0.136960 | − | 3.01197i | 0.0139784 | − | 0.307408i | ||||
\(97\) | 2.48158 | + | 4.29822i | 0.251966 | + | 0.436418i | 0.964067 | − | 0.265659i | \(-0.0855896\pi\) |
−0.712101 | + | 0.702077i | \(0.752256\pi\) | |||||||
\(98\) | 9.22547 | − | 3.44546i | 0.931913 | − | 0.348044i | ||||
\(99\) | 2.25919 | + | 8.43141i | 0.227057 | + | 0.847388i | ||||
\(100\) | 4.50515 | − | 0.872334i | 0.450515 | − | 0.0872334i | ||||
\(101\) | 6.61506 | − | 1.77250i | 0.658223 | − | 0.176370i | 0.0857793 | − | 0.996314i | \(-0.472662\pi\) |
0.572444 | + | 0.819944i | \(0.305995\pi\) | |||||||
\(102\) | 2.96679 | + | 4.16247i | 0.293756 | + | 0.412146i | ||||
\(103\) | − | 7.75787i | − | 0.764405i | −0.924079 | − | 0.382203i | \(-0.875166\pi\) | ||
0.924079 | − | 0.382203i | \(-0.124834\pi\) | |||||||
\(104\) | 15.3930 | + | 3.71319i | 1.50941 | + | 0.364108i | ||||
\(105\) | 0.145073 | + | 0.0837580i | 0.0141577 | + | 0.00817395i | ||||
\(106\) | −4.07193 | + | 2.90226i | −0.395501 | + | 0.281892i | ||||
\(107\) | −3.32392 | − | 3.32392i | −0.321336 | − | 0.321336i | 0.527944 | − | 0.849279i | \(-0.322963\pi\) |
−0.849279 | + | 0.527944i | \(0.822963\pi\) | |||||||
\(108\) | −6.07798 | − | 0.429429i | −0.584854 | − | 0.0413219i | ||||
\(109\) | 1.96804 | + | 0.527335i | 0.188504 | + | 0.0505095i | 0.351836 | − | 0.936062i | \(-0.385557\pi\) |
−0.163332 | + | 0.986571i | \(0.552224\pi\) | |||||||
\(110\) | −4.75759 | + | 5.76716i | −0.453618 | + | 0.549878i | ||||
\(111\) | 0.232059 | + | 0.401939i | 0.0220261 | + | 0.0381503i | ||||
\(112\) | 0.756703 | + | 0.107464i | 0.0715017 | + | 0.0101543i | ||||
\(113\) | −2.14429 | −0.201718 | −0.100859 | − | 0.994901i | \(-0.532159\pi\) | ||||
−0.100859 | + | 0.994901i | \(0.532159\pi\) | |||||||
\(114\) | 1.35728 | + | 2.99217i | 0.127121 | + | 0.280242i | ||||
\(115\) | −0.0117407 | + | 0.0117407i | −0.00109482 | + | 0.00109482i | ||||
\(116\) | −9.96630 | − | 6.73284i | −0.925348 | − | 0.625129i | ||||
\(117\) | 3.93525 | − | 14.6865i | 0.363814 | − | 1.35777i | ||||
\(118\) | −1.37182 | − | 14.3010i | −0.126286 | − | 1.31652i | ||||
\(119\) | −1.12213 | + | 0.647864i | −0.102866 | + | 0.0593896i | ||||
\(120\) | −1.29335 | − | 2.11570i | −0.118066 | − | 0.193136i | ||||
\(121\) | − | 0.670472i | − | 0.0609520i | ||||||
\(122\) | −7.41054 | − | 10.3971i | −0.670919 | − | 0.941313i | ||||
\(123\) | 3.08402 | − | 0.826361i | 0.278077 | − | 0.0745105i | ||||
\(124\) | −9.93213 | + | 8.62127i | −0.891931 | + | 0.774213i | ||||
\(125\) | 8.48411 | − | 8.48411i | 0.758841 | − | 0.758841i | ||||
\(126\) | 0.121389 | − | 0.723783i | 0.0108142 | − | 0.0644797i | ||||
\(127\) | −0.113605 | + | 0.196769i | −0.0100808 | + | 0.0174605i | −0.871022 | − | 0.491244i | \(-0.836542\pi\) |
0.860941 | + | 0.508705i | \(0.169876\pi\) | |||||||
\(128\) | −9.07755 | − | 6.75264i | −0.802349 | − | 0.596855i | ||||
\(129\) | −1.16290 | + | 2.01421i | −0.102388 | + | 0.177341i | ||||
\(130\) | 12.1998 | − | 4.55628i | 1.06999 | − | 0.399612i | ||||
\(131\) | −11.9927 | − | 3.21343i | −1.04781 | − | 0.280759i | −0.306461 | − | 0.951883i | \(-0.599145\pi\) |
−0.741345 | + | 0.671124i | \(0.765812\pi\) | |||||||
\(132\) | −3.23860 | − | 1.11776i | −0.281884 | − | 0.0972883i | ||||
\(133\) | −0.787872 | + | 0.270060i | −0.0683172 | + | 0.0234172i | ||||
\(134\) | 1.73787 | + | 2.43827i | 0.150129 | + | 0.210634i | ||||
\(135\) | −4.33982 | + | 2.50560i | −0.373512 | + | 0.215647i | ||||
\(136\) | 19.1744 | − | 0.481293i | 1.64419 | − | 0.0412705i | ||||
\(137\) | 16.2088 | + | 9.35813i | 1.38481 | + | 0.799519i | 0.992724 | − | 0.120411i | \(-0.0384213\pi\) |
0.392083 | + | 0.919930i | \(0.371755\pi\) | |||||||
\(138\) | −0.00692259 | − | 0.00315783i | −0.000589290 | − | 0.000268812i | ||||
\(139\) | 6.38980 | − | 1.71214i | 0.541976 | − | 0.145222i | 0.0225630 | − | 0.999745i | \(-0.492817\pi\) |
0.519413 | + | 0.854523i | \(0.326151\pi\) | |||||||
\(140\) | 0.565164 | − | 0.275144i | 0.0477651 | − | 0.0232539i | ||||
\(141\) | −4.80490 | + | 4.80490i | −0.404646 | + | 0.404646i | ||||
\(142\) | −12.3853 | + | 15.0135i | −1.03935 | + | 1.25990i | ||||
\(143\) | 8.99643 | − | 15.5823i | 0.752319 | − | 1.30305i | ||||
\(144\) | −6.70071 | + | 8.55100i | −0.558392 | + | 0.712583i | ||||
\(145\) | −9.89173 | −0.821464 | ||||||||
\(146\) | −13.5658 | + | 16.4446i | −1.12272 | + | 1.36096i | ||||
\(147\) | 3.58505 | + | 0.960612i | 0.295690 | + | 0.0792299i | ||||
\(148\) | 1.73721 | + | 0.122740i | 0.142798 | + | 0.0100892i | ||||
\(149\) | 4.20577 | − | 15.6961i | 0.344550 | − | 1.28588i | −0.548587 | − | 0.836093i | \(-0.684834\pi\) |
0.893137 | − | 0.449784i | \(-0.148499\pi\) | |||||||
\(150\) | 1.57349 | + | 0.717767i | 0.128475 | + | 0.0586054i | ||||
\(151\) | 12.5151i | 1.01846i | 0.860629 | + | 0.509232i | \(0.170070\pi\) | ||||
−0.860629 | + | 0.509232i | \(0.829930\pi\) | |||||||
\(152\) | 12.1547 | + | 2.06495i | 0.985874 | + | 0.167490i | ||||
\(153\) | − | 18.4174i | − | 1.48896i | ||||||
\(154\) | 0.360436 | − | 0.790147i | 0.0290447 | − | 0.0636718i | ||||
\(155\) | −2.79954 | + | 10.4480i | −0.224864 | + | 0.839205i | ||||
\(156\) | 3.91198 | + | 4.50679i | 0.313209 | + | 0.360832i | ||||
\(157\) | −9.55645 | − | 2.56064i | −0.762688 | − | 0.204362i | −0.143549 | − | 0.989643i | \(-0.545852\pi\) |
−0.619139 | + | 0.785282i | \(0.712518\pi\) | |||||||
\(158\) | −14.8936 | − | 12.2864i | −1.18487 | − | 0.977454i | ||||
\(159\) | −1.88457 | −0.149456 | ||||||||
\(160\) | −9.29516 | − | 0.422668i | −0.734847 | − | 0.0334148i | ||||
\(161\) | 0.000964381 | − | 0.00167036i | 7.60039e−5 | − | 0.000131643i | ||||
\(162\) | 7.11707 | + | 5.87118i | 0.559170 | + | 0.461283i | ||||
\(163\) | 5.70770 | − | 5.70770i | 0.447061 | − | 0.447061i | −0.447315 | − | 0.894376i | \(-0.647620\pi\) |
0.894376 | + | 0.447315i | \(0.147620\pi\) | |||||||
\(164\) | 3.90869 | − | 11.3251i | 0.305218 | − | 0.884339i | ||||
\(165\) | −2.72169 | + | 0.729276i | −0.211884 | + | 0.0567740i | ||||
\(166\) | 7.44917 | − | 16.3301i | 0.578167 | − | 1.26746i | ||||
\(167\) | −3.64518 | − | 2.10454i | −0.282072 | − | 0.162855i | 0.352289 | − | 0.935891i | \(-0.385403\pi\) |
−0.634361 | + | 0.773037i | \(0.718737\pi\) | |||||||
\(168\) | 0.208730 | + | 0.198508i | 0.0161039 | + | 0.0153153i | ||||
\(169\) | −15.8842 | + | 9.17075i | −1.22186 | + | 0.705442i | ||||
\(170\) | 12.8457 | − | 9.15572i | 0.985217 | − | 0.702211i | ||||
\(171\) | 2.27505 | − | 11.6177i | 0.173977 | − | 0.888430i | ||||
\(172\) | 3.82011 | + | 7.84678i | 0.291281 | + | 0.598312i | ||||
\(173\) | 7.07021 | + | 1.89446i | 0.537538 | + | 0.144033i | 0.517367 | − | 0.855764i | \(-0.326912\pi\) |
0.0201713 | + | 0.999797i | \(0.493579\pi\) | |||||||
\(174\) | −1.58594 | − | 4.24647i | −0.120230 | − | 0.321924i | ||||
\(175\) | −0.219201 | + | 0.379668i | −0.0165701 | + | 0.0287002i | ||||
\(176\) | −10.2783 | + | 7.72198i | −0.774756 | + | 0.582066i | ||||
\(177\) | 2.70730 | − | 4.68918i | 0.203493 | − | 0.352461i | ||||
\(178\) | −2.39432 | − | 0.401562i | −0.179462 | − | 0.0300983i | ||||
\(179\) | 7.40496 | − | 7.40496i | 0.553472 | − | 0.553472i | −0.373969 | − | 0.927441i | \(-0.622003\pi\) |
0.927441 | + | 0.373969i | \(0.122003\pi\) | |||||||
\(180\) | −0.629691 | + | 8.91241i | −0.0469344 | + | 0.664292i | ||||
\(181\) | −19.8214 | + | 5.31114i | −1.47332 | + | 0.394774i | −0.904067 | − | 0.427391i | \(-0.859433\pi\) |
−0.569249 | + | 0.822165i | \(0.692766\pi\) | |||||||
\(182\) | −1.23190 | + | 0.878031i | −0.0913142 | + | 0.0650840i | ||||
\(183\) | − | 4.81200i | − | 0.355713i | ||||||
\(184\) | −0.0243600 | + | 0.0148915i | −0.00179584 | + | 0.00109782i | ||||
\(185\) | 1.24041 | − | 0.716151i | 0.0911968 | − | 0.0526525i | ||||
\(186\) | −4.93413 | + | 0.473303i | −0.361788 | + | 0.0347042i | ||||
\(187\) | 5.64091 | − | 21.0522i | 0.412504 | − | 1.53949i | ||||
\(188\) | 4.84714 | + | 25.0330i | 0.353514 | + | 1.82572i | ||||
\(189\) | 0.411620 | − | 0.411620i | 0.0299410 | − | 0.0299410i | ||||
\(190\) | 9.23403 | − | 4.18865i | 0.669907 | − | 0.303877i | ||||
\(191\) | −4.98447 | −0.360663 | −0.180332 | − | 0.983606i | \(-0.557717\pi\) | ||||
−0.180332 | + | 0.983606i | \(0.557717\pi\) | |||||||
\(192\) | −1.30884 | − | 4.05813i | −0.0944576 | − | 0.292870i | ||||
\(193\) | 3.91454 | + | 6.78018i | 0.281774 | + | 0.488048i | 0.971822 | − | 0.235716i | \(-0.0757437\pi\) |
−0.690047 | + | 0.723764i | \(0.742410\pi\) | |||||||
\(194\) | 5.41439 | + | 4.46656i | 0.388730 | + | 0.320681i | ||||
\(195\) | 4.74088 | + | 1.27031i | 0.339501 | + | 0.0909691i | ||||
\(196\) | 10.5174 | − | 9.12932i | 0.751245 | − | 0.652094i | ||||
\(197\) | 3.47114 | + | 3.47114i | 0.247309 | + | 0.247309i | 0.819865 | − | 0.572557i | \(-0.194048\pi\) |
−0.572557 | + | 0.819865i | \(0.694048\pi\) | |||||||
\(198\) | 7.16482 | + | 10.0524i | 0.509181 | + | 0.714392i | ||||
\(199\) | 12.9077 | + | 7.45226i | 0.915002 | + | 0.528277i | 0.882037 | − | 0.471180i | \(-0.156172\pi\) |
0.0329651 | + | 0.999457i | \(0.489505\pi\) | |||||||
\(200\) | 5.53696 | − | 3.38480i | 0.391522 | − | 0.239341i | ||||
\(201\) | 1.12848i | 0.0795966i | ||||||||
\(202\) | 7.88684 | − | 5.62133i | 0.554916 | − | 0.395515i | ||||
\(203\) | 1.10991 | − | 0.297399i | 0.0779002 | − | 0.0208733i | ||||
\(204\) | 5.99004 | + | 4.04664i | 0.419387 | + | 0.283321i | ||||
\(205\) | −2.55021 | − | 9.51750i | −0.178114 | − | 0.664731i | ||||
\(206\) | −3.83851 | − | 10.2779i | −0.267442 | − | 0.716094i | ||||
\(207\) | 0.0137077 | + | 0.0237424i | 0.000952749 | + | 0.00165021i | ||||
\(208\) | 22.2304 | − | 2.69693i | 1.54140 | − | 0.186998i | ||||
\(209\) | 6.15880 | − | 12.5829i | 0.426013 | − | 0.870380i | ||||
\(210\) | 0.233640 | + | 0.0391848i | 0.0161227 | + | 0.00270401i | ||||
\(211\) | 4.80459 | + | 1.28739i | 0.330761 | + | 0.0886273i | 0.420378 | − | 0.907349i | \(-0.361897\pi\) |
−0.0896165 | + | 0.995976i | \(0.528564\pi\) | |||||||
\(212\) | −3.95862 | + | 5.85976i | −0.271879 | + | 0.402450i | ||||
\(213\) | −7.08531 | + | 1.89850i | −0.485477 | + | 0.130083i | ||||
\(214\) | −6.04828 | − | 2.75900i | −0.413452 | − | 0.188602i | ||||
\(215\) | 6.21598 | + | 3.58880i | 0.423926 | + | 0.244754i | ||||
\(216\) | −8.26479 | + | 2.43840i | −0.562348 | + | 0.165912i | ||||
\(217\) | − | 1.25650i | − | 0.0852964i | ||||||
\(218\) | 2.86825 | − | 0.275134i | 0.194262 | − | 0.0186344i | ||||
\(219\) | −7.76067 | + | 2.07946i | −0.524417 | + | 0.140517i | ||||
\(220\) | −3.44948 | + | 9.99453i | −0.232564 | + | 0.673831i | ||||
\(221\) | −26.8447 | + | 26.8447i | −1.80577 | + | 1.80577i | ||||
\(222\) | 0.506315 | + | 0.417681i | 0.0339816 | + | 0.0280329i | ||||
\(223\) | 2.22112 | + | 3.84709i | 0.148737 | + | 0.257620i | 0.930761 | − | 0.365628i | \(-0.119146\pi\) |
−0.782024 | + | 0.623248i | \(0.785813\pi\) | |||||||
\(224\) | 1.05568 | − | 0.232037i | 0.0705354 | − | 0.0155036i | ||||
\(225\) | −3.11572 | − | 5.39658i | −0.207715 | − | 0.359772i | ||||
\(226\) | −2.84083 | + | 1.06097i | −0.188969 | + | 0.0705749i | ||||
\(227\) | 14.8243 | − | 14.8243i | 0.983922 | − | 0.983922i | −0.0159510 | − | 0.999873i | \(-0.505078\pi\) |
0.999873 | + | 0.0159510i | \(0.00507759\pi\) | |||||||
\(228\) | 3.27866 | + | 3.29256i | 0.217134 | + | 0.218055i | ||||
\(229\) | −0.574876 | − | 0.574876i | −0.0379889 | − | 0.0379889i | 0.687857 | − | 0.725846i | \(-0.258552\pi\) |
−0.725846 | + | 0.687857i | \(0.758552\pi\) | |||||||
\(230\) | −0.00974528 | + | 0.0213636i | −0.000642585 | + | 0.00140867i | ||||
\(231\) | 0.283463 | − | 0.163658i | 0.0186505 | − | 0.0107679i | ||||
\(232\) | −16.5350 | − | 3.98868i | −1.08558 | − | 0.261870i | ||||
\(233\) | 6.73689 | − | 3.88955i | 0.441349 | − | 0.254813i | −0.262821 | − | 0.964845i | \(-0.584653\pi\) |
0.704170 | + | 0.710032i | \(0.251320\pi\) | |||||||
\(234\) | −2.05320 | − | 21.4043i | −0.134222 | − | 1.39925i | ||||
\(235\) | 14.8283 | + | 14.8283i | 0.967290 | + | 0.967290i | ||||
\(236\) | −8.89343 | − | 18.2677i | −0.578913 | − | 1.18913i | ||||
\(237\) | −1.88335 | − | 7.02874i | −0.122336 | − | 0.456566i | ||||
\(238\) | −1.16608 | + | 1.41353i | −0.0755860 | + | 0.0916257i | ||||
\(239\) | 21.5037 | 1.39096 | 0.695480 | − | 0.718545i | \(-0.255192\pi\) | ||||
0.695480 | + | 0.718545i | \(0.255192\pi\) | |||||||
\(240\) | −2.76030 | − | 2.16302i | −0.178177 | − | 0.139622i | ||||
\(241\) | −4.40984 | + | 7.63807i | −0.284063 | + | 0.492011i | −0.972382 | − | 0.233397i | \(-0.925016\pi\) |
0.688319 | + | 0.725409i | \(0.258349\pi\) | |||||||
\(242\) | −0.331742 | − | 0.888264i | −0.0213252 | − | 0.0570998i | ||||
\(243\) | 3.26550 | + | 12.1870i | 0.209482 | + | 0.781798i | ||||
\(244\) | −14.9621 | − | 10.1078i | −0.957852 | − | 0.647087i | ||||
\(245\) | 2.96452 | − | 11.0637i | 0.189396 | − | 0.706835i | ||||
\(246\) | 3.67694 | − | 2.62073i | 0.234433 | − | 0.167092i | ||||
\(247\) | −20.2497 | + | 13.6176i | −1.28846 | + | 0.866467i | ||||
\(248\) | −8.89270 | + | 16.3361i | −0.564687 | + | 1.03734i | ||||
\(249\) | 5.85837 | − | 3.38233i | 0.371259 | − | 0.214347i | ||||
\(250\) | 7.04218 | − | 15.4379i | 0.445387 | − | 0.976377i | ||||
\(251\) | −6.75563 | + | 1.81017i | −0.426412 | + | 0.114257i | −0.465641 | − | 0.884974i | \(-0.654176\pi\) |
0.0392296 | + | 0.999230i | \(0.487510\pi\) | |||||||
\(252\) | −0.197300 | − | 1.01895i | −0.0124287 | − | 0.0641881i | ||||
\(253\) | 0.00839681 | + | 0.0313373i | 0.000527903 | + | 0.00197016i | ||||
\(254\) | −0.0531482 | + | 0.316897i | −0.00333481 | + | 0.0198839i | ||||
\(255\) | 5.94522 | 0.372304 | ||||||||
\(256\) | −15.3674 | − | 4.45465i | −0.960461 | − | 0.278416i | ||||
\(257\) | −8.53160 | + | 14.7772i | −0.532187 | + | 0.921774i | 0.467107 | + | 0.884201i | \(0.345296\pi\) |
−0.999294 | + | 0.0375737i | \(0.988037\pi\) | |||||||
\(258\) | −0.544045 | + | 3.24388i | −0.0338707 | + | 0.201955i | ||||
\(259\) | −0.117650 | + | 0.117650i | −0.00731039 | + | 0.00731039i | ||||
\(260\) | 13.9083 | − | 12.0726i | 0.862554 | − | 0.748713i | ||||
\(261\) | −4.22721 | + | 15.7762i | −0.261658 | + | 0.976521i | ||||
\(262\) | −17.4783 | + | 1.67659i | −1.07981 | + | 0.103580i | ||||
\(263\) | −1.48231 | + | 0.855813i | −0.0914032 | + | 0.0527717i | −0.545005 | − | 0.838433i | \(-0.683472\pi\) |
0.453602 | + | 0.891205i | \(0.350139\pi\) | |||||||
\(264\) | −4.84366 | + | 0.121580i | −0.298106 | + | 0.00748272i | ||||
\(265\) | 5.81591i | 0.357269i | ||||||||
\(266\) | −0.910176 | + | 0.747615i | −0.0558065 | + | 0.0458392i | ||||
\(267\) | −0.646995 | − | 0.646995i | −0.0395954 | − | 0.0395954i | ||||
\(268\) | 3.50881 | + | 2.37042i | 0.214335 | + | 0.144796i | ||||
\(269\) | 11.0710 | + | 2.96646i | 0.675009 | + | 0.180868i | 0.580010 | − | 0.814609i | \(-0.303049\pi\) |
0.0949988 | + | 0.995477i | \(0.469715\pi\) | |||||||
\(270\) | −4.50980 | + | 5.46679i | −0.274457 | + | 0.332698i | ||||
\(271\) | 6.73129 | + | 11.6589i | 0.408897 | + | 0.708230i | 0.994766 | − | 0.102175i | \(-0.0325803\pi\) |
−0.585870 | + | 0.810405i | \(0.699247\pi\) | |||||||
\(272\) | 25.1647 | − | 10.1249i | 1.52583 | − | 0.613913i | ||||
\(273\) | −0.570146 | −0.0345068 | ||||||||
\(274\) | 26.1042 | + | 4.37804i | 1.57701 | + | 0.264487i | ||||
\(275\) | −1.90857 | − | 7.12289i | −0.115091 | − | 0.429526i | ||||
\(276\) | −0.0107337 | 0.000758374i | −0.000646095 | 4.56488e-5i | ||||||
\(277\) | −15.8893 | − | 15.8893i | −0.954698 | − | 0.954698i | 0.0443193 | − | 0.999017i | \(-0.485888\pi\) |
−0.999017 | + | 0.0443193i | \(0.985888\pi\) | |||||||
\(278\) | 7.61827 | − | 5.42991i | 0.456914 | − | 0.325664i | ||||
\(279\) | 15.4670 | + | 8.92988i | 0.925986 | + | 0.534618i | ||||
\(280\) | 0.612611 | − | 0.644157i | 0.0366105 | − | 0.0384957i | ||||
\(281\) | −11.7596 | − | 6.78944i | −0.701522 | − | 0.405024i | 0.106392 | − | 0.994324i | \(-0.466070\pi\) |
−0.807914 | + | 0.589300i | \(0.799403\pi\) | |||||||
\(282\) | −3.98828 | + | 8.74311i | −0.237499 | + | 0.520645i | ||||
\(283\) | −6.62926 | + | 24.7407i | −0.394069 | + | 1.47068i | 0.429292 | + | 0.903166i | \(0.358763\pi\) |
−0.823361 | + | 0.567519i | \(0.807903\pi\) | |||||||
\(284\) | −8.97992 | + | 26.0185i | −0.532860 | + | 1.54391i | ||||
\(285\) | 3.75025 | + | 0.734395i | 0.222146 | + | 0.0435018i | ||||
\(286\) | 4.20883 | − | 25.0952i | 0.248873 | − | 1.48391i | ||||
\(287\) | 0.572295 | + | 0.991244i | 0.0337815 | + | 0.0585113i | ||||
\(288\) | −4.64638 | + | 14.6441i | −0.273790 | + | 0.862911i | ||||
\(289\) | −14.4930 | + | 25.1026i | −0.852530 | + | 1.47663i | ||||
\(290\) | −13.1049 | + | 4.89432i | −0.769546 | + | 0.287404i | ||||
\(291\) | 0.684666 | + | 2.55521i | 0.0401358 | + | 0.149789i | ||||
\(292\) | −9.83588 | + | 28.4985i | −0.575601 | + | 1.66775i | ||||
\(293\) | 3.93766 | + | 3.93766i | 0.230041 | + | 0.230041i | 0.812710 | − | 0.582669i | \(-0.197992\pi\) |
−0.582669 | + | 0.812710i | \(0.697992\pi\) | |||||||
\(294\) | 5.22490 | − | 0.501194i | 0.304722 | − | 0.0292303i | ||||
\(295\) | −14.4711 | − | 8.35492i | −0.842543 | − | 0.486442i | ||||
\(296\) | 2.36225 | − | 0.696944i | 0.137303 | − | 0.0405091i | ||||
\(297\) | 9.79153i | 0.568162i | ||||||||
\(298\) | −2.19434 | − | 22.8757i | −0.127115 | − | 1.32516i | ||||
\(299\) | 0.0146263 | − | 0.0545860i | 0.000845859 | − | 0.00315679i | ||||
\(300\) | 2.43975 | + | 0.172377i | 0.140859 | + | 0.00995216i | ||||
\(301\) | −0.805366 | − | 0.215797i | −0.0464205 | − | 0.0124383i | ||||
\(302\) | 6.19233 | + | 16.5804i | 0.356329 | + | 0.954096i | ||||
\(303\) | 3.65019 | 0.209698 | ||||||||
\(304\) | 17.1246 | − | 3.27829i | 0.982165 | − | 0.188023i | ||||
\(305\) | −14.8502 | −0.850319 | ||||||||
\(306\) | −9.11274 | − | 24.4000i | −0.520941 | − | 1.39486i | ||||
\(307\) | −23.7003 | − | 6.35047i | −1.35265 | − | 0.362441i | −0.491536 | − | 0.870857i | \(-0.663564\pi\) |
−0.861111 | + | 0.508417i | \(0.830231\pi\) | |||||||
\(308\) | 0.0865611 | − | 1.22515i | 0.00493227 | − | 0.0698095i | ||||
\(309\) | 1.07020 | − | 3.99403i | 0.0608813 | − | 0.227212i | ||||
\(310\) | 1.46064 | + | 15.2271i | 0.0829591 | + | 0.864839i | ||||
\(311\) | − | 21.4706i | − | 1.21749i | −0.793367 | − | 0.608743i | \(-0.791674\pi\) | ||
0.793367 | − | 0.608743i | \(-0.208326\pi\) | |||||||
\(312\) | 7.41263 | + | 4.03514i | 0.419657 | + | 0.228445i | ||||
\(313\) | −7.22851 | − | 4.17338i | −0.408579 | − | 0.235893i | 0.281600 | − | 0.959532i | \(-0.409135\pi\) |
−0.690179 | + | 0.723639i | \(0.742468\pi\) | |||||||
\(314\) | −13.9277 | + | 1.33600i | −0.785985 | + | 0.0753950i | ||||
\(315\) | −0.603577 | − | 0.603577i | −0.0340077 | − | 0.0340077i | ||||
\(316\) | −25.8108 | − | 8.90824i | −1.45197 | − | 0.501127i | ||||
\(317\) | 5.21151 | + | 19.4496i | 0.292708 | + | 1.09240i | 0.943021 | + | 0.332733i | \(0.107971\pi\) |
−0.650313 | + | 0.759666i | \(0.725362\pi\) | |||||||
\(318\) | −2.49674 | + | 0.932465i | −0.140010 | + | 0.0522900i | ||||
\(319\) | −9.66389 | + | 16.7384i | −0.541074 | + | 0.937168i | ||||
\(320\) | −12.5237 | + | 4.03918i | −0.700095 | + | 0.225797i | ||||
\(321\) | −1.25274 | − | 2.16981i | −0.0699211 | − | 0.121107i | ||||
\(322\) | 0.000451170 | − | 0.00269011i | 2.51427e−5 | − | 0.000149914i | ||||
\(323\) | −19.4235 | + | 22.2814i | −1.08075 | + | 1.23977i | ||||
\(324\) | 12.3339 | + | 4.25689i | 0.685218 | + | 0.236494i | ||||
\(325\) | −3.32452 | + | 12.4073i | −0.184411 | + | 0.688231i | ||||
\(326\) | 4.73764 | − | 10.3859i | 0.262394 | − | 0.575219i | ||||
\(327\) | 0.940472 | + | 0.542982i | 0.0520082 | + | 0.0300269i | ||||
\(328\) | −0.425153 | − | 16.9378i | −0.0234751 | − | 0.935233i | ||||
\(329\) | −2.10963 | − | 1.21800i | −0.116308 | − | 0.0671503i | ||||
\(330\) | −3.24495 | + | 2.31283i | −0.178629 | + | 0.127317i | ||||
\(331\) | 3.64546 | + | 3.64546i | 0.200373 | + | 0.200373i | 0.800160 | − | 0.599787i | \(-0.204748\pi\) |
−0.599787 | + | 0.800160i | \(0.704748\pi\) | |||||||
\(332\) | 1.78897 | − | 25.3204i | 0.0981824 | − | 1.38964i | ||||
\(333\) | −0.612092 | − | 2.28436i | −0.0335424 | − | 0.125182i | ||||
\(334\) | −5.87056 | − | 0.984576i | −0.321223 | − | 0.0538736i | ||||
\(335\) | 3.48256 | 0.190273 | ||||||||
\(336\) | 0.374753 | + | 0.159713i | 0.0204444 | + | 0.00871306i | ||||
\(337\) | −6.54667 | − | 11.3392i | −0.356620 | − | 0.617684i | 0.630774 | − | 0.775967i | \(-0.282738\pi\) |
−0.987394 | + | 0.158283i | \(0.949404\pi\) | |||||||
\(338\) | −16.5063 | + | 20.0090i | −0.897826 | + | 1.08835i | ||||
\(339\) | −1.10396 | − | 0.295805i | −0.0599588 | − | 0.0160659i | ||||
\(340\) | 12.4882 | − | 18.4857i | 0.677268 | − | 1.00253i | ||||
\(341\) | 14.9446 | + | 14.9446i | 0.809297 | + | 0.809297i | ||||
\(342\) | −2.73427 | − | 16.5172i | −0.147853 | − | 0.893150i | ||||
\(343\) | 2.66806i | 0.144062i | ||||||||
\(344\) | 8.94352 | + | 8.50553i | 0.482202 | + | 0.458588i | ||||
\(345\) | −0.00766414 | + | 0.00442489i | −0.000412624 | + | 0.000238228i | ||||
\(346\) | 10.3042 | − | 0.988424i | 0.553958 | − | 0.0531380i | ||||
\(347\) | −0.286543 | + | 1.06939i | −0.0153824 | + | 0.0574081i | −0.973190 | − | 0.230001i | \(-0.926127\pi\) |
0.957808 | + | 0.287409i | \(0.0927938\pi\) | |||||||
\(348\) | −4.20221 | − | 4.84116i | −0.225262 | − | 0.259513i | ||||
\(349\) | 0.152567 | − | 0.152567i | 0.00816671 | − | 0.00816671i | −0.703012 | − | 0.711178i | \(-0.748162\pi\) |
0.711178 | + | 0.703012i | \(0.248162\pi\) | |||||||
\(350\) | −0.102550 | + | 0.611455i | −0.00548151 | + | 0.0326837i | ||||
\(351\) | 8.52787 | − | 14.7707i | 0.455184 | − | 0.788401i | ||||
\(352\) | −9.79628 | + | 15.3159i | −0.522144 | + | 0.816342i | ||||
\(353\) | 19.9451 | 1.06157 | 0.530784 | − | 0.847507i | \(-0.321897\pi\) | ||||
0.530784 | + | 0.847507i | \(0.321897\pi\) | |||||||
\(354\) | 1.26657 | − | 7.55193i | 0.0673172 | − | 0.401381i | ||||
\(355\) | 5.85891 | + | 21.8657i | 0.310959 | + | 1.16051i | ||||
\(356\) | −3.37076 | + | 0.652682i | −0.178650 | + | 0.0345921i | ||||
\(357\) | −0.667087 | + | 0.178745i | −0.0353060 | + | 0.00946021i | ||||
\(358\) | 6.14644 | − | 13.4742i | 0.324850 | − | 0.712135i | ||||
\(359\) | 9.67331 | − | 5.58489i | 0.510538 | − | 0.294759i | −0.222517 | − | 0.974929i | \(-0.571427\pi\) |
0.733055 | + | 0.680170i | \(0.238094\pi\) | |||||||
\(360\) | 3.57553 | + | 12.1190i | 0.188447 | + | 0.638729i | ||||
\(361\) | −15.0047 | + | 11.6558i | −0.789722 | + | 0.613465i | ||||
\(362\) | −23.6322 | + | 16.8438i | −1.24208 | + | 0.885291i | ||||
\(363\) | 0.0924915 | − | 0.345183i | 0.00485454 | − | 0.0181174i | ||||
\(364\) | −1.19762 | + | 1.77277i | −0.0627722 | + | 0.0929186i | ||||
\(365\) | 6.41737 | + | 23.9500i | 0.335901 | + | 1.25360i | ||||
\(366\) | −2.38093 | − | 6.37510i | −0.124453 | − | 0.333232i | ||||
\(367\) | −8.13980 | + | 14.0986i | −0.424894 | + | 0.735939i | −0.996411 | − | 0.0846522i | \(-0.973022\pi\) |
0.571516 | + | 0.820591i | \(0.306355\pi\) | |||||||
\(368\) | −0.0249047 | + | 0.0317818i | −0.00129825 | + | 0.00165674i | ||||
\(369\) | −16.2691 | −0.846938 | ||||||||
\(370\) | 1.28899 | − | 1.56252i | 0.0670116 | − | 0.0812317i | ||||
\(371\) | −0.174858 | − | 0.652578i | −0.00907816 | − | 0.0338802i | ||||
\(372\) | −6.30271 | + | 3.06840i | −0.326781 | + | 0.159089i | ||||
\(373\) | −9.15640 | − | 9.15640i | −0.474100 | − | 0.474100i | 0.429138 | − | 0.903239i | \(-0.358817\pi\) |
−0.903239 | + | 0.429138i | \(0.858817\pi\) | |||||||
\(374\) | −2.94312 | − | 30.6817i | −0.152185 | − | 1.58651i | ||||
\(375\) | 5.53830 | − | 3.19754i | 0.285997 | − | 0.165120i | ||||
\(376\) | 18.8077 | + | 30.7662i | 0.969933 | + | 1.58665i | ||||
\(377\) | 29.1563 | − | 16.8334i | 1.50163 | − | 0.866964i | ||||
\(378\) | 0.341663 | − | 0.748993i | 0.0175732 | − | 0.0385241i | ||||
\(379\) | 4.47387 | + | 4.47387i | 0.229807 | + | 0.229807i | 0.812612 | − | 0.582805i | \(-0.198045\pi\) |
−0.582805 | + | 0.812612i | \(0.698045\pi\) | |||||||
\(380\) | 10.1611 | − | 10.1182i | 0.521251 | − | 0.519051i | ||||
\(381\) | −0.0856321 | + | 0.0856321i | −0.00438707 | + | 0.00438707i | ||||
\(382\) | −6.60359 | + | 2.46626i | −0.337869 | + | 0.126185i | ||||
\(383\) | −3.41100 | − | 5.90803i | −0.174294 | − | 0.301886i | 0.765623 | − | 0.643290i | \(-0.222431\pi\) |
−0.939917 | + | 0.341404i | \(0.889098\pi\) | |||||||
\(384\) | −3.74192 | − | 4.72875i | −0.190954 | − | 0.241313i | ||||
\(385\) | −0.505059 | − | 0.874787i | −0.0257402 | − | 0.0445833i | ||||
\(386\) | 8.54087 | + | 7.04573i | 0.434719 | + | 0.358618i | ||||
\(387\) | 8.38011 | − | 8.38011i | 0.425985 | − | 0.425985i | ||||
\(388\) | 9.38317 | + | 3.23847i | 0.476358 | + | 0.164409i | ||||
\(389\) | −24.0747 | + | 6.45081i | −1.22064 | + | 0.327069i | −0.810928 | − | 0.585147i | \(-0.801037\pi\) |
−0.409711 | + | 0.912216i | \(0.634370\pi\) | |||||||
\(390\) | 6.90941 | − | 0.662780i | 0.349872 | − | 0.0335612i | ||||
\(391\) | − | 0.0684527i | − | 0.00346180i | ||||||
\(392\) | 9.41675 | − | 17.2987i | 0.475618 | − | 0.873718i | ||||
\(393\) | −5.73097 | − | 3.30878i | −0.289089 | − | 0.166906i | ||||
\(394\) | 6.31617 | + | 2.88120i | 0.318204 | + | 0.145153i | ||||
\(395\) | −21.6912 | + | 5.81214i | −1.09140 | + | 0.292440i | ||||
\(396\) | 14.4660 | + | 9.77267i | 0.726944 | + | 0.491095i | ||||
\(397\) | −4.80265 | − | 1.28687i | −0.241038 | − | 0.0645860i | 0.136277 | − | 0.990671i | \(-0.456486\pi\) |
−0.377316 | + | 0.926085i | \(0.623153\pi\) | |||||||
\(398\) | 20.7878 | + | 3.48642i | 1.04200 | + | 0.174758i | ||||
\(399\) | −0.442879 | + | 0.0303497i | −0.0221717 | + | 0.00151939i | ||||
\(400\) | 5.66078 | − | 7.22392i | 0.283039 | − | 0.361196i | ||||
\(401\) | −13.8448 | − | 23.9800i | −0.691379 | − | 1.19750i | −0.971386 | − | 0.237505i | \(-0.923670\pi\) |
0.280008 | − | 0.959998i | \(-0.409663\pi\) | |||||||
\(402\) | 0.558358 | + | 1.49504i | 0.0278484 | + | 0.0745660i | ||||
\(403\) | −9.52831 | − | 35.5601i | −0.474639 | − | 1.77138i | ||||
\(404\) | 7.66738 | − | 11.3497i | 0.381466 | − | 0.564666i | ||||
\(405\) | 10.3653 | − | 2.77739i | 0.515058 | − | 0.138009i | ||||
\(406\) | 1.32329 | − | 0.943174i | 0.0656739 | − | 0.0468089i | ||||
\(407\) | − | 2.79862i | − | 0.138723i | ||||||
\(408\) | 9.93804 | + | 2.39731i | 0.492006 | + | 0.118685i | ||||
\(409\) | 28.9423 | + | 16.7098i | 1.43110 | + | 0.826247i | 0.997205 | − | 0.0747149i | \(-0.0238047\pi\) |
0.433897 | + | 0.900962i | \(0.357138\pi\) | |||||||
\(410\) | −8.08776 | − | 11.3473i | −0.399426 | − | 0.560403i | ||||
\(411\) | 7.05389 | + | 7.05389i | 0.347943 | + | 0.347943i | ||||
\(412\) | −10.1708 | − | 11.7172i | −0.501078 | − | 0.577266i | ||||
\(413\) | 1.87494 | + | 0.502388i | 0.0922596 | + | 0.0247209i | ||||
\(414\) | 0.0299079 | + | 0.0246723i | 0.00146989 | + | 0.00121258i | ||||
\(415\) | −10.4381 | − | 18.0793i | −0.512387 | − | 0.887480i | ||||
\(416\) | 28.1172 | − | 14.5723i | 1.37856 | − | 0.714468i | ||||
\(417\) | 3.52589 | 0.172663 | ||||||||
\(418\) | 1.93349 | − | 19.7176i | 0.0945700 | − | 0.964419i | ||||
\(419\) | 15.0662 | − | 15.0662i | 0.736032 | − | 0.736032i | −0.235776 | − | 0.971808i | \(-0.575763\pi\) |
0.971808 | + | 0.235776i | \(0.0757631\pi\) | |||||||
\(420\) | 0.328923 | − | 0.0636894i | 0.0160498 | − | 0.00310772i | ||||
\(421\) | −4.14179 | + | 15.4574i | −0.201858 | + | 0.753346i | 0.788526 | + | 0.615002i | \(0.210845\pi\) |
−0.990384 | + | 0.138344i | \(0.955822\pi\) | |||||||
\(422\) | 7.00226 | − | 0.671687i | 0.340865 | − | 0.0326972i | ||||
\(423\) | 29.9862 | − | 17.3126i | 1.45798 | − | 0.841765i | ||||
\(424\) | −2.34517 | + | 9.72189i | −0.113892 | + | 0.472137i | ||||
\(425\) | 15.5591i | 0.754728i | ||||||||
\(426\) | −8.44749 | + | 6.02093i | −0.409282 | + | 0.291715i | ||||
\(427\) | 1.66627 | − | 0.446476i | 0.0806366 | − | 0.0216065i | ||||
\(428\) | −9.37809 | − | 0.662593i | −0.453307 | − | 0.0320277i | ||||
\(429\) | 6.78125 | − | 6.78125i | 0.327402 | − | 0.327402i | ||||
\(430\) | 10.0108 | + | 1.67896i | 0.482765 | + | 0.0809666i | ||||
\(431\) | −13.7848 | + | 23.8759i | −0.663988 | + | 1.15006i | 0.315570 | + | 0.948902i | \(0.397804\pi\) |
−0.979559 | + | 0.201159i | \(0.935529\pi\) | |||||||
\(432\) | −9.74297 | + | 7.31980i | −0.468759 | + | 0.352174i | ||||
\(433\) | 18.2626 | − | 31.6318i | 0.877647 | − | 1.52013i | 0.0237306 | − | 0.999718i | \(-0.492446\pi\) |
0.853916 | − | 0.520410i | \(-0.174221\pi\) | |||||||
\(434\) | −0.621700 | − | 1.66465i | −0.0298426 | − | 0.0799056i | ||||
\(435\) | −5.09262 | − | 1.36456i | −0.244172 | − | 0.0654257i | ||||
\(436\) | 3.66381 | − | 1.78368i | 0.175465 | − | 0.0854230i | ||||
\(437\) | 0.00845574 | − | 0.0431800i | 0.000404493 | − | 0.00206558i | ||||
\(438\) | −9.25269 | + | 6.59484i | −0.442111 | + | 0.315114i | ||||
\(439\) | 16.0073 | − | 9.24184i | 0.763989 | − | 0.441089i | −0.0667372 | − | 0.997771i | \(-0.521259\pi\) |
0.830726 | + | 0.556681i | \(0.187926\pi\) | |||||||
\(440\) | 0.375204 | + | 14.9479i | 0.0178871 | + | 0.712611i | ||||
\(441\) | −16.3785 | − | 9.45612i | −0.779928 | − | 0.450292i | ||||
\(442\) | −22.2823 | + | 48.8471i | −1.05986 | + | 2.32342i | ||||
\(443\) | 22.0126 | − | 5.89826i | 1.04585 | − | 0.280235i | 0.305315 | − | 0.952252i | \(-0.401238\pi\) |
0.740536 | + | 0.672017i | \(0.234572\pi\) | |||||||
\(444\) | 0.877447 | + | 0.302839i | 0.0416418 | + | 0.0143721i | ||||
\(445\) | −1.99667 | + | 1.99667i | −0.0946513 | + | 0.0946513i | ||||
\(446\) | 4.84611 | + | 3.99777i | 0.229470 | + | 0.189300i | ||||
\(447\) | 4.33056 | − | 7.50074i | 0.204828 | − | 0.354773i | ||||
\(448\) | 1.28379 | − | 0.829748i | 0.0606532 | − | 0.0392019i | ||||
\(449\) | −4.67297 | −0.220531 | −0.110266 | − | 0.993902i | \(-0.535170\pi\) | ||||
−0.110266 | + | 0.993902i | \(0.535170\pi\) | |||||||
\(450\) | −6.79798 | − | 5.60795i | −0.320460 | − | 0.264361i | ||||
\(451\) | −18.5966 | − | 4.98293i | −0.875678 | − | 0.234637i | ||||
\(452\) | −3.23867 | + | 2.81123i | −0.152334 | + | 0.132229i | ||||
\(453\) | −1.72645 | + | 6.44322i | −0.0811159 | + | 0.302729i | ||||
\(454\) | 12.3048 | − | 26.9746i | 0.577493 | − | 1.26598i | ||||
\(455\) | 1.75951i | 0.0824871i | ||||||||
\(456\) | 5.97280 | + | 2.73984i | 0.279702 | + | 0.128305i | ||||
\(457\) | − | 18.1710i | − | 0.850004i | −0.905193 | − | 0.425002i | \(-0.860273\pi\) | ||
0.905193 | − | 0.425002i | \(-0.139727\pi\) | |||||||
\(458\) | −1.04606 | − | 0.477172i | −0.0488790 | − | 0.0222968i | ||||
\(459\) | 5.34712 | − | 19.9557i | 0.249582 | − | 0.931453i | ||||
\(460\) | −0.00234040 | + | 0.0331251i | −0.000109122 | + | 0.00154446i | ||||
\(461\) | 19.1595 | + | 5.13378i | 0.892349 | + | 0.239104i | 0.675727 | − | 0.737152i | \(-0.263830\pi\) |
0.216621 | + | 0.976256i | \(0.430496\pi\) | |||||||
\(462\) | 0.294566 | − | 0.357074i | 0.0137044 | − | 0.0166126i | ||||
\(463\) | 20.1714 | 0.937443 | 0.468721 | − | 0.883346i | \(-0.344715\pi\) | ||||
0.468721 | + | 0.883346i | \(0.344715\pi\) | |||||||
\(464\) | −23.8797 | + | 2.89702i | −1.10859 | + | 0.134491i | ||||
\(465\) | −2.88260 | + | 4.99282i | −0.133678 | + | 0.231536i | ||||
\(466\) | 7.00076 | − | 8.48634i | 0.324304 | − | 0.393122i | ||||
\(467\) | −18.8219 | + | 18.8219i | −0.870974 | + | 0.870974i | −0.992579 | − | 0.121605i | \(-0.961196\pi\) |
0.121605 | + | 0.992579i | \(0.461196\pi\) | |||||||
\(468\) | −13.3108 | − | 27.3413i | −0.615291 | − | 1.26385i | ||||
\(469\) | −0.390763 | + | 0.104705i | −0.0180437 | + | 0.00483480i | ||||
\(470\) | 26.9819 | + | 12.3081i | 1.24458 | + | 0.567731i | ||||
\(471\) | −4.56676 | − | 2.63662i | −0.210425 | − | 0.121489i | ||||
\(472\) | −20.8210 | − | 19.8013i | −0.958364 | − | 0.911431i | ||||
\(473\) | 12.1456 | − | 7.01227i | 0.558456 | − | 0.322425i | ||||
\(474\) | −5.97287 | − | 8.38005i | −0.274343 | − | 0.384909i | ||||
\(475\) | −1.92197 | + | 9.81471i | −0.0881860 | + | 0.450330i | ||||
\(476\) | −0.845467 | + | 2.44966i | −0.0387519 | + | 0.112280i | ||||
\(477\) | 9.27571 | + | 2.48542i | 0.424706 | + | 0.113800i | ||||
\(478\) | 28.4889 | − | 10.6398i | 1.30305 | − | 0.486654i | ||||
\(479\) | −9.74966 | + | 16.8869i | −0.445474 | + | 0.771583i | −0.998085 | − | 0.0618562i | \(-0.980298\pi\) |
0.552612 | + | 0.833439i | \(0.313631\pi\) | |||||||
\(480\) | −4.72717 | − | 1.49987i | −0.215765 | − | 0.0684594i | ||||
\(481\) | −2.43744 | + | 4.22177i | −0.111138 | + | 0.192496i | ||||
\(482\) | −2.06307 | + | 12.3011i | −0.0939704 | + | 0.560300i | ||||
\(483\) | 0.000726923 | 0 | 0.000726923i | 3.30762e−5 | 0 | 3.30762e-5i | ||||
\(484\) | −0.879007 | − | 1.01266i | −0.0399549 | − | 0.0460300i | ||||
\(485\) | 7.88555 | − | 2.11293i | 0.358064 | − | 0.0959430i | ||||
\(486\) | 10.3563 | + | 14.5300i | 0.469769 | + | 0.659096i | ||||
\(487\) | − | 24.2969i | − | 1.10100i | −0.834836 | − | 0.550499i | \(-0.814437\pi\) | ||
0.834836 | − | 0.550499i | \(-0.185563\pi\) | |||||||
\(488\) | −24.8236 | − | 5.98809i | −1.12371 | − | 0.271068i | ||||
\(489\) | 3.72590 | − | 2.15115i | 0.168491 | − | 0.0972783i | ||||
\(490\) | −1.54672 | − | 16.1244i | −0.0698737 | − | 0.728426i | ||||
\(491\) | −8.50995 | + | 31.7596i | −0.384049 | + | 1.43329i | 0.455612 | + | 0.890178i | \(0.349420\pi\) |
−0.839661 | + | 0.543111i | \(0.817246\pi\) | |||||||
\(492\) | 3.57462 | − | 5.29134i | 0.161156 | − | 0.238552i | ||||
\(493\) | 28.8363 | − | 28.8363i | 1.29872 | − | 1.29872i | ||||
\(494\) | −20.0896 | + | 28.0604i | −0.903874 | + | 1.26250i | ||||
\(495\) | 14.3578 | 0.645333 | ||||||||
\(496\) | −3.69845 | + | 26.0426i | −0.166065 | + | 1.16935i | ||||
\(497\) | −1.31480 | − | 2.27731i | −0.0589770 | − | 0.102151i | ||||
\(498\) | 6.08782 | − | 7.37968i | 0.272802 | − | 0.330692i | ||||
\(499\) | 36.5500 | + | 9.79354i | 1.63620 | + | 0.438419i | 0.955704 | − | 0.294330i | \(-0.0950966\pi\) |
0.680498 | + | 0.732749i | \(0.261763\pi\) | |||||||
\(500\) | 1.69123 | − | 23.9370i | 0.0756340 | − | 1.07050i | ||||
\(501\) | −1.58635 | − | 1.58635i | −0.0708727 | − | 0.0708727i | ||||
\(502\) | −8.05444 | + | 5.74078i | −0.359487 | + | 0.256224i | ||||
\(503\) | −4.74144 | − | 2.73747i | −0.211410 | − | 0.122058i | 0.390556 | − | 0.920579i | \(-0.372283\pi\) |
−0.601967 | + | 0.798521i | \(0.705616\pi\) | |||||||
\(504\) | −0.765558 | − | 1.25232i | −0.0341006 | − | 0.0557829i | ||||
\(505\) | − | 11.2647i | − | 0.501274i | ||||||
\(506\) | 0.0266297 | + | 0.0373621i | 0.00118384 | + | 0.00166095i | ||||
\(507\) | −9.44286 | + | 2.53021i | −0.419372 | + | 0.112370i | ||||
\(508\) | 0.0863848 | + | 0.446133i | 0.00383271 | + | 0.0197940i | ||||
\(509\) | −7.85157 | − | 29.3024i | −0.348015 | − | 1.29881i | −0.889051 | − | 0.457809i | \(-0.848634\pi\) |
0.541036 | − | 0.840999i | \(-0.318032\pi\) | |||||||
\(510\) | 7.87643 | − | 2.94163i | 0.348774 | − | 0.130258i | ||||
\(511\) | −1.44013 | − | 2.49438i | −0.0637076 | − | 0.110345i | ||||
\(512\) | −22.5633 | + | 1.70193i | −0.997167 | + | 0.0752156i | ||||
\(513\) | 5.83803 | − | 11.9276i | 0.257755 | − | 0.526615i | ||||
\(514\) | −3.99137 | + | 23.7986i | −0.176052 | + | 1.04971i | ||||
\(515\) | −12.3258 | − | 3.30270i | −0.543141 | − | 0.145534i | ||||
\(516\) | 0.884268 | + | 4.56679i | 0.0389277 | + | 0.201042i | ||||
\(517\) | 39.5785 | − | 10.6050i | 1.74066 | − | 0.466408i | ||||
\(518\) | −0.0976544 | + | 0.214078i | −0.00429069 | + | 0.00940604i | ||||
\(519\) | 3.37866 | + | 1.95067i | 0.148307 | + | 0.0856249i | ||||
\(520\) | 12.4527 | − | 22.8759i | 0.546088 | − | 1.00317i | ||||
\(521\) | − | 4.84370i | − | 0.212206i | −0.994355 | − | 0.106103i | \(-0.966163\pi\) | ||
0.994355 | − | 0.106103i | \(-0.0338374\pi\) | |||||||
\(522\) | 2.20553 | + | 22.9924i | 0.0965333 | + | 1.00635i | ||||
\(523\) | 9.76122 | − | 2.61551i | 0.426828 | − | 0.114368i | −0.0390086 | − | 0.999239i | \(-0.512420\pi\) |
0.465837 | + | 0.884871i | \(0.345753\pi\) | |||||||
\(524\) | −22.3263 | + | 10.8693i | −0.975327 | + | 0.474826i | ||||
\(525\) | −0.165228 | + | 0.165228i | −0.00721113 | + | 0.00721113i | ||||
\(526\) | −1.54037 | + | 1.86724i | −0.0671633 | + | 0.0814156i | ||||
\(527\) | −22.2968 | − | 38.6192i | −0.971264 | − | 1.68228i | ||||
\(528\) | −6.35688 | + | 2.55766i | −0.276648 | + | 0.111308i | ||||
\(529\) | −11.4999 | − | 19.9185i | −0.499998 | − | 0.866022i | ||||
\(530\) | 2.87765 | + | 7.70512i | 0.124997 | + | 0.334689i | ||||
\(531\) | −19.5094 | + | 19.5094i | −0.846634 | + | 0.846634i | ||||
\(532\) | −0.835920 | + | 1.44081i | −0.0362417 | + | 0.0624671i | ||||
\(533\) | 23.7134 | + | 23.7134i | 1.02714 | + | 1.02714i | ||||
\(534\) | −1.17729 | − | 0.537034i | −0.0509462 | − | 0.0232397i | ||||
\(535\) | −6.69618 | + | 3.86604i | −0.289501 | + | 0.167143i | ||||
\(536\) | 5.82145 | + | 1.40428i | 0.251448 | + | 0.0606559i | ||||
\(537\) | 4.83385 | − | 2.79082i | 0.208596 | − | 0.120433i | ||||
\(538\) | 16.1350 | − | 1.54773i | 0.695627 | − | 0.0667275i | ||||
\(539\) | −15.8253 | − | 15.8253i | −0.681644 | − | 0.681644i | ||||
\(540\) | −3.26982 | + | 9.47399i | −0.140711 | + | 0.407696i | ||||
\(541\) | −7.75257 | − | 28.9330i | −0.333309 | − | 1.24393i | −0.905691 | − | 0.423939i | \(-0.860647\pi\) |
0.572382 | − | 0.819987i | \(-0.306019\pi\) | |||||||
\(542\) | 14.6866 | + | 12.1156i | 0.630841 | + | 0.520409i | ||||
\(543\) | −10.9375 | −0.469371 | ||||||||
\(544\) | 28.3294 | − | 25.8650i | 1.21461 | − | 1.10895i | ||||
\(545\) | 1.67568 | − | 2.90236i | 0.0717782 | − | 0.124323i | ||||
\(546\) | −0.755348 | + | 0.282102i | −0.0323259 | + | 0.0120728i | ||||
\(547\) | −0.601671 | − | 2.24547i | −0.0257256 | − | 0.0960092i | 0.951869 | − | 0.306504i | \(-0.0991592\pi\) |
−0.977595 | + | 0.210495i | \(0.932493\pi\) | |||||||
\(548\) | 36.7499 | − | 7.11589i | 1.56988 | − | 0.303976i | ||||
\(549\) | −6.34619 | + | 23.6843i | −0.270849 | + | 1.01082i | ||||
\(550\) | −6.05287 | − | 8.49230i | −0.258095 | − | 0.362113i | ||||
\(551\) | 21.7520 | − | 14.6279i | 0.926668 | − | 0.623170i | ||||
\(552\) | −0.0145957 | + | 0.00430622i | −0.000621232 | + | 0.000183285i | ||||
\(553\) | 2.25913 | − | 1.30431i | 0.0960679 | − | 0.0554648i | ||||
\(554\) | −28.9126 | − | 13.1889i | −1.22838 | − | 0.560341i | ||||
\(555\) | 0.737400 | − | 0.197586i | 0.0313009 | − | 0.00838705i | ||||
\(556\) | 7.40628 | − | 10.9632i | 0.314096 | − | 0.464942i | ||||
\(557\) | 4.17480 | + | 15.5805i | 0.176892 | + | 0.660169i | 0.996222 | + | 0.0868467i | \(0.0276790\pi\) |
−0.819330 | + | 0.573322i | \(0.805654\pi\) | |||||||
\(558\) | 24.9096 | + | 4.17770i | 1.05451 | + | 0.176856i | ||||
\(559\) | −24.4292 | −1.03324 | ||||||||
\(560\) | 0.492885 | − | 1.15651i | 0.0208282 | − | 0.0488716i | ||||
\(561\) | 5.80829 | − | 10.0602i | 0.245226 | − | 0.424744i | ||||
\(562\) | −18.9389 | − | 3.17633i | −0.798890 | − | 0.133985i | ||||
\(563\) | −31.6416 | + | 31.6416i | −1.33353 | + | 1.33353i | −0.431349 | + | 0.902185i | \(0.641962\pi\) |
−0.902185 | + | 0.431349i | \(0.858038\pi\) | |||||||
\(564\) | −0.957814 | + | 13.5565i | −0.0403312 | + | 0.570833i | ||||
\(565\) | −0.912874 | + | 3.40689i | −0.0384049 | + | 0.143329i | ||||
\(566\) | 3.45878 | + | 36.0575i | 0.145384 | + | 1.51561i | ||||
\(567\) | −1.07955 | + | 0.623276i | −0.0453367 | + | 0.0261751i | ||||
\(568\) | 0.976756 | + | 38.9133i | 0.0409838 | + | 1.63277i | ||||
\(569\) | 2.16981i | 0.0909634i | 0.998965 | + | 0.0454817i | \(0.0144823\pi\) | ||||
−0.998965 | + | 0.0454817i | \(0.985518\pi\) | |||||||
\(570\) | 5.33183 | − | 0.882635i | 0.223326 | − | 0.0369695i | ||||
\(571\) | 4.57662 | + | 4.57662i | 0.191526 | + | 0.191526i | 0.796355 | − | 0.604829i | \(-0.206759\pi\) |
−0.604829 | + | 0.796355i | \(0.706759\pi\) | |||||||
\(572\) | −6.84086 | − | 35.3295i | −0.286031 | − | 1.47720i | ||||
\(573\) | −2.56618 | − | 0.687606i | −0.107204 | − | 0.0287252i | ||||
\(574\) | 1.24865 | + | 1.03007i | 0.0521177 | + | 0.0429942i | ||||
\(575\) | −0.0115803 | − | 0.0200577i | −0.000482932 | − | 0.000836463i | ||||
\(576\) | 1.09006 | + | 21.7000i | 0.0454192 | + | 0.904165i | ||||
\(577\) | −11.0460 | −0.459853 | −0.229926 | − | 0.973208i | \(-0.573849\pi\) | ||||
−0.229926 | + | 0.973208i | \(0.573849\pi\) | |||||||
\(578\) | −6.78032 | + | 40.4278i | −0.282024 | + | 1.68157i | ||||
\(579\) | 1.08002 | + | 4.03069i | 0.0448841 | + | 0.167510i | ||||
\(580\) | −14.9401 | + | 12.9683i | −0.620356 | + | 0.538480i | ||||
\(581\) | 1.71478 | + | 1.71478i | 0.0711409 | + | 0.0711409i | ||||
\(582\) | 2.17136 | + | 3.04646i | 0.0900056 | + | 0.126280i | ||||
\(583\) | 9.84143 | + | 5.68195i | 0.407590 | + | 0.235322i | ||||
\(584\) | 1.06986 | + | 42.6225i | 0.0442711 | + | 1.76373i | ||||
\(585\) | −21.6589 | − | 12.5048i | −0.895487 | − | 0.517009i | ||||
\(586\) | 7.16506 | + | 3.26843i | 0.295986 | + | 0.135018i | ||||
\(587\) | 2.96822 | − | 11.0776i | 0.122512 | − | 0.457220i | −0.877227 | − | 0.480076i | \(-0.840609\pi\) |
0.999739 | + | 0.0228560i | \(0.00727592\pi\) | |||||||
\(588\) | 6.67413 | − | 3.24922i | 0.275237 | − | 0.133996i | ||||
\(589\) | −9.29434 | − | 27.1153i | −0.382967 | − | 1.11727i | ||||
\(590\) | −23.3058 | − | 3.90871i | −0.959484 | − | 0.160919i | ||||
\(591\) | 1.30822 | + | 2.26591i | 0.0538132 | + | 0.0932071i | ||||
\(592\) | 2.78474 | − | 2.09215i | 0.114452 | − | 0.0859868i | ||||
\(593\) | 3.25592 | − | 5.63943i | 0.133705 | − | 0.231583i | −0.791397 | − | 0.611302i | \(-0.790646\pi\) |
0.925102 | + | 0.379719i | \(0.123979\pi\) | |||||||
\(594\) | 4.84474 | + | 12.9722i | 0.198782 | + | 0.532254i | ||||
\(595\) | 0.551621 | + | 2.05868i | 0.0226143 | + | 0.0843976i | ||||
\(596\) | −14.2258 | − | 29.2208i | −0.582711 | − | 1.19693i | ||||
\(597\) | 5.61730 | + | 5.61730i | 0.229901 | + | 0.229901i | ||||
\(598\) | −0.00763119 | − | 0.0795543i | −0.000312062 | − | 0.00325322i | ||||
\(599\) | −24.6340 | − | 14.2225i | −1.00652 | − | 0.581114i | −0.0963479 | − | 0.995348i | \(-0.530716\pi\) |
−0.910170 | + | 0.414234i | \(0.864049\pi\) | |||||||
\(600\) | 3.31756 | − | 0.978793i | 0.135439 | − | 0.0399590i | ||||
\(601\) | 44.8123i | 1.82793i | 0.405791 | + | 0.913966i | \(0.366996\pi\) | ||||
−0.405791 | + | 0.913966i | \(0.633004\pi\) | |||||||
\(602\) | −1.17375 | + | 0.112591i | −0.0478385 | + | 0.00458887i | ||||
\(603\) | 1.48827 | − | 5.55428i | 0.0606068 | − | 0.226188i | ||||
\(604\) | 16.4076 | + | 18.9024i | 0.667617 | + | 0.769127i | ||||
\(605\) | −1.06526 | − | 0.285435i | −0.0433089 | − | 0.0116046i | ||||
\(606\) | 4.83589 | − | 1.80607i | 0.196445 | − | 0.0733667i | ||||
\(607\) | 1.87806 | 0.0762280 | 0.0381140 | − | 0.999273i | \(-0.487865\pi\) | ||||
0.0381140 | + | 0.999273i | \(0.487865\pi\) | |||||||
\(608\) | 21.0652 | − | 12.8163i | 0.854307 | − | 0.519768i | ||||
\(609\) | 0.612446 | 0.0248176 | ||||||||
\(610\) | −19.6740 | + | 7.34771i | −0.796577 | + | 0.297500i | ||||
\(611\) | −68.9412 | − | 18.4727i | −2.78906 | − | 0.747327i | ||||
\(612\) | −24.1457 | − | 27.8171i | −0.976034 | − | 1.12444i | ||||
\(613\) | −8.94970 | + | 33.4008i | −0.361475 | + | 1.34904i | 0.510662 | + | 0.859782i | \(0.329400\pi\) |
−0.872137 | + | 0.489262i | \(0.837266\pi\) | |||||||
\(614\) | −34.5411 | + | 3.31333i | −1.39396 | + | 0.133715i | ||||
\(615\) | − | 5.25175i | − | 0.211771i | ||||||
\(616\) | −0.491513 | − | 1.66595i | −0.0198036 | − | 0.0671231i | ||||
\(617\) | −9.89372 | − | 5.71214i | −0.398306 | − | 0.229962i | 0.287447 | − | 0.957797i | \(-0.407194\pi\) |
−0.685753 | + | 0.727834i | \(0.740527\pi\) | |||||||
\(618\) | −0.558369 | − | 5.82094i | −0.0224609 | − | 0.234153i | ||||
\(619\) | 26.4542 | + | 26.4542i | 1.06328 | + | 1.06328i | 0.997857 | + | 0.0654250i | \(0.0208403\pi\) |
0.0654250 | + | 0.997857i | \(0.479160\pi\) | |||||||
\(620\) | 9.46930 | + | 19.4506i | 0.380296 | + | 0.781155i | ||||
\(621\) | 0.00795947 | + | 0.0297052i | 0.000319403 | + | 0.00119203i | ||||
\(622\) | −10.6234 | − | 28.4450i | −0.425961 | − | 1.14054i | ||||
\(623\) | 0.164007 | − | 0.284068i | 0.00657080 | − | 0.0113810i | ||||
\(624\) | 11.8170 | + | 1.67820i | 0.473060 | + | 0.0671819i | ||||
\(625\) | −4.13179 | − | 7.15647i | −0.165271 | − | 0.286259i | ||||
\(626\) | −11.6415 | − | 1.95245i | −0.465288 | − | 0.0780355i | ||||
\(627\) | 4.90658 | − | 5.62854i | 0.195950 | − | 0.224782i | ||||
\(628\) | −17.7908 | + | 8.66125i | −0.709931 | + | 0.345622i | ||||
\(629\) | −1.52832 | + | 5.70376i | −0.0609380 | + | 0.227424i | ||||
\(630\) | −1.09828 | − | 0.500996i | −0.0437566 | − | 0.0199601i | ||||
\(631\) | 30.8113 | + | 17.7889i | 1.22658 | + | 0.708166i | 0.966313 | − | 0.257371i | \(-0.0828562\pi\) |
0.260267 | + | 0.965537i | \(0.416190\pi\) | |||||||
\(632\) | −38.6027 | + | 0.968959i | −1.53553 | + | 0.0385431i | ||||
\(633\) | 2.29598 | + | 1.32558i | 0.0912569 | + | 0.0526872i | ||||
\(634\) | 16.5278 | + | 23.1889i | 0.656404 | + | 0.920949i | ||||
\(635\) | 0.264267 | + | 0.264267i | 0.0104871 | + | 0.0104871i | ||||
\(636\) | −2.84639 | + | 2.47072i | −0.112867 | + | 0.0979705i | ||||
\(637\) | 10.0898 | + | 37.6557i | 0.399773 | + | 1.49197i | ||||
\(638\) | −4.52109 | + | 26.9571i | −0.178992 | + | 1.06724i | ||||
\(639\) | 37.3771 | 1.47862 | ||||||||
\(640\) | −14.5932 | + | 11.5478i | −0.576848 | + | 0.456468i | ||||
\(641\) | 5.08407 | + | 8.80587i | 0.200809 | + | 0.347811i | 0.948789 | − | 0.315910i | \(-0.102310\pi\) |
−0.747980 | + | 0.663721i | \(0.768976\pi\) | |||||||
\(642\) | −2.73327 | − | 2.25479i | −0.107873 | − | 0.0889896i | ||||
\(643\) | 18.2415 | + | 4.88779i | 0.719374 | + | 0.192756i | 0.599892 | − | 0.800081i | \(-0.295210\pi\) |
0.119482 | + | 0.992836i | \(0.461877\pi\) | |||||||
\(644\) | −0.000733313 | − | 0.00378718i | −2.88966e−5 | − | 0.000149236i | ||||
\(645\) | 2.70513 | + | 2.70513i | 0.106515 | + | 0.106515i | ||||
\(646\) | −14.7083 | + | 39.1297i | −0.578689 | + | 1.53954i | ||||
\(647\) | 3.01622i | 0.118580i | 0.998241 | + | 0.0592899i | \(0.0188836\pi\) | ||||
−0.998241 | + | 0.0592899i | \(0.981116\pi\) | |||||||
\(648\) | 18.4467 | − | 0.463026i | 0.724653 | − | 0.0181894i | ||||
\(649\) | −28.2757 | + | 16.3250i | −1.10992 | + | 0.640811i | ||||
\(650\) | 1.73455 | + | 18.0825i | 0.0680346 | + | 0.709253i | ||||
\(651\) | 0.173333 | − | 0.646888i | 0.00679346 | − | 0.0253536i | ||||
\(652\) | 1.13778 | − | 16.1037i | 0.0445588 | − | 0.630668i | ||||
\(653\) | −10.9451 | + | 10.9451i | −0.428315 | + | 0.428315i | −0.888054 | − | 0.459739i | \(-0.847943\pi\) |
0.459739 | + | 0.888054i | \(0.347943\pi\) | |||||||
\(654\) | 1.51463 | + | 0.254025i | 0.0592267 | + | 0.00993316i | ||||
\(655\) | −10.2111 | + | 17.6862i | −0.398982 | + | 0.691056i | ||||
\(656\) | −8.94390 | − | 22.2294i | −0.349200 | − | 0.867912i | ||||
\(657\) | 40.9399 | 1.59722 | ||||||||
\(658\) | −3.39756 | − | 0.569820i | −0.132451 | − | 0.0222139i | ||||
\(659\) | −9.94129 | − | 37.1014i | −0.387258 | − | 1.44526i | −0.834577 | − | 0.550891i | \(-0.814288\pi\) |
0.447320 | − | 0.894374i | \(-0.352379\pi\) | |||||||
\(660\) | −3.15466 | + | 4.66969i | −0.122795 | + | 0.181767i | ||||
\(661\) | −4.34511 | + | 1.16427i | −0.169005 | + | 0.0452848i | −0.342329 | − | 0.939580i | \(-0.611216\pi\) |
0.173324 | + | 0.984865i | \(0.444549\pi\) | |||||||
\(662\) | 6.63337 | + | 3.02590i | 0.257813 | + | 0.117605i | ||||
\(663\) | −17.5238 | + | 10.1174i | −0.680568 | + | 0.392926i | ||||
\(664\) | −10.1582 | − | 34.4304i | −0.394213 | − | 1.33616i | ||||
\(665\) | 0.0936613 | + | 1.36676i | 0.00363203 | + | 0.0530005i | ||||
\(666\) | −1.94120 | − | 2.72354i | −0.0752198 | − | 0.105535i | ||||
\(667\) | −0.0157114 | + | 0.0586359i | −0.000608349 | + | 0.00227039i | ||||
\(668\) | −8.26467 | + | 1.60029i | −0.319770 | + | 0.0619171i | ||||
\(669\) | 0.612805 | + | 2.28702i | 0.0236924 | + | 0.0884213i | ||||
\(670\) | 4.61381 | − | 1.72313i | 0.178247 | − | 0.0665704i | ||||
\(671\) | −14.5081 | + | 25.1288i | −0.560080 | + | 0.970087i | ||||
\(672\) | 0.575509 | + | 0.0261695i | 0.0222008 | + | 0.00100951i | ||||
\(673\) | 14.8313 | 0.571706 | 0.285853 | − | 0.958274i | \(-0.407723\pi\) | ||||
0.285853 | + | 0.958274i | \(0.407723\pi\) | |||||||
\(674\) | −14.2838 | − | 11.7833i | −0.550190 | − | 0.453875i | ||||
\(675\) | −1.80917 | − | 6.75191i | −0.0696349 | − | 0.259881i | ||||
\(676\) | −11.9679 | + | 34.6758i | −0.460303 | + | 1.33369i | ||||
\(677\) | −20.0270 | − | 20.0270i | −0.769700 | − | 0.769700i | 0.208354 | − | 0.978054i | \(-0.433190\pi\) |
−0.978054 | + | 0.208354i | \(0.933190\pi\) | |||||||
\(678\) | −1.60892 | + | 0.154335i | −0.0617903 | + | 0.00592719i | ||||
\(679\) | −0.821276 | + | 0.474164i | −0.0315177 | + | 0.0181967i | ||||
\(680\) | 7.39828 | − | 30.6695i | 0.283711 | − | 1.17612i | ||||
\(681\) | 9.67707 | − | 5.58706i | 0.370826 | − | 0.214097i | ||||
\(682\) | 27.1936 | + | 12.4047i | 1.04130 | + | 0.475000i | ||||
\(683\) | −33.7175 | − | 33.7175i | −1.29017 | − | 1.29017i | −0.934683 | − | 0.355483i | \(-0.884316\pi\) |
−0.355483 | − | 0.934683i | \(-0.615684\pi\) | |||||||
\(684\) | −11.7950 | − | 20.5297i | −0.450993 | − | 0.784972i | ||||
\(685\) | 21.7688 | − | 21.7688i | 0.831743 | − | 0.831743i | ||||
\(686\) | 1.32013 | + | 3.53473i | 0.0504026 | + | 0.134957i | ||||
\(687\) | −0.216663 | − | 0.375271i | −0.00826619 | − | 0.0143175i | ||||
\(688\) | 16.0571 | + | 6.84326i | 0.612172 | + | 0.260897i | ||||
\(689\) | −9.89731 | − | 17.1427i | −0.377058 | − | 0.653083i | ||||
\(690\) | −0.00796432 | + | 0.00965438i | −0.000303197 | + | 0.000367536i | ||||
\(691\) | 11.3775 | − | 11.3775i | 0.432820 | − | 0.432820i | −0.456766 | − | 0.889587i | \(-0.650992\pi\) |
0.889587 | + | 0.456766i | \(0.150992\pi\) | |||||||
\(692\) | 13.1623 | − | 6.40791i | 0.500356 | − | 0.243592i | ||||
\(693\) | −1.61102 | + | 0.431672i | −0.0611976 | + | 0.0163979i | ||||
\(694\) | 0.149502 | + | 1.55855i | 0.00567503 | + | 0.0591616i | ||||
\(695\) | − | 10.8811i | − | 0.412745i | ||||||
\(696\) | −7.96258 | − | 4.33452i | −0.301821 | − | 0.164299i | ||||
\(697\) | 35.1797 | + | 20.3110i | 1.33253 | + | 0.769335i | ||||
\(698\) | 0.126637 | − | 0.277614i | 0.00479329 | − | 0.0105078i | ||||
\(699\) | 4.00495 | − | 1.07312i | 0.151481 | − | 0.0405893i | ||||
\(700\) | 0.166680 | + | 0.860817i | 0.00629992 | + | 0.0325358i | ||||
\(701\) | −13.8586 | − | 3.71341i | −0.523433 | − | 0.140254i | −0.0125792 | − | 0.999921i | \(-0.504004\pi\) |
−0.510854 | + | 0.859667i | \(0.670671\pi\) | |||||||
\(702\) | 3.98962 | − | 23.7882i | 0.150579 | − | 0.897828i | ||||
\(703\) | −1.66863 | + | 3.40915i | −0.0629336 | + | 0.128578i | ||||
\(704\) | −5.40029 | + | 25.1382i | −0.203531 | + | 0.947430i | ||||
\(705\) | 5.58856 | + | 9.67968i | 0.210478 | + | 0.364558i | ||||
\(706\) | 26.4239 | − | 9.86860i | 0.994476 | − | 0.371410i | ||||
\(707\) | 0.338678 | + | 1.26397i | 0.0127373 | + | 0.0475363i | ||||
\(708\) | −2.05862 | − | 10.6317i | −0.0773678 | − | 0.399565i | ||||
\(709\) | 5.25711 | − | 1.40864i | 0.197435 | − | 0.0529026i | −0.158746 | − | 0.987319i | \(-0.550745\pi\) |
0.356181 | + | 0.934417i | \(0.384079\pi\) | |||||||
\(710\) | 18.5810 | + | 26.0695i | 0.697333 | + | 0.978373i | ||||
\(711\) | 37.0788i | 1.39056i | ||||||||
\(712\) | −4.14276 | + | 2.53251i | −0.155257 | + | 0.0949099i | ||||
\(713\) | 0.0574868 | + | 0.0331900i | 0.00215290 | + | 0.00124298i | ||||
\(714\) | −0.795338 | + | 0.566876i | −0.0297648 | + | 0.0212148i | ||||
\(715\) | −20.9274 | − | 20.9274i | −0.782641 | − | 0.782641i | ||||
\(716\) | 1.47611 | − | 20.8923i | 0.0551648 | − | 0.780782i | ||||
\(717\) | 11.0709 | + | 2.96643i | 0.413450 | + | 0.110784i | ||||
\(718\) | 10.0522 | − | 12.1853i | 0.375144 | − | 0.454751i | ||||
\(719\) | 1.47622 | + | 2.55689i | 0.0550537 | + | 0.0953557i | 0.892239 | − | 0.451564i | \(-0.149134\pi\) |
−0.837185 | + | 0.546920i | \(0.815800\pi\) | |||||||
\(720\) | 10.7333 | + | 14.2866i | 0.400008 | + | 0.532429i | ||||
\(721\) | 1.48232 | 0.0552047 | ||||||||
\(722\) | −14.1116 | + | 22.8662i | −0.525178 | + | 0.850992i | ||||
\(723\) | −3.32401 | + | 3.32401i | −0.123621 | + | 0.123621i | ||||
\(724\) | −22.9746 | + | 34.0082i | −0.853845 | + | 1.26390i | ||||
\(725\) | 3.57117 | − | 13.3278i | 0.132630 | − | 0.494981i | ||||
\(726\) | −0.0482570 | − | 0.503074i | −0.00179098 | − | 0.0186708i | ||||
\(727\) | 37.0159 | − | 21.3712i | 1.37285 | − | 0.792613i | 0.381560 | − | 0.924344i | \(-0.375387\pi\) |
0.991285 | + | 0.131731i | \(0.0420536\pi\) | |||||||
\(728\) | −0.709493 | + | 2.94120i | −0.0262956 | + | 0.109008i | ||||
\(729\) | − | 12.8470i | − | 0.475815i | ||||||
\(730\) | 20.3521 | + | 28.5545i | 0.753266 | + | 1.05685i | ||||
\(731\) | −28.5828 | + | 7.65875i | −1.05717 | + | 0.283269i | ||||
\(732\) | −6.30866 | − | 7.26789i | −0.233175 | − | 0.268629i | ||||
\(733\) | 5.41912 | − | 5.41912i | 0.200160 | − | 0.200160i | −0.599909 | − | 0.800068i | \(-0.704796\pi\) |
0.800068 | + | 0.599909i | \(0.204796\pi\) | |||||||
\(734\) | −3.80807 | + | 22.7057i | −0.140559 | + | 0.838084i | ||||
\(735\) | 3.05248 | − | 5.28704i | 0.112592 | − | 0.195016i | ||||
\(736\) | −0.0172694 | + | 0.0544282i | −0.000636557 | + | 0.00200625i | ||||
\(737\) | 3.40234 | − | 5.89303i | 0.125327 | − | 0.217073i | ||||
\(738\) | −21.5539 | + | 8.04980i | −0.793410 | + | 0.296317i | ||||
\(739\) | −25.3837 | − | 6.80154i | −0.933754 | − | 0.250199i | −0.240299 | − | 0.970699i | \(-0.577246\pi\) |
−0.693455 | + | 0.720500i | \(0.743912\pi\) | |||||||
\(740\) | 0.934582 | − | 2.70786i | 0.0343559 | − | 0.0995430i | ||||
\(741\) | −12.3038 | + | 4.21739i | −0.451991 | + | 0.154930i | ||||
\(742\) | −0.554546 | − | 0.778039i | −0.0203580 | − | 0.0285627i | ||||
\(743\) | −16.0435 | + | 9.26272i | −0.588579 | + | 0.339816i | −0.764535 | − | 0.644582i | \(-0.777032\pi\) |
0.175956 | + | 0.984398i | \(0.443698\pi\) | |||||||
\(744\) | −6.83183 | + | 7.18363i | −0.250467 | + | 0.263365i | ||||
\(745\) | −23.1478 | − | 13.3644i | −0.848071 | − | 0.489634i | ||||
\(746\) | −16.6612 | − | 7.60022i | −0.610010 | − | 0.278264i | ||||
\(747\) | −33.2952 | + | 8.92141i | −1.21821 | + | 0.326417i | ||||
\(748\) | −19.0801 | − | 39.1919i | −0.697638 | − | 1.43300i | ||||
\(749\) | 0.635114 | − | 0.635114i | 0.0232066 | − | 0.0232066i | ||||
\(750\) | 5.75522 | − | 6.97650i | 0.210151 | − | 0.254746i | ||||
\(751\) | 15.0608 | − | 26.0861i | 0.549576 | − | 0.951894i | −0.448727 | − | 0.893669i | \(-0.648122\pi\) |
0.998303 | − | 0.0582254i | \(-0.0185442\pi\) | |||||||
\(752\) | 40.1399 | + | 31.4543i | 1.46375 | + | 1.14702i | ||||
\(753\) | −3.72775 | −0.135847 | ||||||||
\(754\) | 30.2983 | − | 36.7277i | 1.10340 | − | 1.33754i | ||||
\(755\) | 19.8842 | + | 5.32796i | 0.723661 | + | 0.193904i | ||||
\(756\) | 0.0820527 | − | 1.16134i | 0.00298423 | − | 0.0422376i | ||||
\(757\) | −7.02913 | + | 26.2331i | −0.255478 | + | 0.953457i | 0.712346 | + | 0.701828i | \(0.247633\pi\) |
−0.967824 | + | 0.251628i | \(0.919034\pi\) | |||||||
\(758\) | 8.14075 | + | 3.71351i | 0.295685 | + | 0.134881i | ||||
\(759\) | 0.0172919i | 0.000627656i | ||||||||
\(760\) | 8.45535 | − | 18.4325i | 0.306708 | − | 0.668616i | ||||
\(761\) | − | 2.78728i | − | 0.101039i | −0.998723 | − | 0.0505194i | \(-0.983912\pi\) | ||
0.998723 | − | 0.0505194i | \(-0.0160877\pi\) | |||||||
\(762\) | −0.0710785 | + | 0.155818i | −0.00257490 | + | 0.00564470i | ||||
\(763\) | −0.100760 | + | 0.376041i | −0.00364775 | + | 0.0136136i | ||||
\(764\) | −7.52838 | + | 6.53477i | −0.272367 | + | 0.236420i | ||||
\(765\) | −29.2620 | − | 7.84072i | −1.05797 | − | 0.283482i | ||||
\(766\) | −7.44224 | − | 6.13942i | −0.268899 | − | 0.221826i | ||||
\(767\) | 56.8724 | 2.05354 | ||||||||
\(768\) | −7.29715 | − | 4.41334i | −0.263313 | − | 0.159253i | ||||
\(769\) | 18.2546 | − | 31.6180i | 0.658279 | − | 1.14017i | −0.322781 | − | 0.946474i | \(-0.604618\pi\) |
0.981061 | − | 0.193700i | \(-0.0620488\pi\) | |||||||
\(770\) | −1.10195 | − | 0.909050i | −0.0397117 | − | 0.0327599i | ||||
\(771\) | −6.43088 | + | 6.43088i | −0.231602 | + | 0.231602i | ||||
\(772\) | 14.8014 | + | 5.10849i | 0.532713 | + | 0.183859i | ||||
\(773\) | 10.4306 | − | 2.79488i | 0.375163 | − | 0.100525i | −0.0663101 | − | 0.997799i | \(-0.521123\pi\) |
0.441473 | + | 0.897274i | \(0.354456\pi\) | |||||||
\(774\) | 6.95586 | − | 15.2486i | 0.250023 | − | 0.548101i | ||||
\(775\) | −13.0666 | − | 7.54400i | −0.469366 | − | 0.270989i | ||||
\(776\) | 14.0335 | − | 0.352252i | 0.503773 | − | 0.0126451i | ||||
\(777\) | −0.0767999 | + | 0.0443405i | −0.00275518 | + | 0.00159071i | ||||
\(778\) | −28.7032 | + | 20.4582i | −1.02906 | + | 0.733461i | ||||
\(779\) | 19.6825 | + | 17.1579i | 0.705197 | + | 0.614744i | ||||
\(780\) | 8.82589 | − | 4.29678i | 0.316017 | − | 0.153849i | ||||
\(781\) | 42.7242 | + | 11.4479i | 1.52879 | + | 0.409639i | ||||
\(782\) | −0.0338697 | − | 0.0906884i | −0.00121118 | − | 0.00324301i | ||||
\(783\) | −9.16057 | + | 15.8666i | −0.327372 | + | 0.567025i | ||||
\(784\) | 3.91640 | − | 27.5773i | 0.139871 | − | 0.984902i | ||||
\(785\) | −8.13680 | + | 14.0933i | −0.290415 | + | 0.503013i | ||||
\(786\) | −9.22973 | − | 1.54796i | −0.329214 | − | 0.0552138i | ||||
\(787\) | 3.12760 | − | 3.12760i | 0.111487 | − | 0.111487i | −0.649163 | − | 0.760650i | \(-0.724881\pi\) |
0.760650 | + | 0.649163i | \(0.224881\pi\) | |||||||
\(788\) | 9.79346 | + | 0.691940i | 0.348878 | + | 0.0246494i | ||||
\(789\) | −0.881206 | + | 0.236118i | −0.0313718 | + | 0.00840604i | ||||
\(790\) | −25.8614 | + | 18.4327i | −0.920108 | + | 0.655805i | ||||
\(791\) | − | 0.409718i | − | 0.0145679i | ||||||
\(792\) | 24.0005 | + | 5.78953i | 0.852819 | + | 0.205722i | ||||
\(793\) | 43.7715 | − | 25.2715i | 1.55437 | − | 0.897417i | ||||
\(794\) | −6.99944 | + | 0.671416i | −0.248401 | + | 0.0238277i | ||||
\(795\) | −0.802304 | + | 2.99424i | −0.0284548 | + | 0.106195i | ||||
\(796\) | 29.2655 | − | 5.66668i | 1.03729 | − | 0.200850i | ||||
\(797\) | −10.2214 | + | 10.2214i | −0.362062 | + | 0.362062i | −0.864572 | − | 0.502510i | \(-0.832410\pi\) |
0.502510 | + | 0.864572i | \(0.332410\pi\) | |||||||
\(798\) | −0.571725 | + | 0.259340i | −0.0202388 | + | 0.00918054i | ||||
\(799\) | −86.4546 | −3.05854 | ||||||||
\(800\) | 3.92528 | − | 12.3714i | 0.138780 | − | 0.437395i | ||||
\(801\) | 2.33119 | + | 4.03773i | 0.0823684 | + | 0.142666i | ||||
\(802\) | −30.2071 | − | 24.9192i | −1.06665 | − | 0.879927i | ||||
\(803\) | 46.7966 | + | 12.5391i | 1.65142 | + | 0.442496i | ||||
\(804\) | 1.47946 | + | 1.70442i | 0.0521767 | + | 0.0601101i | ||||
\(805\) | −0.00224334 | − | 0.00224334i | −7.90672e−5 | − | 7.90672e-5i | ||||
\(806\) | −30.2182 | − | 42.3967i | −1.06439 | − | 1.49336i | ||||
\(807\) | 5.29051 | + | 3.05448i | 0.186235 | + | 0.107523i | ||||
\(808\) | 4.54232 | − | 18.8301i | 0.159798 | − | 0.662442i | ||||
\(809\) | 1.90884i | 0.0671113i | 0.999437 | + | 0.0335557i | \(0.0106831\pi\) | ||||
−0.999437 | + | 0.0335557i | \(0.989317\pi\) | |||||||
\(810\) | 12.3581 | − | 8.80823i | 0.434221 | − | 0.309490i | ||||
\(811\) | 1.43601 | − | 0.384778i | 0.0504252 | − | 0.0135114i | −0.233518 | − | 0.972352i | \(-0.575024\pi\) |
0.283943 | + | 0.958841i | \(0.408357\pi\) | |||||||
\(812\) | 1.28647 | − | 1.90430i | 0.0451462 | − | 0.0668278i | ||||
\(813\) | 1.85716 | + | 6.93101i | 0.0651334 | + | 0.243081i | ||||
\(814\) | −1.38473 | − | 3.70771i | −0.0485347 | − | 0.129955i | ||||
\(815\) | −6.63860 | − | 11.4984i | −0.232540 | − | 0.402771i | ||||
\(816\) | 14.3524 | − | 1.74119i | 0.502435 | − | 0.0609540i | ||||
\(817\) | −18.9761 | + | 1.30040i | −0.663891 | + | 0.0454952i | ||||
\(818\) | 46.6115 | + | 7.81741i | 1.62973 | + | 0.273329i | ||||
\(819\) | 2.80621 | + | 0.751923i | 0.0980571 | + | 0.0262743i | ||||
\(820\) | −16.3294 | − | 11.0315i | −0.570249 | − | 0.385238i | ||||
\(821\) | 37.8372 | − | 10.1385i | 1.32053 | − | 0.353834i | 0.471352 | − | 0.881945i | \(-0.343766\pi\) |
0.849176 | + | 0.528110i | \(0.177099\pi\) | |||||||
\(822\) | 12.8354 | + | 5.85504i | 0.447687 | + | 0.204218i | ||||
\(823\) | 37.8604 | + | 21.8587i | 1.31973 | + | 0.761947i | 0.983685 | − | 0.179898i | \(-0.0575768\pi\) |
0.336046 | + | 0.941845i | \(0.390910\pi\) | |||||||
\(824\) | −19.2721 | − | 10.4910i | −0.671377 | − | 0.365471i | ||||
\(825\) | − | 3.93040i | − | 0.136839i | ||||||
\(826\) | 2.73256 | − | 0.262118i | 0.0950778 | − | 0.00912026i | ||||
\(827\) | −1.59518 | + | 0.427429i | −0.0554700 | + | 0.0148631i | −0.286447 | − | 0.958096i | \(-0.592474\pi\) |
0.230977 | + | 0.972959i | \(0.425808\pi\) | |||||||
\(828\) | 0.0518305 | + | 0.0178886i | 0.00180123 | + | 0.000621672i | ||||
\(829\) | 18.3212 | − | 18.3212i | 0.636323 | − | 0.636323i | −0.313324 | − | 0.949646i | \(-0.601443\pi\) |
0.949646 | + | 0.313324i | \(0.101443\pi\) | |||||||
\(830\) | −22.7742 | − | 18.7874i | −0.790505 | − | 0.652122i | ||||
\(831\) | −5.98847 | − | 10.3723i | −0.207738 | − | 0.359812i | ||||
\(832\) | 30.0403 | − | 33.2180i | 1.04146 | − | 1.15163i | ||||
\(833\) | 23.6108 | + | 40.8950i | 0.818064 | + | 1.41693i | ||||
\(834\) | 4.67121 | − | 1.74457i | 0.161751 | − | 0.0604095i | ||||
\(835\) | −4.89557 | + | 4.89557i | −0.169418 | + | 0.169418i | ||||
\(836\) | −7.19450 | − | 27.0792i | −0.248827 | − | 0.936554i | ||||
\(837\) | 14.1663 | + | 14.1663i | 0.489657 | + | 0.489657i | ||||
\(838\) | 12.5056 | − | 27.4148i | 0.431999 | − | 0.947028i | ||||
\(839\) | −12.7500 | + | 7.36122i | −0.440179 | + | 0.254137i | −0.703673 | − | 0.710523i | \(-0.748458\pi\) |
0.263495 | + | 0.964661i | \(0.415125\pi\) | |||||||
\(840\) | 0.404255 | − | 0.247125i | 0.0139481 | − | 0.00852663i | ||||
\(841\) | −6.20472 | + | 3.58230i | −0.213956 | + | 0.123528i | ||||
\(842\) | 2.16096 | + | 22.5278i | 0.0744715 | + | 0.776358i | ||||
\(843\) | −5.11768 | − | 5.11768i | −0.176262 | − | 0.176262i | ||||
\(844\) | 8.94449 | − | 4.35452i | 0.307882 | − | 0.149889i | ||||
\(845\) | 7.80839 | + | 29.1413i | 0.268617 | + | 1.00249i | ||||
\(846\) | 31.1607 | − | 37.7731i | 1.07133 | − | 1.29867i | ||||
\(847\) | 0.128110 | 0.00440190 | ||||||||
\(848\) | 1.70332 | + | 14.0402i | 0.0584924 | + | 0.482144i | ||||
\(849\) | −6.82596 | + | 11.8229i | −0.234266 | + | 0.405761i | ||||
\(850\) | 7.69849 | + | 20.6132i | 0.264056 | + | 0.707029i | ||||
\(851\) | −0.00227498 | − | 0.00849035i | −7.79854e−5 | − | 0.000291046i | ||||
\(852\) | −8.21243 | + | 12.1565i | −0.281353 | + | 0.416473i | ||||
\(853\) | 4.98598 | − | 18.6079i | 0.170717 | − | 0.637123i | −0.826525 | − | 0.562900i | \(-0.809686\pi\) |
0.997242 | − | 0.0742233i | \(-0.0236478\pi\) | |||||||
\(854\) | 1.98662 | − | 1.41596i | 0.0679808 | − | 0.0484532i | ||||
\(855\) | −17.4899 | − | 8.56057i | −0.598143 | − | 0.292765i | ||||
\(856\) | −12.7523 | + | 3.76235i | −0.435863 | + | 0.128595i | ||||
\(857\) | 0.205233 | − | 0.118491i | 0.00701062 | − | 0.00404759i | −0.496491 | − | 0.868042i | \(-0.665378\pi\) |
0.503501 | + | 0.863995i | \(0.332045\pi\) | |||||||
\(858\) | 5.62874 | − | 12.3393i | 0.192162 | − | 0.421257i | ||||
\(859\) | 31.1030 | − | 8.33403i | 1.06122 | − | 0.284353i | 0.314340 | − | 0.949311i | \(-0.398217\pi\) |
0.746881 | + | 0.664957i | \(0.231550\pi\) | |||||||
\(860\) | 14.0934 | − | 2.72891i | 0.480582 | − | 0.0930551i | ||||
\(861\) | 0.157896 | + | 0.589276i | 0.00538108 | + | 0.0200825i | ||||
\(862\) | −6.44897 | + | 38.4521i | −0.219653 | + | 1.30968i | ||||
\(863\) | 27.1777 | 0.925140 | 0.462570 | − | 0.886583i | \(-0.346927\pi\) | ||||
0.462570 | + | 0.886583i | \(0.346927\pi\) | |||||||
\(864\) | −9.28606 | + | 14.5182i | −0.315918 | + | 0.493920i | ||||
\(865\) | 6.01990 | − | 10.4268i | 0.204683 | − | 0.354521i | ||||
\(866\) | 8.54388 | − | 50.9431i | 0.290333 | − | 1.73112i | ||||
\(867\) | −10.9244 | + | 10.9244i | −0.371013 | + | 0.371013i | ||||
\(868\) | −1.64730 | − | 1.89777i | −0.0559129 | − | 0.0644145i | ||||
\(869\) | −11.3565 | + | 42.3831i | −0.385244 | + | 1.43775i | ||||
\(870\) | −7.42204 | + | 0.711953i | −0.251631 | + | 0.0241375i | ||||
\(871\) | −10.2650 | + | 5.92649i | −0.347816 | + | 0.200812i | ||||
\(872\) | 3.97140 | − | 4.17590i | 0.134488 | − | 0.141414i | ||||
\(873\) | − | 13.4795i | − | 0.456212i | ||||||
\(874\) | −0.0101626 | − | 0.0613902i | −0.000343754 | − | 0.00207655i | ||||
\(875\) | 1.62109 | + | 1.62109i | 0.0548028 | + | 0.0548028i | ||||
\(876\) | −8.99522 | + | 13.3152i | −0.303920 | + | 0.449879i | ||||
\(877\) | 36.1844 | + | 9.69559i | 1.22186 | + | 0.327397i | 0.811406 | − | 0.584484i | \(-0.198703\pi\) |
0.410456 | + | 0.911880i | \(0.365370\pi\) | |||||||
\(878\) | 16.6343 | − | 20.1642i | 0.561380 | − | 0.680508i | ||||
\(879\) | 1.48405 | + | 2.57045i | 0.0500557 | + | 0.0866990i | ||||
\(880\) | 7.89312 | + | 19.6178i | 0.266077 | + | 0.661315i | ||||
\(881\) | −52.3185 | −1.76265 | −0.881327 | − | 0.472507i | \(-0.843349\pi\) | ||||
−0.881327 | + | 0.472507i | \(0.843349\pi\) | |||||||
\(882\) | −26.3775 | − | 4.42389i | −0.888178 | − | 0.148960i | ||||
\(883\) | 2.11503 | + | 7.89341i | 0.0711766 | + | 0.265635i | 0.992339 | − | 0.123543i | \(-0.0394258\pi\) |
−0.921163 | + | 0.389178i | \(0.872759\pi\) | |||||||
\(884\) | −5.35124 | + | 75.7393i | −0.179982 | + | 2.54739i | ||||
\(885\) | −6.29770 | − | 6.29770i | −0.211695 | − | 0.211695i | ||||
\(886\) | 26.2446 | − | 18.7058i | 0.881706 | − | 0.628434i | ||||
\(887\) | 7.63169 | + | 4.40616i | 0.256247 | + | 0.147944i | 0.622621 | − | 0.782523i | \(-0.286068\pi\) |
−0.366374 | + | 0.930468i | \(0.619401\pi\) | |||||||
\(888\) | 1.31231 | − | 0.0329401i | 0.0440383 | − | 0.00110540i | ||||
\(889\) | −0.0375975 | − | 0.0217069i | −0.00126098 | − | 0.000728027i | ||||
\(890\) | −1.65733 | + | 3.63319i | −0.0555537 | + | 0.121785i | ||||
\(891\) | 5.42683 | − | 20.2532i | 0.181806 | − | 0.678507i | ||||
\(892\) | 8.39834 | + | 2.89857i | 0.281197 | + | 0.0970514i | ||||
\(893\) | −54.5356 | − | 10.6795i | −1.82497 | − | 0.357374i | ||||
\(894\) | 2.02598 | − | 12.0800i | 0.0677589 | − | 0.404014i | ||||
\(895\) | −8.61267 | − | 14.9176i | −0.287890 | − | 0.498640i | ||||
\(896\) | 1.29025 | − | 1.73448i | 0.0431043 | − | 0.0579449i | ||||
\(897\) | 0.0150603 | − | 0.0260851i | 0.000502847 | − | 0.000870957i | ||||
\(898\) | −6.19091 | + | 2.31214i | −0.206593 | + | 0.0771570i | ||||
\(899\) | 10.2352 | + | 38.1984i | 0.341364 | + | 1.27399i | ||||
\(900\) | −11.7809 | − | 4.06603i | −0.392698 | − | 0.135534i | ||||
\(901\) | −16.9545 | − | 16.9545i | −0.564837 | − | 0.564837i | ||||
\(902\) | −27.1029 | + | 2.59982i | −0.902426 | + | 0.0865646i | ||||
\(903\) | −0.384862 | − | 0.222200i | −0.0128074 | − | 0.00739436i | ||||
\(904\) | −2.89974 | + | 5.32686i | −0.0964438 | + | 0.177169i | ||||
\(905\) | 33.7537i | 1.12201i | ||||||||
\(906\) | 0.900769 | + | 9.39042i | 0.0299260 | + | 0.311976i | ||||
\(907\) | −12.9190 | + | 48.2143i | −0.428968 | + | 1.60093i | 0.326134 | + | 0.945323i | \(0.394254\pi\) |
−0.755102 | + | 0.655607i | \(0.772413\pi\) | |||||||
\(908\) | 2.95508 | − | 41.8251i | 0.0980679 | − | 1.38802i | ||||
\(909\) | −17.9659 | − | 4.81396i | −0.595893 | − | 0.159669i | ||||
\(910\) | 0.870586 | + | 2.33106i | 0.0288596 | + | 0.0772738i | ||||
\(911\) | 14.1150 | 0.467651 | 0.233825 | − | 0.972279i | \(-0.424876\pi\) | ||||
0.233825 | + | 0.972279i | \(0.424876\pi\) | |||||||
\(912\) | 9.26861 | + | 0.674561i | 0.306914 | + | 0.0223369i | ||||
\(913\) | −40.7907 | −1.34998 | ||||||||
\(914\) | −8.99081 | − | 24.0735i | −0.297390 | − | 0.796282i | ||||
\(915\) | −7.64540 | − | 2.04858i | −0.252749 | − | 0.0677239i | ||||
\(916\) | −1.62195 | − | 0.114596i | −0.0535908 | − | 0.00378637i | ||||
\(917\) | 0.614003 | − | 2.29149i | 0.0202762 | − | 0.0756716i | ||||
\(918\) | −2.78983 | − | 29.0837i | −0.0920781 | − | 0.959905i | ||||
\(919\) | − | 40.2036i | − | 1.32620i | −0.748533 | − | 0.663098i | \(-0.769241\pi\) | ||
0.748533 | − | 0.663098i | \(-0.230759\pi\) | |||||||
\(920\) | 0.0132893 | + | 0.0450432i | 0.000438135 | + | 0.00148503i | ||||
\(921\) | −11.3257 | − | 6.53890i | −0.373195 | − | 0.215464i | ||||
\(922\) | 27.9233 | − | 2.67852i | 0.919606 | − | 0.0882125i | ||||
\(923\) | −54.4797 | − | 54.4797i | −1.79322 | − | 1.79322i | ||||
\(924\) | 0.213574 | − | 0.618811i | 0.00702608 | − | 0.0203574i | ||||
\(925\) | 0.517098 | + | 1.92984i | 0.0170021 | + | 0.0634526i | ||||
\(926\) | 26.7237 | − | 9.98057i | 0.878195 | − | 0.327982i | ||||
\(927\) | −10.5348 | + | 18.2469i | −0.346010 | + | 0.599307i | ||||
\(928\) | −30.2032 | + | 15.6535i | −0.991470 | + | 0.513851i | ||||
\(929\) | 12.2995 | + | 21.3034i | 0.403534 | + | 0.698942i | 0.994150 | − | 0.108011i | \(-0.0344483\pi\) |
−0.590615 | + | 0.806953i | \(0.701115\pi\) | |||||||
\(930\) | −1.34858 | + | 8.04093i | −0.0442216 | + | 0.263673i | ||||
\(931\) | 9.84206 | + | 28.7132i | 0.322561 | + | 0.941037i | ||||
\(932\) | 5.07588 | − | 14.7069i | 0.166266 | − | 0.481740i | ||||
\(933\) | 2.96187 | − | 11.0538i | 0.0969671 | − | 0.361886i | ||||
\(934\) | −15.6230 | + | 34.2488i | −0.511201 | + | 1.12065i | ||||
\(935\) | −31.0466 | − | 17.9248i | −1.01533 | − | 0.586203i | ||||
\(936\) | −31.1627 | − | 29.6366i | −1.01859 | − | 0.968704i | ||||
\(937\) | −26.4424 | − | 15.2665i | −0.863835 | − | 0.498735i | 0.00145953 | − | 0.999999i | \(-0.499535\pi\) |
−0.865295 | + | 0.501263i | \(0.832869\pi\) | |||||||
\(938\) | −0.465889 | + | 0.332061i | −0.0152118 | + | 0.0108422i | ||||
\(939\) | −3.14578 | − | 3.14578i | −0.102659 | − | 0.102659i | ||||
\(940\) | 41.8364 | + | 2.95588i | 1.36455 | + | 0.0964102i | ||||
\(941\) | 7.59406 | + | 28.3414i | 0.247559 | + | 0.923904i | 0.972080 | + | 0.234651i | \(0.0753946\pi\) |
−0.724520 | + | 0.689253i | \(0.757939\pi\) | |||||||
\(942\) | −7.35477 | − | 1.23350i | −0.239631 | − | 0.0401896i | ||||
\(943\) | −0.0604681 | −0.00196911 | ||||||||
\(944\) | −37.3818 | − | 15.9315i | −1.21668 | − | 0.518525i | ||||
\(945\) | −0.478754 | − | 0.829226i | −0.0155739 | − | 0.0269747i | ||||
\(946\) | 12.6213 | − | 15.2996i | 0.410354 | − | 0.497433i | ||||
\(947\) | 26.7972 | + | 7.18028i | 0.870791 | + | 0.233328i | 0.666430 | − | 0.745568i | \(-0.267822\pi\) |
0.204361 | + | 0.978896i | \(0.434488\pi\) | |||||||
\(948\) | −12.0594 | − | 8.14687i | −0.391672 | − | 0.264598i | ||||
\(949\) | −59.6727 | − | 59.6727i | −1.93706 | − | 1.93706i | ||||
\(950\) | 2.30993 | + | 13.9538i | 0.0749439 | + | 0.452722i | ||||
\(951\) | 10.7323i | 0.348018i | ||||||||
\(952\) | 0.0919624 | + | 3.66372i | 0.00298052 | + | 0.118742i | ||||
\(953\) | 9.27416 | − | 5.35444i | 0.300419 | − | 0.173447i | −0.342212 | − | 0.939623i | \(-0.611176\pi\) |
0.642631 | + | 0.766176i | \(0.277843\pi\) | |||||||
\(954\) | 13.5185 | − | 1.29676i | 0.437679 | − | 0.0419840i | ||||
\(955\) | −2.12200 | + | 7.91941i | −0.0686663 | + | 0.256266i | ||||
\(956\) | 32.4785 | − | 28.1920i | 1.05043 | − | 0.911793i | ||||
\(957\) | −7.28437 | + | 7.28437i | −0.235470 | + | 0.235470i | ||||
\(958\) | −4.56122 | + | 27.1964i | −0.147366 | + | 0.878675i | ||||
\(959\) | −1.78809 | + | 3.09707i | −0.0577405 | + | 0.100010i | ||||
\(960\) | −7.00484 | + | 0.351876i | −0.226080 | + | 0.0113568i | ||||
\(961\) | 12.2433 | 0.394947 | ||||||||
\(962\) | −1.14032 | + | 6.79917i | −0.0367653 | + | 0.219214i | ||||
\(963\) | 3.30429 | + | 12.3318i | 0.106479 | + | 0.397386i | ||||
\(964\) | 3.35323 | + | 17.3177i | 0.108000 | + | 0.557766i | ||||
\(965\) | 12.4390 | − | 3.33301i | 0.400425 | − | 0.107293i | ||||
\(966\) | 0.000603378 | − | 0.00132273i | 1.94134e−5 | − | 4.25580e-5i | ||||
\(967\) | 21.6668 | − | 12.5093i | 0.696757 | − | 0.402273i | −0.109381 | − | 0.994000i | \(-0.534887\pi\) |
0.806139 | + | 0.591727i | \(0.201554\pi\) | |||||||
\(968\) | −1.66559 | − | 0.906682i | −0.0535341 | − | 0.0291419i | ||||
\(969\) | −13.0736 | + | 8.79182i | −0.419985 | + | 0.282434i | ||||
\(970\) | 9.40158 | − | 6.70096i | 0.301867 | − | 0.215155i | ||||
\(971\) | −5.33156 | + | 19.8977i | −0.171098 | + | 0.638546i | 0.826085 | + | 0.563545i | \(0.190563\pi\) |
−0.997183 | + | 0.0750014i | \(0.976104\pi\) | |||||||
\(972\) | 20.9096 | + | 14.1257i | 0.670676 | + | 0.453083i | ||||
\(973\) | 0.327145 | + | 1.22092i | 0.0104878 | + | 0.0391410i | ||||
\(974\) | −12.0219 | − | 32.1894i | −0.385205 | − | 1.03141i | ||||
\(975\) | −3.42316 | + | 5.92908i | −0.109629 | + | 0.189883i | ||||
\(976\) | −35.8499 | + | 4.34921i | −1.14753 | + | 0.139215i | ||||
\(977\) | −46.0366 | −1.47284 | −0.736421 | − | 0.676523i | \(-0.763486\pi\) | ||||
−0.736421 | + | 0.676523i | \(0.763486\pi\) | |||||||
\(978\) | 3.87183 | − | 4.69345i | 0.123808 | − | 0.150080i | ||||
\(979\) | 1.42800 | + | 5.32936i | 0.0456390 | + | 0.170327i | ||||
\(980\) | −10.0273 | − | 20.5968i | −0.320311 | − | 0.657942i | ||||
\(981\) | −3.91283 | − | 3.91283i | −0.124927 | − | 0.124927i | ||||
\(982\) | 4.44002 | + | 46.2868i | 0.141687 | + | 1.47707i | ||||
\(983\) | −30.7039 | + | 17.7269i | −0.979302 | + | 0.565400i | −0.902059 | − | 0.431612i | \(-0.857945\pi\) |
−0.0772427 | + | 0.997012i | \(0.524612\pi\) | |||||||
\(984\) | 2.11768 | − | 8.77883i | 0.0675092 | − | 0.279859i | ||||
\(985\) | 6.99276 | − | 4.03727i | 0.222808 | − | 0.128638i | ||||
\(986\) | 23.9354 | − | 52.4712i | 0.762259 | − | 1.67102i | ||||
\(987\) | −0.918091 | − | 0.918091i | −0.0292232 | − | 0.0292232i | ||||
\(988\) | −12.7314 | + | 47.1154i | −0.405040 | + | 1.49894i | ||||
\(989\) | 0.0311466 | − | 0.0311466i | 0.000990405 | − | 0.000990405i | ||||
\(990\) | 19.0216 | − | 7.10407i | 0.604548 | − | 0.225782i | ||||
\(991\) | 23.5637 | + | 40.8136i | 0.748527 | + | 1.29649i | 0.948529 | + | 0.316691i | \(0.102572\pi\) |
−0.200002 | + | 0.979796i | \(0.564095\pi\) | |||||||
\(992\) | 7.98575 | + | 36.3320i | 0.253548 | + | 1.15354i | ||||
\(993\) | 1.37392 | + | 2.37971i | 0.0436002 | + | 0.0755177i | ||||
\(994\) | −2.86868 | − | 2.36650i | −0.0909891 | − | 0.0750609i | ||||
\(995\) | 17.3354 | − | 17.3354i | 0.549569 | − | 0.549569i | ||||
\(996\) | 4.41396 | − | 12.7890i | 0.139862 | − | 0.405236i | ||||
\(997\) | 40.4402 | − | 10.8359i | 1.28075 | − | 0.343177i | 0.446612 | − | 0.894728i | \(-0.352631\pi\) |
0.834141 | + | 0.551551i | \(0.185964\pi\) | |||||||
\(998\) | 53.2684 | − | 5.10973i | 1.68618 | − | 0.161746i | ||||
\(999\) | − | 2.65286i | − | 0.0839329i |
(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 | 304.2.v.a.197.34 | yes | 152 | |
16.13 | even | 4 | inner | 304.2.v.a.45.9 | ✓ | 152 | |
19.11 | even | 3 | inner | 304.2.v.a.277.9 | yes | 152 | |
304.125 | even | 12 | inner | 304.2.v.a.125.34 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.v.a.45.9 | ✓ | 152 | 16.13 | even | 4 | inner | |
304.2.v.a.125.34 | yes | 152 | 304.125 | even | 12 | inner | |
304.2.v.a.197.34 | yes | 152 | 1.1 | even | 1 | trivial | |
304.2.v.a.277.9 | yes | 152 | 19.11 | even | 3 | inner |