Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(50,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fy (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 50.9 | ||
Character | \(\chi\) | \(=\) | 819.50 |
Dual form | 819.2.fy.a.344.9 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.606137 | − | 2.26213i | −0.428603 | − | 1.59957i | −0.755926 | − | 0.654657i | \(-0.772813\pi\) |
0.327323 | − | 0.944913i | \(-0.393854\pi\) | |||||||
\(3\) | 1.35078 | − | 1.08415i | 0.779875 | − | 0.625935i | ||||
\(4\) | −3.01779 | + | 1.74232i | −1.50890 | + | 0.871162i | ||||
\(5\) | 0.760590 | + | 2.83856i | 0.340146 | + | 1.26944i | 0.898181 | + | 0.439625i | \(0.144889\pi\) |
−0.558035 | + | 0.829817i | \(0.688445\pi\) | |||||||
\(6\) | −3.27125 | − | 2.39851i | −1.33548 | − | 0.979187i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | 2.45857 | + | 2.45857i | 0.869236 | + | 0.869236i | ||||
\(9\) | 0.649233 | − | 2.92891i | 0.216411 | − | 0.976302i | ||||
\(10\) | 5.96018 | − | 3.44111i | 1.88477 | − | 1.08817i | ||||
\(11\) | −0.0575643 | + | 0.0154243i | −0.0173563 | + | 0.00465060i | −0.267487 | − | 0.963562i | \(-0.586193\pi\) |
0.250130 | + | 0.968212i | \(0.419526\pi\) | |||||||
\(12\) | −2.18744 | + | 5.62525i | −0.631460 | + | 1.62387i | ||||
\(13\) | 2.96165 | − | 2.05636i | 0.821414 | − | 0.570333i | ||||
\(14\) | 2.02817 | + | 1.17097i | 0.542052 | + | 0.312954i | ||||
\(15\) | 4.10482 | + | 3.00968i | 1.05986 | + | 0.777097i | ||||
\(16\) | 0.586737 | − | 1.01626i | 0.146684 | − | 0.254064i | ||||
\(17\) | 2.24538 | − | 3.88911i | 0.544584 | − | 0.943247i | −0.454049 | − | 0.890977i | \(-0.650021\pi\) |
0.998633 | − | 0.0522706i | \(-0.0166458\pi\) | |||||||
\(18\) | −7.01910 | + | 0.306668i | −1.65442 | + | 0.0722823i | ||||
\(19\) | 4.01039 | − | 1.07458i | 0.920046 | − | 0.246526i | 0.232441 | − | 0.972611i | \(-0.425329\pi\) |
0.687605 | + | 0.726085i | \(0.258662\pi\) | |||||||
\(20\) | −7.24099 | − | 7.24099i | −1.61913 | − | 1.61913i | ||||
\(21\) | −0.188538 | + | 1.72176i | −0.0411423 | + | 0.375719i | ||||
\(22\) | 0.0697837 | + | 0.120869i | 0.0148779 | + | 0.0257693i | ||||
\(23\) | 7.03141 | 1.46615 | 0.733076 | − | 0.680147i | \(-0.238084\pi\) | ||||
0.733076 | + | 0.680147i | \(0.238084\pi\) | |||||||
\(24\) | 5.98646 | + | 0.655535i | 1.22198 | + | 0.133810i | ||||
\(25\) | −3.14879 | + | 1.81796i | −0.629759 | + | 0.363591i | ||||
\(26\) | −6.44693 | − | 5.45321i | −1.26435 | − | 1.06946i | ||||
\(27\) | −2.29841 | − | 4.66019i | −0.442328 | − | 0.896853i | ||||
\(28\) | 0.901893 | − | 3.36591i | 0.170442 | − | 0.636097i | ||||
\(29\) | 2.95704 | + | 1.70725i | 0.549108 | + | 0.317028i | 0.748762 | − | 0.662839i | \(-0.230649\pi\) |
−0.199654 | + | 0.979866i | \(0.563982\pi\) | |||||||
\(30\) | 4.32023 | − | 11.1099i | 0.788762 | − | 2.02839i | ||||
\(31\) | −5.73172 | + | 1.53581i | −1.02945 | + | 0.275839i | −0.733734 | − | 0.679437i | \(-0.762224\pi\) |
−0.295713 | + | 0.955277i | \(0.595557\pi\) | |||||||
\(32\) | 4.06239 | + | 1.08851i | 0.718135 | + | 0.192424i | ||||
\(33\) | −0.0610346 | + | 0.0832433i | −0.0106248 | + | 0.0144908i | ||||
\(34\) | −10.1587 | − | 2.72201i | −1.74220 | − | 0.466821i | ||||
\(35\) | −2.54498 | − | 1.46935i | −0.430181 | − | 0.248365i | ||||
\(36\) | 3.14386 | + | 9.97001i | 0.523976 | + | 1.66167i | ||||
\(37\) | −10.0125 | − | 2.68285i | −1.64605 | − | 0.441059i | −0.687549 | − | 0.726138i | \(-0.741313\pi\) |
−0.958504 | + | 0.285079i | \(0.907980\pi\) | |||||||
\(38\) | −4.86168 | − | 8.42069i | −0.788669 | − | 1.36602i | ||||
\(39\) | 1.77114 | − | 5.98858i | 0.283609 | − | 0.958940i | ||||
\(40\) | −5.10884 | + | 8.84876i | −0.807778 | + | 1.39911i | ||||
\(41\) | 4.55639 | − | 4.55639i | 0.711588 | − | 0.711588i | −0.255279 | − | 0.966867i | \(-0.582167\pi\) |
0.966867 | + | 0.255279i | \(0.0821674\pi\) | |||||||
\(42\) | 4.00913 | − | 0.617124i | 0.618622 | − | 0.0952243i | ||||
\(43\) | − | 4.18894i | − | 0.638807i | −0.947619 | − | 0.319404i | \(-0.896517\pi\) | ||
0.947619 | − | 0.319404i | \(-0.103483\pi\) | |||||||
\(44\) | 0.146843 | − | 0.146843i | 0.0221374 | − | 0.0221374i | ||||
\(45\) | 8.80768 | − | 0.384811i | 1.31297 | − | 0.0573643i | ||||
\(46\) | −4.26200 | − | 15.9060i | −0.628397 | − | 2.34521i | ||||
\(47\) | 0.366584 | − | 1.36811i | 0.0534718 | − | 0.199560i | −0.934022 | − | 0.357214i | \(-0.883727\pi\) |
0.987494 | + | 0.157655i | \(0.0503933\pi\) | |||||||
\(48\) | −0.309223 | − | 2.00886i | −0.0446325 | − | 0.289953i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | 6.02106 | + | 6.02106i | 0.851506 | + | 0.851506i | ||||
\(51\) | −1.18336 | − | 7.68767i | −0.165704 | − | 1.07649i | ||||
\(52\) | −5.35480 | + | 11.3658i | −0.742577 | + | 1.57616i | ||||
\(53\) | − | 1.16332i | − | 0.159794i | −0.996803 | − | 0.0798970i | \(-0.974541\pi\) | ||
0.996803 | − | 0.0798970i | \(-0.0254591\pi\) | |||||||
\(54\) | −9.14881 | + | 8.02401i | −1.24500 | + | 1.09193i | ||||
\(55\) | −0.0875656 | − | 0.151668i | −0.0118073 | − | 0.0204509i | ||||
\(56\) | −3.47694 | −0.464626 | ||||||||
\(57\) | 4.25216 | − | 5.79939i | 0.563212 | − | 0.768148i | ||||
\(58\) | 2.06965 | − | 7.72404i | 0.271758 | − | 1.01422i | ||||
\(59\) | −0.959905 | + | 3.58241i | −0.124969 | + | 0.466390i | −0.999839 | − | 0.0179681i | \(-0.994280\pi\) |
0.874870 | + | 0.484358i | \(0.160947\pi\) | |||||||
\(60\) | −17.6313 | − | 1.93068i | −2.27620 | − | 0.249250i | ||||
\(61\) | −0.463646 | −0.0593638 | −0.0296819 | − | 0.999559i | \(-0.509449\pi\) | ||||
−0.0296819 | + | 0.999559i | \(0.509449\pi\) | |||||||
\(62\) | 6.94841 | + | 12.0350i | 0.882449 | + | 1.52845i | ||||
\(63\) | 1.61197 | + | 2.53013i | 0.203090 | + | 0.318766i | ||||
\(64\) | − | 12.1964i | − | 1.52455i | ||||||
\(65\) | 8.08971 | + | 6.84277i | 1.00340 | + | 0.848741i | ||||
\(66\) | 0.225303 | + | 0.0876116i | 0.0277329 | + | 0.0107842i | ||||
\(67\) | 4.02924 | + | 4.02924i | 0.492250 | + | 0.492250i | 0.909015 | − | 0.416764i | \(-0.136836\pi\) |
−0.416764 | + | 0.909015i | \(0.636836\pi\) | |||||||
\(68\) | 15.6487i | 1.89768i | ||||||||
\(69\) | 9.49792 | − | 7.62312i | 1.14341 | − | 0.917715i | ||||
\(70\) | −1.78125 | + | 6.64771i | −0.212900 | + | 0.794554i | ||||
\(71\) | 1.38821 | + | 5.18087i | 0.164750 | + | 0.614856i | 0.998072 | + | 0.0620676i | \(0.0197694\pi\) |
−0.833322 | + | 0.552788i | \(0.813564\pi\) | |||||||
\(72\) | 8.79711 | − | 5.60474i | 1.03675 | − | 0.660525i | ||||
\(73\) | −4.78119 | + | 4.78119i | −0.559596 | + | 0.559596i | −0.929192 | − | 0.369596i | \(-0.879496\pi\) |
0.369596 | + | 0.929192i | \(0.379496\pi\) | |||||||
\(74\) | 24.2759i | 2.82202i | ||||||||
\(75\) | −2.28240 | + | 5.86943i | −0.263549 | + | 0.677744i | ||||
\(76\) | −10.2303 | + | 10.2303i | −1.17349 | + | 1.17349i | ||||
\(77\) | 0.0297975 | − | 0.0516108i | 0.00339574 | − | 0.00588159i | ||||
\(78\) | −14.6205 | − | 0.376655i | −1.65545 | − | 0.0426478i | ||||
\(79\) | 1.84857 | + | 3.20181i | 0.207980 | + | 0.360232i | 0.951078 | − | 0.308951i | \(-0.0999778\pi\) |
−0.743098 | + | 0.669183i | \(0.766644\pi\) | |||||||
\(80\) | 3.33097 | + | 0.892532i | 0.372414 | + | 0.0997881i | ||||
\(81\) | −8.15699 | − | 3.80308i | −0.906333 | − | 0.422565i | ||||
\(82\) | −13.0689 | − | 7.54536i | −1.44322 | − | 0.833246i | ||||
\(83\) | 6.23872 | + | 1.67166i | 0.684789 | + | 0.183489i | 0.584407 | − | 0.811460i | \(-0.301327\pi\) |
0.100381 | + | 0.994949i | \(0.467994\pi\) | |||||||
\(84\) | −2.43089 | − | 5.52441i | −0.265232 | − | 0.602762i | ||||
\(85\) | 12.7473 | + | 3.41562i | 1.38264 | + | 0.370476i | ||||
\(86\) | −9.47594 | + | 2.53907i | −1.02182 | + | 0.273795i | ||||
\(87\) | 5.84523 | − | 0.899755i | 0.626674 | − | 0.0964639i | ||||
\(88\) | −0.179448 | − | 0.103604i | −0.0191292 | − | 0.0110442i | ||||
\(89\) | −0.136146 | + | 0.508106i | −0.0144315 | + | 0.0538591i | −0.972766 | − | 0.231789i | \(-0.925542\pi\) |
0.958335 | + | 0.285648i | \(0.0922088\pi\) | |||||||
\(90\) | −6.20915 | − | 19.6909i | −0.654502 | − | 2.07560i | ||||
\(91\) | −0.640134 | + | 3.54827i | −0.0671043 | + | 0.371960i | ||||
\(92\) | −21.2194 | + | 12.2510i | −2.21227 | + | 1.27725i | ||||
\(93\) | −6.07726 | + | 8.28859i | −0.630183 | + | 0.859487i | ||||
\(94\) | −3.31705 | −0.342128 | ||||||||
\(95\) | 6.10052 | + | 10.5664i | 0.625900 | + | 1.08409i | ||||
\(96\) | 6.66752 | − | 2.93390i | 0.680501 | − | 0.299439i | ||||
\(97\) | −6.33386 | − | 6.33386i | −0.643106 | − | 0.643106i | 0.308212 | − | 0.951318i | \(-0.400269\pi\) |
−0.951318 | + | 0.308212i | \(0.900269\pi\) | |||||||
\(98\) | −2.26213 | + | 0.606137i | −0.228510 | + | 0.0612291i | ||||
\(99\) | 0.00780375 | + | 0.178614i | 0.000784307 | + | 0.0179514i | ||||
\(100\) | 6.33494 | − | 10.9724i | 0.633494 | − | 1.09724i | ||||
\(101\) | −6.25278 | + | 10.8301i | −0.622175 | + | 1.07764i | 0.366905 | + | 0.930258i | \(0.380417\pi\) |
−0.989080 | + | 0.147380i | \(0.952916\pi\) | |||||||
\(102\) | −16.6733 | + | 7.33670i | −1.65090 | + | 0.726442i | ||||
\(103\) | 0.760188 | + | 0.438895i | 0.0749036 | + | 0.0432456i | 0.536984 | − | 0.843592i | \(-0.319564\pi\) |
−0.462080 | + | 0.886838i | \(0.652897\pi\) | |||||||
\(104\) | 12.3371 | + | 2.22571i | 1.20976 | + | 0.218249i | ||||
\(105\) | −5.03071 | + | 0.774377i | −0.490947 | + | 0.0755714i | ||||
\(106\) | −2.63158 | + | 0.705129i | −0.255602 | + | 0.0684882i | ||||
\(107\) | 16.0149 | − | 9.24621i | 1.54822 | − | 0.893865i | 0.549941 | − | 0.835204i | \(-0.314650\pi\) |
0.998278 | − | 0.0586611i | \(-0.0186831\pi\) | |||||||
\(108\) | 15.0557 | + | 10.0589i | 1.44873 | + | 0.967919i | ||||
\(109\) | 10.6476 | + | 10.6476i | 1.01985 | + | 1.01985i | 0.999799 | + | 0.0200551i | \(0.00638417\pi\) |
0.0200551 | + | 0.999799i | \(0.493616\pi\) | |||||||
\(110\) | −0.290017 | + | 0.290017i | −0.0276520 | + | 0.0276520i | ||||
\(111\) | −16.4334 | + | 7.23116i | −1.55979 | + | 0.686351i | ||||
\(112\) | 0.303717 | + | 1.13349i | 0.0286986 | + | 0.107105i | ||||
\(113\) | −8.18779 | + | 4.72723i | −0.770243 | + | 0.444700i | −0.832961 | − | 0.553331i | \(-0.813356\pi\) |
0.0627184 | + | 0.998031i | \(0.480023\pi\) | |||||||
\(114\) | −15.6964 | − | 6.10372i | −1.47010 | − | 0.571666i | ||||
\(115\) | 5.34802 | + | 19.9591i | 0.498705 | + | 1.86119i | ||||
\(116\) | −11.8983 | −1.10473 | ||||||||
\(117\) | −4.10010 | − | 10.0095i | −0.379054 | − | 0.925374i | ||||
\(118\) | 8.68573 | 0.799586 | ||||||||
\(119\) | 1.16229 | + | 4.33774i | 0.106547 | + | 0.397640i | ||||
\(120\) | 2.69247 | + | 17.4915i | 0.245787 | + | 1.59675i | ||||
\(121\) | −9.52320 | + | 5.49822i | −0.865746 | + | 0.499839i | ||||
\(122\) | 0.281033 | + | 1.04883i | 0.0254435 | + | 0.0949565i | ||||
\(123\) | 1.21488 | − | 11.0945i | 0.109542 | − | 1.00036i | ||||
\(124\) | 14.6213 | − | 14.6213i | 1.31303 | − | 1.31303i | ||||
\(125\) | 2.83453 | + | 2.83453i | 0.253528 | + | 0.253528i | ||||
\(126\) | 4.74641 | − | 5.18010i | 0.422844 | − | 0.461480i | ||||
\(127\) | 18.7765 | − | 10.8406i | 1.66614 | − | 0.961948i | 0.696456 | − | 0.717600i | \(-0.254759\pi\) |
0.969688 | − | 0.244348i | \(-0.0785740\pi\) | |||||||
\(128\) | −19.4651 | + | 5.21566i | −1.72049 | + | 0.461003i | ||||
\(129\) | −4.54144 | − | 5.65835i | −0.399852 | − | 0.498190i | ||||
\(130\) | 10.5758 | − | 22.4477i | 0.927558 | − | 1.96879i | ||||
\(131\) | −7.41050 | − | 4.27845i | −0.647458 | − | 0.373810i | 0.140024 | − | 0.990148i | \(-0.455282\pi\) |
−0.787482 | + | 0.616338i | \(0.788615\pi\) | |||||||
\(132\) | 0.0391531 | − | 0.357553i | 0.00340784 | − | 0.0311210i | ||||
\(133\) | −2.07593 | + | 3.59561i | −0.180006 | + | 0.311779i | ||||
\(134\) | 6.67241 | − | 11.5570i | 0.576408 | − | 0.998369i | ||||
\(135\) | 11.4801 | − | 10.0686i | 0.988047 | − | 0.866571i | ||||
\(136\) | 15.0821 | − | 4.04123i | 1.29328 | − | 0.346533i | ||||
\(137\) | 15.2852 | + | 15.2852i | 1.30591 | + | 1.30591i | 0.924343 | + | 0.381563i | \(0.124614\pi\) |
0.381563 | + | 0.924343i | \(0.375386\pi\) | |||||||
\(138\) | −23.0015 | − | 16.8649i | −1.95802 | − | 1.43564i | ||||
\(139\) | −8.22750 | − | 14.2504i | −0.697847 | − | 1.20871i | −0.969211 | − | 0.246230i | \(-0.920808\pi\) |
0.271364 | − | 0.962477i | \(-0.412525\pi\) | |||||||
\(140\) | 10.2403 | 0.865464 | ||||||||
\(141\) | −0.988064 | − | 2.24546i | −0.0832100 | − | 0.189101i | ||||
\(142\) | 10.8784 | − | 6.28063i | 0.912892 | − | 0.527058i | ||||
\(143\) | −0.138767 | + | 0.164055i | −0.0116043 | + | 0.0137189i | ||||
\(144\) | −2.59560 | − | 2.37829i | −0.216300 | − | 0.198190i | ||||
\(145\) | −2.59703 | + | 9.69224i | −0.215671 | + | 0.804897i | ||||
\(146\) | 13.7137 | + | 7.91763i | 1.13496 | + | 0.655268i | ||||
\(147\) | −1.08415 | − | 1.35078i | −0.0894193 | − | 0.111411i | ||||
\(148\) | 34.8902 | − | 9.34880i | 2.86796 | − | 0.768467i | ||||
\(149\) | −11.2160 | − | 3.00533i | −0.918853 | − | 0.246206i | −0.231758 | − | 0.972773i | \(-0.574448\pi\) |
−0.687095 | + | 0.726568i | \(0.741114\pi\) | |||||||
\(150\) | 14.6609 | + | 1.60541i | 1.19706 | + | 0.131081i | ||||
\(151\) | −20.2538 | − | 5.42698i | −1.64823 | − | 0.441642i | −0.689113 | − | 0.724654i | \(-0.742000\pi\) |
−0.959116 | + | 0.283012i | \(0.908666\pi\) | |||||||
\(152\) | 12.5017 | + | 7.21789i | 1.01403 | + | 0.585448i | ||||
\(153\) | −9.93307 | − | 9.10144i | −0.803041 | − | 0.735808i | ||||
\(154\) | −0.134812 | − | 0.0361227i | −0.0108634 | − | 0.00291085i | ||||
\(155\) | −8.71897 | − | 15.1017i | −0.700324 | − | 1.21300i | ||||
\(156\) | 5.08911 | + | 21.1582i | 0.407455 | + | 1.69401i | ||||
\(157\) | −11.7809 | + | 20.4052i | −0.940220 | + | 1.62851i | −0.175170 | + | 0.984538i | \(0.556048\pi\) |
−0.765050 | + | 0.643971i | \(0.777286\pi\) | |||||||
\(158\) | 6.12244 | − | 6.12244i | 0.487075 | − | 0.487075i | ||||
\(159\) | −1.26121 | − | 1.57139i | −0.100021 | − | 0.124619i | ||||
\(160\) | 12.3592i | 0.977084i | ||||||||
\(161\) | −4.97196 | + | 4.97196i | −0.391845 | + | 0.391845i | ||||
\(162\) | −3.65883 | + | 20.7574i | −0.287465 | + | 1.63085i | ||||
\(163\) | −5.06180 | − | 18.8909i | −0.396471 | − | 1.47965i | −0.819260 | − | 0.573422i | \(-0.805616\pi\) |
0.422789 | − | 0.906228i | \(-0.361051\pi\) | |||||||
\(164\) | −5.81153 | + | 21.6889i | −0.453804 | + | 1.69362i | ||||
\(165\) | −0.282713 | − | 0.109936i | −0.0220092 | − | 0.00855854i | ||||
\(166\) | − | 15.1261i | − | 1.17401i | ||||||
\(167\) | 7.23371 | + | 7.23371i | 0.559761 | + | 0.559761i | 0.929239 | − | 0.369478i | \(-0.120464\pi\) |
−0.369478 | + | 0.929239i | \(0.620464\pi\) | |||||||
\(168\) | −4.69660 | + | 3.76953i | −0.362351 | + | 0.290826i | ||||
\(169\) | 4.54274 | − | 12.1805i | 0.349441 | − | 0.936958i | ||||
\(170\) | − | 30.9064i | − | 2.37041i | ||||||
\(171\) | −0.543671 | − | 12.4437i | −0.0415756 | − | 0.951594i | ||||
\(172\) | 7.29849 | + | 12.6414i | 0.556505 | + | 0.963894i | ||||
\(173\) | 6.96895 | 0.529839 | 0.264920 | − | 0.964271i | \(-0.414655\pi\) | ||||
0.264920 | + | 0.964271i | \(0.414655\pi\) | |||||||
\(174\) | −5.57837 | − | 12.6773i | −0.422895 | − | 0.961065i | ||||
\(175\) | 0.941044 | − | 3.51202i | 0.0711362 | − | 0.265484i | ||||
\(176\) | −0.0181000 | + | 0.0675502i | −0.00136434 | + | 0.00509179i | ||||
\(177\) | 2.58725 | + | 5.87975i | 0.194470 | + | 0.441949i | ||||
\(178\) | 1.23193 | 0.0923367 | ||||||||
\(179\) | −1.35100 | − | 2.34000i | −0.100979 | − | 0.174900i | 0.811110 | − | 0.584894i | \(-0.198864\pi\) |
−0.912088 | + | 0.409994i | \(0.865531\pi\) | |||||||
\(180\) | −25.9093 | + | 16.5071i | −1.93116 | + | 1.23037i | ||||
\(181\) | 6.08312i | 0.452155i | 0.974109 | + | 0.226077i | \(0.0725902\pi\) | ||||
−0.974109 | + | 0.226077i | \(0.927410\pi\) | |||||||
\(182\) | 8.41467 | − | 0.702669i | 0.623737 | − | 0.0520853i | ||||
\(183\) | −0.626285 | + | 0.502662i | −0.0462963 | + | 0.0371578i | ||||
\(184\) | 17.2872 | + | 17.2872i | 1.27443 | + | 1.27443i | ||||
\(185\) | − | 30.4618i | − | 2.23959i | ||||||
\(186\) | 22.4336 | + | 8.72355i | 1.64491 | + | 0.639642i | ||||
\(187\) | −0.0692668 | + | 0.258507i | −0.00506529 | + | 0.0189039i | ||||
\(188\) | 1.27742 | + | 4.76739i | 0.0931652 | + | 0.347697i | ||||
\(189\) | 4.92047 | + | 1.67003i | 0.357911 | + | 0.121477i | ||||
\(190\) | 20.2049 | − | 20.2049i | 1.46581 | − | 1.46581i | ||||
\(191\) | 15.7566i | 1.14010i | 0.821608 | + | 0.570052i | \(0.193077\pi\) | ||||
−0.821608 | + | 0.570052i | \(0.806923\pi\) | |||||||
\(192\) | −13.2227 | − | 16.4747i | −0.954269 | − | 1.18896i | ||||
\(193\) | −13.2250 | + | 13.2250i | −0.951954 | + | 0.951954i | −0.998898 | − | 0.0469438i | \(-0.985052\pi\) |
0.0469438 | + | 0.998898i | \(0.485052\pi\) | |||||||
\(194\) | −10.4888 | + | 18.1672i | −0.753055 | + | 1.30433i | ||||
\(195\) | 18.3460 | + | 0.472632i | 1.31379 | + | 0.0338459i | ||||
\(196\) | 1.74232 | + | 3.01779i | 0.124452 | + | 0.215557i | ||||
\(197\) | 10.1898 | + | 2.73034i | 0.725992 | + | 0.194529i | 0.602844 | − | 0.797859i | \(-0.294034\pi\) |
0.123148 | + | 0.992388i | \(0.460701\pi\) | |||||||
\(198\) | 0.399320 | − | 0.125918i | 0.0283784 | − | 0.00894860i | ||||
\(199\) | −2.84426 | − | 1.64213i | −0.201624 | − | 0.116408i | 0.395789 | − | 0.918342i | \(-0.370471\pi\) |
−0.597413 | + | 0.801934i | \(0.703805\pi\) | |||||||
\(200\) | −12.2111 | − | 3.27196i | −0.863456 | − | 0.231362i | ||||
\(201\) | 9.81094 | + | 1.07433i | 0.692010 | + | 0.0757771i | ||||
\(202\) | 28.2892 | + | 7.58008i | 1.99042 | + | 0.533332i | ||||
\(203\) | −3.29815 | + | 0.883736i | −0.231485 | + | 0.0620261i | ||||
\(204\) | 16.9656 | + | 21.1380i | 1.18783 | + | 1.47996i | ||||
\(205\) | 16.3991 | + | 9.46803i | 1.14536 | + | 0.661276i | ||||
\(206\) | 0.532061 | − | 1.98568i | 0.0370704 | − | 0.138349i | ||||
\(207\) | 4.56502 | − | 20.5944i | 0.317291 | − | 1.43141i | ||||
\(208\) | −0.352087 | − | 4.21634i | −0.0244128 | − | 0.292351i | ||||
\(209\) | −0.214280 | + | 0.123715i | −0.0148221 | + | 0.00855754i | ||||
\(210\) | 4.80104 | + | 10.9108i | 0.331303 | + | 0.752914i | ||||
\(211\) | −17.5502 | −1.20820 | −0.604101 | − | 0.796908i | \(-0.706468\pi\) | ||||
−0.604101 | + | 0.796908i | \(0.706468\pi\) | |||||||
\(212\) | 2.02688 | + | 3.51065i | 0.139206 | + | 0.241113i | ||||
\(213\) | 7.49201 | + | 5.49320i | 0.513344 | + | 0.376388i | ||||
\(214\) | −30.6234 | − | 30.6234i | −2.09337 | − | 2.09337i | ||||
\(215\) | 11.8906 | − | 3.18606i | 0.810929 | − | 0.217288i | ||||
\(216\) | 5.80660 | − | 17.1082i | 0.395089 | − | 1.16406i | ||||
\(217\) | 2.96696 | − | 5.13892i | 0.201410 | − | 0.348852i | ||||
\(218\) | 17.6324 | − | 30.5402i | 1.19421 | − | 2.06844i | ||||
\(219\) | −1.27482 | + | 11.6419i | −0.0861444 | + | 0.786686i | ||||
\(220\) | 0.528510 | + | 0.305135i | 0.0356321 | + | 0.0205722i | ||||
\(221\) | −1.34740 | − | 16.1355i | −0.0906358 | − | 1.08539i | ||||
\(222\) | 26.3187 | + | 32.7915i | 1.76640 | + | 2.20082i | ||||
\(223\) | 14.2210 | − | 3.81050i | 0.952307 | − | 0.255170i | 0.250966 | − | 0.967996i | \(-0.419252\pi\) |
0.701341 | + | 0.712826i | \(0.252585\pi\) | |||||||
\(224\) | −3.64224 | + | 2.10285i | −0.243357 | + | 0.140502i | ||||
\(225\) | 3.28033 | + | 10.4028i | 0.218689 | + | 0.693520i | ||||
\(226\) | 15.6565 | + | 15.6565i | 1.04146 | + | 1.04146i | ||||
\(227\) | −6.71545 | + | 6.71545i | −0.445720 | + | 0.445720i | −0.893929 | − | 0.448209i | \(-0.852062\pi\) |
0.448209 | + | 0.893929i | \(0.352062\pi\) | |||||||
\(228\) | −2.72772 | + | 24.9100i | −0.180647 | + | 1.64970i | ||||
\(229\) | 5.96986 | + | 22.2798i | 0.394499 | + | 1.47229i | 0.822631 | + | 0.568576i | \(0.192505\pi\) |
−0.428132 | + | 0.903716i | \(0.640828\pi\) | |||||||
\(230\) | 41.9085 | − | 24.1959i | 2.76336 | − | 1.59543i | ||||
\(231\) | −0.0157039 | − | 0.102020i | −0.00103324 | − | 0.00671242i | ||||
\(232\) | 3.07270 | + | 11.4675i | 0.201733 | + | 0.752876i | ||||
\(233\) | −3.40298 | −0.222937 | −0.111468 | − | 0.993768i | \(-0.535555\pi\) | ||||
−0.111468 | + | 0.993768i | \(0.535555\pi\) | |||||||
\(234\) | −20.1575 | + | 15.3421i | −1.31774 | + | 1.00294i | ||||
\(235\) | 4.16229 | 0.271518 | ||||||||
\(236\) | −3.34493 | − | 12.4834i | −0.217736 | − | 0.812603i | ||||
\(237\) | 5.96826 | + | 2.32083i | 0.387680 | + | 0.150754i | ||||
\(238\) | 9.10803 | − | 5.25852i | 0.590386 | − | 0.340859i | ||||
\(239\) | −0.830833 | − | 3.10071i | −0.0537421 | − | 0.200568i | 0.933835 | − | 0.357705i | \(-0.116441\pi\) |
−0.987577 | + | 0.157136i | \(0.949774\pi\) | |||||||
\(240\) | 5.46706 | − | 2.40566i | 0.352897 | − | 0.155285i | ||||
\(241\) | −12.2596 | + | 12.2596i | −0.789710 | + | 0.789710i | −0.981447 | − | 0.191736i | \(-0.938588\pi\) |
0.191736 | + | 0.981447i | \(0.438588\pi\) | |||||||
\(242\) | 18.2101 | + | 18.2101i | 1.17059 | + | 1.17059i | ||||
\(243\) | −15.1415 | + | 3.70627i | −0.971325 | + | 0.237757i | ||||
\(244\) | 1.39919 | − | 0.807821i | 0.0895738 | − | 0.0517154i | ||||
\(245\) | 2.83856 | − | 0.760590i | 0.181349 | − | 0.0485923i | ||||
\(246\) | −25.8336 | + | 3.97657i | −1.64709 | + | 0.253537i | ||||
\(247\) | 9.66763 | − | 11.4293i | 0.615137 | − | 0.727232i | ||||
\(248\) | −17.8677 | − | 10.3159i | −1.13460 | − | 0.655063i | ||||
\(249\) | 10.2395 | − | 4.50567i | 0.648902 | − | 0.285535i | ||||
\(250\) | 4.69397 | − | 8.13020i | 0.296873 | − | 0.514199i | ||||
\(251\) | 10.7864 | − | 18.6825i | 0.680829 | − | 1.17923i | −0.293899 | − | 0.955836i | \(-0.594953\pi\) |
0.974728 | − | 0.223394i | \(-0.0717137\pi\) | |||||||
\(252\) | −9.27290 | − | 4.82682i | −0.584138 | − | 0.304061i | ||||
\(253\) | −0.404758 | + | 0.108455i | −0.0254469 | + | 0.00681849i | ||||
\(254\) | −35.9040 | − | 35.9040i | −2.25282 | − | 2.25282i | ||||
\(255\) | 20.9219 | − | 9.20621i | 1.31018 | − | 0.576515i | ||||
\(256\) | 11.4006 | + | 19.7465i | 0.712539 | + | 1.23415i | ||||
\(257\) | 1.52613 | 0.0951972 | 0.0475986 | − | 0.998867i | \(-0.484843\pi\) | ||||
0.0475986 | + | 0.998867i | \(0.484843\pi\) | |||||||
\(258\) | −10.0472 | + | 13.7031i | −0.625512 | + | 0.853117i | ||||
\(259\) | 8.97701 | − | 5.18288i | 0.557804 | − | 0.322048i | ||||
\(260\) | −36.3354 | − | 6.55517i | −2.25343 | − | 0.406534i | ||||
\(261\) | 6.92017 | − | 7.55249i | 0.428348 | − | 0.467487i | ||||
\(262\) | −5.18665 | + | 19.3569i | −0.320432 | + | 1.19587i | ||||
\(263\) | −26.3237 | − | 15.1980i | −1.62319 | − | 0.937148i | −0.986060 | − | 0.166391i | \(-0.946789\pi\) |
−0.637128 | − | 0.770758i | \(-0.719878\pi\) | |||||||
\(264\) | −0.354718 | + | 0.0546016i | −0.0218314 | + | 0.00336050i | ||||
\(265\) | 3.30215 | − | 0.884807i | 0.202849 | − | 0.0543533i | ||||
\(266\) | 9.39205 | + | 2.51659i | 0.575864 | + | 0.154302i | ||||
\(267\) | 0.366959 | + | 0.833944i | 0.0224575 | + | 0.0510365i | ||||
\(268\) | −19.1797 | − | 5.13918i | −1.17158 | − | 0.313925i | ||||
\(269\) | −14.4571 | − | 8.34679i | −0.881463 | − | 0.508913i | −0.0103225 | − | 0.999947i | \(-0.503286\pi\) |
−0.871141 | + | 0.491034i | \(0.836619\pi\) | |||||||
\(270\) | −29.7351 | − | 19.8665i | −1.80962 | − | 1.20903i | ||||
\(271\) | −8.31725 | − | 2.22860i | −0.505237 | − | 0.135378i | −0.00280742 | − | 0.999996i | \(-0.500894\pi\) |
−0.502429 | + | 0.864618i | \(0.667560\pi\) | |||||||
\(272\) | −2.63489 | − | 4.56377i | −0.159764 | − | 0.276719i | ||||
\(273\) | 2.98218 | + | 5.48695i | 0.180490 | + | 0.332085i | ||||
\(274\) | 25.3123 | − | 43.8422i | 1.52917 | − | 2.64860i | ||||
\(275\) | 0.153217 | − | 0.153217i | 0.00923936 | − | 0.00923936i | ||||
\(276\) | −15.3808 | + | 39.5534i | −0.925816 | + | 2.38084i | ||||
\(277\) | 20.5242i | 1.23318i | 0.787284 | + | 0.616591i | \(0.211487\pi\) | ||||
−0.787284 | + | 0.616591i | \(0.788513\pi\) | |||||||
\(278\) | −27.2494 | + | 27.2494i | −1.63431 | + | 1.63431i | ||||
\(279\) | 0.777025 | + | 17.7848i | 0.0465193 | + | 1.06475i | ||||
\(280\) | −2.64453 | − | 9.86951i | −0.158041 | − | 0.589816i | ||||
\(281\) | −0.311023 | + | 1.16075i | −0.0185541 | + | 0.0692447i | −0.974582 | − | 0.224030i | \(-0.928079\pi\) |
0.956028 | + | 0.293275i | \(0.0947452\pi\) | |||||||
\(282\) | −4.48062 | + | 3.59618i | −0.266817 | + | 0.214150i | ||||
\(283\) | 4.18999i | 0.249069i | 0.992215 | + | 0.124534i | \(0.0397437\pi\) | ||||
−0.992215 | + | 0.124534i | \(0.960256\pi\) | |||||||
\(284\) | −13.2161 | − | 13.2161i | −0.784230 | − | 0.784230i | ||||
\(285\) | 19.6961 | + | 7.65904i | 1.16669 | + | 0.453683i | ||||
\(286\) | 0.455225 | + | 0.214471i | 0.0269180 | + | 0.0126819i | ||||
\(287\) | 6.44370i | 0.380360i | ||||||||
\(288\) | 5.82559 | − | 11.1917i | 0.343276 | − | 0.659475i | ||||
\(289\) | −1.58345 | − | 2.74261i | −0.0931438 | − | 0.161330i | ||||
\(290\) | 23.4993 | 1.37993 | ||||||||
\(291\) | −15.4225 | − | 1.68881i | −0.904085 | − | 0.0989999i | ||||
\(292\) | 6.09826 | − | 22.7590i | 0.356874 | − | 1.33187i | ||||
\(293\) | −5.42807 | + | 20.2578i | −0.317111 | + | 1.18347i | 0.604897 | + | 0.796304i | \(0.293214\pi\) |
−0.922008 | + | 0.387171i | \(0.873452\pi\) | |||||||
\(294\) | −2.39851 | + | 3.27125i | −0.139884 | + | 0.190783i | ||||
\(295\) | −10.8990 | −0.634563 | ||||||||
\(296\) | −18.0206 | − | 31.2125i | −1.04742 | − | 1.81419i | ||||
\(297\) | 0.204186 | + | 0.232809i | 0.0118481 | + | 0.0135090i | ||||
\(298\) | 27.1938i | 1.57529i | ||||||||
\(299\) | 20.8246 | − | 14.4591i | 1.20432 | − | 0.836194i | ||||
\(300\) | −3.33865 | − | 21.6894i | −0.192757 | − | 1.25224i | ||||
\(301\) | 2.96203 | + | 2.96203i | 0.170728 | + | 0.170728i | ||||
\(302\) | 49.1062i | 2.82575i | ||||||||
\(303\) | 3.29535 | + | 21.4081i | 0.189313 | + | 1.22986i | ||||
\(304\) | 1.26099 | − | 4.70608i | 0.0723228 | − | 0.269912i | ||||
\(305\) | −0.352644 | − | 1.31609i | −0.0201923 | − | 0.0753589i | ||||
\(306\) | −14.5679 | + | 27.9866i | −0.832790 | + | 1.59989i | ||||
\(307\) | −23.4759 | + | 23.4759i | −1.33984 | + | 1.33984i | −0.443627 | + | 0.896211i | \(0.646309\pi\) |
−0.896211 | + | 0.443627i | \(0.853691\pi\) | |||||||
\(308\) | 0.207667i | 0.0118330i | ||||||||
\(309\) | 1.50268 | − | 0.231307i | 0.0854844 | − | 0.0131586i | ||||
\(310\) | −28.8772 | + | 28.8772i | −1.64011 | + | 1.64011i | ||||
\(311\) | 7.02464 | − | 12.1670i | 0.398331 | − | 0.689929i | −0.595189 | − | 0.803585i | \(-0.702923\pi\) |
0.993520 | + | 0.113657i | \(0.0362563\pi\) | |||||||
\(312\) | 19.0778 | − | 10.3689i | 1.08007 | − | 0.587022i | ||||
\(313\) | −2.48795 | − | 4.30926i | −0.140627 | − | 0.243574i | 0.787106 | − | 0.616818i | \(-0.211579\pi\) |
−0.927733 | + | 0.373245i | \(0.878245\pi\) | |||||||
\(314\) | 53.3000 | + | 14.2817i | 3.00790 | + | 0.805963i | ||||
\(315\) | −5.95586 | + | 6.50007i | −0.335575 | + | 0.366237i | ||||
\(316\) | −11.1572 | − | 6.44161i | −0.627641 | − | 0.362369i | ||||
\(317\) | −13.4702 | − | 3.60934i | −0.756564 | − | 0.202721i | −0.140136 | − | 0.990132i | \(-0.544754\pi\) |
−0.616428 | + | 0.787412i | \(0.711421\pi\) | |||||||
\(318\) | −2.79023 | + | 3.80551i | −0.156468 | + | 0.213402i | ||||
\(319\) | −0.196553 | − | 0.0526662i | −0.0110049 | − | 0.00294874i | ||||
\(320\) | 34.6202 | − | 9.27645i | 1.93533 | − | 0.518569i | ||||
\(321\) | 11.6084 | − | 29.8522i | 0.647917 | − | 1.66619i | ||||
\(322\) | 14.2609 | + | 8.23355i | 0.794730 | + | 0.458838i | ||||
\(323\) | 4.82568 | − | 18.0097i | 0.268508 | − | 1.00208i | ||||
\(324\) | 31.2423 | − | 2.73520i | 1.73568 | − | 0.151956i | ||||
\(325\) | −5.58724 | + | 11.8592i | −0.309925 | + | 0.657831i | ||||
\(326\) | −39.6656 | + | 22.9009i | −2.19687 | + | 1.26837i | ||||
\(327\) | 25.9262 | + | 2.83899i | 1.43372 | + | 0.156997i | ||||
\(328\) | 22.4044 | 1.23708 | ||||||||
\(329\) | 0.708187 | + | 1.22662i | 0.0390436 | + | 0.0676255i | ||||
\(330\) | −0.0773279 | + | 0.706172i | −0.00425676 | + | 0.0388735i | ||||
\(331\) | 21.4346 | + | 21.4346i | 1.17815 | + | 1.17815i | 0.980215 | + | 0.197938i | \(0.0634244\pi\) |
0.197938 | + | 0.980215i | \(0.436576\pi\) | |||||||
\(332\) | −21.7398 | + | 5.82515i | −1.19312 | + | 0.319697i | ||||
\(333\) | −14.3583 | + | 27.5840i | −0.786830 | + | 1.51160i | ||||
\(334\) | 11.9790 | − | 20.7482i | 0.655461 | − | 1.13529i | ||||
\(335\) | −8.37264 | + | 14.5018i | −0.457446 | + | 0.792320i | ||||
\(336\) | 1.63913 | + | 1.20182i | 0.0894218 | + | 0.0655648i | ||||
\(337\) | −18.2537 | − | 10.5388i | −0.994345 | − | 0.574085i | −0.0877748 | − | 0.996140i | \(-0.527976\pi\) |
−0.906570 | + | 0.422055i | \(0.861309\pi\) | |||||||
\(338\) | −30.3073 | − | 2.89326i | −1.64850 | − | 0.157372i | ||||
\(339\) | −5.93491 | + | 15.2623i | −0.322340 | + | 0.828932i | ||||
\(340\) | −44.4198 | + | 11.9022i | −2.40900 | + | 0.645490i | ||||
\(341\) | 0.306254 | − | 0.176816i | 0.0165846 | − | 0.00957510i | ||||
\(342\) | −27.8198 | + | 8.77244i | −1.50432 | + | 0.474359i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 10.2988 | − | 10.2988i | 0.555274 | − | 0.555274i | ||||
\(345\) | 28.8627 | + | 21.1623i | 1.55391 | + | 1.13934i | ||||
\(346\) | −4.22413 | − | 15.7647i | −0.227091 | − | 0.847515i | ||||
\(347\) | −11.4319 | + | 6.60020i | −0.613695 | + | 0.354317i | −0.774410 | − | 0.632684i | \(-0.781953\pi\) |
0.160715 | + | 0.987001i | \(0.448620\pi\) | |||||||
\(348\) | −16.0720 | + | 12.8996i | −0.861551 | + | 0.691489i | ||||
\(349\) | 1.99059 | + | 7.42899i | 0.106554 | + | 0.397665i | 0.998517 | − | 0.0544439i | \(-0.0173386\pi\) |
−0.891963 | + | 0.452109i | \(0.850672\pi\) | |||||||
\(350\) | −8.51506 | −0.455149 | ||||||||
\(351\) | −16.3901 | − | 9.07548i | −0.874839 | − | 0.484413i | ||||
\(352\) | −0.250638 | −0.0133591 | ||||||||
\(353\) | −3.65637 | − | 13.6457i | −0.194609 | − | 0.726290i | −0.992368 | − | 0.123313i | \(-0.960648\pi\) |
0.797759 | − | 0.602976i | \(-0.206019\pi\) | |||||||
\(354\) | 11.7325 | − | 9.41664i | 0.623577 | − | 0.500489i | ||||
\(355\) | −13.6503 | + | 7.88102i | −0.724485 | + | 0.418281i | ||||
\(356\) | −0.474422 | − | 1.77057i | −0.0251443 | − | 0.0938400i | ||||
\(357\) | 6.27277 | + | 4.59924i | 0.331990 | + | 0.243418i | ||||
\(358\) | −4.47451 | + | 4.47451i | −0.236485 | + | 0.236485i | ||||
\(359\) | 3.67540 | + | 3.67540i | 0.193980 | + | 0.193980i | 0.797414 | − | 0.603433i | \(-0.206201\pi\) |
−0.603433 | + | 0.797414i | \(0.706201\pi\) | |||||||
\(360\) | 22.6004 | + | 20.7082i | 1.19114 | + | 1.09142i | ||||
\(361\) | −1.52601 | + | 0.881040i | −0.0803161 | + | 0.0463705i | ||||
\(362\) | 13.7608 | − | 3.68720i | 0.723253 | − | 0.193795i | ||||
\(363\) | −6.90288 | + | 17.7515i | −0.362307 | + | 0.931712i | ||||
\(364\) | −4.25045 | − | 11.8233i | −0.222784 | − | 0.619708i | ||||
\(365\) | −17.2082 | − | 9.93517i | −0.900719 | − | 0.520030i | ||||
\(366\) | 1.51670 | + | 1.11206i | 0.0792793 | + | 0.0581282i | ||||
\(367\) | 14.2831 | − | 24.7390i | 0.745570 | − | 1.29136i | −0.204358 | − | 0.978896i | \(-0.565511\pi\) |
0.949928 | − | 0.312469i | \(-0.101156\pi\) | |||||||
\(368\) | 4.12559 | − | 7.14573i | 0.215061 | − | 0.372497i | ||||
\(369\) | −10.3871 | − | 16.3034i | −0.540730 | − | 0.848721i | ||||
\(370\) | −68.9086 | + | 18.4640i | −3.58239 | + | 0.959897i | ||||
\(371\) | 0.822590 | + | 0.822590i | 0.0427067 | + | 0.0427067i | ||||
\(372\) | 3.89850 | − | 35.6018i | 0.202128 | − | 1.84587i | ||||
\(373\) | −1.88754 | − | 3.26931i | −0.0977329 | − | 0.169278i | 0.813013 | − | 0.582246i | \(-0.197826\pi\) |
−0.910746 | + | 0.412967i | \(0.864492\pi\) | |||||||
\(374\) | 0.626763 | 0.0324091 | ||||||||
\(375\) | 6.90189 | + | 0.755778i | 0.356412 | + | 0.0390282i | ||||
\(376\) | 4.26487 | − | 2.46233i | 0.219944 | − | 0.126985i | ||||
\(377\) | 12.2684 | − | 1.02448i | 0.631856 | − | 0.0527633i | ||||
\(378\) | 0.795356 | − | 12.1430i | 0.0409087 | − | 0.624569i | ||||
\(379\) | 7.92355 | − | 29.5711i | 0.407005 | − | 1.51897i | −0.393321 | − | 0.919401i | \(-0.628674\pi\) |
0.800327 | − | 0.599564i | \(-0.204659\pi\) | |||||||
\(380\) | −36.8202 | − | 21.2581i | −1.88884 | − | 1.09052i | ||||
\(381\) | 13.6101 | − | 34.9999i | 0.697267 | − | 1.79310i | ||||
\(382\) | 35.6434 | − | 9.55063i | 1.82368 | − | 0.488653i | ||||
\(383\) | −34.5699 | − | 9.26298i | −1.76644 | − | 0.473316i | −0.778433 | − | 0.627728i | \(-0.783985\pi\) |
−0.988007 | + | 0.154412i | \(0.950652\pi\) | |||||||
\(384\) | −20.6386 | + | 28.1483i | −1.05321 | + | 1.43644i | ||||
\(385\) | 0.169164 | + | 0.0453273i | 0.00862139 | + | 0.00231009i | ||||
\(386\) | 37.9328 | + | 21.9005i | 1.93073 | + | 1.11471i | ||||
\(387\) | −12.2690 | − | 2.71960i | −0.623669 | − | 0.138245i | ||||
\(388\) | 30.1499 | + | 8.07864i | 1.53063 | + | 0.410131i | ||||
\(389\) | −8.29832 | − | 14.3731i | −0.420742 | − | 0.728746i | 0.575270 | − | 0.817963i | \(-0.304897\pi\) |
−0.996012 | + | 0.0892172i | \(0.971563\pi\) | |||||||
\(390\) | −10.0511 | − | 41.7877i | −0.508955 | − | 2.11600i | ||||
\(391\) | 15.7882 | − | 27.3459i | 0.798443 | − | 1.38294i | ||||
\(392\) | 2.45857 | − | 2.45857i | 0.124177 | − | 0.124177i | ||||
\(393\) | −14.6485 | + | 2.25484i | −0.738917 | + | 0.113741i | ||||
\(394\) | − | 24.7056i | − | 1.24465i | ||||||
\(395\) | −7.68253 | + | 7.68253i | −0.386550 | + | 0.386550i | ||||
\(396\) | −0.334754 | − | 0.525425i | −0.0168220 | − | 0.0264036i | ||||
\(397\) | 7.53244 | + | 28.1114i | 0.378042 | + | 1.41087i | 0.848849 | + | 0.528636i | \(0.177296\pi\) |
−0.470807 | + | 0.882236i | \(0.656037\pi\) | |||||||
\(398\) | −1.99072 | + | 7.42946i | −0.0997856 | + | 0.372405i | ||||
\(399\) | 1.09406 | + | 7.10752i | 0.0547714 | + | 0.355821i | ||||
\(400\) | 4.26665i | 0.213332i | ||||||||
\(401\) | 16.0754 | + | 16.0754i | 0.802768 | + | 0.802768i | 0.983527 | − | 0.180760i | \(-0.0578556\pi\) |
−0.180760 | + | 0.983527i | \(0.557856\pi\) | |||||||
\(402\) | −3.51650 | − | 22.8448i | −0.175387 | − | 1.13940i | ||||
\(403\) | −13.8172 | + | 16.3350i | −0.688282 | + | 0.813705i | ||||
\(404\) | − | 43.5775i | − | 2.16806i | ||||||
\(405\) | 4.59115 | − | 26.0467i | 0.228136 | − | 1.29427i | ||||
\(406\) | 3.99826 | + | 6.92518i | 0.198430 | + | 0.343691i | ||||
\(407\) | 0.617747 | 0.0306206 | ||||||||
\(408\) | 15.9913 | − | 21.8101i | 0.791688 | − | 1.07976i | ||||
\(409\) | −0.557013 | + | 2.07880i | −0.0275425 | + | 0.102790i | −0.978329 | − | 0.207057i | \(-0.933611\pi\) |
0.950786 | + | 0.309847i | \(0.100278\pi\) | |||||||
\(410\) | 11.4778 | − | 42.8359i | 0.566850 | − | 2.11551i | ||||
\(411\) | 37.2186 | + | 4.07554i | 1.83586 | + | 0.201032i | ||||
\(412\) | −3.05879 | −0.150696 | ||||||||
\(413\) | −1.85439 | − | 3.21190i | −0.0912487 | − | 0.158047i | ||||
\(414\) | −49.3542 | + | 2.15631i | −2.42563 | + | 0.105977i | ||||
\(415\) | 18.9804i | 0.931713i | ||||||||
\(416\) | 14.2697 | − | 5.12995i | 0.699632 | − | 0.251516i | ||||
\(417\) | −26.5632 | − | 10.3294i | −1.30081 | − | 0.505834i | ||||
\(418\) | 0.409743 | + | 0.409743i | 0.0200412 | + | 0.0200412i | ||||
\(419\) | − | 20.1997i | − | 0.986821i | −0.869797 | − | 0.493410i | \(-0.835750\pi\) | ||
0.869797 | − | 0.493410i | \(-0.164250\pi\) | |||||||
\(420\) | 13.8324 | − | 11.1020i | 0.674954 | − | 0.541724i | ||||
\(421\) | 0.461762 | − | 1.72332i | 0.0225049 | − | 0.0839894i | −0.953760 | − | 0.300569i | \(-0.902823\pi\) |
0.976265 | + | 0.216580i | \(0.0694901\pi\) | |||||||
\(422\) | 10.6378 | + | 39.7008i | 0.517840 | + | 1.93260i | ||||
\(423\) | −3.76907 | − | 1.96191i | −0.183259 | − | 0.0953915i | ||||
\(424\) | 2.86010 | − | 2.86010i | 0.138899 | − | 0.138899i | ||||
\(425\) | 16.3280i | 0.792024i | ||||||||
\(426\) | 7.88517 | − | 20.2776i | 0.382038 | − | 0.982451i | ||||
\(427\) | 0.327847 | − | 0.327847i | 0.0158656 | − | 0.0158656i | ||||
\(428\) | −32.2198 | + | 55.8063i | −1.55740 | + | 2.69750i | ||||
\(429\) | −0.00958470 | + | 0.372047i | −0.000462754 | + | 0.0179626i | ||||
\(430\) | −14.4146 | − | 24.9668i | −0.695134 | − | 1.20401i | ||||
\(431\) | −11.5032 | − | 3.08228i | −0.554090 | − | 0.148468i | −0.0291003 | − | 0.999576i | \(-0.509264\pi\) |
−0.524990 | + | 0.851108i | \(0.675931\pi\) | |||||||
\(432\) | −6.08451 | − | 0.398530i | −0.292741 | − | 0.0191743i | ||||
\(433\) | 11.4331 | + | 6.60091i | 0.549440 | + | 0.317219i | 0.748896 | − | 0.662687i | \(-0.230584\pi\) |
−0.199456 | + | 0.979907i | \(0.563917\pi\) | |||||||
\(434\) | −13.4233 | − | 3.59676i | −0.644339 | − | 0.172650i | ||||
\(435\) | 6.99983 | + | 15.9077i | 0.335616 | + | 0.762715i | ||||
\(436\) | −50.6838 | − | 13.5807i | −2.42731 | − | 0.650396i | ||||
\(437\) | 28.1987 | − | 7.55581i | 1.34893 | − | 0.361444i | ||||
\(438\) | 27.1082 | − | 4.17276i | 1.29528 | − | 0.199382i | ||||
\(439\) | 22.1743 | + | 12.8024i | 1.05832 | + | 0.611023i | 0.924968 | − | 0.380045i | \(-0.124091\pi\) |
0.133356 | + | 0.991068i | \(0.457425\pi\) | |||||||
\(440\) | 0.157601 | − | 0.588173i | 0.00751331 | − | 0.0280401i | ||||
\(441\) | −2.92891 | − | 0.649233i | −0.139472 | − | 0.0309158i | ||||
\(442\) | −35.6839 | + | 12.8283i | −1.69731 | + | 0.610180i | ||||
\(443\) | 5.38321 | − | 3.10800i | 0.255764 | − | 0.147665i | −0.366637 | − | 0.930364i | \(-0.619491\pi\) |
0.622401 | + | 0.782699i | \(0.286157\pi\) | |||||||
\(444\) | 36.9936 | − | 50.4545i | 1.75564 | − | 2.39446i | ||||
\(445\) | −1.54584 | −0.0732798 | ||||||||
\(446\) | −17.2397 | − | 29.8601i | −0.816324 | − | 1.41391i | ||||
\(447\) | −18.4087 | + | 8.10033i | −0.870700 | + | 0.383132i | ||||
\(448\) | 8.62415 | + | 8.62415i | 0.407453 | + | 0.407453i | ||||
\(449\) | −13.1728 | + | 3.52965i | −0.621665 | + | 0.166575i | −0.555885 | − | 0.831259i | \(-0.687620\pi\) |
−0.0657804 | + | 0.997834i | \(0.520954\pi\) | |||||||
\(450\) | 21.5442 | − | 13.7261i | 1.01560 | − | 0.647053i | ||||
\(451\) | −0.192006 | + | 0.332564i | −0.00904122 | + | 0.0156598i | ||||
\(452\) | 16.4727 | − | 28.5316i | 0.774811 | − | 1.34201i | ||||
\(453\) | −33.2421 | + | 14.6275i | −1.56185 | + | 0.687259i | ||||
\(454\) | 19.2617 | + | 11.1208i | 0.903997 | + | 0.521923i | ||||
\(455\) | −10.5589 | + | 0.881720i | −0.495007 | + | 0.0413357i | ||||
\(456\) | 24.7124 | − | 3.80398i | 1.15727 | − | 0.178138i | ||||
\(457\) | −14.6416 | + | 3.92321i | −0.684905 | + | 0.183520i | −0.584460 | − | 0.811423i | \(-0.698694\pi\) |
−0.100446 | + | 0.994943i | \(0.532027\pi\) | |||||||
\(458\) | 46.7814 | − | 27.0092i | 2.18595 | − | 1.26206i | ||||
\(459\) | −23.2848 | − | 1.52513i | −1.08684 | − | 0.0711870i | ||||
\(460\) | −50.9144 | − | 50.9144i | −2.37390 | − | 2.37390i | ||||
\(461\) | −5.63968 | + | 5.63968i | −0.262666 | + | 0.262666i | −0.826136 | − | 0.563470i | \(-0.809466\pi\) |
0.563470 | + | 0.826136i | \(0.309466\pi\) | |||||||
\(462\) | −0.221264 | + | 0.0973624i | −0.0102941 | + | 0.00452971i | ||||
\(463\) | −8.46256 | − | 31.5827i | −0.393289 | − | 1.46777i | −0.824675 | − | 0.565606i | \(-0.808642\pi\) |
0.431387 | − | 0.902167i | \(-0.358024\pi\) | |||||||
\(464\) | 3.47001 | − | 2.00341i | 0.161091 | − | 0.0930059i | ||||
\(465\) | −28.1500 | − | 10.9464i | −1.30542 | − | 0.507629i | ||||
\(466\) | 2.06267 | + | 7.69799i | 0.0955514 | + | 0.356603i | ||||
\(467\) | −15.3536 | −0.710479 | −0.355240 | − | 0.934775i | \(-0.615601\pi\) | ||||
−0.355240 | + | 0.934775i | \(0.615601\pi\) | |||||||
\(468\) | 29.8130 | + | 23.0628i | 1.37810 | + | 1.06608i | ||||
\(469\) | −5.69821 | −0.263119 | ||||||||
\(470\) | −2.52291 | − | 9.41564i | −0.116373 | − | 0.434311i | ||||
\(471\) | 6.20880 | + | 40.3353i | 0.286086 | + | 1.85855i | ||||
\(472\) | −11.1676 | + | 6.44762i | −0.514031 | + | 0.296776i | ||||
\(473\) | 0.0646115 | + | 0.241133i | 0.00297084 | + | 0.0110873i | ||||
\(474\) | 1.63244 | − | 14.9077i | 0.0749805 | − | 0.684735i | ||||
\(475\) | −10.6743 | + | 10.6743i | −0.489772 | + | 0.489772i | ||||
\(476\) | −11.0653 | − | 11.0653i | −0.507177 | − | 0.507177i | ||||
\(477\) | −3.40725 | − | 0.755264i | −0.156007 | − | 0.0345811i | ||||
\(478\) | −6.51063 | + | 3.75891i | −0.297789 | + | 0.171929i | ||||
\(479\) | 11.4406 | − | 3.06551i | 0.522736 | − | 0.140067i | 0.0122039 | − | 0.999926i | \(-0.496115\pi\) |
0.510532 | + | 0.859859i | \(0.329449\pi\) | |||||||
\(480\) | 13.3993 | + | 16.6947i | 0.611591 | + | 0.762003i | ||||
\(481\) | −35.1706 | + | 12.6438i | −1.60364 | + | 0.576506i | ||||
\(482\) | 35.1638 | + | 20.3019i | 1.60167 | + | 0.924724i | ||||
\(483\) | −1.32569 | + | 12.1064i | −0.0603208 | + | 0.550860i | ||||
\(484\) | 19.1594 | − | 33.1850i | 0.870881 | − | 1.50841i | ||||
\(485\) | 13.1616 | − | 22.7965i | 0.597636 | − | 1.03514i | ||||
\(486\) | 17.5619 | + | 32.0055i | 0.796623 | + | 1.45180i | ||||
\(487\) | −9.20606 | + | 2.46676i | −0.417166 | + | 0.111779i | −0.461296 | − | 0.887246i | \(-0.652615\pi\) |
0.0441295 | + | 0.999026i | \(0.485949\pi\) | |||||||
\(488\) | −1.13991 | − | 1.13991i | −0.0516011 | − | 0.0516011i | ||||
\(489\) | −27.3180 | − | 20.0298i | −1.23536 | − | 0.905777i | ||||
\(490\) | −3.44111 | − | 5.96018i | −0.155453 | − | 0.269253i | ||||
\(491\) | −16.4744 | −0.743478 | −0.371739 | − | 0.928337i | \(-0.621238\pi\) | ||||
−0.371739 | + | 0.928337i | \(0.621238\pi\) | |||||||
\(492\) | 15.6640 | + | 35.5976i | 0.706186 | + | 1.60487i | ||||
\(493\) | 13.2793 | − | 7.66683i | 0.598071 | − | 0.345296i | ||||
\(494\) | −31.7146 | − | 14.9417i | −1.42691 | − | 0.672260i | ||||
\(495\) | −0.501072 | + | 0.158004i | −0.0225215 | + | 0.00710174i | ||||
\(496\) | −1.80223 | + | 6.72602i | −0.0809226 | + | 0.302007i | ||||
\(497\) | −4.64504 | − | 2.68181i | −0.208358 | − | 0.120296i | ||||
\(498\) | −16.3990 | − | 20.4321i | −0.734855 | − | 0.915582i | ||||
\(499\) | 4.12047 | − | 1.10408i | 0.184458 | − | 0.0494253i | −0.165408 | − | 0.986225i | \(-0.552894\pi\) |
0.349865 | + | 0.936800i | \(0.386227\pi\) | |||||||
\(500\) | −13.4927 | − | 3.61536i | −0.603412 | − | 0.161684i | ||||
\(501\) | 17.6136 | + | 1.92874i | 0.786918 | + | 0.0861698i | ||||
\(502\) | −48.8004 | − | 13.0760i | −2.17807 | − | 0.583611i | ||||
\(503\) | 29.1559 | + | 16.8332i | 1.30000 | + | 0.750553i | 0.980403 | − | 0.197001i | \(-0.0631203\pi\) |
0.319594 | + | 0.947555i | \(0.396454\pi\) | |||||||
\(504\) | −2.25735 | + | 10.1836i | −0.100550 | + | 0.453616i | ||||
\(505\) | −35.4978 | − | 9.51160i | −1.57963 | − | 0.423260i | ||||
\(506\) | 0.490678 | + | 0.849879i | 0.0218133 | + | 0.0377817i | ||||
\(507\) | −7.06920 | − | 21.3782i | −0.313954 | − | 0.949438i | ||||
\(508\) | −37.7757 | + | 65.4294i | −1.67603 | + | 2.90296i | ||||
\(509\) | −30.2174 | + | 30.2174i | −1.33936 | + | 1.33936i | −0.442686 | + | 0.896677i | \(0.645974\pi\) |
−0.896677 | + | 0.442686i | \(0.854026\pi\) | |||||||
\(510\) | −33.5072 | − | 41.7478i | −1.48372 | − | 1.84862i | ||||
\(511\) | − | 6.76162i | − | 0.299117i | ||||||
\(512\) | 9.25990 | − | 9.25990i | 0.409234 | − | 0.409234i | ||||
\(513\) | −14.2252 | − | 16.2193i | −0.628059 | − | 0.716101i | ||||
\(514\) | −0.925042 | − | 3.45230i | −0.0408018 | − | 0.152275i | ||||
\(515\) | −0.667638 | + | 2.49166i | −0.0294196 | + | 0.109796i | ||||
\(516\) | 23.5638 | + | 9.16307i | 1.03734 | + | 0.403382i | ||||
\(517\) | 0.0844087i | 0.00371229i | ||||||||
\(518\) | −17.1656 | − | 17.1656i | −0.754215 | − | 0.754215i | ||||
\(519\) | 9.41354 | − | 7.55539i | 0.413208 | − | 0.331645i | ||||
\(520\) | 3.06569 | + | 36.7126i | 0.134439 | + | 1.60995i | ||||
\(521\) | − | 11.9258i | − | 0.522478i | −0.965274 | − | 0.261239i | \(-0.915869\pi\) | ||
0.965274 | − | 0.261239i | \(-0.0841310\pi\) | |||||||
\(522\) | −21.2793 | − | 11.0765i | −0.931370 | − | 0.484805i | ||||
\(523\) | 5.91296 | + | 10.2415i | 0.258556 | + | 0.447831i | 0.965855 | − | 0.259083i | \(-0.0834202\pi\) |
−0.707300 | + | 0.706914i | \(0.750087\pi\) | |||||||
\(524\) | 29.8178 | 1.30260 | ||||||||
\(525\) | −2.53642 | − | 5.76422i | −0.110698 | − | 0.251571i | ||||
\(526\) | −18.4241 | + | 68.7598i | −0.803330 | + | 2.99807i | ||||
\(527\) | −6.89694 | + | 25.7397i | −0.300436 | + | 1.12124i | ||||
\(528\) | 0.0487854 | + | 0.110869i | 0.00212311 | + | 0.00482495i | ||||
\(529\) | 26.4408 | 1.14960 | ||||||||
\(530\) | −4.00310 | − | 6.93358i | −0.173884 | − | 0.301175i | ||||
\(531\) | 9.86935 | + | 5.13729i | 0.428293 | + | 0.222939i | ||||
\(532\) | − | 14.4678i | − | 0.627257i | ||||||
\(533\) | 4.12483 | − | 22.8640i | 0.178666 | − | 0.990350i | ||||
\(534\) | 1.66407 | − | 1.33559i | 0.0720111 | − | 0.0577968i | ||||
\(535\) | 38.4267 | + | 38.4267i | 1.66133 | + | 1.66133i | ||||
\(536\) | 19.8124i | 0.855763i | ||||||||
\(537\) | −4.36183 | − | 1.69615i | −0.188227 | − | 0.0731942i | ||||
\(538\) | −10.1186 | + | 37.7631i | −0.436244 | + | 1.62808i | ||||
\(539\) | 0.0154243 | + | 0.0575643i | 0.000664372 | + | 0.00247947i | ||||
\(540\) | −17.1016 | + | 50.3871i | −0.735937 | + | 2.16832i | ||||
\(541\) | 20.9915 | − | 20.9915i | 0.902495 | − | 0.902495i | −0.0931566 | − | 0.995651i | \(-0.529696\pi\) |
0.995651 | + | 0.0931566i | \(0.0296957\pi\) | |||||||
\(542\) | 20.1656i | 0.866185i | ||||||||
\(543\) | 6.59502 | + | 8.21698i | 0.283020 | + | 0.352624i | ||||
\(544\) | 13.3549 | − | 13.3549i | 0.572588 | − | 0.572588i | ||||
\(545\) | −22.1254 | + | 38.3223i | −0.947746 | + | 1.64154i | ||||
\(546\) | 10.6046 | − | 10.0719i | 0.453835 | − | 0.431039i | ||||
\(547\) | 4.78257 | + | 8.28365i | 0.204488 | + | 0.354183i | 0.949969 | − | 0.312343i | \(-0.101114\pi\) |
−0.745482 | + | 0.666526i | \(0.767780\pi\) | |||||||
\(548\) | −72.7595 | − | 19.4959i | −3.10813 | − | 0.832822i | ||||
\(549\) | −0.301014 | + | 1.35798i | −0.0128470 | + | 0.0579570i | ||||
\(550\) | −0.439469 | − | 0.253727i | −0.0187390 | − | 0.0108190i | ||||
\(551\) | 13.6934 | + | 3.66914i | 0.583360 | + | 0.156311i | ||||
\(552\) | 42.0933 | + | 4.60934i | 1.79161 | + | 0.196186i | ||||
\(553\) | −3.57116 | − | 0.956889i | −0.151861 | − | 0.0406910i | ||||
\(554\) | 46.4286 | − | 12.4405i | 1.97256 | − | 0.528546i | ||||
\(555\) | −33.0252 | − | 41.1472i | −1.40184 | − | 1.74660i | ||||
\(556\) | 49.6578 | + | 28.6699i | 2.10596 | + | 1.21588i | ||||
\(557\) | 6.44177 | − | 24.0410i | 0.272947 | − | 1.01865i | −0.684258 | − | 0.729240i | \(-0.739874\pi\) |
0.957205 | − | 0.289411i | \(-0.0934595\pi\) | |||||||
\(558\) | 39.7605 | − | 12.5377i | 1.68320 | − | 0.530765i | ||||
\(559\) | −8.61398 | − | 12.4062i | −0.364333 | − | 0.524725i | ||||
\(560\) | −2.98647 | + | 1.72424i | −0.126201 | + | 0.0728624i | ||||
\(561\) | 0.186696 | + | 0.424283i | 0.00788233 | + | 0.0179132i | ||||
\(562\) | 2.81430 | 0.118714 | ||||||||
\(563\) | 21.0766 | + | 36.5057i | 0.888272 | + | 1.53853i | 0.841917 | + | 0.539607i | \(0.181427\pi\) |
0.0463546 | + | 0.998925i | \(0.485240\pi\) | |||||||
\(564\) | 6.89408 | + | 5.05479i | 0.290293 | + | 0.212845i | ||||
\(565\) | −19.6461 | − | 19.6461i | −0.826516 | − | 0.826516i | ||||
\(566\) | 9.47831 | − | 2.53970i | 0.398403 | − | 0.106752i | ||||
\(567\) | 8.45705 | − | 3.07868i | 0.355163 | − | 0.129292i | ||||
\(568\) | −9.32452 | + | 16.1505i | −0.391248 | + | 0.677661i | ||||
\(569\) | 6.89976 | − | 11.9507i | 0.289253 | − | 0.501001i | −0.684379 | − | 0.729127i | \(-0.739926\pi\) |
0.973632 | + | 0.228126i | \(0.0732598\pi\) | |||||||
\(570\) | 5.38727 | − | 49.1975i | 0.225648 | − | 2.06066i | ||||
\(571\) | −3.88212 | − | 2.24134i | −0.162462 | − | 0.0937972i | 0.416565 | − | 0.909106i | \(-0.363234\pi\) |
−0.579026 | + | 0.815309i | \(0.696567\pi\) | |||||||
\(572\) | 0.132935 | − | 0.736860i | 0.00555829 | − | 0.0308097i | ||||
\(573\) | 17.0825 | + | 21.2837i | 0.713631 | + | 0.889139i | ||||
\(574\) | 14.5765 | − | 3.90577i | 0.608412 | − | 0.163024i | ||||
\(575\) | −22.1405 | + | 12.7828i | −0.923321 | + | 0.533080i | ||||
\(576\) | −35.7221 | − | 7.91830i | −1.48842 | − | 0.329929i | ||||
\(577\) | 10.8344 | + | 10.8344i | 0.451044 | + | 0.451044i | 0.895701 | − | 0.444657i | \(-0.146674\pi\) |
−0.444657 | + | 0.895701i | \(0.646674\pi\) | |||||||
\(578\) | −5.24436 | + | 5.24436i | −0.218137 | + | 0.218137i | ||||
\(579\) | −3.52620 | + | 32.2019i | −0.146544 | + | 1.33827i | ||||
\(580\) | −9.04973 | − | 33.7740i | −0.375769 | − | 1.40239i | ||||
\(581\) | −5.59349 | + | 3.22940i | −0.232057 | + | 0.133978i | ||||
\(582\) | 5.52785 | + | 35.9115i | 0.229137 | + | 1.48858i | ||||
\(583\) | 0.0179434 | + | 0.0669656i | 0.000743138 | + | 0.00277343i | ||||
\(584\) | −23.5098 | −0.972842 | ||||||||
\(585\) | 25.2939 | − | 19.2515i | 1.04578 | − | 0.795950i | ||||
\(586\) | 49.1160 | 2.02896 | ||||||||
\(587\) | 6.20259 | + | 23.1484i | 0.256008 | + | 0.955436i | 0.967527 | + | 0.252769i | \(0.0813411\pi\) |
−0.711518 | + | 0.702667i | \(0.751992\pi\) | |||||||
\(588\) | 5.62525 | + | 2.18744i | 0.231981 | + | 0.0902086i | ||||
\(589\) | −21.3361 | + | 12.3184i | −0.879137 | + | 0.507570i | ||||
\(590\) | 6.60627 | + | 24.6549i | 0.271976 | + | 1.01503i | ||||
\(591\) | 16.7243 | − | 7.35916i | 0.687946 | − | 0.302715i | ||||
\(592\) | −8.60120 | + | 8.60120i | −0.353507 | + | 0.353507i | ||||
\(593\) | −7.17944 | − | 7.17944i | −0.294824 | − | 0.294824i | 0.544158 | − | 0.838983i | \(-0.316849\pi\) |
−0.838983 | + | 0.544158i | \(0.816849\pi\) | |||||||
\(594\) | 0.402880 | − | 0.603011i | 0.0165304 | − | 0.0247418i | ||||
\(595\) | −11.4289 | + | 6.59848i | −0.468539 | + | 0.270511i | ||||
\(596\) | 39.0839 | − | 10.4725i | 1.60094 | − | 0.428970i | ||||
\(597\) | −5.62230 | + | 0.865440i | −0.230106 | + | 0.0354201i | ||||
\(598\) | −45.3310 | − | 38.3438i | −1.85372 | − | 1.56799i | ||||
\(599\) | 9.55142 | + | 5.51452i | 0.390261 | + | 0.225317i | 0.682273 | − | 0.731097i | \(-0.260992\pi\) |
−0.292012 | + | 0.956415i | \(0.594325\pi\) | |||||||
\(600\) | −20.0419 | + | 8.81898i | −0.818205 | + | 0.360033i | ||||
\(601\) | −17.4744 | + | 30.2666i | −0.712797 | + | 1.23460i | 0.251006 | + | 0.967985i | \(0.419239\pi\) |
−0.963803 | + | 0.266615i | \(0.914095\pi\) | |||||||
\(602\) | 4.90511 | − | 8.49589i | 0.199917 | − | 0.346267i | ||||
\(603\) | 14.4172 | − | 9.18536i | 0.587113 | − | 0.374057i | ||||
\(604\) | 70.5773 | − | 18.9111i | 2.87175 | − | 0.769483i | ||||
\(605\) | −22.8503 | − | 22.8503i | −0.928996 | − | 0.928996i | ||||
\(606\) | 46.4306 | − | 20.4308i | 1.88611 | − | 0.829943i | ||||
\(607\) | 1.84595 | + | 3.19728i | 0.0749249 | + | 0.129774i | 0.901054 | − | 0.433708i | \(-0.142795\pi\) |
−0.826129 | + | 0.563481i | \(0.809462\pi\) | |||||||
\(608\) | 17.4614 | 0.708155 | ||||||||
\(609\) | −3.49698 | + | 4.76942i | −0.141705 | + | 0.193267i | ||||
\(610\) | −2.76341 | + | 1.59546i | −0.111887 | + | 0.0645981i | ||||
\(611\) | −1.72764 | − | 4.80570i | −0.0698928 | − | 0.194418i | ||||
\(612\) | 45.8336 | + | 10.1596i | 1.85271 | + | 0.410679i | ||||
\(613\) | 7.66100 | − | 28.5912i | 0.309425 | − | 1.15479i | −0.619644 | − | 0.784883i | \(-0.712723\pi\) |
0.929069 | − | 0.369907i | \(-0.120610\pi\) | |||||||
\(614\) | 67.3351 | + | 38.8760i | 2.71742 | + | 1.56891i | ||||
\(615\) | 32.4164 | − | 4.98985i | 1.30716 | − | 0.201210i | ||||
\(616\) | 0.200148 | − | 0.0536295i | 0.00806419 | − | 0.00216079i | ||||
\(617\) | −9.53728 | − | 2.55551i | −0.383956 | − | 0.102881i | 0.0616775 | − | 0.998096i | \(-0.480355\pi\) |
−0.445634 | + | 0.895215i | \(0.647022\pi\) | |||||||
\(618\) | −1.43408 | − | 3.25905i | −0.0576870 | − | 0.131098i | ||||
\(619\) | 14.4942 | + | 3.88372i | 0.582573 | + | 0.156100i | 0.538057 | − | 0.842909i | \(-0.319159\pi\) |
0.0445163 | + | 0.999009i | \(0.485825\pi\) | |||||||
\(620\) | 52.6241 | + | 30.3825i | 2.11343 | + | 1.22019i | ||||
\(621\) | −16.1610 | − | 32.7677i | −0.648520 | − | 1.31492i | ||||
\(622\) | −31.7813 | − | 8.51578i | −1.27432 | − | 0.341452i | ||||
\(623\) | −0.263015 | − | 0.455555i | −0.0105375 | − | 0.0182514i | ||||
\(624\) | −5.04675 | − | 5.31365i | −0.202032 | − | 0.212716i | ||||
\(625\) | −14.9799 | + | 25.9459i | −0.599194 | + | 1.03783i | ||||
\(626\) | −8.24007 | + | 8.24007i | −0.329340 | + | 0.329340i | ||||
\(627\) | −0.155321 | + | 0.399424i | −0.00620292 | + | 0.0159515i | ||||
\(628\) | − | 82.1047i | − | 3.27634i | ||||||
\(629\) | −32.9159 | + | 32.9159i | −1.31244 | + | 1.31244i | ||||
\(630\) | 18.3141 | + | 9.53303i | 0.729651 | + | 0.379805i | ||||
\(631\) | −10.8008 | − | 40.3092i | −0.429974 | − | 1.60469i | −0.752815 | − | 0.658232i | \(-0.771304\pi\) |
0.322841 | − | 0.946453i | \(-0.395362\pi\) | |||||||
\(632\) | −3.32705 | + | 12.4167i | −0.132343 | + | 0.493910i | ||||
\(633\) | −23.7065 | + | 19.0270i | −0.942247 | + | 0.756256i | ||||
\(634\) | 32.6592i | 1.29706i | ||||||||
\(635\) | 45.0529 | + | 45.0529i | 1.78787 | + | 1.78787i | ||||
\(636\) | 6.54395 | + | 2.54469i | 0.259484 | + | 0.100904i | ||||
\(637\) | −2.05636 | − | 2.96165i | −0.0814761 | − | 0.117345i | ||||
\(638\) | 0.476552i | 0.0188669i | ||||||||
\(639\) | 16.0755 | − | 0.702348i | 0.635939 | − | 0.0277845i | ||||
\(640\) | −29.6099 | − | 51.2858i | −1.17043 | − | 2.02725i | ||||
\(641\) | 11.0525 | 0.436548 | 0.218274 | − | 0.975888i | \(-0.429957\pi\) | ||||
0.218274 | + | 0.975888i | \(0.429957\pi\) | |||||||
\(642\) | −74.5659 | − | 8.16518i | −2.94288 | − | 0.322254i | ||||
\(643\) | 5.88168 | − | 21.9507i | 0.231951 | − | 0.865652i | −0.747549 | − | 0.664207i | \(-0.768769\pi\) |
0.979500 | − | 0.201445i | \(-0.0645639\pi\) | |||||||
\(644\) | 6.34158 | − | 23.6671i | 0.249893 | − | 0.932615i | ||||
\(645\) | 12.6074 | − | 17.1948i | 0.496415 | − | 0.677046i | ||||
\(646\) | −43.6653 | −1.71799 | ||||||||
\(647\) | 10.5518 | + | 18.2762i | 0.414833 | + | 0.718512i | 0.995411 | − | 0.0956927i | \(-0.0305066\pi\) |
−0.580578 | + | 0.814205i | \(0.697173\pi\) | |||||||
\(648\) | −10.7044 | − | 29.4047i | −0.420508 | − | 1.15513i | ||||
\(649\) | − | 0.221025i | − | 0.00867599i | ||||||
\(650\) | 30.2138 | + | 5.45078i | 1.18508 | + | 0.213797i | ||||
\(651\) | −1.56365 | − | 10.1582i | −0.0612842 | − | 0.398131i | ||||
\(652\) | 48.1895 | + | 48.1895i | 1.88725 | + | 1.88725i | ||||
\(653\) | 40.2185i | 1.57387i | 0.617035 | + | 0.786936i | \(0.288334\pi\) | ||||
−0.617035 | + | 0.786936i | \(0.711666\pi\) | |||||||
\(654\) | −9.29263 | − | 60.3693i | −0.363371 | − | 2.36063i | ||||
\(655\) | 6.50829 | − | 24.2893i | 0.254300 | − | 0.949060i | ||||
\(656\) | −1.95706 | − | 7.30386i | −0.0764105 | − | 0.285168i | ||||
\(657\) | 10.8996 | + | 17.1078i | 0.425232 | + | 0.667437i | ||||
\(658\) | 2.34551 | − | 2.34551i | 0.0914375 | − | 0.0914375i | ||||
\(659\) | 24.6844i | 0.961568i | 0.876839 | + | 0.480784i | \(0.159648\pi\) | ||||
−0.876839 | + | 0.480784i | \(0.840352\pi\) | |||||||
\(660\) | 1.04472 | − | 0.160813i | 0.0406655 | − | 0.00625963i | ||||
\(661\) | 22.9248 | − | 22.9248i | 0.891671 | − | 0.891671i | −0.103009 | − | 0.994680i | \(-0.532847\pi\) |
0.994680 | + | 0.103009i | \(0.0328472\pi\) | |||||||
\(662\) | 35.4956 | − | 61.4802i | 1.37958 | − | 2.38950i | ||||
\(663\) | −19.3134 | − | 20.3348i | −0.750069 | − | 0.789737i | ||||
\(664\) | 11.2284 | + | 19.4482i | 0.435748 | + | 0.754738i | ||||
\(665\) | −11.7853 | − | 3.15786i | −0.457014 | − | 0.122457i | ||||
\(666\) | 71.1018 | + | 15.7607i | 2.75514 | + | 0.610715i | ||||
\(667\) | 20.7922 | + | 12.0044i | 0.805075 | + | 0.464810i | ||||
\(668\) | −34.4333 | − | 9.22637i | −1.33226 | − | 0.356979i | ||||
\(669\) | 15.0783 | − | 20.5648i | 0.582961 | − | 0.795083i | ||||
\(670\) | 37.8801 | + | 10.1499i | 1.46343 | + | 0.392126i | ||||
\(671\) | 0.0266894 | − | 0.00715142i | 0.00103033 | − | 0.000276077i | ||||
\(672\) | −2.64007 | + | 6.78923i | −0.101843 | + | 0.261900i | ||||
\(673\) | 23.9809 | + | 13.8454i | 0.924396 | + | 0.533700i | 0.885035 | − | 0.465525i | \(-0.154134\pi\) |
0.0393610 | + | 0.999225i | \(0.487468\pi\) | |||||||
\(674\) | −12.7759 | + | 47.6804i | −0.492110 | + | 1.83658i | ||||
\(675\) | 15.7092 | + | 10.4956i | 0.604648 | + | 0.403974i | ||||
\(676\) | 7.51325 | + | 44.6730i | 0.288971 | + | 1.71819i | ||||
\(677\) | 6.25797 | − | 3.61304i | 0.240513 | − | 0.138860i | −0.374899 | − | 0.927066i | \(-0.622323\pi\) |
0.615413 | + | 0.788205i | \(0.288989\pi\) | |||||||
\(678\) | 38.1226 | + | 4.17454i | 1.46409 | + | 0.160322i | ||||
\(679\) | 8.95743 | 0.343755 | ||||||||
\(680\) | 22.9425 | + | 39.7376i | 0.879806 | + | 1.52387i | ||||
\(681\) | −1.79056 | + | 16.3517i | −0.0686143 | + | 0.626598i | ||||
\(682\) | −0.585612 | − | 0.585612i | −0.0224242 | − | 0.0224242i | ||||
\(683\) | −8.02988 | + | 2.15160i | −0.307255 | + | 0.0823287i | −0.409152 | − | 0.912466i | \(-0.634175\pi\) |
0.101897 | + | 0.994795i | \(0.467509\pi\) | |||||||
\(684\) | 23.3216 | + | 36.6053i | 0.891725 | + | 1.39964i | ||||
\(685\) | −31.7623 | + | 55.0138i | −1.21357 | + | 2.10197i | ||||
\(686\) | 1.17097 | − | 2.02817i | 0.0447077 | − | 0.0774360i | ||||
\(687\) | 32.2187 | + | 23.6230i | 1.22922 | + | 0.901273i | ||||
\(688\) | −4.25704 | − | 2.45781i | −0.162298 | − | 0.0937029i | ||||
\(689\) | −2.39220 | − | 3.44534i | −0.0911357 | − | 0.131257i | ||||
\(690\) | 30.3773 | − | 78.1185i | 1.15644 | − | 2.97392i | ||||
\(691\) | 18.2478 | − | 4.88949i | 0.694180 | − | 0.186005i | 0.105558 | − | 0.994413i | \(-0.466337\pi\) |
0.588622 | + | 0.808408i | \(0.299670\pi\) | |||||||
\(692\) | −21.0308 | + | 12.1422i | −0.799473 | + | 0.461576i | ||||
\(693\) | −0.131818 | − | 0.120781i | −0.00500734 | − | 0.00458811i | ||||
\(694\) | 21.8598 | + | 21.8598i | 0.829787 | + | 0.829787i | ||||
\(695\) | 34.1930 | − | 34.1930i | 1.29701 | − | 1.29701i | ||||
\(696\) | 16.5830 | + | 12.1588i | 0.628578 | + | 0.460878i | ||||
\(697\) | −7.48947 | − | 27.9511i | −0.283684 | − | 1.05872i | ||||
\(698\) | 15.5988 | − | 9.00597i | 0.590423 | − | 0.340881i | ||||
\(699\) | −4.59669 | + | 3.68935i | −0.173863 | + | 0.139544i | ||||
\(700\) | 3.27921 | + | 12.2382i | 0.123942 | + | 0.462559i | ||||
\(701\) | 42.0641 | 1.58874 | 0.794370 | − | 0.607434i | \(-0.207801\pi\) | ||||
0.794370 | + | 0.607434i | \(0.207801\pi\) | |||||||
\(702\) | −10.5953 | + | 42.5776i | −0.399894 | + | 1.60699i | ||||
\(703\) | −43.0371 | −1.62318 | ||||||||
\(704\) | 0.188121 | + | 0.702077i | 0.00709008 | + | 0.0264605i | ||||
\(705\) | 5.62235 | − | 4.51255i | 0.211750 | − | 0.169952i | ||||
\(706\) | −28.6522 | + | 16.5424i | −1.07834 | + | 0.622580i | ||||
\(707\) | −3.23668 | − | 12.0794i | −0.121728 | − | 0.454294i | ||||
\(708\) | −18.0522 | − | 13.2360i | −0.678444 | − | 0.497440i | ||||
\(709\) | 35.3794 | − | 35.3794i | 1.32870 | − | 1.32870i | 0.422201 | − | 0.906502i | \(-0.361258\pi\) |
0.906502 | − | 0.422201i | \(-0.138742\pi\) | |||||||
\(710\) | 26.1019 | + | 26.1019i | 0.979587 | + | 0.979587i | ||||
\(711\) | 10.5780 | − | 3.33556i | 0.396705 | − | 0.125093i | ||||
\(712\) | −1.58394 | + | 0.914488i | −0.0593606 | + | 0.0342719i | ||||
\(713\) | −40.3021 | + | 10.7989i | −1.50932 | + | 0.404422i | ||||
\(714\) | 6.60194 | − | 16.9776i | 0.247072 | − | 0.635371i | ||||
\(715\) | −0.571224 | − | 0.269121i | −0.0213625 | − | 0.0100646i | ||||
\(716\) | 8.15408 | + | 4.70776i | 0.304732 | + | 0.175937i | ||||
\(717\) | −4.48392 | − | 3.28764i | −0.167455 | − | 0.122779i | ||||
\(718\) | 6.08645 | − | 10.5420i | 0.227144 | − | 0.393426i | ||||
\(719\) | −6.33043 | + | 10.9646i | −0.236085 | + | 0.408912i | −0.959588 | − | 0.281410i | \(-0.909198\pi\) |
0.723502 | + | 0.690322i | \(0.242531\pi\) | |||||||
\(720\) | 4.77672 | − | 9.17665i | 0.178018 | − | 0.341994i | ||||
\(721\) | −0.847880 | + | 0.227189i | −0.0315767 | + | 0.00846095i | ||||
\(722\) | 2.91800 | + | 2.91800i | 0.108597 | + | 0.108597i | ||||
\(723\) | −3.26881 | + | 29.8513i | −0.121568 | + | 1.11018i | ||||
\(724\) | −10.5988 | − | 18.3576i | −0.393900 | − | 0.682255i | ||||
\(725\) | −12.4148 | −0.461074 | ||||||||
\(726\) | 44.3404 | + | 4.85540i | 1.64562 | + | 0.180201i | ||||
\(727\) | 8.55735 | − | 4.94059i | 0.317374 | − | 0.183236i | −0.332847 | − | 0.942981i | \(-0.608009\pi\) |
0.650222 | + | 0.759745i | \(0.274676\pi\) | |||||||
\(728\) | −10.2975 | + | 7.14986i | −0.381650 | + | 0.264991i | ||||
\(729\) | −16.4347 | + | 21.4220i | −0.608691 | + | 0.793407i | ||||
\(730\) | −12.0441 | + | 44.9493i | −0.445774 | + | 1.66365i | ||||
\(731\) | −16.2912 | − | 9.40575i | −0.602553 | − | 0.347884i | ||||
\(732\) | 1.01420 | − | 2.60812i | 0.0374859 | − | 0.0963989i | ||||
\(733\) | −28.7720 | + | 7.70942i | −1.06272 | + | 0.284754i | −0.747497 | − | 0.664265i | \(-0.768745\pi\) |
−0.315219 | + | 0.949019i | \(0.602078\pi\) | |||||||
\(734\) | −64.6204 | − | 17.3150i | −2.38518 | − | 0.639107i | ||||
\(735\) | 3.00968 | − | 4.10482i | 0.111014 | − | 0.151409i | ||||
\(736\) | 28.5643 | + | 7.65379i | 1.05289 | + | 0.282122i | ||||
\(737\) | −0.294089 | − | 0.169792i | −0.0108329 | − | 0.00625438i | ||||
\(738\) | −30.5844 | + | 33.3790i | −1.12583 | + | 1.22870i | ||||
\(739\) | −2.86248 | − | 0.767000i | −0.105298 | − | 0.0282146i | 0.205785 | − | 0.978597i | \(-0.434025\pi\) |
−0.311083 | + | 0.950383i | \(0.600692\pi\) | |||||||
\(740\) | 53.0743 | + | 91.9273i | 1.95105 | + | 3.37931i | ||||
\(741\) | 0.667746 | − | 25.9197i | 0.0245303 | − | 0.952185i | ||||
\(742\) | 1.36221 | − | 2.35941i | 0.0500081 | − | 0.0866166i | ||||
\(743\) | −13.9265 | + | 13.9265i | −0.510912 | + | 0.510912i | −0.914806 | − | 0.403894i | \(-0.867657\pi\) |
0.403894 | + | 0.914806i | \(0.367657\pi\) | |||||||
\(744\) | −35.3195 | + | 5.43672i | −1.29487 | + | 0.199320i | ||||
\(745\) | − | 34.1232i | − | 1.25018i | ||||||
\(746\) | −6.25151 | + | 6.25151i | −0.228884 | + | 0.228884i | ||||
\(747\) | 8.94652 | − | 17.1873i | 0.327336 | − | 0.628852i | ||||
\(748\) | −0.241370 | − | 0.900807i | −0.00882538 | − | 0.0329368i | ||||
\(749\) | −4.78619 | + | 17.8623i | −0.174884 | + | 0.652674i | ||||
\(750\) | −2.47382 | − | 16.0711i | −0.0903312 | − | 0.586834i | ||||
\(751\) | − | 13.5978i | − | 0.496190i | −0.968736 | − | 0.248095i | \(-0.920196\pi\) | ||
0.968736 | − | 0.248095i | \(-0.0798045\pi\) | |||||||
\(752\) | −1.17527 | − | 1.17527i | −0.0428575 | − | 0.0428575i | ||||
\(753\) | −5.68464 | − | 36.9301i | −0.207160 | − | 1.34581i | ||||
\(754\) | −9.75385 | − | 27.1318i | −0.355214 | − | 0.988083i | ||||
\(755\) | − | 61.6193i | − | 2.24255i | ||||||
\(756\) | −17.7587 | + | 3.53324i | −0.645877 | + | 0.128503i | ||||
\(757\) | 23.5506 | + | 40.7908i | 0.855959 | + | 1.48257i | 0.875752 | + | 0.482761i | \(0.160366\pi\) |
−0.0197926 | + | 0.999804i | \(0.506301\pi\) | |||||||
\(758\) | −71.6965 | −2.60413 | ||||||||
\(759\) | −0.429160 | + | 0.585318i | −0.0155775 | + | 0.0212457i | ||||
\(760\) | −10.9797 | + | 40.9768i | −0.398276 | + | 1.48638i | ||||
\(761\) | 13.4332 | − | 50.1333i | 0.486953 | − | 1.81733i | −0.0841495 | − | 0.996453i | \(-0.526817\pi\) |
0.571102 | − | 0.820879i | \(-0.306516\pi\) | |||||||
\(762\) | −87.4239 | − | 9.57317i | −3.16703 | − | 0.346799i | ||||
\(763\) | −15.0580 | −0.545135 | ||||||||
\(764\) | −27.4530 | − | 47.5500i | −0.993216 | − | 1.72030i | ||||
\(765\) | 18.2800 | − | 35.1181i | 0.660914 | − | 1.26970i | ||||
\(766\) | 83.8164i | 3.02841i | ||||||||
\(767\) | 4.52384 | + | 12.5838i | 0.163346 | + | 0.454373i | ||||
\(768\) | 36.8079 | + | 14.3132i | 1.32819 | + | 0.516483i | ||||
\(769\) | 5.42708 | + | 5.42708i | 0.195706 | + | 0.195706i | 0.798156 | − | 0.602451i | \(-0.205809\pi\) |
−0.602451 | + | 0.798156i | \(0.705809\pi\) | |||||||
\(770\) | − | 0.410146i | − | 0.0147806i | ||||||
\(771\) | 2.06147 | − | 1.65455i | 0.0742419 | − | 0.0595873i | ||||
\(772\) | 16.8680 | − | 62.9524i | 0.607094 | − | 2.26571i | ||||
\(773\) | 7.95119 | + | 29.6743i | 0.285985 | + | 1.06731i | 0.948117 | + | 0.317922i | \(0.102985\pi\) |
−0.662132 | + | 0.749387i | \(0.730348\pi\) | |||||||
\(774\) | 1.28461 | + | 29.4026i | 0.0461745 | + | 1.05685i | ||||
\(775\) | 15.2560 | − | 15.2560i | 0.548010 | − | 0.548010i | ||||
\(776\) | − | 31.1445i | − | 1.11802i | ||||||
\(777\) | 6.50697 | − | 16.7334i | 0.233436 | − | 0.600307i | ||||
\(778\) | −27.4840 | + | 27.4840i | −0.985349 | + | 0.985349i | ||||
\(779\) | 13.3767 | − | 23.1691i | 0.479269 | − | 0.830118i | ||||
\(780\) | −56.1880 | + | 30.5384i | −2.01185 | + | 1.09345i | ||||
\(781\) | −0.159823 | − | 0.276821i | −0.00571890 | − | 0.00990543i | ||||
\(782\) | −71.4299 | − | 19.1396i | −2.55433 | − | 0.684430i | ||||
\(783\) | 1.15961 | − | 17.7043i | 0.0414412 | − | 0.632700i | ||||
\(784\) | −1.01626 | − | 0.586737i | −0.0362949 | − | 0.0209549i | ||||
\(785\) | −66.8817 | − | 17.9209i | −2.38711 | − | 0.639624i | ||||
\(786\) | 13.9797 | + | 31.7700i | 0.498640 | + | 1.13320i | ||||
\(787\) | −28.1443 | − | 7.54124i | −1.00324 | − | 0.268816i | −0.280435 | − | 0.959873i | \(-0.590479\pi\) |
−0.722801 | + | 0.691057i | \(0.757146\pi\) | |||||||
\(788\) | −35.5078 | + | 9.51429i | −1.26491 | + | 0.338932i | ||||
\(789\) | −52.0345 | + | 8.00967i | −1.85248 | + | 0.285152i | ||||
\(790\) | 22.0356 | + | 12.7222i | 0.783991 | + | 0.452637i | ||||
\(791\) | 2.44699 | − | 9.13230i | 0.0870050 | − | 0.324707i | ||||
\(792\) | −0.419950 | + | 0.458322i | −0.0149223 | + | 0.0162858i | ||||
\(793\) | −1.37316 | + | 0.953424i | −0.0487622 | + | 0.0338571i | ||||
\(794\) | 59.0261 | − | 34.0787i | 2.09476 | − | 1.20941i | ||||
\(795\) | 3.50122 | − | 4.77521i | 0.124175 | − | 0.169359i | ||||
\(796\) | 11.4445 | 0.405640 | ||||||||
\(797\) | 6.01205 | + | 10.4132i | 0.212958 | + | 0.368854i | 0.952639 | − | 0.304104i | \(-0.0983570\pi\) |
−0.739681 | + | 0.672958i | \(0.765024\pi\) | |||||||
\(798\) | 15.4150 | − | 6.78303i | 0.545685 | − | 0.240117i | ||||
\(799\) | −4.49761 | − | 4.49761i | −0.159114 | − | 0.159114i | ||||
\(800\) | −14.7705 | + | 3.95774i | −0.522216 | + | 0.139927i | ||||
\(801\) | 1.39980 | + | 0.728639i | 0.0494596 | + | 0.0257452i | ||||
\(802\) | 26.6208 | − | 46.1086i | 0.940014 | − | 1.62815i | ||||
\(803\) | 0.201479 | − | 0.348972i | 0.00711005 | − | 0.0123150i | ||||
\(804\) | −31.4792 | + | 13.8517i | −1.11019 | + | 0.488513i | ||||
\(805\) | −17.8948 | − | 10.3316i | −0.630710 | − | 0.364140i | ||||
\(806\) | 45.3271 | + | 21.3550i | 1.59658 | + | 0.752198i | ||||
\(807\) | −28.5776 | + | 4.39894i | −1.00598 | + | 0.154850i | ||||
\(808\) | −41.9995 | + | 11.2537i | −1.47754 | + | 0.395905i | ||||
\(809\) | 31.6319 | − | 18.2627i | 1.11212 | − | 0.642081i | 0.172740 | − | 0.984967i | \(-0.444738\pi\) |
0.939377 | + | 0.342886i | \(0.111404\pi\) | |||||||
\(810\) | −61.7040 | + | 5.40206i | −2.16806 | + | 0.189809i | ||||
\(811\) | 37.4115 | + | 37.4115i | 1.31370 | + | 1.31370i | 0.918670 | + | 0.395025i | \(0.129264\pi\) |
0.395025 | + | 0.918670i | \(0.370736\pi\) | |||||||
\(812\) | 8.41337 | − | 8.41337i | 0.295251 | − | 0.295251i | ||||
\(813\) | −13.6509 | + | 6.00680i | −0.478759 | + | 0.210668i | ||||
\(814\) | −0.374439 | − | 1.39743i | −0.0131241 | − | 0.0489797i | ||||
\(815\) | 49.7730 | − | 28.7364i | 1.74347 | − | 1.00659i | ||||
\(816\) | −8.50698 | − | 3.30804i | −0.297804 | − | 0.115805i | ||||
\(817\) | −4.50135 | − | 16.7993i | −0.157482 | − | 0.587732i | ||||
\(818\) | 5.04015 | 0.176225 | ||||||||
\(819\) | 9.97696 | + | 4.17855i | 0.348623 | + | 0.146010i | ||||
\(820\) | −65.9855 | −2.30431 | ||||||||
\(821\) | −7.11985 | − | 26.5716i | −0.248484 | − | 0.927357i | −0.971600 | − | 0.236629i | \(-0.923957\pi\) |
0.723116 | − | 0.690727i | \(-0.242709\pi\) | |||||||
\(822\) | −13.3401 | − | 86.6637i | −0.465290 | − | 3.02274i | ||||
\(823\) | −34.2057 | + | 19.7487i | −1.19234 | + | 0.688396i | −0.958836 | − | 0.283960i | \(-0.908352\pi\) |
−0.233501 | + | 0.972356i | \(0.575018\pi\) | |||||||
\(824\) | 0.789922 | + | 2.94803i | 0.0275183 | + | 0.102700i | ||||
\(825\) | 0.0408527 | − | 0.373074i | 0.00142231 | − | 0.0129888i | ||||
\(826\) | −6.14174 | + | 6.14174i | −0.213698 | + | 0.213698i | ||||
\(827\) | −5.54555 | − | 5.54555i | −0.192838 | − | 0.192838i | 0.604083 | − | 0.796921i | \(-0.293539\pi\) |
−0.796921 | + | 0.604083i | \(0.793539\pi\) | |||||||
\(828\) | 22.1057 | + | 70.1033i | 0.768228 | + | 2.43626i | ||||
\(829\) | −17.5415 | + | 10.1276i | −0.609241 | + | 0.351746i | −0.772669 | − | 0.634810i | \(-0.781078\pi\) |
0.163427 | + | 0.986555i | \(0.447745\pi\) | |||||||
\(830\) | 42.9363 | − | 11.5047i | 1.49034 | − | 0.399335i | ||||
\(831\) | 22.2514 | + | 27.7238i | 0.771892 | + | 0.961728i | ||||
\(832\) | −25.0802 | − | 36.1215i | −0.869500 | − | 1.25229i | ||||
\(833\) | −3.88911 | − | 2.24538i | −0.134750 | − | 0.0777977i | ||||
\(834\) | −7.26558 | + | 66.3505i | −0.251586 | + | 2.29753i | ||||
\(835\) | −15.0314 | + | 26.0352i | −0.520184 | + | 0.900985i | ||||
\(836\) | 0.431103 | − | 0.746692i | 0.0149100 | − | 0.0258249i | ||||
\(837\) | 20.3310 | + | 23.1810i | 0.702741 | + | 0.801251i | ||||
\(838\) | −45.6944 | + | 12.2438i | −1.57849 | + | 0.422955i | ||||
\(839\) | −39.2982 | − | 39.2982i | −1.35672 | − | 1.35672i | −0.877925 | − | 0.478799i | \(-0.841072\pi\) |
−0.478799 | − | 0.877925i | \(-0.658928\pi\) | |||||||
\(840\) | −14.2722 | − | 10.4645i | −0.492439 | − | 0.361060i | ||||
\(841\) | −8.67062 | − | 15.0180i | −0.298987 | − | 0.517861i | ||||
\(842\) | −4.17827 | −0.143993 | ||||||||
\(843\) | 0.838307 | + | 1.90512i | 0.0288728 | + | 0.0656159i | ||||
\(844\) | 52.9627 | − | 30.5780i | 1.82305 | − | 1.05254i | ||||
\(845\) | 38.0301 | + | 3.63050i | 1.30828 | + | 0.124893i | ||||
\(846\) | −2.15354 | + | 9.71533i | −0.0740401 | + | 0.334020i | ||||
\(847\) | 2.84609 | − | 10.6218i | 0.0977928 | − | 0.364968i | ||||
\(848\) | −1.18223 | − | 0.682561i | −0.0405980 | − | 0.0234392i | ||||
\(849\) | 4.54258 | + | 5.65977i | 0.155901 | + | 0.194243i | ||||
\(850\) | 36.9361 | − | 9.89700i | 1.26690 | − | 0.339464i | ||||
\(851\) | −70.4024 | − | 18.8643i | −2.41336 | − | 0.646658i | ||||
\(852\) | −32.1803 | − | 3.52383i | −1.10248 | − | 0.120725i | ||||
\(853\) | 8.84616 | + | 2.37032i | 0.302887 | + | 0.0811582i | 0.407061 | − | 0.913401i | \(-0.366553\pi\) |
−0.104175 | + | 0.994559i | \(0.533220\pi\) | |||||||
\(854\) | −0.940354 | − | 0.542914i | −0.0321782 | − | 0.0185781i | ||||
\(855\) | 34.9087 | − | 11.0078i | 1.19385 | − | 0.376459i | ||||
\(856\) | 62.1062 | + | 16.6413i | 2.12275 | + | 0.568788i | ||||
\(857\) | −1.16875 | − | 2.02433i | −0.0399237 | − | 0.0691498i | 0.845373 | − | 0.534176i | \(-0.179378\pi\) |
−0.885297 | + | 0.465026i | \(0.846045\pi\) | |||||||
\(858\) | 0.847429 | − | 0.203829i | 0.0289308 | − | 0.00695862i | ||||
\(859\) | 12.0011 | − | 20.7866i | 0.409474 | − | 0.709230i | −0.585357 | − | 0.810776i | \(-0.699046\pi\) |
0.994831 | + | 0.101546i | \(0.0323789\pi\) | |||||||
\(860\) | −30.3321 | + | 30.3321i | −1.03432 | + | 1.03432i | ||||
\(861\) | 6.98595 | + | 8.70405i | 0.238081 | + | 0.296633i | ||||
\(862\) | 27.8901i | 0.949940i | ||||||||
\(863\) | 34.7306 | − | 34.7306i | 1.18224 | − | 1.18224i | 0.203081 | − | 0.979162i | \(-0.434905\pi\) |
0.979162 | − | 0.203081i | \(-0.0650954\pi\) | |||||||
\(864\) | −4.26434 | − | 21.4333i | −0.145076 | − | 0.729177i | ||||
\(865\) | 5.30051 | + | 19.7818i | 0.180223 | + | 0.672600i | ||||
\(866\) | 8.00211 | − | 29.8643i | 0.271923 | − | 1.01483i | ||||
\(867\) | −5.11229 | − | 1.98798i | −0.173623 | − | 0.0675152i | ||||
\(868\) | 20.6776i | 0.701843i | ||||||||
\(869\) | −0.155797 | − | 0.155797i | −0.00528506 | − | 0.00528506i | ||||
\(870\) | 31.7424 | − | 25.4768i | 1.07617 | − | 0.863744i | ||||
\(871\) | 20.2188 | + | 3.64762i | 0.685087 | + | 0.123595i | ||||
\(872\) | 52.3557i | 1.77299i | ||||||||
\(873\) | −22.6634 | + | 14.4391i | −0.767041 | + | 0.488691i | ||||
\(874\) | −34.1845 | − | 59.2093i | −1.15631 | − | 2.00279i | ||||
\(875\) | −4.00863 | −0.135516 | ||||||||
\(876\) | −16.4368 | − | 37.3539i | −0.555348 | − | 1.26207i | ||||
\(877\) | 12.7147 | − | 47.4517i | 0.429343 | − | 1.60233i | −0.324908 | − | 0.945746i | \(-0.605333\pi\) |
0.754252 | − | 0.656586i | \(-0.228000\pi\) | |||||||
\(878\) | 15.5200 | − | 57.9213i | 0.523773 | − | 1.95475i | ||||
\(879\) | 14.6304 | + | 33.2488i | 0.493471 | + | 1.12145i | ||||
\(880\) | −0.205512 | −0.00692781 | ||||||||
\(881\) | −29.1855 | − | 50.5508i | −0.983284 | − | 1.70310i | −0.649326 | − | 0.760510i | \(-0.724949\pi\) |
−0.333959 | − | 0.942588i | \(-0.608385\pi\) | |||||||
\(882\) | 0.306668 | + | 7.01910i | 0.0103260 | + | 0.236345i | ||||
\(883\) | 3.90213i | 0.131317i | 0.997842 | + | 0.0656586i | \(0.0209148\pi\) | ||||
−0.997842 | + | 0.0656586i | \(0.979085\pi\) | |||||||
\(884\) | 32.1794 | + | 46.3460i | 1.08231 | + | 1.55878i | ||||
\(885\) | −14.7222 | + | 11.8161i | −0.494880 | + | 0.397195i | ||||
\(886\) | −10.2937 | − | 10.2937i | −0.345822 | − | 0.345822i | ||||
\(887\) | 4.70762i | 0.158067i | 0.996872 | + | 0.0790333i | \(0.0251833\pi\) | ||||
−0.996872 | + | 0.0790333i | \(0.974817\pi\) | |||||||
\(888\) | −58.1810 | − | 22.6244i | −1.95243 | − | 0.759224i | ||||
\(889\) | −5.61151 | + | 20.9424i | −0.188204 | + | 0.702387i | ||||
\(890\) | 0.936990 | + | 3.49689i | 0.0314080 | + | 0.117216i | ||||
\(891\) | 0.528212 | + | 0.0931059i | 0.0176958 | + | 0.00311916i | ||||
\(892\) | −36.2768 | + | 36.2768i | −1.21464 | + | 1.21464i | ||||
\(893\) | − | 5.88058i | − | 0.196786i | ||||||
\(894\) | 29.4822 | + | 36.7329i | 0.986032 | + | 1.22853i | ||||
\(895\) | 5.61468 | − | 5.61468i | 0.187678 | − | 0.187678i | ||||
\(896\) | 10.0759 | − | 17.4519i | 0.336611 | − | 0.583028i | ||||
\(897\) | 12.4536 | − | 42.1082i | 0.415814 | − | 1.40595i | ||||
\(898\) | 15.9691 | + | 27.6593i | 0.532895 | + | 0.923002i | ||||
\(899\) | −19.5709 | − | 5.24401i | −0.652726 | − | 0.174897i | ||||
\(900\) | −28.0244 | − | 25.6781i | −0.934147 | − | 0.855937i | ||||
\(901\) | −4.52427 | − | 2.61209i | −0.150725 | − | 0.0870213i | ||||
\(902\) | 0.868687 | + | 0.232764i | 0.0289241 | + | 0.00775019i | ||||
\(903\) | 7.21234 | + | 0.789773i | 0.240012 | + | 0.0262820i | ||||
\(904\) | −31.7525 | − | 8.50805i | −1.05607 | − | 0.282974i | ||||
\(905\) | −17.2673 | + | 4.62676i | −0.573985 | + | 0.153799i | ||||
\(906\) | 53.2386 | + | 66.3319i | 1.76873 | + | 2.20373i | ||||
\(907\) | −5.93193 | − | 3.42480i | −0.196966 | − | 0.113719i | 0.398273 | − | 0.917267i | \(-0.369610\pi\) |
−0.595240 | + | 0.803548i | \(0.702943\pi\) | |||||||
\(908\) | 8.56535 | − | 31.9663i | 0.284251 | − | 1.06084i | ||||
\(909\) | 27.6609 | + | 25.3451i | 0.917455 | + | 0.840643i | ||||
\(910\) | 8.39468 | + | 23.3511i | 0.278281 | + | 0.774081i | ||||
\(911\) | 22.1286 | − | 12.7759i | 0.733153 | − | 0.423286i | −0.0864218 | − | 0.996259i | \(-0.527543\pi\) |
0.819574 | + | 0.572973i | \(0.194210\pi\) | |||||||
\(912\) | −3.39878 | − | 7.72400i | −0.112545 | − | 0.255767i | ||||
\(913\) | −0.384912 | −0.0127387 | ||||||||
\(914\) | 17.7496 | + | 30.7433i | 0.587106 | + | 1.01690i | ||||
\(915\) | −1.90318 | − | 1.39543i | −0.0629172 | − | 0.0461314i | ||||
\(916\) | −56.8345 | − | 56.8345i | −1.87786 | − | 1.87786i | ||||
\(917\) | 8.26533 | − | 2.21469i | 0.272945 | − | 0.0731355i | ||||
\(918\) | 10.6637 | + | 53.5977i | 0.351955 | + | 1.76899i | ||||
\(919\) | −7.59755 | + | 13.1593i | −0.250620 | + | 0.434087i | −0.963697 | − | 0.266999i | \(-0.913968\pi\) |
0.713077 | + | 0.701086i | \(0.247301\pi\) | |||||||
\(920\) | −35.9223 | + | 62.2193i | −1.18432 | + | 2.05131i | ||||
\(921\) | −6.25943 | + | 57.1622i | −0.206255 | + | 1.88356i | ||||
\(922\) | 16.1761 | + | 9.33929i | 0.532732 | + | 0.307573i | ||||
\(923\) | 14.7651 | + | 12.4892i | 0.486000 | + | 0.411089i | ||||
\(924\) | 0.225143 | + | 0.280514i | 0.00740666 | + | 0.00922823i | ||||
\(925\) | 36.4048 | − | 9.75463i | 1.19698 | − | 0.320730i | ||||
\(926\) | −66.3148 | + | 38.2869i | −2.17924 | + | 1.25819i | ||||
\(927\) | 1.77902 | − | 1.94158i | 0.0584307 | − | 0.0637697i | ||||
\(928\) | 10.1543 | + | 10.1543i | 0.333330 | + | 0.333330i | ||||
\(929\) | −33.2707 | + | 33.2707i | −1.09158 | + | 1.09158i | −0.0962146 | + | 0.995361i | \(0.530674\pi\) |
−0.995361 | + | 0.0962146i | \(0.969326\pi\) | |||||||
\(930\) | −7.69959 | + | 70.3140i | −0.252479 | + | 2.30569i | ||||
\(931\) | −1.07458 | − | 4.01039i | −0.0352179 | − | 0.131435i | ||||
\(932\) | 10.2695 | − | 5.92909i | 0.336388 | − | 0.194214i | ||||
\(933\) | −3.70213 | − | 24.0508i | −0.121202 | − | 0.787388i | ||||
\(934\) | 9.30637 | + | 34.7319i | 0.304514 | + | 1.13646i | ||||
\(935\) | −0.786472 | −0.0257204 | ||||||||
\(936\) | 14.5286 | − | 34.6893i | 0.474881 | − | 1.13386i | ||||
\(937\) | 22.6682 | 0.740538 | 0.370269 | − | 0.928925i | \(-0.379266\pi\) | ||||
0.370269 | + | 0.928925i | \(0.379266\pi\) | |||||||
\(938\) | 3.45389 | + | 12.8901i | 0.112774 | + | 0.420877i | ||||
\(939\) | −8.03257 | − | 3.12356i | −0.262133 | − | 0.101933i | ||||
\(940\) | −12.5609 | + | 7.25205i | −0.409692 | + | 0.236536i | ||||
\(941\) | −7.49378 | − | 27.9672i | −0.244290 | − | 0.911703i | −0.973739 | − | 0.227668i | \(-0.926890\pi\) |
0.729449 | − | 0.684035i | \(-0.239777\pi\) | |||||||
\(942\) | 87.4803 | − | 38.4938i | 2.85026 | − | 1.25420i | ||||
\(943\) | 32.0378 | − | 32.0378i | 1.04330 | − | 1.04330i | ||||
\(944\) | 3.07744 | + | 3.07744i | 0.100162 | + | 0.100162i | ||||
\(945\) | −0.998025 | + | 15.2372i | −0.0324658 | + | 0.495668i | ||||
\(946\) | 0.506313 | − | 0.292320i | 0.0164616 | − | 0.00950413i | ||||
\(947\) | 20.6598 | − | 5.53577i | 0.671353 | − | 0.179888i | 0.0929887 | − | 0.995667i | \(-0.470358\pi\) |
0.578364 | + | 0.815779i | \(0.303691\pi\) | |||||||
\(948\) | −22.0546 | + | 3.39486i | −0.716301 | + | 0.110260i | ||||
\(949\) | −4.32834 | + | 23.9921i | −0.140504 | + | 0.778816i | ||||
\(950\) | 30.6169 | + | 17.6767i | 0.993343 | + | 0.573507i | ||||
\(951\) | −22.1084 | + | 9.72833i | −0.716915 | + | 0.315463i | ||||
\(952\) | −7.80705 | + | 13.5222i | −0.253028 | + | 0.438258i | ||||
\(953\) | 14.3156 | − | 24.7953i | 0.463727 | − | 0.803199i | −0.535416 | − | 0.844588i | \(-0.679845\pi\) |
0.999143 | + | 0.0413898i | \(0.0131786\pi\) | |||||||
\(954\) | 0.356752 | + | 8.16544i | 0.0115503 | + | 0.264366i | ||||
\(955\) | −44.7259 | + | 11.9843i | −1.44730 | + | 0.387802i | ||||
\(956\) | 7.90973 | + | 7.90973i | 0.255819 | + | 0.255819i | ||||
\(957\) | −0.322599 | + | 0.141952i | −0.0104281 | + | 0.00458867i | ||||
\(958\) | −13.8692 | − | 24.0221i | −0.448092 | − | 0.776119i | ||||
\(959\) | −21.6166 | −0.698036 | ||||||||
\(960\) | 36.7073 | − | 50.0640i | 1.18472 | − | 1.61581i | ||||
\(961\) | 3.64709 | − | 2.10565i | 0.117648 | − | 0.0679241i | ||||
\(962\) | 49.9201 | + | 71.8967i | 1.60949 | + | 2.31804i | ||||
\(963\) | −16.6839 | − | 52.9091i | −0.537631 | − | 1.70497i | ||||
\(964\) | 15.6367 | − | 58.3571i | 0.503626 | − | 1.87956i | ||||
\(965\) | −47.5986 | − | 27.4811i | −1.53225 | − | 0.884647i | ||||
\(966\) | 28.1898 | − | 4.33926i | 0.906993 | − | 0.139613i | ||||
\(967\) | 25.3569 | − | 6.79437i | 0.815424 | − | 0.218492i | 0.173079 | − | 0.984908i | \(-0.444628\pi\) |
0.642345 | + | 0.766416i | \(0.277962\pi\) | |||||||
\(968\) | −36.9312 | − | 9.89570i | −1.18702 | − | 0.318060i | ||||
\(969\) | −13.0068 | − | 29.5589i | −0.417837 | − | 0.949569i | ||||
\(970\) | −59.5464 | − | 15.9554i | −1.91192 | − | 0.512297i | ||||
\(971\) | −33.8475 | − | 19.5418i | −1.08622 | − | 0.627127i | −0.153650 | − | 0.988125i | \(-0.549103\pi\) |
−0.932567 | + | 0.360998i | \(0.882436\pi\) | |||||||
\(972\) | 39.2362 | − | 37.5661i | 1.25850 | − | 1.20493i | ||||
\(973\) | 15.8943 | + | 4.25887i | 0.509548 | + | 0.136533i | ||||
\(974\) | 11.1603 | + | 19.3301i | 0.357598 | + | 0.619377i | ||||
\(975\) | 5.31003 | + | 22.0766i | 0.170057 | + | 0.707019i | ||||
\(976\) | −0.272038 | + | 0.471184i | −0.00870772 | + | 0.0150822i | ||||
\(977\) | 2.12778 | − | 2.12778i | 0.0680736 | − | 0.0680736i | −0.672250 | − | 0.740324i | \(-0.734672\pi\) |
0.740324 | + | 0.672250i | \(0.234672\pi\) | |||||||
\(978\) | −28.7515 | + | 73.9377i | −0.919373 | + | 2.36427i | ||||
\(979\) | − | 0.0313487i | − | 0.00100191i | ||||||
\(980\) | −7.24099 | + | 7.24099i | −0.231305 | + | 0.231305i | ||||
\(981\) | 38.0986 | − | 24.2730i | 1.21639 | − | 0.774978i | ||||
\(982\) | 9.98572 | + | 37.2672i | 0.318657 | + | 1.18924i | ||||
\(983\) | −7.41689 | + | 27.6802i | −0.236562 | + | 0.882862i | 0.740876 | + | 0.671641i | \(0.234410\pi\) |
−0.977438 | + | 0.211220i | \(0.932256\pi\) | |||||||
\(984\) | 30.2635 | − | 24.2898i | 0.964765 | − | 0.774329i | ||||
\(985\) | 31.0010i | 0.987773i | ||||||||
\(986\) | −25.3925 | − | 25.3925i | −0.808661 | − | 0.808661i | ||||
\(987\) | 2.28644 | + | 0.889110i | 0.0727783 | + | 0.0283007i | ||||
\(988\) | −9.26131 | + | 51.3355i | −0.294641 | + | 1.63320i | ||||
\(989\) | − | 29.4542i | − | 0.936588i | ||||||
\(990\) | 0.661144 | + | 1.03772i | 0.0210125 | + | 0.0329809i | ||||
\(991\) | 4.39628 | + | 7.61458i | 0.139652 | + | 0.241885i | 0.927365 | − | 0.374158i | \(-0.122068\pi\) |
−0.787713 | + | 0.616043i | \(0.788735\pi\) | |||||||
\(992\) | −24.9562 | −0.792360 | ||||||||
\(993\) | 52.1919 | + | 5.71516i | 1.65626 | + | 0.181365i | ||||
\(994\) | −3.25109 | + | 12.1332i | −0.103118 | + | 0.384843i | ||||
\(995\) | 2.49798 | − | 9.32259i | 0.0791913 | − | 0.295546i | ||||
\(996\) | −23.0504 | + | 31.4377i | −0.730379 | + | 0.996142i | ||||
\(997\) | −39.8882 | −1.26327 | −0.631636 | − | 0.775265i | \(-0.717616\pi\) | ||||
−0.631636 | + | 0.775265i | \(0.717616\pi\) | |||||||
\(998\) | −4.99514 | − | 8.65183i | −0.158118 | − | 0.273869i | ||||
\(999\) | 10.5103 | + | 52.8266i | 0.332531 | + | 1.67136i |
(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 | 819.2.fy.a.50.9 | yes | 336 | |
9.2 | odd | 6 | 819.2.ew.a.596.76 | ✓ | 336 | ||
13.6 | odd | 12 | 819.2.ew.a.617.76 | yes | 336 | ||
117.110 | even | 12 | inner | 819.2.fy.a.344.9 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.596.76 | ✓ | 336 | 9.2 | odd | 6 | ||
819.2.ew.a.617.76 | yes | 336 | 13.6 | odd | 12 | ||
819.2.fy.a.50.9 | yes | 336 | 1.1 | even | 1 | trivial | |
819.2.fy.a.344.9 | yes | 336 | 117.110 | even | 12 | inner |