Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(9,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.r (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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 9.17 | ||
Character | \(\chi\) | \(=\) | 287.9 |
Dual form | 287.2.r.c.32.17 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12292 | + | 0.648320i | 0.794027 | + | 0.458432i | 0.841378 | − | 0.540447i | \(-0.181745\pi\) |
−0.0473514 | + | 0.998878i | \(0.515078\pi\) | |||||||
\(3\) | 0.752557 | − | 2.80858i | 0.434489 | − | 1.62153i | −0.307798 | − | 0.951452i | \(-0.599592\pi\) |
0.742286 | − | 0.670083i | \(-0.233741\pi\) | |||||||
\(4\) | −0.159362 | − | 0.276022i | −0.0796808 | − | 0.138011i | ||||
\(5\) | −1.50273 | − | 0.867599i | −0.672040 | − | 0.388002i | 0.124809 | − | 0.992181i | \(-0.460168\pi\) |
−0.796849 | + | 0.604179i | \(0.793501\pi\) | |||||||
\(6\) | 2.66592 | − | 2.66592i | 1.08836 | − | 1.08836i | ||||
\(7\) | −0.701479 | + | 2.55106i | −0.265134 | + | 0.964212i | ||||
\(8\) | − | 3.00655i | − | 1.06298i | ||||||
\(9\) | −4.72371 | − | 2.72723i | −1.57457 | − | 0.909078i | ||||
\(10\) | −1.12496 | − | 1.94850i | −0.355745 | − | 0.616168i | ||||
\(11\) | 0.603332 | − | 2.25167i | 0.181911 | − | 0.678903i | −0.813359 | − | 0.581762i | \(-0.802364\pi\) |
0.995271 | − | 0.0971409i | \(-0.0309698\pi\) | |||||||
\(12\) | −0.895160 | + | 0.239857i | −0.258410 | + | 0.0692409i | ||||
\(13\) | 3.55754 | + | 3.55754i | 0.986685 | + | 0.986685i | 0.999913 | − | 0.0132276i | \(-0.00421058\pi\) |
−0.0132276 | + | 0.999913i | \(0.504211\pi\) | |||||||
\(14\) | −2.44161 | + | 2.40987i | −0.652549 | + | 0.644064i | ||||
\(15\) | −3.56761 | + | 3.56761i | −0.921153 | + | 0.921153i | ||||
\(16\) | 1.63048 | − | 2.82408i | 0.407621 | − | 0.706020i | ||||
\(17\) | 1.30217 | + | 0.348914i | 0.315822 | + | 0.0846242i | 0.413248 | − | 0.910619i | \(-0.364394\pi\) |
−0.0974261 | + | 0.995243i | \(0.531061\pi\) | |||||||
\(18\) | −3.53624 | − | 6.12495i | −0.833500 | − | 1.44366i | ||||
\(19\) | 0.586080 | + | 2.18728i | 0.134456 | + | 0.501796i | 1.00000 | 0.000962780i | \(0.000306462\pi\) | |
−0.865544 | + | 0.500834i | \(0.833027\pi\) | |||||||
\(20\) | 0.553048i | 0.123665i | ||||||||
\(21\) | 6.63697 | + | 3.88998i | 1.44830 | + | 0.848863i | ||||
\(22\) | 2.13730 | − | 2.13730i | 0.455673 | − | 0.455673i | ||||
\(23\) | 3.47726 | − | 6.02278i | 0.725058 | − | 1.25584i | −0.233892 | − | 0.972262i | \(-0.575146\pi\) |
0.958950 | − | 0.283574i | \(-0.0915203\pi\) | |||||||
\(24\) | −8.44414 | − | 2.26260i | −1.72365 | − | 0.461851i | ||||
\(25\) | −0.994543 | − | 1.72260i | −0.198909 | − | 0.344520i | ||||
\(26\) | 1.68842 | + | 6.30128i | 0.331127 | + | 1.23578i | ||||
\(27\) | −5.04644 | + | 5.04644i | −0.971188 | + | 0.971188i | ||||
\(28\) | 0.815940 | − | 0.212918i | 0.154198 | − | 0.0402377i | ||||
\(29\) | 0.651898 | + | 0.651898i | 0.121054 | + | 0.121054i | 0.765039 | − | 0.643984i | \(-0.222720\pi\) |
−0.643984 | + | 0.765039i | \(0.722720\pi\) | |||||||
\(30\) | −6.31911 | + | 1.69320i | −1.15371 | + | 0.309134i | ||||
\(31\) | 2.55565 | + | 4.42652i | 0.459009 | + | 0.795026i | 0.998909 | − | 0.0467027i | \(-0.0148713\pi\) |
−0.539900 | + | 0.841729i | \(0.681538\pi\) | |||||||
\(32\) | −1.54568 | + | 0.892398i | −0.273240 | + | 0.157755i | ||||
\(33\) | −5.86994 | − | 3.38901i | −1.02183 | − | 0.589951i | ||||
\(34\) | 1.23603 | + | 1.23603i | 0.211977 | + | 0.211977i | ||||
\(35\) | 3.26743 | − | 3.22495i | 0.552297 | − | 0.545116i | ||||
\(36\) | 1.73847i | 0.289744i | ||||||||
\(37\) | 3.37484 | − | 5.84540i | 0.554821 | − | 0.960977i | −0.443097 | − | 0.896474i | \(-0.646120\pi\) |
0.997917 | − | 0.0645037i | \(-0.0205464\pi\) | |||||||
\(38\) | −0.759935 | + | 2.83612i | −0.123278 | + | 0.460079i | ||||
\(39\) | 12.6689 | − | 7.31439i | 2.02865 | − | 1.17124i | ||||
\(40\) | −2.60848 | + | 4.51802i | −0.412437 | + | 0.714362i | ||||
\(41\) | 5.82327 | − | 2.66262i | 0.909442 | − | 0.415831i | ||||
\(42\) | 4.93085 | + | 8.67103i | 0.760847 | + | 1.33797i | ||||
\(43\) | 11.9603i | 1.82392i | 0.410276 | + | 0.911961i | \(0.365432\pi\) | ||||
−0.410276 | + | 0.911961i | \(0.634568\pi\) | |||||||
\(44\) | −0.717658 | + | 0.192296i | −0.108191 | + | 0.0289897i | ||||
\(45\) | 4.73229 | + | 8.19657i | 0.705448 | + | 1.22187i | ||||
\(46\) | 7.80938 | − | 4.50875i | 1.15143 | − | 0.664779i | ||||
\(47\) | 2.86486 | + | 10.6918i | 0.417883 | + | 1.55956i | 0.778990 | + | 0.627037i | \(0.215732\pi\) |
−0.361107 | + | 0.932525i | \(0.617601\pi\) | |||||||
\(48\) | −6.70463 | − | 6.70463i | −0.967730 | − | 0.967730i | ||||
\(49\) | −6.01586 | − | 3.57903i | −0.859408 | − | 0.511291i | ||||
\(50\) | − | 2.57913i | − | 0.364744i | ||||||
\(51\) | 1.95991 | − | 3.39466i | 0.274442 | − | 0.475348i | ||||
\(52\) | 0.415026 | − | 1.54890i | 0.0575537 | − | 0.214793i | ||||
\(53\) | −2.38438 | + | 8.89863i | −0.327520 | + | 1.22232i | 0.584235 | + | 0.811585i | \(0.301395\pi\) |
−0.911755 | + | 0.410736i | \(0.865272\pi\) | |||||||
\(54\) | −8.93847 | + | 2.39506i | −1.21637 | + | 0.325926i | ||||
\(55\) | −2.86019 | + | 2.86019i | −0.385667 | + | 0.385667i | ||||
\(56\) | 7.66990 | + | 2.10903i | 1.02493 | + | 0.281831i | ||||
\(57\) | 6.58421 | 0.872100 | ||||||||
\(58\) | 0.309393 | + | 1.15467i | 0.0406253 | + | 0.151616i | ||||
\(59\) | −0.182785 | − | 0.316594i | −0.0237966 | − | 0.0412170i | 0.853882 | − | 0.520467i | \(-0.174242\pi\) |
−0.877678 | + | 0.479250i | \(0.840909\pi\) | |||||||
\(60\) | 1.55328 | + | 0.416200i | 0.200528 | + | 0.0537312i | ||||
\(61\) | −1.12490 | − | 0.649464i | −0.144029 | − | 0.0831553i | 0.426254 | − | 0.904604i | \(-0.359833\pi\) |
−0.570283 | + | 0.821448i | \(0.693166\pi\) | |||||||
\(62\) | 6.62752i | 0.841696i | ||||||||
\(63\) | 10.2709 | − | 10.1374i | 1.29401 | − | 1.27719i | ||||
\(64\) | −8.83618 | −1.10452 | ||||||||
\(65\) | −2.25949 | − | 8.43253i | −0.280255 | − | 1.04593i | ||||
\(66\) | −4.39433 | − | 7.61121i | −0.540905 | − | 0.936875i | ||||
\(67\) | −15.2010 | − | 4.07309i | −1.85710 | − | 0.497607i | −0.857245 | − | 0.514909i | \(-0.827826\pi\) |
−0.999850 | + | 0.0173020i | \(0.994492\pi\) | |||||||
\(68\) | −0.111207 | − | 0.415031i | −0.0134859 | − | 0.0503299i | ||||
\(69\) | −14.2986 | − | 14.2986i | −1.72135 | − | 1.72135i | ||||
\(70\) | 5.75988 | − | 1.50303i | 0.688437 | − | 0.179646i | ||||
\(71\) | −2.32467 | − | 2.32467i | −0.275888 | − | 0.275888i | 0.555577 | − | 0.831465i | \(-0.312497\pi\) |
−0.831465 | + | 0.555577i | \(0.812497\pi\) | |||||||
\(72\) | −8.19956 | + | 14.2021i | −0.966328 | + | 1.67373i | ||||
\(73\) | −4.26864 | + | 2.46450i | −0.499606 | + | 0.288448i | −0.728551 | − | 0.684992i | \(-0.759806\pi\) |
0.228945 | + | 0.973439i | \(0.426472\pi\) | |||||||
\(74\) | 7.57938 | − | 4.37596i | 0.881085 | − | 0.508695i | ||||
\(75\) | −5.58651 | + | 1.49690i | −0.645074 | + | 0.172847i | ||||
\(76\) | 0.510340 | − | 0.510340i | 0.0585400 | − | 0.0585400i | ||||
\(77\) | 5.32092 | + | 3.11863i | 0.606375 | + | 0.355401i | ||||
\(78\) | 18.9683 | 2.14773 | ||||||||
\(79\) | 0.101951 | − | 0.0273178i | 0.0114704 | − | 0.00307349i | −0.253079 | − | 0.967446i | \(-0.581443\pi\) |
0.264550 | + | 0.964372i | \(0.414777\pi\) | |||||||
\(80\) | −4.90034 | + | 2.82921i | −0.547875 | + | 0.316316i | ||||
\(81\) | 2.19390 | + | 3.79994i | 0.243766 | + | 0.422216i | ||||
\(82\) | 8.26532 | + | 0.785429i | 0.912751 | + | 0.0867362i | ||||
\(83\) | 6.06355 | 0.665561 | 0.332781 | − | 0.943004i | \(-0.392013\pi\) | ||||
0.332781 | + | 0.943004i | \(0.392013\pi\) | |||||||
\(84\) | 0.0160440 | − | 2.45187i | 0.00175054 | − | 0.267520i | ||||
\(85\) | −1.65408 | − | 1.65408i | −0.179410 | − | 0.179410i | ||||
\(86\) | −7.75408 | + | 13.4305i | −0.836144 | + | 1.44824i | ||||
\(87\) | 2.32150 | − | 1.34032i | 0.248891 | − | 0.143697i | ||||
\(88\) | −6.76975 | − | 1.81395i | −0.721657 | − | 0.193368i | ||||
\(89\) | 2.82332 | − | 0.756506i | 0.299271 | − | 0.0801895i | −0.106059 | − | 0.994360i | \(-0.533823\pi\) |
0.405330 | + | 0.914170i | \(0.367157\pi\) | |||||||
\(90\) | 12.2722i | 1.29360i | ||||||||
\(91\) | −11.5711 | + | 6.57998i | −1.21298 | + | 0.689769i | ||||
\(92\) | −2.21656 | −0.231093 | ||||||||
\(93\) | 14.3555 | − | 3.84655i | 1.48860 | − | 0.398868i | ||||
\(94\) | −3.71470 | + | 13.8634i | −0.383142 | + | 1.42990i | ||||
\(95\) | 1.01696 | − | 3.79536i | 0.104338 | − | 0.389396i | ||||
\(96\) | 1.34316 | + | 5.01275i | 0.137086 | + | 0.511611i | ||||
\(97\) | −0.441870 | + | 0.441870i | −0.0448651 | + | 0.0448651i | −0.729183 | − | 0.684318i | \(-0.760100\pi\) |
0.684318 | + | 0.729183i | \(0.260100\pi\) | |||||||
\(98\) | −4.43499 | − | 7.91918i | −0.448001 | − | 0.799958i | ||||
\(99\) | −8.99078 | + | 8.99078i | −0.903607 | + | 0.903607i | ||||
\(100\) | −0.316984 | + | 0.549032i | −0.0316984 | + | 0.0549032i | ||||
\(101\) | −4.32172 | − | 1.15800i | −0.430027 | − | 0.115225i | 0.0373117 | − | 0.999304i | \(-0.488121\pi\) |
−0.467339 | + | 0.884078i | \(0.654787\pi\) | |||||||
\(102\) | 4.40166 | − | 2.54130i | 0.435829 | − | 0.251626i | ||||
\(103\) | −14.3033 | − | 8.25799i | −1.40934 | − | 0.813684i | −0.414018 | − | 0.910269i | \(-0.635875\pi\) |
−0.995325 | + | 0.0965846i | \(0.969208\pi\) | |||||||
\(104\) | 10.6959 | − | 10.6959i | 1.04882 | − | 1.04882i | ||||
\(105\) | −6.59860 | − | 11.6038i | −0.643957 | − | 1.13241i | ||||
\(106\) | −8.44664 | + | 8.44664i | −0.820410 | + | 0.820410i | ||||
\(107\) | −5.56803 | + | 9.64410i | −0.538281 | + | 0.932331i | 0.460715 | + | 0.887548i | \(0.347593\pi\) |
−0.998997 | + | 0.0447828i | \(0.985740\pi\) | |||||||
\(108\) | 2.19714 | + | 0.588722i | 0.211420 | + | 0.0566498i | ||||
\(109\) | 11.4776 | + | 3.07541i | 1.09935 | + | 0.294571i | 0.762501 | − | 0.646987i | \(-0.223971\pi\) |
0.336852 | + | 0.941557i | \(0.390638\pi\) | |||||||
\(110\) | −5.06609 | + | 1.35745i | −0.483032 | + | 0.129428i | ||||
\(111\) | −13.8775 | − | 13.8775i | −1.31719 | − | 1.31719i | ||||
\(112\) | 6.06066 | + | 6.14050i | 0.572679 | + | 0.580223i | ||||
\(113\) | −1.53669 | −0.144559 | −0.0722796 | − | 0.997384i | \(-0.523027\pi\) | ||||
−0.0722796 | + | 0.997384i | \(0.523027\pi\) | |||||||
\(114\) | 7.39356 | + | 4.26868i | 0.692471 | + | 0.399798i | ||||
\(115\) | −10.4507 | + | 6.03373i | −0.974535 | + | 0.562648i | ||||
\(116\) | 0.0760509 | − | 0.283826i | 0.00706115 | − | 0.0263526i | ||||
\(117\) | −7.10254 | − | 26.5070i | −0.656630 | − | 2.45058i | ||||
\(118\) | − | 0.474014i | − | 0.0436365i | ||||||
\(119\) | −1.80355 | + | 3.07715i | −0.165331 | + | 0.282082i | ||||
\(120\) | 10.7262 | + | 10.7262i | 0.979163 | + | 0.979163i | ||||
\(121\) | 4.82029 | + | 2.78300i | 0.438208 | + | 0.253000i | ||||
\(122\) | −0.842121 | − | 1.45860i | −0.0762420 | − | 0.132055i | ||||
\(123\) | −3.09583 | − | 18.3589i | −0.279142 | − | 1.65537i | ||||
\(124\) | 0.814546 | − | 1.41084i | 0.0731484 | − | 0.126697i | ||||
\(125\) | 12.1275i | 1.08471i | ||||||||
\(126\) | 18.1057 | − | 4.72466i | 1.61299 | − | 0.420906i | ||||
\(127\) | 14.6097 | 1.29640 | 0.648202 | − | 0.761468i | \(-0.275521\pi\) | ||||
0.648202 | + | 0.761468i | \(0.275521\pi\) | |||||||
\(128\) | −6.83099 | − | 3.94388i | −0.603780 | − | 0.348593i | ||||
\(129\) | 33.5914 | + | 9.00078i | 2.95755 | + | 0.792474i | ||||
\(130\) | 2.92975 | − | 10.9340i | 0.256956 | − | 0.958972i | ||||
\(131\) | −2.35463 | − | 1.35945i | −0.205725 | − | 0.118775i | 0.393598 | − | 0.919283i | \(-0.371230\pi\) |
−0.599323 | + | 0.800507i | \(0.704564\pi\) | |||||||
\(132\) | 2.16031i | 0.188031i | ||||||||
\(133\) | −5.99101 | − | 0.0392027i | −0.519487 | − | 0.00339931i | ||||
\(134\) | −14.4289 | − | 14.4289i | −1.24646 | − | 1.24646i | ||||
\(135\) | 11.9617 | − | 3.20513i | 1.02950 | − | 0.275854i | ||||
\(136\) | 1.04903 | − | 3.91503i | 0.0899535 | − | 0.335711i | ||||
\(137\) | 17.2371 | + | 4.61866i | 1.47266 | + | 0.394599i | 0.903843 | − | 0.427863i | \(-0.140734\pi\) |
0.568820 | + | 0.822462i | \(0.307400\pi\) | |||||||
\(138\) | −6.78618 | − | 25.3264i | −0.577678 | − | 2.15592i | ||||
\(139\) | −10.8708 | −0.922048 | −0.461024 | − | 0.887388i | \(-0.652518\pi\) | ||||
−0.461024 | + | 0.887388i | \(0.652518\pi\) | |||||||
\(140\) | −1.41086 | − | 0.387952i | −0.119240 | − | 0.0327879i | ||||
\(141\) | 32.1848 | 2.71045 | ||||||||
\(142\) | −1.10330 | − | 4.11756i | −0.0925866 | − | 0.345538i | ||||
\(143\) | 10.1568 | − | 5.86402i | 0.849352 | − | 0.490374i | ||||
\(144\) | −15.4039 | + | 8.89342i | −1.28365 | + | 0.741118i | ||||
\(145\) | −0.414038 | − | 1.54521i | −0.0343839 | − | 0.128323i | ||||
\(146\) | −6.39114 | −0.528934 | ||||||||
\(147\) | −14.5793 | + | 14.2026i | −1.20248 | + | 1.17141i | ||||
\(148\) | −2.15128 | −0.176834 | ||||||||
\(149\) | 1.11656 | + | 4.16705i | 0.0914720 | + | 0.341378i | 0.996461 | − | 0.0840568i | \(-0.0267877\pi\) |
−0.904989 | + | 0.425435i | \(0.860121\pi\) | |||||||
\(150\) | −7.24369 | − | 1.94094i | −0.591445 | − | 0.158477i | ||||
\(151\) | −2.04974 | + | 7.64975i | −0.166806 | + | 0.622528i | 0.830997 | + | 0.556277i | \(0.187770\pi\) |
−0.997803 | + | 0.0662510i | \(0.978896\pi\) | |||||||
\(152\) | 6.57617 | − | 1.76208i | 0.533398 | − | 0.142923i | ||||
\(153\) | −5.19948 | − | 5.19948i | −0.420353 | − | 0.420353i | ||||
\(154\) | 3.95311 | + | 6.95165i | 0.318551 | + | 0.560180i | ||||
\(155\) | − | 8.86913i | − | 0.712386i | ||||||
\(156\) | −4.03787 | − | 2.33127i | −0.323289 | − | 0.186651i | ||||
\(157\) | 3.27922 | − | 12.2382i | 0.261710 | − | 0.976716i | −0.702523 | − | 0.711661i | \(-0.747943\pi\) |
0.964233 | − | 0.265055i | \(-0.0853902\pi\) | |||||||
\(158\) | 0.132194 | + | 0.0354214i | 0.0105168 | + | 0.00281797i | ||||
\(159\) | 23.1981 | + | 13.3934i | 1.83973 | + | 1.06217i | ||||
\(160\) | 3.09698 | 0.244838 | ||||||||
\(161\) | 12.9253 | + | 13.0956i | 1.01866 | + | 1.03207i | ||||
\(162\) | 5.68939i | 0.447001i | ||||||||
\(163\) | −2.49791 | + | 4.32651i | −0.195651 | + | 0.338878i | −0.947114 | − | 0.320898i | \(-0.896015\pi\) |
0.751462 | + | 0.659776i | \(0.229349\pi\) | |||||||
\(164\) | −1.66295 | − | 1.18303i | −0.129854 | − | 0.0923795i | ||||
\(165\) | 5.88061 | + | 10.1855i | 0.457805 | + | 0.792941i | ||||
\(166\) | 6.80891 | + | 3.93112i | 0.528474 | + | 0.305114i | ||||
\(167\) | −3.22374 | − | 3.22374i | −0.249460 | − | 0.249460i | 0.571289 | − | 0.820749i | \(-0.306444\pi\) |
−0.820749 | + | 0.571289i | \(0.806444\pi\) | |||||||
\(168\) | 11.6954 | − | 19.9544i | 0.902321 | − | 1.53951i | ||||
\(169\) | 12.3122i | 0.947094i | ||||||||
\(170\) | −0.785033 | − | 2.92978i | −0.0602093 | − | 0.224704i | ||||
\(171\) | 3.19675 | − | 11.9304i | 0.244462 | − | 0.912344i | ||||
\(172\) | 3.30130 | − | 1.90601i | 0.251722 | − | 0.145332i | ||||
\(173\) | −0.243704 | − | 0.140703i | −0.0185285 | − | 0.0106974i | 0.490707 | − | 0.871325i | \(-0.336738\pi\) |
−0.509236 | + | 0.860627i | \(0.670072\pi\) | |||||||
\(174\) | 3.47582 | 0.263501 | ||||||||
\(175\) | 5.09211 | − | 1.32878i | 0.384927 | − | 0.100446i | ||||
\(176\) | −5.37516 | − | 5.37516i | −0.405168 | − | 0.405168i | ||||
\(177\) | −1.02674 | + | 0.275113i | −0.0771741 | + | 0.0206787i | ||||
\(178\) | 3.66083 | + | 0.980916i | 0.274391 | + | 0.0735228i | ||||
\(179\) | −21.1456 | − | 5.66594i | −1.58049 | − | 0.423492i | −0.641416 | − | 0.767194i | \(-0.721653\pi\) |
−0.939079 | + | 0.343701i | \(0.888319\pi\) | |||||||
\(180\) | 1.50829 | − | 2.61244i | 0.112421 | − | 0.194720i | ||||
\(181\) | 1.98291 | − | 1.98291i | 0.147389 | − | 0.147389i | −0.629562 | − | 0.776951i | \(-0.716765\pi\) |
0.776951 | + | 0.629562i | \(0.216765\pi\) | |||||||
\(182\) | −17.2594 | − | 0.112938i | −1.27935 | − | 0.00837153i | ||||
\(183\) | −2.67062 | + | 2.67062i | −0.197418 | + | 0.197418i | ||||
\(184\) | −18.1078 | − | 10.4545i | −1.33492 | − | 0.770719i | ||||
\(185\) | −10.1429 | + | 5.85602i | −0.745723 | + | 0.430543i | ||||
\(186\) | 18.6139 | + | 4.98759i | 1.36484 | + | 0.365708i | ||||
\(187\) | 1.57128 | − | 2.72153i | 0.114903 | − | 0.199018i | ||||
\(188\) | 2.49463 | − | 2.49463i | 0.181940 | − | 0.181940i | ||||
\(189\) | −9.33382 | − | 16.4138i | −0.678935 | − | 1.19393i | ||||
\(190\) | 3.60259 | − | 3.60259i | 0.261359 | − | 0.261359i | ||||
\(191\) | −2.08624 | − | 7.78595i | −0.150955 | − | 0.563372i | −0.999418 | − | 0.0341169i | \(-0.989138\pi\) |
0.848463 | − | 0.529255i | \(-0.177529\pi\) | |||||||
\(192\) | −6.64973 | + | 24.8171i | −0.479903 | + | 1.79102i | ||||
\(193\) | 1.45499 | − | 5.43009i | 0.104732 | − | 0.390867i | −0.893582 | − | 0.448899i | \(-0.851816\pi\) |
0.998315 | + | 0.0580328i | \(0.0184828\pi\) | |||||||
\(194\) | −0.782660 | + | 0.209713i | −0.0561917 | + | 0.0150565i | ||||
\(195\) | −25.3838 | −1.81777 | ||||||||
\(196\) | −0.0291971 | + | 2.23087i | −0.00208551 | + | 0.159348i | ||||
\(197\) | − | 27.8537i | − | 1.98449i | −0.124295 | − | 0.992245i | \(-0.539667\pi\) | ||
0.124295 | − | 0.992245i | \(-0.460333\pi\) | |||||||
\(198\) | −15.9249 | + | 4.26705i | −1.13173 | + | 0.303246i | ||||
\(199\) | 20.3057 | + | 5.44090i | 1.43943 | + | 0.385695i | 0.892335 | − | 0.451373i | \(-0.149066\pi\) |
0.547098 | + | 0.837068i | \(0.315732\pi\) | |||||||
\(200\) | −5.17908 | + | 2.99014i | −0.366216 | + | 0.211435i | ||||
\(201\) | −22.8792 | + | 39.6279i | −1.61377 | + | 2.79514i | ||||
\(202\) | −4.10221 | − | 4.10221i | −0.288630 | − | 0.288630i | ||||
\(203\) | −2.12032 | + | 1.20574i | −0.148818 | + | 0.0846264i | ||||
\(204\) | −1.24934 | −0.0874711 | ||||||||
\(205\) | −11.0609 | − | 1.05108i | −0.772524 | − | 0.0734108i | ||||
\(206\) | −10.7076 | − | 18.5462i | −0.746037 | − | 1.29217i | ||||
\(207\) | −32.8511 | + | 18.9666i | −2.28331 | + | 1.31827i | ||||
\(208\) | 15.8473 | − | 4.24627i | 1.09881 | − | 0.294426i | ||||
\(209\) | 5.27862 | 0.365130 | ||||||||
\(210\) | 0.113258 | − | 17.3082i | 0.00781552 | − | 1.19438i | ||||
\(211\) | −3.91616 | + | 3.91616i | −0.269599 | + | 0.269599i | −0.828939 | − | 0.559339i | \(-0.811055\pi\) |
0.559339 | + | 0.828939i | \(0.311055\pi\) | |||||||
\(212\) | 2.83620 | − | 0.759957i | 0.194791 | − | 0.0521941i | ||||
\(213\) | −8.27848 | + | 4.77958i | −0.567232 | + | 0.327491i | ||||
\(214\) | −12.5049 | + | 7.21973i | −0.854820 | + | 0.493530i | ||||
\(215\) | 10.3767 | − | 17.9730i | 0.707686 | − | 1.22575i | ||||
\(216\) | 15.1724 | + | 15.1724i | 1.03235 | + | 1.03235i | ||||
\(217\) | −13.0851 | + | 3.41452i | −0.888272 | + | 0.231793i | ||||
\(218\) | 10.8946 | + | 10.8946i | 0.737876 | + | 0.737876i | ||||
\(219\) | 3.70935 | + | 13.8435i | 0.250655 | + | 0.935456i | ||||
\(220\) | 1.24528 | + | 0.333672i | 0.0839567 | + | 0.0224961i | ||||
\(221\) | 3.39124 | + | 5.87379i | 0.228119 | + | 0.395114i | ||||
\(222\) | −6.58631 | − | 24.5805i | −0.442044 | − | 1.64973i | ||||
\(223\) | 4.00133 | 0.267949 | 0.133974 | − | 0.990985i | \(-0.457226\pi\) | ||||
0.133974 | + | 0.990985i | \(0.457226\pi\) | |||||||
\(224\) | −1.19230 | − | 4.56913i | −0.0796642 | − | 0.305288i | ||||
\(225\) | 10.8494i | 0.723293i | ||||||||
\(226\) | −1.72558 | − | 0.996264i | −0.114784 | − | 0.0662705i | ||||
\(227\) | 5.72532 | + | 1.53410i | 0.380003 | + | 0.101821i | 0.443764 | − | 0.896144i | \(-0.353643\pi\) |
−0.0637610 | + | 0.997965i | \(0.520310\pi\) | |||||||
\(228\) | −1.04927 | − | 1.81739i | −0.0694896 | − | 0.120360i | ||||
\(229\) | 5.65084 | + | 21.0892i | 0.373418 | + | 1.39362i | 0.855642 | + | 0.517567i | \(0.173162\pi\) |
−0.482224 | + | 0.876048i | \(0.660171\pi\) | |||||||
\(230\) | −15.6472 | −1.03174 | ||||||||
\(231\) | 12.7632 | − | 12.5973i | 0.839759 | − | 0.828840i | ||||
\(232\) | 1.95996 | − | 1.95996i | 0.128678 | − | 0.128678i | ||||
\(233\) | 21.4605 | − | 5.75032i | 1.40592 | − | 0.376716i | 0.525456 | − | 0.850821i | \(-0.323895\pi\) |
0.880469 | + | 0.474105i | \(0.157228\pi\) | |||||||
\(234\) | 9.20944 | − | 34.3701i | 0.602040 | − | 2.24684i | ||||
\(235\) | 4.97111 | − | 18.5524i | 0.324279 | − | 1.21023i | ||||
\(236\) | −0.0582580 | + | 0.100906i | −0.00379227 | + | 0.00656841i | ||||
\(237\) | − | 0.306897i | − | 0.0199351i | ||||||
\(238\) | −4.02023 | + | 2.28613i | −0.260592 | + | 0.148188i | ||||
\(239\) | −14.7641 | − | 14.7641i | −0.955011 | − | 0.955011i | 0.0440196 | − | 0.999031i | \(-0.485984\pi\) |
−0.999031 | + | 0.0440196i | \(0.985984\pi\) | |||||||
\(240\) | 4.25829 | + | 15.8922i | 0.274871 | + | 1.02583i | ||||
\(241\) | −23.6419 | + | 13.6496i | −1.52291 | + | 0.879250i | −0.523273 | + | 0.852165i | \(0.675289\pi\) |
−0.999633 | + | 0.0270850i | \(0.991378\pi\) | |||||||
\(242\) | 3.60855 | + | 6.25018i | 0.231966 | + | 0.401777i | ||||
\(243\) | −8.35721 | + | 2.23931i | −0.536115 | + | 0.143652i | ||||
\(244\) | 0.413998i | 0.0265035i | ||||||||
\(245\) | 5.93502 | + | 10.5977i | 0.379174 | + | 0.677060i | ||||
\(246\) | 8.42606 | − | 22.6227i | 0.537226 | − | 1.44237i | ||||
\(247\) | −5.69634 | + | 9.86635i | −0.362449 | + | 0.627781i | ||||
\(248\) | 13.3086 | − | 7.68370i | 0.845094 | − | 0.487915i | ||||
\(249\) | 4.56317 | − | 17.0300i | 0.289179 | − | 1.07923i | ||||
\(250\) | −7.86247 | + | 13.6182i | −0.497266 | + | 0.861291i | ||||
\(251\) | − | 4.75952i | − | 0.300418i | −0.988654 | − | 0.150209i | \(-0.952005\pi\) | ||
0.988654 | − | 0.150209i | \(-0.0479947\pi\) | |||||||
\(252\) | −4.43494 | − | 1.21950i | −0.279375 | − | 0.0768210i | ||||
\(253\) | −11.4634 | − | 11.4634i | −0.720695 | − | 0.720695i | ||||
\(254\) | 16.4056 | + | 9.47179i | 1.02938 | + | 0.594313i | ||||
\(255\) | −5.89041 | + | 3.40083i | −0.368872 | + | 0.212968i | ||||
\(256\) | 3.72239 | + | 6.44737i | 0.232649 | + | 0.402960i | ||||
\(257\) | 2.87039 | − | 0.769118i | 0.179050 | − | 0.0479763i | −0.168180 | − | 0.985756i | \(-0.553789\pi\) |
0.347230 | + | 0.937780i | \(0.387122\pi\) | |||||||
\(258\) | 31.8851 | + | 31.8851i | 1.98508 | + | 1.98508i | ||||
\(259\) | 12.5446 | + | 12.7099i | 0.779484 | + | 0.789752i | ||||
\(260\) | −1.96749 | + | 1.96749i | −0.122019 | + | 0.122019i | ||||
\(261\) | −1.30150 | − | 4.85725i | −0.0805606 | − | 0.300656i | ||||
\(262\) | −1.76271 | − | 3.05311i | −0.108901 | − | 0.188622i | ||||
\(263\) | 13.5150 | + | 3.62132i | 0.833368 | + | 0.223300i | 0.650182 | − | 0.759778i | \(-0.274692\pi\) |
0.183185 | + | 0.983078i | \(0.441359\pi\) | |||||||
\(264\) | −10.1892 | + | 17.6483i | −0.627104 | + | 1.08618i | ||||
\(265\) | 11.3035 | − | 11.3035i | 0.694369 | − | 0.694369i | ||||
\(266\) | −6.70203 | − | 3.92812i | −0.410928 | − | 0.240848i | ||||
\(267\) | − | 8.49883i | − | 0.520120i | ||||||
\(268\) | 1.29819 | + | 4.84491i | 0.0792995 | + | 0.295950i | ||||
\(269\) | 4.18299 | + | 7.24516i | 0.255042 | + | 0.441745i | 0.964907 | − | 0.262593i | \(-0.0845775\pi\) |
−0.709865 | + | 0.704338i | \(0.751244\pi\) | |||||||
\(270\) | 15.5100 | + | 4.15590i | 0.943910 | + | 0.252920i | ||||
\(271\) | −11.0081 | + | 19.0665i | −0.668692 | + | 1.15821i | 0.309578 | + | 0.950874i | \(0.399812\pi\) |
−0.978270 | + | 0.207335i | \(0.933521\pi\) | |||||||
\(272\) | 3.10853 | − | 3.10853i | 0.188482 | − | 0.188482i | ||||
\(273\) | 9.77252 | + | 37.4501i | 0.591460 | + | 2.26658i | ||||
\(274\) | 16.3616 | + | 16.3616i | 0.988438 | + | 0.988438i | ||||
\(275\) | −4.47876 | + | 1.20008i | −0.270079 | + | 0.0723675i | ||||
\(276\) | −1.66809 | + | 6.22540i | −0.100407 | + | 0.374725i | ||||
\(277\) | 1.93858 | + | 3.35771i | 0.116478 | + | 0.201745i | 0.918369 | − | 0.395724i | \(-0.129506\pi\) |
−0.801892 | + | 0.597469i | \(0.796173\pi\) | |||||||
\(278\) | −12.2071 | − | 7.04775i | −0.732131 | − | 0.422696i | ||||
\(279\) | − | 27.8794i | − | 1.66910i | ||||||
\(280\) | −9.69597 | − | 9.82370i | −0.579445 | − | 0.587078i | ||||
\(281\) | 5.40303 | − | 5.40303i | 0.322318 | − | 0.322318i | −0.527338 | − | 0.849656i | \(-0.676810\pi\) |
0.849656 | + | 0.527338i | \(0.176810\pi\) | |||||||
\(282\) | 36.1411 | + | 20.8660i | 2.15217 | + | 1.24256i | ||||
\(283\) | 3.28963 | + | 5.69781i | 0.195548 | + | 0.338699i | 0.947080 | − | 0.320997i | \(-0.104018\pi\) |
−0.751532 | + | 0.659697i | \(0.770685\pi\) | |||||||
\(284\) | −0.271198 | + | 1.01213i | −0.0160927 | + | 0.0600586i | ||||
\(285\) | −9.89426 | − | 5.71245i | −0.586085 | − | 0.338377i | ||||
\(286\) | 15.2070 | 0.899212 | ||||||||
\(287\) | 2.70760 | + | 16.7233i | 0.159825 | + | 0.987145i | ||||
\(288\) | 9.73511 | 0.573647 | ||||||||
\(289\) | −13.1485 | − | 7.59131i | −0.773443 | − | 0.446548i | ||||
\(290\) | 0.536858 | − | 2.00358i | 0.0315254 | − | 0.117654i | ||||
\(291\) | 0.908495 | + | 1.57356i | 0.0532569 | + | 0.0922437i | ||||
\(292\) | 1.36051 | + | 0.785493i | 0.0796181 | + | 0.0459675i | ||||
\(293\) | −1.45657 | + | 1.45657i | −0.0850936 | + | 0.0850936i | −0.748372 | − | 0.663279i | \(-0.769164\pi\) |
0.663279 | + | 0.748372i | \(0.269164\pi\) | |||||||
\(294\) | −25.5792 | + | 6.49638i | −1.49181 | + | 0.378877i | ||||
\(295\) | 0.634338i | 0.0369326i | ||||||||
\(296\) | −17.5745 | − | 10.1466i | −1.02150 | − | 0.589761i | ||||
\(297\) | 8.31821 | + | 14.4076i | 0.482672 | + | 0.836012i | ||||
\(298\) | −1.44777 | + | 5.40317i | −0.0838674 | + | 0.312997i | ||||
\(299\) | 33.7968 | − | 9.05582i | 1.95452 | − | 0.523712i | ||||
\(300\) | 1.30345 | + | 1.30345i | 0.0752549 | + | 0.0752549i | ||||
\(301\) | −30.5114 | − | 8.38987i | −1.75865 | − | 0.483584i | ||||
\(302\) | −7.26119 | + | 7.26119i | −0.417835 | + | 0.417835i | ||||
\(303\) | −6.50468 | + | 11.2664i | −0.373684 | + | 0.647240i | ||||
\(304\) | 7.13265 | + | 1.91119i | 0.409086 | + | 0.109614i | ||||
\(305\) | 1.12695 | + | 1.95193i | 0.0645289 | + | 0.111767i | ||||
\(306\) | −2.46769 | − | 9.20955i | −0.141069 | − | 0.526475i | ||||
\(307\) | − | 19.8352i | − | 1.13205i | −0.824386 | − | 0.566027i | \(-0.808480\pi\) | ||
0.824386 | − | 0.566027i | \(-0.191520\pi\) | |||||||
\(308\) | 0.0128626 | − | 1.96568i | 0.000732916 | − | 0.112005i | ||||
\(309\) | −33.9573 | + | 33.9573i | −1.93176 | + | 1.93176i | ||||
\(310\) | 5.75004 | − | 9.95935i | 0.326580 | − | 0.565653i | ||||
\(311\) | −22.3373 | − | 5.98526i | −1.26663 | − | 0.339393i | −0.437892 | − | 0.899028i | \(-0.644275\pi\) |
−0.828739 | + | 0.559635i | \(0.810941\pi\) | |||||||
\(312\) | −21.9911 | − | 38.0897i | −1.24500 | − | 2.15640i | ||||
\(313\) | 6.85072 | + | 25.5672i | 0.387225 | + | 1.44515i | 0.834629 | + | 0.550813i | \(0.185682\pi\) |
−0.447403 | + | 0.894332i | \(0.647651\pi\) | |||||||
\(314\) | 11.6166 | − | 11.6166i | 0.655563 | − | 0.655563i | ||||
\(315\) | −24.2296 | + | 6.32266i | −1.36518 | + | 0.356241i | ||||
\(316\) | −0.0237875 | − | 0.0237875i | −0.00133815 | − | 0.00133815i | ||||
\(317\) | 12.6385 | − | 3.38647i | 0.709848 | − | 0.190203i | 0.114210 | − | 0.993457i | \(-0.463566\pi\) |
0.595637 | + | 0.803254i | \(0.296900\pi\) | |||||||
\(318\) | 17.3665 | + | 30.0796i | 0.973864 | + | 1.68678i | ||||
\(319\) | 1.86117 | − | 1.07454i | 0.104205 | − | 0.0601630i | ||||
\(320\) | 13.2784 | + | 7.66626i | 0.742283 | + | 0.428557i | ||||
\(321\) | 22.8960 | + | 22.8960i | 1.27793 | + | 1.27793i | ||||
\(322\) | 6.02399 | + | 23.0850i | 0.335704 | + | 1.28648i | ||||
\(323\) | 3.05269i | 0.169856i | ||||||||
\(324\) | 0.699246 | − | 1.21113i | 0.0388470 | − | 0.0672850i | ||||
\(325\) | 2.59009 | − | 9.66635i | 0.143672 | − | 0.536193i | ||||
\(326\) | −5.60992 | + | 3.23889i | −0.310705 | + | 0.179386i | ||||
\(327\) | 17.2751 | − | 29.9213i | 0.955314 | − | 1.65465i | ||||
\(328\) | −8.00529 | − | 17.5080i | −0.442018 | − | 0.966715i | ||||
\(329\) | −29.2851 | − | 0.191630i | −1.61454 | − | 0.0105649i | ||||
\(330\) | 15.2501i | 0.839489i | ||||||||
\(331\) | 15.3223 | − | 4.10559i | 0.842189 | − | 0.225664i | 0.188165 | − | 0.982137i | \(-0.439746\pi\) |
0.654024 | + | 0.756474i | \(0.273079\pi\) | |||||||
\(332\) | −0.966298 | − | 1.67368i | −0.0530325 | − | 0.0918550i | ||||
\(333\) | −31.8835 | + | 18.4080i | −1.74721 | + | 1.00875i | ||||
\(334\) | −1.53000 | − | 5.71003i | −0.0837177 | − | 0.312439i | ||||
\(335\) | 19.3091 | + | 19.3091i | 1.05497 | + | 1.05497i | ||||
\(336\) | 21.8071 | − | 12.4008i | 1.18967 | − | 0.676518i | ||||
\(337\) | 5.49246i | 0.299194i | 0.988747 | + | 0.149597i | \(0.0477975\pi\) | ||||
−0.988747 | + | 0.149597i | \(0.952202\pi\) | |||||||
\(338\) | −7.98227 | + | 13.8257i | −0.434178 | + | 0.752018i | ||||
\(339\) | −1.15644 | + | 4.31590i | −0.0628094 | + | 0.234408i | ||||
\(340\) | −0.192967 | + | 0.720161i | −0.0104651 | + | 0.0390562i | ||||
\(341\) | 11.5089 | − | 3.08381i | 0.623245 | − | 0.166998i | ||||
\(342\) | 11.3245 | − | 11.3245i | 0.612356 | − | 0.612356i | ||||
\(343\) | 13.3503 | − | 12.8362i | 0.720851 | − | 0.693091i | ||||
\(344\) | 35.9591 | 1.93879 | ||||||||
\(345\) | 9.08145 | + | 33.8924i | 0.488929 | + | 1.82471i | ||||
\(346\) | −0.182441 | − | 0.315997i | −0.00980807 | − | 0.0169881i | ||||
\(347\) | −34.5410 | − | 9.25524i | −1.85426 | − | 0.496848i | −0.854515 | − | 0.519426i | \(-0.826146\pi\) |
−0.999745 | + | 0.0225788i | \(0.992812\pi\) | |||||||
\(348\) | −0.739915 | − | 0.427190i | −0.0396636 | − | 0.0228998i | ||||
\(349\) | − | 0.658383i | − | 0.0352424i | −0.999845 | − | 0.0176212i | \(-0.994391\pi\) | ||
0.999845 | − | 0.0176212i | \(-0.00560929\pi\) | |||||||
\(350\) | 6.57952 | + | 1.80920i | 0.351690 | + | 0.0967060i | ||||
\(351\) | −35.9058 | −1.91651 | ||||||||
\(352\) | 1.07683 | + | 4.01877i | 0.0573950 | + | 0.214201i | ||||
\(353\) | −12.9827 | − | 22.4866i | −0.690997 | − | 1.19684i | −0.971512 | − | 0.236992i | \(-0.923838\pi\) |
0.280514 | − | 0.959850i | \(-0.409495\pi\) | |||||||
\(354\) | −1.33131 | − | 0.356722i | −0.0707581 | − | 0.0189596i | ||||
\(355\) | 1.47646 | + | 5.51023i | 0.0783624 | + | 0.292453i | ||||
\(356\) | −0.658741 | − | 0.658741i | −0.0349132 | − | 0.0349132i | ||||
\(357\) | 7.28517 | + | 7.38114i | 0.385572 | + | 0.390651i | ||||
\(358\) | −20.0715 | − | 20.0715i | −1.06081 | − | 1.06081i | ||||
\(359\) | −2.04747 | + | 3.54633i | −0.108061 | + | 0.187168i | −0.914985 | − | 0.403488i | \(-0.867798\pi\) |
0.806923 | + | 0.590656i | \(0.201131\pi\) | |||||||
\(360\) | 24.6434 | − | 14.2279i | 1.29882 | − | 0.749875i | ||||
\(361\) | 12.0138 | − | 6.93616i | 0.632304 | − | 0.365061i | ||||
\(362\) | 3.51223 | − | 0.941098i | 0.184598 | − | 0.0494630i | ||||
\(363\) | 11.4438 | − | 11.4438i | 0.600644 | − | 0.600644i | ||||
\(364\) | 3.66021 | + | 2.14528i | 0.191847 | + | 0.112443i | ||||
\(365\) | 8.55279 | 0.447673 | ||||||||
\(366\) | −4.73033 | + | 1.26749i | −0.247258 | + | 0.0662526i | ||||
\(367\) | −30.7196 | + | 17.7360i | −1.60355 | + | 0.925811i | −0.612783 | + | 0.790251i | \(0.709950\pi\) |
−0.990769 | + | 0.135560i | \(0.956717\pi\) | |||||||
\(368\) | −11.3392 | − | 19.6401i | −0.591098 | − | 1.02381i | ||||
\(369\) | −34.7690 | − | 3.30400i | −1.81000 | − | 0.171999i | ||||
\(370\) | −15.1863 | −0.789499 | ||||||||
\(371\) | −21.0284 | − | 12.3249i | −1.09174 | − | 0.639877i | ||||
\(372\) | −3.34945 | − | 3.34945i | −0.173661 | − | 0.173661i | ||||
\(373\) | 7.15769 | − | 12.3975i | 0.370611 | − | 0.641917i | −0.619048 | − | 0.785353i | \(-0.712482\pi\) |
0.989660 | + | 0.143435i | \(0.0458149\pi\) | |||||||
\(374\) | 3.52885 | − | 2.03738i | 0.182472 | − | 0.105351i | ||||
\(375\) | 34.0609 | + | 9.12660i | 1.75890 | + | 0.471295i | ||||
\(376\) | 32.1455 | − | 8.61335i | 1.65778 | − | 0.444200i | ||||
\(377\) | 4.63831i | 0.238885i | ||||||||
\(378\) | 0.160205 | − | 24.4827i | 0.00824004 | − | 1.25925i | ||||
\(379\) | −7.86975 | −0.404242 | −0.202121 | − | 0.979361i | \(-0.564783\pi\) | ||||
−0.202121 | + | 0.979361i | \(0.564783\pi\) | |||||||
\(380\) | −1.20967 | + | 0.324130i | −0.0620548 | + | 0.0166275i | ||||
\(381\) | 10.9947 | − | 41.0326i | 0.563273 | − | 2.10216i | ||||
\(382\) | 2.70510 | − | 10.0956i | 0.138405 | − | 0.516535i | ||||
\(383\) | 1.78146 | + | 6.64848i | 0.0910281 | + | 0.339722i | 0.996387 | − | 0.0849250i | \(-0.0270651\pi\) |
−0.905359 | + | 0.424646i | \(0.860398\pi\) | |||||||
\(384\) | −16.2174 | + | 16.2174i | −0.827591 | + | 0.827591i | ||||
\(385\) | −5.29016 | − | 9.30288i | −0.269611 | − | 0.474119i | ||||
\(386\) | 5.15428 | − | 5.15428i | 0.262346 | − | 0.262346i | ||||
\(387\) | 32.6184 | − | 56.4968i | 1.65809 | − | 2.87189i | ||||
\(388\) | 0.192383 | + | 0.0515489i | 0.00976678 | + | 0.00261700i | ||||
\(389\) | −24.0731 | + | 13.8986i | −1.22056 | + | 0.704688i | −0.965036 | − | 0.262116i | \(-0.915580\pi\) |
−0.255519 | + | 0.966804i | \(0.582246\pi\) | |||||||
\(390\) | −28.5041 | − | 16.4569i | −1.44336 | − | 0.833326i | ||||
\(391\) | 6.62940 | − | 6.62940i | 0.335263 | − | 0.335263i | ||||
\(392\) | −10.7605 | + | 18.0870i | −0.543490 | + | 0.913530i | ||||
\(393\) | −5.59011 | + | 5.59011i | −0.281984 | + | 0.281984i | ||||
\(394\) | 18.0581 | − | 31.2775i | 0.909753 | − | 1.57574i | ||||
\(395\) | −0.176906 | − | 0.0474018i | −0.00890110 | − | 0.00238504i | ||||
\(396\) | 3.91444 | + | 1.04887i | 0.196708 | + | 0.0527078i | ||||
\(397\) | −11.6447 | + | 3.12020i | −0.584432 | + | 0.156598i | −0.538907 | − | 0.842365i | \(-0.681163\pi\) |
−0.0455250 | + | 0.998963i | \(0.514496\pi\) | |||||||
\(398\) | 19.2743 | + | 19.2743i | 0.966134 | + | 0.966134i | ||||
\(399\) | −4.61868 | + | 16.7967i | −0.231223 | + | 0.840889i | ||||
\(400\) | −6.48635 | −0.324317 | ||||||||
\(401\) | 21.6097 | + | 12.4764i | 1.07914 | + | 0.623041i | 0.930664 | − | 0.365875i | \(-0.119230\pi\) |
0.148475 | + | 0.988916i | \(0.452564\pi\) | |||||||
\(402\) | −51.3832 | + | 29.6661i | −2.56276 | + | 1.47961i | ||||
\(403\) | −6.65569 | + | 24.8394i | −0.331544 | + | 1.23734i | ||||
\(404\) | 0.369082 | + | 1.37743i | 0.0183625 | + | 0.0685299i | ||||
\(405\) | − | 7.61370i | − | 0.378328i | ||||||
\(406\) | −3.16267 | − | 0.0206952i | −0.156961 | − | 0.00102709i | ||||
\(407\) | −11.1257 | − | 11.1257i | −0.551482 | − | 0.551482i | ||||
\(408\) | −10.2062 | − | 5.89257i | −0.505283 | − | 0.291725i | ||||
\(409\) | 10.8974 | + | 18.8748i | 0.538840 | + | 0.933298i | 0.998967 | + | 0.0454446i | \(0.0144704\pi\) |
−0.460127 | + | 0.887853i | \(0.652196\pi\) | |||||||
\(410\) | −11.7391 | − | 8.35127i | −0.579751 | − | 0.412440i | ||||
\(411\) | 25.9438 | − | 44.9359i | 1.27971 | − | 2.21653i | ||||
\(412\) | 5.26403i | 0.259340i | ||||||||
\(413\) | 0.935871 | − | 0.244214i | 0.0460512 | − | 0.0120170i | ||||
\(414\) | −49.1856 | −2.41734 | ||||||||
\(415\) | −9.11186 | − | 5.26073i | −0.447284 | − | 0.258239i | ||||
\(416\) | −8.67357 | − | 2.32408i | −0.425257 | − | 0.113947i | ||||
\(417\) | −8.18088 | + | 30.5315i | −0.400619 | + | 1.49513i | ||||
\(418\) | 5.92749 | + | 3.42224i | 0.289923 | + | 0.167387i | ||||
\(419\) | 23.4339i | 1.14482i | 0.819967 | + | 0.572410i | \(0.193991\pi\) | ||||
−0.819967 | + | 0.572410i | \(0.806009\pi\) | |||||||
\(420\) | −2.15135 | + | 3.67056i | −0.104975 | + | 0.179105i | ||||
\(421\) | −20.2830 | − | 20.2830i | −0.988532 | − | 0.988532i | 0.0114029 | − | 0.999935i | \(-0.496370\pi\) |
−0.999935 | + | 0.0114029i | \(0.996370\pi\) | |||||||
\(422\) | −6.93647 | + | 1.85862i | −0.337662 | + | 0.0904763i | ||||
\(423\) | 15.6263 | − | 58.3181i | 0.759776 | − | 2.83552i | ||||
\(424\) | 26.7542 | + | 7.16876i | 1.29930 | + | 0.348146i | ||||
\(425\) | −0.694021 | − | 2.59012i | −0.0336650 | − | 0.125639i | ||||
\(426\) | −12.3948 | −0.600530 | ||||||||
\(427\) | 2.44592 | − | 2.41412i | 0.118366 | − | 0.116827i | ||||
\(428\) | 3.54932 | 0.171563 | ||||||||
\(429\) | −8.82601 | − | 32.9391i | −0.426124 | − | 1.59032i | ||||
\(430\) | 23.3045 | − | 13.4549i | 1.12384 | − | 0.648851i | ||||
\(431\) | 1.81385 | − | 1.04723i | 0.0873700 | − | 0.0504431i | −0.455678 | − | 0.890144i | \(-0.650603\pi\) |
0.543048 | + | 0.839701i | \(0.317270\pi\) | |||||||
\(432\) | 6.02342 | + | 22.4797i | 0.289802 | + | 1.08155i | ||||
\(433\) | 3.10679 | 0.149303 | 0.0746515 | − | 0.997210i | \(-0.476216\pi\) | ||||
0.0746515 | + | 0.997210i | \(0.476216\pi\) | |||||||
\(434\) | −16.9072 | − | 4.64907i | −0.811573 | − | 0.223162i | ||||
\(435\) | −4.65143 | −0.223019 | ||||||||
\(436\) | −0.980205 | − | 3.65818i | −0.0469433 | − | 0.175195i | ||||
\(437\) | 15.2115 | + | 4.07590i | 0.727663 | + | 0.194977i | ||||
\(438\) | −4.80969 | + | 17.9500i | −0.229816 | + | 0.857685i | ||||
\(439\) | −34.4225 | + | 9.22348i | −1.64290 | + | 0.440213i | −0.957611 | − | 0.288063i | \(-0.906989\pi\) |
−0.685284 | + | 0.728276i | \(0.740322\pi\) | |||||||
\(440\) | 8.59929 | + | 8.59929i | 0.409955 | + | 0.409955i | ||||
\(441\) | 18.6563 | + | 33.3129i | 0.888394 | + | 1.58633i | ||||
\(442\) | 8.79443i | 0.418308i | ||||||||
\(443\) | −1.80535 | − | 1.04232i | −0.0857746 | − | 0.0495220i | 0.456499 | − | 0.889724i | \(-0.349103\pi\) |
−0.542274 | + | 0.840202i | \(0.682436\pi\) | |||||||
\(444\) | −1.61896 | + | 6.04205i | −0.0768325 | + | 0.286743i | ||||
\(445\) | −4.89902 | − | 1.31269i | −0.232236 | − | 0.0622274i | ||||
\(446\) | 4.49318 | + | 2.59414i | 0.212758 | + | 0.122836i | ||||
\(447\) | 12.5438 | 0.593300 | ||||||||
\(448\) | 6.19839 | − | 22.5417i | 0.292846 | − | 1.06499i | ||||
\(449\) | 5.83364i | 0.275306i | 0.990480 | + | 0.137653i | \(0.0439559\pi\) | ||||
−0.990480 | + | 0.137653i | \(0.956044\pi\) | |||||||
\(450\) | −7.03389 | + | 12.1830i | −0.331581 | + | 0.574314i | ||||
\(451\) | −2.48196 | − | 14.7185i | −0.116871 | − | 0.693067i | ||||
\(452\) | 0.244889 | + | 0.424160i | 0.0115186 | + | 0.0199508i | ||||
\(453\) | 19.9424 | + | 11.5137i | 0.936975 | + | 0.540963i | ||||
\(454\) | 5.43451 | + | 5.43451i | 0.255054 | + | 0.255054i | ||||
\(455\) | 23.0969 | + | 0.151137i | 1.08280 | + | 0.00708540i | ||||
\(456\) | − | 19.7958i | − | 0.927021i | ||||||
\(457\) | −1.19605 | − | 4.46373i | −0.0559489 | − | 0.208804i | 0.932293 | − | 0.361705i | \(-0.117805\pi\) |
−0.988242 | + | 0.152901i | \(0.951139\pi\) | |||||||
\(458\) | −7.32711 | + | 27.3451i | −0.342373 | + | 1.27775i | ||||
\(459\) | −8.33208 | + | 4.81053i | −0.388908 | + | 0.224536i | ||||
\(460\) | 3.33089 | + | 1.92309i | 0.155304 | + | 0.0896645i | ||||
\(461\) | −25.7304 | −1.19838 | −0.599192 | − | 0.800605i | \(-0.704511\pi\) | ||||
−0.599192 | + | 0.800605i | \(0.704511\pi\) | |||||||
\(462\) | 22.4992 | − | 5.87112i | 1.04676 | − | 0.273149i | ||||
\(463\) | −3.19464 | − | 3.19464i | −0.148468 | − | 0.148468i | 0.628965 | − | 0.777433i | \(-0.283479\pi\) |
−0.777433 | + | 0.628965i | \(0.783479\pi\) | |||||||
\(464\) | 2.90392 | − | 0.778103i | 0.134811 | − | 0.0361225i | ||||
\(465\) | −24.9097 | − | 6.67452i | −1.15516 | − | 0.309524i | ||||
\(466\) | 27.8266 | + | 7.45610i | 1.28904 | + | 0.345397i | ||||
\(467\) | 3.24397 | − | 5.61871i | 0.150113 | − | 0.260003i | −0.781156 | − | 0.624336i | \(-0.785370\pi\) |
0.931269 | + | 0.364333i | \(0.118703\pi\) | |||||||
\(468\) | −6.18467 | + | 6.18467i | −0.285886 | + | 0.285886i | ||||
\(469\) | 21.0539 | − | 35.9215i | 0.972178 | − | 1.65870i | ||||
\(470\) | 17.6101 | − | 17.6101i | 0.812292 | − | 0.812292i | ||||
\(471\) | −31.9042 | − | 18.4199i | −1.47007 | − | 0.848745i | ||||
\(472\) | −0.951855 | + | 0.549554i | −0.0438127 | + | 0.0252953i | ||||
\(473\) | 26.9305 | + | 7.21601i | 1.23827 | + | 0.331792i | ||||
\(474\) | 0.198968 | − | 0.344622i | 0.00913888 | − | 0.0158290i | ||||
\(475\) | 3.18492 | − | 3.18492i | 0.146134 | − | 0.146134i | ||||
\(476\) | 1.13678 | + | 0.00743862i | 0.0521042 | + | 0.000340949i | ||||
\(477\) | 35.5317 | − | 35.5317i | 1.62689 | − | 1.62689i | ||||
\(478\) | −7.00710 | − | 26.1508i | −0.320497 | − | 1.19611i | ||||
\(479\) | 7.70857 | − | 28.7688i | 0.352213 | − | 1.31448i | −0.531742 | − | 0.846906i | \(-0.678462\pi\) |
0.883955 | − | 0.467572i | \(-0.154871\pi\) | |||||||
\(480\) | 2.33065 | − | 8.69811i | 0.106379 | − | 0.397013i | ||||
\(481\) | 32.8014 | − | 8.78911i | 1.49562 | − | 0.400749i | ||||
\(482\) | −35.3973 | −1.61230 | ||||||||
\(483\) | 46.5069 | − | 26.4466i | 2.11614 | − | 1.20336i | ||||
\(484\) | − | 1.77401i | − | 0.0806369i | ||||||
\(485\) | 1.04738 | − | 0.280644i | 0.0475589 | − | 0.0127434i | ||||
\(486\) | −10.8363 | − | 2.90358i | −0.491544 | − | 0.131709i | ||||
\(487\) | 31.4171 | − | 18.1386i | 1.42364 | − | 0.821941i | 0.427035 | − | 0.904235i | \(-0.359558\pi\) |
0.996608 | + | 0.0822946i | \(0.0262248\pi\) | |||||||
\(488\) | −1.95265 | + | 3.38208i | −0.0883921 | + | 0.153100i | ||||
\(489\) | 10.2715 | + | 10.2715i | 0.464494 | + | 0.464494i | ||||
\(490\) | −0.206108 | + | 15.7482i | −0.00931100 | + | 0.711429i | ||||
\(491\) | −24.4115 | −1.10167 | −0.550837 | − | 0.834613i | \(-0.685691\pi\) | ||||
−0.550837 | + | 0.834613i | \(0.685691\pi\) | |||||||
\(492\) | −4.57411 | + | 3.78022i | −0.206217 | + | 0.170426i | ||||
\(493\) | 0.621423 | + | 1.07634i | 0.0279875 | + | 0.0484757i | ||||
\(494\) | −12.7931 | + | 7.38610i | −0.575589 | + | 0.332316i | ||||
\(495\) | 21.3111 | − | 5.71028i | 0.957861 | − | 0.256658i | ||||
\(496\) | 16.6678 | 0.748407 | ||||||||
\(497\) | 7.56110 | − | 4.29968i | 0.339161 | − | 0.192867i | ||||
\(498\) | 16.1650 | − | 16.1650i | 0.724369 | − | 0.724369i | ||||
\(499\) | −30.8207 | + | 8.25839i | −1.37973 | + | 0.369696i | −0.871021 | − | 0.491245i | \(-0.836542\pi\) |
−0.508704 | + | 0.860941i | \(0.669875\pi\) | |||||||
\(500\) | 3.34745 | − | 1.93265i | 0.149702 | − | 0.0864308i | ||||
\(501\) | −11.4802 | + | 6.62808i | −0.512896 | + | 0.296121i | ||||
\(502\) | 3.08569 | − | 5.34457i | 0.137721 | − | 0.238540i | ||||
\(503\) | 10.8501 | + | 10.8501i | 0.483782 | + | 0.483782i | 0.906337 | − | 0.422555i | \(-0.138867\pi\) |
−0.422555 | + | 0.906337i | \(0.638867\pi\) | |||||||
\(504\) | −30.4785 | − | 30.8801i | −1.35762 | − | 1.37551i | ||||
\(505\) | 5.48968 | + | 5.48968i | 0.244288 | + | 0.244288i | ||||
\(506\) | −5.44055 | − | 20.3044i | −0.241862 | − | 0.902640i | ||||
\(507\) | 34.5799 | + | 9.26565i | 1.53575 | + | 0.411502i | ||||
\(508\) | −2.32823 | − | 4.03262i | −0.103299 | − | 0.178918i | ||||
\(509\) | 7.62385 | + | 28.4526i | 0.337921 | + | 1.26114i | 0.900667 | + | 0.434509i | \(0.143078\pi\) |
−0.562746 | + | 0.826630i | \(0.690255\pi\) | |||||||
\(510\) | −8.81931 | −0.390526 | ||||||||
\(511\) | −3.29274 | − | 12.6184i | −0.145662 | − | 0.558203i | ||||
\(512\) | 25.4287i | 1.12380i | ||||||||
\(513\) | −13.9956 | − | 8.08036i | −0.617920 | − | 0.356756i | ||||
\(514\) | 3.72186 | + | 0.997270i | 0.164164 | + | 0.0439877i | ||||
\(515\) | 14.3293 | + | 24.8190i | 0.631423 | + | 1.09366i | ||||
\(516\) | −2.86876 | − | 10.7063i | −0.126290 | − | 0.471321i | ||||
\(517\) | 25.8029 | 1.13481 | ||||||||
\(518\) | 5.84657 | + | 22.4051i | 0.256884 | + | 0.984425i | ||||
\(519\) | −0.578576 | + | 0.578576i | −0.0253967 | + | 0.0253967i | ||||
\(520\) | −25.3528 | + | 6.79327i | −1.11180 | + | 0.297905i | ||||
\(521\) | 9.71074 | − | 36.2410i | 0.425435 | − | 1.58775i | −0.337536 | − | 0.941313i | \(-0.609593\pi\) |
0.762971 | − | 0.646433i | \(-0.223740\pi\) | |||||||
\(522\) | 1.68757 | − | 6.29811i | 0.0738630 | − | 0.275661i | ||||
\(523\) | 5.12856 | − | 8.88292i | 0.224256 | − | 0.388423i | −0.731840 | − | 0.681477i | \(-0.761338\pi\) |
0.956096 | + | 0.293054i | \(0.0946714\pi\) | |||||||
\(524\) | 0.866574i | 0.0378565i | ||||||||
\(525\) | 0.100127 | − | 15.3016i | 0.00436991 | − | 0.667816i | ||||
\(526\) | 12.8285 | + | 12.8285i | 0.559349 | + | 0.559349i | ||||
\(527\) | 1.78341 | + | 6.65577i | 0.0776865 | + | 0.289930i | ||||
\(528\) | −19.1417 | + | 11.0515i | −0.833036 | + | 0.480953i | ||||
\(529\) | −12.6826 | − | 21.9669i | −0.551418 | − | 0.955083i | ||||
\(530\) | 20.0213 | − | 5.36468i | 0.869669 | − | 0.233027i | ||||
\(531\) | 1.99399i | 0.0865319i | ||||||||
\(532\) | 0.943917 | + | 1.65990i | 0.0409240 | + | 0.0719659i | ||||
\(533\) | 30.1889 | + | 11.2442i | 1.30763 | + | 0.487039i | ||||
\(534\) | 5.50996 | − | 9.54354i | 0.238439 | − | 0.412989i | ||||
\(535\) | 16.7344 | − | 9.66163i | 0.723493 | − | 0.417709i | ||||
\(536\) | −12.2460 | + | 45.7025i | −0.528945 | + | 1.97405i | ||||
\(537\) | −31.8265 | + | 55.1251i | −1.37341 | + | 2.37882i | ||||
\(538\) | 10.8477i | 0.467677i | ||||||||
\(539\) | −11.6883 | + | 11.3864i | −0.503453 | + | 0.490445i | ||||
\(540\) | −2.79092 | − | 2.79092i | −0.120102 | − | 0.120102i | ||||
\(541\) | 2.14432 | + | 1.23802i | 0.0921914 | + | 0.0532267i | 0.545387 | − | 0.838184i | \(-0.316383\pi\) |
−0.453196 | + | 0.891411i | \(0.649716\pi\) | |||||||
\(542\) | −24.7224 | + | 14.2735i | −1.06192 | + | 0.613100i | ||||
\(543\) | −4.07692 | − | 7.06143i | −0.174957 | − | 0.303035i | ||||
\(544\) | −2.32410 | + | 0.622742i | −0.0996451 | + | 0.0266998i | ||||
\(545\) | −14.5795 | − | 14.5795i | −0.624515 | − | 0.624515i | ||||
\(546\) | −13.3058 | + | 48.3893i | −0.569437 | + | 2.07087i | ||||
\(547\) | −9.26238 | + | 9.26238i | −0.396031 | + | 0.396031i | −0.876830 | − | 0.480800i | \(-0.840346\pi\) |
0.480800 | + | 0.876830i | \(0.340346\pi\) | |||||||
\(548\) | −1.47208 | − | 5.49386i | −0.0628839 | − | 0.234686i | ||||
\(549\) | 3.54248 | + | 6.13575i | 0.151189 | + | 0.261867i | ||||
\(550\) | −5.80734 | − | 1.55607i | −0.247626 | − | 0.0663511i | ||||
\(551\) | −1.04382 | + | 1.80795i | −0.0444682 | + | 0.0770211i | ||||
\(552\) | −42.9896 | + | 42.9896i | −1.82976 | + | 1.82976i | ||||
\(553\) | −0.00182728 | + | 0.279247i | −7.77039e−5 | + | 0.0118748i | ||||
\(554\) | 5.02727i | 0.213588i | ||||||||
\(555\) | 8.81398 | + | 32.8942i | 0.374132 | + | 1.39628i | ||||
\(556\) | 1.73239 | + | 3.00058i | 0.0734695 | + | 0.127253i | ||||
\(557\) | 34.7097 | + | 9.30045i | 1.47070 | + | 0.394073i | 0.903171 | − | 0.429281i | \(-0.141233\pi\) |
0.567528 | + | 0.823354i | \(0.307900\pi\) | |||||||
\(558\) | 18.0748 | − | 31.3065i | 0.765167 | − | 1.32531i | ||||
\(559\) | −42.5492 | + | 42.5492i | −1.79964 | + | 1.79964i | ||||
\(560\) | −3.78002 | − | 14.4857i | −0.159735 | − | 0.612133i | ||||
\(561\) | −6.46117 | − | 6.46117i | −0.272791 | − | 0.272791i | ||||
\(562\) | 9.57009 | − | 2.56430i | 0.403690 | − | 0.108168i | ||||
\(563\) | −5.30917 | + | 19.8141i | −0.223755 | + | 0.835065i | 0.759144 | + | 0.650922i | \(0.225618\pi\) |
−0.982899 | + | 0.184143i | \(0.941049\pi\) | |||||||
\(564\) | −5.12902 | − | 8.88372i | −0.215971 | − | 0.374072i | ||||
\(565\) | 2.30922 | + | 1.33323i | 0.0971495 | + | 0.0560893i | ||||
\(566\) | 8.53094i | 0.358582i | ||||||||
\(567\) | −11.2329 | + | 2.93120i | −0.471736 | + | 0.123099i | ||||
\(568\) | −6.98924 | + | 6.98924i | −0.293262 | + | 0.293262i | ||||
\(569\) | −7.92536 | − | 4.57571i | −0.332248 | − | 0.191824i | 0.324591 | − | 0.945855i | \(-0.394774\pi\) |
−0.656839 | + | 0.754031i | \(0.728107\pi\) | |||||||
\(570\) | −7.40700 | − | 12.8293i | −0.310245 | − | 0.537360i | ||||
\(571\) | −7.50156 | + | 27.9962i | −0.313931 | + | 1.17160i | 0.611050 | + | 0.791592i | \(0.290747\pi\) |
−0.924981 | + | 0.380013i | \(0.875919\pi\) | |||||||
\(572\) | −3.23720 | − | 1.86900i | −0.135354 | − | 0.0781468i | ||||
\(573\) | −23.4375 | −0.979115 | ||||||||
\(574\) | −7.80162 | + | 20.5344i | −0.325633 | + | 0.857089i | ||||
\(575\) | −13.8331 | −0.576881 | ||||||||
\(576\) | 41.7395 | + | 24.0983i | 1.73915 | + | 1.00410i | ||||
\(577\) | 6.68254 | − | 24.9396i | 0.278198 | − | 1.03825i | −0.675470 | − | 0.737387i | \(-0.736059\pi\) |
0.953668 | − | 0.300861i | \(-0.0972740\pi\) | |||||||
\(578\) | −9.84320 | − | 17.0489i | −0.409423 | − | 0.709142i | ||||
\(579\) | −14.1559 | − | 8.17291i | −0.588299 | − | 0.339654i | ||||
\(580\) | −0.360531 | + | 0.360531i | −0.0149702 | + | 0.0149702i | ||||
\(581\) | −4.25345 | + | 15.4685i | −0.176463 | + | 0.641742i | ||||
\(582\) | 2.35598i | 0.0976587i | ||||||||
\(583\) | 18.5982 | + | 10.7377i | 0.770257 | + | 0.444708i | ||||
\(584\) | 7.40964 | + | 12.8339i | 0.306613 | + | 0.531069i | ||||
\(585\) | −12.3243 | + | 45.9950i | −0.509548 | + | 1.90166i | ||||
\(586\) | −2.57994 | + | 0.691292i | −0.106576 | + | 0.0285570i | ||||
\(587\) | −29.5099 | − | 29.5099i | −1.21800 | − | 1.21800i | −0.968330 | − | 0.249673i | \(-0.919677\pi\) |
−0.249673 | − | 0.968330i | \(-0.580323\pi\) | |||||||
\(588\) | 6.24361 | + | 1.76086i | 0.257482 | + | 0.0726167i | ||||
\(589\) | −8.18422 | + | 8.18422i | −0.337225 | + | 0.337225i | ||||
\(590\) | −0.411254 | + | 0.712313i | −0.0169311 | + | 0.0293255i | ||||
\(591\) | −78.2292 | − | 20.9615i | −3.21792 | − | 0.862239i | ||||
\(592\) | −11.0053 | − | 19.0617i | −0.452313 | − | 0.783429i | ||||
\(593\) | −6.90024 | − | 25.7520i | −0.283359 | − | 1.05751i | −0.950030 | − | 0.312158i | \(-0.898948\pi\) |
0.666671 | − | 0.745352i | \(-0.267718\pi\) | |||||||
\(594\) | 21.5715i | 0.885088i | ||||||||
\(595\) | 5.37997 | − | 3.05937i | 0.220557 | − | 0.125422i | ||||
\(596\) | 0.972264 | − | 0.972264i | 0.0398255 | − | 0.0398255i | ||||
\(597\) | 30.5624 | − | 52.9356i | 1.25084 | − | 2.16651i | ||||
\(598\) | 43.8223 | + | 11.7421i | 1.79203 | + | 0.480172i | ||||
\(599\) | 23.7851 | + | 41.1970i | 0.971832 | + | 1.68326i | 0.690017 | + | 0.723793i | \(0.257603\pi\) |
0.281815 | + | 0.959469i | \(0.409064\pi\) | |||||||
\(600\) | 4.50051 | + | 16.7961i | 0.183732 | + | 0.685699i | ||||
\(601\) | 9.72081 | − | 9.72081i | 0.396520 | − | 0.396520i | −0.480484 | − | 0.877004i | \(-0.659539\pi\) |
0.877004 | + | 0.480484i | \(0.159539\pi\) | |||||||
\(602\) | −28.8226 | − | 29.2023i | −1.17472 | − | 1.19020i | ||||
\(603\) | 60.6967 | + | 60.6967i | 2.47176 | + | 2.47176i | ||||
\(604\) | 2.43815 | − | 0.653301i | 0.0992070 | − | 0.0265824i | ||||
\(605\) | −4.82905 | − | 8.36416i | −0.196329 | − | 0.340051i | ||||
\(606\) | −14.6085 | + | 8.43423i | −0.593431 | + | 0.342617i | ||||
\(607\) | 17.3466 | + | 10.0151i | 0.704078 | + | 0.406500i | 0.808864 | − | 0.587995i | \(-0.200083\pi\) |
−0.104787 | + | 0.994495i | \(0.533416\pi\) | |||||||
\(608\) | −2.85782 | − | 2.85782i | −0.115900 | − | 0.115900i | ||||
\(609\) | 1.79075 | + | 6.86249i | 0.0725650 | + | 0.278082i | ||||
\(610\) | 2.92249i | 0.118328i | ||||||||
\(611\) | −27.8447 | + | 48.2285i | −1.12648 | + | 1.95111i | ||||
\(612\) | −0.606576 | + | 2.26377i | −0.0245194 | + | 0.0915075i | ||||
\(613\) | 15.3595 | − | 8.86778i | 0.620362 | − | 0.358166i | −0.156648 | − | 0.987655i | \(-0.550069\pi\) |
0.777010 | + | 0.629488i | \(0.216735\pi\) | |||||||
\(614\) | 12.8596 | − | 22.2734i | 0.518970 | − | 0.898882i | ||||
\(615\) | −11.2760 | + | 30.2743i | −0.454691 | + | 1.22078i | ||||
\(616\) | 9.37633 | − | 15.9976i | 0.377783 | − | 0.644562i | ||||
\(617\) | − | 35.8613i | − | 1.44372i | −0.692038 | − | 0.721861i | \(-0.743287\pi\) | ||
0.692038 | − | 0.721861i | \(-0.256713\pi\) | |||||||
\(618\) | −60.1466 | + | 16.1162i | −2.41945 | + | 0.648290i | ||||
\(619\) | 20.8682 | + | 36.1448i | 0.838764 | + | 1.45278i | 0.890928 | + | 0.454144i | \(0.150055\pi\) |
−0.0521642 | + | 0.998639i | \(0.516612\pi\) | |||||||
\(620\) | −2.44808 | + | 1.41340i | −0.0983172 | + | 0.0567635i | ||||
\(621\) | 12.8458 | + | 47.9414i | 0.515486 | + | 1.92382i | ||||
\(622\) | −21.2027 | − | 21.2027i | −0.850151 | − | 0.850151i | ||||
\(623\) | −0.0506025 | + | 7.73314i | −0.00202735 | + | 0.309822i | ||||
\(624\) | − | 47.7040i | − | 1.90969i | ||||||
\(625\) | 5.54905 | − | 9.61124i | 0.221962 | − | 0.384450i | ||||
\(626\) | −8.88292 | + | 33.1515i | −0.355033 | + | 1.32500i | ||||
\(627\) | 3.97246 | − | 14.8254i | 0.158645 | − | 0.592071i | ||||
\(628\) | −3.90061 | + | 1.04516i | −0.155651 | + | 0.0417066i | ||||
\(629\) | 6.43415 | − | 6.43415i | 0.256546 | − | 0.256546i | ||||
\(630\) | −31.3071 | − | 8.60866i | −1.24730 | − | 0.342977i | ||||
\(631\) | 33.4051 | 1.32984 | 0.664918 | − | 0.746916i | \(-0.268466\pi\) | ||||
0.664918 | + | 0.746916i | \(0.268466\pi\) | |||||||
\(632\) | −0.0821324 | − | 0.306522i | −0.00326705 | − | 0.0121928i | ||||
\(633\) | 8.05171 | + | 13.9460i | 0.320027 | + | 0.554303i | ||||
\(634\) | 16.3876 | + | 4.39103i | 0.650833 | + | 0.174390i | ||||
\(635\) | −21.9544 | − | 12.6754i | −0.871235 | − | 0.503008i | ||||
\(636\) | − | 8.53761i | − | 0.338538i | ||||||
\(637\) | −8.66910 | − | 34.1342i | −0.343482 | − | 1.35245i | ||||
\(638\) | 2.78660 | 0.110322 | ||||||||
\(639\) | 4.64114 | + | 17.3210i | 0.183601 | + | 0.685208i | ||||
\(640\) | 6.84341 | + | 11.8531i | 0.270509 | + | 0.468536i | ||||
\(641\) | −16.9079 | − | 4.53047i | −0.667824 | − | 0.178943i | −0.0910494 | − | 0.995846i | \(-0.529022\pi\) |
−0.576774 | + | 0.816904i | \(0.695689\pi\) | |||||||
\(642\) | 10.8665 | + | 40.5544i | 0.428867 | + | 1.60055i | ||||
\(643\) | 4.80939 | + | 4.80939i | 0.189664 | + | 0.189664i | 0.795551 | − | 0.605887i | \(-0.207182\pi\) |
−0.605887 | + | 0.795551i | \(0.707182\pi\) | |||||||
\(644\) | 1.55487 | − | 5.65460i | 0.0612706 | − | 0.222822i | ||||
\(645\) | −42.6695 | − | 42.6695i | −1.68011 | − | 1.68011i | ||||
\(646\) | −1.97912 | + | 3.42794i | −0.0778676 | + | 0.134871i | ||||
\(647\) | 7.55243 | − | 4.36039i | 0.296916 | − | 0.171425i | −0.344140 | − | 0.938918i | \(-0.611830\pi\) |
0.641057 | + | 0.767493i | \(0.278496\pi\) | |||||||
\(648\) | 11.4247 | − | 6.59607i | 0.448805 | − | 0.259118i | ||||
\(649\) | −0.823143 | + | 0.220561i | −0.0323112 | + | 0.00865776i | ||||
\(650\) | 9.17536 | − | 9.17536i | 0.359887 | − | 0.359887i | ||||
\(651\) | −0.257295 | + | 39.3201i | −0.0100842 | + | 1.54108i | ||||
\(652\) | 1.59228 | 0.0623587 | ||||||||
\(653\) | 24.4080 | − | 6.54011i | 0.955160 | − | 0.255934i | 0.252609 | − | 0.967568i | \(-0.418711\pi\) |
0.702550 | + | 0.711634i | \(0.252045\pi\) | |||||||
\(654\) | 38.7972 | − | 22.3996i | 1.51709 | − | 0.875892i | ||||
\(655\) | 2.35891 | + | 4.08575i | 0.0921702 | + | 0.159643i | ||||
\(656\) | 1.97531 | − | 20.7867i | 0.0771227 | − | 0.811586i | ||||
\(657\) | 26.8850 | 1.04889 | ||||||||
\(658\) | −32.7607 | − | 19.2013i | −1.27715 | − | 0.748546i | ||||
\(659\) | −6.02808 | − | 6.02808i | −0.234821 | − | 0.234821i | 0.579881 | − | 0.814701i | \(-0.303099\pi\) |
−0.814701 | + | 0.579881i | \(0.803099\pi\) | |||||||
\(660\) | 1.87429 | − | 3.24636i | 0.0729565 | − | 0.126364i | ||||
\(661\) | 14.9735 | − | 8.64495i | 0.582402 | − | 0.336250i | −0.179686 | − | 0.983724i | \(-0.557508\pi\) |
0.762087 | + | 0.647474i | \(0.224175\pi\) | |||||||
\(662\) | 19.8675 | + | 5.32348i | 0.772172 | + | 0.206903i | ||||
\(663\) | 19.0491 | − | 5.10420i | 0.739806 | − | 0.198231i | ||||
\(664\) | − | 18.2304i | − | 0.707476i | ||||||
\(665\) | 8.96884 | + | 5.25671i | 0.347797 | + | 0.203846i | ||||
\(666\) | −47.7370 | −1.84977 | ||||||||
\(667\) | 6.19305 | − | 1.65942i | 0.239796 | − | 0.0642531i | ||||
\(668\) | −0.376084 | + | 1.40356i | −0.0145511 | + | 0.0543055i | ||||
\(669\) | 3.01123 | − | 11.2380i | 0.116421 | − | 0.434488i | ||||
\(670\) | 9.16416 | + | 34.2011i | 0.354042 | + | 1.32130i | ||||
\(671\) | −2.14107 | + | 2.14107i | −0.0826549 | + | 0.0826549i | ||||
\(672\) | −13.7300 | − | 0.0898437i | −0.529648 | − | 0.00346580i | ||||
\(673\) | 14.5515 | − | 14.5515i | 0.560921 | − | 0.560921i | −0.368648 | − | 0.929569i | \(-0.620179\pi\) |
0.929569 | + | 0.368648i | \(0.120179\pi\) | |||||||
\(674\) | −3.56088 | + | 6.16762i | −0.137160 | + | 0.237568i | ||||
\(675\) | 13.7119 | + | 3.67409i | 0.527771 | + | 0.141416i | ||||
\(676\) | 3.39845 | − | 1.96210i | 0.130710 | − | 0.0754653i | ||||
\(677\) | 12.4288 | + | 7.17578i | 0.477678 | + | 0.275788i | 0.719449 | − | 0.694546i | \(-0.244395\pi\) |
−0.241770 | + | 0.970334i | \(0.577728\pi\) | |||||||
\(678\) | −4.09669 | + | 4.09669i | −0.157332 | + | 0.157332i | ||||
\(679\) | −0.817277 | − | 1.43720i | −0.0313642 | − | 0.0551547i | ||||
\(680\) | −4.97308 | + | 4.97308i | −0.190709 | + | 0.190709i | ||||
\(681\) | 8.61726 | − | 14.9255i | 0.330214 | − | 0.571948i | ||||
\(682\) | 14.9230 | + | 3.99860i | 0.571430 | + | 0.153114i | ||||
\(683\) | 39.1901 | + | 10.5010i | 1.49957 | + | 0.401808i | 0.912956 | − | 0.408059i | \(-0.133794\pi\) |
0.586613 | + | 0.809867i | \(0.300461\pi\) | |||||||
\(684\) | −3.80251 | + | 1.01888i | −0.145393 | + | 0.0389578i | ||||
\(685\) | −21.8955 | − | 21.8955i | −0.836583 | − | 0.836583i | ||||
\(686\) | 23.3134 | − | 5.75880i | 0.890109 | − | 0.219872i | ||||
\(687\) | 63.4834 | 2.42204 | ||||||||
\(688\) | 33.7768 | + | 19.5010i | 1.28773 | + | 0.743469i | ||||
\(689\) | −40.1398 | + | 23.1747i | −1.52920 | + | 0.882886i | ||||
\(690\) | −11.7754 | + | 43.9463i | −0.448281 | + | 1.67301i | ||||
\(691\) | −12.4668 | − | 46.5267i | −0.474259 | − | 1.76996i | −0.624201 | − | 0.781263i | \(-0.714576\pi\) |
0.149943 | − | 0.988695i | \(-0.452091\pi\) | |||||||
\(692\) | 0.0896904i | 0.00340952i | ||||||||
\(693\) | −16.6292 | − | 29.2429i | −0.631692 | − | 1.11085i | ||||
\(694\) | −32.7866 | − | 32.7866i | −1.24456 | − | 1.24456i | ||||
\(695\) | 16.3358 | + | 9.43148i | 0.619652 | + | 0.357757i | ||||
\(696\) | −4.02973 | − | 6.97970i | −0.152747 | − | 0.264565i | ||||
\(697\) | 8.51189 | − | 1.43535i | 0.322411 | − | 0.0543676i | ||||
\(698\) | 0.426843 | − | 0.739313i | 0.0161562 | − | 0.0279834i | ||||
\(699\) | − | 64.6010i | − | 2.44343i | ||||||
\(700\) | −1.17826 | − | 1.19378i | −0.0445340 | − | 0.0451207i | ||||
\(701\) | −5.13213 | −0.193838 | −0.0969190 | − | 0.995292i | \(-0.530899\pi\) | ||||
−0.0969190 | + | 0.995292i | \(0.530899\pi\) | |||||||
\(702\) | −40.3195 | − | 23.2785i | −1.52176 | − | 0.878590i | ||||
\(703\) | 14.7634 | + | 3.95585i | 0.556814 | + | 0.149198i | ||||
\(704\) | −5.33115 | + | 19.8961i | −0.200925 | + | 0.749863i | ||||
\(705\) | −48.3649 | − | 27.9235i | −1.82153 | − | 1.05166i | ||||
\(706\) | − | 33.6677i | − | 1.26710i | ||||||
\(707\) | 5.98573 | − | 10.2127i | 0.225117 | − | 0.384087i | ||||
\(708\) | 0.239560 | + | 0.239560i | 0.00900320 | + | 0.00900320i | ||||
\(709\) | −5.11166 | + | 1.36967i | −0.191973 | + | 0.0514389i | −0.353524 | − | 0.935425i | \(-0.615017\pi\) |
0.161552 | + | 0.986864i | \(0.448350\pi\) | |||||||
\(710\) | −1.91444 | + | 7.14479i | −0.0718476 | + | 0.268139i | ||||
\(711\) | −0.556090 | − | 0.149004i | −0.0208550 | − | 0.00558809i | ||||
\(712\) | −2.27447 | − | 8.48845i | −0.0852395 | − | 0.318118i | ||||
\(713\) | 35.5466 | 1.33123 | ||||||||
\(714\) | 3.39534 | + | 13.0116i | 0.127068 | + | 0.486946i | ||||
\(715\) | −20.3505 | −0.761065 | ||||||||
\(716\) | 1.80587 | + | 6.73959i | 0.0674884 | + | 0.251870i | ||||
\(717\) | −52.5770 | + | 30.3554i | −1.96353 | + | 1.13364i | ||||
\(718\) | −4.59831 | + | 2.65484i | −0.171607 | + | 0.0990776i | ||||
\(719\) | −0.698868 | − | 2.60821i | −0.0260634 | − | 0.0972698i | 0.951669 | − | 0.307126i | \(-0.0993672\pi\) |
−0.977732 | + | 0.209856i | \(0.932701\pi\) | |||||||
\(720\) | 30.8637 | 1.15022 | ||||||||
\(721\) | 31.1001 | − | 30.6957i | 1.15823 | − | 1.14317i | ||||
\(722\) | 17.9874 | 0.669422 | ||||||||
\(723\) | 20.5443 | + | 76.6722i | 0.764049 | + | 2.85147i | ||||
\(724\) | −0.863330 | − | 0.231328i | −0.0320854 | − | 0.00859726i | ||||
\(725\) | 0.474618 | − | 1.77130i | 0.0176269 | − | 0.0657844i | ||||
\(726\) | 20.2698 | − | 5.43127i | 0.752282 | − | 0.201573i | ||||
\(727\) | −0.305010 | − | 0.305010i | −0.0113122 | − | 0.0113122i | 0.701428 | − | 0.712740i | \(-0.252546\pi\) |
−0.712740 | + | 0.701428i | \(0.752546\pi\) | |||||||
\(728\) | 19.7830 | + | 34.7890i | 0.733208 | + | 1.28937i | ||||
\(729\) | 38.3205i | 1.41928i | ||||||||
\(730\) | 9.60413 | + | 5.54495i | 0.355465 | + | 0.205228i | ||||
\(731\) | −4.17311 | + | 15.5743i | −0.154348 | + | 0.576035i | ||||
\(732\) | 1.16275 | + | 0.311557i | 0.0429764 | + | 0.0115155i | ||||
\(733\) | −28.3091 | − | 16.3443i | −1.04562 | − | 0.603690i | −0.124201 | − | 0.992257i | \(-0.539637\pi\) |
−0.921420 | + | 0.388568i | \(0.872970\pi\) | |||||||
\(734\) | −45.9944 | −1.69768 | ||||||||
\(735\) | 34.2308 | − | 8.69363i | 1.26262 | − | 0.320669i | ||||
\(736\) | 12.4124i | 0.457527i | ||||||||
\(737\) | −18.3425 | + | 31.7701i | −0.675654 | + | 1.17027i | ||||
\(738\) | −36.9009 | − | 26.2516i | −1.35834 | − | 0.966334i | ||||
\(739\) | −10.2066 | − | 17.6784i | −0.375457 | − | 0.650310i | 0.614938 | − | 0.788575i | \(-0.289181\pi\) |
−0.990395 | + | 0.138265i | \(0.955848\pi\) | |||||||
\(740\) | 3.23279 | + | 1.86645i | 0.118840 | + | 0.0686121i | ||||
\(741\) | 23.4236 | + | 23.4236i | 0.860488 | + | 0.860488i | ||||
\(742\) | −15.6228 | − | 27.4730i | −0.573530 | − | 1.00857i | ||||
\(743\) | − | 2.34864i | − | 0.0861632i | −0.999072 | − | 0.0430816i | \(-0.986282\pi\) | ||
0.999072 | − | 0.0430816i | \(-0.0137176\pi\) | |||||||
\(744\) | −11.5648 | − | 43.1606i | −0.423988 | − | 1.58234i | ||||
\(745\) | 1.93745 | − | 7.23066i | 0.0709827 | − | 0.264911i | ||||
\(746\) | 16.0751 | − | 9.28095i | 0.588551 | − | 0.339800i | ||||
\(747\) | −28.6424 | − | 16.5367i | −1.04797 | − | 0.605047i | ||||
\(748\) | −1.00161 | −0.0366223 | ||||||||
\(749\) | −20.6969 | − | 20.9695i | −0.756247 | − | 0.766210i | ||||
\(750\) | 32.3309 | + | 32.3309i | 1.18056 | + | 1.18056i | ||||
\(751\) | −40.8938 | + | 10.9575i | −1.49224 | + | 0.399844i | −0.910492 | − | 0.413527i | \(-0.864297\pi\) |
−0.581745 | + | 0.813371i | \(0.697630\pi\) | |||||||
\(752\) | 34.8657 | + | 9.34223i | 1.27142 | + | 0.340676i | ||||
\(753\) | −13.3675 | − | 3.58181i | −0.487138 | − | 0.130528i | ||||
\(754\) | −3.00711 | + | 5.20847i | −0.109512 | + | 0.189681i | ||||
\(755\) | 9.71712 | − | 9.71712i | 0.353642 | − | 0.353642i | ||||
\(756\) | −3.04311 | + | 5.19207i | −0.110677 | + | 0.188834i | ||||
\(757\) | 3.67155 | − | 3.67155i | 0.133445 | − | 0.133445i | −0.637229 | − | 0.770674i | \(-0.719920\pi\) |
0.770674 | + | 0.637229i | \(0.219920\pi\) | |||||||
\(758\) | −8.83713 | − | 5.10212i | −0.320979 | − | 0.185317i | ||||
\(759\) | −40.8226 | + | 23.5689i | −1.48177 | + | 0.855498i | ||||
\(760\) | −11.4110 | − | 3.05756i | −0.413919 | − | 0.110909i | ||||
\(761\) | −1.54564 | + | 2.67713i | −0.0560295 | + | 0.0970460i | −0.892680 | − | 0.450692i | \(-0.851177\pi\) |
0.836650 | + | 0.547738i | \(0.184511\pi\) | |||||||
\(762\) | 38.9484 | − | 38.9484i | 1.41095 | − | 1.41095i | ||||
\(763\) | −15.8969 | + | 27.1227i | −0.575505 | + | 0.981909i | ||||
\(764\) | −1.81663 | + | 1.81663i | −0.0657234 | + | 0.0657234i | ||||
\(765\) | 3.30233 | + | 12.3245i | 0.119396 | + | 0.445592i | ||||
\(766\) | −2.30991 | + | 8.62069i | −0.0834603 | + | 0.311478i | ||||
\(767\) | 0.476029 | − | 1.77656i | 0.0171884 | − | 0.0641480i | ||||
\(768\) | 20.9093 | − | 5.60262i | 0.754498 | − | 0.202167i | ||||
\(769\) | −37.3814 | −1.34801 | −0.674003 | − | 0.738728i | \(-0.735427\pi\) | ||||
−0.674003 | + | 0.738728i | \(0.735427\pi\) | |||||||
\(770\) | 0.0907998 | − | 13.8761i | 0.00327220 | − | 0.500061i | ||||
\(771\) | − | 8.64052i | − | 0.311181i | ||||||
\(772\) | −1.73070 | + | 0.463739i | −0.0622891 | + | 0.0166903i | ||||
\(773\) | −26.5321 | − | 7.10926i | −0.954293 | − | 0.255702i | −0.252110 | − | 0.967699i | \(-0.581125\pi\) |
−0.702183 | + | 0.711996i | \(0.747791\pi\) | |||||||
\(774\) | 73.2560 | − | 42.2944i | 2.63313 | − | 1.52024i | ||||
\(775\) | 5.08341 | − | 8.80473i | 0.182602 | − | 0.316275i | ||||
\(776\) | 1.32851 | + | 1.32851i | 0.0476906 | + | 0.0476906i | ||||
\(777\) | 45.1372 | − | 25.6676i | 1.61929 | − | 0.920821i | ||||
\(778\) | −36.0430 | −1.29221 | ||||||||
\(779\) | 9.23679 | + | 11.1766i | 0.330942 | + | 0.400444i | ||||
\(780\) | 4.04521 | + | 7.00651i | 0.144842 | + | 0.250873i | ||||
\(781\) | −6.63693 | + | 3.83184i | −0.237488 | + | 0.137114i | ||||
\(782\) | 11.7423 | − | 3.14634i | 0.419903 | − | 0.112513i | ||||
\(783\) | −6.57952 | −0.235133 | ||||||||
\(784\) | −19.9162 | + | 11.1537i | −0.711294 | + | 0.398347i | ||||
\(785\) | −15.5456 | + | 15.5456i | −0.554848 | + | 0.554848i | ||||
\(786\) | −9.90144 | + | 2.65308i | −0.353173 | + | 0.0946324i | ||||
\(787\) | 29.9696 | − | 17.3029i | 1.06830 | − | 0.616783i | 0.140583 | − | 0.990069i | \(-0.455102\pi\) |
0.927716 | + | 0.373286i | \(0.121769\pi\) | |||||||
\(788\) | −7.68823 | + | 4.43880i | −0.273882 | + | 0.158126i | ||||
\(789\) | 20.3415 | − | 35.2326i | 0.724178 | − | 1.25431i | ||||
\(790\) | −0.167920 | − | 0.167920i | −0.00597434 | − | 0.00597434i | ||||
\(791\) | 1.07795 | − | 3.92018i | 0.0383276 | − | 0.139386i | ||||
\(792\) | 27.0312 | + | 27.0312i | 0.960513 | + | 0.960513i | ||||
\(793\) | −1.69140 | − | 6.31239i | −0.0600634 | − | 0.224160i | ||||
\(794\) | −15.0990 | − | 4.04577i | −0.535845 | − | 0.143579i | ||||
\(795\) | −23.2403 | − | 40.2533i | −0.824248 | − | 1.42764i | ||||
\(796\) | −1.73414 | − | 6.47190i | −0.0614650 | − | 0.229390i | ||||
\(797\) | −41.3243 | −1.46378 | −0.731892 | − | 0.681421i | \(-0.761362\pi\) | ||||
−0.731892 | + | 0.681421i | \(0.761362\pi\) | |||||||
\(798\) | −16.0761 | + | 15.8671i | −0.569088 | + | 0.561688i | ||||
\(799\) | 14.9221i | 0.527906i | ||||||||
\(800\) | 3.07449 | + | 1.77506i | 0.108700 | + | 0.0627578i | ||||
\(801\) | −15.3997 | − | 4.12633i | −0.544121 | − | 0.145797i | ||||
\(802\) | 16.1774 | + | 28.0201i | 0.571244 | + | 0.989423i | ||||
\(803\) | 2.97382 | + | 11.0985i | 0.104944 | + | 0.391656i | ||||
\(804\) | 14.5843 | 0.514348 | ||||||||
\(805\) | −8.06147 | − | 30.8930i | −0.284129 | − | 1.08884i | ||||
\(806\) | −23.5777 | + | 23.5777i | −0.830489 | + | 0.830489i | ||||
\(807\) | 23.4965 | − | 6.29588i | 0.827118 | − | 0.221625i | ||||
\(808\) | −3.48159 | + | 12.9935i | −0.122482 | + | 0.457109i | ||||
\(809\) | −6.21924 | + | 23.2105i | −0.218657 | + | 0.816038i | 0.766191 | + | 0.642613i | \(0.222150\pi\) |
−0.984847 | + | 0.173424i | \(0.944517\pi\) | |||||||
\(810\) | 4.93611 | − | 8.54960i | 0.173437 | − | 0.300402i | ||||
\(811\) | 11.9437i | 0.419401i | 0.977766 | + | 0.209700i | \(0.0672488\pi\) | ||||
−0.977766 | + | 0.209700i | \(0.932751\pi\) | |||||||
\(812\) | 0.670710 | + | 0.393109i | 0.0235373 | + | 0.0137954i | ||||
\(813\) | 45.2657 | + | 45.2657i | 1.58754 | + | 1.58754i | ||||
\(814\) | −5.28031 | − | 19.7064i | −0.185075 | − | 0.690708i | ||||
\(815\) | 7.50735 | − | 4.33437i | 0.262971 | − | 0.151826i | ||||
\(816\) | −6.39120 | − | 11.0699i | −0.223737 | − | 0.387524i | ||||
\(817\) | −26.1604 | + | 7.00967i | −0.915238 | + | 0.245237i | ||||
\(818\) | 28.2599i | 0.988084i | ||||||||
\(819\) | 72.6034 | + | 0.475087i | 2.53697 | + | 0.0166009i | ||||
\(820\) | 1.47256 | + | 3.22055i | 0.0514239 | + | 0.112466i | ||||
\(821\) | 14.1541 | − | 24.5157i | 0.493983 | − | 0.855603i | −0.505993 | − | 0.862537i | \(-0.668874\pi\) |
0.999976 | + | 0.00693445i | \(0.00220732\pi\) | |||||||
\(822\) | 58.2657 | − | 33.6397i | 2.03225 | − | 1.17332i | ||||
\(823\) | 8.35759 | − | 31.1910i | 0.291327 | − | 1.08725i | −0.652763 | − | 0.757562i | \(-0.726390\pi\) |
0.944091 | − | 0.329686i | \(-0.106943\pi\) | |||||||
\(824\) | −24.8281 | + | 43.0035i | −0.864927 | + | 1.49810i | ||||
\(825\) | 13.4821i | 0.469386i | ||||||||
\(826\) | 1.20924 | + | 0.332511i | 0.0420748 | + | 0.0115695i | ||||
\(827\) | 15.1277 | + | 15.1277i | 0.526040 | + | 0.526040i | 0.919389 | − | 0.393349i | \(-0.128684\pi\) |
−0.393349 | + | 0.919389i | \(0.628684\pi\) | |||||||
\(828\) | 10.4704 | + | 6.04509i | 0.363872 | + | 0.210081i | ||||
\(829\) | 2.80397 | − | 1.61887i | 0.0973858 | − | 0.0562257i | −0.450516 | − | 0.892768i | \(-0.648760\pi\) |
0.547902 | + | 0.836543i | \(0.315427\pi\) | |||||||
\(830\) | −6.82128 | − | 11.8148i | −0.236770 | − | 0.410098i | ||||
\(831\) | 10.8893 | − | 2.91778i | 0.377745 | − | 0.101217i | ||||
\(832\) | −31.4351 | − | 31.4351i | −1.08982 | − | 1.08982i | ||||
\(833\) | −6.58487 | − | 6.75952i | −0.228152 | − | 0.234203i | ||||
\(834\) | −28.9807 | + | 28.9807i | −1.00352 | + | 1.00352i | ||||
\(835\) | 2.04748 | + | 7.64131i | 0.0708561 | + | 0.264438i | ||||
\(836\) | −0.841210 | − | 1.45702i | −0.0290939 | − | 0.0503920i | ||||
\(837\) | −35.2351 | − | 9.44122i | −1.21790 | − | 0.326336i | ||||
\(838\) | −15.1927 | + | 26.3145i | −0.524822 | + | 0.909018i | ||||
\(839\) | 19.0538 | − | 19.0538i | 0.657810 | − | 0.657810i | −0.297051 | − | 0.954862i | \(-0.596003\pi\) |
0.954862 | + | 0.297051i | \(0.0960032\pi\) | |||||||
\(840\) | −34.8874 | + | 19.8390i | −1.20373 | + | 0.684511i | ||||
\(841\) | − | 28.1501i | − | 0.970692i | ||||||
\(842\) | −9.62637 | − | 35.9261i | −0.331747 | − | 1.23810i | ||||
\(843\) | −11.1088 | − | 19.2409i | −0.382606 | − | 0.662693i | ||||
\(844\) | 1.70503 | + | 0.456862i | 0.0586897 | + | 0.0157258i | ||||
\(845\) | 10.6821 | − | 18.5019i | 0.367475 | − | 0.636485i | ||||
\(846\) | 55.3560 | − | 55.3560i | 1.90318 | − | 1.90318i | ||||
\(847\) | −10.4809 | + | 10.3447i | −0.360129 | + | 0.355447i | ||||
\(848\) | 21.2428 | + | 21.2428i | 0.729479 | + | 0.729479i | ||||
\(849\) | 18.4784 | − | 4.95127i | 0.634176 | − | 0.169927i | ||||
\(850\) | 0.899896 | − | 3.35846i | 0.0308662 | − | 0.115194i | ||||
\(851\) | −23.4704 | − | 40.6519i | −0.804554 | − | 1.39353i | ||||
\(852\) | 2.63854 | + | 1.52336i | 0.0903950 | + | 0.0521896i | ||||
\(853\) | 36.9504i | 1.26516i | 0.774496 | + | 0.632578i | \(0.218003\pi\) | ||||
−0.774496 | + | 0.632578i | \(0.781997\pi\) | |||||||
\(854\) | 4.31170 | − | 1.12513i | 0.147543 | − | 0.0385012i | ||||
\(855\) | −15.1547 | + | 15.1547i | −0.518279 | + | 0.518279i | ||||
\(856\) | 28.9955 | + | 16.7406i | 0.991045 | + | 0.572180i | ||||
\(857\) | −14.8528 | − | 25.7258i | −0.507363 | − | 0.878778i | −0.999964 | − | 0.00852251i | \(-0.997287\pi\) |
0.492601 | − | 0.870255i | \(-0.336046\pi\) | |||||||
\(858\) | 11.4442 | − | 42.7102i | 0.390697 | − | 1.45810i | ||||
\(859\) | −2.52829 | − | 1.45971i | −0.0862643 | − | 0.0498047i | 0.456247 | − | 0.889853i | \(-0.349193\pi\) |
−0.542512 | + | 0.840048i | \(0.682527\pi\) | |||||||
\(860\) | −6.61460 | −0.225556 | ||||||||
\(861\) | 49.0064 | + | 4.98071i | 1.67013 | + | 0.169742i | ||||
\(862\) | 2.71575 | 0.0924988 | ||||||||
\(863\) | −29.2924 | − | 16.9120i | −0.997123 | − | 0.575690i | −0.0897276 | − | 0.995966i | \(-0.528600\pi\) |
−0.907396 | + | 0.420277i | \(0.861933\pi\) | |||||||
\(864\) | 3.29674 | − | 12.3036i | 0.112157 | − | 0.418577i | ||||
\(865\) | 0.244147 | + | 0.422875i | 0.00830124 | + | 0.0143782i | ||||
\(866\) | 3.48869 | + | 2.01420i | 0.118551 | + | 0.0684452i | ||||
\(867\) | −31.2158 | + | 31.2158i | −1.06015 | + | 1.06015i | ||||
\(868\) | 3.02774 | + | 3.06763i | 0.102768 | + | 0.104122i | ||||
\(869\) | − | 0.246042i | − | 0.00834641i | ||||||
\(870\) | −5.22320 | − | 3.01562i | −0.177083 | − | 0.102239i | ||||
\(871\) | −39.5879 | − | 68.5683i | −1.34139 | − | 2.32335i | ||||
\(872\) | 9.24638 | − | 34.5080i | 0.313122 | − | 1.16859i | ||||
\(873\) | 3.29235 | − | 0.882182i | 0.111429 | − | 0.0298573i | ||||
\(874\) | 14.4388 | + | 14.4388i | 0.488400 | + | 0.488400i | ||||
\(875\) | −30.9379 | − | 8.50715i | −1.04589 | − | 0.287594i | ||||
\(876\) | 3.22998 | − | 3.22998i | 0.109131 | − | 0.109131i | ||||
\(877\) | −1.40238 | + | 2.42900i | −0.0473551 | + | 0.0820214i | −0.888731 | − | 0.458428i | \(-0.848413\pi\) |
0.841376 | + | 0.540450i | \(0.181746\pi\) | |||||||
\(878\) | −44.6336 | − | 11.9595i | −1.50631 | − | 0.403615i | ||||
\(879\) | 2.99474 | + | 5.18704i | 0.101010 | + | 0.174954i | ||||
\(880\) | 3.41391 | + | 12.7409i | 0.115083 | + | 0.429495i | ||||
\(881\) | 35.4462i | 1.19421i | 0.802163 | + | 0.597106i | \(0.203683\pi\) | ||||
−0.802163 | + | 0.597106i | \(0.796317\pi\) | |||||||
\(882\) | −0.647884 | + | 49.5031i | −0.0218154 | + | 1.66686i | ||||
\(883\) | −16.4704 | + | 16.4704i | −0.554272 | + | 0.554272i | −0.927671 | − | 0.373399i | \(-0.878192\pi\) |
0.373399 | + | 0.927671i | \(0.378192\pi\) | |||||||
\(884\) | 1.08087 | − | 1.87211i | 0.0363535 | − | 0.0629660i | ||||
\(885\) | 1.78159 | + | 0.477375i | 0.0598875 | + | 0.0160468i | ||||
\(886\) | −1.35151 | − | 2.34088i | −0.0454049 | − | 0.0786435i | ||||
\(887\) | −3.38084 | − | 12.6175i | −0.113518 | − | 0.423653i | 0.885654 | − | 0.464345i | \(-0.153710\pi\) |
−0.999172 | + | 0.0406921i | \(0.987044\pi\) | |||||||
\(888\) | −41.7234 | + | 41.7234i | −1.40015 | + | 1.40015i | ||||
\(889\) | −10.2484 | + | 37.2704i | −0.343721 | + | 1.25001i | ||||
\(890\) | −4.65018 | − | 4.65018i | −0.155874 | − | 0.155874i | ||||
\(891\) | 9.87985 | − | 2.64730i | 0.330987 | − | 0.0886878i | ||||
\(892\) | −0.637658 | − | 1.10446i | −0.0213504 | − | 0.0369799i | ||||
\(893\) | −21.7069 | + | 12.5325i | −0.726395 | + | 0.419384i | ||||
\(894\) | 14.0857 | + | 8.13238i | 0.471096 | + | 0.271988i | ||||
\(895\) | 26.8602 | + | 26.8602i | 0.897839 | + | 0.897839i | ||||
\(896\) | 14.8529 | − | 14.6598i | 0.496200 | − | 0.489748i | ||||
\(897\) | − | 101.736i | − | 3.39687i | ||||||
\(898\) | −3.78207 | + | 6.55073i | −0.126209 | + | 0.218601i | ||||
\(899\) | −1.21961 | + | 4.55166i | −0.0406764 | + | 0.151806i | ||||
\(900\) | 2.99468 | − | 1.72898i | 0.0998226 | − | 0.0576326i | ||||
\(901\) | −6.20972 | + | 10.7555i | −0.206876 | + | 0.358319i | ||||
\(902\) | 6.75525 | − | 18.1369i | 0.224925 | − | 0.603891i | ||||
\(903\) | −46.5252 | + | 79.3799i | −1.54826 | + | 2.64160i | ||||
\(904\) | 4.62012i | 0.153663i | ||||||||
\(905\) | −4.70015 | + | 1.25940i | −0.156238 | + | 0.0418639i | ||||
\(906\) | 14.9292 | + | 25.8581i | 0.495989 | + | 0.859078i | ||||
\(907\) | −11.9377 | + | 6.89225i | −0.396386 | + | 0.228854i | −0.684923 | − | 0.728615i | \(-0.740164\pi\) |
0.288537 | + | 0.957469i | \(0.406831\pi\) | |||||||
\(908\) | −0.488952 | − | 1.82479i | −0.0162264 | − | 0.0605579i | ||||
\(909\) | 17.2564 | + | 17.2564i | 0.572359 | + | 0.572359i | ||||
\(910\) | 25.8381 | + | 15.1439i | 0.856524 | + | 0.502016i | ||||
\(911\) | 1.37279i | 0.0454827i | 0.999741 | + | 0.0227413i | \(0.00723941\pi\) | ||||
−0.999741 | + | 0.0227413i | \(0.992761\pi\) | |||||||
\(912\) | 10.7354 | − | 18.5943i | 0.355486 | − | 0.615720i | ||||
\(913\) | 3.65834 | − | 13.6531i | 0.121073 | − | 0.451851i | ||||
\(914\) | 1.55085 | − | 5.78785i | 0.0512975 | − | 0.191445i | ||||
\(915\) | 6.33025 | − | 1.69619i | 0.209272 | − | 0.0560742i | ||||
\(916\) | 4.92057 | − | 4.92057i | 0.162580 | − | 0.162580i | ||||
\(917\) | 5.11976 | − | 5.05319i | 0.169069 | − | 0.166871i | ||||
\(918\) | −12.4751 | −0.411738 | ||||||||
\(919\) | −9.19225 | − | 34.3059i | −0.303224 | − | 1.13165i | −0.934463 | − | 0.356060i | \(-0.884120\pi\) |
0.631239 | − | 0.775588i | \(-0.282547\pi\) | |||||||
\(920\) | 18.1407 | + | 31.4206i | 0.598081 | + | 1.03591i | ||||
\(921\) | −55.7088 | − | 14.9271i | −1.83567 | − | 0.491865i | ||||
\(922\) | −28.8933 | − | 16.6815i | −0.951549 | − | 0.549377i | ||||
\(923\) | − | 16.5402i | − | 0.544429i | ||||||
\(924\) | −5.51110 | − | 1.51541i | −0.181302 | − | 0.0498535i | ||||
\(925\) | −13.4257 | −0.441434 | ||||||||
\(926\) | −1.51619 | − | 5.65849i | −0.0498251 | − | 0.185950i | ||||
\(927\) | 45.0429 | + | 78.0167i | 1.47940 | + | 2.56240i | ||||
\(928\) | −1.58938 | − | 0.425872i | −0.0521739 | − | 0.0139799i | ||||
\(929\) | −9.70884 | − | 36.2339i | −0.318537 | − | 1.18879i | −0.920652 | − | 0.390385i | \(-0.872342\pi\) |
0.602115 | − | 0.798409i | \(-0.294325\pi\) | |||||||
\(930\) | −23.6444 | − | 23.6444i | −0.775331 | − | 0.775331i | ||||
\(931\) | 4.30258 | − | 15.2560i | 0.141011 | − | 0.499994i | ||||
\(932\) | −5.00720 | − | 5.00720i | −0.164016 | − | 0.164016i | ||||
\(933\) | −33.6202 | + | 58.2318i | −1.10067 | + | 1.90642i | ||||
\(934\) | 7.28545 | − | 4.20626i | 0.238387 | − | 0.137633i | ||||
\(935\) | −4.72240 | + | 2.72648i | −0.154439 | + | 0.0891654i | ||||
\(936\) | −79.6947 | + | 21.3541i | −2.60490 | + | 0.697982i | ||||
\(937\) | −11.3197 | + | 11.3197i | −0.369797 | + | 0.369797i | −0.867403 | − | 0.497606i | \(-0.834213\pi\) |
0.497606 | + | 0.867403i | \(0.334213\pi\) | |||||||
\(938\) | 46.9305 | − | 26.6874i | 1.53234 | − | 0.871375i | ||||
\(939\) | 76.9632 | 2.51160 | ||||||||
\(940\) | −5.91309 | + | 1.58441i | −0.192864 | + | 0.0516777i | ||||
\(941\) | 22.1857 | − | 12.8089i | 0.723233 | − | 0.417559i | −0.0927084 | − | 0.995693i | \(-0.529552\pi\) |
0.815942 | + | 0.578134i | \(0.196219\pi\) | |||||||
\(942\) | −23.8840 | − | 41.3683i | −0.778183 | − | 1.34785i | ||||
\(943\) | 4.21264 | − | 44.3309i | 0.137182 | − | 1.44361i | ||||
\(944\) | −1.19212 | −0.0388000 | ||||||||
\(945\) | −0.214390 | + | 32.7634i | −0.00697411 | + | 1.06579i | ||||
\(946\) | 25.5626 | + | 25.5626i | 0.831113 | + | 0.831113i | ||||
\(947\) | 4.48354 | − | 7.76572i | 0.145695 | − | 0.252352i | −0.783937 | − | 0.620841i | \(-0.786791\pi\) |
0.929632 | + | 0.368489i | \(0.120125\pi\) | |||||||
\(948\) | −0.0847105 | + | 0.0489076i | −0.00275127 | + | 0.00158845i | ||||
\(949\) | −23.9534 | − | 6.41830i | −0.777561 | − | 0.208347i | ||||
\(950\) | 5.64128 | − | 1.51158i | 0.183027 | − | 0.0490420i | ||||
\(951\) | − | 38.0447i | − | 1.23368i | ||||||
\(952\) | 9.25162 | + | 5.42245i | 0.299847 | + | 0.175743i | ||||
\(953\) | −2.17990 | −0.0706139 | −0.0353069 | − | 0.999377i | \(-0.511241\pi\) | ||||
−0.0353069 | + | 0.999377i | \(0.511241\pi\) | |||||||
\(954\) | 62.9354 | − | 16.8635i | 2.03761 | − | 0.545975i | ||||
\(955\) | −3.62004 | + | 13.5102i | −0.117142 | + | 0.437179i | ||||
\(956\) | −1.72239 | + | 6.42806i | −0.0557062 | + | 0.207898i | ||||
\(957\) | −1.61731 | − | 6.03589i | −0.0522803 | − | 0.195113i | ||||
\(958\) | 27.3075 | − | 27.3075i | 0.882265 | − | 0.882265i | ||||
\(959\) | −23.8739 | + | 40.7330i | −0.770930 | + | 1.31534i | ||||
\(960\) | 31.5240 | − | 31.5240i | 1.01743 | − | 1.01743i | ||||
\(961\) | 2.43728 | − | 4.22150i | 0.0786220 | − | 0.136177i | ||||
\(962\) | 42.5316 | + | 11.3963i | 1.37127 | + | 0.367432i | ||||
\(963\) | 52.6034 | − | 30.3706i | 1.69512 | − | 0.978679i | ||||
\(964\) | 7.53521 | + | 4.35046i | 0.242693 | + | 0.140119i | ||||
\(965\) | −6.89759 | + | 6.89759i | −0.222041 | + | 0.222041i | ||||
\(966\) | 69.3696 | + | 0.453926i | 2.23193 | + | 0.0146048i | ||||
\(967\) | −29.4467 | + | 29.4467i | −0.946942 | + | 0.946942i | −0.998662 | − | 0.0517200i | \(-0.983530\pi\) |
0.0517200 | + | 0.998662i | \(0.483530\pi\) | |||||||
\(968\) | 8.36722 | − | 14.4924i | 0.268933 | − | 0.465805i | ||||
\(969\) | 8.57374 | + | 2.29733i | 0.275428 | + | 0.0738007i | ||||
\(970\) | 1.35807 | + | 0.363894i | 0.0436050 | + | 0.0116839i | ||||
\(971\) | −31.4440 | + | 8.42540i | −1.00909 | + | 0.270384i | −0.725248 | − | 0.688488i | \(-0.758275\pi\) |
−0.283839 | + | 0.958872i | \(0.591608\pi\) | |||||||
\(972\) | 1.94992 | + | 1.94992i | 0.0625437 | + | 0.0625437i | ||||
\(973\) | 7.62562 | − | 27.7321i | 0.244466 | − | 0.889049i | ||||
\(974\) | 47.0386 | 1.50721 | ||||||||
\(975\) | −25.1995 | − | 14.5490i | −0.807031 | − | 0.465939i | ||||
\(976\) | −3.66828 | + | 2.11788i | −0.117419 | + | 0.0677917i | ||||
\(977\) | 9.25790 | − | 34.5510i | 0.296187 | − | 1.10538i | −0.644084 | − | 0.764955i | \(-0.722761\pi\) |
0.940270 | − | 0.340428i | \(-0.110572\pi\) | |||||||
\(978\) | 4.87490 | + | 18.1934i | 0.155882 | + | 0.581760i | ||||
\(979\) | − | 6.81359i | − | 0.217763i | ||||||
\(980\) | 1.97938 | − | 3.32706i | 0.0632289 | − | 0.106279i | ||||
\(981\) | −45.8294 | − | 45.8294i | −1.46322 | − | 1.46322i | ||||
\(982\) | −27.4122 | − | 15.8265i | −0.874759 | − | 0.505042i | ||||
\(983\) | 9.06056 | + | 15.6934i | 0.288987 | + | 0.500540i | 0.973568 | − | 0.228396i | \(-0.0733482\pi\) |
−0.684581 | + | 0.728937i | \(0.740015\pi\) | |||||||
\(984\) | −55.1969 | + | 9.30777i | −1.75961 | + | 0.296721i | ||||
\(985\) | −24.1658 | + | 41.8564i | −0.769987 | + | 1.33366i | ||||
\(986\) | 1.61152i | 0.0513214i | ||||||||
\(987\) | −22.5769 | + | 82.1054i | −0.718632 | + | 2.61345i | ||||
\(988\) | 3.63111 | 0.115521 | ||||||||
\(989\) | 72.0341 | + | 41.5889i | 2.29055 | + | 1.32245i | ||||
\(990\) | 27.6328 | + | 7.40419i | 0.878228 | + | 0.235320i | ||||
\(991\) | −11.7496 | + | 43.8500i | −0.373238 | + | 1.39294i | 0.482665 | + | 0.875805i | \(0.339669\pi\) |
−0.855903 | + | 0.517137i | \(0.826998\pi\) | |||||||
\(992\) | −7.90044 | − | 4.56132i | −0.250839 | − | 0.144822i | ||||
\(993\) | − | 46.1236i | − | 1.46369i | ||||||
\(994\) | 11.2781 | + | 0.0737993i | 0.357720 | + | 0.00234077i | ||||
\(995\) | −25.7934 | − | 25.7934i | −0.817706 | − | 0.817706i | ||||
\(996\) | −5.42785 | + | 1.45439i | −0.171988 | + | 0.0460840i | ||||
\(997\) | −5.84676 | + | 21.8204i | −0.185169 | + | 0.691059i | 0.809426 | + | 0.587223i | \(0.199779\pi\) |
−0.994594 | + | 0.103837i | \(0.966888\pi\) | |||||||
\(998\) | −39.9634 | − | 10.7082i | −1.26502 | − | 0.338961i | ||||
\(999\) | 12.4675 | + | 46.5294i | 0.394454 | + | 1.47212i |
(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 | 287.2.r.c.9.17 | ✓ | 96 | |
7.4 | even | 3 | inner | 287.2.r.c.214.8 | yes | 96 | |
41.32 | even | 4 | inner | 287.2.r.c.114.8 | yes | 96 | |
287.32 | even | 12 | inner | 287.2.r.c.32.17 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.r.c.9.17 | ✓ | 96 | 1.1 | even | 1 | trivial | |
287.2.r.c.32.17 | yes | 96 | 287.32 | even | 12 | inner | |
287.2.r.c.114.8 | yes | 96 | 41.32 | even | 4 | inner | |
287.2.r.c.214.8 | yes | 96 | 7.4 | even | 3 | inner |