Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(31,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.k (of order \(4\), degree \(2\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(i)\) |
Coefficient field: | \(\Q(i, \sqrt{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 255.1 | ||
Root | \(-1.58114 - 1.58114i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 416.255 |
Dual form | 416.2.k.d.31.1 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.00000i | 0.577350i | 0.957427 | + | 0.288675i | \(0.0932147\pi\) | ||||
−0.957427 | + | 0.288675i | \(0.906785\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.58114 | − | 1.58114i | −0.707107 | − | 0.707107i | 0.258819 | − | 0.965926i | \(-0.416667\pi\) |
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.58114 | − | 1.58114i | −0.597614 | − | 0.597614i | 0.342063 | − | 0.939677i | \(-0.388874\pi\) |
−0.939677 | + | 0.342063i | \(0.888874\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.00000 | 0.666667 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.16228 | + | 4.16228i | 1.25497 | + | 1.25497i | 0.953463 | + | 0.301511i | \(0.0974911\pi\) |
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.58114 | − | 0.418861i | 0.993229 | − | 0.116171i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.58114 | − | 1.58114i | 0.408248 | − | 0.408248i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 7.32456i | − | 1.77647i | −0.459394 | − | 0.888233i | \(-0.651933\pi\) | ||
0.459394 | − | 0.888233i | \(-0.348067\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.16228 | − | 1.16228i | 0.266645 | − | 0.266645i | −0.561102 | − | 0.827747i | \(-0.689622\pi\) |
0.827747 | + | 0.561102i | \(0.189622\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.58114 | − | 1.58114i | 0.345033 | − | 0.345033i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 7.16228 | 1.49344 | 0.746719 | − | 0.665140i | \(-0.231628\pi\) | ||||
0.746719 | + | 0.665140i | \(0.231628\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.00000i | 0.962250i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.16228 | −0.215830 | −0.107915 | − | 0.994160i | \(-0.534417\pi\) | ||||
−0.107915 | + | 0.994160i | \(0.534417\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.16228 | + | 1.16228i | −0.208751 | + | 0.208751i | −0.803737 | − | 0.594985i | \(-0.797158\pi\) |
0.594985 | + | 0.803737i | \(0.297158\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.16228 | + | 4.16228i | −0.724560 | + | 0.724560i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.00000i | 0.845154i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.58114 | + | 3.58114i | −0.588736 | + | 0.588736i | −0.937289 | − | 0.348553i | \(-0.886673\pi\) |
0.348553 | + | 0.937289i | \(0.386673\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.418861 | + | 3.58114i | 0.0670715 | + | 0.573441i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.16228 | + | 5.16228i | 0.806212 | + | 0.806212i | 0.984058 | − | 0.177846i | \(-0.0569129\pi\) |
−0.177846 | + | 0.984058i | \(0.556913\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.00000 | −0.762493 | −0.381246 | − | 0.924473i | \(-0.624505\pi\) | ||||
−0.381246 | + | 0.924473i | \(0.624505\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.16228 | − | 3.16228i | −0.471405 | − | 0.471405i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.74342 | − | 6.74342i | −0.983628 | − | 0.983628i | 0.0162397 | − | 0.999868i | \(-0.494831\pi\) |
−0.999868 | + | 0.0162397i | \(0.994831\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 2.00000i | − | 0.285714i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.32456 | 1.02564 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9.48683 | 1.30312 | 0.651558 | − | 0.758599i | \(-0.274116\pi\) | ||||
0.651558 | + | 0.758599i | \(0.274116\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 13.1623i | − | 1.77480i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.16228 | + | 1.16228i | 0.153947 | + | 0.153947i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.00000 | − | 4.00000i | −0.520756 | − | 0.520756i | 0.397044 | − | 0.917800i | \(-0.370036\pi\) |
−0.917800 | + | 0.397044i | \(0.870036\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.00000 | 0.256074 | 0.128037 | − | 0.991769i | \(-0.459132\pi\) | ||||
0.128037 | + | 0.991769i | \(0.459132\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.16228 | − | 3.16228i | −0.398410 | − | 0.398410i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.32456 | − | 5.00000i | −0.784465 | − | 0.620174i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.32456 | + | 7.32456i | −0.894837 | + | 0.894837i | −0.994974 | − | 0.100137i | \(-0.968072\pi\) |
0.100137 | + | 0.994974i | \(0.468072\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 7.16228i | 0.862237i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.58114 | + | 1.58114i | −0.187647 | + | 0.187647i | −0.794678 | − | 0.607031i | \(-0.792360\pi\) |
0.607031 | + | 0.794678i | \(0.292360\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.00000 | + | 6.00000i | −0.702247 | + | 0.702247i | −0.964892 | − | 0.262646i | \(-0.915405\pi\) |
0.262646 | + | 0.964892i | \(0.415405\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 13.1623i | − | 1.49998i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.48683i | 0.392299i | 0.980574 | + | 0.196150i | \(0.0628438\pi\) | ||||
−0.980574 | + | 0.196150i | \(0.937156\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.83772 | − | 5.83772i | 0.640773 | − | 0.640773i | −0.309972 | − | 0.950746i | \(-0.600320\pi\) |
0.950746 | + | 0.309972i | \(0.100320\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.5811 | + | 11.5811i | −1.25615 | + | 1.25615i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | − | 1.16228i | − | 0.124609i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.83772 | + | 2.83772i | −0.300798 | + | 0.300798i | −0.841326 | − | 0.540528i | \(-0.818224\pi\) |
0.540528 | + | 0.841326i | \(0.318224\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.32456 | − | 5.00000i | −0.662994 | − | 0.524142i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.16228 | − | 1.16228i | −0.120523 | − | 0.120523i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.67544 | −0.377093 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.83772 | − | 3.83772i | −0.389662 | − | 0.389662i | 0.484905 | − | 0.874567i | \(-0.338854\pi\) |
−0.874567 | + | 0.484905i | \(0.838854\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.32456 | + | 8.32456i | 0.836649 | + | 0.836649i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 10.3246i | 1.02733i | 0.857990 | + | 0.513666i | \(0.171713\pi\) | ||||
−0.857990 | + | 0.513666i | \(0.828287\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.48683 | −0.737700 | −0.368850 | − | 0.929489i | \(-0.620248\pi\) | ||||
−0.368850 | + | 0.929489i | \(0.620248\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.00000 | −0.487950 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 12.3246i | − | 1.19146i | −0.803185 | − | 0.595730i | \(-0.796863\pi\) | ||
0.803185 | − | 0.595730i | \(-0.203137\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.25658 | − | 1.25658i | −0.120359 | − | 0.120359i | 0.644362 | − | 0.764721i | \(-0.277123\pi\) |
−0.764721 | + | 0.644362i | \(0.777123\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.58114 | − | 3.58114i | −0.339907 | − | 0.339907i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 16.0000 | 1.50515 | 0.752577 | − | 0.658505i | \(-0.228811\pi\) | ||||
0.752577 | + | 0.658505i | \(0.228811\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.3246 | − | 11.3246i | −1.05602 | − | 1.05602i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.16228 | − | 0.837722i | 0.662153 | − | 0.0774475i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −11.5811 | + | 11.5811i | −1.06164 | + | 1.06164i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 23.6491i | 2.14992i | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.16228 | + | 5.16228i | −0.465467 | + | 0.465467i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.90569 | + | 7.90569i | −0.707107 | + | 0.707107i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.83772 | 0.784221 | 0.392111 | − | 0.919918i | \(-0.371745\pi\) | ||||
0.392111 | + | 0.919918i | \(0.371745\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 5.00000i | − | 0.440225i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 11.6491i | − | 1.01779i | −0.860829 | − | 0.508894i | \(-0.830055\pi\) | ||
0.860829 | − | 0.508894i | \(-0.169945\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.67544 | −0.318701 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.90569 | − | 7.90569i | 0.680414 | − | 0.680414i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.00000 | + | 3.00000i | −0.256307 | + | 0.256307i | −0.823550 | − | 0.567243i | \(-0.808010\pi\) |
0.567243 | + | 0.823550i | \(0.308010\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.3246i | 1.29981i | 0.760015 | + | 0.649906i | \(0.225192\pi\) | ||||
−0.760015 | + | 0.649906i | \(0.774808\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.74342 | − | 6.74342i | 0.567898 | − | 0.567898i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 16.6491 | + | 13.1623i | 1.39227 | + | 1.10068i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.83772 | + | 1.83772i | 0.152615 | + | 0.152615i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.00000 | 0.164957 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.00000 | + | 2.00000i | 0.163846 | + | 0.163846i | 0.784268 | − | 0.620422i | \(-0.213039\pi\) |
−0.620422 | + | 0.784268i | \(0.713039\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.25658 | − | 1.25658i | −0.102259 | − | 0.102259i | 0.654126 | − | 0.756385i | \(-0.273037\pi\) |
−0.756385 | + | 0.654126i | \(0.773037\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 14.6491i | − | 1.18431i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.67544 | 0.295219 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −22.9737 | −1.83350 | −0.916749 | − | 0.399464i | \(-0.869196\pi\) | ||||
−0.916749 | + | 0.399464i | \(0.869196\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 9.48683i | 0.752355i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −11.3246 | − | 11.3246i | −0.892500 | − | 0.892500i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.00000 | − | 9.00000i | −0.704934 | − | 0.704934i | 0.260531 | − | 0.965465i | \(-0.416102\pi\) |
−0.965465 | + | 0.260531i | \(0.916102\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 13.1623 | 1.02468 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 17.4868 | + | 17.4868i | 1.35317 | + | 1.35317i | 0.882089 | + | 0.471083i | \(0.156137\pi\) |
0.471083 | + | 0.882089i | \(0.343863\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.6491 | − | 3.00000i | 0.973009 | − | 0.230769i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.32456 | − | 2.32456i | 0.177763 | − | 0.177763i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 3.48683i | − | 0.265099i | −0.991176 | − | 0.132550i | \(-0.957684\pi\) | ||
0.991176 | − | 0.132550i | \(-0.0423164\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.00000 | − | 4.00000i | 0.300658 | − | 0.300658i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −15.6491 | −1.16967 | −0.584835 | − | 0.811152i | \(-0.698841\pi\) | ||||
−0.584835 | + | 0.811152i | \(0.698841\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2.83772i | − | 0.210926i | −0.994423 | − | 0.105463i | \(-0.966368\pi\) | ||
0.994423 | − | 0.105463i | \(-0.0336325\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000i | 0.147844i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 11.3246 | 0.832598 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 30.4868 | − | 30.4868i | 2.22942 | − | 2.22942i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 7.90569 | − | 7.90569i | 0.575055 | − | 0.575055i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.8377i | 1.36305i | 0.731795 | + | 0.681525i | \(0.238683\pi\) | ||||
−0.731795 | + | 0.681525i | \(0.761317\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.16228 | + | 2.16228i | −0.155644 | + | 0.155644i | −0.780633 | − | 0.624989i | \(-0.785103\pi\) |
0.624989 | + | 0.780633i | \(0.285103\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.00000 | − | 6.32456i | 0.358057 | − | 0.452911i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.58114 | + | 7.58114i | 0.540134 | + | 0.540134i | 0.923568 | − | 0.383434i | \(-0.125259\pi\) |
−0.383434 | + | 0.923568i | \(0.625259\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −27.1623 | −1.92548 | −0.962741 | − | 0.270424i | \(-0.912836\pi\) | ||||
−0.962741 | + | 0.270424i | \(0.912836\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.32456 | − | 7.32456i | −0.516634 | − | 0.516634i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.83772 | + | 1.83772i | 0.128983 | + | 0.128983i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 16.3246i | − | 1.14016i | ||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 14.3246 | 0.995625 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.67544 | 0.669265 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.64911i | 0.664272i | 0.943231 | + | 0.332136i | \(0.107769\pi\) | ||||
−0.943231 | + | 0.332136i | \(0.892231\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.58114 | − | 1.58114i | −0.108338 | − | 0.108338i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.90569 | + | 7.90569i | 0.539164 | + | 0.539164i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.67544 | 0.249505 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.00000 | − | 6.00000i | −0.405442 | − | 0.405442i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.06797 | − | 26.2302i | −0.206374 | − | 1.76444i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.06797 | − | 9.06797i | 0.607236 | − | 0.607236i | −0.334987 | − | 0.942223i | \(-0.608732\pi\) |
0.942223 | + | 0.334987i | \(0.108732\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.16228 | − | 3.16228i | 0.209888 | − | 0.209888i | −0.594332 | − | 0.804220i | \(-0.702583\pi\) |
0.804220 | + | 0.594332i | \(0.202583\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.90569 | − | 5.90569i | 0.390259 | − | 0.390259i | −0.484521 | − | 0.874780i | \(-0.661006\pi\) |
0.874780 | + | 0.484521i | \(0.161006\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.1623 | 0.866014 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.32456i | 0.479848i | 0.970792 | + | 0.239924i | \(0.0771225\pi\) | ||||
−0.970792 | + | 0.239924i | \(0.922878\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 21.3246i | 1.39106i | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.48683 | −0.226494 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.4189 | + | 12.4189i | −0.803309 | + | 0.803309i | −0.983611 | − | 0.180302i | \(-0.942293\pi\) |
0.180302 | + | 0.983611i | \(0.442293\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.48683 | − | 3.48683i | 0.224607 | − | 0.224607i | −0.585828 | − | 0.810435i | \(-0.699231\pi\) |
0.810435 | + | 0.585828i | \(0.199231\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 16.0000i | 1.02640i | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.16228 | + | 3.16228i | −0.202031 | + | 0.202031i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.67544 | − | 4.64911i | 0.233863 | − | 0.295816i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.83772 | + | 5.83772i | 0.369951 | + | 0.369951i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.64911 | −0.419688 | −0.209844 | − | 0.977735i | \(-0.567296\pi\) | ||||
−0.209844 | + | 0.977735i | \(0.567296\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 29.8114 | + | 29.8114i | 1.87423 | + | 1.87423i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −11.5811 | − | 11.5811i | −0.725239 | − | 0.725239i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | − | 4.35089i | − | 0.271401i | −0.990750 | − | 0.135701i | \(-0.956672\pi\) | ||
0.990750 | − | 0.135701i | \(-0.0433285\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.3246 | 0.703674 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.32456 | −0.143886 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.00000i | 0.369976i | 0.982741 | + | 0.184988i | \(0.0592246\pi\) | ||||
−0.982741 | + | 0.184988i | \(0.940775\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.0000 | − | 15.0000i | −0.921443 | − | 0.921443i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.83772 | − | 2.83772i | −0.173666 | − | 0.173666i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.0000 | 0.609711 | 0.304855 | − | 0.952399i | \(-0.401392\pi\) | ||||
0.304855 | + | 0.952399i | \(0.401392\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.06797 | − | 9.06797i | −0.550840 | − | 0.550840i | 0.375843 | − | 0.926683i | \(-0.377353\pi\) |
−0.926683 | + | 0.375843i | \(0.877353\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.00000 | − | 6.32456i | 0.302614 | − | 0.382780i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.3246i | 0.740511i | 0.928930 | + | 0.370255i | \(0.120730\pi\) | ||||
−0.928930 | + | 0.370255i | \(0.879270\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.32456 | + | 2.32456i | −0.139167 | + | 0.139167i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.48683 | − | 1.48683i | 0.0886970 | − | 0.0886970i | −0.661366 | − | 0.750063i | \(-0.730023\pi\) |
0.750063 | + | 0.661366i | \(0.230023\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.649111 | 0.0385856 | 0.0192928 | − | 0.999814i | \(-0.493859\pi\) | ||||
0.0192928 | + | 0.999814i | \(0.493859\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | − | 3.67544i | − | 0.217715i | ||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 16.3246i | − | 0.963608i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −36.6491 | −2.15583 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.83772 | − | 3.83772i | 0.224971 | − | 0.224971i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.25658 | + | 7.25658i | −0.423934 | + | 0.423934i | −0.886556 | − | 0.462622i | \(-0.846909\pi\) |
0.462622 | + | 0.886556i | \(0.346909\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.6491i | 0.736460i | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −20.8114 | + | 20.8114i | −1.20760 | + | 1.20760i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 25.6491 | − | 3.00000i | 1.48333 | − | 0.173494i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.90569 | + | 7.90569i | 0.455677 | + | 0.455677i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −10.3246 | −0.593130 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.16228 | − | 3.16228i | −0.181071 | − | 0.181071i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.324555 | − | 0.324555i | −0.0185234 | − | 0.0185234i | 0.697784 | − | 0.716308i | \(-0.254169\pi\) |
−0.716308 | + | 0.697784i | \(0.754169\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 7.48683i | − | 0.425911i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 24.9737 | 1.41613 | 0.708063 | − | 0.706149i | \(-0.249569\pi\) | ||||
0.708063 | + | 0.706149i | \(0.249569\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.6491 | 0.884540 | 0.442270 | − | 0.896882i | \(-0.354173\pi\) | ||||
0.442270 | + | 0.896882i | \(0.354173\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 10.0000i | 0.563436i | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −20.3246 | − | 20.3246i | −1.14154 | − | 1.14154i | −0.988168 | − | 0.153372i | \(-0.950987\pi\) |
−0.153372 | − | 0.988168i | \(-0.549013\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.83772 | − | 4.83772i | −0.270860 | − | 0.270860i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.3246 | 0.687890 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.51317 | − | 8.51317i | −0.473685 | − | 0.473685i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.25658 | − | 1.25658i | 0.0694892 | − | 0.0694892i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 21.3246i | 1.17566i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.4868 | + | 14.4868i | −0.796268 | + | 0.796268i | −0.982505 | − | 0.186237i | \(-0.940371\pi\) |
0.186237 | + | 0.982505i | \(0.440371\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.16228 | + | 7.16228i | −0.392490 | + | 0.392490i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 23.1623 | 1.26549 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 9.64911i | − | 0.525621i | −0.964848 | − | 0.262810i | \(-0.915351\pi\) | ||
0.964848 | − | 0.262810i | \(-0.0846493\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 16.0000i | 0.869001i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.67544 | −0.523955 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.2302 | + | 14.2302i | −0.768361 | + | 0.768361i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 11.3246 | − | 11.3246i | 0.609694 | − | 0.609694i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 24.2982i | − | 1.30440i | −0.758048 | − | 0.652198i | \(-0.773847\pi\) | ||
0.758048 | − | 0.652198i | \(-0.226153\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.41886 | + | 2.41886i | −0.129479 | + | 0.129479i | −0.768876 | − | 0.639398i | \(-0.779184\pi\) |
0.639398 | + | 0.768876i | \(0.279184\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.09431 | + | 17.9057i | 0.111786 | + | 0.955735i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.162278 | + | 0.162278i | 0.00863717 | + | 0.00863717i | 0.711412 | − | 0.702775i | \(-0.248056\pi\) |
−0.702775 | + | 0.711412i | \(0.748056\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.00000 | 0.265372 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −11.5811 | − | 11.5811i | −0.612939 | − | 0.612939i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −14.8377 | − | 14.8377i | −0.783105 | − | 0.783105i | 0.197248 | − | 0.980354i | \(-0.436799\pi\) |
−0.980354 | + | 0.197248i | \(0.936799\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.2982i | 0.857801i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −23.6491 | −1.24126 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.9737 | 0.993127 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 23.1623i | − | 1.20906i | −0.796582 | − | 0.604531i | \(-0.793361\pi\) | ||
0.796582 | − | 0.604531i | \(-0.206639\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.3246 | + | 10.3246i | 0.537475 | + | 0.537475i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −15.0000 | − | 15.0000i | −0.778761 | − | 0.778761i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.6491 | −0.654946 | −0.327473 | − | 0.944861i | \(-0.606197\pi\) | ||||
−0.327473 | + | 0.944861i | \(0.606197\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.90569 | − | 7.90569i | −0.408248 | − | 0.408248i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.16228 | + | 0.486833i | −0.214368 | + | 0.0250732i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.0000 | + | 13.0000i | −0.667765 | + | 0.667765i | −0.957198 | − | 0.289433i | \(-0.906533\pi\) |
0.289433 | + | 0.957198i | \(0.406533\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.83772i | 0.452770i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 16.7434 | − | 16.7434i | 0.855549 | − | 0.855549i | −0.135261 | − | 0.990810i | \(-0.543187\pi\) |
0.990810 | + | 0.135261i | \(0.0431874\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −20.8114 | + | 20.8114i | −1.06065 | + | 1.06065i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −10.0000 | −0.508329 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.00000i | 0.202808i | 0.994845 | + | 0.101404i | \(0.0323335\pi\) | ||||
−0.994845 | + | 0.101404i | \(0.967667\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 52.4605i | − | 2.65304i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.6491 | 0.587620 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.51317 | − | 5.51317i | 0.277398 | − | 0.277398i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.2982 | + | 23.2982i | −1.16930 | + | 1.16930i | −0.186931 | + | 0.982373i | \(0.559854\pi\) |
−0.982373 | + | 0.186931i | \(0.940146\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | − | 3.67544i | − | 0.184002i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 23.9737 | − | 23.9737i | 1.19719 | − | 1.19719i | 0.222183 | − | 0.975005i | \(-0.428682\pi\) |
0.975005 | − | 0.222183i | \(-0.0713181\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.67544 | + | 4.64911i | −0.183087 | + | 0.231589i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.58114 | − | 1.58114i | −0.0785674 | − | 0.0785674i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −29.8114 | −1.47770 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 23.3246 | + | 23.3246i | 1.15333 | + | 1.15333i | 0.985882 | + | 0.167443i | \(0.0535511\pi\) |
0.167443 | + | 0.985882i | \(0.446449\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.00000 | − | 3.00000i | −0.147979 | − | 0.147979i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 12.6491i | 0.622422i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −18.4605 | −0.906190 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −15.3246 | −0.750447 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 4.67544i | 0.228410i | 0.993457 | + | 0.114205i | \(0.0364321\pi\) | ||||
−0.993457 | + | 0.114205i | \(0.963568\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.41886 | − | 2.41886i | −0.117888 | − | 0.117888i | 0.645702 | − | 0.763590i | \(-0.276565\pi\) |
−0.763590 | + | 0.645702i | \(0.776565\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −13.4868 | − | 13.4868i | −0.655752 | − | 0.655752i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.16228 | − | 3.16228i | −0.153033 | − | 0.153033i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −13.1623 | + | 16.6491i | −0.635481 | + | 0.803827i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −23.3925 | + | 23.3925i | −1.12678 | + | 1.12678i | −0.136081 | + | 0.990698i | \(0.543451\pi\) |
−0.990698 | + | 0.136081i | \(0.956549\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 9.97367i | − | 0.479304i | −0.970859 | − | 0.239652i | \(-0.922967\pi\) | ||
0.970859 | − | 0.239652i | \(-0.0770333\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.83772 | + | 1.83772i | −0.0881120 | + | 0.0881120i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.32456 | − | 8.32456i | 0.398217 | − | 0.398217i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.649111 | −0.0309804 | −0.0154902 | − | 0.999880i | \(-0.504931\pi\) | ||||
−0.0154902 | + | 0.999880i | \(0.504931\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 4.00000i | − | 0.190476i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 30.2982i | 1.43951i | 0.694227 | + | 0.719756i | \(0.255746\pi\) | ||||
−0.694227 | + | 0.719756i | \(0.744254\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.97367 | 0.425393 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.00000 | + | 2.00000i | −0.0945968 | + | 0.0945968i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −26.4868 | + | 26.4868i | −1.24999 | + | 1.24999i | −0.294268 | + | 0.955723i | \(0.595076\pi\) |
−0.955723 | + | 0.294268i | \(0.904924\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 42.9737i | 2.02355i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.25658 | − | 1.25658i | 0.0590394 | − | 0.0590394i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.09431 | + | 17.9057i | 0.0981826 | + | 0.839432i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −25.8114 | − | 25.8114i | −1.20741 | − | 1.20741i | −0.971864 | − | 0.235542i | \(-0.924314\pi\) |
−0.235542 | − | 0.971864i | \(-0.575686\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 36.6228 | 1.70940 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −11.0680 | − | 11.0680i | −0.515487 | − | 0.515487i | 0.400716 | − | 0.916202i | \(-0.368762\pi\) |
−0.916202 | + | 0.400716i | \(0.868762\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.837722 | − | 0.837722i | −0.0389323 | − | 0.0389323i | 0.687373 | − | 0.726305i | \(-0.258764\pi\) |
−0.726305 | + | 0.687373i | \(0.758764\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.67544i | 0.170445i | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.35089 | 0.432708 | 0.216354 | − | 0.976315i | \(-0.430584\pi\) | ||||
0.216354 | + | 0.976315i | \(0.430584\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.1623 | 1.06953 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 22.9737i | − | 1.05857i | ||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −20.8114 | − | 20.8114i | −0.956909 | − | 0.956909i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.9737 | 0.868744 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.39253 | + | 5.39253i | 0.246391 | + | 0.246391i | 0.819488 | − | 0.573097i | \(-0.194258\pi\) |
−0.573097 | + | 0.819488i | \(0.694258\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.3246 | + | 14.3246i | −0.516355 | + | 0.653144i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.3246 | − | 11.3246i | 0.515285 | − | 0.515285i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 12.1359i | 0.551065i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 27.8114 | − | 27.8114i | 1.26025 | − | 1.26025i | 0.309285 | − | 0.950969i | \(-0.399910\pi\) |
0.950969 | − | 0.309285i | \(-0.100090\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.00000 | − | 9.00000i | 0.406994 | − | 0.406994i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −28.6754 | −1.29410 | −0.647052 | − | 0.762446i | \(-0.723998\pi\) | ||||
−0.647052 | + | 0.762446i | \(0.723998\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 8.51317i | 0.383414i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 26.3246i | − | 1.18320i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.00000 | 0.224281 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.4868 | − | 15.4868i | 0.693286 | − | 0.693286i | −0.269668 | − | 0.962953i | \(-0.586914\pi\) |
0.962953 | + | 0.269668i | \(0.0869138\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −17.4868 | + | 17.4868i | −0.781254 | + | 0.781254i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 14.6491i | − | 0.653172i | −0.945168 | − | 0.326586i | \(-0.894102\pi\) | ||
0.945168 | − | 0.326586i | \(-0.105898\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.3246 | − | 16.3246i | 0.726433 | − | 0.726433i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.00000 | + | 12.6491i | 0.133235 | + | 0.561767i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.00000 | + | 2.00000i | 0.0886484 | + | 0.0886484i | 0.750040 | − | 0.661392i | \(-0.230034\pi\) |
−0.661392 | + | 0.750040i | \(0.730034\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.9737 | 0.839346 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.81139 | + | 5.81139i | 0.256579 | + | 0.256579i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 11.8377 | + | 11.8377i | 0.521632 | + | 0.521632i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 56.1359i | − | 2.46886i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.48683 | 0.153055 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.6754 | −0.467700 | −0.233850 | − | 0.972273i | \(-0.575132\pi\) | ||||
−0.233850 | + | 0.972273i | \(0.575132\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 0.324555i | − | 0.0141918i | −0.999975 | − | 0.00709591i | \(-0.997741\pi\) | ||
0.999975 | − | 0.00709591i | \(-0.00225872\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.51317 | + | 8.51317i | 0.370839 | + | 0.370839i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 28.2982 | 1.23036 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.00000 | − | 8.00000i | −0.347170 | − | 0.347170i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 20.6491 | + | 16.3246i | 0.894412 | + | 0.707095i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.4868 | + | 19.4868i | −0.842489 | + | 0.842489i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | − | 15.6491i | − | 0.675309i | ||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8.32456 | − | 8.32456i | 0.358564 | − | 0.358564i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.0680 | − | 15.0680i | 0.647823 | − | 0.647823i | −0.304644 | − | 0.952466i | \(-0.598537\pi\) |
0.952466 | + | 0.304644i | \(0.0985374\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.83772 | 0.121778 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.97367i | 0.170213i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 23.3246i | 0.997286i | 0.866807 | + | 0.498643i | \(0.166168\pi\) | ||||
−0.866807 | + | 0.498643i | \(0.833832\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.00000 | 0.170716 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.35089 | + | 1.35089i | −0.0575498 | + | 0.0575498i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.51317 | − | 5.51317i | 0.234444 | − | 0.234444i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 11.3246i | 0.480701i | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −9.58114 | + | 9.58114i | −0.405966 | + | 0.405966i | −0.880329 | − | 0.474363i | \(-0.842678\pi\) |
0.474363 | + | 0.880329i | \(0.342678\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.9057 | + | 2.09431i | −0.757330 | + | 0.0885797i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 30.4868 | + | 30.4868i | 1.28716 | + | 1.28716i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 13.3246 | 0.561563 | 0.280782 | − | 0.959772i | \(-0.409406\pi\) | ||||
0.280782 | + | 0.959772i | \(0.409406\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −25.2982 | − | 25.2982i | −1.06430 | − | 1.06430i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.58114 | − | 1.58114i | −0.0664016 | − | 0.0664016i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 3.97367i | − | 0.166585i | −0.996525 | − | 0.0832924i | \(-0.973456\pi\) | ||
0.996525 | − | 0.0832924i | \(-0.0265435\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.9737 | 0.584780 | 0.292390 | − | 0.956299i | \(-0.405550\pi\) | ||||
0.292390 | + | 0.956299i | \(0.405550\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −18.8377 | −0.786957 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 20.9737 | + | 20.9737i | 0.873145 | + | 0.873145i | 0.992814 | − | 0.119669i | \(-0.0381832\pi\) |
−0.119669 | + | 0.992814i | \(0.538183\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.16228 | − | 2.16228i | −0.0898612 | − | 0.0898612i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −18.4605 | −0.765871 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 39.4868 | + | 39.4868i | 1.63538 | + | 1.63538i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −12.6491 | − | 10.0000i | −0.522976 | − | 0.413449i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7.00000 | − | 7.00000i | 0.288921 | − | 0.288921i | −0.547733 | − | 0.836653i | \(-0.684509\pi\) |
0.836653 | + | 0.547733i | \(0.184509\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.70178i | 0.111325i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.58114 | + | 7.58114i | −0.311846 | + | 0.311846i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −12.4868 | + | 12.4868i | −0.512773 | + | 0.512773i | −0.915375 | − | 0.402602i | \(-0.868106\pi\) |
0.402602 | + | 0.915375i | \(0.368106\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 36.6228 | 1.50139 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − | 27.1623i | − | 1.11168i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 27.6228i | 1.12864i | 0.825557 | + | 0.564318i | \(0.190861\pi\) | ||||
−0.825557 | + | 0.564318i | \(0.809139\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −30.9473 | −1.26237 | −0.631184 | − | 0.775633i | \(-0.717431\pi\) | ||||
−0.631184 | + | 0.775633i | \(0.717431\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −14.6491 | + | 14.6491i | −0.596558 | + | 0.596558i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 37.3925 | − | 37.3925i | 1.52022 | − | 1.52022i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 18.9737i | − | 0.770117i | −0.922892 | − | 0.385059i | \(-0.874181\pi\) | ||
0.922892 | − | 0.385059i | \(-0.125819\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.83772 | + | 1.83772i | −0.0744683 | + | 0.0744683i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −26.9737 | − | 21.3246i | −1.09124 | − | 0.862699i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.51317 | + | 2.51317i | 0.101506 | + | 0.101506i | 0.756036 | − | 0.654530i | \(-0.227133\pi\) |
−0.654530 | + | 0.756036i | \(0.727133\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 16.3246 | 0.658270 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −14.9737 | − | 14.9737i | −0.602817 | − | 0.602817i | 0.338242 | − | 0.941059i | \(-0.390168\pi\) |
−0.941059 | + | 0.338242i | \(0.890168\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.51317 | + | 8.51317i | 0.342173 | + | 0.342173i | 0.857184 | − | 0.515011i | \(-0.172212\pi\) |
−0.515011 | + | 0.857184i | \(0.672212\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 35.8114i | 1.43706i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.97367 | 0.359522 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.0000 | 1.00000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 9.67544i | 0.386400i | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 26.2302 | + | 26.2302i | 1.04587 | + | 1.04587i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.2302 | + | 28.2302i | 1.12383 | + | 1.12383i | 0.991161 | + | 0.132668i | \(0.0423544\pi\) |
0.132668 | + | 0.991161i | \(0.457646\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −9.64911 | −0.383518 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −13.9737 | − | 13.9737i | −0.554528 | − | 0.554528i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.837722 | − | 7.16228i | −0.0331918 | − | 0.283780i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.16228 | + | 3.16228i | −0.125098 | + | 0.125098i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 21.6754i | − | 0.856129i | −0.903748 | − | 0.428064i | \(-0.859196\pi\) | ||
0.903748 | − | 0.428064i | \(-0.140804\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −19.3246 | + | 19.3246i | −0.762086 | + | 0.762086i | −0.976699 | − | 0.214613i | \(-0.931151\pi\) |
0.214613 | + | 0.976699i | \(0.431151\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.90569 | + | 7.90569i | −0.311286 | + | 0.311286i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −22.9737 | −0.903188 | −0.451594 | − | 0.892224i | \(-0.649144\pi\) | ||||
−0.451594 | + | 0.892224i | \(0.649144\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 33.2982i | − | 1.30707i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.67544i | 0.144052i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.02633 | 0.196696 | 0.0983478 | − | 0.995152i | \(-0.468644\pi\) | ||||
0.0983478 | + | 0.995152i | \(0.468644\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.4189 | + | 18.4189i | −0.719684 | + | 0.719684i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −12.0000 | + | 12.0000i | −0.468165 | + | 0.468165i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 28.9737i | − | 1.12865i | −0.825551 | − | 0.564327i | \(-0.809136\pi\) | ||
0.825551 | − | 0.564327i | \(-0.190864\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 23.1623 | − | 23.1623i | 0.900908 | − | 0.900908i | −0.0946066 | − | 0.995515i | \(-0.530159\pi\) |
0.995515 | + | 0.0946066i | \(0.0301593\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 26.2302 | − | 3.06797i | 1.01870 | − | 0.119150i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5.81139 | + | 5.81139i | 0.225356 | + | 0.225356i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.32456 | −0.322328 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 9.06797 | + | 9.06797i | 0.350588 | + | 0.350588i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.32456 | + | 8.32456i | 0.321366 | + | 0.321366i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 17.9737i | − | 0.692834i | −0.938081 | − | 0.346417i | \(-0.887398\pi\) | ||
0.938081 | − | 0.346417i | \(-0.112602\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 17.1623 | 0.659600 | 0.329800 | − | 0.944051i | \(-0.393019\pi\) | ||||
0.329800 | + | 0.944051i | \(0.393019\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.1359i | 0.465735i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 3.16228 | + | 3.16228i | 0.121179 | + | 0.121179i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −30.8114 | − | 30.8114i | −1.17897 | − | 1.17897i | −0.980008 | − | 0.198957i | \(-0.936245\pi\) |
−0.198957 | − | 0.980008i | \(-0.563755\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.48683 | 0.362473 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.90569 | + | 5.90569i | 0.225316 | + | 0.225316i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 33.9737 | − | 3.97367i | 1.29429 | − | 0.151385i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.6491 | − | 22.6491i | 0.861613 | − | 0.861613i | −0.129913 | − | 0.991525i | \(-0.541470\pi\) |
0.991525 | + | 0.129913i | \(0.0414697\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − | 26.3246i | − | 0.999987i | ||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 24.2302 | − | 24.2302i | 0.919106 | − | 0.919106i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 37.8114 | − | 37.8114i | 1.43221 | − | 1.43221i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.32456 | −0.277040 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 24.8377i | 0.938108i | 0.883170 | + | 0.469054i | \(0.155405\pi\) | ||||
−0.883170 | + | 0.469054i | \(0.844595\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.32456i | 0.313967i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.3246 | −0.803129 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 16.3246 | − | 16.3246i | 0.613948 | − | 0.613948i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 34.6491 | − | 34.6491i | 1.30127 | − | 1.30127i | 0.373742 | − | 0.927533i | \(-0.378075\pi\) |
0.927533 | − | 0.373742i | \(-0.121925\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.97367i | 0.261533i | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8.32456 | + | 8.32456i | −0.311757 | + | 0.311757i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.51317 | − | 47.1359i | −0.206181 | − | 1.76278i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −12.4189 | − | 12.4189i | −0.463791 | − | 0.463791i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −31.8114 | −1.18636 | −0.593182 | − | 0.805068i | \(-0.702129\pi\) | ||||
−0.593182 | + | 0.805068i | \(0.702129\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.8377 | + | 11.8377i | 0.440860 | + | 0.440860i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3.48683 | + | 3.48683i | 0.129677 | + | 0.129677i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.4605 | 0.833014 | 0.416507 | − | 0.909133i | \(-0.363254\pi\) | ||||
0.416507 | + | 0.909133i | \(0.363254\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 36.6228i | 1.35454i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.58114 | − | 5.58114i | −0.206144 | − | 0.206144i | 0.596482 | − | 0.802626i | \(-0.296565\pi\) |
−0.802626 | + | 0.596482i | \(0.796565\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.16228 | − | 3.16228i | −0.116642 | − | 0.116642i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −60.9737 | −2.24599 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.16228 | + | 9.16228i | 0.337040 | + | 0.337040i | 0.855252 | − | 0.518212i | \(-0.173402\pi\) |
−0.518212 | + | 0.855252i | \(0.673402\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.64911 | + | 3.67544i | 0.170789 | + | 0.135021i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.230249 | − | 0.230249i | 0.00844703 | − | 0.00844703i | −0.702871 | − | 0.711318i | \(-0.748099\pi\) |
0.711318 | + | 0.702871i | \(0.248099\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 6.32456i | − | 0.231714i | ||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 11.6754 | − | 11.6754i | 0.427182 | − | 0.427182i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −19.4868 | + | 19.4868i | −0.712033 | + | 0.712033i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 48.9737 | 1.78707 | 0.893537 | − | 0.448989i | \(-0.148216\pi\) | ||||
0.893537 | + | 0.448989i | \(0.148216\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 6.64911i | − | 0.242307i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.97367i | 0.144617i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28.4605 | −1.03441 | −0.517207 | − | 0.855860i | \(-0.673028\pi\) | ||||
−0.517207 | + | 0.855860i | \(0.673028\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −29.8114 | + | 29.8114i | −1.08208 | + | 1.08208i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.67544 | − | 5.67544i | 0.205735 | − | 0.205735i | −0.596717 | − | 0.802452i | \(-0.703529\pi\) |
0.802452 | + | 0.596717i | \(0.203529\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.97367i | 0.143856i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −23.1623 | + | 23.1623i | −0.837434 | + | 0.837434i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −16.0000 | − | 12.6491i | −0.577727 | − | 0.456733i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.649111 | + | 0.649111i | 0.0234075 | + | 0.0234075i | 0.718714 | − | 0.695306i | \(-0.244731\pi\) |
−0.695306 | + | 0.718714i | \(0.744731\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.35089 | 0.156693 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −21.2566 | − | 21.2566i | −0.764546 | − | 0.764546i | 0.212594 | − | 0.977141i | \(-0.431809\pi\) |
−0.977141 | + | 0.212594i | \(0.931809\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 11.3246i | 0.406266i | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 12.0000 | 0.429945 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.1623 | −0.470983 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 5.81139i | − | 0.207682i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 36.3246 | + | 36.3246i | 1.29648 | + | 1.29648i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 8.51317 | + | 8.51317i | 0.303462 | + | 0.303462i | 0.842367 | − | 0.538905i | \(-0.181162\pi\) |
−0.538905 | + | 0.842367i | \(0.681162\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.00000 | −0.213606 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −25.2982 | − | 25.2982i | −0.899501 | − | 0.899501i | ||||
\(792\) |