Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(121,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.q (of order \(3\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 241.2 | ||
Root | \(1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 360.241 |
Dual form | 360.2.q.c.121.2 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(3\) | 1.72474 | + | 0.158919i | 0.995782 | + | 0.0917517i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.724745 | − | 1.25529i | 0.273928 | − | 0.474457i | −0.695936 | − | 0.718104i | \(-0.745010\pi\) |
0.969864 | + | 0.243647i | \(0.0783437\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.94949 | + | 0.548188i | 0.983163 | + | 0.182729i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.724745 | + | 1.57313i | 0.187128 | + | 0.406181i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.00000 | −0.485071 | −0.242536 | − | 0.970143i | \(-0.577979\pi\) | ||||
−0.242536 | + | 0.970143i | \(0.577979\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.89898 | 0.665072 | 0.332536 | − | 0.943091i | \(-0.392096\pi\) | ||||
0.332536 | + | 0.943091i | \(0.392096\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.44949 | − | 2.04989i | 0.316305 | − | 0.447322i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.27526 | + | 2.20881i | 0.265909 | + | 0.460568i | 0.967801 | − | 0.251715i | \(-0.0809946\pi\) |
−0.701892 | + | 0.712283i | \(0.747661\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.00000 | + | 1.41421i | 0.962250 | + | 0.272166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.94949 | + | 6.84072i | −0.733402 | + | 1.27029i | 0.222019 | + | 0.975042i | \(0.428735\pi\) |
−0.955421 | + | 0.295247i | \(0.904598\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.44949 | − | 9.43879i | −0.978757 | − | 1.69526i | −0.666933 | − | 0.745117i | \(-0.732393\pi\) |
−0.311824 | − | 0.950140i | \(-0.600940\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.44949 | 0.245008 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.00000 | −0.986394 | −0.493197 | − | 0.869918i | \(-0.664172\pi\) | ||||
−0.493197 | + | 0.869918i | \(0.664172\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.0505103 | + | 0.0874863i | 0.00788838 | + | 0.0136631i | 0.869943 | − | 0.493153i | \(-0.164156\pi\) |
−0.862054 | + | 0.506816i | \(0.830822\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.89898 | − | 6.75323i | 0.594589 | − | 1.02986i | −0.399016 | − | 0.916944i | \(-0.630648\pi\) |
0.993605 | − | 0.112914i | \(-0.0360185\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.00000 | + | 2.82843i | 0.149071 | + | 0.421637i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.27526 | − | 3.94086i | 0.331880 | − | 0.574833i | −0.651000 | − | 0.759077i | \(-0.725650\pi\) |
0.982880 | + | 0.184244i | \(0.0589837\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.44949 | + | 4.24264i | 0.349927 | + | 0.606092i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.44949 | − | 0.317837i | −0.483025 | − | 0.0445061i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −11.7980 | −1.62057 | −0.810287 | − | 0.586033i | \(-0.800689\pi\) | ||||
−0.810287 | + | 0.586033i | \(0.800689\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.00000 | + | 0.460702i | 0.662266 | + | 0.0610214i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.44949 | + | 9.43879i | 0.709463 | + | 1.22883i | 0.965057 | + | 0.262042i | \(0.0843958\pi\) |
−0.255593 | + | 0.966784i | \(0.582271\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.50000 | − | 2.59808i | 0.192055 | − | 0.332650i | −0.753876 | − | 0.657017i | \(-0.771818\pi\) |
0.945931 | + | 0.324367i | \(0.105151\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.82577 | − | 3.30518i | 0.356013 | − | 0.416414i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.62372 | − | 9.74058i | −0.687047 | − | 1.19000i | −0.972789 | − | 0.231694i | \(-0.925573\pi\) |
0.285741 | − | 0.958307i | \(-0.407760\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.84847 | + | 4.01229i | 0.222530 | + | 0.483023i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.79796 | −1.16280 | −0.581402 | − | 0.813617i | \(-0.697496\pi\) | ||||
−0.581402 | + | 0.813617i | \(0.697496\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.79796 | −0.678600 | −0.339300 | − | 0.940678i | \(-0.610190\pi\) | ||||
−0.339300 | + | 0.940678i | \(0.610190\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.00000 | + | 1.41421i | −0.115470 | + | 0.163299i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.44949 | + | 2.51059i | −0.163080 | + | 0.282463i | −0.935972 | − | 0.352075i | \(-0.885476\pi\) |
0.772892 | + | 0.634538i | \(0.218810\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.39898 | + | 3.23375i | 0.933220 | + | 0.359306i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.275255 | − | 0.476756i | 0.0302132 | − | 0.0523308i | −0.850523 | − | 0.525937i | \(-0.823715\pi\) |
0.880737 | + | 0.473606i | \(0.157048\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.00000 | − | 1.73205i | −0.108465 | − | 0.187867i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −7.89898 | + | 11.1708i | −0.846859 | + | 1.19764i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −16.7980 | −1.78058 | −0.890290 | − | 0.455394i | \(-0.849498\pi\) | ||||
−0.890290 | + | 0.455394i | \(0.849498\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.89898 | − | 17.1455i | −0.819086 | − | 1.77791i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.44949 | + | 2.51059i | 0.148715 | + | 0.257581i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.00000 | + | 1.73205i | −0.101535 | + | 0.175863i | −0.912317 | − | 0.409484i | \(-0.865709\pi\) |
0.810782 | + | 0.585348i | \(0.199042\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.00000 | − | 1.73205i | 0.0995037 | − | 0.172345i | −0.811976 | − | 0.583691i | \(-0.801608\pi\) |
0.911479 | + | 0.411346i | \(0.134941\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.00000 | − | 8.66025i | −0.492665 | − | 0.853320i | 0.507300 | − | 0.861770i | \(-0.330644\pi\) |
−0.999964 | + | 0.00844953i | \(0.997310\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.50000 | + | 0.230351i | 0.243975 | + | 0.0224799i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.34847 | 0.227035 | 0.113518 | − | 0.993536i | \(-0.463788\pi\) | ||||
0.113518 | + | 0.993536i | \(0.463788\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.79796 | 0.842692 | 0.421346 | − | 0.906900i | \(-0.361558\pi\) | ||||
0.421346 | + | 0.906900i | \(0.361558\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.3485 | − | 0.953512i | −0.982233 | − | 0.0905033i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.89898 | − | 8.48528i | −0.460857 | − | 0.798228i | 0.538147 | − | 0.842851i | \(-0.319125\pi\) |
−0.999004 | + | 0.0446231i | \(0.985791\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.27526 | + | 2.20881i | −0.118918 | + | 0.205972i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.44949 | + | 2.51059i | −0.132875 | + | 0.230145i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.50000 | + | 9.52628i | 0.500000 | + | 0.866025i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.0732141 | + | 0.158919i | 0.00660149 | + | 0.0143292i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.3485 | −1.27322 | −0.636610 | − | 0.771186i | \(-0.719664\pi\) | ||||
−0.636610 | + | 0.771186i | \(0.719664\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 7.79796 | − | 11.0280i | 0.686572 | − | 0.970959i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.44949 | + | 5.97469i | 0.301383 | + | 0.522011i | 0.976450 | − | 0.215746i | \(-0.0692183\pi\) |
−0.675066 | + | 0.737757i | \(0.735885\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.10102 | − | 3.63907i | 0.182182 | − | 0.315548i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.27526 | + | 5.03723i | 0.109756 | + | 0.433536i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.79796 | − | 16.9706i | 0.837096 | − | 1.44989i | −0.0552162 | − | 0.998474i | \(-0.517585\pi\) |
0.892312 | − | 0.451419i | \(-0.149082\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.79796 | + | 16.9706i | 0.831052 | + | 1.43942i | 0.897205 | + | 0.441615i | \(0.145594\pi\) |
−0.0661527 | + | 0.997810i | \(0.521072\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.55051 | − | 6.43539i | 0.383222 | − | 0.541958i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.89898 | −0.655975 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.55051 | + | 7.70674i | 0.292841 | + | 0.635641i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.5000 | + | 18.1865i | 0.860194 | + | 1.48990i | 0.871742 | + | 0.489966i | \(0.162991\pi\) |
−0.0115483 | + | 0.999933i | \(0.503676\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.00000 | + | 10.3923i | −0.488273 | + | 0.845714i | −0.999909 | − | 0.0134886i | \(-0.995706\pi\) |
0.511636 | + | 0.859202i | \(0.329040\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.89898 | − | 1.09638i | −0.476904 | − | 0.0886368i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.44949 | − | 9.43879i | 0.437714 | − | 0.758142i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.10102 | + | 3.63907i | 0.167680 | + | 0.290430i | 0.937604 | − | 0.347706i | \(-0.113039\pi\) |
−0.769924 | + | 0.638136i | \(0.779706\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −20.3485 | − | 1.87492i | −1.61374 | − | 0.148690i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.69694 | 0.291360 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.7980 | 0.924087 | 0.462044 | − | 0.886857i | \(-0.347116\pi\) | ||||
0.462044 | + | 0.886857i | \(0.347116\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.17423 | + | 5.49794i | 0.245630 | + | 0.425443i | 0.962308 | − | 0.271960i | \(-0.0876720\pi\) |
−0.716679 | + | 0.697403i | \(0.754339\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.50000 | − | 11.2583i | 0.500000 | − | 0.866025i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.55051 | + | 1.58919i | 0.653874 | + | 0.121528i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.00000 | − | 10.3923i | 0.456172 | − | 0.790112i | −0.542583 | − | 0.840002i | \(-0.682554\pi\) |
0.998755 | + | 0.0498898i | \(0.0158870\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.724745 | + | 1.25529i | 0.0547856 | + | 0.0948914i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 7.89898 | + | 17.1455i | 0.593724 | + | 1.28874i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.79796 | 0.433360 | 0.216680 | − | 0.976243i | \(-0.430477\pi\) | ||||
0.216680 | + | 0.976243i | \(0.430477\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.6969 | 1.46406 | 0.732031 | − | 0.681271i | \(-0.238573\pi\) | ||||
0.732031 | + | 0.681271i | \(0.238573\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.00000 | − | 4.24264i | 0.221766 | − | 0.313625i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.00000 | − | 5.19615i | −0.220564 | − | 0.382029i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.39898 | − | 5.25153i | 0.392718 | − | 0.381993i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.55051 | − | 4.41761i | 0.184548 | − | 0.319647i | −0.758876 | − | 0.651235i | \(-0.774251\pi\) |
0.943424 | + | 0.331588i | \(0.107584\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8990 | + | 18.8776i | 0.784526 | + | 1.35884i | 0.929282 | + | 0.369371i | \(0.120427\pi\) |
−0.144756 | + | 0.989467i | \(0.546240\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 23.5959 | 1.68114 | 0.840570 | − | 0.541703i | \(-0.182220\pi\) | ||||
0.840570 | + | 0.541703i | \(0.182220\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.1010 | 0.928707 | 0.464353 | − | 0.885650i | \(-0.346287\pi\) | ||||
0.464353 | + | 0.885650i | \(0.346287\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.15153 | − | 17.6937i | −0.574965 | − | 1.24802i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.72474 | + | 9.91555i | 0.401798 | + | 0.695935i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0505103 | + | 0.0874863i | −0.00352779 | + | 0.00611031i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.55051 | + | 7.21393i | 0.177273 | + | 0.501403i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.00000 | − | 10.3923i | −0.413057 | − | 0.715436i | 0.582165 | − | 0.813070i | \(-0.302206\pi\) |
−0.995222 | + | 0.0976347i | \(0.968872\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −16.8990 | − | 1.55708i | −1.15790 | − | 0.106689i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.79796 | 0.531816 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.7980 | −1.07244 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.0000 | − | 0.921404i | −0.675737 | − | 0.0622627i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.275255 | + | 0.476756i | −0.0184324 | + | 0.0319259i | −0.875094 | − | 0.483952i | \(-0.839201\pi\) |
0.856662 | + | 0.515878i | \(0.172534\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.94949 | + | 2.28024i | −0.129966 | + | 0.152016i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.8990 | − | 24.0737i | 0.922508 | − | 1.59783i | 0.126986 | − | 0.991904i | \(-0.459470\pi\) |
0.795521 | − | 0.605926i | \(-0.207197\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.94949 | + | 12.0369i | 0.459235 | + | 0.795419i | 0.998921 | − | 0.0464480i | \(-0.0147902\pi\) |
−0.539686 | + | 0.841867i | \(0.681457\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.202041 | −0.0132361 | −0.00661807 | − | 0.999978i | \(-0.502107\pi\) | ||||
−0.00661807 | + | 0.999978i | \(0.502107\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.55051 | 0.296843 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.89898 | + | 4.09978i | −0.188309 | + | 0.266309i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.8990 | − | 18.8776i | −0.704996 | − | 1.22109i | −0.966693 | − | 0.255939i | \(-0.917615\pi\) |
0.261696 | − | 0.965150i | \(-0.415718\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.8485 | + | 22.2542i | −0.827643 | + | 1.43352i | 0.0722401 | + | 0.997387i | \(0.476985\pi\) |
−0.899883 | + | 0.436132i | \(0.856348\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 13.9722 | + | 6.91215i | 0.896317 | + | 0.443415i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.44949 | + | 4.24264i | −0.156492 | + | 0.271052i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.550510 | − | 0.778539i | 0.0348872 | − | 0.0493379i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.89898 | −0.435460 | −0.217730 | − | 0.976009i | \(-0.569865\pi\) | ||||
−0.217730 | + | 0.976009i | \(0.569865\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.44949 | − | 3.14626i | −0.0907706 | − | 0.197027i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.10102 | − | 7.10318i | −0.255815 | − | 0.443084i | 0.709302 | − | 0.704905i | \(-0.249010\pi\) |
−0.965116 | + | 0.261821i | \(0.915677\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.34847 | + | 7.53177i | −0.270201 | + | 0.468001i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −15.3990 | + | 18.0116i | −0.953173 | + | 1.11489i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.00000 | + | 15.5885i | −0.554964 | + | 0.961225i | 0.442943 | + | 0.896550i | \(0.353935\pi\) |
−0.997906 | + | 0.0646755i | \(0.979399\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.89898 | − | 10.2173i | −0.362371 | − | 0.627646i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −28.9722 | − | 2.66951i | −1.77307 | − | 0.163371i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −16.5959 | −1.01187 | −0.505935 | − | 0.862571i | \(-0.668853\pi\) | ||||
−0.505935 | + | 0.862571i | \(0.668853\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 21.1010 | 1.28180 | 0.640898 | − | 0.767626i | \(-0.278562\pi\) | ||||
0.640898 | + | 0.767626i | \(0.278562\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.00000 | − | 12.1244i | 0.420589 | − | 0.728482i | −0.575408 | − | 0.817867i | \(-0.695157\pi\) |
0.995997 | + | 0.0893846i | \(0.0284900\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −10.8990 | − | 30.8270i | −0.652505 | − | 1.84556i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.94949 | − | 15.5010i | 0.533882 | − | 0.924710i | −0.465335 | − | 0.885135i | \(-0.654066\pi\) |
0.999217 | − | 0.0395756i | \(-0.0126006\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.17423 | + | 15.8902i | 0.545352 | + | 0.944577i | 0.998585 | + | 0.0531847i | \(0.0169372\pi\) |
−0.453233 | + | 0.891392i | \(0.649729\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.10102 | + | 4.56048i | 0.124454 | + | 0.270139i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.146428 | 0.00864338 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0000 | −0.764706 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.00000 | + | 2.82843i | −0.117242 | + | 0.165805i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 10.7980 | + | 18.7026i | 0.630823 | + | 1.09262i | 0.987384 | + | 0.158346i | \(0.0506161\pi\) |
−0.356560 | + | 0.934272i | \(0.616051\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.44949 | + | 9.43879i | −0.317282 | + | 0.549548i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.65153 | − | 9.78874i | −0.325749 | − | 0.564214i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.00000 | − | 2.82843i | 0.114897 | − | 0.162489i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.00000 | 0.171780 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −29.2474 | −1.66924 | −0.834620 | − | 0.550826i | \(-0.814313\pi\) | ||||
−0.834620 | + | 0.550826i | \(0.814313\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.24745 | − | 15.7313i | −0.412293 | − | 0.894924i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.44949 | − | 2.51059i | −0.0821930 | − | 0.142362i | 0.821999 | − | 0.569489i | \(-0.192859\pi\) |
−0.904192 | + | 0.427127i | \(0.859526\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.7980 | + | 20.4347i | −0.666860 | + | 1.15504i | 0.311917 | + | 0.950109i | \(0.399029\pi\) |
−0.978777 | + | 0.204926i | \(0.934305\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.27526 | + | 0.794593i | 0.240883 | + | 0.0447703i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.10102 | − | 5.37113i | 0.174171 | − | 0.301672i | −0.765703 | − | 0.643194i | \(-0.777609\pi\) |
0.939874 | + | 0.341522i | \(0.110942\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.05051 | + | 0.373215i | 0.226077 | + | 0.0208309i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.79796 | −0.322607 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 15.1742 | + | 1.39816i | 0.839137 | + | 0.0773184i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −3.29796 | − | 5.71223i | −0.181822 | − | 0.314926i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.44949 | + | 2.51059i | −0.0796712 | + | 0.137994i | −0.903108 | − | 0.429413i | \(-0.858720\pi\) |
0.823437 | + | 0.567408i | \(0.192054\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −17.6969 | − | 3.28913i | −0.969786 | − | 0.180243i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.62372 | − | 9.74058i | 0.307257 | − | 0.532185i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.10102 | + | 8.83523i | 0.277870 | + | 0.481285i | 0.970855 | − | 0.239667i | \(-0.0770381\pi\) |
−0.692985 | + | 0.720952i | \(0.743705\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −7.10102 | − | 15.4135i | −0.385674 | − | 0.837146i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.2474 | 0.931275 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.55051 | + | 3.60697i | −0.137315 | + | 0.194193i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.79796 | − | 11.7744i | −0.364934 | − | 0.632083i | 0.623832 | − | 0.781559i | \(-0.285575\pi\) |
−0.988765 | + | 0.149475i | \(0.952242\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.8485 | − | 27.4504i | 0.848349 | − | 1.46938i | −0.0343315 | − | 0.999410i | \(-0.510930\pi\) |
0.882681 | − | 0.469973i | \(-0.155736\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.89898 | − | 8.48528i | −0.260011 | − | 0.450352i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.89898 | + | 4.09978i | −0.153430 | + | 0.216983i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.696938 | −0.0367830 | −0.0183915 | − | 0.999831i | \(-0.505855\pi\) | ||||
−0.0183915 | + | 0.999831i | \(0.505855\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.5959 | −0.557680 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 7.97219 | + | 17.3045i | 0.418432 | + | 0.908248i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.89898 | − | 5.02118i | −0.151740 | − | 0.262821i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.0000 | + | 19.0526i | −0.574195 | + | 0.994535i | 0.421933 | + | 0.906627i | \(0.361352\pi\) |
−0.996129 | + | 0.0879086i | \(0.971982\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.101021 | + | 0.285729i | 0.00525892 | + | 0.0148745i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.55051 | + | 14.8099i | −0.443920 | + | 0.768893i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.79796 | + | 15.2385i | 0.455541 | + | 0.789020i | 0.998719 | − | 0.0505973i | \(-0.0161125\pi\) |
−0.543178 | + | 0.839618i | \(0.682779\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.72474 | − | 0.158919i | −0.0890654 | − | 0.00820652i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.1010 | 0.878420 | 0.439210 | − | 0.898384i | \(-0.355258\pi\) | ||||
0.439210 | + | 0.898384i | \(0.355258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −24.7474 | − | 2.28024i | −1.26785 | − | 0.116820i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.00000 | − | 1.73205i | −0.0510976 | − | 0.0885037i | 0.839345 | − | 0.543599i | \(-0.182939\pi\) |
−0.890443 | + | 0.455095i | \(0.849605\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 15.2020 | − | 17.7812i | 0.772763 | − | 0.903870i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −11.2980 | + | 19.5686i | −0.572829 | + | 0.992169i | 0.423444 | + | 0.905922i | \(0.360821\pi\) |
−0.996274 | + | 0.0862473i | \(0.972512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.55051 | − | 4.41761i | −0.128985 | − | 0.223408i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.00000 | + | 10.8530i | 0.252217 | + | 0.547462i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.89898 | −0.145863 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.0000 | −1.10415 | −0.552074 | − | 0.833795i | \(-0.686163\pi\) | ||||
−0.552074 | + | 0.833795i | \(0.686163\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.20204 | − | 5.94258i | 0.210365 | − | 0.297501i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.79796 | + | 11.7744i | 0.339474 | + | 0.587986i | 0.984334 | − | 0.176315i | \(-0.0564177\pi\) |
−0.644860 | + | 0.764301i | \(0.723084\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.39898 | + | 8.89060i | 0.0695158 | + | 0.441778i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.7980 | − | 25.6308i | −0.731712 | − | 1.26736i | −0.956151 | − | 0.292874i | \(-0.905388\pi\) |
0.224439 | − | 0.974488i | \(-0.427945\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 19.5959 | − | 27.7128i | 0.966595 | − | 1.36697i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 15.7980 | 0.777367 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.550510 | 0.0270235 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 14.2020 | + | 30.8270i | 0.695477 | + | 1.50960i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −10.0000 | − | 17.3205i | −0.488532 | − | 0.846162i | 0.511381 | − | 0.859354i | \(-0.329134\pi\) |
−0.999913 | + | 0.0131919i | \(0.995801\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.79796 | − | 11.7744i | 0.331312 | − | 0.573850i | −0.651457 | − | 0.758685i | \(-0.725842\pi\) |
0.982769 | + | 0.184836i | \(0.0591753\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 8.87117 | − | 10.3763i | 0.431331 | − | 0.504511i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.00000 | − | 1.73205i | 0.0485071 | − | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.17423 | − | 3.76588i | −0.105219 | − | 0.182244i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.10102 | 0.245708 | 0.122854 | − | 0.992425i | \(-0.460795\pi\) | ||||
0.122854 | + | 0.992425i | \(0.460795\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.79796 | 0.374746 | 0.187373 | − | 0.982289i | \(-0.440003\pi\) | ||||
0.187373 | + | 0.982289i | \(0.440003\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −13.6237 | − | 1.25529i | −0.653208 | − | 0.0601868i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.69694 | + | 6.40329i | 0.176849 | + | 0.306311i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.898979 | + | 1.55708i | −0.0429059 | + | 0.0743153i | −0.886681 | − | 0.462382i | \(-0.846995\pi\) |
0.843775 | + | 0.536697i | \(0.180328\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.89898 | + | 13.8564i | 0.233285 | + | 0.659829i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −13.0732 | + | 22.6435i | −0.621127 | + | 1.07582i | 0.368149 | + | 0.929767i | \(0.379992\pi\) |
−0.989276 | + | 0.146057i | \(0.953342\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.39898 | − | 14.5475i | −0.398150 | − | 0.689616i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.2196 | + | 33.0358i | 0.719864 | + | 1.56254i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17.5959 | −0.830403 | −0.415201 | − | 0.909730i | \(-0.636289\pi\) | ||||
−0.415201 | + | 0.909730i | \(0.636289\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −12.0000 | + | 16.9706i | −0.563809 | + | 0.797347i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.7980 | − | 18.7026i | 0.505107 | − | 0.874871i | −0.494875 | − | 0.868964i | \(-0.664786\pi\) |
0.999983 | − | 0.00590738i | \(-0.00188039\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −10.0000 | − | 2.82843i | −0.466760 | − | 0.132020i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.9495 | + | 18.9651i | −0.509969 | + | 0.883291i | 0.489965 | + | 0.871742i | \(0.337010\pi\) |
−0.999933 | + | 0.0115492i | \(0.996324\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.8990 | − | 27.5378i | −0.738888 | − | 1.27979i | −0.952996 | − | 0.302982i | \(-0.902018\pi\) |
0.214108 | − | 0.976810i | \(-0.431316\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 10.8990 | − | 15.4135i | 0.505428 | − | 0.714783i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −11.7980 | −0.545944 | −0.272972 | − | 0.962022i | \(-0.588007\pi\) | ||||
−0.272972 | + | 0.962022i | \(0.588007\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −16.3031 | −0.752805 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.04541 | + | 6.61037i | 0.140325 | + | 0.304590i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.44949 | + | 2.51059i | −0.0665072 | + | 0.115194i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −34.7980 | − | 6.46750i | −1.59329 | − | 0.296127i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 9.24745 | − | 16.0171i | 0.422527 | − | 0.731838i | −0.573659 | − | 0.819094i | \(-0.694477\pi\) |
0.996186 | + | 0.0872564i | \(0.0278099\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.37628 | + | 0.587512i | 0.290131 | + | 0.0267327i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.00000 | −0.0908153 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 25.5959 | 1.15986 | 0.579931 | − | 0.814666i | \(-0.303080\pi\) | ||||
0.579931 | + | 0.814666i | \(0.303080\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 20.3485 | + | 1.87492i | 0.920190 | + | 0.0847866i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.89898 | − | 5.02118i | −0.130829 | − | 0.226603i | 0.793167 | − | 0.609004i | \(-0.208431\pi\) |
−0.923996 | + | 0.382401i | \(0.875097\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.89898 | − | 13.6814i | 0.355752 | − | 0.616181i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −7.10102 | + | 12.2993i | −0.318524 | + | 0.551700i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.0000 | + | 24.2487i | 0.626726 | + | 1.08552i | 0.988204 | + | 0.153141i | \(0.0489388\pi\) |
−0.361478 | + | 0.932381i | \(0.617728\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.60102 | + | 9.98698i | 0.205558 | + | 0.446185i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −19.0454 | −0.849193 | −0.424596 | − | 0.905383i | \(-0.639584\pi\) | ||||
−0.424596 | + | 0.905383i | \(0.639584\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.00000 | 0.0889988 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 13.0000 | − | 18.3848i | 0.577350 | − | 0.816497i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.94949 | + | 12.0369i | 0.308031 | + | 0.533525i | 0.977931 | − | 0.208926i | \(-0.0669967\pi\) |
−0.669901 | + | 0.742451i | \(0.733663\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.20204 | + | 7.27815i | −0.185887 | + | 0.321966i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 14.4949 | + | 4.09978i | 0.639965 | + | 0.181010i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.00000 | − | 8.66025i | 0.220326 | − | 0.381616i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 12.0000 | − | 16.9706i | 0.526742 | − | 0.744925i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 28.7980 | 1.26166 | 0.630831 | − | 0.775920i | \(-0.282714\pi\) | ||||
0.630831 | + | 0.775920i | \(0.282714\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.6515 | −0.859301 | −0.429651 | − | 0.902995i | \(-0.641363\pi\) | ||||
−0.429651 | + | 0.902995i | \(0.641363\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.05051 | + | 2.28024i | 0.0458480 | + | 0.0995178i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 10.8990 | + | 18.8776i | 0.474767 | + | 0.822321i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.24745 | − | 14.2850i | 0.358585 | − | 0.621087i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.8990 | + | 30.8270i | 0.472975 | + | 1.33778i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.17423 | + | 2.03383i | 0.0507666 | + | 0.0879303i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.0000 | + | 0.921404i | 0.431532 | + | 0.0397615i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.8990 | 0.941511 | 0.470755 | − | 0.882264i | \(-0.343981\pi\) | ||||
0.470755 | + | 0.882264i | \(0.343981\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 33.9722 | + | 3.13021i | 1.45789 | + | 0.134330i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.39898 | + | 7.61926i | 0.188432 | + | 0.326373i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.6237 | − | 35.7213i | 0.881807 | − | 1.52733i | 0.0324764 | − | 0.999473i | \(-0.489661\pi\) |
0.849330 | − | 0.527862i | \(-0.177006\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.84847 | − | 6.84072i | 0.249607 | − | 0.291955i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.4495 | + | 19.8311i | −0.487765 | + | 0.844833i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.10102 | + | 3.63907i | 0.0893445 | + | 0.154749i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −4.34847 | − | 9.43879i | −0.184582 | − | 0.400654i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 24.2020 | 1.02547 | 0.512737 | − | 0.858546i | \(-0.328632\pi\) | ||||
0.512737 | + | 0.858546i | \(0.328632\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.17423 | − | 3.76588i | −0.0916331 | − | 0.158713i | 0.816565 | − | 0.577253i | \(-0.195875\pi\) |
−0.908198 | + | 0.418540i | \(0.862542\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.89898 | − | 8.48528i | 0.206102 | − | 0.356978i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.1464 | − | 8.19955i | 0.426110 | − | 0.344349i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.00000 | + | 8.66025i | −0.209611 | + | 0.363057i | −0.951592 | − | 0.307364i | \(-0.900553\pi\) |
0.741981 | + | 0.670421i | \(0.233886\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.10102 | − | 5.37113i | −0.129774 | − | 0.224775i | 0.793815 | − | 0.608159i | \(-0.208092\pi\) |
−0.923589 | + | 0.383385i | \(0.874758\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.10102 | − | 7.21393i | 0.213098 | − | 0.301366i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.55051 | −0.106364 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.0000 | −1.08239 | −0.541197 | − | 0.840896i | \(-0.682029\pi\) | ||||
−0.541197 | + | 0.840896i | \(0.682029\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 15.7980 | + | 34.2911i | 0.656541 | + | 1.42509i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.398979 | − | 0.691053i | −0.0165525 | − | 0.0286697i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −11.1742 | + | 19.3543i | −0.461210 | + | 0.798839i | −0.999022 | − | 0.0442259i | \(-0.985918\pi\) |
0.537812 | + | 0.843065i | \(0.319251\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.7980 | − | 27.3629i | −0.650944 | − | 1.12747i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 40.6969 | + | 3.74983i | 1.67405 | + | 0.154247i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 27.3939 | 1.12493 | 0.562466 | − | 0.826821i | \(-0.309853\pi\) | ||||
0.562466 | + | 0.826821i | \(0.309853\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.89898 | −0.118847 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 22.5959 | + | 2.08200i | 0.924789 | + | 0.0852104i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.34847 | − | 4.06767i | −0.0959559 | − | 0.166200i | 0.814051 | − | 0.580793i | \(-0.197257\pi\) |
−0.910007 | + | 0.414593i | \(0.863924\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.00000 | + | 12.1244i | −0.285536 | + | 0.494563i | −0.972739 | − | 0.231903i | \(-0.925505\pi\) |
0.687203 | + | 0.726465i | \(0.258838\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −11.2474 | − | 31.8126i | −0.458032 | − | 1.29551i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.50000 | + | 9.52628i | −0.223607 | + | 0.387298i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.0732 | + | 27.8396i | 0.652392 | + | 1.12998i | 0.982541 | + | 0.186047i | \(0.0595676\pi\) |
−0.330149 | + | 0.943929i | \(0.607099\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.29796 | + | 18.0116i | 0.336250 | + | 0.729865i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.59592 | 0.387575 | 0.193788 | − | 0.981043i | \(-0.437923\pi\) | ||||
0.193788 | + | 0.981043i | \(0.437923\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.101021 | + | 0.142865i | −0.00407354 | + | 0.00576086i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −21.5959 | − | 37.4052i | −0.869419 | − | 1.50588i | −0.862592 | − | 0.505901i | \(-0.831160\pi\) |
−0.00682740 | − | 0.999977i | \(-0.502173\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.34847 | + | 4.06767i | −0.0943929 | + | 0.163493i | −0.909355 | − | 0.416021i | \(-0.863424\pi\) |
0.814962 | + | 0.579514i | \(0.196758\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.25255 | + | 12.8475i | 0.130520 | + | 0.515553i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.1742 | + | 21.0864i | −0.487750 | + | 0.844808i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 12.0000 | 0.478471 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.5959 | 0.939339 | 0.469669 | − | 0.882842i | \(-0.344373\pi\) | ||||
0.469669 | + | 0.882842i | \(0.344373\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.69694 | − | 18.8776i | −0.345672 | − | 0.750317i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −7.17423 | − | 12.4261i | −0.284701 | − | 0.493116i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −28.8990 | − | 5.37113i | −1.14323 | − | 0.212478i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.05051 | − | 3.55159i | 0.0809903 | − | 0.140279i | −0.822685 | − | 0.568497i | \(-0.807525\pi\) |
0.903676 | + | 0.428218i | \(0.140858\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.07321 | − | 12.2512i | −0.278940 | − | 0.483139i | 0.692181 | − | 0.721724i | \(-0.256650\pi\) |
−0.971122 | + | 0.238585i | \(0.923317\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13.4495 | + | 1.23924i | 0.529573 | + | 0.0487951i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 11.4495 | 0.450126 | 0.225063 | − | 0.974344i | \(-0.427741\pi\) | ||||
0.225063 | + | 0.974344i | \(0.427741\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −27.2474 | − | 2.51059i | −1.06791 | − | 0.0983978i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −4.10102 | − | 7.10318i | −0.160485 | − | 0.277969i | 0.774558 | − | 0.632503i | \(-0.217973\pi\) |
−0.935043 | + | 0.354535i | \(0.884639\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.44949 | + | 5.97469i | −0.134783 | + | 0.233451i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −17.1010 | − | 3.17837i | −0.667174 | − | 0.124000i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.8990 | + | 25.8058i | −0.580382 | + | 1.00525i | 0.415052 | + | 0.909798i | \(0.363763\pi\) |
−0.995434 | + | 0.0954532i | \(0.969570\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.00000 | − | 8.66025i | −0.194477 | − | 0.336845i | 0.752252 | − | 0.658876i | \(-0.228968\pi\) |
−0.946729 | + | 0.322031i | \(0.895634\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.20204 | 0.162948 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −20.1464 | −0.780073 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.550510 | + | 0.778539i | −0.0212840 | + | 0.0301001i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.00000 | − | 13.8564i | 0.308377 | − | 0.534125i | −0.669630 | − | 0.742695i | \(-0.733547\pi\) |
0.978008 | + | 0.208569i | \(0.0668807\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.72474 | + | 3.62302i | −0.143365 | + | 0.139450i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.8990 | + | 29.2699i | −0.649481 | + | 1.12493i | 0.333767 | + | 0.942656i | \(0.391680\pi\) |
−0.983247 | + | 0.182278i | \(0.941653\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.44949 | + | 2.51059i | 0.0556263 | + | 0.0963476i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 27.7980 | − | 39.3123i | 1.06522 | − | 1.50645i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −35.3939 | −1.35431 | −0.677155 | − | 0.735841i | \(-0.736787\pi\) | ||||
−0.677155 | + | 0.735841i | \(0.736787\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 19.5959 | 0.748722 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.0732 | + | 21.8649i | 0.384317 | + | 0.834199i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.5505 | + | 25.2022i | −0.553527 | + | 0.958738i | 0.444489 | + | 0.895784i | \(0.353385\pi\) |
−0.998016 | + | 0.0629534i | \(0.979948\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.79796 | + | 16.9706i | −0.371658 | + | 0.643730i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.101021 | − | 0.174973i | −0.00382642 | − | 0.00662756i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.348469 | − | 0.0321081i | −0.0131803 | − | 0.00121444i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −28.3939 | −1.07242 | −0.536211 | − | 0.844084i | \(-0.680145\pi\) | ||||
−0.536211 | + | 0.844084i | \(0.680145\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.3939 | −0.656022 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 7.84847 | + | 0.723161i | 0.295590 | + | 0.0272358i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.44949 | − | 2.51059i | −0.0545137 | − | 0.0944205i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.84847 | − | 17.0580i | 0.369867 | − | 0.640628i | −0.619677 | − | 0.784857i | \(-0.712737\pi\) |
0.989544 | + | 0.144228i | \(0.0460699\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.65153 | + | 6.61037i | −0.211949 | + | 0.247908i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 13.8990 | − | 24.0737i | 0.520521 | − | 0.901569i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −15.7980 | − | 34.2911i | −0.589986 | − | 1.28062i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 40.2929 | 1.50267 | 0.751335 | − | 0.659921i | \(-0.229410\pi\) | ||||
0.751335 | + | 0.659921i | \(0.229410\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.4949 | −0.539818 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −25.6969 | + | 36.3410i | −0.955679 | + | 1.35153i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.94949 | − | 6.84072i | −0.146680 | − | 0.254058i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.37628 | − | 5.84788i | 0.125219 | − | 0.216886i | −0.796599 | − | 0.604508i | \(-0.793370\pi\) |
0.921819 | + | 0.387622i | \(0.126703\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.0000 | + | 14.1421i | 0.851852 | + | 0.523783i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.79796 | + | 13.5065i | −0.288418 | + | 0.499555i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.79796 | − | 8.31031i | −0.177217 | − | 0.306948i | 0.763710 | − | 0.645560i | \(-0.223376\pi\) |
−0.940926 | + | 0.338612i | \(0.890043\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.89898 | + | 6.92820i | −0.180702 | + | 0.255551i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −42.8990 | −1.57806 | −0.789032 | − | 0.614352i | \(-0.789418\pi\) | ||||
−0.789032 | + | 0.614352i | \(0.789418\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −18.5227 | − | 32.0823i | −0.679532 | − | 1.17698i | −0.975122 | − | 0.221669i | \(-0.928849\pi\) |
0.295590 | − | 0.955315i | \(-0.404484\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.5000 | + | 18.1865i | −0.384690 | + | 0.666303i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.07321 | − | 1.25529i | 0.0392669 | − | 0.0459288i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.70204 | − | 2.94802i | 0.0621912 | − | 0.107718i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −22.8990 | − | 39.6622i | −0.835596 | − | 1.44729i | −0.893545 | − | 0.448975i | \(-0.851789\pi\) |
0.0579489 | − | 0.998320i | \(-0.481544\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.8990 | − | 1.09638i | −0.433623 | − | 0.0399542i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −12.0000 | −0.436725 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.59592 | −0.276078 | −0.138039 | − | 0.990427i | \(-0.544080\pi\) | ||||
−0.138039 | + | 0.990427i | \(0.544080\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −17.5000 | − | 30.3109i | −0.634375 | − | 1.09877i | −0.986647 | − | 0.162872i | \(-0.947924\pi\) |
0.352273 | − | 0.935897i | \(-0.385409\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.37628 | − | 11.0440i | 0.230837 | − | 0.399821i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.00000 | − | 5.65685i | −0.0723102 | − | 0.204524i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.3990 | + | 21.4757i | 0.447119 | + | 0.774432i | 0.998197 | − | 0.0600212i | \(-0.0191168\pi\) |
−0.551078 | + | 0.834453i | \(0.685784\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.94439 | − | 12.9029i | −0.214082 | − | 0.464686i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 25.7980 | 0.927888 | 0.463944 | − | 0.885865i | \(-0.346434\pi\) | ||||
0.463944 | + | 0.885865i | \(0.346434\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.8990 | 0.391503 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −8.69694 | + | 12.2993i | −0.312001 | + | 0.441236i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.146428 | + | 0.253621i | 0.00524633 | + | 0.00908692i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −29.4217 | + | 28.6182i | −1.05145 | + | 1.02273i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.10102 | + | 3.63907i | −0.0749886 | + | 0.129884i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.20204 | + | 9.01020i | 0.185433 | + | 0.321179i | 0.943722 | − | 0.330739i | \(-0.107298\pi\) |
−0.758290 | + | 0.651918i | \(0.773965\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −18.0000 | + | 25.4558i | −0.640817 | + | 0.906252i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.2020 | −0.504966 | ||||||||
\(792\) | 0 | 0 |