Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(101,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.x (of order \(6\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.22581504.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 4x^{7} + 5x^{6} + 2x^{5} - 11x^{4} + 4x^{3} + 20x^{2} - 32x + 16 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Root | \(1.20036 - 0.747754i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 260.121 |
Dual form | 260.2.x.a.101.1 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.41342 | + | 2.44811i | −0.816038 | + | 1.41342i | 0.0925423 | + | 0.995709i | \(0.470501\pi\) |
−0.908580 | + | 0.417710i | \(0.862833\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.81414 | + | 1.04739i | −0.685680 | + | 0.395878i | −0.801992 | − | 0.597335i | \(-0.796226\pi\) |
0.116312 | + | 0.993213i | \(0.462893\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.49551 | − | 4.32235i | −0.831836 | − | 1.44078i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.50000 | + | 0.866025i | 0.452267 | + | 0.261116i | 0.708787 | − | 0.705422i | \(-0.249243\pi\) |
−0.256520 | + | 0.966539i | \(0.582576\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.59030 | − | 0.331331i | −0.995769 | − | 0.0918946i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.44811 | − | 1.41342i | −0.632100 | − | 0.364943i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.81414 | − | 3.14218i | −0.439993 | − | 0.762091i | 0.557695 | − | 0.830046i | \(-0.311686\pi\) |
−0.997688 | + | 0.0679550i | \(0.978353\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.926118 | − | 0.534695i | 0.212466 | − | 0.122667i | −0.389991 | − | 0.920819i | \(-0.627522\pi\) |
0.602457 | + | 0.798151i | \(0.294189\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 5.92163i | − | 1.29220i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.90893 | + | 6.77046i | −0.815068 | + | 1.41174i | 0.0942118 | + | 0.995552i | \(0.469967\pi\) |
−0.909279 | + | 0.416186i | \(0.863366\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.62828 | 1.08316 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.263457 | − | 0.456321i | 0.0489227 | − | 0.0847366i | −0.840527 | − | 0.541770i | \(-0.817755\pi\) |
0.889450 | + | 0.457033i | \(0.151088\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.84325i | 1.04948i | 0.851263 | + | 0.524740i | \(0.175837\pi\) | ||||
−0.851263 | + | 0.524740i | \(0.824163\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.24026 | + | 2.44811i | −0.738134 | + | 0.426162i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.04739 | − | 1.81414i | −0.177042 | − | 0.306646i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.44242 | + | 4.87423i | 1.38792 | + | 0.801319i | 0.993081 | − | 0.117429i | \(-0.0374654\pi\) |
0.394844 | + | 0.918748i | \(0.370799\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.88573 | − | 8.32114i | 0.942471 | − | 1.33245i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.69615 | − | 2.13397i | −0.577242 | − | 0.333271i | 0.182795 | − | 0.983151i | \(-0.441486\pi\) |
−0.760037 | + | 0.649880i | \(0.774819\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.67238 | + | 8.09281i | 0.712532 | + | 1.23414i | 0.963904 | + | 0.266251i | \(0.0857849\pi\) |
−0.251372 | + | 0.967891i | \(0.580882\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.32235 | − | 2.49551i | 0.644337 | − | 0.372008i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 3.46410i | − | 0.505291i | −0.967559 | − | 0.252646i | \(-0.918699\pi\) | ||
0.967559 | − | 0.252646i | \(-0.0813007\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.30593 | + | 2.26194i | −0.186562 | + | 0.323134i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 10.2566 | 1.43621 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.5939 | 1.72990 | 0.864952 | − | 0.501854i | \(-0.167349\pi\) | ||||
0.864952 | + | 0.501854i | \(0.167349\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.866025 | + | 1.50000i | −0.116775 | + | 0.202260i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.02299i | 0.400405i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.21564 | + | 0.701848i | −0.158262 | + | 0.0913729i | −0.577040 | − | 0.816716i | \(-0.695792\pi\) |
0.418777 | + | 0.908089i | \(0.362459\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.55440 | + | 9.62050i | 0.711168 | + | 1.23178i | 0.964419 | + | 0.264378i | \(0.0851667\pi\) |
−0.253251 | + | 0.967400i | \(0.581500\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 9.05440 | + | 5.22756i | 1.14075 | + | 0.658610i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.331331 | − | 3.59030i | 0.0410965 | − | 0.445321i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.38201 | − | 5.41671i | −1.14620 | − | 0.661756i | −0.198238 | − | 0.980154i | \(-0.563522\pi\) |
−0.947957 | + | 0.318398i | \(0.896855\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −11.0499 | − | 19.1390i | −1.33025 | − | 2.30406i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.2709 | + | 7.08460i | −1.45629 | + | 0.840787i | −0.998826 | − | 0.0484428i | \(-0.984574\pi\) |
−0.457460 | + | 0.889230i | \(0.651241\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.64469i | 0.309538i | 0.987951 | + | 0.154769i | \(0.0494633\pi\) | ||||
−0.987951 | + | 0.154769i | \(0.950537\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.41342 | − | 2.44811i | 0.163208 | − | 0.282684i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.62828 | −0.413481 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.5729 | 1.52707 | 0.763535 | − | 0.645766i | \(-0.223462\pi\) | ||||
0.763535 | + | 0.645766i | \(0.223462\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.468594 | + | 0.811629i | −0.0520660 | + | 0.0901809i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 15.7925i | − | 1.73345i | −0.498789 | − | 0.866724i | \(-0.666222\pi\) | ||
0.498789 | − | 0.866724i | \(-0.333778\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.14218 | − | 1.81414i | 0.340817 | − | 0.196771i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.744750 | + | 1.28994i | 0.0798456 | + | 0.138297i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.78436 | − | 2.76225i | −0.507141 | − | 0.292798i | 0.224516 | − | 0.974470i | \(-0.427920\pi\) |
−0.731658 | + | 0.681672i | \(0.761253\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.86033 | − | 3.15937i | 0.719158 | − | 0.331192i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −14.3049 | − | 8.25896i | −1.48335 | − | 0.856415i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.534695 | + | 0.926118i | 0.0548585 | + | 0.0950177i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.1589 | + | 7.59730i | −1.33608 | + | 0.771389i | −0.986224 | − | 0.165413i | \(-0.947104\pi\) |
−0.349860 | + | 0.936802i | \(0.613771\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 8.64469i | − | 0.868824i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.83133 | + | 3.17196i | −0.182224 | + | 0.315622i | −0.942638 | − | 0.333818i | \(-0.891663\pi\) |
0.760413 | + | 0.649439i | \(0.224996\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.7804 | 1.35783 | 0.678914 | − | 0.734218i | \(-0.262451\pi\) | ||||
0.678914 | + | 0.734218i | \(0.262451\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.92163 | 0.577892 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.61856 | + | 2.80342i | −0.156472 | + | 0.271017i | −0.933594 | − | 0.358333i | \(-0.883345\pi\) |
0.777122 | + | 0.629350i | \(0.216679\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.12979i | 0.874476i | 0.899346 | + | 0.437238i | \(0.144043\pi\) | ||||
−0.899346 | + | 0.437238i | \(0.855957\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −23.8654 | + | 13.7787i | −2.26520 | + | 1.30781i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.47680 | + | 9.48610i | 0.515214 | + | 0.892377i | 0.999844 | + | 0.0176577i | \(0.00562092\pi\) |
−0.484630 | + | 0.874719i | \(0.661046\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.77046 | − | 3.90893i | −0.631349 | − | 0.364509i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.52748 | + | 16.3453i | 0.695916 | + | 1.51113i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 6.58220 | + | 3.80024i | 0.603390 | + | 0.348367i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.00000 | − | 6.92820i | −0.363636 | − | 0.629837i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 10.4484 | − | 6.03240i | 0.942103 | − | 0.543923i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.453810 | − | 0.786022i | 0.0402691 | − | 0.0697482i | −0.845188 | − | 0.534469i | \(-0.820512\pi\) |
0.885458 | + | 0.464720i | \(0.153845\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −26.4161 | −2.32581 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.1626 | −1.15002 | −0.575012 | − | 0.818145i | \(-0.695003\pi\) | ||||
−0.575012 | + | 0.818145i | \(0.695003\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.12007 | + | 1.94002i | −0.0971225 | + | 0.168221i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.62828i | 0.484405i | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.4484 | − | 6.03240i | 0.892669 | − | 0.515383i | 0.0178546 | − | 0.999841i | \(-0.494316\pi\) |
0.874815 | + | 0.484458i | \(0.160983\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.80593 | + | 4.86002i | 0.237996 | + | 0.412221i | 0.960139 | − | 0.279522i | \(-0.0901761\pi\) |
−0.722143 | + | 0.691744i | \(0.756843\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.48052 | + | 4.89623i | 0.714188 | + | 0.412337i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.09850 | − | 3.60628i | −0.426358 | − | 0.301573i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.456321 | + | 0.263457i | 0.0378954 | + | 0.0218789i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.69166 | − | 6.39414i | −0.304483 | − | 0.527380i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.1767 | − | 10.4943i | 1.48909 | − | 0.859727i | 0.489168 | − | 0.872189i | \(-0.337300\pi\) |
0.999922 | + | 0.0124625i | \(0.00396705\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 6.99102i | − | 0.568921i | −0.958688 | − | 0.284460i | \(-0.908186\pi\) | ||
0.958688 | − | 0.284460i | \(-0.0918144\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.05440 | + | 15.6827i | −0.732005 | + | 1.26787i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.84325 | −0.469341 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.74761 | 0.299092 | 0.149546 | − | 0.988755i | \(-0.452219\pi\) | ||||
0.149546 | + | 0.988755i | \(0.452219\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −17.8005 | + | 30.8313i | −1.41167 | + | 2.44508i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 16.3767i | − | 1.29067i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.52377 | + | 3.18915i | −0.432655 | + | 0.249793i | −0.700477 | − | 0.713675i | \(-0.747029\pi\) |
0.267822 | + | 0.963468i | \(0.413696\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.44811 | − | 4.24026i | −0.190585 | − | 0.330104i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.4484 | − | 7.76445i | −1.04067 | − | 0.600831i | −0.120647 | − | 0.992695i | \(-0.538497\pi\) |
−0.920023 | + | 0.391864i | \(0.871830\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.7804 | + | 2.37915i | 0.983111 | + | 0.183012i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.62227 | − | 2.66867i | −0.353474 | − | 0.204078i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.38802 | − | 4.13617i | −0.181558 | − | 0.314467i | 0.760853 | − | 0.648924i | \(-0.224781\pi\) |
−0.942411 | + | 0.334456i | \(0.891447\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.81414 | − | 1.04739i | 0.137136 | − | 0.0791755i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 3.96802i | − | 0.298255i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.85134 | − | 13.5989i | 0.586837 | − | 1.01643i | −0.407807 | − | 0.913068i | \(-0.633706\pi\) |
0.994644 | − | 0.103363i | \(-0.0329604\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.8851 | 0.809080 | 0.404540 | − | 0.914520i | \(-0.367432\pi\) | ||||
0.404540 | + | 0.914520i | \(0.367432\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −31.4028 | −2.32136 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.87423 | + | 8.44242i | −0.358361 | + | 0.620699i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 6.28436i | − | 0.459558i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −10.2105 | + | 5.89502i | −0.742703 | + | 0.428800i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.97909 | + | 5.15994i | 0.215560 | + | 0.373360i | 0.953446 | − | 0.301565i | \(-0.0975091\pi\) |
−0.737886 | + | 0.674925i | \(0.764176\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.0587 | + | 6.38473i | 0.796021 | + | 0.459583i | 0.842078 | − | 0.539356i | \(-0.181332\pi\) |
−0.0460568 | + | 0.998939i | \(0.514666\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 8.32114 | + | 5.88573i | 0.595889 | + | 0.421486i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −13.9499 | − | 8.05397i | −0.993888 | − | 0.573822i | −0.0874540 | − | 0.996169i | \(-0.527873\pi\) |
−0.906434 | + | 0.422347i | \(0.861206\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.26403 | − | 7.38551i | −0.302269 | − | 0.523545i | 0.674381 | − | 0.738384i | \(-0.264411\pi\) |
−0.976650 | + | 0.214839i | \(0.931077\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 26.5214 | − | 15.3122i | 1.87068 | − | 1.08004i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.10377i | 0.0774696i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.13397 | − | 3.69615i | 0.149043 | − | 0.258150i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 39.0190 | 2.71201 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.85224 | 0.128122 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.09030 | − | 3.62050i | 0.143902 | − | 0.249245i | −0.785061 | − | 0.619419i | \(-0.787368\pi\) |
0.928963 | + | 0.370173i | \(0.120702\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 40.0540i | − | 2.74446i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.09281 | + | 4.67238i | −0.551925 | + | 0.318654i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.12019 | − | 10.6005i | −0.415465 | − | 0.719607i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.47451 | − | 3.73806i | −0.437507 | − | 0.252595i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.47219 | + | 11.8824i | 0.368100 | + | 0.799299i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.09249 | − | 5.24955i | −0.608878 | − | 0.351536i | 0.163648 | − | 0.986519i | \(-0.447674\pi\) |
−0.772526 | + | 0.634983i | \(0.781007\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.49551 | + | 4.32235i | 0.166367 | + | 0.288156i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.4977 | − | 7.79288i | 0.895872 | − | 0.517232i | 0.0200131 | − | 0.999800i | \(-0.493629\pi\) |
0.875858 | + | 0.482568i | \(0.160296\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.2714i | 1.27349i | 0.771074 | + | 0.636745i | \(0.219720\pi\) | ||||
−0.771074 | + | 0.636745i | \(0.780280\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.12828 | − | 8.88244i | 0.337416 | − | 0.584422i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.48794 | 0.162991 | 0.0814953 | − | 0.996674i | \(-0.474030\pi\) | ||||
0.0814953 | + | 0.996674i | \(0.474030\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.46410 | 0.225973 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −19.1842 | + | 33.2280i | −1.24615 | + | 2.15839i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 16.7775i | 1.08525i | 0.839976 | + | 0.542624i | \(0.182569\pi\) | ||||
−0.839976 | + | 0.542624i | \(0.817431\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 25.1835 | − | 14.5397i | 1.62221 | − | 0.936585i | 0.635887 | − | 0.771782i | \(-0.280634\pi\) |
0.986326 | − | 0.164803i | \(-0.0526990\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.11778 | + | 12.3284i | 0.456606 | + | 0.790864i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.26194 | − | 1.30593i | −0.144510 | − | 0.0834330i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.50220 | + | 1.61286i | −0.222840 | + | 0.102624i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 38.6617 | + | 22.3214i | 2.45009 | + | 1.41456i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.56040 | + | 16.5591i | 0.603447 | + | 1.04520i | 0.992295 | + | 0.123899i | \(0.0395400\pi\) |
−0.388847 | + | 0.921302i | \(0.627127\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.7268 | + | 6.77046i | −0.737256 | + | 0.425655i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 10.2566i | 0.642291i | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.85453 | − | 11.8724i | 0.427574 | − | 0.740580i | −0.569083 | − | 0.822280i | \(-0.692702\pi\) |
0.996657 | + | 0.0817004i | \(0.0260351\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −20.4210 | −1.26890 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.62983 | −0.162783 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.95675 | − | 10.3174i | 0.367309 | − | 0.636197i | −0.621835 | − | 0.783148i | \(-0.713613\pi\) |
0.989144 | + | 0.146951i | \(0.0469459\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.5939i | 0.773637i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 13.5246 | − | 7.80844i | 0.827693 | − | 0.477869i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.4656 | + | 18.1270i | 0.638100 | + | 1.10522i | 0.985849 | + | 0.167634i | \(0.0536127\pi\) |
−0.347749 | + | 0.937588i | \(0.613054\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.69014 | + | 0.975805i | 0.102669 | + | 0.0592760i | 0.550455 | − | 0.834865i | \(-0.314454\pi\) |
−0.447786 | + | 0.894141i | \(0.647787\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.96202 | + | 21.2604i | −0.118747 | + | 1.28674i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.50000 | − | 0.866025i | −0.0904534 | − | 0.0522233i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.24026 | + | 10.8084i | 0.374941 | + | 0.649416i | 0.990318 | − | 0.138816i | \(-0.0443297\pi\) |
−0.615377 | + | 0.788233i | \(0.710996\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 25.2566 | − | 14.5819i | 1.51207 | − | 0.872994i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 2.29553i | − | 0.136940i | −0.997653 | − | 0.0684698i | \(-0.978188\pi\) | ||
0.997653 | − | 0.0684698i | \(-0.0218117\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.46484 | − | 12.9295i | 0.443739 | − | 0.768578i | −0.554225 | − | 0.832367i | \(-0.686985\pi\) |
0.997963 | + | 0.0637892i | \(0.0203185\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.02299 | −0.179067 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 8.94045 | 0.527738 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.91780 | − | 3.32172i | 0.112812 | − | 0.195395i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 42.9527i | − | 2.51793i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.24026 | − | 0.716063i | 0.0724566 | − | 0.0418329i | −0.463334 | − | 0.886184i | \(-0.653347\pi\) |
0.535791 | + | 0.844351i | \(0.320014\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.701848 | − | 1.21564i | −0.0408632 | − | 0.0707771i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.44242 | + | 4.87423i | 0.489879 | + | 0.282832i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 16.2775 | − | 23.0128i | 0.941350 | − | 1.33086i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −16.9527 | − | 9.78765i | −0.977138 | − | 0.564151i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.17688 | − | 8.96661i | −0.297404 | − | 0.515118i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.62050 | + | 5.55440i | −0.550868 | + | 0.318044i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.3833i | 0.992118i | 0.868289 | + | 0.496059i | \(0.165220\pi\) | ||||
−0.868289 | + | 0.496059i | \(0.834780\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −19.4775 | + | 33.7361i | −1.10804 | + | 1.91918i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −20.2164 | −1.14637 | −0.573185 | − | 0.819426i | \(-0.694292\pi\) | ||||
−0.573185 | + | 0.819426i | \(0.694292\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.86425 | −0.274944 | −0.137472 | − | 0.990506i | \(-0.543898\pi\) | ||||
−0.137472 | + | 0.990506i | \(0.543898\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.22756 | + | 9.05440i | −0.294540 | + | 0.510157i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 23.6177i | − | 1.32650i | −0.748396 | − | 0.663252i | \(-0.769176\pi\) | ||
0.748396 | − | 0.663252i | \(-0.230824\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.790371 | − | 0.456321i | 0.0442523 | − | 0.0255491i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.57540 | − | 7.92482i | −0.255374 | − | 0.442320i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.36022 | − | 1.94002i | −0.186967 | − | 0.107946i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.59030 | + | 0.331331i | 0.199154 | + | 0.0183789i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −22.3508 | − | 12.9042i | −1.23600 | − | 0.713605i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.62828 | + | 6.28436i | 0.200033 | + | 0.346468i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.8863 | + | 7.43991i | −0.708295 | + | 0.408934i | −0.810429 | − | 0.585836i | \(-0.800766\pi\) |
0.102134 | + | 0.994771i | \(0.467433\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 48.6547i | − | 2.66626i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.41671 | − | 9.38201i | 0.295946 | − | 0.512594i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −29.1906 | −1.59012 | −0.795058 | − | 0.606534i | \(-0.792559\pi\) | ||||
−0.795058 | + | 0.606534i | \(0.792559\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −30.9641 | −1.68174 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.06040 | + | 8.76488i | −0.274036 | + | 0.474645i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 20.1348i | − | 1.08718i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 19.1390 | − | 11.0499i | 1.03041 | − | 0.594907i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.1125 | + | 20.9795i | 0.650234 | + | 1.12624i | 0.983066 | + | 0.183252i | \(0.0586623\pi\) |
−0.332833 | + | 0.942986i | \(0.608004\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.1557 | − | 6.44076i | −0.597152 | − | 0.344766i | 0.170768 | − | 0.985311i | \(-0.445375\pi\) |
−0.767920 | + | 0.640545i | \(0.778708\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −20.2072 | − | 1.86482i | −1.07858 | − | 0.0995368i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 14.0441 | + | 8.10837i | 0.747492 | + | 0.431565i | 0.824787 | − | 0.565443i | \(-0.191295\pi\) |
−0.0772948 | + | 0.997008i | \(0.524628\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.08460 | − | 12.2709i | −0.376011 | − | 0.651271i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −18.6068 | + | 10.7427i | −0.984777 | + | 0.568562i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.19261i | 0.485167i | 0.970131 | + | 0.242584i | \(0.0779949\pi\) | ||||
−0.970131 | + | 0.242584i | \(0.922005\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.92820 | + | 15.4641i | −0.469905 | + | 0.813900i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 22.6147 | 1.18696 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.64469 | −0.138430 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.30066 | − | 3.98486i | 0.120094 | − | 0.208008i | −0.799711 | − | 0.600385i | \(-0.795014\pi\) |
0.919804 | + | 0.392377i | \(0.128347\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 21.3014i | 1.10891i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −22.8471 | + | 13.1908i | −1.18616 | + | 0.684831i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.2463 | + | 17.7471i | 0.530532 | + | 0.918908i | 0.999365 | + | 0.0356212i | \(0.0113410\pi\) |
−0.468834 | + | 0.883286i | \(0.655326\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.44811 | + | 1.41342i | 0.126420 | + | 0.0729887i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.09708 | + | 1.55103i | −0.0565025 | + | 0.0798823i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.95307 | + | 4.01436i | 0.357155 | + | 0.206204i | 0.667832 | − | 0.744312i | \(-0.267222\pi\) |
−0.310677 | + | 0.950516i | \(0.600556\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.28285 | + | 2.22196i | 0.0657223 | + | 0.113834i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −26.1041 | + | 15.0712i | −1.33386 | + | 0.770104i | −0.985889 | − | 0.167401i | \(-0.946462\pi\) |
−0.347971 | + | 0.937505i | \(0.613129\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | − | 3.62828i | − | 0.184914i | ||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 23.3199 | − | 40.3913i | 1.18542 | − | 2.05321i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −35.8264 | −1.81647 | −0.908236 | − | 0.418459i | \(-0.862570\pi\) | ||||
−0.908236 | + | 0.418459i | \(0.862570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 28.3654 | 1.43450 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.6043 | − | 32.2236i | 0.938463 | − | 1.62547i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.5729i | 0.682926i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.3221 | + | 7.69152i | −0.668617 | + | 0.386026i | −0.795552 | − | 0.605885i | \(-0.792819\pi\) |
0.126935 | + | 0.991911i | \(0.459486\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.16626 | − | 5.48413i | −0.158511 | − | 0.274550i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −8.46704 | − | 4.88845i | −0.422824 | − | 0.244117i | 0.273461 | − | 0.961883i | \(-0.411832\pi\) |
−0.696285 | + | 0.717766i | \(0.745165\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.93605 | − | 20.9790i | 0.0964415 | − | 1.04504i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.811629 | − | 0.468594i | −0.0403301 | − | 0.0232846i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.44242 | + | 14.6227i | 0.418475 | + | 0.724820i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.871721 | − | 0.503289i | 0.0431039 | − | 0.0248860i | −0.478293 | − | 0.878200i | \(-0.658744\pi\) |
0.521397 | + | 0.853314i | \(0.325411\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 34.1052i | 1.68229i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.47022 | − | 2.54650i | 0.0723450 | − | 0.125305i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.7925 | 0.775221 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −15.8638 | −0.776855 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.85134 | + | 8.40278i | −0.237004 | + | 0.410502i | −0.959853 | − | 0.280503i | \(-0.909499\pi\) |
0.722849 | + | 0.691006i | \(0.242832\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.2955i | 0.696721i | 0.937361 | + | 0.348361i | \(0.113262\pi\) | ||||
−0.937361 | + | 0.348361i | \(0.886738\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −14.9730 | + | 8.64469i | −0.728014 | + | 0.420319i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.81414 | + | 3.14218i | 0.0879987 | + | 0.152418i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −20.1529 | − | 11.6353i | −0.975267 | − | 0.563071i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 16.0349 | − | 7.38452i | 0.774173 | − | 0.356528i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.5197 | + | 6.07357i | 0.506718 | + | 0.292554i | 0.731483 | − | 0.681859i | \(-0.238828\pi\) |
−0.224766 | + | 0.974413i | \(0.572162\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.104510 | − | 0.181016i | −0.00502242 | − | 0.00869909i | 0.863503 | − | 0.504343i | \(-0.168265\pi\) |
−0.868526 | + | 0.495644i | \(0.834932\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.28994 | + | 0.744750i | −0.0618481 | + | 0.0357080i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.36033i | 0.399929i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.8603 | + | 24.0068i | −0.661517 | + | 1.14578i | 0.318700 | + | 0.947856i | \(0.396754\pi\) |
−0.980217 | + | 0.197926i | \(0.936579\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 13.0359 | 0.620755 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −7.98798 | −0.379521 | −0.189760 | − | 0.981830i | \(-0.560771\pi\) | ||||
−0.189760 | + | 0.981830i | \(0.560771\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.76225 | − | 4.78436i | 0.130943 | − | 0.226801i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 59.3314i | 2.80628i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.17667 | − | 3.56610i | 0.291495 | − | 0.168295i | −0.347121 | − | 0.937820i | \(-0.612841\pi\) |
0.638616 | + | 0.769526i | \(0.279507\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.69615 | − | 6.40192i | −0.174045 | − | 0.301455i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 17.1148 | + | 9.88124i | 0.804124 | + | 0.464261i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.15937 | + | 6.86033i | 0.148114 | + | 0.321617i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.4364 | − | 15.8404i | −1.28342 | − | 0.740984i | −0.305949 | − | 0.952048i | \(-0.598974\pi\) |
−0.977472 | + | 0.211064i | \(0.932307\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −10.2105 | − | 17.6851i | −0.476584 | − | 0.825468i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.2649 | + | 5.92643i | −0.478083 | + | 0.276021i | −0.719617 | − | 0.694371i | \(-0.755683\pi\) |
0.241534 | + | 0.970392i | \(0.422349\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 12.7655i | − | 0.593263i | −0.954992 | − | 0.296632i | \(-0.904137\pi\) | ||
0.954992 | − | 0.296632i | \(-0.0958633\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.25896 | − | 14.3049i | 0.383000 | − | 0.663376i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 31.3402 | 1.45025 | 0.725125 | − | 0.688617i | \(-0.241782\pi\) | ||||
0.725125 | + | 0.688617i | \(0.241782\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 22.6937 | 1.04790 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.29695 | + | 9.17458i | −0.244070 | + | 0.422742i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 16.1856i | 0.744215i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.926118 | + | 0.534695i | −0.0424932 | + | 0.0245335i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −31.4282 | − | 54.4352i | −1.43900 | − | 2.49242i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 13.9656 | + | 8.06303i | 0.638103 | + | 0.368409i | 0.783884 | − | 0.620908i | \(-0.213236\pi\) |
−0.145780 | + | 0.989317i | \(0.546569\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −28.6958 | − | 20.2972i | −1.30842 | − | 0.925471i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 40.0921 | + | 23.1472i | 1.82426 | + | 1.05323i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.59730 | − | 13.1589i | −0.344976 | − | 0.597515i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.84109 | + | 2.79501i | −0.219371 | + | 0.126654i | −0.605659 | − | 0.795724i | \(-0.707090\pi\) |
0.386288 | + | 0.922378i | \(0.373757\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 18.0304i | − | 0.815364i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.14772 | + | 15.8443i | −0.412831 | + | 0.715044i | −0.995198 | − | 0.0978817i | \(-0.968793\pi\) |
0.582367 | + | 0.812926i | \(0.302127\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.91179 | −0.0861027 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.64469 | 0.388550 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 14.8407 | − | 25.7049i | 0.665698 | − | 1.15302i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.553868i | 0.0247945i | 0.999923 | + | 0.0123973i | \(0.00394627\pi\) | ||||
−0.999923 | + | 0.0123973i | \(0.996054\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 38.0165 | − | 21.9489i | 1.69845 | − | 0.980602i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.34162 | − | 12.7161i | −0.327347 | − | 0.566981i | 0.654638 | − | 0.755943i | \(-0.272821\pi\) |
−0.981984 | + | 0.188962i | \(0.939488\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.17196 | − | 1.83133i | −0.141150 | − | 0.0814931i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −23.8886 | + | 27.9252i | −1.06093 | + | 1.24020i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 5.99545 | + | 3.46148i | 0.265744 | + | 0.153427i | 0.626952 | − | 0.779058i | \(-0.284302\pi\) |
−0.361208 | + | 0.932485i | \(0.617636\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.77003 | − | 4.79784i | −0.122539 | − | 0.212244i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.21245 | − | 3.00941i | 0.230135 | − | 0.132869i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.7804i | 0.607239i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.00000 | − | 5.19615i | 0.131940 | − | 0.228527i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.5011 | 0.592632 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.3551 | −0.804152 | −0.402076 | − | 0.915606i | \(-0.631711\pi\) | ||||
−0.402076 | + | 0.915606i | \(0.631711\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.13563 | − | 15.8234i | 0.399473 | − | 0.691908i | −0.594188 | − | 0.804326i | \(-0.702526\pi\) |
0.993661 | + | 0.112418i | \(0.0358597\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.92163i | 0.258441i | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 18.3606 | − | 10.6005i | 0.799798 | − | 0.461764i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.0594 | − | 33.0119i | −0.828670 | − | 1.43530i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.06726 | + | 3.50294i | 0.263297 | + | 0.152014i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.5632 | + | 8.88625i | 0.544174 | + | 0.384906i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.80342 | − | 1.61856i | −0.121202 | − | 0.0699763i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 22.1945 | + | 38.4420i | 0.957763 | + | 1.65889i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.91780 | + | 2.26194i | −0.168751 | + | 0.0974287i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 31.8881i | − | 1.37098i | −0.728084 | − | 0.685488i | \(-0.759589\pi\) | ||
0.728084 | − | 0.685488i | \(-0.240411\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −15.3852 | + | 26.6479i | −0.660240 | + | 1.14357i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −9.12979 | −0.391077 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 44.7966 | 1.91537 | 0.957683 | − | 0.287826i | \(-0.0929325\pi\) | ||||
0.957683 | + | 0.287826i | \(0.0929325\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 27.7221 | − | 48.0161i | 1.18315 | − | 2.04928i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 0.563476i | − | 0.0240049i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.6231 | + | 14.2162i | −1.04708 | + | 0.604533i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.7787 | − | 23.8654i | −0.584872 | − | 1.01303i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.7820 | + | 13.1532i | 0.965306 | + | 0.557319i | 0.897802 | − | 0.440400i | \(-0.145163\pi\) |
0.0675037 | + | 0.997719i | \(0.478497\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −14.0938 | − | 30.6037i | −0.596106 | − | 1.29440i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 15.3848 | + | 8.88244i | 0.649548 | + | 0.375017i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.89492 | − | 5.01415i | −0.122006 | − | 0.211321i | 0.798552 | − | 0.601925i | \(-0.205599\pi\) |
−0.920559 | + | 0.390604i | \(0.872266\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.48610 | + | 5.47680i | −0.399083 | + | 0.230411i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − | 1.96321i | − | 0.0824471i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 11.8184 | − | 20.4700i | 0.495452 | − | 0.858149i | −0.504534 | − | 0.863392i | \(-0.668336\pi\) |
0.999986 | + | 0.00524320i | \(0.00166897\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.4641 | −0.479758 | −0.239879 | − | 0.970803i | \(-0.577108\pi\) | ||||
−0.239879 | + | 0.970803i | \(0.577108\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.8428 | −0.703620 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.90893 | − | 6.77046i | 0.163014 | − | 0.282348i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 34.2415i | 1.42549i | 0.701422 | + | 0.712746i | \(0.252549\pi\) | ||||
−0.701422 | + | 0.712746i | \(0.747451\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −31.2611 | + | 18.0486i | −1.29917 | + | 0.750074i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 16.5409 | + | 28.6497i | 0.686233 | + | 1.18859i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.8908 | + | 10.9066i | 0.782379 | + | 0.451707i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −16.3453 | + | 7.52748i | −0.675797 | + | 0.311223i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.88091 | − | 2.81800i | −0.201457 | − | 0.116311i | 0.395878 | − | 0.918303i | \(-0.370440\pi\) |
−0.597335 | + | 0.801992i | \(0.703774\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.12436 | + | 5.41154i | 0.128737 | + | 0.222979i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 39.4341 | − | 22.7673i | 1.62210 | − | 0.936521i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.3014i | 0.628353i | 0.949365 | + | 0.314177i | \(0.101728\pi\) | ||||
−0.949365 | + | 0.314177i | \(0.898272\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.80024 | + | 6.58220i | −0.155795 | + | 0.269844i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 24.1074 | 0.986651 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 9.82414 | 0.401404 | 0.200702 | − | 0.979652i | \(-0.435678\pi\) | ||||
0.200702 | + | 0.979652i | \(0.435678\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23.0945 | − | 40.0008i | 0.942043 | − | 1.63167i | 0.180476 | − | 0.983579i | \(-0.442236\pi\) |
0.761566 | − | 0.648087i | \(-0.224431\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 54.0697i | 2.20189i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 6.92820 | − | 4.00000i | 0.281672 | − | 0.162623i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.3482 | − | 21.3877i | −0.501198 | − | 0.868100i | −0.999999 | − | 0.00138384i | \(-0.999560\pi\) |
0.498801 | − | 0.866716i | \(-0.333774\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.70216 | − | 1.56009i | −0.109497 | − | 0.0632182i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.14776 | + | 12.4371i | −0.0464335 | + | 0.503153i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.4155 | − | 8.32277i | −0.582235 | − | 0.336154i | 0.179786 | − | 0.983706i | \(-0.442459\pi\) |
−0.762021 | + | 0.647552i | \(0.775793\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 6.03240 | + | 10.4484i | 0.243250 | + | 0.421321i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.39918 | + | 0.807820i | −0.0563291 | + | 0.0325216i | −0.527900 | − | 0.849307i | \(-0.677020\pi\) |
0.471571 | + | 0.881828i | \(0.343687\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 23.3922i | − | 0.940213i | −0.882610 | − | 0.470106i | \(-0.844216\pi\) | ||
0.882610 | − | 0.470106i | \(-0.155784\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −22.0005 | + | 38.1060i | −0.882851 | + | 1.52914i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 11.5727 | 0.463649 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −2.61799 | + | 4.53449i | −0.104552 | + | 0.181090i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 35.3701i | − | 1.41030i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.77458 | − | 1.60190i | 0.110454 | − | 0.0637708i | −0.443755 | − | 0.896148i | \(-0.646354\pi\) |
0.554209 | + | 0.832377i | \(0.313021\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.90893 | + | 10.2346i | 0.234859 | + | 0.406787i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.786022 | + | 0.453810i | 0.0311923 | + | 0.0180089i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.43813 | − | 7.68834i | 0.215467 | − | 0.304623i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 61.2442 | + | 35.3593i | 2.42278 | + | 1.39879i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.98794 | − | 17.2996i | −0.394500 | − | 0.683294i | 0.598537 | − | 0.801095i | \(-0.295749\pi\) |
−0.993037 | + | 0.117801i | \(0.962416\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −24.7136 | + | 14.2684i | −0.974607 | + | 0.562690i | −0.900638 | − | 0.434571i | \(-0.856900\pi\) |
−0.0739696 | + | 0.997260i | \(0.523567\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 26.4161i | − | 1.04013i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 3.04325 | − | 5.27107i | 0.119643 | − | 0.207227i | −0.799983 | − | 0.600022i | \(-0.795158\pi\) |
0.919626 | + | 0.392795i | \(0.128492\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.43127 | −0.0954359 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 34.6016 | 1.35614 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.81499 | + | 17.0001i | −0.384090 | + | 0.665264i | −0.991643 | − | 0.129016i | \(-0.958818\pi\) |
0.607552 | + | 0.794280i | \(0.292152\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 13.1626i | − | 0.514306i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.4313 | − | 6.59985i | 0.445976 | − | 0.257485i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.79752 | + | 16.9698i | 0.381657 | + | 0.661049i | 0.991299 | − | 0.131627i | \(-0.0420202\pi\) |
−0.609642 | + | 0.792677i | \(0.708687\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.0735 | + | 17.3630i | 1.16972 | + | 0.675341i | 0.953615 | − | 0.301029i | \(-0.0973300\pi\) |
0.216109 | + | 0.976369i | \(0.430663\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −36.8241 | − | 3.39831i | −1.43013 | − | 0.131980i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.94002 | − | 1.12007i | −0.0752308 | − | 0.0434345i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.05967 | + | 3.56745i | 0.0797506 | + | 0.138132i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 25.7030 | − | 14.8396i | 0.993736 | − | 0.573734i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 19.2410i | 0.742790i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.0051 | + | 29.4538i | −0.655500 | + | 1.13536i | 0.326268 | + | 0.945277i | \(0.394209\pi\) |
−0.981768 | + | 0.190082i | \(0.939125\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.62828 | −0.216633 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 29.9209 | 1.14995 | 0.574977 | − | 0.818169i | \(-0.305011\pi\) | ||||
0.574977 | + | 0.818169i | \(0.305011\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.9147 | − | 27.5651i | 0.610751 | − | 1.05785i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 44.0584i | 1.68832i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 24.1251 | − | 13.9286i | 0.923121 | − | 0.532964i | 0.0384916 | − | 0.999259i | \(-0.487745\pi\) |
0.884629 | + | 0.466295i | \(0.154411\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.03240 | + | 10.4484i | 0.230486 | + | 0.399214i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −47.1786 | − | 27.2386i | −1.79998 | − | 1.03922i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −45.2158 | − | 4.17274i | −1.72258 | − | 0.158969i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 31.4550 | + | 18.1606i | 1.19661 | + | 0.690860i | 0.959797 | − | 0.280696i | \(-0.0905652\pi\) |
0.236809 | + | 0.971556i | \(0.423899\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 9.05440 | + | 15.6827i | 0.343948 | + | 0.595736i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.86002 | + | 2.80593i | −0.184351 | + | 0.106435i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.4853i | 0.586548i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.51651 | + | 6.09077i | −0.133007 | + | 0.230374i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.16156 | 0.0816411 | 0.0408206 | − | 0.999166i | \(-0.487003\pi\) | ||||
0.0408206 | + | 0.999166i | \(0.487003\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.4249 | 0.393183 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.89623 | + | 8.48052i | −0.184403 | + | 0.319395i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − | 7.67250i | − | 0.288554i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −41.2371 | + | 23.8082i | −1.54869 | + | 0.894137i | −0.550449 | + | 0.834869i | \(0.685543\pi\) |
−0.998242 | + | 0.0592680i | \(0.981123\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −33.8713 | − | 58.6668i | −1.27027 | − | 2.20018i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −39.5615 | − | 22.8408i | −1.48159 | − | 0.855396i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.60628 | − | 5.09850i | 0.134867 | − | 0.190673i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −41.0733 | − | 23.7137i | −1.53391 | − | 0.885603i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −10.1469 | − | 17.5749i | −0.378414 | − | 0.655433i | 0.612417 | − | 0.790535i | \(-0.290197\pi\) |
−0.990832 | + | 0.135102i | \(0.956864\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −24.9996 | + | 14.4335i | −0.931035 | + | 0.537533i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 82.2029i | 3.05716i | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.263457 | + | 0.456321i | −0.00978454 | + | 0.0169473i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.0681 | 0.410494 | 0.205247 | − | 0.978710i | \(-0.434200\pi\) | ||||
0.205247 | + | 0.978710i | \(0.434200\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.0532 | −1.59456 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 16.9527 | − | 29.3630i | 0.627019 | − | 1.08603i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.4002i | 0.864304i | 0.901801 | + | 0.432152i | \(0.142246\pi\) | ||||
−0.901801 | + | 0.432152i | \(0.857754\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.39414 | − | 3.69166i | 0.235852 | − | 0.136169i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.38201 | − | 16.2501i | −0.345591 | − | 0.598581i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.1617 | − | 12.7951i | −0.815232 | − | 0.470675i | 0.0335372 | − | 0.999437i | \(-0.489323\pi\) |
−0.848770 | + | 0.528763i | \(0.822656\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.00161 | − | 10.8534i | 0.0367951 | − | 0.398711i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.28694 | + | 4.20712i | 0.267332 | + | 0.154344i | 0.627675 | − | 0.778476i | \(-0.284007\pi\) |
−0.360343 | + | 0.932820i | \(0.617340\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.4943 | + | 18.1767i | 0.384482 | + | 0.665942i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −68.2605 | + | 39.4102i | −2.49752 | + | 1.44194i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 6.78106i | − | 0.247775i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.2595 | − | 35.0905i | 0.739279 | − | 1.28047i | −0.213541 | − | 0.976934i | \(-0.568500\pi\) |
0.952820 | − | 0.303535i | \(-0.0981671\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −54.0514 | −1.96974 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.99102 | 0.254429 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.67593 | − | 9.83100i | 0.206295 | − | 0.357314i | −0.744249 | − | 0.667902i | \(-0.767193\pi\) |
0.950545 | + | 0.310588i | \(0.100526\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 38.2780i | − | 1.38940i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.86364 | + | 3.38538i | −0.212557 | + | 0.122720i | −0.602499 | − | 0.798120i | \(-0.705828\pi\) |
0.389942 | + | 0.920839i | \(0.372495\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.56249 | − | 16.5627i | −0.346185 | − | 0.599611i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −15.6827 | − | 9.05440i | −0.567008 | − | 0.327362i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.59704 | − | 2.11707i | 0.165990 | − | 0.0764428i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.0563 | − | 11.5795i | −0.723250 | − | 0.417569i | 0.0926975 | − | 0.995694i | \(-0.470451\pi\) |
−0.815948 | + | 0.578126i | \(0.803784\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.3766 | + | 33.5613i | 0.697833 | + | 1.20868i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 36.3333 | − | 20.9770i | 1.30682 | − | 0.754491i | 0.325253 | − | 0.945627i | \(-0.394551\pi\) |
0.981564 | + | 0.191136i | \(0.0612172\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 5.84325i | − | 0.209896i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 28.8634 | − | 49.9928i | 1.03547 | − | 1.79348i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.56410 | −0.163526 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.5418 | −0.878174 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.48281 | − | 2.56830i | 0.0529913 | − | 0.0917835i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.74761i | 0.133758i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 32.4026 | − | 18.7076i | 1.15503 | − | 0.666856i | 0.204920 | − | 0.978779i | \(-0.434306\pi\) |
0.950107 | + | 0.311923i | \(0.100973\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 16.8388 | + | 29.1656i | 0.599476 | + | 1.03832i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −19.8714 | − | 11.4727i | −0.706544 | &m |