Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(64,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.c (of order \(2\), degree \(1\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} + 15x^{6} + 67x^{4} + 77x^{2} + 4 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 64.3 | ||
Root | \(-1.29051i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.64 |
Dual form | 273.2.c.c.64.6 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.29051i | − | 0.912531i | −0.889844 | − | 0.456266i | \(-0.849187\pi\) | ||
0.889844 | − | 0.456266i | \(-0.150813\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0.334573 | 0.167286 | ||||||||
\(5\) | 1.33457i | 0.596839i | 0.954435 | + | 0.298420i | \(0.0964595\pi\) | ||||
−0.954435 | + | 0.298420i | \(0.903541\pi\) | |||||||
\(6\) | 1.29051i | 0.526850i | ||||||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | − | 3.01280i | − | 1.06519i | ||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 1.72229 | 0.544634 | ||||||||
\(11\) | − | 4.88434i | − | 1.47268i | −0.676609 | − | 0.736342i | \(-0.736551\pi\) | ||
0.676609 | − | 0.736342i | \(-0.263449\pi\) | |||||||
\(12\) | −0.334573 | −0.0965829 | ||||||||
\(13\) | 3.59383 | + | 0.290514i | 0.996749 | + | 0.0805742i | ||||
\(14\) | −1.29051 | −0.344904 | ||||||||
\(15\) | − | 1.33457i | − | 0.344585i | ||||||
\(16\) | −3.21892 | −0.804729 | ||||||||
\(17\) | 4.58103 | 1.11106 | 0.555531 | − | 0.831496i | \(-0.312515\pi\) | ||||
0.555531 | + | 0.831496i | \(0.312515\pi\) | |||||||
\(18\) | − | 1.29051i | − | 0.304177i | ||||||
\(19\) | − | 2.96874i | − | 0.681076i | −0.940231 | − | 0.340538i | \(-0.889391\pi\) | ||
0.940231 | − | 0.340538i | \(-0.110609\pi\) | |||||||
\(20\) | 0.446512i | 0.0998431i | ||||||||
\(21\) | 1.00000i | 0.218218i | ||||||||
\(22\) | −6.30331 | −1.34387 | ||||||||
\(23\) | −6.13080 | −1.27836 | −0.639180 | − | 0.769057i | \(-0.720726\pi\) | ||||
−0.639180 | + | 0.769057i | \(0.720726\pi\) | |||||||
\(24\) | 3.01280i | 0.614985i | ||||||||
\(25\) | 3.21892 | 0.643783 | ||||||||
\(26\) | 0.374913 | − | 4.63789i | 0.0735265 | − | 0.909564i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | − | 0.334573i | − | 0.0632283i | ||||||
\(29\) | −7.63789 | −1.41832 | −0.709160 | − | 0.705048i | \(-0.750926\pi\) | ||||
−0.709160 | + | 0.705048i | \(0.750926\pi\) | |||||||
\(30\) | −1.72229 | −0.314445 | ||||||||
\(31\) | 5.63789i | 1.01259i | 0.862359 | + | 0.506297i | \(0.168986\pi\) | ||||
−0.862359 | + | 0.506297i | \(0.831014\pi\) | |||||||
\(32\) | − | 1.87154i | − | 0.330845i | ||||||
\(33\) | 4.88434i | 0.850255i | ||||||||
\(34\) | − | 5.91188i | − | 1.01388i | ||||||
\(35\) | 1.33457 | 0.225584 | ||||||||
\(36\) | 0.334573 | 0.0557621 | ||||||||
\(37\) | 9.76869i | 1.60596i | 0.596005 | + | 0.802981i | \(0.296754\pi\) | ||||
−0.596005 | + | 0.802981i | \(0.703246\pi\) | |||||||
\(38\) | −3.83120 | −0.621503 | ||||||||
\(39\) | −3.59383 | − | 0.290514i | −0.575473 | − | 0.0465195i | ||||
\(40\) | 4.02080 | 0.635744 | ||||||||
\(41\) | − | 3.69669i | − | 0.577325i | −0.957431 | − | 0.288663i | \(-0.906789\pi\) | ||
0.957431 | − | 0.288663i | \(-0.0932106\pi\) | |||||||
\(42\) | 1.29051 | 0.199131 | ||||||||
\(43\) | 9.63789 | 1.46976 | 0.734882 | − | 0.678195i | \(-0.237238\pi\) | ||||
0.734882 | + | 0.678195i | \(0.237238\pi\) | |||||||
\(44\) | − | 1.63417i | − | 0.246360i | ||||||
\(45\) | 1.33457i | 0.198946i | ||||||||
\(46\) | 7.91188i | 1.16654i | ||||||||
\(47\) | 5.27206i | 0.769008i | 0.923123 | + | 0.384504i | \(0.125628\pi\) | ||||
−0.923123 | + | 0.384504i | \(0.874372\pi\) | |||||||
\(48\) | 3.21892 | 0.464610 | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 4.15406i | − | 0.587472i | ||||||
\(51\) | −4.58103 | −0.641472 | ||||||||
\(52\) | 1.20240 | + | 0.0971982i | 0.166743 | + | 0.0134790i | ||||
\(53\) | 10.7374 | 1.47490 | 0.737449 | − | 0.675402i | \(-0.236030\pi\) | ||||
0.737449 | + | 0.675402i | \(0.236030\pi\) | |||||||
\(54\) | 1.29051i | 0.175617i | ||||||||
\(55\) | 6.51851 | 0.878956 | ||||||||
\(56\) | −3.01280 | −0.402602 | ||||||||
\(57\) | 2.96874i | 0.393219i | ||||||||
\(58\) | 9.85680i | 1.29426i | ||||||||
\(59\) | 10.3033i | 1.34138i | 0.741739 | + | 0.670689i | \(0.234001\pi\) | ||||
−0.741739 | + | 0.670689i | \(0.765999\pi\) | |||||||
\(60\) | − | 0.446512i | − | 0.0576444i | ||||||
\(61\) | −11.1877 | −1.43243 | −0.716216 | − | 0.697878i | \(-0.754128\pi\) | ||||
−0.716216 | + | 0.697878i | \(0.754128\pi\) | |||||||
\(62\) | 7.27577 | 0.924024 | ||||||||
\(63\) | − | 1.00000i | − | 0.125988i | ||||||
\(64\) | −8.85308 | −1.10664 | ||||||||
\(65\) | −0.387712 | + | 4.79623i | −0.0480898 | + | 0.594899i | ||||
\(66\) | 6.30331 | 0.775884 | ||||||||
\(67\) | − | 5.50709i | − | 0.672798i | −0.941720 | − | 0.336399i | \(-0.890791\pi\) | ||
0.941720 | − | 0.336399i | \(-0.109209\pi\) | |||||||
\(68\) | 1.53269 | 0.185866 | ||||||||
\(69\) | 6.13080 | 0.738061 | ||||||||
\(70\) | − | 1.72229i | − | 0.205852i | ||||||
\(71\) | 4.88434i | 0.579665i | 0.957077 | + | 0.289832i | \(0.0935996\pi\) | ||||
−0.957077 | + | 0.289832i | \(0.906400\pi\) | |||||||
\(72\) | − | 3.01280i | − | 0.355062i | ||||||
\(73\) | − | 4.45023i | − | 0.520860i | −0.965493 | − | 0.260430i | \(-0.916136\pi\) | ||
0.965493 | − | 0.260430i | \(-0.0838643\pi\) | |||||||
\(74\) | 12.6066 | 1.46549 | ||||||||
\(75\) | −3.21892 | −0.371688 | ||||||||
\(76\) | − | 0.993260i | − | 0.113935i | ||||||
\(77\) | −4.88434 | −0.556622 | ||||||||
\(78\) | −0.374913 | + | 4.63789i | −0.0424505 | + | 0.525137i | ||||
\(79\) | −3.54977 | −0.399380 | −0.199690 | − | 0.979859i | \(-0.563994\pi\) | ||||
−0.199690 | + | 0.979859i | \(0.563994\pi\) | |||||||
\(80\) | − | 4.29588i | − | 0.480294i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −4.77063 | −0.526828 | ||||||||
\(83\) | − | 5.27206i | − | 0.578683i | −0.957226 | − | 0.289342i | \(-0.906564\pi\) | ||
0.957226 | − | 0.289342i | \(-0.0934364\pi\) | |||||||
\(84\) | 0.334573i | 0.0365049i | ||||||||
\(85\) | 6.11372i | 0.663126i | ||||||||
\(86\) | − | 12.4378i | − | 1.34121i | ||||||
\(87\) | 7.63789 | 0.818867 | ||||||||
\(88\) | −14.7155 | −1.56868 | ||||||||
\(89\) | 9.94120i | 1.05377i | 0.849938 | + | 0.526883i | \(0.176639\pi\) | ||||
−0.849938 | + | 0.526883i | \(0.823361\pi\) | |||||||
\(90\) | 1.72229 | 0.181545 | ||||||||
\(91\) | 0.290514 | − | 3.59383i | 0.0304542 | − | 0.376736i | ||||
\(92\) | −2.05120 | −0.213852 | ||||||||
\(93\) | − | 5.63789i | − | 0.584622i | ||||||
\(94\) | 6.80366 | 0.701744 | ||||||||
\(95\) | 3.96200 | 0.406493 | ||||||||
\(96\) | 1.87154i | 0.191014i | ||||||||
\(97\) | 18.2189i | 1.84985i | 0.380149 | + | 0.924925i | \(0.375873\pi\) | ||||
−0.380149 | + | 0.924925i | \(0.624127\pi\) | |||||||
\(98\) | 1.29051i | 0.130362i | ||||||||
\(99\) | − | 4.88434i | − | 0.490895i | ||||||
\(100\) | 1.07696 | 0.107696 | ||||||||
\(101\) | −10.6947 | −1.06417 | −0.532083 | − | 0.846692i | \(-0.678591\pi\) | ||||
−0.532083 | + | 0.846692i | \(0.678591\pi\) | |||||||
\(102\) | 5.91188i | 0.585364i | ||||||||
\(103\) | 1.48149 | 0.145975 | 0.0729877 | − | 0.997333i | \(-0.476747\pi\) | ||||
0.0729877 | + | 0.997333i | \(0.476747\pi\) | |||||||
\(104\) | 0.875261 | − | 10.8275i | 0.0858264 | − | 1.06172i | ||||
\(105\) | −1.33457 | −0.130241 | ||||||||
\(106\) | − | 13.8568i | − | 1.34589i | ||||||
\(107\) | 4.49291 | 0.434346 | 0.217173 | − | 0.976133i | \(-0.430316\pi\) | ||||
0.217173 | + | 0.976133i | \(0.430316\pi\) | |||||||
\(108\) | −0.334573 | −0.0321943 | ||||||||
\(109\) | − | 7.83120i | − | 0.750093i | −0.927006 | − | 0.375047i | \(-0.877627\pi\) | ||
0.927006 | − | 0.375047i | \(-0.122373\pi\) | |||||||
\(110\) | − | 8.41223i | − | 0.802075i | ||||||
\(111\) | − | 9.76869i | − | 0.927203i | ||||||
\(112\) | 3.21892i | 0.304159i | ||||||||
\(113\) | 7.63789 | 0.718512 | 0.359256 | − | 0.933239i | \(-0.383031\pi\) | ||||
0.359256 | + | 0.933239i | \(0.383031\pi\) | |||||||
\(114\) | 3.83120 | 0.358825 | ||||||||
\(115\) | − | 8.18200i | − | 0.762975i | ||||||
\(116\) | −2.55543 | −0.237266 | ||||||||
\(117\) | 3.59383 | + | 0.290514i | 0.332250 | + | 0.0268581i | ||||
\(118\) | 13.2966 | 1.22405 | ||||||||
\(119\) | − | 4.58103i | − | 0.419942i | ||||||
\(120\) | −4.02080 | −0.367047 | ||||||||
\(121\) | −12.8568 | −1.16880 | ||||||||
\(122\) | 14.4378i | 1.30714i | ||||||||
\(123\) | 3.69669i | 0.333319i | ||||||||
\(124\) | 1.88628i | 0.169393i | ||||||||
\(125\) | 10.9687i | 0.981074i | ||||||||
\(126\) | −1.29051 | −0.114968 | ||||||||
\(127\) | −16.4122 | −1.45635 | −0.728175 | − | 0.685391i | \(-0.759631\pi\) | ||||
−0.728175 | + | 0.685391i | \(0.759631\pi\) | |||||||
\(128\) | 7.68195i | 0.678994i | ||||||||
\(129\) | −9.63789 | −0.848569 | ||||||||
\(130\) | 6.18960 | + | 0.500349i | 0.542864 | + | 0.0438835i | ||||
\(131\) | −8.43783 | −0.737217 | −0.368608 | − | 0.929585i | \(-0.620166\pi\) | ||||
−0.368608 | + | 0.929585i | \(0.620166\pi\) | |||||||
\(132\) | 1.63417i | 0.142236i | ||||||||
\(133\) | −2.96874 | −0.257423 | ||||||||
\(134\) | −7.10698 | −0.613949 | ||||||||
\(135\) | − | 1.33457i | − | 0.114862i | ||||||
\(136\) | − | 13.8017i | − | 1.18349i | ||||||
\(137\) | 16.8037i | 1.43563i | 0.696232 | + | 0.717817i | \(0.254859\pi\) | ||||
−0.696232 | + | 0.717817i | \(0.745141\pi\) | |||||||
\(138\) | − | 7.91188i | − | 0.673504i | ||||||
\(139\) | 2.51851 | 0.213617 | 0.106809 | − | 0.994280i | \(-0.465937\pi\) | ||||
0.106809 | + | 0.994280i | \(0.465937\pi\) | |||||||
\(140\) | 0.446512 | 0.0377371 | ||||||||
\(141\) | − | 5.27206i | − | 0.443987i | ||||||
\(142\) | 6.30331 | 0.528962 | ||||||||
\(143\) | 1.41897 | − | 17.5535i | 0.118660 | − | 1.46790i | ||||
\(144\) | −3.21892 | −0.268243 | ||||||||
\(145\) | − | 10.1933i | − | 0.846509i | ||||||
\(146\) | −5.74309 | −0.475301 | ||||||||
\(147\) | 1.00000 | 0.0824786 | ||||||||
\(148\) | 3.26834i | 0.268656i | ||||||||
\(149\) | − | 11.6416i | − | 0.953717i | −0.878980 | − | 0.476859i | \(-0.841775\pi\) | ||
0.878980 | − | 0.476859i | \(-0.158225\pi\) | |||||||
\(150\) | 4.15406i | 0.339177i | ||||||||
\(151\) | − | 15.5374i | − | 1.26441i | −0.774800 | − | 0.632207i | \(-0.782149\pi\) | ||
0.774800 | − | 0.632207i | \(-0.217851\pi\) | |||||||
\(152\) | −8.94422 | −0.725472 | ||||||||
\(153\) | 4.58103 | 0.370354 | ||||||||
\(154\) | 6.30331i | 0.507936i | ||||||||
\(155\) | −7.52417 | −0.604356 | ||||||||
\(156\) | −1.20240 | − | 0.0971982i | −0.0962688 | − | 0.00778208i | ||||
\(157\) | −7.16206 | −0.571594 | −0.285797 | − | 0.958290i | \(-0.592258\pi\) | ||||
−0.285797 | + | 0.958290i | \(0.592258\pi\) | |||||||
\(158\) | 4.58103i | 0.364447i | ||||||||
\(159\) | −10.7374 | −0.851533 | ||||||||
\(160\) | 2.49771 | 0.197461 | ||||||||
\(161\) | 6.13080i | 0.483175i | ||||||||
\(162\) | − | 1.29051i | − | 0.101392i | ||||||
\(163\) | − | 7.70617i | − | 0.603594i | −0.953372 | − | 0.301797i | \(-0.902414\pi\) | ||
0.953372 | − | 0.301797i | \(-0.0975864\pi\) | |||||||
\(164\) | − | 1.23681i | − | 0.0965787i | ||||||
\(165\) | −6.51851 | −0.507465 | ||||||||
\(166\) | −6.80366 | −0.528067 | ||||||||
\(167\) | 12.5478i | 0.970980i | 0.874242 | + | 0.485490i | \(0.161359\pi\) | ||||
−0.874242 | + | 0.485490i | \(0.838641\pi\) | |||||||
\(168\) | 3.01280 | 0.232443 | ||||||||
\(169\) | 12.8312 | + | 2.08812i | 0.987016 | + | 0.160624i | ||||
\(170\) | 7.88984 | 0.605123 | ||||||||
\(171\) | − | 2.96874i | − | 0.227025i | ||||||
\(172\) | 3.22458 | 0.245872 | ||||||||
\(173\) | 14.5185 | 1.10382 | 0.551911 | − | 0.833903i | \(-0.313899\pi\) | ||||
0.551911 | + | 0.833903i | \(0.313899\pi\) | |||||||
\(174\) | − | 9.85680i | − | 0.747242i | ||||||
\(175\) | − | 3.21892i | − | 0.243327i | ||||||
\(176\) | 15.7223i | 1.18511i | ||||||||
\(177\) | − | 10.3033i | − | 0.774444i | ||||||
\(178\) | 12.8293 | 0.961594 | ||||||||
\(179\) | 16.0683 | 1.20100 | 0.600500 | − | 0.799625i | \(-0.294968\pi\) | ||||
0.600500 | + | 0.799625i | \(0.294968\pi\) | |||||||
\(180\) | 0.446512i | 0.0332810i | ||||||||
\(181\) | 17.2758 | 1.28410 | 0.642049 | − | 0.766664i | \(-0.278085\pi\) | ||||
0.642049 | + | 0.766664i | \(0.278085\pi\) | |||||||
\(182\) | −4.63789 | − | 0.374913i | −0.343783 | − | 0.0277904i | ||||
\(183\) | 11.1877 | 0.827015 | ||||||||
\(184\) | 18.4709i | 1.36169i | ||||||||
\(185\) | −13.0370 | −0.958501 | ||||||||
\(186\) | −7.27577 | −0.533486 | ||||||||
\(187\) | − | 22.3753i | − | 1.63624i | ||||||
\(188\) | 1.76389i | 0.128645i | ||||||||
\(189\) | 1.00000i | 0.0727393i | ||||||||
\(190\) | − | 5.11302i | − | 0.370937i | ||||||
\(191\) | −4.66915 | −0.337848 | −0.168924 | − | 0.985629i | \(-0.554029\pi\) | ||||
−0.168924 | + | 0.985629i | \(0.554029\pi\) | |||||||
\(192\) | 8.85308 | 0.638916 | ||||||||
\(193\) | 2.66915i | 0.192129i | 0.995375 | + | 0.0960647i | \(0.0306256\pi\) | ||||
−0.995375 | + | 0.0960647i | \(0.969374\pi\) | |||||||
\(194\) | 23.5118 | 1.68805 | ||||||||
\(195\) | 0.387712 | − | 4.79623i | 0.0277647 | − | 0.343465i | ||||
\(196\) | −0.334573 | −0.0238981 | ||||||||
\(197\) | − | 13.6967i | − | 0.975848i | −0.872886 | − | 0.487924i | \(-0.837754\pi\) | ||
0.872886 | − | 0.487924i | \(-0.162246\pi\) | |||||||
\(198\) | −6.30331 | −0.447957 | ||||||||
\(199\) | −5.93748 | −0.420897 | −0.210448 | − | 0.977605i | \(-0.567492\pi\) | ||||
−0.210448 | + | 0.977605i | \(0.567492\pi\) | |||||||
\(200\) | − | 9.69795i | − | 0.685748i | ||||||
\(201\) | 5.50709i | 0.388440i | ||||||||
\(202\) | 13.8017i | 0.971086i | ||||||||
\(203\) | 7.63789i | 0.536075i | ||||||||
\(204\) | −1.53269 | −0.107310 | ||||||||
\(205\) | 4.93350 | 0.344570 | ||||||||
\(206\) | − | 1.91188i | − | 0.133207i | ||||||
\(207\) | −6.13080 | −0.426120 | ||||||||
\(208\) | −11.5682 | − | 0.935141i | −0.802112 | − | 0.0648404i | ||||
\(209\) | −14.5003 | −1.00301 | ||||||||
\(210\) | 1.72229i | 0.118849i | ||||||||
\(211\) | 18.6493 | 1.28387 | 0.641936 | − | 0.766758i | \(-0.278132\pi\) | ||||
0.641936 | + | 0.766758i | \(0.278132\pi\) | |||||||
\(212\) | 3.59245 | 0.246731 | ||||||||
\(213\) | − | 4.88434i | − | 0.334670i | ||||||
\(214\) | − | 5.79817i | − | 0.396355i | ||||||
\(215\) | 12.8625i | 0.877213i | ||||||||
\(216\) | 3.01280i | 0.204995i | ||||||||
\(217\) | 5.63789 | 0.382725 | ||||||||
\(218\) | −10.1063 | −0.684484 | ||||||||
\(219\) | 4.45023i | 0.300719i | ||||||||
\(220\) | 2.18092 | 0.147037 | ||||||||
\(221\) | 16.4634 | + | 1.33085i | 1.10745 | + | 0.0895230i | ||||
\(222\) | −12.6066 | −0.846101 | ||||||||
\(223\) | − | 15.4066i | − | 1.03170i | −0.856679 | − | 0.515850i | \(-0.827476\pi\) | ||
0.856679 | − | 0.515850i | \(-0.172524\pi\) | |||||||
\(224\) | −1.87154 | −0.125048 | ||||||||
\(225\) | 3.21892 | 0.214594 | ||||||||
\(226\) | − | 9.85680i | − | 0.655665i | ||||||
\(227\) | 7.89576i | 0.524060i | 0.965060 | + | 0.262030i | \(0.0843920\pi\) | ||||
−0.965060 | + | 0.262030i | \(0.915608\pi\) | |||||||
\(228\) | 0.993260i | 0.0657803i | ||||||||
\(229\) | 9.01142i | 0.595492i | 0.954645 | + | 0.297746i | \(0.0962348\pi\) | ||||
−0.954645 | + | 0.297746i | \(0.903765\pi\) | |||||||
\(230\) | −10.5590 | −0.696239 | ||||||||
\(231\) | 4.88434 | 0.321366 | ||||||||
\(232\) | 23.0114i | 1.51077i | ||||||||
\(233\) | −10.7374 | −0.703432 | −0.351716 | − | 0.936107i | \(-0.614402\pi\) | ||||
−0.351716 | + | 0.936107i | \(0.614402\pi\) | |||||||
\(234\) | 0.374913 | − | 4.63789i | 0.0245088 | − | 0.303188i | ||||
\(235\) | −7.03594 | −0.458974 | ||||||||
\(236\) | 3.44721i | 0.224394i | ||||||||
\(237\) | 3.54977 | 0.230582 | ||||||||
\(238\) | −5.91188 | −0.383210 | ||||||||
\(239\) | 15.9839i | 1.03391i | 0.856012 | + | 0.516956i | \(0.172935\pi\) | ||||
−0.856012 | + | 0.516956i | \(0.827065\pi\) | |||||||
\(240\) | 4.29588i | 0.277298i | ||||||||
\(241\) | − | 21.6635i | − | 1.39547i | −0.716357 | − | 0.697734i | \(-0.754192\pi\) | ||
0.716357 | − | 0.697734i | \(-0.245808\pi\) | |||||||
\(242\) | 16.5919i | 1.06657i | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −3.74309 | −0.239627 | ||||||||
\(245\) | − | 1.33457i | − | 0.0852627i | ||||||
\(246\) | 4.77063 | 0.304164 | ||||||||
\(247\) | 0.862462 | − | 10.6691i | 0.0548771 | − | 0.678861i | ||||
\(248\) | 16.9858 | 1.07860 | ||||||||
\(249\) | 5.27206i | 0.334103i | ||||||||
\(250\) | 14.1553 | 0.895261 | ||||||||
\(251\) | −3.87496 | −0.244586 | −0.122293 | − | 0.992494i | \(-0.539025\pi\) | ||||
−0.122293 | + | 0.992494i | \(0.539025\pi\) | |||||||
\(252\) | − | 0.334573i | − | 0.0210761i | ||||||
\(253\) | 29.9449i | 1.88262i | ||||||||
\(254\) | 21.1802i | 1.32897i | ||||||||
\(255\) | − | 6.11372i | − | 0.382856i | ||||||
\(256\) | −7.79251 | −0.487032 | ||||||||
\(257\) | 16.8938 | 1.05381 | 0.526904 | − | 0.849925i | \(-0.323353\pi\) | ||||
0.526904 | + | 0.849925i | \(0.323353\pi\) | |||||||
\(258\) | 12.4378i | 0.774346i | ||||||||
\(259\) | 9.76869 | 0.606997 | ||||||||
\(260\) | −0.129718 | + | 1.60469i | −0.00804477 | + | 0.0995184i | ||||
\(261\) | −7.63789 | −0.472773 | ||||||||
\(262\) | 10.8891i | 0.672733i | ||||||||
\(263\) | 9.40657 | 0.580034 | 0.290017 | − | 0.957021i | \(-0.406339\pi\) | ||||
0.290017 | + | 0.957021i | \(0.406339\pi\) | |||||||
\(264\) | 14.7155 | 0.905679 | ||||||||
\(265\) | 14.3299i | 0.880277i | ||||||||
\(266\) | 3.83120i | 0.234906i | ||||||||
\(267\) | − | 9.94120i | − | 0.608392i | ||||||
\(268\) | − | 1.84252i | − | 0.112550i | ||||||
\(269\) | −17.6181 | −1.07419 | −0.537096 | − | 0.843521i | \(-0.680479\pi\) | ||||
−0.537096 | + | 0.843521i | \(0.680479\pi\) | |||||||
\(270\) | −1.72229 | −0.104815 | ||||||||
\(271\) | 23.1070i | 1.40365i | 0.712350 | + | 0.701824i | \(0.247631\pi\) | ||||
−0.712350 | + | 0.701824i | \(0.752369\pi\) | |||||||
\(272\) | −14.7459 | −0.894104 | ||||||||
\(273\) | −0.290514 | + | 3.59383i | −0.0175827 | + | 0.217508i | ||||
\(274\) | 21.6854 | 1.31006 | ||||||||
\(275\) | − | 15.7223i | − | 0.948089i | ||||||
\(276\) | 2.05120 | 0.123468 | ||||||||
\(277\) | −20.0757 | −1.20623 | −0.603116 | − | 0.797653i | \(-0.706075\pi\) | ||||
−0.603116 | + | 0.797653i | \(0.706075\pi\) | |||||||
\(278\) | − | 3.25017i | − | 0.194932i | ||||||
\(279\) | 5.63789i | 0.337531i | ||||||||
\(280\) | − | 4.02080i | − | 0.240289i | ||||||
\(281\) | 11.2038i | 0.668361i | 0.942509 | + | 0.334181i | \(0.108460\pi\) | ||||
−0.942509 | + | 0.334181i | \(0.891540\pi\) | |||||||
\(282\) | −6.80366 | −0.405152 | ||||||||
\(283\) | −1.33829 | −0.0795532 | −0.0397766 | − | 0.999209i | \(-0.512665\pi\) | ||||
−0.0397766 | + | 0.999209i | \(0.512665\pi\) | |||||||
\(284\) | 1.63417i | 0.0969700i | ||||||||
\(285\) | −3.96200 | −0.234689 | ||||||||
\(286\) | −22.6530 | − | 1.83120i | −1.33950 | − | 0.108281i | ||||
\(287\) | −3.69669 | −0.218208 | ||||||||
\(288\) | − | 1.87154i | − | 0.110282i | ||||||
\(289\) | 3.98582 | 0.234460 | ||||||||
\(290\) | −13.1546 | −0.772466 | ||||||||
\(291\) | − | 18.2189i | − | 1.06801i | ||||||
\(292\) | − | 1.48893i | − | 0.0871328i | ||||||
\(293\) | − | 8.60291i | − | 0.502587i | −0.967911 | − | 0.251294i | \(-0.919144\pi\) | ||
0.967911 | − | 0.251294i | \(-0.0808560\pi\) | |||||||
\(294\) | − | 1.29051i | − | 0.0752643i | ||||||
\(295\) | −13.7505 | −0.800586 | ||||||||
\(296\) | 29.4311 | 1.71065 | ||||||||
\(297\) | 4.88434i | 0.283418i | ||||||||
\(298\) | −15.0237 | −0.870297 | ||||||||
\(299\) | −22.0330 | − | 1.78108i | −1.27420 | − | 0.103003i | ||||
\(300\) | −1.07696 | −0.0621784 | ||||||||
\(301\) | − | 9.63789i | − | 0.555519i | ||||||
\(302\) | −20.0512 | −1.15382 | ||||||||
\(303\) | 10.6947 | 0.614397 | ||||||||
\(304\) | 9.55613i | 0.548081i | ||||||||
\(305\) | − | 14.9307i | − | 0.854932i | ||||||
\(306\) | − | 5.91188i | − | 0.337960i | ||||||
\(307\) | − | 7.57537i | − | 0.432349i | −0.976355 | − | 0.216175i | \(-0.930642\pi\) | ||
0.976355 | − | 0.216175i | \(-0.0693580\pi\) | |||||||
\(308\) | −1.63417 | −0.0931154 | ||||||||
\(309\) | −1.48149 | −0.0842790 | ||||||||
\(310\) | 9.71005i | 0.551494i | ||||||||
\(311\) | 6.11372 | 0.346677 | 0.173339 | − | 0.984862i | \(-0.444545\pi\) | ||||
0.173339 | + | 0.984862i | \(0.444545\pi\) | |||||||
\(312\) | −0.875261 | + | 10.8275i | −0.0495519 | + | 0.612986i | ||||
\(313\) | −7.31269 | −0.413338 | −0.206669 | − | 0.978411i | \(-0.566262\pi\) | ||||
−0.206669 | + | 0.978411i | \(0.566262\pi\) | |||||||
\(314\) | 9.24274i | 0.521598i | ||||||||
\(315\) | 1.33457 | 0.0751947 | ||||||||
\(316\) | −1.18766 | −0.0668109 | ||||||||
\(317\) | 1.70412i | 0.0957131i | 0.998854 | + | 0.0478565i | \(0.0152390\pi\) | ||||
−0.998854 | + | 0.0478565i | \(0.984761\pi\) | |||||||
\(318\) | 13.8568i | 0.777051i | ||||||||
\(319\) | 37.3061i | 2.08874i | ||||||||
\(320\) | − | 11.8151i | − | 0.660483i | ||||||
\(321\) | −4.49291 | −0.250770 | ||||||||
\(322\) | 7.91188 | 0.440912 | ||||||||
\(323\) | − | 13.5999i | − | 0.756718i | ||||||
\(324\) | 0.334573 | 0.0185874 | ||||||||
\(325\) | 11.5682 | + | 0.935141i | 0.641690 | + | 0.0518723i | ||||
\(326\) | −9.94492 | −0.550798 | ||||||||
\(327\) | 7.83120i | 0.433067i | ||||||||
\(328\) | −11.1374 | −0.614959 | ||||||||
\(329\) | 5.27206 | 0.290658 | ||||||||
\(330\) | 8.41223i | 0.463078i | ||||||||
\(331\) | − | 16.5232i | − | 0.908197i | −0.890952 | − | 0.454098i | \(-0.849961\pi\) | ||
0.890952 | − | 0.454098i | \(-0.150039\pi\) | |||||||
\(332\) | − | 1.76389i | − | 0.0968058i | ||||||
\(333\) | 9.76869i | 0.535321i | ||||||||
\(334\) | 16.1932 | 0.886050 | ||||||||
\(335\) | 7.34961 | 0.401552 | ||||||||
\(336\) | − | 3.21892i | − | 0.175606i | ||||||
\(337\) | 12.3043 | 0.670257 | 0.335128 | − | 0.942172i | \(-0.391220\pi\) | ||||
0.335128 | + | 0.942172i | \(0.391220\pi\) | |||||||
\(338\) | 2.69474 | − | 16.5589i | 0.146575 | − | 0.900683i | ||||
\(339\) | −7.63789 | −0.414833 | ||||||||
\(340\) | 2.04548i | 0.110932i | ||||||||
\(341\) | 27.5374 | 1.49123 | ||||||||
\(342\) | −3.83120 | −0.207168 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | − | 29.0370i | − | 1.56557i | ||||||
\(345\) | 8.18200i | 0.440504i | ||||||||
\(346\) | − | 18.7363i | − | 1.00727i | ||||||
\(347\) | 9.88240 | 0.530515 | 0.265258 | − | 0.964178i | \(-0.414543\pi\) | ||||
0.265258 | + | 0.964178i | \(0.414543\pi\) | |||||||
\(348\) | 2.55543 | 0.136985 | ||||||||
\(349\) | − | 29.1497i | − | 1.56035i | −0.625564 | − | 0.780173i | \(-0.715131\pi\) | ||
0.625564 | − | 0.780173i | \(-0.284869\pi\) | |||||||
\(350\) | −4.15406 | −0.222044 | ||||||||
\(351\) | −3.59383 | − | 0.290514i | −0.191824 | − | 0.0155065i | ||||
\(352\) | −9.14126 | −0.487231 | ||||||||
\(353\) | − | 8.90994i | − | 0.474228i | −0.971482 | − | 0.237114i | \(-0.923798\pi\) | ||
0.971482 | − | 0.237114i | \(-0.0762016\pi\) | |||||||
\(354\) | −13.2966 | −0.706705 | ||||||||
\(355\) | −6.51851 | −0.345967 | ||||||||
\(356\) | 3.32606i | 0.176281i | ||||||||
\(357\) | 4.58103i | 0.242454i | ||||||||
\(358\) | − | 20.7363i | − | 1.09595i | ||||||
\(359\) | 29.8776i | 1.57688i | 0.615112 | + | 0.788440i | \(0.289111\pi\) | ||||
−0.615112 | + | 0.788440i | \(0.710889\pi\) | |||||||
\(360\) | 4.02080 | 0.211915 | ||||||||
\(361\) | 10.1866 | 0.536136 | ||||||||
\(362\) | − | 22.2946i | − | 1.17178i | ||||||
\(363\) | 12.8568 | 0.674807 | ||||||||
\(364\) | 0.0971982 | − | 1.20240i | 0.00509457 | − | 0.0630227i | ||||
\(365\) | 5.93916 | 0.310870 | ||||||||
\(366\) | − | 14.4378i | − | 0.754678i | ||||||
\(367\) | −5.91932 | −0.308986 | −0.154493 | − | 0.987994i | \(-0.549374\pi\) | ||||
−0.154493 | + | 0.987994i | \(0.549374\pi\) | |||||||
\(368\) | 19.7345 | 1.02873 | ||||||||
\(369\) | − | 3.69669i | − | 0.192442i | ||||||
\(370\) | 16.8245i | 0.874662i | ||||||||
\(371\) | − | 10.7374i | − | 0.557459i | ||||||
\(372\) | − | 1.88628i | − | 0.0977993i | ||||||
\(373\) | 7.35645 | 0.380903 | 0.190451 | − | 0.981697i | \(-0.439005\pi\) | ||||
0.190451 | + | 0.981697i | \(0.439005\pi\) | |||||||
\(374\) | −28.8757 | −1.49312 | ||||||||
\(375\) | − | 10.9687i | − | 0.566423i | ||||||
\(376\) | 15.8836 | 0.819136 | ||||||||
\(377\) | −27.4493 | − | 2.21892i | −1.41371 | − | 0.114280i | ||||
\(378\) | 1.29051 | 0.0663769 | ||||||||
\(379\) | − | 12.0000i | − | 0.616399i | −0.951322 | − | 0.308199i | \(-0.900274\pi\) | ||
0.951322 | − | 0.308199i | \(-0.0997264\pi\) | |||||||
\(380\) | 1.32558 | 0.0680007 | ||||||||
\(381\) | 16.4122 | 0.840824 | ||||||||
\(382\) | 6.02560i | 0.308296i | ||||||||
\(383\) | − | 15.2891i | − | 0.781238i | −0.920552 | − | 0.390619i | \(-0.872261\pi\) | ||
0.920552 | − | 0.390619i | \(-0.127739\pi\) | |||||||
\(384\) | − | 7.68195i | − | 0.392018i | ||||||
\(385\) | − | 6.51851i | − | 0.332214i | ||||||
\(386\) | 3.44457 | 0.175324 | ||||||||
\(387\) | 9.63789 | 0.489921 | ||||||||
\(388\) | 6.09555i | 0.309455i | ||||||||
\(389\) | −7.51453 | −0.381002 | −0.190501 | − | 0.981687i | \(-0.561011\pi\) | ||||
−0.190501 | + | 0.981687i | \(0.561011\pi\) | |||||||
\(390\) | −6.18960 | − | 0.500349i | −0.313422 | − | 0.0253361i | ||||
\(391\) | −28.0854 | −1.42034 | ||||||||
\(392\) | 3.01280i | 0.152169i | ||||||||
\(393\) | 8.43783 | 0.425632 | ||||||||
\(394\) | −17.6758 | −0.890492 | ||||||||
\(395\) | − | 4.73743i | − | 0.238366i | ||||||
\(396\) | − | 1.63417i | − | 0.0821200i | ||||||
\(397\) | − | 10.3951i | − | 0.521718i | −0.965377 | − | 0.260859i | \(-0.915994\pi\) | ||
0.965377 | − | 0.260859i | \(-0.0840057\pi\) | |||||||
\(398\) | 7.66241i | 0.384082i | ||||||||
\(399\) | 2.96874 | 0.148623 | ||||||||
\(400\) | −10.3614 | −0.518071 | ||||||||
\(401\) | − | 13.4029i | − | 0.669307i | −0.942341 | − | 0.334653i | \(-0.891381\pi\) | ||
0.942341 | − | 0.334653i | \(-0.108619\pi\) | |||||||
\(402\) | 7.10698 | 0.354464 | ||||||||
\(403\) | −1.63789 | + | 20.2616i | −0.0815890 | + | 1.00930i | ||||
\(404\) | −3.57817 | −0.178021 | ||||||||
\(405\) | 1.33457i | 0.0663155i | ||||||||
\(406\) | 9.85680 | 0.489185 | ||||||||
\(407\) | 47.7136 | 2.36508 | ||||||||
\(408\) | 13.8017i | 0.683287i | ||||||||
\(409\) | 34.7421i | 1.71789i | 0.512071 | + | 0.858943i | \(0.328879\pi\) | ||||
−0.512071 | + | 0.858943i | \(0.671121\pi\) | |||||||
\(410\) | − | 6.36675i | − | 0.314431i | ||||||
\(411\) | − | 16.8037i | − | 0.828864i | ||||||
\(412\) | 0.495666 | 0.0244197 | ||||||||
\(413\) | 10.3033 | 0.506993 | ||||||||
\(414\) | 7.91188i | 0.388848i | ||||||||
\(415\) | 7.03594 | 0.345381 | ||||||||
\(416\) | 0.543710 | − | 6.72600i | 0.0266576 | − | 0.329769i | ||||
\(417\) | −2.51851 | −0.123332 | ||||||||
\(418\) | 18.7129i | 0.915278i | ||||||||
\(419\) | 3.01418 | 0.147252 | 0.0736261 | − | 0.997286i | \(-0.476543\pi\) | ||||
0.0736261 | + | 0.997286i | \(0.476543\pi\) | |||||||
\(420\) | −0.446512 | −0.0217875 | ||||||||
\(421\) | − | 32.1366i | − | 1.56624i | −0.621871 | − | 0.783120i | \(-0.713627\pi\) | ||
0.621871 | − | 0.783120i | \(-0.286373\pi\) | |||||||
\(422\) | − | 24.0672i | − | 1.17157i | ||||||
\(423\) | 5.27206i | 0.256336i | ||||||||
\(424\) | − | 32.3497i | − | 1.57104i | ||||||
\(425\) | 14.7459 | 0.715283 | ||||||||
\(426\) | −6.30331 | −0.305397 | ||||||||
\(427\) | 11.1877i | 0.541409i | ||||||||
\(428\) | 1.50321 | 0.0726602 | ||||||||
\(429\) | −1.41897 | + | 17.5535i | −0.0685086 | + | 0.847490i | ||||
\(430\) | 16.5992 | 0.800484 | ||||||||
\(431\) | − | 9.00938i | − | 0.433966i | −0.976175 | − | 0.216983i | \(-0.930378\pi\) | ||
0.976175 | − | 0.216983i | \(-0.0696217\pi\) | |||||||
\(432\) | 3.21892 | 0.154870 | ||||||||
\(433\) | −38.6397 | −1.85690 | −0.928452 | − | 0.371453i | \(-0.878860\pi\) | ||||
−0.928452 | + | 0.371453i | \(0.878860\pi\) | |||||||
\(434\) | − | 7.27577i | − | 0.349248i | ||||||
\(435\) | 10.1933i | 0.488732i | ||||||||
\(436\) | − | 2.62011i | − | 0.125480i | ||||||
\(437\) | 18.2008i | 0.870660i | ||||||||
\(438\) | 5.74309 | 0.274415 | ||||||||
\(439\) | 1.48149 | 0.0707076 | 0.0353538 | − | 0.999375i | \(-0.488744\pi\) | ||||
0.0353538 | + | 0.999375i | \(0.488744\pi\) | |||||||
\(440\) | − | 19.6390i | − | 0.936251i | ||||||
\(441\) | −1.00000 | −0.0476190 | ||||||||
\(442\) | 1.71749 | − | 21.2463i | 0.0816925 | − | 1.01058i | ||||
\(443\) | −12.0683 | −0.573381 | −0.286691 | − | 0.958023i | \(-0.592555\pi\) | ||||
−0.286691 | + | 0.958023i | \(0.592555\pi\) | |||||||
\(444\) | − | 3.26834i | − | 0.155108i | ||||||
\(445\) | −13.2673 | −0.628928 | ||||||||
\(446\) | −19.8824 | −0.941459 | ||||||||
\(447\) | 11.6416i | 0.550629i | ||||||||
\(448\) | 8.85308i | 0.418269i | ||||||||
\(449\) | − | 24.0794i | − | 1.13638i | −0.822898 | − | 0.568189i | \(-0.807644\pi\) | ||
0.822898 | − | 0.568189i | \(-0.192356\pi\) | |||||||
\(450\) | − | 4.15406i | − | 0.195824i | ||||||
\(451\) | −18.0559 | −0.850218 | ||||||||
\(452\) | 2.55543 | 0.120197 | ||||||||
\(453\) | 15.5374i | 0.730009i | ||||||||
\(454\) | 10.1896 | 0.478222 | ||||||||
\(455\) | 4.79623 | + | 0.387712i | 0.224851 | + | 0.0181762i | ||||
\(456\) | 8.94422 | 0.418852 | ||||||||
\(457\) | 32.9933i | 1.54336i | 0.636011 | + | 0.771680i | \(0.280583\pi\) | ||||
−0.636011 | + | 0.771680i | \(0.719417\pi\) | |||||||
\(458\) | 11.6294 | 0.543405 | ||||||||
\(459\) | −4.58103 | −0.213824 | ||||||||
\(460\) | − | 2.73747i | − | 0.127635i | ||||||
\(461\) | − | 13.4654i | − | 0.627145i | −0.949564 | − | 0.313572i | \(-0.898474\pi\) | ||
0.949564 | − | 0.313572i | \(-0.101526\pi\) | |||||||
\(462\) | − | 6.30331i | − | 0.293257i | ||||||
\(463\) | 22.3679i | 1.03952i | 0.854311 | + | 0.519762i | \(0.173979\pi\) | ||||
−0.854311 | + | 0.519762i | \(0.826021\pi\) | |||||||
\(464\) | 24.5857 | 1.14136 | ||||||||
\(465\) | 7.52417 | 0.348925 | ||||||||
\(466\) | 13.8568i | 0.641904i | ||||||||
\(467\) | 16.5629 | 0.766438 | 0.383219 | − | 0.923658i | \(-0.374815\pi\) | ||||
0.383219 | + | 0.923658i | \(0.374815\pi\) | |||||||
\(468\) | 1.20240 | + | 0.0971982i | 0.0555808 | + | 0.00449299i | ||||
\(469\) | −5.50709 | −0.254294 | ||||||||
\(470\) | 9.07998i | 0.418828i | ||||||||
\(471\) | 7.16206 | 0.330010 | ||||||||
\(472\) | 31.0418 | 1.42882 | ||||||||
\(473\) | − | 47.0747i | − | 2.16450i | ||||||
\(474\) | − | 4.58103i | − | 0.210414i | ||||||
\(475\) | − | 9.55613i | − | 0.438465i | ||||||
\(476\) | − | 1.53269i | − | 0.0702506i | ||||||
\(477\) | 10.7374 | 0.491633 | ||||||||
\(478\) | 20.6274 | 0.943477 | ||||||||
\(479\) | 10.1403i | 0.463321i | 0.972797 | + | 0.231661i | \(0.0744159\pi\) | ||||
−0.972797 | + | 0.231661i | \(0.925584\pi\) | |||||||
\(480\) | −2.49771 | −0.114004 | ||||||||
\(481\) | −2.83794 | + | 35.1070i | −0.129399 | + | 1.60074i | ||||
\(482\) | −27.9570 | −1.27341 | ||||||||
\(483\) | − | 6.13080i | − | 0.278961i | ||||||
\(484\) | −4.30154 | −0.195524 | ||||||||
\(485\) | −24.3145 | −1.10406 | ||||||||
\(486\) | 1.29051i | 0.0585389i | ||||||||
\(487\) | − | 11.6624i | − | 0.528474i | −0.964458 | − | 0.264237i | \(-0.914880\pi\) | ||
0.964458 | − | 0.264237i | \(-0.0851201\pi\) | |||||||
\(488\) | 33.7062i | 1.52581i | ||||||||
\(489\) | 7.70617i | 0.348485i | ||||||||
\(490\) | −1.72229 | −0.0778049 | ||||||||
\(491\) | −24.8454 | −1.12126 | −0.560628 | − | 0.828068i | \(-0.689440\pi\) | ||||
−0.560628 | + | 0.828068i | \(0.689440\pi\) | |||||||
\(492\) | 1.23681i | 0.0557597i | ||||||||
\(493\) | −34.9894 | −1.57584 | ||||||||
\(494\) | −13.7687 | − | 1.11302i | −0.619482 | − | 0.0500771i | ||||
\(495\) | 6.51851 | 0.292985 | ||||||||
\(496\) | − | 18.1479i | − | 0.814864i | ||||||
\(497\) | 4.88434 | 0.219093 | ||||||||
\(498\) | 6.80366 | 0.304879 | ||||||||
\(499\) | − | 7.40081i | − | 0.331306i | −0.986184 | − | 0.165653i | \(-0.947027\pi\) | ||
0.986184 | − | 0.165653i | \(-0.0529731\pi\) | |||||||
\(500\) | 3.66984i | 0.164120i | ||||||||
\(501\) | − | 12.5478i | − | 0.560596i | ||||||
\(502\) | 5.00070i | 0.223192i | ||||||||
\(503\) | −35.8898 | −1.60025 | −0.800124 | − | 0.599834i | \(-0.795233\pi\) | ||||
−0.800124 | + | 0.599834i | \(0.795233\pi\) | |||||||
\(504\) | −3.01280 | −0.134201 | ||||||||
\(505\) | − | 14.2729i | − | 0.635136i | ||||||
\(506\) | 38.6443 | 1.71795 | ||||||||
\(507\) | −12.8312 | − | 2.08812i | −0.569854 | − | 0.0927365i | ||||
\(508\) | −5.49109 | −0.243628 | ||||||||
\(509\) | 3.99628i | 0.177132i | 0.996070 | + | 0.0885660i | \(0.0282284\pi\) | ||||
−0.996070 | + | 0.0885660i | \(0.971772\pi\) | |||||||
\(510\) | −7.88984 | −0.349368 | ||||||||
\(511\) | −4.45023 | −0.196867 | ||||||||
\(512\) | 25.4202i | 1.12343i | ||||||||
\(513\) | 2.96874i | 0.131073i | ||||||||
\(514\) | − | 21.8017i | − | 0.961633i | ||||||
\(515\) | 1.97716i | 0.0871239i | ||||||||
\(516\) | −3.22458 | −0.141954 | ||||||||
\(517\) | 25.7505 | 1.13251 | ||||||||
\(518\) | − | 12.6066i | − | 0.553903i | ||||||
\(519\) | −14.5185 | −0.637292 | ||||||||
\(520\) | 14.4501 | + | 1.16810i | 0.633677 | + | 0.0512246i | ||||
\(521\) | −28.5562 | −1.25107 | −0.625536 | − | 0.780196i | \(-0.715119\pi\) | ||||
−0.625536 | + | 0.780196i | \(0.715119\pi\) | |||||||
\(522\) | 9.85680i | 0.431421i | ||||||||
\(523\) | −23.5555 | −1.03001 | −0.515006 | − | 0.857187i | \(-0.672210\pi\) | ||||
−0.515006 | + | 0.857187i | \(0.672210\pi\) | |||||||
\(524\) | −2.82307 | −0.123326 | ||||||||
\(525\) | 3.21892i | 0.140485i | ||||||||
\(526\) | − | 12.1393i | − | 0.529299i | ||||||
\(527\) | 25.8273i | 1.12506i | ||||||||
\(528\) | − | 15.7223i | − | 0.684225i | ||||||
\(529\) | 14.5867 | 0.634204 | ||||||||
\(530\) | 18.4929 | 0.803281 | ||||||||
\(531\) | 10.3033i | 0.447126i | ||||||||
\(532\) | −0.993260 | −0.0430633 | ||||||||
\(533\) | 1.07394 | − | 13.2853i | 0.0465175 | − | 0.575448i | ||||
\(534\) | −12.8293 | −0.555176 | ||||||||
\(535\) | 5.99612i | 0.259235i | ||||||||
\(536\) | −16.5918 | −0.716655 | ||||||||
\(537\) | −16.0683 | −0.693397 | ||||||||
\(538\) | 22.7363i | 0.980233i | ||||||||
\(539\) | 4.88434i | 0.210384i | ||||||||
\(540\) | − | 0.446512i | − | 0.0192148i | ||||||
\(541\) | 6.32411i | 0.271895i | 0.990716 | + | 0.135947i | \(0.0434078\pi\) | ||||
−0.990716 | + | 0.135947i | \(0.956592\pi\) | |||||||
\(542\) | 29.8199 | 1.28087 | ||||||||
\(543\) | −17.2758 | −0.741374 | ||||||||
\(544\) | − | 8.57359i | − | 0.367590i | ||||||
\(545\) | 10.4513 | 0.447685 | ||||||||
\(546\) | 4.63789 | + | 0.374913i | 0.198483 | + | 0.0160448i | ||||
\(547\) | 17.8141 | 0.761677 | 0.380838 | − | 0.924642i | \(-0.375635\pi\) | ||||
0.380838 | + | 0.924642i | \(0.375635\pi\) | |||||||
\(548\) | 5.62205i | 0.240162i | ||||||||
\(549\) | −11.1877 | −0.477478 | ||||||||
\(550\) | −20.2898 | −0.865161 | ||||||||
\(551\) | 22.6749i | 0.965984i | ||||||||
\(552\) | − | 18.4709i | − | 0.786172i | ||||||
\(553\) | 3.54977i | 0.150952i | ||||||||
\(554\) | 25.9080i | 1.10073i | ||||||||
\(555\) | 13.0370 | 0.553391 | ||||||||
\(556\) | 0.842625 | 0.0357353 | ||||||||
\(557\) | − | 2.04915i | − | 0.0868255i | −0.999057 | − | 0.0434127i | \(-0.986177\pi\) | ||
0.999057 | − | 0.0434127i | \(-0.0138230\pi\) | |||||||
\(558\) | 7.27577 | 0.308008 | ||||||||
\(559\) | 34.6369 | + | 2.79994i | 1.46499 | + | 0.118425i | ||||
\(560\) | −4.29588 | −0.181534 | ||||||||
\(561\) | 22.3753i | 0.944686i | ||||||||
\(562\) | 14.4586 | 0.609901 | ||||||||
\(563\) | −29.5999 | −1.24749 | −0.623743 | − | 0.781629i | \(-0.714389\pi\) | ||||
−0.623743 | + | 0.781629i | \(0.714389\pi\) | |||||||
\(564\) | − | 1.76389i | − | 0.0742730i | ||||||
\(565\) | 10.1933i | 0.428836i | ||||||||
\(566\) | 1.72708i | 0.0725948i | ||||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | 14.7155 | 0.617451 | ||||||||
\(569\) | 7.63789 | 0.320197 | 0.160098 | − | 0.987101i | \(-0.448819\pi\) | ||||
0.160098 | + | 0.987101i | \(0.448819\pi\) | |||||||
\(570\) | 5.11302i | 0.214161i | ||||||||
\(571\) | −11.9364 | −0.499523 | −0.249761 | − | 0.968307i | \(-0.580352\pi\) | ||||
−0.249761 | + | 0.968307i | \(0.580352\pi\) | |||||||
\(572\) | 0.474749 | − | 5.87292i | 0.0198503 | − | 0.245559i | ||||
\(573\) | 4.66915 | 0.195056 | ||||||||
\(574\) | 4.77063i | 0.199122i | ||||||||
\(575\) | −19.7345 | −0.822986 | ||||||||
\(576\) | −8.85308 | −0.368878 | ||||||||
\(577\) | 47.8320i | 1.99127i | 0.0933200 | + | 0.995636i | \(0.470252\pi\) | ||||
−0.0933200 | + | 0.995636i | \(0.529748\pi\) | |||||||
\(578\) | − | 5.14376i | − | 0.213952i | ||||||
\(579\) | − | 2.66915i | − | 0.110926i | ||||||
\(580\) | − | 3.41041i | − | 0.141609i | ||||||
\(581\) | −5.27206 | −0.218722 | ||||||||
\(582\) | −23.5118 | −0.974594 | ||||||||
\(583\) | − | 52.4453i | − | 2.17206i | ||||||
\(584\) | −13.4077 | −0.554813 | ||||||||
\(585\) | −0.387712 | + | 4.79623i | −0.0160299 | + | 0.198300i | ||||
\(586\) | −11.1022 | −0.458627 | ||||||||
\(587\) | − | 12.2350i | − | 0.504994i | −0.967598 | − | 0.252497i | \(-0.918748\pi\) | ||
0.967598 | − | 0.252497i | \(-0.0812518\pi\) | |||||||
\(588\) | 0.334573 | 0.0137976 | ||||||||
\(589\) | 16.7374 | 0.689654 | ||||||||
\(590\) | 17.7452i | 0.730560i | ||||||||
\(591\) | 13.6967i | 0.563406i | ||||||||
\(592\) | − | 31.4446i | − | 1.29236i | ||||||
\(593\) | − | 33.5714i | − | 1.37861i | −0.724471 | − | 0.689305i | \(-0.757916\pi\) | ||
0.724471 | − | 0.689305i | \(-0.242084\pi\) | |||||||
\(594\) | 6.30331 | 0.258628 | ||||||||
\(595\) | 6.11372 | 0.250638 | ||||||||
\(596\) | − | 3.89496i | − | 0.159544i | ||||||
\(597\) | 5.93748 | 0.243005 | ||||||||
\(598\) | −2.29852 | + | 28.4339i | −0.0939933 | + | 1.16275i | ||||
\(599\) | 20.4549 | 0.835765 | 0.417883 | − | 0.908501i | \(-0.362772\pi\) | ||||
0.417883 | + | 0.908501i | \(0.362772\pi\) | |||||||
\(600\) | 9.69795i | 0.395917i | ||||||||
\(601\) | 25.3014 | 1.03206 | 0.516032 | − | 0.856569i | \(-0.327408\pi\) | ||||
0.516032 | + | 0.856569i | \(0.327408\pi\) | |||||||
\(602\) | −12.4378 | −0.506928 | ||||||||
\(603\) | − | 5.50709i | − | 0.224266i | ||||||
\(604\) | − | 5.19838i | − | 0.211519i | ||||||
\(605\) | − | 17.1583i | − | 0.697586i | ||||||
\(606\) | − | 13.8017i | − | 0.560657i | ||||||
\(607\) | −16.0330 | −0.650761 | −0.325380 | − | 0.945583i | \(-0.605492\pi\) | ||||
−0.325380 | + | 0.945583i | \(0.605492\pi\) | |||||||
\(608\) | −5.55613 | −0.225331 | ||||||||
\(609\) | − | 7.63789i | − | 0.309503i | ||||||
\(610\) | −19.2683 | −0.780152 | ||||||||
\(611\) | −1.53161 | + | 18.9469i | −0.0619622 | + | 0.766508i | ||||
\(612\) | 1.53269 | 0.0619552 | ||||||||
\(613\) | 39.9752i | 1.61458i | 0.590153 | + | 0.807292i | \(0.299067\pi\) | ||||
−0.590153 | + | 0.807292i | \(0.700933\pi\) | |||||||
\(614\) | −9.77612 | −0.394532 | ||||||||
\(615\) | −4.93350 | −0.198938 | ||||||||
\(616\) | 14.7155i | 0.592906i | ||||||||
\(617\) | 1.05782i | 0.0425863i | 0.999773 | + | 0.0212932i | \(0.00677834\pi\) | ||||
−0.999773 | + | 0.0212932i | \(0.993222\pi\) | |||||||
\(618\) | 1.91188i | 0.0769072i | ||||||||
\(619\) | 41.8199i | 1.68088i | 0.541902 | + | 0.840442i | \(0.317704\pi\) | ||||
−0.541902 | + | 0.840442i | \(0.682296\pi\) | |||||||
\(620\) | −2.51738 | −0.101101 | ||||||||
\(621\) | 6.13080 | 0.246020 | ||||||||
\(622\) | − | 7.88984i | − | 0.316354i | ||||||
\(623\) | 9.94120 | 0.398286 | ||||||||
\(624\) | 11.5682 | + | 0.935141i | 0.463100 | + | 0.0374356i | ||||
\(625\) | 1.45599 | 0.0582397 | ||||||||
\(626\) | 9.43713i | 0.377184i | ||||||||
\(627\) | 14.5003 | 0.579088 | ||||||||
\(628\) | −2.39623 | −0.0956200 | ||||||||
\(629\) | 44.7506i | 1.78432i | ||||||||
\(630\) | − | 1.72229i | − | 0.0686175i | ||||||
\(631\) | 20.0928i | 0.799882i | 0.916541 | + | 0.399941i | \(0.130969\pi\) | ||||
−0.916541 | + | 0.399941i | \(0.869031\pi\) | |||||||
\(632\) | 10.6947i | 0.425414i | ||||||||
\(633\) | −18.6493 | −0.741243 | ||||||||
\(634\) | 2.19920 | 0.0873412 | ||||||||
\(635\) | − | 21.9033i | − | 0.869207i | ||||||
\(636\) | −3.59245 | −0.142450 | ||||||||
\(637\) | −3.59383 | − | 0.290514i | −0.142393 | − | 0.0115106i | ||||
\(638\) | 48.1440 | 1.90604 | ||||||||
\(639\) | 4.88434i | 0.193222i | ||||||||
\(640\) | −10.2521 | −0.405250 | ||||||||
\(641\) | 12.2008 | 0.481901 | 0.240950 | − | 0.970537i | \(-0.422541\pi\) | ||||
0.240950 | + | 0.970537i | \(0.422541\pi\) | |||||||
\(642\) | 5.79817i | 0.228835i | ||||||||
\(643\) | − | 0.0511985i | − | 0.00201907i | −0.999999 | − | 0.00100954i | \(-0.999679\pi\) | ||
0.999999 | − | 0.00100954i | \(-0.000321345\pi\) | |||||||
\(644\) | 2.05120i | 0.0808285i | ||||||||
\(645\) | − | 12.8625i | − | 0.506459i | ||||||
\(646\) | −17.5508 | −0.690529 | ||||||||
\(647\) | 6.63691 | 0.260924 | 0.130462 | − | 0.991453i | \(-0.458354\pi\) | ||||
0.130462 | + | 0.991453i | \(0.458354\pi\) | |||||||
\(648\) | − | 3.01280i | − | 0.118354i | ||||||
\(649\) | 50.3249 | 1.97543 | ||||||||
\(650\) | 1.20681 | − | 14.9290i | 0.0473351 | − | 0.585562i | ||||
\(651\) | −5.63789 | −0.220966 | ||||||||
\(652\) | − | 2.57827i | − | 0.100973i | ||||||
\(653\) | 14.1250 | 0.552755 | 0.276378 | − | 0.961049i | \(-0.410866\pi\) | ||||
0.276378 | + | 0.961049i | \(0.410866\pi\) | |||||||
\(654\) | 10.1063 | 0.395187 | ||||||||
\(655\) | − | 11.2609i | − | 0.440000i | ||||||
\(656\) | 11.8993i | 0.464590i | ||||||||
\(657\) | − | 4.45023i | − | 0.173620i | ||||||
\(658\) | − | 6.80366i | − | 0.265234i | ||||||
\(659\) | −9.95456 | −0.387775 | −0.193887 | − | 0.981024i | \(-0.562110\pi\) | ||||
−0.193887 | + | 0.981024i | \(0.562110\pi\) | |||||||
\(660\) | −2.18092 | −0.0848921 | ||||||||
\(661\) | 11.0359i | 0.429248i | 0.976697 | + | 0.214624i | \(0.0688527\pi\) | ||||
−0.976697 | + | 0.214624i | \(0.931147\pi\) | |||||||
\(662\) | −21.3234 | −0.828758 | ||||||||
\(663\) | −16.4634 | − | 1.33085i | −0.639387 | − | 0.0516861i | ||||
\(664\) | −15.8836 | −0.616405 | ||||||||
\(665\) | − | 3.96200i | − | 0.153640i | ||||||
\(666\) | 12.6066 | 0.488497 | ||||||||
\(667\) | 46.8263 | 1.81312 | ||||||||
\(668\) | 4.19816i | 0.162432i | ||||||||
\(669\) | 15.4066i | 0.595652i | ||||||||
\(670\) | − | 9.48478i | − | 0.366429i | ||||||
\(671\) | 54.6443i | 2.10952i | ||||||||
\(672\) | 1.87154 | 0.0721963 | ||||||||
\(673\) | −9.64921 | −0.371950 | −0.185975 | − | 0.982555i | \(-0.559544\pi\) | ||||
−0.185975 | + | 0.982555i | \(0.559544\pi\) | |||||||
\(674\) | − | 15.8788i | − | 0.611630i | ||||||
\(675\) | −3.21892 | −0.123896 | ||||||||
\(676\) | 4.29297 | + | 0.698627i | 0.165114 | + | 0.0268703i | ||||
\(677\) | 27.8320 | 1.06967 | 0.534835 | − | 0.844956i | \(-0.320374\pi\) | ||||
0.534835 | + | 0.844956i | \(0.320374\pi\) | |||||||
\(678\) | 9.85680i | 0.378548i | ||||||||
\(679\) | 18.2189 | 0.699178 | ||||||||
\(680\) | 18.4194 | 0.706352 | ||||||||
\(681\) | − | 7.89576i | − | 0.302566i | ||||||
\(682\) | − | 35.5374i | − | 1.36080i | ||||||
\(683\) | 43.8151i | 1.67654i | 0.545257 | + | 0.838269i | \(0.316432\pi\) | ||||
−0.545257 | + | 0.838269i | \(0.683568\pi\) | |||||||
\(684\) | − | 0.993260i | − | 0.0379782i | ||||||
\(685\) | −22.4257 | −0.856842 | ||||||||
\(686\) | 1.29051 | 0.0492721 | ||||||||
\(687\) | − | 9.01142i | − | 0.343807i | ||||||
\(688\) | −31.0235 | −1.18276 | ||||||||
\(689\) | 38.5885 | + | 3.11938i | 1.47010 | + | 0.118839i | ||||
\(690\) | 10.5590 | 0.401974 | ||||||||
\(691\) | − | 41.6057i | − | 1.58275i | −0.611329 | − | 0.791377i | \(-0.709365\pi\) | ||
0.611329 | − | 0.791377i | \(-0.290635\pi\) | |||||||
\(692\) | 4.85750 | 0.184654 | ||||||||
\(693\) | −4.88434 | −0.185541 | ||||||||
\(694\) | − | 12.7534i | − | 0.484112i | ||||||
\(695\) | 3.36114i | 0.127495i | ||||||||
\(696\) | − | 23.0114i | − | 0.872246i | ||||||
\(697\) | − | 16.9346i | − | 0.641445i | ||||||
\(698\) | −37.6181 | −1.42386 | ||||||||
\(699\) | 10.7374 | 0.406127 | ||||||||
\(700\) | − | 1.07696i | − | 0.0407053i | ||||||
\(701\) | −35.4765 | −1.33993 | −0.669965 | − | 0.742393i | \(-0.733691\pi\) | ||||
−0.669965 | + | 0.742393i | \(0.733691\pi\) | |||||||
\(702\) | −0.374913 | + | 4.63789i | −0.0141502 | + | 0.175046i | ||||
\(703\) | 29.0007 | 1.09378 | ||||||||
\(704\) | 43.2415i | 1.62973i | ||||||||
\(705\) | 7.03594 | 0.264989 | ||||||||
\(706\) | −11.4984 | −0.432748 | ||||||||
\(707\) | 10.6947i | 0.402217i | ||||||||
\(708\) | − | 3.44721i | − | 0.129554i | ||||||
\(709\) | − | 17.8937i | − | 0.672013i | −0.941860 | − | 0.336006i | \(-0.890924\pi\) | ||
0.941860 | − | 0.336006i | \(-0.109076\pi\) | |||||||
\(710\) | 8.41223i | 0.315705i | ||||||||
\(711\) | −3.54977 | −0.133127 | ||||||||
\(712\) | 29.9508 | 1.12246 | ||||||||
\(713\) | − | 34.5647i | − | 1.29446i | ||||||
\(714\) | 5.91188 | 0.221247 | ||||||||
\(715\) | 23.4264 | + | 1.89372i | 0.876098 | + | 0.0708211i | ||||
\(716\) | 5.37601 | 0.200911 | ||||||||
\(717\) | − | 15.9839i | − | 0.596929i | ||||||
\(718\) | 38.5575 | 1.43895 | ||||||||
\(719\) | −34.1137 | −1.27223 | −0.636113 | − | 0.771596i | \(-0.719459\pi\) | ||||
−0.636113 | + | 0.771596i | \(0.719459\pi\) | |||||||
\(720\) | − | 4.29588i | − | 0.160098i | ||||||
\(721\) | − | 1.48149i | − | 0.0551735i | ||||||
\(722\) | − | 13.1459i | − | 0.489241i | ||||||
\(723\) | 21.6635i | 0.805674i | ||||||||
\(724\) | 5.78000 | 0.214812 | ||||||||
\(725\) | −24.5857 | −0.913090 | ||||||||
\(726\) | − | 16.5919i | − | 0.615783i | ||||||
\(727\) | −0.599191 | −0.0222228 | −0.0111114 | − | 0.999938i | \(-0.503537\pi\) | ||||
−0.0111114 | + | 0.999938i | \(0.503537\pi\) | |||||||
\(728\) | −10.8275 | − | 0.875261i | −0.401293 | − | 0.0324393i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | − | 7.66457i | − | 0.283678i | ||||||
\(731\) | 44.1514 | 1.63300 | ||||||||
\(732\) | 3.74309 | 0.138348 | ||||||||
\(733\) | − | 41.7125i | − | 1.54069i | −0.637629 | − | 0.770344i | \(-0.720085\pi\) | ||
0.637629 | − | 0.770344i | \(-0.279915\pi\) | |||||||
\(734\) | 7.63897i | 0.281959i | ||||||||
\(735\) | 1.33457i | 0.0492265i | ||||||||
\(736\) | 11.4741i | 0.422939i | ||||||||
\(737\) | −26.8985 | −0.990819 | ||||||||
\(738\) | −4.77063 | −0.175609 | ||||||||
\(739\) | 19.4446i | 0.715280i | 0.933860 | + | 0.357640i | \(0.116419\pi\) | ||||
−0.933860 | + | 0.357640i | \(0.883581\pi\) | |||||||
\(740\) | −4.36183 | −0.160344 | ||||||||
\(741\) | −0.862462 | + | 10.6691i | −0.0316833 | + | 0.391941i | ||||
\(742\) | −13.8568 | −0.508699 | ||||||||
\(743\) | 9.44721i | 0.346584i | 0.984870 | + | 0.173292i | \(0.0554405\pi\) | ||||
−0.984870 | + | 0.173292i | \(0.944559\pi\) | |||||||
\(744\) | −16.9858 | −0.622730 | ||||||||
\(745\) | 15.5366 | 0.569216 | ||||||||
\(746\) | − | 9.49361i | − | 0.347586i | ||||||
\(747\) | − | 5.27206i | − | 0.192894i | ||||||
\(748\) | − | 7.48617i | − | 0.273722i | ||||||
\(749\) | − | 4.49291i | − | 0.164167i | ||||||
\(750\) | −14.1553 | −0.516879 | ||||||||
\(751\) | −8.91366 | −0.325264 | −0.162632 | − | 0.986687i | \(-0.551998\pi\) | ||||
−0.162632 | + | 0.986687i | \(0.551998\pi\) | |||||||
\(752\) | − | 16.9703i | − | 0.618843i | ||||||
\(753\) | 3.87496 | 0.141212 | ||||||||
\(754\) | −2.86354 | + | 35.4237i | −0.104284 | + | 1.29005i | ||||
\(755\) | 20.7358 | 0.754651 | ||||||||
\(756\) | 0.334573i | 0.0121683i | ||||||||
\(757\) | −43.8416 | −1.59345 | −0.796726 | − | 0.604341i | \(-0.793437\pi\) | ||||
−0.796726 | + | 0.604341i | \(0.793437\pi\) | |||||||
\(758\) | −15.4862 | −0.562483 | ||||||||
\(759\) | − | 29.9449i | − | 1.08693i | ||||||
\(760\) | − | 11.9367i | − | 0.432990i | ||||||
\(761\) | − | 11.2283i | − | 0.407025i | −0.979072 | − | 0.203513i | \(-0.934764\pi\) | ||
0.979072 | − | 0.203513i | \(-0.0652358\pi\) | |||||||
\(762\) | − | 21.1802i | − | 0.767278i | ||||||
\(763\) | −7.83120 | −0.283509 | ||||||||
\(764\) | −1.56217 | −0.0565173 | ||||||||
\(765\) | 6.11372i | 0.221042i | ||||||||
\(766\) | −19.7309 | −0.712905 | ||||||||
\(767\) | −2.99326 | + | 37.0283i | −0.108080 | + | 1.33702i | ||||
\(768\) | 7.79251 | 0.281188 | ||||||||
\(769\) | − | 13.1860i | − | 0.475499i | −0.971327 | − | 0.237749i | \(-0.923590\pi\) | ||
0.971327 | − | 0.237749i | \(-0.0764097\pi\) | |||||||
\(770\) | −8.41223 | −0.303156 | ||||||||
\(771\) | −16.8938 | −0.608416 | ||||||||
\(772\) | 0.893024i | 0.0321406i | ||||||||
\(773\) | − | 25.6094i | − | 0.921105i | −0.887632 | − | 0.460552i | \(-0.847651\pi\) | ||
0.887632 | − | 0.460552i | \(-0.152349\pi\) | |||||||
\(774\) | − | 12.4378i | − | 0.447069i | ||||||
\(775\) | 18.1479i | 0.651891i | ||||||||
\(776\) | 54.8899 | 1.97043 | ||||||||
\(777\) | −9.76869 | −0.350450 | ||||||||
\(778\) | 9.69760i | 0.347676i | ||||||||
\(779\) | −10.9745 | −0.393202 | ||||||||
\(780\) | 0.129718 | − | 1.60469i | 0.00464465 | − | 0.0574570i | ||||
\(781\) | 23.8568 | 0.853663 | ||||||||
\(782\) | 36.2446i | 1.29610i | ||||||||
\(783\) | 7.63789 | 0.272956 | ||||||||
\(784\) | 3.21892 | 0.114961 |