Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(251,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.b (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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 24x^{14} + 192x^{12} + 672x^{10} + 1092x^{8} + 880x^{6} + 352x^{4} + 64x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{15} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.10 | ||
Root | \(2.13875i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.251 |
Dual form | 600.2.b.i.251.12 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.541196 | − | 1.30656i | 0.382683 | − | 0.923880i | ||||
\(3\) | 1.64533 | − | 0.541196i | 0.949931 | − | 0.312460i | ||||
\(4\) | −1.41421 | − | 1.41421i | −0.707107 | − | 0.707107i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.183339 | − | 2.44262i | 0.0748477 | − | 0.997195i | ||||
\(7\) | − | 3.29066i | − | 1.24375i | −0.783116 | − | 0.621876i | \(-0.786371\pi\) | ||
0.783116 | − | 0.621876i | \(-0.213629\pi\) | |||||||
\(8\) | −2.61313 | + | 1.08239i | −0.923880 | + | 0.382683i | ||||
\(9\) | 2.41421 | − | 1.78089i | 0.804738 | − | 0.593630i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.51856i | 0.759374i | 0.925115 | + | 0.379687i | \(0.123968\pi\) | ||||
−0.925115 | + | 0.379687i | \(0.876032\pi\) | |||||||
\(12\) | −3.09221 | − | 1.56148i | −0.892645 | − | 0.450760i | ||||
\(13\) | − | 4.65369i | − | 1.29070i | −0.763886 | − | 0.645351i | \(-0.776711\pi\) | ||
0.763886 | − | 0.645351i | \(-0.223289\pi\) | |||||||
\(14\) | −4.29945 | − | 1.78089i | −1.14908 | − | 0.475963i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.00000i | 1.00000i | ||||||||
\(17\) | 3.69552i | 0.896295i | 0.893960 | + | 0.448147i | \(0.147916\pi\) | ||||
−0.893960 | + | 0.448147i | \(0.852084\pi\) | |||||||
\(18\) | −1.02028 | − | 4.11813i | −0.240483 | − | 0.970653i | ||||
\(19\) | −0.828427 | −0.190054 | −0.0950271 | − | 0.995475i | \(-0.530294\pi\) | ||||
−0.0950271 | + | 0.995475i | \(0.530294\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.78089 | − | 5.41421i | −0.388622 | − | 1.18148i | ||||
\(22\) | 3.29066 | + | 1.36303i | 0.701571 | + | 0.290600i | ||||
\(23\) | 2.61313 | 0.544874 | 0.272437 | − | 0.962174i | \(-0.412170\pi\) | ||||
0.272437 | + | 0.962174i | \(0.412170\pi\) | |||||||
\(24\) | −3.71366 | + | 3.19510i | −0.758049 | + | 0.652198i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.08034 | − | 2.51856i | −1.19245 | − | 0.493930i | ||||
\(27\) | 3.00836 | − | 4.23671i | 0.578960 | − | 0.815356i | ||||
\(28\) | −4.65369 | + | 4.65369i | −0.879465 | + | 0.879465i | ||||
\(29\) | −6.08034 | −1.12909 | −0.564546 | − | 0.825402i | \(-0.690949\pi\) | ||||
−0.564546 | + | 0.825402i | \(0.690949\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.17157i | 0.210421i | 0.994450 | + | 0.105210i | \(0.0335516\pi\) | ||||
−0.994450 | + | 0.105210i | \(0.966448\pi\) | |||||||
\(32\) | 5.22625 | + | 2.16478i | 0.923880 | + | 0.382683i | ||||
\(33\) | 1.36303 | + | 4.14386i | 0.237274 | + | 0.721353i | ||||
\(34\) | 4.82843 | + | 2.00000i | 0.828068 | + | 0.342997i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −5.93277 | − | 0.895653i | −0.988796 | − | 0.149276i | ||||
\(37\) | 1.92762i | 0.316899i | 0.987367 | + | 0.158450i | \(0.0506495\pi\) | ||||
−0.987367 | + | 0.158450i | \(0.949350\pi\) | |||||||
\(38\) | −0.448342 | + | 1.08239i | −0.0727306 | + | 0.175587i | ||||
\(39\) | −2.51856 | − | 7.65685i | −0.403292 | − | 1.22608i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 8.59890i | − | 1.34292i | −0.741039 | − | 0.671461i | \(-0.765667\pi\) | ||
0.741039 | − | 0.671461i | \(-0.234333\pi\) | |||||||
\(42\) | −8.03782 | − | 0.603305i | −1.24026 | − | 0.0930920i | ||||
\(43\) | 6.01673 | 0.917542 | 0.458771 | − | 0.888554i | \(-0.348290\pi\) | ||||
0.458771 | + | 0.888554i | \(0.348290\pi\) | |||||||
\(44\) | 3.56178 | − | 3.56178i | 0.536959 | − | 0.536959i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.41421 | − | 3.41421i | 0.208514 | − | 0.503398i | ||||
\(47\) | 2.61313 | 0.381164 | 0.190582 | − | 0.981671i | \(-0.438963\pi\) | ||||
0.190582 | + | 0.981671i | \(0.438963\pi\) | |||||||
\(48\) | 2.16478 | + | 6.58132i | 0.312460 | + | 0.949931i | ||||
\(49\) | −3.82843 | −0.546918 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.00000 | + | 6.08034i | 0.280056 | + | 0.851418i | ||||
\(52\) | −6.58132 | + | 6.58132i | −0.912664 | + | 0.912664i | ||||
\(53\) | 4.59220 | 0.630787 | 0.315394 | − | 0.948961i | \(-0.397863\pi\) | ||||
0.315394 | + | 0.948961i | \(0.397863\pi\) | |||||||
\(54\) | −3.90742 | − | 6.22351i | −0.531732 | − | 0.846912i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.56178 | + | 8.59890i | 0.475963 | + | 1.14908i | ||||
\(57\) | −1.36303 | + | 0.448342i | −0.180538 | + | 0.0593843i | ||||
\(58\) | −3.29066 | + | 7.94435i | −0.432085 | + | 1.04314i | ||||
\(59\) | 2.51856i | 0.327889i | 0.986470 | + | 0.163944i | \(0.0524217\pi\) | ||||
−0.986470 | + | 0.163944i | \(0.947578\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.48528i | 1.08643i | 0.839594 | + | 0.543214i | \(0.182793\pi\) | ||||
−0.839594 | + | 0.543214i | \(0.817207\pi\) | |||||||
\(62\) | 1.53073 | + | 0.634051i | 0.194403 | + | 0.0805245i | ||||
\(63\) | −5.86030 | − | 7.94435i | −0.738329 | − | 1.00089i | ||||
\(64\) | 5.65685 | − | 5.65685i | 0.707107 | − | 0.707107i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 6.15188 | + | 0.461750i | 0.757244 | + | 0.0568375i | ||||
\(67\) | 3.29066 | 0.402018 | 0.201009 | − | 0.979589i | \(-0.435578\pi\) | ||||
0.201009 | + | 0.979589i | \(0.435578\pi\) | |||||||
\(68\) | 5.22625 | − | 5.22625i | 0.633776 | − | 0.633776i | ||||
\(69\) | 4.29945 | − | 1.41421i | 0.517593 | − | 0.170251i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.12356 | 0.845412 | 0.422706 | − | 0.906267i | \(-0.361080\pi\) | ||||
0.422706 | + | 0.906267i | \(0.361080\pi\) | |||||||
\(72\) | −4.38102 | + | 7.26682i | −0.516308 | + | 0.856403i | ||||
\(73\) | 6.58132 | 0.770285 | 0.385142 | − | 0.922857i | \(-0.374152\pi\) | ||||
0.385142 | + | 0.922857i | \(0.374152\pi\) | |||||||
\(74\) | 2.51856 | + | 1.04322i | 0.292777 | + | 0.121272i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.17157 | + | 1.17157i | 0.134389 | + | 0.134389i | ||||
\(77\) | 8.28772 | 0.944473 | ||||||||
\(78\) | −11.3672 | − | 0.853202i | −1.28708 | − | 0.0966061i | ||||
\(79\) | 16.4853i | 1.85474i | 0.374147 | + | 0.927370i | \(0.377936\pi\) | ||||
−0.374147 | + | 0.927370i | \(0.622064\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.65685 | − | 8.59890i | 0.295206 | − | 0.955434i | ||||
\(82\) | −11.2350 | − | 4.65369i | −1.24070 | − | 0.513914i | ||||
\(83\) | 9.37011i | 1.02850i | 0.857639 | + | 0.514252i | \(0.171930\pi\) | ||||
−0.857639 | + | 0.514252i | \(0.828070\pi\) | |||||||
\(84\) | −5.13829 | + | 10.1754i | −0.560634 | + | 1.11023i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.25623 | − | 7.86123i | 0.351128 | − | 0.847699i | ||||
\(87\) | −10.0042 | + | 3.29066i | −1.07256 | + | 0.352796i | ||||
\(88\) | −2.72607 | − | 6.58132i | −0.290600 | − | 0.701571i | ||||
\(89\) | − | 5.03712i | − | 0.533934i | −0.963706 | − | 0.266967i | \(-0.913979\pi\) | ||
0.963706 | − | 0.266967i | \(-0.0860214\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.3137 | −1.60531 | ||||||||
\(92\) | −3.69552 | − | 3.69552i | −0.385284 | − | 0.385284i | ||||
\(93\) | 0.634051 | + | 1.92762i | 0.0657480 | + | 0.199885i | ||||
\(94\) | 1.41421 | − | 3.41421i | 0.145865 | − | 0.352149i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.77048 | + | 0.733355i | 0.997195 | + | 0.0748477i | ||||
\(97\) | 2.72607 | 0.276790 | 0.138395 | − | 0.990377i | \(-0.455806\pi\) | ||||
0.138395 | + | 0.990377i | \(0.455806\pi\) | |||||||
\(98\) | −2.07193 | + | 5.00208i | −0.209297 | + | 0.505286i | ||||
\(99\) | 4.48528 | + | 6.08034i | 0.450788 | + | 0.611097i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −13.2039 | −1.31384 | −0.656919 | − | 0.753961i | \(-0.728141\pi\) | ||||
−0.656919 | + | 0.753961i | \(0.728141\pi\) | |||||||
\(102\) | 9.02674 | + | 0.677532i | 0.893781 | + | 0.0670856i | ||||
\(103\) | − | 6.01673i | − | 0.592846i | −0.955057 | − | 0.296423i | \(-0.904206\pi\) | ||
0.955057 | − | 0.296423i | \(-0.0957938\pi\) | |||||||
\(104\) | 5.03712 | + | 12.1607i | 0.493930 | + | 1.19245i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.48528 | − | 6.00000i | 0.241392 | − | 0.582772i | ||||
\(107\) | 8.47343i | 0.819157i | 0.912275 | + | 0.409579i | \(0.134324\pi\) | ||||
−0.912275 | + | 0.409579i | \(0.865676\pi\) | |||||||
\(108\) | −10.2461 | + | 1.73715i | −0.985930 | + | 0.167157i | ||||
\(109\) | 0.485281i | 0.0464815i | 0.999730 | + | 0.0232408i | \(0.00739843\pi\) | ||||
−0.999730 | + | 0.0232408i | \(0.992602\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.04322 | + | 3.17157i | 0.0990182 | + | 0.301032i | ||||
\(112\) | 13.1626 | 1.24375 | ||||||||
\(113\) | − | 8.92177i | − | 0.839290i | −0.907688 | − | 0.419645i | \(-0.862155\pi\) | ||
0.907688 | − | 0.419645i | \(-0.137845\pi\) | |||||||
\(114\) | −0.151883 | + | 2.02353i | −0.0142251 | + | 0.189521i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 8.59890 | + | 8.59890i | 0.798388 | + | 0.798388i | ||||
\(117\) | −8.28772 | − | 11.2350i | −0.766200 | − | 1.03868i | ||||
\(118\) | 3.29066 | + | 1.36303i | 0.302930 | + | 0.125478i | ||||
\(119\) | 12.1607 | 1.11477 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.65685 | 0.423350 | ||||||||
\(122\) | 11.0866 | + | 4.59220i | 1.00373 | + | 0.415758i | ||||
\(123\) | −4.65369 | − | 14.1480i | −0.419609 | − | 1.27568i | ||||
\(124\) | 1.65685 | − | 1.65685i | 0.148790 | − | 0.148790i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −13.5514 | + | 3.35740i | −1.20725 | + | 0.299101i | ||||
\(127\) | 3.29066i | 0.291999i | 0.989285 | + | 0.145999i | \(0.0466397\pi\) | ||||
−0.989285 | + | 0.145999i | \(0.953360\pi\) | |||||||
\(128\) | −4.32957 | − | 10.4525i | −0.382683 | − | 0.923880i | ||||
\(129\) | 9.89949 | − | 3.25623i | 0.871602 | − | 0.286695i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 21.8028i | 1.90492i | 0.304663 | + | 0.952460i | \(0.401456\pi\) | ||||
−0.304663 | + | 0.952460i | \(0.598544\pi\) | |||||||
\(132\) | 3.93268 | − | 7.78793i | 0.342296 | − | 0.677852i | ||||
\(133\) | 2.72607i | 0.236380i | ||||||||
\(134\) | 1.78089 | − | 4.29945i | 0.153846 | − | 0.371416i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.00000 | − | 9.65685i | −0.342997 | − | 0.828068i | ||||
\(137\) | − | 11.9832i | − | 1.02380i | −0.859046 | − | 0.511899i | \(-0.828942\pi\) | ||
0.859046 | − | 0.511899i | \(-0.171058\pi\) | |||||||
\(138\) | 0.479087 | − | 6.38287i | 0.0407826 | − | 0.543346i | ||||
\(139\) | −14.4853 | −1.22863 | −0.614313 | − | 0.789063i | \(-0.710567\pi\) | ||||
−0.614313 | + | 0.789063i | \(0.710567\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.29945 | − | 1.41421i | 0.362079 | − | 0.119098i | ||||
\(142\) | 3.85525 | − | 9.30739i | 0.323525 | − | 0.781058i | ||||
\(143\) | 11.7206 | 0.980126 | ||||||||
\(144\) | 7.12356 | + | 9.65685i | 0.593630 | + | 0.804738i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.56178 | − | 8.59890i | 0.294775 | − | 0.711650i | ||||
\(147\) | −6.29902 | + | 2.07193i | −0.519535 | + | 0.170890i | ||||
\(148\) | 2.72607 | − | 2.72607i | 0.224082 | − | 0.224082i | ||||
\(149\) | 14.6792 | 1.20257 | 0.601285 | − | 0.799034i | \(-0.294656\pi\) | ||||
0.601285 | + | 0.799034i | \(0.294656\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 2.82843i | − | 0.230174i | −0.993355 | − | 0.115087i | \(-0.963285\pi\) | ||
0.993355 | − | 0.115087i | \(-0.0367147\pi\) | |||||||
\(152\) | 2.16478 | − | 0.896683i | 0.175587 | − | 0.0727306i | ||||
\(153\) | 6.58132 | + | 8.92177i | 0.532068 | + | 0.721282i | ||||
\(154\) | 4.48528 | − | 10.8284i | 0.361434 | − | 0.872580i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −7.26665 | + | 14.3902i | −0.581797 | + | 1.15214i | ||||
\(157\) | − | 5.78287i | − | 0.461523i | −0.973010 | − | 0.230762i | \(-0.925878\pi\) | ||
0.973010 | − | 0.230762i | \(-0.0741217\pi\) | |||||||
\(158\) | 21.5391 | + | 8.92177i | 1.71356 | + | 0.709778i | ||||
\(159\) | 7.55568 | − | 2.48528i | 0.599204 | − | 0.197096i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 8.59890i | − | 0.677688i | ||||||
\(162\) | −9.79713 | − | 8.12504i | −0.769735 | − | 0.638363i | ||||
\(163\) | −6.01673 | −0.471266 | −0.235633 | − | 0.971842i | \(-0.575716\pi\) | ||||
−0.235633 | + | 0.971842i | \(0.575716\pi\) | |||||||
\(164\) | −12.1607 | + | 12.1607i | −0.949590 | + | 0.949590i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.2426 | + | 5.07107i | 0.950213 | + | 0.393591i | ||||
\(167\) | 17.3952 | 1.34608 | 0.673040 | − | 0.739606i | \(-0.264988\pi\) | ||||
0.673040 | + | 0.739606i | \(0.264988\pi\) | |||||||
\(168\) | 10.5140 | + | 12.2204i | 0.811172 | + | 0.942824i | ||||
\(169\) | −8.65685 | −0.665912 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.00000 | + | 1.47534i | −0.152944 | + | 0.112822i | ||||
\(172\) | −8.50894 | − | 8.50894i | −0.648800 | − | 0.648800i | ||||
\(173\) | −21.5391 | −1.63758 | −0.818792 | − | 0.574090i | \(-0.805356\pi\) | ||||
−0.818792 | + | 0.574090i | \(0.805356\pi\) | |||||||
\(174\) | −1.11476 | + | 14.8520i | −0.0845099 | + | 1.12592i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −10.0742 | −0.759374 | ||||||||
\(177\) | 1.36303 | + | 4.14386i | 0.102452 | + | 0.311472i | ||||
\(178\) | −6.58132 | − | 2.72607i | −0.493290 | − | 0.204328i | ||||
\(179\) | 9.64212i | 0.720686i | 0.932820 | + | 0.360343i | \(0.117340\pi\) | ||||
−0.932820 | + | 0.360343i | \(0.882660\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 10.3431i | − | 0.768800i | −0.923167 | − | 0.384400i | \(-0.874408\pi\) | ||
0.923167 | − | 0.384400i | \(-0.125592\pi\) | |||||||
\(182\) | −8.28772 | + | 20.0083i | −0.614327 | + | 1.48312i | ||||
\(183\) | 4.59220 | + | 13.9611i | 0.339465 | + | 1.03203i | ||||
\(184\) | −6.82843 | + | 2.82843i | −0.503398 | + | 0.208514i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.86171 | + | 0.214795i | 0.209830 | + | 0.0157495i | ||||
\(187\) | −9.30739 | −0.680623 | ||||||||
\(188\) | −3.69552 | − | 3.69552i | −0.269523 | − | 0.269523i | ||||
\(189\) | −13.9416 | − | 9.89949i | −1.01410 | − | 0.720082i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.03712 | 0.364473 | 0.182237 | − | 0.983255i | \(-0.441666\pi\) | ||||
0.182237 | + | 0.983255i | \(0.441666\pi\) | |||||||
\(192\) | 6.24592 | − | 12.3689i | 0.450760 | − | 0.892645i | ||||
\(193\) | −19.7439 | −1.42120 | −0.710600 | − | 0.703596i | \(-0.751576\pi\) | ||||
−0.710600 | + | 0.703596i | \(0.751576\pi\) | |||||||
\(194\) | 1.47534 | − | 3.56178i | 0.105923 | − | 0.255721i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.41421 | + | 5.41421i | 0.386730 | + | 0.386730i | ||||
\(197\) | −11.9832 | −0.853770 | −0.426885 | − | 0.904306i | \(-0.640389\pi\) | ||||
−0.426885 | + | 0.904306i | \(0.640389\pi\) | |||||||
\(198\) | 10.3718 | − | 2.56964i | 0.737089 | − | 0.182617i | ||||
\(199\) | − | 9.17157i | − | 0.650156i | −0.945687 | − | 0.325078i | \(-0.894610\pi\) | ||
0.945687 | − | 0.325078i | \(-0.105390\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.41421 | − | 1.78089i | 0.381889 | − | 0.125614i | ||||
\(202\) | −7.14590 | + | 17.2517i | −0.502784 | + | 1.21383i | ||||
\(203\) | 20.0083i | 1.40431i | ||||||||
\(204\) | 5.77048 | − | 11.4273i | 0.404014 | − | 0.800073i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −7.86123 | − | 3.25623i | −0.547718 | − | 0.226872i | ||||
\(207\) | 6.30864 | − | 4.65369i | 0.438481 | − | 0.323454i | ||||
\(208\) | 18.6148 | 1.29070 | ||||||||
\(209\) | − | 2.08644i | − | 0.144322i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.4853 | 1.27258 | 0.636290 | − | 0.771450i | \(-0.280468\pi\) | ||||
0.636290 | + | 0.771450i | \(0.280468\pi\) | |||||||
\(212\) | −6.49435 | − | 6.49435i | −0.446034 | − | 0.446034i | ||||
\(213\) | 11.7206 | − | 3.85525i | 0.803083 | − | 0.264157i | ||||
\(214\) | 11.0711 | + | 4.58579i | 0.756803 | + | 0.313478i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.27545 | + | 14.3273i | −0.222866 | + | 0.974849i | ||||
\(217\) | 3.85525 | 0.261711 | ||||||||
\(218\) | 0.634051 | + | 0.262632i | 0.0429433 | + | 0.0177877i | ||||
\(219\) | 10.8284 | − | 3.56178i | 0.731717 | − | 0.240683i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 17.1978 | 1.15685 | ||||||||
\(222\) | 4.70845 | + | 0.353408i | 0.316010 | + | 0.0237192i | ||||
\(223\) | 21.9054i | 1.46690i | 0.679746 | + | 0.733448i | \(0.262090\pi\) | ||||
−0.679746 | + | 0.733448i | \(0.737910\pi\) | |||||||
\(224\) | 7.12356 | − | 17.1978i | 0.475963 | − | 1.14908i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −11.6569 | − | 4.82843i | −0.775402 | − | 0.321182i | ||||
\(227\) | 4.14386i | 0.275038i | 0.990499 | + | 0.137519i | \(0.0439128\pi\) | ||||
−0.990499 | + | 0.137519i | \(0.956087\pi\) | |||||||
\(228\) | 2.56167 | + | 1.29357i | 0.169651 | + | 0.0856689i | ||||
\(229\) | 19.3137i | 1.27629i | 0.769918 | + | 0.638143i | \(0.220297\pi\) | ||||
−0.769918 | + | 0.638143i | \(0.779703\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.6360 | − | 4.48528i | 0.897184 | − | 0.295110i | ||||
\(232\) | 15.8887 | − | 6.58132i | 1.04314 | − | 0.432085i | ||||
\(233\) | − | 15.9414i | − | 1.04436i | −0.852837 | − | 0.522178i | \(-0.825120\pi\) | ||
0.852837 | − | 0.522178i | \(-0.174880\pi\) | |||||||
\(234\) | −19.1645 | + | 4.74808i | −1.25282 | + | 0.310392i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.56178 | − | 3.56178i | 0.231852 | − | 0.231852i | ||||
\(237\) | 8.92177 | + | 27.1237i | 0.579531 | + | 1.76187i | ||||
\(238\) | 6.58132 | − | 15.8887i | 0.426603 | − | 1.02991i | ||||
\(239\) | −22.2349 | −1.43826 | −0.719129 | − | 0.694877i | \(-0.755459\pi\) | ||||
−0.719129 | + | 0.694877i | \(0.755459\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.48528 | −0.417754 | −0.208877 | − | 0.977942i | \(-0.566981\pi\) | ||||
−0.208877 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(242\) | 2.52027 | − | 6.08447i | 0.162009 | − | 0.391125i | ||||
\(243\) | −0.282294 | − | 15.5859i | −0.0181092 | − | 0.999836i | ||||
\(244\) | 12.0000 | − | 12.0000i | 0.768221 | − | 0.768221i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −21.0038 | − | 1.57651i | −1.33916 | − | 0.100515i | ||||
\(247\) | 3.85525i | 0.245303i | ||||||||
\(248\) | −1.26810 | − | 3.06147i | −0.0805245 | − | 0.194403i | ||||
\(249\) | 5.07107 | + | 15.4169i | 0.321366 | + | 0.977007i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 11.7286i | − | 0.740301i | −0.928972 | − | 0.370150i | \(-0.879306\pi\) | ||
0.928972 | − | 0.370150i | \(-0.120694\pi\) | |||||||
\(252\) | −2.94729 | + | 19.5227i | −0.185662 | + | 1.22982i | ||||
\(253\) | 6.58132i | 0.413764i | ||||||||
\(254\) | 4.29945 | + | 1.78089i | 0.269772 | + | 0.111743i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | − | 16.3128i | − | 1.01756i | −0.860895 | − | 0.508782i | \(-0.830096\pi\) | ||
0.860895 | − | 0.508782i | \(-0.169904\pi\) | |||||||
\(258\) | 1.10310 | − | 14.6966i | 0.0686760 | − | 0.914969i | ||||
\(259\) | 6.34315 | 0.394144 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −14.6792 | + | 10.8284i | −0.908622 | + | 0.670263i | ||||
\(262\) | 28.4867 | + | 11.7996i | 1.75992 | + | 0.728981i | ||||
\(263\) | −22.2500 | −1.37200 | −0.685998 | − | 0.727604i | \(-0.740634\pi\) | ||||
−0.685998 | + | 0.727604i | \(0.740634\pi\) | |||||||
\(264\) | −8.04706 | − | 9.35309i | −0.495263 | − | 0.575643i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 3.56178 | + | 1.47534i | 0.218387 | + | 0.0904588i | ||||
\(267\) | −2.72607 | − | 8.28772i | −0.166833 | − | 0.507200i | ||||
\(268\) | −4.65369 | − | 4.65369i | −0.284270 | − | 0.284270i | ||||
\(269\) | −9.64212 | −0.587891 | −0.293945 | − | 0.955822i | \(-0.594968\pi\) | ||||
−0.293945 | + | 0.955822i | \(0.594968\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.1421i | 0.859074i | 0.903049 | + | 0.429537i | \(0.141323\pi\) | ||||
−0.903049 | + | 0.429537i | \(0.858677\pi\) | |||||||
\(272\) | −14.7821 | −0.896295 | ||||||||
\(273\) | −25.1961 | + | 8.28772i | −1.52494 | + | 0.501596i | ||||
\(274\) | −15.6569 | − | 6.48528i | −0.945865 | − | 0.391790i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −8.08034 | − | 4.08034i | −0.486379 | − | 0.245608i | ||||
\(277\) | 15.0903i | 0.906685i | 0.891336 | + | 0.453343i | \(0.149769\pi\) | ||||
−0.891336 | + | 0.453343i | \(0.850231\pi\) | |||||||
\(278\) | −7.83938 | + | 18.9259i | −0.470175 | + | 1.13510i | ||||
\(279\) | 2.08644 | + | 2.82843i | 0.124912 | + | 0.169334i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.56178i | 0.212478i | 0.994341 | + | 0.106239i | \(0.0338809\pi\) | ||||
−0.994341 | + | 0.106239i | \(0.966119\pi\) | |||||||
\(282\) | 0.479087 | − | 6.38287i | 0.0285292 | − | 0.380094i | ||||
\(283\) | −18.0502 | −1.07297 | −0.536486 | − | 0.843909i | \(-0.680249\pi\) | ||||
−0.536486 | + | 0.843909i | \(0.680249\pi\) | |||||||
\(284\) | −10.0742 | − | 10.0742i | −0.597796 | − | 0.597796i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.34315 | − | 15.3137i | 0.375078 | − | 0.905519i | ||||
\(287\) | −28.2960 | −1.67026 | ||||||||
\(288\) | 16.4725 | − | 4.08113i | 0.970653 | − | 0.240483i | ||||
\(289\) | 3.34315 | 0.196656 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.48528 | − | 1.47534i | 0.262932 | − | 0.0864859i | ||||
\(292\) | −9.30739 | − | 9.30739i | −0.544674 | − | 0.544674i | ||||
\(293\) | 2.42742 | 0.141811 | 0.0709056 | − | 0.997483i | \(-0.477411\pi\) | ||||
0.0709056 | + | 0.997483i | \(0.477411\pi\) | |||||||
\(294\) | −0.701899 | + | 9.35139i | −0.0409356 | + | 0.545384i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.08644 | − | 5.03712i | −0.121272 | − | 0.292777i | ||||
\(297\) | 10.6704 | + | 7.57675i | 0.619161 | + | 0.439647i | ||||
\(298\) | 7.94435 | − | 19.1794i | 0.460204 | − | 1.11103i | ||||
\(299\) | − | 12.1607i | − | 0.703271i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 19.7990i | − | 1.14119i | ||||||
\(302\) | −3.69552 | − | 1.53073i | −0.212653 | − | 0.0880838i | ||||
\(303\) | −21.7248 | + | 7.14590i | −1.24806 | + | 0.410521i | ||||
\(304\) | − | 3.31371i | − | 0.190054i | ||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 15.2186 | − | 3.77048i | 0.869992 | − | 0.215544i | ||||
\(307\) | −7.14590 | −0.407838 | −0.203919 | − | 0.978988i | \(-0.565368\pi\) | ||||
−0.203919 | + | 0.978988i | \(0.565368\pi\) | |||||||
\(308\) | −11.7206 | − | 11.7206i | −0.667843 | − | 0.667843i | ||||
\(309\) | −3.25623 | − | 9.89949i | −0.185240 | − | 0.563163i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −34.3956 | −1.95040 | −0.975198 | − | 0.221334i | \(-0.928959\pi\) | ||||
−0.975198 | + | 0.221334i | \(0.928959\pi\) | |||||||
\(312\) | 14.8690 | + | 17.2823i | 0.841793 | + | 0.978415i | ||||
\(313\) | 17.0179 | 0.961907 | 0.480954 | − | 0.876746i | \(-0.340291\pi\) | ||||
0.480954 | + | 0.876746i | \(0.340291\pi\) | |||||||
\(314\) | −7.55568 | − | 3.12967i | −0.426392 | − | 0.176617i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 23.3137 | − | 23.3137i | 1.31150 | − | 1.31150i | ||||
\(317\) | −13.2513 | −0.744269 | −0.372135 | − | 0.928179i | \(-0.621374\pi\) | ||||
−0.372135 | + | 0.928179i | \(0.621374\pi\) | |||||||
\(318\) | 0.841928 | − | 11.2170i | 0.0472130 | − | 0.629018i | ||||
\(319\) | − | 15.3137i | − | 0.857403i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.58579 | + | 13.9416i | 0.255954 | + | 0.778143i | ||||
\(322\) | −11.2350 | − | 4.65369i | −0.626102 | − | 0.259340i | ||||
\(323\) | − | 3.06147i | − | 0.170345i | ||||||
\(324\) | −15.9180 | + | 8.40333i | −0.884336 | + | 0.466851i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.25623 | + | 7.86123i | −0.180346 | + | 0.435393i | ||||
\(327\) | 0.262632 | + | 0.798447i | 0.0145236 | + | 0.0441542i | ||||
\(328\) | 9.30739 | + | 22.4700i | 0.513914 | + | 1.24070i | ||||
\(329\) | − | 8.59890i | − | 0.474073i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.4853 | −1.01604 | −0.508021 | − | 0.861344i | \(-0.669623\pi\) | ||||
−0.508021 | + | 0.861344i | \(0.669623\pi\) | |||||||
\(332\) | 13.2513 | − | 13.2513i | 0.727262 | − | 0.727262i | ||||
\(333\) | 3.43289 | + | 4.65369i | 0.188121 | + | 0.255021i | ||||
\(334\) | 9.41421 | − | 22.7279i | 0.515123 | − | 1.24362i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 21.6569 | − | 7.12356i | 1.18148 | − | 0.388622i | ||||
\(337\) | −27.9222 | −1.52102 | −0.760508 | − | 0.649328i | \(-0.775050\pi\) | ||||
−0.760508 | + | 0.649328i | \(0.775050\pi\) | |||||||
\(338\) | −4.68506 | + | 11.3107i | −0.254833 | + | 0.615222i | ||||
\(339\) | −4.82843 | − | 14.6792i | −0.262244 | − | 0.797267i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.95068 | −0.159788 | ||||||||
\(342\) | 0.845230 | + | 3.41157i | 0.0457048 | + | 0.184477i | ||||
\(343\) | − | 10.4366i | − | 0.563521i | ||||||
\(344\) | −15.7225 | + | 6.51246i | −0.847699 | + | 0.351128i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.6569 | + | 28.1421i | −0.626676 | + | 1.51293i | ||||
\(347\) | − | 0.185709i | − | 0.00996939i | −0.999988 | − | 0.00498469i | \(-0.998413\pi\) | ||
0.999988 | − | 0.00498469i | \(-0.00158668\pi\) | |||||||
\(348\) | 18.8017 | + | 9.49433i | 1.00788 | + | 0.508949i | ||||
\(349\) | 2.34315i | 0.125426i | 0.998032 | + | 0.0627129i | \(0.0199752\pi\) | ||||
−0.998032 | + | 0.0627129i | \(0.980025\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −19.7164 | − | 14.0000i | −1.05238 | − | 0.747265i | ||||
\(352\) | −5.45214 | + | 13.1626i | −0.290600 | + | 0.701571i | ||||
\(353\) | − | 32.3630i | − | 1.72251i | −0.508175 | − | 0.861254i | \(-0.669680\pi\) | ||
0.508175 | − | 0.861254i | \(-0.330320\pi\) | |||||||
\(354\) | 6.15188 | + | 0.461750i | 0.326969 | + | 0.0245417i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −7.12356 | + | 7.12356i | −0.377548 | + | 0.377548i | ||||
\(357\) | 20.0083 | − | 6.58132i | 1.05895 | − | 0.348320i | ||||
\(358\) | 12.5980 | + | 5.21828i | 0.665827 | + | 0.275795i | ||||
\(359\) | −9.21001 | −0.486086 | −0.243043 | − | 0.970016i | \(-0.578146\pi\) | ||||
−0.243043 | + | 0.970016i | \(0.578146\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.3137 | −0.963879 | ||||||||
\(362\) | −13.5140 | − | 5.59767i | −0.710279 | − | 0.294207i | ||||
\(363\) | 7.66206 | − | 2.52027i | 0.402154 | − | 0.132280i | ||||
\(364\) | 21.6569 | + | 21.6569i | 1.13513 | + | 1.13513i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 20.7263 | + | 1.55568i | 1.08338 | + | 0.0813167i | ||||
\(367\) | 2.16148i | 0.112828i | 0.998407 | + | 0.0564142i | \(0.0179667\pi\) | ||||
−0.998407 | + | 0.0564142i | \(0.982033\pi\) | |||||||
\(368\) | 10.4525i | 0.544874i | ||||||||
\(369\) | −15.3137 | − | 20.7596i | −0.797200 | − | 1.08070i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 15.1114i | − | 0.784543i | ||||||
\(372\) | 1.82939 | − | 3.62275i | 0.0948493 | − | 0.187831i | ||||
\(373\) | 24.3976i | 1.26326i | 0.775269 | + | 0.631631i | \(0.217614\pi\) | ||||
−0.775269 | + | 0.631631i | \(0.782386\pi\) | |||||||
\(374\) | −5.03712 | + | 12.1607i | −0.260463 | + | 0.628814i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.82843 | + | 2.82843i | −0.352149 | + | 0.145865i | ||||
\(377\) | 28.2960i | 1.45732i | ||||||||
\(378\) | −20.4794 | + | 12.8580i | −1.05335 | + | 0.661343i | ||||
\(379\) | −20.8284 | −1.06988 | −0.534942 | − | 0.844889i | \(-0.679667\pi\) | ||||
−0.534942 | + | 0.844889i | \(0.679667\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.78089 | + | 5.41421i | 0.0912378 | + | 0.277379i | ||||
\(382\) | 2.72607 | − | 6.58132i | 0.139478 | − | 0.336729i | ||||
\(383\) | 29.1158 | 1.48775 | 0.743874 | − | 0.668320i | \(-0.232986\pi\) | ||||
0.743874 | + | 0.668320i | \(0.232986\pi\) | |||||||
\(384\) | −12.7804 | − | 14.8547i | −0.652198 | − | 0.758049i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −10.6853 | + | 25.7967i | −0.543870 | + | 1.31302i | ||||
\(387\) | 14.5257 | − | 10.7151i | 0.738381 | − | 0.544681i | ||||
\(388\) | −3.85525 | − | 3.85525i | −0.195720 | − | 0.195720i | ||||
\(389\) | −7.55568 | −0.383088 | −0.191544 | − | 0.981484i | \(-0.561350\pi\) | ||||
−0.191544 | + | 0.981484i | \(0.561350\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.65685i | 0.488368i | ||||||||
\(392\) | 10.0042 | − | 4.14386i | 0.505286 | − | 0.209297i | ||||
\(393\) | 11.7996 | + | 35.8728i | 0.595211 | + | 1.80954i | ||||
\(394\) | −6.48528 | + | 15.6569i | −0.326724 | + | 0.788781i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.25576 | − | 14.9420i | 0.113356 | − | 0.750866i | ||||
\(397\) | − | 27.1237i | − | 1.36130i | −0.732609 | − | 0.680650i | \(-0.761697\pi\) | ||
0.732609 | − | 0.680650i | \(-0.238303\pi\) | |||||||
\(398\) | −11.9832 | − | 4.96362i | −0.600665 | − | 0.248804i | ||||
\(399\) | 1.47534 | + | 4.48528i | 0.0738593 | + | 0.224545i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 15.1114i | 0.754625i | 0.926086 | + | 0.377313i | \(0.123152\pi\) | ||||
−0.926086 | + | 0.377313i | \(0.876848\pi\) | |||||||
\(402\) | 0.603305 | − | 8.03782i | 0.0300901 | − | 0.400890i | ||||
\(403\) | 5.45214 | 0.271590 | ||||||||
\(404\) | 18.6731 | + | 18.6731i | 0.929024 | + | 0.929024i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 26.1421 | + | 10.8284i | 1.29741 | + | 0.537406i | ||||
\(407\) | −4.85483 | −0.240645 | ||||||||
\(408\) | −11.8076 | − | 13.7239i | −0.584562 | − | 0.679435i | ||||
\(409\) | 12.8284 | 0.634325 | 0.317162 | − | 0.948371i | \(-0.397270\pi\) | ||||
0.317162 | + | 0.948371i | \(0.397270\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.48528 | − | 19.7164i | −0.319895 | − | 0.972537i | ||||
\(412\) | −8.50894 | + | 8.50894i | −0.419205 | + | 0.419205i | ||||
\(413\) | 8.28772 | 0.407812 | ||||||||
\(414\) | −2.66613 | − | 10.7612i | −0.131033 | − | 0.528884i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 10.0742 | − | 24.3214i | 0.493930 | − | 1.19245i | ||||
\(417\) | −23.8331 | + | 7.83938i | −1.16711 | + | 0.383896i | ||||
\(418\) | −2.72607 | − | 1.12918i | −0.133336 | − | 0.0552298i | ||||
\(419\) | − | 2.51856i | − | 0.123040i | −0.998106 | − | 0.0615199i | \(-0.980405\pi\) | ||
0.998106 | − | 0.0615199i | \(-0.0195948\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 34.8284i | 1.69743i | 0.528848 | + | 0.848717i | \(0.322624\pi\) | ||||
−0.528848 | + | 0.848717i | \(0.677376\pi\) | |||||||
\(422\) | 10.0042 | − | 24.1522i | 0.486995 | − | 1.17571i | ||||
\(423\) | 6.30864 | − | 4.65369i | 0.306737 | − | 0.226270i | ||||
\(424\) | −12.0000 | + | 4.97056i | −0.582772 | + | 0.241392i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 1.30603 | − | 17.4002i | 0.0632771 | − | 0.843040i | ||||
\(427\) | 27.9222 | 1.35125 | ||||||||
\(428\) | 11.9832 | − | 11.9832i | 0.579232 | − | 0.579232i | ||||
\(429\) | 19.2842 | − | 6.34315i | 0.931052 | − | 0.306250i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.2720 | 1.31365 | 0.656824 | − | 0.754044i | \(-0.271899\pi\) | ||||
0.656824 | + | 0.754044i | \(0.271899\pi\) | |||||||
\(432\) | 16.9469 | + | 12.0335i | 0.815356 | + | 0.578960i | ||||
\(433\) | −23.5992 | −1.13410 | −0.567052 | − | 0.823682i | \(-0.691916\pi\) | ||||
−0.567052 | + | 0.823682i | \(0.691916\pi\) | |||||||
\(434\) | 2.08644 | − | 5.03712i | 0.100152 | − | 0.241790i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.686292 | − | 0.686292i | 0.0328674 | − | 0.0328674i | ||||
\(437\) | −2.16478 | −0.103556 | ||||||||
\(438\) | 1.20661 | − | 16.0756i | 0.0576541 | − | 0.768124i | ||||
\(439\) | 28.4853i | 1.35953i | 0.733431 | + | 0.679764i | \(0.237918\pi\) | ||||
−0.733431 | + | 0.679764i | \(0.762082\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −9.24264 | + | 6.81801i | −0.440126 | + | 0.324667i | ||||
\(442\) | 9.30739 | − | 22.4700i | 0.442707 | − | 1.06879i | ||||
\(443\) | 1.60766i | 0.0763821i | 0.999270 | + | 0.0381910i | \(0.0121595\pi\) | ||||
−0.999270 | + | 0.0381910i | \(0.987840\pi\) | |||||||
\(444\) | 3.00994 | − | 5.96062i | 0.142846 | − | 0.282878i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 28.6208 | + | 11.8551i | 1.35524 | + | 0.561357i | ||||
\(447\) | 24.1522 | − | 7.94435i | 1.14236 | − | 0.375755i | ||||
\(448\) | −18.6148 | − | 18.6148i | −0.879465 | − | 0.879465i | ||||
\(449\) | 35.0067i | 1.65207i | 0.563620 | + | 0.826035i | \(0.309408\pi\) | ||||
−0.563620 | + | 0.826035i | \(0.690592\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.6569 | 1.01978 | ||||||||
\(452\) | −12.6173 | + | 12.6173i | −0.593467 | + | 0.593467i | ||||
\(453\) | −1.53073 | − | 4.65369i | −0.0719201 | − | 0.218650i | ||||
\(454\) | 5.41421 | + | 2.24264i | 0.254102 | + | 0.105252i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.07650 | − | 2.64691i | 0.144070 | − | 0.123953i | ||||
\(457\) | 18.6148 | 0.870762 | 0.435381 | − | 0.900246i | \(-0.356614\pi\) | ||||
0.435381 | + | 0.900246i | \(0.356614\pi\) | |||||||
\(458\) | 25.2346 | + | 10.4525i | 1.17913 | + | 0.488413i | ||||
\(459\) | 15.6569 | + | 11.1175i | 0.730799 | + | 0.518919i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.99390 | −0.186014 | −0.0930072 | − | 0.995665i | \(-0.529648\pi\) | ||||
−0.0930072 | + | 0.995665i | \(0.529648\pi\) | |||||||
\(462\) | 1.51946 | − | 20.2437i | 0.0706917 | − | 0.941824i | ||||
\(463\) | − | 25.7607i | − | 1.19720i | −0.801048 | − | 0.598600i | \(-0.795724\pi\) | ||
0.801048 | − | 0.598600i | \(-0.204276\pi\) | |||||||
\(464\) | − | 24.3214i | − | 1.12909i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.8284 | − | 8.62742i | −0.964858 | − | 0.399657i | ||||
\(467\) | − | 15.8645i | − | 0.734120i | −0.930197 | − | 0.367060i | \(-0.880364\pi\) | ||
0.930197 | − | 0.367060i | \(-0.119636\pi\) | |||||||
\(468\) | −4.16810 | + | 27.6093i | −0.192670 | + | 1.27624i | ||||
\(469\) | − | 10.8284i | − | 0.500010i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.12967 | − | 9.51472i | −0.144207 | − | 0.438415i | ||||
\(472\) | −2.72607 | − | 6.58132i | −0.125478 | − | 0.302930i | ||||
\(473\) | 15.1535i | 0.696758i | ||||||||
\(474\) | 40.2673 | + | 3.02239i | 1.84954 | + | 0.138823i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.1978 | − | 17.1978i | −0.788260 | − | 0.788260i | ||||
\(477\) | 11.0866 | − | 8.17821i | 0.507618 | − | 0.374455i | ||||
\(478\) | −12.0335 | + | 29.0513i | −0.550397 | + | 1.32878i | ||||
\(479\) | 19.2842 | 0.881120 | 0.440560 | − | 0.897723i | \(-0.354780\pi\) | ||||
0.440560 | + | 0.897723i | \(0.354780\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.97056 | 0.409022 | ||||||||
\(482\) | −3.50981 | + | 8.47343i | −0.159867 | + | 0.385954i | ||||
\(483\) | −4.65369 | − | 14.1480i | −0.211750 | − | 0.643757i | ||||
\(484\) | −6.58579 | − | 6.58579i | −0.299354 | − | 0.299354i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −20.5167 | − | 8.06619i | −0.930658 | − | 0.365890i | ||||
\(487\) | 8.74280i | 0.396174i | 0.980184 | + | 0.198087i | \(0.0634729\pi\) | ||||
−0.980184 | + | 0.198087i | \(0.936527\pi\) | |||||||
\(488\) | −9.18440 | − | 22.1731i | −0.415758 | − | 1.00373i | ||||
\(489\) | −9.89949 | + | 3.25623i | −0.447671 | + | 0.147252i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 36.9142i | − | 1.66591i | −0.553338 | − | 0.832957i | \(-0.686646\pi\) | ||
0.553338 | − | 0.832957i | \(-0.313354\pi\) | |||||||
\(492\) | −13.4270 | + | 26.5896i | −0.605336 | + | 1.19875i | ||||
\(493\) | − | 22.4700i | − | 1.01200i | ||||||
\(494\) | 5.03712 | + | 2.08644i | 0.226631 | + | 0.0938735i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.68629 | −0.210421 | ||||||||
\(497\) | − | 23.4412i | − | 1.05148i | ||||||
\(498\) | 22.8876 | + | 1.71790i | 1.02562 | + | 0.0769811i | ||||
\(499\) | 37.1127 | 1.66139 | 0.830696 | − | 0.556726i | \(-0.187943\pi\) | ||||
0.830696 | + | 0.556726i | \(0.187943\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 28.6208 | − | 9.41421i | 1.27868 | − | 0.420596i | ||||
\(502\) | −15.3241 | − | 6.34746i | −0.683949 | − | 0.283301i | ||||
\(503\) | 9.63274 | 0.429503 | 0.214751 | − | 0.976669i | \(-0.431106\pi\) | ||||
0.214751 | + | 0.976669i | \(0.431106\pi\) | |||||||
\(504\) | 23.9126 | + | 14.4164i | 1.06515 | + | 0.642159i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 8.59890 | + | 3.56178i | 0.382268 | + | 0.158341i | ||||
\(507\) | −14.2434 | + | 4.68506i | −0.632570 | + | 0.208071i | ||||
\(508\) | 4.65369 | − | 4.65369i | 0.206474 | − | 0.206474i | ||||
\(509\) | 13.2039 | 0.585253 | 0.292626 | − | 0.956227i | \(-0.405471\pi\) | ||||
0.292626 | + | 0.956227i | \(0.405471\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 21.6569i | − | 0.958043i | ||||||
\(512\) | −8.65914 | + | 20.9050i | −0.382683 | + | 0.923880i | ||||
\(513\) | −2.49221 | + | 3.50981i | −0.110034 | + | 0.154962i | ||||
\(514\) | −21.3137 | − | 8.82843i | −0.940107 | − | 0.389405i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −18.6050 | − | 9.39500i | −0.819040 | − | 0.413592i | ||||
\(517\) | 6.58132i | 0.289446i | ||||||||
\(518\) | 3.43289 | − | 8.28772i | 0.150832 | − | 0.364141i | ||||
\(519\) | −35.4388 | + | 11.6569i | −1.55559 | + | 0.511679i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.3956i | 1.50690i | 0.657506 | + | 0.753450i | \(0.271612\pi\) | ||||
−0.657506 | + | 0.753450i | \(0.728388\pi\) | |||||||
\(522\) | 6.20367 | + | 25.0397i | 0.271527 | + | 1.09596i | ||||
\(523\) | 12.5980 | 0.550874 | 0.275437 | − | 0.961319i | \(-0.411177\pi\) | ||||
0.275437 | + | 0.961319i | \(0.411177\pi\) | |||||||
\(524\) | 30.8338 | − | 30.8338i | 1.34698 | − | 1.34698i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.0416 | + | 29.0711i | −0.525040 | + | 1.26756i | ||||
\(527\) | −4.32957 | −0.188599 | ||||||||
\(528\) | −16.5754 | + | 5.45214i | −0.721353 | + | 0.237274i | ||||
\(529\) | −16.1716 | −0.703112 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.48528 | + | 6.08034i | 0.194645 | + | 0.263864i | ||||
\(532\) | 3.85525 | − | 3.85525i | 0.167146 | − | 0.167146i | ||||
\(533\) | −40.0166 | −1.73331 | ||||||||
\(534\) | −12.3038 | − | 0.923499i | −0.532436 | − | 0.0399637i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −8.59890 | + | 3.56178i | −0.371416 | + | 0.153846i | ||||
\(537\) | 5.21828 | + | 15.8645i | 0.225185 | + | 0.684602i | ||||
\(538\) | −5.21828 | + | 12.5980i | −0.224976 | + | 0.543140i | ||||
\(539\) | − | 9.64212i | − | 0.415316i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.0000i | 0.687894i | 0.938989 | + | 0.343947i | \(0.111764\pi\) | ||||
−0.938989 | + | 0.343947i | \(0.888236\pi\) | |||||||
\(542\) | 18.4776 | + | 7.65367i | 0.793680 | + | 0.328753i | ||||
\(543\) | −5.59767 | − | 17.0179i | −0.240219 | − | 0.730307i | ||||
\(544\) | −8.00000 | + | 19.3137i | −0.342997 | + | 0.828068i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −2.80760 | + | 37.4056i | −0.120154 | + | 1.60081i | ||||
\(547\) | 11.0011 | 0.470375 | 0.235188 | − | 0.971950i | \(-0.424430\pi\) | ||||
0.235188 | + | 0.971950i | \(0.424430\pi\) | |||||||
\(548\) | −16.9469 | + | 16.9469i | −0.723934 | + | 0.723934i | ||||
\(549\) | 15.1114 | + | 20.4853i | 0.644937 | + | 0.874291i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.03712 | 0.214589 | ||||||||
\(552\) | −9.70427 | + | 8.34921i | −0.413041 | + | 0.355366i | ||||
\(553\) | 54.2474 | 2.30683 | ||||||||
\(554\) | 19.7164 | + | 8.16679i | 0.837668 | + | 0.346973i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.4853 | + | 20.4853i | 0.868769 | + | 0.868769i | ||||
\(557\) | 4.96362 | 0.210315 | 0.105158 | − | 0.994456i | \(-0.466465\pi\) | ||||
0.105158 | + | 0.994456i | \(0.466465\pi\) | |||||||
\(558\) | 4.82469 | − | 1.19534i | 0.204246 | − | 0.0506026i | ||||
\(559\) | − | 28.0000i | − | 1.18427i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −15.3137 | + | 5.03712i | −0.646545 | + | 0.212667i | ||||
\(562\) | 4.65369 | + | 1.92762i | 0.196304 | + | 0.0813119i | ||||
\(563\) | 21.9874i | 0.926658i | 0.886186 | + | 0.463329i | \(0.153345\pi\) | ||||
−0.886186 | + | 0.463329i | \(0.846655\pi\) | |||||||
\(564\) | −8.08034 | − | 4.08034i | −0.340244 | − | 0.171813i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −9.76869 | + | 23.5837i | −0.410609 | + | 0.991297i | ||||
\(567\) | −28.2960 | − | 8.74280i | −1.18832 | − | 0.367163i | ||||
\(568\) | −18.6148 | + | 7.71049i | −0.781058 | + | 0.323525i | ||||
\(569\) | 15.7225i | 0.659120i | 0.944135 | + | 0.329560i | \(0.106900\pi\) | ||||
−0.944135 | + | 0.329560i | \(0.893100\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.1127 | 0.883539 | 0.441769 | − | 0.897129i | \(-0.354351\pi\) | ||||
0.441769 | + | 0.897129i | \(0.354351\pi\) | |||||||
\(572\) | −16.5754 | − | 16.5754i | −0.693054 | − | 0.693054i | ||||
\(573\) | 8.28772 | − | 2.72607i | 0.346224 | − | 0.113883i | ||||
\(574\) | −15.3137 | + | 36.9706i | −0.639182 | + | 1.54312i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 3.58261 | − | 23.7311i | 0.149276 | − | 0.988796i | ||||
\(577\) | −3.85525 | −0.160496 | −0.0802480 | − | 0.996775i | \(-0.525571\pi\) | ||||
−0.0802480 | + | 0.996775i | \(0.525571\pi\) | |||||||
\(578\) | 1.80930 | − | 4.36803i | 0.0752569 | − | 0.181686i | ||||
\(579\) | −32.4853 | + | 10.6853i | −1.35004 | + | 0.444068i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 30.8338 | 1.27920 | ||||||||
\(582\) | 0.499794 | − | 6.65875i | 0.0207171 | − | 0.276014i | ||||
\(583\) | 11.5657i | 0.479004i | ||||||||
\(584\) | −17.1978 | + | 7.12356i | −0.711650 | + | 0.294775i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.31371 | − | 3.17157i | 0.0542688 | − | 0.131016i | ||||
\(587\) | 7.20533i | 0.297396i | 0.988883 | + | 0.148698i | \(0.0475082\pi\) | ||||
−0.988883 | + | 0.148698i | \(0.952492\pi\) | |||||||
\(588\) | 11.8383 | + | 5.97801i | 0.488204 | + | 0.246529i | ||||
\(589\) | − | 0.970563i | − | 0.0399913i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.7164 | + | 6.48528i | −0.811023 | + | 0.266769i | ||||
\(592\) | −7.71049 | −0.316899 | ||||||||
\(593\) | − | 1.00547i | − | 0.0412897i | −0.999787 | − | 0.0206448i | \(-0.993428\pi\) | ||
0.999787 | − | 0.0206448i | \(-0.00657192\pi\) | |||||||
\(594\) | 15.6743 | − | 9.84107i | 0.643124 | − | 0.403784i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −20.7596 | − | 20.7596i | −0.850346 | − | 0.850346i | ||||
\(597\) | −4.96362 | − | 15.0903i | −0.203147 | − | 0.617603i | ||||
\(598\) | −15.8887 | − | 6.58132i | −0.649737 | − | 0.269130i | ||||
\(599\) | 32.3092 | 1.32012 | 0.660058 | − | 0.751214i | \(-0.270532\pi\) | ||||
0.660058 | + | 0.751214i | \(0.270532\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.5147 | 0.551277 | 0.275638 | − | 0.961261i | \(-0.411111\pi\) | ||||
0.275638 | + | 0.961261i | \(0.411111\pi\) | |||||||
\(602\) | −25.8686 | − | 10.7151i | −1.05433 | − | 0.436716i | ||||
\(603\) | 7.94435 | − | 5.86030i | 0.323519 | − | 0.238650i | ||||
\(604\) | −4.00000 | + | 4.00000i | −0.162758 | + | 0.162758i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.42079 | + | 32.2521i | −0.0983378 | + | 1.31015i | ||||
\(607\) | − | 4.88755i | − | 0.198380i | −0.995069 | − | 0.0991898i | \(-0.968375\pi\) | ||
0.995069 | − | 0.0991898i | \(-0.0316251\pi\) | |||||||
\(608\) | −4.32957 | − | 1.79337i | −0.175587 | − | 0.0727306i | ||||
\(609\) | 10.8284 | + | 32.9203i | 0.438790 | + | 1.33400i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 12.1607i | − | 0.491969i | ||||||
\(612\) | 3.30990 | − | 21.9247i | 0.133795 | − | 0.886252i | ||||
\(613\) | − | 23.2685i | − | 0.939804i | −0.882718 | − | 0.469902i | \(-0.844289\pi\) | ||
0.882718 | − | 0.469902i | \(-0.155711\pi\) | |||||||
\(614\) | −3.86733 | + | 9.33657i | −0.156073 | + | 0.376793i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −21.6569 | + | 8.97056i | −0.872580 | + | 0.361434i | ||||
\(617\) | − | 8.55035i | − | 0.344224i | −0.985077 | − | 0.172112i | \(-0.944941\pi\) | ||
0.985077 | − | 0.172112i | \(-0.0550591\pi\) | |||||||
\(618\) | −14.6966 | − | 1.10310i | −0.591183 | − | 0.0443732i | ||||
\(619\) | 2.48528 | 0.0998919 | 0.0499459 | − | 0.998752i | \(-0.484095\pi\) | ||||
0.0499459 | + | 0.998752i | \(0.484095\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.86123 | − | 11.0711i | 0.315460 | − | 0.444267i | ||||
\(622\) | −18.6148 | + | 44.9400i | −0.746384 | + | 1.80193i | ||||
\(623\) | −16.5754 | −0.664081 | ||||||||
\(624\) | 30.6274 | − | 10.0742i | 1.22608 | − | 0.403292i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 9.21001 | − | 22.2349i | 0.368106 | − | 0.888686i | ||||
\(627\) | −1.12918 | − | 3.43289i | −0.0450949 | − | 0.137096i | ||||
\(628\) | −8.17821 | + | 8.17821i | −0.326346 | + | 0.326346i | ||||
\(629\) | −7.12356 | −0.284035 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.14214i | 0.0852771i | 0.999091 | + | 0.0426385i | \(0.0135764\pi\) | ||||
−0.999091 | + | 0.0426385i | \(0.986424\pi\) | |||||||
\(632\) | −17.8435 | − | 43.0781i | −0.709778 | − | 1.71356i | ||||
\(633\) | 30.4144 | − | 10.0042i | 1.20886 | − | 0.397630i | ||||
\(634\) | −7.17157 | + | 17.3137i | −0.284820 | + | 0.687615i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −14.2001 | − | 7.17063i | −0.563069 | − | 0.284334i | ||||
\(637\) | 17.8163i | 0.705908i | ||||||||
\(638\) | −20.0083 | − | 8.28772i | −0.792137 | − | 0.328114i | ||||
\(639\) | 17.1978 | − | 12.6863i | 0.680335 | − | 0.501862i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 35.0067i | 1.38268i | 0.722529 | + | 0.691341i | \(0.242980\pi\) | ||||
−0.722529 | + | 0.691341i | \(0.757020\pi\) | |||||||
\(642\) | 20.6974 | + | 1.55351i | 0.816859 | + | 0.0613121i | ||||
\(643\) | 35.0681 | 1.38295 | 0.691475 | − | 0.722401i | \(-0.256961\pi\) | ||||
0.691475 | + | 0.722401i | \(0.256961\pi\) | |||||||
\(644\) | −12.1607 | + | 12.1607i | −0.479198 | + | 0.479198i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.00000 | − | 1.65685i | −0.157378 | − | 0.0651881i | ||||
\(647\) | 28.3730 | 1.11546 | 0.557728 | − | 0.830024i | \(-0.311673\pi\) | ||||
0.557728 | + | 0.830024i | \(0.311673\pi\) | |||||||
\(648\) | 2.36469 | + | 25.3458i | 0.0928938 | + | 0.995676i | ||||
\(649\) | −6.34315 | −0.248990 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 6.34315 | − | 2.08644i | 0.248607 | − | 0.0817742i | ||||
\(652\) | 8.50894 | + | 8.50894i | 0.333236 | + | 0.333236i | ||||
\(653\) | 24.2291 | 0.948158 | 0.474079 | − | 0.880482i | \(-0.342781\pi\) | ||||
0.474079 | + | 0.880482i | \(0.342781\pi\) | |||||||
\(654\) | 1.18536 | + | 0.0889709i | 0.0463511 | + | 0.00347904i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 34.3956 | 1.34292 | ||||||||
\(657\) | 15.8887 | − | 11.7206i | 0.619877 | − | 0.457264i | ||||
\(658\) | −11.2350 | − | 4.65369i | −0.437986 | − | 0.181420i | ||||
\(659\) | − | 14.6792i | − | 0.571822i | −0.958256 | − | 0.285911i | \(-0.907704\pi\) | ||
0.958256 | − | 0.285911i | \(-0.0922962\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 44.7696i | − | 1.74133i | −0.491873 | − | 0.870667i | \(-0.663688\pi\) | ||
0.491873 | − | 0.870667i | \(-0.336312\pi\) | |||||||
\(662\) | −10.0042 | + | 24.1522i | −0.388823 | + | 0.938701i | ||||
\(663\) | 28.2960 | − | 9.30739i | 1.09893 | − | 0.361469i | ||||
\(664\) | −10.1421 | − | 24.4853i | −0.393591 | − | 0.950213i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 7.93821 | − | 1.96672i | 0.307599 | − | 0.0762089i | ||||
\(667\) | −15.8887 | −0.615213 | ||||||||
\(668\) | −24.6005 | − | 24.6005i | −0.951823 | − | 0.951823i | ||||
\(669\) | 11.8551 | + | 36.0416i | 0.458346 | + | 1.39345i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −21.3707 | −0.825006 | ||||||||
\(672\) | 2.41322 | − | 32.1513i | 0.0930920 | − | 1.24026i | ||||
\(673\) | −47.6661 | −1.83739 | −0.918697 | − | 0.394964i | \(-0.870757\pi\) | ||||
−0.918697 | + | 0.394964i | \(0.870757\pi\) | |||||||
\(674\) | −15.1114 | + | 36.4821i | −0.582068 | + | 1.40524i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.2426 | + | 12.2426i | 0.470871 | + | 0.470871i | ||||
\(677\) | −1.00547 | −0.0386433 | −0.0193217 | − | 0.999813i | \(-0.506151\pi\) | ||||
−0.0193217 | + | 0.999813i | \(0.506151\pi\) | |||||||
\(678\) | −21.7925 | − | 1.63571i | −0.836935 | − | 0.0628189i | ||||
\(679\) | − | 8.97056i | − | 0.344259i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.24264 | + | 6.81801i | 0.0859382 | + | 0.261267i | ||||
\(682\) | −1.59689 | + | 3.85525i | −0.0611483 | + | 0.147625i | ||||
\(683\) | 14.9678i | 0.572726i | 0.958121 | + | 0.286363i | \(0.0924464\pi\) | ||||
−0.958121 | + | 0.286363i | \(0.907554\pi\) | |||||||
\(684\) | 4.91487 | + | 0.741983i | 0.187925 | + | 0.0283704i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −13.6360 | − | 5.64823i | −0.520626 | − | 0.215650i | ||||
\(687\) | 10.4525 | + | 31.7774i | 0.398788 | + | 1.21238i | ||||
\(688\) | 24.0669i | 0.917542i | ||||||||
\(689\) | − | 21.3707i | − | 0.814159i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.17157 | −0.272819 | −0.136410 | − | 0.990653i | \(-0.543556\pi\) | ||||
−0.136410 | + | 0.990653i | \(0.543556\pi\) | |||||||
\(692\) | 30.4608 | + | 30.4608i | 1.15795 | + | 1.15795i | ||||
\(693\) | 20.0083 | − | 14.7595i | 0.760053 | − | 0.560668i | ||||
\(694\) | −0.242641 | − | 0.100505i | −0.00921051 | − | 0.00381512i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 22.5804 | − | 19.4273i | 0.855906 | − | 0.736391i | ||||
\(697\) | 31.7774 | 1.20365 | ||||||||
\(698\) | 3.06147 | + | 1.26810i | 0.115878 | + | 0.0479983i | ||||
\(699\) | −8.62742 | − | 26.2288i | −0.326319 | − | 0.992065i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.8399 | −1.01373 | −0.506865 | − | 0.862025i | \(-0.669196\pi\) | ||||
−0.506865 | + | 0.862025i | \(0.669196\pi\) | |||||||
\(702\) | −28.9623 | + | 18.1839i | −1.09311 | + | 0.686308i | ||||
\(703\) | − | 1.59689i | − | 0.0602280i | ||||||
\(704\) | 14.2471 | + | 14.2471i | 0.536959 | + | 0.536959i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −42.2843 | − | 17.5147i | −1.59139 | − | 0.659175i | ||||
\(707\) | 43.4495i | 1.63409i | ||||||||
\(708\) | 3.93268 | − | 7.78793i | 0.147799 | − | 0.292688i | ||||
\(709\) | − | 36.2843i | − | 1.36268i | −0.731965 | − | 0.681342i | \(-0.761397\pi\) | ||
0.731965 | − | 0.681342i | \(-0.238603\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 29.3585 | + | 39.7990i | 1.10103 | + | 1.49258i | ||||
\(712\) | 5.45214 | + | 13.1626i | 0.204328 | + | 0.493290i | ||||
\(713\) | 3.06147i | 0.114653i | ||||||||
\(714\) | 2.22952 | − | 29.7039i | 0.0834379 | − | 1.11164i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 13.6360 | − | 13.6360i | 0.509602 | − | 0.509602i | ||||
\(717\) | −36.5838 | + | 12.0335i | −1.36625 | + | 0.449398i | ||||
\(718\) | −4.98442 | + | 12.0335i | −0.186017 | + | 0.449085i | ||||
\(719\) | −2.95068 | −0.110042 | −0.0550208 | − | 0.998485i | \(-0.517523\pi\) | ||||
−0.0550208 | + | 0.998485i | \(0.517523\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.7990 | −0.737353 | ||||||||
\(722\) | −9.91131 | + | 23.9280i | −0.368861 | + | 0.890508i | ||||
\(723\) | −10.6704 | + | 3.50981i | −0.396837 | + | 0.130531i | ||||
\(724\) | −14.6274 | + | 14.6274i | −0.543624 | + | 0.543624i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.853782 | − | 11.3749i | 0.0316868 | − | 0.422163i | ||||
\(727\) | − | 47.1015i | − | 1.74690i | −0.486915 | − | 0.873449i | \(-0.661878\pi\) | ||
0.486915 | − | 0.873449i | \(-0.338122\pi\) | |||||||
\(728\) | 40.0166 | − | 16.5754i | 1.48312 | − | 0.614327i | ||||
\(729\) | −8.89949 | − | 25.4912i | −0.329611 | − | 0.944117i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 22.2349i | 0.822388i | ||||||||
\(732\) | 13.2496 | − | 26.2383i | 0.489719 | − | 0.969795i | ||||
\(733\) | − | 9.63811i | − | 0.355992i | −0.984031 | − | 0.177996i | \(-0.943039\pi\) | ||
0.984031 | − | 0.177996i | \(-0.0569614\pi\) | |||||||
\(734\) | 2.82411 | + | 1.16979i | 0.104240 | + | 0.0431776i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.6569 | + | 5.65685i | 0.503398 | + | 0.208514i | ||||
\(737\) | 8.28772i | 0.305282i | ||||||||
\(738\) | −35.4114 | + | 8.77332i | −1.30351 | + | 0.322950i | ||||
\(739\) | 27.1716 | 0.999522 | 0.499761 | − | 0.866163i | \(-0.333421\pi\) | ||||
0.499761 | + | 0.866163i | \(0.333421\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.08644 | + | 6.34315i | 0.0766474 | + | 0.233021i | ||||
\(742\) | −19.7439 | − | 8.17821i | −0.724823 | − | 0.300232i | ||||
\(743\) | −15.2304 | −0.558750 | −0.279375 | − | 0.960182i | \(-0.590127\pi\) | ||||
−0.279375 | + | 0.960182i | \(0.590127\pi\) | |||||||
\(744\) | −3.74330 | − | 4.35083i | −0.137236 | − | 0.159509i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 31.8771 | + | 13.2039i | 1.16710 | + | 0.483429i | ||||
\(747\) | 16.6871 | + | 22.6215i | 0.610551 | + | 0.827676i | ||||
\(748\) | 13.1626 | + | 13.1626i | 0.481273 | + | 0.481273i | ||||
\(749\) | 27.8832 | 1.01883 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 35.1127i | − | 1.28128i | −0.767841 | − | 0.640640i | \(-0.778669\pi\) | ||
0.767841 | − | 0.640640i | \(-0.221331\pi\) | |||||||
\(752\) | 10.4525i | 0.381164i | ||||||||
\(753\) | −6.34746 | − | 19.2974i | −0.231314 | − | 0.703235i | ||||
\(754\) | 36.9706 | + | 15.3137i | 1.34639 | + | 0.557692i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 5.71637 | + | 33.7164i | 0.207902 | + | 1.22625i | ||||
\(757\) | 12.8319i | 0.466383i | 0.972431 | + | 0.233192i | \(0.0749170\pi\) | ||||
−0.972431 | + | 0.233192i | \(0.925083\pi\) | |||||||
\(758\) | −11.2723 | + | 27.2137i | −0.409427 | + | 0.988444i | ||||
\(759\) | 3.56178 | + | 10.8284i | 0.129284 | + | 0.393047i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 17.1978i | − | 0.623420i | −0.950177 | − | 0.311710i | \(-0.899098\pi\) | ||
0.950177 | − | 0.311710i | \(-0.100902\pi\) | |||||||
\(762\) | 8.03782 | + | 0.603305i | 0.291180 | + | 0.0218554i | ||||
\(763\) | 1.59689 | 0.0578115 | ||||||||
\(764\) | −7.12356 | − | 7.12356i | −0.257722 | − | 0.257722i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.7574 | − | 38.0416i | 0.569337 | − | 1.37450i | ||||
\(767\) | 11.7206 | 0.423207 | ||||||||
\(768\) | −26.3253 | + | 8.65914i | −0.949931 | + | 0.312460i | ||||
\(769\) | 49.5980 | 1.78855 | 0.894274 | − | 0.447519i | \(-0.147692\pi\) | ||||
0.894274 | + | 0.447519i | \(0.147692\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.82843 | − | 26.8399i | −0.317948 | − | 0.966616i | ||||
\(772\) | 27.9222 | + | 27.9222i | 1.00494 | + | 1.00494i | ||||
\(773\) | 18.8490 | 0.677952 | 0.338976 | − | 0.940795i | \(-0.389919\pi\) | ||||
0.338976 | + | 0.940795i | \(0.389919\pi\) | |||||||
\(774\) | −6.13877 | − | 24.7777i | −0.220653 | − | 0.890616i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −7.12356 | + | 2.95068i | −0.255721 | + | 0.105923i | ||||
\(777\) | 10.4366 | − | 3.43289i | 0.374410 | − | 0.123154i | ||||
\(778\) | −4.08910 | + | 9.87197i | −0.146602 | + | 0.353927i | ||||
\(779\) | 7.12356i | 0.255228i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.9411i | 0.641984i | ||||||||
\(782\) | 12.6173 | + | 5.22625i | 0.451193 | + | 0.186890i | ||||
\(783\) | −18.2919 | + | 25.7607i | −0.653699 | + | 0.920611i | ||||
\(784\) | − | 15.3137i | − | 0.546918i | ||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 53.2560 | + | 3.99730i | 1.89958 | + | 0.142579i | ||||
\(787\) | −48.2307 | −1.71924 | −0.859619 | − | 0.510935i | \(-0.829299\pi\) | ||||
−0.859619 | + | 0.510935i | \(0.829299\pi\) | |||||||
\(788\) | 16.9469 | + | 16.9469i | 0.603707 | + | 0.603707i | ||||
\(789\) | −36.6086 | + | 12.0416i | −1.30330 | + | 0.428693i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −29.3585 | −1.04387 | ||||||||
\(792\) | −18.3019 | − | 11.0339i | −0.650330 | − | 0.392071i | ||||
\(793\) | 39.4879 | 1.40226 | ||||||||
\(794\) | −35.4388 | − | 14.6792i | −1.25768 | − | 0.520947i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.9706 | + | 12.9706i | −0.459729 | + | 0.459729i | ||||
\(797\) | −8.92177 | −0.316025 | −0.158013 | − | 0.987437i | \(-0.550509\pi\) | ||||
−0.158013 | + | 0.987437i | \(0.550509\pi\) | |||||||
\(798\) | 6.65875 | + | 0.499794i | 0.235717 | + | 0.0176925i | ||||
\(799\) | 9.65685i | 0.341635i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.97056 | − | 12.1607i | −0.316959 | − | 0.429677i | ||||
\(802\) | 19.7439 | + | 8.17821i | 0.697183 | + | 0.288783i | ||||
\(803\) | 16.5754i | 0.584935i | ||||||||
\(804\) | −10.1754 | − | 5.13829i | −0.358859 | − | 0.181214i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.95068 | − | 7.12356i | 0.103933 | − | 0.250917i | ||||
\(807\) | −15.8645 | + | 5.21828i | −0.558456 | + | 0.183692i | ||||
\(808\) | 34.5035 | − | 14.2918i | 1.21383 | − | 0.502784i | ||||
\(809\) | − | 4.17289i | − | 0.146711i | −0.997306 | − | 0.0733555i | \(-0.976629\pi\) | ||
0.997306 | − | 0.0733555i | \(-0.0233708\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.4853 | −0.508647 | −0.254324 | − | 0.967119i | \(-0.581853\pi\) | ||||
−0.254324 | + | 0.967119i | \(0.581853\pi\) | |||||||
\(812\) | 28.2960 | − | 28.2960i | 0.992996 | − | 0.992996i | ||||
\(813\) | 7.65367 | + | 23.2685i | 0.268426 | + | 0.816061i | ||||
\(814\) | −2.62742 | + | 6.34315i | −0.0920909 | + | 0.222327i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −24.3214 | + | 8.00000i | −0.851418 | + | 0.280056i | ||||
\(817\) | −4.98442 | −0.174383 | ||||||||
\(818\) | 6.94269 | − | 16.7611i | 0.242746 | − | 0.586040i | ||||
\(819\) | −36.9706 | + | 27.2720i | −1.29186 | + | 0.952962i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 23.8893 | 0.833741 | 0.416870 | − | 0.908966i | \(-0.363127\pi\) | ||||
0.416870 | + | 0.908966i | \(0.363127\pi\) | |||||||
\(822\) | −29.2705 | − | 2.19699i | −1.02093 | − | 0.0766289i | ||||
\(823\) | 23.5023i | 0.819239i | 0.912256 | + | 0.409620i | \(0.134339\pi\) | ||||
−0.912256 | + | 0.409620i | \(0.865661\pi\) | |||||||
\(824\) | 6.51246 | + | 15.7225i | 0.226872 | + | 0.547718i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.48528 | − | 10.8284i | 0.156063 | − | 0.376769i | ||||
\(827\) | − | 35.5014i | − | 1.23450i | −0.786766 | − | 0.617252i | \(-0.788246\pi\) | ||
0.786766 | − | 0.617252i | \(-0.211754\pi\) | |||||||
\(828\) | −15.5031 | − | 2.34045i | −0.538769 | − | 0.0813364i | ||||
\(829\) | − | 5.17157i | − | 0.179616i | −0.995959 | − | 0.0898081i | \(-0.971375\pi\) | ||
0.995959 | − | 0.0898081i | \(-0.0286254\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 8.16679 | + | 24.8284i | 0.283303 | + | 0.861289i | ||||
\(832\) | −26.3253 | − | 26.3253i | −0.912664 | − | 0.912664i | ||||
\(833\) | − | 14.1480i | − | 0.490200i | ||||||
\(834\) | −2.65571 | + | 35.3820i | −0.0919598 | + | 1.22518i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −2.95068 | + | 2.95068i | −0.102051 | + | 0.102051i | ||||
\(837\) | 4.96362 | + | 3.52452i | 0.171568 | + | 0.121825i | ||||
\(838\) | −3.29066 | − | 1.36303i | −0.113674 | − | 0.0470853i | ||||
\(839\) | −53.6799 | −1.85323 | −0.926617 | − | 0.376006i | \(-0.877297\pi\) | ||||
−0.926617 | + | 0.376006i | \(0.877297\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.97056 | 0.274847 | ||||||||
\(842\) | 45.5055 | + | 18.8490i | 1.56822 | + | 0.649580i | ||||
\(843\) | 1.92762 | + | 5.86030i | 0.0663908 | + | 0.201840i | ||||
\(844\) | −26.1421 | − | 26.1421i | −0.899849 | − | 0.899849i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −2.66613 | − | 10.7612i | −0.0916634 | − | 0.369978i | ||||
\(847\) | − | 15.3241i | − | 0.526543i | ||||||
\(848\) | 18.3688i | 0.630787i | ||||||||
\(849\) | −29.6985 | + | 9.76869i | −1.01925 | + | 0.335261i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.03712i | 0.172670i | ||||||||
\(852\) | −22.0276 | − | 11.1233i | −0.754652 | − | 0.381078i | ||||
\(853\) | − | 36.4311i | − | 1.24738i | −0.781673 | − | 0.623688i | \(-0.785633\pi\) | ||
0.781673 | − | 0.623688i | \(-0.214367\pi\) | |||||||
\(854\) | 15.1114 | − | 36.4821i | 0.517100 | − | 1.24839i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.17157 | − | 22.1421i | −0.313478 | − | 0.756803i | ||||
\(857\) | − | 28.5587i | − | 0.975546i | −0.872971 | − | 0.487773i | \(-0.837809\pi\) | ||
0.872971 | − | 0.487773i | \(-0.162191\pi\) | |||||||
\(858\) | 2.14884 | − | 28.6290i | 0.0733602 | − | 0.977377i | ||||
\(859\) | −3.85786 | −0.131629 | −0.0658143 | − | 0.997832i | \(-0.520965\pi\) | ||||
−0.0658143 | + | 0.997832i | \(0.520965\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −46.5563 | + | 15.3137i | −1.58663 | + | 0.521890i | ||||
\(862\) | 14.7595 | − | 35.6326i | 0.502711 | − | 1.21365i | ||||
\(863\) | 20.0852 | 0.683710 | 0.341855 | − | 0.939753i | \(-0.388945\pi\) | ||||
0.341855 | + | 0.939753i | \(0.388945\pi\) | |||||||
\(864\) | 24.8940 | − | 15.6297i | 0.846912 | − | 0.531732i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −12.7718 | + | 30.8338i | −0.434003 | + | 1.04778i | ||||
\(867\) | 5.50057 | − | 1.80930i | 0.186809 | − | 0.0614470i | ||||
\(868\) | −5.45214 | − | 5.45214i | −0.185058 | − | 0.185058i | ||||
\(869\) | −41.5192 | −1.40844 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 15.3137i | − | 0.518885i | ||||||
\(872\) | −0.525265 | − | 1.26810i | −0.0177877 | − | 0.0429433i | ||||
\(873\) | 6.58132 | − | 4.85483i | 0.222744 | − | 0.164311i | ||||
\(874\) | −1.17157 | + | 2.82843i | −0.0396290 | + | 0.0956730i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −20.3508 | − | 10.2766i | −0.687591 | − | 0.347214i | ||||
\(877\) | − | 35.3019i | − | 1.19206i | −0.802962 | − | 0.596031i | \(-0.796744\pi\) | ||
0.802962 | − | 0.596031i | \(-0.203256\pi\) | |||||||
\(878\) | 37.2178 | + | 15.4161i | 1.25604 | + | 0.520269i | ||||
\(879\) | 3.99390 | − | 1.31371i | 0.134711 | − | 0.0443103i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 42.9945i | − | 1.44852i | −0.689526 | − | 0.724261i | \(-0.742181\pi\) | ||
0.689526 | − | 0.724261i | \(-0.257819\pi\) | |||||||
\(882\) | 3.90608 | + | 15.7660i | 0.131525 | + | 0.530868i | ||||
\(883\) | −37.7941 | −1.27187 | −0.635937 | − | 0.771741i | \(-0.719386\pi\) | ||||
−0.635937 | + | 0.771741i | \(0.719386\pi\) | |||||||
\(884\) | −24.3214 | − | 24.3214i | −0.818016 | − | 0.818016i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.10051 | + | 0.870058i | 0.0705678 | + | 0.0292302i | ||||
\(887\) | 12.5404 | 0.421064 | 0.210532 | − | 0.977587i | \(-0.432480\pi\) | ||||
0.210532 | + | 0.977587i | \(0.432480\pi\) | |||||||
\(888\) | −6.15896 | − | 7.15854i | −0.206681 | − | 0.240225i | ||||
\(889\) | 10.8284 | 0.363174 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 21.6569 | + | 6.69145i | 0.725532 | + | 0.224172i | ||||
\(892\) | 30.9790 | − | 30.9790i | 1.03725 | − | 1.03725i | ||||
\(893\) | −2.16478 | −0.0724417 | ||||||||
\(894\) | 2.69127 | − | 35.8558i | 0.0900097 | − | 1.19920i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −34.3956 | + | 14.2471i | −1.14908 | + | 0.475963i | ||||
\(897\) | −6.58132 | − | 20.0083i | −0.219744 | − | 0.668059i | ||||
\(898\) | 45.7385 | + | 18.9455i | 1.52631 | + | 0.632219i | ||||
\(899\) | − | 7.12356i | − | 0.237584i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.9706i | 0.565371i | ||||||||
\(902\) | 11.7206 | − | 28.2960i | 0.390253 | − | 0.942155i | ||||
\(903\) | −10.7151 | − | 32.5758i | −0.356577 | − | 1.08406i | ||||
\(904\) | 9.65685 | + | 23.3137i | 0.321182 | + | 0.775402i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −6.90877 | − | 0.518560i | −0.229528 | − | 0.0172280i | ||||
\(907\) | −7.61362 | −0.252806 | −0.126403 | − | 0.991979i | \(-0.540343\pi\) | ||||
−0.126403 | + | 0.991979i | \(0.540343\pi\) | |||||||
\(908\) | 5.86030 | − | 5.86030i | 0.194481 | − | 0.194481i | ||||
\(909\) | −31.8771 | + | 23.5147i | −1.05730 | + | 0.779934i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −2.95068 | −0.0977603 | −0.0488801 | − | 0.998805i | \(-0.515565\pi\) | ||||
−0.0488801 | + | 0.998805i | \(0.515565\pi\) | |||||||
\(912\) | −1.79337 | − | 5.45214i | −0.0593843 | − | 0.180538i | ||||
\(913\) | −23.5992 | −0.781019 | ||||||||
\(914\) | 10.0742 | − | 24.3214i | 0.333226 | − | 0.804479i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 27.3137 | − | 27.3137i | 0.902470 | − | 0.902470i | ||||
\(917\) | 71.7456 | 2.36925 | ||||||||
\(918\) | 22.9991 | − | 14.4399i | 0.759083 | − | 0.476589i | ||||
\(919\) | − | 6.14214i | − | 0.202610i | −0.994855 | − | 0.101305i | \(-0.967698\pi\) | ||
0.994855 | − | 0.101305i | \(-0.0323019\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.7574 | + | 3.86733i | −0.387418 | + | 0.127433i | ||||
\(922\) | −2.16148 | + | 5.21828i | −0.0711846 | + | 0.171855i | ||||
\(923\) | − | 33.1509i | − | 1.09117i | ||||||
\(924\) | −25.6274 | − | 12.9411i | −0.843079 | − | 0.425731i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −33.6579 | − | 13.9416i | −1.10607 | − | 0.458149i | ||||
\(927\) | −10.7151 | − | 14.5257i | −0.351931 | − | 0.477085i | ||||
\(928\) | −31.7774 | − | 13.1626i | −1.04314 | − | 0.432085i | ||||
\(929\) | − | 26.6609i | − | 0.874717i | −0.899287 | − | 0.437359i | \(-0.855914\pi\) | ||
0.899287 | − | 0.437359i | \(-0.144086\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.17157 | 0.103944 | ||||||||
\(932\) | −22.5445 | + | 22.5445i | −0.738471 | + | 0.738471i | ||||
\(933\) | −56.5921 | + | 18.6148i | −1.85274 | + | 0.609420i | ||||
\(934\) | −20.7279 | − | 8.58579i | −0.678238 | − | 0.280936i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 33.8175 | + | 20.3879i | 1.10536 | + | 0.666400i | ||||
\(937\) | −8.17821 | −0.267170 | −0.133585 | − | 0.991037i | \(-0.542649\pi\) | ||||
−0.133585 | + | 0.991037i | \(0.542649\pi\) | |||||||
\(938\) | −14.1480 | − | 5.86030i | −0.461949 | − | 0.191346i | ||||
\(939\) | 28.0000 | − | 9.21001i | 0.913745 | − | 0.300557i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −23.2781 | −0.758846 | −0.379423 | − | 0.925223i | \(-0.623877\pi\) | ||||
−0.379423 | + | 0.925223i | \(0.623877\pi\) | |||||||
\(942\) | −14.1253 | − | 1.06022i | −0.460229 | − | 0.0345440i | ||||
\(943\) | − | 22.4700i | − | 0.731724i | ||||||
\(944\) | −10.0742 | −0.327889 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 19.7990 | + | 8.20101i | 0.643721 | + | 0.266638i | ||||
\(947\) | 21.6160i | 0.702425i | 0.936296 | + | 0.351213i | \(0.114231\pi\) | ||||
−0.936296 | + | 0.351213i | \(0.885769\pi\) | |||||||
\(948\) | 25.7414 | − | 50.9760i | 0.836043 | − | 1.65562i | ||||
\(949\) | − | 30.6274i | − | 0.994208i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −21.8028 | + | 7.17157i | −0.707005 | + | 0.232554i | ||||
\(952\) | −31.7774 | + | 13.1626i | −1.02991 | + | 0.426603i | ||||
\(953\) | 44.0836i | 1.42801i | 0.700142 | + | 0.714004i | \(0.253120\pi\) | ||||
−0.700142 | + | 0.714004i | \(0.746880\pi\) | |||||||
\(954\) | −4.68535 | − | 18.9113i | −0.151694 | − | 0.612276i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 31.4449 | + | 31.4449i | 1.01700 | + | 1.01700i | ||||
\(957\) | −8.28772 | − | 25.1961i | −0.267904 | − | 0.814474i | ||||
\(958\) | 10.4366 | − | 25.1961i | 0.337190 | − | 0.814049i | ||||
\(959\) | −39.4327 | −1.27335 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.6274 | 0.955723 | ||||||||
\(962\) | 4.85483 | − | 11.7206i | 0.156526 | − | 0.377887i | ||||
\(963\) | 15.0903 | + | 20.4567i | 0.486277 | + | 0.659207i | ||||
\(964\) | 9.17157 | + | 9.17157i | 0.295396 | + | 0.295396i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −21.0038 | − | 1.57651i | −0.675788 | − | 0.0507234i | ||||
\(967\) | 55.2797i | 1.77768i | 0.458222 | + | 0.888838i | \(0.348487\pi\) | ||||
−0.458222 | + | 0.888838i | \(0.651513\pi\) | |||||||
\(968\) | −12.1689 | + | 5.04054i | −0.391125 | + | 0.162009i | ||||
\(969\) | −1.65685 | − | 5.03712i | −0.0532258 | − | 0.161816i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 13.8150i | 0.443345i | 0.975121 | + | 0.221672i | \(0.0711516\pi\) | ||||
−0.975121 | + | 0.221672i | \(0.928848\pi\) | |||||||
\(972\) | −21.6426 | + | 22.4410i | −0.694186 | + | 0.719796i | ||||
\(973\) | 47.6661i | 1.52811i | ||||||||
\(974\) | 11.4230 | + | 4.73157i | 0.366017 | + | 0.151609i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −33.9411 | −1.08643 | ||||||||
\(977\) | 33.2597i | 1.06407i | 0.846722 | + | 0.532035i | \(0.178573\pi\) | ||||
−0.846722 | + | 0.532035i | \(0.821427\pi\) | |||||||
\(978\) | −1.10310 | + | 14.6966i | −0.0352732 | + | 0.469945i | ||||
\(979\) | 12.6863 | 0.405456 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.864233 | + | 1.17157i | 0.0275928 | + | 0.0374054i | ||||
\(982\) | −48.2307 | − | 19.9778i | −1.53910 | − | 0.637517i | ||||
\(983\) | 10.0042 | 0.319083 | 0.159542 | − | 0.987191i | \(-0.448998\pi\) | ||||
0.159542 | + | 0.987191i | \(0.448998\pi\) | |||||||
\(984\) | 27.4744 | + | 31.9334i | 0.875852 | + | 1.01800i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −29.3585 | − | 12.1607i | −0.934965 | − | 0.387275i | ||||
\(987\) | −4.65369 | − | 14.1480i | −0.148129 | − | 0.450336i | ||||
\(988\) | 5.45214 | − | 5.45214i | 0.173456 | − | 0.173456i | ||||
\(989\) | 15.7225 | 0.499945 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.7990i | 0.628936i | 0.949268 | + | 0.314468i | \(0.101826\pi\) | ||||
−0.949268 | + | 0.314468i | \(0.898174\pi\) | |||||||
\(992\) | −2.53620 | + | 6.12293i | −0.0805245 | + | 0.194403i | ||||
\(993\) | −30.4144 | + | 10.0042i | −0.965171 | + | 0.317472i | ||||
\(994\) | −30.6274 | − | 12.6863i | −0.971443 | − | 0.402385i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 14.6312 | − | 28.9744i | 0.463608 | − | 0.918088i | ||||
\(997\) | − | 8.50894i | − | 0.269481i | −0.990881 | − | 0.134740i | \(-0.956980\pi\) | ||
0.990881 | − | 0.134740i | \(-0.0430200\pi\) | |||||||
\(998\) | 20.0852 | − | 48.4901i | 0.635787 | − | 1.53493i | ||||
\(999\) | 8.16679 | + | 5.79899i | 0.258386 | + | 0.183472i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))