Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(200,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.200");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.d (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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 7 x^{18} + 32 x^{16} + 128 x^{14} + 423 x^{12} + 1186 x^{10} + 3807 x^{8} + 10368 x^{6} + 23328 x^{4} + 45927 x^{2} + 59049 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 200.15 | ||
Root | \(1.24906 + 1.19993i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 201.200 |
Dual form | 201.2.d.a.200.16 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.18817 | 0.840162 | 0.420081 | − | 0.907487i | \(-0.362002\pi\) | ||||
0.420081 | + | 0.907487i | \(0.362002\pi\) | |||||||
\(3\) | 1.24906 | − | 1.19993i | 0.721147 | − | 0.692782i | ||||
\(4\) | −0.588256 | −0.294128 | ||||||||
\(5\) | 2.08509 | 0.932483 | 0.466241 | − | 0.884658i | \(-0.345608\pi\) | ||||
0.466241 | + | 0.884658i | \(0.345608\pi\) | |||||||
\(6\) | 1.48410 | − | 1.42572i | 0.605880 | − | 0.582049i | ||||
\(7\) | − | 0.284155i | − | 0.107400i | −0.998557 | − | 0.0537002i | \(-0.982898\pi\) | ||
0.998557 | − | 0.0537002i | \(-0.0171015\pi\) | |||||||
\(8\) | −3.07528 | −1.08728 | ||||||||
\(9\) | 0.120318 | − | 2.99759i | 0.0401059 | − | 0.999195i | ||||
\(10\) | 2.47744 | 0.783437 | ||||||||
\(11\) | −1.80373 | −0.543844 | −0.271922 | − | 0.962319i | \(-0.587659\pi\) | ||||
−0.271922 | + | 0.962319i | \(0.587659\pi\) | |||||||
\(12\) | −0.734769 | + | 0.705868i | −0.212109 | + | 0.203767i | ||||
\(13\) | 5.82854i | 1.61655i | 0.588808 | + | 0.808273i | \(0.299597\pi\) | ||||
−0.588808 | + | 0.808273i | \(0.700403\pi\) | |||||||
\(14\) | − | 0.337624i | − | 0.0902337i | ||||||
\(15\) | 2.60442 | − | 2.50198i | 0.672457 | − | 0.646007i | ||||
\(16\) | −2.47744 | −0.619361 | ||||||||
\(17\) | 2.11827i | 0.513757i | 0.966444 | + | 0.256878i | \(0.0826940\pi\) | ||||
−0.966444 | + | 0.256878i | \(0.917306\pi\) | |||||||
\(18\) | 0.142958 | − | 3.56164i | 0.0336954 | − | 0.839486i | ||||
\(19\) | 3.37994 | 0.775411 | 0.387706 | − | 0.921783i | \(-0.373268\pi\) | ||||
0.387706 | + | 0.921783i | \(0.373268\pi\) | |||||||
\(20\) | −1.22657 | −0.274269 | ||||||||
\(21\) | −0.340967 | − | 0.354927i | −0.0744051 | − | 0.0774514i | ||||
\(22\) | −2.14313 | −0.456917 | ||||||||
\(23\) | − | 5.85449i | − | 1.22075i | −0.792114 | − | 0.610373i | \(-0.791020\pi\) | ||
0.792114 | − | 0.610373i | \(-0.208980\pi\) | |||||||
\(24\) | −3.84122 | + | 3.69014i | −0.784087 | + | 0.753246i | ||||
\(25\) | −0.652380 | −0.130476 | ||||||||
\(26\) | 6.92529i | 1.35816i | ||||||||
\(27\) | −3.44662 | − | 3.88855i | −0.663302 | − | 0.748351i | ||||
\(28\) | 0.167156i | 0.0315894i | ||||||||
\(29\) | − | 1.18816i | − | 0.220636i | −0.993896 | − | 0.110318i | \(-0.964813\pi\) | ||
0.993896 | − | 0.110318i | \(-0.0351869\pi\) | |||||||
\(30\) | 3.09448 | − | 2.97277i | 0.564973 | − | 0.542751i | ||||
\(31\) | 9.35599i | 1.68038i | 0.542288 | + | 0.840192i | \(0.317558\pi\) | ||||
−0.542288 | + | 0.840192i | \(0.682442\pi\) | |||||||
\(32\) | 3.20695 | 0.566913 | ||||||||
\(33\) | −2.25297 | + | 2.16435i | −0.392191 | + | 0.376765i | ||||
\(34\) | 2.51687i | 0.431639i | ||||||||
\(35\) | − | 0.592489i | − | 0.100149i | ||||||
\(36\) | −0.0707775 | + | 1.76335i | −0.0117963 | + | 0.293891i | ||||
\(37\) | −9.06621 | −1.49048 | −0.745238 | − | 0.666798i | \(-0.767664\pi\) | ||||
−0.745238 | + | 0.666798i | \(0.767664\pi\) | |||||||
\(38\) | 4.01594 | 0.651471 | ||||||||
\(39\) | 6.99386 | + | 7.28021i | 1.11991 | + | 1.16577i | ||||
\(40\) | −6.41226 | −1.01387 | ||||||||
\(41\) | −6.14602 | −0.959847 | −0.479924 | − | 0.877310i | \(-0.659336\pi\) | ||||
−0.479924 | + | 0.877310i | \(0.659336\pi\) | |||||||
\(42\) | −0.405126 | − | 0.421713i | −0.0625123 | − | 0.0650718i | ||||
\(43\) | − | 1.57889i | − | 0.240779i | −0.992727 | − | 0.120389i | \(-0.961586\pi\) | ||
0.992727 | − | 0.120389i | \(-0.0384143\pi\) | |||||||
\(44\) | 1.06105 | 0.159960 | ||||||||
\(45\) | 0.250874 | − | 6.25025i | 0.0373980 | − | 0.931733i | ||||
\(46\) | − | 6.95612i | − | 1.02562i | ||||||
\(47\) | 3.59553i | 0.524462i | 0.965005 | + | 0.262231i | \(0.0844583\pi\) | ||||
−0.965005 | + | 0.262231i | \(0.915542\pi\) | |||||||
\(48\) | −3.09448 | + | 2.97277i | −0.446650 | + | 0.429082i | ||||
\(49\) | 6.91926 | 0.988465 | ||||||||
\(50\) | −0.775137 | −0.109621 | ||||||||
\(51\) | 2.54179 | + | 2.64586i | 0.355922 | + | 0.370494i | ||||
\(52\) | − | 3.42867i | − | 0.475471i | ||||||
\(53\) | 5.90760 | 0.811471 | 0.405736 | − | 0.913990i | \(-0.367015\pi\) | ||||
0.405736 | + | 0.913990i | \(0.367015\pi\) | |||||||
\(54\) | −4.09517 | − | 4.62025i | −0.557282 | − | 0.628736i | ||||
\(55\) | −3.76094 | −0.507125 | ||||||||
\(56\) | 0.873856i | 0.116774i | ||||||||
\(57\) | 4.22176 | − | 4.05570i | 0.559185 | − | 0.537191i | ||||
\(58\) | − | 1.41174i | − | 0.185370i | ||||||
\(59\) | − | 8.92620i | − | 1.16209i | −0.813871 | − | 0.581046i | \(-0.802644\pi\) | ||
0.813871 | − | 0.581046i | \(-0.197356\pi\) | |||||||
\(60\) | −1.53206 | + | 1.47180i | −0.197788 | + | 0.190009i | ||||
\(61\) | 3.69460i | 0.473046i | 0.971626 | + | 0.236523i | \(0.0760078\pi\) | ||||
−0.971626 | + | 0.236523i | \(0.923992\pi\) | |||||||
\(62\) | 11.1165i | 1.41180i | ||||||||
\(63\) | −0.851778 | − | 0.0341888i | −0.107314 | − | 0.00430739i | ||||
\(64\) | 8.76528 | 1.09566 | ||||||||
\(65\) | 12.1531i | 1.50740i | ||||||||
\(66\) | −2.67691 | + | 2.57162i | −0.329504 | + | 0.316544i | ||||
\(67\) | −1.97202 | − | 7.94425i | −0.240921 | − | 0.970545i | ||||
\(68\) | − | 1.24609i | − | 0.151110i | ||||||
\(69\) | −7.02500 | − | 7.31263i | −0.845711 | − | 0.880337i | ||||
\(70\) | − | 0.703977i | − | 0.0841414i | ||||||
\(71\) | − | 12.9205i | − | 1.53338i | −0.642020 | − | 0.766688i | \(-0.721903\pi\) | ||
0.642020 | − | 0.766688i | \(-0.278097\pi\) | |||||||
\(72\) | −0.370011 | + | 9.21843i | −0.0436062 | + | 1.08640i | ||||
\(73\) | 2.98669 | 0.349566 | 0.174783 | − | 0.984607i | \(-0.444078\pi\) | ||||
0.174783 | + | 0.984607i | \(0.444078\pi\) | |||||||
\(74\) | −10.7722 | −1.25224 | ||||||||
\(75\) | −0.814863 | + | 0.782812i | −0.0940923 | + | 0.0903914i | ||||
\(76\) | −1.98827 | −0.228070 | ||||||||
\(77\) | 0.512537i | 0.0584090i | ||||||||
\(78\) | 8.30988 | + | 8.65012i | 0.940909 | + | 0.979433i | ||||
\(79\) | 2.32354i | 0.261419i | 0.991421 | + | 0.130709i | \(0.0417255\pi\) | ||||
−0.991421 | + | 0.130709i | \(0.958275\pi\) | |||||||
\(80\) | −5.16571 | −0.577543 | ||||||||
\(81\) | −8.97105 | − | 0.721325i | −0.996783 | − | 0.0801472i | ||||
\(82\) | −7.30251 | −0.806427 | ||||||||
\(83\) | − | 10.4066i | − | 1.14228i | −0.820854 | − | 0.571138i | \(-0.806502\pi\) | ||
0.820854 | − | 0.571138i | \(-0.193498\pi\) | |||||||
\(84\) | 0.200576 | + | 0.208788i | 0.0218846 | + | 0.0227806i | ||||
\(85\) | 4.41680i | 0.479070i | ||||||||
\(86\) | − | 1.87599i | − | 0.202293i | ||||||
\(87\) | −1.42571 | − | 1.48409i | −0.152853 | − | 0.159111i | ||||
\(88\) | 5.54697 | 0.591309 | ||||||||
\(89\) | − | 4.96972i | − | 0.526789i | −0.964688 | − | 0.263395i | \(-0.915158\pi\) | ||
0.964688 | − | 0.263395i | \(-0.0848422\pi\) | |||||||
\(90\) | 0.298080 | − | 7.42635i | 0.0314204 | − | 0.782806i | ||||
\(91\) | 1.65621 | 0.173618 | ||||||||
\(92\) | 3.44394i | 0.359055i | ||||||||
\(93\) | 11.2266 | + | 11.6862i | 1.16414 | + | 1.21180i | ||||
\(94\) | 4.27210i | 0.440633i | ||||||||
\(95\) | 7.04749 | 0.723058 | ||||||||
\(96\) | 4.00568 | − | 3.84812i | 0.408828 | − | 0.392748i | ||||
\(97\) | 8.79672i | 0.893171i | 0.894741 | + | 0.446586i | \(0.147360\pi\) | ||||
−0.894741 | + | 0.446586i | \(0.852640\pi\) | |||||||
\(98\) | 8.22124 | 0.830471 | ||||||||
\(99\) | −0.217020 | + | 5.40683i | −0.0218113 | + | 0.543406i | ||||
\(100\) | 0.383766 | 0.0383766 | ||||||||
\(101\) | 8.83225 | 0.878842 | 0.439421 | − | 0.898281i | \(-0.355184\pi\) | ||||
0.439421 | + | 0.898281i | \(0.355184\pi\) | |||||||
\(102\) | 3.02007 | + | 3.14373i | 0.299032 | + | 0.311275i | ||||
\(103\) | 14.5531 | 1.43396 | 0.716982 | − | 0.697092i | \(-0.245523\pi\) | ||||
0.716982 | + | 0.697092i | \(0.245523\pi\) | |||||||
\(104\) | − | 17.9244i | − | 1.75763i | ||||||
\(105\) | −0.710948 | − | 0.740057i | −0.0693814 | − | 0.0722221i | ||||
\(106\) | 7.01922 | 0.681767 | ||||||||
\(107\) | − | 2.82813i | − | 0.273406i | −0.990612 | − | 0.136703i | \(-0.956349\pi\) | ||
0.990612 | − | 0.136703i | \(-0.0436505\pi\) | |||||||
\(108\) | 2.02749 | + | 2.28746i | 0.195096 | + | 0.220111i | ||||
\(109\) | − | 14.9319i | − | 1.43021i | −0.699016 | − | 0.715106i | \(-0.746378\pi\) | ||
0.699016 | − | 0.715106i | \(-0.253622\pi\) | |||||||
\(110\) | −4.46863 | −0.426067 | ||||||||
\(111\) | −11.3243 | + | 10.8789i | −1.07485 | + | 1.03258i | ||||
\(112\) | 0.703977i | 0.0665196i | ||||||||
\(113\) | 6.11810 | 0.575543 | 0.287771 | − | 0.957699i | \(-0.407086\pi\) | ||||
0.287771 | + | 0.957699i | \(0.407086\pi\) | |||||||
\(114\) | 5.01616 | − | 4.81886i | 0.469806 | − | 0.451328i | ||||
\(115\) | − | 12.2072i | − | 1.13832i | ||||||
\(116\) | 0.698943i | 0.0648952i | ||||||||
\(117\) | 17.4715 | + | 0.701276i | 1.61525 | + | 0.0648330i | ||||
\(118\) | − | 10.6058i | − | 0.976345i | ||||||
\(119\) | 0.601918 | 0.0551777 | ||||||||
\(120\) | −8.00932 | + | 7.69429i | −0.731147 | + | 0.702389i | ||||
\(121\) | −7.74657 | −0.704234 | ||||||||
\(122\) | 4.38981i | 0.397435i | ||||||||
\(123\) | −7.67677 | + | 7.37482i | −0.692191 | + | 0.664965i | ||||
\(124\) | − | 5.50371i | − | 0.494248i | ||||||
\(125\) | −11.7857 | −1.05415 | ||||||||
\(126\) | −1.01206 | − | 0.0406221i | −0.0901611 | − | 0.00361890i | ||||
\(127\) | 2.89301 | 0.256714 | 0.128357 | − | 0.991728i | \(-0.459030\pi\) | ||||
0.128357 | + | 0.991728i | \(0.459030\pi\) | |||||||
\(128\) | 4.00074 | 0.353619 | ||||||||
\(129\) | −1.89457 | − | 1.97214i | −0.166807 | − | 0.173637i | ||||
\(130\) | 14.4399i | 1.26646i | ||||||||
\(131\) | 11.7543i | 1.02698i | 0.858096 | + | 0.513490i | \(0.171648\pi\) | ||||
−0.858096 | + | 0.513490i | \(0.828352\pi\) | |||||||
\(132\) | 1.32532 | − | 1.27319i | 0.115354 | − | 0.110817i | ||||
\(133\) | − | 0.960426i | − | 0.0832795i | ||||||
\(134\) | −2.34309 | − | 9.43911i | −0.202412 | − | 0.815415i | ||||
\(135\) | −7.18653 | − | 8.10799i | −0.618518 | − | 0.697825i | ||||
\(136\) | − | 6.51429i | − | 0.558596i | ||||||
\(137\) | −5.72373 | −0.489011 | −0.244505 | − | 0.969648i | \(-0.578626\pi\) | ||||
−0.244505 | + | 0.969648i | \(0.578626\pi\) | |||||||
\(138\) | −8.34688 | − | 8.68863i | −0.710534 | − | 0.739626i | ||||
\(139\) | 9.17061i | 0.777841i | 0.921271 | + | 0.388921i | \(0.127152\pi\) | ||||
−0.921271 | + | 0.388921i | \(0.872848\pi\) | |||||||
\(140\) | 0.348535i | 0.0294566i | ||||||||
\(141\) | 4.31440 | + | 4.49105i | 0.363338 | + | 0.378214i | ||||
\(142\) | − | 15.3517i | − | 1.28828i | ||||||
\(143\) | − | 10.5131i | − | 0.879149i | ||||||
\(144\) | −0.298080 | + | 7.42635i | −0.0248400 | + | 0.618863i | ||||
\(145\) | − | 2.47743i | − | 0.205739i | ||||||
\(146\) | 3.54869 | 0.293692 | ||||||||
\(147\) | 8.64259 | − | 8.30265i | 0.712829 | − | 0.684791i | ||||
\(148\) | 5.33325 | 0.438391 | ||||||||
\(149\) | 12.8862i | 1.05568i | 0.849344 | + | 0.527840i | \(0.176998\pi\) | ||||
−0.849344 | + | 0.527840i | \(0.823002\pi\) | |||||||
\(150\) | −0.968195 | + | 0.930113i | −0.0790528 | + | 0.0759434i | ||||
\(151\) | 13.2071 | 1.07478 | 0.537389 | − | 0.843334i | \(-0.319411\pi\) | ||||
0.537389 | + | 0.843334i | \(0.319411\pi\) | |||||||
\(152\) | −10.3943 | −0.843087 | ||||||||
\(153\) | 6.34971 | + | 0.254866i | 0.513344 | + | 0.0206047i | ||||
\(154\) | 0.608981i | 0.0490731i | ||||||||
\(155\) | 19.5081i | 1.56693i | ||||||||
\(156\) | −4.11418 | − | 4.28263i | −0.329398 | − | 0.342885i | ||||
\(157\) | −11.7999 | −0.941731 | −0.470865 | − | 0.882205i | \(-0.656058\pi\) | ||||
−0.470865 | + | 0.882205i | \(0.656058\pi\) | |||||||
\(158\) | 2.76076i | 0.219634i | ||||||||
\(159\) | 7.37896 | − | 7.08873i | 0.585190 | − | 0.562173i | ||||
\(160\) | 6.68679 | 0.528637 | ||||||||
\(161\) | −1.66358 | −0.131109 | ||||||||
\(162\) | −10.6591 | − | 0.857056i | −0.837459 | − | 0.0673367i | ||||
\(163\) | −4.07931 | −0.319516 | −0.159758 | − | 0.987156i | \(-0.551071\pi\) | ||||
−0.159758 | + | 0.987156i | \(0.551071\pi\) | |||||||
\(164\) | 3.61543 | 0.282318 | ||||||||
\(165\) | −4.69765 | + | 4.51288i | −0.365712 | + | 0.351327i | ||||
\(166\) | − | 12.3648i | − | 0.959697i | ||||||
\(167\) | 5.34158i | 0.413343i | 0.978410 | + | 0.206672i | \(0.0662632\pi\) | ||||
−0.978410 | + | 0.206672i | \(0.933737\pi\) | |||||||
\(168\) | 1.04857 | + | 1.09150i | 0.0808989 | + | 0.0842112i | ||||
\(169\) | −20.9719 | −1.61322 | ||||||||
\(170\) | 5.24791i | 0.402496i | ||||||||
\(171\) | 0.406666 | − | 10.1317i | 0.0310986 | − | 0.774787i | ||||
\(172\) | 0.928792i | 0.0708197i | ||||||||
\(173\) | 24.8155i | 1.88668i | 0.331821 | + | 0.943342i | \(0.392337\pi\) | ||||
−0.331821 | + | 0.943342i | \(0.607663\pi\) | |||||||
\(174\) | −1.69399 | − | 1.76335i | −0.128421 | − | 0.133679i | ||||
\(175\) | 0.185377i | 0.0140132i | ||||||||
\(176\) | 4.46863 | 0.336836 | ||||||||
\(177\) | −10.7108 | − | 11.1494i | −0.805076 | − | 0.838039i | ||||
\(178\) | − | 5.90487i | − | 0.442588i | ||||||
\(179\) | 15.4421 | 1.15420 | 0.577098 | − | 0.816675i | \(-0.304185\pi\) | ||||
0.577098 | + | 0.816675i | \(0.304185\pi\) | |||||||
\(180\) | −0.147578 | + | 3.67675i | −0.0109998 | + | 0.274048i | ||||
\(181\) | −6.79326 | −0.504939 | −0.252469 | − | 0.967605i | \(-0.581243\pi\) | ||||
−0.252469 | + | 0.967605i | \(0.581243\pi\) | |||||||
\(182\) | 1.96785 | 0.145867 | ||||||||
\(183\) | 4.43328 | + | 4.61479i | 0.327718 | + | 0.341135i | ||||
\(184\) | 18.0042i | 1.32729i | ||||||||
\(185\) | −18.9039 | −1.38984 | ||||||||
\(186\) | 13.3391 | + | 13.8852i | 0.978067 | + | 1.01811i | ||||
\(187\) | − | 3.82079i | − | 0.279404i | ||||||
\(188\) | − | 2.11509i | − | 0.154259i | ||||||
\(189\) | −1.10495 | + | 0.979373i | −0.0803732 | + | 0.0712389i | ||||
\(190\) | 8.37361 | 0.607486 | ||||||||
\(191\) | −22.3294 | −1.61570 | −0.807849 | − | 0.589390i | \(-0.799368\pi\) | ||||
−0.807849 | + | 0.589390i | \(0.799368\pi\) | |||||||
\(192\) | 10.9484 | − | 10.5178i | 0.790132 | − | 0.759054i | ||||
\(193\) | −23.6517 | −1.70248 | −0.851242 | − | 0.524773i | \(-0.824150\pi\) | ||||
−0.851242 | + | 0.524773i | \(0.824150\pi\) | |||||||
\(194\) | 10.4520i | 0.750408i | ||||||||
\(195\) | 14.5829 | + | 15.1799i | 1.04430 | + | 1.08706i | ||||
\(196\) | −4.07029 | −0.290735 | ||||||||
\(197\) | 19.5884 | 1.39562 | 0.697809 | − | 0.716284i | \(-0.254158\pi\) | ||||
0.697809 | + | 0.716284i | \(0.254158\pi\) | |||||||
\(198\) | −0.257856 | + | 6.42422i | −0.0183251 | + | 0.456549i | ||||
\(199\) | 12.8766 | 0.912798 | 0.456399 | − | 0.889775i | \(-0.349139\pi\) | ||||
0.456399 | + | 0.889775i | \(0.349139\pi\) | |||||||
\(200\) | 2.00625 | 0.141863 | ||||||||
\(201\) | −11.9958 | − | 7.55658i | −0.846115 | − | 0.533000i | ||||
\(202\) | 10.4942 | 0.738370 | ||||||||
\(203\) | −0.337622 | −0.0236964 | ||||||||
\(204\) | −1.49522 | − | 1.55644i | −0.104686 | − | 0.108973i | ||||
\(205\) | −12.8150 | −0.895041 | ||||||||
\(206\) | 17.2916 | 1.20476 | ||||||||
\(207\) | −17.5493 | − | 0.704398i | −1.21976 | − | 0.0489591i | ||||
\(208\) | − | 14.4399i | − | 1.00123i | ||||||
\(209\) | −6.09649 | −0.421703 | ||||||||
\(210\) | −0.844726 | − | 0.879312i | −0.0582916 | − | 0.0606783i | ||||
\(211\) | −9.41052 | −0.647847 | −0.323923 | − | 0.946083i | \(-0.605002\pi\) | ||||
−0.323923 | + | 0.946083i | \(0.605002\pi\) | |||||||
\(212\) | −3.47518 | −0.238676 | ||||||||
\(213\) | −15.5037 | − | 16.1385i | −1.06230 | − | 1.10579i | ||||
\(214\) | − | 3.36029i | − | 0.229705i | ||||||
\(215\) | − | 3.29214i | − | 0.224522i | ||||||
\(216\) | 10.5993 | + | 11.9584i | 0.721194 | + | 0.813665i | ||||
\(217\) | 2.65855 | 0.180474 | ||||||||
\(218\) | − | 17.7416i | − | 1.20161i | ||||||
\(219\) | 3.73057 | − | 3.58383i | 0.252088 | − | 0.242173i | ||||
\(220\) | 2.21239 | 0.149160 | ||||||||
\(221\) | −12.3464 | −0.830512 | ||||||||
\(222\) | −13.4551 | + | 12.9259i | −0.903050 | + | 0.867531i | ||||
\(223\) | −4.29838 | −0.287841 | −0.143920 | − | 0.989589i | \(-0.545971\pi\) | ||||
−0.143920 | + | 0.989589i | \(0.545971\pi\) | |||||||
\(224\) | − | 0.911269i | − | 0.0608867i | ||||||
\(225\) | −0.0784928 | + | 1.95556i | −0.00523285 | + | 0.130371i | ||||
\(226\) | 7.26934 | 0.483549 | ||||||||
\(227\) | 18.7640i | 1.24541i | 0.782456 | + | 0.622706i | \(0.213967\pi\) | ||||
−0.782456 | + | 0.622706i | \(0.786033\pi\) | |||||||
\(228\) | −2.48347 | + | 2.38579i | −0.164472 | + | 0.158003i | ||||
\(229\) | 18.5224i | 1.22399i | 0.790861 | + | 0.611996i | \(0.209633\pi\) | ||||
−0.790861 | + | 0.611996i | \(0.790367\pi\) | |||||||
\(230\) | − | 14.5042i | − | 0.956377i | ||||||
\(231\) | 0.615011 | + | 0.640191i | 0.0404647 | + | 0.0421215i | ||||
\(232\) | 3.65393i | 0.239892i | ||||||||
\(233\) | −5.72185 | −0.374851 | −0.187426 | − | 0.982279i | \(-0.560014\pi\) | ||||
−0.187426 | + | 0.982279i | \(0.560014\pi\) | |||||||
\(234\) | 20.7591 | + | 0.833234i | 1.35707 | + | 0.0544702i | ||||
\(235\) | 7.49702i | 0.489052i | ||||||||
\(236\) | 5.25088i | 0.341803i | ||||||||
\(237\) | 2.78809 | + | 2.90225i | 0.181106 | + | 0.188521i | ||||
\(238\) | 0.715179 | 0.0463582 | ||||||||
\(239\) | 10.2059 | 0.660163 | 0.330082 | − | 0.943952i | \(-0.392924\pi\) | ||||
0.330082 | + | 0.943952i | \(0.392924\pi\) | |||||||
\(240\) | −6.45229 | + | 6.19850i | −0.416494 | + | 0.400112i | ||||
\(241\) | 24.4388 | 1.57424 | 0.787120 | − | 0.616800i | \(-0.211571\pi\) | ||||
0.787120 | + | 0.616800i | \(0.211571\pi\) | |||||||
\(242\) | −9.20423 | −0.591670 | ||||||||
\(243\) | −12.0709 | + | 9.86368i | −0.774352 | + | 0.632756i | ||||
\(244\) | − | 2.17337i | − | 0.139136i | ||||||
\(245\) | 14.4273 | 0.921727 | ||||||||
\(246\) | −9.12129 | + | 8.76253i | −0.581552 | + | 0.558678i | ||||
\(247\) | 19.7001i | 1.25349i | ||||||||
\(248\) | − | 28.7723i | − | 1.82704i | ||||||
\(249\) | −12.4873 | − | 12.9985i | −0.791349 | − | 0.823749i | ||||
\(250\) | −14.0035 | −0.885656 | ||||||||
\(251\) | −19.6684 | −1.24146 | −0.620730 | − | 0.784025i | \(-0.713164\pi\) | ||||
−0.620730 | + | 0.784025i | \(0.713164\pi\) | |||||||
\(252\) | 0.501063 | + | 0.0201118i | 0.0315640 | + | 0.00126692i | ||||
\(253\) | 10.5599i | 0.663895i | ||||||||
\(254\) | 3.43739 | 0.215681 | ||||||||
\(255\) | 5.29987 | + | 5.51687i | 0.331891 | + | 0.345480i | ||||
\(256\) | −12.7770 | −0.798563 | ||||||||
\(257\) | 16.0646i | 1.00208i | 0.865424 | + | 0.501040i | \(0.167049\pi\) | ||||
−0.865424 | + | 0.501040i | \(0.832951\pi\) | |||||||
\(258\) | −2.25106 | − | 2.34323i | −0.140145 | − | 0.145883i | ||||
\(259\) | 2.57621i | 0.160078i | ||||||||
\(260\) | − | 7.14910i | − | 0.443369i | ||||||
\(261\) | −3.56162 | − | 0.142957i | −0.220458 | − | 0.00884880i | ||||
\(262\) | 13.9661i | 0.862830i | ||||||||
\(263\) | − | 25.0924i | − | 1.54726i | −0.633637 | − | 0.773631i | \(-0.718439\pi\) | ||
0.633637 | − | 0.773631i | \(-0.281561\pi\) | |||||||
\(264\) | 6.92852 | − | 6.65600i | 0.426421 | − | 0.409648i | ||||
\(265\) | 12.3179 | 0.756683 | ||||||||
\(266\) | − | 1.14115i | − | 0.0699682i | ||||||
\(267\) | −5.96334 | − | 6.20750i | −0.364950 | − | 0.379893i | ||||
\(268\) | 1.16005 | + | 4.67325i | 0.0708615 | + | 0.285464i | ||||
\(269\) | − | 32.6631i | − | 1.99151i | −0.0920625 | − | 0.995753i | \(-0.529346\pi\) | ||
0.0920625 | − | 0.995753i | \(-0.470654\pi\) | |||||||
\(270\) | −8.53881 | − | 9.63366i | −0.519655 | − | 0.586286i | ||||
\(271\) | − | 29.8679i | − | 1.81434i | −0.420759 | − | 0.907172i | \(-0.638236\pi\) | ||
0.420759 | − | 0.907172i | \(-0.361764\pi\) | |||||||
\(272\) | − | 5.24791i | − | 0.318201i | ||||||
\(273\) | 2.06871 | − | 1.98734i | 0.125204 | − | 0.120279i | ||||
\(274\) | −6.80075 | −0.410848 | ||||||||
\(275\) | 1.17671 | 0.0709585 | ||||||||
\(276\) | 4.13250 | + | 4.30169i | 0.248747 | + | 0.258932i | ||||
\(277\) | 4.29277 | 0.257927 | 0.128964 | − | 0.991649i | \(-0.458835\pi\) | ||||
0.128964 | + | 0.991649i | \(0.458835\pi\) | |||||||
\(278\) | 10.8962i | 0.653512i | ||||||||
\(279\) | 28.0454 | + | 1.12569i | 1.67903 | + | 0.0673933i | ||||
\(280\) | 1.82207i | 0.108890i | ||||||||
\(281\) | −27.5062 | −1.64088 | −0.820442 | − | 0.571730i | \(-0.806273\pi\) | ||||
−0.820442 | + | 0.571730i | \(0.806273\pi\) | |||||||
\(282\) | 5.12623 | + | 5.33612i | 0.305263 | + | 0.317761i | ||||
\(283\) | 1.67756 | 0.0997205 | 0.0498603 | − | 0.998756i | \(-0.484122\pi\) | ||||
0.0498603 | + | 0.998756i | \(0.484122\pi\) | |||||||
\(284\) | 7.60053i | 0.451009i | ||||||||
\(285\) | 8.80277 | − | 8.45653i | 0.521431 | − | 0.500921i | ||||
\(286\) | − | 12.4913i | − | 0.738627i | ||||||
\(287\) | 1.74642i | 0.103088i | ||||||||
\(288\) | 0.385852 | − | 9.61310i | 0.0227366 | − | 0.566457i | ||||
\(289\) | 12.5129 | 0.736054 | ||||||||
\(290\) | − | 2.94360i | − | 0.172854i | ||||||
\(291\) | 10.5555 | + | 10.9877i | 0.618773 | + | 0.644108i | ||||
\(292\) | −1.75694 | −0.102817 | ||||||||
\(293\) | − | 18.4716i | − | 1.07912i | −0.841947 | − | 0.539560i | \(-0.818591\pi\) | ||
0.841947 | − | 0.539560i | \(-0.181409\pi\) | |||||||
\(294\) | 10.2689 | − | 9.86495i | 0.598892 | − | 0.575335i | ||||
\(295\) | − | 18.6120i | − | 1.08363i | ||||||
\(296\) | 27.8812 | 1.62056 | ||||||||
\(297\) | 6.21676 | + | 7.01388i | 0.360733 | + | 0.406986i | ||||
\(298\) | 15.3110i | 0.886943i | ||||||||
\(299\) | 34.1231 | 1.97339 | ||||||||
\(300\) | 0.479348 | − | 0.460494i | 0.0276752 | − | 0.0265866i | ||||
\(301\) | −0.448649 | −0.0258597 | ||||||||
\(302\) | 15.6923 | 0.902988 | ||||||||
\(303\) | 11.0320 | − | 10.5981i | 0.633774 | − | 0.608846i | ||||
\(304\) | −8.37361 | −0.480259 | ||||||||
\(305\) | 7.70360i | 0.441107i | ||||||||
\(306\) | 7.54453 | + | 0.302824i | 0.431292 | + | 0.0173113i | ||||
\(307\) | 7.26092 | 0.414403 | 0.207201 | − | 0.978298i | \(-0.433564\pi\) | ||||
0.207201 | + | 0.978298i | \(0.433564\pi\) | |||||||
\(308\) | − | 0.301503i | − | 0.0171797i | ||||||
\(309\) | 18.1778 | − | 17.4628i | 1.03410 | − | 0.993424i | ||||
\(310\) | 23.1789i | 1.31647i | ||||||||
\(311\) | 21.0740 | 1.19500 | 0.597499 | − | 0.801870i | \(-0.296161\pi\) | ||||
0.597499 | + | 0.801870i | \(0.296161\pi\) | |||||||
\(312\) | −21.5081 | − | 22.3887i | −1.21766 | − | 1.26751i | ||||
\(313\) | 15.0937i | 0.853146i | 0.904453 | + | 0.426573i | \(0.140279\pi\) | ||||
−0.904453 | + | 0.426573i | \(0.859721\pi\) | |||||||
\(314\) | −14.0202 | −0.791206 | ||||||||
\(315\) | −1.77604 | − | 0.0712869i | −0.100068 | − | 0.00401656i | ||||
\(316\) | − | 1.36684i | − | 0.0768905i | ||||||
\(317\) | 8.49323i | 0.477028i | 0.971139 | + | 0.238514i | \(0.0766602\pi\) | ||||
−0.971139 | + | 0.238514i | \(0.923340\pi\) | |||||||
\(318\) | 8.76745 | − | 8.42260i | 0.491654 | − | 0.472316i | ||||
\(319\) | 2.14312i | 0.119992i | ||||||||
\(320\) | 18.2764 | 1.02168 | ||||||||
\(321\) | −3.39357 | − | 3.53251i | −0.189410 | − | 0.197166i | ||||
\(322\) | −1.97661 | −0.110152 | ||||||||
\(323\) | 7.15964i | 0.398373i | ||||||||
\(324\) | 5.27727 | + | 0.424324i | 0.293182 | + | 0.0235735i | ||||
\(325\) | − | 3.80242i | − | 0.210920i | ||||||
\(326\) | −4.84691 | −0.268445 | ||||||||
\(327\) | −17.9172 | − | 18.6508i | −0.990826 | − | 1.03139i | ||||
\(328\) | 18.9008 | 1.04362 | ||||||||
\(329\) | 1.02169 | 0.0563274 | ||||||||
\(330\) | −5.58160 | + | 5.36206i | −0.307257 | + | 0.295172i | ||||
\(331\) | 14.3805i | 0.790426i | 0.918590 | + | 0.395213i | \(0.129329\pi\) | ||||
−0.918590 | + | 0.395213i | \(0.870671\pi\) | |||||||
\(332\) | 6.12176i | 0.335975i | ||||||||
\(333\) | −1.09083 | + | 27.1768i | −0.0597769 | + | 1.48928i | ||||
\(334\) | 6.34669i | 0.347275i | ||||||||
\(335\) | −4.11185 | − | 16.5645i | −0.224654 | − | 0.905016i | ||||
\(336\) | 0.844726 | + | 0.879312i | 0.0460836 | + | 0.0479704i | ||||
\(337\) | 12.0321i | 0.655428i | 0.944777 | + | 0.327714i | \(0.106278\pi\) | ||||
−0.944777 | + | 0.327714i | \(0.893722\pi\) | |||||||
\(338\) | −24.9181 | −1.35537 | ||||||||
\(339\) | 7.64190 | − | 7.34132i | 0.415051 | − | 0.398726i | ||||
\(340\) | − | 2.59821i | − | 0.140908i | ||||||
\(341\) | − | 16.8756i | − | 0.913867i | ||||||
\(342\) | 0.483188 | − | 12.0381i | 0.0261278 | − | 0.650947i | ||||
\(343\) | − | 3.95522i | − | 0.213562i | ||||||
\(344\) | 4.85554i | 0.261793i | ||||||||
\(345\) | −14.6478 | − | 15.2475i | −0.788611 | − | 0.820899i | ||||
\(346\) | 29.4850i | 1.58512i | ||||||||
\(347\) | −10.7604 | −0.577650 | −0.288825 | − | 0.957382i | \(-0.593265\pi\) | ||||
−0.288825 | + | 0.957382i | \(0.593265\pi\) | |||||||
\(348\) | 0.838685 | + | 0.873023i | 0.0449582 | + | 0.0467990i | ||||
\(349\) | 18.9659 | 1.01522 | 0.507612 | − | 0.861586i | \(-0.330528\pi\) | ||||
0.507612 | + | 0.861586i | \(0.330528\pi\) | |||||||
\(350\) | 0.220259i | 0.0117733i | ||||||||
\(351\) | 22.6646 | − | 20.0888i | 1.20974 | − | 1.07226i | ||||
\(352\) | −5.78445 | −0.308312 | ||||||||
\(353\) | 3.90528 | 0.207857 | 0.103929 | − | 0.994585i | \(-0.466859\pi\) | ||||
0.103929 | + | 0.994585i | \(0.466859\pi\) | |||||||
\(354\) | −12.7263 | − | 13.2473i | −0.676394 | − | 0.704088i | ||||
\(355\) | − | 26.9404i | − | 1.42985i | ||||||
\(356\) | 2.92347i | 0.154943i | ||||||||
\(357\) | 0.751833 | − | 0.722261i | 0.0397912 | − | 0.0382261i | ||||
\(358\) | 18.3478 | 0.969711 | ||||||||
\(359\) | 5.81988i | 0.307162i | 0.988136 | + | 0.153581i | \(0.0490805\pi\) | ||||
−0.988136 | + | 0.153581i | \(0.950919\pi\) | |||||||
\(360\) | −0.771508 | + | 19.2213i | −0.0406620 | + | 1.01305i | ||||
\(361\) | −7.57601 | −0.398737 | ||||||||
\(362\) | −8.07154 | −0.424231 | ||||||||
\(363\) | −9.67596 | + | 9.29537i | −0.507856 | + | 0.487881i | ||||
\(364\) | −0.974273 | −0.0510658 | ||||||||
\(365\) | 6.22754 | 0.325964 | ||||||||
\(366\) | 5.26748 | + | 5.48315i | 0.275336 | + | 0.286609i | ||||
\(367\) | 18.1437i | 0.947092i | 0.880769 | + | 0.473546i | \(0.157026\pi\) | ||||
−0.880769 | + | 0.473546i | \(0.842974\pi\) | |||||||
\(368\) | 14.5042i | 0.756082i | ||||||||
\(369\) | −0.739475 | + | 18.4232i | −0.0384955 | + | 0.959075i | ||||
\(370\) | −22.4610 | −1.16769 | ||||||||
\(371\) | − | 1.67867i | − | 0.0871523i | ||||||
\(372\) | −6.60409 | − | 6.87448i | −0.342406 | − | 0.356425i | ||||
\(373\) | 32.9179i | 1.70442i | 0.523198 | + | 0.852211i | \(0.324739\pi\) | ||||
−0.523198 | + | 0.852211i | \(0.675261\pi\) | |||||||
\(374\) | − | 4.53974i | − | 0.234744i | ||||||
\(375\) | −14.7211 | + | 14.1421i | −0.760197 | + | 0.730296i | ||||
\(376\) | − | 11.0573i | − | 0.570236i | ||||||
\(377\) | 6.92524 | 0.356668 | ||||||||
\(378\) | −1.31287 | + | 1.16366i | −0.0675265 | + | 0.0598522i | ||||
\(379\) | − | 27.1075i | − | 1.39242i | −0.717838 | − | 0.696210i | \(-0.754868\pi\) | ||
0.717838 | − | 0.696210i | \(-0.245132\pi\) | |||||||
\(380\) | −4.14573 | −0.212671 | ||||||||
\(381\) | 3.61356 | − | 3.47143i | 0.185128 | − | 0.177847i | ||||
\(382\) | −26.5311 | −1.35745 | ||||||||
\(383\) | −16.2915 | −0.832458 | −0.416229 | − | 0.909260i | \(-0.636648\pi\) | ||||
−0.416229 | + | 0.909260i | \(0.636648\pi\) | |||||||
\(384\) | 4.99717 | − | 4.80062i | 0.255011 | − | 0.244981i | ||||
\(385\) | 1.06869i | 0.0544654i | ||||||||
\(386\) | −28.1022 | −1.43036 | ||||||||
\(387\) | −4.73286 | − | 0.189969i | −0.240585 | − | 0.00965664i | ||||
\(388\) | − | 5.17472i | − | 0.262706i | ||||||
\(389\) | 11.6479i | 0.590570i | 0.955409 | + | 0.295285i | \(0.0954147\pi\) | ||||
−0.955409 | + | 0.295285i | \(0.904585\pi\) | |||||||
\(390\) | 17.3269 | + | 18.0363i | 0.877382 | + | 0.913305i | ||||
\(391\) | 12.4014 | 0.627166 | ||||||||
\(392\) | −21.2787 | −1.07474 | ||||||||
\(393\) | 14.1044 | + | 14.6819i | 0.711473 | + | 0.740604i | ||||
\(394\) | 23.2744 | 1.17255 | ||||||||
\(395\) | 4.84480i | 0.243768i | ||||||||
\(396\) | 0.127663 | − | 3.18060i | 0.00641532 | − | 0.159831i | ||||
\(397\) | −22.5704 | −1.13278 | −0.566388 | − | 0.824139i | \(-0.691660\pi\) | ||||
−0.566388 | + | 0.824139i | \(0.691660\pi\) | |||||||
\(398\) | 15.2996 | 0.766899 | ||||||||
\(399\) | −1.15245 | − | 1.19963i | −0.0576945 | − | 0.0600567i | ||||
\(400\) | 1.61623 | 0.0808117 | ||||||||
\(401\) | 22.4255 | 1.11987 | 0.559937 | − | 0.828535i | \(-0.310825\pi\) | ||||
0.559937 | + | 0.828535i | \(0.310825\pi\) | |||||||
\(402\) | −14.2530 | − | 8.97849i | −0.710874 | − | 0.447806i | ||||
\(403\) | −54.5317 | −2.71642 | ||||||||
\(404\) | −5.19562 | −0.258492 | ||||||||
\(405\) | −18.7055 | − | 1.50403i | −0.929483 | − | 0.0747359i | ||||
\(406\) | −0.401151 | −0.0199088 | ||||||||
\(407\) | 16.3530 | 0.810587 | ||||||||
\(408\) | −7.81672 | − | 8.13677i | −0.386985 | − | 0.402830i | ||||
\(409\) | − | 5.36804i | − | 0.265433i | −0.991154 | − | 0.132716i | \(-0.957630\pi\) | ||
0.991154 | − | 0.132716i | \(-0.0423699\pi\) | |||||||
\(410\) | −15.2264 | −0.751979 | ||||||||
\(411\) | −7.14930 | + | 6.86809i | −0.352649 | + | 0.338778i | ||||
\(412\) | −8.56097 | −0.421769 | ||||||||
\(413\) | −2.53642 | −0.124809 | ||||||||
\(414\) | −20.8516 | − | 0.836944i | −1.02480 | − | 0.0411336i | ||||
\(415\) | − | 21.6988i | − | 1.06515i | ||||||
\(416\) | 18.6918i | 0.916442i | ||||||||
\(417\) | 11.0041 | + | 11.4547i | 0.538874 | + | 0.560938i | ||||
\(418\) | −7.24365 | −0.354299 | ||||||||
\(419\) | 25.3733i | 1.23957i | 0.784772 | + | 0.619785i | \(0.212780\pi\) | ||||
−0.784772 | + | 0.619785i | \(0.787220\pi\) | |||||||
\(420\) | 0.418219 | + | 0.435343i | 0.0204070 | + | 0.0212425i | ||||
\(421\) | 23.4937 | 1.14501 | 0.572505 | − | 0.819901i | \(-0.305972\pi\) | ||||
0.572505 | + | 0.819901i | \(0.305972\pi\) | |||||||
\(422\) | −11.1813 | −0.544296 | ||||||||
\(423\) | 10.7779 | + | 0.432606i | 0.524040 | + | 0.0210340i | ||||
\(424\) | −18.1675 | −0.882294 | ||||||||
\(425\) | − | 1.38192i | − | 0.0670329i | ||||||
\(426\) | −18.4210 | − | 19.1752i | −0.892500 | − | 0.929042i | ||||
\(427\) | 1.04984 | 0.0508053 | ||||||||
\(428\) | 1.66366i | 0.0804162i | ||||||||
\(429\) | −12.6150 | − | 13.1315i | −0.609058 | − | 0.633995i | ||||
\(430\) | − | 3.91161i | − | 0.188635i | ||||||
\(431\) | 13.7134i | 0.660554i | 0.943884 | + | 0.330277i | \(0.107142\pi\) | ||||
−0.943884 | + | 0.330277i | \(0.892858\pi\) | |||||||
\(432\) | 8.53881 | + | 9.63366i | 0.410824 | + | 0.463500i | ||||
\(433\) | 5.71949i | 0.274861i | 0.990511 | + | 0.137431i | \(0.0438844\pi\) | ||||
−0.990511 | + | 0.137431i | \(0.956116\pi\) | |||||||
\(434\) | 3.15880 | 0.151627 | ||||||||
\(435\) | −2.97275 | − | 3.09447i | −0.142532 | − | 0.148368i | ||||
\(436\) | 8.78375i | 0.420665i | ||||||||
\(437\) | − | 19.7878i | − | 0.946580i | ||||||
\(438\) | 4.43254 | − | 4.25820i | 0.211795 | − | 0.203465i | ||||
\(439\) | 20.4267 | 0.974912 | 0.487456 | − | 0.873148i | \(-0.337925\pi\) | ||||
0.487456 | + | 0.873148i | \(0.337925\pi\) | |||||||
\(440\) | 11.5660 | 0.551385 | ||||||||
\(441\) | 0.832509 | − | 20.7411i | 0.0396433 | − | 0.987670i | ||||
\(442\) | −14.6697 | −0.697764 | ||||||||
\(443\) | −32.1851 | −1.52916 | −0.764580 | − | 0.644529i | \(-0.777053\pi\) | ||||
−0.764580 | + | 0.644529i | \(0.777053\pi\) | |||||||
\(444\) | 6.66157 | − | 6.39955i | 0.316144 | − | 0.303709i | ||||
\(445\) | − | 10.3623i | − | 0.491222i | ||||||
\(446\) | −5.10720 | −0.241833 | ||||||||
\(447\) | 15.4626 | + | 16.0957i | 0.731357 | + | 0.761301i | ||||
\(448\) | − | 2.49070i | − | 0.117674i | ||||||
\(449\) | − | 2.60431i | − | 0.122905i | −0.998110 | − | 0.0614525i | \(-0.980427\pi\) | ||
0.998110 | − | 0.0614525i | \(-0.0195733\pi\) | |||||||
\(450\) | −0.0932627 | + | 2.32354i | −0.00439644 | + | 0.109533i | ||||
\(451\) | 11.0857 | 0.522007 | ||||||||
\(452\) | −3.59901 | −0.169283 | ||||||||
\(453\) | 16.4965 | − | 15.8476i | 0.775073 | − | 0.744587i | ||||
\(454\) | 22.2948i | 1.04635i | ||||||||
\(455\) | 3.45335 | 0.161895 | ||||||||
\(456\) | −12.9831 | + | 12.4724i | −0.607990 | + | 0.584075i | ||||
\(457\) | −2.03308 | −0.0951034 | −0.0475517 | − | 0.998869i | \(-0.515142\pi\) | ||||
−0.0475517 | + | 0.998869i | \(0.515142\pi\) | |||||||
\(458\) | 22.0077i | 1.02835i | ||||||||
\(459\) | 8.23701 | − | 7.30089i | 0.384471 | − | 0.340776i | ||||
\(460\) | 7.18093i | 0.334813i | ||||||||
\(461\) | − | 7.30863i | − | 0.340397i | −0.985410 | − | 0.170198i | \(-0.945559\pi\) | ||
0.985410 | − | 0.170198i | \(-0.0544409\pi\) | |||||||
\(462\) | 0.730736 | + | 0.760655i | 0.0339969 | + | 0.0353889i | ||||
\(463\) | − | 18.7222i | − | 0.870097i | −0.900407 | − | 0.435048i | \(-0.856731\pi\) | ||
0.900407 | − | 0.435048i | \(-0.143269\pi\) | |||||||
\(464\) | 2.94360i | 0.136653i | ||||||||
\(465\) | 23.4085 | + | 24.3669i | 1.08554 | + | 1.12999i | ||||
\(466\) | −6.79853 | −0.314936 | ||||||||
\(467\) | 12.4044i | 0.574005i | 0.957930 | + | 0.287003i | \(0.0926589\pi\) | ||||
−0.957930 | + | 0.287003i | \(0.907341\pi\) | |||||||
\(468\) | −10.2777 | − | 0.412530i | −0.475089 | − | 0.0190692i | ||||
\(469\) | −2.25740 | + | 0.560359i | −0.104237 | + | 0.0258750i | ||||
\(470\) | 8.90773i | 0.410883i | ||||||||
\(471\) | −14.7388 | + | 14.1590i | −0.679126 | + | 0.652414i | ||||
\(472\) | 27.4506i | 1.26352i | ||||||||
\(473\) | 2.84789i | 0.130946i | ||||||||
\(474\) | 3.31273 | + | 3.44836i | 0.152159 | + | 0.158388i | ||||
\(475\) | −2.20500 | −0.101173 | ||||||||
\(476\) | −0.354081 | −0.0162293 | ||||||||
\(477\) | 0.710789 | − | 17.7085i | 0.0325448 | − | 0.810818i | ||||
\(478\) | 12.1263 | 0.554644 | ||||||||
\(479\) | − | 26.6194i | − | 1.21627i | −0.793832 | − | 0.608137i | \(-0.791917\pi\) | ||
0.793832 | − | 0.608137i | \(-0.208083\pi\) | |||||||
\(480\) | 8.35222 | − | 8.02370i | 0.381225 | − | 0.366230i | ||||
\(481\) | − | 52.8428i | − | 2.40942i | ||||||
\(482\) | 29.0374 | 1.32262 | ||||||||
\(483\) | −2.07792 | + | 1.99619i | −0.0945485 | + | 0.0908296i | ||||
\(484\) | 4.55696 | 0.207135 | ||||||||
\(485\) | 18.3420i | 0.832867i | ||||||||
\(486\) | −14.3423 | + | 11.7197i | −0.650581 | + | 0.531617i | ||||
\(487\) | 1.99331i | 0.0903256i | 0.998980 | + | 0.0451628i | \(0.0143807\pi\) | ||||
−0.998980 | + | 0.0451628i | \(0.985619\pi\) | |||||||
\(488\) | − | 11.3620i | − | 0.514332i | ||||||
\(489\) | −5.09531 | + | 4.89490i | −0.230418 | + | 0.221355i | ||||
\(490\) | 17.1421 | 0.774400 | ||||||||
\(491\) | 5.02744i | 0.226885i | 0.993545 | + | 0.113443i | \(0.0361878\pi\) | ||||
−0.993545 | + | 0.113443i | \(0.963812\pi\) | |||||||
\(492\) | 4.51590 | − | 4.33828i | 0.203593 | − | 0.195585i | ||||
\(493\) | 2.51685 | 0.113353 | ||||||||
\(494\) | 23.4070i | 1.05313i | ||||||||
\(495\) | −0.452508 | + | 11.2737i | −0.0203387 | + | 0.506717i | ||||
\(496\) | − | 23.1789i | − | 1.04076i | ||||||
\(497\) | −3.67141 | −0.164685 | ||||||||
\(498\) | −14.8370 | − | 15.4445i | −0.664861 | − | 0.692083i | ||||
\(499\) | − | 16.1557i | − | 0.723227i | −0.932328 | − | 0.361614i | \(-0.882226\pi\) | ||
0.932328 | − | 0.361614i | \(-0.117774\pi\) | |||||||
\(500\) | 6.93303 | 0.310055 | ||||||||
\(501\) | 6.40954 | + | 6.67196i | 0.286357 | + | 0.298081i | ||||
\(502\) | −23.3694 | −1.04303 | ||||||||
\(503\) | 30.1953 | 1.34634 | 0.673170 | − | 0.739488i | \(-0.264932\pi\) | ||||
0.673170 | + | 0.739488i | \(0.264932\pi\) | |||||||
\(504\) | 2.61946 | + | 0.105140i | 0.116680 | + | 0.00468332i | ||||
\(505\) | 18.4161 | 0.819505 | ||||||||
\(506\) | 12.5469i | 0.557779i | ||||||||
\(507\) | −26.1952 | + | 25.1648i | −1.16337 | + | 1.11761i | ||||
\(508\) | −1.70183 | −0.0755066 | ||||||||
\(509\) | 26.3273i | 1.16694i | 0.812135 | + | 0.583469i | \(0.198305\pi\) | ||||
−0.812135 | + | 0.583469i | \(0.801695\pi\) | |||||||
\(510\) | 6.29714 | + | 6.55497i | 0.278842 | + | 0.290259i | ||||
\(511\) | − | 0.848683i | − | 0.0375435i | ||||||
\(512\) | −23.1827 | −1.02454 | ||||||||
\(513\) | −11.6494 | − | 13.1431i | −0.514332 | − | 0.580280i | ||||
\(514\) | 19.0874i | 0.841909i | ||||||||
\(515\) | 30.3447 | 1.33715 | ||||||||
\(516\) | 1.11449 | + | 1.16012i | 0.0490626 | + | 0.0510714i | ||||
\(517\) | − | 6.48535i | − | 0.285226i | ||||||
\(518\) | 3.06097i | 0.134491i | ||||||||
\(519\) | 29.7769 | + | 30.9961i | 1.30706 | + | 1.36058i | ||||
\(520\) | − | 37.3741i | − | 1.63896i | ||||||
\(521\) | 29.4500 | 1.29023 | 0.645113 | − | 0.764087i | \(-0.276810\pi\) | ||||
0.645113 | + | 0.764087i | \(0.276810\pi\) | |||||||
\(522\) | −4.23180 | − | 0.169857i | −0.185221 | − | 0.00743443i | ||||
\(523\) | 30.4914 | 1.33329 | 0.666647 | − | 0.745373i | \(-0.267729\pi\) | ||||
0.666647 | + | 0.745373i | \(0.267729\pi\) | |||||||
\(524\) | − | 6.91455i | − | 0.302063i | ||||||
\(525\) | 0.222440 | + | 0.231547i | 0.00970807 | + | 0.0101055i | ||||
\(526\) | − | 29.8139i | − | 1.29995i | ||||||
\(527\) | −19.8185 | −0.863309 | ||||||||
\(528\) | 5.58160 | − | 5.36206i | 0.242908 | − | 0.233354i | ||||
\(529\) | −11.2750 | −0.490219 | ||||||||
\(530\) | 14.6357 | 0.635736 | ||||||||
\(531\) | −26.7570 | − | 1.07398i | −1.16116 | − | 0.0466067i | ||||
\(532\) | 0.564976i | 0.0244948i | ||||||||
\(533\) | − | 35.8223i | − | 1.55164i | ||||||
\(534\) | −7.08545 | − | 7.37555i | −0.306617 | − | 0.319171i | ||||
\(535\) | − | 5.89692i | − | 0.254946i | ||||||
\(536\) | 6.06453 | + | 24.4308i | 0.261948 | + | 1.05525i | ||||
\(537\) | 19.2881 | − | 18.5295i | 0.832345 | − | 0.799606i | ||||
\(538\) | − | 38.8093i | − | 1.67319i | ||||||
\(539\) | −12.4804 | −0.537571 | ||||||||
\(540\) | 4.22752 | + | 4.76957i | 0.181923 | + | 0.205250i | ||||
\(541\) | 28.7585i | 1.23643i | 0.786011 | + | 0.618213i | \(0.212143\pi\) | ||||
−0.786011 | + | 0.618213i | \(0.787857\pi\) | |||||||
\(542\) | − | 35.4881i | − | 1.52434i | ||||||
\(543\) | −8.48521 | + | 8.15146i | −0.364135 | + | 0.349813i | ||||
\(544\) | 6.79319i | 0.291256i | ||||||||
\(545\) | − | 31.1343i | − | 1.33365i | ||||||
\(546\) | 2.45797 | − | 2.36129i | 0.105191 | − | 0.101054i | ||||
\(547\) | 11.4401i | 0.489142i | 0.969631 | + | 0.244571i | \(0.0786471\pi\) | ||||
−0.969631 | + | 0.244571i | \(0.921353\pi\) | |||||||
\(548\) | 3.36701 | 0.143832 | ||||||||
\(549\) | 11.0749 | + | 0.444526i | 0.472665 | + | 0.0189719i | ||||
\(550\) | 1.39813 | 0.0596167 | ||||||||
\(551\) | − | 4.01591i | − | 0.171084i | ||||||
\(552\) | 21.6039 | + | 22.4884i | 0.919522 | + | 0.957170i | ||||
\(553\) | 0.660245 | 0.0280765 | ||||||||
\(554\) | 5.10053 | 0.216701 | ||||||||
\(555\) | −23.6122 | + | 22.6834i | −1.00228 | + | 0.962859i | ||||
\(556\) | − | 5.39466i | − | 0.228785i | ||||||
\(557\) | − | 23.2899i | − | 0.986823i | −0.869796 | − | 0.493411i | \(-0.835750\pi\) | ||
0.869796 | − | 0.493411i | \(-0.164250\pi\) | |||||||
\(558\) | 33.3226 | + | 1.33751i | 1.41066 | + | 0.0566213i | ||||
\(559\) | 9.20263 | 0.389230 | ||||||||
\(560\) | 1.46786i | 0.0620284i | ||||||||
\(561\) | −4.58469 | − | 4.77240i | −0.193566 | − | 0.201491i | ||||
\(562\) | −32.6820 | −1.37861 | ||||||||
\(563\) | −32.6882 | −1.37764 | −0.688822 | − | 0.724930i | \(-0.741872\pi\) | ||||
−0.688822 | + | 0.724930i | \(0.741872\pi\) | |||||||
\(564\) | −2.53797 | − | 2.64188i | −0.106868 | − | 0.111243i | ||||
\(565\) | 12.7568 | 0.536684 | ||||||||
\(566\) | 1.99322 | 0.0837814 | ||||||||
\(567\) | −0.204968 | + | 2.54916i | −0.00860784 | + | 0.107055i | ||||
\(568\) | 39.7341i | 1.66720i | ||||||||
\(569\) | − | 27.4431i | − | 1.15047i | −0.817987 | − | 0.575237i | \(-0.804910\pi\) | ||
0.817987 | − | 0.575237i | \(-0.195090\pi\) | |||||||
\(570\) | 10.4592 | − | 10.0478i | 0.438086 | − | 0.420855i | ||||
\(571\) | −6.20555 | −0.259694 | −0.129847 | − | 0.991534i | \(-0.541449\pi\) | ||||
−0.129847 | + | 0.991534i | \(0.541449\pi\) | |||||||
\(572\) | 6.18438i | 0.258582i | ||||||||
\(573\) | −27.8908 | + | 26.7938i | −1.16516 | + | 1.11933i | ||||
\(574\) | 2.07504i | 0.0866106i | ||||||||
\(575\) | 3.81935i | 0.159278i | ||||||||
\(576\) | 1.05462 | − | 26.2747i | 0.0439424 | − | 1.09478i | ||||
\(577\) | − | 21.8157i | − | 0.908198i | −0.890951 | − | 0.454099i | \(-0.849961\pi\) | ||
0.890951 | − | 0.454099i | \(-0.150039\pi\) | |||||||
\(578\) | 14.8675 | 0.618404 | ||||||||
\(579\) | −29.5424 | + | 28.3804i | −1.22774 | + | 1.17945i | ||||
\(580\) | 1.45736i | 0.0605136i | ||||||||
\(581\) | −2.95709 | −0.122681 | ||||||||
\(582\) | 12.5417 | + | 13.0552i | 0.519870 | + | 0.541155i | ||||
\(583\) | −10.6557 | −0.441314 | ||||||||
\(584\) | −9.18493 | −0.380075 | ||||||||
\(585\) | 36.4298 | + | 1.46223i | 1.50619 | + | 0.0604557i | ||||
\(586\) | − | 21.9473i | − | 0.906635i | ||||||
\(587\) | −22.8171 | −0.941761 | −0.470881 | − | 0.882197i | \(-0.656064\pi\) | ||||
−0.470881 | + | 0.882197i | \(0.656064\pi\) | |||||||
\(588\) | −5.08405 | + | 4.88408i | −0.209663 | + | 0.201416i | ||||
\(589\) | 31.6227i | 1.30299i | ||||||||
\(590\) | − | 22.1141i | − | 0.910425i | ||||||
\(591\) | 24.4672 | − | 23.5048i | 1.00645 | − | 0.966860i | ||||
\(592\) | 22.4610 | 0.923143 | ||||||||
\(593\) | −23.2240 | −0.953695 | −0.476847 | − | 0.878986i | \(-0.658221\pi\) | ||||
−0.476847 | + | 0.878986i | \(0.658221\pi\) | |||||||
\(594\) | 7.38656 | + | 8.33367i | 0.303074 | + | 0.341934i | ||||
\(595\) | 1.25506 | 0.0514522 | ||||||||
\(596\) | − | 7.58040i | − | 0.310505i | ||||||
\(597\) | 16.0837 | − | 15.4511i | 0.658262 | − | 0.632370i | ||||
\(598\) | 40.5440 | 1.65797 | ||||||||
\(599\) | −18.3890 | −0.751355 | −0.375678 | − | 0.926750i | \(-0.622590\pi\) | ||||
−0.375678 | + | 0.926750i | \(0.622590\pi\) | |||||||
\(600\) | 2.50594 | − | 2.40737i | 0.102304 | − | 0.0982805i | ||||
\(601\) | 16.5923 | 0.676814 | 0.338407 | − | 0.941000i | \(-0.390112\pi\) | ||||
0.338407 | + | 0.941000i | \(0.390112\pi\) | |||||||
\(602\) | −0.533071 | −0.0217264 | ||||||||
\(603\) | −24.0508 | + | 4.95547i | −0.979426 | + | 0.201802i | ||||
\(604\) | −7.76915 | −0.316122 | ||||||||
\(605\) | −16.1523 | −0.656686 | ||||||||
\(606\) | 13.1079 | − | 12.5924i | 0.532473 | − | 0.511529i | ||||
\(607\) | 21.3350 | 0.865961 | 0.432981 | − | 0.901403i | \(-0.357462\pi\) | ||||
0.432981 | + | 0.901403i | \(0.357462\pi\) | |||||||
\(608\) | 10.8393 | 0.439591 | ||||||||
\(609\) | −0.421711 | + | 0.405124i | −0.0170886 | + | 0.0164164i | ||||
\(610\) | 9.15318i | 0.370601i | ||||||||
\(611\) | −20.9567 | −0.847817 | ||||||||
\(612\) | −3.73525 | − | 0.149926i | −0.150989 | − | 0.00606041i | ||||
\(613\) | 23.0971 | 0.932884 | 0.466442 | − | 0.884552i | \(-0.345536\pi\) | ||||
0.466442 | + | 0.884552i | \(0.345536\pi\) | |||||||
\(614\) | 8.62720 | 0.348165 | ||||||||
\(615\) | −16.0068 | + | 15.3772i | −0.645456 | + | 0.620068i | ||||
\(616\) | − | 1.57620i | − | 0.0635068i | ||||||
\(617\) | 15.1138i | 0.608460i | 0.952599 | + | 0.304230i | \(0.0983991\pi\) | ||||
−0.952599 | + | 0.304230i | \(0.901601\pi\) | |||||||
\(618\) | 21.5983 | − | 20.7488i | 0.868810 | − | 0.834637i | ||||
\(619\) | −29.4064 | −1.18194 | −0.590972 | − | 0.806692i | \(-0.701256\pi\) | ||||
−0.590972 | + | 0.806692i | \(0.701256\pi\) | |||||||
\(620\) | − | 11.4758i | − | 0.460878i | ||||||
\(621\) | −22.7655 | + | 20.1782i | −0.913547 | + | 0.809723i | ||||
\(622\) | 25.0395 | 1.00399 | ||||||||
\(623\) | −1.41217 | −0.0565774 | ||||||||
\(624\) | −17.3269 | − | 18.0363i | −0.693631 | − | 0.722031i | ||||
\(625\) | −21.3125 | −0.852500 | ||||||||
\(626\) | 17.9339i | 0.716781i | ||||||||
\(627\) | −7.61490 | + | 7.31538i | −0.304110 | + | 0.292148i | ||||
\(628\) | 6.94133 | 0.276989 | ||||||||
\(629\) | − | 19.2047i | − | 0.765743i | ||||||
\(630\) | −2.11023 | − | 0.0847009i | −0.0840737 | − | 0.00337456i | ||||
\(631\) | − | 38.5932i | − | 1.53637i | −0.640227 | − | 0.768186i | \(-0.721160\pi\) | ||
0.640227 | − | 0.768186i | \(-0.278840\pi\) | |||||||
\(632\) | − | 7.14554i | − | 0.284234i | ||||||
\(633\) | −11.7543 | + | 11.2920i | −0.467193 | + | 0.448817i | ||||
\(634\) | 10.0914i | 0.400780i | ||||||||
\(635\) | 6.03221 | 0.239381 | ||||||||
\(636\) | −4.34072 | + | 4.16998i | −0.172121 | + | 0.165351i | ||||
\(637\) | 40.3292i | 1.59790i | ||||||||
\(638\) | 2.54638i | 0.100812i | ||||||||
\(639\) | −38.7302 | − | 1.55456i | −1.53214 | − | 0.0614974i | ||||
\(640\) | 8.34192 | 0.329743 | ||||||||
\(641\) | 44.8759 | 1.77249 | 0.886245 | − | 0.463216i | \(-0.153305\pi\) | ||||
0.886245 | + | 0.463216i | \(0.153305\pi\) | |||||||
\(642\) | −4.03213 | − | 4.19722i | −0.159135 | − | 0.165651i | ||||
\(643\) | −0.785522 | −0.0309780 | −0.0154890 | − | 0.999880i | \(-0.504930\pi\) | ||||
−0.0154890 | + | 0.999880i | \(0.504930\pi\) | |||||||
\(644\) | 0.978611 | 0.0385627 | ||||||||
\(645\) | −3.95035 | − | 4.11209i | −0.155545 | − | 0.161913i | ||||
\(646\) | 8.50686i | 0.334698i | ||||||||
\(647\) | −7.38168 | −0.290204 | −0.145102 | − | 0.989417i | \(-0.546351\pi\) | ||||
−0.145102 | + | 0.989417i | \(0.546351\pi\) | |||||||
\(648\) | 27.5885 | + | 2.21828i | 1.08378 | + | 0.0871422i | ||||
\(649\) | 16.1004i | 0.631996i | ||||||||
\(650\) | − | 4.51792i | − | 0.177207i | ||||||
\(651\) | 3.32069 | − | 3.19008i | 0.130148 | − | 0.125029i | ||||
\(652\) | 2.39968 | 0.0939786 | ||||||||
\(653\) | 32.4608 | 1.27029 | 0.635144 | − | 0.772394i | \(-0.280941\pi\) | ||||
0.635144 | + | 0.772394i | \(0.280941\pi\) | |||||||
\(654\) | −21.2887 | − | 22.1603i | −0.832454 | − | 0.866538i | ||||
\(655\) | 24.5089i | 0.957641i | ||||||||
\(656\) | 15.2264 | 0.594492 | ||||||||
\(657\) | 0.359352 | − | 8.95287i | 0.0140197 | − | 0.349285i | ||||
\(658\) | 1.21394 | 0.0473242 | ||||||||
\(659\) | − | 25.2488i | − | 0.983554i | −0.870721 | − | 0.491777i | \(-0.836348\pi\) | ||
0.870721 | − | 0.491777i | \(-0.163652\pi\) | |||||||
\(660\) | 2.76342 | − | 2.65473i | 0.107566 | − | 0.103335i | ||||
\(661\) | − | 34.1358i | − | 1.32773i | −0.747854 | − | 0.663863i | \(-0.768916\pi\) | ||
0.747854 | − | 0.663863i | \(-0.231084\pi\) | |||||||
\(662\) | 17.0865i | 0.664086i | ||||||||
\(663\) | −15.4215 | + | 14.8149i | −0.598921 | + | 0.575364i | ||||
\(664\) | 32.0034i | 1.24197i | ||||||||
\(665\) | − | 2.00258i | − | 0.0776567i | ||||||
\(666\) | −1.29608 | + | 32.2906i | −0.0502223 | + | 1.25123i | ||||
\(667\) | −6.95608 | −0.269340 | ||||||||
\(668\) | − | 3.14221i | − | 0.121576i | ||||||
\(669\) | −5.36895 | + | 5.15777i | −0.207575 | + | 0.199411i | ||||
\(670\) | −4.88557 | − | 19.6814i | −0.188746 | − | 0.760360i | ||||
\(671\) | − | 6.66405i | − | 0.257263i | ||||||
\(672\) | −1.09346 | − | 1.13823i | −0.0421812 | − | 0.0439083i | ||||
\(673\) | − | 36.3860i | − | 1.40258i | −0.712878 | − | 0.701288i | \(-0.752609\pi\) | ||
0.712878 | − | 0.701288i | \(-0.247391\pi\) | |||||||
\(674\) | 14.2961i | 0.550666i | ||||||||
\(675\) | 2.24851 | + | 2.53681i | 0.0865450 | + | 0.0976418i | ||||
\(676\) | 12.3368 | 0.474493 | ||||||||
\(677\) | −28.0827 | −1.07931 | −0.539654 | − | 0.841887i | \(-0.681445\pi\) | ||||
−0.539654 | + | 0.841887i | \(0.681445\pi\) | |||||||
\(678\) | 9.07986 | − | 8.72273i | 0.348710 | − | 0.334994i | ||||
\(679\) | 2.49963 | 0.0959269 | ||||||||
\(680\) | − | 13.5829i | − | 0.520881i | ||||||
\(681\) | 22.5156 | + | 23.4375i | 0.862800 | + | 0.898126i | ||||
\(682\) | − | 20.0511i | − | 0.767796i | ||||||
\(683\) | −33.9446 | −1.29885 | −0.649427 | − | 0.760424i | \(-0.724991\pi\) | ||||
−0.649427 | + | 0.760424i | \(0.724991\pi\) | |||||||
\(684\) | −0.239224 | + | 5.96001i | −0.00914695 | + | 0.227887i | ||||
\(685\) | −11.9345 | −0.455994 | ||||||||
\(686\) | − | 4.69947i | − | 0.179427i | ||||||
\(687\) | 22.2256 | + | 23.1356i | 0.847960 | + | 0.882679i | ||||
\(688\) | 3.91161i | 0.149129i | ||||||||
\(689\) | 34.4327i | 1.31178i | ||||||||
\(690\) | −17.4040 | − | 18.1166i | −0.662561 | − | 0.689688i | ||||
\(691\) | −46.2852 | −1.76077 | −0.880387 | − | 0.474257i | \(-0.842717\pi\) | ||||
−0.880387 | + | 0.474257i | \(0.842717\pi\) | |||||||
\(692\) | − | 14.5978i | − | 0.554927i | ||||||
\(693\) | 1.53637 | + | 0.0616673i | 0.0583620 | + | 0.00234255i | ||||
\(694\) | −12.7852 | −0.485319 | ||||||||
\(695\) | 19.1216i | 0.725323i | ||||||||
\(696\) | 4.38448 | + | 4.56399i | 0.166193 | + | 0.172998i | ||||
\(697\) | − | 13.0190i | − | 0.493128i | ||||||
\(698\) | 22.5347 | 0.852952 | ||||||||
\(699\) | −7.14696 | + | 6.86585i | −0.270323 | + | 0.259690i | ||||
\(700\) | − | 0.109049i | − | 0.00412166i | ||||||
\(701\) | 12.1107 | 0.457415 | 0.228707 | − | 0.973495i | \(-0.426550\pi\) | ||||
0.228707 | + | 0.973495i | \(0.426550\pi\) | |||||||
\(702\) | 26.9293 | − | 23.8688i | 1.01638 | − | 0.900871i | ||||
\(703\) | −30.6433 | −1.15573 | ||||||||
\(704\) | −15.8102 | −0.595868 | ||||||||
\(705\) | 8.99593 | + | 9.36426i | 0.338806 | + | 0.352678i | ||||
\(706\) | 4.64013 | 0.174634 | ||||||||
\(707\) | − | 2.50973i | − | 0.0943880i | ||||||
\(708\) | 6.30071 | + | 6.55869i | 0.236795 | + | 0.246491i | ||||
\(709\) | 24.5566 | 0.922242 | 0.461121 | − | 0.887337i | \(-0.347447\pi\) | ||||
0.461121 | + | 0.887337i | \(0.347447\pi\) | |||||||
\(710\) | − | 32.0097i | − | 1.20130i | ||||||
\(711\) | 6.96501 | + | 0.279563i | 0.261208 | + | 0.0104844i | ||||
\(712\) | 15.2833i | 0.572766i | ||||||||
\(713\) | 54.7745 | 2.05132 | ||||||||
\(714\) | 0.893304 | − | 0.858168i | 0.0334311 | − | 0.0321161i | ||||
\(715\) | − | 21.9208i | − | 0.819791i | ||||||
\(716\) | −9.08389 | −0.339481 | ||||||||
\(717\) | 12.7478 | − | 12.2464i | 0.476075 | − | 0.457349i | ||||
\(718\) | 6.91500i | 0.258066i | ||||||||
\(719\) | − | 0.813125i | − | 0.0303244i | −0.999885 | − | 0.0151622i | \(-0.995174\pi\) | ||
0.999885 | − | 0.0151622i | \(-0.00482647\pi\) | |||||||
\(720\) | −0.621526 | + | 15.4846i | −0.0231629 | + | 0.577079i | ||||
\(721\) | − | 4.13534i | − | 0.154008i | ||||||
\(722\) | −9.00158 | −0.335004 | ||||||||
\(723\) | 30.5256 | − | 29.3249i | 1.13526 | − | 1.09060i | ||||
\(724\) | 3.99617 | 0.148517 | ||||||||
\(725\) | 0.775132i | 0.0287877i | ||||||||
\(726\) | −11.4967 | + | 11.0445i | −0.426681 | + | 0.409899i | ||||
\(727\) | − | 3.76568i | − | 0.139661i | −0.997559 | − | 0.0698306i | \(-0.977754\pi\) | ||
0.997559 | − | 0.0698306i | \(-0.0222459\pi\) | |||||||
\(728\) | −5.09330 | −0.188770 | ||||||||
\(729\) | −3.24161 | + | 26.8047i | −0.120060 | + | 0.992767i | ||||
\(730\) | 7.39936 | 0.273863 | ||||||||
\(731\) | 3.34452 | 0.123702 | ||||||||
\(732\) | −2.60790 | − | 2.71468i | −0.0963909 | − | 0.100337i | ||||
\(733\) | − | 13.3040i | − | 0.491396i | −0.969346 | − | 0.245698i | \(-0.920983\pi\) | ||
0.969346 | − | 0.245698i | \(-0.0790172\pi\) | |||||||
\(734\) | 21.5577i | 0.795710i | ||||||||
\(735\) | 18.0206 | − | 17.3118i | 0.664700 | − | 0.638556i | ||||
\(736\) | − | 18.7750i | − | 0.692057i | ||||||
\(737\) | 3.55699 | + | 14.3293i | 0.131023 | + | 0.527825i | ||||
\(738\) | −0.878621 | + | 21.8899i | −0.0323425 | + | 0.805778i | ||||
\(739\) | − | 31.3888i | − | 1.15466i | −0.816512 | − | 0.577328i | \(-0.804095\pi\) | ||
0.816512 | − | 0.577328i | \(-0.195905\pi\) | |||||||
\(740\) | 11.1203 | 0.408792 | ||||||||
\(741\) | 23.6388 | + | 24.6067i | 0.868394 | + | 0.903949i | ||||
\(742\) | − | 1.99455i | − | 0.0732221i | ||||||
\(743\) | 44.9992i | 1.65086i | 0.564504 | + | 0.825430i | \(0.309068\pi\) | ||||
−0.564504 | + | 0.825430i | \(0.690932\pi\) | |||||||
\(744\) | −34.5249 | − | 35.9384i | −1.26574 | − | 1.31757i | ||||
\(745\) | 26.8690i | 0.984404i | ||||||||
\(746\) | 39.1120i | 1.43199i | ||||||||
\(747\) | −31.1948 | − | 1.25210i | −1.14136 | − | 0.0458120i | ||||
\(748\) | 2.24760i | 0.0821804i | ||||||||
\(749\) | −0.803626 | −0.0293639 | ||||||||
\(750\) | −17.4912 | + | 16.8032i | −0.638688 | + | 0.613567i | ||||
\(751\) | 13.1434 | 0.479611 | 0.239805 | − | 0.970821i | \(-0.422916\pi\) | ||||
0.239805 | + | 0.970821i | \(0.422916\pi\) | |||||||
\(752\) | − | 8.90773i | − | 0.324831i | ||||||
\(753\) | −24.5671 | + | 23.6008i | −0.895275 | + | 0.860061i | ||||
\(754\) | 8.22836 | 0.299659 | ||||||||
\(755\) | 27.5380 | 1.00221 | ||||||||
\(756\) | 0.649993 | − | 0.576122i | 0.0236400 | − | 0.0209534i | ||||
\(757\) | 10.0377i | 0.364825i | 0.983222 | + | 0.182412i | \(0.0583906\pi\) | ||||
−0.983222 | + | 0.182412i | \(0.941609\pi\) | |||||||
\(758\) | − | 32.2083i | − | 1.16986i | ||||||
\(759\) | 12.6712 | + | 13.1900i | 0.459935 | + | 0.478766i | ||||
\(760\) | −21.6730 | −0.786164 | ||||||||
\(761\) | − | 27.5790i | − | 0.999739i | −0.866101 | − | 0.499869i | \(-0.833381\pi\) | ||
0.866101 | − | 0.499869i | \(-0.166619\pi\) | |||||||
\(762\) | 4.29352 | − | 4.12464i | 0.155538 | − | 0.149420i | ||||
\(763\) | −4.24296 | −0.153605 | ||||||||
\(764\) | 13.1354 | 0.475222 | ||||||||
\(765\) | 13.2397 | + | 0.531419i | 0.478684 | + | 0.0192135i | ||||
\(766\) | −19.3571 | −0.699399 | ||||||||
\(767\) | 52.0267 | 1.87857 | ||||||||
\(768\) | −15.9593 | + | 15.3316i | −0.575881 | + | 0.553230i | ||||
\(769\) | − | 46.2944i | − | 1.66942i | −0.550690 | − | 0.834710i | \(-0.685635\pi\) | ||
0.550690 | − | 0.834710i | \(-0.314365\pi\) | |||||||
\(770\) | 1.26978i | 0.0457598i | ||||||||
\(771\) | 19.2764 | + | 20.0657i | 0.694223 | + | 0.722647i | ||||
\(772\) | 13.9132 | 0.500748 | ||||||||
\(773\) | 5.77454i | 0.207696i | 0.994593 | + | 0.103848i | \(0.0331155\pi\) | ||||
−0.994593 | + | 0.103848i | \(0.966885\pi\) | |||||||
\(774\) | −5.62344 | − | 0.225715i | −0.202130 | − | 0.00811314i | ||||
\(775\) | − | 6.10366i | − | 0.219250i | ||||||
\(776\) | − | 27.0524i | − | 0.971124i | ||||||
\(777\) | 3.09128 | + | 3.21785i | 0.110899 | + | 0.115440i | ||||
\(778\) | 13.8396i | 0.496175i | ||||||||
\(779\) | −20.7732 | −0.744276 | ||||||||
\(780\) | −8.57845 | − | 8.92968i | −0.307158 | − | 0.319734i | ||||
\(781\) | 23.3050i | 0.833917i | ||||||||
\(782\) | 14.7350 | 0.526921 | ||||||||
\(783\) | −4.62022 | + | 4.09514i | −0.165113 | + | 0.146348i | ||||
\(784\) | −17.1421 | −0.612217 | ||||||||
\(785\) | −24.6038 | −0.878148 | ||||||||
\(786\) | 16.7584 | + | 17.4446i | 0.597753 | + | 0.622227i | ||||
\(787\) | 36.7066i | 1.30845i | 0.756301 | + | 0.654224i | \(0.227005\pi\) | ||||
−0.756301 | + | 0.654224i | \(0.772995\pi\) | |||||||
\(788\) | −11.5230 | −0.410490 | ||||||||
\(789\) | −30.1092 | − | 31.3419i | −1.07191 | − | 1.11580i | ||||
\(790\) | 5.75644i | 0.204805i | ||||||||
\(791\) | − | 1.73849i | − | 0.0618135i | ||||||
\(792\) | 0.667398 | − | 16.6275i | 0.0237150 | − | 0.590833i | ||||
\(793\) | −21.5341 | −0.764700 | ||||||||
\(794\) | −26.8175 | −0.951716 | ||||||||
\(795\) | 15.3858 | − | 14.7807i | 0.545680 | − | 0.524216i | ||||
\(796\) | −7.57474 | −0.268479 | ||||||||
\(797\) | − | 28.5045i | − | 1.00968i | −0.863213 | − | 0.504840i | \(-0.831551\pi\) | ||
0.863213 | − | 0.504840i | \(-0.168449\pi\) | |||||||
\(798\) | −1.36930 | − | 1.42537i | −0.0484727 | − | 0.0504574i | ||||
\(799\) | −7.61632 | −0.269446 | ||||||||
\(800\) | −2.09215 | −0.0739686 | ||||||||
\(801\) | −14.8972 | − | 0.597945i | −0.526366 | − | 0.0211274i | ||||
\(802\) | 26.6452 | 0.940876 | ||||||||
\(803\) | −5.38718 | −0.190109 | ||||||||
\(804\) | 7.05657 | + | 4.44520i | 0.248866 | + | 0.156770i | ||||
\(805\) | −3.46872 | −0.122256 | ||||||||
\(806\) | −64.7929 | −2.28223 | ||||||||
\(807\) | −39.1936 | − | 40.7983i | −1.37968 | − | 1.43617i | ||||
\(808\) | −27.1617 | −0.955545 | ||||||||
\(809\) | 10.3307 | 0.363209 | 0.181605 | − | 0.983372i | \(-0.441871\pi\) | ||||
0.181605 | + | 0.983372i | \(0.441871\pi\) | |||||||
\(810\) | −22.2253 | − | 1.78704i | −0.780916 | − | 0.0627903i | ||||
\(811\) | 5.53520i | 0.194367i | 0.995266 | + | 0.0971836i | \(0.0309834\pi\) | ||||
−0.995266 | + | 0.0971836i | \(0.969017\pi\) | |||||||
\(812\) | 0.198608 | 0.00696977 | ||||||||
\(813\) | −35.8395 | − | 37.3069i | −1.25695 | − | 1.30841i | ||||
\(814\) | 19.4301 | 0.681024 | ||||||||
\(815\) | −8.50575 | −0.297943 | ||||||||
\(816\) | −6.29714 | − | 6.55497i | −0.220444 | − | 0.229470i | ||||
\(817\) | − | 5.33656i | − | 0.186702i | ||||||
\(818\) | − | 6.37814i | − | 0.223006i | ||||||
\(819\) | 0.199271 | − | 4.96462i | 0.00696309 | − | 0.173478i | ||||
\(820\) | 7.53852 | 0.263256 | ||||||||
\(821\) | 49.4968i | 1.72745i | 0.503964 | + | 0.863725i | \(0.331875\pi\) | ||||
−0.503964 | + | 0.863725i | \(0.668125\pi\) | |||||||
\(822\) | −8.49457 | + | 8.16045i | −0.296282 | + | 0.284628i | ||||
\(823\) | −20.7084 | −0.721851 | −0.360925 | − | 0.932595i | \(-0.617539\pi\) | ||||
−0.360925 | + | 0.932595i | \(0.617539\pi\) | |||||||
\(824\) | −44.7550 | −1.55912 | ||||||||
\(825\) | 1.46979 | − | 1.41198i | 0.0511715 | − | 0.0491588i | ||||
\(826\) | −3.01369 | −0.104860 | ||||||||
\(827\) | 21.2556i | 0.739131i | 0.929205 | + | 0.369565i | \(0.120493\pi\) | ||||
−0.929205 | + | 0.369565i | \(0.879507\pi\) | |||||||
\(828\) | 10.3235 | + | 0.414366i | 0.358766 | + | 0.0144002i | ||||
\(829\) | −20.3605 | −0.707150 | −0.353575 | − | 0.935406i | \(-0.615034\pi\) | ||||
−0.353575 | + | 0.935406i | \(0.615034\pi\) | |||||||
\(830\) | − | 25.7819i | − | 0.894901i | ||||||
\(831\) | 5.36193 | − | 5.15103i | 0.186003 | − | 0.178687i | ||||
\(832\) | 51.0888i | 1.77118i | ||||||||
\(833\) | 14.6569i | 0.507831i | ||||||||
\(834\) | 13.0748 | + | 13.6101i | 0.452742 | + | 0.471279i | ||||
\(835\) | 11.1377i | 0.385436i | ||||||||
\(836\) | 3.58629 | 0.124035 | ||||||||
\(837\) | 36.3812 | − | 32.2465i | 1.25752 | − | 1.11460i | ||||
\(838\) | 30.1478i | 1.04144i | ||||||||
\(839\) | 14.1993i | 0.490215i | 0.969496 | + | 0.245107i | \(0.0788232\pi\) | ||||
−0.969496 | + | 0.245107i | \(0.921177\pi\) | |||||||
\(840\) | 2.18637 | + | 2.27588i | 0.0754368 | + | 0.0785255i | ||||
\(841\) | 27.5883 | 0.951320 | ||||||||
\(842\) | 27.9144 | 0.961995 | ||||||||
\(843\) | −34.3570 | + | 33.0057i | −1.18332 | + | 1.13678i | ||||
\(844\) | 5.53579 | 0.190550 | ||||||||
\(845\) | −43.7283 | −1.50430 | ||||||||
\(846\) | 12.8060 | + | 0.514009i | 0.440279 | + | 0.0176720i | ||||
\(847\) | 2.20122i | 0.0756350i | ||||||||
\(848\) | −14.6357 | −0.502594 | ||||||||
\(849\) | 2.09538 | − | 2.01296i | 0.0719132 | − | 0.0690846i | ||||
\(850\) | − | 1.64195i | − | 0.0563185i | ||||||
\(851\) | 53.0780i | 1.81949i | ||||||||
\(852\) | 9.12014 | + | 9.49355i | 0.312451 | + | 0.325244i | ||||
\(853\) | −42.0998 | −1.44147 | −0.720735 | − | 0.693210i | \(-0.756196\pi\) | ||||
−0.720735 | + | 0.693210i | \(0.756196\pi\) | |||||||
\(854\) | 1.24739 | 0.0426847 | ||||||||
\(855\) | 0.847938 | − | 21.1255i | 0.0289989 | − | 0.722476i | ||||
\(856\) | 8.69730i | 0.297268i | ||||||||
\(857\) | −4.49937 | −0.153695 | −0.0768477 | − | 0.997043i | \(-0.524486\pi\) | ||||
−0.0768477 | + | 0.997043i | \(0.524486\pi\) | |||||||
\(858\) | −14.9888 | − | 15.6024i | −0.511708 | − | 0.532659i | ||||
\(859\) | −54.3034 | −1.85281 | −0.926404 | − | 0.376530i | \(-0.877117\pi\) | ||||
−0.926404 | + | 0.376530i | \(0.877117\pi\) | |||||||
\(860\) | 1.93662i | 0.0660382i | ||||||||
\(861\) | 2.09559 | + | 2.18139i | 0.0714175 | + | 0.0743416i | ||||
\(862\) | 16.2939i | 0.554972i | ||||||||
\(863\) | 19.2335i | 0.654716i | 0.944900 | + | 0.327358i | \(0.106158\pi\) | ||||
−0.944900 | + | 0.327358i | \(0.893842\pi\) | |||||||
\(864\) | −11.0531 | − | 12.4704i | −0.376035 | − | 0.424250i | ||||
\(865\) | 51.7426i | 1.75930i | ||||||||
\(866\) | 6.79572i | 0.230928i | ||||||||
\(867\) | 15.6294 | − | 15.0147i | 0.530803 | − | 0.509925i | ||||
\(868\) | −1.56391 | −0.0530824 | ||||||||
\(869\) | − | 4.19103i | − | 0.142171i | ||||||
\(870\) | −3.53213 | − | 3.67675i | −0.119750 | − | 0.124653i | ||||
\(871\) | 46.3034 | − | 11.4940i | 1.56893 | − | 0.389459i | ||||
\(872\) | 45.9197i | 1.55504i | ||||||||
\(873\) | 26.3689 | + | 1.05840i | 0.892453 | + | 0.0358214i | ||||
\(874\) | − | 23.5113i | − | 0.795280i | ||||||
\(875\) | 3.34898i | 0.113216i | ||||||||
\(876\) | −2.19453 | + | 2.10821i | −0.0741462 | + | 0.0712298i | ||||
\(877\) | 24.1312 | 0.814854 | 0.407427 | − | 0.913238i | \(-0.366426\pi\) | ||||
0.407427 | + | 0.913238i | \(0.366426\pi\) | |||||||
\(878\) | 24.2703 | 0.819084 | ||||||||
\(879\) | −22.1646 | − | 23.0721i | −0.747595 | − | 0.778204i | ||||
\(880\) | 9.31752 | 0.314093 | ||||||||
\(881\) | 5.93369i | 0.199911i | 0.994992 | + | 0.0999555i | \(0.0318700\pi\) | ||||
−0.994992 | + | 0.0999555i | \(0.968130\pi\) | |||||||
\(882\) | 0.989161 | − | 24.6439i | 0.0333068 | − | 0.829803i | ||||
\(883\) | − | 10.8852i | − | 0.366315i | −0.983084 | − | 0.183158i | \(-0.941368\pi\) | ||
0.983084 | − | 0.183158i | \(-0.0586319\pi\) | |||||||
\(884\) | 7.26287 | 0.244277 | ||||||||
\(885\) | −22.3331 | − | 23.2475i | −0.750720 | − | 0.781457i | ||||
\(886\) | −38.2413 | −1.28474 | ||||||||
\(887\) | − | 26.3504i | − | 0.884761i | −0.896827 | − | 0.442381i | \(-0.854134\pi\) | ||
0.896827 | − | 0.442381i | \(-0.145866\pi\) | |||||||
\(888\) | 34.8254 | − | 33.4556i | 1.16866 | − | 1.12270i | ||||
\(889\) | − | 0.822064i | − | 0.0275711i | ||||||
\(890\) | − | 12.3122i | − | 0.412706i | ||||||
\(891\) | 16.1813 | + | 1.30107i | 0.542094 | + | 0.0435876i | ||||
\(892\) | 2.52855 | 0.0846620 | ||||||||
\(893\) | 12.1527i | 0.406674i | ||||||||
\(894\) | 18.3722 | + | 19.1244i | 0.614458 | + | 0.639616i | ||||
\(895\) | 32.1982 | 1.07627 | ||||||||
\(896\) | − | 1.13683i | − | 0.0379788i | ||||||
\(897\) | 42.6219 | − | 40.9455i | 1.42310 | − | 1.36713i | ||||
\(898\) | − | 3.09436i | − | 0.103260i | ||||||
\(899\) | 11.1164 | 0.370753 | ||||||||
\(900\) | 0.0461738 | − | 1.15037i | 0.00153913 | − | 0.0383457i | ||||
\(901\) | 12.5139i | 0.416899i | ||||||||
\(902\) | 13.1717 | 0.438571 | ||||||||
\(903\) | −0.560391 | + | 0.538350i | −0.0186487 | + | 0.0179151i | ||||
\(904\) | −18.8149 | −0.625775 | ||||||||
\(905\) | −14.1646 | −0.470847 | ||||||||
\(906\) | 19.6006 | − | 18.8297i | 0.651187 | − | 0.625574i | ||||
\(907\) | 37.8798 | 1.25778 | 0.628889 | − | 0.777495i | \(-0.283510\pi\) | ||||
0.628889 | + | 0.777495i | \(0.283510\pi\) | |||||||
\(908\) | − | 11.0381i | − | 0.366311i | ||||||
\(909\) | 1.06268 | − | 26.4754i | 0.0352467 | − | 0.878135i | ||||
\(910\) | 4.10316 | 0.136018 | ||||||||
\(911\) | − | 8.16988i | − | 0.270680i | −0.990799 | − | 0.135340i | \(-0.956787\pi\) | ||
0.990799 | − | 0.135340i | \(-0.0432127\pi\) | |||||||
\(912\) | −10.4592 | + | 10.0478i | −0.346338 | + | 0.332715i | ||||
\(913\) | 18.7707i | 0.621220i | ||||||||
\(914\) | −2.41564 | −0.0799023 | ||||||||
\(915\) | 9.24381 | + | 9.62228i | 0.305591 | + | 0.318103i | ||||
\(916\) | − | 10.8959i | − | 0.360010i | ||||||
\(917\) | 3.34005 | 0.110298 | ||||||||
\(918\) | 9.78696 | − | 8.67469i | 0.323018 | − | 0.286307i | ||||
\(919\) | − | 16.7633i | − | 0.552969i | −0.961018 | − | 0.276485i | \(-0.910831\pi\) | ||
0.961018 | − | 0.276485i | \(-0.0891695\pi\) | |||||||
\(920\) | 37.5405i | 1.23767i | ||||||||
\(921\) | 9.06935 | − | 8.71262i | 0.298845 | − | 0.287091i | ||||
\(922\) | − | 8.68389i | − | 0.285989i | ||||||
\(923\) | 75.3074 | 2.47877 | ||||||||
\(924\) | −0.361784 | − | 0.376596i | −0.0119018 | − | 0.0123891i | ||||
\(925\) | 5.91461 | 0.194471 | ||||||||
\(926\) | − | 22.2452i | − | 0.731022i | ||||||
\(927\) | 1.75100 | − | 43.6243i | 0.0575104 | − | 1.43281i | ||||
\(928\) | − | 3.81037i | − | 0.125082i | ||||||
\(929\) | −28.7510 | −0.943289 | −0.471644 | − | 0.881789i | \(-0.656339\pi\) | ||||
−0.471644 | + | 0.881789i | \(0.656339\pi\) | |||||||
\(930\) | 27.8132 | + | 28.9520i | 0.912030 | + | 0.949372i | ||||
\(931\) | 23.3867 | 0.766467 | ||||||||
\(932\) | 3.36591 | 0.110254 | ||||||||
\(933\) | 26.3228 | − | 25.2874i | 0.861768 | − | 0.827873i | ||||
\(934\) | 14.7385i | 0.482258i | ||||||||
\(935\) | − | 7.96670i | − | 0.260539i | ||||||
\(936\) | −53.7300 | − | 2.15662i | −1.75622 | − | 0.0704914i | ||||
\(937\) | 32.1691i | 1.05092i | 0.850818 | + | 0.525460i | \(0.176107\pi\) | ||||
−0.850818 | + | 0.525460i | \(0.823893\pi\) | |||||||
\(938\) | −2.68217 | + | 0.665801i | −0.0875759 | + | 0.0217392i | ||||
\(939\) | 18.1114 | + | 18.8530i | 0.591044 | + | 0.615244i | ||||
\(940\) | − | 4.41017i | − | 0.143844i | ||||||
\(941\) | 14.8956 | 0.485581 | 0.242791 | − | 0.970079i | \(-0.421937\pi\) | ||||
0.242791 | + | 0.970079i | \(0.421937\pi\) | |||||||
\(942\) | −17.5121 | + | 16.8233i | −0.570576 | + | 0.548134i | ||||
\(943\) | 35.9818i | 1.17173i | ||||||||
\(944\) | 22.1141i | 0.719754i | ||||||||
\(945\) | −2.30392 | + | 2.04209i | −0.0749466 | + | 0.0664291i | ||||
\(946\) | 3.38377i | 0.110016i | ||||||||
\(947\) | 49.1528i | 1.59725i | 0.601828 | + | 0.798626i | \(0.294439\pi\) | ||||
−0.601828 | + | 0.798626i | \(0.705561\pi\) | |||||||
\(948\) | −1.64011 | − | 1.70726i | −0.0532684 | − | 0.0554494i | ||||
\(949\) | 17.4081i | 0.565089i | ||||||||
\(950\) | −2.61992 | −0.0850013 | ||||||||
\(951\) | 10.1913 | + | 10.6086i | 0.330476 | + | 0.344007i | ||||
\(952\) | −1.85107 | −0.0599934 | ||||||||
\(953\) | 26.4663i | 0.857329i | 0.903464 | + | 0.428664i | \(0.141016\pi\) | ||||
−0.903464 | + | 0.428664i | \(0.858984\pi\) | |||||||
\(954\) | 0.844537 | − | 21.0407i | 0.0273429 | − | 0.681219i | ||||
\(955\) | −46.5589 | −1.50661 | ||||||||
\(956\) | −6.00366 | −0.194172 | ||||||||
\(957\) | 2.57160 | + | 2.67689i | 0.0831280 | + | 0.0865315i | ||||
\(958\) | − | 31.6284i | − | 1.02187i | ||||||
\(959\) | 1.62642i | 0.0525200i | ||||||||
\(960\) | 22.8284 | − | 21.9305i | 0.736784 | − | 0.707805i | ||||
\(961\) | −56.5345 | −1.82369 | ||||||||
\(962\) | − | 62.7861i | − | 2.02431i | ||||||
\(963\) | −8.47756 | − | 0.340274i | −0.273186 | − | 0.0109652i | ||||
\(964\) | −14.3762 | −0.463028 | ||||||||
\(965\) | −49.3160 | −1.58754 | ||||||||
\(966\) | −2.46892 | + | 2.37181i | −0.0794361 | + | 0.0763116i | ||||
\(967\) | −10.0427 | −0.322951 | −0.161476 | − | 0.986877i | \(-0.551625\pi\) | ||||
−0.161476 | + | 0.986877i | \(0.551625\pi\) | |||||||
\(968\) | 23.8229 | 0.765697 | ||||||||
\(969\) | 8.59109 | + | 8.94284i | 0.275986 | + | 0.287285i | ||||
\(970\) | 21.7934i | 0.699743i | ||||||||
\(971\) | − | 46.2031i | − | 1.48273i | −0.671103 | − | 0.741365i | \(-0.734179\pi\) | ||
0.671103 | − | 0.741365i | \(-0.265821\pi\) | |||||||
\(972\) | 7.10080 | − | 5.80237i | 0.227758 | − | 0.186111i | ||||
\(973\) | 2.60587 | 0.0835404 | ||||||||
\(974\) | 2.36839i | 0.0758881i | ||||||||
\(975\) | −4.56265 | − | 4.74946i | −0.146122 | − | 0.152105i | ||||
\(976\) | − | 9.15318i | − | 0.292986i | ||||||
\(977\) | − | 53.6359i | − | 1.71597i | −0.513679 | − | 0.857983i | \(-0.671718\pi\) | ||
0.513679 | − | 0.857983i | \(-0.328282\pi\) | |||||||
\(978\) | −6.05409 | + | 5.81597i | −0.193589 | + | 0.185974i | ||||
\(979\) | 8.96402i | 0.286491i | ||||||||
\(980\) | −8.48694 | −0.271105 | ||||||||
\(981\) | −44.7595 | − | 1.79657i | −1.42906 | − | 0.0573599i | ||||
\(982\) | 5.97345i | 0.190620i | ||||||||
\(983\) | −10.0426 | −0.320308 | −0.160154 | − | 0.987092i | \(-0.551199\pi\) | ||||
−0.160154 | + | 0.987092i | \(0.551199\pi\) | |||||||
\(984\) | 23.6082 | − | 22.6797i | 0.752603 | − | 0.723001i | ||||
\(985\) | 40.8438 | 1.30139 | ||||||||
\(986\) | 2.99044 | 0.0952351 | ||||||||
\(987\) | 1.27615 | − | 1.22596i | 0.0406204 | − | 0.0390226i | ||||
\(988\) | − | 11.5887i | − | 0.368686i | ||||||
\(989\) | −9.24360 | −0.293929 | ||||||||
\(990\) | −0.537655 | + | 13.3951i | −0.0170878 | + | 0.425724i | ||||
\(991\) | 21.7474i | 0.690830i | 0.938450 | + | 0.345415i | \(0.112262\pi\) | ||||
−0.938450 | + | 0.345415i | \(0.887738\pi\) | |||||||
\(992\) | 30.0042i | 0.952633i | ||||||||
\(993\) | 17.2557 | + | 17.9622i | 0.547593 | + | 0.570013i | ||||
\(994\) | −4.36225 | −0.138362 | ||||||||
\(995\) | 26.8489 | 0.851169 | ||||||||
\(996\) | 7.34571 | + | 7.64647i | 0.232758 | + | 0.242288i | ||||
\(997\) | 30.6083 | 0.969374 | 0.484687 | − | 0.874688i | \(-0.338933\pi\) | ||||
0.484687 | + | 0.874688i | \(0.338933\pi\) | |||||||
\(998\) | − | 19.1957i | − | 0.607628i | ||||||
\(999\) | 31.2478 | + | 35.2544i | 0.988637 | + | 1.11540i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 201.2.d.a.200.15 | yes | 20 | |
3.2 | odd | 2 | inner | 201.2.d.a.200.5 | ✓ | 20 | |
67.66 | odd | 2 | inner | 201.2.d.a.200.6 | yes | 20 | |
201.200 | even | 2 | inner | 201.2.d.a.200.16 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.d.a.200.5 | ✓ | 20 | 3.2 | odd | 2 | inner | |
201.2.d.a.200.6 | yes | 20 | 67.66 | odd | 2 | inner | |
201.2.d.a.200.15 | yes | 20 | 1.1 | even | 1 | trivial | |
201.2.d.a.200.16 | yes | 20 | 201.200 | even | 2 | inner |