Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(37,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 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("288.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 37.8 | ||
Character | \(\chi\) | \(=\) | 288.37 |
Dual form | 288.2.v.d.109.8 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29526 | − | 0.567706i | 0.915890 | − | 0.401429i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.35542 | − | 1.47066i | 0.677709 | − | 0.735330i | ||||
\(5\) | −0.825824 | − | 0.342068i | −0.369320 | − | 0.152977i | 0.190302 | − | 0.981726i | \(-0.439053\pi\) |
−0.559621 | + | 0.828748i | \(0.689053\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.17750 | + | 1.17750i | 0.445053 | + | 0.445053i | 0.893706 | − | 0.448653i | \(-0.148096\pi\) |
−0.448653 | + | 0.893706i | \(0.648096\pi\) | |||||||
\(8\) | 0.920723 | − | 2.67437i | 0.325525 | − | 0.945534i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.26385 | + | 0.0257578i | −0.399666 | + | 0.00814532i | ||||
\(11\) | 1.46490 | − | 3.53657i | 0.441683 | − | 1.06632i | −0.533675 | − | 0.845690i | \(-0.679189\pi\) |
0.975358 | − | 0.220627i | \(-0.0708105\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.01061 | − | 1.24703i | 0.834992 | − | 0.345865i | 0.0761151 | − | 0.997099i | \(-0.475748\pi\) |
0.758877 | + | 0.651234i | \(0.225748\pi\) | |||||||
\(14\) | 2.19365 | + | 0.856699i | 0.586276 | + | 0.228962i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.325679 | − | 3.98672i | −0.0814198 | − | 0.996680i | ||||
\(17\) | 4.58215i | 1.11134i | 0.831404 | + | 0.555668i | \(0.187537\pi\) | ||||
−0.831404 | + | 0.555668i | \(0.812463\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.29978 | + | 1.36681i | −0.757021 | + | 0.313568i | −0.727602 | − | 0.685999i | \(-0.759365\pi\) |
−0.0294181 | + | 0.999567i | \(0.509365\pi\) | |||||||
\(20\) | −1.62240 | + | 0.750861i | −0.362780 | + | 0.167898i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.110307 | − | 5.41243i | −0.0235175 | − | 1.15393i | ||||
\(23\) | −5.41196 | + | 5.41196i | −1.12847 | + | 1.12847i | −0.138046 | + | 0.990426i | \(0.544082\pi\) |
−0.990426 | + | 0.138046i | \(0.955918\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.97056 | − | 2.97056i | −0.594112 | − | 0.594112i | ||||
\(26\) | 3.19158 | − | 3.32438i | 0.625921 | − | 0.651964i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.32770 | − | 0.135696i | 0.628877 | − | 0.0256441i | ||||
\(29\) | 2.46490 | + | 5.95078i | 0.457720 | + | 1.10503i | 0.969318 | + | 0.245808i | \(0.0790534\pi\) |
−0.511599 | + | 0.859224i | \(0.670947\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.25495 | −0.943816 | −0.471908 | − | 0.881648i | \(-0.656435\pi\) | ||||
−0.471908 | + | 0.881648i | \(0.656435\pi\) | |||||||
\(32\) | −2.68513 | − | 4.97897i | −0.474668 | − | 0.880165i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.60132 | + | 5.93510i | 0.446122 | + | 1.01786i | ||||
\(35\) | −0.569623 | − | 1.37519i | −0.0962838 | − | 0.232450i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.33917 | + | 3.03998i | 1.20655 | + | 0.499770i | 0.893111 | − | 0.449837i | \(-0.148518\pi\) |
0.313442 | + | 0.949607i | \(0.398518\pi\) | |||||||
\(38\) | −3.49813 | + | 3.64369i | −0.567472 | + | 0.591084i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.67517 | + | 1.89361i | −0.264868 | + | 0.299406i | ||||
\(41\) | 1.35921 | − | 1.35921i | 0.212273 | − | 0.212273i | −0.592959 | − | 0.805232i | \(-0.702041\pi\) |
0.805232 | + | 0.592959i | \(0.202041\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.95781 | + | 7.14079i | −0.451062 | + | 1.08896i | 0.520856 | + | 0.853644i | \(0.325613\pi\) |
−0.971919 | + | 0.235317i | \(0.924387\pi\) | |||||||
\(44\) | −3.21555 | − | 6.94790i | −0.484762 | − | 1.04744i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.93752 | + | 10.0823i | −0.580555 | + | 1.48656i | ||||
\(47\) | 8.16360i | 1.19078i | 0.803436 | + | 0.595391i | \(0.203003\pi\) | ||||
−0.803436 | + | 0.595391i | \(0.796997\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 4.22699i | − | 0.603856i | ||||||
\(50\) | −5.53406 | − | 2.16125i | −0.782635 | − | 0.305647i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.24667 | − | 6.11783i | 0.311557 | − | 0.848391i | ||||
\(53\) | 3.13863 | − | 7.57731i | 0.431123 | − | 1.04082i | −0.547802 | − | 0.836608i | \(-0.684535\pi\) |
0.978926 | − | 0.204216i | \(-0.0654646\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.41949 | + | 2.41949i | −0.326244 | + | 0.326244i | ||||
\(56\) | 4.23322 | − | 2.06492i | 0.565688 | − | 0.275937i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.57099 | + | 6.30850i | 0.862813 | + | 0.828347i | ||||
\(59\) | −0.221996 | − | 0.0919539i | −0.0289014 | − | 0.0119714i | 0.368186 | − | 0.929752i | \(-0.379979\pi\) |
−0.397087 | + | 0.917781i | \(0.629979\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.66861 | + | 6.44260i | 0.341681 | + | 0.824891i | 0.997546 | + | 0.0700128i | \(0.0223040\pi\) |
−0.655865 | + | 0.754878i | \(0.727696\pi\) | |||||||
\(62\) | −6.80655 | + | 2.98327i | −0.864432 | + | 0.378875i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.30454 | − | 4.92471i | −0.788067 | − | 0.615589i | ||||
\(65\) | −2.91280 | −0.361289 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.52539 | − | 13.3395i | −0.675033 | − | 1.62968i | −0.772940 | − | 0.634479i | \(-0.781215\pi\) |
0.0979063 | − | 0.995196i | \(-0.468785\pi\) | |||||||
\(68\) | 6.73879 | + | 6.21074i | 0.817198 | + | 0.753163i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.51852 | − | 1.45786i | −0.181497 | − | 0.174247i | ||||
\(71\) | −1.51271 | − | 1.51271i | −0.179526 | − | 0.179526i | 0.611623 | − | 0.791149i | \(-0.290517\pi\) |
−0.791149 | + | 0.611623i | \(0.790517\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.62682 | + | 9.62682i | −1.12673 | + | 1.12673i | −0.136029 | + | 0.990705i | \(0.543434\pi\) |
−0.990705 | + | 0.136029i | \(0.956566\pi\) | |||||||
\(74\) | 11.2320 | − | 0.228911i | 1.30569 | − | 0.0266104i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.46246 | + | 6.70545i | −0.282464 | + | 0.769168i | ||||
\(77\) | 5.88923 | − | 2.43940i | 0.671140 | − | 0.277995i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 5.34497i | − | 0.601356i | −0.953726 | − | 0.300678i | \(-0.902787\pi\) | ||
0.953726 | − | 0.300678i | \(-0.0972129\pi\) | |||||||
\(80\) | −1.09477 | + | 3.40373i | −0.122399 | + | 0.380549i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.988904 | − | 2.53217i | 0.109206 | − | 0.279631i | ||||
\(83\) | −5.64233 | + | 2.33713i | −0.619327 | + | 0.256533i | −0.670210 | − | 0.742171i | \(-0.733796\pi\) |
0.0508839 | + | 0.998705i | \(0.483796\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.56741 | − | 3.78405i | 0.170009 | − | 0.410438i | ||||
\(86\) | 0.222724 | + | 10.9284i | 0.0240169 | + | 1.17844i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.10935 | − | 7.17388i | −0.864460 | − | 0.764739i | ||||
\(89\) | −5.09017 | − | 5.09017i | −0.539557 | − | 0.539557i | 0.383842 | − | 0.923399i | \(-0.374601\pi\) |
−0.923399 | + | 0.383842i | \(0.874601\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.01337 | + | 2.07660i | 0.525544 | + | 0.217687i | ||||
\(92\) | 0.623678 | + | 15.2946i | 0.0650229 | + | 1.59458i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.63453 | + | 10.5740i | 0.478015 | + | 1.09063i | ||||
\(95\) | 3.19258 | 0.327551 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 19.0146 | 1.93064 | 0.965319 | − | 0.261072i | \(-0.0840761\pi\) | ||||
0.965319 | + | 0.261072i | \(0.0840761\pi\) | |||||||
\(98\) | −2.39969 | − | 5.47507i | −0.242405 | − | 0.553066i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.39503 | + | 0.342329i | −0.839503 | + | 0.0342329i | ||||
\(101\) | 3.55331 | + | 1.47183i | 0.353567 | + | 0.146452i | 0.552396 | − | 0.833582i | \(-0.313714\pi\) |
−0.198828 | + | 0.980034i | \(0.563714\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.30552 | + | 3.30552i | 0.325703 | + | 0.325703i | 0.850950 | − | 0.525247i | \(-0.176027\pi\) |
−0.525247 | + | 0.850950i | \(0.676027\pi\) | |||||||
\(104\) | −0.563100 | − | 9.19966i | −0.0552165 | − | 0.902101i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.236339 | − | 11.5964i | −0.0229553 | − | 1.12635i | ||||
\(107\) | 4.98987 | − | 12.0466i | 0.482389 | − | 1.16459i | −0.476082 | − | 0.879401i | \(-0.657943\pi\) |
0.958471 | − | 0.285190i | \(-0.0920567\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.16532 | + | 1.72533i | −0.398966 | + | 0.165257i | −0.573139 | − | 0.819458i | \(-0.694275\pi\) |
0.174174 | + | 0.984715i | \(0.444275\pi\) | |||||||
\(110\) | −1.76032 | + | 4.50745i | −0.167840 | + | 0.429768i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.31087 | − | 5.07784i | 0.407339 | − | 0.479811i | ||||
\(113\) | − | 15.7676i | − | 1.48329i | −0.670792 | − | 0.741645i | \(-0.734046\pi\) | ||
0.670792 | − | 0.741645i | \(-0.265954\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.32059 | − | 2.61807i | 0.589398 | − | 0.244137i | ||||
\(116\) | 12.0925 | + | 4.44078i | 1.12276 | + | 0.412316i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.339747 | + | 0.00692414i | −0.0312762 | + | 0.000637419i | ||||
\(119\) | −5.39548 | + | 5.39548i | −0.494603 | + | 0.494603i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.58325 | − | 2.58325i | −0.234841 | − | 0.234841i | ||||
\(122\) | 7.11407 | + | 6.82989i | 0.644077 | + | 0.618349i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.12265 | + | 7.72824i | −0.639633 | + | 0.694016i | ||||
\(125\) | 3.14736 | + | 7.59841i | 0.281509 | + | 0.679623i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.62550 | 0.499182 | 0.249591 | − | 0.968351i | \(-0.419704\pi\) | ||||
0.249591 | + | 0.968351i | \(0.419704\pi\) | |||||||
\(128\) | −10.9618 | − | 2.79968i | −0.968898 | − | 0.247459i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.77285 | + | 1.65362i | −0.330901 | + | 0.145032i | ||||
\(131\) | −2.77061 | − | 6.68884i | −0.242069 | − | 0.584407i | 0.755419 | − | 0.655242i | \(-0.227433\pi\) |
−0.997488 | + | 0.0708355i | \(0.977433\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.49490 | − | 2.27606i | −0.476468 | − | 0.197360i | ||||
\(134\) | −14.7297 | − | 14.1413i | −1.27246 | − | 1.22163i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.2544 | + | 4.21889i | 1.05081 | + | 0.361767i | ||||
\(137\) | −3.13785 | + | 3.13785i | −0.268085 | + | 0.268085i | −0.828328 | − | 0.560243i | \(-0.810708\pi\) |
0.560243 | + | 0.828328i | \(0.310708\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.60636 | − | 8.70653i | 0.305888 | − | 0.738478i | −0.693942 | − | 0.720031i | \(-0.744128\pi\) |
0.999830 | − | 0.0184473i | \(-0.00587229\pi\) | |||||||
\(140\) | −2.79452 | − | 1.02624i | −0.236180 | − | 0.0867330i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.81814 | − | 1.10059i | −0.236493 | − | 0.0923591i | ||||
\(143\) | − | 12.4740i | − | 1.04313i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 5.75746i | − | 0.478131i | ||||||
\(146\) | −7.00407 | + | 17.9345i | −0.579661 | + | 1.48427i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.4184 | − | 6.67297i | 1.18519 | − | 0.548515i | ||||
\(149\) | 1.00661 | − | 2.43018i | 0.0824648 | − | 0.199088i | −0.877269 | − | 0.479999i | \(-0.840637\pi\) |
0.959734 | + | 0.280912i | \(0.0906368\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.3784 | + | 14.3784i | −1.17010 | + | 1.17010i | −0.187914 | + | 0.982186i | \(0.560173\pi\) |
−0.982186 | + | 0.187914i | \(0.939827\pi\) | |||||||
\(152\) | 0.617186 | + | 10.0833i | 0.0500604 | + | 0.817863i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.24324 | − | 6.50301i | 0.503095 | − | 0.524028i | ||||
\(155\) | 4.33966 | + | 1.79755i | 0.348570 | + | 0.144382i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.10034 | − | 5.07067i | −0.167625 | − | 0.404684i | 0.817637 | − | 0.575734i | \(-0.195284\pi\) |
−0.985262 | + | 0.171051i | \(0.945284\pi\) | |||||||
\(158\) | −3.03437 | − | 6.92315i | −0.241402 | − | 0.550776i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.514300 | + | 5.03024i | 0.0406590 | + | 0.397676i | ||||
\(161\) | −12.7452 | −1.00446 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.14645 | − | 10.0104i | −0.324775 | − | 0.784076i | −0.998964 | − | 0.0455168i | \(-0.985507\pi\) |
0.674189 | − | 0.738559i | \(-0.264493\pi\) | |||||||
\(164\) | −0.156636 | − | 3.84124i | −0.0122312 | − | 0.299950i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.98151 | + | 6.23039i | −0.464255 | + | 0.483572i | ||||
\(167\) | 5.38194 | + | 5.38194i | 0.416467 | + | 0.416467i | 0.883984 | − | 0.467517i | \(-0.154851\pi\) |
−0.467517 | + | 0.883984i | \(0.654851\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.68373 | + | 1.68373i | −0.129518 | + | 0.129518i | ||||
\(170\) | −0.118026 | − | 5.79117i | −0.00905218 | − | 0.444163i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.49260 | + | 14.0287i | 0.495056 | + | 1.06968i | ||||
\(173\) | 9.62485 | − | 3.98675i | 0.731764 | − | 0.303107i | 0.0144874 | − | 0.999895i | \(-0.495388\pi\) |
0.717277 | + | 0.696788i | \(0.245388\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 6.99566i | − | 0.528822i | ||||||
\(176\) | −14.5764 | − | 4.68834i | −1.09874 | − | 0.353397i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.48283 | − | 3.70339i | −0.710768 | − | 0.277581i | ||||
\(179\) | 12.7809 | − | 5.29402i | 0.955288 | − | 0.395693i | 0.150072 | − | 0.988675i | \(-0.452049\pi\) |
0.805216 | + | 0.592982i | \(0.202049\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.21217 | − | 19.8259i | 0.610406 | − | 1.47365i | −0.252150 | − | 0.967688i | \(-0.581138\pi\) |
0.862556 | − | 0.505962i | \(-0.168862\pi\) | |||||||
\(182\) | 7.67254 | − | 0.156369i | 0.568726 | − | 0.0115908i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.49069 | + | 19.4565i | 0.699663 | + | 1.43435i | ||||
\(185\) | −5.02098 | − | 5.02098i | −0.369150 | − | 0.369150i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.2051 | + | 6.71238i | 1.18504 | + | 0.490858i | ||||
\(188\) | 12.0059 | + | 11.0651i | 0.875618 | + | 0.807005i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.13523 | − | 1.81245i | 0.300001 | − | 0.131489i | ||||
\(191\) | 10.3772 | 0.750866 | 0.375433 | − | 0.926850i | \(-0.377494\pi\) | ||||
0.375433 | + | 0.926850i | \(0.377494\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.76090 | −0.630623 | −0.315312 | − | 0.948988i | \(-0.602109\pi\) | ||||
−0.315312 | + | 0.948988i | \(0.602109\pi\) | |||||||
\(194\) | 24.6289 | − | 10.7947i | 1.76825 | − | 0.775014i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.21647 | − | 5.72935i | −0.444033 | − | 0.409239i | ||||
\(197\) | 4.35045 | + | 1.80201i | 0.309956 | + | 0.128388i | 0.532239 | − | 0.846594i | \(-0.321351\pi\) |
−0.222283 | + | 0.974982i | \(0.571351\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.47990 | + | 3.47990i | 0.246684 | + | 0.246684i | 0.819608 | − | 0.572925i | \(-0.194191\pi\) |
−0.572925 | + | 0.819608i | \(0.694191\pi\) | |||||||
\(200\) | −10.6794 | + | 5.20932i | −0.755151 | + | 0.368355i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.43804 | − | 0.110829i | 0.382619 | − | 0.00779790i | ||||
\(203\) | −4.10463 | + | 9.90945i | −0.288088 | + | 0.695507i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.58741 | + | 0.657527i | −0.110870 | + | 0.0459237i | ||||
\(206\) | 6.15809 | + | 2.40496i | 0.429054 | + | 0.167561i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.95207 | − | 11.5963i | −0.412702 | − | 0.804060i | ||||
\(209\) | 13.6721i | 0.945722i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.76129 | + | 1.97219i | −0.327781 | + | 0.135771i | −0.540505 | − | 0.841341i | \(-0.681767\pi\) |
0.212724 | + | 0.977112i | \(0.431767\pi\) | |||||||
\(212\) | −6.88950 | − | 14.8863i | −0.473173 | − | 1.02239i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.375739 | − | 18.4363i | −0.0256850 | − | 1.26028i | ||||
\(215\) | 4.88527 | − | 4.88527i | 0.333173 | − | 0.333173i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.18769 | − | 6.18769i | −0.420048 | − | 0.420048i | ||||
\(218\) | −4.41571 | + | 4.59944i | −0.299070 | + | 0.311514i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.278824 | + | 6.83768i | 0.0187983 | + | 0.460996i | ||||
\(221\) | 5.71410 | + | 13.7951i | 0.384372 | + | 0.927956i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.6045 | 0.844059 | 0.422029 | − | 0.906582i | \(-0.361318\pi\) | ||||
0.422029 | + | 0.906582i | \(0.361318\pi\) | |||||||
\(224\) | 2.70099 | − | 9.02446i | 0.180468 | − | 0.602972i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.95136 | − | 20.4232i | −0.595436 | − | 1.35853i | ||||
\(227\) | −1.84453 | − | 4.45310i | −0.122426 | − | 0.295563i | 0.850771 | − | 0.525537i | \(-0.176136\pi\) |
−0.973197 | + | 0.229975i | \(0.926136\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.3957 | − | 8.03395i | −1.28170 | − | 0.530898i | −0.365200 | − | 0.930929i | \(-0.618999\pi\) |
−0.916502 | + | 0.400031i | \(0.868999\pi\) | |||||||
\(230\) | 6.70053 | − | 6.97933i | 0.441820 | − | 0.460204i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.1841 | − | 1.11303i | 1.19384 | − | 0.0730737i | ||||
\(233\) | −13.4162 | + | 13.4162i | −0.878921 | + | 0.878921i | −0.993423 | − | 0.114502i | \(-0.963473\pi\) |
0.114502 | + | 0.993423i | \(0.463473\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.79250 | − | 6.74169i | 0.182163 | − | 0.439780i | ||||
\(236\) | −0.436131 | + | 0.201845i | −0.0283897 | + | 0.0131390i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.92552 | + | 10.0516i | −0.254454 | + | 0.651550i | ||||
\(239\) | − | 4.57889i | − | 0.296184i | −0.988974 | − | 0.148092i | \(-0.952687\pi\) | ||
0.988974 | − | 0.148092i | \(-0.0473131\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.5911i | 0.939895i | 0.882694 | + | 0.469948i | \(0.155727\pi\) | ||||
−0.882694 | + | 0.469948i | \(0.844273\pi\) | |||||||
\(242\) | −4.81253 | − | 1.87947i | −0.309361 | − | 0.120817i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 13.0920 | + | 4.80780i | 0.838127 | + | 0.307788i | ||||
\(245\) | −1.44592 | + | 3.49075i | −0.0923763 | + | 0.223016i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.22987 | + | 8.22987i | −0.523654 | + | 0.523654i | ||||
\(248\) | −4.83835 | + | 14.0537i | −0.307236 | + | 0.892410i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.39034 | + | 8.05517i | 0.530651 | + | 0.509454i | ||||
\(251\) | 1.91315 | + | 0.792453i | 0.120757 | + | 0.0500192i | 0.442244 | − | 0.896895i | \(-0.354183\pi\) |
−0.321487 | + | 0.946914i | \(0.604183\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.2118 | + | 27.0678i | 0.704882 | + | 1.70174i | ||||
\(254\) | 7.28650 | − | 3.19363i | 0.457196 | − | 0.200386i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.7879 | + | 2.59678i | −0.986742 | + | 0.162299i | ||||
\(257\) | 21.4012 | 1.33497 | 0.667485 | − | 0.744624i | \(-0.267371\pi\) | ||||
0.667485 | + | 0.744624i | \(0.267371\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.06229 | + | 12.2214i | 0.314555 | + | 0.759403i | ||||
\(260\) | −3.94807 | + | 4.28374i | −0.244849 | + | 0.265666i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.38597 | − | 7.09093i | −0.456307 | − | 0.438079i | ||||
\(263\) | −4.14877 | − | 4.14877i | −0.255824 | − | 0.255824i | 0.567529 | − | 0.823353i | \(-0.307899\pi\) |
−0.823353 | + | 0.567529i | \(0.807899\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.18391 | + | 5.18391i | −0.318445 | + | 0.318445i | ||||
\(266\) | −8.40949 | + | 0.171388i | −0.515619 | + | 0.0105085i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −27.1070 | − | 9.95460i | −1.65583 | − | 0.608074i | ||||
\(269\) | −28.0039 | + | 11.5996i | −1.70743 | + | 0.707241i | −0.707430 | + | 0.706783i | \(0.750146\pi\) |
−1.00000 | 0.000457143i | \(0.999854\pi\) | ||||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.3370i | 0.627930i | 0.949435 | + | 0.313965i | \(0.101657\pi\) | ||||
−0.949435 | + | 0.313965i | \(0.898343\pi\) | |||||||
\(272\) | 18.2678 | − | 1.49231i | 1.10765 | − | 0.0904847i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.28297 | + | 5.84572i | −0.137919 | + | 0.353153i | ||||
\(275\) | −14.8572 | + | 6.15404i | −0.895920 | + | 0.371102i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.39508 | + | 15.4391i | −0.384243 | + | 0.927645i | 0.606892 | + | 0.794785i | \(0.292416\pi\) |
−0.991135 | + | 0.132860i | \(0.957584\pi\) | |||||||
\(278\) | −0.271560 | − | 13.3246i | −0.0162871 | − | 0.799157i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.20224 | + | 0.257214i | −0.251132 | + | 0.0153715i | ||||
\(281\) | −7.85631 | − | 7.85631i | −0.468668 | − | 0.468668i | 0.432815 | − | 0.901483i | \(-0.357520\pi\) |
−0.901483 | + | 0.432815i | \(0.857520\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.76840 | + | 2.80356i | 0.402340 | + | 0.166655i | 0.574671 | − | 0.818385i | \(-0.305130\pi\) |
−0.172331 | + | 0.985039i | \(0.555130\pi\) | |||||||
\(284\) | −4.27504 | + | 0.174326i | −0.253677 | + | 0.0103443i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.08157 | − | 16.1571i | −0.418742 | − | 0.955392i | ||||
\(287\) | 3.20094 | 0.188945 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.99613 | −0.235067 | ||||||||
\(290\) | −3.26855 | − | 7.45743i | −0.191936 | − | 0.437916i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.10940 | + | 27.2061i | 0.0649228 | + | 1.59212i | ||||
\(293\) | −12.3397 | − | 5.11128i | −0.720895 | − | 0.298604i | −0.00809031 | − | 0.999967i | \(-0.502575\pi\) |
−0.712804 | + | 0.701363i | \(0.752575\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.151875 | + | 0.151875i | 0.00884253 | + | 0.00884253i | ||||
\(296\) | 14.8874 | − | 16.8287i | 0.865312 | − | 0.978148i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.0757981 | − | 3.71918i | −0.00439086 | − | 0.215446i | ||||
\(299\) | −9.54439 | + | 23.0422i | −0.551966 | + | 1.33256i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −11.8911 | + | 4.92545i | −0.685392 | + | 0.283898i | ||||
\(302\) | −10.4611 | + | 26.7866i | −0.601971 | + | 1.54139i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.52376 | + | 12.7101i | 0.374164 | + | 0.728977i | ||||
\(305\) | − | 6.23330i | − | 0.356918i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.47343 | + | 3.09560i | −0.426531 | + | 0.176675i | −0.585614 | − | 0.810590i | \(-0.699146\pi\) |
0.159082 | + | 0.987265i | \(0.449146\pi\) | |||||||
\(308\) | 4.39484 | − | 11.9675i | 0.250420 | − | 0.681909i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.64149 | − | 0.135356i | 0.377211 | − | 0.00768768i | ||||
\(311\) | −12.5179 | + | 12.5179i | −0.709823 | + | 0.709823i | −0.966498 | − | 0.256675i | \(-0.917373\pi\) |
0.256675 | + | 0.966498i | \(0.417373\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.11020 | + | 2.11020i | 0.119276 | + | 0.119276i | 0.764225 | − | 0.644950i | \(-0.223122\pi\) |
−0.644950 | + | 0.764225i | \(0.723122\pi\) | |||||||
\(314\) | −5.59915 | − | 5.37548i | −0.315978 | − | 0.303356i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.86063 | − | 7.24467i | −0.442195 | − | 0.407545i | ||||
\(317\) | −13.3122 | − | 32.1384i | −0.747686 | − | 1.80507i | −0.571278 | − | 0.820756i | \(-0.693552\pi\) |
−0.176408 | − | 0.984317i | \(-0.556448\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 24.6562 | 1.38048 | ||||||||
\(320\) | 3.52186 | + | 6.22352i | 0.196878 | + | 0.347906i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −16.5083 | + | 7.23551i | −0.919974 | + | 0.403219i | ||||
\(323\) | −6.26294 | − | 15.1201i | −0.348479 | − | 0.841304i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.6476 | − | 5.23880i | −0.701561 | − | 0.290596i | ||||
\(326\) | −11.0537 | − | 10.6122i | −0.612209 | − | 0.587753i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.38358 | − | 4.88649i | −0.131611 | − | 0.269811i | ||||
\(329\) | −9.61262 | + | 9.61262i | −0.529961 | + | 0.529961i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.26744 | + | 3.05988i | −0.0696650 | + | 0.168186i | −0.954877 | − | 0.297002i | \(-0.904013\pi\) |
0.885212 | + | 0.465188i | \(0.154013\pi\) | |||||||
\(332\) | −4.21060 | + | 11.4657i | −0.231087 | + | 0.629264i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.0264 | + | 3.91567i | 0.548620 | + | 0.214256i | ||||
\(335\) | 12.9061i | 0.705136i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 10.1534i | − | 0.553088i | −0.961001 | − | 0.276544i | \(-0.910811\pi\) | ||
0.961001 | − | 0.276544i | \(-0.0891892\pi\) | |||||||
\(338\) | −1.22501 | + | 3.13674i | −0.0666317 | + | 0.170616i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.44056 | − | 7.43410i | −0.186591 | − | 0.403171i | ||||
\(341\) | −7.69795 | + | 18.5845i | −0.416868 | + | 1.00641i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.2198 | − | 13.2198i | 0.713801 | − | 0.713801i | ||||
\(344\) | 16.3738 | + | 14.4850i | 0.882817 | + | 0.780978i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.2034 | − | 10.6280i | 0.548540 | − | 0.571364i | ||||
\(347\) | 25.9794 | + | 10.7610i | 1.39465 | + | 0.577681i | 0.948356 | − | 0.317208i | \(-0.102745\pi\) |
0.446289 | + | 0.894889i | \(0.352745\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.71239 | + | 13.7909i | 0.305777 | + | 0.738212i | 0.999833 | + | 0.0182903i | \(0.00582231\pi\) |
−0.694055 | + | 0.719922i | \(0.744178\pi\) | |||||||
\(350\) | −3.97148 | − | 9.06123i | −0.212285 | − | 0.484343i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −21.5419 | + | 2.20248i | −1.14819 | + | 0.117392i | ||||
\(353\) | 18.8434 | 1.00293 | 0.501467 | − | 0.865177i | \(-0.332794\pi\) | ||||
0.501467 | + | 0.865177i | \(0.332794\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.731784 | + | 1.76668i | 0.0388391 | + | 0.0937658i | ||||
\(356\) | −14.3852 | + | 0.586594i | −0.762415 | + | 0.0310894i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.5492 | − | 14.1129i | 0.716096 | − | 0.745892i | ||||
\(359\) | 18.8776 | + | 18.8776i | 0.996324 | + | 0.996324i | 0.999993 | − | 0.00366976i | \(-0.00116812\pi\) |
−0.00366976 | + | 0.999993i | \(0.501168\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.41468 | + | 4.41468i | −0.232352 | + | 0.232352i | ||||
\(362\) | −0.618378 | − | 30.3419i | −0.0325012 | − | 1.59474i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.84919 | − | 4.55829i | 0.516238 | − | 0.238919i | ||||
\(365\) | 11.2431 | − | 4.65704i | 0.588490 | − | 0.243760i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 25.6668i | − | 1.33980i | −0.742453 | − | 0.669898i | \(-0.766338\pi\) | ||
0.742453 | − | 0.669898i | \(-0.233662\pi\) | |||||||
\(368\) | 23.3385 | + | 19.8134i | 1.21661 | + | 1.03285i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.35395 | − | 3.65306i | −0.486288 | − | 0.189913i | ||||
\(371\) | 12.6180 | − | 5.22655i | 0.655094 | − | 0.271349i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.11418 | − | 7.51829i | 0.161246 | − | 0.389282i | −0.822521 | − | 0.568735i | \(-0.807433\pi\) |
0.983767 | + | 0.179453i | \(0.0574328\pi\) | |||||||
\(374\) | 24.8006 | − | 0.505444i | 1.28241 | − | 0.0261359i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 21.8325 | + | 7.51641i | 1.12593 | + | 0.387629i | ||||
\(377\) | 14.8417 | + | 14.8417i | 0.764384 | + | 0.764384i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.17051 | − | 2.14170i | −0.265591 | − | 0.110012i | 0.245914 | − | 0.969292i | \(-0.420912\pi\) |
−0.511505 | + | 0.859280i | \(0.670912\pi\) | |||||||
\(380\) | 4.32728 | − | 4.69519i | 0.221985 | − | 0.240858i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 13.4412 | − | 5.89119i | 0.687711 | − | 0.301419i | ||||
\(383\) | −33.8865 | −1.73152 | −0.865758 | − | 0.500462i | \(-0.833163\pi\) | ||||
−0.865758 | + | 0.500462i | \(0.833163\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.69790 | −0.290392 | ||||||||
\(386\) | −11.3477 | + | 4.97362i | −0.577582 | + | 0.253150i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 25.7727 | − | 27.9640i | 1.30841 | − | 1.41966i | ||||
\(389\) | 3.06573 | + | 1.26987i | 0.155439 | + | 0.0643847i | 0.459046 | − | 0.888412i | \(-0.348191\pi\) |
−0.303608 | + | 0.952797i | \(0.598191\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −24.7984 | − | 24.7984i | −1.25411 | − | 1.25411i | ||||
\(392\) | −11.3046 | − | 3.89189i | −0.570966 | − | 0.196570i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.65799 | − | 0.135692i | 0.335425 | − | 0.00683606i | ||||
\(395\) | −1.82834 | + | 4.41400i | −0.0919938 | + | 0.222093i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.9201 | − | 9.07961i | 1.10014 | − | 0.455693i | 0.242608 | − | 0.970124i | \(-0.421997\pi\) |
0.857531 | + | 0.514432i | \(0.171997\pi\) | |||||||
\(398\) | 6.48295 | + | 2.53183i | 0.324961 | + | 0.126909i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.8753 | + | 12.8102i | −0.543767 | + | 0.640512i | ||||
\(401\) | − | 7.03254i | − | 0.351188i | −0.984463 | − | 0.175594i | \(-0.943815\pi\) | ||
0.984463 | − | 0.175594i | \(-0.0561846\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.8206 | + | 6.55310i | −0.788079 | + | 0.326433i | ||||
\(404\) | 6.98078 | − | 3.23076i | 0.347307 | − | 0.160736i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.309079 | + | 15.1656i | 0.0153394 | + | 0.752655i | ||||
\(407\) | 21.5023 | − | 21.5023i | 1.06583 | − | 1.06583i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.52966 | − | 5.52966i | −0.273424 | − | 0.273424i | 0.557053 | − | 0.830477i | \(-0.311932\pi\) |
−0.830477 | + | 0.557053i | \(0.811932\pi\) | |||||||
\(410\) | −1.68283 | + | 1.75285i | −0.0831093 | + | 0.0865673i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.34166 | − | 0.380930i | 0.460231 | − | 0.0187671i | ||||
\(413\) | −0.153125 | − | 0.369676i | −0.00753478 | − | 0.0181906i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.45903 | 0.267973 | ||||||||
\(416\) | −14.2928 | − | 11.6413i | −0.700762 | − | 0.570760i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.76176 | + | 17.7090i | 0.379640 | + | 0.866177i | ||||
\(419\) | 7.37792 | + | 17.8119i | 0.360435 | + | 0.870167i | 0.995236 | + | 0.0974917i | \(0.0310819\pi\) |
−0.634801 | + | 0.772675i | \(0.718918\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.73622 | − | 2.37602i | −0.279566 | − | 0.115800i | 0.238495 | − | 0.971144i | \(-0.423346\pi\) |
−0.518061 | + | 0.855344i | \(0.673346\pi\) | |||||||
\(422\) | −5.04751 | + | 5.25753i | −0.245709 | + | 0.255932i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −17.3748 | − | 15.3705i | −0.843793 | − | 0.746456i | ||||
\(425\) | 13.6116 | − | 13.6116i | 0.660257 | − | 0.660257i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.44387 | + | 10.7284i | −0.215054 | + | 0.519186i | ||||
\(428\) | −10.9531 | − | 23.6666i | −0.529439 | − | 1.14397i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.55432 | − | 9.10111i | 0.171404 | − | 0.438895i | ||||
\(431\) | − | 16.9436i | − | 0.816146i | −0.912949 | − | 0.408073i | \(-0.866201\pi\) | ||
0.912949 | − | 0.408073i | \(-0.133799\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 26.4587i | 1.27152i | 0.771886 | + | 0.635761i | \(0.219314\pi\) | ||||
−0.771886 | + | 0.635761i | \(0.780686\pi\) | |||||||
\(434\) | −11.5275 | − | 4.50191i | −0.553337 | − | 0.216098i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.10838 | + | 8.46432i | −0.148864 | + | 0.405367i | ||||
\(437\) | 10.4611 | − | 25.2554i | 0.500424 | − | 1.20813i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.68299 | − | 9.68299i | 0.462144 | − | 0.462144i | −0.437214 | − | 0.899358i | \(-0.644035\pi\) |
0.899358 | + | 0.437214i | \(0.144035\pi\) | |||||||
\(440\) | 4.24295 | + | 8.69831i | 0.202274 | + | 0.414676i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 15.2328 | + | 14.6243i | 0.724551 | + | 0.695608i | ||||
\(443\) | −10.4314 | − | 4.32084i | −0.495612 | − | 0.205289i | 0.120855 | − | 0.992670i | \(-0.461437\pi\) |
−0.616467 | + | 0.787381i | \(0.711437\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.46240 | + | 5.94476i | 0.116729 | + | 0.281809i | ||||
\(446\) | 16.3261 | − | 7.15565i | 0.773065 | − | 0.338830i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.62474 | − | 13.2224i | −0.0767620 | − | 0.624701i | ||||
\(449\) | 23.6353 | 1.11542 | 0.557708 | − | 0.830037i | \(-0.311681\pi\) | ||||
0.557708 | + | 0.830037i | \(0.311681\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.81585 | − | 6.79805i | −0.132593 | − | 0.320108i | ||||
\(452\) | −23.1888 | − | 21.3717i | −1.09071 | − | 1.00524i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.91721 | − | 4.72079i | −0.230776 | − | 0.221557i | ||||
\(455\) | −3.42982 | − | 3.42982i | −0.160792 | − | 0.160792i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.4812 | − | 23.4812i | 1.09840 | − | 1.09840i | 0.103807 | − | 0.994597i | \(-0.466898\pi\) |
0.994597 | − | 0.103807i | \(-0.0331025\pi\) | |||||||
\(458\) | −29.6834 | + | 0.604958i | −1.38702 | + | 0.0282678i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.71675 | − | 12.8440i | 0.219920 | − | 0.598855i | ||||
\(461\) | −25.8692 | + | 10.7154i | −1.20485 | + | 0.499064i | −0.892562 | − | 0.450924i | \(-0.851095\pi\) |
−0.312286 | + | 0.949988i | \(0.601095\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 19.5222i | − | 0.907272i | −0.891187 | − | 0.453636i | \(-0.850127\pi\) | ||
0.891187 | − | 0.453636i | \(-0.149873\pi\) | |||||||
\(464\) | 22.9213 | − | 11.7649i | 1.06410 | − | 0.546171i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.76103 | + | 24.9939i | −0.452171 | + | 1.15782i | ||||
\(467\) | 5.42932 | − | 2.24890i | 0.251239 | − | 0.104067i | −0.253510 | − | 0.967333i | \(-0.581585\pi\) |
0.504749 | + | 0.863266i | \(0.331585\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.20107 | − | 22.2133i | 0.424866 | − | 1.02572i | ||||
\(470\) | −0.210276 | − | 10.3176i | −0.00969930 | − | 0.475915i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.450316 | + | 0.509037i | −0.0207275 | + | 0.0234303i | ||||
\(473\) | 20.9211 | + | 20.9211i | 0.961951 | + | 0.961951i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.8624 | + | 5.74198i | 0.636049 | + | 0.263460i | ||||
\(476\) | 0.621779 | + | 15.2481i | 0.0284992 | + | 0.698893i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.59946 | − | 5.93087i | −0.118897 | − | 0.271272i | ||||
\(479\) | −14.2300 | −0.650187 | −0.325094 | − | 0.945682i | \(-0.605396\pi\) | ||||
−0.325094 | + | 0.945682i | \(0.605396\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 25.8863 | 1.18031 | ||||||||
\(482\) | 8.28346 | + | 18.8993i | 0.377301 | + | 0.860841i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.30048 | + | 0.297696i | −0.331840 | + | 0.0135316i | ||||
\(485\) | −15.7027 | − | 6.50427i | −0.713023 | − | 0.295344i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 17.2727 | + | 17.2727i | 0.782700 | + | 0.782700i | 0.980286 | − | 0.197586i | \(-0.0633102\pi\) |
−0.197586 | + | 0.980286i | \(0.563310\pi\) | |||||||
\(488\) | 19.6870 | − | 1.20502i | 0.891188 | − | 0.0545485i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.108878 | + | 5.34230i | 0.00491860 | + | 0.241341i | ||||
\(491\) | 2.16195 | − | 5.21940i | 0.0975673 | − | 0.235548i | −0.867558 | − | 0.497335i | \(-0.834312\pi\) |
0.965126 | + | 0.261787i | \(0.0843118\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −27.2674 | + | 11.2945i | −1.22806 | + | 0.508680i | ||||
\(494\) | −5.98771 | + | 15.3320i | −0.269400 | + | 0.689819i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.71143 | + | 20.9500i | 0.0768453 | + | 0.940683i | ||||
\(497\) | − | 3.56243i | − | 0.159797i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.2581 | + | 5.90591i | −0.638281 | + | 0.264385i | −0.678267 | − | 0.734816i | \(-0.737269\pi\) |
0.0399860 | + | 0.999200i | \(0.487269\pi\) | |||||||
\(500\) | 15.4407 | + | 5.67033i | 0.690528 | + | 0.253585i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.92792 | − | 0.0596719i | 0.130679 | − | 0.00266329i | ||||
\(503\) | 9.06568 | − | 9.06568i | 0.404219 | − | 0.404219i | −0.475498 | − | 0.879717i | \(-0.657732\pi\) |
0.879717 | + | 0.475498i | \(0.157732\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.43094 | − | 2.43094i | −0.108176 | − | 0.108176i | ||||
\(506\) | 29.8888 | + | 28.6949i | 1.32872 | + | 1.27564i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.62490 | − | 8.27319i | 0.338300 | − | 0.367063i | ||||
\(509\) | −8.46300 | − | 20.4315i | −0.375116 | − | 0.905610i | −0.992866 | − | 0.119236i | \(-0.961956\pi\) |
0.617750 | − | 0.786375i | \(-0.288044\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.6711 | −1.00291 | ||||||||
\(512\) | −18.9752 | + | 12.3264i | −0.838595 | + | 0.544755i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 27.7202 | − | 12.1496i | 1.22269 | − | 0.535895i | ||||
\(515\) | −1.59907 | − | 3.86049i | −0.0704633 | − | 0.170114i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 28.8712 | + | 11.9588i | 1.26975 | + | 0.525949i | ||||
\(518\) | 13.4952 | + | 12.9561i | 0.592945 | + | 0.569259i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.68188 | + | 7.78992i | −0.117608 | + | 0.341610i | ||||
\(521\) | 6.25345 | − | 6.25345i | 0.273969 | − | 0.273969i | −0.556727 | − | 0.830696i | \(-0.687943\pi\) |
0.830696 | + | 0.556727i | \(0.187943\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.570636 | − | 1.37764i | 0.0249522 | − | 0.0602399i | −0.910912 | − | 0.412600i | \(-0.864621\pi\) |
0.935865 | + | 0.352360i | \(0.114621\pi\) | |||||||
\(524\) | −13.5923 | − | 4.99156i | −0.593784 | − | 0.218057i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.72904 | − | 3.01847i | −0.337002 | − | 0.131612i | ||||
\(527\) | − | 24.0790i | − | 1.04890i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 35.5787i | − | 1.54690i | ||||||
\(530\) | −3.77159 | + | 9.65747i | −0.163827 | + | 0.419493i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.7952 | + | 4.99611i | −0.468032 | + | 0.216609i | ||||
\(533\) | 2.39707 | − | 5.78703i | 0.103829 | − | 0.250664i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.24152 | + | 8.24152i | −0.356312 | + | 0.356312i | ||||
\(536\) | −40.7621 | + | 2.49499i | −1.76065 | + | 0.107767i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −29.6873 | + | 30.9226i | −1.27991 | + | 1.33317i | ||||
\(539\) | −14.9491 | − | 6.19211i | −0.643902 | − | 0.266713i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.3150 | − | 29.7310i | −0.529463 | − | 1.27824i | −0.931876 | − | 0.362778i | \(-0.881828\pi\) |
0.402413 | − | 0.915458i | \(-0.368172\pi\) | |||||||
\(542\) | 5.86840 | + | 13.3892i | 0.252069 | + | 0.575115i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 22.8144 | − | 12.3037i | 0.978159 | − | 0.527515i | ||||
\(545\) | 4.03000 | 0.172626 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.9326 | + | 31.2221i | 0.552959 | + | 1.33496i | 0.915246 | + | 0.402895i | \(0.131996\pi\) |
−0.362287 | + | 0.932067i | \(0.618004\pi\) | |||||||
\(548\) | 0.361608 | + | 8.86781i | 0.0154471 | + | 0.378814i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −15.7503 | + | 16.4056i | −0.671593 | + | 0.699538i | ||||
\(551\) | −16.2672 | − | 16.2672i | −0.693006 | − | 0.693006i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.29369 | − | 6.29369i | 0.267635 | − | 0.267635i | ||||
\(554\) | 0.481551 | + | 23.6282i | 0.0204591 | + | 1.00387i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.91621 | − | 17.1047i | −0.335722 | − | 0.725402i | ||||
\(557\) | 2.78310 | − | 1.15280i | 0.117924 | − | 0.0488456i | −0.322941 | − | 0.946419i | \(-0.604672\pi\) |
0.440865 | + | 0.897573i | \(0.354672\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 25.1866i | 1.06528i | ||||||||
\(560\) | −5.29699 | + | 2.71880i | −0.223839 | + | 0.114890i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.6361 | − | 5.71592i | −0.617386 | − | 0.241112i | ||||
\(563\) | −35.0055 | + | 14.4998i | −1.47531 | + | 0.611092i | −0.968062 | − | 0.250709i | \(-0.919336\pi\) |
−0.507245 | + | 0.861802i | \(0.669336\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.39358 | + | 13.0213i | −0.226910 | + | 0.547808i | ||||
\(566\) | 10.3585 | − | 0.211109i | 0.435399 | − | 0.00887357i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.43834 | + | 2.65277i | −0.228188 | + | 0.111308i | ||||
\(569\) | −11.2443 | − | 11.2443i | −0.471387 | − | 0.471387i | 0.430976 | − | 0.902363i | \(-0.358169\pi\) |
−0.902363 | + | 0.430976i | \(0.858169\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.4655 | − | 7.23445i | −0.730909 | − | 0.302752i | −0.0139834 | − | 0.999902i | \(-0.504451\pi\) |
−0.716925 | + | 0.697150i | \(0.754451\pi\) | |||||||
\(572\) | −18.3450 | − | 16.9075i | −0.767044 | − | 0.706938i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.14606 | − | 1.81719i | 0.173053 | − | 0.0758482i | ||||
\(575\) | 32.1531 | 1.34088 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.06924 | −0.0445129 | −0.0222564 | − | 0.999752i | \(-0.507085\pi\) | ||||
−0.0222564 | + | 0.999752i | \(0.507085\pi\) | |||||||
\(578\) | −5.17605 | + | 2.26863i | −0.215295 | + | 0.0943626i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −8.46726 | − | 7.80377i | −0.351584 | − | 0.324034i | ||||
\(581\) | −9.39581 | − | 3.89187i | −0.389804 | − | 0.161462i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.2000 | − | 22.2000i | −0.919429 | − | 0.919429i | ||||
\(584\) | 16.8821 | + | 34.6093i | 0.698585 | + | 1.43214i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.8849 | + | 0.384881i | −0.780129 | + | 0.0158993i | ||||
\(587\) | 5.82611 | − | 14.0655i | 0.240469 | − | 0.580544i | −0.756860 | − | 0.653577i | \(-0.773268\pi\) |
0.997330 | + | 0.0730327i | \(0.0232677\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.3402 | − | 7.18253i | 0.714488 | − | 0.295951i | ||||
\(590\) | 0.282939 | + | 0.110498i | 0.0116484 | + | 0.00454914i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.72935 | − | 30.2493i | 0.399874 | − | 1.24324i | ||||
\(593\) | 41.5874i | 1.70779i | 0.520447 | + | 0.853894i | \(0.325765\pi\) | ||||
−0.520447 | + | 0.853894i | \(0.674235\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.30134 | − | 2.61010i | 0.258330 | − | 0.107004i | ||||
\(596\) | −2.20958 | − | 4.77429i | −0.0905079 | − | 0.195562i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.718695 | + | 35.2641i | 0.0293896 | + | 1.44206i | ||||
\(599\) | −2.97009 | + | 2.97009i | −0.121354 | + | 0.121354i | −0.765176 | − | 0.643821i | \(-0.777348\pi\) |
0.643821 | + | 0.765176i | \(0.277348\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.7211 | + | 24.7211i | 1.00840 | + | 1.00840i | 0.999964 | + | 0.00843176i | \(0.00268394\pi\) |
0.00843176 | + | 0.999964i | \(0.497316\pi\) | |||||||
\(602\) | −12.6059 | + | 13.1304i | −0.513778 | + | 0.535156i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.65698 | + | 40.6345i | 0.0674215 | + | 1.65340i | ||||
\(605\) | 1.24967 | + | 3.01696i | 0.0508062 | + | 0.122657i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.96020 | −0.282506 | −0.141253 | − | 0.989974i | \(-0.545113\pi\) | ||||
−0.141253 | + | 0.989974i | \(0.545113\pi\) | |||||||
\(608\) | 15.6656 | + | 12.7594i | 0.635325 | + | 0.517462i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.53869 | − | 8.07378i | −0.143277 | − | 0.326898i | ||||
\(611\) | 10.1803 | + | 24.5774i | 0.411850 | + | 0.994294i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.35571 | + | 3.04684i | 0.297094 | + | 0.123061i | 0.526252 | − | 0.850329i | \(-0.323597\pi\) |
−0.229157 | + | 0.973389i | \(0.573597\pi\) | |||||||
\(614\) | −7.92268 | + | 8.25233i | −0.319733 | + | 0.333037i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.10151 | − | 17.9960i | −0.0443812 | − | 0.725079i | ||||
\(617\) | 9.81719 | − | 9.81719i | 0.395225 | − | 0.395225i | −0.481320 | − | 0.876545i | \(-0.659842\pi\) |
0.876545 | + | 0.481320i | \(0.159842\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.68397 | + | 11.3081i | −0.188265 | + | 0.454511i | −0.989626 | − | 0.143670i | \(-0.954110\pi\) |
0.801361 | + | 0.598181i | \(0.204110\pi\) | |||||||
\(620\) | 8.52564 | − | 3.94574i | 0.342398 | − | 0.158465i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.10747 | + | 23.3204i | −0.365176 | + | 0.935063i | ||||
\(623\) | − | 11.9873i | − | 0.480262i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.6535i | 0.546138i | ||||||||
\(626\) | 3.93124 | + | 1.53529i | 0.157124 | + | 0.0613626i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.3041 | − | 3.78400i | −0.411177 | − | 0.150998i | ||||
\(629\) | −13.9297 | + | 33.6292i | −0.555412 | + | 1.34088i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.7384 | + | 29.7384i | −1.18387 | + | 1.18387i | −0.205130 | + | 0.978735i | \(0.565762\pi\) |
−0.978735 | + | 0.205130i | \(0.934238\pi\) | |||||||
\(632\) | −14.2944 | − | 4.92123i | −0.568602 | − | 0.195756i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −35.4880 | − | 34.0703i | −1.40941 | − | 1.35311i | ||||
\(635\) | −4.64567 | − | 1.92430i | −0.184358 | − | 0.0763635i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.27121 | − | 12.7258i | −0.208853 | − | 0.504215i | ||||
\(638\) | 31.9363 | − | 13.9975i | 1.26437 | − | 0.554166i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.09487 | + | 6.06173i | 0.319978 | + | 0.239611i | ||||
\(641\) | −10.7253 | −0.423623 | −0.211811 | − | 0.977311i | \(-0.567936\pi\) | ||||
−0.211811 | + | 0.977311i | \(0.567936\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.96903 | − | 16.8247i | −0.274832 | − | 0.663502i | 0.724846 | − | 0.688911i | \(-0.241911\pi\) |
−0.999677 | + | 0.0254092i | \(0.991911\pi\) | |||||||
\(644\) | −17.2750 | + | 18.7438i | −0.680732 | + | 0.738609i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.6959 | − | 16.0290i | −0.656893 | − | 0.630652i | ||||
\(647\) | −33.4123 | − | 33.4123i | −1.31357 | − | 1.31357i | −0.918764 | − | 0.394808i | \(-0.870811\pi\) |
−0.394808 | − | 0.918764i | \(-0.629189\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.650403 | + | 0.650403i | −0.0255306 | + | 0.0255306i | ||||
\(650\) | −19.3560 | + | 0.394482i | −0.759207 | + | 0.0154729i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −20.3421 | − | 7.47029i | −0.796657 | − | 0.292559i | ||||
\(653\) | 10.9408 | − | 4.53181i | 0.428145 | − | 0.177343i | −0.158196 | − | 0.987408i | \(-0.550568\pi\) |
0.586341 | + | 0.810064i | \(0.300568\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.47154i | 0.252864i | ||||||||
\(656\) | −5.86146 | − | 4.97613i | −0.228852 | − | 0.194285i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.99374 | + | 17.9080i | −0.272644 | + | 0.698128i | ||||
\(659\) | 0.739338 | − | 0.306244i | 0.0288005 | − | 0.0119296i | −0.368237 | − | 0.929732i | \(-0.620038\pi\) |
0.397037 | + | 0.917803i | \(0.370038\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.14127 | − | 7.58370i | 0.122181 | − | 0.294972i | −0.850941 | − | 0.525262i | \(-0.823967\pi\) |
0.973122 | + | 0.230290i | \(0.0739674\pi\) | |||||||
\(662\) | 0.0954387 | + | 4.68289i | 0.00370933 | + | 0.182006i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.05533 | + | 17.2416i | 0.0409549 | + | 0.669102i | ||||
\(665\) | 3.75926 | + | 3.75926i | 0.145778 | + | 0.145778i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −45.5453 | − | 18.8655i | −1.76352 | − | 0.730475i | ||||
\(668\) | 15.2098 | − | 0.620218i | 0.588484 | − | 0.0239969i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.32688 | + | 16.7168i | 0.283062 | + | 0.645827i | ||||
\(671\) | 26.6940 | 1.03051 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 32.0221 | 1.23436 | 0.617180 | − | 0.786822i | \(-0.288275\pi\) | ||||
0.617180 | + | 0.786822i | \(0.288275\pi\) | |||||||
\(674\) | −5.76412 | − | 13.1513i | −0.222026 | − | 0.506568i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.194034 | + | 4.75835i | 0.00746284 | + | 0.183013i | ||||
\(677\) | 22.8528 | + | 9.46594i | 0.878304 | + | 0.363805i | 0.775839 | − | 0.630931i | \(-0.217327\pi\) |
0.102465 | + | 0.994737i | \(0.467327\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.3897 | + | 22.3897i | 0.859236 | + | 0.859236i | ||||
\(680\) | −8.67682 | − | 7.67589i | −0.332741 | − | 0.294357i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.579658 | + | 28.4420i | 0.0221962 | + | 1.08910i | ||||
\(683\) | −6.46834 | + | 15.6160i | −0.247504 | + | 0.597528i | −0.997991 | − | 0.0633577i | \(-0.979819\pi\) |
0.750487 | + | 0.660885i | \(0.229819\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.66467 | − | 1.51796i | 0.140020 | − | 0.0579981i | ||||
\(686\) | 9.61815 | − | 24.6280i | 0.367223 | − | 0.940303i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 29.4316 | + | 9.46637i | 1.12207 | + | 0.360902i | ||||
\(689\) | − | 26.7263i | − | 1.01819i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 23.6307 | − | 9.78817i | 0.898955 | − | 0.372359i | 0.115137 | − | 0.993350i | \(-0.463269\pi\) |
0.783818 | + | 0.620990i | \(0.213269\pi\) | |||||||
\(692\) | 7.18256 | − | 19.5586i | 0.273040 | − | 0.743506i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 39.7592 | − | 0.810306i | 1.50924 | − | 0.0307588i | ||||
\(695\) | −5.95644 | + | 5.95644i | −0.225941 | + | 0.225941i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.22811 | + | 6.22811i | 0.235907 | + | 0.235907i | ||||
\(698\) | 15.2283 | + | 14.6199i | 0.576398 | + | 0.553373i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.2882 | − | 9.48205i | −0.388859 | − | 0.358388i | ||||
\(701\) | 9.69117 | + | 23.3965i | 0.366030 | + | 0.883675i | 0.994392 | + | 0.105754i | \(0.0337257\pi\) |
−0.628362 | + | 0.777921i | \(0.716274\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −28.3727 | −1.07010 | ||||||||
\(704\) | −26.6521 | + | 15.0823i | −1.00449 | + | 0.568434i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 24.4072 | − | 10.6975i | 0.918577 | − | 0.402606i | ||||
\(707\) | 2.45094 | + | 5.91709i | 0.0921771 | + | 0.222535i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.9720 | − | 4.95898i | −0.449619 | − | 0.186238i | 0.146372 | − | 0.989230i | \(-0.453240\pi\) |
−0.595991 | + | 0.802991i | \(0.703240\pi\) | |||||||
\(710\) | 1.95081 | + | 1.87288i | 0.0732126 | + | 0.0702881i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −18.2996 | + | 8.92637i | −0.685808 | + | 0.334530i | ||||
\(713\) | 28.4396 | − | 28.4396i | 1.06507 | − | 1.06507i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.26695 | + | 10.3013i | −0.159575 | + | 0.385248i | ||||
\(716\) | 9.53776 | − | 25.9719i | 0.356443 | − | 0.970617i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 35.1685 | + | 13.7346i | 1.31248 | + | 0.512570i | ||||
\(719\) | 18.7152i | 0.697960i | 0.937130 | + | 0.348980i | \(0.113472\pi\) | ||||
−0.937130 | + | 0.348980i | \(0.886528\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.78449i | 0.289910i | ||||||||
\(722\) | −3.21194 | + | 8.22442i | −0.119536 | + | 0.306081i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −18.0263 | − | 38.9497i | −0.669941 | − | 1.44756i | ||||
\(725\) | 10.3550 | − | 24.9993i | 0.384576 | − | 0.928449i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 37.4952 | − | 37.4952i | 1.39062 | − | 1.39062i | 0.566690 | − | 0.823931i | \(-0.308224\pi\) |
0.823931 | − | 0.566690i | \(-0.191776\pi\) | |||||||
\(728\) | 10.1695 | − | 11.4956i | 0.376908 | − | 0.426057i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.9189 | − | 12.4149i | 0.441139 | − | 0.459495i | ||||
\(731\) | −32.7202 | − | 13.5532i | −1.21020 | − | 0.501282i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.1057 | − | 26.8115i | −0.410198 | − | 0.990305i | −0.985084 | − | 0.172072i | \(-0.944954\pi\) |
0.574887 | − | 0.818233i | \(-0.305046\pi\) | |||||||
\(734\) | −14.5712 | − | 33.2453i | −0.537833 | − | 1.22711i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 41.4778 | + | 12.4142i | 1.52889 | + | 0.457592i | ||||
\(737\) | −55.2701 | −2.03590 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.383327 | + | 0.925433i | 0.0141009 | + | 0.0340426i | 0.930773 | − | 0.365597i | \(-0.119135\pi\) |
−0.916672 | + | 0.399640i | \(0.869135\pi\) | |||||||
\(740\) | −14.1897 | + | 0.578621i | −0.521624 | + | 0.0212705i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.3765 | − | 13.9331i | 0.491067 | − | 0.511500i | ||||
\(743\) | 34.4148 | + | 34.4148i | 1.26256 | + | 1.26256i | 0.949849 | + | 0.312708i | \(0.101236\pi\) |
0.312708 | + | 0.949849i | \(0.398764\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.66257 | + | 1.66257i | −0.0609118 | + | 0.0609118i | ||||
\(746\) | −0.234498 | − | 11.5061i | −0.00858559 | − | 0.421269i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 31.8364 | − | 14.7341i | 1.16405 | − | 0.538733i | ||||
\(749\) | 20.0605 | − | 8.30931i | 0.732993 | − | 0.303616i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.2742i | 0.739816i | 0.929068 | + | 0.369908i | \(0.120611\pi\) | ||||
−0.929068 | + | 0.369908i | \(0.879389\pi\) | |||||||
\(752\) | 32.5460 | − | 2.65871i | 1.18683 | − | 0.0969533i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 27.6496 | + | 10.7982i | 1.00694 | + | 0.393246i | ||||
\(755\) | 16.7924 | − | 6.95566i | 0.611139 | − | 0.253142i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.5068 | + | 44.6794i | −0.672641 | + | 1.62390i | 0.104465 | + | 0.994529i | \(0.466687\pi\) |
−0.777106 | + | 0.629370i | \(0.783313\pi\) | |||||||
\(758\) | −7.91303 | + | 0.161270i | −0.287414 | + | 0.00585760i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.93948 | − | 8.53814i | 0.106626 | − | 0.309711i | ||||
\(761\) | −13.1682 | − | 13.1682i | −0.477345 | − | 0.477345i | 0.426936 | − | 0.904282i | \(-0.359593\pi\) |
−0.904282 | + | 0.426936i | \(0.859593\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.93624 | − | 2.87308i | −0.251109 | − | 0.104013i | ||||
\(764\) | 14.0654 | − | 15.2613i | 0.508869 | − | 0.552134i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −43.8919 | + | 19.2376i | −1.58588 | + | 0.695081i | ||||
\(767\) | −0.783013 | −0.0282730 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −40.4343 | −1.45810 | −0.729049 | − | 0.684461i | \(-0.760037\pi\) | ||||
−0.729049 | + | 0.684461i | \(0.760037\pi\) | |||||||
\(770\) | −7.38029 | + | 3.23474i | −0.265967 | + | 0.116572i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.8747 | + | 12.8843i | −0.427379 | + | 0.463716i | ||||
\(773\) | −2.36151 | − | 0.978168i | −0.0849375 | − | 0.0351823i | 0.339810 | − | 0.940494i | \(-0.389637\pi\) |
−0.424748 | + | 0.905312i | \(0.639637\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 15.6101 | + | 15.6101i | 0.560732 | + | 0.560732i | ||||
\(776\) | 17.5072 | − | 50.8521i | 0.628470 | − | 1.82548i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.69184 | − | 0.0956211i | 0.168211 | − | 0.00342818i | ||||
\(779\) | −2.62731 | + | 6.34288i | −0.0941330 | + | 0.227257i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.56578 | + | 3.13385i | −0.270725 | + | 0.112138i | ||||
\(782\) | −46.1988 | − | 18.0423i | −1.65206 | − | 0.645191i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −16.8518 | + | 1.37664i | −0.601851 | + | 0.0491658i | ||||
\(785\) | 4.90594i | 0.175101i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.5997 | − | 11.4322i | 0.983825 | − | 0.407514i | 0.167984 | − | 0.985790i | \(-0.446274\pi\) |
0.815841 | + | 0.578276i | \(0.196274\pi\) | |||||||
\(788\) | 8.54682 | − | 3.95554i | 0.304468 | − | 0.140910i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.137674 | + | 6.75526i | 0.00489824 | + | 0.240341i | ||||
\(791\) | 18.5663 | − | 18.5663i | 0.660142 | − | 0.660142i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.0683 | + | 16.0683i | 0.570602 | + | 0.570602i | ||||
\(794\) | 23.2378 | − | 24.2047i | 0.824679 | − | 0.858993i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.83447 | − | 0.401026i | 0.348574 | − | 0.0142140i | ||||
\(797\) | 21.0345 | + | 50.7818i | 0.745080 | + | 1.79878i | 0.583842 | + | 0.811867i | \(0.301549\pi\) |
0.161238 | + | 0.986916i | \(0.448451\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −37.4069 | −1.32336 | ||||||||
\(800\) | −6.81398 | + | 22.7666i | −0.240911 | + | 0.804922i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.99242 | − | 9.10900i | −0.140977 | − | 0.321650i | ||||
\(803\) | 19.9437 | + | 48.1483i | 0.703796 | + | 1.69911i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.5253 | + | 4.35971i | 0.370967 | + | 0.153659i | ||||
\(806\) | −16.7716 | + | 17.4694i | −0.590754 | + | 0.615335i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.20783 | − | 8.14773i | 0.253571 | − | 0.286636i | ||||
\(809\) | −10.8210 | + | 10.8210i | −0.380446 | + | 0.380446i | −0.871263 | − | 0.490817i | \(-0.836698\pi\) |
0.490817 | + | 0.871263i | \(0.336698\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.28572 | − | 22.4177i | 0.326066 | − | 0.787192i | −0.672811 | − | 0.739814i | \(-0.734913\pi\) |
0.998877 | − | 0.0473779i | \(-0.0150865\pi\) | |||||||
\(812\) | 9.00994 | + | 19.4680i | 0.316187 | + | 0.683192i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.6441 | − | 40.0581i | 0.548327 | − | 1.40403i | ||||
\(815\) | 9.68520i | 0.339258i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 27.6058i | − | 0.965805i | ||||||
\(818\) | −10.3016 | − | 4.02315i | −0.360187 | − | 0.140666i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.18461 | + | 3.22577i | −0.0413683 | + | 0.112649i | ||||
\(821\) | −2.83930 | + | 6.85468i | −0.0990924 | + | 0.239230i | −0.965650 | − | 0.259847i | \(-0.916328\pi\) |
0.866557 | + | 0.499078i | \(0.166328\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 25.2545 | − | 25.2545i | 0.880317 | − | 0.880317i | −0.113250 | − | 0.993567i | \(-0.536126\pi\) |
0.993567 | + | 0.113250i | \(0.0361260\pi\) | |||||||
\(824\) | 11.8837 | − | 5.79673i | 0.413987 | − | 0.201939i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.408204 | − | 0.391898i | −0.0142032 | − | 0.0136359i | ||||
\(827\) | 30.9624 | + | 12.8251i | 1.07667 | + | 0.445971i | 0.849339 | − | 0.527847i | \(-0.177001\pi\) |
0.227330 | + | 0.973818i | \(0.427001\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.26963 | − | 22.3789i | −0.321948 | − | 0.777251i | −0.999141 | − | 0.0414451i | \(-0.986804\pi\) |
0.677193 | − | 0.735805i | \(-0.263196\pi\) | |||||||
\(830\) | 7.07089 | − | 3.09913i | 0.245434 | − | 0.107572i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −25.1218 | − | 6.96440i | −0.870941 | − | 0.241447i | ||||
\(833\) | 19.3687 | 0.671087 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.60355 | − | 6.28552i | −0.0900994 | − | 0.217519i | ||||
\(836\) | 20.1071 | + | 18.5315i | 0.695417 | + | 0.640925i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 19.6683 | + | 18.8826i | 0.679429 | + | 0.652288i | ||||
\(839\) | −23.7415 | − | 23.7415i | −0.819648 | − | 0.819648i | 0.166409 | − | 0.986057i | \(-0.446783\pi\) |
−0.986057 | + | 0.166409i | \(0.946783\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.83001 | + | 8.83001i | −0.304483 | + | 0.304483i | ||||
\(842\) | −8.77880 | + | 0.178915i | −0.302538 | + | 0.00616581i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.55312 | + | 9.67539i | −0.122304 | + | 0.333041i | ||||
\(845\) | 1.96641 | − | 0.814514i | 0.0676466 | − | 0.0280201i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 6.08356i | − | 0.209034i | ||||||
\(848\) | −31.2308 | − | 10.0451i | −1.07247 | − | 0.344948i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.90320 | − | 25.3579i | 0.339677 | − | 0.869770i | ||||
\(851\) | −56.1716 | + | 23.2670i | −1.92554 | + | 0.797584i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.82863 | + | 18.9000i | −0.268047 | + | 0.647123i | −0.999391 | − | 0.0348853i | \(-0.988893\pi\) |
0.731344 | + | 0.682009i | \(0.238893\pi\) | |||||||
\(854\) | 0.334624 | + | 16.4190i | 0.0114506 | + | 0.561846i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −27.6229 | − | 24.4364i | −0.944130 | − | 0.835218i | ||||
\(857\) | 19.1000 | + | 19.1000i | 0.652445 | + | 0.652445i | 0.953581 | − | 0.301136i | \(-0.0973659\pi\) |
−0.301136 | + | 0.953581i | \(0.597366\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23.7460 | + | 9.83590i | 0.810202 | + | 0.335597i | 0.749035 | − | 0.662531i | \(-0.230518\pi\) |
0.0611672 | + | 0.998128i | \(0.480518\pi\) | |||||||
\(860\) | −0.562981 | − | 13.8062i | −0.0191975 | − | 0.470786i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.61901 | − | 21.9465i | −0.327625 | − | 0.747500i | ||||
\(863\) | −7.14216 | −0.243122 | −0.121561 | − | 0.992584i | \(-0.538790\pi\) | ||||
−0.121561 | + | 0.992584i | \(0.538790\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.31217 | −0.316623 | ||||||||
\(866\) | 15.0207 | + | 34.2709i | 0.510426 | + | 1.16457i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −17.4869 | + | 0.713074i | −0.593544 | + | 0.0242033i | ||||
\(869\) | −18.9029 | − | 7.82983i | −0.641236 | − | 0.265609i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −33.2695 | − | 33.2695i | −1.12730 | − | 1.12730i | ||||
\(872\) | 0.779076 | + | 12.7282i | 0.0263828 | + | 0.431031i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.787725 | − | 38.6513i | −0.0266452 | − | 1.30740i | ||||
\(875\) | −5.24110 | + | 12.6531i | −0.177182 | + | 0.427754i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.2121 | − | 5.47264i | 0.446141 | − | 0.184798i | −0.148290 | − | 0.988944i | \(-0.547377\pi\) |
0.594432 | + | 0.804146i | \(0.297377\pi\) | |||||||
\(878\) | 7.04493 | − | 18.0391i | 0.237755 | − | 0.608791i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.4338 | + | 8.85787i | 0.351724 | + | 0.298599i | ||||
\(881\) | − | 8.29862i | − | 0.279588i | −0.990181 | − | 0.139794i | \(-0.955356\pi\) | ||
0.990181 | − | 0.139794i | \(-0.0446440\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 23.1211 | − | 9.57707i | 0.778087 | − | 0.322294i | 0.0419435 | − | 0.999120i | \(-0.486645\pi\) |
0.736143 | + | 0.676826i | \(0.236645\pi\) | |||||||
\(884\) | 28.0328 | + | 10.2946i | 0.942847 | + | 0.346245i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.9644 | + | 0.325360i | −0.536336 | + | 0.0109307i | ||||
\(887\) | −27.8541 | + | 27.8541i | −0.935249 | + | 0.935249i | −0.998027 | − | 0.0627784i | \(-0.980004\pi\) |
0.0627784 | + | 0.998027i | \(0.480004\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.62401 | + | 6.62401i | 0.222162 | + | 0.222162i | ||||
\(890\) | 6.56434 | + | 6.30212i | 0.220037 | + | 0.211247i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.0844 | − | 18.5369i | 0.572026 | − | 0.620661i | ||||
\(893\) | −11.1581 | − | 26.9380i | −0.373392 | − | 0.901447i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.3657 | −0.413339 | ||||||||
\(896\) | −9.61093 | − | 16.2042i | −0.321079 | − | 0.541343i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.6139 | − | 13.4179i | 1.02160 | − | 0.447761i | ||||
\(899\) | −12.9529 | − | 31.2711i | −0.432003 | − | 1.04295i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.7204 | + | 14.3817i | 1.15670 | + | 0.479123i | ||||
\(902\) | −7.50656 | − | 7.20670i | −0.249941 | − | 0.239957i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −42.1684 | − | 14.5176i | −1.40250 | − | 0.482848i | ||||
\(905\) | −13.5636 | + | 13.5636i | −0.450870 | + | 0.450870i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.14391 | + | 12.4185i | −0.170801 | + | 0.412349i | −0.985981 | − | 0.166858i | \(-0.946638\pi\) |
0.815180 | + | 0.579207i | \(0.196638\pi\) | |||||||
\(908\) | −9.04911 | − | 3.32313i | −0.300305 | − | 0.110282i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.38966 | − | 2.49539i | −0.211815 | − | 0.0827215i | ||||
\(911\) | 43.4302i | 1.43891i | 0.694541 | + | 0.719454i | \(0.255608\pi\) | ||||
−0.694541 | + | 0.719454i | \(0.744392\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 23.3782i | 0.773705i | ||||||||
\(914\) | 17.0839 | − | 43.7448i | 0.565086 | − | 1.44695i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −38.1044 | + | 17.6351i | −1.25901 | + | 0.582679i | ||||
\(917\) | 4.61371 | − | 11.1385i | 0.152358 | − | 0.367825i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.6438 | − | 13.6438i | 0.450068 | − | 0.450068i | −0.445309 | − | 0.895377i | \(-0.646906\pi\) |
0.895377 | + | 0.445309i | \(0.146906\pi\) | |||||||
\(920\) | −1.18219 | − | 19.3141i | −0.0389758 | − | 0.636768i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.4242 | + | 28.5653i | −0.903170 | + | 0.940749i | ||||
\(923\) | −6.44058 | − | 2.66778i | −0.211994 | − | 0.0878110i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.7710 | − | 30.8319i | −0.419907 | − | 1.01375i | ||||
\(926\) | −11.0829 | − | 25.2864i | −0.364205 | − | 0.830961i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 23.0102 | − | 28.2512i | 0.755346 | − | 0.927392i | ||||
\(929\) | −52.3939 | −1.71899 | −0.859494 | − | 0.511146i | \(-0.829221\pi\) | ||||
−0.859494 | + | 0.511146i | \(0.829221\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.77751 | + | 13.9481i | 0.189350 | + | 0.457132i | ||||
\(932\) | 1.54609 | + | 37.9151i | 0.0506437 | + | 1.24195i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.75569 | − | 5.99518i | 0.188332 | − | 0.196168i | ||||
\(935\) | −11.0865 | − | 11.0865i | −0.362567 | − | 0.362567i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −18.9484 | + | 18.9484i | −0.619017 | + | 0.619017i | −0.945279 | − | 0.326262i | \(-0.894211\pi\) |
0.326262 | + | 0.945279i | \(0.394211\pi\) | |||||||
\(938\) | −0.692842 | − | 33.9957i | −0.0226221 | − | 1.11000i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.12973 | − | 13.2446i | −0.199930 | − | 0.431992i | ||||
\(941\) | 3.46272 | − | 1.43430i | 0.112881 | − | 0.0467570i | −0.325528 | − | 0.945532i | \(-0.605542\pi\) |
0.438409 | + | 0.898775i | \(0.355542\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.7120i | 0.479088i | ||||||||
\(944\) | −0.294295 | + | 0.914984i | −0.00957848 | + | 0.0297802i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 38.9753 | + | 15.2213i | 1.26720 | + | 0.494886i | ||||
\(947\) | 52.3991 | − | 21.7044i | 1.70274 | − | 0.705298i | 0.702760 | − | 0.711427i | \(-0.251951\pi\) |
0.999981 | + | 0.00612896i | \(0.00195092\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.9776 | + | 40.9875i | −0.551116 | + | 1.33051i | ||||
\(950\) | 21.2152 | − | 0.432373i | 0.688312 | − | 0.0140280i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.46178 | + | 19.3973i | 0.306658 | + | 0.628669i | ||||
\(953\) | 10.0461 | + | 10.0461i | 0.325424 | + | 0.325424i | 0.850843 | − | 0.525419i | \(-0.176092\pi\) |
−0.525419 | + | 0.850843i | \(0.676092\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.56972 | − | 3.54970i | −0.277310 | − | 0.114865i | ||||
\(956\) | −6.73398 | − | 6.20631i | −0.217793 | − | 0.200726i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −18.4317 | + | 8.07848i | −0.595500 | + | 0.261004i | ||||
\(959\) | −7.38963 | −0.238624 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.38553 | −0.109211 | ||||||||
\(962\) | 33.5296 | − | 14.6958i | 1.08104 | − | 0.473813i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 21.4585 | + | 19.7771i | 0.691133 | + | 0.636976i | ||||
\(965\) | 7.23496 | + | 2.99682i | 0.232902 | + | 0.0964710i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 34.5937 | + | 34.5937i | 1.11246 | + | 1.11246i | 0.992817 | + | 0.119640i | \(0.0381741\pi\) |
0.119640 | + | 0.992817i | \(0.461826\pi\) | |||||||
\(968\) | −9.28705 | + | 4.53012i | −0.298497 | + | 0.145604i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −24.0317 | + | 0.489773i | −0.771610 | + | 0.0157257i | ||||
\(971\) | 11.4425 | − | 27.6245i | 0.367206 | − | 0.886513i | −0.627000 | − | 0.779019i | \(-0.715717\pi\) |
0.994206 | − | 0.107494i | \(-0.0342827\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.4984 | − | 6.00544i | 0.464798 | − | 0.192526i | ||||
\(974\) | 32.1785 | + | 12.5669i | 1.03107 | + | 0.402668i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 24.8157 | − | 12.7372i | 0.794333 | − | 0.407709i | ||||
\(977\) | − | 7.83370i | − | 0.250622i | −0.992117 | − | 0.125311i | \(-0.960007\pi\) | ||
0.992117 | − | 0.125311i | \(-0.0399929\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.4583 | + | 10.5452i | −0.813651 | + | 0.337025i | ||||
\(980\) | 3.17389 | + | 6.85788i | 0.101386 | + | 0.219067i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.162795 | − | 7.98785i | −0.00519500 | − | 0.254903i | ||||
\(983\) | 13.3719 | − | 13.3719i | 0.426497 | − | 0.426497i | −0.460937 | − | 0.887433i | \(-0.652486\pi\) |
0.887433 | + | 0.460937i | \(0.152486\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.97629 | − | 2.97629i | −0.0948326 | − | 0.0948326i | ||||
\(986\) | −28.9065 | + | 30.1093i | −0.920571 | + | 0.958875i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.948415 | + | 23.2583i | 0.0301731 | + | 0.739944i | ||||
\(989\) | −22.6381 | − | 54.6533i | −0.719851 | − | 1.73787i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 42.1375 | 1.33854 | 0.669270 | − | 0.743019i | \(-0.266607\pi\) | ||||
0.669270 | + | 0.743019i | \(0.266607\pi\) | |||||||
\(992\) | 14.1102 | + | 26.1642i | 0.447999 | + | 0.830714i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.02242 | − | 4.61429i | −0.0641471 | − | 0.146356i | ||||
\(995\) | −1.68342 | − | 4.06415i | −0.0533681 | − | 0.128842i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.17091 | + | 2.55607i | 0.195435 | + | 0.0809517i | 0.478254 | − | 0.878221i | \(-0.341270\pi\) |
−0.282820 | + | 0.959173i | \(0.591270\pi\) | |||||||
\(998\) | −15.1152 | + | 15.7441i | −0.478464 | + | 0.498372i | ||||
\(999\) | 0 | 0 |
(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 | 288.2.v.d.37.8 | 32 | ||
3.2 | odd | 2 | 96.2.n.a.37.1 | yes | 32 | ||
4.3 | odd | 2 | 1152.2.v.c.1009.4 | 32 | |||
12.11 | even | 2 | 384.2.n.a.241.3 | 32 | |||
24.5 | odd | 2 | 768.2.n.a.481.2 | 32 | |||
24.11 | even | 2 | 768.2.n.b.481.6 | 32 | |||
32.13 | even | 8 | inner | 288.2.v.d.109.8 | 32 | ||
32.19 | odd | 8 | 1152.2.v.c.145.4 | 32 | |||
96.29 | odd | 8 | 768.2.n.a.289.2 | 32 | |||
96.35 | even | 8 | 768.2.n.b.289.6 | 32 | |||
96.77 | odd | 8 | 96.2.n.a.13.1 | ✓ | 32 | ||
96.83 | even | 8 | 384.2.n.a.145.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.13.1 | ✓ | 32 | 96.77 | odd | 8 | ||
96.2.n.a.37.1 | yes | 32 | 3.2 | odd | 2 | ||
288.2.v.d.37.8 | 32 | 1.1 | even | 1 | trivial | ||
288.2.v.d.109.8 | 32 | 32.13 | even | 8 | inner | ||
384.2.n.a.145.3 | 32 | 96.83 | even | 8 | |||
384.2.n.a.241.3 | 32 | 12.11 | even | 2 | |||
768.2.n.a.289.2 | 32 | 96.29 | odd | 8 | |||
768.2.n.a.481.2 | 32 | 24.5 | odd | 2 | |||
768.2.n.b.289.6 | 32 | 96.35 | even | 8 | |||
768.2.n.b.481.6 | 32 | 24.11 | even | 2 | |||
1152.2.v.c.145.4 | 32 | 32.19 | odd | 8 | |||
1152.2.v.c.1009.4 | 32 | 4.3 | odd | 2 |