Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(25,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Character | \(\chi\) | \(=\) | 552.169 |
Dual form | 552.2.q.c.49.2 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.415415 | − | 0.909632i | −0.239840 | − | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.04288 | + | 1.20354i | 0.466389 | + | 0.538241i | 0.939404 | − | 0.342813i | \(-0.111380\pi\) |
−0.473015 | + | 0.881054i | \(0.656834\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.78166 | − | 1.14501i | −0.673405 | − | 0.432771i | 0.158746 | − | 0.987319i | \(-0.449255\pi\) |
−0.832152 | + | 0.554548i | \(0.812891\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.0868331 | + | 0.603937i | 0.0261812 | + | 0.182094i | 0.998716 | − | 0.0506645i | \(-0.0161339\pi\) |
−0.972535 | + | 0.232758i | \(0.925225\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.90388 | − | 3.79419i | 1.63744 | − | 1.05232i | 0.694429 | − | 0.719561i | \(-0.255657\pi\) |
0.943012 | − | 0.332759i | \(-0.107980\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.661555 | − | 1.44860i | 0.170813 | − | 0.374028i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.22865 | − | 0.948018i | 0.783063 | − | 0.229928i | 0.134323 | − | 0.990938i | \(-0.457114\pi\) |
0.648741 | + | 0.761010i | \(0.275296\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.314355 | + | 0.0923029i | 0.0721179 | + | 0.0211757i | 0.317592 | − | 0.948227i | \(-0.397126\pi\) |
−0.245475 | + | 0.969403i | \(0.578944\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.301404 | + | 2.09631i | −0.0657717 | + | 0.457452i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.94811 | − | 4.38234i | 0.406208 | − | 0.913781i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.350648 | − | 2.43881i | 0.0701296 | − | 0.487762i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.959493 | + | 0.281733i | 0.184655 | + | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.40447 | − | 0.412389i | 0.260803 | − | 0.0765788i | −0.148717 | − | 0.988880i | \(-0.547514\pi\) |
0.409520 | + | 0.912301i | \(0.365696\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.416852 | + | 0.912778i | −0.0748688 | + | 0.163940i | −0.943366 | − | 0.331755i | \(-0.892359\pi\) |
0.868497 | + | 0.495695i | \(0.165087\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.513289 | − | 0.329871i | 0.0893522 | − | 0.0574231i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.479991 | − | 3.33841i | −0.0811333 | − | 0.564294i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.42152 | + | 5.10271i | −0.726894 | + | 0.838880i | −0.992118 | − | 0.125307i | \(-0.960008\pi\) |
0.265225 | + | 0.964187i | \(0.414554\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.90388 | − | 3.79419i | −0.945377 | − | 0.607557i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.44416 | + | 3.97478i | 0.537888 | + | 0.620756i | 0.958018 | − | 0.286708i | \(-0.0925610\pi\) |
−0.420130 | + | 0.907464i | \(0.638016\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.57129 | − | 5.63035i | −0.392119 | − | 0.858620i | −0.998009 | − | 0.0630719i | \(-0.979910\pi\) |
0.605890 | − | 0.795548i | \(-0.292817\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.59252 | −0.237398 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.88224 | 1.14974 | 0.574871 | − | 0.818244i | \(-0.305052\pi\) | ||||
0.574871 | + | 0.818244i | \(0.305052\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.04462 | − | 2.28739i | −0.149231 | − | 0.326771i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.20358 | − | 2.54306i | −0.308563 | − | 0.356100i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.377926 | + | 0.242878i | 0.0519121 | + | 0.0333619i | 0.566339 | − | 0.824172i | \(-0.308359\pi\) |
−0.514427 | + | 0.857534i | \(0.671995\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.636309 | + | 0.734340i | −0.0857999 | + | 0.0990184i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0466260 | − | 0.324291i | −0.00617577 | − | 0.0429534i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 8.15894 | − | 5.24344i | 1.06220 | − | 0.682637i | 0.111824 | − | 0.993728i | \(-0.464331\pi\) |
0.950380 | + | 0.311091i | \(0.100694\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.274569 | − | 0.601223i | 0.0351550 | − | 0.0769787i | −0.891240 | − | 0.453532i | \(-0.850164\pi\) |
0.926395 | + | 0.376554i | \(0.122891\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.03208 | − | 0.596672i | 0.256018 | − | 0.0751736i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.7235 | + | 3.14870i | 1.33009 | + | 0.390549i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.991012 | − | 6.89264i | 0.121071 | − | 0.842070i | −0.835275 | − | 0.549833i | \(-0.814691\pi\) |
0.956346 | − | 0.292237i | \(-0.0943995\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.79559 | + | 0.0484290i | −0.577321 | + | 0.00583016i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.70692 | + | 11.8719i | −0.202574 | + | 1.40894i | 0.594034 | + | 0.804440i | \(0.297535\pi\) |
−0.796608 | + | 0.604496i | \(0.793375\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.91307 | − | 2.61711i | −1.04320 | − | 0.306310i | −0.285131 | − | 0.958489i | \(-0.592037\pi\) |
−0.758065 | + | 0.652179i | \(0.773855\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.36408 | + | 0.694158i | −0.272981 | + | 0.0801544i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.536804 | − | 1.17544i | 0.0611745 | − | 0.133954i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.6328 | + | 8.11860i | −1.42130 | + | 0.913414i | −0.421321 | + | 0.906912i | \(0.638433\pi\) |
−0.999979 | + | 0.00650218i | \(0.997930\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.572429 | − | 0.660618i | 0.0628322 | − | 0.0725122i | −0.723463 | − | 0.690363i | \(-0.757451\pi\) |
0.786296 | + | 0.617851i | \(0.211996\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.50807 | + | 2.89716i | 0.488969 | + | 0.314241i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.958560 | − | 1.10624i | −0.102768 | − | 0.118601i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.91740 | + | 4.19851i | 0.203244 | + | 0.445042i | 0.983617 | − | 0.180273i | \(-0.0576980\pi\) |
−0.780373 | + | 0.625314i | \(0.784971\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −14.8631 | −1.55808 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.00346 | 0.104054 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.216743 | + | 0.474600i | 0.0222373 | + | 0.0486930i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.31611 | + | 4.98106i | 0.438235 | + | 0.505750i | 0.931305 | − | 0.364239i | \(-0.118671\pi\) |
−0.493071 | + | 0.869989i | \(0.664126\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.513289 | − | 0.329871i | −0.0515875 | − | 0.0331533i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.6828 | + | 12.3287i | −1.06298 | + | 1.22675i | −0.0899830 | + | 0.995943i | \(0.528681\pi\) |
−0.973000 | + | 0.230805i | \(0.925864\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.95729 | + | 13.6132i | 0.192857 | + | 1.34135i | 0.824399 | + | 0.566010i | \(0.191514\pi\) |
−0.631541 | + | 0.775342i | \(0.717577\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.83733 | + | 1.82344i | −0.276895 | + | 0.177950i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.386999 | − | 0.847410i | 0.0374126 | − | 0.0819223i | −0.890003 | − | 0.455955i | \(-0.849298\pi\) |
0.927416 | + | 0.374032i | \(0.122025\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.28227 | + | 1.84464i | −0.601733 | + | 0.176685i | −0.568390 | − | 0.822759i | \(-0.692433\pi\) |
−0.0333427 | + | 0.999444i | \(0.510615\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.47835 | + | 1.90222i | 0.614898 | + | 0.180550i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.44946 | + | 17.0364i | −0.230426 | + | 1.60265i | 0.465843 | + | 0.884868i | \(0.345751\pi\) |
−0.696269 | + | 0.717781i | \(0.745158\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.30597 | − | 2.22561i | 0.681285 | − | 0.207539i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.998759 | + | 6.94652i | −0.0923353 | + | 0.642206i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.83786 | − | 2.00778i | −0.626825 | − | 0.184053i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.1972 | − | 2.99417i | 0.927020 | − | 0.272198i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.18483 | − | 4.78410i | 0.196999 | − | 0.431368i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.99945 | − | 6.42626i | 0.894378 | − | 0.574782i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.13035 | + | 14.8169i | 0.189038 | + | 1.31479i | 0.834506 | + | 0.550999i | \(0.185753\pi\) |
−0.645468 | + | 0.763787i | \(0.723338\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.05339 | + | 4.67786i | −0.356881 | + | 0.411863i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.87374 | − | 5.06015i | −0.687932 | − | 0.442107i | 0.149418 | − | 0.988774i | \(-0.452260\pi\) |
−0.837350 | + | 0.546667i | \(0.815896\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.454387 | − | 0.524390i | −0.0394003 | − | 0.0454704i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.661555 | + | 1.44860i | 0.0569376 | + | 0.124676i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.60086 | −0.734821 | −0.367411 | − | 0.930059i | \(-0.619756\pi\) | ||||
−0.367411 | + | 0.930059i | \(0.619756\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.4890 | −1.22894 | −0.614472 | − | 0.788939i | \(-0.710631\pi\) | ||||
−0.614472 | + | 0.788939i | \(0.710631\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.27440 | − | 7.16993i | −0.275754 | − | 0.603817i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.80411 | + | 3.23611i | 0.234491 | + | 0.270617i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.96102 | + | 1.26027i | 0.162854 | + | 0.104660i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.64674 | + | 1.90044i | −0.135821 | + | 0.156745i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.64844 | − | 18.4203i | −0.216969 | − | 1.50905i | −0.749139 | − | 0.662412i | \(-0.769533\pi\) |
0.532171 | − | 0.846637i | \(-0.321376\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.79373 | − | 5.00873i | 0.634245 | − | 0.407605i | −0.183634 | − | 0.982995i | \(-0.558786\pi\) |
0.817879 | + | 0.575390i | \(0.195150\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.39785 | + | 3.06087i | −0.113010 | + | 0.247457i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.53329 | + | 0.450216i | −0.123157 | + | 0.0361622i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −17.5112 | − | 5.14175i | −1.39755 | − | 0.410357i | −0.505705 | − | 0.862706i | \(-0.668768\pi\) |
−0.891841 | + | 0.452350i | \(0.850586\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.0639337 | − | 0.444668i | 0.00507027 | − | 0.0352645i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −8.48867 | + | 5.57726i | −0.669001 | + | 0.439550i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.27018 | + | 8.83431i | −0.0994883 | + | 0.691956i | 0.877642 | + | 0.479316i | \(0.159115\pi\) |
−0.977131 | + | 0.212640i | \(0.931794\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.932311 | + | 0.273751i | 0.0725803 | + | 0.0213115i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.88205 | − | 2.31438i | 0.609932 | − | 0.179092i | 0.0378427 | − | 0.999284i | \(-0.487951\pi\) |
0.572089 | + | 0.820192i | \(0.306133\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 15.0595 | − | 32.9757i | 1.15842 | − | 2.53659i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.275616 | + | 0.177128i | −0.0210769 | + | 0.0135453i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.24361 | + | 15.6046i | 0.170578 | + | 1.18640i | 0.877666 | + | 0.479273i | \(0.159099\pi\) |
−0.707088 | + | 0.707126i | \(0.749991\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.41719 | + | 3.94365i | −0.258315 | + | 0.298112i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −8.15894 | − | 5.24344i | −0.613264 | − | 0.394121i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.31516 | − | 2.67184i | −0.173043 | − | 0.199702i | 0.662603 | − | 0.748971i | \(-0.269452\pi\) |
−0.835646 | + | 0.549269i | \(0.814906\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.36170 | − | 7.36109i | −0.249873 | − | 0.547145i | 0.742582 | − | 0.669755i | \(-0.233601\pi\) |
−0.992455 | + | 0.122610i | \(0.960874\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.660952 | −0.0488590 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −10.7524 | −0.790535 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.852897 | + | 1.86758i | 0.0623700 | + | 0.136571i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.38691 | − | 1.60058i | −0.100883 | − | 0.116425i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.0403 | + | 10.3085i | 1.16064 | + | 0.745895i | 0.971729 | − | 0.236100i | \(-0.0758693\pi\) |
0.188907 | + | 0.981995i | \(0.439506\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.2150 | − | 12.9428i | 0.807275 | − | 0.931645i | −0.191482 | − | 0.981496i | \(-0.561329\pi\) |
0.998757 | + | 0.0498516i | \(0.0158748\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.59054 | − | 11.0625i | −0.113901 | − | 0.792199i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.22528 | − | 0.787436i | 0.0872972 | − | 0.0561025i | −0.496264 | − | 0.868172i | \(-0.665295\pi\) |
0.583561 | + | 0.812069i | \(0.301659\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.582156 | + | 1.27474i | −0.0412679 | + | 0.0903642i | −0.929143 | − | 0.369720i | \(-0.879454\pi\) |
0.887875 | + | 0.460084i | \(0.152181\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.68144 | + | 1.96185i | −0.471273 | + | 0.138378i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.97448 | − | 0.873386i | −0.208768 | − | 0.0612997i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.19198 | + | 8.29040i | −0.0832515 | + | 0.579027i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.03621 | + | 4.34210i | 0.141526 | + | 0.301797i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0284488 | + | 0.197865i | −0.00196784 | + | 0.0136866i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.49415 | − | 2.49411i | −0.584761 | − | 0.171701i | −0.0240471 | − | 0.999711i | \(-0.507655\pi\) |
−0.560714 | + | 0.828009i | \(0.689473\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 11.5081 | − | 3.37910i | 0.788525 | − | 0.231532i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.09483 | − | 8.96643i | 0.279265 | − | 0.611505i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.78783 | − | 1.14897i | 0.121365 | − | 0.0779969i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.32201 | + | 9.19480i | 0.0893334 | + | 0.621327i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.4646 | − | 17.8471i | 1.04026 | − | 1.20053i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.6777 | + | 12.6461i | 1.31772 | + | 0.846845i | 0.995022 | − | 0.0996581i | \(-0.0317749\pi\) |
0.322695 | + | 0.946503i | \(0.395411\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.61350 | + | 1.86208i | 0.107567 | + | 0.124139i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.760198 | + | 1.66460i | 0.0504561 | + | 0.110483i | 0.933181 | − | 0.359407i | \(-0.117021\pi\) |
−0.882725 | + | 0.469890i | \(0.844294\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.4465 | −1.15290 | −0.576450 | − | 0.817132i | \(-0.695562\pi\) | ||||
−0.576450 | + | 0.817132i | \(0.695562\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.29221 | −0.0850213 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.41471 | + | 5.28747i | 0.158193 | + | 0.346394i | 0.972088 | − | 0.234618i | \(-0.0753841\pi\) |
−0.813895 | + | 0.581012i | \(0.802657\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.22020 | + | 9.48662i | 0.536227 | + | 0.618839i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.6328 | + | 8.11860i | 0.820588 | + | 0.527360i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.343600 | + | 0.396536i | −0.0222256 | + | 0.0256498i | −0.766754 | − | 0.641942i | \(-0.778129\pi\) |
0.744528 | + | 0.667591i | \(0.232675\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.221336 | + | 1.53943i | 0.0142575 | + | 0.0991633i | 0.995708 | − | 0.0925546i | \(-0.0295033\pi\) |
−0.981450 | + | 0.191718i | \(0.938594\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.841254 | + | 0.540641i | −0.0539664 | + | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.66357 | − | 3.64272i | 0.106282 | − | 0.232725i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.20613 | − | 0.647777i | 0.140372 | − | 0.0412171i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.838715 | − | 0.246269i | −0.0531514 | − | 0.0156067i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.201785 | − | 1.40345i | 0.0127366 | − | 0.0885848i | −0.982462 | − | 0.186465i | \(-0.940297\pi\) |
0.995198 | + | 0.0978799i | \(0.0312061\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.81582 | + | 0.796002i | 0.177029 | + | 0.0500442i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.762630 | − | 5.30421i | 0.0477577 | − | 0.332162i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −13.3025 | − | 3.90597i | −0.829788 | − | 0.243648i | −0.160862 | − | 0.986977i | \(-0.551427\pi\) |
−0.668926 | + | 0.743329i | \(0.733246\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.7203 | − | 4.02864i | 0.852537 | − | 0.250328i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.608069 | + | 1.33148i | −0.0376385 | + | 0.0824168i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −11.7942 | + | 7.57970i | −0.727264 | + | 0.467384i | −0.851157 | − | 0.524911i | \(-0.824098\pi\) |
0.123893 | + | 0.992296i | \(0.460462\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.101815 | + | 0.708142i | 0.00625447 | + | 0.0435008i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.02259 | − | 3.48825i | 0.184979 | − | 0.213477i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −5.54642 | − | 3.56447i | −0.338171 | − | 0.217329i | 0.360522 | − | 0.932751i | \(-0.382598\pi\) |
−0.698693 | + | 0.715421i | \(0.746235\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.767457 | + | 0.885692i | 0.0466197 | + | 0.0538020i | 0.778580 | − | 0.627545i | \(-0.215940\pi\) |
−0.731961 | + | 0.681347i | \(0.761395\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.17435 | + | 13.5199i | 0.373689 | + | 0.818265i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.50334 | 0.0906546 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.3575 | 0.802573 | 0.401286 | − | 0.915953i | \(-0.368563\pi\) | ||||
0.401286 | + | 0.915953i | \(0.368563\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.416852 | − | 0.912778i | −0.0249563 | − | 0.0546466i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −16.9550 | − | 19.5671i | −1.01145 | − | 1.16728i | −0.985854 | − | 0.167604i | \(-0.946397\pi\) |
−0.0255961 | − | 0.999672i | \(-0.508148\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.0611930 | − | 0.0393263i | −0.00363754 | − | 0.00233771i | 0.538821 | − | 0.842420i | \(-0.318870\pi\) |
−0.542458 | + | 0.840083i | \(0.682506\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.341673 | − | 0.394312i | 0.0202390 | − | 0.0233570i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.58520 | − | 11.0253i | −0.0935713 | − | 0.650803i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.77585 | + | 3.06925i | −0.280932 | + | 0.180544i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.73795 | − | 5.99528i | 0.160502 | − | 0.351450i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 15.1079 | − | 4.43607i | 0.882611 | − | 0.259158i | 0.191141 | − | 0.981563i | \(-0.438781\pi\) |
0.691471 | + | 0.722405i | \(0.256963\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.8195 | + | 4.35139i | 0.862824 | + | 0.253348i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.0868331 | + | 0.603937i | −0.00503857 | + | 0.0350440i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.12605 | − | 33.2643i | −0.296447 | − | 1.92372i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.86560 | + | 12.9755i | −0.107531 | + | 0.747897i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 15.6524 | + | 4.59595i | 0.899205 | + | 0.264030i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.00994 | − | 0.296545i | 0.0578290 | − | 0.0169801i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.44847 | − | 7.55110i | 0.196815 | − | 0.430964i | −0.785334 | − | 0.619073i | \(-0.787509\pi\) |
0.982148 | + | 0.188109i | \(0.0602358\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.5699 | − | 7.43555i | 0.658191 | − | 0.422994i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.14795 | + | 28.8497i | 0.235209 | + | 1.63591i | 0.675003 | + | 0.737815i | \(0.264142\pi\) |
−0.439794 | + | 0.898099i | \(0.644948\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.3191 | − | 24.6036i | 1.20503 | − | 1.39068i | 0.306434 | − | 0.951892i | \(-0.400864\pi\) |
0.898593 | − | 0.438784i | \(-0.144591\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.83733 | + | 1.82344i | 0.159865 | + | 0.102739i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −10.7911 | − | 12.4536i | −0.606087 | − | 0.699461i | 0.366916 | − | 0.930254i | \(-0.380414\pi\) |
−0.973003 | + | 0.230793i | \(0.925868\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.371012 | + | 0.812402i | 0.0207727 | + | 0.0454858i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.931597 | −0.0519967 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.10245 | 0.0613418 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.18313 | − | 15.7289i | −0.398449 | − | 0.872481i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.28770 | + | 4.94826i | 0.237110 | + | 0.273640i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −14.0435 | − | 9.02520i | −0.774243 | − | 0.497576i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.3489 | − | 16.5596i | 0.788689 | − | 0.910195i | −0.209016 | − | 0.977912i | \(-0.567026\pi\) |
0.997705 | + | 0.0677169i | \(0.0215715\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.960888 | − | 6.68312i | −0.0526564 | − | 0.366233i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 9.32910 | − | 5.99545i | 0.509703 | − | 0.327566i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.39072 | + | 3.04525i | −0.0757573 | + | 0.165885i | −0.943721 | − | 0.330742i | \(-0.892701\pi\) |
0.867964 | + | 0.496627i | \(0.165428\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 16.5144 | − | 4.84906i | 0.896939 | − | 0.263365i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.587457 | − | 0.172493i | −0.0318126 | − | 0.00934102i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.86775 | + | 19.9456i | −0.154844 | + | 1.07696i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −5.05949 | − | 5.72119i | −0.272394 | − | 0.308019i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.12055 | − | 7.79358i | 0.0601541 | − | 0.418381i | −0.937387 | − | 0.348291i | \(-0.886762\pi\) |
0.997541 | − | 0.0700903i | \(-0.0223288\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.1901 | + | 3.57934i | 0.652522 | + | 0.191598i | 0.591206 | − | 0.806521i | \(-0.298652\pi\) |
0.0613161 | + | 0.998118i | \(0.480470\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.73368 | − | 1.97719i | 0.359417 | − | 0.105534i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.967555 | − | 2.11865i | 0.0514978 | − | 0.112764i | −0.882134 | − | 0.470998i | \(-0.843894\pi\) |
0.933632 | + | 0.358234i | \(0.116621\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −16.0685 | + | 10.3266i | −0.852826 | + | 0.548078i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.01421 | + | 7.05399i | 0.0536778 | + | 0.373337i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −13.1122 | + | 15.1323i | −0.692036 | + | 0.798652i | −0.987653 | − | 0.156655i | \(-0.949929\pi\) |
0.295618 | + | 0.955306i | \(0.404475\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.8935 | − | 10.2141i | −0.836501 | − | 0.537587i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.95968 | − | 8.03189i | −0.365288 | − | 0.421565i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.14542 | − | 13.4566i | −0.321666 | − | 0.704351i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.9852 | −0.886620 | −0.443310 | − | 0.896368i | \(-0.646196\pi\) | ||||
−0.443310 | + | 0.896368i | \(0.646196\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.25938 | −0.273793 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.395240 | − | 0.865454i | −0.0205198 | − | 0.0449321i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.4461 | + | 18.9798i | 0.851548 | + | 0.982739i | 0.999981 | − | 0.00618337i | \(-0.00196824\pi\) |
−0.148433 | + | 0.988923i | \(0.547423\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.99945 | − | 6.42626i | −0.516369 | − | 0.331851i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.72713 | − | 7.76352i | 0.346465 | − | 0.399842i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.835333 | − | 5.80987i | −0.0429082 | − | 0.298433i | −0.999964 | − | 0.00852802i | \(-0.997285\pi\) |
0.957055 | − | 0.289905i | \(-0.0936237\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.5929 | − | 8.09299i | 0.645155 | − | 0.414616i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.82257 | + | 10.5600i | −0.246422 | + | 0.539589i | −0.991912 | − | 0.126928i | \(-0.959488\pi\) |
0.745490 | + | 0.666517i | \(0.232216\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.97451 | − | 0.579769i | 0.100630 | − | 0.0295478i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.93897 | + | 1.74384i | 0.301895 | + | 0.0886444i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −4.89639 | + | 34.0551i | −0.248257 | + | 1.72666i | 0.360025 | + | 0.932943i | \(0.382768\pi\) |
−0.608282 | + | 0.793721i | \(0.708141\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.13522 | − | 15.9959i | 0.107983 | − | 0.808947i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.33200 | + | 9.26427i | −0.0671905 | + | 0.467320i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −22.9455 | − | 6.73742i | −1.15452 | − | 0.338996i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.5841 | + | 3.69504i | −0.631580 | + | 0.185449i | −0.581826 | − | 0.813313i | \(-0.697662\pi\) |
−0.0497532 | + | 0.998762i | \(0.515843\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.288243 | + | 0.631165i | −0.0144302 | + | 0.0315978i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −21.3758 | + | 13.7374i | −1.06746 | + | 0.686013i | −0.951627 | − | 0.307257i | \(-0.900589\pi\) |
−0.115830 | + | 0.993269i | \(0.536953\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.00221 | + | 6.97055i | 0.0499238 | + | 0.347228i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.04288 | − | 1.20354i | 0.0518210 | − | 0.0598046i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.46565 | − | 2.22724i | −0.171786 | − | 0.110400i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.75834 | − | 8.95360i | −0.383625 | − | 0.442727i | 0.530791 | − | 0.847503i | \(-0.321895\pi\) |
−0.914416 | + | 0.404776i | \(0.867350\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.57293 | + | 7.82362i | 0.176240 | + | 0.385911i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −20.5403 | −1.01072 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.39206 | 0.0683333 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 6.01896 | + | 13.1797i | 0.294750 | + | 0.645412i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 21.7713 | + | 25.1255i | 1.06360 | + | 1.22746i | 0.972814 | + | 0.231589i | \(0.0743923\pi\) |
0.0907855 | + | 0.995870i | \(0.471062\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.3585 | + | 10.5130i | 0.797267 | + | 0.512372i | 0.874723 | − | 0.484623i | \(-0.161043\pi\) |
−0.0774560 | + | 0.996996i | \(0.524680\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.16177 | + | 5.95700i | −0.250974 | + | 0.289639i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.17992 | − | 8.20649i | −0.0572343 | − | 0.398073i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.17759 | + | 0.756793i | −0.0569877 | + | 0.0366238i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.77880 | − | 3.89503i | 0.0858814 | − | 0.188054i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 20.6752 | − | 6.07078i | 0.995889 | − | 0.292419i | 0.257121 | − | 0.966379i | \(-0.417226\pi\) |
0.738768 | + | 0.673960i | \(0.235408\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 27.1054 | + | 7.95887i | 1.30260 | + | 0.382479i | 0.858185 | − | 0.513341i | \(-0.171592\pi\) |
0.444418 | + | 0.895820i | \(0.353411\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.331745 | − | 2.30734i | 0.0159060 | − | 0.110628i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.01690 | − | 1.19779i | 0.0486449 | − | 0.0572982i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.15614 | − | 35.8618i | 0.246089 | − | 1.71159i | −0.374311 | − | 0.927303i | \(-0.622121\pi\) |
0.620400 | − | 0.784285i | \(-0.286970\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.41278 | + | 0.708455i | 0.114894 | + | 0.0337360i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.7016 | − | 4.61042i | 0.746008 | − | 0.219048i | 0.113432 | − | 0.993546i | \(-0.463816\pi\) |
0.632576 | + | 0.774498i | \(0.281998\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.05349 | + | 6.68620i | −0.144749 | + | 0.316956i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −15.6555 | + | 10.0612i | −0.740479 | + | 0.475877i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.28480 | + | 15.8911i | 0.107826 | + | 0.749947i | 0.969960 | + | 0.243266i | \(0.0782188\pi\) |
−0.862133 | + | 0.506681i | \(0.830872\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.10145 | + | 2.42520i | −0.0989534 | + | 0.114198i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −7.79373 | − | 5.00873i | −0.366182 | − | 0.235331i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −15.5004 | − | 17.8884i | −0.726669 | − | 0.838621i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.43285 | + | 18.4654i | 0.394472 | + | 0.863773i | 0.997801 | + | 0.0662807i | \(0.0211133\pi\) |
−0.603329 | + | 0.797492i | \(0.706159\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.36496 | 0.157063 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.27022 | −0.198884 | −0.0994420 | − | 0.995043i | \(-0.531706\pi\) | ||||
−0.0994420 | + | 0.995043i | \(0.531706\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.4784 | − | 22.9444i | −0.486971 | − | 1.06632i | −0.980488 | − | 0.196581i | \(-0.937016\pi\) |
0.493517 | − | 0.869736i | \(-0.335711\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.04648 | + | 1.20771i | 0.0485295 | + | 0.0560060i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −35.0699 | − | 22.5381i | −1.62284 | − | 1.04294i | −0.954120 | − | 0.299425i | \(-0.903205\pi\) |
−0.668723 | − | 0.743512i | \(-0.733159\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.65776 | + | 11.1456i | −0.445954 | + | 0.514658i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.59731 | + | 18.0647i | 0.119678 | + | 0.832378i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.17711 | − | 2.04180i | 0.146083 | − | 0.0938821i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.335337 | − | 0.734286i | 0.0153863 | − | 0.0336913i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.431044 | + | 0.126566i | −0.0197361 | + | 0.00579505i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −41.6984 | − | 12.2438i | −1.90525 | − | 0.559432i | −0.986274 | − | 0.165118i | \(-0.947199\pi\) |
−0.918976 | − | 0.394314i | \(-0.870982\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.74347 | + | 46.9019i | −0.307476 | + | 2.13854i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.59957 | + | 5.40469i | 0.391294 | + | 0.245922i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.49375 | + | 10.3893i | −0.0678277 | + | 0.471752i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.74678 | + | 1.68741i | 0.260411 | + | 0.0764637i | 0.409332 | − | 0.912385i | \(-0.365762\pi\) |
−0.148921 | + | 0.988849i | \(0.547580\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.56362 | − | 2.51451i | 0.387260 | − | 0.113710i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12.1109 | + | 26.5192i | −0.546558 | + | 1.19680i | 0.411813 | + | 0.911268i | \(0.364896\pi\) |
−0.958371 | + | 0.285527i | \(0.907831\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.14359 | − | 2.66292i | 0.186618 | − | 0.119932i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.138283 | − | 0.961781i | −0.00621537 | − | 0.0432288i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 16.6346 | − | 19.1973i | 0.746162 | − | 0.861117i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 22.4469 | + | 14.4257i | 1.00486 | + | 0.645785i | 0.936058 | − | 0.351846i | \(-0.114446\pi\) |
0.0688024 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.37956 | − | 6.20834i | −0.240341 | − | 0.277368i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.53539 | − | 3.36204i | −0.0684598 | − | 0.149906i | 0.872309 | − | 0.488955i | \(-0.162622\pi\) |
−0.940769 | + | 0.339049i | \(0.889895\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −25.9790 | −1.15605 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −36.2517 | −1.60999 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −12.2594 | − | 26.8444i | −0.543390 | − | 1.18986i | −0.959801 | − | 0.280681i | \(-0.909440\pi\) |
0.416411 | − | 0.909176i | \(-0.363288\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.8835 | + | 14.8683i | 0.569932 | + | 0.657736i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.275616 | + | 0.177128i | 0.0121688 | + | 0.00782039i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −14.3429 | + | 16.5526i | −0.632025 | + | 0.729395i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.684439 | + | 4.76038i | 0.0301016 | + | 0.209361i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.2624 | − | 8.52326i | 0.582157 | − | 0.374129i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.72902 | + | 21.3036i | −0.426236 | + | 0.933327i | 0.567686 | + | 0.823245i | \(0.307839\pi\) |
−0.993922 | + | 0.110082i | \(0.964889\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.9454 | + | 4.38836i | −0.653516 | + | 0.191889i | −0.591650 | − | 0.806195i | \(-0.701523\pi\) |
−0.0618656 | + | 0.998084i | \(0.519705\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.00682 | + | 1.47013i | 0.218515 | + | 0.0641619i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.480539 | + | 3.34223i | −0.0209326 | + | 0.145590i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.4098 | − | 17.0745i | −0.669990 | − | 0.742370i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.38025 | + | 9.59984i | −0.0598977 | + | 0.416598i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 35.4150 | + | 10.3988i | 1.53399 | + | 0.450421i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.42349 | − | 0.417974i | 0.0615428 | − | 0.0180706i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.46864 | + | 3.21586i | −0.0633763 | + | 0.138775i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.29074 | − | 0.829506i | 0.0555959 | − | 0.0357293i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.724714 | + | 5.04050i | 0.0311579 | + | 0.216708i | 0.999452 | − | 0.0331056i | \(-0.0105398\pi\) |
−0.968294 | + | 0.249814i | \(0.919631\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.29938 | + | 6.11581i | −0.227418 | + | 0.262455i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8.77174 | − | 5.63726i | −0.375740 | − | 0.241474i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.14245 | − | 9.39688i | −0.348146 | − | 0.401782i | 0.554487 | − | 0.832192i | \(-0.312914\pi\) |
−0.902633 | + | 0.430410i | \(0.858369\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.274569 | + | 0.601223i | 0.0117183 | + | 0.0256596i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.479566 | 0.0204302 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 31.8032 | 1.35241 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.46672 | + | 9.78076i | 0.189602 | + | 0.415170i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 14.8153 | + | 17.0978i | 0.627746 | + | 0.724458i | 0.977159 | − | 0.212511i | \(-0.0681642\pi\) |
−0.349412 | + | 0.936969i | \(0.613619\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −36.5432 | − | 23.4849i | −1.54561 | − | 0.993306i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.34451 | − | 1.55165i | 0.0567652 | − | 0.0655105i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.39440 | + | 30.5637i | 0.185202 | + | 1.28811i | 0.844227 | + | 0.535986i | \(0.180060\pi\) |
−0.659025 | + | 0.752121i | \(0.729031\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −23.0585 | + | 14.8188i | −0.970080 | + | 0.623433i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.879794 | + | 1.92648i | −0.0369479 | + | 0.0809046i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 19.3143 | − | 5.67119i | 0.809698 | − | 0.237749i | 0.149424 | − | 0.988773i | \(-0.452258\pi\) |
0.660274 | + | 0.751024i | \(0.270440\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 36.5101 | + | 10.7203i | 1.52790 | + | 0.448631i | 0.934406 | − | 0.356209i | \(-0.115931\pi\) |
0.593492 | + | 0.804840i | \(0.297749\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.71354 | − | 18.8731i | 0.113360 | − | 0.788434i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −10.0046 | − | 6.28772i | −0.417220 | − | 0.262216i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.91524 | + | 27.2311i | −0.162993 | + | 1.13364i | 0.729958 | + | 0.683492i | \(0.239539\pi\) |
−0.892952 | + | 0.450152i | \(0.851370\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −16.4321 | − | 4.82490i | −0.682894 | − | 0.200516i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.77629 | + | 0.521565i | −0.0736928 | + | 0.0216382i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.113867 | + | 0.249333i | −0.00471588 | + | 0.0103263i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.40203 | + | 6.04232i | −0.388726 | + | 0.249819i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.265332 | + | 1.84543i | 0.0109514 | + | 0.0761688i | 0.994564 | − | 0.104125i | \(-0.0332042\pi\) |
−0.983613 | + | 0.180294i | \(0.942295\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.215291 | + | 0.248459i | −0.00887092 | + | 0.0102376i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.22528 | − | 0.787436i | −0.0504011 | − | 0.0323908i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.73276 | − | 1.99971i | −0.0711559 | − | 0.0821183i | 0.719055 | − | 0.694953i | \(-0.244575\pi\) |
−0.790211 | + | 0.612834i | \(0.790029\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.71460 | − | 10.3235i | −0.193280 | − | 0.423223i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.40138 | 0.0573548 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −41.9363 | −1.71347 | −0.856735 | − | 0.515757i | \(-0.827511\pi\) | ||||
−0.856735 | + | 0.515757i | \(0.827511\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.43166 | − | 16.2731i | −0.303144 | − | 0.663793i | 0.695349 | − | 0.718672i | \(-0.255250\pi\) |
−0.998493 | + | 0.0548796i | \(0.982523\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.56013 | + | 5.26267i | 0.185703 | + | 0.214313i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 14.2381 | + | 9.15025i | 0.578860 | + | 0.372011i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.2561 | − | 11.8361i | 0.416281 | − | 0.480414i | −0.508419 | − | 0.861110i | \(-0.669770\pi\) |
0.924700 | + | 0.380696i | \(0.124315\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.441184 | + | 3.06850i | 0.0178777 | + | 0.124342i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 46.5358 | − | 29.9067i | 1.88264 | − | 1.20990i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.1839 | + | 33.2480i | −0.613271 | + | 1.34288i | 0.307043 | + | 0.951696i | \(0.400660\pi\) |
−0.920314 | + | 0.391180i | \(0.872067\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 8.03638 | − | 2.35970i | 0.324058 | − | 0.0951521i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 29.4764 | + | 8.65505i | 1.18667 | + | 0.348439i | 0.814744 | − | 0.579821i | \(-0.196878\pi\) |
0.371931 | + | 0.928260i | \(0.378696\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.793907 | − | 5.52174i | 0.0319098 | − | 0.221938i | −0.967627 | − | 0.252386i | \(-0.918785\pi\) |
0.999536 | + | 0.0304489i | \(0.00969368\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.10384 | − | 3.65598i | 0.124553 | − | 0.146709i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.39117 | − | 9.67577i | 0.0557359 | − | 0.387651i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.34206 | + | 1.86220i | 0.253682 | + | 0.0744879i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.191803 | − | 0.0563184i | 0.00765987 | − | 0.00224914i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −9.43810 | + | 20.6665i | −0.376322 | + | 0.824029i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.69741 | − | 3.66150i | 0.226810 | − | 0.145762i | −0.422301 | − | 0.906456i | \(-0.638777\pi\) |
0.649111 | + | 0.760694i | \(0.275141\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.25988 | + | 8.76264i | 0.0500756 | + | 0.348284i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −15.6111 | + | 18.0161i | −0.619507 | + | 0.714949i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.8461 | − | 9.54102i | −0.588224 | − | 0.378029i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −7.85439 | − | 9.06445i | −0.310715 | − | 0.358584i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 17.0747 | + | 37.3883i | 0.674409 | + | 1.47675i | 0.868461 | + | 0.495758i | \(0.165110\pi\) |
−0.194052 | + | 0.980991i | \(0.562163\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −44.7063 | −1.76305 | −0.881523 | − | 0.472141i | \(-0.843481\pi\) | ||||
−0.881523 | + | 0.472141i | \(0.843481\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −9.85720 | −0.388127 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 13.6261 | + | 29.8369i | 0.535695 | + | 1.17301i | 0.963148 | + | 0.268972i | \(0.0866838\pi\) |
−0.427453 | + | 0.904038i | \(0.640589\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.87517 | + | 4.47219i | 0.152114 | + | 0.175549i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.78783 | − | 1.14897i | −0.0700704 | − | 0.0450315i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 15.0102 | − | 17.3227i | 0.587395 | − | 0.677890i | −0.381783 | − | 0.924252i | \(-0.624690\pi\) |
0.969178 | + | 0.246362i | \(0.0792353\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.12123 | − | 14.7535i | −0.0828835 | − | 0.576467i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 7.81470 | − | 5.02221i | 0.304881 | − | 0.195935i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.02158 | + | 4.42664i | −0.0787495 | + | 0.172437i | −0.944911 | − | 0.327326i | \(-0.893852\pi\) |
0.866162 | + | 0.499763i | \(0.166580\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.7020 | + | 4.61054i | −0.610739 | + | 0.179329i | −0.572453 | − | 0.819938i | \(-0.694008\pi\) |
−0.0382860 | + | 0.999267i | \(0.512190\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −22.6585 | − | 6.65315i | −0.879985 | − | 0.258387i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.157257 | − | 1.09375i | 0.00609818 | − | 0.0424138i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.928826 | − | 6.95824i | 0.0359643 | − | 0.269424i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.32888 | − | 23.1528i | 0.128702 | − | 0.895141i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.386943 | + | 0.113617i | 0.0149378 | + | 0.00438612i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.74305 | + | 2.86082i | −0.375567 | + | 0.110276i | −0.464068 | − | 0.885800i | \(-0.653611\pi\) |
0.0885008 | + | 0.996076i | \(0.471792\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.02354 | − | 2.24123i | 0.0393959 | − | 0.0862651i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.4266 | + | 9.91408i | −0.592893 | + | 0.381029i | −0.802408 | − | 0.596776i | \(-0.796448\pi\) |
0.209515 | + | 0.977805i | \(0.432812\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.98652 | − | 13.8165i | −0.0762356 | − | 0.530230i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.19838 | − | 1.38300i | 0.0459219 | − | 0.0529967i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −15.5026 | − | 9.96291i | −0.593190 | − | 0.381220i | 0.209330 | − | 0.977845i | \(-0.432872\pi\) |
−0.802520 | + | 0.596625i | \(0.796508\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.96964 | − | 10.3515i | −0.342712 | − | 0.395511i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.24756 | + | 15.8699i | 0.276512 | + | 0.605476i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.15275 | 0.120110 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.496461 | 0.0188863 | 0.00944314 | − | 0.999955i | \(-0.496994\pi\) | ||||
0.00944314 | + | 0.999955i | \(0.496994\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.536804 | + | 1.17544i | 0.0203915 | + | 0.0446512i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −15.1103 | − | 17.4382i | −0.573166 | − | 0.661469i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.8882 | + | 9.56804i | 0.563929 | + | 0.362415i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.80655 | − | 4.39299i | 0.143977 | − | 0.166158i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.70166 | − | 32.7008i | −0.177579 | − | 1.23509i | −0.862343 | − | 0.506325i | \(-0.831004\pi\) |
0.684763 | − | 0.728765i | \(-0.259906\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.86092 | + | 1.19594i | −0.0701859 | + | 0.0451058i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 5.21454 | − | 11.4182i | 0.196391 | − | 0.430036i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 33.1496 | − | 9.73361i | 1.24672 | − | 0.366070i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 34.4504 | + | 10.1155i | 1.29381 | + | 0.379897i | 0.854975 | − | 0.518670i | \(-0.173573\pi\) |
0.438836 | + | 0.898567i | \(0.355391\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.13709 | − | 14.8638i | 0.0801471 | − | 0.557435i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.18803 | + | 3.60497i | 0.119393 | + | 0.135007i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.970465 | + | 6.74973i | −0.0362933 | + | 0.252426i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.503438 | + | 0.147823i | 0.0188012 | + | 0.00552054i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 10.8983 | − | 3.20003i | 0.406438 | − | 0.119341i | −0.0721219 | − | 0.997396i | \(-0.522977\pi\) |
0.478560 | + | 0.878055i | \(0.341159\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.1000 | − | 26.4953i | 0.450628 | − | 0.986737i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.30837 | − | 0.840836i | 0.0486587 | − | 0.0312710i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.513265 | − | 3.56984i | −0.0190622 | − | 0.132580i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.0869 | − | 13.9490i | 0.448277 | − | 0.517339i | −0.485965 | − | 0.873978i | \(-0.661532\pi\) |
0.934242 | + | 0.356639i | \(0.116077\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −13.6395 | − | 15.7408i | −0.504475 | − | 0.582195i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.4536 | − | 33.8387i | −0.570792 | − | 1.24986i | −0.946375 | − | 0.323072i | \(-0.895285\pi\) |
0.375582 | − | 0.926789i | \(-0.377443\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.00460 | −0.147712 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 4.24877 | 0.156506 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.6027 | − | 27.5960i | −0.463596 | − | 1.01513i | −0.986653 | − | 0.162836i | \(-0.947936\pi\) |
0.523057 | − | 0.852298i | \(-0.324791\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.50570 | − | 1.73767i | −0.0553132 | − | 0.0638348i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 42.5202 | + | 27.3261i | 1.55991 | + | 1.00250i | 0.982548 | + | 0.186010i | \(0.0595557\pi\) |
0.577366 | + | 0.816486i | \(0.304081\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.4076 | − | 22.3976i | 0.711041 | − | 0.820585i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.124401 | + | 0.865225i | 0.00455158 | + | 0.0316569i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.65979 | + | 1.06668i | −0.0606475 | + | 0.0389758i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.9890 | + | 48.1492i | −0.802391 | + | 1.75699i | −0.165237 | + | 0.986254i | \(0.552839\pi\) |
−0.637154 | + | 0.770737i | \(0.719888\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.36045 | + | 0.399463i | −0.0495774 | + | 0.0145572i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 14.1561 | + | 4.15661i | 0.515194 | + | 0.151275i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.92682 | + | 48.1771i | −0.251759 | + | 1.75102i | 0.335883 | + | 0.941904i | \(0.390965\pi\) |
−0.587642 | + | 0.809121i | \(0.699944\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.445664 | − | 2.89203i | −0.0161766 | − | 0.104974i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.25326 | + | 8.71659i | −0.0454305 | + | 0.315976i | 0.954416 | + | 0.298478i | \(0.0964791\pi\) |
−0.999847 | + | 0.0174978i | \(0.994430\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 13.3050 | + | 3.90671i | 0.481674 | + | 0.141432i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −5.14168 | + | 1.50973i | −0.185898 | + | 0.0545846i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 28.2748 | − | 61.9132i | 1.02094 | − | 2.23556i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 37.2868 | − | 23.9628i | 1.34460 | − | 0.864121i | 0.347312 | − | 0.937750i | \(-0.387094\pi\) |
0.997286 | + | 0.0736288i | \(0.0234580\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.97307 | + | 13.7230i | 0.0710583 | + | 0.494221i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 15.3271 | − | 17.6884i | 0.551278 | − | 0.636208i | −0.409903 | − | 0.912129i | \(-0.634437\pi\) |
0.961180 | + | 0.275921i | \(0.0889828\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.07992 | + | 1.33669i | 0.0747131 | + | 0.0480152i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −9.36419 | − | 10.8069i | −0.335939 | − | 0.387694i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.715806 | + | 1.56740i | 0.0256464 | + | 0.0561578i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.31811 | −0.261862 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.46376 | 0.0523106 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −12.0737 | − | 26.4377i | −0.430929 | − | 0.943603i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.1920 | + | 14.0703i | 0.434597 | + | 0.501551i | 0.930228 | − | 0.366981i | \(-0.119609\pi\) |
−0.495631 | + | 0.868533i | \(0.665063\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 11.7942 | + | 7.57970i | 0.419886 | + | 0.269844i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 23.8709 | − | 27.5485i | 0.848751 | − | 0.979511i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.660132 | − | 4.59132i | −0.0234420 | − | 0.163042i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.601853 | − | 0.386787i | 0.0213455 | − | 0.0137179i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.04652 | − | 4.48124i | 0.0724913 | − | 0.158734i | −0.869917 | − | 0.493198i | \(-0.835828\pi\) |
0.942409 | + | 0.334464i | \(0.108555\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 25.4490 | − | 7.47250i | 0.900321 | − | 0.264358i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −4.42865 | − | 1.30037i | −0.156479 | − | 0.0459463i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.806624 | − | 5.61019i | 0.0284651 | − | 0.197979i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.5651 | − | 4.40010i | −0.548598 | − | 0.155083i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.938287 | + | 6.52593i | −0.0330293 | + | 0.229724i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −43.9531 | − | 12.9058i | −1.54531 | − | 0.453744i | −0.605614 | − | 0.795758i | \(-0.707073\pi\) |
−0.939695 | + | 0.342015i | \(0.888891\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.22633 | − | 1.53459i | 0.183521 | − | 0.0538868i | −0.188681 | − | 0.982039i | \(-0.560421\pi\) |
0.372202 | + | 0.928152i | \(0.378603\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.486841 | − | 1.06603i | 0.0170743 | − | 0.0373874i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −11.9571 | + | 7.68437i | −0.418840 | + | 0.269172i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.288601 | − | 2.00726i | −0.0100969 | − | 0.0702253i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 9.73326 | − | 11.2328i | 0.340108 | − | 0.392505i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 32.8373 | + | 21.1033i | 1.14603 | + | 0.736509i | 0.968845 | − | 0.247669i | \(-0.0796646\pi\) |
0.177185 | + | 0.984178i | \(0.443301\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.98834 | − | 5.75685i | −0.173883 | − | 0.200671i | 0.662118 | − | 0.749399i | \(-0.269658\pi\) |
−0.836001 | + | 0.548728i | \(0.815112\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.624509 | − | 1.36748i | −0.0217426 | − | 0.0476097i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −11.6181 | −0.404001 | −0.202001 | − | 0.979385i | \(-0.564744\pi\) | ||||
−0.202001 | + | 0.979385i | \(0.564744\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −43.2708 | −1.50286 | −0.751429 | − | 0.659814i | \(-0.770635\pi\) | ||||
−0.751429 | + | 0.659814i | \(0.770635\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −5.54890 | − | 12.1504i | −0.192489 | − | 0.421492i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −5.54120 | − | 6.39489i | −0.191991 | − | 0.221570i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.0055 | + | 7.07279i | 0.380860 | + | 0.244764i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.657126 | + | 0.758363i | −0.0227136 | + | 0.0262129i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 4.28017 | + | 29.7692i | 0.147768 | + | 1.02775i | 0.919863 | + | 0.392241i | \(0.128300\pi\) |
−0.772095 | + | 0.635507i | \(0.780791\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.5939 | + | 14.5202i | −0.779099 | + | 0.500697i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.7555 | + | 23.5513i | −0.370439 | + | 0.811149i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 55.3929 | − | 16.2648i | 1.90557 | − | 0.559527i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −21.5964 | − | 6.34126i | −0.742060 | − | 0.217888i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.0103520 | + | 0.0719998i | −0.000355280 | + | 0.00247103i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.7482 | + | 29.3172i | 0.471282 | + | 1.00498i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.90446 | + | 27.1561i | −0.133686 | + | 0.929808i | 0.807005 | + | 0.590544i | \(0.201087\pi\) |
−0.940691 | + | 0.339263i | \(0.889822\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.500615 | − | 0.146994i | −0.0171207 | − | 0.00502708i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 23.2702 | − | 6.83274i | 0.794894 | − | 0.233402i | 0.141021 | − | 0.990007i | \(-0.454961\pi\) |
0.653872 | + | 0.756605i | \(0.273143\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.2615 | − | 46.5562i | 0.725434 | − | 1.58848i | −0.0806957 | − | 0.996739i | \(-0.525714\pi\) |
0.806129 | − | 0.591739i | \(-0.201559\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.37045 | + | 6.02202i | −0.319344 | + | 0.205230i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 6.55876 | + | 45.6172i | 0.223263 | + | 1.55283i | 0.725577 | + | 0.688141i | \(0.241573\pi\) |
−0.502314 | + | 0.864685i | \(0.667518\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.4411 | + | 18.9740i | −0.559013 | + | 0.645135i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 4.77585 | + | 3.06925i | 0.162196 | + | 0.104237i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6.00007 | − | 6.92445i | −0.203538 | − | 0.234896i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.3012 | − | 44.4534i | −0.687879 | − | 1.50625i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −6.59089 | −0.223068 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −25.1738 | −0.851028 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.9842 | − | 43.7592i | −0.674817 | − | 1.47764i | −0.868043 | − | 0.496489i | \(-0.834622\pi\) |
0.193226 | − | 0.981154i | \(-0.438105\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −10.3112 | − | 11.8998i | −0.347789 | − | 0.401370i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 29.6598 | + | 19.0612i | 0.999265 | + | 0.642189i | 0.934593 | − | 0.355718i | \(-0.115764\pi\) |
0.0646718 | + | 0.997907i | \(0.479400\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.64522 | + | 11.1312i | −0.324587 | + | 0.374594i | −0.894467 | − | 0.447135i | \(-0.852445\pi\) |
0.569879 | + | 0.821728i | \(0.306990\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.19807 | − | 15.2879i | −0.0738873 | − | 0.513897i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 31.0797 | − | 19.9737i | 1.04356 | − | 0.670653i | 0.0976921 | − | 0.995217i | \(-0.468854\pi\) |
0.945864 | + | 0.324564i | \(0.105218\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.1699 | − | 28.8380i | 0.441703 | − | 0.967194i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.585433 | − | 0.171899i | 0.0196127 | − | 0.00575882i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.47782 | + | 0.727553i | 0.0829170 | + | 0.0243466i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.801247 | − | 5.57279i | 0.0267827 | − | 0.186278i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −28.1288 | + | 18.4813i | −0.939194 | + | 0.617073i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.209035 | + | 1.45387i | −0.00697172 | + | 0.0484894i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.45044 | + | 0.425889i | 0.0483213 | + | 0.0141884i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.5780 | − | 3.69322i | 0.418568 | − | 0.122903i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 5.35356 | − | 11.7227i | 0.177958 | − | 0.389674i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 44.9540 | − | 28.8902i | 1.49267 | − | 0.959284i | 0.496865 | − | 0.867828i | \(-0.334484\pi\) |
0.995809 | − | 0.0914558i | \(-0.0291520\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.32160 | − | 16.1471i | −0.0770028 | − | 0.535566i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 32.7360 | − | 37.7793i | 1.08459 | − | 1.25168i | 0.118646 | − | 0.992937i | \(-0.462145\pi\) |
0.965945 | − | 0.258748i | \(-0.0833100\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.448678 | + | 0.288348i | 0.0148491 | + | 0.00954291i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.689291 | − | 0.795485i | −0.0227873 | − | 0.0262979i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 8.23446 | + | 18.0310i | 0.271926 | + | 0.595435i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.90491 | 0.326733 | 0.163366 | − | 0.986565i | \(-0.447765\pi\) | ||||
0.163366 | + | 0.986565i | \(0.447765\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −8.30127 | −0.273536 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 34.9668 | + | 76.5667i | 1.15095 | + | 2.52022i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.8941 | + | 12.5725i | 0.358197 | + | 0.413381i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −11.5699 | − | 7.43555i | −0.380007 | − | 0.244216i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.6587 | + | 37.6902i | −1.07150 | + | 1.23658i | −0.101148 | + | 0.994871i | \(0.532252\pi\) |
−0.970350 | + | 0.241704i | \(0.922294\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.117248 | − | 0.815474i | −0.00384263 | − | 0.0267261i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 24.5195 | − | 15.7577i | 0.802731 | − | 0.515884i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.35825 | + | 2.97416i | −0.0444196 | + | 0.0972654i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.32195 | + | 2.44355i | −0.271866 | + | 0.0798272i | −0.414824 | − | 0.909902i | \(-0.636157\pi\) |
0.142958 | + | 0.989729i | \(0.454339\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −31.2365 | − | 9.17185i | −1.01936 | − | 0.299312i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.75065 | − | 33.0415i | 0.154867 | − | 1.07712i | −0.753048 | − | 0.657966i | \(-0.771417\pi\) |
0.907914 | − | 0.419156i | \(-0.137674\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 24.1284 | − | 7.35020i | 0.785729 | − | 0.239355i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.479991 | − | 3.33841i | 0.0156141 | − | 0.108598i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 27.2123 | + | 7.99026i | 0.884282 | + | 0.259649i | 0.692179 | − | 0.721726i | \(-0.256651\pi\) |
0.192103 | + | 0.981375i | \(0.438469\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −62.5515 | + | 18.3668i | −2.03051 | + | 0.596211i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.84538 | + | 14.9893i | −0.221977 | + | 0.486061i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 43.3828 | − | 27.8804i | 1.40531 | − | 0.903136i | 0.405368 | − | 0.914154i | \(-0.367143\pi\) |
0.999939 | + | 0.0110177i | \(0.00350712\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.32135 | + | 30.0557i | 0.139836 | + | 0.972579i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.584863 | − | 0.674968i | 0.0189059 | − | 0.0218186i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 15.3238 | + | 9.84804i | 0.494833 | + | 0.318010i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.6413 | + | 22.6673i | 0.633590 | + | 0.731202i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.386999 | + | 0.847410i | 0.0124709 | + | 0.0273074i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 27.2731 | 0.877953 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 23.6167 | 0.759463 | 0.379731 | − | 0.925097i | \(-0.376016\pi\) | ||||
0.379731 | + | 0.925097i | \(0.376016\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.457973 | − | 1.00282i | −0.0147122 | − | 0.0322152i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 30.3140 | + | 34.9843i | 0.972824 | + | 1.12270i | 0.992420 | + | 0.122891i | \(0.0392164\pi\) |
−0.0195963 | + | 0.999808i | \(0.506238\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 25.8146 | + | 16.5900i | 0.827578 | + | 0.531852i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −11.3235 | + | 13.0680i | −0.362642 | + | 0.418511i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −5.53433 | − | 38.4921i | −0.177059 | − | 1.23147i | −0.863523 | − | 0.504309i | \(-0.831747\pi\) |
0.686465 | − | 0.727163i | \(-0.259162\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.36915 | + | 1.52256i | −0.0757182 | + | 0.0486612i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.71993 | − | 5.95581i | 0.0868406 | − | 0.190154i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −47.6821 | + | 14.0007i | −1.52082 | + | 0.446554i | −0.932227 | − | 0.361874i | \(-0.882137\pi\) |
−0.588595 | + | 0.808428i | \(0.700319\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.22553 | + | 0.653473i | 0.0709111 | + | 0.0208214i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.37574 | + | 16.5236i | −0.0756205 | + | 0.525952i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −29.6832 | + | 0.299761i | −0.943872 | + | 0.00953184i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.26145 | − | 8.77356i | 0.0400712 | − | 0.278701i | −0.959928 | − | 0.280248i | \(-0.909583\pi\) |
0.999999 | + | 0.00154673i | \(0.000492339\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −21.0239 | − | 6.17316i | −0.667172 | − | 0.195899i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.14133 | + | 0.628750i | −0.0678846 | + | 0.0199327i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.7782 | − | 27.9803i | 0.404689 | − | 0.886145i | −0.592084 | − | 0.805876i | \(-0.701695\pi\) |
0.996773 | − | 0.0802691i | \(-0.0255780\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.68002 | + | 3.65033i | −0.179708 | + | 0.115491i |
(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 | 552.2.q.c.169.2 | yes | 30 | |
23.3 | even | 11 | inner | 552.2.q.c.49.2 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.q.c.49.2 | ✓ | 30 | 23.3 | even | 11 | inner | |
552.2.q.c.169.2 | yes | 30 | 1.1 | even | 1 | trivial |