Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 241.4 | ||
Character | \(\chi\) | \(=\) | 804.241 |
Dual form | 804.2.q.a.397.4 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
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 | ||||||||
\(5\) | 0.346311 | + | 0.101686i | 0.154875 | + | 0.0454754i | 0.358251 | − | 0.933625i | \(-0.383373\pi\) |
−0.203376 | + | 0.979101i | \(0.565191\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.316787 | − | 0.365591i | −0.119734 | − | 0.138181i | 0.692718 | − | 0.721209i | \(-0.256413\pi\) |
−0.812452 | + | 0.583028i | \(0.801868\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.26532 | − | 0.958785i | −0.984531 | − | 0.289085i | −0.250438 | − | 0.968133i | \(-0.580575\pi\) |
−0.734094 | + | 0.679048i | \(0.762393\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.29213 | − | 3.40105i | −1.46777 | − | 0.943281i | −0.998174 | − | 0.0604010i | \(-0.980762\pi\) |
−0.469599 | − | 0.882880i | \(-0.655602\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.236360 | − | 0.272774i | 0.0610279 | − | 0.0704299i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.245080 | − | 1.70457i | −0.0594407 | − | 0.413419i | −0.997717 | − | 0.0675325i | \(-0.978487\pi\) |
0.938276 | − | 0.345886i | \(-0.112422\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.00809343 | + | 0.00934032i | −0.00185676 | + | 0.00214282i | −0.756677 | − | 0.653789i | \(-0.773179\pi\) |
0.754820 | + | 0.655931i | \(0.227724\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.464151 | + | 0.136287i | −0.101286 | + | 0.0297403i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.00963 | − | 4.40047i | 0.419036 | − | 0.917561i | −0.575944 | − | 0.817489i | \(-0.695366\pi\) |
0.994980 | − | 0.100072i | \(-0.0319072\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.09668 | − | 2.63277i | −0.819335 | − | 0.526555i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.959493 | + | 0.281733i | −0.184655 | + | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.45535 | 1.19873 | 0.599365 | − | 0.800476i | \(-0.295420\pi\) | ||||
0.599365 | + | 0.800476i | \(0.295420\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.57798 | + | 2.29943i | −0.642624 | + | 0.412989i | −0.820964 | − | 0.570980i | \(-0.806564\pi\) |
0.178340 | + | 0.983969i | \(0.442927\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.22860 | + | 2.57195i | −0.387950 | + | 0.447719i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.0725312 | − | 0.158821i | −0.0122600 | − | 0.0268457i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.61092 | 1.08683 | 0.543414 | − | 0.839465i | \(-0.317131\pi\) | ||||
0.543414 | + | 0.839465i | \(0.317131\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.29213 | + | 3.40105i | −0.847419 | + | 0.544603i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.766467 | − | 5.33089i | −0.119702 | − | 0.832546i | −0.957884 | − | 0.287155i | \(-0.907290\pi\) |
0.838182 | − | 0.545391i | \(-0.183619\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.267804 | + | 1.86262i | 0.0408398 | + | 0.284047i | 0.999999 | + | 0.00118115i | \(0.000375972\pi\) |
−0.959160 | + | 0.282866i | \(0.908715\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.149936 | − | 0.328315i | −0.0223512 | − | 0.0489423i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.75439 | + | 3.84157i | −0.255904 | + | 0.560351i | −0.993360 | − | 0.115044i | \(-0.963299\pi\) |
0.737457 | + | 0.675394i | \(0.236027\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.962901 | − | 6.69712i | 0.137557 | − | 0.956732i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.65234 | − | 0.485171i | −0.231374 | − | 0.0679375i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.891886 | − | 6.20320i | 0.122510 | − | 0.852075i | −0.832187 | − | 0.554495i | \(-0.812911\pi\) |
0.954697 | − | 0.297580i | \(-0.0961795\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.03332 | − | 0.664076i | −0.139333 | − | 0.0895440i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.00513412 | + | 0.0112422i | 0.000680031 | + | 0.00148906i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.05821 | + | 1.96539i | −0.398145 | + | 0.255872i | −0.724358 | − | 0.689424i | \(-0.757864\pi\) |
0.326213 | + | 0.945296i | \(0.394227\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −13.0035 | + | 3.81817i | −1.66493 | + | 0.488867i | −0.972555 | − | 0.232674i | \(-0.925252\pi\) |
−0.692372 | + | 0.721541i | \(0.743434\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0688443 | + | 0.478823i | −0.00867357 | + | 0.0603260i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.48689 | − | 1.71596i | −0.184425 | − | 0.212838i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.10117 | + | 7.91107i | 0.256699 | + | 0.966491i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.16798 | − | 3.65604i | −0.381379 | − | 0.440135i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.831647 | − | 5.78423i | 0.0986983 | − | 0.686462i | −0.879058 | − | 0.476716i | \(-0.841827\pi\) |
0.977756 | − | 0.209746i | \(-0.0672638\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.109491 | + | 0.0321495i | −0.0128150 | + | 0.00376282i | −0.288134 | − | 0.957590i | \(-0.593035\pi\) |
0.275319 | + | 0.961353i | \(0.411217\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.09668 | + | 2.63277i | −0.473043 | + | 0.304007i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.683887 | + | 1.49750i | 0.0779361 | + | 0.170656i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.4984 | − | 6.74689i | −1.18116 | − | 0.759084i | −0.205559 | − | 0.978645i | \(-0.565901\pi\) |
−0.975599 | + | 0.219560i | \(0.929538\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 15.8816 | + | 4.66324i | 1.74323 | + | 0.511858i | 0.989400 | − | 0.145216i | \(-0.0463876\pi\) |
0.753827 | + | 0.657073i | \(0.228206\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0884571 | − | 0.615233i | 0.00959452 | − | 0.0667314i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.68165 | − | 5.87200i | 0.287503 | − | 0.629544i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.11906 | + | 6.82978i | 0.330619 | + | 0.723955i | 0.999817 | − | 0.0191293i | \(-0.00608941\pi\) |
−0.669198 | + | 0.743084i | \(0.733362\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.433084 | + | 3.01216i | 0.0453995 | + | 0.315761i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.605286 | + | 4.20986i | 0.0627653 | + | 0.436542i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.00375263 | + | 0.00241167i | −0.000385012 | + | 0.000247432i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.84463 | 0.390363 | 0.195182 | − | 0.980767i | \(-0.437470\pi\) | ||||
0.195182 | + | 0.980767i | \(0.437470\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.41373 | + | 3.09564i | 0.142085 | + | 0.311123i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 10.1832 | − | 11.7521i | 1.01327 | − | 1.16937i | 0.0277828 | − | 0.999614i | \(-0.491155\pi\) |
0.985485 | − | 0.169760i | \(-0.0542992\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.92897 | + | 6.38096i | −0.978330 | + | 0.628735i | −0.929012 | − | 0.370048i | \(-0.879341\pi\) |
−0.0493178 | + | 0.998783i | \(0.515705\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.174599 | −0.0170392 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.93932 | − | 1.74394i | 0.574176 | − | 0.168593i | 0.0182622 | − | 0.999833i | \(-0.494187\pi\) |
0.555914 | + | 0.831240i | \(0.312368\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.6532 | + | 8.13171i | 1.21195 | + | 0.778876i | 0.980985 | − | 0.194085i | \(-0.0621736\pi\) |
0.230970 | + | 0.972961i | \(0.425810\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.74627 | − | 6.01350i | 0.260665 | − | 0.570776i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.424988 | + | 0.124788i | −0.0399796 | + | 0.0117391i | −0.301661 | − | 0.953415i | \(-0.597541\pi\) |
0.261682 | + | 0.965154i | \(0.415723\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.14342 | − | 1.31958i | 0.106625 | − | 0.123051i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.895270 | + | 6.22674i | 0.0827677 | + | 0.575662i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.545538 | + | 0.629584i | −0.0500094 | + | 0.0577139i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.489266 | + | 0.314432i | 0.0444788 | + | 0.0285848i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.16755 | − | 1.51733i | −0.465943 | − | 0.136813i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.33281 | − | 2.69220i | −0.208653 | − | 0.240798i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.19395 | − | 7.14820i | −0.549624 | − | 0.634300i | 0.411171 | − | 0.911558i | \(-0.365120\pi\) |
−0.960796 | + | 0.277258i | \(0.910574\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.80555 | + | 0.530157i | 0.158970 | + | 0.0466777i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.53434 | + | 16.4979i | −0.658279 | + | 1.44143i | 0.225839 | + | 0.974165i | \(0.427488\pi\) |
−0.884118 | + | 0.467265i | \(0.845240\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.00597863 | 0.000518413 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.360931 | −0.0310640 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.87899 | − | 4.11442i | 0.160533 | − | 0.351519i | −0.812224 | − | 0.583346i | \(-0.801743\pi\) |
0.972757 | + | 0.231827i | \(0.0744705\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.250731 | + | 0.0736213i | 0.0212667 | + | 0.00624448i | 0.292349 | − | 0.956312i | \(-0.405563\pi\) |
−0.271082 | + | 0.962556i | \(0.587381\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.76562 | + | 3.19169i | 0.232907 | + | 0.268789i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 14.0196 | + | 16.1795i | 1.17238 | + | 1.35300i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.23556 | + | 0.656420i | 0.185653 | + | 0.0545127i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.69191 | − | 3.65797i | −0.469461 | − | 0.301704i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 14.8396 | − | 17.1259i | 1.21571 | − | 1.40301i | 0.326695 | − | 0.945130i | \(-0.394065\pi\) |
0.889016 | − | 0.457876i | \(-0.151390\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.313856 | − | 2.18292i | −0.0255412 | − | 0.177643i | 0.973058 | − | 0.230562i | \(-0.0740565\pi\) |
−0.998599 | + | 0.0529191i | \(0.983147\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.12773 | + | 1.30147i | −0.0911719 | + | 0.105218i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.47291 | + | 0.432487i | −0.118307 | + | 0.0347382i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.26122 | − | 2.76168i | 0.100656 | − | 0.220406i | −0.852604 | − | 0.522558i | \(-0.824978\pi\) |
0.953260 | + | 0.302152i | \(0.0977050\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.27213 | − | 3.38819i | −0.418107 | − | 0.268701i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.24539 | + | 0.659307i | −0.176962 | + | 0.0519607i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.397413 | 0.0311278 | 0.0155639 | − | 0.999879i | \(-0.495046\pi\) | ||||
0.0155639 | + | 0.999879i | \(0.495046\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.03332 | + | 0.664076i | −0.0804440 | + | 0.0516982i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 9.13533 | − | 10.5427i | 0.706913 | − | 0.815821i | −0.282756 | − | 0.959192i | \(-0.591249\pi\) |
0.989669 | + | 0.143371i | \(0.0457942\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.0391 | + | 24.1724i | 0.849165 | + | 1.85941i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.0123590 | 0.000945118 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 18.1921 | − | 11.6914i | 1.38312 | − | 0.888879i | 0.383721 | − | 0.923449i | \(-0.374642\pi\) |
0.999402 | + | 0.0345699i | \(0.0110061\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.335253 | + | 2.33174i | 0.0253428 | + | 0.176263i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.517358 | + | 3.59830i | 0.0388870 | + | 0.270465i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.0580196 | − | 0.127045i | −0.00433659 | − | 0.00949581i | 0.907451 | − | 0.420157i | \(-0.138025\pi\) |
−0.911788 | + | 0.410661i | \(0.865298\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.28347 | + | 2.81040i | −0.0953993 | + | 0.208895i | −0.951315 | − | 0.308220i | \(-0.900267\pi\) |
0.855916 | + | 0.517115i | \(0.172994\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.92872 | + | 13.4145i | −0.142575 | + | 0.991630i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.28944 | + | 0.672239i | 0.168323 | + | 0.0494240i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.834050 | + | 5.80095i | −0.0609918 | + | 0.424207i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.406954 | + | 0.261533i | 0.0296015 | + | 0.0190237i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.29299 | + | 20.3488i | 0.672417 | + | 1.47239i | 0.870483 | + | 0.492199i | \(0.163807\pi\) |
−0.198066 | + | 0.980189i | \(0.563466\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.67935 | + | 2.36457i | −0.264845 | + | 0.170206i | −0.666323 | − | 0.745663i | \(-0.732133\pi\) |
0.401478 | + | 0.915869i | \(0.368497\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.17856 | + | 0.639684i | −0.156010 | + | 0.0458087i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.19873 | − | 8.33732i | 0.0854057 | − | 0.594010i | −0.901508 | − | 0.432762i | \(-0.857539\pi\) |
0.986914 | − | 0.161248i | \(-0.0515518\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.53969 | + | 11.0094i | 0.676250 | + | 0.780435i | 0.985341 | − | 0.170598i | \(-0.0545700\pi\) |
−0.309090 | + | 0.951033i | \(0.600025\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8.06902 | + | 1.37508i | 0.569145 | + | 0.0969910i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.04497 | − | 2.36002i | −0.143529 | − | 0.165641i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.276642 | − | 1.92409i | 0.0193215 | − | 0.134384i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.64167 | + | 1.36292i | −0.322619 | + | 0.0947294i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.0353830 | − | 0.0227393i | 0.00244749 | − | 0.00157291i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.16513 | − | 15.6894i | −0.493268 | − | 1.08011i | −0.978599 | − | 0.205775i | \(-0.934028\pi\) |
0.485331 | − | 0.874330i | \(-0.338699\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.91604 | − | 3.15935i | −0.336842 | − | 0.216475i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.0966590 | + | 0.672278i | −0.00659209 | + | 0.0458490i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.97411 | + | 0.579650i | 0.134011 | + | 0.0393492i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.0162401 | + | 0.112952i | −0.00109740 | + | 0.00763259i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.50033 | + | 9.85434i | −0.302725 | + | 0.662874i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.13456 | + | 2.48435i | 0.0759760 | + | 0.166364i | 0.943809 | − | 0.330492i | \(-0.107215\pi\) |
−0.867833 | + | 0.496857i | \(0.834488\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.693035 | + | 4.82016i | 0.0462023 | + | 0.321344i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.35758 | + | 9.44214i | 0.0901054 | + | 0.626697i | 0.983967 | + | 0.178353i | \(0.0570769\pi\) |
−0.893861 | + | 0.448344i | \(0.852014\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.2872 | − | 8.53919i | 0.878046 | − | 0.564286i | −0.0221583 | − | 0.999754i | \(-0.507054\pi\) |
0.900204 | + | 0.435469i | \(0.143417\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.64627 | 0.108317 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.80506 | + | 17.0907i | 0.511326 | + | 1.11965i | 0.972620 | + | 0.232401i | \(0.0746581\pi\) |
−0.461294 | + | 0.887247i | \(0.652615\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.998198 | + | 1.15198i | −0.0651153 | + | 0.0751470i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −10.4984 | + | 6.74689i | −0.681942 | + | 0.438258i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −26.7542 | −1.73058 | −0.865292 | − | 0.501268i | \(-0.832867\pi\) | ||||
−0.865292 | + | 0.501268i | \(0.832867\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.9130 | − | 3.20436i | 0.702971 | − | 0.206411i | 0.0893370 | − | 0.996001i | \(-0.471525\pi\) |
0.613634 | + | 0.789591i | \(0.289707\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.841254 | + | 0.540641i | 0.0539664 | + | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.01447 | − | 2.22137i | 0.0648120 | − | 0.141918i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0745984 | − | 0.0219041i | 0.00474658 | − | 0.00139372i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 10.8393 | − | 12.5092i | 0.686911 | − | 0.792737i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.294427 | + | 2.04778i | 0.0185840 | + | 0.129255i | 0.997001 | − | 0.0773837i | \(-0.0246567\pi\) |
−0.978417 | + | 0.206639i | \(0.933748\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.7812 | + | 12.4421i | −0.677806 | + | 0.782230i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.522889 | − | 0.336040i | −0.0327446 | − | 0.0210437i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.92971 | − | 1.74112i | −0.369885 | − | 0.108608i | 0.0915069 | − | 0.995804i | \(-0.470832\pi\) |
−0.461392 | + | 0.887196i | \(0.652650\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.09425 | − | 2.41689i | −0.130130 | − | 0.150178i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.22736 | − | 4.87863i | −0.261667 | − | 0.301980i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.84159 | − | 0.540739i | −0.113557 | − | 0.0333434i | 0.224460 | − | 0.974483i | \(-0.427938\pi\) |
−0.338017 | + | 0.941140i | \(0.609756\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.939650 | − | 2.05755i | 0.0577222 | − | 0.126394i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.50829 | 0.459500 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.4964 | −0.639976 | −0.319988 | − | 0.947422i | \(-0.603679\pi\) | ||||
−0.319988 | + | 0.947422i | \(0.603679\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.05691 | − | 13.2628i | 0.367931 | − | 0.805656i | −0.631608 | − | 0.775288i | \(-0.717605\pi\) |
0.999539 | − | 0.0303683i | \(-0.00966801\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.91987 | + | 0.857351i | 0.176719 | + | 0.0518893i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.8527 | + | 12.5247i | 0.654442 | + | 0.755267i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.20310 | − | 10.6209i | −0.552961 | − | 0.638151i | 0.408610 | − | 0.912709i | \(-0.366014\pi\) |
−0.961570 | + | 0.274559i | \(0.911468\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.08087 | + | 1.19825i | 0.244315 | + | 0.0717374i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −21.6976 | − | 13.9442i | −1.29437 | − | 0.831843i | −0.301785 | − | 0.953376i | \(-0.597582\pi\) |
−0.992587 | + | 0.121533i | \(0.961219\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.3017 | + | 16.5051i | −0.850150 | + | 0.981125i | −0.999971 | − | 0.00758776i | \(-0.997585\pi\) |
0.149821 | + | 0.988713i | \(0.452130\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.000634832 | 0.00441535i | 3.76042e−5 | 0.000261543i | ||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.70612 | + | 1.96897i | −0.100709 | + | 0.116225i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.4659 | − | 3.95394i | 0.792111 | − | 0.232585i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.59712 | − | 3.49720i | 0.0936247 | − | 0.205009i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 17.5244 | + | 11.2622i | 1.02378 | + | 0.657946i | 0.940925 | − | 0.338615i | \(-0.109959\pi\) |
0.0828589 | + | 0.996561i | \(0.473595\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.25895 | + | 0.369660i | −0.0732987 | + | 0.0215224i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.40317 | 0.197472 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −25.6014 | + | 16.4530i | −1.48057 | + | 0.951503i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.596121 | − | 0.687960i | 0.0343598 | − | 0.0396534i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.45979 | − | 14.1450i | −0.371105 | − | 0.812607i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.89151 | −0.280087 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.7081 | − | 8.16698i | 0.725287 | − | 0.466114i | −0.125185 | − | 0.992133i | \(-0.539952\pi\) |
0.850472 | + | 0.526020i | \(0.176316\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.67968 | + | 11.6825i | 0.0955538 | + | 0.664592i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.06658 | − | 14.3734i | −0.117185 | − | 0.815039i | −0.960632 | − | 0.277826i | \(-0.910386\pi\) |
0.843447 | − | 0.537213i | \(-0.180523\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.889116 | + | 1.94689i | 0.0502558 | + | 0.110045i | 0.933094 | − | 0.359632i | \(-0.117098\pi\) |
−0.882838 | + | 0.469677i | \(0.844370\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.0725312 | + | 0.158821i | −0.00408667 | + | 0.00894856i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.09440 | − | 14.5669i | 0.117633 | − | 0.818157i | −0.842516 | − | 0.538671i | \(-0.818927\pi\) |
0.960150 | − | 0.279486i | \(-0.0901642\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −21.0788 | − | 6.18930i | −1.18019 | − | 0.346534i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.880938 | − | 6.12706i | 0.0491692 | − | 0.341979i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.0179048 | + | 0.0115067i | 0.000996248 | + | 0.000640250i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.7260 | + | 27.8660i | 0.705910 | + | 1.54573i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 12.6532 | − | 8.13171i | 0.699723 | − | 0.449684i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.96021 | − | 0.575570i | 0.108070 | − | 0.0317322i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.00165880 | − | 0.0115372i | 9.11758e−5 | − | 0.000634141i | −0.989776 | − | 0.142632i | \(-0.954443\pi\) |
0.989867 | + | 0.141998i | \(0.0453526\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.32923 | − | 4.99620i | −0.237240 | − | 0.273790i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.0767868 | + | 2.95335i | −0.00419531 | + | 0.161359i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.80458 | − | 6.69884i | −0.316196 | − | 0.364909i | 0.575297 | − | 0.817945i | \(-0.304887\pi\) |
−0.891492 | + | 0.453036i | \(0.850341\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.0630355 | + | 0.438422i | −0.00342362 | + | 0.0238118i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.8879 | − | 4.07786i | 0.752072 | − | 0.220828i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.60212 | + | 3.60026i | −0.302486 | + | 0.194396i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.725337 | − | 1.58827i | −0.0390508 | − | 0.0855094i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 19.0107 | + | 12.2175i | 1.02055 | + | 0.655868i | 0.940103 | − | 0.340891i | \(-0.110729\pi\) |
0.0804476 | + | 0.996759i | \(0.474365\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.03753 | − | 7.21619i | 0.0555378 | − | 0.386274i | −0.943027 | − | 0.332716i | \(-0.892035\pi\) |
0.998565 | − | 0.0535574i | \(-0.0170560\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.03595 | + | 1.77231i | 0.322175 | + | 0.0945992i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.335004 | + | 2.33001i | −0.0178305 | + | 0.124014i | −0.996793 | − | 0.0800285i | \(-0.974499\pi\) |
0.978962 | + | 0.204042i | \(0.0654080\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.876185 | − | 1.91858i | 0.0465030 | − | 0.101827i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.346065 | + | 0.757777i | 0.0183157 | + | 0.0401058i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.97431 | − | 34.5971i | −0.262534 | − | 1.82596i | −0.513642 | − | 0.858004i | \(-0.671704\pi\) |
0.251108 | − | 0.967959i | \(-0.419205\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.70396 | + | 18.8065i | 0.142314 | + | 0.989813i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.489266 | − | 0.314432i | 0.0256798 | − | 0.0165034i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.0411872 | −0.00215584 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.3373 | − | 31.3943i | −0.748401 | − | 1.63877i | −0.769219 | − | 0.638985i | \(-0.779354\pi\) |
0.0208184 | − | 0.999783i | \(-0.493373\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.52689 | + | 4.07025i | −0.183603 | + | 0.211889i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.55037 | + | 1.63903i | −0.132409 | + | 0.0850940i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.6966 | −0.709185 | −0.354593 | − | 0.935021i | \(-0.615380\pi\) | ||||
−0.354593 | + | 0.935021i | \(0.615380\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −3.41800 | + | 1.00361i | −0.176505 | + | 0.0518264i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −34.1626 | − | 21.9550i | −1.75946 | − | 1.13074i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.52834 | − | 12.1054i | 0.283972 | − | 0.621812i | −0.712864 | − | 0.701303i | \(-0.752602\pi\) |
0.996836 | + | 0.0794908i | \(0.0253294\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.07529 | + | 2.66475i | −0.464941 | + | 0.136519i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.35593 | − | 7.33513i | 0.324773 | − | 0.374808i | −0.569759 | − | 0.821812i | \(-0.692964\pi\) |
0.894532 | + | 0.447004i | \(0.147509\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0845623 | + | 0.588144i | 0.00430970 | + | 0.0299746i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.23230 | − | 1.42215i | 0.0626413 | − | 0.0722919i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −19.8390 | − | 12.7497i | −1.00588 | − | 0.646438i | −0.0695541 | − | 0.997578i | \(-0.522158\pi\) |
−0.936323 | + | 0.351140i | \(0.885794\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.99342 | − | 2.34708i | −0.404245 | − | 0.118697i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.8771 | + | 13.7070i | 0.599123 | + | 0.691425i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.94964 | − | 3.40406i | −0.148412 | − | 0.171277i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −28.7646 | − | 8.44605i | −1.44365 | − | 0.423895i | −0.536216 | − | 0.844081i | \(-0.680147\pi\) |
−0.907438 | + | 0.420186i | \(0.861965\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.00248361 | − | 0.00543835i | 0.000124336 | − | 0.000272258i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −15.3172 | −0.764903 | −0.382451 | − | 0.923976i | \(-0.624920\pi\) | ||||
−0.382451 | + | 0.923976i | \(0.624920\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.7556 | 1.33279 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.149936 | + | 0.328315i | −0.00745040 | + | 0.0163141i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −21.5868 | − | 6.33845i | −1.07002 | − | 0.314185i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.0416 | − | 18.5130i | −0.793204 | − | 0.915407i | 0.204784 | − | 0.978807i | \(-0.434351\pi\) |
−0.997988 | + | 0.0634006i | \(0.979805\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.96205 | − | 3.41838i | −0.146107 | − | 0.168616i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.68733 | + | 0.495445i | 0.0830282 | + | 0.0243793i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.02577 | + | 3.22987i | 0.246705 | + | 0.158548i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.171126 | − | 0.197490i | 0.00838007 | − | 0.00967111i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.26899 | + | 15.7812i | 0.110848 | + | 0.770961i | 0.967099 | + | 0.254402i | \(0.0818785\pi\) |
−0.856251 | + | 0.516560i | \(0.827212\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.9469 | − | 19.5578i | 0.825942 | − | 0.953188i | −0.173557 | − | 0.984824i | \(-0.555526\pi\) |
0.999499 | + | 0.0316357i | \(0.0100716\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.05214 | − | 1.18982i | 0.197022 | − | 0.0578509i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.48373 | + | 7.62831i | −0.168986 | + | 0.370027i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.51522 | + | 3.54442i | 0.266900 | + | 0.171526i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 20.5414 | − | 6.03149i | 0.991747 | − | 0.291203i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −23.5278 | −1.13329 | −0.566647 | − | 0.823961i | \(-0.691760\pi\) | ||||
−0.566647 | + | 0.823961i | \(0.691760\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.684418 | − | 0.439849i | 0.0328911 | − | 0.0211378i | −0.524092 | − | 0.851662i | \(-0.675595\pi\) |
0.556983 | + | 0.830524i | \(0.311959\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.52579 | − | 1.76085i | 0.0731559 | − | 0.0844264i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.0248370 | + | 0.0543854i | 0.00118811 | + | 0.00260161i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.7815 | 1.03957 | 0.519787 | − | 0.854296i | \(-0.326011\pi\) | ||||
0.519787 | + | 0.854296i | \(0.326011\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.69191 | + | 3.65797i | −0.271043 | + | 0.174189i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.0403283 | − | 0.280490i | −0.00191606 | − | 0.0133265i | 0.988841 | − | 0.148975i | \(-0.0475973\pi\) |
−0.990757 | + | 0.135648i | \(0.956688\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.385670 | + | 2.68239i | 0.0182825 | + | 0.127158i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −9.41362 | − | 20.6130i | −0.445249 | − | 0.974959i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.81069 | − | 17.1030i | 0.368609 | − | 0.807142i | −0.630901 | − | 0.775863i | \(-0.717315\pi\) |
0.999511 | − | 0.0312789i | \(-0.00995800\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.60842 | + | 18.1420i | −0.122826 | + | 0.854271i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.11603 | − | 0.621322i | −0.0994198 | − | 0.0291923i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.156314 | + | 1.08718i | −0.00732809 | + | 0.0509680i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.7983 | + | 10.1529i | 0.739011 | + | 0.474934i | 0.855203 | − | 0.518293i | \(-0.173432\pi\) |
−0.116192 | + | 0.993227i | \(0.537069\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.715385 | + | 1.56648i | 0.0333913 | + | 0.0731168i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −8.41443 | + | 5.40762i | −0.391899 | + | 0.251858i | −0.721720 | − | 0.692185i | \(-0.756648\pi\) |
0.329821 | + | 0.944044i | \(0.393012\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.55241 | + | 0.749456i | −0.118621 | + | 0.0348302i | −0.340504 | − | 0.940243i | \(-0.610598\pi\) |
0.221883 | + | 0.975073i | \(0.428780\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.218467 | + | 1.51947i | −0.0101312 | + | 0.0704638i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 17.2311 | + | 19.8857i | 0.797360 | + | 0.920202i | 0.998233 | − | 0.0594150i | \(-0.0189235\pi\) |
−0.200874 | + | 0.979617i | \(0.564378\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.22660 | − | 3.27429i | 0.102815 | − | 0.151193i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.98818 | − | 2.29449i | −0.0916107 | − | 0.105724i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.911384 | − | 6.33882i | 0.0419055 | − | 0.291459i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0577471 | − | 0.0169561i | 0.00264962 | − | 0.000777999i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.27213 | + | 3.38819i | −0.241394 | + | 0.155135i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −9.09262 | − | 19.9101i | −0.415453 | − | 0.909714i | −0.995467 | − | 0.0951079i | \(-0.969680\pi\) |
0.580014 | − | 0.814606i | \(-0.303047\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −34.9859 | − | 22.4840i | −1.59522 | − | 1.02518i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.333044 | + | 2.31637i | −0.0151540 | + | 0.105398i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.33144 | + | 0.390946i | 0.0604575 | + | 0.0177519i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.82785 | − | 26.6233i | 0.173456 | − | 1.20642i | −0.698056 | − | 0.716043i | \(-0.745952\pi\) |
0.871513 | − | 0.490373i | \(-0.163139\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.165091 | − | 0.361499i | 0.00746568 | − | 0.0163476i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7.57606 | − | 16.5893i | −0.341903 | − | 0.748663i | 0.658088 | − | 0.752941i | \(-0.271365\pi\) |
−0.999991 | + | 0.00427818i | \(0.998638\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.58208 | − | 11.0036i | −0.0712533 | − | 0.495577i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.174807 | + | 1.21581i | 0.00785699 | + | 0.0546466i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.37812 | + | 1.52832i | −0.106673 | + | 0.0685547i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.15432 | −0.320271 | −0.160136 | − | 0.987095i | \(-0.551193\pi\) | ||||
−0.160136 | + | 0.987095i | \(0.551193\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.79505 | − | 12.6894i | −0.258904 | − | 0.566920i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.2759 | + | 19.9375i | −0.770295 | + | 0.888967i | −0.996369 | − | 0.0851426i | \(-0.972865\pi\) |
0.226074 | + | 0.974110i | \(0.427411\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.72159 | − | 3.03438i | 0.210108 | − | 0.135028i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 26.5738 | 1.18018 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −23.2723 | + | 6.83336i | −1.03153 | + | 0.302883i | −0.753331 | − | 0.657642i | \(-0.771554\pi\) |
−0.278194 | + | 0.960525i | \(0.589736\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.0464389 | + | 0.0298445i | 0.00205434 | + | 0.00132024i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.00513412 | − | 0.0112422i | 0.000226677 | − | 0.000496353i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −4.08737 | + | 1.20016i | −0.180111 | + | 0.0528854i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.41188 | − | 10.8619i | 0.413934 | − | 0.477705i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.07756 | − | 21.4049i | −0.135090 | − | 0.939572i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −15.2091 | + | 17.5522i | −0.666321 | + | 0.768975i | −0.983796 | − | 0.179291i | \(-0.942620\pi\) |
0.317475 | + | 0.948267i | \(0.397165\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 22.7730 | + | 14.6353i | 0.995796 | + | 0.639959i | 0.933679 | − | 0.358110i | \(-0.116579\pi\) |
0.0621164 | + | 0.998069i | \(0.480215\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.26029 | + | 0.663681i | 0.0986472 | + | 0.0289654i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.79642 | + | 5.53537i | 0.208936 | + | 0.241124i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.263707 | − | 0.304334i | −0.0114655 | − | 0.0132319i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.48805 | + | 1.02418i | 0.151368 | + | 0.0444458i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −14.0744 | + | 30.8186i | −0.609629 | + | 1.33490i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.23419 | 0.0965924 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.139667 | −0.00602706 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −9.56528 | + | 20.9450i | −0.412006 | + | 0.902167i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.02083 | + | 0.593371i | 0.0868825 | + | 0.0255110i | 0.324885 | − | 0.945754i | \(-0.394674\pi\) |
−0.238002 | + | 0.971265i | \(0.576493\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.02326 | + | 2.33496i | 0.0868263 | + | 0.100203i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.55506 | + | 4.10275i | 0.152282 | + | 0.175743i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.77059 | + | 2.86890i | 0.417760 | + | 0.122665i | 0.483856 | − | 0.875148i | \(-0.339236\pi\) |
−0.0660954 | + | 0.997813i | \(0.521054\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.4011 | + | 7.32701i | 0.486585 | + | 0.312709i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.0522460 | + | 0.0602951i | −0.00222575 | + | 0.00256866i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.859138 | + | 5.97544i | 0.0365343 | + | 0.254101i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.56256 | − | 1.80329i | 0.0663268 | − | 0.0765452i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −28.1413 | + | 8.26303i | −1.19238 | + | 0.350116i | −0.816937 | − | 0.576728i | \(-0.804329\pi\) |
−0.375448 | + | 0.926843i | \(0.622511\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.91760 | − | 10.7680i | 0.207992 | − | 0.455440i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.93025 | + | 3.16848i | 0.208155 | + | 0.133773i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −17.3773 | + | 5.10245i | −0.732367 | + | 0.215042i | −0.626592 | − | 0.779348i | \(-0.715551\pi\) |
−0.105776 | + | 0.994390i | \(0.533733\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.159867 | −0.00672567 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.406954 | − | 0.261533i | 0.0170904 | − | 0.0109834i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.08010 | − | 3.55462i | 0.129124 | − | 0.149017i | −0.687506 | − | 0.726179i | \(-0.741294\pi\) |
0.816630 | + | 0.577162i | \(0.195840\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.52286 | − | 16.4728i | −0.314822 | − | 0.689364i | 0.684387 | − | 0.729119i | \(-0.260070\pi\) |
−0.999209 | + | 0.0397544i | \(0.987342\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 22.3704 | 0.934536 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −19.8182 | + | 12.7364i | −0.826477 | + | 0.531144i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.32996 | + | 44.0259i | 0.263520 | + | 1.83282i | 0.505843 | + | 0.862625i | \(0.331181\pi\) |
−0.242324 | + | 0.970195i | \(0.577910\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.622435 | + | 4.32913i | 0.0258675 | + | 0.179912i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.32622 | − | 7.28341i | −0.137995 | − | 0.302167i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.85983 | + | 19.4003i | −0.366937 | + | 0.803479i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.323131 | + | 2.24743i | −0.0133598 | + | 0.0929196i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 25.6027 | + | 7.51762i | 1.05673 | + | 0.310285i | 0.763535 | − | 0.645766i | \(-0.223462\pi\) |
0.293199 | + | 0.956051i | \(0.405280\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.00748074 | − | 0.0520297i | 0.000308239 | − | 0.00214385i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.08593 | − | 4.55385i | −0.291476 | − | 0.187320i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2.02496 | + | 4.43403i | 0.0831549 | + | 0.182084i | 0.946642 | − | 0.322287i | \(-0.104452\pi\) |
−0.863487 | + | 0.504371i | \(0.831724\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.252946 | + | 0.162558i | −0.0103698 | + | 0.00666424i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 13.9774 | − | 4.10414i | 0.572058 | − | 0.167971i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.62118 | + | 25.1858i | −0.147957 | + | 1.02907i | 0.771600 | + | 0.636108i | \(0.219457\pi\) |
−0.919557 | + | 0.392957i | \(0.871452\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −21.9986 | − | 25.3878i | −0.897343 | − | 1.03559i | −0.999168 | − | 0.0407869i | \(-0.987014\pi\) |
0.101825 | − | 0.994802i | \(-0.467532\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.60281 | − | 6.76861i | 0.187441 | − | 0.275639i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.137465 | + | 0.158643i | 0.00558875 | + | 0.00644976i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.78775 | − | 26.3444i | 0.153740 | − | 1.06929i | −0.756138 | − | 0.654412i | \(-0.772916\pi\) |
0.909879 | − | 0.414875i | \(-0.136175\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.99626 | + | 0.879782i | −0.121415 | + | 0.0356506i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 22.3498 | − | 14.3634i | 0.904177 | − | 0.581079i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.96390 | + | 19.6282i | 0.362049 | + | 0.792776i | 0.999747 | + | 0.0224896i | \(0.00715928\pi\) |
−0.637699 | + | 0.770286i | \(0.720113\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.63529 | − | 1.05094i | −0.0659413 | − | 0.0423779i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6.15146 | − | 42.7844i | 0.247649 | − | 1.72243i | −0.364081 | − | 0.931367i | \(-0.618617\pi\) |
0.611730 | − | 0.791067i | \(-0.290474\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.1633 | + | 7.97586i | 1.09178 | + | 0.320577i | 0.777583 | − | 0.628780i | \(-0.216445\pi\) |
0.314201 | + | 0.949357i | \(0.398263\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.688467 | + | 4.78839i | −0.0276272 | + | 0.192152i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.50883 | − | 3.30388i | 0.0604501 | − | 0.132367i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.58067 | + | 20.9787i | 0.383227 | + | 0.839150i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.00598574 | − | 0.0416318i | −0.000239048 | − | 0.00166261i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.62020 | − | 11.2688i | −0.0646018 | − | 0.449315i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.5930 | − | 22.8742i | 1.41693 | − | 0.910608i | 0.416936 | − | 0.908936i | \(-0.363104\pi\) |
0.999999 | − | 0.00167236i | \(-0.000532329\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −17.2481 | −0.685551 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.41816 | − | 3.10534i | −0.0562780 | − | 0.123232i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −27.8730 | + | 32.1672i | −1.10437 | + | 1.27451i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.91604 | + | 3.15935i | −0.194476 | + | 0.124982i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −39.8487 | −1.57393 | −0.786965 | − | 0.616998i | \(-0.788349\pi\) | ||||
−0.786965 | + | 0.616998i | \(0.788349\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.96632 | − | 0.870989i | 0.116980 | − | 0.0343485i | −0.222719 | − | 0.974883i | \(-0.571493\pi\) |
0.339699 | + | 0.940534i | \(0.389675\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.571372 | + | 0.367198i | 0.0224978 | + | 0.0144584i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.01944 | − | 2.23227i | 0.0400785 | − | 0.0877597i | −0.888534 | − | 0.458811i | \(-0.848275\pi\) |
0.928612 | + | 0.371052i | \(0.121003\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.8704 | − | 3.48547i | 0.465955 | − | 0.136817i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.34734 | − | 1.55491i | 0.0528065 | − | 0.0609419i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.89304 | + | 20.1215i | 0.113213 | + | 0.787417i | 0.964759 | + | 0.263136i | \(0.0847568\pi\) |
−0.851545 | + | 0.524281i | \(0.824334\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.28684 | + | 4.94727i | −0.167501 | + | 0.193306i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.0959984 | + | 0.0616945i | 0.00374526 | + | 0.00240693i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 13.9359 | + | 4.09195i | 0.542865 | + | 0.159400i | 0.541657 | − | 0.840600i | \(-0.317797\pi\) |
0.00120823 | + | 0.999999i | \(0.499615\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.3716 | + | 22.3561i | 0.753469 | + | 0.869550i | 0.994900 | − | 0.100868i | \(-0.0321621\pi\) |
−0.241431 | + | 0.970418i | \(0.577617\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 7.09432 | + | 8.18728i | 0.275520 | + | 0.317968i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.00207047 | 0.000607944i | 8.02893e−5 | 2.35751e-5i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.9728 | − | 28.4066i | 0.502310 | − | 1.09991i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.73116 | 0.105593 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 46.1214 | 1.78050 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.93892 | + | 15.1941i | −0.267476 | + | 0.585690i | −0.994942 | − | 0.100453i | \(-0.967971\pi\) |
0.727466 | + | 0.686144i | \(0.240698\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.67247 | + | 1.37196i | 0.179843 | + | 0.0528068i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 16.0968 | + | 18.5767i | 0.618651 | + | 0.713962i | 0.975450 | − | 0.220220i | \(-0.0706774\pi\) |
−0.356799 | + | 0.934181i | \(0.616132\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.21793 | − | 1.40556i | −0.0467398 | − | 0.0539406i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.15283 | + | 2.68751i | 0.350737 | + | 0.102986i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 43.1265 | + | 27.7157i | 1.65019 | + | 1.06051i | 0.930548 | + | 0.366170i | \(0.119331\pi\) |
0.719643 | + | 0.694344i | \(0.244305\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.06910 | − | 1.23380i | 0.0408480 | − | 0.0471412i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.24780 | − | 15.6338i | −0.0857590 | − | 0.596467i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −25.8174 | + | 29.7948i | −0.983563 | + | 1.13509i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −32.9442 | + | 9.67329i | −1.25326 | + | 0.367989i | −0.839981 | − | 0.542616i | \(-0.817434\pi\) |
−0.413276 | + | 0.910606i | \(0.635616\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.683887 | − | 1.49750i | 0.0259787 | − | 0.0568854i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.0793447 | + | 0.0509918i | 0.00300972 | + | 0.00193423i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.89903 | + | 2.61299i | −0.337075 | + | 0.0989741i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 18.7886 | 0.710649 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 25.3423 | − | 16.2865i | 0.957164 | − | 0.615132i | 0.0339523 | − | 0.999423i | \(-0.489191\pi\) |
0.923212 | + | 0.384291i | \(0.125554\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.0535050 | + | 0.0617481i | −0.00201798 | + | 0.00232887i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.633213 | + | 1.38654i | 0.0238482 | + | 0.0522203i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.52236 | −0.282907 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −30.4312 | + | 19.5570i | −1.14287 | + | 0.734477i | −0.968207 | − | 0.250151i | \(-0.919520\pi\) |
−0.174662 | + | 0.984628i | \(0.555883\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.77601 | + | 12.3524i | 0.0666055 | + | 0.463251i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.92815 | + | 20.3658i | 0.109660 | + | 0.762704i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.20992 | + | 7.02876i | 0.120044 | + | 0.262861i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −11.1141 | + | 24.3365i | −0.415063 | + | 0.908861i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.10243 | − | 14.6227i | 0.0784074 | − | 0.545336i | −0.912321 | − | 0.409476i | \(-0.865711\pi\) |
0.990728 | − | 0.135859i | \(-0.0433795\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.47819 | + | 1.60854i | 0.204018 | + | 0.0599052i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.61866 | − | 11.2580i | 0.0601984 | − | 0.418689i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −26.4455 | − | 16.9955i | −0.982161 | − | 0.631197i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.54582 | − | 14.3333i | −0.242771 | − | 0.531594i | 0.748547 | − | 0.663082i | \(-0.230752\pi\) |
−0.991318 | + | 0.131488i | \(0.958025\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.10933 | − | 0.912982i | 0.115003 | − | 0.0337679i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.17949 | − | 8.20351i | 0.0435653 | − | 0.303004i | −0.956376 | − | 0.292140i | \(-0.905633\pi\) |
0.999941 | − | 0.0108638i | \(-0.00345813\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.59921 | − | 1.84558i | −0.0589877 | − | 0.0680754i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.724012 | − | 27.8468i | 0.0266693 | − | 1.02575i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 27.2921 | + | 31.4968i | 1.00396 | + | 1.15863i | 0.987316 | + | 0.158766i | \(0.0507516\pi\) |
0.0166404 | + | 0.999862i | \(0.494703\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0110647 | − | 0.0769564i | 0.000406470 | − | 0.00282706i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.99813 | − | 1.17396i | 0.146677 | − | 0.0430683i | −0.207570 | − | 0.978220i | \(-0.566555\pi\) |
0.354247 | + | 0.935152i | \(0.384737\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.88060 | − | 4.42189i | 0.252086 | − | 0.162006i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.87596 | − | 15.0563i | −0.251578 | − | 0.550879i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.51907 | − | 1.61891i | −0.0920448 | − | 0.0591536i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.56899 | − | 31.7780i | 0.166725 | − | 1.15960i | −0.718872 | − | 0.695142i | \(-0.755341\pi\) |
0.885597 | − | 0.464454i | \(-0.153749\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.98504 | + | 0.582860i | 0.0723388 | + | 0.0212406i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.113280 | − | 0.787883i | 0.00412270 | − | 0.0286740i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.68403 | + | 12.4463i | −0.206590 | + | 0.452368i | −0.984357 | − | 0.176184i | \(-0.943625\pi\) |
0.777768 | + | 0.628552i | \(0.216352\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.83910 | + | 14.9755i | 0.248244 | + | 0.543578i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.04294 | − | 35.0745i | −0.182807 | − | 1.27145i | −0.850087 | − | 0.526642i | \(-0.823451\pi\) |
0.667281 | − | 0.744806i | \(-0.267458\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.03548 | − | 7.20191i | −0.0374868 | − | 0.260727i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.522889 | + | 0.336040i | −0.0189051 | + | 0.0121496i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 22.8689 | 0.825747 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.99199 | − | 15.3103i | −0.252138 | − | 0.552105i | 0.740664 | − | 0.671876i | \(-0.234511\pi\) |
−0.992802 | + | 0.119771i | \(0.961784\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.04707 | + | 4.67057i | −0.145752 | + | 0.168206i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −28.0384 | + | 18.0192i | −1.00847 | + | 0.648106i | −0.936997 | − | 0.349337i | \(-0.886407\pi\) |
−0.0714748 | + | 0.997442i | \(0.522771\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 20.7117 | 0.743986 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.06847 | + | 0.900983i | −0.110081 | + | 0.0323226i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.0559956 | + | 0.0359862i | 0.00200625 | + | 0.00128934i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.26143 | + | 18.0900i | −0.295617 | + | 0.647311i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.19387 | + | 1.81868i | −0.221351 | + | 0.0649944i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.717598 | − | 0.828153i | 0.0256122 | − | 0.0295580i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.81059 | + | 33.4584i | 0.171479 | + | 1.19266i | 0.875762 | + | 0.482744i | \(0.160360\pi\) |
−0.704283 | + | 0.709920i | \(0.748731\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.25690 | + | 1.45054i | −0.0447467 | + | 0.0516404i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.180252 | + | 0.115841i | 0.00640902 | + | 0.00411883i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 81.8020 | + | 24.0192i | 2.90487 | + | 0.852948i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.48126 | − | 1.70947i | −0.0525350 | − | 0.0606287i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.35293 | + | 5.02355i | 0.154189 | + | 0.177943i | 0.827589 | − | 0.561335i | \(-0.189712\pi\) |
−0.673400 | + | 0.739279i | \(0.735167\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.97819 | + | 2.04898i | 0.246871 | + | 0.0724878i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.11906 | − | 6.82978i | 0.110206 | − | 0.241318i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.388348 | 0.0137045 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.844648 | −0.0297699 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.36036 | + | 9.54785i | −0.153492 | + | 0.336100i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.7625 | + | 4.33467i | 0.519023 | + | 0.152399i | 0.530744 | − | 0.847532i | \(-0.321913\pi\) |
−0.0117206 | + | 0.999931i | \(0.503731\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −20.3472 | − | 23.4819i | −0.714487 | − | 0.824562i | 0.276145 | − | 0.961116i | \(-0.410943\pi\) |
−0.990633 | + | 0.136553i | \(0.956397\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −9.54812 | − | 11.0191i | −0.334867 | − | 0.386457i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.137628 | + | 0.0404113i | 0.00482091 | + | 0.00141555i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.0195649 | − | 0.0125736i | −0.000684490 | − | 0.000439895i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.99283 | − | 2.29985i | 0.0696352 | − | 0.0803633i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.89908 | − | 20.1636i | −0.101179 | − | 0.703713i | −0.975761 | − | 0.218837i | \(-0.929774\pi\) |
0.874583 | − | 0.484876i | \(-0.161135\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.5715 | + | 13.3542i | −0.403358 | + | 0.465500i | −0.920696 | − | 0.390281i | \(-0.872378\pi\) |
0.517338 | + | 0.855781i | \(0.326923\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 15.9012 | − | 4.66902i | 0.553610 | − | 0.162554i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −9.62837 | + | 21.0832i | −0.334811 | + | 0.733135i | −0.999907 | − | 0.0136234i | \(-0.995663\pi\) |
0.665096 | + | 0.746758i | \(0.268391\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 27.4619 | + | 17.6487i | 0.953790 | + | 0.612964i | 0.922273 | − | 0.386539i | \(-0.126330\pi\) |
0.0315175 | + | 0.999503i | \(0.489966\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.4843 | + | 3.95934i | −0.467764 | + | 0.137348i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11.6517 | −0.403707 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.23572 | − | 2.72213i | 0.146583 | − | 0.0942032i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.78522 | − | 3.21432i | 0.0962713 | − | 0.111103i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 13.2510 | + | 29.0156i | 0.457475 | + | 1.00173i | 0.988056 | + | 0.154096i | \(0.0492465\pi\) |
−0.530581 | + | 0.847634i | \(0.678026\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.6716 | 0.436952 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −21.6976 | + | 13.9442i | −0.747306 | + | 0.480265i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.36499 | + | 9.49369i | 0.0469570 | + | 0.326593i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.0400393 | − | 0.278479i | −0.00137577 | − | 0.00956867i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 9.07240 | + | 19.8658i | 0.311364 | + | 0.681792i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.2855 | − | 29.0911i | 0.455420 | − | 0.997231i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.06241 | − | 14.3444i | 0.0706157 | − | 0.491143i | −0.923567 | − | 0.383437i | \(-0.874740\pi\) |
0.994183 | − | 0.107706i | \(-0.0343505\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.00428007 | + | 0.00125674i | 0.000146375 | + | 4.29796e-5i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.65378 | − | 32.3678i | 0.158970 | − | 1.10566i | −0.741566 | − | 0.670880i | \(-0.765916\pi\) |
0.900536 | − | 0.434782i | \(-0.143174\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.1427 | − | 22.5848i | −1.19905 | − | 0.770585i | −0.220261 | − | 0.975441i | \(-0.570691\pi\) |
−0.978792 | + | 0.204856i | \(0.934327\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.08229 | + | 2.36988i | 0.0368843 | + | 0.0807654i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −2.04483 | + | 1.31413i | −0.0696069 | + | 0.0447336i | −0.574981 | − | 0.818166i | \(-0.694991\pi\) |
0.505375 | + | 0.862900i | \(0.331354\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.48900 | − | 2.19897i | 0.254633 | − | 0.0747671i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1.99730 | − | 13.8915i | 0.0678319 | − | 0.471781i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 27.8117 | + | 32.0964i | 0.943448 | + | 1.08880i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.7862 | − | 49.0126i | 0.534897 | − | 1.66073i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −2.51770 | − | 2.90558i | −0.0852112 | − | 0.0983389i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.245244 | + | 1.70571i | −0.00829075 | + | 0.0576635i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 51.5334 | − | 15.1316i | 1.74016 | − | 0.510957i | 0.751319 | − | 0.659939i | \(-0.229418\pi\) |
0.988840 | + | 0.148983i | \(0.0475999\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 17.5244 | − | 11.2622i | 0.591082 | − | 0.379865i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.4388 | + | 38.1856i | 0.587527 | + | 1.28650i | 0.936925 | + | 0.349530i | \(0.113659\pi\) |
−0.349398 | + | 0.936974i | \(0.613614\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.7318 | + | 13.3235i | 0.697679 | + | 0.448371i | 0.840808 | − | 0.541333i | \(-0.182080\pi\) |
−0.143129 | + | 0.989704i | \(0.545716\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.186731 | + | 1.29874i | −0.00627688 | + | 0.0436567i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 17.0476 | + | 5.00564i | 0.572404 | + | 0.168073i | 0.555109 | − | 0.831777i | \(-0.312676\pi\) |
0.0172947 | + | 0.999850i | \(0.494495\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.651159 | + | 4.52891i | −0.0218392 | + | 0.151895i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.41373 | − | 3.09564i | 0.0473617 | − | 0.103708i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.0216825 | − | 0.0474780i | −0.000725577 | − | 0.00158879i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.00717410 | − | 0.0498970i | −0.000239804 | − | 0.00166787i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.33099 | + | 30.1227i | 0.144607 | + | 1.00577i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −23.0971 | + | 14.8436i | −0.770332 | + | 0.495062i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.7924 | −0.359546 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.378153 | − | 0.828039i | −0.0125841 | − | 0.0275554i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.730258 | + | 0.842762i | −0.0242746 | + | 0.0280144i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −33.4344 | + | 21.4870i | −1.11017 | + | 0.713464i | −0.961331 | − | 0.275397i | \(-0.911191\pi\) |
−0.148842 | + | 0.988861i | \(0.547554\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −15.5502 | −0.515768 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.69374 | − | 0.790953i | 0.0892475 | − | 0.0262054i | −0.236804 | − | 0.971557i | \(-0.576100\pi\) |
0.326051 | + | 0.945352i | \(0.394282\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −47.3873 | − | 30.4540i | −1.56829 | − | 1.00788i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.03201 | + | 4.44947i | −0.0671761 | + | 0.147095i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 8.41827 | − | 2.47183i | 0.277996 | − | 0.0816269i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.72445 | − | 3.14418i | 0.0898713 | − | 0.103717i | −0.709033 | − | 0.705176i | \(-0.750868\pi\) |
0.798904 | + | 0.601459i | \(0.205414\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.14982 | − | 14.9523i | −0.0708391 | − | 0.492696i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −24.0736 | + | 27.7824i | −0.792393 | + | 0.914470i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −27.0828 | − | 17.4051i | −0.890477 | − | 0.572275i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 11.3245 | + | 3.32517i | 0.371945 | + | 0.109213i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −11.5607 | − | 13.3418i | −0.379295 | − | 0.437730i | 0.533716 | − | 0.845664i | \(-0.320795\pi\) |
−0.913012 | + | 0.407933i | \(0.866250\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0547601 | + | 0.0631965i | 0.00179469 | + | 0.00207118i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.9330 | − | 4.09109i | −0.456145 | − | 0.133936i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.878717 | + | 1.92412i | −0.0287371 | + | 0.0629255i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.3590 | 0.991784 | 0.495892 | − | 0.868384i | \(-0.334841\pi\) | ||||
0.495892 | + | 0.868384i | \(0.334841\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.14031 | 0.0698463 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 3.55087 | − | 7.77531i | 0.115755 | − | 0.253468i | −0.842883 | − | 0.538097i | \(-0.819143\pi\) |
0.958638 | + | 0.284629i | \(0.0918706\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −24.9987 | − | 7.34029i | −0.814070 | − | 0.239033i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.114338 | + | 0.131953i | 0.00371942 | + | 0.00429244i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.99231 | + | 11.5317i | 0.324706 | + | 0.374731i | 0.894509 | − | 0.447051i | \(-0.147526\pi\) |
−0.569802 | + | 0.821782i | \(0.692980\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.688784 | + | 0.202245i | 0.0223589 | + | 0.00656516i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −12.3804 | − | 7.95643i | −0.401463 | − | 0.258005i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 26.7761 | − | 30.9013i | 0.867364 | − | 1.00099i | −0.132588 | − | 0.991171i | \(-0.542329\pi\) |
0.999952 | − | 0.00982003i | \(-0.00312586\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.14907 | + | 7.99199i | 0.0371832 | + | 0.258615i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −14.3864 | + | 16.6028i | −0.465047 | + | 0.536693i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.09944 | + | 0.616450i | −0.0677943 | + | 0.0199062i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.36330 | + | 11.7440i | −0.173010 | + | 0.378839i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.20741 | − | 3.34660i | −0.167807 | − | 0.107843i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.51464 | + | 0.444739i | −0.0487581 | + | 0.0143167i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.1692 | −0.487809 | −0.243905 | − | 0.969799i | \(-0.578428\pi\) | ||||
−0.243905 | + | 0.969799i | \(0.578428\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.0179048 | − | 0.0115067i | 0.000575184 | − | 0.000369648i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 16.9893 | − | 19.6067i | 0.545212 | − | 0.629208i | −0.414549 | − | 0.910027i | \(-0.636061\pi\) |
0.959761 | + | 0.280819i | \(0.0906060\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.0525130 | − | 0.114987i | −0.00168349 | − | 0.00368633i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 30.6343 | 0.981084 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −41.4778 | + | 26.6561i | −1.32699 | + | 0.852806i | −0.995871 | − | 0.0907827i | \(-0.971063\pi\) |
−0.331121 | + | 0.943588i | \(0.607427\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.63643 | − | 25.2919i | −0.116221 | − | 0.808333i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.14054 | − | 14.8878i | −0.0683421 | − | 0.475330i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 7.63241 | + | 16.7126i | 0.243436 | + | 0.533051i | 0.991428 | − | 0.130658i | \(-0.0417089\pi\) |
−0.747991 | + | 0.663708i | \(0.768982\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.26292 | − | 2.76541i | 0.0402401 | − | 0.0881134i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.290744 | − | 2.02217i | 0.00925449 | − | 0.0643664i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.73458 | + | 2.56470i | 0.277743 | + | 0.0815528i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.66522 | + | 25.4922i | −0.116430 | + | 0.809785i | 0.845006 | + | 0.534756i | \(0.179597\pi\) |
−0.961436 | + | 0.275029i | \(0.911313\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.00980551 | − | 0.00630162i | −0.000311168 | − | 0.000199976i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.18420 | + | 4.78273i | 0.0692437 | + | 0.151623i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −38.4572 | + | 24.7149i | −1.21795 | + | 0.782730i | −0.981972 | − | 0.189028i | \(-0.939466\pi\) |
−0.235980 | + | 0.971758i | \(0.575830\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.34313 | + | 1.86251i | −0.200688 | + | 0.0589272i |
(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 | 804.2.q.a.241.4 | ✓ | 60 | |
67.62 | even | 11 | inner | 804.2.q.a.397.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.a.241.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
804.2.q.a.397.4 | yes | 60 | 67.62 | even | 11 | inner |