Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [368,2,Mod(93,368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(368, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("368.93");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 368 = 2^{4} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 368.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.93849479438\) |
Analytic rank: | \(0\) |
Dimension: | \(46\) |
Relative dimension: | \(23\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 93.6 | ||
Character | \(\chi\) | \(=\) | 368.93 |
Dual form | 368.2.j.e.277.6 |
$q$-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 \(\left(\mathbb{Z}/368\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) | \(277\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.924538 | − | 1.07015i | −0.653747 | − | 0.756713i | ||||
\(3\) | 0.777788 | + | 0.777788i | 0.449056 | + | 0.449056i | 0.895041 | − | 0.445984i | \(-0.147146\pi\) |
−0.445984 | + | 0.895041i | \(0.647146\pi\) | |||||||
\(4\) | −0.290458 | + | 1.97880i | −0.145229 | + | 0.989398i | ||||
\(5\) | 2.81868 | − | 2.81868i | 1.26055 | − | 1.26055i | 0.309726 | − | 0.950826i | \(-0.399763\pi\) |
0.950826 | − | 0.309726i | \(-0.100237\pi\) | |||||||
\(6\) | 0.113258 | − | 1.55145i | 0.0462373 | − | 0.633376i | ||||
\(7\) | − | 2.32052i | − | 0.877074i | −0.898713 | − | 0.438537i | \(-0.855497\pi\) | ||
0.898713 | − | 0.438537i | \(-0.144503\pi\) | |||||||
\(8\) | 2.38616 | − | 1.51864i | 0.843633 | − | 0.536920i | ||||
\(9\) | − | 1.79009i | − | 0.596697i | ||||||
\(10\) | −5.62240 | − | 0.410443i | −1.77796 | − | 0.129793i | ||||
\(11\) | −3.20492 | + | 3.20492i | −0.966320 | + | 0.966320i | −0.999451 | − | 0.0331311i | \(-0.989452\pi\) |
0.0331311 | + | 0.999451i | \(0.489452\pi\) | |||||||
\(12\) | −1.76500 | + | 1.31317i | −0.509511 | + | 0.379080i | ||||
\(13\) | 1.79361 | + | 1.79361i | 0.497457 | + | 0.497457i | 0.910646 | − | 0.413188i | \(-0.135585\pi\) |
−0.413188 | + | 0.910646i | \(0.635585\pi\) | |||||||
\(14\) | −2.48331 | + | 2.14541i | −0.663693 | + | 0.573385i | ||||
\(15\) | 4.38467 | 1.13212 | ||||||||
\(16\) | −3.83127 | − | 1.14951i | −0.957817 | − | 0.287378i | ||||
\(17\) | 1.66137 | 0.402942 | 0.201471 | − | 0.979494i | \(-0.435428\pi\) | ||||
0.201471 | + | 0.979494i | \(0.435428\pi\) | |||||||
\(18\) | −1.91567 | + | 1.65501i | −0.451528 | + | 0.390089i | ||||
\(19\) | −3.17012 | − | 3.17012i | −0.727276 | − | 0.727276i | 0.242800 | − | 0.970076i | \(-0.421934\pi\) |
−0.970076 | + | 0.242800i | \(0.921934\pi\) | |||||||
\(20\) | 4.75889 | + | 6.39630i | 1.06412 | + | 1.43026i | ||||
\(21\) | 1.80487 | − | 1.80487i | 0.393856 | − | 0.393856i | ||||
\(22\) | 6.39283 | + | 0.466685i | 1.36296 | + | 0.0994976i | ||||
\(23\) | 1.00000i | 0.208514i | ||||||||
\(24\) | 3.03710 | + | 0.674744i | 0.619946 | + | 0.137732i | ||||
\(25\) | − | 10.8899i | − | 2.17798i | ||||||
\(26\) | 0.261177 | − | 3.57769i | 0.0512209 | − | 0.701644i | ||||
\(27\) | 3.72568 | − | 3.72568i | 0.717007 | − | 0.717007i | ||||
\(28\) | 4.59184 | + | 0.674013i | 0.867776 | + | 0.127376i | ||||
\(29\) | 1.82665 | + | 1.82665i | 0.339200 | + | 0.339200i | 0.856066 | − | 0.516866i | \(-0.172902\pi\) |
−0.516866 | + | 0.856066i | \(0.672902\pi\) | |||||||
\(30\) | −4.05380 | − | 4.69227i | −0.740119 | − | 0.856688i | ||||
\(31\) | 0.296491 | 0.0532513 | 0.0266257 | − | 0.999645i | \(-0.491524\pi\) | ||||
0.0266257 | + | 0.999645i | \(0.491524\pi\) | |||||||
\(32\) | 2.31200 | + | 5.16281i | 0.408708 | + | 0.912665i | ||||
\(33\) | −4.98550 | −0.867864 | ||||||||
\(34\) | −1.53600 | − | 1.77792i | −0.263422 | − | 0.304911i | ||||
\(35\) | −6.54080 | − | 6.54080i | −1.10560 | − | 1.10560i | ||||
\(36\) | 3.54222 | + | 0.519945i | 0.590371 | + | 0.0866576i | ||||
\(37\) | 4.66394 | − | 4.66394i | 0.766747 | − | 0.766747i | −0.210785 | − | 0.977532i | \(-0.567602\pi\) |
0.977532 | + | 0.210785i | \(0.0676021\pi\) | |||||||
\(38\) | −0.461618 | + | 6.32342i | −0.0748844 | + | 1.02579i | ||||
\(39\) | 2.79009i | 0.446773i | ||||||||
\(40\) | 2.44525 | − | 11.0064i | 0.386628 | − | 1.74026i | ||||
\(41\) | 7.17636i | 1.12076i | 0.828236 | + | 0.560380i | \(0.189345\pi\) | ||||
−0.828236 | + | 0.560380i | \(0.810655\pi\) | |||||||
\(42\) | −3.60017 | − | 0.262817i | −0.555518 | − | 0.0405536i | ||||
\(43\) | −2.78473 | + | 2.78473i | −0.424667 | + | 0.424667i | −0.886807 | − | 0.462140i | \(-0.847082\pi\) |
0.462140 | + | 0.886807i | \(0.347082\pi\) | |||||||
\(44\) | −5.41099 | − | 7.27278i | −0.815738 | − | 1.09641i | ||||
\(45\) | −5.04569 | − | 5.04569i | −0.752167 | − | 0.752167i | ||||
\(46\) | 1.07015 | − | 0.924538i | 0.157786 | − | 0.136316i | ||||
\(47\) | 3.83110 | 0.558823 | 0.279412 | − | 0.960171i | \(-0.409861\pi\) | ||||
0.279412 | + | 0.960171i | \(0.409861\pi\) | |||||||
\(48\) | −2.08584 | − | 3.87399i | −0.301065 | − | 0.559163i | ||||
\(49\) | 1.61518 | 0.230741 | ||||||||
\(50\) | −11.6539 | + | 10.0681i | −1.64811 | + | 1.42385i | ||||
\(51\) | 1.29220 | + | 1.29220i | 0.180944 | + | 0.180944i | ||||
\(52\) | −4.07015 | + | 3.02822i | −0.564428 | + | 0.419938i | ||||
\(53\) | −9.81496 | + | 9.81496i | −1.34819 | + | 1.34819i | −0.460560 | + | 0.887628i | \(0.652351\pi\) |
−0.887628 | + | 0.460560i | \(0.847649\pi\) | |||||||
\(54\) | −7.43158 | − | 0.542515i | −1.01131 | − | 0.0738270i | ||||
\(55\) | 18.0673i | 2.43619i | ||||||||
\(56\) | −3.52403 | − | 5.53712i | −0.470919 | − | 0.739929i | ||||
\(57\) | − | 4.93137i | − | 0.653176i | ||||||
\(58\) | 0.265988 | − | 3.64360i | 0.0349259 | − | 0.478428i | ||||
\(59\) | 3.74914 | − | 3.74914i | 0.488096 | − | 0.488096i | −0.419609 | − | 0.907705i | \(-0.637833\pi\) |
0.907705 | + | 0.419609i | \(0.137833\pi\) | |||||||
\(60\) | −1.27356 | + | 8.67637i | −0.164416 | + | 1.12011i | ||||
\(61\) | 0.614784 | + | 0.614784i | 0.0787150 | + | 0.0787150i | 0.745368 | − | 0.666653i | \(-0.232274\pi\) |
−0.666653 | + | 0.745368i | \(0.732274\pi\) | |||||||
\(62\) | −0.274117 | − | 0.317291i | −0.0348129 | − | 0.0402960i | ||||
\(63\) | −4.15394 | −0.523347 | ||||||||
\(64\) | 3.38747 | − | 7.24742i | 0.423434 | − | 0.905927i | ||||
\(65\) | 10.1112 | 1.25414 | ||||||||
\(66\) | 4.60929 | + | 5.33525i | 0.567364 | + | 0.656724i | ||||
\(67\) | 9.89515 | + | 9.89515i | 1.20888 | + | 1.20888i | 0.971388 | + | 0.237496i | \(0.0763267\pi\) |
0.237496 | + | 0.971388i | \(0.423673\pi\) | |||||||
\(68\) | −0.482558 | + | 3.28752i | −0.0585188 | + | 0.398670i | ||||
\(69\) | −0.777788 | + | 0.777788i | −0.0936347 | + | 0.0936347i | ||||
\(70\) | −0.952441 | + | 13.0469i | −0.113838 | + | 1.55940i | ||||
\(71\) | − | 2.83241i | − | 0.336145i | −0.985775 | − | 0.168073i | \(-0.946246\pi\) | ||
0.985775 | − | 0.168073i | \(-0.0537543\pi\) | |||||||
\(72\) | −2.71850 | − | 4.27143i | −0.320378 | − | 0.503393i | ||||
\(73\) | − | 10.7672i | − | 1.26021i | −0.776510 | − | 0.630105i | \(-0.783012\pi\) | ||
0.776510 | − | 0.630105i | \(-0.216988\pi\) | |||||||
\(74\) | −9.30312 | − | 0.679141i | −1.08147 | − | 0.0789485i | ||||
\(75\) | 8.47004 | − | 8.47004i | 0.978036 | − | 0.978036i | ||||
\(76\) | 7.19381 | − | 5.35224i | 0.825187 | − | 0.613944i | ||||
\(77\) | 7.43708 | + | 7.43708i | 0.847534 | + | 0.847534i | ||||
\(78\) | 2.98583 | − | 2.57955i | 0.338079 | − | 0.292076i | ||||
\(79\) | −6.74460 | −0.758826 | −0.379413 | − | 0.925227i | \(-0.623874\pi\) | ||||
−0.379413 | + | 0.925227i | \(0.623874\pi\) | |||||||
\(80\) | −14.0392 | + | 7.55901i | −1.56963 | + | 0.845123i | ||||
\(81\) | 0.425305 | 0.0472561 | ||||||||
\(82\) | 7.67981 | − | 6.63482i | 0.848093 | − | 0.732694i | ||||
\(83\) | 4.88698 | + | 4.88698i | 0.536416 | + | 0.536416i | 0.922474 | − | 0.386058i | \(-0.126164\pi\) |
−0.386058 | + | 0.922474i | \(0.626164\pi\) | |||||||
\(84\) | 3.04724 | + | 4.09572i | 0.332481 | + | 0.446879i | ||||
\(85\) | 4.68287 | − | 4.68287i | 0.507929 | − | 0.507929i | ||||
\(86\) | 5.55468 | + | 0.405499i | 0.598976 | + | 0.0437261i | ||||
\(87\) | 2.84149i | 0.304640i | ||||||||
\(88\) | −2.78032 | + | 12.5146i | −0.296383 | + | 1.33406i | ||||
\(89\) | 6.31401i | 0.669284i | 0.942345 | + | 0.334642i | \(0.108615\pi\) | ||||
−0.942345 | + | 0.334642i | \(0.891385\pi\) | |||||||
\(90\) | −0.734730 | + | 10.0646i | −0.0774473 | + | 1.06090i | ||||
\(91\) | 4.16210 | − | 4.16210i | 0.436307 | − | 0.436307i | ||||
\(92\) | −1.97880 | − | 0.290458i | −0.206304 | − | 0.0302823i | ||||
\(93\) | 0.230607 | + | 0.230607i | 0.0239128 | + | 0.0239128i | ||||
\(94\) | −3.54200 | − | 4.09987i | −0.365329 | − | 0.422869i | ||||
\(95\) | −17.8711 | −1.83354 | ||||||||
\(96\) | −2.21733 | + | 5.81382i | −0.226305 | + | 0.593371i | ||||
\(97\) | −12.7651 | −1.29610 | −0.648049 | − | 0.761598i | \(-0.724415\pi\) | ||||
−0.648049 | + | 0.761598i | \(0.724415\pi\) | |||||||
\(98\) | −1.49330 | − | 1.72849i | −0.150846 | − | 0.174604i | ||||
\(99\) | 5.73710 | + | 5.73710i | 0.576600 | + | 0.576600i | ||||
\(100\) | 21.5489 | + | 3.16306i | 2.15489 | + | 0.316306i | ||||
\(101\) | 0.885037 | − | 0.885037i | 0.0880645 | − | 0.0880645i | −0.661702 | − | 0.749767i | \(-0.730166\pi\) |
0.749767 | + | 0.661702i | \(0.230166\pi\) | |||||||
\(102\) | 0.188163 | − | 2.57753i | 0.0186310 | − | 0.255214i | ||||
\(103\) | 18.7525i | 1.84774i | 0.382708 | + | 0.923869i | \(0.374991\pi\) | ||||
−0.382708 | + | 0.923869i | \(0.625009\pi\) | |||||||
\(104\) | 7.00367 | + | 1.55598i | 0.686766 | + | 0.152577i | ||||
\(105\) | − | 10.1747i | − | 0.992951i | ||||||
\(106\) | 19.5778 | + | 1.42921i | 1.90157 | + | 0.138817i | ||||
\(107\) | −8.45618 | + | 8.45618i | −0.817489 | + | 0.817489i | −0.985744 | − | 0.168254i | \(-0.946187\pi\) |
0.168254 | + | 0.985744i | \(0.446187\pi\) | |||||||
\(108\) | 6.29020 | + | 8.45451i | 0.605275 | + | 0.813535i | ||||
\(109\) | 14.1693 | + | 14.1693i | 1.35717 | + | 1.35717i | 0.877382 | + | 0.479793i | \(0.159288\pi\) |
0.479793 | + | 0.877382i | \(0.340712\pi\) | |||||||
\(110\) | 19.3348 | − | 16.7039i | 1.84350 | − | 1.59265i | ||||
\(111\) | 7.25512 | 0.688625 | ||||||||
\(112\) | −2.66747 | + | 8.89054i | −0.252052 | + | 0.840077i | ||||
\(113\) | −15.1806 | −1.42807 | −0.714034 | − | 0.700111i | \(-0.753134\pi\) | ||||
−0.714034 | + | 0.700111i | \(0.753134\pi\) | |||||||
\(114\) | −5.27732 | + | 4.55924i | −0.494266 | + | 0.427012i | ||||
\(115\) | 2.81868 | + | 2.81868i | 0.262843 | + | 0.262843i | ||||
\(116\) | −4.14513 | + | 3.08400i | −0.384866 | + | 0.286342i | ||||
\(117\) | 3.21072 | − | 3.21072i | 0.296831 | − | 0.296831i | ||||
\(118\) | −7.47838 | − | 0.545932i | −0.688440 | − | 0.0502571i | ||||
\(119\) | − | 3.85525i | − | 0.353410i | ||||||
\(120\) | 10.4625 | − | 6.65873i | 0.955092 | − | 0.607856i | ||||
\(121\) | − | 9.54303i | − | 0.867548i | ||||||
\(122\) | 0.0895220 | − | 1.22631i | 0.00810494 | − | 0.111024i | ||||
\(123\) | −5.58169 | + | 5.58169i | −0.503284 | + | 0.503284i | ||||
\(124\) | −0.0861180 | + | 0.586695i | −0.00773362 | + | 0.0526867i | ||||
\(125\) | −16.6018 | − | 16.6018i | −1.48491 | − | 1.48491i | ||||
\(126\) | 3.84048 | + | 4.44536i | 0.342137 | + | 0.396024i | ||||
\(127\) | −9.14635 | −0.811608 | −0.405804 | − | 0.913960i | \(-0.633008\pi\) | ||||
−0.405804 | + | 0.913960i | \(0.633008\pi\) | |||||||
\(128\) | −10.8877 | + | 3.07540i | −0.962345 | + | 0.271829i | ||||
\(129\) | −4.33186 | −0.381399 | ||||||||
\(130\) | −9.34820 | − | 10.8205i | −0.819891 | − | 0.949025i | ||||
\(131\) | 9.87952 | + | 9.87952i | 0.863178 | + | 0.863178i | 0.991706 | − | 0.128528i | \(-0.0410253\pi\) |
−0.128528 | + | 0.991706i | \(0.541025\pi\) | |||||||
\(132\) | 1.44808 | − | 9.86529i | 0.126039 | − | 0.858663i | ||||
\(133\) | −7.35633 | + | 7.35633i | −0.637875 | + | 0.637875i | ||||
\(134\) | 1.44088 | − | 19.7378i | 0.124473 | − | 1.70508i | ||||
\(135\) | − | 21.0030i | − | 1.80765i | ||||||
\(136\) | 3.96429 | − | 2.52302i | 0.339935 | − | 0.216348i | ||||
\(137\) | − | 10.3676i | − | 0.885763i | −0.896580 | − | 0.442881i | \(-0.853956\pi\) | ||
0.896580 | − | 0.442881i | \(-0.146044\pi\) | |||||||
\(138\) | 1.55145 | + | 0.113258i | 0.132068 | + | 0.00964115i | ||||
\(139\) | 9.13155 | − | 9.13155i | 0.774528 | − | 0.774528i | −0.204367 | − | 0.978894i | \(-0.565513\pi\) |
0.978894 | + | 0.204367i | \(0.0655135\pi\) | |||||||
\(140\) | 14.8427 | − | 11.0431i | 1.25444 | − | 0.933312i | ||||
\(141\) | 2.97979 | + | 2.97979i | 0.250943 | + | 0.250943i | ||||
\(142\) | −3.03111 | + | 2.61867i | −0.254365 | + | 0.219754i | ||||
\(143\) | −11.4967 | −0.961405 | ||||||||
\(144\) | −2.05773 | + | 6.85832i | −0.171478 | + | 0.571526i | ||||
\(145\) | 10.2975 | 0.855159 | ||||||||
\(146\) | −11.5226 | + | 9.95473i | −0.953617 | + | 0.823859i | ||||
\(147\) | 1.25627 | + | 1.25627i | 0.103616 | + | 0.103616i | ||||
\(148\) | 7.87431 | + | 10.5837i | 0.647264 | + | 0.869972i | ||||
\(149\) | −13.2715 | + | 13.2715i | −1.08724 | + | 1.08724i | −0.0914284 | + | 0.995812i | \(0.529143\pi\) |
−0.995812 | + | 0.0914284i | \(0.970857\pi\) | |||||||
\(150\) | −16.8951 | − | 1.23337i | −1.37948 | − | 0.100704i | ||||
\(151\) | 10.6562i | 0.867192i | 0.901107 | + | 0.433596i | \(0.142755\pi\) | ||||
−0.901107 | + | 0.433596i | \(0.857245\pi\) | |||||||
\(152\) | −12.3787 | − | 2.75013i | −1.00404 | − | 0.223065i | ||||
\(153\) | − | 2.97401i | − | 0.240434i | ||||||
\(154\) | 1.08295 | − | 14.8347i | 0.0872668 | − | 1.19541i | ||||
\(155\) | 0.835712 | − | 0.835712i | 0.0671260 | − | 0.0671260i | ||||
\(156\) | −5.52103 | − | 0.810404i | −0.442036 | − | 0.0648842i | ||||
\(157\) | −1.22420 | − | 1.22420i | −0.0977020 | − | 0.0977020i | 0.656566 | − | 0.754268i | \(-0.272008\pi\) |
−0.754268 | + | 0.656566i | \(0.772008\pi\) | |||||||
\(158\) | 6.23564 | + | 7.21775i | 0.496081 | + | 0.574214i | ||||
\(159\) | −15.2679 | −1.21083 | ||||||||
\(160\) | 21.0691 | + | 8.03553i | 1.66566 | + | 0.635265i | ||||
\(161\) | 2.32052 | 0.182883 | ||||||||
\(162\) | −0.393211 | − | 0.455142i | −0.0308936 | − | 0.0357593i | ||||
\(163\) | −3.02940 | − | 3.02940i | −0.237281 | − | 0.237281i | 0.578443 | − | 0.815723i | \(-0.303661\pi\) |
−0.815723 | + | 0.578443i | \(0.803661\pi\) | |||||||
\(164\) | −14.2006 | − | 2.08443i | −1.10888 | − | 0.162767i | ||||
\(165\) | −14.0525 | + | 14.0525i | −1.09399 | + | 1.09399i | ||||
\(166\) | 0.711619 | − | 9.74802i | 0.0552324 | − | 0.756593i | ||||
\(167\) | − | 7.88807i | − | 0.610397i | −0.952289 | − | 0.305199i | \(-0.901277\pi\) | ||
0.952289 | − | 0.305199i | \(-0.0987229\pi\) | |||||||
\(168\) | 1.56576 | − | 7.04766i | 0.120801 | − | 0.543739i | ||||
\(169\) | − | 6.56595i | − | 0.505073i | ||||||
\(170\) | −9.34089 | − | 0.681898i | −0.716414 | − | 0.0522992i | ||||
\(171\) | −5.67481 | + | 5.67481i | −0.433963 | + | 0.433963i | ||||
\(172\) | −4.70157 | − | 6.31926i | −0.358491 | − | 0.481839i | ||||
\(173\) | 12.5070 | + | 12.5070i | 0.950886 | + | 0.950886i | 0.998849 | − | 0.0479627i | \(-0.0152729\pi\) |
−0.0479627 | + | 0.998849i | \(0.515273\pi\) | |||||||
\(174\) | 3.04083 | − | 2.62707i | 0.230525 | − | 0.199158i | ||||
\(175\) | −25.2703 | −1.91025 | ||||||||
\(176\) | 15.9630 | − | 8.59482i | 1.20326 | − | 0.647859i | ||||
\(177\) | 5.83207 | 0.438365 | ||||||||
\(178\) | 6.75696 | − | 5.83755i | 0.506456 | − | 0.437543i | ||||
\(179\) | −10.0110 | − | 10.0110i | −0.748258 | − | 0.748258i | 0.225894 | − | 0.974152i | \(-0.427470\pi\) |
−0.974152 | + | 0.225894i | \(0.927470\pi\) | |||||||
\(180\) | 11.4500 | − | 8.51883i | 0.853429 | − | 0.634956i | ||||
\(181\) | 8.59528 | − | 8.59528i | 0.638882 | − | 0.638882i | −0.311397 | − | 0.950280i | \(-0.600797\pi\) |
0.950280 | + | 0.311397i | \(0.100797\pi\) | |||||||
\(182\) | −8.30211 | − | 0.606066i | −0.615394 | − | 0.0449246i | ||||
\(183\) | 0.956344i | 0.0706950i | ||||||||
\(184\) | 1.51864 | + | 2.38616i | 0.111956 | + | 0.175910i | ||||
\(185\) | − | 26.2923i | − | 1.93305i | ||||||
\(186\) | 0.0335799 | − | 0.459990i | 0.00246220 | − | 0.0337281i | ||||
\(187\) | −5.32457 | + | 5.32457i | −0.389371 | + | 0.389371i | ||||
\(188\) | −1.11277 | + | 7.58097i | −0.0811572 | + | 0.552899i | ||||
\(189\) | −8.64551 | − | 8.64551i | −0.628868 | − | 0.628868i | ||||
\(190\) | 16.5225 | + | 19.1248i | 1.19867 | + | 1.38746i | ||||
\(191\) | −4.68980 | −0.339342 | −0.169671 | − | 0.985501i | \(-0.554271\pi\) | ||||
−0.169671 | + | 0.985501i | \(0.554271\pi\) | |||||||
\(192\) | 8.27169 | − | 3.00222i | 0.596958 | − | 0.216666i | ||||
\(193\) | −7.89668 | −0.568415 | −0.284208 | − | 0.958763i | \(-0.591731\pi\) | ||||
−0.284208 | + | 0.958763i | \(0.591731\pi\) | |||||||
\(194\) | 11.8018 | + | 13.6606i | 0.847321 | + | 0.980775i | ||||
\(195\) | 7.86438 | + | 7.86438i | 0.563180 | + | 0.563180i | ||||
\(196\) | −0.469142 | + | 3.19612i | −0.0335102 | + | 0.228294i | ||||
\(197\) | 7.73490 | − | 7.73490i | 0.551089 | − | 0.551089i | −0.375666 | − | 0.926755i | \(-0.622586\pi\) |
0.926755 | + | 0.375666i | \(0.122586\pi\) | |||||||
\(198\) | 0.835409 | − | 11.4437i | 0.0593699 | − | 0.813271i | ||||
\(199\) | − | 13.1324i | − | 0.930934i | −0.885065 | − | 0.465467i | \(-0.845886\pi\) | ||
0.885065 | − | 0.465467i | \(-0.154114\pi\) | |||||||
\(200\) | −16.5378 | − | 25.9850i | −1.16940 | − | 1.83742i | ||||
\(201\) | 15.3927i | 1.08571i | ||||||||
\(202\) | −1.76538 | − | 0.128875i | −0.124211 | − | 0.00906760i | ||||
\(203\) | 4.23878 | − | 4.23878i | 0.297504 | − | 0.297504i | ||||
\(204\) | −2.93232 | + | 2.18166i | −0.205303 | + | 0.152747i | ||||
\(205\) | 20.2279 | + | 20.2279i | 1.41278 | + | 1.41278i | ||||
\(206\) | 20.0681 | − | 17.3374i | 1.39821 | − | 1.20795i | ||||
\(207\) | 1.79009 | 0.124420 | ||||||||
\(208\) | −4.81002 | − | 8.93357i | −0.333515 | − | 0.619431i | ||||
\(209\) | 20.3200 | 1.40556 | ||||||||
\(210\) | −10.8885 | + | 9.40692i | −0.751379 | + | 0.649139i | ||||
\(211\) | −14.0513 | − | 14.0513i | −0.967328 | − | 0.967328i | 0.0321547 | − | 0.999483i | \(-0.489763\pi\) |
−0.999483 | + | 0.0321547i | \(0.989763\pi\) | |||||||
\(212\) | −16.5710 | − | 22.2726i | −1.13810 | − | 1.52969i | ||||
\(213\) | 2.20302 | − | 2.20302i | 0.150948 | − | 0.150948i | ||||
\(214\) | 16.8675 | + | 1.23135i | 1.15304 | + | 0.0841732i | ||||
\(215\) | 15.6985i | 1.07063i | ||||||||
\(216\) | 3.23209 | − | 14.5480i | 0.219916 | − | 0.989866i | ||||
\(217\) | − | 0.688013i | − | 0.0467054i | ||||||
\(218\) | 2.06327 | − | 28.2634i | 0.139742 | − | 1.91424i | ||||
\(219\) | 8.37464 | − | 8.37464i | 0.565905 | − | 0.565905i | ||||
\(220\) | −35.7515 | − | 5.24778i | −2.41036 | − | 0.353805i | ||||
\(221\) | 2.97985 | + | 2.97985i | 0.200446 | + | 0.200446i | ||||
\(222\) | −6.70763 | − | 7.76409i | −0.450187 | − | 0.521091i | ||||
\(223\) | 29.3004 | 1.96210 | 0.981048 | − | 0.193762i | \(-0.0620691\pi\) | ||||
0.981048 | + | 0.193762i | \(0.0620691\pi\) | |||||||
\(224\) | 11.9804 | − | 5.36504i | 0.800475 | − | 0.358467i | ||||
\(225\) | −19.4939 | −1.29959 | ||||||||
\(226\) | 14.0350 | + | 16.2456i | 0.933596 | + | 1.08064i | ||||
\(227\) | 3.28456 | + | 3.28456i | 0.218004 | + | 0.218004i | 0.807657 | − | 0.589653i | \(-0.200736\pi\) |
−0.589653 | + | 0.807657i | \(0.700736\pi\) | |||||||
\(228\) | 9.75817 | + | 1.43235i | 0.646251 | + | 0.0948599i | ||||
\(229\) | 8.81201 | − | 8.81201i | 0.582314 | − | 0.582314i | −0.353225 | − | 0.935539i | \(-0.614915\pi\) |
0.935539 | + | 0.353225i | \(0.114915\pi\) | |||||||
\(230\) | 0.410443 | − | 5.62240i | 0.0270638 | − | 0.370730i | ||||
\(231\) | 11.5690i | 0.761181i | ||||||||
\(232\) | 7.13269 | + | 1.58465i | 0.468284 | + | 0.104037i | ||||
\(233\) | 21.3237i | 1.39696i | 0.715629 | + | 0.698481i | \(0.246140\pi\) | ||||
−0.715629 | + | 0.698481i | \(0.753860\pi\) | |||||||
\(234\) | −6.40440 | − | 0.467530i | −0.418668 | − | 0.0305634i | ||||
\(235\) | 10.7986 | − | 10.7986i | 0.704426 | − | 0.704426i | ||||
\(236\) | 6.32982 | + | 8.50775i | 0.412036 | + | 0.553807i | ||||
\(237\) | −5.24587 | − | 5.24587i | −0.340756 | − | 0.340756i | ||||
\(238\) | −4.12571 | + | 3.56432i | −0.267430 | + | 0.231041i | ||||
\(239\) | −3.64798 | −0.235968 | −0.117984 | − | 0.993015i | \(-0.537643\pi\) | ||||
−0.117984 | + | 0.993015i | \(0.537643\pi\) | |||||||
\(240\) | −16.7989 | − | 5.04024i | −1.08436 | − | 0.325346i | ||||
\(241\) | −21.7242 | −1.39938 | −0.699689 | − | 0.714448i | \(-0.746678\pi\) | ||||
−0.699689 | + | 0.714448i | \(0.746678\pi\) | |||||||
\(242\) | −10.2125 | + | 8.82290i | −0.656485 | + | 0.567157i | ||||
\(243\) | −10.8462 | − | 10.8462i | −0.695786 | − | 0.695786i | ||||
\(244\) | −1.39510 | + | 1.03796i | −0.0893122 | + | 0.0664488i | ||||
\(245\) | 4.55269 | − | 4.55269i | 0.290860 | − | 0.290860i | ||||
\(246\) | 11.1338 | + | 0.812779i | 0.709862 | + | 0.0518209i | ||||
\(247\) | − | 11.3719i | − | 0.723577i | ||||||
\(248\) | 0.707473 | − | 0.450262i | 0.0449246 | − | 0.0285917i | ||||
\(249\) | 7.60208i | 0.481762i | ||||||||
\(250\) | −2.41747 | + | 33.1154i | −0.152894 | + | 2.09440i | ||||
\(251\) | 19.6363 | − | 19.6363i | 1.23943 | − | 1.23943i | 0.279201 | − | 0.960233i | \(-0.409930\pi\) |
0.960233 | − | 0.279201i | \(-0.0900697\pi\) | |||||||
\(252\) | 1.20654 | − | 8.21980i | 0.0760051 | − | 0.517799i | ||||
\(253\) | −3.20492 | − | 3.20492i | −0.201492 | − | 0.201492i | ||||
\(254\) | 8.45616 | + | 9.78800i | 0.530586 | + | 0.614154i | ||||
\(255\) | 7.28457 | 0.456178 | ||||||||
\(256\) | 13.3572 | + | 8.80818i | 0.834828 | + | 0.550512i | ||||
\(257\) | 2.66315 | 0.166123 | 0.0830615 | − | 0.996544i | \(-0.473530\pi\) | ||||
0.0830615 | + | 0.996544i | \(0.473530\pi\) | |||||||
\(258\) | 4.00497 | + | 4.63576i | 0.249339 | + | 0.288610i | ||||
\(259\) | −10.8228 | − | 10.8228i | −0.672494 | − | 0.672494i | ||||
\(260\) | −2.93688 | + | 20.0080i | −0.182137 | + | 1.24084i | ||||
\(261\) | 3.26987 | − | 3.26987i | 0.202400 | − | 0.202400i | ||||
\(262\) | 1.43861 | − | 19.7066i | 0.0888776 | − | 1.21748i | ||||
\(263\) | − | 4.93186i | − | 0.304112i | −0.988372 | − | 0.152056i | \(-0.951411\pi\) | ||
0.988372 | − | 0.152056i | \(-0.0485894\pi\) | |||||||
\(264\) | −11.8962 | + | 7.57117i | −0.732159 | + | 0.465974i | ||||
\(265\) | 55.3305i | 3.39892i | ||||||||
\(266\) | 14.6736 | + | 1.07119i | 0.899697 | + | 0.0656791i | ||||
\(267\) | −4.91096 | + | 4.91096i | −0.300546 | + | 0.300546i | ||||
\(268\) | −22.4546 | + | 16.7064i | −1.37163 | + | 1.02050i | ||||
\(269\) | 14.0004 | + | 14.0004i | 0.853621 | + | 0.853621i | 0.990577 | − | 0.136956i | \(-0.0437319\pi\) |
−0.136956 | + | 0.990577i | \(0.543732\pi\) | |||||||
\(270\) | −22.4764 | + | 19.4181i | −1.36787 | + | 1.18175i | ||||
\(271\) | −0.438291 | −0.0266243 | −0.0133121 | − | 0.999911i | \(-0.504238\pi\) | ||||
−0.0133121 | + | 0.999911i | \(0.504238\pi\) | |||||||
\(272\) | −6.36516 | − | 1.90977i | −0.385945 | − | 0.115797i | ||||
\(273\) | 6.47447 | 0.391853 | ||||||||
\(274\) | −11.0949 | + | 9.58523i | −0.670268 | + | 0.579065i | ||||
\(275\) | 34.9013 | + | 34.9013i | 2.10463 | + | 2.10463i | ||||
\(276\) | −1.31317 | − | 1.76500i | −0.0790436 | − | 0.106240i | ||||
\(277\) | −12.2450 | + | 12.2450i | −0.735728 | + | 0.735728i | −0.971748 | − | 0.236020i | \(-0.924157\pi\) |
0.236020 | + | 0.971748i | \(0.424157\pi\) | |||||||
\(278\) | −18.2146 | − | 1.32969i | −1.09244 | − | 0.0797497i | ||||
\(279\) | − | 0.530745i | − | 0.0317749i | ||||||
\(280\) | −25.5405 | − | 5.67425i | −1.52634 | − | 0.339102i | ||||
\(281\) | 20.3210i | 1.21225i | 0.795371 | + | 0.606123i | \(0.207276\pi\) | ||||
−0.795371 | + | 0.606123i | \(0.792724\pi\) | |||||||
\(282\) | 0.433902 | − | 5.94375i | 0.0258385 | − | 0.353945i | ||||
\(283\) | 5.09281 | − | 5.09281i | 0.302736 | − | 0.302736i | −0.539347 | − | 0.842083i | \(-0.681329\pi\) |
0.842083 | + | 0.539347i | \(0.181329\pi\) | |||||||
\(284\) | 5.60476 | + | 0.822695i | 0.332582 | + | 0.0488180i | ||||
\(285\) | −13.8999 | − | 13.8999i | −0.823362 | − | 0.823362i | ||||
\(286\) | 10.6292 | + | 12.3033i | 0.628516 | + | 0.727508i | ||||
\(287\) | 16.6529 | 0.982990 | ||||||||
\(288\) | 9.24191 | − | 4.13869i | 0.544584 | − | 0.243875i | ||||
\(289\) | −14.2398 | −0.837638 | ||||||||
\(290\) | −9.52041 | − | 11.0199i | −0.559058 | − | 0.647110i | ||||
\(291\) | −9.92854 | − | 9.92854i | −0.582021 | − | 0.582021i | ||||
\(292\) | 21.3062 | + | 3.12743i | 1.24685 | + | 0.183019i | ||||
\(293\) | −23.7791 | + | 23.7791i | −1.38919 | + | 1.38919i | −0.562168 | + | 0.827023i | \(0.690032\pi\) |
−0.827023 | + | 0.562168i | \(0.809968\pi\) | |||||||
\(294\) | 0.182932 | − | 2.50587i | 0.0106688 | − | 0.146146i | ||||
\(295\) | − | 21.1352i | − | 1.23054i | ||||||
\(296\) | 4.04604 | − | 18.2117i | 0.235172 | − | 1.05853i | ||||
\(297\) | 23.8810i | 1.38572i | ||||||||
\(298\) | 26.4725 | + | 1.93253i | 1.53351 | + | 0.111948i | ||||
\(299\) | −1.79361 | + | 1.79361i | −0.103727 | + | 0.103727i | ||||
\(300\) | 14.3003 | + | 19.2207i | 0.825628 | + | 1.10971i | ||||
\(301\) | 6.46202 | + | 6.46202i | 0.372465 | + | 0.372465i | ||||
\(302\) | 11.4038 | − | 9.85210i | 0.656215 | − | 0.566924i | ||||
\(303\) | 1.37674 | 0.0790918 | ||||||||
\(304\) | 8.50149 | + | 15.7897i | 0.487594 | + | 0.905601i | ||||
\(305\) | 3.46576 | 0.198449 | ||||||||
\(306\) | −3.18264 | + | 2.74958i | −0.181940 | + | 0.157183i | ||||
\(307\) | −17.7076 | − | 17.7076i | −1.01063 | − | 1.01063i | −0.999943 | − | 0.0106845i | \(-0.996599\pi\) |
−0.0106845 | − | 0.999943i | \(-0.503401\pi\) | |||||||
\(308\) | −16.8766 | + | 12.5563i | −0.961635 | + | 0.715463i | ||||
\(309\) | −14.5855 | + | 14.5855i | −0.829739 | + | 0.829739i | ||||
\(310\) | −1.66699 | − | 0.121692i | −0.0946786 | − | 0.00691167i | ||||
\(311\) | − | 9.95651i | − | 0.564582i | −0.959329 | − | 0.282291i | \(-0.908906\pi\) | ||
0.959329 | − | 0.282291i | \(-0.0910943\pi\) | |||||||
\(312\) | 4.23714 | + | 6.65760i | 0.239881 | + | 0.376912i | ||||
\(313\) | − | 34.1218i | − | 1.92868i | −0.264671 | − | 0.964339i | \(-0.585263\pi\) | ||
0.264671 | − | 0.964339i | \(-0.414737\pi\) | |||||||
\(314\) | −0.178263 | + | 2.44191i | −0.0100599 | + | 0.137805i | ||||
\(315\) | −11.7086 | + | 11.7086i | −0.659707 | + | 0.659707i | ||||
\(316\) | 1.95902 | − | 13.3462i | 0.110203 | − | 0.750781i | ||||
\(317\) | 6.89442 | + | 6.89442i | 0.387229 | + | 0.387229i | 0.873698 | − | 0.486469i | \(-0.161715\pi\) |
−0.486469 | + | 0.873698i | \(0.661715\pi\) | |||||||
\(318\) | 14.1158 | + | 16.3390i | 0.791574 | + | 0.916247i | ||||
\(319\) | −11.7085 | −0.655552 | ||||||||
\(320\) | −10.8799 | − | 29.9763i | −0.608207 | − | 1.67573i | ||||
\(321\) | −13.1542 | −0.734198 | ||||||||
\(322\) | −2.14541 | − | 2.48331i | −0.119559 | − | 0.138390i | ||||
\(323\) | −5.26675 | − | 5.26675i | −0.293050 | − | 0.293050i | ||||
\(324\) | −0.123533 | + | 0.841592i | −0.00686295 | + | 0.0467551i | ||||
\(325\) | 19.5322 | − | 19.5322i | 1.08345 | − | 1.08345i | ||||
\(326\) | −0.441126 | + | 6.04271i | −0.0244317 | + | 0.334675i | ||||
\(327\) | 22.0415i | 1.21890i | ||||||||
\(328\) | 10.8983 | + | 17.1239i | 0.601758 | + | 0.945510i | ||||
\(329\) | − | 8.89015i | − | 0.490130i | ||||||
\(330\) | 28.0305 | + | 2.04626i | 1.54303 | + | 0.112643i | ||||
\(331\) | 21.5926 | − | 21.5926i | 1.18684 | − | 1.18684i | 0.208901 | − | 0.977937i | \(-0.433011\pi\) |
0.977937 | − | 0.208901i | \(-0.0669888\pi\) | |||||||
\(332\) | −11.0898 | + | 8.25088i | −0.608632 | + | 0.452826i | ||||
\(333\) | −8.34887 | − | 8.34887i | −0.457515 | − | 0.457515i | ||||
\(334\) | −8.44145 | + | 7.29282i | −0.461895 | + | 0.399046i | ||||
\(335\) | 55.7825 | 3.04772 | ||||||||
\(336\) | −8.98968 | + | 4.84023i | −0.490427 | + | 0.264056i | ||||
\(337\) | −16.8015 | −0.915236 | −0.457618 | − | 0.889149i | \(-0.651297\pi\) | ||||
−0.457618 | + | 0.889149i | \(0.651297\pi\) | |||||||
\(338\) | −7.02657 | + | 6.07047i | −0.382195 | + | 0.330190i | ||||
\(339\) | −11.8073 | − | 11.8073i | −0.641283 | − | 0.641283i | ||||
\(340\) | 7.90628 | + | 10.6266i | 0.428778 | + | 0.576310i | ||||
\(341\) | −0.950229 | + | 0.950229i | −0.0514578 | + | 0.0514578i | ||||
\(342\) | 11.3195 | + | 0.826338i | 0.612088 | + | 0.0446833i | ||||
\(343\) | − | 19.9917i | − | 1.07945i | ||||||
\(344\) | −2.41580 | + | 10.8738i | −0.130251 | + | 0.586276i | ||||
\(345\) | 4.38467i | 0.236063i | ||||||||
\(346\) | 1.82120 | − | 24.9475i | 0.0979085 | − | 1.34119i | ||||
\(347\) | −7.83787 | + | 7.83787i | −0.420759 | + | 0.420759i | −0.885465 | − | 0.464706i | \(-0.846160\pi\) |
0.464706 | + | 0.885465i | \(0.346160\pi\) | |||||||
\(348\) | −5.62273 | − | 0.825333i | −0.301410 | − | 0.0442425i | ||||
\(349\) | 2.37699 | + | 2.37699i | 0.127237 | + | 0.127237i | 0.767858 | − | 0.640621i | \(-0.221323\pi\) |
−0.640621 | + | 0.767858i | \(0.721323\pi\) | |||||||
\(350\) | 23.3633 | + | 27.0431i | 1.24882 | + | 1.44551i | ||||
\(351\) | 13.3648 | 0.713360 | ||||||||
\(352\) | −23.9562 | − | 9.13664i | −1.27687 | − | 0.486984i | ||||
\(353\) | −3.52647 | −0.187695 | −0.0938474 | − | 0.995587i | \(-0.529917\pi\) | ||||
−0.0938474 | + | 0.995587i | \(0.529917\pi\) | |||||||
\(354\) | −5.39198 | − | 6.24121i | −0.286580 | − | 0.331717i | ||||
\(355\) | −7.98366 | − | 7.98366i | −0.423729 | − | 0.423729i | ||||
\(356\) | −12.4941 | − | 1.83395i | −0.662188 | − | 0.0971993i | ||||
\(357\) | 2.99857 | − | 2.99857i | 0.158701 | − | 0.158701i | ||||
\(358\) | −1.45776 | + | 19.9689i | −0.0770448 | + | 1.05539i | ||||
\(359\) | 6.18644i | 0.326508i | 0.986584 | + | 0.163254i | \(0.0521989\pi\) | ||||
−0.986584 | + | 0.163254i | \(0.947801\pi\) | |||||||
\(360\) | −19.7024 | − | 4.37722i | −1.03841 | − | 0.230700i | ||||
\(361\) | 1.09935i | 0.0578605i | ||||||||
\(362\) | −17.1449 | − | 1.25160i | −0.901118 | − | 0.0657829i | ||||
\(363\) | 7.42246 | − | 7.42246i | 0.389578 | − | 0.389578i | ||||
\(364\) | 7.02704 | + | 9.44487i | 0.368317 | + | 0.495046i | ||||
\(365\) | −30.3494 | − | 30.3494i | −1.58856 | − | 1.58856i | ||||
\(366\) | 1.02344 | − | 0.884177i | 0.0534958 | − | 0.0462167i | ||||
\(367\) | −8.92361 | −0.465809 | −0.232904 | − | 0.972500i | \(-0.574823\pi\) | ||||
−0.232904 | + | 0.972500i | \(0.574823\pi\) | |||||||
\(368\) | 1.14951 | − | 3.83127i | 0.0599225 | − | 0.199719i | ||||
\(369\) | 12.8463 | 0.668754 | ||||||||
\(370\) | −28.1368 | + | 24.3082i | −1.46276 | + | 1.26373i | ||||
\(371\) | 22.7758 | + | 22.7758i | 1.18246 | + | 1.18246i | ||||
\(372\) | −0.523306 | + | 0.389343i | −0.0271321 | + | 0.0201865i | ||||
\(373\) | 23.2859 | − | 23.2859i | 1.20570 | − | 1.20570i | 0.233290 | − | 0.972407i | \(-0.425051\pi\) |
0.972407 | − | 0.233290i | \(-0.0749492\pi\) | |||||||
\(374\) | 10.6209 | + | 0.775338i | 0.549192 | + | 0.0400918i | ||||
\(375\) | − | 25.8253i | − | 1.33361i | ||||||
\(376\) | 9.14160 | − | 5.81806i | 0.471442 | − | 0.300043i | ||||
\(377\) | 6.55258i | 0.337475i | ||||||||
\(378\) | −1.25892 | + | 17.2451i | −0.0647518 | + | 0.886994i | ||||
\(379\) | −8.59665 | + | 8.59665i | −0.441580 | + | 0.441580i | −0.892543 | − | 0.450963i | \(-0.851081\pi\) |
0.450963 | + | 0.892543i | \(0.351081\pi\) | |||||||
\(380\) | 5.19080 | − | 35.3633i | 0.266282 | − | 1.81410i | ||||
\(381\) | −7.11393 | − | 7.11393i | −0.364458 | − | 0.364458i | ||||
\(382\) | 4.33590 | + | 5.01881i | 0.221844 | + | 0.256784i | ||||
\(383\) | −1.40860 | −0.0719761 | −0.0359880 | − | 0.999352i | \(-0.511458\pi\) | ||||
−0.0359880 | + | 0.999352i | \(0.511458\pi\) | |||||||
\(384\) | −10.8603 | − | 6.07632i | −0.554214 | − | 0.310081i | ||||
\(385\) | 41.9255 | 2.13672 | ||||||||
\(386\) | 7.30078 | + | 8.45066i | 0.371600 | + | 0.430127i | ||||
\(387\) | 4.98492 | + | 4.98492i | 0.253398 | + | 0.253398i | ||||
\(388\) | 3.70772 | − | 25.2595i | 0.188231 | − | 1.28236i | ||||
\(389\) | −0.461939 | + | 0.461939i | −0.0234212 | + | 0.0234212i | −0.718720 | − | 0.695299i | \(-0.755272\pi\) |
0.695299 | + | 0.718720i | \(0.255272\pi\) | |||||||
\(390\) | 1.14517 | − | 15.6870i | 0.0579881 | − | 0.794343i | ||||
\(391\) | 1.66137i | 0.0840192i | ||||||||
\(392\) | 3.85408 | − | 2.45288i | 0.194660 | − | 0.123889i | ||||
\(393\) | 15.3684i | 0.775231i | ||||||||
\(394\) | −15.4287 | − | 1.12632i | −0.777289 | − | 0.0567431i | ||||
\(395\) | −19.0109 | + | 19.0109i | −0.956540 | + | 0.956540i | ||||
\(396\) | −13.0189 | + | 9.68616i | −0.654226 | + | 0.486748i | ||||
\(397\) | 14.2358 | + | 14.2358i | 0.714473 | + | 0.714473i | 0.967468 | − | 0.252995i | \(-0.0814155\pi\) |
−0.252995 | + | 0.967468i | \(0.581416\pi\) | |||||||
\(398\) | −14.0537 | + | 12.1414i | −0.704450 | + | 0.608596i | ||||
\(399\) | −11.4433 | −0.572884 | ||||||||
\(400\) | −12.5181 | + | 41.7222i | −0.625904 | + | 2.08611i | ||||
\(401\) | 18.5653 | 0.927107 | 0.463553 | − | 0.886069i | \(-0.346574\pi\) | ||||
0.463553 | + | 0.886069i | \(0.346574\pi\) | |||||||
\(402\) | 16.4725 | − | 14.2311i | 0.821574 | − | 0.709783i | ||||
\(403\) | 0.531788 | + | 0.531788i | 0.0264902 | + | 0.0264902i | ||||
\(404\) | 1.49424 | + | 2.00837i | 0.0743413 | + | 0.0999203i | ||||
\(405\) | 1.19880 | − | 1.19880i | 0.0595688 | − | 0.0595688i | ||||
\(406\) | −8.45505 | − | 0.617230i | −0.419617 | − | 0.0306326i | ||||
\(407\) | 29.8951i | 1.48185i | ||||||||
\(408\) | 5.04576 | + | 1.12100i | 0.249802 | + | 0.0554978i | ||||
\(409\) | − | 8.73112i | − | 0.431726i | −0.976424 | − | 0.215863i | \(-0.930744\pi\) | ||
0.976424 | − | 0.215863i | \(-0.0692565\pi\) | |||||||
\(410\) | 2.94549 | − | 40.3484i | 0.145467 | − | 1.99266i | ||||
\(411\) | 8.06379 | − | 8.06379i | 0.397757 | − | 0.397757i | ||||
\(412\) | −37.1074 | − | 5.44681i | −1.82815 | − | 0.268345i | ||||
\(413\) | −8.69995 | − | 8.69995i | −0.428097 | − | 0.428097i | ||||
\(414\) | −1.65501 | − | 1.91567i | −0.0813392 | − | 0.0941501i | ||||
\(415\) | 27.5497 | 1.35236 | ||||||||
\(416\) | −5.11324 | + | 13.4069i | −0.250697 | + | 0.657326i | ||||
\(417\) | 14.2048 | 0.695613 | ||||||||
\(418\) | −18.7866 | − | 21.7455i | −0.918883 | − | 1.06361i | ||||
\(419\) | −6.27734 | − | 6.27734i | −0.306668 | − | 0.306668i | 0.536947 | − | 0.843616i | \(-0.319577\pi\) |
−0.843616 | + | 0.536947i | \(0.819577\pi\) | |||||||
\(420\) | 20.1337 | + | 2.95533i | 0.982424 | + | 0.144205i | ||||
\(421\) | 22.3738 | − | 22.3738i | 1.09043 | − | 1.09043i | 0.0949502 | − | 0.995482i | \(-0.469731\pi\) |
0.995482 | − | 0.0949502i | \(-0.0302692\pi\) | |||||||
\(422\) | −2.04608 | + | 28.0279i | −0.0996015 | + | 1.36438i | ||||
\(423\) | − | 6.85802i | − | 0.333448i | ||||||
\(424\) | −8.51464 | + | 38.3254i | −0.413507 | + | 1.86125i | ||||
\(425\) | − | 18.0922i | − | 0.877600i | ||||||
\(426\) | −4.39434 | − | 0.320793i | −0.212906 | − | 0.0155425i | ||||
\(427\) | 1.42662 | − | 1.42662i | 0.0690390 | − | 0.0690390i | ||||
\(428\) | −14.2769 | − | 19.1892i | −0.690100 | − | 0.927546i | ||||
\(429\) | −8.94203 | − | 8.94203i | −0.431725 | − | 0.431725i | ||||
\(430\) | 16.7998 | − | 14.5139i | 0.810160 | − | 0.699922i | ||||
\(431\) | −14.0721 | −0.677828 | −0.338914 | − | 0.940817i | \(-0.610060\pi\) | ||||
−0.338914 | + | 0.940817i | \(0.610060\pi\) | |||||||
\(432\) | −18.5568 | + | 9.99136i | −0.892814 | + | 0.480709i | ||||
\(433\) | −18.0306 | −0.866496 | −0.433248 | − | 0.901275i | \(-0.642633\pi\) | ||||
−0.433248 | + | 0.901275i | \(0.642633\pi\) | |||||||
\(434\) | −0.736280 | + | 0.636094i | −0.0353425 | + | 0.0305335i | ||||
\(435\) | 8.00926 | + | 8.00926i | 0.384014 | + | 0.384014i | ||||
\(436\) | −32.1538 | + | 23.9226i | −1.53989 | + | 1.14569i | ||||
\(437\) | 3.17012 | − | 3.17012i | 0.151648 | − | 0.151648i | ||||
\(438\) | −16.7048 | − | 1.21947i | −0.798187 | − | 0.0582688i | ||||
\(439\) | − | 4.35394i | − | 0.207802i | −0.994588 | − | 0.103901i | \(-0.966867\pi\) | ||
0.994588 | − | 0.103901i | \(-0.0331325\pi\) | |||||||
\(440\) | 27.4377 | + | 43.1113i | 1.30804 | + | 2.05525i | ||||
\(441\) | − | 2.89133i | − | 0.137682i | ||||||
\(442\) | 0.433911 | − | 5.94388i | 0.0206391 | − | 0.282722i | ||||
\(443\) | −11.7542 | + | 11.7542i | −0.558460 | + | 0.558460i | −0.928869 | − | 0.370409i | \(-0.879218\pi\) |
0.370409 | + | 0.928869i | \(0.379218\pi\) | |||||||
\(444\) | −2.10730 | + | 14.3564i | −0.100008 | + | 0.681324i | ||||
\(445\) | 17.7972 | + | 17.7972i | 0.843667 | + | 0.843667i | ||||
\(446\) | −27.0893 | − | 31.3559i | −1.28272 | − | 1.48474i | ||||
\(447\) | −20.6448 | −0.976464 | ||||||||
\(448\) | −16.8178 | − | 7.86070i | −0.794565 | − | 0.371383i | ||||
\(449\) | 11.0996 | 0.523824 | 0.261912 | − | 0.965092i | \(-0.415647\pi\) | ||||
0.261912 | + | 0.965092i | \(0.415647\pi\) | |||||||
\(450\) | 18.0229 | + | 20.8615i | 0.849606 | + | 0.983420i | ||||
\(451\) | −22.9997 | − | 22.9997i | −1.08301 | − | 1.08301i | ||||
\(452\) | 4.40931 | − | 30.0393i | 0.207397 | − | 1.41293i | ||||
\(453\) | −8.28830 | + | 8.28830i | −0.389418 | + | 0.389418i | ||||
\(454\) | 0.478281 | − | 6.55168i | 0.0224469 | − | 0.307485i | ||||
\(455\) | − | 23.4633i | − | 1.09997i | ||||||
\(456\) | −7.48897 | − | 11.7670i | −0.350703 | − | 0.551041i | ||||
\(457\) | 23.9218i | 1.11901i | 0.828825 | + | 0.559507i | \(0.189010\pi\) | ||||
−0.828825 | + | 0.559507i | \(0.810990\pi\) | |||||||
\(458\) | −17.5772 | − | 1.28316i | −0.821331 | − | 0.0599583i | ||||
\(459\) | 6.18973 | − | 6.18973i | 0.288912 | − | 0.288912i | ||||
\(460\) | −6.39630 | + | 4.75889i | −0.298229 | + | 0.221884i | ||||
\(461\) | 19.7026 | + | 19.7026i | 0.917641 | + | 0.917641i | 0.996857 | − | 0.0792160i | \(-0.0252417\pi\) |
−0.0792160 | + | 0.996857i | \(0.525242\pi\) | |||||||
\(462\) | 12.3806 | − | 10.6959i | 0.575996 | − | 0.497620i | ||||
\(463\) | −22.7966 | −1.05945 | −0.529725 | − | 0.848170i | \(-0.677705\pi\) | ||||
−0.529725 | + | 0.848170i | \(0.677705\pi\) | |||||||
\(464\) | −4.89863 | − | 9.09814i | −0.227413 | − | 0.422370i | ||||
\(465\) | 1.30001 | 0.0602867 | ||||||||
\(466\) | 22.8196 | − | 19.7146i | 1.05710 | − | 0.913260i | ||||
\(467\) | −17.4792 | − | 17.4792i | −0.808841 | − | 0.808841i | 0.175617 | − | 0.984458i | \(-0.443808\pi\) |
−0.984458 | + | 0.175617i | \(0.943808\pi\) | |||||||
\(468\) | 5.42078 | + | 7.28594i | 0.250576 | + | 0.336793i | ||||
\(469\) | 22.9619 | − | 22.9619i | 1.06028 | − | 1.06028i | ||||
\(470\) | −21.5400 | − | 1.57245i | −0.993565 | − | 0.0725316i | ||||
\(471\) | − | 1.90434i | − | 0.0877474i | ||||||
\(472\) | 3.25244 | − | 14.6396i | 0.149706 | − | 0.673843i | ||||
\(473\) | − | 17.8497i | − | 0.820729i | ||||||
\(474\) | −0.763878 | + | 10.4639i | −0.0350861 | + | 0.480622i | ||||
\(475\) | −34.5223 | + | 34.5223i | −1.58399 | + | 1.58399i | ||||
\(476\) | 7.62875 | + | 1.11979i | 0.349663 | + | 0.0513253i | ||||
\(477\) | 17.5697 | + | 17.5697i | 0.804460 | + | 0.804460i | ||||
\(478\) | 3.37270 | + | 3.90390i | 0.154264 | + | 0.178560i | ||||
\(479\) | 27.0802 | 1.23732 | 0.618662 | − | 0.785657i | \(-0.287675\pi\) | ||||
0.618662 | + | 0.785657i | \(0.287675\pi\) | |||||||
\(480\) | 10.1374 | + | 22.6373i | 0.462705 | + | 1.03324i | ||||
\(481\) | 16.7305 | 0.762847 | ||||||||
\(482\) | 20.0848 | + | 23.2482i | 0.914840 | + | 1.05893i | ||||
\(483\) | 1.80487 | + | 1.80487i | 0.0821246 | + | 0.0821246i | ||||
\(484\) | 18.8837 | + | 2.77185i | 0.858351 | + | 0.125993i | ||||
\(485\) | −35.9807 | + | 35.9807i | −1.63380 | + | 1.63380i | ||||
\(486\) | −1.57938 | + | 21.6349i | −0.0716420 | + | 0.981379i | ||||
\(487\) | 9.09947i | 0.412336i | 0.978517 | + | 0.206168i | \(0.0660994\pi\) | ||||
−0.978517 | + | 0.206168i | \(0.933901\pi\) | |||||||
\(488\) | 2.40061 | + | 0.533335i | 0.108670 | + | 0.0241430i | ||||
\(489\) | − | 4.71246i | − | 0.213105i | ||||||
\(490\) | −9.08120 | − | 0.662940i | −0.410247 | − | 0.0299486i | ||||
\(491\) | 15.5622 | − | 15.5622i | 0.702312 | − | 0.702312i | −0.262595 | − | 0.964906i | \(-0.584578\pi\) |
0.964906 | + | 0.262595i | \(0.0845782\pi\) | |||||||
\(492\) | −9.42379 | − | 12.6663i | −0.424857 | − | 0.571040i | ||||
\(493\) | 3.03474 | + | 3.03474i | 0.136678 | + | 0.136678i | ||||
\(494\) | −12.1697 | + | 10.5138i | −0.547540 | + | 0.473037i | ||||
\(495\) | 32.3421 | 1.45367 | ||||||||
\(496\) | −1.13594 | − | 0.340820i | −0.0510050 | − | 0.0153033i | ||||
\(497\) | −6.57267 | −0.294824 | ||||||||
\(498\) | 8.13539 | − | 7.02841i | 0.364555 | − | 0.314951i | ||||
\(499\) | −16.7323 | − | 16.7323i | −0.749042 | − | 0.749042i | 0.225257 | − | 0.974299i | \(-0.427678\pi\) |
−0.974299 | + | 0.225257i | \(0.927678\pi\) | |||||||
\(500\) | 37.6736 | − | 28.0294i | 1.68481 | − | 1.25351i | ||||
\(501\) | 6.13525 | − | 6.13525i | 0.274103 | − | 0.274103i | ||||
\(502\) | −39.1684 | − | 2.85935i | −1.74817 | − | 0.127619i | ||||
\(503\) | − | 20.5829i | − | 0.917747i | −0.888502 | − | 0.458873i | \(-0.848253\pi\) | ||
0.888502 | − | 0.458873i | \(-0.151747\pi\) | |||||||
\(504\) | −9.91195 | + | 6.30834i | −0.441513 | + | 0.280996i | ||||
\(505\) | − | 4.98927i | − | 0.222020i | ||||||
\(506\) | −0.466685 | + | 6.39283i | −0.0207467 | + | 0.284196i | ||||
\(507\) | 5.10692 | − | 5.10692i | 0.226806 | − | 0.226806i | ||||
\(508\) | 2.65663 | − | 18.0988i | 0.117869 | − | 0.803003i | ||||
\(509\) | −10.7325 | − | 10.7325i | −0.475711 | − | 0.475711i | 0.428046 | − | 0.903757i | \(-0.359202\pi\) |
−0.903757 | + | 0.428046i | \(0.859202\pi\) | |||||||
\(510\) | −6.73487 | − | 7.79561i | −0.298225 | − | 0.345195i | ||||
\(511\) | −24.9856 | −1.10530 | ||||||||
\(512\) | −2.92317 | − | 22.4378i | −0.129187 | − | 0.991620i | ||||
\(513\) | −23.6217 | −1.04292 | ||||||||
\(514\) | −2.46219 | − | 2.84998i | −0.108602 | − | 0.125707i | ||||
\(515\) | 52.8573 | + | 52.8573i | 2.32917 | + | 2.32917i | ||||
\(516\) | 1.25822 | − | 8.57187i | 0.0553901 | − | 0.377355i | ||||
\(517\) | −12.2784 | + | 12.2784i | −0.540002 | + | 0.540002i | ||||
\(518\) | −1.57596 | + | 21.5881i | −0.0692437 | + | 0.948526i | ||||
\(519\) | 19.4555i | 0.854003i | ||||||||
\(520\) | 24.1269 | − | 15.3553i | 1.05803 | − | 0.673373i | ||||
\(521\) | − | 7.16480i | − | 0.313895i | −0.987607 | − | 0.156948i | \(-0.949835\pi\) | ||
0.987607 | − | 0.156948i | \(-0.0501654\pi\) | |||||||
\(522\) | −6.52238 | − | 0.476142i | −0.285477 | − | 0.0208402i | ||||
\(523\) | 15.0278 | − | 15.0278i | 0.657118 | − | 0.657118i | −0.297579 | − | 0.954697i | \(-0.596179\pi\) |
0.954697 | + | 0.297579i | \(0.0961792\pi\) | |||||||
\(524\) | −22.4191 | + | 16.6800i | −0.979385 | + | 0.728668i | ||||
\(525\) | −19.6549 | − | 19.6549i | −0.857811 | − | 0.857811i | ||||
\(526\) | −5.27785 | + | 4.55970i | −0.230125 | + | 0.198812i | ||||
\(527\) | 0.492581 | 0.0214572 | ||||||||
\(528\) | 19.1008 | + | 5.73090i | 0.831255 | + | 0.249405i | ||||
\(529\) | −1.00000 | −0.0434783 | ||||||||
\(530\) | 59.2121 | − | 51.1551i | 2.57201 | − | 2.22204i | ||||
\(531\) | −6.71130 | − | 6.71130i | −0.291245 | − | 0.291245i | ||||
\(532\) | −12.4200 | − | 16.6934i | −0.538475 | − | 0.723750i | ||||
\(533\) | −12.8716 | + | 12.8716i | −0.557530 | + | 0.557530i | ||||
\(534\) | 9.79586 | + | 0.715111i | 0.423908 | + | 0.0309459i | ||||
\(535\) | 47.6705i | 2.06098i | ||||||||
\(536\) | 38.6385 | + | 8.58420i | 1.66893 | + | 0.370781i | ||||
\(537\) | − | 15.5729i | − | 0.672020i | ||||||
\(538\) | 2.03868 | − | 27.9265i | 0.0878936 | − | 1.20400i | ||||
\(539\) | −5.17654 | + | 5.17654i | −0.222969 | + | 0.222969i | ||||
\(540\) | 41.5606 | + | 6.10047i | 1.78848 | + | 0.262523i | ||||
\(541\) | −18.7869 | − | 18.7869i | −0.807711 | − | 0.807711i | 0.176576 | − | 0.984287i | \(-0.443498\pi\) |
−0.984287 | + | 0.176576i | \(0.943498\pi\) | |||||||
\(542\) | 0.405217 | + | 0.469038i | 0.0174055 | + | 0.0201469i | ||||
\(543\) | 13.3706 | 0.573788 | ||||||||
\(544\) | 3.84109 | + | 8.57736i | 0.164685 | + | 0.367751i | ||||
\(545\) | 79.8775 | 3.42158 | ||||||||
\(546\) | −5.98590 | − | 6.92868i | −0.256173 | − | 0.296520i | ||||
\(547\) | 27.6019 | + | 27.6019i | 1.18017 | + | 1.18017i | 0.979699 | + | 0.200473i | \(0.0642480\pi\) |
0.200473 | + | 0.979699i | \(0.435752\pi\) | |||||||
\(548\) | 20.5153 | + | 3.01134i | 0.876372 | + | 0.128638i | ||||
\(549\) | 1.10052 | − | 1.10052i | 0.0469690 | − | 0.0469690i | ||||
\(550\) | 5.08216 | − | 69.6173i | 0.216704 | − | 2.96849i | ||||
\(551\) | − | 11.5814i | − | 0.493384i | ||||||
\(552\) | −0.674744 | + | 3.03710i | −0.0287190 | + | 0.129268i | ||||
\(553\) | 15.6510i | 0.665547i | ||||||||
\(554\) | 24.4249 | + | 1.78305i | 1.03772 | + | 0.0757546i | ||||
\(555\) | 20.4498 | − | 20.4498i | 0.868048 | − | 0.868048i | ||||
\(556\) | 15.4171 | + | 20.7218i | 0.653833 | + | 0.878800i | ||||
\(557\) | −7.86100 | − | 7.86100i | −0.333081 | − | 0.333081i | 0.520674 | − | 0.853755i | \(-0.325681\pi\) |
−0.853755 | + | 0.520674i | \(0.825681\pi\) | |||||||
\(558\) | −0.567979 | + | 0.490694i | −0.0240445 | + | 0.0207727i | ||||
\(559\) | −9.98942 | −0.422507 | ||||||||
\(560\) | 17.5408 | + | 32.5783i | 0.741236 | + | 1.37669i | ||||
\(561\) | −8.28277 | −0.349699 | ||||||||
\(562\) | 21.7466 | − | 18.7875i | 0.917323 | − | 0.792503i | ||||
\(563\) | 0.388934 | + | 0.388934i | 0.0163916 | + | 0.0163916i | 0.715255 | − | 0.698863i | \(-0.246311\pi\) |
−0.698863 | + | 0.715255i | \(0.746311\pi\) | |||||||
\(564\) | −6.76189 | + | 5.03089i | −0.284727 | + | 0.211839i | ||||
\(565\) | −42.7892 | + | 42.7892i | −1.80015 | + | 1.80015i | ||||
\(566\) | −10.1586 | − | 0.741591i | −0.426997 | − | 0.0311714i | ||||
\(567\) | − | 0.986929i | − | 0.0414471i | ||||||
\(568\) | −4.30141 | − | 6.75857i | −0.180483 | − | 0.283583i | ||||
\(569\) | − | 25.6806i | − | 1.07659i | −0.842758 | − | 0.538293i | \(-0.819069\pi\) | ||
0.842758 | − | 0.538293i | \(-0.180931\pi\) | |||||||
\(570\) | −2.02404 | + | 27.7261i | −0.0847779 | + | 1.16132i | ||||
\(571\) | −18.7104 | + | 18.7104i | −0.783006 | + | 0.783006i | −0.980337 | − | 0.197331i | \(-0.936773\pi\) |
0.197331 | + | 0.980337i | \(0.436773\pi\) | |||||||
\(572\) | 3.33931 | − | 22.7497i | 0.139624 | − | 0.951213i | ||||
\(573\) | −3.64767 | − | 3.64767i | −0.152384 | − | 0.152384i | ||||
\(574\) | −15.3962 | − | 17.8212i | −0.642627 | − | 0.743841i | ||||
\(575\) | 10.8899 | 0.454141 | ||||||||
\(576\) | −12.9735 | − | 6.06388i | −0.540564 | − | 0.252662i | ||||
\(577\) | 3.03487 | 0.126343 | 0.0631716 | − | 0.998003i | \(-0.479878\pi\) | ||||
0.0631716 | + | 0.998003i | \(0.479878\pi\) | |||||||
\(578\) | 13.1653 | + | 15.2388i | 0.547604 | + | 0.633851i | ||||
\(579\) | −6.14194 | − | 6.14194i | −0.255251 | − | 0.255251i | ||||
\(580\) | −2.99098 | + | 20.3766i | −0.124194 | + | 0.846092i | ||||
\(581\) | 11.3403 | − | 11.3403i | 0.470477 | − | 0.470477i | ||||
\(582\) | −1.44575 | + | 19.8044i | −0.0599281 | + | 0.820918i | ||||
\(583\) | − | 62.9123i | − | 2.60556i | ||||||
\(584\) | −16.3516 | − | 25.6923i | −0.676632 | − | 1.06316i | ||||
\(585\) | − | 18.1000i | − | 0.748342i | ||||||
\(586\) | 47.4320 | + | 3.46260i | 1.95940 | + | 0.143039i | ||||
\(587\) | −27.2234 | + | 27.2234i | −1.12363 | + | 1.12363i | −0.132438 | + | 0.991191i | \(0.542281\pi\) |
−0.991191 | + | 0.132438i | \(0.957719\pi\) | |||||||
\(588\) | −2.85080 | + | 2.12101i | −0.117565 | + | 0.0874690i | ||||
\(589\) | −0.939912 | − | 0.939912i | −0.0387284 | − | 0.0387284i | ||||
\(590\) | −22.6180 | + | 19.5403i | −0.931166 | + | 0.804463i | ||||
\(591\) | 12.0322 | 0.494940 | ||||||||
\(592\) | −23.2301 | + | 12.5075i | −0.954750 | + | 0.514057i | ||||
\(593\) | −32.1885 | −1.32182 | −0.660912 | − | 0.750464i | \(-0.729830\pi\) | ||||
−0.660912 | + | 0.750464i | \(0.729830\pi\) | |||||||
\(594\) | 25.5563 | − | 22.0789i | 1.04859 | − | 0.905908i | ||||
\(595\) | −10.8667 | − | 10.8667i | −0.445492 | − | 0.445492i | ||||
\(596\) | −22.4067 | − | 30.1163i | −0.917815 | − | 1.23361i | ||||
\(597\) | 10.2143 | − | 10.2143i | 0.418042 | − | 0.418042i | ||||
\(598\) | 3.57769 | + | 0.261177i | 0.146303 | + | 0.0106803i | ||||
\(599\) | − | 12.9914i | − | 0.530813i | −0.964137 | − | 0.265407i | \(-0.914494\pi\) | ||
0.964137 | − | 0.265407i | \(-0.0855062\pi\) | |||||||
\(600\) | 7.34790 | − | 33.0738i | 0.299977 | − | 1.35023i | ||||
\(601\) | 2.11593i | 0.0863107i | 0.999068 | + | 0.0431553i | \(0.0137410\pi\) | ||||
−0.999068 | + | 0.0431553i | \(0.986259\pi\) | |||||||
\(602\) | 0.940969 | − | 12.8897i | 0.0383510 | − | 0.525347i | ||||
\(603\) | 17.7132 | − | 17.7132i | 0.721338 | − | 0.721338i | ||||
\(604\) | −21.0865 | − | 3.09518i | −0.857998 | − | 0.125941i | ||||
\(605\) | −26.8987 | − | 26.8987i | −1.09359 | − | 1.09359i | ||||
\(606\) | −1.27285 | − | 1.47333i | −0.0517061 | − | 0.0598498i | ||||
\(607\) | −35.6668 | −1.44767 | −0.723835 | − | 0.689973i | \(-0.757622\pi\) | ||||
−0.723835 | + | 0.689973i | \(0.757622\pi\) | |||||||
\(608\) | 9.03743 | − | 23.6961i | 0.366516 | − | 0.961003i | ||||
\(609\) | 6.59374 | 0.267192 | ||||||||
\(610\) | −3.20423 | − | 3.70889i | −0.129735 | − | 0.150169i | ||||
\(611\) | 6.87149 | + | 6.87149i | 0.277991 | + | 0.277991i | ||||
\(612\) | 5.88495 | + | 0.863823i | 0.237885 | + | 0.0349180i | ||||
\(613\) | −19.2450 | + | 19.2450i | −0.777296 | + | 0.777296i | −0.979370 | − | 0.202074i | \(-0.935232\pi\) |
0.202074 | + | 0.979370i | \(0.435232\pi\) | |||||||
\(614\) | −2.57850 | + | 35.3213i | −0.104060 | + | 1.42545i | ||||
\(615\) | 31.4660i | 1.26883i | ||||||||
\(616\) | 29.0403 | + | 6.45179i | 1.17007 | + | 0.259950i | ||||
\(617\) | − | 10.6772i | − | 0.429849i | −0.976631 | − | 0.214924i | \(-0.931049\pi\) | ||
0.976631 | − | 0.214924i | \(-0.0689505\pi\) | |||||||
\(618\) | 29.0935 | + | 2.12387i | 1.17031 | + | 0.0854345i | ||||
\(619\) | −18.8984 | + | 18.8984i | −0.759590 | + | 0.759590i | −0.976248 | − | 0.216658i | \(-0.930484\pi\) |
0.216658 | + | 0.976248i | \(0.430484\pi\) | |||||||
\(620\) | 1.41097 | + | 1.89644i | 0.0566657 | + | 0.0761630i | ||||
\(621\) | 3.72568 | + | 3.72568i | 0.149506 | + | 0.149506i | ||||
\(622\) | −10.6550 | + | 9.20518i | −0.427226 | + | 0.369094i | ||||
\(623\) | 14.6518 | 0.587012 | ||||||||
\(624\) | 3.20725 | − | 10.6896i | 0.128393 | − | 0.427926i | ||||
\(625\) | −39.1405 | −1.56562 | ||||||||
\(626\) | −36.5156 | + | 31.5469i | −1.45946 | + | 1.26087i | ||||
\(627\) | 15.8046 | + | 15.8046i | 0.631177 | + | 0.631177i | ||||
\(628\) | 2.77803 | − | 2.06687i | 0.110855 | − | 0.0824770i | ||||
\(629\) | 7.74854 | − | 7.74854i | 0.308954 | − | 0.308954i | ||||
\(630\) | 23.3551 | + | 1.70496i | 0.930490 | + | 0.0679270i | ||||
\(631\) | 9.44357i | 0.375942i | 0.982175 | + | 0.187971i | \(0.0601912\pi\) | ||||
−0.982175 | + | 0.187971i | \(0.939809\pi\) | |||||||
\(632\) | −16.0937 | + | 10.2426i | −0.640171 | + | 0.407429i | ||||
\(633\) | − | 21.8578i | − | 0.868770i | ||||||
\(634\) | 1.00393 | − | 13.7522i | 0.0398712 | − | 0.546171i | ||||
\(635\) | −25.7806 | + | 25.7806i | −1.02307 | + | 1.02307i | ||||
\(636\) | 4.43469 | − | 30.2121i | 0.175847 | − | 1.19799i | ||||
\(637\) | 2.89701 | + | 2.89701i | 0.114784 | + | 0.114784i | ||||
\(638\) | 10.8250 | + | 12.5299i | 0.428565 | + | 0.496064i | ||||
\(639\) | −5.07027 | −0.200577 | ||||||||
\(640\) | −22.0204 | + | 39.3575i | −0.870431 | + | 1.55574i | ||||
\(641\) | 11.7909 | 0.465712 | 0.232856 | − | 0.972511i | \(-0.425193\pi\) | ||||
0.232856 | + | 0.972511i | \(0.425193\pi\) | |||||||
\(642\) | 12.1616 | + | 14.0770i | 0.479980 | + | 0.555577i | ||||
\(643\) | 6.74700 | + | 6.74700i | 0.266076 | + | 0.266076i | 0.827517 | − | 0.561441i | \(-0.189753\pi\) |
−0.561441 | + | 0.827517i | \(0.689753\pi\) | |||||||
\(644\) | −0.674013 | + | 4.59184i | −0.0265598 | + | 0.180944i | ||||
\(645\) | −12.2101 | + | 12.2101i | −0.480773 | + | 0.480773i | ||||
\(646\) | −0.766919 | + | 10.5055i | −0.0301740 | + | 0.413335i | ||||
\(647\) | − | 17.1200i | − | 0.673057i | −0.941673 | − | 0.336528i | \(-0.890747\pi\) | ||
0.941673 | − | 0.336528i | \(-0.109253\pi\) | |||||||
\(648\) | 1.01484 | − | 0.645885i | 0.0398668 | − | 0.0253727i | ||||
\(649\) | 24.0314i | 0.943314i | ||||||||
\(650\) | −38.9608 | − | 2.84419i | −1.52817 | − | 0.111558i | ||||
\(651\) | 0.535128 | − | 0.535128i | 0.0209733 | − | 0.0209733i | ||||
\(652\) | 6.87447 | − | 5.11465i | 0.269225 | − | 0.200305i | ||||
\(653\) | −3.21167 | − | 3.21167i | −0.125682 | − | 0.125682i | 0.641468 | − | 0.767150i | \(-0.278326\pi\) |
−0.767150 | + | 0.641468i | \(0.778326\pi\) | |||||||
\(654\) | 23.5878 | − | 20.3782i | 0.922354 | − | 0.796850i | ||||
\(655\) | 55.6944 | 2.17616 | ||||||||
\(656\) | 8.24932 | − | 27.4946i | 0.322082 | − | 1.07348i | ||||
\(657\) | −19.2743 | −0.751963 | ||||||||
\(658\) | −9.51382 | + | 8.21928i | −0.370887 | + | 0.320421i | ||||
\(659\) | −19.7196 | − | 19.7196i | −0.768166 | − | 0.768166i | 0.209617 | − | 0.977783i | \(-0.432778\pi\) |
−0.977783 | + | 0.209617i | \(0.932778\pi\) | |||||||
\(660\) | −23.7254 | − | 31.8887i | −0.923511 | − | 1.24127i | ||||
\(661\) | 9.76300 | − | 9.76300i | 0.379737 | − | 0.379737i | −0.491271 | − | 0.871007i | \(-0.663467\pi\) |
0.871007 | + | 0.491271i | \(0.163467\pi\) | |||||||
\(662\) | −43.0706 | − | 3.14422i | −1.67399 | − | 0.122203i | ||||
\(663\) | 4.63538i | 0.180023i | ||||||||
\(664\) | 19.0827 | + | 4.23954i | 0.740551 | + | 0.164526i | ||||
\(665\) | 41.4703i | 1.60815i | ||||||||
\(666\) | −1.21572 | + | 16.6534i | −0.0471083 | + | 0.645307i | ||||
\(667\) | −1.82665 | + | 1.82665i | −0.0707281 | + | 0.0707281i | ||||
\(668\) | 15.6089 | + | 2.29115i | 0.603926 | + | 0.0886473i | ||||
\(669\) | 22.7895 | + | 22.7895i | 0.881092 | + | 0.881092i | ||||
\(670\) | −51.5731 | − | 59.6958i | −1.99244 | − | 2.30625i | ||||
\(671\) | −3.94067 | −0.152128 | ||||||||
\(672\) | 13.4911 | + | 5.14536i | 0.520430 | + | 0.198487i | ||||
\(673\) | 11.8278 | 0.455929 | 0.227964 | − | 0.973669i | \(-0.426793\pi\) | ||||
0.227964 | + | 0.973669i | \(0.426793\pi\) | |||||||
\(674\) | 15.5336 | + | 17.9802i | 0.598333 | + | 0.692571i | ||||
\(675\) | −40.5723 | − | 40.5723i | −1.56163 | − | 1.56163i | ||||
\(676\) | 12.9927 | + | 1.90713i | 0.499718 | + | 0.0733511i | ||||
\(677\) | 1.09692 | − | 1.09692i | 0.0421579 | − | 0.0421579i | −0.685714 | − | 0.727871i | \(-0.740510\pi\) |
0.727871 | + | 0.685714i | \(0.240510\pi\) | |||||||
\(678\) | −1.71932 | + | 23.5519i | −0.0660301 | + | 0.904505i | ||||
\(679\) | 29.6217i | 1.13678i | ||||||||
\(680\) | 4.06247 | − | 18.2857i | 0.155789 | − | 0.701223i | ||||
\(681\) | 5.10938i | 0.195792i | ||||||||
\(682\) | 1.89541 | + | 0.138368i | 0.0725792 | + | 0.00529838i | ||||
\(683\) | −15.5037 | + | 15.5037i | −0.593233 | + | 0.593233i | −0.938503 | − | 0.345270i | \(-0.887787\pi\) |
0.345270 | + | 0.938503i | \(0.387787\pi\) | |||||||
\(684\) | −9.58099 | − | 12.8776i | −0.366338 | − | 0.492386i | ||||
\(685\) | −29.2229 | − | 29.2229i | −1.11655 | − | 1.11655i | ||||
\(686\) | −21.3942 | + | 18.4831i | −0.816834 | + | 0.705688i | ||||
\(687\) | 13.7078 | 0.522984 | ||||||||
\(688\) | 13.8701 | − | 7.46796i | 0.528794 | − | 0.284713i | ||||
\(689\) | −35.2084 | −1.34133 | ||||||||
\(690\) | 4.69227 | − | 4.05380i | 0.178632 | − | 0.154325i | ||||
\(691\) | 3.79449 | + | 3.79449i | 0.144349 | + | 0.144349i | 0.775588 | − | 0.631239i | \(-0.217453\pi\) |
−0.631239 | + | 0.775588i | \(0.717453\pi\) | |||||||
\(692\) | −28.3815 | + | 21.1160i | −1.07890 | + | 0.802709i | ||||
\(693\) | 13.3131 | − | 13.3131i | 0.505721 | − | 0.505721i | ||||
\(694\) | 15.6341 | + | 1.14131i | 0.593464 | + | 0.0433237i | ||||
\(695\) | − | 51.4778i | − | 1.95266i | ||||||
\(696\) | 4.31520 | + | 6.78024i | 0.163567 | + | 0.257004i | ||||
\(697\) | 11.9226i | 0.451601i | ||||||||
\(698\) | 0.346125 | − | 4.74135i | 0.0131010 | − | 0.179463i | ||||
\(699\) | −16.5853 | + | 16.5853i | −0.627314 | + | 0.627314i | ||||
\(700\) | 7.33994 | − | 50.0047i | 0.277424 | − | 1.89000i | ||||
\(701\) | −28.1860 | − | 28.1860i | −1.06457 | − | 1.06457i | −0.997766 | − | 0.0668041i | \(-0.978720\pi\) |
−0.0668041 | − | 0.997766i | \(-0.521280\pi\) | |||||||
\(702\) | −12.3563 | − | 14.3024i | −0.466357 | − | 0.539809i | ||||
\(703\) | −29.5705 | −1.11527 | ||||||||
\(704\) | 12.3708 | + | 34.0840i | 0.466242 | + | 1.28459i | ||||
\(705\) | 16.7981 | 0.632654 | ||||||||
\(706\) | 3.26035 | + | 3.77386i | 0.122705 | + | 0.142031i | ||||
\(707\) | −2.05375 | − | 2.05375i | −0.0772391 | − | 0.0772391i | ||||
\(708\) | −1.69397 | + | 11.5405i | −0.0636633 | + | 0.433718i | ||||
\(709\) | −15.7363 | + | 15.7363i | −0.590991 | + | 0.590991i | −0.937899 | − | 0.346908i | \(-0.887231\pi\) |
0.346908 | + | 0.937899i | \(0.387231\pi\) | |||||||
\(710\) | −1.16254 | + | 15.9249i | −0.0436294 | + | 0.597652i | ||||
\(711\) | 12.0734i | 0.452789i | ||||||||
\(712\) | 9.58870 | + | 15.0662i | 0.359352 | + | 0.564630i | ||||
\(713\) | 0.296491i | 0.0111037i | ||||||||
\(714\) | −5.98122 | − | 0.436637i | −0.223841 | − | 0.0163407i | ||||
\(715\) | −32.4056 | + | 32.4056i | −1.21190 | + | 1.21190i | ||||
\(716\) | 22.7175 | − | 16.9020i | 0.848993 | − | 0.631656i | ||||
\(717\) | −2.83736 | − | 2.83736i | −0.105963 | − | 0.105963i | ||||
\(718\) | 6.62044 | − | 5.71960i | 0.247073 | − | 0.213453i | ||||
\(719\) | −10.9219 | −0.407318 | −0.203659 | − | 0.979042i | \(-0.565283\pi\) | ||||
−0.203659 | + | 0.979042i | \(0.565283\pi\) | |||||||
\(720\) | 13.5313 | + | 25.1315i | 0.504282 | + | 0.936595i | ||||
\(721\) | 43.5156 | 1.62060 | ||||||||
\(722\) | 1.17647 | − | 1.01639i | 0.0437838 | − | 0.0378261i | ||||
\(723\) | −16.8968 | − | 16.8968i | −0.628400 | − | 0.628400i | ||||
\(724\) | 14.5117 | + | 19.5049i | 0.539325 | + | 0.724893i | ||||
\(725\) | 19.8920 | − | 19.8920i | 0.738772 | − | 0.738772i | ||||
\(726\) | −14.8055 | − | 1.08082i | −0.549484 | − | 0.0401131i | ||||
\(727\) | 15.7550i | 0.584320i | 0.956370 | + | 0.292160i | \(0.0943739\pi\) | ||||
−0.956370 | + | 0.292160i | \(0.905626\pi\) | |||||||
\(728\) | 3.61069 | − | 16.2522i | 0.133821 | − | 0.602345i | ||||
\(729\) | − | 18.1481i | − | 0.672150i | ||||||
\(730\) | −4.41934 | + | 60.5377i | −0.163567 | + | 2.24060i | ||||
\(731\) | −4.62647 | + | 4.62647i | −0.171116 | + | 0.171116i | ||||
\(732\) | −1.89241 | − | 0.277777i | −0.0699455 | − | 0.0102669i | ||||
\(733\) | 8.54725 | + | 8.54725i | 0.315700 | + | 0.315700i | 0.847113 | − | 0.531413i | \(-0.178339\pi\) |
−0.531413 | + | 0.847113i | \(0.678339\pi\) | |||||||
\(734\) | 8.25022 | + | 9.54963i | 0.304521 | + | 0.352483i | ||||
\(735\) | 7.08205 | 0.261225 | ||||||||
\(736\) | −5.16281 | + | 2.31200i | −0.190304 | + | 0.0852214i | ||||
\(737\) | −63.4263 | −2.33634 | ||||||||
\(738\) | −11.8769 | − | 13.7476i | −0.437196 | − | 0.506055i | ||||
\(739\) | −2.27367 | − | 2.27367i | −0.0836383 | − | 0.0836383i | 0.664050 | − | 0.747688i | \(-0.268836\pi\) |
−0.747688 | + | 0.664050i | \(0.768836\pi\) | |||||||
\(740\) | 52.0271 | + | 7.63680i | 1.91255 | + | 0.280734i | ||||
\(741\) | 8.84494 | − | 8.84494i | 0.324927 | − | 0.324927i | ||||
\(742\) | 3.31651 | − | 45.4308i | 0.121753 | − | 1.66782i | ||||
\(743\) | 16.2979i | 0.597911i | 0.954267 | + | 0.298955i | \(0.0966381\pi\) | ||||
−0.954267 | + | 0.298955i | \(0.903362\pi\) | |||||||
\(744\) | 0.900473 | + | 0.200055i | 0.0330129 | + | 0.00733439i | ||||
\(745\) | 74.8160i | 2.74104i | ||||||||
\(746\) | −46.4482 | − | 3.39078i | −1.70059 | − | 0.124145i | ||||
\(747\) | 8.74814 | − | 8.74814i | 0.320078 | − | 0.320078i | ||||
\(748\) | −8.98967 | − | 12.0828i | −0.328695 | − | 0.441791i | ||||
\(749\) | 19.6227 | + | 19.6227i | 0.716999 | + | 0.716999i | ||||
\(750\) | −27.6370 | + | 23.8765i | −1.00916 | + | 0.871846i | ||||
\(751\) | 33.5084 | 1.22274 | 0.611369 | − | 0.791345i | \(-0.290619\pi\) | ||||
0.611369 | + | 0.791345i | \(0.290619\pi\) | |||||||
\(752\) | −14.6780 | − | 4.40390i | −0.535251 | − | 0.160594i | ||||
\(753\) | 30.5458 | 1.11315 | ||||||||
\(754\) | 7.01227 | − | 6.05811i | 0.255372 | − | 0.220623i | ||||
\(755\) | 30.0365 | + | 30.0365i | 1.09314 | + | 1.09314i | ||||
\(756\) | 19.6189 | − | 14.5965i | 0.713531 | − | 0.530871i | ||||
\(757\) | 26.9343 | − | 26.9343i | 0.978942 | − | 0.978942i | −0.0208406 | − | 0.999783i | \(-0.506634\pi\) |
0.999783 | + | 0.0208406i | \(0.00663424\pi\) | |||||||
\(758\) | 17.1477 | + | 1.25180i | 0.622831 | + | 0.0454675i | ||||
\(759\) | − | 4.98550i | − | 0.180962i | ||||||
\(760\) | −42.6433 | + | 27.1398i | −1.54683 | + | 0.984463i | ||||
\(761\) | 3.45256i | 0.125155i | 0.998040 | + | 0.0625776i | \(0.0199321\pi\) | ||||
−0.998040 | + | 0.0625776i | \(0.980068\pi\) | |||||||
\(762\) | −1.03590 | + | 14.1901i | −0.0375266 | + | 0.514053i | ||||
\(763\) | 32.8802 | − | 32.8802i | 1.19034 | − | 1.19034i | ||||
\(764\) | 1.36219 | − | 9.28016i | 0.0492822 | − | 0.335744i | ||||
\(765\) | −8.38277 | − | 8.38277i | −0.303080 | − | 0.303080i | ||||
\(766\) | 1.30230 | + | 1.50742i | 0.0470542 | + | 0.0544652i | ||||
\(767\) | 13.4490 | 0.485614 | ||||||||
\(768\) | 3.53820 | + | 17.2400i | 0.127674 | + | 0.622095i | ||||
\(769\) | 6.44819 | 0.232528 | 0.116264 | − | 0.993218i | \(-0.462908\pi\) | ||||
0.116264 | + | 0.993218i | \(0.462908\pi\) | |||||||
\(770\) | −38.7617 | − | 44.8667i | −1.39688 | − | 1.61689i | ||||
\(771\) | 2.07137 | + | 2.07137i | 0.0745986 | + | 0.0745986i | ||||
\(772\) | 2.29365 | − | 15.6259i | 0.0825503 | − | 0.562389i | ||||
\(773\) | 5.71870 | − | 5.71870i | 0.205687 | − | 0.205687i | −0.596744 | − | 0.802432i | \(-0.703539\pi\) |
0.802432 | + | 0.596744i | \(0.203539\pi\) | |||||||
\(774\) | 0.725880 | − | 9.94337i | 0.0260912 | − | 0.357407i | ||||
\(775\) | − | 3.22876i | − | 0.115980i | ||||||
\(776\) | −30.4595 | + | 19.3856i | −1.09343 | + | 0.695901i | ||||
\(777\) | − | 16.8356i | − | 0.603975i | ||||||
\(778\) | 0.921426 | + | 0.0672654i | 0.0330347 | + | 0.00241158i | ||||
\(779\) | 22.7499 | − | 22.7499i | 0.815101 | − | 0.815101i | ||||
\(780\) | −17.8463 | + | 13.2777i | −0.638999 | + | 0.475419i | ||||
\(781\) | 9.07765 | + | 9.07765i | 0.324824 | + | 0.324824i | ||||
\(782\) | 1.77792 | − | 1.53600i | 0.0635784 | − | 0.0549273i | ||||
\(783\) | 13.6110 | 0.486418 | ||||||||
\(784\) | −6.18820 | − | 1.85667i | −0.221007 | − | 0.0663098i | ||||
\(785\) | −6.90127 | −0.246317 | ||||||||
\(786\) | 16.4465 | − | 14.2086i | 0.586627 | − | 0.506805i | ||||
\(787\) | −30.3767 | − | 30.3767i | −1.08281 | − | 1.08281i | −0.996246 | − | 0.0865664i | \(-0.972411\pi\) |
−0.0865664 | − | 0.996246i | \(-0.527589\pi\) | |||||||
\(788\) | 13.0591 | + | 17.5524i | 0.465212 | + | 0.625280i | ||||
\(789\) | 3.83595 | − | 3.83595i | 0.136563 | − | 0.136563i | ||||
\(790\) | 37.9208 | + | 2.76827i | 1.34916 | + | 0.0984906i | ||||
\(791\) | 35.2268i | 1.25252i | ||||||||
\(792\) | 22.4022 | + | 4.97703i | 0.796027 | + | 0.176851i | ||||
\(793\) | 2.20536i | 0.0783147i | ||||||||
\(794\) | 2.07295 | − | 28.3960i | 0.0735661 | − | 1.00774i | ||||
\(795\) | −43.0354 | + | 43.0354i | −1.52631 | + | 1.52631i | ||||
\(796\) | 25.9864 | + | 3.81442i | 0.921064 | + | 0.135198i | ||||
\(797\) | 17.8450 | + | 17.8450i | 0.632102 | + | 0.632102i | 0.948595 | − | 0.316493i | \(-0.102505\pi\) |
−0.316493 | + | 0.948595i | \(0.602505\pi\) | |||||||
\(798\) | 10.5798 | + | 12.2461i | 0.374521 | + | 0.433508i | ||||
\(799\) | 6.36488 | 0.225173 | ||||||||
\(800\) | 56.2226 | − | 25.1775i | 1.98777 | − | 0.890158i | ||||
\(801\) | 11.3027 | 0.399360 | ||||||||
\(802\) | −17.1643 | − | 19.8677i | −0.606094 | − | 0.701554i | ||||
\(803\) | 34.5082 | + | 34.5082i | 1.21777 | + | 1.21777i | ||||
\(804\) | −30.4589 | − | 4.47092i | −1.07420 | − | 0.157677i | ||||
\(805\) | 6.54080 | − | 6.54080i | 0.230533 | − | 0.230533i | ||||
\(806\) | 0.0774364 | − | 1.06075i | 0.00272758 | − | 0.0373634i | ||||
\(807\) | 21.7787i | 0.766648i | ||||||||
\(808\) | 0.767784 | − | 3.45589i | 0.0270105 | − | 0.121578i | ||||
\(809\) | − | 33.9324i | − | 1.19300i | −0.802613 | − | 0.596500i | \(-0.796558\pi\) | ||
0.802613 | − | 0.596500i | \(-0.203442\pi\) | |||||||
\(810\) | −2.39123 | − | 0.174563i | −0.0840194 | − | 0.00613353i | ||||
\(811\) | −20.4080 | + | 20.4080i | −0.716622 | + | 0.716622i | −0.967912 | − | 0.251290i | \(-0.919145\pi\) |
0.251290 | + | 0.967912i | \(0.419145\pi\) | |||||||
\(812\) | 7.15649 | + | 9.61886i | 0.251144 | + | 0.337556i | ||||
\(813\) | −0.340897 | − | 0.340897i | −0.0119558 | − | 0.0119558i | ||||
\(814\) | 31.9924 | − | 27.6392i | 1.12133 | − | 0.968753i | ||||
\(815\) | −17.0778 | −0.598209 | ||||||||
\(816\) | −3.46535 | − | 6.43615i | −0.121312 | − | 0.225310i | ||||
\(817\) | 17.6559 | 0.617700 | ||||||||
\(818\) | −9.34364 | + | 8.07226i | −0.326693 | + | 0.282240i | ||||
\(819\) | −7.45054 | − | 7.45054i | −0.260343 | − | 0.260343i | ||||
\(820\) | −45.9022 | + | 34.1515i | −1.60297 | + | 1.19262i | ||||
\(821\) | 2.39536 | − | 2.39536i | 0.0835987 | − | 0.0835987i | −0.664071 | − | 0.747670i | \(-0.731173\pi\) |
0.747670 | + | 0.664071i | \(0.231173\pi\) | |||||||
\(822\) | −16.0848 | − | 1.17421i | −0.561021 | − | 0.0409553i | ||||
\(823\) | − | 14.7963i | − | 0.515768i | −0.966176 | − | 0.257884i | \(-0.916975\pi\) | ||
0.966176 | − | 0.257884i | \(-0.0830252\pi\) | |||||||
\(824\) | 28.4783 | + | 44.7464i | 0.992088 | + | 1.55881i | ||||
\(825\) | 54.2916i | 1.89019i | ||||||||
\(826\) | −1.26685 | + | 17.3537i | −0.0440792 | + | 0.603813i | ||||
\(827\) | 11.9039 | − | 11.9039i | 0.413939 | − | 0.413939i | −0.469169 | − | 0.883108i | \(-0.655447\pi\) |
0.883108 | + | 0.469169i | \(0.155447\pi\) | |||||||
\(828\) | −0.519945 | + | 3.54222i | −0.0180694 | + | 0.123101i | ||||
\(829\) | −12.3214 | − | 12.3214i | −0.427940 | − | 0.427940i | 0.459986 | − | 0.887926i | \(-0.347854\pi\) |
−0.887926 | + | 0.459986i | \(0.847854\pi\) | |||||||
\(830\) | −25.4707 | − | 29.4824i | −0.884102 | − | 1.02335i | ||||
\(831\) | −19.0480 | −0.660767 | ||||||||
\(832\) | 19.0748 | − | 6.92322i | 0.661300 | − | 0.240020i | ||||
\(833\) | 2.68342 | 0.0929750 | ||||||||
\(834\) | −13.1329 | − | 15.2013i | −0.454755 | − | 0.526379i | ||||
\(835\) | −22.2339 | − | 22.2339i | −0.769437 | − | 0.769437i | ||||
\(836\) | −5.90209 | + | 40.2091i | −0.204128 | + | 1.39066i | ||||
\(837\) | 1.10463 | − | 1.10463i | 0.0381816 | − | 0.0381816i | ||||
\(838\) | −0.914077 | + | 12.5214i | −0.0315763 | + | 0.432544i | ||||
\(839\) | 0.397877i | 0.0137362i | 0.999976 | + | 0.00686812i | \(0.00218621\pi\) | ||||
−0.999976 | + | 0.00686812i | \(0.997814\pi\) | |||||||
\(840\) | −15.4517 | − | 24.2785i | −0.533135 | − | 0.837687i | ||||
\(841\) | − | 22.3267i | − | 0.769887i | ||||||
\(842\) | −44.6288 | − | 3.25797i | −1.53801 | − | 0.112277i | ||||
\(843\) | −15.8054 | + | 15.8054i | −0.544367 | + | 0.544367i | ||||
\(844\) | 31.8859 | − | 23.7233i | 1.09756 | − | 0.816589i | ||||
\(845\) | −18.5073 | − | 18.5073i | −0.636670 | − | 0.636670i | ||||
\(846\) | −7.33913 | + | 6.34050i | −0.252324 | + | 0.217991i | ||||
\(847\) | −22.1448 | −0.760904 | ||||||||
\(848\) | 48.8862 | − | 26.3213i | 1.67876 | − | 0.903878i | ||||
\(849\) | 7.92226 | 0.271891 | ||||||||
\(850\) | −19.3614 | + | 16.7269i | −0.664091 | + | 0.573729i | ||||
\(851\) | 4.66394 | + | 4.66394i | 0.159878 | + | 0.159878i | ||||
\(852\) | 3.71944 | + | 4.99920i | 0.127426 | + | 0.171270i | ||||
\(853\) | 15.2062 | − | 15.2062i | 0.520649 | − | 0.520649i | −0.397118 | − | 0.917767i | \(-0.629990\pi\) |
0.917767 | + | 0.397118i | \(0.129990\pi\) | |||||||
\(854\) | −2.84567 | − | 0.207738i | −0.0973767 | − | 0.00710863i | ||||
\(855\) | 31.9909i | 1.09407i | ||||||||
\(856\) | −7.33587 | + | 33.0196i | −0.250735 | + | 1.12859i | ||||
\(857\) | 53.7293i | 1.83536i | 0.397324 | + | 0.917679i | \(0.369939\pi\) | ||||
−0.397324 | + | 0.917679i | \(0.630061\pi\) | |||||||
\(858\) | −1.30210 | + | 17.8366i | −0.0444528 | + | 0.608931i | ||||
\(859\) | −36.3370 | + | 36.3370i | −1.23980 | + | 1.23980i | −0.279721 | + | 0.960081i | \(0.590242\pi\) |
−0.960081 | + | 0.279721i | \(0.909758\pi\) | |||||||
\(860\) | −31.0642 | − | 4.55975i | −1.05928 | − | 0.155486i | ||||
\(861\) | 12.9524 | + | 12.9524i | 0.441418 | + | 0.441418i | ||||
\(862\) | 13.0102 | + | 15.0593i | 0.443128 | + | 0.512921i | ||||
\(863\) | 29.8492 | 1.01608 | 0.508040 | − | 0.861334i | \(-0.330370\pi\) | ||||
0.508040 | + | 0.861334i | \(0.330370\pi\) | |||||||
\(864\) | 27.8487 | + | 10.6212i | 0.947433 | + | 0.361341i | ||||
\(865\) | 70.5062 | 2.39728 | ||||||||
\(866\) | 16.6700 | + | 19.2955i | 0.566469 | + | 0.655689i | ||||
\(867\) | −11.0756 | − | 11.0756i | −0.376147 | − | 0.376147i | ||||
\(868\) | 1.36144 | + | 0.199839i | 0.0462102 | + | 0.00678296i | ||||
\(869\) | 21.6159 | − | 21.6159i | 0.733269 | − | 0.733269i | ||||
\(870\) | 1.16627 | − | 15.9760i | 0.0395402 | − | 0.541637i | ||||
\(871\) | 35.4960i | 1.20274i | ||||||||
\(872\) | 55.3283 | + | 12.2921i | 1.87365 | + | 0.416264i | ||||
\(873\) | 22.8507i | 0.773378i | ||||||||
\(874\) | −6.32342 | − | 0.461618i | −0.213893 | − | 0.0156145i | ||||
\(875\) | −38.5247 | + | 38.5247i | −1.30237 | + | 1.30237i | ||||
\(876\) | 14.1392 | + | 19.0042i | 0.477720 | + | 0.642092i | ||||
\(877\) | −10.5028 | − | 10.5028i | −0.354656 | − | 0.354656i | 0.507183 | − | 0.861839i | \(-0.330687\pi\) |
−0.861839 | + | 0.507183i | \(0.830687\pi\) | |||||||
\(878\) | −4.65938 | + | 4.02538i | −0.157247 | + | 0.135850i | ||||
\(879\) | −36.9902 | −1.24765 | ||||||||
\(880\) | 20.7686 | − | 69.2206i | 0.700109 | − | 2.33343i | ||||
\(881\) | −43.7619 | −1.47438 | −0.737188 | − | 0.675687i | \(-0.763847\pi\) | ||||
−0.737188 | + | 0.675687i | \(0.763847\pi\) | |||||||
\(882\) | −3.09416 | + | 2.67314i | −0.104186 | + | 0.0900093i | ||||
\(883\) | 39.4328 | + | 39.4328i | 1.32702 | + | 1.32702i | 0.907957 | + | 0.419064i | \(0.137642\pi\) |
0.419064 | + | 0.907957i | \(0.362358\pi\) | |||||||
\(884\) | −6.76203 | + | 5.03099i | −0.227432 | + | 0.169211i | ||||
\(885\) | 16.4387 | − | 16.4387i | 0.552582 | − | 0.552582i | ||||
\(886\) | 23.4461 | + | 1.71159i | 0.787686 | + | 0.0575021i | ||||
\(887\) | − | 44.0403i | − | 1.47873i | −0.673306 | − | 0.739364i | \(-0.735126\pi\) | ||
0.673306 | − | 0.739364i | \(-0.264874\pi\) | |||||||
\(888\) | 17.3118 | − | 11.0179i | 0.580947 | − | 0.369737i | ||||
\(889\) | 21.2243i | 0.711840i | ||||||||
\(890\) | 2.59154 | − | 35.4999i | 0.0868686 | − | 1.18996i | ||||
\(891\) | −1.36307 | + | 1.36307i | −0.0456645 | + | 0.0456645i | ||||
\(892\) | −8.51051 | + | 57.9794i | −0.284953 | + | 1.94129i | ||||
\(893\) | −12.1451 | − | 12.1451i | −0.406419 | − | 0.406419i | ||||
\(894\) | 19.0869 | + | 22.0931i | 0.638361 | + | 0.738903i | ||||
\(895\) | −56.4356 | −1.88644 | ||||||||
\(896\) | 7.13652 | + | 25.2651i | 0.238415 | + | 0.844049i | ||||
\(897\) | −2.79009 | −0.0931585 | ||||||||
\(898\) | −10.2620 | − | 11.8783i | −0.342449 | − | 0.396385i | ||||
\(899\) | 0.541584 | + | 0.541584i | 0.0180629 | + | 0.0180629i | ||||
\(900\) | 5.66216 | − | 38.5745i | 0.188739 | − | 1.28582i | ||||
\(901\) | −16.3063 | + | 16.3063i | −0.543242 | + | 0.543242i | ||||
\(902\) | −3.34910 | + | 45.8773i | −0.111513 | + | 1.52755i | ||||
\(903\) | 10.0522i | 0.334515i | ||||||||
\(904\) | −36.2232 | + | 23.0538i | −1.20477 | + | 0.766758i | ||||
\(905\) | − | 48.4547i | − | 1.61069i | ||||||
\(906\) | 16.5326 | + | 1.20690i | 0.549259 | + | 0.0400966i | ||||
\(907\) | 4.11192 | − | 4.11192i | 0.136534 | − | 0.136534i | −0.635537 | − | 0.772071i | \(-0.719221\pi\) |
0.772071 | + | 0.635537i | \(0.219221\pi\) | |||||||
\(908\) | −7.45349 | + | 5.54544i | −0.247353 | + | 0.184032i | ||||
\(909\) | −1.58430 | − | 1.58430i | −0.0525478 | − | 0.0525478i | ||||
\(910\) | −25.1093 | + | 21.6927i | −0.832365 | + | 0.719106i | ||||
\(911\) | −39.5813 | −1.31139 | −0.655694 | − | 0.755027i | \(-0.727624\pi\) | ||||
−0.655694 | + | 0.755027i | \(0.727624\pi\) | |||||||
\(912\) | −5.66867 | + | 18.8934i | −0.187708 | + | 0.625623i | ||||
\(913\) | −31.3248 | −1.03670 | ||||||||
\(914\) | 25.6000 | − | 22.1166i | 0.846773 | − | 0.731553i | ||||
\(915\) | 2.69563 | + | 2.69563i | 0.0891147 | + | 0.0891147i | ||||
\(916\) | 14.8777 | + | 19.9967i | 0.491572 | + | 0.660709i | ||||
\(917\) | 22.9256 | − | 22.9256i | 0.757071 | − | 0.757071i | ||||
\(918\) | −12.3466 | − | 0.901320i | −0.407499 | − | 0.0297480i | ||||
\(919\) | − | 20.5604i | − | 0.678226i | −0.940746 | − | 0.339113i | \(-0.889873\pi\) | ||
0.940746 | − | 0.339113i | \(-0.110127\pi\) | |||||||
\(920\) | 11.0064 | + | 2.44525i | 0.362869 | + | 0.0806175i | ||||
\(921\) | − | 27.5456i | − | 0.907657i | ||||||
\(922\) | 2.86900 | − | 39.3006i | 0.0944854 | − | 1.29430i | ||||
\(923\) | 5.08023 | − | 5.08023i | 0.167218 | − | 0.167218i | ||||
\(924\) | −22.8926 | − | 3.36029i | −0.753111 | − | 0.110545i | ||||
\(925\) | −50.7899 | − | 50.7899i | −1.66996 | − | 1.66996i | ||||
\(926\) | 21.0764 | + | 24.3959i | 0.692612 | + | 0.801699i | ||||
\(927\) | 33.5687 | 1.10254 | ||||||||
\(928\) | −5.20744 | + | 13.6539i | −0.170943 | + | 0.448210i | ||||
\(929\) | 8.07522 | 0.264939 | 0.132470 | − | 0.991187i | \(-0.457709\pi\) | ||||
0.132470 | + | 0.991187i | \(0.457709\pi\) | |||||||
\(930\) | −1.20191 | − | 1.39122i | −0.0394123 | − | 0.0456198i | ||||
\(931\) | −5.12033 | − | 5.12033i | −0.167812 | − | 0.167812i | ||||
\(932\) | −42.1952 | − | 6.19363i | −1.38215 | − | 0.202879i | ||||
\(933\) | 7.74406 | − | 7.74406i | 0.253529 | − | 0.253529i | ||||
\(934\) | −2.54524 | + | 34.8656i | −0.0832828 | + | 1.14084i | ||||
\(935\) | 30.0165i | 0.981644i | ||||||||
\(936\) | 2.78535 | − | 12.5372i | 0.0910421 | − | 0.409791i | ||||
\(937\) | 26.3040i | 0.859313i | 0.902992 | + | 0.429657i | \(0.141365\pi\) | ||||
−0.902992 | + | 0.429657i | \(0.858635\pi\) | |||||||
\(938\) | −45.8019 | − | 3.34360i | −1.49549 | − | 0.109172i | ||||
\(939\) | 26.5395 | − | 26.5395i | 0.866085 | − | 0.866085i | ||||
\(940\) | 18.2318 | + | 24.5049i | 0.594655 | + | 0.799260i | ||||
\(941\) | 17.7772 | + | 17.7772i | 0.579521 | + | 0.579521i | 0.934771 | − | 0.355250i | \(-0.115604\pi\) |
−0.355250 | + | 0.934771i | \(0.615604\pi\) | |||||||
\(942\) | −2.03794 | + | 1.76064i | −0.0663996 | + | 0.0573646i | ||||
\(943\) | −7.17636 | −0.233695 | ||||||||
\(944\) | −18.6736 | + | 10.0543i | −0.607775 | + | 0.327239i | ||||
\(945\) | −48.7378 | −1.58544 | ||||||||
\(946\) | −19.1019 | + | 16.5027i | −0.621056 | + | 0.536549i | ||||
\(947\) | 21.2907 | + | 21.2907i | 0.691854 | + | 0.691854i | 0.962640 | − | 0.270786i | \(-0.0872834\pi\) |
−0.270786 | + | 0.962640i | \(0.587283\pi\) | |||||||
\(948\) | 11.9042 | − | 8.85680i | 0.386631 | − | 0.287656i | ||||
\(949\) | 19.3122 | − | 19.3122i | 0.626901 | − | 0.626901i | ||||
\(950\) | 68.8614 | + | 5.02698i | 2.23416 | + | 0.163097i | ||||
\(951\) | 10.7248i | 0.347775i | ||||||||
\(952\) | −5.85473 | − | 9.19922i | −0.189753 | − | 0.298148i | ||||
\(953\) | 10.8181i | 0.350434i | 0.984530 | + | 0.175217i | \(0.0560627\pi\) | ||||
−0.984530 | + | 0.175217i | \(0.943937\pi\) | |||||||
\(954\) | 2.55841 | − | 35.0461i | 0.0828316 | − | 1.13466i | ||||
\(955\) | −13.2190 | + | 13.2190i | −0.427758 | + | 0.427758i | ||||
\(956\) | 1.05958 | − | 7.21861i | 0.0342694 | − | 0.233467i | ||||
\(957\) | −9.10676 | − | 9.10676i | −0.294380 | − | 0.294380i | ||||
\(958\) | −25.0367 | − | 28.9800i | −0.808898 | − | 0.936300i | ||||
\(959\) | −24.0582 | −0.776880 | ||||||||
\(960\) | 14.8530 | − | 31.7775i | 0.479377 | − | 1.02562i | ||||
\(961\) | −30.9121 | −0.997164 | ||||||||
\(962\) | −15.4680 | − | 17.9043i | −0.498709 | − | 0.577256i | ||||
\(963\) | 15.1373 | + | 15.1373i | 0.487793 | + | 0.487793i | ||||
\(964\) | 6.30995 | − | 42.9877i | 0.203230 | − | 1.38454i | ||||
\(965\) | −22.2582 | + | 22.2582i | −0.716517 | + | 0.716517i | ||||
\(966\) | 0.262817 | − | 3.60017i | 0.00845600 | − | 0.115834i | ||||
\(967\) | 14.4928i | 0.466057i | 0.972470 | + | 0.233029i | \(0.0748636\pi\) | ||||
−0.972470 | + | 0.233029i | \(0.925136\pi\) | |||||||
\(968\) | −14.4924 | − | 22.7712i | −0.465804 | − | 0.731893i | ||||
\(969\) | − | 8.19284i | − | 0.263192i | ||||||
\(970\) | 71.7704 | + | 5.23934i | 2.30441 | + | 0.168225i | ||||
\(971\) | 6.22476 | − | 6.22476i | 0.199762 | − | 0.199762i | −0.600136 | − | 0.799898i | \(-0.704887\pi\) |
0.799898 | + | 0.600136i | \(0.204887\pi\) | |||||||
\(972\) | 24.6129 | − | 18.3121i | 0.789458 | − | 0.587361i | ||||
\(973\) | −21.1899 | − | 21.1899i | −0.679318 | − | 0.679318i | ||||
\(974\) | 9.73783 | − | 8.41281i | 0.312020 | − | 0.269564i | ||||
\(975\) | 30.3839 | 0.973062 | ||||||||
\(976\) | −1.64870 | − | 3.06211i | −0.0527736 | − | 0.0980156i | ||||
\(977\) | 19.4237 | 0.621421 | 0.310710 | − | 0.950505i | \(-0.399433\pi\) | ||||
0.310710 | + | 0.950505i | \(0.399433\pi\) | |||||||
\(978\) | −5.04305 | + | 4.35685i | −0.161259 | + | 0.139317i | ||||
\(979\) | −20.2359 | − | 20.2359i | −0.646742 | − | 0.646742i | ||||
\(980\) | 7.68647 | + | 10.3312i | 0.245535 | + | 0.330018i | ||||
\(981\) | 25.3644 | − | 25.3644i | 0.809822 | − | 0.809822i | ||||
\(982\) | −31.0418 | − | 2.26609i | −0.990583 | − | 0.0723139i | ||||
\(983\) | − | 9.44802i | − | 0.301345i | −0.988584 | − | 0.150672i | \(-0.951856\pi\) | ||
0.988584 | − | 0.150672i | \(-0.0481439\pi\) | |||||||
\(984\) | −4.84221 | + | 21.7954i | −0.154364 | + | 0.694811i | ||||
\(985\) | − | 43.6044i | − | 1.38935i | ||||||
\(986\) | 0.441905 | − | 6.05338i | 0.0140731 | − | 0.192779i | ||||
\(987\) | 6.91465 | − | 6.91465i | 0.220096 | − | 0.220096i | ||||
\(988\) | 22.5027 | + | 3.30306i | 0.715906 | + | 0.105084i | ||||
\(989\) | −2.78473 | − | 2.78473i | −0.0885492 | − | 0.0885492i | ||||
\(990\) | −29.9015 | − | 34.6110i | −0.950332 | − | 1.10001i | ||||
\(991\) | 31.3840 | 0.996947 | 0.498474 | − | 0.866905i | \(-0.333894\pi\) | ||||
0.498474 | + | 0.866905i | \(0.333894\pi\) | |||||||
\(992\) | 0.685487 | + | 1.53073i | 0.0217642 | + | 0.0486006i | ||||
\(993\) | 33.5890 | 1.06591 | ||||||||
\(994\) | 6.07668 | + | 7.03376i | 0.192741 | + | 0.223097i | ||||
\(995\) | −37.0161 | − | 37.0161i | −1.17349 | − | 1.17349i | ||||
\(996\) | −15.0430 | − | 2.20808i | −0.476654 | − | 0.0699657i | ||||
\(997\) | −24.3815 | + | 24.3815i | −0.772169 | + | 0.772169i | −0.978485 | − | 0.206317i | \(-0.933852\pi\) |
0.206317 | + | 0.978485i | \(0.433852\pi\) | |||||||
\(998\) | −2.43648 | + | 33.3758i | −0.0771255 | + | 1.05649i | ||||
\(999\) | − | 34.7527i | − | 1.09953i |
(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 | 368.2.j.e.93.6 | ✓ | 46 | |
4.3 | odd | 2 | 1472.2.j.e.1105.9 | 46 | |||
16.5 | even | 4 | inner | 368.2.j.e.277.6 | yes | 46 | |
16.11 | odd | 4 | 1472.2.j.e.369.9 | 46 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
368.2.j.e.93.6 | ✓ | 46 | 1.1 | even | 1 | trivial | |
368.2.j.e.277.6 | yes | 46 | 16.5 | even | 4 | inner | |
1472.2.j.e.369.9 | 46 | 16.11 | odd | 4 | |||
1472.2.j.e.1105.9 | 46 | 4.3 | odd | 2 |