Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(89,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.n (of order \(6\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 89.20 | ||
Character | \(\chi\) | \(=\) | 231.89 |
Dual form | 231.2.n.a.122.20 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33690 | + | 0.771860i | 0.945331 | + | 0.545787i | 0.891627 | − | 0.452770i | \(-0.149564\pi\) |
0.0537036 | + | 0.998557i | \(0.482897\pi\) | |||||||
\(3\) | 1.06526 | + | 1.36573i | 0.615029 | + | 0.788504i | ||||
\(4\) | 0.191534 | + | 0.331747i | 0.0957671 | + | 0.165874i | ||||
\(5\) | 0.895146 | − | 1.55044i | 0.400321 | − | 0.693377i | −0.593443 | − | 0.804876i | \(-0.702232\pi\) |
0.993765 | + | 0.111499i | \(0.0355652\pi\) | |||||||
\(6\) | 0.369997 | + | 2.64808i | 0.151051 | + | 1.08107i | ||||
\(7\) | −0.181616 | + | 2.63951i | −0.0686444 | + | 0.997641i | ||||
\(8\) | − | 2.49609i | − | 0.882500i | ||||||
\(9\) | −0.730435 | + | 2.90972i | −0.243478 | + | 0.969906i | ||||
\(10\) | 2.39344 | − | 1.38185i | 0.756872 | − | 0.436980i | ||||
\(11\) | −0.866025 | + | 0.500000i | −0.261116 | + | 0.150756i | ||||
\(12\) | −0.249043 | + | 0.614981i | −0.0718924 | + | 0.177530i | ||||
\(13\) | − | 0.312651i | − | 0.0867138i | −0.999060 | − | 0.0433569i | \(-0.986195\pi\) | ||
0.999060 | − | 0.0433569i | \(-0.0138053\pi\) | |||||||
\(14\) | −2.28013 | + | 3.38858i | −0.609391 | + | 0.905636i | ||||
\(15\) | 3.07104 | − | 0.429095i | 0.792940 | − | 0.110792i | ||||
\(16\) | 2.30970 | − | 4.00051i | 0.577424 | − | 1.00013i | ||||
\(17\) | −2.01601 | − | 3.49184i | −0.488955 | − | 0.846895i | 0.510964 | − | 0.859602i | \(-0.329289\pi\) |
−0.999919 | + | 0.0127068i | \(0.995955\pi\) | |||||||
\(18\) | −3.22241 | + | 3.32621i | −0.759530 | + | 0.783995i | ||||
\(19\) | −2.64410 | − | 1.52657i | −0.606599 | − | 0.350220i | 0.165034 | − | 0.986288i | \(-0.447227\pi\) |
−0.771633 | + | 0.636068i | \(0.780560\pi\) | |||||||
\(20\) | 0.685804 | 0.153350 | ||||||||
\(21\) | −3.79833 | + | 2.56373i | −0.828863 | + | 0.559452i | ||||
\(22\) | −1.54372 | −0.329122 | ||||||||
\(23\) | 1.00775 | + | 0.581827i | 0.210131 | + | 0.121319i | 0.601372 | − | 0.798969i | \(-0.294621\pi\) |
−0.391241 | + | 0.920288i | \(0.627954\pi\) | |||||||
\(24\) | 3.40898 | − | 2.65899i | 0.695855 | − | 0.542763i | ||||
\(25\) | 0.897428 | + | 1.55439i | 0.179486 | + | 0.310878i | ||||
\(26\) | 0.241323 | − | 0.417983i | 0.0473273 | − | 0.0819733i | ||||
\(27\) | −4.75199 | + | 2.10203i | −0.914522 | + | 0.404537i | ||||
\(28\) | −0.910436 | + | 0.445306i | −0.172056 | + | 0.0841549i | ||||
\(29\) | − | 8.12603i | − | 1.50897i | −0.656319 | − | 0.754483i | \(-0.727888\pi\) | ||
0.656319 | − | 0.754483i | \(-0.272112\pi\) | |||||||
\(30\) | 4.43688 | + | 1.79676i | 0.810059 | + | 0.328041i | ||||
\(31\) | −7.71143 | + | 4.45219i | −1.38501 | + | 0.799638i | −0.992748 | − | 0.120215i | \(-0.961642\pi\) |
−0.392265 | + | 0.919852i | \(0.628308\pi\) | |||||||
\(32\) | 1.85232 | − | 1.06944i | 0.327447 | − | 0.189051i | ||||
\(33\) | −1.60541 | − | 0.650126i | −0.279466 | − | 0.113172i | ||||
\(34\) | − | 6.22432i | − | 1.06746i | ||||||
\(35\) | 3.92982 | + | 2.64433i | 0.664262 | + | 0.446973i | ||||
\(36\) | −1.10519 | + | 0.314991i | −0.184199 | + | 0.0524985i | ||||
\(37\) | −0.101409 | + | 0.175646i | −0.0166716 | + | 0.0288760i | −0.874241 | − | 0.485493i | \(-0.838640\pi\) |
0.857569 | + | 0.514369i | \(0.171974\pi\) | |||||||
\(38\) | −2.35660 | − | 4.08175i | −0.382291 | − | 0.662148i | ||||
\(39\) | 0.426997 | − | 0.333055i | 0.0683742 | − | 0.0533315i | ||||
\(40\) | −3.87003 | − | 2.23436i | −0.611905 | − | 0.353284i | ||||
\(41\) | −1.11154 | −0.173594 | −0.0867968 | − | 0.996226i | \(-0.527663\pi\) | ||||
−0.0867968 | + | 0.996226i | \(0.527663\pi\) | |||||||
\(42\) | −7.05682 | + | 0.495677i | −1.08889 | + | 0.0764847i | ||||
\(43\) | 9.88060 | 1.50678 | 0.753388 | − | 0.657576i | \(-0.228418\pi\) | ||||
0.753388 | + | 0.657576i | \(0.228418\pi\) | |||||||
\(44\) | −0.331747 | − | 0.191534i | −0.0500128 | − | 0.0288749i | ||||
\(45\) | 3.85749 | + | 3.73712i | 0.575041 | + | 0.557096i | ||||
\(46\) | 0.898177 | + | 1.55569i | 0.132429 | + | 0.229374i | ||||
\(47\) | 3.16903 | − | 5.48892i | 0.462251 | − | 0.800642i | −0.536822 | − | 0.843696i | \(-0.680375\pi\) |
0.999073 | + | 0.0430536i | \(0.0137086\pi\) | |||||||
\(48\) | 7.92405 | − | 1.10717i | 1.14374 | − | 0.159806i | ||||
\(49\) | −6.93403 | − | 0.958754i | −0.990576 | − | 0.136965i | ||||
\(50\) | 2.77075i | 0.391844i | ||||||||
\(51\) | 2.62133 | − | 6.47305i | 0.367059 | − | 0.906409i | ||||
\(52\) | 0.103721 | − | 0.0598834i | 0.0143835 | − | 0.00830434i | ||||
\(53\) | 6.82866 | − | 3.94253i | 0.937988 | − | 0.541548i | 0.0486590 | − | 0.998815i | \(-0.484505\pi\) |
0.889329 | + | 0.457268i | \(0.151172\pi\) | |||||||
\(54\) | −7.97542 | − | 0.857662i | −1.08532 | − | 0.116713i | ||||
\(55\) | 1.79029i | 0.241403i | ||||||||
\(56\) | 6.58845 | + | 0.453329i | 0.880419 | + | 0.0605787i | ||||
\(57\) | −0.731775 | − | 5.23733i | −0.0969259 | − | 0.693702i | ||||
\(58\) | 6.27216 | − | 10.8637i | 0.823574 | − | 1.42647i | ||||
\(59\) | 4.80421 | + | 8.32114i | 0.625455 | + | 1.08332i | 0.988453 | + | 0.151530i | \(0.0484199\pi\) |
−0.362998 | + | 0.931790i | \(0.618247\pi\) | |||||||
\(60\) | 0.730561 | + | 0.936623i | 0.0943150 | + | 0.120918i | ||||
\(61\) | −1.71488 | − | 0.990087i | −0.219568 | − | 0.126768i | 0.386182 | − | 0.922423i | \(-0.373794\pi\) |
−0.605750 | + | 0.795655i | \(0.707127\pi\) | |||||||
\(62\) | −13.7459 | −1.74573 | ||||||||
\(63\) | −7.54757 | − | 2.45644i | −0.950905 | − | 0.309483i | ||||
\(64\) | −5.93697 | −0.742121 | ||||||||
\(65\) | −0.484746 | − | 0.279868i | −0.0601254 | − | 0.0347134i | ||||
\(66\) | −1.64446 | − | 2.10830i | −0.202420 | − | 0.259514i | ||||
\(67\) | 6.00058 | + | 10.3933i | 0.733087 | + | 1.26974i | 0.955557 | + | 0.294805i | \(0.0952547\pi\) |
−0.222470 | + | 0.974939i | \(0.571412\pi\) | |||||||
\(68\) | 0.772271 | − | 1.33761i | 0.0936517 | − | 0.162209i | ||||
\(69\) | 0.278903 | + | 1.99612i | 0.0335760 | + | 0.240304i | ||||
\(70\) | 3.21273 | + | 6.56848i | 0.383995 | + | 0.785083i | ||||
\(71\) | 11.0049i | 1.30604i | 0.757340 | + | 0.653021i | \(0.226499\pi\) | ||||
−0.757340 | + | 0.653021i | \(0.773501\pi\) | |||||||
\(72\) | 7.26291 | + | 1.82323i | 0.855943 | + | 0.214870i | ||||
\(73\) | −8.06212 | + | 4.65466i | −0.943599 | + | 0.544787i | −0.891087 | − | 0.453833i | \(-0.850056\pi\) |
−0.0525125 | + | 0.998620i | \(0.516723\pi\) | |||||||
\(74\) | −0.271148 | + | 0.156547i | −0.0315203 | + | 0.0181982i | ||||
\(75\) | −1.16688 | + | 2.88148i | −0.134740 | + | 0.332724i | ||||
\(76\) | − | 1.16957i | − | 0.134158i | ||||||
\(77\) | −1.16247 | − | 2.37669i | −0.132476 | − | 0.270849i | ||||
\(78\) | 0.827924 | − | 0.115680i | 0.0937440 | − | 0.0130982i | ||||
\(79\) | 1.32894 | − | 2.30180i | 0.149518 | − | 0.258973i | −0.781531 | − | 0.623866i | \(-0.785561\pi\) |
0.931049 | + | 0.364893i | \(0.118895\pi\) | |||||||
\(80\) | −4.13503 | − | 7.16209i | −0.462311 | − | 0.800745i | ||||
\(81\) | −7.93293 | − | 4.25072i | −0.881436 | − | 0.472303i | ||||
\(82\) | −1.48602 | − | 0.857954i | −0.164103 | − | 0.0947452i | ||||
\(83\) | −12.5950 | −1.38248 | −0.691238 | − | 0.722627i | \(-0.742935\pi\) | ||||
−0.691238 | + | 0.722627i | \(0.742935\pi\) | |||||||
\(84\) | −1.57802 | − | 0.769041i | −0.172176 | − | 0.0839093i | ||||
\(85\) | −7.21850 | −0.782957 | ||||||||
\(86\) | 13.2094 | + | 7.62643i | 1.42440 | + | 0.822379i | ||||
\(87\) | 11.0980 | − | 8.65635i | 1.18983 | − | 0.928058i | ||||
\(88\) | 1.24804 | + | 2.16168i | 0.133042 | + | 0.230435i | ||||
\(89\) | 4.29818 | − | 7.44467i | 0.455606 | − | 0.789133i | −0.543117 | − | 0.839657i | \(-0.682756\pi\) |
0.998723 | + | 0.0505241i | \(0.0160892\pi\) | |||||||
\(90\) | 2.27255 | + | 7.97359i | 0.239548 | + | 0.840491i | ||||
\(91\) | 0.825246 | + | 0.0567824i | 0.0865093 | + | 0.00595242i | ||||
\(92\) | 0.445759i | 0.0464736i | ||||||||
\(93\) | −14.2952 | − | 5.78897i | −1.48234 | − | 0.600288i | ||||
\(94\) | 8.47336 | − | 4.89210i | 0.873960 | − | 0.504581i | ||||
\(95\) | −4.73372 | + | 2.73301i | −0.485669 | + | 0.280401i | ||||
\(96\) | 3.43377 | + | 1.39054i | 0.350457 | + | 0.141921i | ||||
\(97\) | 5.61659i | 0.570279i | 0.958486 | + | 0.285139i | \(0.0920399\pi\) | ||||
−0.958486 | + | 0.285139i | \(0.907960\pi\) | |||||||
\(98\) | −8.53008 | − | 6.63386i | −0.861668 | − | 0.670121i | ||||
\(99\) | −0.822284 | − | 2.88511i | −0.0826426 | − | 0.289964i | ||||
\(100\) | −0.343777 | + | 0.595439i | −0.0343777 | + | 0.0595439i | ||||
\(101\) | 5.74083 | + | 9.94341i | 0.571234 | + | 0.989406i | 0.996440 | + | 0.0843093i | \(0.0268684\pi\) |
−0.425206 | + | 0.905097i | \(0.639798\pi\) | |||||||
\(102\) | 8.50074 | − | 6.63053i | 0.841698 | − | 0.656520i | ||||
\(103\) | −3.35333 | − | 1.93605i | −0.330414 | − | 0.190764i | 0.325611 | − | 0.945504i | \(-0.394430\pi\) |
−0.656025 | + | 0.754739i | \(0.727763\pi\) | |||||||
\(104\) | −0.780405 | −0.0765250 | ||||||||
\(105\) | 0.574850 | + | 8.18398i | 0.0560996 | + | 0.798675i | ||||
\(106\) | 12.1723 | 1.18228 | ||||||||
\(107\) | −5.77236 | − | 3.33267i | −0.558035 | − | 0.322182i | 0.194321 | − | 0.980938i | \(-0.437750\pi\) |
−0.752357 | + | 0.658756i | \(0.771083\pi\) | |||||||
\(108\) | −1.60751 | − | 1.17385i | −0.154683 | − | 0.112954i | ||||
\(109\) | 5.82190 | + | 10.0838i | 0.557637 | + | 0.965855i | 0.997693 | + | 0.0678848i | \(0.0216250\pi\) |
−0.440057 | + | 0.897970i | \(0.645042\pi\) | |||||||
\(110\) | −1.38185 | + | 2.39344i | −0.131755 | + | 0.228206i | ||||
\(111\) | −0.347912 | + | 0.0486112i | −0.0330223 | + | 0.00461398i | ||||
\(112\) | 10.1399 | + | 6.82303i | 0.958132 | + | 0.644716i | ||||
\(113\) | 6.10224i | 0.574050i | 0.957923 | + | 0.287025i | \(0.0926663\pi\) | ||||
−0.957923 | + | 0.287025i | \(0.907334\pi\) | |||||||
\(114\) | 3.06418 | − | 7.56662i | 0.286986 | − | 0.708679i | ||||
\(115\) | 1.80417 | − | 1.04164i | 0.168240 | − | 0.0971333i | ||||
\(116\) | 2.69579 | − | 1.55641i | 0.250298 | − | 0.144509i | ||||
\(117\) | 0.909727 | + | 0.228371i | 0.0841043 | + | 0.0211130i | ||||
\(118\) | 14.8327i | 1.36546i | ||||||||
\(119\) | 9.58289 | − | 4.68712i | 0.878462 | − | 0.429667i | ||||
\(120\) | −1.07106 | − | 7.66559i | −0.0977738 | − | 0.699770i | ||||
\(121\) | 0.500000 | − | 0.866025i | 0.0454545 | − | 0.0787296i | ||||
\(122\) | −1.52842 | − | 2.64730i | −0.138376 | − | 0.239675i | ||||
\(123\) | −1.18408 | − | 1.51807i | −0.106765 | − | 0.136879i | ||||
\(124\) | −2.95400 | − | 1.70550i | −0.265277 | − | 0.153158i | ||||
\(125\) | 12.1648 | 1.08805 | ||||||||
\(126\) | −8.19432 | − | 9.10969i | −0.730008 | − | 0.811555i | ||||
\(127\) | 3.51847 | 0.312213 | 0.156107 | − | 0.987740i | \(-0.450106\pi\) | ||||
0.156107 | + | 0.987740i | \(0.450106\pi\) | |||||||
\(128\) | −11.6418 | − | 6.72138i | −1.02900 | − | 0.594092i | ||||
\(129\) | 10.5254 | + | 13.4942i | 0.926712 | + | 1.18810i | ||||
\(130\) | −0.432038 | − | 0.748312i | −0.0378923 | − | 0.0656313i | ||||
\(131\) | −3.14034 | + | 5.43923i | −0.274373 | + | 0.475228i | −0.969977 | − | 0.243198i | \(-0.921804\pi\) |
0.695604 | + | 0.718426i | \(0.255137\pi\) | |||||||
\(132\) | −0.0918134 | − | 0.657111i | −0.00799133 | − | 0.0571942i | ||||
\(133\) | 4.50962 | − | 6.70189i | 0.391034 | − | 0.581128i | ||||
\(134\) | 18.5264i | 1.60044i | ||||||||
\(135\) | −0.994653 | + | 9.24930i | −0.0856061 | + | 0.796053i | ||||
\(136\) | −8.71594 | + | 5.03215i | −0.747385 | + | 0.431503i | ||||
\(137\) | −9.72336 | + | 5.61379i | −0.830723 | + | 0.479618i | −0.854100 | − | 0.520109i | \(-0.825891\pi\) |
0.0233773 | + | 0.999727i | \(0.492558\pi\) | |||||||
\(138\) | −1.16786 | + | 2.88388i | −0.0994145 | + | 0.245492i | ||||
\(139\) | − | 19.6324i | − | 1.66520i | −0.553878 | − | 0.832598i | \(-0.686852\pi\) | ||
0.553878 | − | 0.832598i | \(-0.313148\pi\) | |||||||
\(140\) | −0.124553 | + | 1.81019i | −0.0105266 | + | 0.152989i | ||||
\(141\) | 10.8722 | − | 1.51910i | 0.915607 | − | 0.127931i | ||||
\(142\) | −8.49424 | + | 14.7125i | −0.712821 | + | 1.23464i | ||||
\(143\) | 0.156326 | + | 0.270764i | 0.0130726 | + | 0.0226424i | ||||
\(144\) | 9.95329 | + | 9.64269i | 0.829441 | + | 0.803557i | ||||
\(145\) | −12.5989 | − | 7.27398i | −1.04628 | − | 0.604071i | ||||
\(146\) | −14.3710 | −1.18935 | ||||||||
\(147\) | −6.07716 | − | 10.4913i | −0.501236 | − | 0.865311i | ||||
\(148\) | −0.0776933 | −0.00638635 | ||||||||
\(149\) | −3.32787 | − | 1.92135i | −0.272630 | − | 0.157403i | 0.357452 | − | 0.933931i | \(-0.383645\pi\) |
−0.630082 | + | 0.776528i | \(0.716979\pi\) | |||||||
\(150\) | −3.78410 | + | 2.95158i | −0.308971 | + | 0.240995i | ||||
\(151\) | 9.15015 | + | 15.8485i | 0.744629 | + | 1.28974i | 0.950368 | + | 0.311128i | \(0.100707\pi\) |
−0.205739 | + | 0.978607i | \(0.565960\pi\) | |||||||
\(152\) | −3.81046 | + | 6.59992i | −0.309069 | + | 0.535324i | ||||
\(153\) | 11.6328 | − | 3.31547i | 0.940459 | − | 0.268040i | ||||
\(154\) | 0.280364 | − | 4.07466i | 0.0225924 | − | 0.328346i | ||||
\(155\) | 15.9414i | 1.28045i | ||||||||
\(156\) | 0.192275 | + | 0.0778635i | 0.0153943 | + | 0.00623407i | ||||
\(157\) | −14.2725 | + | 8.24021i | −1.13907 | + | 0.657641i | −0.946199 | − | 0.323584i | \(-0.895112\pi\) |
−0.192868 | + | 0.981225i | \(0.561779\pi\) | |||||||
\(158\) | 3.55333 | − | 2.05152i | 0.282688 | − | 0.163210i | ||||
\(159\) | 12.6587 | + | 5.12628i | 1.00390 | + | 0.406540i | ||||
\(160\) | − | 3.82921i | − | 0.302725i | ||||||
\(161\) | −1.71876 | + | 2.55431i | −0.135457 | + | 0.201308i | ||||
\(162\) | −7.32457 | − | 11.8059i | −0.575473 | − | 0.927559i | ||||
\(163\) | 11.9353 | − | 20.6726i | 0.934846 | − | 1.61920i | 0.159938 | − | 0.987127i | \(-0.448871\pi\) |
0.774908 | − | 0.632074i | \(-0.217796\pi\) | |||||||
\(164\) | −0.212898 | − | 0.368751i | −0.0166246 | − | 0.0287946i | ||||
\(165\) | −2.44505 | + | 1.90713i | −0.190347 | + | 0.148470i | ||||
\(166\) | −16.8382 | − | 9.72154i | −1.30690 | − | 0.754538i | ||||
\(167\) | 18.9731 | 1.46818 | 0.734091 | − | 0.679052i | \(-0.237609\pi\) | ||||
0.734091 | + | 0.679052i | \(0.237609\pi\) | |||||||
\(168\) | 6.39930 | + | 9.48096i | 0.493717 | + | 0.731472i | ||||
\(169\) | 12.9022 | 0.992481 | ||||||||
\(170\) | −9.65042 | − | 5.57167i | −0.740153 | − | 0.427328i | ||||
\(171\) | 6.37325 | − | 6.57854i | 0.487375 | − | 0.503073i | ||||
\(172\) | 1.89247 | + | 3.27786i | 0.144300 | + | 0.249934i | ||||
\(173\) | 1.92741 | − | 3.33838i | 0.146539 | − | 0.253812i | −0.783407 | − | 0.621509i | \(-0.786520\pi\) |
0.929946 | + | 0.367696i | \(0.119853\pi\) | |||||||
\(174\) | 21.5184 | − | 3.00661i | 1.63130 | − | 0.227930i | ||||
\(175\) | −4.26582 | + | 2.08647i | −0.322466 | + | 0.157722i | ||||
\(176\) | 4.61940i | 0.348200i | ||||||||
\(177\) | −6.24668 | + | 15.4254i | −0.469529 | + | 1.15945i | ||||
\(178\) | 11.4925 | − | 6.63518i | 0.861397 | − | 0.497328i | ||||
\(179\) | −0.262573 | + | 0.151597i | −0.0196256 | + | 0.0113309i | −0.509781 | − | 0.860304i | \(-0.670273\pi\) |
0.490155 | + | 0.871635i | \(0.336940\pi\) | |||||||
\(180\) | −0.500936 | + | 1.99550i | −0.0373375 | + | 0.148736i | ||||
\(181\) | − | 13.6432i | − | 1.01409i | −0.861920 | − | 0.507044i | \(-0.830738\pi\) | ||
0.861920 | − | 0.507044i | \(-0.169262\pi\) | |||||||
\(182\) | 1.05944 | + | 0.712887i | 0.0785312 | + | 0.0528427i | ||||
\(183\) | −0.474606 | − | 3.39677i | −0.0350839 | − | 0.251096i | ||||
\(184\) | 1.45229 | − | 2.51544i | 0.107064 | − | 0.185441i | ||||
\(185\) | 0.181552 | + | 0.314457i | 0.0133480 | + | 0.0231194i | ||||
\(186\) | −14.6429 | − | 18.7731i | −1.07367 | − | 1.37651i | ||||
\(187\) | 3.49184 | + | 2.01601i | 0.255349 | + | 0.147426i | ||||
\(188\) | 2.42791 | 0.177074 | ||||||||
\(189\) | −4.68530 | − | 12.9247i | −0.340806 | − | 0.940134i | ||||
\(190\) | −8.43801 | −0.612157 | ||||||||
\(191\) | 9.69981 | + | 5.60019i | 0.701854 | + | 0.405216i | 0.808038 | − | 0.589131i | \(-0.200530\pi\) |
−0.106184 | + | 0.994347i | \(0.533863\pi\) | |||||||
\(192\) | −6.32443 | − | 8.10830i | −0.456426 | − | 0.585166i | ||||
\(193\) | −10.9724 | − | 19.0047i | −0.789809 | − | 1.36799i | −0.926083 | − | 0.377319i | \(-0.876846\pi\) |
0.136274 | − | 0.990671i | \(-0.456487\pi\) | |||||||
\(194\) | −4.33522 | + | 7.50882i | −0.311251 | + | 0.539102i | ||||
\(195\) | −0.134157 | − | 0.960165i | −0.00960718 | − | 0.0687589i | ||||
\(196\) | −1.01004 | − | 2.48398i | −0.0721458 | − | 0.177427i | ||||
\(197\) | − | 1.71509i | − | 0.122195i | −0.998132 | − | 0.0610974i | \(-0.980540\pi\) | ||
0.998132 | − | 0.0610974i | \(-0.0194600\pi\) | |||||||
\(198\) | 1.12759 | − | 4.49179i | 0.0801341 | − | 0.319218i | ||||
\(199\) | 12.7029 | − | 7.33400i | 0.900482 | − | 0.519893i | 0.0231253 | − | 0.999733i | \(-0.492638\pi\) |
0.877356 | + | 0.479839i | \(0.159305\pi\) | |||||||
\(200\) | 3.87990 | − | 2.24006i | 0.274350 | − | 0.158396i | ||||
\(201\) | −7.80226 | + | 19.2668i | −0.550329 | + | 1.35897i | ||||
\(202\) | 17.7245i | 1.24709i | ||||||||
\(203\) | 21.4487 | + | 1.47582i | 1.50541 | + | 0.103582i | ||||
\(204\) | 2.64949 | − | 0.370194i | 0.185501 | − | 0.0259188i | ||||
\(205\) | −0.994992 | + | 1.72338i | −0.0694932 | + | 0.120366i | ||||
\(206\) | −2.98871 | − | 5.17660i | −0.208233 | − | 0.360671i | ||||
\(207\) | −2.42905 | + | 2.50729i | −0.168831 | + | 0.174269i | ||||
\(208\) | −1.25077 | − | 0.722130i | −0.0867250 | − | 0.0500707i | ||||
\(209\) | 3.05315 | 0.211191 | ||||||||
\(210\) | −5.54837 | + | 11.3849i | −0.382874 | + | 0.785630i | ||||
\(211\) | −17.1239 | −1.17886 | −0.589429 | − | 0.807820i | \(-0.700647\pi\) | ||||
−0.589429 | + | 0.807820i | \(0.700647\pi\) | |||||||
\(212\) | 2.61584 | + | 1.51026i | 0.179657 | + | 0.103725i | ||||
\(213\) | −15.0297 | + | 11.7231i | −1.02982 | + | 0.803254i | ||||
\(214\) | −5.14471 | − | 8.91090i | −0.351685 | − | 0.609137i | ||||
\(215\) | 8.84457 | − | 15.3192i | 0.603195 | − | 1.04476i | ||||
\(216\) | 5.24686 | + | 11.8614i | 0.357004 | + | 0.807066i | ||||
\(217\) | −10.3511 | − | 21.1630i | −0.702678 | − | 1.43664i | ||||
\(218\) | 17.9747i | 1.21740i | ||||||||
\(219\) | −14.9453 | − | 6.05224i | −1.00991 | − | 0.408972i | ||||
\(220\) | −0.593924 | + | 0.342902i | −0.0400423 | + | 0.0231185i | ||||
\(221\) | −1.09173 | + | 0.630309i | −0.0734375 | + | 0.0423992i | ||||
\(222\) | −0.502645 | − | 0.203551i | −0.0337353 | − | 0.0136614i | ||||
\(223\) | − | 5.84935i | − | 0.391701i | −0.980634 | − | 0.195851i | \(-0.937253\pi\) | ||
0.980634 | − | 0.195851i | \(-0.0627468\pi\) | |||||||
\(224\) | 2.48638 | + | 5.08344i | 0.166128 | + | 0.339652i | ||||
\(225\) | −5.17836 | + | 1.47588i | −0.345224 | + | 0.0983921i | ||||
\(226\) | −4.71007 | + | 8.15808i | −0.313309 | + | 0.542667i | ||||
\(227\) | −11.2674 | − | 19.5156i | −0.747841 | − | 1.29530i | −0.948856 | − | 0.315711i | \(-0.897757\pi\) |
0.201014 | − | 0.979588i | \(-0.435576\pi\) | |||||||
\(228\) | 1.59731 | − | 1.24589i | 0.105784 | − | 0.0825113i | ||||
\(229\) | 24.1747 | + | 13.9573i | 1.59751 | + | 0.922324i | 0.991965 | + | 0.126513i | \(0.0403787\pi\) |
0.605546 | + | 0.795810i | \(0.292955\pi\) | |||||||
\(230\) | 3.21600 | 0.212056 | ||||||||
\(231\) | 2.00758 | − | 4.11942i | 0.132089 | − | 0.271038i | ||||
\(232\) | −20.2833 | −1.33166 | ||||||||
\(233\) | −22.1542 | − | 12.7908i | −1.45137 | − | 0.837950i | −0.452813 | − | 0.891606i | \(-0.649579\pi\) |
−0.998559 | + | 0.0536557i | \(0.982913\pi\) | |||||||
\(234\) | 1.03994 | + | 1.00749i | 0.0679832 | + | 0.0658618i | ||||
\(235\) | −5.67349 | − | 9.82677i | −0.370098 | − | 0.641028i | ||||
\(236\) | −1.84034 | + | 3.18757i | −0.119796 | + | 0.207493i | ||||
\(237\) | 4.55931 | − | 0.637039i | 0.296159 | − | 0.0413802i | ||||
\(238\) | 16.4292 | + | 1.13044i | 1.06494 | + | 0.0732752i | ||||
\(239\) | − | 18.8848i | − | 1.22156i | −0.791802 | − | 0.610778i | \(-0.790857\pi\) | ||
0.791802 | − | 0.610778i | \(-0.209143\pi\) | |||||||
\(240\) | 5.37658 | − | 13.2768i | 0.347057 | − | 0.857016i | ||||
\(241\) | −9.47018 | + | 5.46761i | −0.610028 | + | 0.352200i | −0.772976 | − | 0.634435i | \(-0.781233\pi\) |
0.162949 | + | 0.986635i | \(0.447900\pi\) | |||||||
\(242\) | 1.33690 | − | 0.771860i | 0.0859392 | − | 0.0496170i | ||||
\(243\) | −2.64531 | − | 15.3624i | −0.169696 | − | 0.985496i | ||||
\(244\) | − | 0.758543i | − | 0.0485607i | ||||||
\(245\) | −7.69346 | + | 9.89256i | −0.491517 | + | 0.632012i | ||||
\(246\) | −0.411267 | − | 2.94345i | −0.0262214 | − | 0.187667i | ||||
\(247\) | −0.477285 | + | 0.826682i | −0.0303689 | + | 0.0526005i | ||||
\(248\) | 11.1131 | + | 19.2484i | 0.705680 | + | 1.22227i | ||||
\(249\) | −13.4169 | − | 17.2013i | −0.850263 | − | 1.09009i | ||||
\(250\) | 16.2631 | + | 9.38950i | 1.02857 | + | 0.593844i | ||||
\(251\) | −7.68374 | −0.484993 | −0.242497 | − | 0.970152i | \(-0.577966\pi\) | ||||
−0.242497 | + | 0.970152i | \(0.577966\pi\) | |||||||
\(252\) | −0.630701 | − | 2.97438i | −0.0397305 | − | 0.187368i | ||||
\(253\) | −1.16365 | −0.0731582 | ||||||||
\(254\) | 4.70384 | + | 2.71576i | 0.295145 | + | 0.170402i | ||||
\(255\) | −7.68960 | − | 9.85853i | −0.481541 | − | 0.617365i | ||||
\(256\) | −4.43895 | − | 7.68849i | −0.277435 | − | 0.480531i | ||||
\(257\) | −1.21453 | + | 2.10363i | −0.0757604 | + | 0.131221i | −0.901417 | − | 0.432953i | \(-0.857472\pi\) |
0.825656 | + | 0.564173i | \(0.190805\pi\) | |||||||
\(258\) | 3.65579 | + | 26.1646i | 0.227599 | + | 1.62894i | ||||
\(259\) | −0.445201 | − | 0.299571i | −0.0276635 | − | 0.0186144i | ||||
\(260\) | − | 0.214418i | − | 0.0132976i | ||||||
\(261\) | 23.6445 | + | 5.93554i | 1.46356 | + | 0.367401i | ||||
\(262\) | −8.39665 | + | 4.84781i | −0.518747 | + | 0.299499i | ||||
\(263\) | −15.4952 | + | 8.94617i | −0.955477 | + | 0.551645i | −0.894778 | − | 0.446511i | \(-0.852666\pi\) |
−0.0606987 | + | 0.998156i | \(0.519333\pi\) | |||||||
\(264\) | −1.62277 | + | 4.00724i | −0.0998747 | + | 0.246629i | ||||
\(265\) | − | 14.1165i | − | 0.867172i | ||||||
\(266\) | 11.2018 | − | 5.47896i | 0.686828 | − | 0.335937i | ||||
\(267\) | 14.7461 | − | 2.06037i | 0.902446 | − | 0.126092i | ||||
\(268\) | −2.29863 | + | 3.98135i | −0.140411 | + | 0.243200i | ||||
\(269\) | −5.15486 | − | 8.92847i | −0.314297 | − | 0.544379i | 0.664991 | − | 0.746852i | \(-0.268435\pi\) |
−0.979288 | + | 0.202473i | \(0.935102\pi\) | |||||||
\(270\) | −8.46891 | + | 11.5977i | −0.515402 | + | 0.705811i | ||||
\(271\) | 12.7191 | + | 7.34338i | 0.772631 | + | 0.446078i | 0.833812 | − | 0.552048i | \(-0.186154\pi\) |
−0.0611817 | + | 0.998127i | \(0.519487\pi\) | |||||||
\(272\) | −18.6255 | −1.12934 | ||||||||
\(273\) | 0.801554 | + | 1.18755i | 0.0485122 | + | 0.0718739i | ||||
\(274\) | −17.3322 | −1.04708 | ||||||||
\(275\) | −1.55439 | − | 0.897428i | −0.0937333 | − | 0.0541170i | ||||
\(276\) | −0.608786 | + | 0.474850i | −0.0366446 | + | 0.0285826i | ||||
\(277\) | 4.89785 | + | 8.48332i | 0.294283 | + | 0.509714i | 0.974818 | − | 0.223002i | \(-0.0715858\pi\) |
−0.680535 | + | 0.732716i | \(0.738252\pi\) | |||||||
\(278\) | 15.1534 | − | 26.2465i | 0.908843 | − | 1.57416i | ||||
\(279\) | −7.32193 | − | 25.6901i | −0.438353 | − | 1.53803i | ||||
\(280\) | 6.60048 | − | 9.80919i | 0.394454 | − | 0.586211i | ||||
\(281\) | − | 14.9221i | − | 0.890176i | −0.895487 | − | 0.445088i | \(-0.853172\pi\) | ||
0.895487 | − | 0.445088i | \(-0.146828\pi\) | |||||||
\(282\) | 15.7076 | + | 6.36096i | 0.935375 | + | 0.378789i | ||||
\(283\) | 22.0773 | − | 12.7463i | 1.31236 | − | 0.757691i | 0.329873 | − | 0.944025i | \(-0.392994\pi\) |
0.982486 | + | 0.186334i | \(0.0596607\pi\) | |||||||
\(284\) | −3.65085 | + | 2.10782i | −0.216638 | + | 0.125076i | ||||
\(285\) | −8.77520 | − | 3.55360i | −0.519798 | − | 0.210497i | ||||
\(286\) | 0.482646i | 0.0285394i | ||||||||
\(287\) | 0.201874 | − | 2.93393i | 0.0119162 | − | 0.173184i | ||||
\(288\) | 1.75876 | + | 6.17088i | 0.103636 | + | 0.363623i | ||||
\(289\) | 0.371375 | − | 0.643241i | 0.0218456 | − | 0.0378377i | ||||
\(290\) | −11.2290 | − | 19.4492i | −0.659389 | − | 1.14209i | ||||
\(291\) | −7.67075 | + | 5.98314i | −0.449667 | + | 0.350738i | ||||
\(292\) | −3.08834 | − | 1.78306i | −0.180732 | − | 0.104345i | ||||
\(293\) | −3.58027 | −0.209162 | −0.104581 | − | 0.994516i | \(-0.533350\pi\) | ||||
−0.104581 | + | 0.994516i | \(0.533350\pi\) | |||||||
\(294\) | −0.0267138 | − | 18.7166i | −0.00155798 | − | 1.09157i | ||||
\(295\) | 17.2019 | 1.00153 | ||||||||
\(296\) | 0.438427 | + | 0.253126i | 0.0254831 | + | 0.0147127i | ||||
\(297\) | 3.06433 | − | 4.19641i | 0.177810 | − | 0.243501i | ||||
\(298\) | −2.96602 | − | 5.13730i | −0.171817 | − | 0.297596i | ||||
\(299\) | 0.181909 | − | 0.315075i | 0.0105201 | − | 0.0182213i | ||||
\(300\) | −1.17942 | + | 0.164792i | −0.0680939 | + | 0.00951427i | ||||
\(301\) | −1.79447 | + | 26.0799i | −0.103432 | + | 1.50322i | ||||
\(302\) | 28.2505i | 1.62564i | ||||||||
\(303\) | −7.46452 | + | 18.4328i | −0.428826 | + | 1.05893i | ||||
\(304\) | −12.2142 | + | 7.05185i | −0.700530 | + | 0.404451i | ||||
\(305\) | −3.07014 | + | 1.77254i | −0.175796 | + | 0.101496i | ||||
\(306\) | 18.1110 | + | 4.54646i | 1.03534 | + | 0.259904i | ||||
\(307\) | 25.2153i | 1.43912i | 0.694433 | + | 0.719558i | \(0.255655\pi\) | ||||
−0.694433 | + | 0.719558i | \(0.744345\pi\) | |||||||
\(308\) | 0.565807 | − | 0.840864i | 0.0322399 | − | 0.0479127i | ||||
\(309\) | −0.928059 | − | 6.64214i | −0.0527954 | − | 0.377858i | ||||
\(310\) | −12.3046 | + | 21.3121i | −0.698852 | + | 1.21045i | ||||
\(311\) | 2.56317 | + | 4.43953i | 0.145344 | + | 0.251743i | 0.929501 | − | 0.368819i | \(-0.120238\pi\) |
−0.784157 | + | 0.620562i | \(0.786905\pi\) | |||||||
\(312\) | −0.831335 | − | 1.06582i | −0.0470651 | − | 0.0603403i | ||||
\(313\) | 6.18073 | + | 3.56844i | 0.349355 | + | 0.201700i | 0.664401 | − | 0.747376i | \(-0.268687\pi\) |
−0.315046 | + | 0.949076i | \(0.602020\pi\) | |||||||
\(314\) | −25.4412 | −1.43573 | ||||||||
\(315\) | −10.5647 | + | 9.50317i | −0.595256 | + | 0.535443i | ||||
\(316\) | 1.01815 | 0.0572756 | ||||||||
\(317\) | −9.84764 | − | 5.68554i | −0.553099 | − | 0.319332i | 0.197272 | − | 0.980349i | \(-0.436792\pi\) |
−0.750371 | + | 0.661017i | \(0.770125\pi\) | |||||||
\(318\) | 12.9667 | + | 16.6241i | 0.727136 | + | 0.932232i | ||||
\(319\) | 4.06302 | + | 7.03735i | 0.227485 | + | 0.394016i | ||||
\(320\) | −5.31445 | + | 9.20491i | −0.297087 | + | 0.514570i | ||||
\(321\) | −1.59754 | − | 11.4337i | −0.0891661 | − | 0.638164i | ||||
\(322\) | −4.26938 | + | 2.08821i | −0.237923 | + | 0.116371i | ||||
\(323\) | 12.3104i | 0.684968i | ||||||||
\(324\) | −0.109263 | − | 3.44588i | −0.00607015 | − | 0.191438i | ||||
\(325\) | 0.485982 | − | 0.280582i | 0.0269575 | − | 0.0155639i | ||||
\(326\) | 31.9126 | − | 18.4248i | 1.76748 | − | 1.02045i | ||||
\(327\) | −7.56993 | + | 18.6930i | −0.418618 | + | 1.03373i | ||||
\(328\) | 2.77451i | 0.153196i | ||||||||
\(329\) | 13.9125 | + | 9.36157i | 0.767022 | + | 0.516120i | ||||
\(330\) | −4.74083 | + | 0.662402i | −0.260974 | + | 0.0364640i | ||||
\(331\) | −9.99224 | + | 17.3071i | −0.549223 | + | 0.951282i | 0.449105 | + | 0.893479i | \(0.351743\pi\) |
−0.998328 | + | 0.0578032i | \(0.981590\pi\) | |||||||
\(332\) | −2.41237 | − | 4.17834i | −0.132396 | − | 0.229316i | ||||
\(333\) | −0.437007 | − | 0.423370i | −0.0239478 | − | 0.0232005i | ||||
\(334\) | 25.3651 | + | 14.6446i | 1.38792 | + | 0.801314i | ||||
\(335\) | 21.4856 | 1.17388 | ||||||||
\(336\) | 1.48326 | + | 21.1167i | 0.0809182 | + | 1.15201i | ||||
\(337\) | −6.65968 | −0.362776 | −0.181388 | − | 0.983412i | \(-0.558059\pi\) | ||||
−0.181388 | + | 0.983412i | \(0.558059\pi\) | |||||||
\(338\) | 17.2490 | + | 9.95872i | 0.938223 | + | 0.541683i | ||||
\(339\) | −8.33401 | + | 6.50048i | −0.452641 | + | 0.353058i | ||||
\(340\) | −1.38259 | − | 2.39472i | −0.0749815 | − | 0.129872i | ||||
\(341\) | 4.45219 | − | 7.71143i | 0.241100 | − | 0.417597i | ||||
\(342\) | 13.5981 | − | 3.87559i | 0.735301 | − | 0.209568i | ||||
\(343\) | 3.78997 | − | 18.1283i | 0.204639 | − | 0.978837i | ||||
\(344\) | − | 24.6628i | − | 1.32973i | ||||||
\(345\) | 3.34451 | + | 1.35439i | 0.180062 | + | 0.0729181i | ||||
\(346\) | 5.15352 | − | 2.97539i | 0.277055 | − | 0.159958i | ||||
\(347\) | 22.7713 | − | 13.1470i | 1.22243 | − | 0.705769i | 0.256993 | − | 0.966413i | \(-0.417268\pi\) |
0.965435 | + | 0.260644i | \(0.0839349\pi\) | |||||||
\(348\) | 4.99736 | + | 2.02373i | 0.267887 | + | 0.108483i | ||||
\(349\) | − | 1.27938i | − | 0.0684836i | −0.999414 | − | 0.0342418i | \(-0.989098\pi\) | ||
0.999414 | − | 0.0342418i | \(-0.0109016\pi\) | |||||||
\(350\) | −7.31344 | − | 0.503213i | −0.390920 | − | 0.0268979i | ||||
\(351\) | 0.657204 | + | 1.48572i | 0.0350789 | + | 0.0793017i | ||||
\(352\) | −1.06944 | + | 1.85232i | −0.0570012 | + | 0.0987289i | ||||
\(353\) | −4.32979 | − | 7.49941i | −0.230451 | − | 0.399154i | 0.727490 | − | 0.686119i | \(-0.240687\pi\) |
−0.957941 | + | 0.286965i | \(0.907354\pi\) | |||||||
\(354\) | −20.2575 | + | 15.8007i | −1.07667 | + | 0.839798i | ||||
\(355\) | 17.0624 | + | 9.85100i | 0.905579 | + | 0.522837i | ||||
\(356\) | 3.29300 | 0.174528 | ||||||||
\(357\) | 16.6096 | + | 8.09463i | 0.879074 | + | 0.428413i | ||||
\(358\) | −0.468046 | −0.0247370 | ||||||||
\(359\) | 12.2684 | + | 7.08314i | 0.647499 | + | 0.373834i | 0.787497 | − | 0.616318i | \(-0.211376\pi\) |
−0.139998 | + | 0.990152i | \(0.544710\pi\) | |||||||
\(360\) | 9.32817 | − | 9.62864i | 0.491638 | − | 0.507474i | ||||
\(361\) | −4.83914 | − | 8.38164i | −0.254692 | − | 0.441139i | ||||
\(362\) | 10.5306 | − | 18.2396i | 0.553477 | − | 0.958650i | ||||
\(363\) | 1.71539 | − | 0.239679i | 0.0900345 | − | 0.0125799i | ||||
\(364\) | 0.139226 | + | 0.284649i | 0.00729740 | + | 0.0149196i | ||||
\(365\) | 16.6664i | 0.872360i | ||||||||
\(366\) | 1.98733 | − | 4.90747i | 0.103879 | − | 0.256517i | ||||
\(367\) | −3.16709 | + | 1.82852i | −0.165321 | + | 0.0954480i | −0.580378 | − | 0.814347i | \(-0.697095\pi\) |
0.415057 | + | 0.909796i | \(0.363762\pi\) | |||||||
\(368\) | 4.65521 | − | 2.68769i | 0.242670 | − | 0.140105i | ||||
\(369\) | 0.811909 | − | 3.23427i | 0.0422663 | − | 0.168370i | ||||
\(370\) | 0.560530i | 0.0291406i | ||||||||
\(371\) | 9.16615 | + | 18.7403i | 0.475883 | + | 0.972950i | ||||
\(372\) | −0.817542 | − | 5.85117i | −0.0423876 | − | 0.303369i | ||||
\(373\) | −7.87880 | + | 13.6465i | −0.407949 | + | 0.706588i | −0.994660 | − | 0.103208i | \(-0.967089\pi\) |
0.586711 | + | 0.809797i | \(0.300423\pi\) | |||||||
\(374\) | 3.11216 | + | 5.39042i | 0.160926 | + | 0.278732i | ||||
\(375\) | 12.9587 | + | 16.6138i | 0.669183 | + | 0.857933i | ||||
\(376\) | −13.7008 | − | 7.91018i | −0.706567 | − | 0.407937i | ||||
\(377\) | −2.54061 | −0.130848 | ||||||||
\(378\) | 3.71227 | − | 20.8954i | 0.190939 | − | 1.07474i | ||||
\(379\) | 0.666396 | 0.0342305 | 0.0171152 | − | 0.999854i | \(-0.494552\pi\) | ||||
0.0171152 | + | 0.999854i | \(0.494552\pi\) | |||||||
\(380\) | −1.81334 | − | 1.04693i | −0.0930223 | − | 0.0537064i | ||||
\(381\) | 3.74809 | + | 4.80528i | 0.192020 | + | 0.246182i | ||||
\(382\) | 8.64512 | + | 14.9738i | 0.442323 | + | 0.766126i | ||||
\(383\) | 4.36293 | − | 7.55682i | 0.222935 | − | 0.386135i | −0.732763 | − | 0.680484i | \(-0.761769\pi\) |
0.955698 | + | 0.294349i | \(0.0951028\pi\) | |||||||
\(384\) | −3.22194 | − | 23.0595i | −0.164419 | − | 1.17675i | ||||
\(385\) | −4.72549 | − | 0.325145i | −0.240833 | − | 0.0165709i | ||||
\(386\) | − | 33.8765i | − | 1.72427i | ||||||
\(387\) | −7.21714 | + | 28.7498i | −0.366868 | + | 1.46143i | ||||
\(388\) | −1.86329 | + | 1.07577i | −0.0945941 | + | 0.0546140i | ||||
\(389\) | −8.77007 | + | 5.06340i | −0.444660 | + | 0.256725i | −0.705572 | − | 0.708638i | \(-0.749310\pi\) |
0.260912 | + | 0.965363i | \(0.415977\pi\) | |||||||
\(390\) | 0.561758 | − | 1.38720i | 0.0284457 | − | 0.0702434i | ||||
\(391\) | − | 4.69188i | − | 0.237279i | ||||||
\(392\) | −2.39314 | + | 17.3080i | −0.120872 | + | 0.874184i | ||||
\(393\) | −10.7738 | + | 1.50535i | −0.543467 | + | 0.0759347i | ||||
\(394\) | 1.32381 | − | 2.29290i | 0.0666923 | − | 0.115515i | ||||
\(395\) | −2.37920 | − | 4.12089i | −0.119710 | − | 0.207344i | ||||
\(396\) | 0.799631 | − | 0.825387i | 0.0401830 | − | 0.0414773i | ||||
\(397\) | 5.02915 | + | 2.90358i | 0.252406 | + | 0.145727i | 0.620865 | − | 0.783917i | \(-0.286781\pi\) |
−0.368460 | + | 0.929644i | \(0.620115\pi\) | |||||||
\(398\) | 22.6433 | 1.13500 | ||||||||
\(399\) | 13.9569 | − | 0.980344i | 0.698719 | − | 0.0490786i | ||||
\(400\) | 8.29115 | 0.414558 | ||||||||
\(401\) | 11.9652 | + | 6.90811i | 0.597513 | + | 0.344975i | 0.768063 | − | 0.640375i | \(-0.221221\pi\) |
−0.170549 | + | 0.985349i | \(0.554554\pi\) | |||||||
\(402\) | −25.3021 | + | 19.7355i | −1.26195 | + | 0.984316i | ||||
\(403\) | 1.39198 | + | 2.41099i | 0.0693396 | + | 0.120100i | ||||
\(404\) | −2.19913 | + | 3.80901i | −0.109411 | + | 0.189505i | ||||
\(405\) | −13.6916 | + | 8.49450i | −0.680341 | + | 0.422095i | ||||
\(406\) | 27.5357 | + | 18.5284i | 1.36657 | + | 0.919551i | ||||
\(407\) | − | 0.202818i | − | 0.0100533i | ||||||
\(408\) | −16.1573 | − | 6.54306i | −0.799906 | − | 0.323930i | ||||
\(409\) | 6.05430 | − | 3.49545i | 0.299366 | − | 0.172839i | −0.342792 | − | 0.939411i | \(-0.611373\pi\) |
0.642158 | + | 0.766572i | \(0.278039\pi\) | |||||||
\(410\) | −2.66041 | + | 1.53599i | −0.131388 | + | 0.0758570i | ||||
\(411\) | −18.0248 | − | 7.29933i | −0.889100 | − | 0.360050i | ||||
\(412\) | − | 1.48328i | − | 0.0730758i | ||||||
\(413\) | −22.8362 | + | 11.1695i | −1.12370 | + | 0.549616i | ||||
\(414\) | −5.18267 | + | 1.47711i | −0.254715 | + | 0.0725961i | ||||
\(415\) | −11.2743 | + | 19.5277i | −0.553435 | + | 0.958577i | ||||
\(416\) | −0.334361 | − | 0.579130i | −0.0163934 | − | 0.0283942i | ||||
\(417\) | 26.8125 | − | 20.9136i | 1.31301 | − | 1.02414i | ||||
\(418\) | 4.08175 | + | 2.35660i | 0.199645 | + | 0.115265i | ||||
\(419\) | −40.7516 | −1.99084 | −0.995422 | − | 0.0955780i | \(-0.969530\pi\) | ||||
−0.995422 | + | 0.0955780i | \(0.969530\pi\) | |||||||
\(420\) | −2.60491 | + | 1.75822i | −0.127107 | + | 0.0857922i | ||||
\(421\) | 39.4303 | 1.92171 | 0.960857 | − | 0.277044i | \(-0.0893547\pi\) | ||||
0.960857 | + | 0.277044i | \(0.0893547\pi\) | |||||||
\(422\) | −22.8929 | − | 13.2172i | −1.11441 | − | 0.643405i | ||||
\(423\) | 13.6565 | + | 13.2303i | 0.664000 | + | 0.643279i | ||||
\(424\) | −9.84089 | − | 17.0449i | −0.477916 | − | 0.827775i | ||||
\(425\) | 3.61846 | − | 6.26735i | 0.175521 | − | 0.304011i | ||||
\(426\) | −29.1418 | + | 4.07178i | −1.41193 | + | 0.197278i | ||||
\(427\) | 2.92480 | − | 4.34663i | 0.141541 | − | 0.210348i | ||||
\(428\) | − | 2.55329i | − | 0.123418i | ||||||
\(429\) | −0.203263 | + | 0.501933i | −0.00981361 | + | 0.0242335i | ||||
\(430\) | 23.6486 | − | 13.6535i | 1.14044 | − | 0.658432i | ||||
\(431\) | 6.17078 | − | 3.56270i | 0.297236 | − | 0.171609i | −0.343965 | − | 0.938983i | \(-0.611770\pi\) |
0.641201 | + | 0.767373i | \(0.278437\pi\) | |||||||
\(432\) | −2.56645 | + | 23.8655i | −0.123478 | + | 1.14823i | ||||
\(433\) | − | 1.71069i | − | 0.0822107i | −0.999155 | − | 0.0411054i | \(-0.986912\pi\) | ||
0.999155 | − | 0.0411054i | \(-0.0130879\pi\) | |||||||
\(434\) | 2.49647 | − | 36.2824i | 0.119834 | − | 1.74161i | ||||
\(435\) | −3.48684 | − | 24.9554i | −0.167181 | − | 1.19652i | ||||
\(436\) | −2.23019 | + | 3.86279i | −0.106807 | + | 0.184994i | ||||
\(437\) | −1.77640 | − | 3.07682i | −0.0849769 | − | 0.147184i | ||||
\(438\) | −15.3089 | − | 19.6269i | −0.731486 | − | 0.937809i | ||||
\(439\) | −13.9071 | − | 8.02929i | −0.663752 | − | 0.383217i | 0.129953 | − | 0.991520i | \(-0.458517\pi\) |
−0.793705 | + | 0.608303i | \(0.791851\pi\) | |||||||
\(440\) | 4.46872 | 0.213038 | ||||||||
\(441\) | 7.85457 | − | 19.4758i | 0.374027 | − | 0.927418i | ||||
\(442\) | −1.94604 | −0.0925637 | ||||||||
\(443\) | 22.0981 | + | 12.7583i | 1.04991 | + | 0.606167i | 0.922625 | − | 0.385699i | \(-0.126040\pi\) |
0.127287 | + | 0.991866i | \(0.459373\pi\) | |||||||
\(444\) | −0.0827637 | − | 0.106108i | −0.00392779 | − | 0.00503567i | ||||
\(445\) | −7.69500 | − | 13.3281i | −0.364778 | − | 0.631814i | ||||
\(446\) | 4.51488 | − | 7.81999i | 0.213786 | − | 0.370287i | ||||
\(447\) | −0.921013 | − | 6.59171i | −0.0435624 | − | 0.311777i | ||||
\(448\) | 1.07825 | − | 15.6707i | 0.0509425 | − | 0.740371i | ||||
\(449\) | − | 27.3754i | − | 1.29192i | −0.763370 | − | 0.645961i | \(-0.776457\pi\) | ||
0.763370 | − | 0.645961i | \(-0.223543\pi\) | |||||||
\(450\) | −8.06212 | − | 2.02386i | −0.380052 | − | 0.0954055i | ||||
\(451\) | 0.962623 | − | 0.555771i | 0.0453282 | − | 0.0261702i | ||||
\(452\) | −2.02440 | + | 1.16879i | −0.0952197 | + | 0.0549751i | ||||
\(453\) | −11.8975 | + | 29.3795i | −0.558993 | + | 1.38037i | ||||
\(454\) | − | 34.7873i | − | 1.63265i | ||||||
\(455\) | 0.826753 | − | 1.22866i | 0.0387588 | − | 0.0576007i | ||||
\(456\) | −13.0728 | + | 1.82657i | −0.612192 | + | 0.0855372i | ||||
\(457\) | −5.64235 | + | 9.77284i | −0.263938 | + | 0.457154i | −0.967285 | − | 0.253693i | \(-0.918355\pi\) |
0.703347 | + | 0.710847i | \(0.251688\pi\) | |||||||
\(458\) | 21.5461 | + | 37.3190i | 1.00678 | + | 1.74380i | ||||
\(459\) | 16.9201 | + | 12.3555i | 0.789760 | + | 0.576704i | ||||
\(460\) | 0.691121 | + | 0.399019i | 0.0322237 | + | 0.0186044i | ||||
\(461\) | −18.5685 | −0.864820 | −0.432410 | − | 0.901677i | \(-0.642337\pi\) | ||||
−0.432410 | + | 0.901677i | \(0.642337\pi\) | |||||||
\(462\) | 5.86355 | − | 3.95768i | 0.272797 | − | 0.184128i | ||||
\(463\) | −29.3017 | −1.36177 | −0.680883 | − | 0.732392i | \(-0.738404\pi\) | ||||
−0.680883 | + | 0.732392i | \(0.738404\pi\) | |||||||
\(464\) | −32.5083 | − | 18.7687i | −1.50916 | − | 0.871314i | ||||
\(465\) | −21.7717 | + | 16.9818i | −1.00964 | + | 0.787513i | ||||
\(466\) | −19.7453 | − | 34.1999i | −0.914685 | − | 1.58428i | ||||
\(467\) | −16.3374 | + | 28.2972i | −0.756004 | + | 1.30944i | 0.188869 | + | 0.982002i | \(0.439518\pi\) |
−0.944874 | + | 0.327436i | \(0.893816\pi\) | |||||||
\(468\) | 0.0984823 | + | 0.345540i | 0.00455235 | + | 0.0159726i | ||||
\(469\) | −28.5230 | + | 13.9510i | −1.31707 | + | 0.644197i | ||||
\(470\) | − | 17.5166i | − | 0.807978i | ||||||
\(471\) | −26.4578 | − | 10.7144i | −1.21911 | − | 0.493691i | ||||
\(472\) | 20.7703 | − | 11.9917i | 0.956030 | − | 0.551964i | ||||
\(473\) | −8.55685 | + | 4.94030i | −0.393444 | + | 0.227155i | ||||
\(474\) | 6.58704 | + | 2.66749i | 0.302553 | + | 0.122522i | ||||
\(475\) | − | 5.47996i | − | 0.251438i | ||||||
\(476\) | 3.39039 | + | 2.28135i | 0.155398 | + | 0.104566i | ||||
\(477\) | 6.48375 | + | 22.7492i | 0.296871 | + | 1.04162i | ||||
\(478\) | 14.5764 | − | 25.2471i | 0.666709 | − | 1.15477i | ||||
\(479\) | 0.509331 | + | 0.882188i | 0.0232719 | + | 0.0403082i | 0.877427 | − | 0.479710i | \(-0.159258\pi\) |
−0.854155 | + | 0.520019i | \(0.825925\pi\) | |||||||
\(480\) | 5.22966 | − | 4.07911i | 0.238700 | − | 0.186185i | ||||
\(481\) | 0.0549159 | + | 0.0317057i | 0.00250395 | + | 0.00144566i | ||||
\(482\) | −16.8809 | −0.768904 | ||||||||
\(483\) | −5.31942 | + | 0.373641i | −0.242042 | + | 0.0170012i | ||||
\(484\) | 0.383069 | 0.0174122 | ||||||||
\(485\) | 8.70818 | + | 5.02767i | 0.395418 | + | 0.228295i | ||||
\(486\) | 8.32108 | − | 22.5798i | 0.377452 | − | 1.02424i | ||||
\(487\) | −20.2114 | − | 35.0072i | −0.915866 | − | 1.58633i | −0.805628 | − | 0.592421i | \(-0.798172\pi\) |
−0.110238 | − | 0.993905i | \(-0.535161\pi\) | |||||||
\(488\) | −2.47134 | + | 4.28049i | −0.111873 | + | 0.193769i | ||||
\(489\) | 40.9474 | − | 5.72128i | 1.85170 | − | 0.258725i | ||||
\(490\) | −17.9210 | + | 7.28709i | −0.809590 | + | 0.329197i | ||||
\(491\) | − | 0.0334935i | − | 0.00151154i | −1.00000 | 0.000755769i | \(-0.999759\pi\) | |||
1.00000 | 0.000755769i | \(-0.000240569\pi\) | ||||||||
\(492\) | 0.276821 | − | 0.683578i | 0.0124801 | − | 0.0308181i | ||||
\(493\) | −28.3748 | + | 16.3822i | −1.27794 | + | 0.737817i | ||||
\(494\) | −1.27617 | + | 0.736794i | −0.0574174 | + | 0.0331499i | ||||
\(495\) | −5.20924 | − | 1.30769i | −0.234138 | − | 0.0587764i | ||||
\(496\) | 41.1329i | 1.84692i | ||||||||
\(497\) | −29.0476 | − | 1.99867i | −1.30296 | − | 0.0896525i | ||||
\(498\) | −4.66009 | − | 33.3524i | −0.208824 | − | 1.49456i | ||||
\(499\) | 2.71651 | − | 4.70513i | 0.121608 | − | 0.210630i | −0.798794 | − | 0.601604i | \(-0.794528\pi\) |
0.920402 | + | 0.390974i | \(0.127862\pi\) | |||||||
\(500\) | 2.32997 | + | 4.03563i | 0.104199 | + | 0.180479i | ||||
\(501\) | 20.2113 | + | 25.9121i | 0.902974 | + | 1.15767i | ||||
\(502\) | −10.2724 | − | 5.93077i | −0.458479 | − | 0.264703i | ||||
\(503\) | −22.4949 | −1.00300 | −0.501499 | − | 0.865158i | \(-0.667218\pi\) | ||||
−0.501499 | + | 0.865158i | \(0.667218\pi\) | |||||||
\(504\) | −6.13150 | + | 18.8394i | −0.273119 | + | 0.839174i | ||||
\(505\) | 20.5555 | 0.914708 | ||||||||
\(506\) | −1.55569 | − | 0.898177i | −0.0691588 | − | 0.0399288i | ||||
\(507\) | 13.7443 | + | 17.6210i | 0.610405 | + | 0.782575i | ||||
\(508\) | 0.673907 | + | 1.16724i | 0.0298998 | + | 0.0517880i | ||||
\(509\) | −1.18805 | + | 2.05777i | −0.0526595 | + | 0.0912090i | −0.891154 | − | 0.453702i | \(-0.850103\pi\) |
0.838494 | + | 0.544911i | \(0.183436\pi\) | |||||||
\(510\) | −2.67082 | − | 19.1152i | −0.118266 | − | 0.846433i | ||||
\(511\) | −10.8218 | − | 22.1254i | −0.478729 | − | 0.978770i | ||||
\(512\) | 13.1805i | 0.582503i | ||||||||
\(513\) | 15.7737 | + | 1.69627i | 0.696425 | + | 0.0748923i | ||||
\(514\) | −3.24742 | + | 1.87490i | −0.143237 | + | 0.0826982i | ||||
\(515\) | −6.00344 | + | 3.46609i | −0.264543 | + | 0.152734i | ||||
\(516\) | −2.46069 | + | 6.07638i | −0.108326 | + | 0.267498i | ||||
\(517\) | 6.33806i | 0.278748i | ||||||||
\(518\) | −0.363963 | − | 0.744129i | −0.0159916 | − | 0.0326951i | ||||
\(519\) | 6.61252 | − | 0.923920i | 0.290258 | − | 0.0405556i | ||||
\(520\) | −0.698576 | + | 1.20997i | −0.0306346 | + | 0.0530607i | ||||
\(521\) | −9.31600 | − | 16.1358i | −0.408141 | − | 0.706922i | 0.586540 | − | 0.809920i | \(-0.300490\pi\) |
−0.994682 | + | 0.102999i | \(0.967156\pi\) | |||||||
\(522\) | 27.0289 | + | 26.1854i | 1.18302 | + | 1.14611i | ||||
\(523\) | −2.07027 | − | 1.19527i | −0.0905268 | − | 0.0522657i | 0.454053 | − | 0.890975i | \(-0.349978\pi\) |
−0.544580 | + | 0.838709i | \(0.683311\pi\) | |||||||
\(524\) | −2.40593 | −0.105104 | ||||||||
\(525\) | −7.39377 | − | 3.60332i | −0.322690 | − | 0.157262i | ||||
\(526\) | −27.6208 | −1.20432 | ||||||||
\(527\) | 31.0927 | + | 17.9514i | 1.35442 | + | 0.781974i | ||||
\(528\) | −6.30885 | + | 4.92086i | −0.274557 | + | 0.214153i | ||||
\(529\) | −10.8230 | − | 18.7459i | −0.470563 | − | 0.815040i | ||||
\(530\) | 10.8960 | − | 18.8724i | 0.473291 | − | 0.819765i | ||||
\(531\) | −27.7213 | + | 7.90085i | −1.20300 | + | 0.342868i | ||||
\(532\) | 3.08708 | + | 0.212412i | 0.133842 | + | 0.00920921i | ||||
\(533\) | 0.347525i | 0.0150530i | ||||||||
\(534\) | 21.3044 | + | 8.62741i | 0.921930 | + | 0.373344i | ||||
\(535\) | −10.3342 | + | 5.96646i | −0.446787 | + | 0.257952i | ||||
\(536\) | 25.9426 | − | 14.9780i | 1.12055 | − | 0.646950i | ||||
\(537\) | −0.486749 | − | 0.197114i | −0.0210048 | − | 0.00850609i | ||||
\(538\) | − | 15.9153i | − | 0.686157i | ||||||
\(539\) | 6.48442 | − | 2.63671i | 0.279304 | − | 0.113571i | ||||
\(540\) | −3.25894 | + | 1.44158i | −0.140242 | + | 0.0620359i | ||||
\(541\) | 10.0844 | − | 17.4668i | 0.433564 | − | 0.750954i | −0.563613 | − | 0.826039i | \(-0.690589\pi\) |
0.997177 | + | 0.0750842i | \(0.0239226\pi\) | |||||||
\(542\) | 11.3361 | + | 19.6347i | 0.486928 | + | 0.843384i | ||||
\(543\) | 18.6329 | − | 14.5335i | 0.799614 | − | 0.623694i | ||||
\(544\) | −7.46860 | − | 4.31200i | −0.320214 | − | 0.184875i | ||||
\(545\) | 20.8458 | 0.892935 | ||||||||
\(546\) | 0.154974 | + | 2.20632i | 0.00663228 | + | 0.0944220i | ||||
\(547\) | −32.5957 | −1.39369 | −0.696845 | − | 0.717221i | \(-0.745414\pi\) | ||||
−0.696845 | + | 0.717221i | \(0.745414\pi\) | |||||||
\(548\) | −3.72471 | − | 2.15046i | −0.159112 | − | 0.0918633i | ||||
\(549\) | 4.13349 | − | 4.26663i | 0.176413 | − | 0.182095i | ||||
\(550\) | −1.38538 | − | 2.39954i | −0.0590727 | − | 0.102317i | ||||
\(551\) | −12.4050 | + | 21.4861i | −0.528470 | + | 0.915338i | ||||
\(552\) | 4.98248 | − | 0.696166i | 0.212068 | − | 0.0296308i | ||||
\(553\) | 5.83426 | + | 3.92581i | 0.248098 | + | 0.166942i | ||||
\(554\) | 15.1218i | 0.642464i | ||||||||
\(555\) | −0.236063 | + | 0.582930i | −0.0100203 | + | 0.0247440i | ||||
\(556\) | 6.51298 | − | 3.76027i | 0.276212 | − | 0.159471i | ||||
\(557\) | 12.8239 | − | 7.40386i | 0.543365 | − | 0.313712i | −0.203077 | − | 0.979163i | \(-0.565094\pi\) |
0.746441 | + | 0.665451i | \(0.231761\pi\) | |||||||
\(558\) | 10.0405 | − | 39.9966i | 0.425047 | − | 1.69319i | ||||
\(559\) | − | 3.08918i | − | 0.130658i | ||||||
\(560\) | 19.6554 | − | 9.61371i | 0.830592 | − | 0.406253i | ||||
\(561\) | 0.966392 | + | 6.91649i | 0.0408011 | + | 0.292014i | ||||
\(562\) | 11.5177 | − | 19.9493i | 0.485847 | − | 0.841511i | ||||
\(563\) | −3.43208 | − | 5.94453i | −0.144645 | − | 0.250532i | 0.784596 | − | 0.620008i | \(-0.212871\pi\) |
−0.929240 | + | 0.369476i | \(0.879537\pi\) | |||||||
\(564\) | 2.58636 | + | 3.31587i | 0.108906 | + | 0.139623i | ||||
\(565\) | 9.46114 | + | 5.46239i | 0.398033 | + | 0.229805i | ||||
\(566\) | 39.3535 | 1.65415 | ||||||||
\(567\) | 12.6606 | − | 20.1670i | 0.531694 | − | 0.846936i | ||||
\(568\) | 27.4692 | 1.15258 | ||||||||
\(569\) | 15.8236 | + | 9.13577i | 0.663360 | + | 0.382991i | 0.793556 | − | 0.608497i | \(-0.208227\pi\) |
−0.130196 | + | 0.991488i | \(0.541561\pi\) | |||||||
\(570\) | −8.98868 | − | 11.5240i | −0.376495 | − | 0.482689i | ||||
\(571\) | 11.1175 | + | 19.2560i | 0.465252 | + | 0.805840i | 0.999213 | − | 0.0396695i | \(-0.0126305\pi\) |
−0.533961 | + | 0.845509i | \(0.679297\pi\) | |||||||
\(572\) | −0.0598834 | + | 0.103721i | −0.00250385 | + | 0.00433680i | ||||
\(573\) | 2.68449 | + | 19.2130i | 0.112146 | + | 0.802634i | ||||
\(574\) | 2.53446 | − | 3.76655i | 0.105786 | − | 0.157213i | ||||
\(575\) | 2.08859i | 0.0871003i | ||||||||
\(576\) | 4.33657 | − | 17.2749i | 0.180691 | − | 0.719788i | ||||
\(577\) | −18.2247 | + | 10.5220i | −0.758705 | + | 0.438039i | −0.828831 | − | 0.559500i | \(-0.810993\pi\) |
0.0701256 | + | 0.997538i | \(0.477660\pi\) | |||||||
\(578\) | 0.992983 | − | 0.573299i | 0.0413027 | − | 0.0238461i | ||||
\(579\) | 14.2669 | − | 35.2303i | 0.592910 | − | 1.46412i | ||||
\(580\) | − | 5.57287i | − | 0.231401i | ||||||
\(581\) | 2.28745 | − | 33.2445i | 0.0948992 | − | 1.37922i | ||||
\(582\) | −14.8732 | + | 2.07812i | −0.616513 | + | 0.0861409i | ||||
\(583\) | −3.94253 | + | 6.82866i | −0.163283 | + | 0.282814i | ||||
\(584\) | 11.6185 | + | 20.1237i | 0.480775 | + | 0.832727i | ||||
\(585\) | 1.16841 | − | 1.20605i | 0.0483080 | − | 0.0498640i | ||||
\(586\) | −4.78647 | − | 2.76347i | −0.197727 | − | 0.114158i | ||||
\(587\) | −3.18901 | −0.131625 | −0.0658123 | − | 0.997832i | \(-0.520964\pi\) | ||||
−0.0658123 | + | 0.997832i | \(0.520964\pi\) | |||||||
\(588\) | 2.31649 | − | 4.02553i | 0.0955303 | − | 0.166010i | ||||
\(589\) | 27.1864 | 1.12020 | ||||||||
\(590\) | 22.9972 | + | 13.2774i | 0.946779 | + | 0.546623i | ||||
\(591\) | 2.34234 | − | 1.82702i | 0.0963511 | − | 0.0751534i | ||||
\(592\) | 0.468449 | + | 0.811377i | 0.0192531 | + | 0.0333474i | ||||
\(593\) | 3.36000 | − | 5.81969i | 0.137979 | − | 0.238986i | −0.788753 | − | 0.614711i | \(-0.789273\pi\) |
0.926731 | + | 0.375725i | \(0.122606\pi\) | |||||||
\(594\) | 7.33574 | − | 3.24495i | 0.300989 | − | 0.133142i | ||||
\(595\) | 1.31100 | − | 19.0533i | 0.0537456 | − | 0.781110i | ||||
\(596\) | − | 1.47202i | − | 0.0602961i | ||||||
\(597\) | 23.5481 | + | 9.53604i | 0.963761 | + | 0.390284i | ||||
\(598\) | 0.486388 | − | 0.280816i | 0.0198899 | − | 0.0114834i | ||||
\(599\) | −10.8020 | + | 6.23656i | −0.441359 | + | 0.254819i | −0.704174 | − | 0.710027i | \(-0.748683\pi\) |
0.262815 | + | 0.964846i | \(0.415349\pi\) | |||||||
\(600\) | 7.19242 | + | 2.91264i | 0.293629 | + | 0.118908i | ||||
\(601\) | 11.5194i | 0.469886i | 0.972009 | + | 0.234943i | \(0.0754904\pi\) | ||||
−0.972009 | + | 0.234943i | \(0.924510\pi\) | |||||||
\(602\) | −22.5291 | + | 33.4812i | −0.918217 | + | 1.36459i | ||||
\(603\) | −34.6246 | + | 9.86836i | −1.41002 | + | 0.401871i | ||||
\(604\) | −3.50514 | + | 6.07107i | −0.142622 | + | 0.247028i | ||||
\(605\) | −0.895146 | − | 1.55044i | −0.0363928 | − | 0.0630343i | ||||
\(606\) | −24.2068 | + | 18.8812i | −0.983335 | + | 0.766996i | ||||
\(607\) | 32.5338 | + | 18.7834i | 1.32051 | + | 0.762395i | 0.983809 | − | 0.179218i | \(-0.0573568\pi\) |
0.336697 | + | 0.941613i | \(0.390690\pi\) | |||||||
\(608\) | −6.53030 | −0.264839 | ||||||||
\(609\) | 20.8330 | + | 30.8653i | 0.844194 | + | 1.25073i | ||||
\(610\) | −5.47262 | −0.221580 | ||||||||
\(611\) | −1.71612 | − | 0.990802i | −0.0694267 | − | 0.0400835i | ||||
\(612\) | 3.32798 | + | 3.22413i | 0.134526 | + | 0.130328i | ||||
\(613\) | 10.1988 | + | 17.6649i | 0.411927 | + | 0.713478i | 0.995100 | − | 0.0988694i | \(-0.0315226\pi\) |
−0.583174 | + | 0.812348i | \(0.698189\pi\) | |||||||
\(614\) | −19.4627 | + | 33.7104i | −0.785451 | + | 1.36044i | ||||
\(615\) | −3.41359 | + | 0.476957i | −0.137649 | + | 0.0192328i | ||||
\(616\) | −5.93243 | + | 2.90163i | −0.239024 | + | 0.116910i | ||||
\(617\) | − | 0.725688i | − | 0.0292151i | −0.999893 | − | 0.0146076i | \(-0.995350\pi\) | ||
0.999893 | − | 0.0146076i | \(-0.00464989\pi\) | |||||||
\(618\) | 3.88608 | − | 9.59621i | 0.156321 | − | 0.386016i | ||||
\(619\) | −2.37483 | + | 1.37111i | −0.0954527 | + | 0.0551096i | −0.546966 | − | 0.837155i | \(-0.684217\pi\) |
0.451514 | + | 0.892264i | \(0.350884\pi\) | |||||||
\(620\) | −5.28853 | + | 3.05333i | −0.212392 | + | 0.122625i | ||||
\(621\) | −6.01186 | − | 0.646504i | −0.241247 | − | 0.0259433i | ||||
\(622\) | 7.91362i | 0.317307i | ||||||||
\(623\) | 18.8697 | + | 12.6972i | 0.755997 | + | 0.508701i | ||||
\(624\) | −0.346158 | − | 2.47746i | −0.0138574 | − | 0.0991780i | ||||
\(625\) | 6.40210 | − | 11.0888i | 0.256084 | − | 0.443551i | ||||
\(626\) | 5.50868 | + | 9.54131i | 0.220171 | + | 0.381347i | ||||
\(627\) | 3.25240 | + | 4.16978i | 0.129888 | + | 0.166525i | ||||
\(628\) | −5.46733 | − | 3.15657i | −0.218170 | − | 0.125961i | ||||
\(629\) | 0.817769 | 0.0326066 | ||||||||
\(630\) | −21.4591 | + | 4.55029i | −0.854952 | + | 0.181288i | ||||
\(631\) | 2.29831 | 0.0914942 | 0.0457471 | − | 0.998953i | \(-0.485433\pi\) | ||||
0.0457471 | + | 0.998953i | \(0.485433\pi\) | |||||||
\(632\) | −5.74549 | − | 3.31716i | −0.228543 | − | 0.131950i | ||||
\(633\) | −18.2414 | − | 23.3866i | −0.725031 | − | 0.929534i | ||||
\(634\) | −8.77687 | − | 15.2020i | −0.348574 | − | 0.603748i | ||||
\(635\) | 3.14954 | − | 5.45516i | 0.124986 | − | 0.216482i | ||||
\(636\) | 0.723953 | + | 5.18135i | 0.0287066 | + | 0.205454i | ||||
\(637\) | −0.299756 | + | 2.16793i | −0.0118768 | + | 0.0858966i | ||||
\(638\) | 12.5443i | 0.496634i | ||||||||
\(639\) | −32.0212 | − | 8.03837i | −1.26674 | − | 0.317993i | ||||
\(640\) | −20.8422 | + | 12.0332i | −0.823859 | + | 0.475655i | ||||
\(641\) | −17.3791 | + | 10.0338i | −0.686431 | + | 0.396311i | −0.802274 | − | 0.596956i | \(-0.796377\pi\) |
0.115842 | + | 0.993268i | \(0.463043\pi\) | |||||||
\(642\) | 6.68942 | − | 16.5187i | 0.264010 | − | 0.651942i | ||||
\(643\) | 37.7708i | 1.48953i | 0.667325 | + | 0.744767i | \(0.267439\pi\) | ||||
−0.667325 | + | 0.744767i | \(0.732561\pi\) | |||||||
\(644\) | −1.17659 | − | 0.0809569i | −0.0463640 | − | 0.00319015i | ||||
\(645\) | 30.3437 | − | 4.23971i | 1.19478 | − | 0.166939i | ||||
\(646\) | −9.50188 | + | 16.4577i | −0.373847 | + | 0.647521i | ||||
\(647\) | −12.2754 | − | 21.2617i | −0.482597 | − | 0.835882i | 0.517204 | − | 0.855862i | \(-0.326973\pi\) |
−0.999800 | + | 0.0199804i | \(0.993640\pi\) | |||||||
\(648\) | −10.6102 | + | 19.8013i | −0.416807 | + | 0.777868i | ||||
\(649\) | −8.32114 | − | 4.80421i | −0.326633 | − | 0.188582i | ||||
\(650\) | 0.866280 | 0.0339783 | ||||||||
\(651\) | 17.8763 | − | 36.6809i | 0.700627 | − | 1.43764i | ||||
\(652\) | 9.14409 | 0.358110 | ||||||||
\(653\) | −35.0696 | − | 20.2474i | −1.37238 | − | 0.792343i | −0.381152 | − | 0.924513i | \(-0.624472\pi\) |
−0.991227 | + | 0.132169i | \(0.957806\pi\) | |||||||
\(654\) | −24.5486 | + | 19.1478i | −0.959928 | + | 0.748738i | ||||
\(655\) | 5.62213 | + | 9.73781i | 0.219675 | + | 0.380488i | ||||
\(656\) | −2.56733 | + | 4.44674i | −0.100237 | + | 0.173616i | ||||
\(657\) | −7.65491 | − | 26.8584i | −0.298647 | − | 1.04785i | ||||
\(658\) | 11.3738 | + | 23.2540i | 0.443398 | + | 0.906535i | ||||
\(659\) | 45.5163i | 1.77306i | 0.462670 | + | 0.886531i | \(0.346892\pi\) | ||||
−0.462670 | + | 0.886531i | \(0.653108\pi\) | |||||||
\(660\) | −1.10100 | − | 0.445859i | −0.0428562 | − | 0.0173550i | ||||
\(661\) | 36.6307 | − | 21.1487i | 1.42477 | − | 0.822590i | 0.428067 | − | 0.903747i | \(-0.359195\pi\) |
0.996701 | + | 0.0811565i | \(0.0258614\pi\) | |||||||
\(662\) | −26.7172 | + | 15.4252i | −1.03840 | + | 0.599518i | ||||
\(663\) | −2.02381 | − | 0.819561i | −0.0785982 | − | 0.0318291i | ||||
\(664\) | 31.4381i | 1.22004i | ||||||||
\(665\) | −6.35410 | − | 12.9911i | −0.246401 | − | 0.503771i | ||||
\(666\) | −0.257453 | − | 0.903312i | −0.00997608 | − | 0.0350026i | ||||
\(667\) | 4.72794 | − | 8.18903i | 0.183067 | − | 0.317081i | ||||
\(668\) | 3.63400 | + | 6.29426i | 0.140603 | + | 0.243532i | ||||
\(669\) | 7.98863 | − | 6.23109i | 0.308858 | − | 0.240908i | ||||
\(670\) | 28.7241 | + | 16.5838i | 1.10971 | + | 0.640690i | ||||
\(671\) | 1.98017 | 0.0764438 | ||||||||
\(672\) | −4.29396 | + | 8.81092i | −0.165643 | + | 0.339888i | ||||
\(673\) | 6.17411 | 0.237994 | 0.118997 | − | 0.992895i | \(-0.462032\pi\) | ||||
0.118997 | + | 0.992895i | \(0.462032\pi\) | |||||||
\(674\) | −8.90333 | − | 5.14034i | −0.342943 | − | 0.197998i | ||||
\(675\) | −7.53196 | − | 5.50003i | −0.289905 | − | 0.211696i | ||||
\(676\) | 2.47122 | + | 4.28028i | 0.0950470 | + | 0.164626i | ||||
\(677\) | −18.2098 | + | 31.5403i | −0.699859 | + | 1.21219i | 0.268656 | + | 0.963236i | \(0.413421\pi\) |
−0.968515 | + | 0.248955i | \(0.919913\pi\) | |||||||
\(678\) | −16.1592 | + | 2.25781i | −0.620590 | + | 0.0867106i | ||||
\(679\) | −14.8251 | − | 1.02006i | −0.568934 | − | 0.0391464i | ||||
\(680\) | 18.0180i | 0.690960i | ||||||||
\(681\) | 14.6504 | − | 36.1774i | 0.561405 | − | 1.38632i | ||||
\(682\) | 11.9043 | − | 6.87294i | 0.455838 | − | 0.263178i | ||||
\(683\) | −10.5489 | + | 6.09040i | −0.403642 | + | 0.233043i | −0.688054 | − | 0.725659i | \(-0.741535\pi\) |
0.284412 | + | 0.958702i | \(0.408202\pi\) | |||||||
\(684\) | 3.40311 | + | 0.854292i | 0.130121 | + | 0.0326647i | ||||
\(685\) | 20.1006i | 0.768005i | ||||||||
\(686\) | 19.0593 | − | 21.3104i | 0.727689 | − | 0.813636i | ||||
\(687\) | 6.69053 | + | 47.8843i | 0.255260 | + | 1.82690i | ||||
\(688\) | 22.8212 | − | 39.5275i | 0.870050 | − | 1.50697i | ||||
\(689\) | −1.23264 | − | 2.13499i | −0.0469597 | − | 0.0813365i | ||||
\(690\) | 3.42588 | + | 4.39218i | 0.130421 | + | 0.167207i | ||||
\(691\) | −32.3287 | − | 18.6650i | −1.22984 | − | 0.710049i | −0.262844 | − | 0.964838i | \(-0.584661\pi\) |
−0.966997 | + | 0.254789i | \(0.917994\pi\) | |||||||
\(692\) | 1.47666 | 0.0561343 | ||||||||
\(693\) | 7.76461 | − | 1.64645i | 0.294953 | − | 0.0625433i | ||||
\(694\) | 40.5906 | 1.54080 | ||||||||
\(695\) | −30.4388 | − | 17.5738i | −1.15461 | − | 0.666614i | ||||
\(696\) | −21.6070 | − | 27.7015i | −0.819012 | − | 1.05002i | ||||
\(697\) | 2.24088 | + | 3.88132i | 0.0848795 | + | 0.147016i | ||||
\(698\) | 0.987501 | − | 1.71040i | 0.0373775 | − | 0.0647397i | ||||
\(699\) | −6.13134 | − | 43.8822i | −0.231909 | − | 1.65978i | ||||
\(700\) | −1.50923 | − | 1.01554i | −0.0570436 | − | 0.0383839i | ||||
\(701\) | − | 18.4732i | − | 0.697723i | −0.937174 | − | 0.348861i | \(-0.886568\pi\) | ||
0.937174 | − | 0.348861i | \(-0.113432\pi\) | |||||||
\(702\) | −0.268149 | + | 2.49352i | −0.0101206 | + | 0.0941120i | ||||
\(703\) | 0.536273 | − | 0.309617i | 0.0202259 | − | 0.0116774i | ||||
\(704\) | 5.14157 | − | 2.96849i | 0.193780 | − | 0.111879i | ||||
\(705\) | 7.37697 | − | 18.2165i | 0.277833 | − | 0.686075i | ||||
\(706\) | − | 13.3680i | − | 0.503110i | ||||||
\(707\) | −27.2884 | + | 13.3471i | −1.02628 | + | 0.501969i | ||||
\(708\) | −6.31380 | + | 0.882182i | −0.237287 | + | 0.0331544i | ||||
\(709\) | −8.88722 | + | 15.3931i | −0.333767 | + | 0.578101i | −0.983247 | − | 0.182277i | \(-0.941653\pi\) |
0.649480 | + | 0.760378i | \(0.274986\pi\) | |||||||
\(710\) | 15.2072 | + | 26.3396i | 0.570715 | + | 0.988507i | ||||
\(711\) | 5.72688 | + | 5.54817i | 0.214775 | + | 0.208073i | ||||
\(712\) | −18.5825 | − | 10.7286i | −0.696410 | − | 0.402073i | ||||
\(713\) | −10.3616 | −0.388046 | ||||||||
\(714\) | 15.9575 | + | 23.6420i | 0.597194 | + | 0.884779i | ||||
\(715\) | 0.559737 | 0.0209330 | ||||||||
\(716\) | −0.100584 | − | 0.0580719i | −0.00375898 | − | 0.00217025i | ||||
\(717\) | 25.7915 | − | 20.1172i | 0.963202 | − | 0.751292i | ||||
\(718\) | 10.9344 | + | 18.9389i | 0.408067 | + | 0.706793i | ||||
\(719\) | −4.23559 | + | 7.33627i | −0.157961 | + | 0.273597i | −0.934133 | − | 0.356924i | \(-0.883825\pi\) |
0.776172 | + | 0.630521i | \(0.217159\pi\) | |||||||
\(720\) | 23.8600 | − | 6.80034i | 0.889211 | − | 0.253434i | ||||
\(721\) | 5.71923 | − | 8.49954i | 0.212995 | − | 0.316539i | ||||
\(722\) | − | 14.9406i | − | 0.556030i | ||||||
\(723\) | −17.5555 | − | 7.10927i | −0.652896 | − | 0.264397i | ||||
\(724\) | 4.52608 | − | 2.61313i | 0.168211 | − | 0.0971164i | ||||
\(725\) | 12.6310 | − | 7.29253i | 0.469105 | − | 0.270838i | ||||
\(726\) | 2.47830 | + | 1.00361i | 0.0919783 | + | 0.0372475i | ||||
\(727\) | − | 13.3978i | − | 0.496897i | −0.968645 | − | 0.248448i | \(-0.920079\pi\) | ||
0.968645 | − | 0.248448i | \(-0.0799206\pi\) | |||||||
\(728\) | 0.141734 | − | 2.05989i | 0.00525301 | − | 0.0763445i | ||||
\(729\) | 18.1629 | − | 19.9777i | 0.672700 | − | 0.739915i | ||||
\(730\) | −12.8641 | + | 22.2813i | −0.476123 | + | 0.824669i | ||||
\(731\) | −19.9194 | − | 34.5014i | −0.736746 | − | 1.27608i | ||||
\(732\) | 1.03596 | − | 0.808046i | 0.0382903 | − | 0.0298662i | ||||
\(733\) | 25.9002 | + | 14.9535i | 0.956646 | + | 0.552320i | 0.895139 | − | 0.445787i | \(-0.147076\pi\) |
0.0615067 | + | 0.998107i | \(0.480409\pi\) | |||||||
\(734\) | −5.64545 | −0.208377 | ||||||||
\(735\) | −21.7061 | + | 0.0309807i | −0.800642 | + | 0.00114274i | ||||
\(736\) | 2.48891 | 0.0917423 | ||||||||
\(737\) | −10.3933 | − | 6.00058i | −0.382842 | − | 0.221034i | ||||
\(738\) | 3.58185 | − | 3.69722i | 0.131850 | − | 0.136097i | ||||
\(739\) | 17.0158 | + | 29.4722i | 0.625935 | + | 1.08415i | 0.988359 | + | 0.152139i | \(0.0486160\pi\) |
−0.362424 | + | 0.932013i | \(0.618051\pi\) | |||||||
\(740\) | −0.0695468 | + | 0.120459i | −0.00255659 | + | 0.00442815i | ||||
\(741\) | −1.63746 | + | 0.228790i | −0.0601535 | + | 0.00840482i | ||||
\(742\) | −2.21068 | + | 32.1289i | −0.0811568 | + | 1.17949i | ||||
\(743\) | − | 20.5928i | − | 0.755477i | −0.925912 | − | 0.377738i | \(-0.876702\pi\) | ||
0.925912 | − | 0.377738i | \(-0.123298\pi\) | |||||||
\(744\) | −14.4498 | + | 35.6820i | −0.529755 | + | 1.30817i | ||||
\(745\) | −5.95786 | + | 3.43977i | −0.218279 | + | 0.126024i | ||||
\(746\) | −21.0663 | + | 12.1627i | −0.771294 | + | 0.445307i | ||||
\(747\) | 9.19981 | − | 36.6478i | 0.336603 | − | 1.34087i | ||||
\(748\) | 1.54454i | 0.0564741i | ||||||||
\(749\) | 9.84498 | − | 14.6309i | 0.359728 | − | 0.534603i | ||||
\(750\) | 4.50093 | + | 32.2132i | 0.164351 | + | 1.17626i | ||||
\(751\) | −8.54159 | + | 14.7945i | −0.311687 | + | 0.539858i | −0.978728 | − | 0.205164i | \(-0.934227\pi\) |
0.667041 | + | 0.745021i | \(0.267561\pi\) | |||||||
\(752\) | −14.6390 | − | 25.3555i | −0.533830 | − | 0.924620i | ||||
\(753\) | −8.18519 | − | 10.4939i | −0.298285 | − | 0.382419i | ||||
\(754\) | −3.39655 | − | 1.96100i | −0.123695 | − | 0.0714153i | ||||
\(755\) | 32.7629 | 1.19236 | ||||||||
\(756\) | 3.39034 | − | 4.02986i | 0.123305 | − | 0.146565i | ||||
\(757\) | 28.9720 | 1.05301 | 0.526503 | − | 0.850173i | \(-0.323503\pi\) | ||||
0.526503 | + | 0.850173i | \(0.323503\pi\) | |||||||
\(758\) | 0.890905 | + | 0.514364i | 0.0323591 | + | 0.0186826i | ||||
\(759\) | −1.23959 | − | 1.58924i | −0.0449944 | − | 0.0576856i | ||||
\(760\) | 6.82184 | + | 11.8158i | 0.247454 | + | 0.428603i | ||||
\(761\) | −1.91120 | + | 3.31030i | −0.0692810 | + | 0.119998i | −0.898585 | − | 0.438799i | \(-0.855404\pi\) |
0.829304 | + | 0.558798i | \(0.188737\pi\) | |||||||
\(762\) | 1.30182 | + | 9.31717i | 0.0471600 | + | 0.337525i | ||||
\(763\) | −27.6737 | + | 13.5356i | −1.00186 | + | 0.490021i | ||||
\(764\) | 4.29051i | 0.155225i | ||||||||
\(765\) | 5.27265 | − | 21.0038i | 0.190633 | − | 0.759395i | ||||
\(766\) | 11.6656 | − | 6.73514i | 0.421495 | − | 0.243351i | ||||
\(767\) | 2.60161 | − | 1.50204i | 0.0939388 | − | 0.0542356i | ||||
\(768\) | 5.77176 | − | 14.2527i | 0.208270 | − | 0.514299i | ||||
\(769\) | − | 8.34488i | − | 0.300924i | −0.988616 | − | 0.150462i | \(-0.951924\pi\) | ||
0.988616 | − | 0.150462i | \(-0.0480762\pi\) | |||||||
\(770\) | −6.06654 | − | 4.08210i | −0.218623 | − | 0.147109i | ||||
\(771\) | −4.16679 | + | 0.582195i | −0.150063 | + | 0.0209673i | ||||
\(772\) | 4.20317 | − | 7.28011i | 0.151276 | − | 0.262017i | ||||
\(773\) | 20.3174 | + | 35.1908i | 0.730766 | + | 1.26572i | 0.956556 | + | 0.291548i | \(0.0941703\pi\) |
−0.225790 | + | 0.974176i | \(0.572496\pi\) | |||||||
\(774\) | −31.8394 | + | 32.8649i | −1.14444 | + | 1.18131i | ||||
\(775\) | −13.8409 | − | 7.99105i | −0.497180 | − | 0.287047i | ||||
\(776\) | 14.0195 | 0.503271 | ||||||||
\(777\) | −0.0651235 | − | 0.927146i | −0.00233629 | − | 0.0332612i | ||||
\(778\) | −15.6329 | −0.560468 | ||||||||
\(779\) | 2.93903 | + | 1.69685i | 0.105302 | + | 0.0607960i | ||||
\(780\) | 0.292836 | − | 0.228411i | 0.0104852 | − | 0.00817842i | ||||
\(781\) | −5.50245 | − | 9.53053i | −0.196893 | − | 0.341029i | ||||
\(782\) | 3.62147 | − | 6.27258i | 0.129504 | − | 0.224307i | ||||
\(783\) | 17.0812 | + | 38.6149i | 0.610432 | + | 1.37998i | ||||
\(784\) | −19.8510 | + | 25.5253i | −0.708965 | + | 0.911616i | ||||
\(785\) | 29.5048i | 1.05307i | ||||||||
\(786\) | −15.5654 | − | 6.30337i | −0.555200 | − | 0.224834i | ||||
\(787\) | 10.5537 | − | 6.09321i | 0.376201 | − | 0.217199i | −0.299963 | − | 0.953951i | \(-0.596974\pi\) |
0.676164 | + | 0.736751i | \(0.263641\pi\) | |||||||
\(788\) | 0.568975 | − | 0.328498i | 0.0202689 | − | 0.0117022i | ||||
\(789\) | −28.7245 | − | 11.6323i | −1.02262 | − | 0.414120i | ||||
\(790\) | − | 7.34562i | − | 0.261346i | ||||||
\(791\) | −16.1069 | − | 1.10826i | −0.572696 | − | 0.0394053i | ||||
\(792\) | −7.20148 | + | 2.05249i | −0.255894 | + | 0.0729322i | ||||
\(793\) | −0.309552 | + | 0.536160i | −0.0109925 | + | 0.0190396i | ||||
\(794\) | 4.48231 | + | 7.76359i | 0.159071 | + | 0.275520i | ||||
\(795\) | 19.2794 | − | 15.0378i | 0.683769 | − | 0.533336i | ||||
\(796\) | 4.86607 | + | 2.80942i | 0.172473 | + | 0.0995774i | ||||
\(797\) | 49.0317 | 1.73679 | 0.868397 | − | 0.495870i | \(-0.165151\pi\) | ||||
0.868397 | + | 0.495870i | \(0.165151\pi\) | |||||||
\(798\) | 19.4157 | + | 9.46214i | 0.687307 | + | 0.334956i | ||||
\(799\) | −25.5553 | −0.904080 | ||||||||
\(800\) | 3.32465 | + | 1.91949i | 0.117544 | + | 0.0678641i | ||||
\(801\) | 18.5223 | + | 17.9443i | 0.654455 | + | 0.634032i | ||||
\(802\) | 10.6642 | + | 18.4709i | 0.376565 | + | 0.652230i | ||||
\(803\) | 4.65466 | − | 8.06212i | 0.164260 | − | 0.284506i | ||||
\(804\) | −7.88609 | + | 1.10187i | −0.278121 | + | 0.0388598i | ||||
\(805\) | 2.42175 | + | 4.95131i | 0.0853555 | + | 0.174511i | ||||
\(806\) | 4.29766i | 0.151379i | ||||||||
\(807\) | 6.70261 | − | 16.5513i | 0.235943 | − | 0.582633i | ||||
\(808\) | 24.8196 | − | 14.3296i | 0.873151 | − | 0.504114i | ||||
\(809\) | −12.8480 | + | 7.41778i | −0.451711 | + | 0.260795i | −0.708553 | − | 0.705658i | \(-0.750651\pi\) |
0.256842 | + | 0.966454i | \(0.417318\pi\) | |||||||
\(810\) | −24.8609 | + | 0.788293i | −0.873522 | + | 0.0276978i | ||||
\(811\) | 24.0392i | 0.844129i | 0.906566 | + | 0.422065i | \(0.138694\pi\) | ||||
−0.906566 | + | 0.422065i | \(0.861306\pi\) | |||||||
\(812\) | 3.61857 | + | 7.39823i | 0.126987 | + | 0.259627i | ||||
\(813\) | 3.52010 | + | 25.1935i | 0.123455 | + | 0.883574i | ||||
\(814\) | 0.156547 | − | 0.271148i | 0.00548698 | − | 0.00950373i | ||||
\(815\) | −21.3677 | − | 37.0099i | −0.748478 | − | 1.29640i | ||||
\(816\) | −19.8411 | − | 25.4374i | −0.694576 | − | 0.890489i | ||||
\(817\) | −26.1253 | − | 15.0835i | −0.914009 | − | 0.527704i | ||||
\(818\) | 10.7920 | 0.377333 | ||||||||
\(819\) | −0.768010 | + | 2.35976i | −0.0268364 | + | 0.0824566i | ||||
\(820\) | −0.762300 | −0.0266207 | ||||||||
\(821\) | 20.3571 | + | 11.7532i | 0.710466 | + | 0.410188i | 0.811234 | − | 0.584722i | \(-0.198796\pi\) |
−0.100767 | + | 0.994910i | \(0.532130\pi\) | |||||||
\(822\) | −18.4633 | − | 23.6711i | −0.643983 | − | 0.825625i | ||||
\(823\) | −1.08860 | − | 1.88551i | −0.0379461 | − | 0.0657246i | 0.846429 | − | 0.532502i | \(-0.178748\pi\) |
−0.884375 | + | 0.466778i | \(0.845415\pi\) | |||||||
\(824\) | −4.83254 | + | 8.37021i | −0.168350 | + | 0.291590i | ||||
\(825\) | −0.430189 | − | 3.07887i | −0.0149773 | − | 0.107193i | ||||
\(826\) | −39.1511 | − | 2.69386i | −1.36224 | − | 0.0937312i | ||||
\(827\) | 35.0853i | 1.22003i | 0.792388 | + | 0.610017i | \(0.208838\pi\) | ||||
−0.792388 | + | 0.610017i | \(0.791162\pi\) | |||||||
\(828\) | −1.29703 | − | 0.325598i | −0.0450750 | − | 0.0113153i | ||||
\(829\) | 19.1964 | − | 11.0831i | 0.666719 | − | 0.384931i | −0.128113 | − | 0.991760i | \(-0.540892\pi\) |
0.794832 | + | 0.606829i | \(0.207559\pi\) | |||||||
\(830\) | −30.1453 | + | 17.4044i | −1.04636 | + | 0.604115i | ||||
\(831\) | −6.36844 | + | 15.7261i | −0.220919 | + | 0.545532i | ||||
\(832\) | 1.85620i | 0.0643522i | ||||||||
\(833\) | 10.6313 | + | 26.1454i | 0.368352 | + | 0.905884i | ||||
\(834\) | 51.9880 | − | 7.26391i | 1.80020 | − | 0.251529i | ||||
\(835\) | 16.9837 | − | 29.4166i | 0.587744 | − | 1.01800i | ||||
\(836\) | 0.584783 | + | 1.01287i | 0.0202251 | + | 0.0350309i | ||||
\(837\) | 27.2860 | − | 37.3665i | 0.943142 | − | 1.29157i | ||||
\(838\) | −54.4808 | − | 31.4545i | −1.88201 | − | 1.08658i | ||||
\(839\) | 40.1944 | 1.38767 | 0.693833 | − | 0.720136i | \(-0.255921\pi\) | ||||
0.693833 | + | 0.720136i | \(0.255921\pi\) | |||||||
\(840\) | 20.4279 | − | 1.43488i | 0.704831 | − | 0.0495079i | ||||
\(841\) | −37.0324 | −1.27698 | ||||||||
\(842\) | 52.7143 | + | 30.4346i | 1.81666 | + | 1.04885i | ||||
\(843\) | 20.3795 | − | 15.8959i | 0.701908 | − | 0.547484i | ||||
\(844\) | −3.27981 | − | 5.68080i | −0.112896 | − | 0.195541i | ||||
\(845\) | 11.5494 | − | 20.0041i | 0.397311 | − | 0.688163i | ||||
\(846\) | 8.04538 | + | 28.2284i | 0.276606 | + | 0.970514i | ||||
\(847\) | 2.19508 | + | 1.47704i | 0.0754237 | + | 0.0507517i | ||||
\(848\) | − | 36.4242i | − | 1.25081i | ||||||
\(849\) | 40.9262 | + | 16.5734i | 1.40458 | + | 0.568799i | ||||
\(850\) | 9.67503 | − | 5.58588i | 0.331851 | − | 0.191594i | ||||
\(851\) | −0.204391 | + | 0.118005i | −0.00700643 | + | 0.00404516i | ||||
\(852\) | −6.76781 | − | 2.74069i | −0.231861 | − | 0.0938946i | ||||
\(853\) | 8.08491i | 0.276822i | 0.990375 | + | 0.138411i | \(0.0441995\pi\) | ||||
−0.990375 | + | 0.138411i | \(0.955800\pi\) | |||||||
\(854\) | 7.26515 | − | 3.55348i | 0.248608 | − | 0.121598i | ||||
\(855\) | −4.49462 | − | 15.7701i | −0.153713 | − | 0.539325i | ||||
\(856\) | −8.31865 | + | 14.4083i | −0.284326 | + | 0.492466i | ||||
\(857\) | −25.0629 | − | 43.4103i | −0.856134 | − | 1.48287i | −0.875589 | − | 0.483057i | \(-0.839526\pi\) |
0.0194549 | − | 0.999811i | \(-0.493807\pi\) | |||||||
\(858\) | −0.659163 | + | 0.514144i | −0.0225035 | + | 0.0175526i | ||||
\(859\) | 6.95960 | + | 4.01813i | 0.237459 | + | 0.137097i | 0.614008 | − | 0.789300i | \(-0.289556\pi\) |
−0.376550 | + | 0.926396i | \(0.622890\pi\) | |||||||
\(860\) | 6.77615 | 0.231065 | ||||||||
\(861\) | 4.22200 | − | 2.84969i | 0.143885 | − | 0.0971173i | ||||
\(862\) | 10.9996 | 0.374649 | ||||||||
\(863\) | −38.9633 | − | 22.4955i | −1.32633 | − | 0.765755i | −0.341597 | − | 0.939847i | \(-0.610968\pi\) |
−0.984729 | + | 0.174092i | \(0.944301\pi\) | |||||||
\(864\) | −6.55421 | + | 8.97559i | −0.222979 | + | 0.305356i | ||||
\(865\) | −3.45063 | − | 5.97667i | −0.117325 | − | 0.203213i | ||||
\(866\) | 1.32042 | − | 2.28703i | 0.0448696 | − | 0.0777163i | ||||
\(867\) | 1.27411 | − | 0.178022i | 0.0432709 | − | 0.00604593i | ||||
\(868\) | 5.03817 | − | 7.48738i | 0.171007 | − | 0.254138i | ||||
\(869\) | 2.65789i | 0.0901627i | ||||||||
\(870\) | 14.6005 | − | 36.0542i | 0.495004 | − | 1.22235i | ||||
\(871\) | 3.24948 | − | 1.87609i | 0.110104 | − | 0.0635688i | ||||
\(872\) | 25.1701 | − | 14.5320i | 0.852367 | − | 0.492114i | ||||
\(873\) | −16.3427 | − | 4.10256i | −0.553117 | − | 0.138851i | ||||
\(874\) | − | 5.48453i | − | 0.185517i | ||||||
\(875\) | −2.20932 | + | 32.1090i | −0.0746885 | + | 1.08548i | ||||
\(876\) | −0.854721 | − | 6.11726i | −0.0288784 | − | 0.206683i | ||||
\(877\) | 18.1552 | − | 31.4456i | 0.613056 | − | 1.06184i | −0.377666 | − | 0.925942i | \(-0.623273\pi\) |
0.990722 | − | 0.135902i | \(-0.0433933\pi\) | |||||||
\(878\) | −12.3950 | − | 21.4687i | −0.418310 | − | 0.724534i | ||||
\(879\) | −3.81393 | − | 4.88968i | −0.128641 | − | 0.164925i | ||||
\(880\) | 7.16209 | + | 4.13503i | 0.241434 | + | 0.139392i | ||||
\(881\) | 51.6009 | 1.73848 | 0.869240 | − | 0.494391i | \(-0.164609\pi\) | ||||
0.869240 | + | 0.494391i | \(0.164609\pi\) | |||||||
\(882\) | 25.5333 | − | 19.9745i | 0.859752 | − | 0.672578i | ||||
\(883\) | −46.1132 | −1.55183 | −0.775916 | − | 0.630836i | \(-0.782712\pi\) | ||||
−0.775916 | + | 0.630836i | \(0.782712\pi\) | |||||||
\(884\) | −0.418206 | − | 0.241452i | −0.0140658 | − | 0.00812090i | ||||
\(885\) | 18.3245 | + | 23.4931i | 0.615971 | + | 0.789712i | ||||
\(886\) | 19.6953 | + | 34.1132i | 0.661676 | + | 1.14606i | ||||
\(887\) | −15.9647 | + | 27.6517i | −0.536042 | + | 0.928452i | 0.463070 | + | 0.886322i | \(0.346748\pi\) |
−0.999112 | + | 0.0421303i | \(0.986586\pi\) | |||||||
\(888\) | 0.121338 | + | 0.868419i | 0.00407183 | + | 0.0291422i | ||||
\(889\) | −0.639010 | + | 9.28703i | −0.0214317 | + | 0.311477i | ||||
\(890\) | − | 23.7578i | − | 0.796364i | ||||||
\(891\) | 8.99548 | − | 0.285230i | 0.301360 | − | 0.00955557i | ||||
\(892\) | 1.94050 | − | 1.12035i | 0.0649729 | − | 0.0375121i | ||||
\(893\) | −16.7585 | + | 9.67553i | −0.560802 | + | 0.323779i | ||||
\(894\) | 3.85657 | − | 9.52335i | 0.128983 | − | 0.318509i | ||||
\(895\) | 0.542805i | 0.0181440i | ||||||||
\(896\) | 19.8555 | − | 29.5079i | 0.663325 | − | 0.985789i | ||||
\(897\) | 0.624088 | − | 0.0871993i | 0.0208377 | − | 0.00291150i | ||||
\(898\) | 21.1299 | − | 36.5981i | 0.705115 | − | 1.22129i | ||||
\(899\) | 36.1787 | + | 62.6633i | 1.20663 | + | 2.08994i | ||||
\(900\) | −1.48145 | − | 1.43522i | −0.0493817 | − | 0.0478408i | ||||
\(901\) | −27.5333 | − | 15.8964i | −0.917268 | − | 0.529585i | ||||
\(902\) | 1.71591 | 0.0571335 | ||||||||
\(903\) | −37.5297 | + | 25.3312i | −1.24891 | + | 0.842969i | ||||
\(904\) | 15.2317 | 0.506600 | ||||||||
\(905\) | −21.1529 | − | 12.2126i | −0.703146 | − | 0.405961i | ||||
\(906\) | −38.5826 | + | 30.0942i | −1.28182 | + | 0.999813i | ||||
\(907\) | −6.26921 | − | 10.8586i | −0.208166 | − | 0.360554i | 0.742971 | − | 0.669324i | \(-0.233416\pi\) |
−0.951137 | + | 0.308770i | \(0.900083\pi\) | |||||||
\(908\) | 4.31617 | − | 7.47583i | 0.143237 | − | 0.248094i | ||||
\(909\) | −33.1258 | + | 9.44118i | −1.09871 | + | 0.313144i | ||||
\(910\) | 2.05364 | − | 1.00446i | 0.0680776 | − | 0.0332977i | ||||
\(911\) | − | 8.83725i | − | 0.292791i | −0.989226 | − | 0.146396i | \(-0.953233\pi\) | ||
0.989226 | − | 0.146396i | \(-0.0467672\pi\) | |||||||
\(912\) | −22.6422 | − | 9.16918i | −0.749758 | − | 0.303622i | ||||
\(913\) | 10.9076 | − | 6.29748i | 0.360987 | − | 0.208416i | ||||
\(914\) | −15.0865 | + | 8.71021i | −0.499018 | + | 0.288108i | ||||
\(915\) | −5.69132 | − | 2.30475i | −0.188149 | − | 0.0761928i | ||||
\(916\) | 10.6932i | 0.353313i | ||||||||
\(917\) | −13.7866 | − | 9.27682i | −0.455273 | − | 0.306348i | ||||
\(918\) | 13.0837 | + | 29.5779i | 0.431828 | + | 0.976217i | ||||
\(919\) | −13.3221 | + | 23.0745i | −0.439455 | + | 0.761158i | −0.997647 | − | 0.0685537i | \(-0.978162\pi\) |
0.558193 | + | 0.829711i | \(0.311495\pi\) | |||||||
\(920\) | −2.60002 | − | 4.50337i | −0.0857202 | − | 0.148472i | ||||
\(921\) | −34.4373 | + | 26.8609i | −1.13475 | + | 0.885098i | ||||
\(922\) | −24.8242 | − | 14.3323i | −0.817541 | − | 0.472008i | ||||
\(923\) | 3.44070 | 0.113252 | ||||||||
\(924\) | 1.75113 | − | 0.123001i | 0.0576078 | − | 0.00404642i | ||||
\(925\) | −0.364030 | −0.0119692 | ||||||||
\(926\) | −39.1735 | − | 22.6168i | −1.28732 | − | 0.743234i | ||||
\(927\) | 8.08274 | − | 8.34309i | 0.265472 | − | 0.274023i | ||||
\(928\) | −8.69028 | − | 15.0520i | −0.285272 | − | 0.494106i | ||||
\(929\) | 3.19802 | − | 5.53914i | 0.104924 | − | 0.181733i | −0.808783 | − | 0.588107i | \(-0.799873\pi\) |
0.913707 | + | 0.406373i | \(0.133207\pi\) | |||||||
\(930\) | −42.2142 | + | 5.89828i | −1.38426 | + | 0.193412i | ||||
\(931\) | 16.8707 | + | 13.1204i | 0.552915 | + | 0.430002i | ||||
\(932\) | − | 9.79947i | − | 0.320992i | ||||||
\(933\) | −3.33276 | + | 8.22986i | −0.109110 | + | 0.269433i | ||||
\(934\) | −43.6829 | + | 25.2203i | −1.42935 | + | 0.825235i | ||||
\(935\) | 6.25141 | − | 3.60925i | 0.204443 | − | 0.118035i | ||||
\(936\) | 0.570035 | − | 2.27076i | 0.0186322 | − | 0.0742221i | ||||
\(937\) | − | 22.1666i | − | 0.724153i | −0.932148 | − | 0.362076i | \(-0.882068\pi\) | ||
0.932148 | − | 0.362076i | \(-0.117932\pi\) | |||||||
\(938\) | −48.9007 | − | 3.36469i | −1.59666 | − | 0.109861i | ||||
\(939\) | 1.71056 | + | 12.2425i | 0.0558220 | + | 0.399520i | ||||
\(940\) | 2.17334 | − | 3.76433i | 0.0708864 | − | 0.122779i | ||||
\(941\) | −4.80357 | − | 8.32003i | −0.156592 | − | 0.271225i | 0.777046 | − | 0.629444i | \(-0.216717\pi\) |
−0.933638 | + | 0.358219i | \(0.883384\pi\) | |||||||
\(942\) | −27.1015 | − | 34.7457i | −0.883014 | − | 1.13208i | ||||
\(943\) | −1.12016 | − | 0.646724i | −0.0364774 | − | 0.0210602i | ||||
\(944\) | 44.3851 | 1.44461 | ||||||||
\(945\) | −24.2330 | − | 4.30522i | −0.788299 | − | 0.140049i | ||||
\(946\) | −15.2529 | −0.495913 | ||||||||
\(947\) | 52.1892 | + | 30.1315i | 1.69592 | + | 0.979141i | 0.949552 | + | 0.313609i | \(0.101538\pi\) |
0.746370 | + | 0.665532i | \(0.231795\pi\) | |||||||
\(948\) | 1.08460 | + | 1.39052i | 0.0352262 | + | 0.0451621i | ||||
\(949\) | 1.45529 | + | 2.52063i | 0.0472406 | + | 0.0818231i | ||||
\(950\) | 4.22976 | − | 7.32616i | 0.137232 | − | 0.237692i | ||||
\(951\) | −2.72541 | − | 19.5058i | −0.0883773 | − | 0.632519i | ||||
\(952\) | −11.6995 | − | 23.9197i | −0.379182 | − | 0.775243i | ||||
\(953\) | − | 26.7268i | − | 0.865766i | −0.901450 | − | 0.432883i | \(-0.857496\pi\) | ||
0.901450 | − | 0.432883i | \(-0.142504\pi\) | |||||||
\(954\) | −8.89108 | + | 35.4180i | −0.287859 | + | 1.14670i | ||||
\(955\) | 17.3655 | − | 10.0260i | 0.561934 | − | 0.324433i | ||||
\(956\) | 6.26498 | − | 3.61709i | 0.202624 | − | 0.116985i | ||||
\(957\) | −5.28294 | + | 13.0456i | −0.170773 | + | 0.421704i | ||||
\(958\) | 1.57253i | 0.0508061i | ||||||||
\(959\) | −13.0517 | − | 26.6845i | −0.421462 | − | 0.861686i | ||||
\(960\) | −18.2327 | + | 2.54752i | −0.588458 | + | 0.0822210i | ||||
\(961\) | 24.1441 | − | 41.8187i | 0.778840 | − | 1.34899i | ||||
\(962\) | 0.0489447 | + | 0.0847747i | 0.00157804 | + | 0.00273325i | ||||
\(963\) | 13.9135 | − | 14.3616i | 0.448356 | − | 0.462798i | ||||
\(964\) | −3.62773 | − | 2.09447i | −0.116841 | − | 0.0674583i | ||||
\(965\) | −39.2875 | −1.26471 | ||||||||
\(966\) | −7.39993 | − | 3.60633i | −0.238089 | − | 0.116032i | ||||
\(967\) | −28.3729 | −0.912411 | −0.456206 | − | 0.889874i | \(-0.650792\pi\) | ||||
−0.456206 | + | 0.889874i | \(0.650792\pi\) | |||||||
\(968\) | −2.16168 | − | 1.24804i | −0.0694789 | − | 0.0401137i | ||||
\(969\) | −16.8127 | + | 13.1138i | −0.540100 | + | 0.421275i | ||||
\(970\) | 7.76131 | + | 13.4430i | 0.249201 | + | 0.431628i | ||||
\(971\) | 25.4870 | − | 44.1447i | 0.817916 | − | 1.41667i | −0.0892993 | − | 0.996005i | \(-0.528463\pi\) |
0.907215 | − | 0.420667i | \(-0.138204\pi\) | |||||||
\(972\) | 4.58975 | − | 3.81999i | 0.147216 | − | 0.122526i | ||||
\(973\) | 51.8199 | + | 3.56555i | 1.66127 | + | 0.114306i | ||||
\(974\) | − | 62.4015i | − | 1.99947i | ||||||
\(975\) | 0.900898 | + | 0.364827i | 0.0288518 | + | 0.0116838i | ||||
\(976\) | −7.92172 | + | 4.57360i | −0.253568 | + | 0.146398i | ||||
\(977\) | −5.52362 | + | 3.18906i | −0.176716 | + | 0.102027i | −0.585749 | − | 0.810493i | \(-0.699200\pi\) |
0.409033 | + | 0.912520i | \(0.365866\pi\) | |||||||
\(978\) | 59.1586 | + | 23.9568i | 1.89168 | + | 0.766055i | ||||
\(979\) | 8.59636i | 0.274741i | ||||||||
\(980\) | −4.75539 | − | 0.657518i | −0.151905 | − | 0.0210036i | ||||
\(981\) | −33.5936 | + | 9.57450i | −1.07256 | + | 0.305690i | ||||
\(982\) | 0.0258522 | − | 0.0447774i | 0.000824978 | − | 0.00142890i | ||||
\(983\) | 20.2941 | + | 35.1504i | 0.647281 | + | 1.12112i | 0.983770 | + | 0.179436i | \(0.0574273\pi\) |
−0.336489 | + | 0.941688i | \(0.609239\pi\) | |||||||
\(984\) | −3.78923 | + | 2.95557i | −0.120796 | + | 0.0942203i | ||||
\(985\) | −2.65913 | − | 1.53525i | −0.0847270 | − | 0.0489172i | ||||
\(986\) | −50.5790 | −1.61076 | ||||||||
\(987\) | 2.03511 | + | 28.9733i | 0.0647782 | + | 0.922229i | ||||
\(988\) | −0.365666 | −0.0116334 | ||||||||
\(989\) | 9.95720 | + | 5.74879i | 0.316621 | + | 0.182801i | ||||
\(990\) | −5.95488 | − | 5.76906i | −0.189259 | − | 0.183353i | ||||
\(991\) | 5.88123 | + | 10.1866i | 0.186823 | + | 0.323588i | 0.944189 | − | 0.329403i | \(-0.106847\pi\) |
−0.757366 | + | 0.652991i | \(0.773514\pi\) | |||||||
\(992\) | −9.52268 | + | 16.4938i | −0.302345 | + | 0.523677i | ||||
\(993\) | −34.2811 | + | 4.78985i | −1.08788 | + | 0.152001i | ||||
\(994\) | −37.2910 | − | 25.0927i | −1.18280 | − | 0.795891i | ||||
\(995\) | − | 26.2600i | − | 0.832498i | ||||||
\(996\) | 3.13668 | − | 7.74567i | 0.0993896 | − | 0.245431i | ||||
\(997\) | −18.7096 | + | 10.8020i | −0.592539 | + | 0.342103i | −0.766101 | − | 0.642720i | \(-0.777806\pi\) |
0.173562 | + | 0.984823i | \(0.444472\pi\) | |||||||
\(998\) | 7.26340 | − | 4.19352i | 0.229919 | − | 0.132744i | ||||
\(999\) | 0.112682 | − | 1.04783i | 0.00356511 | − | 0.0331520i |
(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 | 231.2.n.a.89.20 | yes | 52 | |
3.2 | odd | 2 | inner | 231.2.n.a.89.7 | ✓ | 52 | |
7.3 | odd | 6 | inner | 231.2.n.a.122.7 | yes | 52 | |
21.17 | even | 6 | inner | 231.2.n.a.122.20 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.n.a.89.7 | ✓ | 52 | 3.2 | odd | 2 | inner | |
231.2.n.a.89.20 | yes | 52 | 1.1 | even | 1 | trivial | |
231.2.n.a.122.7 | yes | 52 | 7.3 | odd | 6 | inner | |
231.2.n.a.122.20 | yes | 52 | 21.17 | even | 6 | inner |