Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,2,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.199626005053\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 8.0.58140625.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 4x^{6} - 7x^{5} + 11x^{4} + 5x^{3} - 10x^{2} - 25x + 25 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(-0.983224 - 0.644389i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 25.4 |
Dual form | 25.2.e.a.19.1 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.98322 | − | 0.644389i | −1.40235 | − | 0.455652i | −0.492401 | − | 0.870369i | \(-0.663881\pi\) |
−0.909950 | + | 0.414717i | \(0.863881\pi\) | |||||||
\(3\) | 1.29224 | − | 1.77862i | 0.746076 | − | 1.02689i | −0.252170 | − | 0.967683i | \(-0.581144\pi\) |
0.998246 | − | 0.0592022i | \(-0.0188557\pi\) | |||||||
\(4\) | 1.89991 | + | 1.38036i | 0.949953 | + | 0.690182i | ||||
\(5\) | −1.22570 | + | 1.87020i | −0.548150 | + | 0.836380i | ||||
\(6\) | −3.70892 | + | 2.69469i | −1.51416 | + | 1.10010i | ||||
\(7\) | 0.992398i | 0.375091i | 0.982256 | + | 0.187546i | \(0.0600533\pi\) | ||||
−0.982256 | + | 0.187546i | \(0.939947\pi\) | |||||||
\(8\) | −0.427051 | − | 0.587785i | −0.150985 | − | 0.207813i | ||||
\(9\) | −0.566541 | − | 1.74363i | −0.188847 | − | 0.581211i | ||||
\(10\) | 3.63597 | − | 2.91920i | 1.14980 | − | 0.923134i | ||||
\(11\) | 0.618034 | − | 1.90211i | 0.186344 | − | 0.573509i | −0.813625 | − | 0.581390i | \(-0.802509\pi\) |
0.999969 | + | 0.00788181i | \(0.00250889\pi\) | |||||||
\(12\) | 4.91027 | − | 1.59545i | 1.41747 | − | 0.460565i | ||||
\(13\) | −3.20892 | + | 1.04264i | −0.889995 | + | 0.289177i | −0.718101 | − | 0.695938i | \(-0.754989\pi\) |
−0.171894 | + | 0.985115i | \(0.554989\pi\) | |||||||
\(14\) | 0.639490 | − | 1.96815i | 0.170911 | − | 0.526010i | ||||
\(15\) | 1.74248 | + | 4.59680i | 0.449905 | + | 1.18689i | ||||
\(16\) | −0.983224 | − | 3.02605i | −0.245806 | − | 0.756513i | ||||
\(17\) | −1.70135 | − | 2.34171i | −0.412638 | − | 0.567948i | 0.551221 | − | 0.834359i | \(-0.314162\pi\) |
−0.963859 | + | 0.266411i | \(0.914162\pi\) | |||||||
\(18\) | 3.82309i | 0.901111i | ||||||||
\(19\) | −2.09089 | + | 1.51912i | −0.479683 | + | 0.348510i | −0.801203 | − | 0.598393i | \(-0.795806\pi\) |
0.321520 | + | 0.946903i | \(0.395806\pi\) | |||||||
\(20\) | −4.91027 | + | 1.86130i | −1.09797 | + | 0.416200i | ||||
\(21\) | 1.76510 | + | 1.28242i | 0.385176 | + | 0.279847i | ||||
\(22\) | −2.45140 | + | 3.37406i | −0.522640 | + | 0.719352i | ||||
\(23\) | 4.32696 | + | 1.40591i | 0.902233 | + | 0.293153i | 0.723158 | − | 0.690682i | \(-0.242690\pi\) |
0.179075 | + | 0.983835i | \(0.442690\pi\) | |||||||
\(24\) | −1.59730 | −0.326047 | ||||||||
\(25\) | −1.99532 | − | 4.58462i | −0.399064 | − | 0.916923i | ||||
\(26\) | 7.03588 | 1.37985 | ||||||||
\(27\) | 2.43930 | + | 0.792578i | 0.469444 | + | 0.152532i | ||||
\(28\) | −1.36987 | + | 1.88546i | −0.258881 | + | 0.356319i | ||||
\(29\) | −4.35599 | − | 3.16481i | −0.808886 | − | 0.587690i | 0.104621 | − | 0.994512i | \(-0.466637\pi\) |
−0.913508 | + | 0.406822i | \(0.866637\pi\) | |||||||
\(30\) | −0.493592 | − | 10.2393i | −0.0901172 | − | 1.86944i | ||||
\(31\) | −0.110461 | + | 0.0802548i | −0.0198394 | + | 0.0144142i | −0.597661 | − | 0.801749i | \(-0.703903\pi\) |
0.577821 | + | 0.816163i | \(0.303903\pi\) | |||||||
\(32\) | 8.08800i | 1.42977i | ||||||||
\(33\) | −2.58448 | − | 3.55723i | −0.449901 | − | 0.619235i | ||||
\(34\) | 1.86519 | + | 5.74046i | 0.319877 | + | 0.984482i | ||||
\(35\) | −1.85599 | − | 1.21638i | −0.313719 | − | 0.205606i | ||||
\(36\) | 1.33047 | − | 4.09478i | 0.221746 | − | 0.682463i | ||||
\(37\) | 2.04392 | − | 0.664110i | 0.336018 | − | 0.109179i | −0.136148 | − | 0.990689i | \(-0.543472\pi\) |
0.472166 | + | 0.881510i | \(0.343472\pi\) | |||||||
\(38\) | 5.12561 | − | 1.66541i | 0.831483 | − | 0.270165i | ||||
\(39\) | −2.29224 | + | 7.05479i | −0.367052 | + | 1.12967i | ||||
\(40\) | 1.62271 | − | 0.0782238i | 0.256574 | − | 0.0123683i | ||||
\(41\) | 2.66780 | + | 8.21064i | 0.416640 | + | 1.28229i | 0.910776 | + | 0.412902i | \(0.135485\pi\) |
−0.494135 | + | 0.869385i | \(0.664515\pi\) | |||||||
\(42\) | −2.67421 | − | 3.68073i | −0.412639 | − | 0.567949i | ||||
\(43\) | − | 4.64398i | − | 0.708200i | −0.935208 | − | 0.354100i | \(-0.884787\pi\) | ||
0.935208 | − | 0.354100i | \(-0.115213\pi\) | |||||||
\(44\) | 3.79981 | − | 2.76073i | 0.572843 | − | 0.416195i | ||||
\(45\) | 3.95536 | + | 1.07763i | 0.589630 | + | 0.160643i | ||||
\(46\) | −7.67537 | − | 5.57648i | −1.13167 | − | 0.822208i | ||||
\(47\) | 5.83453 | − | 8.03054i | 0.851054 | − | 1.17137i | −0.132576 | − | 0.991173i | \(-0.542325\pi\) |
0.983630 | − | 0.180202i | \(-0.0576752\pi\) | |||||||
\(48\) | −6.65275 | − | 2.16161i | −0.960242 | − | 0.312001i | ||||
\(49\) | 6.01515 | 0.859306 | ||||||||
\(50\) | 1.00289 | + | 10.3781i | 0.141830 | + | 1.46768i | ||||
\(51\) | −6.36356 | −0.891077 | ||||||||
\(52\) | −7.53588 | − | 2.44856i | −1.04504 | − | 0.339554i | ||||
\(53\) | −4.44672 | + | 6.12038i | −0.610804 | + | 0.840699i | −0.996643 | − | 0.0818665i | \(-0.973912\pi\) |
0.385839 | + | 0.922566i | \(0.373912\pi\) | |||||||
\(54\) | −4.32696 | − | 3.14372i | −0.588824 | − | 0.427806i | ||||
\(55\) | 2.79981 | + | 3.48727i | 0.377527 | + | 0.470223i | ||||
\(56\) | 0.583317 | − | 0.423805i | 0.0779490 | − | 0.0566333i | ||||
\(57\) | 5.68196i | 0.752594i | ||||||||
\(58\) | 6.59953 | + | 9.08347i | 0.866561 | + | 1.19272i | ||||
\(59\) | −1.51967 | − | 4.67706i | −0.197844 | − | 0.608901i | −0.999932 | − | 0.0116948i | \(-0.996277\pi\) |
0.802088 | − | 0.597206i | \(-0.203723\pi\) | |||||||
\(60\) | −3.03472 | + | 11.1387i | −0.391780 | + | 1.43801i | ||||
\(61\) | −0.855890 | + | 2.63416i | −0.109585 | + | 0.337269i | −0.990779 | − | 0.135486i | \(-0.956740\pi\) |
0.881194 | + | 0.472755i | \(0.156740\pi\) | |||||||
\(62\) | 0.270785 | − | 0.0879833i | 0.0343897 | − | 0.0111739i | ||||
\(63\) | 1.73038 | − | 0.562235i | 0.218007 | − | 0.0708349i | ||||
\(64\) | 3.24537 | − | 9.98822i | 0.405671 | − | 1.24853i | ||||
\(65\) | 1.98322 | − | 7.27931i | 0.245989 | − | 0.902887i | ||||
\(66\) | 2.83337 | + | 8.72020i | 0.348763 | + | 1.07338i | ||||
\(67\) | −1.28477 | − | 1.76833i | −0.156959 | − | 0.216036i | 0.723294 | − | 0.690540i | \(-0.242627\pi\) |
−0.880253 | + | 0.474505i | \(0.842627\pi\) | |||||||
\(68\) | − | 6.79751i | − | 0.824319i | ||||||
\(69\) | 8.09205 | − | 5.87922i | 0.974169 | − | 0.707775i | ||||
\(70\) | 2.89701 | + | 3.60834i | 0.346259 | + | 0.431279i | ||||
\(71\) | −7.80098 | − | 5.66774i | −0.925806 | − | 0.672637i | 0.0191565 | − | 0.999816i | \(-0.493902\pi\) |
−0.944962 | + | 0.327179i | \(0.893902\pi\) | |||||||
\(72\) | −0.782941 | + | 1.07763i | −0.0922704 | + | 0.126999i | ||||
\(73\) | −0.737953 | − | 0.239775i | −0.0863708 | − | 0.0280636i | 0.265513 | − | 0.964107i | \(-0.414459\pi\) |
−0.351884 | + | 0.936044i | \(0.614459\pi\) | |||||||
\(74\) | −4.48150 | −0.520963 | ||||||||
\(75\) | −10.7327 | − | 2.37552i | −1.23931 | − | 0.274301i | ||||
\(76\) | −6.06943 | −0.696212 | ||||||||
\(77\) | 1.88765 | + | 0.613336i | 0.215118 | + | 0.0698961i | ||||
\(78\) | 9.09205 | − | 12.5141i | 1.02947 | − | 1.41695i | ||||
\(79\) | 12.8236 | + | 9.31689i | 1.44277 | + | 1.04823i | 0.987455 | + | 0.157900i | \(0.0504725\pi\) |
0.455313 | + | 0.890332i | \(0.349527\pi\) | |||||||
\(80\) | 6.86447 | + | 1.87020i | 0.767471 | + | 0.209095i | ||||
\(81\) | 9.01153 | − | 6.54726i | 1.00128 | − | 0.727474i | ||||
\(82\) | − | 18.0026i | − | 1.98806i | ||||||
\(83\) | −1.04103 | − | 1.43285i | −0.114268 | − | 0.157276i | 0.748052 | − | 0.663640i | \(-0.230989\pi\) |
−0.862320 | + | 0.506364i | \(0.830989\pi\) | |||||||
\(84\) | 1.58332 | + | 4.87295i | 0.172754 | + | 0.531682i | ||||
\(85\) | 6.46482 | − | 0.311640i | 0.701208 | − | 0.0338021i | ||||
\(86\) | −2.99252 | + | 9.21004i | −0.322692 | + | 0.993144i | ||||
\(87\) | −11.2580 | + | 3.65794i | −1.20698 | + | 0.392172i | ||||
\(88\) | −1.38197 | + | 0.449028i | −0.147318 | + | 0.0478665i | ||||
\(89\) | −4.48322 | + | 13.7979i | −0.475221 | + | 1.46258i | 0.370439 | + | 0.928857i | \(0.379207\pi\) |
−0.845660 | + | 0.533722i | \(0.820793\pi\) | |||||||
\(90\) | −7.14996 | − | 4.68596i | −0.753671 | − | 0.493944i | ||||
\(91\) | −1.03472 | − | 3.18453i | −0.108468 | − | 0.333830i | ||||
\(92\) | 6.28015 | + | 8.64388i | 0.654750 | + | 0.901187i | ||||
\(93\) | 0.300177i | 0.0311269i | ||||||||
\(94\) | −16.7460 | + | 12.1667i | −1.72721 | + | 1.25490i | ||||
\(95\) | −0.278260 | − | 5.77237i | −0.0285489 | − | 0.592233i | ||||
\(96\) | 14.3855 | + | 10.4516i | 1.46821 | + | 1.06672i | ||||
\(97\) | −10.0095 | + | 13.7768i | −1.01631 | + | 1.39883i | −0.101545 | + | 0.994831i | \(0.532379\pi\) |
−0.914761 | + | 0.403995i | \(0.867621\pi\) | |||||||
\(98\) | −11.9294 | − | 3.87609i | −1.20505 | − | 0.391544i | ||||
\(99\) | −3.66673 | −0.368520 | ||||||||
\(100\) | 2.53751 | − | 11.4646i | 0.253751 | − | 1.14646i | ||||
\(101\) | −2.54716 | −0.253452 | −0.126726 | − | 0.991938i | \(-0.540447\pi\) | ||||
−0.126726 | + | 0.991938i | \(0.540447\pi\) | |||||||
\(102\) | 12.6204 | + | 4.10060i | 1.24960 | + | 0.406020i | ||||
\(103\) | −5.97509 | + | 8.22400i | −0.588743 | + | 0.810335i | −0.994620 | − | 0.103593i | \(-0.966966\pi\) |
0.405877 | + | 0.913928i | \(0.366966\pi\) | |||||||
\(104\) | 1.98322 | + | 1.44090i | 0.194471 | + | 0.141292i | ||||
\(105\) | −4.56186 | + | 1.72923i | −0.445192 | + | 0.168756i | ||||
\(106\) | 12.7627 | − | 9.27268i | 1.23963 | − | 0.900642i | ||||
\(107\) | − | 4.81720i | − | 0.465697i | −0.972513 | − | 0.232848i | \(-0.925195\pi\) | ||
0.972513 | − | 0.232848i | \(-0.0748046\pi\) | |||||||
\(108\) | 3.54040 | + | 4.87295i | 0.340676 | + | 0.468900i | ||||
\(109\) | −5.02903 | − | 15.4778i | −0.481694 | − | 1.48250i | −0.836713 | − | 0.547642i | \(-0.815526\pi\) |
0.355019 | − | 0.934859i | \(-0.384474\pi\) | |||||||
\(110\) | −3.30550 | − | 8.72020i | −0.315167 | − | 0.831439i | ||||
\(111\) | 1.46004 | − | 4.49354i | 0.138581 | − | 0.426508i | ||||
\(112\) | 3.00305 | − | 0.975750i | 0.283762 | − | 0.0921997i | ||||
\(113\) | 6.42633 | − | 2.08804i | 0.604538 | − | 0.196426i | 0.00927487 | − | 0.999957i | \(-0.497048\pi\) |
0.595264 | + | 0.803531i | \(0.297048\pi\) | |||||||
\(114\) | 3.66139 | − | 11.2686i | 0.342921 | − | 1.05540i | ||||
\(115\) | −7.93290 | + | 6.36906i | −0.739746 | + | 0.593918i | ||||
\(116\) | −3.90738 | − | 12.0257i | −0.362791 | − | 1.11656i | ||||
\(117\) | 3.63597 | + | 5.00449i | 0.336146 | + | 0.462665i | ||||
\(118\) | 10.2549i | 0.944041i | ||||||||
\(119\) | 2.32391 | − | 1.68842i | 0.213032 | − | 0.154777i | ||||
\(120\) | 1.95781 | − | 2.98727i | 0.178723 | − | 0.272699i | ||||
\(121\) | 5.66312 | + | 4.11450i | 0.514829 | + | 0.374045i | ||||
\(122\) | 3.39484 | − | 4.67260i | 0.307355 | − | 0.423037i | ||||
\(123\) | 18.0510 | + | 5.86513i | 1.62761 | + | 0.528841i | ||||
\(124\) | −0.320647 | −0.0287950 | ||||||||
\(125\) | 11.0198 | + | 1.88771i | 0.985643 | + | 0.168842i | ||||
\(126\) | −3.79403 | −0.337999 | ||||||||
\(127\) | −1.41785 | − | 0.460687i | −0.125814 | − | 0.0408793i | 0.245433 | − | 0.969413i | \(-0.421070\pi\) |
−0.371247 | + | 0.928534i | \(0.621070\pi\) | |||||||
\(128\) | −3.36457 | + | 4.63093i | −0.297389 | + | 0.409320i | ||||
\(129\) | −8.25985 | − | 6.00114i | −0.727240 | − | 0.528370i | ||||
\(130\) | −8.62388 | + | 13.1585i | −0.756364 | + | 1.15408i | ||||
\(131\) | −11.4190 | + | 8.29640i | −0.997684 | + | 0.724860i | −0.961590 | − | 0.274489i | \(-0.911491\pi\) |
−0.0360934 | + | 0.999348i | \(0.511491\pi\) | |||||||
\(132\) | − | 10.3259i | − | 0.898757i | ||||||
\(133\) | −1.50757 | − | 2.07500i | −0.130723 | − | 0.179925i | ||||
\(134\) | 1.40849 | + | 4.33488i | 0.121675 | + | 0.374476i | ||||
\(135\) | −4.47214 | + | 3.59053i | −0.384900 | + | 0.309024i | ||||
\(136\) | −0.649858 | + | 2.00006i | −0.0557249 | + | 0.171504i | ||||
\(137\) | 0.655703 | − | 0.213051i | 0.0560205 | − | 0.0182022i | −0.280873 | − | 0.959745i | \(-0.590624\pi\) |
0.336893 | + | 0.941543i | \(0.390624\pi\) | |||||||
\(138\) | −19.8369 | + | 6.44539i | −1.68863 | + | 0.548668i | ||||
\(139\) | 5.12099 | − | 15.7608i | 0.434356 | − | 1.33681i | −0.459388 | − | 0.888236i | \(-0.651931\pi\) |
0.893745 | − | 0.448576i | \(-0.148069\pi\) | |||||||
\(140\) | −1.84715 | − | 4.87295i | −0.156113 | − | 0.411839i | ||||
\(141\) | −6.74364 | − | 20.7548i | −0.567917 | − | 1.74787i | ||||
\(142\) | 11.8189 | + | 16.2673i | 0.991817 | + | 1.36512i | ||||
\(143\) | 6.74812i | 0.564307i | ||||||||
\(144\) | −4.71929 | + | 3.42877i | −0.393274 | + | 0.285731i | ||||
\(145\) | 11.2580 | − | 4.26747i | 0.934923 | − | 0.354394i | ||||
\(146\) | 1.30902 | + | 0.951057i | 0.108335 | + | 0.0787100i | ||||
\(147\) | 7.77302 | − | 10.6986i | 0.641108 | − | 0.882409i | ||||
\(148\) | 4.79997 | + | 1.55961i | 0.394555 | + | 0.128199i | ||||
\(149\) | −3.21156 | −0.263101 | −0.131551 | − | 0.991309i | \(-0.541996\pi\) | ||||
−0.131551 | + | 0.991309i | \(0.541996\pi\) | |||||||
\(150\) | 19.7546 | + | 11.6272i | 1.61296 | + | 0.949358i | ||||
\(151\) | 17.6863 | 1.43929 | 0.719647 | − | 0.694340i | \(-0.244304\pi\) | ||||
0.719647 | + | 0.694340i | \(0.244304\pi\) | |||||||
\(152\) | 1.78583 | + | 0.580252i | 0.144850 | + | 0.0470647i | ||||
\(153\) | −3.11920 | + | 4.29321i | −0.252172 | + | 0.347085i | ||||
\(154\) | −3.34841 | − | 2.43277i | −0.269823 | − | 0.196038i | ||||
\(155\) | −0.0147004 | − | 0.304953i | −0.00118077 | − | 0.0244944i | ||||
\(156\) | −14.0932 | + | 10.2393i | −1.12836 | + | 0.819802i | ||||
\(157\) | 1.65512i | 0.132093i | 0.997817 | + | 0.0660465i | \(0.0210386\pi\) | ||||
−0.997817 | + | 0.0660465i | \(0.978961\pi\) | |||||||
\(158\) | −19.4284 | − | 26.7409i | −1.54564 | − | 2.12739i | ||||
\(159\) | 5.13959 | + | 15.8180i | 0.407596 | + | 1.25445i | ||||
\(160\) | −15.1262 | − | 9.91346i | −1.19583 | − | 0.783728i | ||||
\(161\) | −1.39523 | + | 4.29407i | −0.109959 | + | 0.338420i | ||||
\(162\) | −22.0909 | + | 7.17776i | −1.73562 | + | 0.563938i | ||||
\(163\) | 0.849231 | − | 0.275932i | 0.0665169 | − | 0.0216127i | −0.275570 | − | 0.961281i | \(-0.588866\pi\) |
0.342086 | + | 0.939668i | \(0.388866\pi\) | |||||||
\(164\) | −6.26510 | + | 19.2820i | −0.489222 | + | 1.50567i | ||||
\(165\) | 9.82055 | − | 0.473405i | 0.764529 | − | 0.0368545i | ||||
\(166\) | 1.14128 | + | 3.51249i | 0.0885803 | + | 0.272622i | ||||
\(167\) | −3.05388 | − | 4.20331i | −0.236317 | − | 0.325262i | 0.674344 | − | 0.738417i | \(-0.264427\pi\) |
−0.910660 | + | 0.413156i | \(0.864427\pi\) | |||||||
\(168\) | − | 1.58516i | − | 0.122297i | ||||||
\(169\) | −1.30713 | + | 0.949687i | −0.100549 | + | 0.0730529i | ||||
\(170\) | −13.0220 | − | 3.54780i | −0.998742 | − | 0.272104i | ||||
\(171\) | 3.83337 | + | 2.78510i | 0.293145 | + | 0.212982i | ||||
\(172\) | 6.41037 | − | 8.82312i | 0.488786 | − | 0.672757i | ||||
\(173\) | 5.48250 | + | 1.78137i | 0.416827 | + | 0.135435i | 0.509919 | − | 0.860222i | \(-0.329675\pi\) |
−0.0930924 | + | 0.995657i | \(0.529675\pi\) | |||||||
\(174\) | 24.6842 | 1.87130 | ||||||||
\(175\) | 4.54977 | − | 1.98015i | 0.343930 | − | 0.149685i | ||||
\(176\) | −6.36356 | −0.479671 | ||||||||
\(177\) | −10.2825 | − | 3.34098i | −0.772878 | − | 0.251123i | ||||
\(178\) | 17.7825 | − | 24.4755i | 1.33285 | − | 1.83451i | ||||
\(179\) | 7.01326 | + | 5.09543i | 0.524196 | + | 0.380850i | 0.818182 | − | 0.574959i | \(-0.194982\pi\) |
−0.293986 | + | 0.955810i | \(0.594982\pi\) | |||||||
\(180\) | 6.02730 | + | 7.50722i | 0.449249 | + | 0.559555i | ||||
\(181\) | −11.5616 | + | 8.39996i | −0.859363 | + | 0.624364i | −0.927712 | − | 0.373297i | \(-0.878227\pi\) |
0.0683483 | + | 0.997662i | \(0.478227\pi\) | |||||||
\(182\) | 6.98240i | 0.517570i | ||||||||
\(183\) | 3.57914 | + | 4.92627i | 0.264578 | + | 0.364160i | ||||
\(184\) | −1.02146 | − | 3.14372i | −0.0753027 | − | 0.231758i | ||||
\(185\) | −1.26321 | + | 4.63655i | −0.0928732 | + | 0.340886i | ||||
\(186\) | 0.193431 | − | 0.595318i | 0.0141830 | − | 0.0436508i | ||||
\(187\) | −5.50569 | + | 1.78891i | −0.402616 | + | 0.130818i | ||||
\(188\) | 22.1701 | − | 7.20351i | 1.61692 | − | 0.525370i | ||||
\(189\) | −0.786553 | + | 2.42076i | −0.0572133 | + | 0.176084i | ||||
\(190\) | −3.16780 | + | 11.6272i | −0.229816 | + | 0.843527i | ||||
\(191\) | −0.391326 | − | 1.20438i | −0.0283154 | − | 0.0871458i | 0.935900 | − | 0.352265i | \(-0.114589\pi\) |
−0.964216 | + | 0.265120i | \(0.914589\pi\) | |||||||
\(192\) | −13.5714 | − | 18.6795i | −0.979433 | − | 1.34807i | ||||
\(193\) | − | 21.1730i | − | 1.52406i | −0.647540 | − | 0.762031i | \(-0.724202\pi\) | ||
0.647540 | − | 0.762031i | \(-0.275798\pi\) | |||||||
\(194\) | 28.7286 | − | 20.8726i | 2.06260 | − | 1.49856i | ||||
\(195\) | −10.3843 | − | 12.9340i | −0.743635 | − | 0.926224i | ||||
\(196\) | 11.4282 | + | 8.30308i | 0.816301 | + | 0.593077i | ||||
\(197\) | −7.17176 | + | 9.87108i | −0.510967 | + | 0.703285i | −0.984082 | − | 0.177715i | \(-0.943129\pi\) |
0.473115 | + | 0.881001i | \(0.343129\pi\) | |||||||
\(198\) | 7.27195 | + | 2.36280i | 0.516795 | + | 0.167917i | ||||
\(199\) | −10.4065 | −0.737695 | −0.368848 | − | 0.929490i | \(-0.620248\pi\) | ||||
−0.368848 | + | 0.929490i | \(0.620248\pi\) | |||||||
\(200\) | −1.84267 | + | 3.13068i | −0.130296 | + | 0.221373i | ||||
\(201\) | −4.80540 | −0.338947 | ||||||||
\(202\) | 5.05159 | + | 1.64136i | 0.355429 | + | 0.115486i | ||||
\(203\) | 3.14075 | − | 4.32287i | 0.220438 | − | 0.303406i | ||||
\(204\) | −12.0902 | − | 8.78402i | −0.846481 | − | 0.615005i | ||||
\(205\) | −18.6255 | − | 5.07446i | −1.30086 | − | 0.354415i | ||||
\(206\) | 17.1494 | − | 12.4598i | 1.19485 | − | 0.868113i | ||||
\(207\) | − | 8.34114i | − | 0.579749i | ||||||
\(208\) | 6.31018 | + | 8.68522i | 0.437532 | + | 0.602212i | ||||
\(209\) | 1.59730 | + | 4.91598i | 0.110487 | + | 0.340045i | ||||
\(210\) | 10.1615 | − | 0.489840i | 0.701209 | − | 0.0338022i | ||||
\(211\) | −2.67537 | + | 8.23395i | −0.184180 | + | 0.566848i | −0.999933 | − | 0.0115520i | \(-0.996323\pi\) |
0.815753 | + | 0.578400i | \(0.196323\pi\) | |||||||
\(212\) | −16.8967 | + | 5.49007i | −1.16047 | + | 0.377060i | ||||
\(213\) | −20.1615 | + | 6.55086i | −1.38144 | + | 0.448858i | ||||
\(214\) | −3.10415 | + | 9.55359i | −0.212195 | + | 0.653070i | ||||
\(215\) | 8.68518 | + | 5.69212i | 0.592324 | + | 0.388199i | ||||
\(216\) | −0.575842 | − | 1.77226i | −0.0391811 | − | 0.120587i | ||||
\(217\) | −0.0796448 | − | 0.109622i | −0.00540664 | − | 0.00744160i | ||||
\(218\) | 33.9365i | 2.29847i | ||||||||
\(219\) | −1.38008 | + | 1.00269i | −0.0932573 | + | 0.0677554i | ||||
\(220\) | 0.505688 | + | 10.4902i | 0.0340935 | + | 0.707252i | ||||
\(221\) | 7.90107 | + | 5.74046i | 0.531484 | + | 0.386145i | ||||
\(222\) | −5.79117 | + | 7.97087i | −0.388678 | + | 0.534970i | ||||
\(223\) | −26.9562 | − | 8.75859i | −1.80512 | − | 0.586518i | −0.805139 | − | 0.593086i | \(-0.797909\pi\) |
−0.999978 | + | 0.00656747i | \(0.997909\pi\) | |||||||
\(224\) | −8.02652 | −0.536295 | ||||||||
\(225\) | −6.86346 | + | 6.07648i | −0.457564 | + | 0.405099i | ||||
\(226\) | −14.0904 | −0.937277 | ||||||||
\(227\) | 21.1529 | + | 6.87299i | 1.40397 | + | 0.456176i | 0.910471 | − | 0.413572i | \(-0.135719\pi\) |
0.493495 | + | 0.869749i | \(0.335719\pi\) | |||||||
\(228\) | −7.84317 | + | 10.7952i | −0.519427 | + | 0.714929i | ||||
\(229\) | 2.00280 | + | 1.45512i | 0.132348 | + | 0.0961568i | 0.651990 | − | 0.758228i | \(-0.273934\pi\) |
−0.519641 | + | 0.854384i | \(0.673934\pi\) | |||||||
\(230\) | 19.8369 | − | 7.51941i | 1.30800 | − | 0.495815i | ||||
\(231\) | 3.53019 | − | 2.56484i | 0.232270 | − | 0.168754i | ||||
\(232\) | 3.91192i | 0.256830i | ||||||||
\(233\) | 3.50088 | + | 4.81854i | 0.229350 | + | 0.315673i | 0.908146 | − | 0.418654i | \(-0.137498\pi\) |
−0.678796 | + | 0.734327i | \(0.737498\pi\) | |||||||
\(234\) | −3.98612 | − | 12.2680i | −0.260581 | − | 0.801985i | ||||
\(235\) | 7.86736 | + | 20.7548i | 0.513210 | + | 1.35389i | ||||
\(236\) | 3.56881 | − | 10.9837i | 0.232310 | − | 0.714976i | ||||
\(237\) | 33.1424 | − | 10.7686i | 2.15283 | − | 0.699496i | ||||
\(238\) | −5.69683 | + | 1.85101i | −0.369271 | + | 0.119983i | ||||
\(239\) | 2.17314 | − | 6.68823i | 0.140569 | − | 0.432626i | −0.855846 | − | 0.517231i | \(-0.826963\pi\) |
0.996415 | + | 0.0846050i | \(0.0269628\pi\) | |||||||
\(240\) | 12.1969 | − | 9.79251i | 0.787308 | − | 0.632104i | ||||
\(241\) | 0.364567 | + | 1.12202i | 0.0234838 | + | 0.0722758i | 0.962112 | − | 0.272656i | \(-0.0879021\pi\) |
−0.938628 | + | 0.344932i | \(0.887902\pi\) | |||||||
\(242\) | −8.57990 | − | 11.8092i | −0.551537 | − | 0.759125i | ||||
\(243\) | − | 16.7942i | − | 1.07735i | ||||||
\(244\) | −5.26220 | + | 3.82322i | −0.336878 | + | 0.244756i | ||||
\(245\) | −7.37276 | + | 11.2495i | −0.471029 | + | 0.718707i | ||||
\(246\) | −32.0198 | − | 23.2637i | −2.04151 | − | 1.48324i | ||||
\(247\) | 5.12561 | − | 7.05479i | 0.326135 | − | 0.448886i | ||||
\(248\) | 0.0943452 | + | 0.0306546i | 0.00599093 | + | 0.00194657i | ||||
\(249\) | −3.89375 | −0.246757 | ||||||||
\(250\) | −20.6384 | − | 10.8448i | −1.30528 | − | 0.685885i | ||||
\(251\) | 4.60867 | 0.290897 | 0.145448 | − | 0.989366i | \(-0.453538\pi\) | ||||
0.145448 | + | 0.989366i | \(0.453538\pi\) | |||||||
\(252\) | 4.06365 | + | 1.32036i | 0.255986 | + | 0.0831748i | ||||
\(253\) | 5.34841 | − | 7.36146i | 0.336252 | − | 0.462811i | ||||
\(254\) | 2.51505 | + | 1.82729i | 0.157808 | + | 0.114654i | ||||
\(255\) | 7.79981 | − | 11.9011i | 0.488443 | − | 0.745279i | ||||
\(256\) | −7.33616 | + | 5.33003i | −0.458510 | + | 0.333127i | ||||
\(257\) | − | 9.75542i | − | 0.608526i | −0.952588 | − | 0.304263i | \(-0.901590\pi\) | ||
0.952588 | − | 0.304263i | \(-0.0984102\pi\) | |||||||
\(258\) | 12.5141 | + | 17.2242i | 0.779092 | + | 1.07233i | ||||
\(259\) | 0.659062 | + | 2.02838i | 0.0409521 | + | 0.126038i | ||||
\(260\) | 13.8160 | − | 11.0924i | 0.856834 | − | 0.687924i | ||||
\(261\) | −3.05043 | + | 9.38824i | −0.188817 | + | 0.581118i | ||||
\(262\) | 27.9926 | − | 9.09534i | 1.72939 | − | 0.561912i | ||||
\(263\) | 0.947088 | − | 0.307728i | 0.0584000 | − | 0.0189753i | −0.279671 | − | 0.960096i | \(-0.590225\pi\) |
0.338071 | + | 0.941121i | \(0.390225\pi\) | |||||||
\(264\) | −0.987184 | + | 3.03824i | −0.0607570 | + | 0.186991i | ||||
\(265\) | −5.99602 | − | 15.8180i | −0.368333 | − | 0.971693i | ||||
\(266\) | 1.65275 | + | 5.08664i | 0.101337 | + | 0.311882i | ||||
\(267\) | 18.7479 | + | 25.8042i | 1.14735 | + | 1.57919i | ||||
\(268\) | − | 5.13310i | − | 0.313554i | ||||||
\(269\) | −2.66048 | + | 1.93295i | −0.162212 | + | 0.117854i | −0.665930 | − | 0.746014i | \(-0.731965\pi\) |
0.503718 | + | 0.863868i | \(0.331965\pi\) | |||||||
\(270\) | 11.1829 | − | 4.23903i | 0.680572 | − | 0.257979i | ||||
\(271\) | −9.82960 | − | 7.14162i | −0.597105 | − | 0.433823i | 0.247745 | − | 0.968825i | \(-0.420311\pi\) |
−0.844850 | + | 0.535003i | \(0.820311\pi\) | |||||||
\(272\) | −5.41332 | + | 7.45080i | −0.328231 | + | 0.451771i | ||||
\(273\) | −7.00116 | − | 2.27482i | −0.423730 | − | 0.137678i | ||||
\(274\) | −1.43769 | −0.0868543 | ||||||||
\(275\) | −9.95363 | + | 0.961876i | −0.600227 | + | 0.0580033i | ||||
\(276\) | 23.4896 | 1.41391 | ||||||||
\(277\) | −11.2858 | − | 3.66697i | −0.678096 | − | 0.220327i | −0.0503346 | − | 0.998732i | \(-0.516029\pi\) |
−0.627762 | + | 0.778406i | \(0.716029\pi\) | |||||||
\(278\) | −20.3121 | + | 27.9572i | −1.21824 | + | 1.67676i | ||||
\(279\) | 0.202516 | + | 0.147136i | 0.0121243 | + | 0.00880883i | ||||
\(280\) | 0.0776292 | + | 1.61038i | 0.00463923 | + | 0.0962386i | ||||
\(281\) | 19.9355 | − | 14.4840i | 1.18925 | − | 0.864041i | 0.196066 | − | 0.980591i | \(-0.437183\pi\) |
0.993185 | + | 0.116549i | \(0.0371833\pi\) | |||||||
\(282\) | 45.5069i | 2.70990i | ||||||||
\(283\) | −1.97697 | − | 2.72107i | −0.117519 | − | 0.161751i | 0.746205 | − | 0.665716i | \(-0.231874\pi\) |
−0.863724 | + | 0.503965i | \(0.831874\pi\) | |||||||
\(284\) | −6.99759 | − | 21.5364i | −0.415231 | − | 1.27795i | ||||
\(285\) | −10.6264 | − | 6.96438i | −0.629455 | − | 0.412534i | ||||
\(286\) | 4.34841 | − | 13.3830i | 0.257127 | − | 0.791356i | ||||
\(287\) | −8.14823 | + | 2.64752i | −0.480975 | + | 0.156278i | ||||
\(288\) | 14.1025 | − | 4.58219i | 0.830999 | − | 0.270008i | ||||
\(289\) | 2.66428 | − | 8.19982i | 0.156723 | − | 0.482342i | ||||
\(290\) | −25.0770 | + | 1.20885i | −1.47257 | + | 0.0709861i | ||||
\(291\) | 11.5691 | + | 35.6060i | 0.678192 | + | 2.08726i | ||||
\(292\) | −1.07106 | − | 1.47419i | −0.0626793 | − | 0.0862707i | ||||
\(293\) | 8.96340i | 0.523647i | 0.965116 | + | 0.261824i | \(0.0843239\pi\) | ||||
−0.965116 | + | 0.261824i | \(0.915676\pi\) | |||||||
\(294\) | −22.3097 | + | 16.2090i | −1.30113 | + | 0.945326i | ||||
\(295\) | 10.6097 | + | 2.89058i | 0.617721 | + | 0.168296i | ||||
\(296\) | −1.26321 | − | 0.917777i | −0.0734227 | − | 0.0533447i | ||||
\(297\) | 3.01515 | − | 4.14999i | 0.174956 | − | 0.240807i | ||||
\(298\) | 6.36925 | + | 2.06949i | 0.368961 | + | 0.119883i | ||||
\(299\) | −15.3507 | −0.887756 | ||||||||
\(300\) | −17.1121 | − | 19.3283i | −0.987966 | − | 1.11592i | ||||
\(301\) | 4.60867 | 0.265640 | ||||||||
\(302\) | −35.0760 | − | 11.3969i | −2.01840 | − | 0.655817i | ||||
\(303\) | −3.29155 | + | 4.53042i | −0.189094 | + | 0.260266i | ||||
\(304\) | 6.65275 | + | 4.83351i | 0.381561 | + | 0.277221i | ||||
\(305\) | −3.87735 | − | 4.82937i | −0.222016 | − | 0.276529i | ||||
\(306\) | 8.95256 | − | 6.50442i | 0.511784 | − | 0.371833i | ||||
\(307\) | 9.48133i | 0.541128i | 0.962702 | + | 0.270564i | \(0.0872102\pi\) | ||||
−0.962702 | + | 0.270564i | \(0.912790\pi\) | |||||||
\(308\) | 2.73974 | + | 3.77093i | 0.156111 | + | 0.214869i | ||||
\(309\) | 6.90610 | + | 21.2548i | 0.392874 | + | 1.20914i | ||||
\(310\) | −0.167354 | + | 0.614264i | −0.00950508 | + | 0.0348878i | ||||
\(311\) | 9.06409 | − | 27.8964i | 0.513978 | − | 1.58186i | −0.271157 | − | 0.962535i | \(-0.587406\pi\) |
0.785135 | − | 0.619325i | \(-0.212594\pi\) | |||||||
\(312\) | 5.12561 | − | 1.66541i | 0.290180 | − | 0.0942853i | ||||
\(313\) | 17.9655 | − | 5.83735i | 1.01547 | − | 0.329947i | 0.246440 | − | 0.969158i | \(-0.420739\pi\) |
0.769031 | + | 0.639212i | \(0.220739\pi\) | |||||||
\(314\) | 1.06654 | − | 3.28248i | 0.0601884 | − | 0.185241i | ||||
\(315\) | −1.06943 | + | 3.92529i | −0.0602558 | + | 0.221165i | ||||
\(316\) | 11.5030 | + | 35.4024i | 0.647092 | + | 1.99154i | ||||
\(317\) | −13.3952 | − | 18.4369i | −0.752351 | − | 1.03552i | −0.997812 | − | 0.0661157i | \(-0.978939\pi\) |
0.245461 | − | 0.969406i | \(-0.421061\pi\) | |||||||
\(318\) | − | 34.6826i | − | 1.94490i | ||||||
\(319\) | −8.71197 | + | 6.32962i | −0.487777 | + | 0.354391i | ||||
\(320\) | 14.7021 | + | 18.3121i | 0.821875 | + | 1.02367i | ||||
\(321\) | −8.56796 | − | 6.22499i | −0.478217 | − | 0.347445i | ||||
\(322\) | 5.53409 | − | 7.61703i | 0.308403 | − | 0.424480i | ||||
\(323\) | 7.11468 | + | 2.31170i | 0.395871 | + | 0.128626i | ||||
\(324\) | 26.1587 | 1.45326 | ||||||||
\(325\) | 11.1829 | + | 12.6313i | 0.620318 | + | 0.700657i | ||||
\(326\) | −1.86202 | −0.103128 | ||||||||
\(327\) | −34.0277 | − | 11.0563i | −1.88174 | − | 0.611414i | ||||
\(328\) | 3.68681 | − | 5.07446i | 0.203570 | − | 0.280190i | ||||
\(329\) | 7.96950 | + | 5.79018i | 0.439373 | + | 0.319223i | ||||
\(330\) | −19.7814 | − | 5.38938i | −1.08893 | − | 0.296676i | ||||
\(331\) | −2.39711 | + | 1.74160i | −0.131757 | + | 0.0957272i | −0.651712 | − | 0.758467i | \(-0.725949\pi\) |
0.519955 | + | 0.854194i | \(0.325949\pi\) | |||||||
\(332\) | − | 4.15928i | − | 0.228270i | ||||||
\(333\) | −2.31593 | − | 3.18760i | −0.126912 | − | 0.174680i | ||||
\(334\) | 3.34797 | + | 10.3040i | 0.183193 | + | 0.563809i | ||||
\(335\) | 4.88187 | − | 0.235333i | 0.266725 | − | 0.0128576i | ||||
\(336\) | 2.14518 | − | 6.60218i | 0.117029 | − | 0.360178i | ||||
\(337\) | 17.8916 | − | 5.81332i | 0.974615 | − | 0.316672i | 0.221937 | − | 0.975061i | \(-0.428762\pi\) |
0.752678 | + | 0.658389i | \(0.228762\pi\) | |||||||
\(338\) | 3.20430 | − | 1.04114i | 0.174291 | − | 0.0566306i | ||||
\(339\) | 4.59054 | − | 14.1282i | 0.249324 | − | 0.767340i | ||||
\(340\) | 12.7127 | + | 8.33171i | 0.689444 | + | 0.451850i | ||||
\(341\) | 0.0843849 | + | 0.259710i | 0.00456970 | + | 0.0140641i | ||||
\(342\) | −5.80773 | − | 7.99366i | −0.314046 | − | 0.432248i | ||||
\(343\) | 12.9162i | 0.697410i | ||||||||
\(344\) | −2.72966 | + | 1.98321i | −0.147173 | + | 0.106928i | ||||
\(345\) | 1.07691 | + | 22.3399i | 0.0579788 | + | 1.20274i | ||||
\(346\) | −9.72514 | − | 7.06573i | −0.522827 | − | 0.379856i | ||||
\(347\) | −13.3652 | + | 18.3956i | −0.717480 | + | 0.987526i | 0.282124 | + | 0.959378i | \(0.408961\pi\) |
−0.999604 | + | 0.0281483i | \(0.991039\pi\) | |||||||
\(348\) | −26.4384 | − | 8.59035i | −1.41725 | − | 0.460491i | ||||
\(349\) | −1.93849 | −0.103765 | −0.0518824 | − | 0.998653i | \(-0.516522\pi\) | ||||
−0.0518824 | + | 0.998653i | \(0.516522\pi\) | |||||||
\(350\) | −10.2992 | + | 0.995269i | −0.550515 | + | 0.0531994i | ||||
\(351\) | −8.65392 | −0.461912 | ||||||||
\(352\) | 15.3843 | + | 4.99866i | 0.819986 | + | 0.266430i | ||||
\(353\) | −3.08555 | + | 4.24689i | −0.164227 | + | 0.226039i | −0.883197 | − | 0.469002i | \(-0.844614\pi\) |
0.718970 | + | 0.695041i | \(0.244614\pi\) | |||||||
\(354\) | 18.2396 | + | 13.2518i | 0.969422 | + | 0.704326i | ||||
\(355\) | 20.1615 | − | 7.64246i | 1.07006 | − | 0.405620i | ||||
\(356\) | −27.5639 | + | 20.0263i | −1.46088 | + | 1.06139i | ||||
\(357\) | − | 6.31519i | − | 0.334235i | ||||||
\(358\) | −10.6254 | − | 14.6246i | −0.561571 | − | 0.772937i | ||||
\(359\) | −6.98184 | − | 21.4879i | −0.368488 | − | 1.13409i | −0.947768 | − | 0.318960i | \(-0.896666\pi\) |
0.579281 | − | 0.815128i | \(-0.303334\pi\) | |||||||
\(360\) | −1.05573 | − | 2.78510i | −0.0556418 | − | 0.146788i | ||||
\(361\) | −3.80723 | + | 11.7174i | −0.200380 | + | 0.616708i | ||||
\(362\) | 28.3420 | − | 9.20887i | 1.48962 | − | 0.484007i | ||||
\(363\) | 14.6362 | − | 4.75560i | 0.768203 | − | 0.249604i | ||||
\(364\) | 2.42994 | − | 7.47860i | 0.127364 | − | 0.391985i | ||||
\(365\) | 1.35294 | − | 1.08623i | 0.0708160 | − | 0.0568558i | ||||
\(366\) | −3.92381 | − | 12.0762i | −0.205101 | − | 0.631236i | ||||
\(367\) | 4.29008 | + | 5.90479i | 0.223940 | + | 0.308228i | 0.906173 | − | 0.422908i | \(-0.138991\pi\) |
−0.682232 | + | 0.731136i | \(0.738991\pi\) | |||||||
\(368\) | − | 14.4759i | − | 0.754610i | ||||||
\(369\) | 12.8049 | − | 9.30333i | 0.666598 | − | 0.484312i | ||||
\(370\) | 5.49297 | − | 8.38131i | 0.285566 | − | 0.435723i | ||||
\(371\) | −6.07386 | − | 4.41292i | −0.315339 | − | 0.229107i | ||||
\(372\) | −0.414353 | + | 0.570308i | −0.0214832 | + | 0.0295691i | ||||
\(373\) | 21.2156 | + | 6.89335i | 1.09850 | + | 0.356924i | 0.801525 | − | 0.597961i | \(-0.204022\pi\) |
0.296975 | + | 0.954885i | \(0.404022\pi\) | |||||||
\(374\) | 12.0718 | 0.624216 | ||||||||
\(375\) | 17.5978 | − | 17.1607i | 0.908746 | − | 0.886173i | ||||
\(376\) | −7.21188 | −0.371924 | ||||||||
\(377\) | 17.2778 | + | 5.61390i | 0.889852 | + | 0.289130i | ||||
\(378\) | 3.11982 | − | 4.29407i | 0.160466 | − | 0.220863i | ||||
\(379\) | −26.6544 | − | 19.3655i | −1.36914 | − | 0.994740i | −0.997804 | − | 0.0662429i | \(-0.978899\pi\) |
−0.371339 | − | 0.928497i | \(-0.621101\pi\) | |||||||
\(380\) | 7.43930 | − | 11.3511i | 0.381628 | − | 0.582298i | ||||
\(381\) | −2.65159 | + | 1.92649i | −0.135845 | + | 0.0986971i | ||||
\(382\) | 2.64072i | 0.135111i | ||||||||
\(383\) | −12.1673 | − | 16.7468i | −0.621719 | − | 0.855722i | 0.375758 | − | 0.926718i | \(-0.377382\pi\) |
−0.997477 | + | 0.0709955i | \(0.977382\pi\) | |||||||
\(384\) | 3.88882 | + | 11.9686i | 0.198450 | + | 0.610768i | ||||
\(385\) | −3.46076 | + | 2.77853i | −0.176377 | + | 0.141607i | ||||
\(386\) | −13.6436 | + | 41.9907i | −0.694441 | + | 2.13727i | ||||
\(387\) | −8.09739 | + | 2.63100i | −0.411614 | + | 0.133741i | ||||
\(388\) | −38.0341 | + | 12.3580i | −1.93089 | + | 0.627383i | ||||
\(389\) | 0.353657 | − | 1.08844i | 0.0179311 | − | 0.0551863i | −0.941691 | − | 0.336480i | \(-0.890764\pi\) |
0.959622 | + | 0.281294i | \(0.0907635\pi\) | |||||||
\(390\) | 12.2599 | + | 32.3426i | 0.620802 | + | 1.63773i | ||||
\(391\) | −4.06943 | − | 12.5244i | −0.205800 | − | 0.633388i | ||||
\(392\) | −2.56877 | − | 3.53561i | −0.129743 | − | 0.178575i | ||||
\(393\) | 31.0310i | 1.56531i | ||||||||
\(394\) | 20.5840 | − | 14.9552i | 1.03701 | − | 0.753430i | ||||
\(395\) | −33.1424 | + | 12.5630i | −1.66757 | + | 0.632114i | ||||
\(396\) | −6.96645 | − | 5.06142i | −0.350077 | − | 0.254346i | ||||
\(397\) | −2.75385 | + | 3.79035i | −0.138212 | + | 0.190232i | −0.872512 | − | 0.488593i | \(-0.837510\pi\) |
0.734300 | + | 0.678825i | \(0.237510\pi\) | |||||||
\(398\) | 20.6384 | + | 6.70581i | 1.03451 | + | 0.336132i | ||||
\(399\) | −5.63877 | −0.282292 | ||||||||
\(400\) | −11.9114 | + | 10.5456i | −0.595572 | + | 0.527282i | ||||
\(401\) | −24.0851 | −1.20275 | −0.601376 | − | 0.798966i | \(-0.705381\pi\) | ||||
−0.601376 | + | 0.798966i | \(0.705381\pi\) | |||||||
\(402\) | 9.53019 | + | 3.09655i | 0.475323 | + | 0.154442i | ||||
\(403\) | 0.270785 | − | 0.372703i | 0.0134888 | − | 0.0185657i | ||||
\(404\) | −4.83937 | − | 3.51601i | −0.240768 | − | 0.174928i | ||||
\(405\) | 1.19928 | + | 24.8784i | 0.0595925 | + | 1.23622i | ||||
\(406\) | −9.01443 | + | 6.54936i | −0.447378 | + | 0.325039i | ||||
\(407\) | − | 4.29821i | − | 0.213054i | ||||||
\(408\) | 2.71756 | + | 3.74041i | 0.134539 | + | 0.185178i | ||||
\(409\) | 0.586930 | + | 1.80638i | 0.0290218 | + | 0.0893199i | 0.964518 | − | 0.264016i | \(-0.0850472\pi\) |
−0.935496 | + | 0.353336i | \(0.885047\pi\) | |||||||
\(410\) | 33.6686 | + | 22.0658i | 1.66277 | + | 1.08975i | ||||
\(411\) | 0.468391 | − | 1.44156i | 0.0231040 | − | 0.0711068i | ||||
\(412\) | −22.7042 | + | 7.37705i | −1.11856 | + | 0.363441i | ||||
\(413\) | 4.64151 | − | 1.50812i | 0.228394 | − | 0.0742096i | ||||
\(414\) | −5.37494 | + | 16.5423i | −0.264164 | + | 0.813012i | ||||
\(415\) | 3.95571 | − | 0.190687i | 0.194178 | − | 0.00936047i | ||||
\(416\) | −8.43290 | − | 25.9538i | −0.413457 | − | 1.27249i | ||||
\(417\) | −21.4148 | − | 29.4750i | −1.04869 | − | 1.44340i | ||||
\(418\) | − | 10.7788i | − | 0.527207i | ||||||
\(419\) | −1.88344 | + | 1.36840i | −0.0920120 | + | 0.0668507i | −0.632840 | − | 0.774283i | \(-0.718111\pi\) |
0.540828 | + | 0.841133i | \(0.318111\pi\) | |||||||
\(420\) | −11.0541 | − | 3.01165i | −0.539384 | − | 0.146953i | ||||
\(421\) | 19.3760 | + | 14.0775i | 0.944329 | + | 0.686095i | 0.949459 | − | 0.313892i | \(-0.101633\pi\) |
−0.00513010 | + | 0.999987i | \(0.501633\pi\) | |||||||
\(422\) | 10.6117 | − | 14.6058i | 0.516571 | − | 0.710998i | ||||
\(423\) | −17.3078 | − | 5.62366i | −0.841536 | − | 0.273431i | ||||
\(424\) | 5.49645 | 0.266931 | ||||||||
\(425\) | −7.34110 | + | 12.4725i | −0.356095 | + | 0.605005i | ||||
\(426\) | 44.2060 | 2.14179 | ||||||||
\(427\) | −2.61413 | − | 0.849384i | −0.126507 | − | 0.0411045i | ||||
\(428\) | 6.64949 | − | 9.15224i | 0.321415 | − | 0.442390i | ||||
\(429\) | 12.0023 | + | 8.72020i | 0.579478 | + | 0.421015i | ||||
\(430\) | −13.5567 | − | 16.8854i | −0.653763 | − | 0.814285i | ||||
\(431\) | −0.964563 | + | 0.700796i | −0.0464614 | + | 0.0337562i | −0.610774 | − | 0.791805i | \(-0.709141\pi\) |
0.564312 | + | 0.825561i | \(0.309141\pi\) | |||||||
\(432\) | − | 8.16074i | − | 0.392634i | ||||||
\(433\) | 15.0554 | + | 20.7220i | 0.723518 | + | 0.995837i | 0.999400 | + | 0.0346454i | \(0.0110302\pi\) |
−0.275882 | + | 0.961192i | \(0.588970\pi\) | |||||||
\(434\) | 0.0873145 | + | 0.268726i | 0.00419123 | + | 0.0128993i | ||||
\(435\) | 6.95781 | − | 25.5382i | 0.333601 | − | 1.22446i | ||||
\(436\) | 11.8102 | − | 36.3482i | 0.565608 | − | 1.74076i | ||||
\(437\) | −11.1829 | + | 3.63356i | −0.534953 | + | 0.173817i | ||||
\(438\) | 3.38313 | − | 1.09925i | 0.161652 | − | 0.0525240i | ||||
\(439\) | −5.98693 | + | 18.4259i | −0.285741 | + | 0.879420i | 0.700435 | + | 0.713716i | \(0.252989\pi\) |
−0.986176 | + | 0.165703i | \(0.947011\pi\) | |||||||
\(440\) | 0.854102 | − | 3.13493i | 0.0407177 | − | 0.149452i | ||||
\(441\) | −3.40783 | − | 10.4882i | −0.162277 | − | 0.499439i | ||||
\(442\) | −11.9705 | − | 16.4760i | −0.569379 | − | 0.783683i | ||||
\(443\) | 2.46263i | 0.117003i | 0.998287 | + | 0.0585016i | \(0.0186323\pi\) | ||||
−0.998287 | + | 0.0585016i | \(0.981368\pi\) | |||||||
\(444\) | 8.97666 | − | 6.52192i | 0.426013 | − | 0.309517i | ||||
\(445\) | −20.3099 | − | 25.2967i | −0.962780 | − | 1.19918i | ||||
\(446\) | 47.8162 | + | 34.7405i | 2.26416 | + | 1.64501i | ||||
\(447\) | −4.15011 | + | 5.71214i | −0.196294 | + | 0.270175i | ||||
\(448\) | 9.91229 | + | 3.22070i | 0.468312 | + | 0.152164i | ||||
\(449\) | 14.3585 | 0.677618 | 0.338809 | − | 0.940855i | \(-0.389976\pi\) | ||||
0.338809 | + | 0.940855i | \(0.389976\pi\) | |||||||
\(450\) | 17.5274 | − | 7.62829i | 0.826249 | − | 0.359601i | ||||
\(451\) | 17.2664 | 0.813041 | ||||||||
\(452\) | 15.0917 | + | 4.90359i | 0.709853 | + | 0.230645i | ||||
\(453\) | 22.8550 | − | 31.4572i | 1.07382 | − | 1.47799i | ||||
\(454\) | −37.5220 | − | 27.2614i | −1.76100 | − | 1.27944i | ||||
\(455\) | 7.22397 | + | 1.96815i | 0.338665 | + | 0.0922682i | ||||
\(456\) | 3.33977 | − | 2.42649i | 0.156399 | − | 0.113631i | ||||
\(457\) | 25.1964i | 1.17864i | 0.807901 | + | 0.589319i | \(0.200604\pi\) | ||||
−0.807901 | + | 0.589319i | \(0.799396\pi\) | |||||||
\(458\) | −3.03433 | − | 4.17640i | −0.141785 | − | 0.195150i | ||||
\(459\) | −2.29413 | − | 7.06059i | −0.107081 | − | 0.329560i | ||||
\(460\) | −23.8634 | + | 1.15035i | −1.11264 | + | 0.0536352i | ||||
\(461\) | 8.90758 | − | 27.4147i | 0.414867 | − | 1.27683i | −0.497502 | − | 0.867463i | \(-0.665749\pi\) |
0.912370 | − | 0.409367i | \(-0.134251\pi\) | |||||||
\(462\) | −8.65392 | + | 2.81183i | −0.402617 | + | 0.130818i | ||||
\(463\) | −30.3193 | + | 9.85134i | −1.40906 | + | 0.457831i | −0.912108 | − | 0.409949i | \(-0.865547\pi\) |
−0.496949 | + | 0.867780i | \(0.665547\pi\) | |||||||
\(464\) | −5.29397 | + | 16.2932i | −0.245766 | + | 0.756391i | ||||
\(465\) | −0.561392 | − | 0.367927i | −0.0260339 | − | 0.0170622i | ||||
\(466\) | −3.83801 | − | 11.8122i | −0.177792 | − | 0.547189i | ||||
\(467\) | 25.3333 | + | 34.8683i | 1.17229 | + | 1.61351i | 0.646580 | + | 0.762847i | \(0.276199\pi\) |
0.525706 | + | 0.850666i | \(0.323801\pi\) | |||||||
\(468\) | 14.5270i | 0.671512i | ||||||||
\(469\) | 1.75489 | − | 1.27500i | 0.0810331 | − | 0.0588740i | ||||
\(470\) | −2.22859 | − | 46.2310i | −0.102797 | − | 2.13248i | ||||
\(471\) | 2.94383 | + | 2.13882i | 0.135644 | + | 0.0985514i | ||||
\(472\) | −2.10013 | + | 2.89058i | −0.0966663 | + | 0.133050i | ||||
\(473\) | −8.83337 | − | 2.87013i | −0.406159 | − | 0.131969i | ||||
\(474\) | −72.6679 | −3.33775 | ||||||||
\(475\) | 11.1366 | + | 6.55479i | 0.510981 | + | 0.300755i | ||||
\(476\) | 6.74584 | 0.309195 | ||||||||
\(477\) | 13.1910 | + | 4.28600i | 0.603973 | + | 0.196243i | ||||
\(478\) | −8.61964 | + | 11.8639i | −0.394253 | + | 0.542643i | ||||
\(479\) | 17.0107 | + | 12.3590i | 0.777237 | + | 0.564696i | 0.904148 | − | 0.427218i | \(-0.140506\pi\) |
−0.126912 | + | 0.991914i | \(0.540506\pi\) | |||||||
\(480\) | −37.1790 | + | 14.0931i | −1.69698 | + | 0.643261i | ||||
\(481\) | −5.86635 | + | 4.26216i | −0.267483 | + | 0.194338i | ||||
\(482\) | − | 2.46014i | − | 0.112057i | ||||||
\(483\) | 5.83453 | + | 8.03054i | 0.265480 | + | 0.365402i | ||||
\(484\) | 5.07990 | + | 15.6343i | 0.230904 | + | 0.710651i | ||||
\(485\) | −13.4969 | − | 35.6060i | −0.612862 | − | 1.61678i | ||||
\(486\) | −10.8220 | + | 33.3067i | −0.490895 | + | 1.51082i | ||||
\(487\) | −26.5525 | + | 8.62744i | −1.20321 | + | 0.390947i | −0.840941 | − | 0.541127i | \(-0.817998\pi\) |
−0.362269 | + | 0.932073i | \(0.617998\pi\) | |||||||
\(488\) | 1.91383 | − | 0.621840i | 0.0866349 | − | 0.0281494i | ||||
\(489\) | 0.606634 | − | 1.86703i | 0.0274329 | − | 0.0844299i | ||||
\(490\) | 21.8709 | − | 17.5594i | 0.988027 | − | 0.793255i | ||||
\(491\) | 4.62322 | + | 14.2288i | 0.208643 | + | 0.642137i | 0.999544 | + | 0.0301930i | \(0.00961220\pi\) |
−0.790901 | + | 0.611944i | \(0.790388\pi\) | |||||||
\(492\) | 26.1993 | + | 36.0602i | 1.18115 | + | 1.62572i | ||||
\(493\) | 15.5849i | 0.701909i | ||||||||
\(494\) | −14.7113 | + | 10.6884i | −0.661891 | + | 0.480892i | ||||
\(495\) | 4.49431 | − | 6.85753i | 0.202004 | − | 0.308223i | ||||
\(496\) | 0.351464 | + | 0.255353i | 0.0157812 | + | 0.0114657i | ||||
\(497\) | 5.62466 | − | 7.74168i | 0.252300 | − | 0.347262i | ||||
\(498\) | 7.72218 | + | 2.50909i | 0.346039 | + | 0.112435i | ||||
\(499\) | 44.3253 | 1.98427 | 0.992137 | − | 0.125160i | \(-0.0399443\pi\) | ||||
0.992137 | + | 0.125160i | \(0.0399443\pi\) | |||||||
\(500\) | 18.3309 | + | 18.7978i | 0.819784 | + | 0.840665i | ||||
\(501\) | −11.4224 | −0.510316 | ||||||||
\(502\) | −9.14003 | − | 2.96978i | −0.407940 | − | 0.132548i | ||||
\(503\) | 13.8842 | − | 19.1100i | 0.619066 | − | 0.852071i | −0.378219 | − | 0.925716i | \(-0.623463\pi\) |
0.997284 | + | 0.0736453i | \(0.0234633\pi\) | |||||||
\(504\) | −1.06943 | − | 0.776989i | −0.0476364 | − | 0.0346098i | ||||
\(505\) | 3.12205 | − | 4.76371i | 0.138930 | − | 0.211982i | ||||
\(506\) | −15.3507 | + | 11.1530i | −0.682424 | + | 0.495810i | ||||
\(507\) | 3.55211i | 0.157755i | ||||||||
\(508\) | −2.05786 | − | 2.83241i | −0.0913029 | − | 0.125668i | ||||
\(509\) | 8.25552 | + | 25.4079i | 0.365920 | + | 1.12618i | 0.949403 | + | 0.314060i | \(0.101689\pi\) |
−0.583484 | + | 0.812125i | \(0.698311\pi\) | |||||||
\(510\) | −23.1377 | + | 18.5765i | −1.02456 | + | 0.822583i | ||||
\(511\) | 0.237953 | − | 0.732343i | 0.0105264 | − | 0.0323970i | ||||
\(512\) | 28.8718 | − | 9.38103i | 1.27597 | − | 0.414587i | ||||
\(513\) | −6.30434 | + | 2.04840i | −0.278343 | + | 0.0904392i | ||||
\(514\) | −6.28628 | + | 19.3472i | −0.277276 | + | 0.853367i | ||||
\(515\) | −8.05689 | − | 21.2548i | −0.355029 | − | 0.936598i | ||||
\(516\) | −7.40921 | − | 22.8032i | −0.326172 | − | 1.00385i | ||||
\(517\) | −11.6691 | − | 16.0611i | −0.513205 | − | 0.706366i | ||||
\(518\) | − | 4.44743i | − | 0.195409i | ||||||
\(519\) | 10.2531 | − | 7.44931i | 0.450061 | − | 0.326988i | ||||
\(520\) | −5.12561 | + | 1.94293i | −0.224773 | + | 0.0852029i | ||||
\(521\) | −26.4607 | − | 19.2249i | −1.15927 | − | 0.842256i | −0.169581 | − | 0.985516i | \(-0.554241\pi\) |
−0.989685 | + | 0.143260i | \(0.954241\pi\) | |||||||
\(522\) | 12.0994 | − | 16.6533i | 0.529574 | − | 0.728896i | ||||
\(523\) | −0.224417 | − | 0.0729175i | −0.00981307 | − | 0.00318846i | 0.304106 | − | 0.952638i | \(-0.401642\pi\) |
−0.313919 | + | 0.949450i | \(0.601642\pi\) | |||||||
\(524\) | −33.1471 | −1.44804 | ||||||||
\(525\) | 2.35746 | − | 10.6511i | 0.102888 | − | 0.464853i | ||||
\(526\) | −2.07658 | −0.0905434 | ||||||||
\(527\) | 0.375867 | + | 0.122127i | 0.0163730 | + | 0.00531992i | ||||
\(528\) | −8.22325 | + | 11.3183i | −0.357871 | + | 0.492567i | ||||
\(529\) | −1.86142 | − | 1.35240i | −0.0809313 | − | 0.0588001i | ||||
\(530\) | 1.69850 | + | 35.2344i | 0.0737779 | + | 1.53049i | ||||
\(531\) | −7.29413 | + | 5.29949i | −0.316538 | + | 0.229978i | ||||
\(532\) | − | 6.02330i | − | 0.261143i | ||||||
\(533\) | −17.1215 | − | 23.5658i | −0.741616 | − | 1.02075i | ||||
\(534\) | −20.5533 | − | 63.2564i | −0.889427 | − | 2.73737i | ||||
\(535\) | 9.00915 | + | 5.90445i | 0.389499 | + | 0.255271i | ||||
\(536\) | −0.490737 | + | 1.51033i | −0.0211966 | + | 0.0652364i | ||||
\(537\) | 18.1256 | − | 5.88938i | 0.782179 | − | 0.254145i | ||||
\(538\) | 6.52190 | − | 2.11909i | 0.281179 | − | 0.0913606i | ||||
\(539\) | 3.71756 | − | 11.4415i | 0.160127 | − | 0.492820i | ||||
\(540\) | −13.4529 | + | 0.648503i | −0.578920 | + | 0.0279071i | ||||
\(541\) | −10.3698 | − | 31.9148i | −0.445830 | − | 1.37213i | −0.881570 | − | 0.472053i | \(-0.843513\pi\) |
0.435740 | − | 0.900073i | \(-0.356487\pi\) | |||||||
\(542\) | 14.8923 | + | 20.4975i | 0.639680 | + | 0.880443i | ||||
\(543\) | 31.4183i | 1.34829i | ||||||||
\(544\) | 18.9397 | − | 13.7605i | 0.812035 | − | 0.589978i | ||||
\(545\) | 35.1106 | + | 9.56578i | 1.50397 | + | 0.409753i | ||||
\(546\) | 12.4190 | + | 9.02294i | 0.531485 | + | 0.386146i | ||||
\(547\) | 22.6371 | − | 31.1573i | 0.967892 | − | 1.33219i | 0.0247869 | − | 0.999693i | \(-0.492109\pi\) |
0.943105 | − | 0.332496i | \(-0.107891\pi\) | |||||||
\(548\) | 1.53986 | + | 0.500332i | 0.0657797 | + | 0.0213731i | ||||
\(549\) | 5.07790 | 0.216720 | ||||||||
\(550\) | 20.3601 | + | 4.50639i | 0.868158 | + | 0.192153i | ||||
\(551\) | 13.9156 | 0.592825 | ||||||||
\(552\) | −6.91144 | − | 2.24566i | −0.294170 | − | 0.0955818i | ||||
\(553\) | −9.24607 | + | 12.7261i | −0.393183 | + | 0.541170i | ||||
\(554\) | 20.0193 | + | 14.5448i | 0.850537 | + | 0.617951i | ||||
\(555\) | 6.61426 | + | 8.23830i | 0.280760 | + | 0.349697i | ||||
\(556\) | 31.4850 | − | 22.8752i | 1.33526 | − | 0.970124i | ||||
\(557\) | 4.33445i | 0.183657i | 0.995775 | + | 0.0918283i | \(0.0292711\pi\) | ||||
−0.995775 | + | 0.0918283i | \(0.970729\pi\) | |||||||
\(558\) | −0.306821 | − | 0.422304i | −0.0129888 | − | 0.0178775i | ||||
\(559\) | 4.84201 | + | 14.9022i | 0.204795 | + | 0.630294i | ||||
\(560\) | −1.85599 | + | 6.81229i | −0.0784298 | + | 0.287872i | ||||
\(561\) | −3.93290 | + | 12.1042i | −0.166047 | + | 0.511040i | ||||
\(562\) | −48.8698 | + | 15.8788i | −2.06145 | + | 0.669805i | ||||
\(563\) | −33.1936 | + | 10.7853i | −1.39894 | + | 0.454544i | −0.908849 | − | 0.417125i | \(-0.863038\pi\) |
−0.490094 | + | 0.871669i | \(0.663038\pi\) | |||||||
\(564\) | 15.8369 | − | 48.7408i | 0.666852 | − | 2.05236i | ||||
\(565\) | −3.97169 | + | 14.5779i | −0.167090 | + | 0.613295i | ||||
\(566\) | 2.16735 | + | 6.67043i | 0.0911007 | + | 0.280379i | ||||
\(567\) | 6.49749 | + | 8.94303i | 0.272869 | + | 0.375572i | ||||
\(568\) | 7.00572i | 0.293953i | ||||||||
\(569\) | −33.9501 | + | 24.6662i | −1.42326 | + | 1.03406i | −0.432038 | + | 0.901855i | \(0.642205\pi\) |
−0.991223 | + | 0.132204i | \(0.957795\pi\) | |||||||
\(570\) | 16.5868 | + | 20.6595i | 0.694745 | + | 0.865330i | ||||
\(571\) | 11.1913 | + | 8.13093i | 0.468340 | + | 0.340269i | 0.796794 | − | 0.604251i | \(-0.206528\pi\) |
−0.328454 | + | 0.944520i | \(0.606528\pi\) | |||||||
\(572\) | −9.31486 | + | 12.8208i | −0.389474 | + | 0.536065i | ||||
\(573\) | −2.64782 | − | 0.860328i | −0.110614 | − | 0.0359407i | ||||
\(574\) | 17.8658 | 0.745704 | ||||||||
\(575\) | −2.18809 | − | 22.6427i | −0.0912497 | − | 0.944265i | ||||
\(576\) | −19.2544 | −0.802268 | ||||||||
\(577\) | 12.1538 | + | 3.94902i | 0.505970 | + | 0.164400i | 0.550869 | − | 0.834592i | \(-0.314296\pi\) |
−0.0448986 | + | 0.998992i | \(0.514296\pi\) | |||||||
\(578\) | −10.5677 | + | 14.5453i | −0.439560 | + | 0.605003i | ||||
\(579\) | −37.6586 | − | 27.3606i | −1.56504 | − | 1.13707i | ||||
\(580\) | 27.2798 | + | 7.43228i | 1.13273 | + | 0.308609i | ||||
\(581\) | 1.42196 | − | 1.03311i | 0.0589928 | − | 0.0428608i | ||||
\(582\) | − | 78.0696i | − | 3.23609i | ||||||
\(583\) | 8.89344 | + | 12.2408i | 0.368329 | + | 0.506961i | ||||
\(584\) | 0.174207 | + | 0.536154i | 0.00720874 | + | 0.0221862i | ||||
\(585\) | −13.8160 | + | 0.666009i | −0.571222 | + | 0.0275361i | ||||
\(586\) | 5.77591 | − | 17.7764i | 0.238601 | − | 0.734337i | ||||
\(587\) | −11.5905 | + | 3.76597i | −0.478390 | + | 0.155438i | −0.538279 | − | 0.842767i | \(-0.680925\pi\) |
0.0598889 | + | 0.998205i | \(0.480925\pi\) | |||||||
\(588\) | 29.5360 | − | 9.59683i | 1.21804 | − | 0.395767i | ||||
\(589\) | 0.109046 | − | 0.335608i | 0.00449315 | − | 0.0138285i | ||||
\(590\) | −19.1788 | − | 12.5694i | −0.789577 | − | 0.517476i | ||||
\(591\) | 8.28923 | + | 25.5116i | 0.340973 | + | 1.04941i | ||||
\(592\) | −4.01926 | − | 5.53204i | −0.165191 | − | 0.227365i | ||||
\(593\) | − | 31.2580i | − | 1.28361i | −0.766866 | − | 0.641807i | \(-0.778185\pi\) | ||
0.766866 | − | 0.641807i | \(-0.221815\pi\) | |||||||
\(594\) | −8.65392 | + | 6.28744i | −0.355074 | + | 0.257977i | ||||
\(595\) | 0.309271 | + | 6.41567i | 0.0126789 | + | 0.263017i | ||||
\(596\) | −6.10167 | − | 4.43312i | −0.249934 | − | 0.181588i | ||||
\(597\) | −13.4477 | + | 18.5091i | −0.550376 | + | 0.757528i | ||||
\(598\) | 30.4440 | + | 9.89184i | 1.24495 | + | 0.404508i | ||||
\(599\) | 33.3707 | 1.36349 | 0.681746 | − | 0.731589i | \(-0.261221\pi\) | ||||
0.681746 | + | 0.731589i | \(0.261221\pi\) | |||||||
\(600\) | 3.18712 | + | 7.32300i | 0.130114 | + | 0.298960i | ||||
\(601\) | −46.8052 | −1.90922 | −0.954611 | − | 0.297854i | \(-0.903729\pi\) | ||||
−0.954611 | + | 0.297854i | \(0.903729\pi\) | |||||||
\(602\) | −9.14003 | − | 2.96978i | −0.372520 | − | 0.121039i | ||||
\(603\) | −2.35544 | + | 3.24199i | −0.0959211 | + | 0.132024i | ||||
\(604\) | 33.6024 | + | 24.4136i | 1.36726 | + | 0.993374i | ||||
\(605\) | −14.6362 | + | 5.54805i | −0.595047 | + | 0.225560i | ||||
\(606\) | 9.44722 | − | 6.86381i | 0.383767 | − | 0.278823i | ||||
\(607\) | − | 30.7401i | − | 1.24770i | −0.781543 | − | 0.623851i | \(-0.785567\pi\) | ||
0.781543 | − | 0.623851i | \(-0.214433\pi\) | |||||||
\(608\) | −12.2867 | − | 16.9111i | −0.498289 | − | 0.685837i | ||||
\(609\) | −3.63013 | − | 11.1724i | −0.147100 | − | 0.452728i | ||||
\(610\) | 4.57765 | + | 12.0762i | 0.185344 | + | 0.488953i | ||||
\(611\) | −10.3496 | + | 31.8527i | −0.418699 | + | 1.28862i | ||||
\(612\) | −11.8524 | + | 3.85107i | −0.479104 | + | 0.155670i | ||||
\(613\) | 36.4154 | − | 11.8321i | 1.47081 | − | 0.477894i | 0.539454 | − | 0.842015i | \(-0.318631\pi\) |
0.931352 | + | 0.364121i | \(0.118631\pi\) | |||||||
\(614\) | 6.10966 | − | 18.8036i | 0.246566 | − | 0.758852i | ||||
\(615\) | −33.0941 | + | 26.5702i | −1.33448 | + | 1.07141i | ||||
\(616\) | −0.445615 | − | 1.37146i | −0.0179543 | − | 0.0552577i | ||||
\(617\) | 0.249989 | + | 0.344080i | 0.0100642 | + | 0.0138521i | 0.814019 | − | 0.580838i | \(-0.197275\pi\) |
−0.803955 | + | 0.594690i | \(0.797275\pi\) | |||||||
\(618\) | − | 46.6032i | − | 1.87466i | ||||||
\(619\) | 6.07691 | − | 4.41513i | 0.244252 | − | 0.177459i | −0.458924 | − | 0.888476i | \(-0.651765\pi\) |
0.703175 | + | 0.711016i | \(0.251765\pi\) | |||||||
\(620\) | 0.393017 | − | 0.599675i | 0.0157839 | − | 0.0240835i | ||||
\(621\) | 9.44047 | + | 6.85890i | 0.378833 | + | 0.275238i | ||||
\(622\) | −35.9523 | + | 49.4840i | −1.44155 | + | 1.98413i | ||||
\(623\) | −13.6931 | − | 4.44914i | −0.548601 | − | 0.178251i | ||||
\(624\) | 23.6020 | 0.944834 | ||||||||
\(625\) | −17.0374 | + | 18.2955i | −0.681496 | + | 0.731822i | ||||
\(626\) | −39.3912 | −1.57439 | ||||||||
\(627\) | 10.8077 | + | 3.51165i | 0.431619 | + | 0.140242i | ||||
\(628\) | −2.28467 | + | 3.14458i | −0.0911682 | + | 0.125482i | ||||
\(629\) | −5.03258 | − | 3.65638i | −0.200662 | − | 0.145789i | ||||
\(630\) | 4.65034 | − | 7.09560i | 0.185274 | − | 0.282696i | ||||
\(631\) | 9.11889 | − | 6.62526i | 0.363017 | − | 0.263747i | −0.391292 | − | 0.920266i | \(-0.627972\pi\) |
0.754309 | + | 0.656519i | \(0.227972\pi\) | |||||||
\(632\) | − | 11.5163i | − | 0.458094i | ||||||
\(633\) | 11.1878 | + | 15.3987i | 0.444676 | + | 0.612044i | ||||
\(634\) | 14.6852 | + | 45.1963i | 0.583223 | + | 1.79498i | ||||
\(635\) | 2.59943 | − | 2.08700i | 0.103155 | − | 0.0828201i | ||||
\(636\) | −12.0699 | + | 37.1473i | −0.478602 | + | 1.47298i | ||||
\(637\) | −19.3021 | + | 6.27165i | −0.764779 | + | 0.248492i | ||||
\(638\) | 21.3565 | − | 6.93916i | 0.845513 | − | 0.274724i | ||||
\(639\) | −5.46290 | + | 16.8131i | −0.216109 | + | 0.665115i | ||||
\(640\) | −4.53683 | − | 11.9686i | −0.179334 | − | 0.473099i | ||||
\(641\) | 8.05994 | + | 24.8060i | 0.318349 | + | 0.979776i | 0.974354 | + | 0.225020i | \(0.0722448\pi\) |
−0.656006 | + | 0.754756i | \(0.727755\pi\) | |||||||
\(642\) | 12.9809 | + | 17.8666i | 0.512314 | + | 0.705140i | ||||
\(643\) | − | 31.9492i | − | 1.25995i | −0.776614 | − | 0.629977i | \(-0.783064\pi\) | ||
0.776614 | − | 0.629977i | \(-0.216936\pi\) | |||||||
\(644\) | −8.57817 | + | 6.23241i | −0.338027 | + | 0.245591i | ||||
\(645\) | 21.3474 | − | 8.09201i | 0.840555 | − | 0.318623i | ||||
\(646\) | −12.6204 | − | 9.16923i | −0.496542 | − | 0.360759i | ||||
\(647\) | 4.34628 | − | 5.98214i | 0.170870 | − | 0.235182i | −0.714990 | − | 0.699134i | \(-0.753569\pi\) |
0.885860 | + | 0.463952i | \(0.153569\pi\) | |||||||
\(648\) | −7.69677 | − | 2.50083i | −0.302358 | − | 0.0982419i | ||||
\(649\) | −9.83550 | −0.386077 | ||||||||
\(650\) | −14.0388 | − | 32.2568i | −0.550648 | − | 1.26522i | ||||
\(651\) | −0.297895 | −0.0116754 | ||||||||
\(652\) | 1.99435 | + | 0.648002i | 0.0781046 | + | 0.0253777i | ||||
\(653\) | 10.9829 | − | 15.1167i | 0.429796 | − | 0.591563i | −0.538111 | − | 0.842874i | \(-0.680862\pi\) |
0.967906 | + | 0.251311i | \(0.0808618\pi\) | |||||||
\(654\) | 60.3601 | + | 43.8542i | 2.36027 | + | 1.71483i | ||||
\(655\) | −1.51967 | − | 31.5248i | −0.0593784 | − | 1.23177i | ||||
\(656\) | 22.2228 | − | 16.1458i | 0.867654 | − | 0.630388i | ||||
\(657\) | 1.42256i | 0.0554994i | ||||||||
\(658\) | −12.0742 | − | 16.6187i | −0.470700 | − | 0.647863i | ||||
\(659\) | −3.02885 | − | 9.32184i | −0.117987 | − | 0.363128i | 0.874571 | − | 0.484897i | \(-0.161143\pi\) |
−0.992558 | + | 0.121770i | \(0.961143\pi\) | |||||||
\(660\) | 19.3116 | + | 12.6565i | 0.751703 | + | 0.492654i | ||||
\(661\) | −8.70145 | + | 26.7803i | −0.338447 | + | 1.04163i | 0.626552 | + | 0.779380i | \(0.284466\pi\) |
−0.964999 | + | 0.262253i | \(0.915534\pi\) | |||||||
\(662\) | 5.87628 | − | 1.90932i | 0.228388 | − | 0.0742078i | ||||
\(663\) | 20.4202 | − | 6.63492i | 0.793054 | − | 0.257679i | ||||
\(664\) | −0.397637 | + | 1.22380i | −0.0154313 | + | 0.0474927i | ||||
\(665\) | 5.72850 | − | 0.276145i | 0.222142 | − | 0.0107085i | ||||
\(666\) | 2.53895 | + | 7.81409i | 0.0983824 | + | 0.302790i | ||||
\(667\) | −14.3987 | − | 19.8181i | −0.557521 | − | 0.767361i | ||||
\(668\) | − | 12.2014i | − | 0.472085i | ||||||
\(669\) | −50.4120 | + | 36.6265i | −1.94904 | + | 1.41606i | ||||
\(670\) | −9.83349 | − | 2.67910i | −0.379901 | − | 0.103503i | ||||
\(671\) | 4.48150 | + | 3.25600i | 0.173006 | + | 0.125696i | ||||
\(672\) | −10.3722 | + | 14.2761i | −0.400116 | + | 0.550713i | ||||
\(673\) | −37.1153 | − | 12.0595i | −1.43069 | − | 0.464859i | −0.511707 | − | 0.859160i | \(-0.670987\pi\) |
−0.918981 | + | 0.394301i | \(0.870987\pi\) | |||||||
\(674\) | −39.2290 | −1.51104 | ||||||||
\(675\) | −1.23353 | − | 12.7647i | −0.0474785 | − | 0.491314i | ||||
\(676\) | −3.79434 | −0.145936 | ||||||||
\(677\) | −4.78888 | − | 1.55600i | −0.184052 | − | 0.0598020i | 0.215541 | − | 0.976495i | \(-0.430848\pi\) |
−0.399593 | + | 0.916693i | \(0.630848\pi\) | |||||||
\(678\) | −18.2081 | + | 25.0614i | −0.699280 | + | 0.962476i | ||||
\(679\) | −13.6721 | − | 9.93337i | −0.524687 | − | 0.381208i | ||||
\(680\) | −2.94398 | − | 3.66684i | −0.112897 | − | 0.140617i | ||||
\(681\) | 39.5590 | − | 28.7413i | 1.51591 | − | 1.10137i | ||||
\(682\) | − | 0.569440i | − | 0.0218050i | ||||||
\(683\) | 17.8282 | + | 24.5384i | 0.682178 | + | 0.938937i | 0.999957 | − | 0.00922734i | \(-0.00293719\pi\) |
−0.317780 | + | 0.948165i | \(0.602937\pi\) | |||||||
\(684\) | 3.43858 | + | 10.5829i | 0.131478 | + | 0.404646i | ||||
\(685\) | −0.405247 | + | 1.48743i | −0.0154837 | + | 0.0568320i | ||||
\(686\) | 8.32306 | − | 25.6157i | 0.317776 | − | 0.978013i | ||||
\(687\) | 5.17619 | − | 1.68185i | 0.197484 | − | 0.0641664i | ||||
\(688\) | −14.0529 | + | 4.56607i | −0.535762 | + | 0.174080i | ||||
\(689\) | 7.88781 | − | 24.2762i | 0.300502 | − | 0.924849i | ||||
\(690\) | 12.2599 | − | 44.9991i | 0.466725 | − | 1.71309i | ||||
\(691\) | −6.56134 | − | 20.1937i | −0.249605 | − | 0.768205i | −0.994845 | − | 0.101409i | \(-0.967665\pi\) |
0.745240 | − | 0.666796i | \(-0.232335\pi\) | |||||||
\(692\) | 7.95730 | + | 10.9523i | 0.302491 | + | 0.416344i | ||||
\(693\) | − | 3.63886i | − | 0.138229i | ||||||
\(694\) | 38.3600 | − | 27.8702i | 1.45613 | − | 1.05794i | ||||
\(695\) | 23.1991 | + | 28.8953i | 0.879991 | + | 1.09606i | ||||
\(696\) | 6.95781 | + | 5.05514i | 0.263735 | + | 0.191615i | ||||
\(697\) | 14.6881 | − | 20.2164i | 0.556350 | − | 0.765751i | ||||
\(698\) | 3.84445 | + | 1.24914i | 0.145515 | + | 0.0472806i | ||||
\(699\) | 13.0943 | 0.495273 | ||||||||
\(700\) | 11.3775 | + | 2.51822i | 0.430028 | + | 0.0951799i | ||||
\(701\) | 32.7698 | 1.23770 | 0.618849 | − | 0.785510i | \(-0.287599\pi\) | ||||
0.618849 | + | 0.785510i | \(0.287599\pi\) | |||||||
\(702\) | 17.1627 | + | 5.57648i | 0.647763 | + | 0.210471i | ||||
\(703\) | −3.26475 | + | 4.49354i | −0.123132 | + | 0.169477i | ||||
\(704\) | −16.9930 | − | 12.3461i | −0.640447 | − | 0.465312i | ||||
\(705\) | 47.0814 | + | 12.8272i | 1.77319 | + | 0.483099i | ||||
\(706\) | 8.85599 | − | 6.43425i | 0.333299 | − | 0.242156i | ||||
\(707\) | − | 2.52780i | − | 0.0950676i | ||||||
\(708\) | −14.9240 | − | 20.5411i | −0.560878 | − | 0.771982i | ||||
\(709\) | −6.13273 | − | 18.8746i | −0.230320 | − | 0.708851i | −0.997708 | − | 0.0676683i | \(-0.978444\pi\) |
0.767388 | − | 0.641183i | \(-0.221556\pi\) | |||||||
\(710\) | −44.9095 | + | 2.16489i | −1.68542 | + | 0.0812467i | ||||
\(711\) | 8.98015 | − | 27.6381i | 0.336782 | − | 1.03651i | ||||
\(712\) | 10.0248 | − | 3.25725i | 0.375695 | − | 0.122071i | ||||
\(713\) | −0.590793 | + | 0.191960i | −0.0221254 | + | 0.00718897i | ||||
\(714\) | −4.06943 | + | 12.5244i | −0.152295 | + | 0.468715i | ||||
\(715\) | −12.6204 | − | 8.27117i | −0.471975 | − | 0.309324i | ||||
\(716\) | 6.29100 | + | 19.3617i | 0.235106 | + | 0.723580i | ||||
\(717\) | −9.08759 | − | 12.5080i | −0.339382 | − | 0.467120i | ||||
\(718\) | 47.1144i | 1.75829i | ||||||||
\(719\) | 19.5945 | − | 14.2362i | 0.730751 | − | 0.530922i | −0.159050 | − | 0.987271i | \(-0.550843\pi\) |
0.889801 | + | 0.456349i | \(0.150843\pi\) | |||||||
\(720\) | −0.628054 | − | 13.0287i | −0.0234062 | − | 0.485550i | ||||
\(721\) | −8.16149 | − | 5.92967i | −0.303950 | − | 0.220832i | ||||
\(722\) | 15.1012 | − | 20.7850i | 0.562008 | − | 0.773537i | ||||
\(723\) | 2.46676 | + | 0.801498i | 0.0917397 | + | 0.0298080i | ||||
\(724\) | −33.5609 | −1.24728 | ||||||||
\(725\) | −5.81785 | + | 26.2853i | −0.216069 | + | 0.976213i | ||||
\(726\) | −32.0914 | −1.19102 | ||||||||
\(727\) | 5.57804 | + | 1.81242i | 0.206878 | + | 0.0672188i | 0.410623 | − | 0.911805i | \(-0.365311\pi\) |
−0.203745 | + | 0.979024i | \(0.565311\pi\) | |||||||
\(728\) | −1.42994 | + | 1.96815i | −0.0529972 | + | 0.0729444i | ||||
\(729\) | −2.83585 | − | 2.06037i | −0.105032 | − | 0.0763099i | ||||
\(730\) | −3.38313 | + | 1.28242i | −0.125215 | + | 0.0474644i | ||||
\(731\) | −10.8748 | + | 7.90103i | −0.402220 | + | 0.292230i | ||||
\(732\) | 14.3000i | 0.528542i | ||||||||
\(733\) | 20.2795 | + | 27.9123i | 0.749039 | + | 1.03096i | 0.998047 | + | 0.0624625i | \(0.0198954\pi\) |
−0.249008 | + | 0.968501i | \(0.580105\pi\) | |||||||
\(734\) | −4.70321 | − | 14.4750i | −0.173599 | − | 0.534282i | ||||
\(735\) | 10.4812 | + | 27.6504i | 0.386607 | + | 1.01990i | ||||
\(736\) | −11.3710 | + | 34.9964i | −0.419142 | + | 1.28999i | ||||
\(737\) | −4.15759 | + | 1.35088i | −0.153147 | + | 0.0497604i | ||||
\(738\) | −31.3900 | + | 10.1992i | −1.15548 | + | 0.375439i | ||||
\(739\) | −12.2282 | + | 37.6345i | −0.449821 | + | 1.38441i | 0.427288 | + | 0.904116i | \(0.359469\pi\) |
−0.877109 | + | 0.480291i | \(0.840531\pi\) | |||||||
\(740\) | −8.80010 | + | 7.06531i | −0.323498 | + | 0.259726i | ||||
\(741\) | −5.92426 | − | 18.2330i | −0.217633 | − | 0.669805i | ||||
\(742\) | 9.20219 | + | 12.6657i | 0.337823 | + | 0.464974i | ||||
\(743\) | 29.7058i | 1.08980i | 0.838501 | + | 0.544900i | \(0.183433\pi\) | ||||
−0.838501 | + | 0.544900i | \(0.816567\pi\) | |||||||
\(744\) | 0.176440 | − | 0.128191i | 0.00646859 | − | 0.00469971i | ||||
\(745\) | 3.93641 | − | 6.00627i | 0.144219 | − | 0.220053i | ||||
\(746\) | −37.6332 | − | 27.3421i | −1.37785 | − | 1.00107i | ||||
\(747\) | −1.90858 | + | 2.62694i | −0.0698314 | + | 0.0961147i | ||||
\(748\) | −12.9296 | − | 4.20109i | −0.472754 | − | 0.153607i | ||||
\(749\) | 4.78058 | 0.174679 | ||||||||
\(750\) | −45.9585 | + | 22.6937i | −1.67817 | + | 0.828655i | ||||
\(751\) | 26.8870 | 0.981122 | 0.490561 | − | 0.871407i | \(-0.336792\pi\) | ||||
0.490561 | + | 0.871407i | \(0.336792\pi\) | |||||||
\(752\) | −30.0375 | − | 9.75977i | −1.09535 | − | 0.355902i | ||||
\(753\) | 5.95552 | − | 8.19707i | 0.217031 | − | 0.298718i | ||||
\(754\) | −30.6482 | − | 22.2672i | −1.11614 | − | 0.810925i | ||||
\(755\) | −21.6781 | + | 33.0771i | −0.788949 | + | 1.20380i | ||||
\(756\) | −4.83591 | + | 3.51349i | −0.175880 | + | 0.127784i | ||||
\(757\) | 44.6792i | 1.62389i | 0.583731 | + | 0.811947i | \(0.301592\pi\) | ||||
−0.583731 | + | 0.811947i | \(0.698408\pi\) | |||||||
\(758\) | 40.3826 | + | 55.5819i | 1.46676 | + | 2.01883i | ||||
\(759\) | −6.18178 | − | 19.0256i | −0.224384 | − | 0.690584i | ||||
\(760\) | −3.27409 | + | 2.62866i | −0.118764 | + | 0.0953514i | ||||
\(761\) | 6.27550 | − | 19.3140i | 0.227487 | − | 0.700132i | −0.770543 | − | 0.637388i | \(-0.780015\pi\) |
0.998030 | − | 0.0627441i | \(-0.0199852\pi\) | |||||||
\(762\) | 6.50010 | − | 2.11201i | 0.235474 | − | 0.0765100i | ||||
\(763\) | 15.3601 | − | 4.99080i | 0.556073 | − | 0.180679i | ||||
\(764\) | 0.918996 | − | 2.82838i | 0.0332481 | − | 0.102327i | ||||
\(765\) | −4.20597 | − | 11.0957i | −0.152067 | − | 0.401167i | ||||
\(766\) | 13.3390 | + | 41.0531i | 0.481957 | + | 1.48331i | ||||
\(767\) | 9.75300 | + | 13.4239i | 0.352160 | + | 0.484707i | ||||
\(768\) | 19.9359i | 0.719375i | ||||||||
\(769\) | 21.0811 | − | 15.3163i | 0.760205 | − | 0.552321i | −0.138768 | − | 0.990325i | \(-0.544314\pi\) |
0.898973 | + | 0.438004i | \(0.144314\pi\) | |||||||
\(770\) | 8.65392 | − | 3.28037i | 0.311865 | − | 0.118216i | ||||
\(771\) | −17.3511 | − | 12.6063i | −0.624886 | − | 0.454007i | ||||
\(772\) | 29.2264 | − | 40.2266i | 1.05188 | − | 1.44779i | ||||
\(773\) | −13.0585 | − | 4.24295i | −0.469680 | − | 0.152608i | 0.0646079 | − | 0.997911i | \(-0.479420\pi\) |
−0.534288 | + | 0.845302i | \(0.679420\pi\) | |||||||
\(774\) | 17.7543 | 0.638166 | ||||||||
\(775\) | 0.588343 | + | 0.346289i | 0.0211339 | + | 0.0124391i | ||||
\(776\) | 12.3724 | 0.444142 | ||||||||
\(777\) | 4.45938 | + | 1.44894i | 0.159979 | + | 0.0519805i | ||||
\(778\) | −1.40276 | + | 1.93074i | −0.0502915 | + | 0.0692203i | ||||
\(779\) | −18.0510 | − | 13.1148i | −0.646745 | − | 0.469888i | ||||
\(780\) | −1.87556 | − | 38.9075i | −0.0671558 | − | 1.39311i | ||||
\(781\) | −15.6020 | + | 11.3355i | −0.558282 | + | 0.405616i | ||||
\(782\) | 27.4610i | 0.982005i | ||||||||
\(783\) | −8.11722 | − | 11.1724i | −0.290086 | − | 0.399269i | ||||
\(784\) | −5.91424 | − | 18.2021i | −0.211223 | − | 0.650077i | ||||
\(785\) | −3.09541 | − | 2.02868i | −0.110480 | − | 0.0724068i | ||||
\(786\) | 19.9960 | − | 61.5414i | 0.713234 | − | 2.19511i | ||||
\(787\) | 18.7035 | − | 6.07714i | 0.666708 | − | 0.216627i | 0.0439412 | − | 0.999034i | \(-0.486009\pi\) |
0.622767 | + | 0.782408i | \(0.286009\pi\) | |||||||
\(788\) | −27.2513 | + | 8.85450i | −0.970789 | + | 0.315429i | ||||
\(789\) | 0.676537 | − | 2.08217i | 0.0240853 | − | 0.0741271i | ||||
\(790\) | 73.8242 | − | 3.55874i | 2.62655 | − | 0.126614i | ||||
\(791\) | 2.07217 | + | 6.37748i | 0.0736779 | + | 0.226757i | ||||
\(792\) | 1.56588 | + | 2.15525i | 0.0556412 | + | 0.0765835i | ||||
\(793\) | − | 9.34520i | − | 0.331858i | ||||||
\(794\) | 7.90396 | − | 5.74257i | 0.280501 | − | 0.203796i | ||||
\(795\) | −35.8825 | − | 9.77608i | −1.27262 | − | 0.346722i | ||||
\(796\) | −19.7713 | − | 14.3647i | −0.700776 | − | 0.509144i | ||||
\(797\) | 6.43278 | − | 8.85396i | 0.227861 | − | 0.313623i | −0.679744 | − | 0.733450i | \(-0.737909\pi\) |
0.907604 | + | 0.419826i | \(0.137909\pi\) | |||||||
\(798\) | 11.1829 | + | 3.63356i | 0.395872 | + | 0.128627i | ||||
\(799\) | −28.7318 | −1.01646 | ||||||||
\(800\) | 37.0804 | − | 16.1382i | 1.31099 | − | 0.570570i | ||||
\(801\) | 26.5985 | 0.939812 | ||||||||
\(802\) | 47.7661 | + | 15.5202i | 1.68668 | + | 0.548036i | ||||
\(803\) | −0.912160 | + | 1.25548i | −0.0321894 | + | 0.0443049i | ||||
\(804\) | −9.12982 | − | 6.63320i | −0.321984 | − | 0.233935i | ||||
\(805\) | −6.32065 | − | 7.87259i | −0.222774 | − | 0.277472i | ||||
\(806\) | −0.777193 | + | 0.564664i | −0.0273754 | + | 0.0198894i | ||||
\(807\) | 7.22982i | 0.254502i | ||||||||
\(808\) | 1.08777 | + | 1.49718i | 0.0382675 | + | 0.0526707i | ||||
\(809\) | −5.08109 | − | 15.6380i | −0.178641 | − | 0.549802i | 0.821140 | − | 0.570727i | \(-0.193339\pi\) |
−0.999781 | + | 0.0209255i | \(0.993339\pi\) | |||||||
\(810\) | 13.6529 | − | 50.1122i | 0.479714 | − | 1.76076i | ||||
\(811\) | 6.99839 | − | 21.5388i | 0.245747 | − | 0.756331i | −0.749766 | − | 0.661703i | \(-0.769834\pi\) |
0.995513 | − | 0.0946276i | \(-0.0301660\pi\) | |||||||
\(812\) | 11.9343 | − | 3.87768i | 0.418811 | − | 0.136080i | ||||
\(813\) | −25.4044 | + | 8.25439i | −0.890972 | + | 0.289494i | ||||
\(814\) | −2.76972 | + | 8.52431i | −0.0970785 | + | 0.298777i | ||||
\(815\) | −0.524854 | + | 1.92644i | −0.0183848 | + | 0.0674804i | ||||
\(816\) | 6.25680 | + | 19.2565i | 0.219032 | + | 0.674111i | ||||
\(817\) | 7.05476 | + | 9.71004i | 0.246815 | + | 0.339711i | ||||
\(818\) | − | 3.96067i | − | 0.138482i | ||||||
\(819\) | −4.96645 | + | 3.60834i | −0.173542 | + | 0.126085i | ||||
\(820\) | −28.3821 | − | 35.3509i | −0.991146 | − | 1.23451i | ||||
\(821\) | 32.1820 | + | 23.3816i | 1.12316 | + | 0.816024i | 0.984685 | − | 0.174342i | \(-0.0557800\pi\) |
0.138475 | + | 0.990366i | \(0.455780\pi\) | |||||||
\(822\) | −1.85785 | + | 2.55711i | −0.0647999 | + | 0.0891894i | ||||
\(823\) | −15.7497 | − | 5.11738i | −0.548999 | − | 0.178381i | 0.0213662 | − | 0.999772i | \(-0.493198\pi\) |
−0.570365 | + | 0.821391i | \(0.693198\pi\) | |||||||
\(824\) | 7.38562 | 0.257290 | ||||||||
\(825\) | −11.1517 | + | 18.9467i | −0.388252 | + | 0.659639i | ||||
\(826\) | −10.1770 | −0.354102 | ||||||||
\(827\) | −24.7618 | − | 8.04561i | −0.861053 | − | 0.279773i | −0.154985 | − | 0.987917i | \(-0.549533\pi\) |
−0.706068 | + | 0.708144i | \(0.749533\pi\) | |||||||
\(828\) | 11.5138 | − | 15.8474i | 0.400132 | − | 0.550735i | ||||
\(829\) | 4.16123 | + | 3.02331i | 0.144526 | + | 0.105004i | 0.657699 | − | 0.753281i | \(-0.271530\pi\) |
−0.513173 | + | 0.858285i | \(0.671530\pi\) | |||||||
\(830\) | −7.96794 | − | 2.17084i | −0.276571 | − | 0.0753509i | ||||
\(831\) | −21.1061 | + | 15.3345i | −0.732162 | + | 0.531947i | ||||
\(832\) | 35.4352i | 1.22849i | ||||||||
\(833\) | −10.2339 | − | 14.0857i | −0.354583 | − | 0.488041i | ||||
\(834\) | 23.4771 | + | 72.2550i | 0.812944 | + | 2.50199i | ||||
\(835\) | 11.6042 | − | 0.559386i | 0.401579 | − | 0.0193584i | ||||
\(836\) | −3.75112 | + | 11.5447i | −0.129735 | + | 0.399283i | ||||
\(837\) | −0.333057 | + | 0.108217i | −0.0115121 | + | 0.00374052i | ||||
\(838\) | 4.61706 | − | 1.50017i | 0.159494 | − | 0.0518227i | ||||
\(839\) | −11.9177 | + | 36.6788i | −0.411444 | + | 1.26629i | 0.503950 | + | 0.863733i | \(0.331880\pi\) |
−0.915393 | + | 0.402560i | \(0.868120\pi\) | |||||||
\(840\) | 2.96456 | + | 1.94293i | 0.102287 | + | 0.0670373i | ||||
\(841\) | −0.00289251 | − | 0.00890222i | −9.97416e−5 | − | 0.000306973i | ||||
\(842\) | −29.3556 | − | 40.4045i | −1.01166 | − | 1.39243i | ||||
\(843\) | − | 54.1744i | − | 1.86586i | ||||||
\(844\) | −16.4488 | + | 11.9507i | −0.566191 | + | 0.411362i | ||||
\(845\) | −0.173956 | − | 3.60863i | −0.00598427 | − | 0.124141i | ||||
\(846\) | 30.7015 | + | 22.3059i | 1.05554 | + | 0.766894i | ||||
\(847\) | −4.08322 | + | 5.62007i | −0.140301 | + | 0.193108i | ||||
\(848\) | 22.8927 | + | 7.43830i | 0.786139 | + | 0.255432i | ||||
\(849\) | −7.39447 | −0.253777 | ||||||||
\(850\) | 22.5962 | − | 20.0052i | 0.775042 | − | 0.686174i | ||||
\(851\) | 9.77764 | 0.335173 | ||||||||
\(852\) | −47.3475 | − | 15.3841i | −1.62210 | − | 0.527052i | ||||
\(853\) | −5.37684 | + | 7.40059i | −0.184100 | + | 0.253391i | −0.891085 | − | 0.453837i | \(-0.850055\pi\) |
0.706985 | + | 0.707228i | \(0.250055\pi\) | |||||||
\(854\) | 4.63708 | + | 3.36904i | 0.158678 | + | 0.115286i | ||||
\(855\) | −9.90726 | + | 3.75547i | −0.338821 | + | 0.128434i | ||||
\(856\) | −2.83148 | + | 2.05719i | −0.0967780 | + | 0.0703134i | ||||
\(857\) | − | 13.6712i | − | 0.466998i | −0.972357 | − | 0.233499i | \(-0.924982\pi\) | ||
0.972357 | − | 0.233499i | \(-0.0750176\pi\) | |||||||
\(858\) | −18.1841 | − | 25.0283i | −0.620795 | − | 0.854451i | ||||
\(859\) | 11.0182 | + | 33.9105i | 0.375936 | + | 1.15701i | 0.942845 | + | 0.333232i | \(0.108139\pi\) |
−0.566909 | + | 0.823780i | \(0.691861\pi\) | |||||||
\(860\) | 8.64384 | + | 22.8032i | 0.294752 | + | 0.777582i | ||||
\(861\) | −5.82055 | + | 17.9138i | −0.198364 | + | 0.610501i | ||||
\(862\) | 2.36453 | − | 0.768282i | 0.0805362 | − | 0.0261678i | ||||
\(863\) | 32.2725 | − | 10.4860i | 1.09857 | − | 0.356947i | 0.297017 | − | 0.954872i | \(-0.404008\pi\) |
0.801552 | + | 0.597926i | \(0.204008\pi\) | |||||||
\(864\) | −6.41037 | + | 19.7291i | −0.218085 | + | 0.671197i | ||||
\(865\) | −10.0514 | + | 8.06997i | −0.341759 | + | 0.274387i | ||||
\(866\) | −16.5053 | − | 50.7980i | −0.560872 | − | 1.72619i | ||||
\(867\) | −11.1414 | − | 15.3349i | −0.378383 | − | 0.520800i | ||||
\(868\) | − | 0.318210i | − | 0.0108007i | ||||||
\(869\) | 25.6472 | − | 18.6338i | 0.870022 | − | 0.632108i | ||||
\(870\) | −30.2554 | + | 46.1645i | −1.02576 | + | 1.56512i | ||||
\(871\) | 5.96645 | + | 4.33488i | 0.202165 | + | 0.146882i | ||||
\(872\) | −6.94995 | + | 9.56578i | −0.235355 | + | 0.323938i | ||||
\(873\) | 29.6925 | + | 9.64769i | 1.00494 | + | 0.326525i | ||||
\(874\) | 24.5197 | 0.829391 | ||||||||
\(875\) | −1.87336 | + | 10.9361i | −0.0633311 | + | 0.369706i | ||||
\(876\) | −4.00610 | −0.135354 | ||||||||
\(877\) | 27.2945 | + | 8.86851i | 0.921668 | + | 0.299468i | 0.731151 | − | 0.682216i | \(-0.238983\pi\) |
0.190517 | + | 0.981684i | \(0.438983\pi\) | |||||||
\(878\) | 23.7469 | − | 32.6847i | 0.801418 | − | 1.10306i | ||||
\(879\) | 15.9425 | + | 11.5829i | 0.537726 | + | 0.390680i | ||||
\(880\) | 7.79981 | − | 11.9011i | 0.262932 | − | 0.401188i | ||||
\(881\) | −6.73943 | + | 4.89648i | −0.227057 | + | 0.164967i | −0.695498 | − | 0.718528i | \(-0.744816\pi\) |
0.468441 | + | 0.883495i | \(0.344816\pi\) | |||||||
\(882\) | 22.9964i | 0.774331i | ||||||||
\(883\) | −29.5753 | − | 40.7069i | −0.995289 | − | 1.36990i | −0.928172 | − | 0.372152i | \(-0.878620\pi\) |
−0.0671169 | − | 0.997745i | \(-0.521380\pi\) | |||||||
\(884\) | 7.08737 | + | 21.8127i | 0.238374 | + | 0.733640i | ||||
\(885\) | 18.8515 | − | 15.1353i | 0.633687 | − | 0.508767i | ||||
\(886\) | 1.58689 | − | 4.88395i | 0.0533127 | − | 0.164080i | ||||
\(887\) | −11.5255 | + | 3.74486i | −0.386988 | + | 0.125740i | −0.496048 | − | 0.868295i | \(-0.665216\pi\) |
0.109060 | + | 0.994035i | \(0.465216\pi\) | |||||||
\(888\) | −3.26475 | + | 1.06078i | −0.109558 | + | 0.0355975i | ||||
\(889\) | 0.457185 | − | 1.40707i | 0.0153335 | − | 0.0471916i | ||||
\(890\) | 23.9781 | + | 63.2564i | 0.803749 | + | 2.12036i | ||||
\(891\) | −6.88420 | − | 21.1874i | −0.230629 | − | 0.709804i | ||||
\(892\) | −39.1242 | − | 53.8498i | −1.30997 | − | 1.80302i | ||||
\(893\) | 25.6543i | 0.858490i | ||||||||
\(894\) | 11.9114 | − | 8.65417i | 0.398378 | − | 0.289439i | ||||
\(895\) | −18.1256 | + | 6.87075i | −0.605874 | + | 0.229664i | ||||
\(896\) | −4.59573 | − | 3.33899i | −0.153532 | − | 0.111548i | ||||
\(897\) | −19.8369 | + | 27.3031i | −0.662333 | + | 0.911624i | ||||
\(898\) | −28.4761 | − | 9.25243i | −0.950259 | − | 0.308758i | ||||
\(899\) | 0.735159 | 0.0245189 | ||||||||
\(900\) | −21.4277 | + | 2.07068i | −0.714256 | + | 0.0690226i | ||||
\(901\) | 21.8976 | 0.729514 | ||||||||
\(902\) | −34.2431 | − | 11.1262i | −1.14017 | − | 0.370463i | ||||
\(903\) | 5.95552 | − | 8.19707i | 0.198187 | − | 0.272781i | ||||
\(904\) | −3.97169 | − | 2.88560i | −0.132096 | − | 0.0959737i | ||||
\(905\) | −1.53864 | − | 31.9183i | −0.0511461 | − | 1.06100i | ||||
\(906\) | −65.5973 | + | 47.6592i | −2.17932 | + | 1.58337i | ||||
\(907\) | − | 31.9105i | − | 1.05957i | −0.848132 | − | 0.529786i | \(-0.822272\pi\) | ||
0.848132 | − | 0.529786i | \(-0.177728\pi\) | |||||||
\(908\) | 30.7013 | + | 42.2567i | 1.01886 | + | 1.40234i | ||||
\(909\) | 1.44307 | + | 4.44132i | 0.0478637 | + | 0.147309i | ||||
\(910\) | −13.0585 | − | 8.55832i | −0.432885 | − | 0.283706i | ||||
\(911\) | −7.62900 | + | 23.4797i | −0.252760 | + | 0.777916i | 0.741503 | + | 0.670950i | \(0.234114\pi\) |
−0.994263 | + | 0.106966i | \(0.965886\pi\) | |||||||
\(912\) | 17.1939 | − | 5.58664i | 0.569347 | − | 0.184992i | ||||
\(913\) | −3.36884 | + | 1.09460i | −0.111492 | + | 0.0362260i | ||||
\(914\) | 16.2363 | − | 49.9701i | 0.537048 | − | 1.65286i | ||||
\(915\) | −13.6001 | + | 0.655599i | −0.449605 | + | 0.0216734i | ||||
\(916\) | 1.79654 | + | 5.52917i | 0.0593592 | + | 0.182689i | ||||
\(917\) | −8.23333 | − | 11.3322i | −0.271889 | − | 0.374223i | ||||
\(918\) | 15.4810i | 0.510951i | ||||||||
\(919\) | −15.7637 | + | 11.4530i | −0.519997 | + | 0.377800i | −0.816603 | − | 0.577200i | \(-0.804145\pi\) |
0.296606 | + | 0.955000i | \(0.404145\pi\) | |||||||
\(920\) | 7.13139 | + | 1.94293i | 0.235115 | + | 0.0640563i | ||||
\(921\) | 16.8637 | + | 12.2522i | 0.555676 | + | 0.403723i | ||||
\(922\) | −35.3314 | + | 48.6296i | −1.16358 | + | 1.60153i | ||||
\(923\) | 30.9422 | + | 10.0537i | 1.01847 | + | 0.330922i | ||||
\(924\) | 10.2474 | 0.337116 | ||||||||
\(925\) | −7.12296 | − | 8.04548i | −0.234202 | − | 0.264534i | ||||
\(926\) | 66.4781 | 2.18461 | ||||||||
\(927\) | 17.7248 | + | 5.75913i | 0.582158 | + | 0.189155i | ||||
\(928\) | 25.5970 | − | 35.2312i | 0.840262 | − | 1.15652i | ||||
\(929\) | 9.51748 | + | 6.91485i | 0.312258 | + | 0.226869i | 0.732865 | − | 0.680374i | \(-0.238183\pi\) |
−0.420607 | + | 0.907243i | \(0.638183\pi\) | |||||||
\(930\) | 0.876278 | + | 1.09144i | 0.0287343 | + | 0.0357896i | ||||
\(931\) | −12.5770 | + | 9.13773i | −0.412195 | + | 0.299477i | ||||
\(932\) | 13.9873i | 0.458168i | ||||||||
\(933\) | −37.9040 | − | 52.1704i | −1.24092 | − | 1.70798i | ||||
\(934\) | −27.7729 | − | 85.4762i | −0.908757 | − | 2.79687i | ||||
\(935\) | 3.40270 | − | 12.4894i | 0.111280 | − | 0.408448i | ||||
\(936\) | 1.38882 | − | 4.27434i | 0.0453950 | − | 0.139711i | ||||
\(937\) | 20.0371 | − | 6.51046i | 0.654585 | − | 0.212688i | 0.0371502 | − | 0.999310i | \(-0.488172\pi\) |
0.617435 | + | 0.786622i | \(0.288172\pi\) | |||||||
\(938\) | −4.30193 | + | 1.39778i | −0.140463 | + | 0.0456392i | ||||
\(939\) | 12.8334 | − | 39.4970i | 0.418801 | − | 1.28894i | ||||
\(940\) | −13.7019 | + | 50.2920i | −0.446906 | + | 1.64034i | ||||
\(941\) | −0.694380 | − | 2.13708i | −0.0226362 | − | 0.0696669i | 0.939100 | − | 0.343643i | \(-0.111661\pi\) |
−0.961736 | + | 0.273976i | \(0.911661\pi\) | |||||||
\(942\) | −4.46004 | − | 6.13872i | −0.145316 | − | 0.200010i | ||||
\(943\) | 39.2778i | 1.27906i | ||||||||
\(944\) | −12.6588 | + | 9.19719i | −0.412010 | + | 0.299343i | ||||
\(945\) | −3.56324 | − | 4.43814i | −0.115912 | − | 0.144373i | ||||
\(946\) | 15.6691 | + | 11.3842i | 0.509445 | + | 0.370134i | ||||
\(947\) | −3.97122 | + | 5.46592i | −0.129047 | + | 0.177619i | −0.868651 | − | 0.495424i | \(-0.835013\pi\) |
0.739604 | + | 0.673042i | \(0.235013\pi\) | |||||||
\(948\) | 77.8320 | + | 25.2891i | 2.52787 | + | 0.821353i | ||||
\(949\) | 2.61803 | 0.0849850 | ||||||||
\(950\) | −17.8625 | − | 20.1759i | −0.579536 | − | 0.654593i | ||||
\(951\) | −50.1021 | −1.62467 | ||||||||
\(952\) | −1.98485 | − | 0.644918i | −0.0643295 | − | 0.0209019i | ||||
\(953\) | −35.2397 | + | 48.5033i | −1.14153 | + | 1.57118i | −0.377475 | + | 0.926020i | \(0.623207\pi\) |
−0.764051 | + | 0.645156i | \(0.776793\pi\) | |||||||
\(954\) | −23.3988 | − | 17.0002i | −0.757564 | − | 0.550402i | ||||
\(955\) | 2.73208 | + | 0.744347i | 0.0884081 | + | 0.0240865i | ||||
\(956\) | 13.3610 | − | 9.70730i | 0.432124 | − | 0.313957i | ||||
\(957\) | 23.6747i | 0.765293i | ||||||||
\(958\) | −25.7720 | − | 35.4721i | −0.832654 | − | 1.14605i | ||||
\(959\) | 0.211431 | + | 0.650719i | 0.00682748 | + | 0.0210128i | ||||
\(960\) | 51.5688 | − | 2.48590i | 1.66438 | − | 0.0802322i | ||||
\(961\) | −9.57377 | + | 29.4650i | −0.308831 | + | 0.950485i | ||||
\(962\) | 14.3808 | − | 4.67260i | 0.463655 | − | 0.150651i | ||||
\(963\) | −8.39944 | + | 2.72914i | −0.270668 | + | 0.0879454i | ||||
\(964\) | −0.856155 | + | 2.63497i | −0.0275749 | + | 0.0848668i | ||||
\(965\) | 39.5977 | + | 25.9517i | 1.27470 | + | 0.835414i | ||||
\(966\) | −6.39639 | − | 19.6861i | −0.205801 | − | 0.633389i | ||||
\(967\) | 5.32298 | + | 7.32645i | 0.171175 | + | 0.235603i | 0.885982 | − | 0.463719i | \(-0.153485\pi\) |
−0.714807 | + | 0.699322i | \(0.753485\pi\) | |||||||
\(968\) | − | 5.08580i | − | 0.163464i | ||||||
\(969\) | 13.3055 | − | 9.66701i | 0.427434 | − | 0.310549i | ||||
\(970\) | 3.82327 | + | 79.3119i | 0.122758 | + | 2.54655i | ||||
\(971\) | −38.3076 | − | 27.8321i | −1.22935 | − | 0.893175i | −0.232509 | − | 0.972594i | \(-0.574693\pi\) |
−0.996841 | + | 0.0794192i | \(0.974693\pi\) | |||||||
\(972\) | 23.1821 | − | 31.9074i | 0.743566 | − | 1.02343i | ||||
\(973\) | 15.6410 | + | 5.08206i | 0.501426 | + | 0.162923i | ||||
\(974\) | 58.2191 | 1.86546 | ||||||||
\(975\) | 36.9173 | − | 3.56752i | 1.18230 | − | 0.114252i | ||||
\(976\) | 8.81263 | 0.282085 | ||||||||
\(977\) | −4.51245 | − | 1.46618i | −0.144366 | − | 0.0469074i | 0.235943 | − | 0.971767i | \(-0.424182\pi\) |
−0.380309 | + | 0.924860i | \(0.624182\pi\) | |||||||
\(978\) | −2.40618 | + | 3.31183i | −0.0769412 | + | 0.105900i | ||||
\(979\) | 23.4745 | + | 17.0552i | 0.750247 | + | 0.545086i | ||||
\(980\) | −29.5360 | + | 11.1960i | −0.943493 | + | 0.357643i | ||||
\(981\) | −24.1384 | + | 17.5376i | −0.770680 | + | 0.559932i | ||||
\(982\) | − | 31.1981i | − | 0.995570i | ||||||
\(983\) | 10.9126 | + | 15.0199i | 0.348057 | + | 0.479059i | 0.946773 | − | 0.321902i | \(-0.104322\pi\) |
−0.598716 | + | 0.800961i | \(0.704322\pi\) | |||||||
\(984\) | −4.26127 | − | 13.1148i | −0.135844 | − | 0.418086i | ||||
\(985\) | −9.67050 | − | 25.5116i | −0.308128 | − | 0.812868i | ||||
\(986\) | 10.0427 | − | 30.9084i | 0.319826 | − | 0.984323i | ||||
\(987\) | 20.5970 | − | 6.69238i | 0.655610 | − | 0.213021i | ||||
\(988\) | 19.4764 | − | 6.32825i | 0.619625 | − | 0.201328i | ||||
\(989\) | 6.52903 | − | 20.0943i | 0.207611 | − | 0.638961i | ||||
\(990\) | −13.3321 | + | 10.7039i | −0.423723 | + | 0.340194i | ||||
\(991\) | −12.2741 | − | 37.7758i | −0.389900 | − | 1.19999i | −0.932863 | − | 0.360232i | \(-0.882698\pi\) |
0.542963 | − | 0.839757i | \(-0.317302\pi\) | |||||||
\(992\) | −0.649101 | − | 0.893411i | −0.0206090 | − | 0.0283658i | ||||
\(993\) | 6.51411i | 0.206719i | ||||||||
\(994\) | −16.1436 | + | 11.7290i | −0.512044 | + | 0.372022i | ||||
\(995\) | 12.7552 | − | 19.4622i | 0.404367 | − | 0.616994i | ||||
\(996\) | −7.39777 | − | 5.37479i | −0.234407 | − | 0.170307i | ||||
\(997\) | 17.8048 | − | 24.5063i | 0.563885 | − | 0.776121i | −0.427929 | − | 0.903812i | \(-0.640757\pi\) |
0.991814 | + | 0.127691i | \(0.0407567\pi\) | |||||||
\(998\) | −87.9070 | − | 28.5627i | −2.78265 | − | 0.904137i | ||||
\(999\) | 5.51210 | 0.174395 |
(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 | 25.2.e.a.4.1 | ✓ | 8 | |
3.2 | odd | 2 | 225.2.m.a.154.2 | 8 | |||
4.3 | odd | 2 | 400.2.y.c.129.1 | 8 | |||
5.2 | odd | 4 | 125.2.d.b.101.4 | 16 | |||
5.3 | odd | 4 | 125.2.d.b.101.1 | 16 | |||
5.4 | even | 2 | 125.2.e.b.24.2 | 8 | |||
25.2 | odd | 20 | 625.2.d.o.376.1 | 16 | |||
25.3 | odd | 20 | 625.2.d.o.251.4 | 16 | |||
25.4 | even | 10 | 625.2.e.a.374.1 | 8 | |||
25.6 | even | 5 | 125.2.e.b.99.2 | 8 | |||
25.8 | odd | 20 | 125.2.d.b.26.1 | 16 | |||
25.9 | even | 10 | 625.2.b.c.624.7 | 8 | |||
25.11 | even | 5 | 625.2.e.a.249.1 | 8 | |||
25.12 | odd | 20 | 625.2.a.f.1.7 | 8 | |||
25.13 | odd | 20 | 625.2.a.f.1.2 | 8 | |||
25.14 | even | 10 | 625.2.e.i.249.2 | 8 | |||
25.16 | even | 5 | 625.2.b.c.624.2 | 8 | |||
25.17 | odd | 20 | 125.2.d.b.26.4 | 16 | |||
25.19 | even | 10 | inner | 25.2.e.a.19.1 | yes | 8 | |
25.21 | even | 5 | 625.2.e.i.374.2 | 8 | |||
25.22 | odd | 20 | 625.2.d.o.251.1 | 16 | |||
25.23 | odd | 20 | 625.2.d.o.376.4 | 16 | |||
75.38 | even | 20 | 5625.2.a.x.1.7 | 8 | |||
75.44 | odd | 10 | 225.2.m.a.19.2 | 8 | |||
75.62 | even | 20 | 5625.2.a.x.1.2 | 8 | |||
100.19 | odd | 10 | 400.2.y.c.369.1 | 8 | |||
100.63 | even | 20 | 10000.2.a.bj.1.7 | 8 | |||
100.87 | even | 20 | 10000.2.a.bj.1.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.2.e.a.4.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
25.2.e.a.19.1 | yes | 8 | 25.19 | even | 10 | inner | |
125.2.d.b.26.1 | 16 | 25.8 | odd | 20 | |||
125.2.d.b.26.4 | 16 | 25.17 | odd | 20 | |||
125.2.d.b.101.1 | 16 | 5.3 | odd | 4 | |||
125.2.d.b.101.4 | 16 | 5.2 | odd | 4 | |||
125.2.e.b.24.2 | 8 | 5.4 | even | 2 | |||
125.2.e.b.99.2 | 8 | 25.6 | even | 5 | |||
225.2.m.a.19.2 | 8 | 75.44 | odd | 10 | |||
225.2.m.a.154.2 | 8 | 3.2 | odd | 2 | |||
400.2.y.c.129.1 | 8 | 4.3 | odd | 2 | |||
400.2.y.c.369.1 | 8 | 100.19 | odd | 10 | |||
625.2.a.f.1.2 | 8 | 25.13 | odd | 20 | |||
625.2.a.f.1.7 | 8 | 25.12 | odd | 20 | |||
625.2.b.c.624.2 | 8 | 25.16 | even | 5 | |||
625.2.b.c.624.7 | 8 | 25.9 | even | 10 | |||
625.2.d.o.251.1 | 16 | 25.22 | odd | 20 | |||
625.2.d.o.251.4 | 16 | 25.3 | odd | 20 | |||
625.2.d.o.376.1 | 16 | 25.2 | odd | 20 | |||
625.2.d.o.376.4 | 16 | 25.23 | odd | 20 | |||
625.2.e.a.249.1 | 8 | 25.11 | even | 5 | |||
625.2.e.a.374.1 | 8 | 25.4 | even | 10 | |||
625.2.e.i.249.2 | 8 | 25.14 | even | 10 | |||
625.2.e.i.374.2 | 8 | 25.21 | even | 5 | |||
5625.2.a.x.1.2 | 8 | 75.62 | even | 20 | |||
5625.2.a.x.1.7 | 8 | 75.38 | even | 20 | |||
10000.2.a.bj.1.2 | 8 | 100.87 | even | 20 | |||
10000.2.a.bj.1.7 | 8 | 100.63 | even | 20 |