Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,2,Mod(2,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.g (of order \(20\), degree \(8\), 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: | \(0.327386648287\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 41.2 |
Dual form | 41.2.g.a.21.1 |
$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.05153 | + | 0.666584i | −1.45065 | + | 0.471346i | −0.925201 | − | 0.379477i | \(-0.876104\pi\) |
−0.525452 | + | 0.850823i | \(0.676104\pi\) | |||||||
\(3\) | 1.49921 | − | 1.49921i | 0.865568 | − | 0.865568i | −0.126410 | − | 0.991978i | \(-0.540346\pi\) |
0.991978 | + | 0.126410i | \(0.0403456\pi\) | |||||||
\(4\) | 2.14642 | − | 1.55947i | 1.07321 | − | 0.779734i | ||||
\(5\) | 1.72514 | + | 2.37446i | 0.771508 | + | 1.06189i | 0.996169 | + | 0.0874522i | \(0.0278725\pi\) |
−0.224661 | + | 0.974437i | \(0.572127\pi\) | |||||||
\(6\) | −2.07633 | + | 4.07502i | −0.847657 | + | 1.66362i | ||||
\(7\) | −1.11329 | − | 2.18496i | −0.420786 | − | 0.825839i | −0.999944 | − | 0.0106232i | \(-0.996618\pi\) |
0.579158 | − | 0.815216i | \(-0.303382\pi\) | |||||||
\(8\) | −0.828108 | + | 1.13979i | −0.292780 | + | 0.402977i | ||||
\(9\) | − | 1.49525i | − | 0.498415i | ||||||
\(10\) | −5.12196 | − | 3.72132i | −1.61971 | − | 1.17679i | ||||
\(11\) | −6.07021 | + | 0.961426i | −1.83024 | + | 0.289881i | −0.973974 | − | 0.226660i | \(-0.927219\pi\) |
−0.856262 | + | 0.516541i | \(0.827219\pi\) | |||||||
\(12\) | 0.879968 | − | 5.55590i | 0.254025 | − | 1.60385i | ||||
\(13\) | 0.531087 | + | 0.270602i | 0.147297 | + | 0.0750516i | 0.526085 | − | 0.850432i | \(-0.323659\pi\) |
−0.378788 | + | 0.925483i | \(0.623659\pi\) | |||||||
\(14\) | 3.74042 | + | 3.74042i | 0.999670 | + | 0.999670i | ||||
\(15\) | 6.14615 | + | 0.973455i | 1.58693 | + | 0.251345i | ||||
\(16\) | −0.700597 | + | 2.15622i | −0.175149 | + | 0.539054i | ||||
\(17\) | 0.0921689 | + | 0.581932i | 0.0223542 | + | 0.141139i | 0.996341 | − | 0.0854651i | \(-0.0272376\pi\) |
−0.973987 | + | 0.226604i | \(0.927238\pi\) | |||||||
\(18\) | 0.996707 | + | 3.06755i | 0.234926 | + | 0.723028i | ||||
\(19\) | −1.67787 | + | 0.854919i | −0.384931 | + | 0.196132i | −0.635738 | − | 0.771905i | \(-0.719304\pi\) |
0.250807 | + | 0.968037i | \(0.419304\pi\) | |||||||
\(20\) | 7.40577 | + | 2.40628i | 1.65598 | + | 0.538061i | ||||
\(21\) | −4.94477 | − | 1.60665i | −1.07904 | − | 0.350601i | ||||
\(22\) | 11.8124 | − | 6.01870i | 2.51840 | − | 1.28319i | ||||
\(23\) | −1.21857 | − | 3.75036i | −0.254089 | − | 0.782005i | −0.994008 | − | 0.109309i | \(-0.965136\pi\) |
0.739919 | − | 0.672696i | \(-0.234864\pi\) | |||||||
\(24\) | 0.467280 | + | 2.95029i | 0.0953832 | + | 0.602226i | ||||
\(25\) | −1.11684 | + | 3.43727i | −0.223368 | + | 0.687455i | ||||
\(26\) | −1.26992 | − | 0.201136i | −0.249052 | − | 0.0394460i | ||||
\(27\) | 2.25594 | + | 2.25594i | 0.434155 | + | 0.434155i | ||||
\(28\) | −5.79698 | − | 2.95371i | −1.09553 | − | 0.558199i | ||||
\(29\) | 0.785988 | − | 4.96253i | 0.145954 | − | 0.921519i | −0.800652 | − | 0.599129i | \(-0.795514\pi\) |
0.946607 | − | 0.322390i | \(-0.104486\pi\) | |||||||
\(30\) | −13.2579 | + | 2.09985i | −2.42055 | + | 0.383378i | ||||
\(31\) | 4.03548 | + | 2.93195i | 0.724794 | + | 0.526593i | 0.887912 | − | 0.460013i | \(-0.152155\pi\) |
−0.163118 | + | 0.986606i | \(0.552155\pi\) | |||||||
\(32\) | − | 7.70828i | − | 1.36264i | ||||||
\(33\) | −7.65912 | + | 10.5419i | −1.33328 | + | 1.83511i | ||||
\(34\) | −0.576994 | − | 1.13241i | −0.0989536 | − | 0.194207i | ||||
\(35\) | 3.26751 | − | 6.41285i | 0.552310 | − | 1.08397i | ||||
\(36\) | −2.33179 | − | 3.20943i | −0.388631 | − | 0.534905i | ||||
\(37\) | −1.87618 | + | 1.36313i | −0.308443 | + | 0.224097i | −0.731228 | − | 0.682133i | \(-0.761052\pi\) |
0.422785 | + | 0.906230i | \(0.361052\pi\) | |||||||
\(38\) | 2.87234 | − | 2.87234i | 0.465955 | − | 0.465955i | ||||
\(39\) | 1.20190 | − | 0.390521i | 0.192458 | − | 0.0625333i | ||||
\(40\) | −4.13499 | −0.653800 | ||||||||
\(41\) | −1.29313 | + | 6.27119i | −0.201953 | + | 0.979395i | ||||
\(42\) | 11.2153 | 1.73056 | ||||||||
\(43\) | 2.50072 | − | 0.812532i | 0.381356 | − | 0.123910i | −0.112065 | − | 0.993701i | \(-0.535746\pi\) |
0.493420 | + | 0.869791i | \(0.335746\pi\) | |||||||
\(44\) | −11.5299 | + | 11.5299i | −1.73820 | + | 1.73820i | ||||
\(45\) | 3.55040 | − | 2.57951i | 0.529262 | − | 0.384531i | ||||
\(46\) | 4.99986 | + | 6.88172i | 0.737189 | + | 1.01465i | ||||
\(47\) | 2.33269 | − | 4.57815i | 0.340257 | − | 0.667792i | −0.655950 | − | 0.754804i | \(-0.727732\pi\) |
0.996207 | + | 0.0870119i | \(0.0277318\pi\) | |||||||
\(48\) | 2.18228 | + | 4.28296i | 0.314984 | + | 0.618192i | ||||
\(49\) | 0.579854 | − | 0.798101i | 0.0828364 | − | 0.114014i | ||||
\(50\) | − | 7.79615i | − | 1.10254i | ||||||
\(51\) | 1.01062 | + | 0.734256i | 0.141515 | + | 0.102816i | ||||
\(52\) | 1.56193 | − | 0.247386i | 0.216601 | − | 0.0343062i | ||||
\(53\) | 0.818669 | − | 5.16887i | 0.112453 | − | 0.710000i | −0.865459 | − | 0.500980i | \(-0.832973\pi\) |
0.977912 | − | 0.209019i | \(-0.0670271\pi\) | |||||||
\(54\) | −6.13190 | − | 3.12436i | −0.834446 | − | 0.425172i | ||||
\(55\) | −12.7548 | − | 12.7548i | −1.71986 | − | 1.71986i | ||||
\(56\) | 3.41233 | + | 0.540460i | 0.455992 | + | 0.0722221i | ||||
\(57\) | −1.23378 | + | 3.79718i | −0.163418 | + | 0.502949i | ||||
\(58\) | 1.69546 | + | 10.7047i | 0.222625 | + | 1.40560i | ||||
\(59\) | 3.23058 | + | 9.94272i | 0.420586 | + | 1.29443i | 0.907158 | + | 0.420791i | \(0.138247\pi\) |
−0.486572 | + | 0.873641i | \(0.661753\pi\) | |||||||
\(60\) | 14.7103 | − | 7.49528i | 1.89909 | − | 0.967636i | ||||
\(61\) | 0.968261 | + | 0.314607i | 0.123973 | + | 0.0402813i | 0.370347 | − | 0.928894i | \(-0.379239\pi\) |
−0.246373 | + | 0.969175i | \(0.579239\pi\) | |||||||
\(62\) | −10.2333 | − | 3.32501i | −1.29963 | − | 0.422276i | ||||
\(63\) | −3.26706 | + | 1.66465i | −0.411611 | + | 0.209726i | ||||
\(64\) | 3.73702 | + | 11.5014i | 0.467127 | + | 1.43767i | ||||
\(65\) | 0.273668 | + | 1.72787i | 0.0339443 | + | 0.214316i | ||||
\(66\) | 8.68590 | − | 26.7325i | 1.06916 | − | 3.29054i | ||||
\(67\) | −3.42634 | − | 0.542679i | −0.418594 | − | 0.0662988i | −0.0564152 | − | 0.998407i | \(-0.517967\pi\) |
−0.362179 | + | 0.932109i | \(0.617967\pi\) | |||||||
\(68\) | 1.10534 | + | 1.10534i | 0.134042 | + | 0.134042i | ||||
\(69\) | −7.44946 | − | 3.79569i | −0.896809 | − | 0.456947i | ||||
\(70\) | −2.42870 | + | 15.3342i | −0.290286 | + | 1.83279i | ||||
\(71\) | 4.74402 | − | 0.751379i | 0.563012 | − | 0.0891723i | 0.131560 | − | 0.991308i | \(-0.458001\pi\) |
0.431452 | + | 0.902136i | \(0.358001\pi\) | |||||||
\(72\) | 1.70427 | + | 1.23822i | 0.200850 | + | 0.145926i | ||||
\(73\) | − | 0.596626i | − | 0.0698297i | −0.999390 | − | 0.0349149i | \(-0.988884\pi\) | ||
0.999390 | − | 0.0349149i | \(-0.0111160\pi\) | |||||||
\(74\) | 2.94042 | − | 4.04714i | 0.341816 | − | 0.470470i | ||||
\(75\) | 3.47881 | + | 6.82756i | 0.401699 | + | 0.788379i | ||||
\(76\) | −2.26821 | + | 4.45161i | −0.260181 | + | 0.510634i | ||||
\(77\) | 8.85861 | + | 12.1928i | 1.00953 | + | 1.38950i | ||||
\(78\) | −2.20542 | + | 1.60233i | −0.249715 | + | 0.181428i | ||||
\(79\) | 3.13817 | − | 3.13817i | 0.353072 | − | 0.353072i | −0.508179 | − | 0.861251i | \(-0.669681\pi\) |
0.861251 | + | 0.508179i | \(0.169681\pi\) | |||||||
\(80\) | −6.32847 | + | 2.05625i | −0.707545 | + | 0.229895i | ||||
\(81\) | 11.2500 | 1.25000 | ||||||||
\(82\) | −1.52737 | − | 13.7275i | −0.168670 | − | 1.51595i | ||||
\(83\) | 3.79458 | 0.416509 | 0.208254 | − | 0.978075i | \(-0.433222\pi\) | ||||
0.208254 | + | 0.978075i | \(0.433222\pi\) | |||||||
\(84\) | −13.1191 | + | 4.26265i | −1.43141 | + | 0.465094i | ||||
\(85\) | −1.22277 | + | 1.22277i | −0.132628 | + | 0.132628i | ||||
\(86\) | −4.58868 | + | 3.33387i | −0.494811 | + | 0.359501i | ||||
\(87\) | −6.26151 | − | 8.61823i | −0.671304 | − | 0.923971i | ||||
\(88\) | 3.93096 | − | 7.71494i | 0.419042 | − | 0.822415i | ||||
\(89\) | −5.50333 | − | 10.8009i | −0.583352 | − | 1.14489i | −0.974463 | − | 0.224549i | \(-0.927909\pi\) |
0.391111 | − | 0.920343i | \(-0.372091\pi\) | |||||||
\(90\) | −5.56430 | + | 7.65860i | −0.586528 | + | 0.807287i | ||||
\(91\) | − | 1.46167i | − | 0.153224i | ||||||
\(92\) | −8.46413 | − | 6.14955i | −0.882446 | − | 0.641135i | ||||
\(93\) | 10.4456 | − | 1.65442i | 1.08316 | − | 0.171556i | ||||
\(94\) | −1.73386 | + | 10.9472i | −0.178834 | + | 1.12911i | ||||
\(95\) | −4.92454 | − | 2.50918i | −0.505247 | − | 0.257436i | ||||
\(96\) | −11.5563 | − | 11.5563i | −1.17946 | − | 1.17946i | ||||
\(97\) | −10.0255 | − | 1.58788i | −1.01793 | − | 0.161224i | −0.374900 | − | 0.927065i | \(-0.622323\pi\) |
−0.643030 | + | 0.765841i | \(0.722323\pi\) | |||||||
\(98\) | −0.657590 | + | 2.02385i | −0.0664266 | + | 0.204440i | ||||
\(99\) | 1.43757 | + | 9.07645i | 0.144481 | + | 0.912218i | ||||
\(100\) | 2.96311 | + | 9.11951i | 0.296311 | + | 0.911951i | ||||
\(101\) | 3.94458 | − | 2.00986i | 0.392500 | − | 0.199989i | −0.246591 | − | 0.969120i | \(-0.579311\pi\) |
0.639091 | + | 0.769131i | \(0.279311\pi\) | |||||||
\(102\) | −2.56276 | − | 0.832690i | −0.253751 | − | 0.0824486i | ||||
\(103\) | 0.205290 | + | 0.0667028i | 0.0202278 | + | 0.00657242i | 0.319113 | − | 0.947717i | \(-0.396615\pi\) |
−0.298886 | + | 0.954289i | \(0.596615\pi\) | |||||||
\(104\) | −0.748228 | + | 0.381241i | −0.0733698 | + | 0.0373838i | ||||
\(105\) | −4.71551 | − | 14.5129i | −0.460187 | − | 1.41631i | ||||
\(106\) | 1.76596 | + | 11.1498i | 0.171525 | + | 1.08297i | ||||
\(107\) | −4.88121 | + | 15.0228i | −0.471885 | + | 1.45231i | 0.378229 | + | 0.925712i | \(0.376533\pi\) |
−0.850113 | + | 0.526600i | \(0.823467\pi\) | |||||||
\(108\) | 8.36026 | + | 1.32413i | 0.804466 | + | 0.127415i | ||||
\(109\) | 4.23511 | + | 4.23511i | 0.405650 | + | 0.405650i | 0.880219 | − | 0.474568i | \(-0.157396\pi\) |
−0.474568 | + | 0.880219i | \(0.657396\pi\) | |||||||
\(110\) | 34.6692 | + | 17.6648i | 3.30557 | + | 1.68427i | ||||
\(111\) | −0.769178 | + | 4.85640i | −0.0730072 | + | 0.460949i | ||||
\(112\) | 5.49123 | − | 0.869725i | 0.518872 | − | 0.0821813i | ||||
\(113\) | −14.7878 | − | 10.7440i | −1.39112 | − | 1.01071i | −0.995741 | − | 0.0921939i | \(-0.970612\pi\) |
−0.395383 | − | 0.918517i | \(-0.629388\pi\) | |||||||
\(114\) | − | 8.61246i | − | 0.806631i | ||||||
\(115\) | 6.80287 | − | 9.36335i | 0.634371 | − | 0.873137i | ||||
\(116\) | −6.05185 | − | 11.8774i | −0.561900 | − | 1.10279i | ||||
\(117\) | 0.404617 | − | 0.794106i | 0.0374069 | − | 0.0734151i | ||||
\(118\) | −13.2553 | − | 18.2444i | −1.22025 | − | 1.67953i | ||||
\(119\) | 1.16889 | − | 0.849247i | 0.107152 | − | 0.0778504i | ||||
\(120\) | −6.19921 | + | 6.19921i | −0.565908 | + | 0.565908i | ||||
\(121\) | 25.4614 | − | 8.27292i | 2.31468 | − | 0.752084i | ||||
\(122\) | −2.19613 | −0.198828 | ||||||||
\(123\) | 7.46314 | + | 11.3405i | 0.672929 | + | 1.02254i | ||||
\(124\) | 13.2341 | 1.18846 | ||||||||
\(125\) | 3.86834 | − | 1.25690i | 0.345995 | − | 0.112421i | ||||
\(126\) | 5.59285 | − | 5.59285i | 0.498251 | − | 0.498251i | ||||
\(127\) | −14.7740 | + | 10.7340i | −1.31098 | + | 0.952485i | −0.310985 | + | 0.950415i | \(0.600659\pi\) |
−0.999998 | + | 0.00206962i | \(0.999341\pi\) | |||||||
\(128\) | −6.27161 | − | 8.63214i | −0.554338 | − | 0.762980i | ||||
\(129\) | 2.53094 | − | 4.96725i | 0.222837 | − | 0.437342i | ||||
\(130\) | −1.71321 | − | 3.36236i | −0.150258 | − | 0.294899i | ||||
\(131\) | −7.96565 | + | 10.9638i | −0.695962 | + | 0.957909i | 0.304024 | + | 0.952664i | \(0.401670\pi\) |
−0.999986 | + | 0.00524501i | \(0.998330\pi\) | |||||||
\(132\) | 34.5715i | 3.00906i | ||||||||
\(133\) | 3.73594 | + | 2.71432i | 0.323947 | + | 0.235361i | ||||
\(134\) | 7.39099 | − | 1.17062i | 0.638485 | − | 0.101126i | ||||
\(135\) | −1.46481 | + | 9.24844i | −0.126071 | + | 0.795979i | ||||
\(136\) | −0.739607 | − | 0.376849i | −0.0634208 | − | 0.0323145i | ||||
\(137\) | 10.5077 | + | 10.5077i | 0.897730 | + | 0.897730i | 0.995235 | − | 0.0975051i | \(-0.0310862\pi\) |
−0.0975051 | + | 0.995235i | \(0.531086\pi\) | |||||||
\(138\) | 17.8130 | + | 2.82129i | 1.51634 | + | 0.240165i | ||||
\(139\) | 0.195261 | − | 0.600951i | 0.0165618 | − | 0.0509720i | −0.942434 | − | 0.334392i | \(-0.891469\pi\) |
0.958996 | + | 0.283420i | \(0.0914690\pi\) | |||||||
\(140\) | −2.98717 | − | 18.8603i | −0.252462 | − | 1.59398i | ||||
\(141\) | −3.36642 | − | 10.3608i | −0.283504 | − | 0.872535i | ||||
\(142\) | −9.23166 | + | 4.70377i | −0.774704 | + | 0.394731i | ||||
\(143\) | −3.48397 | − | 1.13201i | −0.291344 | − | 0.0946635i | ||||
\(144\) | 3.22407 | + | 1.04757i | 0.268673 | + | 0.0872971i | ||||
\(145\) | 13.1393 | − | 6.69479i | 1.09116 | − | 0.555972i | ||||
\(146\) | 0.397701 | + | 1.22400i | 0.0329140 | + | 0.101299i | ||||
\(147\) | −0.327197 | − | 2.06584i | −0.0269868 | − | 0.170388i | ||||
\(148\) | −1.90133 | + | 5.85170i | −0.156288 | + | 0.481006i | ||||
\(149\) | −12.6918 | − | 2.01019i | −1.03975 | − | 0.164681i | −0.386866 | − | 0.922136i | \(-0.626443\pi\) |
−0.652887 | + | 0.757455i | \(0.726443\pi\) | |||||||
\(150\) | −11.6880 | − | 11.6880i | −0.954325 | − | 0.954325i | ||||
\(151\) | −12.1082 | − | 6.16943i | −0.985350 | − | 0.502061i | −0.114401 | − | 0.993435i | \(-0.536495\pi\) |
−0.870949 | + | 0.491374i | \(0.836495\pi\) | |||||||
\(152\) | 0.415029 | − | 2.62039i | 0.0336633 | − | 0.212542i | ||||
\(153\) | 0.870131 | − | 0.137815i | 0.0703459 | − | 0.0111417i | ||||
\(154\) | −26.3013 | − | 19.1090i | −2.11942 | − | 1.53985i | ||||
\(155\) | 14.6401i | 1.17592i | ||||||||
\(156\) | 1.97078 | − | 2.71254i | 0.157789 | − | 0.217177i | ||||
\(157\) | 1.90025 | + | 3.72944i | 0.151656 | + | 0.297642i | 0.954318 | − | 0.298792i | \(-0.0965837\pi\) |
−0.802662 | + | 0.596434i | \(0.796584\pi\) | |||||||
\(158\) | −4.34621 | + | 8.52992i | −0.345766 | + | 0.678604i | ||||
\(159\) | −6.52186 | − | 8.97657i | −0.517217 | − | 0.711888i | ||||
\(160\) | 18.3030 | − | 13.2979i | 1.44698 | − | 1.05129i | ||||
\(161\) | −6.83778 | + | 6.83778i | −0.538893 | + | 0.538893i | ||||
\(162\) | −23.0797 | + | 7.49905i | −1.81331 | + | 0.589181i | ||||
\(163\) | −16.9510 | −1.32770 | −0.663851 | − | 0.747865i | \(-0.731079\pi\) | ||||
−0.663851 | + | 0.747865i | \(0.731079\pi\) | |||||||
\(164\) | 7.00411 | + | 15.4772i | 0.546929 | + | 1.20857i | ||||
\(165\) | −38.2443 | −2.97732 | ||||||||
\(166\) | −7.78470 | + | 2.52940i | −0.604210 | + | 0.196320i | ||||
\(167\) | 18.1214 | − | 18.1214i | 1.40227 | − | 1.40227i | 0.609446 | − | 0.792827i | \(-0.291392\pi\) |
0.792827 | − | 0.609446i | \(-0.208608\pi\) | |||||||
\(168\) | 5.92606 | − | 4.30553i | 0.457205 | − | 0.332179i | ||||
\(169\) | −7.43238 | − | 10.2298i | −0.571722 | − | 0.786907i | ||||
\(170\) | 1.69347 | − | 3.32362i | 0.129883 | − | 0.254910i | ||||
\(171\) | 1.27831 | + | 2.50883i | 0.0977552 | + | 0.191855i | ||||
\(172\) | 4.10048 | − | 5.64382i | 0.312659 | − | 0.430338i | ||||
\(173\) | 6.83171i | 0.519405i | 0.965689 | + | 0.259702i | \(0.0836245\pi\) | ||||
−0.965689 | + | 0.259702i | \(0.916376\pi\) | |||||||
\(174\) | 18.5905 | + | 13.5068i | 1.40934 | + | 1.02395i | ||||
\(175\) | 8.75369 | − | 1.38645i | 0.661717 | − | 0.104806i | ||||
\(176\) | 2.17973 | − | 13.7623i | 0.164303 | − | 1.03737i | ||||
\(177\) | 19.7495 | + | 10.0629i | 1.48446 | + | 0.756372i | ||||
\(178\) | 18.4900 | + | 18.4900i | 1.38588 | + | 1.38588i | ||||
\(179\) | 15.4408 | + | 2.44559i | 1.15410 | + | 0.182792i | 0.704009 | − | 0.710191i | \(-0.251391\pi\) |
0.450092 | + | 0.892982i | \(0.351391\pi\) | |||||||
\(180\) | 3.59798 | − | 11.0735i | 0.268178 | − | 0.825367i | ||||
\(181\) | 3.13498 | + | 19.7935i | 0.233022 | + | 1.47124i | 0.775594 | + | 0.631232i | \(0.217450\pi\) |
−0.542573 | + | 0.840009i | \(0.682550\pi\) | |||||||
\(182\) | 0.974323 | + | 2.99866i | 0.0722216 | + | 0.222275i | ||||
\(183\) | 1.92329 | − | 0.979963i | 0.142173 | − | 0.0724409i | ||||
\(184\) | 5.28374 | + | 1.71679i | 0.389522 | + | 0.126563i | ||||
\(185\) | −6.47337 | − | 2.10333i | −0.475932 | − | 0.154640i | ||||
\(186\) | −20.3267 | + | 10.3570i | −1.49043 | + | 0.759411i | ||||
\(187\) | −1.11897 | − | 3.44383i | −0.0818271 | − | 0.251838i | ||||
\(188\) | −2.13255 | − | 13.4644i | −0.155532 | − | 0.981992i | ||||
\(189\) | 2.41762 | − | 7.44067i | 0.175856 | − | 0.541229i | ||||
\(190\) | 11.7754 | + | 1.86505i | 0.854280 | + | 0.135305i | ||||
\(191\) | −4.38486 | − | 4.38486i | −0.317277 | − | 0.317277i | 0.530443 | − | 0.847721i | \(-0.322026\pi\) |
−0.847721 | + | 0.530443i | \(0.822026\pi\) | |||||||
\(192\) | 22.8455 | + | 11.6404i | 1.64873 | + | 0.840071i | ||||
\(193\) | −2.21890 | + | 14.0096i | −0.159720 | + | 1.00843i | 0.769430 | + | 0.638731i | \(0.220540\pi\) |
−0.929150 | + | 0.369702i | \(0.879460\pi\) | |||||||
\(194\) | 21.6260 | − | 3.42522i | 1.55266 | − | 0.245917i | ||||
\(195\) | 3.00072 | + | 2.18015i | 0.214886 | + | 0.156124i | ||||
\(196\) | − | 2.61733i | − | 0.186952i | ||||||
\(197\) | 5.40427 | − | 7.43834i | 0.385038 | − | 0.529960i | −0.571872 | − | 0.820343i | \(-0.693783\pi\) |
0.956911 | + | 0.290383i | \(0.0937827\pi\) | |||||||
\(198\) | −8.99944 | − | 17.6624i | −0.639562 | − | 1.25521i | ||||
\(199\) | −4.04507 | + | 7.93889i | −0.286747 | + | 0.562773i | −0.988781 | − | 0.149370i | \(-0.952275\pi\) |
0.702034 | + | 0.712143i | \(0.252275\pi\) | |||||||
\(200\) | −2.99292 | − | 4.11940i | −0.211631 | − | 0.291285i | ||||
\(201\) | −5.95038 | + | 4.32321i | −0.419708 | + | 0.304935i | ||||
\(202\) | −6.75269 | + | 6.75269i | −0.475118 | + | 0.475118i | ||||
\(203\) | −11.7180 | + | 3.80741i | −0.822442 | + | 0.267228i | ||||
\(204\) | 3.31426 | 0.232045 | ||||||||
\(205\) | −17.1215 | + | 7.74822i | −1.19582 | + | 0.541159i | ||||
\(206\) | −0.465623 | −0.0324415 | ||||||||
\(207\) | −5.60772 | + | 1.82206i | −0.389763 | + | 0.126642i | ||||
\(208\) | −0.955555 | + | 0.955555i | −0.0662558 | + | 0.0662558i | ||||
\(209\) | 9.36310 | − | 6.80269i | 0.647659 | − | 0.470552i | ||||
\(210\) | 19.3481 | + | 26.6303i | 1.33514 | + | 1.83767i | ||||
\(211\) | −1.13287 | + | 2.22339i | −0.0779901 | + | 0.153064i | −0.926709 | − | 0.375781i | \(-0.877375\pi\) |
0.848719 | + | 0.528845i | \(0.177375\pi\) | |||||||
\(212\) | −6.30348 | − | 12.3713i | −0.432925 | − | 0.849663i | ||||
\(213\) | 5.98580 | − | 8.23875i | 0.410140 | − | 0.564510i | ||||
\(214\) | − | 34.0736i | − | 2.32922i | ||||||
\(215\) | 6.24342 | + | 4.53611i | 0.425798 | + | 0.309360i | ||||
\(216\) | −4.43946 | + | 0.703141i | −0.302067 | + | 0.0478427i | ||||
\(217\) | 1.91352 | − | 12.0815i | 0.129898 | − | 0.820146i | ||||
\(218\) | −11.5115 | − | 5.86542i | −0.779660 | − | 0.397256i | ||||
\(219\) | −0.894466 | − | 0.894466i | −0.0604424 | − | 0.0604424i | ||||
\(220\) | −47.2680 | − | 7.48652i | −3.18681 | − | 0.504741i | ||||
\(221\) | −0.108522 | + | 0.333997i | −0.00730000 | + | 0.0224671i | ||||
\(222\) | −1.65920 | − | 10.4758i | −0.111358 | − | 0.703089i | ||||
\(223\) | −7.66122 | − | 23.5788i | −0.513034 | − | 1.57895i | −0.786832 | − | 0.617168i | \(-0.788280\pi\) |
0.273798 | − | 0.961787i | \(-0.411720\pi\) | |||||||
\(224\) | −16.8423 | + | 8.58159i | −1.12532 | + | 0.573381i | ||||
\(225\) | 5.13957 | + | 1.66995i | 0.342638 | + | 0.111330i | ||||
\(226\) | 37.4995 | + | 12.1843i | 2.49443 | + | 0.810490i | ||||
\(227\) | 2.03948 | − | 1.03917i | 0.135365 | − | 0.0689721i | −0.384996 | − | 0.922918i | \(-0.625797\pi\) |
0.520361 | + | 0.853946i | \(0.325797\pi\) | |||||||
\(228\) | 3.27337 | + | 10.0744i | 0.216784 | + | 0.667193i | ||||
\(229\) | −3.28848 | − | 20.7626i | −0.217309 | − | 1.37203i | −0.819224 | − | 0.573474i | \(-0.805596\pi\) |
0.601915 | − | 0.798560i | \(-0.294404\pi\) | |||||||
\(230\) | −7.71486 | + | 23.7439i | −0.508703 | + | 1.56563i | ||||
\(231\) | 31.5605 | + | 4.99869i | 2.07653 | + | 0.328890i | ||||
\(232\) | 5.00538 | + | 5.00538i | 0.328619 | + | 0.328619i | ||||
\(233\) | −7.76709 | − | 3.95753i | −0.508839 | − | 0.259267i | 0.180670 | − | 0.983544i | \(-0.442174\pi\) |
−0.689509 | + | 0.724277i | \(0.742174\pi\) | |||||||
\(234\) | −0.300748 | + | 1.89885i | −0.0196605 | + | 0.124131i | ||||
\(235\) | 14.8948 | − | 2.35911i | 0.971633 | − | 0.153891i | ||||
\(236\) | 22.4395 | + | 16.3033i | 1.46069 | + | 1.06125i | ||||
\(237\) | − | 9.40955i | − | 0.611216i | ||||||
\(238\) | −1.83192 | + | 2.52142i | −0.118746 | + | 0.163439i | ||||
\(239\) | 10.4691 | + | 20.5467i | 0.677188 | + | 1.32906i | 0.932138 | + | 0.362102i | \(0.117941\pi\) |
−0.254950 | + | 0.966954i | \(0.582059\pi\) | |||||||
\(240\) | −6.40496 | + | 12.5704i | −0.413438 | + | 0.811418i | ||||
\(241\) | 3.16869 | + | 4.36133i | 0.204113 | + | 0.280938i | 0.898786 | − | 0.438389i | \(-0.144451\pi\) |
−0.694672 | + | 0.719326i | \(0.744451\pi\) | |||||||
\(242\) | −46.7204 | + | 33.9444i | −3.00330 | + | 2.18203i | ||||
\(243\) | 10.0982 | − | 10.0982i | 0.647802 | − | 0.647802i | ||||
\(244\) | 2.56892 | − | 0.834692i | 0.164458 | − | 0.0534357i | ||||
\(245\) | 2.89539 | 0.184980 | ||||||||
\(246\) | −22.8703 | − | 18.2906i | −1.45816 | − | 1.16616i | ||||
\(247\) | −1.12244 | −0.0714191 | ||||||||
\(248\) | −6.68362 | + | 2.17164i | −0.424411 | + | 0.137899i | ||||
\(249\) | 5.68886 | − | 5.68886i | 0.360517 | − | 0.360517i | ||||
\(250\) | −7.09820 | + | 5.15715i | −0.448930 | + | 0.326167i | ||||
\(251\) | −6.43570 | − | 8.85798i | −0.406218 | − | 0.559111i | 0.556073 | − | 0.831133i | \(-0.312307\pi\) |
−0.962291 | + | 0.272023i | \(0.912307\pi\) | |||||||
\(252\) | −4.41652 | + | 8.66791i | −0.278215 | + | 0.546027i | ||||
\(253\) | 11.0026 | + | 21.5939i | 0.691730 | + | 1.35760i | ||||
\(254\) | 23.1543 | − | 31.8692i | 1.45283 | − | 1.99965i | ||||
\(255\) | 3.66636i | 0.229597i | ||||||||
\(256\) | −0.946816 | − | 0.687902i | −0.0591760 | − | 0.0429939i | ||||
\(257\) | −11.7305 | + | 1.85792i | −0.731726 | + | 0.115894i | −0.511169 | − | 0.859480i | \(-0.670787\pi\) |
−0.220557 | + | 0.975374i | \(0.570787\pi\) | |||||||
\(258\) | −1.88122 | + | 11.8776i | −0.117120 | + | 0.739465i | ||||
\(259\) | 5.06713 | + | 2.58183i | 0.314856 | + | 0.160427i | ||||
\(260\) | 3.28196 | + | 3.28196i | 0.203539 | + | 0.203539i | ||||
\(261\) | −7.42021 | − | 1.17525i | −0.459299 | − | 0.0727459i | ||||
\(262\) | 9.03352 | − | 27.8023i | 0.558093 | − | 1.71763i | ||||
\(263\) | −1.09630 | − | 6.92176i | −0.0676007 | − | 0.426814i | −0.998158 | − | 0.0606678i | \(-0.980677\pi\) |
0.930557 | − | 0.366146i | \(-0.119323\pi\) | |||||||
\(264\) | −5.67297 | − | 17.4596i | −0.349147 | − | 1.07457i | ||||
\(265\) | 13.6856 | − | 6.97316i | 0.840699 | − | 0.428358i | ||||
\(266\) | −9.47372 | − | 3.07820i | −0.580871 | − | 0.188736i | ||||
\(267\) | −24.4434 | − | 7.94214i | −1.49591 | − | 0.486051i | ||||
\(268\) | −8.20066 | + | 4.17845i | −0.500935 | + | 0.255239i | ||||
\(269\) | 9.10933 | + | 28.0356i | 0.555406 | + | 1.70936i | 0.694869 | + | 0.719136i | \(0.255462\pi\) |
−0.139463 | + | 0.990227i | \(0.544538\pi\) | |||||||
\(270\) | −3.15976 | − | 19.9499i | −0.192297 | − | 1.21411i | ||||
\(271\) | −0.323450 | + | 0.995477i | −0.0196482 | + | 0.0604709i | −0.960400 | − | 0.278625i | \(-0.910121\pi\) |
0.940752 | + | 0.339096i | \(0.110121\pi\) | |||||||
\(272\) | −1.31934 | − | 0.208964i | −0.0799970 | − | 0.0126703i | ||||
\(273\) | −2.19134 | − | 2.19134i | −0.132626 | − | 0.132626i | ||||
\(274\) | −28.5611 | − | 14.5526i | −1.72544 | − | 0.879154i | ||||
\(275\) | 3.47475 | − | 21.9387i | 0.209535 | − | 1.32295i | ||||
\(276\) | −21.9089 | + | 3.47003i | −1.31876 | + | 0.208871i | ||||
\(277\) | 19.6390 | + | 14.2685i | 1.17999 | + | 0.857314i | 0.992171 | − | 0.124890i | \(-0.0398577\pi\) |
0.187820 | + | 0.982203i | \(0.439858\pi\) | |||||||
\(278\) | 1.36303i | 0.0817491i | ||||||||
\(279\) | 4.38399 | − | 6.03404i | 0.262462 | − | 0.361248i | ||||
\(280\) | 4.60346 | + | 9.03481i | 0.275110 | + | 0.539933i | ||||
\(281\) | −8.65174 | + | 16.9800i | −0.516120 | + | 1.01294i | 0.475002 | + | 0.879985i | \(0.342447\pi\) |
−0.991122 | + | 0.132957i | \(0.957553\pi\) | |||||||
\(282\) | 13.8127 | + | 19.0115i | 0.822532 | + | 1.13212i | ||||
\(283\) | 16.9992 | − | 12.3506i | 1.01050 | − | 0.734168i | 0.0461826 | − | 0.998933i | \(-0.485294\pi\) |
0.964313 | + | 0.264765i | \(0.0852944\pi\) | |||||||
\(284\) | 9.01092 | − | 9.01092i | 0.534700 | − | 0.534700i | ||||
\(285\) | −11.1447 | + | 3.62113i | −0.660154 | + | 0.214497i | ||||
\(286\) | 7.90207 | 0.467259 | ||||||||
\(287\) | 15.1420 | − | 4.15624i | 0.893801 | − | 0.245335i | ||||
\(288\) | −11.5258 | −0.679163 | ||||||||
\(289\) | 15.8378 | − | 5.14602i | 0.931636 | − | 0.302707i | ||||
\(290\) | −22.4930 | + | 22.4930i | −1.32083 | + | 1.32083i | ||||
\(291\) | −17.4108 | + | 12.6497i | −1.02064 | + | 0.741537i | ||||
\(292\) | −0.930418 | − | 1.28061i | −0.0544486 | − | 0.0749421i | ||||
\(293\) | 5.11758 | − | 10.0438i | 0.298972 | − | 0.586766i | −0.691834 | − | 0.722057i | \(-0.743197\pi\) |
0.990806 | + | 0.135291i | \(0.0431968\pi\) | |||||||
\(294\) | 2.04831 | + | 4.02004i | 0.119460 | + | 0.234453i | ||||
\(295\) | −18.0353 | + | 24.8235i | −1.05006 | + | 1.44528i | ||||
\(296\) | − | 3.26728i | − | 0.189907i | ||||||
\(297\) | −15.8629 | − | 11.5251i | −0.920460 | − | 0.668754i | ||||
\(298\) | 27.3776 | − | 4.33619i | 1.58594 | − | 0.251189i | ||||
\(299\) | 0.367692 | − | 2.32152i | 0.0212642 | − | 0.134257i | ||||
\(300\) | 18.1144 | + | 9.22973i | 1.04583 | + | 0.532879i | ||||
\(301\) | −4.55939 | − | 4.55939i | −0.262799 | − | 0.262799i | ||||
\(302\) | 28.9528 | + | 4.58567i | 1.66605 | + | 0.263876i | ||||
\(303\) | 2.90054 | − | 8.92694i | 0.166632 | − | 0.512839i | ||||
\(304\) | −0.667878 | − | 4.21681i | −0.0383054 | − | 0.241851i | ||||
\(305\) | 0.923368 | + | 2.84184i | 0.0528719 | + | 0.162723i | ||||
\(306\) | −1.69324 | + | 0.862748i | −0.0967960 | + | 0.0493200i | ||||
\(307\) | 8.99276 | + | 2.92192i | 0.513244 | + | 0.166763i | 0.554177 | − | 0.832399i | \(-0.313033\pi\) |
−0.0409331 | + | 0.999162i | \(0.513033\pi\) | |||||||
\(308\) | 38.0286 | + | 12.3563i | 2.16688 | + | 0.704063i | ||||
\(309\) | 0.407774 | − | 0.207771i | 0.0231974 | − | 0.0118197i | ||||
\(310\) | −9.75886 | − | 30.0347i | −0.554266 | − | 1.70585i | ||||
\(311\) | −2.64006 | − | 16.6687i | −0.149704 | − | 0.945195i | −0.942135 | − | 0.335234i | \(-0.891185\pi\) |
0.792431 | − | 0.609962i | \(-0.208815\pi\) | |||||||
\(312\) | −0.550189 | + | 1.69331i | −0.0311483 | + | 0.0958647i | ||||
\(313\) | −24.1931 | − | 3.83181i | −1.36747 | − | 0.216587i | −0.570846 | − | 0.821057i | \(-0.693385\pi\) |
−0.796628 | + | 0.604471i | \(0.793385\pi\) | |||||||
\(314\) | −6.38440 | − | 6.38440i | −0.360293 | − | 0.360293i | ||||
\(315\) | −9.58878 | − | 4.88573i | −0.540267 | − | 0.275280i | ||||
\(316\) | 1.84197 | − | 11.6297i | 0.103619 | − | 0.654223i | ||||
\(317\) | −9.70461 | + | 1.53706i | −0.545065 | + | 0.0863299i | −0.422894 | − | 0.906179i | \(-0.638986\pi\) |
−0.122171 | + | 0.992509i | \(0.538986\pi\) | |||||||
\(318\) | 19.3635 | + | 14.0684i | 1.08585 | + | 0.788915i | ||||
\(319\) | 30.8793i | 1.72891i | ||||||||
\(320\) | −20.8626 | + | 28.7149i | −1.16625 | + | 1.60521i | ||||
\(321\) | 15.2044 | + | 29.8403i | 0.848626 | + | 1.66552i | ||||
\(322\) | 9.46999 | − | 18.5859i | 0.527742 | − | 1.03575i | ||||
\(323\) | −0.652152 | − | 0.897611i | −0.0362867 | − | 0.0499444i | ||||
\(324\) | 24.1472 | − | 17.5440i | 1.34151 | − | 0.974665i | ||||
\(325\) | −1.52327 | + | 1.52327i | −0.0844959 | + | 0.0844959i | ||||
\(326\) | 34.7755 | − | 11.2992i | 1.92604 | − | 0.625807i | ||||
\(327\) | 12.6986 | 0.702236 | ||||||||
\(328\) | −6.07700 | − | 6.66712i | −0.335546 | − | 0.368130i | ||||
\(329\) | −12.6001 | −0.694664 | ||||||||
\(330\) | 78.4595 | − | 25.4930i | 4.31905 | − | 1.40335i | ||||
\(331\) | −14.3440 | + | 14.3440i | −0.788417 | + | 0.788417i | −0.981235 | − | 0.192818i | \(-0.938237\pi\) |
0.192818 | + | 0.981235i | \(0.438237\pi\) | |||||||
\(332\) | 8.14476 | − | 5.91752i | 0.447002 | − | 0.324766i | ||||
\(333\) | 2.03821 | + | 2.80536i | 0.111693 | + | 0.153733i | ||||
\(334\) | −25.0972 | + | 49.2560i | −1.37326 | + | 2.69517i | ||||
\(335\) | −4.62236 | − | 9.07189i | −0.252547 | − | 0.495651i | ||||
\(336\) | 6.92859 | − | 9.53639i | 0.377986 | − | 0.520253i | ||||
\(337\) | 8.81241i | 0.480043i | 0.970768 | + | 0.240021i | \(0.0771545\pi\) | ||||
−0.970768 | + | 0.240021i | \(0.922846\pi\) | |||||||
\(338\) | 22.0668 | + | 16.0325i | 1.20028 | + | 0.872051i | ||||
\(339\) | −38.2775 | + | 6.06257i | −2.07895 | + | 0.329273i | ||||
\(340\) | −0.717709 | + | 4.53144i | −0.0389233 | + | 0.245752i | ||||
\(341\) | −27.3151 | − | 13.9177i | −1.47919 | − | 0.753687i | ||||
\(342\) | −4.29485 | − | 4.29485i | −0.232239 | − | 0.232239i | ||||
\(343\) | −19.3437 | − | 3.06375i | −1.04446 | − | 0.165427i | ||||
\(344\) | −1.14474 | + | 3.52316i | −0.0617205 | + | 0.189956i | ||||
\(345\) | −3.83869 | − | 24.2365i | −0.206668 | − | 1.30485i | ||||
\(346\) | −4.55390 | − | 14.0155i | −0.244819 | − | 0.753477i | ||||
\(347\) | −4.18176 | + | 2.13071i | −0.224489 | + | 0.114383i | −0.562618 | − | 0.826717i | \(-0.690206\pi\) |
0.338129 | + | 0.941100i | \(0.390206\pi\) | |||||||
\(348\) | −26.8797 | − | 8.73374i | −1.44090 | − | 0.468178i | ||||
\(349\) | 12.3323 | + | 4.00699i | 0.660130 | + | 0.214489i | 0.619876 | − | 0.784700i | \(-0.287183\pi\) |
0.0402548 | + | 0.999189i | \(0.487183\pi\) | |||||||
\(350\) | −17.0343 | + | 8.67941i | −0.910522 | + | 0.463934i | ||||
\(351\) | 0.587637 | + | 1.80856i | 0.0313658 | + | 0.0965339i | ||||
\(352\) | 7.41094 | + | 46.7908i | 0.395005 | + | 2.49396i | ||||
\(353\) | 6.12880 | − | 18.8625i | 0.326203 | − | 1.00395i | −0.644692 | − | 0.764443i | \(-0.723014\pi\) |
0.970895 | − | 0.239507i | \(-0.0769857\pi\) | |||||||
\(354\) | −47.2245 | − | 7.47963i | −2.50996 | − | 0.397538i | ||||
\(355\) | 9.96824 | + | 9.96824i | 0.529059 | + | 0.529059i | ||||
\(356\) | −28.6561 | − | 14.6010i | −1.51877 | − | 0.773852i | ||||
\(357\) | 0.479209 | − | 3.02560i | 0.0253624 | − | 0.160132i | ||||
\(358\) | −33.3075 | + | 5.27540i | −1.76036 | + | 0.278813i | ||||
\(359\) | −1.27423 | − | 0.925784i | −0.0672514 | − | 0.0488610i | 0.553652 | − | 0.832748i | \(-0.313234\pi\) |
−0.620903 | + | 0.783887i | \(0.713234\pi\) | |||||||
\(360\) | 6.18283i | 0.325864i | ||||||||
\(361\) | −9.08355 | + | 12.5024i | −0.478081 | + | 0.658023i | ||||
\(362\) | −19.6256 | − | 38.5173i | −1.03150 | − | 2.02443i | ||||
\(363\) | 25.7692 | − | 50.5748i | 1.35253 | − | 2.65449i | ||||
\(364\) | −2.27942 | − | 3.13735i | −0.119474 | − | 0.164442i | ||||
\(365\) | 1.41666 | − | 1.02926i | 0.0741514 | − | 0.0538742i | ||||
\(366\) | −3.29246 | + | 3.29246i | −0.172100 | + | 0.172100i | ||||
\(367\) | −10.0426 | + | 3.26304i | −0.524219 | + | 0.170329i | −0.559159 | − | 0.829060i | \(-0.688876\pi\) |
0.0349400 | + | 0.999389i | \(0.488876\pi\) | |||||||
\(368\) | 8.94032 | 0.466046 | ||||||||
\(369\) | 9.37697 | + | 1.93355i | 0.488146 | + | 0.100657i | ||||
\(370\) | 14.6824 | 0.763301 | ||||||||
\(371\) | −12.2052 | + | 3.96572i | −0.633664 | + | 0.205890i | ||||
\(372\) | 19.8407 | − | 19.8407i | 1.02869 | − | 1.02869i | ||||
\(373\) | 28.7981 | − | 20.9230i | 1.49111 | − | 1.08335i | 0.517349 | − | 0.855774i | \(-0.326919\pi\) |
0.973760 | − | 0.227579i | \(-0.0730811\pi\) | |||||||
\(374\) | 4.59120 | + | 6.31925i | 0.237406 | + | 0.326761i | ||||
\(375\) | 3.91509 | − | 7.68380i | 0.202175 | − | 0.396790i | ||||
\(376\) | 3.28643 | + | 6.44998i | 0.169485 | + | 0.332632i | ||||
\(377\) | 1.76030 | − | 2.42285i | 0.0906601 | − | 0.124783i | ||||
\(378\) | 16.8763i | 0.868024i | ||||||||
\(379\) | −1.34011 | − | 0.973646i | −0.0688368 | − | 0.0500129i | 0.552835 | − | 0.833291i | \(-0.313546\pi\) |
−0.621671 | + | 0.783278i | \(0.713546\pi\) | |||||||
\(380\) | −14.4831 | + | 2.29390i | −0.742969 | + | 0.117675i | ||||
\(381\) | −6.05690 | + | 38.2418i | −0.310304 | + | 1.95918i | ||||
\(382\) | 11.9186 | + | 6.07281i | 0.609807 | + | 0.310712i | ||||
\(383\) | 6.91149 | + | 6.91149i | 0.353161 | + | 0.353161i | 0.861284 | − | 0.508123i | \(-0.169661\pi\) |
−0.508123 | + | 0.861284i | \(0.669661\pi\) | |||||||
\(384\) | −22.3438 | − | 3.53891i | −1.14023 | − | 0.180594i | ||||
\(385\) | −13.6690 | + | 42.0688i | −0.696635 | + | 2.14402i | ||||
\(386\) | −4.78641 | − | 30.2202i | −0.243622 | − | 1.53817i | ||||
\(387\) | −1.21494 | − | 3.73919i | −0.0617587 | − | 0.190074i | ||||
\(388\) | −23.9951 | + | 12.2261i | −1.21817 | + | 0.620687i | ||||
\(389\) | −15.4034 | − | 5.00488i | −0.780985 | − | 0.253757i | −0.108724 | − | 0.994072i | \(-0.534677\pi\) |
−0.672261 | + | 0.740314i | \(0.734677\pi\) | |||||||
\(390\) | −7.60934 | − | 2.47242i | −0.385314 | − | 0.125196i | ||||
\(391\) | 2.07014 | − | 1.05479i | 0.104692 | − | 0.0533430i | ||||
\(392\) | 0.429488 | + | 1.32183i | 0.0216924 | + | 0.0667624i | ||||
\(393\) | 4.49481 | + | 28.3791i | 0.226733 | + | 1.43154i | ||||
\(394\) | −6.12877 | + | 18.8624i | −0.308763 | + | 0.950274i | ||||
\(395\) | 12.8653 | + | 2.03766i | 0.647321 | + | 0.102526i | ||||
\(396\) | 17.2401 | + | 17.2401i | 0.866346 | + | 0.866346i | ||||
\(397\) | 16.0168 | + | 8.16099i | 0.803862 | + | 0.409588i | 0.807106 | − | 0.590407i | \(-0.201033\pi\) |
−0.00324401 | + | 0.999995i | \(0.501033\pi\) | |||||||
\(398\) | 3.00665 | − | 18.9833i | 0.150710 | − | 0.951545i | ||||
\(399\) | 9.67027 | − | 1.53162i | 0.484119 | − | 0.0766769i | ||||
\(400\) | −6.62905 | − | 4.81629i | −0.331453 | − | 0.240814i | ||||
\(401\) | − | 8.90016i | − | 0.444453i | −0.974995 | − | 0.222226i | \(-0.928668\pi\) | ||
0.974995 | − | 0.222226i | \(-0.0713324\pi\) | |||||||
\(402\) | 9.32563 | − | 12.8356i | 0.465120 | − | 0.640183i | ||||
\(403\) | 1.34980 | + | 2.64913i | 0.0672383 | + | 0.131963i | ||||
\(404\) | 5.33242 | − | 10.4655i | 0.265298 | − | 0.520676i | ||||
\(405\) | 19.4078 | + | 26.7126i | 0.964383 | + | 1.32736i | ||||
\(406\) | 21.5019 | − | 15.6220i | 1.06712 | − | 0.775309i | ||||
\(407\) | 10.0783 | − | 10.0783i | 0.499562 | − | 0.499562i | ||||
\(408\) | −1.67380 | + | 0.543850i | −0.0828654 | + | 0.0269246i | ||||
\(409\) | −31.3466 | −1.54999 | −0.774996 | − | 0.631966i | \(-0.782248\pi\) | ||||
−0.774996 | + | 0.631966i | \(0.782248\pi\) | |||||||
\(410\) | 29.9605 | − | 27.3086i | 1.47964 | − | 1.34868i | ||||
\(411\) | 31.5063 | 1.55409 | ||||||||
\(412\) | 0.544660 | − | 0.176971i | 0.0268335 | − | 0.00871873i | ||||
\(413\) | 18.1279 | − | 18.1279i | 0.892015 | − | 0.892015i | ||||
\(414\) | 10.2899 | − | 7.47602i | 0.505719 | − | 0.367426i | ||||
\(415\) | 6.54619 | + | 9.01005i | 0.321340 | + | 0.442286i | ||||
\(416\) | 2.08588 | − | 4.09377i | 0.102269 | − | 0.200713i | ||||
\(417\) | −0.608214 | − | 1.19369i | −0.0297844 | − | 0.0584551i | ||||
\(418\) | −14.6741 | + | 20.1972i | −0.717736 | + | 0.987879i | ||||
\(419\) | − | 7.90991i | − | 0.386424i | −0.981157 | − | 0.193212i | \(-0.938109\pi\) | ||
0.981157 | − | 0.193212i | \(-0.0618906\pi\) | |||||||
\(420\) | −32.7538 | − | 23.7970i | −1.59822 | − | 1.16118i | ||||
\(421\) | 16.1064 | − | 2.55101i | 0.784979 | − | 0.124329i | 0.248937 | − | 0.968520i | \(-0.419919\pi\) |
0.536042 | + | 0.844191i | \(0.319919\pi\) | |||||||
\(422\) | 0.842052 | − | 5.31651i | 0.0409905 | − | 0.258804i | ||||
\(423\) | −6.84547 | − | 3.48794i | −0.332838 | − | 0.169589i | ||||
\(424\) | 5.21350 | + | 5.21350i | 0.253190 | + | 0.253190i | ||||
\(425\) | −2.10320 | − | 0.333114i | −0.102020 | − | 0.0161584i | ||||
\(426\) | −6.78826 | + | 20.8921i | −0.328892 | + | 1.01223i | ||||
\(427\) | −0.390555 | − | 2.46587i | −0.0189003 | − | 0.119332i | ||||
\(428\) | 12.9505 | + | 39.8574i | 0.625984 | + | 1.92658i | ||||
\(429\) | −6.92032 | + | 3.52608i | −0.334116 | + | 0.170241i | ||||
\(430\) | −15.8323 | − | 5.14422i | −0.763500 | − | 0.248076i | ||||
\(431\) | 0.374602 | + | 0.121716i | 0.0180439 | + | 0.00586283i | 0.318025 | − | 0.948082i | \(-0.396980\pi\) |
−0.299981 | + | 0.953945i | \(0.596980\pi\) | |||||||
\(432\) | −6.44480 | + | 3.28379i | −0.310075 | + | 0.157991i | ||||
\(433\) | −5.34527 | − | 16.4510i | −0.256877 | − | 0.790587i | −0.993454 | − | 0.114233i | \(-0.963559\pi\) |
0.736577 | − | 0.676354i | \(-0.236441\pi\) | |||||||
\(434\) | 4.12768 | + | 26.0611i | 0.198135 | + | 1.25097i | ||||
\(435\) | 9.66160 | − | 29.7354i | 0.463238 | − | 1.42570i | ||||
\(436\) | 15.6949 | + | 2.48582i | 0.751648 | + | 0.119049i | ||||
\(437\) | 5.25086 | + | 5.25086i | 0.251183 | + | 0.251183i | ||||
\(438\) | 2.43126 | + | 1.23879i | 0.116170 | + | 0.0591917i | ||||
\(439\) | 0.0655373 | − | 0.413787i | 0.00312793 | − | 0.0197490i | −0.986075 | − | 0.166301i | \(-0.946818\pi\) |
0.989203 | + | 0.146552i | \(0.0468176\pi\) | |||||||
\(440\) | 25.1003 | − | 3.97549i | 1.19661 | − | 0.189524i | ||||
\(441\) | −1.19336 | − | 0.867025i | −0.0568266 | − | 0.0412869i | ||||
\(442\) | − | 0.757546i | − | 0.0360328i | ||||||
\(443\) | −15.5288 | + | 21.3736i | −0.737796 | + | 1.01549i | 0.260947 | + | 0.965353i | \(0.415965\pi\) |
−0.998742 | + | 0.0501355i | \(0.984035\pi\) | |||||||
\(444\) | 5.92242 | + | 11.6234i | 0.281065 | + | 0.551622i | ||||
\(445\) | 16.1522 | − | 31.7005i | 0.765688 | − | 1.50275i | ||||
\(446\) | 31.4345 | + | 43.2659i | 1.48847 | + | 2.04870i | ||||
\(447\) | −22.0413 | + | 16.0140i | −1.04252 | + | 0.757435i | ||||
\(448\) | 20.9697 | − | 20.9697i | 0.990723 | − | 0.990723i | ||||
\(449\) | 22.1252 | − | 7.18892i | 1.04415 | − | 0.339266i | 0.263783 | − | 0.964582i | \(-0.415030\pi\) |
0.780372 | + | 0.625316i | \(0.215030\pi\) | |||||||
\(450\) | −11.6572 | −0.549524 | ||||||||
\(451\) | 1.82028 | − | 39.3107i | 0.0857138 | − | 1.85107i | ||||
\(452\) | −48.4959 | −2.28105 | ||||||||
\(453\) | −27.4019 | + | 8.90343i | −1.28746 | + | 0.418320i | ||||
\(454\) | −3.49138 | + | 3.49138i | −0.163858 | + | 0.163858i | ||||
\(455\) | 3.47066 | − | 2.52158i | 0.162707 | − | 0.118214i | ||||
\(456\) | −3.30630 | − | 4.55073i | −0.154832 | − | 0.213107i | ||||
\(457\) | −4.13792 | + | 8.12113i | −0.193564 | + | 0.379890i | −0.967307 | − | 0.253609i | \(-0.918382\pi\) |
0.773743 | + | 0.633500i | \(0.218382\pi\) | |||||||
\(458\) | 20.5865 | + | 40.4032i | 0.961942 | + | 1.88792i | ||||
\(459\) | −1.10487 | + | 1.52073i | −0.0515711 | + | 0.0709816i | ||||
\(460\) | − | 30.7065i | − | 1.43170i | ||||||
\(461\) | −31.8495 | − | 23.1400i | −1.48338 | − | 1.07774i | −0.976449 | − | 0.215749i | \(-0.930781\pi\) |
−0.506929 | − | 0.861988i | \(-0.669219\pi\) | |||||||
\(462\) | −68.0794 | + | 10.7827i | −3.16734 | + | 0.501658i | ||||
\(463\) | 2.77611 | − | 17.5277i | 0.129017 | − | 0.814580i | −0.835293 | − | 0.549805i | \(-0.814702\pi\) |
0.964310 | − | 0.264776i | \(-0.0852979\pi\) | |||||||
\(464\) | 10.1496 | + | 5.17150i | 0.471185 | + | 0.240081i | ||||
\(465\) | 21.9486 | + | 21.9486i | 1.01784 | + | 1.01784i | ||||
\(466\) | 18.5725 | + | 2.94159i | 0.860353 | + | 0.136267i | ||||
\(467\) | 1.24330 | − | 3.82647i | 0.0575329 | − | 0.177068i | −0.918160 | − | 0.396209i | \(-0.870326\pi\) |
0.975693 | + | 0.219141i | \(0.0703255\pi\) | |||||||
\(468\) | −0.369903 | − | 2.33547i | −0.0170988 | − | 0.107957i | ||||
\(469\) | 2.62879 | + | 8.09059i | 0.121386 | + | 0.373589i | ||||
\(470\) | −28.9847 | + | 14.7685i | −1.33697 | + | 0.681218i | ||||
\(471\) | 8.44007 | + | 2.74234i | 0.388898 | + | 0.126361i | ||||
\(472\) | −14.0079 | − | 4.55144i | −0.644766 | − | 0.209497i | ||||
\(473\) | −14.3987 | + | 7.33649i | −0.662052 | + | 0.337332i | ||||
\(474\) | 6.27225 | + | 19.3040i | 0.288094 | + | 0.886662i | ||||
\(475\) | −1.06468 | − | 6.72212i | −0.0488508 | − | 0.308432i | ||||
\(476\) | 1.18456 | − | 3.64569i | 0.0542940 | − | 0.167100i | ||||
\(477\) | −7.72874 | − | 1.22411i | −0.353875 | − | 0.0560482i | ||||
\(478\) | −35.1738 | − | 35.1738i | −1.60881 | − | 1.60881i | ||||
\(479\) | 16.7284 | + | 8.52355i | 0.764340 | + | 0.389451i | 0.792279 | − | 0.610159i | \(-0.208894\pi\) |
−0.0279388 | + | 0.999610i | \(0.508894\pi\) | |||||||
\(480\) | 7.50366 | − | 47.3762i | 0.342494 | − | 2.16242i | ||||
\(481\) | −1.36528 | + | 0.216240i | −0.0622515 | + | 0.00985967i | ||||
\(482\) | −9.40786 | − | 6.83521i | −0.428516 | − | 0.311335i | ||||
\(483\) | 20.5025i | 0.932896i | ||||||||
\(484\) | 41.7497 | − | 57.4635i | 1.89771 | − | 2.61198i | ||||
\(485\) | −13.5250 | − | 26.5443i | −0.614139 | − | 1.20532i | ||||
\(486\) | −13.9856 | + | 27.4482i | −0.634398 | + | 1.24508i | ||||
\(487\) | 3.29322 | + | 4.53273i | 0.149230 | + | 0.205398i | 0.877087 | − | 0.480331i | \(-0.159484\pi\) |
−0.727857 | + | 0.685729i | \(0.759484\pi\) | |||||||
\(488\) | −1.16041 | + | 0.843088i | −0.0525293 | + | 0.0381648i | ||||
\(489\) | −25.4130 | + | 25.4130i | −1.14922 | + | 1.14922i | ||||
\(490\) | −5.93999 | + | 1.93002i | −0.268341 | + | 0.0871894i | ||||
\(491\) | 31.8490 | 1.43733 | 0.718663 | − | 0.695358i | \(-0.244754\pi\) | ||||
0.718663 | + | 0.695358i | \(0.244754\pi\) | |||||||
\(492\) | 33.7042 | + | 12.7029i | 1.51950 | + | 0.572693i | ||||
\(493\) | 2.96030 | 0.133325 | ||||||||
\(494\) | 2.30272 | − | 0.748200i | 0.103604 | − | 0.0336631i | ||||
\(495\) | −19.0716 | + | 19.0716i | −0.857206 | + | 0.857206i | ||||
\(496\) | −9.14916 | + | 6.64726i | −0.410810 | + | 0.298471i | ||||
\(497\) | −6.92323 | − | 9.52901i | −0.310549 | − | 0.427434i | ||||
\(498\) | −7.87878 | + | 15.4630i | −0.353057 | + | 0.692913i | ||||
\(499\) | 1.89386 | + | 3.71692i | 0.0847810 | + | 0.166392i | 0.929504 | − | 0.368811i | \(-0.120235\pi\) |
−0.844723 | + | 0.535203i | \(0.820235\pi\) | |||||||
\(500\) | 6.34300 | − | 8.73039i | 0.283668 | − | 0.390435i | ||||
\(501\) | − | 54.3354i | − | 2.42753i | ||||||
\(502\) | 19.1076 | + | 13.8825i | 0.852816 | + | 0.619607i | ||||
\(503\) | −3.67805 | + | 0.582545i | −0.163996 | + | 0.0259744i | −0.237892 | − | 0.971292i | \(-0.576457\pi\) |
0.0738965 | + | 0.997266i | \(0.476457\pi\) | |||||||
\(504\) | 0.808122 | − | 5.10228i | 0.0359966 | − | 0.227274i | ||||
\(505\) | 11.5773 | + | 5.89893i | 0.515183 | + | 0.262499i | ||||
\(506\) | −36.9664 | − | 36.9664i | −1.64336 | − | 1.64336i | ||||
\(507\) | −26.4793 | − | 4.19390i | −1.17599 | − | 0.186258i | ||||
\(508\) | −14.9720 | + | 46.0792i | −0.664277 | + | 2.04443i | ||||
\(509\) | 4.30277 | + | 27.1666i | 0.190717 | + | 1.20414i | 0.878328 | + | 0.478059i | \(0.158659\pi\) |
−0.687611 | + | 0.726079i | \(0.741341\pi\) | |||||||
\(510\) | −2.44394 | − | 7.52167i | −0.108219 | − | 0.333065i | ||||
\(511\) | −1.30361 | + | 0.664220i | −0.0576681 | + | 0.0293834i | ||||
\(512\) | 22.6963 | + | 7.37449i | 1.00305 | + | 0.325909i | ||||
\(513\) | −5.71382 | − | 1.85653i | −0.252271 | − | 0.0819680i | ||||
\(514\) | 22.8270 | − | 11.6309i | 1.00685 | − | 0.513018i | ||||
\(515\) | 0.195772 | + | 0.602524i | 0.00862674 | + | 0.0265504i | ||||
\(516\) | −2.31380 | − | 14.6087i | −0.101859 | − | 0.643113i | ||||
\(517\) | −9.75833 | + | 30.0330i | −0.429171 | + | 1.32085i | ||||
\(518\) | −12.1164 | − | 1.91905i | −0.532364 | − | 0.0843182i | ||||
\(519\) | 10.2421 | + | 10.2421i | 0.449580 | + | 0.449580i | ||||
\(520\) | −2.19604 | − | 1.11894i | −0.0963027 | − | 0.0490687i | ||||
\(521\) | −0.365315 | + | 2.30651i | −0.0160047 | + | 0.101050i | −0.994398 | − | 0.105705i | \(-0.966290\pi\) |
0.978393 | + | 0.206755i | \(0.0662902\pi\) | |||||||
\(522\) | 16.0062 | − | 2.53513i | 0.700573 | − | 0.110960i | ||||
\(523\) | 10.9719 | + | 7.97156i | 0.479768 | + | 0.348572i | 0.801236 | − | 0.598349i | \(-0.204176\pi\) |
−0.321468 | + | 0.946921i | \(0.604176\pi\) | |||||||
\(524\) | 35.9551i | 1.57070i | ||||||||
\(525\) | 11.0450 | − | 15.2022i | 0.482044 | − | 0.663477i | ||||
\(526\) | 6.86303 | + | 13.4695i | 0.299242 | + | 0.587296i | ||||
\(527\) | −1.33425 | + | 2.61861i | −0.0581207 | + | 0.114068i | ||||
\(528\) | −17.3646 | − | 23.9003i | −0.755698 | − | 1.04013i | ||||
\(529\) | 6.02708 | − | 4.37893i | 0.262047 | − | 0.190388i | ||||
\(530\) | −23.4283 | + | 23.4283i | −1.01766 | + | 1.01766i | ||||
\(531\) | 14.8668 | − | 4.83052i | 0.645165 | − | 0.209627i | ||||
\(532\) | 12.2518 | 0.531182 | ||||||||
\(533\) | −2.38376 | + | 2.98062i | −0.103252 | + | 0.129105i | ||||
\(534\) | 55.4406 | 2.39915 | ||||||||
\(535\) | −44.0918 | + | 14.3263i | −1.90626 | + | 0.619380i | ||||
\(536\) | 3.45592 | − | 3.45592i | 0.149273 | − | 0.149273i | ||||
\(537\) | 26.8154 | − | 19.4825i | 1.15717 | − | 0.840734i | ||||
\(538\) | −37.3762 | − | 51.4439i | −1.61140 | − | 2.21791i | ||||
\(539\) | −2.75252 | + | 5.40213i | −0.118559 | + | 0.232686i | ||||
\(540\) | 11.2785 | + | 22.1354i | 0.485351 | + | 0.952556i | ||||
\(541\) | 20.2273 | − | 27.8405i | 0.869640 | − | 1.19696i | −0.109544 | − | 0.993982i | \(-0.534939\pi\) |
0.979184 | − | 0.202974i | \(-0.0650608\pi\) | |||||||
\(542\) | − | 2.25786i | − | 0.0969835i | ||||||
\(543\) | 34.3746 | + | 24.9746i | 1.47515 | + | 1.07176i | ||||
\(544\) | 4.48569 | − | 0.710464i | 0.192322 | − | 0.0304609i | ||||
\(545\) | −2.74991 | + | 17.3623i | −0.117793 | + | 0.743718i | ||||
\(546\) | 5.95632 | + | 3.03490i | 0.254907 | + | 0.129882i | ||||
\(547\) | −4.29151 | − | 4.29151i | −0.183492 | − | 0.183492i | 0.609384 | − | 0.792875i | \(-0.291417\pi\) |
−0.792875 | + | 0.609384i | \(0.791417\pi\) | |||||||
\(548\) | 38.9402 | + | 6.16753i | 1.66344 | + | 0.263464i | ||||
\(549\) | 0.470415 | − | 1.44779i | 0.0200768 | − | 0.0617901i | ||||
\(550\) | 7.49542 | + | 47.3242i | 0.319606 | + | 2.01791i | ||||
\(551\) | 2.92378 | + | 8.99846i | 0.124557 | + | 0.383347i | ||||
\(552\) | 10.4952 | − | 5.34759i | 0.446707 | − | 0.227609i | ||||
\(553\) | −10.3505 | − | 3.36308i | −0.440148 | − | 0.143013i | ||||
\(554\) | −49.8012 | − | 16.1814i | −2.11585 | − | 0.687481i | ||||
\(555\) | −12.8583 | + | 6.55161i | −0.545803 | + | 0.278100i | ||||
\(556\) | −0.518051 | − | 1.59440i | −0.0219703 | − | 0.0676175i | ||||
\(557\) | −1.52108 | − | 9.60372i | −0.0644502 | − | 0.406923i | −0.998730 | − | 0.0503819i | \(-0.983956\pi\) |
0.934280 | − | 0.356541i | \(-0.116044\pi\) | |||||||
\(558\) | −4.97170 | + | 15.3013i | −0.210469 | + | 0.647757i | ||||
\(559\) | 1.54797 | + | 0.245175i | 0.0654722 | + | 0.0103698i | ||||
\(560\) | 11.5383 | + | 11.5383i | 0.487581 | + | 0.487581i | ||||
\(561\) | −6.84058 | − | 3.48545i | −0.288810 | − | 0.147156i | ||||
\(562\) | 6.43075 | − | 40.6021i | 0.271265 | − | 1.71270i | ||||
\(563\) | −19.5048 | + | 3.08926i | −0.822030 | + | 0.130197i | −0.553261 | − | 0.833008i | \(-0.686617\pi\) |
−0.268769 | + | 0.963205i | \(0.586617\pi\) | |||||||
\(564\) | −23.3831 | − | 16.9888i | −0.984605 | − | 0.715357i | ||||
\(565\) | − | 53.6480i | − | 2.25699i | ||||||
\(566\) | −26.6416 | + | 36.6691i | −1.11983 | + | 1.54132i | ||||
\(567\) | −12.5245 | − | 24.5808i | −0.525981 | − | 1.03230i | ||||
\(568\) | −3.07214 | + | 6.02942i | −0.128904 | + | 0.252989i | ||||
\(569\) | −21.8076 | − | 30.0155i | −0.914220 | − | 1.25832i | −0.965705 | − | 0.259643i | \(-0.916395\pi\) |
0.0514845 | − | 0.998674i | \(-0.483605\pi\) | |||||||
\(570\) | 20.4499 | − | 14.8577i | 0.856553 | − | 0.622322i | ||||
\(571\) | 9.74733 | − | 9.74733i | 0.407913 | − | 0.407913i | −0.473097 | − | 0.881010i | \(-0.656864\pi\) |
0.881010 | + | 0.473097i | \(0.156864\pi\) | |||||||
\(572\) | −9.24341 | + | 3.00337i | −0.386486 | + | 0.125577i | ||||
\(573\) | −13.1476 | −0.549250 | ||||||||
\(574\) | −28.2938 | + | 18.6200i | −1.18096 | + | 0.777186i | ||||
\(575\) | 14.2520 | 0.594348 | ||||||||
\(576\) | 17.1974 | − | 5.58776i | 0.716557 | − | 0.232823i | ||||
\(577\) | 4.93444 | − | 4.93444i | 0.205423 | − | 0.205423i | −0.596895 | − | 0.802319i | \(-0.703599\pi\) |
0.802319 | + | 0.596895i | \(0.203599\pi\) | |||||||
\(578\) | −29.0616 | + | 21.1145i | −1.20880 | + | 0.878245i | ||||
\(579\) | 17.6767 | + | 24.3299i | 0.734618 | + | 1.01112i | ||||
\(580\) | 17.7621 | − | 34.8601i | 0.737531 | − | 1.44749i | ||||
\(581\) | −4.22448 | − | 8.29101i | −0.175261 | − | 0.343969i | ||||
\(582\) | 27.2868 | − | 37.5570i | 1.13107 | − | 1.55679i | ||||
\(583\) | 32.1632i | 1.33206i | ||||||||
\(584\) | 0.680029 | + | 0.494070i | 0.0281398 | + | 0.0204448i | ||||
\(585\) | 2.58359 | − | 0.409201i | 0.106818 | − | 0.0169184i | ||||
\(586\) | −3.80385 | + | 24.0165i | −0.157135 | + | 0.992114i | ||||
\(587\) | 0.548784 | + | 0.279619i | 0.0226507 | + | 0.0115411i | 0.465279 | − | 0.885164i | \(-0.345954\pi\) |
−0.442628 | + | 0.896705i | \(0.645954\pi\) | |||||||
\(588\) | −3.92392 | − | 3.92392i | −0.161820 | − | 0.161820i | ||||
\(589\) | −9.27760 | − | 1.46943i | −0.382277 | − | 0.0605467i | ||||
\(590\) | 20.4531 | − | 62.9483i | 0.842042 | − | 2.59154i | ||||
\(591\) | −3.04949 | − | 19.2537i | −0.125439 | − | 0.791993i | ||||
\(592\) | −1.62475 | − | 5.00046i | −0.0667768 | − | 0.205518i | ||||
\(593\) | 38.3541 | − | 19.5424i | 1.57501 | − | 0.802509i | 0.575134 | − | 0.818059i | \(-0.304950\pi\) |
0.999879 | + | 0.0155502i | \(0.00495000\pi\) | |||||||
\(594\) | 40.2258 | + | 13.0701i | 1.65048 | + | 0.536275i | ||||
\(595\) | 4.03300 | + | 1.31040i | 0.165337 | + | 0.0537212i | ||||
\(596\) | −30.3768 | + | 15.4778i | −1.24428 | + | 0.633994i | ||||
\(597\) | 5.83765 | + | 17.9664i | 0.238919 | + | 0.735317i | ||||
\(598\) | 0.793152 | + | 5.00776i | 0.0324344 | + | 0.204783i | ||||
\(599\) | −13.1007 | + | 40.3197i | −0.535278 | + | 1.64742i | 0.207769 | + | 0.978178i | \(0.433380\pi\) |
−0.743047 | + | 0.669239i | \(0.766620\pi\) | |||||||
\(600\) | −10.6628 | − | 1.68883i | −0.435308 | − | 0.0689461i | ||||
\(601\) | 13.3208 | + | 13.3208i | 0.543365 | + | 0.543365i | 0.924514 | − | 0.381148i | \(-0.124471\pi\) |
−0.381148 | + | 0.924514i | \(0.624471\pi\) | |||||||
\(602\) | 12.3930 | + | 6.31452i | 0.505099 | + | 0.257361i | ||||
\(603\) | −0.811439 | + | 5.12322i | −0.0330443 | + | 0.208634i | ||||
\(604\) | −35.6103 | + | 5.64012i | −1.44896 | + | 0.229493i | ||||
\(605\) | 63.5683 | + | 46.1851i | 2.58442 | + | 1.87769i | ||||
\(606\) | 20.2474i | 0.822493i | ||||||||
\(607\) | 13.4407 | − | 18.4996i | 0.545543 | − | 0.750875i | −0.443856 | − | 0.896098i | \(-0.646390\pi\) |
0.989399 | + | 0.145223i | \(0.0463899\pi\) | |||||||
\(608\) | 6.58996 | + | 12.9335i | 0.267258 | + | 0.524523i | ||||
\(609\) | −11.8596 | + | 23.2758i | −0.480576 | + | 0.943183i | ||||
\(610\) | −3.78864 | − | 5.21462i | −0.153398 | − | 0.211134i | ||||
\(611\) | 2.47772 | − | 1.80017i | 0.100238 | − | 0.0728270i | ||||
\(612\) | 1.65275 | − | 1.65275i | 0.0668085 | − | 0.0668085i | ||||
\(613\) | −24.0488 | + | 7.81393i | −0.971322 | + | 0.315602i | −0.751350 | − | 0.659904i | \(-0.770597\pi\) |
−0.219973 | + | 0.975506i | \(0.570597\pi\) | |||||||
\(614\) | −20.3967 | −0.823142 | ||||||||
\(615\) | −14.0525 | + | 37.2849i | −0.566651 | + | 1.50347i | ||||
\(616\) | −21.2332 | −0.855509 | ||||||||
\(617\) | 16.1405 | − | 5.24436i | 0.649791 | − | 0.211130i | 0.0344691 | − | 0.999406i | \(-0.489026\pi\) |
0.615322 | + | 0.788276i | \(0.289026\pi\) | |||||||
\(618\) | −0.698065 | + | 0.698065i | −0.0280803 | + | 0.0280803i | ||||
\(619\) | 33.6865 | − | 24.4747i | 1.35397 | − | 0.983720i | 0.355171 | − | 0.934801i | \(-0.384423\pi\) |
0.998803 | − | 0.0489186i | \(-0.0155775\pi\) | |||||||
\(620\) | 22.8308 | + | 31.4239i | 0.916906 | + | 1.26201i | ||||
\(621\) | 5.71157 | − | 11.2096i | 0.229198 | − | 0.449826i | ||||
\(622\) | 16.5273 | + | 32.4366i | 0.662683 | + | 1.30059i | ||||
\(623\) | −17.4727 | + | 24.0491i | −0.700030 | + | 0.963509i | ||||
\(624\) | 2.86515i | 0.114698i | ||||||||
\(625\) | 24.2775 | + | 17.6386i | 0.971100 | + | 0.705545i | ||||
\(626\) | 52.1871 | − | 8.26563i | 2.08582 | − | 0.330361i | ||||
\(627\) | 3.83858 | − | 24.2359i | 0.153298 | − | 0.967887i | ||||
\(628\) | 9.89467 | + | 5.04159i | 0.394840 | + | 0.201181i | ||||
\(629\) | −0.966173 | − | 0.966173i | −0.0385238 | − | 0.0385238i | ||||
\(630\) | 22.9285 | + | 3.63151i | 0.913492 | + | 0.144683i | ||||
\(631\) | 7.59021 | − | 23.3602i | 0.302161 | − | 0.929957i | −0.678560 | − | 0.734545i | \(-0.737396\pi\) |
0.980721 | − | 0.195412i | \(-0.0626044\pi\) | |||||||
\(632\) | 0.978121 | + | 6.17561i | 0.0389076 | + | 0.245653i | ||||
\(633\) | 1.63491 | + | 5.03173i | 0.0649818 | + | 0.199993i | ||||
\(634\) | 18.8848 | − | 9.62227i | 0.750010 | − | 0.382149i | ||||
\(635\) | −50.9746 | − | 16.5627i | −2.02287 | − | 0.657269i | ||||
\(636\) | −27.9973 | − | 9.09689i | −1.11017 | − | 0.360715i | ||||
\(637\) | 0.523921 | − | 0.266951i | 0.0207585 | − | 0.0105770i | ||||
\(638\) | −20.5836 | − | 63.3499i | −0.814913 | − | 2.50805i | ||||
\(639\) | −1.12350 | − | 7.09348i | −0.0444449 | − | 0.280614i | ||||
\(640\) | 9.67720 | − | 29.7833i | 0.382525 | − | 1.17729i | ||||
\(641\) | 22.7389 | + | 3.60148i | 0.898131 | + | 0.142250i | 0.588396 | − | 0.808573i | \(-0.299760\pi\) |
0.309735 | + | 0.950823i | \(0.399760\pi\) | |||||||
\(642\) | −51.0834 | − | 51.0834i | −2.01610 | − | 2.01610i | ||||
\(643\) | −21.2226 | − | 10.8135i | −0.836939 | − | 0.426442i | −0.0176649 | − | 0.999844i | \(-0.505623\pi\) |
−0.819274 | + | 0.573402i | \(0.805623\pi\) | |||||||
\(644\) | −4.01347 | + | 25.3401i | −0.158153 | + | 0.998539i | ||||
\(645\) | 16.1607 | − | 2.55961i | 0.636329 | − | 0.100785i | ||||
\(646\) | 1.93625 | + | 1.40676i | 0.0761805 | + | 0.0553484i | ||||
\(647\) | 19.1223i | 0.751777i | 0.926665 | + | 0.375889i | \(0.122662\pi\) | ||||
−0.926665 | + | 0.375889i | \(0.877338\pi\) | |||||||
\(648\) | −9.31619 | + | 12.8226i | −0.365975 | + | 0.503721i | ||||
\(649\) | −29.1695 | − | 57.2484i | −1.14500 | − | 2.24720i | ||||
\(650\) | 2.10966 | − | 4.14043i | 0.0827475 | − | 0.162401i | ||||
\(651\) | −15.2439 | − | 20.9814i | −0.597456 | − | 0.822328i | ||||
\(652\) | −36.3839 | + | 26.4345i | −1.42491 | + | 1.03525i | ||||
\(653\) | −25.5620 | + | 25.5620i | −1.00032 | + | 1.00032i | −0.000318893 | 1.00000i | \(0.500102\pi\) | |
−1.00000 | 0.000318893i | \(0.999898\pi\) | ||||||||
\(654\) | −26.0517 | + | 8.46470i | −1.01870 | + | 0.330996i | ||||
\(655\) | −39.7749 | −1.55413 | ||||||||
\(656\) | −12.6161 | − | 7.18185i | −0.492575 | − | 0.280404i | ||||
\(657\) | −0.892102 | −0.0348042 | ||||||||
\(658\) | 25.8495 | − | 8.39900i | 1.00772 | − | 0.327427i | ||||
\(659\) | −14.3256 | + | 14.3256i | −0.558044 | + | 0.558044i | −0.928750 | − | 0.370706i | \(-0.879116\pi\) |
0.370706 | + | 0.928750i | \(0.379116\pi\) | |||||||
\(660\) | −82.0884 | + | 59.6407i | −3.19529 | + | 2.32151i | ||||
\(661\) | −5.30607 | − | 7.30318i | −0.206382 | − | 0.284061i | 0.693261 | − | 0.720687i | \(-0.256173\pi\) |
−0.899643 | + | 0.436626i | \(0.856173\pi\) | |||||||
\(662\) | 19.8657 | − | 38.9886i | 0.772103 | − | 1.51534i | ||||
\(663\) | 0.338034 | + | 0.663429i | 0.0131282 | + | 0.0257654i | ||||
\(664\) | −3.14232 | + | 4.32503i | −0.121946 | + | 0.167844i | ||||
\(665\) | 13.5534i | 0.525578i | ||||||||
\(666\) | −6.05147 | − | 4.39665i | −0.234490 | − | 0.170367i | ||||
\(667\) | −19.5691 | + | 3.09944i | −0.757718 | + | 0.120011i | ||||
\(668\) | 10.6364 | − | 67.1558i | 0.411536 | − | 2.59834i | ||||
\(669\) | −46.8353 | − | 23.8638i | −1.81076 | − | 0.922627i | ||||
\(670\) | 15.5301 | + | 15.5301i | 0.599980 | + | 0.599980i | ||||
\(671\) | −6.18002 | − | 0.978818i | −0.238577 | − | 0.0377869i | ||||
\(672\) | −12.3845 | + | 38.1157i | −0.477744 | + | 1.47035i | ||||
\(673\) | 1.11504 | + | 7.04008i | 0.0429816 | + | 0.271375i | 0.999814 | − | 0.0192636i | \(-0.00613217\pi\) |
−0.956833 | + | 0.290639i | \(0.906132\pi\) | |||||||
\(674\) | −5.87421 | − | 18.0790i | −0.226266 | − | 0.696376i | ||||
\(675\) | −10.2738 | + | 5.23476i | −0.395438 | + | 0.201486i | ||||
\(676\) | −31.9061 | − | 10.3669i | −1.22716 | − | 0.398727i | ||||
\(677\) | 14.9246 | + | 4.84928i | 0.573597 | + | 0.186373i | 0.581430 | − | 0.813596i | \(-0.302493\pi\) |
−0.00783293 | + | 0.999969i | \(0.502493\pi\) | |||||||
\(678\) | 74.4864 | − | 37.9527i | 2.86063 | − | 1.45757i | ||||
\(679\) | 7.69183 | + | 23.6730i | 0.295185 | + | 0.908487i | ||||
\(680\) | −0.381118 | − | 2.40628i | −0.0146152 | − | 0.0922767i | ||||
\(681\) | 1.49968 | − | 4.61554i | 0.0574679 | − | 0.176868i | ||||
\(682\) | 65.3151 | + | 10.3449i | 2.50104 | + | 0.396126i | ||||
\(683\) | 19.3845 | + | 19.3845i | 0.741729 | + | 0.741729i | 0.972911 | − | 0.231182i | \(-0.0742591\pi\) |
−0.231182 | + | 0.972911i | \(0.574259\pi\) | |||||||
\(684\) | 6.65625 | + | 3.39153i | 0.254508 | + | 0.129678i | ||||
\(685\) | −6.82276 | + | 43.0772i | −0.260684 | + | 1.64590i | ||||
\(686\) | 41.7266 | − | 6.60884i | 1.59313 | − | 0.252327i | ||||
\(687\) | −36.0576 | − | 26.1974i | −1.37568 | − | 0.999493i | ||||
\(688\) | 5.96135i | 0.227274i | ||||||||
\(689\) | 1.83349 | − | 2.52359i | 0.0698506 | − | 0.0961411i | ||||
\(690\) | 24.0309 | + | 47.1632i | 0.914839 | + | 1.79547i | ||||
\(691\) | −15.4816 | + | 30.3844i | −0.588948 | + | 1.15588i | 0.383671 | + | 0.923470i | \(0.374660\pi\) |
−0.972619 | + | 0.232406i | \(0.925340\pi\) | |||||||
\(692\) | 10.6538 | + | 14.6637i | 0.404998 | + | 0.557431i | ||||
\(693\) | 18.2313 | − | 13.2458i | 0.692549 | − | 0.503167i | ||||
\(694\) | 7.15872 | − | 7.15872i | 0.271741 | − | 0.271741i | ||||
\(695\) | 1.76379 | − | 0.573089i | 0.0669042 | − | 0.0217385i | ||||
\(696\) | 15.0082 | 0.568884 | ||||||||
\(697\) | −3.76859 | − | 0.174505i | −0.142746 | − | 0.00660984i | ||||
\(698\) | −27.9710 | −1.05872 | ||||||||
\(699\) | −17.5776 | + | 5.71132i | −0.664848 | + | 0.216022i | ||||
\(700\) | 16.6270 | − | 16.6270i | 0.628441 | − | 0.628441i | ||||
\(701\) | −21.2988 | + | 15.4745i | −0.804445 | + | 0.584464i | −0.912215 | − | 0.409712i | \(-0.865629\pi\) |
0.107769 | + | 0.994176i | \(0.465629\pi\) | |||||||
\(702\) | −2.41112 | − | 3.31862i | −0.0910017 | − | 0.125253i | ||||
\(703\) | 1.98264 | − | 3.89114i | 0.0747765 | − | 0.146757i | ||||
\(704\) | −33.7422 | − | 66.2228i | −1.27171 | − | 2.49586i | ||||
\(705\) | 18.7937 | − | 25.8673i | 0.707810 | − | 0.974218i | ||||
\(706\) | 42.7824i | 1.61014i | ||||||||
\(707\) | −8.78296 | − | 6.38119i | −0.330317 | − | 0.239989i | ||||
\(708\) | 58.0835 | − | 9.19953i | 2.18291 | − | 0.345739i | ||||
\(709\) | 1.29513 | − | 8.17714i | 0.0486397 | − | 0.307099i | −0.951360 | − | 0.308082i | \(-0.900313\pi\) |
1.00000 | 0.000982939i | \(0.000312879\pi\) | ||||||||
\(710\) | −27.0948 | − | 13.8055i | −1.01685 | − | 0.518111i | ||||
\(711\) | −4.69234 | − | 4.69234i | −0.175977 | − | 0.175977i | ||||
\(712\) | 16.8681 | + | 2.67165i | 0.632160 | + | 0.100124i | ||||
\(713\) | 6.07837 | − | 18.7073i | 0.227637 | − | 0.700593i | ||||
\(714\) | 1.03371 | + | 6.52656i | 0.0386855 | + | 0.244250i | ||||
\(715\) | −3.32244 | − | 10.2254i | −0.124252 | − | 0.382409i | ||||
\(716\) | 36.9563 | − | 18.8302i | 1.38112 | − | 0.703717i | ||||
\(717\) | 46.4991 | + | 15.1085i | 1.73654 | + | 0.564236i | ||||
\(718\) | 3.23124 | + | 1.04989i | 0.120589 | + | 0.0391817i | ||||
\(719\) | 12.5280 | − | 6.38331i | 0.467214 | − | 0.238057i | −0.204502 | − | 0.978866i | \(-0.565558\pi\) |
0.671716 | + | 0.740809i | \(0.265558\pi\) | |||||||
\(720\) | 3.07459 | + | 9.46263i | 0.114583 | + | 0.352651i | ||||
\(721\) | −0.0828052 | − | 0.522811i | −0.00308383 | − | 0.0194705i | ||||
\(722\) | 10.3013 | − | 31.7041i | 0.383374 | − | 1.17990i | ||||
\(723\) | 11.2891 | + | 1.78801i | 0.419845 | + | 0.0664968i | ||||
\(724\) | 37.5963 | + | 37.5963i | 1.39726 | + | 1.39726i | ||||
\(725\) | 16.1798 | + | 8.24400i | 0.600901 | + | 0.306175i | ||||
\(726\) | −19.1539 | + | 120.933i | −0.710870 | + | 4.48825i | ||||
\(727\) | 3.58748 | − | 0.568201i | 0.133052 | − | 0.0210734i | −0.0895531 | − | 0.995982i | \(-0.528544\pi\) |
0.222605 | + | 0.974909i | \(0.428544\pi\) | |||||||
\(728\) | 1.66600 | + | 1.21042i | 0.0617459 | + | 0.0448610i | ||||
\(729\) | 3.47123i | 0.128564i | ||||||||
\(730\) | −2.22024 | + | 3.05589i | −0.0821747 | + | 0.113104i | ||||
\(731\) | 0.703327 | + | 1.38036i | 0.0260135 | + | 0.0510543i | ||||
\(732\) | 2.59996 | − | 5.10272i | 0.0960974 | − | 0.188602i | ||||
\(733\) | −11.2030 | − | 15.4196i | −0.413793 | − | 0.569537i | 0.550346 | − | 0.834937i | \(-0.314496\pi\) |
−0.964138 | + | 0.265400i | \(0.914496\pi\) | |||||||
\(734\) | 18.4276 | − | 13.3885i | 0.680177 | − | 0.494177i | ||||
\(735\) | 4.34079 | − | 4.34079i | 0.160112 | − | 0.160112i | ||||
\(736\) | −28.9088 | + | 9.39305i | −1.06559 | + | 0.346232i | ||||
\(737\) | 21.3203 | 0.785345 | ||||||||
\(738\) | −20.5260 | + | 2.28380i | −0.755574 | + | 0.0840677i | ||||
\(739\) | 3.70903 | 0.136439 | 0.0682195 | − | 0.997670i | \(-0.478268\pi\) | ||||
0.0682195 | + | 0.997670i | \(0.478268\pi\) | |||||||
\(740\) | −17.1747 | + | 5.58039i | −0.631353 | + | 0.205139i | ||||
\(741\) | −1.68277 | + | 1.68277i | −0.0618181 | + | 0.0618181i | ||||
\(742\) | 22.3959 | − | 16.2716i | 0.822181 | − | 0.597349i | ||||
\(743\) | 22.4945 | + | 30.9610i | 0.825243 | + | 1.13585i | 0.988790 | + | 0.149314i | \(0.0477067\pi\) |
−0.163546 | + | 0.986536i | \(0.552293\pi\) | |||||||
\(744\) | −6.76440 | + | 13.2759i | −0.247995 | + | 0.486717i | ||||
\(745\) | −17.1221 | − | 33.6040i | −0.627305 | − | 1.23116i | ||||
\(746\) | −45.1333 | + | 62.1207i | −1.65245 | + | 2.27440i | ||||
\(747\) | − | 5.67382i | − | 0.207594i | ||||||
\(748\) | −7.77232 | − | 5.64692i | −0.284184 | − | 0.206472i | ||||
\(749\) | 38.2586 | − | 6.05956i | 1.39794 | − | 0.221412i | ||||
\(750\) | −2.91005 | + | 18.3733i | −0.106260 | + | 0.670899i | ||||
\(751\) | 45.1176 | + | 22.9886i | 1.64636 | + | 0.838864i | 0.996918 | + | 0.0784569i | \(0.0249993\pi\) |
0.649446 | + | 0.760407i | \(0.275001\pi\) | |||||||
\(752\) | 8.23722 | + | 8.23722i | 0.300380 | + | 0.300380i | ||||
\(753\) | −22.9284 | − | 3.63150i | −0.835558 | − | 0.132339i | ||||
\(754\) | −1.99629 | + | 6.14394i | −0.0727005 | + | 0.223749i | ||||
\(755\) | −6.23932 | − | 39.3935i | −0.227072 | − | 1.43368i | ||||
\(756\) | −6.41424 | − | 19.7410i | −0.233284 | − | 0.717974i | ||||
\(757\) | −16.4699 | + | 8.39181i | −0.598607 | + | 0.305006i | −0.726914 | − | 0.686729i | \(-0.759046\pi\) |
0.128306 | + | 0.991735i | \(0.459046\pi\) | |||||||
\(758\) | 3.39830 | + | 1.10417i | 0.123432 | + | 0.0401054i | ||||
\(759\) | 48.8690 | + | 15.8785i | 1.77383 | + | 0.576353i | ||||
\(760\) | 6.93799 | − | 3.53508i | 0.251667 | − | 0.128231i | ||||
\(761\) | −4.05425 | − | 12.4777i | −0.146967 | − | 0.452317i | 0.850292 | − | 0.526311i | \(-0.176425\pi\) |
−0.997259 | + | 0.0739945i | \(0.976425\pi\) | |||||||
\(762\) | −13.0654 | − | 82.4917i | −0.473309 | − | 2.98836i | ||||
\(763\) | 4.53864 | − | 13.9685i | 0.164310 | − | 0.505694i | ||||
\(764\) | −16.2498 | − | 2.57372i | −0.587898 | − | 0.0931138i | ||||
\(765\) | 1.82834 | + | 1.82834i | 0.0661037 | + | 0.0661037i | ||||
\(766\) | −18.7862 | − | 9.57207i | −0.678775 | − | 0.345853i | ||||
\(767\) | −0.974801 | + | 6.15465i | −0.0351980 | + | 0.222232i | ||||
\(768\) | −2.45078 | + | 0.388166i | −0.0884350 | + | 0.0140067i | ||||
\(769\) | −9.65861 | − | 7.01739i | −0.348298 | − | 0.253053i | 0.399857 | − | 0.916578i | \(-0.369060\pi\) |
−0.748155 | + | 0.663524i | \(0.769060\pi\) | |||||||
\(770\) | − | 95.4170i | − | 3.43859i | ||||||
\(771\) | −14.8010 | + | 20.3718i | −0.533044 | + | 0.733672i | ||||
\(772\) | 17.0848 | + | 33.5308i | 0.614895 | + | 1.20680i | ||||
\(773\) | −6.63677 | + | 13.0254i | −0.238708 | + | 0.468491i | −0.979018 | − | 0.203775i | \(-0.934679\pi\) |
0.740310 | + | 0.672266i | \(0.234679\pi\) | |||||||
\(774\) | 4.98496 | + | 6.86121i | 0.179181 | + | 0.246621i | ||||
\(775\) | −14.5849 | + | 10.5965i | −0.523905 | + | 0.380639i | ||||
\(776\) | 10.1120 | − | 10.1120i | 0.363000 | − | 0.363000i | ||||
\(777\) | 11.4674 | − | 3.72598i | 0.411390 | − | 0.133669i | ||||
\(778\) | 34.9368 | 1.25255 | ||||||||
\(779\) | −3.19165 | − | 11.6278i | −0.114353 | − | 0.416609i | ||||
\(780\) | 9.84069 | 0.352353 | ||||||||
\(781\) | −28.0748 | + | 9.12205i | −1.00460 | + | 0.326413i | ||||
\(782\) | −3.54386 | + | 3.54386i | −0.126728 | + | 0.126728i | ||||
\(783\) | 12.9683 | − | 9.42203i | 0.463450 | − | 0.336716i | ||||
\(784\) | 1.31463 | + | 1.80944i | 0.0469512 | + | 0.0646228i | ||||
\(785\) | −5.57720 | + | 10.9459i | −0.199059 | + | 0.390675i | ||||
\(786\) | −28.1383 | − | 55.2246i | −1.00366 | − | 1.96980i | ||||
\(787\) | −22.3369 | + | 30.7442i | −0.796226 | + | 1.09591i | 0.197078 | + | 0.980388i | \(0.436855\pi\) |
−0.993305 | + | 0.115524i | \(0.963145\pi\) | |||||||
\(788\) | − | 24.3936i | − | 0.868986i | ||||||
\(789\) | −12.0207 | − | 8.73358i | −0.427950 | − | 0.310924i | ||||
\(790\) | −27.7518 | + | 4.39545i | −0.987364 | + | 0.156383i | ||||
\(791\) | −7.01202 | + | 44.2722i | −0.249319 | + | 1.57414i | ||||
\(792\) | −11.5357 | − | 5.87775i | −0.409904 | − | 0.208857i | ||||
\(793\) | 0.429097 | + | 0.429097i | 0.0152377 | + | 0.0152377i | ||||
\(794\) | −38.2991 | − | 6.06597i | −1.35918 | − | 0.215273i | ||||
\(795\) | 10.0633 | − | 30.9717i | 0.356910 | − | 1.09845i | ||||
\(796\) | 3.69802 | + | 23.3484i | 0.131073 | + | 0.827560i | ||||
\(797\) | 3.31857 | + | 10.2135i | 0.117550 | + | 0.361781i | 0.992470 | − | 0.122485i | \(-0.0390864\pi\) |
−0.874920 | + | 0.484267i | \(0.839086\pi\) | |||||||
\(798\) | −18.8179 | + | 9.58821i | −0.666147 | + | 0.339419i | ||||
\(799\) | 2.87917 | + | 0.935500i | 0.101858 | + | 0.0330956i | ||||
\(800\) | 26.4955 | + | 8.60890i | 0.936756 | + | 0.304371i | ||||
\(801\) | −16.1500 | + | 8.22883i | −0.570632 | + | 0.290751i | ||||
\(802\) | 5.93270 | + | 18.2590i | 0.209491 | + | 0.644747i | ||||
\(803\) | 0.573611 | + | 3.62164i | 0.0202423 | + | 0.127805i | ||||
\(804\) | −6.03014 | + | 18.5589i | −0.212667 | + | 0.654520i | ||||
\(805\) | −28.0322 | − | 4.43986i | −0.988004 | − | 0.156484i | ||||
\(806\) | −4.53503 | − | 4.53503i | −0.159739 | − | 0.159739i | ||||
\(807\) | 55.6880 | + | 28.3745i | 1.96031 | + | 0.998829i | ||||
\(808\) | −0.975709 | + | 6.16038i | −0.0343253 | + | 0.216722i | ||||
\(809\) | 25.5063 | − | 4.03980i | 0.896754 | − | 0.142032i | 0.308991 | − | 0.951065i | \(-0.400009\pi\) |
0.587763 | + | 0.809033i | \(0.300009\pi\) | |||||||
\(810\) | −57.6220 | − | 41.8648i | −2.02463 | − | 1.47098i | ||||
\(811\) | − | 41.1472i | − | 1.44488i | −0.691436 | − | 0.722438i | \(-0.743022\pi\) | ||
0.691436 | − | 0.722438i | \(-0.256978\pi\) | |||||||
\(812\) | −19.2142 | + | 26.4461i | −0.674288 | + | 0.928077i | ||||
\(813\) | 1.00751 | + | 1.97735i | 0.0353348 | + | 0.0693485i | ||||
\(814\) | −13.9579 | + | 27.3939i | −0.489225 | + | 0.960157i | ||||
\(815\) | −29.2429 | − | 40.2493i | −1.02433 | − | 1.40987i | ||||
\(816\) | −2.29125 | + | 1.66469i | −0.0802098 | + | 0.0582758i | ||||
\(817\) | −3.50124 | + | 3.50124i | −0.122493 | + | 0.122493i | ||||
\(818\) | 64.3087 | − | 20.8952i | 2.24850 | − | 0.730582i | ||||
\(819\) | −2.18555 | −0.0763693 | ||||||||
\(820\) | −24.6669 | + | 43.3314i | −0.861405 | + | 1.51320i | ||||
\(821\) | −21.5835 | −0.753268 | −0.376634 | − | 0.926362i | \(-0.622919\pi\) | ||||
−0.376634 | + | 0.926362i | \(0.622919\pi\) | |||||||
\(822\) | −64.6363 | + | 21.0016i | −2.25445 | + | 0.732515i | ||||
\(823\) | 14.2285 | − | 14.2285i | 0.495975 | − | 0.495975i | −0.414208 | − | 0.910182i | \(-0.635941\pi\) |
0.910182 | + | 0.414208i | \(0.135941\pi\) | |||||||
\(824\) | −0.246030 | + | 0.178751i | −0.00857085 | + | 0.00622709i | ||||
\(825\) | −27.6813 | − | 38.1001i | −0.963740 | − | 1.32647i | ||||
\(826\) | −25.1062 | + | 49.2737i | −0.873557 | + | 1.71445i | ||||
\(827\) | −9.37300 | − | 18.3955i | −0.325931 | − | 0.639676i | 0.668657 | − | 0.743571i | \(-0.266869\pi\) |
−0.994588 | + | 0.103895i | \(0.966869\pi\) | |||||||
\(828\) | −9.19509 | + | 12.6560i | −0.319551 | + | 0.439825i | ||||
\(829\) | 32.8047i | 1.13935i | 0.821868 | + | 0.569677i | \(0.192932\pi\) | ||||
−0.821868 | + | 0.569677i | \(0.807068\pi\) | |||||||
\(830\) | −19.4357 | − | 14.1208i | −0.674622 | − | 0.490142i | ||||
\(831\) | 50.8344 | − | 8.05138i | 1.76343 | − | 0.279299i | ||||
\(832\) | −1.12761 | + | 7.11947i | −0.0390930 | + | 0.246823i | ||||
\(833\) | 0.517885 | + | 0.263876i | 0.0179436 | + | 0.00914275i | ||||
\(834\) | 2.04346 | + | 2.04346i | 0.0707594 | + | 0.0707594i | ||||
\(835\) | 74.2904 | + | 11.7664i | 2.57092 | + | 0.407194i | ||||
\(836\) | 9.48859 | − | 29.2029i | 0.328170 | − | 1.01000i | ||||
\(837\) | 2.48950 | + | 15.7181i | 0.0860497 | + | 0.543297i | ||||
\(838\) | 5.27262 | + | 16.2274i | 0.182140 | + | 0.560568i | ||||
\(839\) | −8.20381 | + | 4.18005i | −0.283227 | + | 0.144311i | −0.589833 | − | 0.807525i | \(-0.700807\pi\) |
0.306606 | + | 0.951836i | \(0.400807\pi\) | |||||||
\(840\) | 20.4466 | + | 6.64350i | 0.705475 | + | 0.229223i | ||||
\(841\) | 3.57168 | + | 1.16051i | 0.123161 | + | 0.0400175i | ||||
\(842\) | −31.3424 | + | 15.9698i | −1.08013 | + | 0.550354i | ||||
\(843\) | 12.4858 | + | 38.4273i | 0.430033 | + | 1.32351i | ||||
\(844\) | 1.03568 | + | 6.53901i | 0.0356495 | + | 0.225082i | ||||
\(845\) | 11.4683 | − | 35.2957i | 0.394521 | − | 1.21421i | ||||
\(846\) | 16.3687 | + | 2.59255i | 0.562768 | + | 0.0891337i | ||||
\(847\) | −46.4221 | − | 46.4221i | −1.59508 | − | 1.59508i | ||||
\(848\) | 10.5717 | + | 5.38653i | 0.363032 | + | 0.184974i | ||||
\(849\) | 6.96914 | − | 44.0014i | 0.239180 | − | 1.51012i | ||||
\(850\) | 4.53683 | − | 0.718563i | 0.155612 | − | 0.0246465i | ||||
\(851\) | 7.39848 | + | 5.37531i | 0.253617 | + | 0.184263i | ||||
\(852\) | − | 27.0185i | − | 0.925638i | ||||||
\(853\) | 3.94397 | − | 5.42840i | 0.135039 | − | 0.185865i | −0.736142 | − | 0.676827i | \(-0.763355\pi\) |
0.871181 | + | 0.490962i | \(0.163355\pi\) | |||||||
\(854\) | 2.44494 | + | 4.79847i | 0.0836642 | + | 0.164200i | ||||
\(855\) | −3.75184 | + | 7.36340i | −0.128310 | + | 0.251823i | ||||
\(856\) | −13.0807 | − | 18.0041i | −0.447090 | − | 0.615367i | ||||
\(857\) | −22.0856 | + | 16.0461i | −0.754428 | + | 0.548124i | −0.897196 | − | 0.441632i | \(-0.854400\pi\) |
0.142768 | + | 0.989756i | \(0.454400\pi\) | |||||||
\(858\) | 11.8468 | − | 11.8468i | 0.404444 | − | 0.404444i | ||||
\(859\) | 39.2836 | − | 12.7640i | 1.34034 | − | 0.435503i | 0.450907 | − | 0.892571i | \(-0.351100\pi\) |
0.889432 | + | 0.457068i | \(0.151100\pi\) | |||||||
\(860\) | 20.4749 | 0.698189 | ||||||||
\(861\) | 16.4699 | − | 28.9320i | 0.561292 | − | 0.986000i | ||||
\(862\) | −0.849642 | −0.0289389 | ||||||||
\(863\) | 31.0353 | − | 10.0840i | 1.05646 | − | 0.343263i | 0.271257 | − | 0.962507i | \(-0.412561\pi\) |
0.785199 | + | 0.619244i | \(0.212561\pi\) | |||||||
\(864\) | 17.3894 | − | 17.3894i | 0.591599 | − | 0.591599i | ||||
\(865\) | −16.2216 | + | 11.7857i | −0.551551 | + | 0.400725i | ||||
\(866\) | 21.9320 | + | 30.1868i | 0.745280 | + | 1.02579i | ||||
\(867\) | 16.0292 | − | 31.4591i | 0.544381 | − | 1.06841i | ||||
\(868\) | −14.7335 | − | 28.9161i | −0.500087 | − | 0.981476i | ||||
\(869\) | −16.0322 | + | 22.0665i | −0.543856 | + | 0.748554i | ||||
\(870\) | 67.4434i | 2.28654i | ||||||||
\(871\) | −1.67283 | − | 1.21539i | −0.0566818 | − | 0.0411818i | ||||
\(872\) | −8.33428 | + | 1.32002i | −0.282234 | + | 0.0447015i | ||||
\(873\) | −2.37427 | + | 14.9905i | −0.0803567 | + | 0.507352i | ||||
\(874\) | −14.2724 | − | 7.27217i | −0.482773 | − | 0.245985i | ||||
\(875\) | −7.05289 | − | 7.05289i | −0.238431 | − | 0.238431i | ||||
\(876\) | −3.31479 | − | 0.525011i | −0.111996 | − | 0.0177385i | ||||
\(877\) | −3.53001 | + | 10.8643i | −0.119200 | + | 0.366860i | −0.992800 | − | 0.119785i | \(-0.961780\pi\) |
0.873600 | + | 0.486645i | \(0.161780\pi\) | |||||||
\(878\) | 0.141371 | + | 0.892583i | 0.00477105 | + | 0.0301232i | ||||
\(879\) | −7.38546 | − | 22.7301i | −0.249105 | − | 0.766667i | ||||
\(880\) | 36.4382 | − | 18.5662i | 1.22833 | − | 0.625866i | ||||
\(881\) | 19.8386 | + | 6.44595i | 0.668379 | + | 0.217169i | 0.623500 | − | 0.781823i | \(-0.285710\pi\) |
0.0448784 | + | 0.998992i | \(0.485710\pi\) | |||||||
\(882\) | 3.02616 | + | 0.983259i | 0.101896 | + | 0.0331080i | ||||
\(883\) | 14.2619 | − | 7.26681i | 0.479951 | − | 0.244547i | −0.197239 | − | 0.980355i | \(-0.563197\pi\) |
0.677190 | + | 0.735808i | \(0.263197\pi\) | |||||||
\(884\) | 0.287923 | + | 0.886137i | 0.00968391 | + | 0.0298040i | ||||
\(885\) | 10.1769 | + | 64.2543i | 0.342092 | + | 2.15988i | ||||
\(886\) | 17.6106 | − | 54.1998i | 0.591639 | − | 1.82088i | ||||
\(887\) | 1.51345 | + | 0.239706i | 0.0508165 | + | 0.00804855i | 0.181791 | − | 0.983337i | \(-0.441811\pi\) |
−0.130974 | + | 0.991386i | \(0.541811\pi\) | |||||||
\(888\) | −4.89833 | − | 4.89833i | −0.164377 | − | 0.164377i | ||||
\(889\) | 39.9011 | + | 20.3307i | 1.33824 | + | 0.681868i | ||||
\(890\) | −12.0058 | + | 75.8014i | −0.402434 | + | 2.54087i | ||||
\(891\) | −68.2897 | + | 10.8160i | −2.28779 | + | 0.362350i | ||||
\(892\) | −53.2146 | − | 38.6627i | −1.78176 | − | 1.29452i | ||||
\(893\) | 9.67582i | 0.323789i | ||||||||
\(894\) | 34.5439 | − | 47.5456i | 1.15532 | − | 1.59016i | ||||
\(895\) | 20.8307 | + | 40.8825i | 0.696293 | + | 1.36655i | ||||
\(896\) | −11.8788 | + | 23.3134i | −0.396841 | + | 0.778845i | ||||
\(897\) | −2.92919 | − | 4.03168i | −0.0978027 | − | 0.134614i | ||||
\(898\) | −40.5986 | + | 29.4966i | −1.35479 | + | 0.984316i | ||||
\(899\) | 17.7217 | − | 17.7217i | 0.591053 | − | 0.591053i | ||||
\(900\) | 13.6359 | − | 4.43058i | 0.454531 | − | 0.147686i | ||||
\(901\) | 3.08339 | 0.102723 | ||||||||
\(902\) | 22.4695 | + | 81.8605i | 0.748152 | + | 2.72566i | ||||
\(903\) | −13.6709 | −0.454940 | ||||||||
\(904\) | 24.4919 | − | 7.95789i | 0.814587 | − | 0.264675i | ||||
\(905\) | −41.5905 | + | 41.5905i | −1.38252 | + | 1.38252i | ||||
\(906\) | 50.2811 | − | 36.5314i | 1.67048 | − | 1.21367i | ||||
\(907\) | −10.1296 | − | 13.9421i | −0.336346 | − | 0.462941i | 0.607023 | − | 0.794684i | \(-0.292363\pi\) |
−0.943370 | + | 0.331743i | \(0.892363\pi\) | |||||||
\(908\) | 2.75704 | − | 5.41100i | 0.0914957 | − | 0.179570i | ||||
\(909\) | −3.00524 | − | 5.89812i | −0.0996775 | − | 0.195628i | ||||
\(910\) | −5.43933 | + | 7.48660i | −0.180312 | + | 0.248178i | ||||
\(911\) | − | 10.8340i | − | 0.358947i | −0.983763 | − | 0.179474i | \(-0.942561\pi\) | ||
0.983763 | − | 0.179474i | \(-0.0574395\pi\) | |||||||
\(912\) | −7.32316 | − | 5.32059i | −0.242494 | − | 0.176182i | ||||
\(913\) | −23.0339 | + | 3.64820i | −0.762309 | + | 0.120738i | ||||
\(914\) | 3.07567 | − | 19.4190i | 0.101734 | − | 0.642325i | ||||
\(915\) | 5.64482 | + | 2.87618i | 0.186612 | + | 0.0950836i | ||||
\(916\) | −39.4371 | − | 39.4371i | −1.30304 | − | 1.30304i | ||||
\(917\) | 32.8236 | + | 5.19874i | 1.08393 | + | 0.171678i | ||||
\(918\) | 1.25299 | − | 3.85632i | 0.0413550 | − | 0.127277i | ||||
\(919\) | −8.24478 | − | 52.0555i | −0.271970 | − | 1.71715i | −0.624222 | − | 0.781247i | \(-0.714584\pi\) |
0.352251 | − | 0.935905i | \(-0.385416\pi\) | |||||||
\(920\) | 5.03876 | + | 15.5077i | 0.166123 | + | 0.511274i | ||||
\(921\) | 17.8626 | − | 9.10144i | 0.588592 | − | 0.299903i | ||||
\(922\) | 80.7650 | + | 26.2421i | 2.65985 | + | 0.864239i | ||||
\(923\) | 2.72281 | + | 0.884696i | 0.0896225 | + | 0.0291201i | ||||
\(924\) | 75.5374 | − | 38.4882i | 2.48500 | − | 1.26617i | ||||
\(925\) | −2.59005 | − | 7.97135i | −0.0851603 | − | 0.262096i | ||||
\(926\) | 5.98838 | + | 37.8091i | 0.196790 | + | 1.24249i | ||||
\(927\) | 0.0997371 | − | 0.306959i | 0.00327580 | − | 0.0100819i | ||||
\(928\) | −38.2526 | − | 6.05862i | −1.25570 | − | 0.198884i | ||||
\(929\) | −25.6149 | − | 25.6149i | −0.840396 | − | 0.840396i | 0.148514 | − | 0.988910i | \(-0.452551\pi\) |
−0.988910 | + | 0.148514i | \(0.952551\pi\) | |||||||
\(930\) | −59.6587 | − | 30.3977i | −1.95629 | − | 0.996778i | ||||
\(931\) | −0.290610 | + | 1.83484i | −0.00952437 | + | 0.0601345i | ||||
\(932\) | −22.8431 | + | 3.61799i | −0.748251 | + | 0.118511i | ||||
\(933\) | −28.9478 | − | 21.0318i | −0.947710 | − | 0.688552i | ||||
\(934\) | 8.67890i | 0.283982i | ||||||||
\(935\) | 6.24685 | − | 8.59805i | 0.204294 | − | 0.281186i | ||||
\(936\) | 0.570049 | + | 1.11878i | 0.0186326 | + | 0.0365686i | ||||
\(937\) | −4.26783 | + | 8.37609i | −0.139424 | + | 0.273635i | −0.950151 | − | 0.311789i | \(-0.899072\pi\) |
0.810728 | + | 0.585424i | \(0.199072\pi\) | |||||||
\(938\) | −10.7861 | − | 14.8458i | −0.352179 | − | 0.484733i | ||||
\(939\) | −42.0151 | + | 30.5258i | −1.37111 | + | 0.996171i | ||||
\(940\) | 28.2917 | − | 28.2917i | 0.922773 | − | 0.922773i | ||||
\(941\) | −15.1051 | + | 4.90795i | −0.492413 | + | 0.159995i | −0.544689 | − | 0.838638i | \(-0.683352\pi\) |
0.0522762 | + | 0.998633i | \(0.483352\pi\) | |||||||
\(942\) | −19.1431 | −0.623715 | ||||||||
\(943\) | 25.0950 | − | 2.79215i | 0.817205 | − | 0.0909250i | ||||
\(944\) | −23.7020 | −0.771434 | ||||||||
\(945\) | 21.8383 | − | 7.09569i | 0.710399 | − | 0.230823i | ||||
\(946\) | 24.6490 | − | 24.6490i | 0.801408 | − | 0.801408i | ||||
\(947\) | −30.5510 | + | 22.1966i | −0.992775 | + | 0.721293i | −0.960527 | − | 0.278186i | \(-0.910267\pi\) |
−0.0322482 | + | 0.999480i | \(0.510267\pi\) | |||||||
\(948\) | −14.6739 | − | 20.1969i | −0.476585 | − | 0.655964i | ||||
\(949\) | 0.161448 | − | 0.316860i | 0.00524083 | − | 0.0102857i | ||||
\(950\) | 6.66508 | + | 13.0810i | 0.216244 | + | 0.424402i | ||||
\(951\) | −12.2449 | + | 16.8536i | −0.397067 | + | 0.546515i | ||||
\(952\) | 2.03556i | 0.0659728i | ||||||||
\(953\) | 25.8698 | + | 18.7955i | 0.838006 | + | 0.608847i | 0.921813 | − | 0.387635i | \(-0.126708\pi\) |
−0.0838068 | + | 0.996482i | \(0.526708\pi\) | |||||||
\(954\) | 16.6717 | − | 2.64054i | 0.539768 | − | 0.0854908i | ||||
\(955\) | 2.84715 | − | 17.9762i | 0.0921315 | − | 0.581695i | ||||
\(956\) | 54.5130 | + | 27.7758i | 1.76308 | + | 0.898332i | ||||
\(957\) | 46.2944 | + | 46.2944i | 1.49649 | + | 1.49649i | ||||
\(958\) | −40.0005 | − | 6.33546i | −1.29236 | − | 0.204690i | ||||
\(959\) | 11.2607 | − | 34.6570i | 0.363628 | − | 1.11913i | ||||
\(960\) | 11.7722 | + | 74.3269i | 0.379947 | + | 2.39889i | ||||
\(961\) | −1.89074 | − | 5.81911i | −0.0609917 | − | 0.187713i | ||||
\(962\) | 2.65678 | − | 1.35370i | 0.0856581 | − | 0.0436450i | ||||
\(963\) | 22.4628 | + | 7.29862i | 0.723855 | + | 0.235195i | ||||
\(964\) | 13.6027 | + | 4.41978i | 0.438113 | + | 0.142352i | ||||
\(965\) | −37.0931 | + | 18.8999i | −1.19407 | + | 0.608408i | ||||
\(966\) | −13.6666 | − | 42.0616i | −0.439717 | − | 1.35331i | ||||
\(967\) | −7.26414 | − | 45.8640i | −0.233599 | − | 1.47489i | −0.773842 | − | 0.633378i | \(-0.781668\pi\) |
0.540243 | − | 0.841509i | \(-0.318332\pi\) | |||||||
\(968\) | −11.6554 | + | 35.8716i | −0.374619 | + | 1.15296i | ||||
\(969\) | −2.32342 | − | 0.367993i | −0.0746389 | − | 0.0118216i | ||||
\(970\) | 45.4410 | + | 45.4410i | 1.45902 | + | 1.45902i | ||||
\(971\) | −45.6829 | − | 23.2766i | −1.46603 | − | 0.746982i | −0.474925 | − | 0.880027i | \(-0.657525\pi\) |
−0.991110 | + | 0.133045i | \(0.957525\pi\) | |||||||
\(972\) | 5.92721 | − | 37.4230i | 0.190115 | − | 1.20034i | ||||
\(973\) | −1.53044 | + | 0.242398i | −0.0490636 | + | 0.00777092i | ||||
\(974\) | −9.77760 | − | 7.10384i | −0.313294 | − | 0.227622i | ||||
\(975\) | 4.56740i | 0.146274i | ||||||||
\(976\) | −1.35672 | + | 1.86737i | −0.0434276 | + | 0.0597730i | ||||
\(977\) | 5.61016 | + | 11.0106i | 0.179485 | + | 0.352259i | 0.963167 | − | 0.268903i | \(-0.0866610\pi\) |
−0.783682 | + | 0.621162i | \(0.786661\pi\) | |||||||
\(978\) | 35.1958 | − | 69.0756i | 1.12544 | − | 2.20879i | ||||
\(979\) | 43.7906 | + | 60.2726i | 1.39955 | + | 1.92632i | ||||
\(980\) | 6.21473 | − | 4.51526i | 0.198522 | − | 0.144235i | ||||
\(981\) | 6.33254 | − | 6.33254i | 0.202182 | − | 0.202182i | ||||
\(982\) | −65.3394 | + | 21.2300i | −2.08506 | + | 0.677478i | ||||
\(983\) | −33.4651 | −1.06737 | −0.533686 | − | 0.845683i | \(-0.679194\pi\) | ||||
−0.533686 | + | 0.845683i | \(0.679194\pi\) | |||||||
\(984\) | −19.1061 | − | 0.884709i | −0.609080 | − | 0.0282035i | ||||
\(985\) | 26.9852 | 0.859819 | ||||||||
\(986\) | −6.07315 | + | 1.97329i | −0.193409 | + | 0.0628423i | ||||
\(987\) | −18.8901 | + | 18.8901i | −0.601279 | + | 0.601279i | ||||
\(988\) | −2.40923 | + | 1.75041i | −0.0766478 | + | 0.0556879i | ||||
\(989\) | −6.09458 | − | 8.38847i | −0.193796 | − | 0.266738i | ||||
\(990\) | 26.4133 | − | 51.8389i | 0.839468 | − | 1.64755i | ||||
\(991\) | 3.03259 | + | 5.95180i | 0.0963335 | + | 0.189065i | 0.934144 | − | 0.356895i | \(-0.116165\pi\) |
−0.837811 | + | 0.545961i | \(0.816165\pi\) | |||||||
\(992\) | 22.6003 | − | 31.1066i | 0.717560 | − | 0.987636i | ||||
\(993\) | 43.0092i | 1.36486i | ||||||||
\(994\) | 20.5551 | + | 14.9342i | 0.651969 | + | 0.473683i | ||||
\(995\) | −25.8289 | + | 4.09089i | −0.818830 | + | 0.129690i | ||||
\(996\) | 3.33910 | − | 21.0823i | 0.105804 | − | 0.668017i | ||||
\(997\) | −53.5880 | − | 27.3044i | −1.69715 | − | 0.864740i | −0.987006 | − | 0.160682i | \(-0.948631\pi\) |
−0.710142 | − | 0.704058i | \(-0.751369\pi\) | |||||||
\(998\) | −6.36296 | − | 6.36296i | −0.201416 | − | 0.201416i | ||||
\(999\) | −7.30769 | − | 1.15742i | −0.231205 | − | 0.0366193i |
(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 | 41.2.g.a.2.1 | ✓ | 24 | |
3.2 | odd | 2 | 369.2.u.a.289.3 | 24 | |||
4.3 | odd | 2 | 656.2.bs.d.289.1 | 24 | |||
41.12 | odd | 40 | 1681.2.a.m.1.20 | 24 | |||
41.21 | even | 20 | inner | 41.2.g.a.21.1 | yes | 24 | |
41.29 | odd | 40 | 1681.2.a.m.1.19 | 24 | |||
123.62 | odd | 20 | 369.2.u.a.226.3 | 24 | |||
164.103 | odd | 20 | 656.2.bs.d.513.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.2.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
41.2.g.a.21.1 | yes | 24 | 41.21 | even | 20 | inner | |
369.2.u.a.226.3 | 24 | 123.62 | odd | 20 | |||
369.2.u.a.289.3 | 24 | 3.2 | odd | 2 | |||
656.2.bs.d.289.1 | 24 | 4.3 | odd | 2 | |||
656.2.bs.d.513.1 | 24 | 164.103 | odd | 20 | |||
1681.2.a.m.1.19 | 24 | 41.29 | odd | 40 | |||
1681.2.a.m.1.20 | 24 | 41.12 | odd | 40 |