Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 691.1 | ||
Root | \(0.913545 - 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.691 |
Dual form | 930.2.bg.a.751.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | 0.978148 | + | 0.207912i | 0.564734 | + | 0.120038i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 3.57433 | − | 1.59139i | 1.35097 | − | 0.601490i | 0.401647 | − | 0.915795i | \(-0.368438\pi\) |
0.949322 | + | 0.314304i | \(0.101771\pi\) | |||||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | 0.978148 | − | 0.207912i | 0.309317 | − | 0.0657474i | ||||
\(11\) | −0.683591 | + | 6.50394i | −0.206110 | + | 1.96101i | 0.0633279 | + | 0.997993i | \(0.479829\pi\) |
−0.269438 | + | 0.963018i | \(0.586838\pi\) | |||||||
\(12\) | −0.669131 | − | 0.743145i | −0.193161 | − | 0.214527i | ||||
\(13\) | 0.240636 | − | 0.267254i | 0.0667405 | − | 0.0741229i | −0.708850 | − | 0.705359i | \(-0.750786\pi\) |
0.775590 | + | 0.631237i | \(0.217452\pi\) | |||||||
\(14\) | −0.408977 | − | 3.89116i | −0.109304 | − | 1.03996i | ||||
\(15\) | 0.309017 | + | 0.951057i | 0.0797878 | + | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.671954 | − | 6.39322i | −0.162973 | − | 1.55058i | −0.704381 | − | 0.709822i | \(-0.748775\pi\) |
0.541408 | − | 0.840760i | \(-0.317892\pi\) | |||||||
\(18\) | 0.669131 | − | 0.743145i | 0.157716 | − | 0.175161i | ||||
\(19\) | 3.78339 | + | 4.20188i | 0.867968 | + | 0.963976i | 0.999627 | − | 0.0273187i | \(-0.00869689\pi\) |
−0.131658 | + | 0.991295i | \(0.542030\pi\) | |||||||
\(20\) | 0.104528 | − | 0.994522i | 0.0233733 | − | 0.222382i | ||||
\(21\) | 3.82709 | − | 0.813473i | 0.835140 | − | 0.177514i | ||||
\(22\) | 5.97437 | + | 2.65996i | 1.27374 | + | 0.567105i | ||||
\(23\) | 1.08268 | − | 0.786610i | 0.225754 | − | 0.164020i | −0.469159 | − | 0.883114i | \(-0.655443\pi\) |
0.694913 | + | 0.719094i | \(0.255443\pi\) | |||||||
\(24\) | −0.913545 | + | 0.406737i | −0.186477 | + | 0.0830248i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −0.179813 | − | 0.311445i | −0.0352642 | − | 0.0610793i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | −3.82709 | − | 0.813473i | −0.723252 | − | 0.153732i | ||||
\(29\) | −0.0381813 | + | 0.117510i | −0.00709010 | + | 0.0218211i | −0.954539 | − | 0.298086i | \(-0.903652\pi\) |
0.947449 | + | 0.319907i | \(0.103652\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 4.97437 | + | 2.50113i | 0.893423 | + | 0.449216i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −2.02090 | + | 6.21968i | −0.351793 | + | 1.08271i | ||||
\(34\) | −6.28795 | − | 1.33655i | −1.07838 | − | 0.229216i | ||||
\(35\) | 3.16535 | + | 2.29976i | 0.535042 | + | 0.388731i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 0.144943 | − | 0.251049i | 0.0238285 | − | 0.0412721i | −0.853865 | − | 0.520494i | \(-0.825748\pi\) |
0.877694 | + | 0.479222i | \(0.159081\pi\) | |||||||
\(38\) | 5.16535 | − | 2.29976i | 0.837931 | − | 0.373071i | ||||
\(39\) | 0.290943 | − | 0.211383i | 0.0465882 | − | 0.0338483i | ||||
\(40\) | −0.913545 | − | 0.406737i | −0.144444 | − | 0.0643107i | ||||
\(41\) | −9.06316 | + | 1.92643i | −1.41543 | + | 0.300858i | −0.851235 | − | 0.524785i | \(-0.824146\pi\) |
−0.564193 | + | 0.825643i | \(0.690812\pi\) | |||||||
\(42\) | 0.408977 | − | 3.89116i | 0.0631065 | − | 0.600419i | ||||
\(43\) | −4.56694 | − | 5.07210i | −0.696451 | − | 0.773488i | 0.286356 | − | 0.958123i | \(-0.407556\pi\) |
−0.982807 | + | 0.184636i | \(0.940889\pi\) | |||||||
\(44\) | 4.37595 | − | 4.85999i | 0.659700 | − | 0.732671i | ||||
\(45\) | 0.104528 | + | 0.994522i | 0.0155822 | + | 0.148255i | ||||
\(46\) | −0.413545 | − | 1.27276i | −0.0609740 | − | 0.187659i | ||||
\(47\) | −0.671954 | − | 2.06806i | −0.0980146 | − | 0.301658i | 0.890013 | − | 0.455935i | \(-0.150695\pi\) |
−0.988028 | + | 0.154277i | \(0.950695\pi\) | |||||||
\(48\) | 0.104528 | + | 0.994522i | 0.0150874 | + | 0.143547i | ||||
\(49\) | 5.55938 | − | 6.17432i | 0.794197 | − | 0.882045i | ||||
\(50\) | 0.669131 | + | 0.743145i | 0.0946294 | + | 0.105097i | ||||
\(51\) | 0.671954 | − | 6.39322i | 0.0940924 | − | 0.895229i | ||||
\(52\) | −0.351767 | + | 0.0747703i | −0.0487813 | + | 0.0103688i | ||||
\(53\) | −3.70353 | − | 1.64892i | −0.508719 | − | 0.226496i | 0.136293 | − | 0.990669i | \(-0.456481\pi\) |
−0.645012 | + | 0.764172i | \(0.723148\pi\) | |||||||
\(54\) | 0.809017 | − | 0.587785i | 0.110093 | − | 0.0799874i | ||||
\(55\) | −5.97437 | + | 2.65996i | −0.805584 | + | 0.358669i | ||||
\(56\) | −1.95630 | + | 3.38840i | −0.261421 | + | 0.452794i | ||||
\(57\) | 2.82709 | + | 4.89667i | 0.374457 | + | 0.648579i | ||||
\(58\) | 0.0999601 | + | 0.0726252i | 0.0131254 | + | 0.00953616i | ||||
\(59\) | 4.86245 | + | 1.03355i | 0.633037 | + | 0.134556i | 0.513244 | − | 0.858243i | \(-0.328444\pi\) |
0.119793 | + | 0.992799i | \(0.461777\pi\) | |||||||
\(60\) | 0.309017 | − | 0.951057i | 0.0398939 | − | 0.122781i | ||||
\(61\) | 11.0795 | 1.41859 | 0.709294 | − | 0.704913i | \(-0.249014\pi\) | ||||
0.709294 | + | 0.704913i | \(0.249014\pi\) | |||||||
\(62\) | 3.91588 | − | 3.95801i | 0.497317 | − | 0.502668i | ||||
\(63\) | 3.91259 | 0.492940 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 0.351767 | + | 0.0747703i | 0.0436313 | + | 0.00927412i | ||||
\(66\) | 5.29078 | + | 3.84398i | 0.651250 | + | 0.473161i | ||||
\(67\) | −5.99448 | − | 10.3827i | −0.732342 | − | 1.26845i | −0.955880 | − | 0.293758i | \(-0.905094\pi\) |
0.223538 | − | 0.974695i | \(-0.428239\pi\) | |||||||
\(68\) | −3.21422 | + | 5.56718i | −0.389781 | + | 0.675120i | ||||
\(69\) | 1.22256 | − | 0.544320i | 0.147179 | − | 0.0655284i | ||||
\(70\) | 3.16535 | − | 2.29976i | 0.378332 | − | 0.274874i | ||||
\(71\) | 7.88558 | + | 3.51089i | 0.935846 | + | 0.416666i | 0.817254 | − | 0.576278i | \(-0.195495\pi\) |
0.118592 | + | 0.992943i | \(0.462162\pi\) | |||||||
\(72\) | −0.978148 | + | 0.207912i | −0.115276 | + | 0.0245026i | ||||
\(73\) | 1.61803 | − | 15.3946i | 0.189377 | − | 1.80180i | −0.326566 | − | 0.945174i | \(-0.605892\pi\) |
0.515943 | − | 0.856623i | \(-0.327442\pi\) | |||||||
\(74\) | −0.193972 | − | 0.215427i | −0.0225487 | − | 0.0250429i | ||||
\(75\) | −0.669131 | + | 0.743145i | −0.0772645 | + | 0.0858110i | ||||
\(76\) | −0.591023 | − | 5.62321i | −0.0677950 | − | 0.645026i | ||||
\(77\) | 7.90694 | + | 24.3351i | 0.901080 | + | 2.77324i | ||||
\(78\) | −0.111130 | − | 0.342024i | −0.0125830 | − | 0.0387266i | ||||
\(79\) | −0.678233 | − | 6.45295i | −0.0763072 | − | 0.726014i | −0.964058 | − | 0.265691i | \(-0.914400\pi\) |
0.887751 | − | 0.460324i | \(-0.152267\pi\) | |||||||
\(80\) | −0.669131 | + | 0.743145i | −0.0748111 | + | 0.0830861i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −0.968523 | + | 9.21488i | −0.106955 | + | 1.01761i | ||||
\(83\) | −4.32157 | + | 0.918578i | −0.474354 | + | 0.100827i | −0.438884 | − | 0.898544i | \(-0.644626\pi\) |
−0.0354697 | + | 0.999371i | \(0.511293\pi\) | |||||||
\(84\) | −3.57433 | − | 1.59139i | −0.389991 | − | 0.173635i | ||||
\(85\) | 5.20071 | − | 3.77854i | 0.564096 | − | 0.409840i | ||||
\(86\) | −6.23511 | + | 2.77605i | −0.672350 | + | 0.299349i | ||||
\(87\) | −0.0617787 | + | 0.107004i | −0.00662337 | + | 0.0114720i | ||||
\(88\) | −3.26988 | − | 5.66360i | −0.348570 | − | 0.603742i | ||||
\(89\) | −5.07794 | − | 3.68934i | −0.538261 | − | 0.391069i | 0.285178 | − | 0.958475i | \(-0.407947\pi\) |
−0.823439 | + | 0.567405i | \(0.807947\pi\) | |||||||
\(90\) | 0.978148 | + | 0.207912i | 0.103106 | + | 0.0219158i | ||||
\(91\) | 0.434808 | − | 1.33820i | 0.0455802 | − | 0.140281i | ||||
\(92\) | −1.33826 | −0.139523 | ||||||||
\(93\) | 4.34565 | + | 3.48070i | 0.450623 | + | 0.360932i | ||||
\(94\) | −2.17449 | −0.224281 | ||||||||
\(95\) | −1.74724 | + | 5.37745i | −0.179263 | + | 0.551714i | ||||
\(96\) | 0.978148 | + | 0.207912i | 0.0998318 | + | 0.0212199i | ||||
\(97\) | 11.0902 | + | 8.05748i | 1.12604 | + | 0.818113i | 0.985113 | − | 0.171907i | \(-0.0549930\pi\) |
0.140923 | + | 0.990021i | \(0.454993\pi\) | |||||||
\(98\) | −4.15418 | − | 7.19525i | −0.419636 | − | 0.726830i | ||||
\(99\) | −3.26988 | + | 5.66360i | −0.328635 | + | 0.569213i | ||||
\(100\) | 0.913545 | − | 0.406737i | 0.0913545 | − | 0.0406737i | ||||
\(101\) | −6.98176 | + | 5.07255i | −0.694711 | + | 0.504737i | −0.878205 | − | 0.478284i | \(-0.841259\pi\) |
0.183494 | + | 0.983021i | \(0.441259\pi\) | |||||||
\(102\) | −5.87266 | − | 2.61468i | −0.581480 | − | 0.258892i | ||||
\(103\) | −17.0119 | + | 3.61599i | −1.67623 | + | 0.356294i | −0.945312 | − | 0.326169i | \(-0.894242\pi\) |
−0.730920 | + | 0.682463i | \(0.760909\pi\) | |||||||
\(104\) | −0.0375911 | + | 0.357655i | −0.00368611 | + | 0.0350710i | ||||
\(105\) | 2.61803 | + | 2.90762i | 0.255494 | + | 0.283755i | ||||
\(106\) | −2.71267 | + | 3.01273i | −0.263478 | + | 0.292622i | ||||
\(107\) | 0.619614 | + | 5.89523i | 0.0599003 | + | 0.569914i | 0.982774 | + | 0.184811i | \(0.0591673\pi\) |
−0.922874 | + | 0.385103i | \(0.874166\pi\) | |||||||
\(108\) | −0.309017 | − | 0.951057i | −0.0297352 | − | 0.0915155i | ||||
\(109\) | 1.46458 | + | 4.50751i | 0.140281 | + | 0.431741i | 0.996374 | − | 0.0850809i | \(-0.0271149\pi\) |
−0.856093 | + | 0.516822i | \(0.827115\pi\) | |||||||
\(110\) | 0.683591 | + | 6.50394i | 0.0651779 | + | 0.620126i | ||||
\(111\) | 0.193972 | − | 0.215427i | 0.0184110 | − | 0.0204474i | ||||
\(112\) | 2.61803 | + | 2.90762i | 0.247381 | + | 0.274744i | ||||
\(113\) | 1.23840 | − | 11.7826i | 0.116499 | − | 1.10842i | −0.767539 | − | 0.641002i | \(-0.778519\pi\) |
0.884039 | − | 0.467414i | \(-0.154814\pi\) | |||||||
\(114\) | 5.53062 | − | 1.17557i | 0.517990 | − | 0.110102i | ||||
\(115\) | 1.22256 | + | 0.544320i | 0.114005 | + | 0.0507581i | ||||
\(116\) | 0.0999601 | − | 0.0726252i | 0.00928106 | − | 0.00674308i | ||||
\(117\) | 0.328534 | − | 0.146273i | 0.0303730 | − | 0.0135229i | ||||
\(118\) | 2.48554 | − | 4.30508i | 0.228812 | − | 0.396315i | ||||
\(119\) | −12.5759 | − | 21.7821i | −1.15283 | − | 1.99676i | ||||
\(120\) | −0.809017 | − | 0.587785i | −0.0738528 | − | 0.0536572i | ||||
\(121\) | −31.0743 | − | 6.60504i | −2.82493 | − | 0.600458i | ||||
\(122\) | 3.42376 | − | 10.5373i | 0.309973 | − | 0.953998i | ||||
\(123\) | −9.26564 | −0.835454 | ||||||||
\(124\) | −2.55422 | − | 4.94732i | −0.229376 | − | 0.444282i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 1.20906 | − | 3.72109i | 0.107711 | − | 0.331501i | ||||
\(127\) | −6.17449 | − | 1.31243i | −0.547897 | − | 0.116459i | −0.0743576 | − | 0.997232i | \(-0.523691\pi\) |
−0.473540 | + | 0.880772i | \(0.657024\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −3.41259 | − | 5.91078i | −0.300462 | − | 0.520415i | ||||
\(130\) | 0.179813 | − | 0.311445i | 0.0157706 | − | 0.0273155i | ||||
\(131\) | 1.24382 | − | 0.553786i | 0.108673 | − | 0.0483845i | −0.351680 | − | 0.936120i | \(-0.614389\pi\) |
0.460353 | + | 0.887736i | \(0.347723\pi\) | |||||||
\(132\) | 5.29078 | − | 3.84398i | 0.460503 | − | 0.334575i | ||||
\(133\) | 20.2099 | + | 8.99803i | 1.75242 | + | 0.780228i | ||||
\(134\) | −11.7270 | + | 2.49264i | −1.01306 | + | 0.215332i | ||||
\(135\) | −0.104528 | + | 0.994522i | −0.00899638 | + | 0.0855948i | ||||
\(136\) | 4.30146 | + | 4.77726i | 0.368847 | + | 0.409646i | ||||
\(137\) | −3.12437 | + | 3.46996i | −0.266933 | + | 0.296459i | −0.861678 | − | 0.507455i | \(-0.830586\pi\) |
0.594745 | + | 0.803914i | \(0.297253\pi\) | |||||||
\(138\) | −0.139886 | − | 1.33093i | −0.0119079 | − | 0.113296i | ||||
\(139\) | 1.32794 | + | 4.08699i | 0.112635 | + | 0.346654i | 0.991446 | − | 0.130515i | \(-0.0416630\pi\) |
−0.878812 | + | 0.477169i | \(0.841663\pi\) | |||||||
\(140\) | −1.20906 | − | 3.72109i | −0.102184 | − | 0.314490i | ||||
\(141\) | −0.227296 | − | 2.16258i | −0.0191418 | − | 0.182122i | ||||
\(142\) | 5.77583 | − | 6.41471i | 0.484697 | − | 0.538310i | ||||
\(143\) | 1.57370 | + | 1.74778i | 0.131600 | + | 0.146156i | ||||
\(144\) | −0.104528 | + | 0.994522i | −0.00871071 | + | 0.0828768i | ||||
\(145\) | −0.120857 | + | 0.0256890i | −0.0100367 | + | 0.00213336i | ||||
\(146\) | −14.1411 | − | 6.29602i | −1.17033 | − | 0.521063i | ||||
\(147\) | 6.72161 | − | 4.88353i | 0.554389 | − | 0.402787i | ||||
\(148\) | −0.264824 | + | 0.117907i | −0.0217684 | + | 0.00969192i | ||||
\(149\) | −8.75414 | + | 15.1626i | −0.717167 | + | 1.24217i | 0.244950 | + | 0.969536i | \(0.421228\pi\) |
−0.962118 | + | 0.272635i | \(0.912105\pi\) | |||||||
\(150\) | 0.500000 | + | 0.866025i | 0.0408248 | + | 0.0707107i | ||||
\(151\) | −9.13216 | − | 6.63491i | −0.743165 | − | 0.539941i | 0.150536 | − | 0.988605i | \(-0.451900\pi\) |
−0.893701 | + | 0.448664i | \(0.851900\pi\) | |||||||
\(152\) | −5.53062 | − | 1.17557i | −0.448593 | − | 0.0953514i | ||||
\(153\) | 1.98649 | − | 6.11380i | 0.160599 | − | 0.494272i | ||||
\(154\) | 25.5874 | 2.06189 | ||||||||
\(155\) | 0.321142 | + | 5.55850i | 0.0257948 | + | 0.446469i | ||||
\(156\) | −0.359625 | −0.0287931 | ||||||||
\(157\) | −2.18343 | + | 6.71989i | −0.174256 | + | 0.536306i | −0.999599 | − | 0.0283267i | \(-0.990982\pi\) |
0.825342 | + | 0.564633i | \(0.190982\pi\) | |||||||
\(158\) | −6.34671 | − | 1.34903i | −0.504917 | − | 0.107323i | ||||
\(159\) | −3.27977 | − | 2.38289i | −0.260103 | − | 0.188976i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 2.61803 | − | 4.53457i | 0.206330 | − | 0.357374i | ||||
\(162\) | 0.913545 | − | 0.406737i | 0.0717749 | − | 0.0319562i | ||||
\(163\) | −3.32916 | + | 2.41878i | −0.260760 | + | 0.189453i | −0.710482 | − | 0.703715i | \(-0.751523\pi\) |
0.449722 | + | 0.893169i | \(0.351523\pi\) | |||||||
\(164\) | 8.46458 | + | 3.76867i | 0.660973 | + | 0.294284i | ||||
\(165\) | −6.39685 | + | 1.35969i | −0.497994 | + | 0.105852i | ||||
\(166\) | −0.461819 | + | 4.39391i | −0.0358441 | + | 0.341034i | ||||
\(167\) | −1.21944 | − | 1.35432i | −0.0943629 | − | 0.104801i | 0.694114 | − | 0.719865i | \(-0.255797\pi\) |
−0.788477 | + | 0.615065i | \(0.789130\pi\) | |||||||
\(168\) | −2.61803 | + | 2.90762i | −0.201986 | + | 0.224328i | ||||
\(169\) | 1.34535 | + | 12.8002i | 0.103489 | + | 0.984628i | ||||
\(170\) | −1.98649 | − | 6.11380i | −0.152357 | − | 0.468907i | ||||
\(171\) | 1.74724 | + | 5.37745i | 0.133615 | + | 0.411224i | ||||
\(172\) | 0.713426 | + | 6.78779i | 0.0543982 | + | 0.517564i | ||||
\(173\) | −11.7519 | + | 13.0518i | −0.893481 | + | 0.992311i | −0.999998 | − | 0.00199962i | \(-0.999363\pi\) |
0.106517 | + | 0.994311i | \(0.466030\pi\) | |||||||
\(174\) | 0.0826761 | + | 0.0918211i | 0.00626766 | + | 0.00696094i | ||||
\(175\) | −0.408977 | + | 3.89116i | −0.0309158 | + | 0.294144i | ||||
\(176\) | −6.39685 | + | 1.35969i | −0.482181 | + | 0.102491i | ||||
\(177\) | 4.54131 | + | 2.02192i | 0.341345 | + | 0.151977i | ||||
\(178\) | −5.07794 | + | 3.68934i | −0.380608 | + | 0.276528i | ||||
\(179\) | −20.4365 | + | 9.09894i | −1.52750 | + | 0.680087i | −0.986921 | − | 0.161207i | \(-0.948461\pi\) |
−0.540579 | + | 0.841293i | \(0.681795\pi\) | |||||||
\(180\) | 0.500000 | − | 0.866025i | 0.0372678 | − | 0.0645497i | ||||
\(181\) | 3.28444 | + | 5.68882i | 0.244131 | + | 0.422847i | 0.961887 | − | 0.273448i | \(-0.0881641\pi\) |
−0.717756 | + | 0.696295i | \(0.754831\pi\) | |||||||
\(182\) | −1.13834 | − | 0.827053i | −0.0843795 | − | 0.0613053i | ||||
\(183\) | 10.8374 | + | 2.30356i | 0.801124 | + | 0.170284i | ||||
\(184\) | −0.413545 | + | 1.27276i | −0.0304870 | + | 0.0938293i | ||||
\(185\) | 0.289886 | 0.0213128 | ||||||||
\(186\) | 4.65323 | − | 3.05736i | 0.341191 | − | 0.224177i | ||||
\(187\) | 42.0404 | 3.07430 | ||||||||
\(188\) | −0.671954 | + | 2.06806i | −0.0490073 | + | 0.150829i | ||||
\(189\) | 3.82709 | + | 0.813473i | 0.278380 | + | 0.0591715i | ||||
\(190\) | 4.57433 | + | 3.32344i | 0.331857 | + | 0.241108i | ||||
\(191\) | 5.34391 | + | 9.25592i | 0.386672 | + | 0.669735i | 0.992000 | − | 0.126241i | \(-0.0402914\pi\) |
−0.605328 | + | 0.795976i | \(0.706958\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −20.5322 | + | 9.14153i | −1.47794 | + | 0.658021i | −0.978107 | − | 0.208100i | \(-0.933272\pi\) |
−0.499833 | + | 0.866122i | \(0.666605\pi\) | |||||||
\(194\) | 11.0902 | − | 8.05748i | 0.796228 | − | 0.578493i | ||||
\(195\) | 0.328534 | + | 0.146273i | 0.0235268 | + | 0.0104748i | ||||
\(196\) | −8.12681 | + | 1.72741i | −0.580486 | + | 0.123386i | ||||
\(197\) | 2.06040 | − | 19.6034i | 0.146797 | − | 1.39668i | −0.634692 | − | 0.772765i | \(-0.718873\pi\) |
0.781490 | − | 0.623918i | \(-0.214460\pi\) | |||||||
\(198\) | 4.37595 | + | 4.85999i | 0.310986 | + | 0.345384i | ||||
\(199\) | 0.647664 | − | 0.719304i | 0.0459117 | − | 0.0509901i | −0.719752 | − | 0.694232i | \(-0.755744\pi\) |
0.765663 | + | 0.643242i | \(0.222411\pi\) | |||||||
\(200\) | −0.104528 | − | 0.994522i | −0.00739128 | − | 0.0703233i | ||||
\(201\) | −3.70479 | − | 11.4022i | −0.261316 | − | 0.804247i | ||||
\(202\) | 2.66680 | + | 8.20755i | 0.187635 | + | 0.577481i | ||||
\(203\) | 0.0505322 | + | 0.480781i | 0.00354666 | + | 0.0337442i | ||||
\(204\) | −4.30146 | + | 4.77726i | −0.301162 | + | 0.334475i | ||||
\(205\) | −6.19992 | − | 6.88571i | −0.433021 | − | 0.480919i | ||||
\(206\) | −1.81795 | + | 17.2967i | −0.126663 | + | 1.20512i | ||||
\(207\) | 1.30902 | − | 0.278240i | 0.0909830 | − | 0.0193390i | ||||
\(208\) | 0.328534 | + | 0.146273i | 0.0227797 | + | 0.0101422i | ||||
\(209\) | −29.9150 | + | 21.7345i | −2.06927 | + | 1.50341i | ||||
\(210\) | 3.57433 | − | 1.59139i | 0.246652 | − | 0.109817i | ||||
\(211\) | 11.0195 | − | 19.0863i | 0.758611 | − | 1.31395i | −0.184949 | − | 0.982748i | \(-0.559212\pi\) |
0.943559 | − | 0.331204i | \(-0.107455\pi\) | |||||||
\(212\) | 2.02701 | + | 3.51089i | 0.139216 | + | 0.241129i | ||||
\(213\) | 6.98331 | + | 5.07367i | 0.478488 | + | 0.347642i | ||||
\(214\) | 5.79817 | + | 1.23244i | 0.396355 | + | 0.0842478i | ||||
\(215\) | 2.10910 | − | 6.49113i | 0.143839 | − | 0.442692i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 21.7603 | + | 1.02368i | 1.47719 | + | 0.0694920i | ||||
\(218\) | 4.73948 | 0.320998 | ||||||||
\(219\) | 4.78339 | − | 14.7217i | 0.323231 | − | 0.994804i | ||||
\(220\) | 6.39685 | + | 1.35969i | 0.431276 | + | 0.0916705i | ||||
\(221\) | −1.87031 | − | 1.35886i | −0.125810 | − | 0.0914067i | ||||
\(222\) | −0.144943 | − | 0.251049i | −0.00972794 | − | 0.0168493i | ||||
\(223\) | 12.8028 | − | 22.1752i | 0.857342 | − | 1.48496i | −0.0171140 | − | 0.999854i | \(-0.505448\pi\) |
0.874456 | − | 0.485106i | \(-0.161219\pi\) | |||||||
\(224\) | 3.57433 | − | 1.59139i | 0.238820 | − | 0.106329i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | −10.8232 | − | 4.81882i | −0.719952 | − | 0.320543i | ||||
\(227\) | 6.51584 | − | 1.38498i | 0.432472 | − | 0.0919247i | 0.0134681 | − | 0.999909i | \(-0.495713\pi\) |
0.419003 | + | 0.907985i | \(0.362380\pi\) | |||||||
\(228\) | 0.591023 | − | 5.62321i | 0.0391415 | − | 0.372406i | ||||
\(229\) | −10.6513 | − | 11.8295i | −0.703857 | − | 0.781713i | 0.280128 | − | 0.959963i | \(-0.409623\pi\) |
−0.983985 | + | 0.178250i | \(0.942956\pi\) | |||||||
\(230\) | 0.895472 | − | 0.994522i | 0.0590456 | − | 0.0655768i | ||||
\(231\) | 2.67461 | + | 25.4472i | 0.175977 | + | 1.67431i | ||||
\(232\) | −0.0381813 | − | 0.117510i | −0.00250673 | − | 0.00771492i | ||||
\(233\) | 4.22723 | + | 13.0101i | 0.276935 | + | 0.852319i | 0.988701 | + | 0.149902i | \(0.0478958\pi\) |
−0.711766 | + | 0.702417i | \(0.752104\pi\) | |||||||
\(234\) | −0.0375911 | − | 0.357655i | −0.00245741 | − | 0.0233807i | ||||
\(235\) | 1.45502 | − | 1.61596i | 0.0949148 | − | 0.105414i | ||||
\(236\) | −3.32630 | − | 3.69423i | −0.216524 | − | 0.240474i | ||||
\(237\) | 0.678233 | − | 6.45295i | 0.0440560 | − | 0.419164i | ||||
\(238\) | −24.6022 | + | 5.22936i | −1.59472 | + | 0.338969i | ||||
\(239\) | −20.9688 | − | 9.33591i | −1.35636 | − | 0.603890i | −0.405665 | − | 0.914022i | \(-0.632960\pi\) |
−0.950694 | + | 0.310132i | \(0.899627\pi\) | |||||||
\(240\) | −0.809017 | + | 0.587785i | −0.0522218 | + | 0.0379414i | ||||
\(241\) | −18.3358 | + | 8.16361i | −1.18111 | + | 0.525864i | −0.900880 | − | 0.434069i | \(-0.857078\pi\) |
−0.280230 | + | 0.959933i | \(0.590411\pi\) | |||||||
\(242\) | −15.8842 | + | 27.5123i | −1.02108 | + | 1.76856i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −8.96352 | − | 6.51238i | −0.573831 | − | 0.416912i | ||||
\(245\) | 8.12681 | + | 1.72741i | 0.519203 | + | 0.110360i | ||||
\(246\) | −2.86324 | + | 8.81214i | −0.182553 | + | 0.561842i | ||||
\(247\) | 2.03339 | 0.129381 | ||||||||
\(248\) | −5.49448 | + | 0.900404i | −0.348900 | + | 0.0571757i | ||||
\(249\) | −4.41811 | −0.279987 | ||||||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | 26.9382 | + | 5.72590i | 1.70033 | + | 0.361415i | 0.952983 | − | 0.303024i | \(-0.0979962\pi\) |
0.747342 | + | 0.664439i | \(0.231330\pi\) | |||||||
\(252\) | −3.16535 | − | 2.29976i | −0.199398 | − | 0.144871i | ||||
\(253\) | 4.37595 | + | 7.57938i | 0.275114 | + | 0.476511i | ||||
\(254\) | −3.15622 | + | 5.46673i | −0.198039 | + | 0.343013i | ||||
\(255\) | 5.87266 | − | 2.61468i | 0.367760 | − | 0.163738i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −4.22112 | − | 1.87936i | −0.263306 | − | 0.117231i | 0.270838 | − | 0.962625i | \(-0.412699\pi\) |
−0.534144 | + | 0.845394i | \(0.679366\pi\) | |||||||
\(258\) | −6.67603 | + | 1.41903i | −0.415632 | + | 0.0883453i | ||||
\(259\) | 0.118557 | − | 1.12799i | 0.00736676 | − | 0.0700900i | ||||
\(260\) | −0.240636 | − | 0.267254i | −0.0149236 | − | 0.0165744i | ||||
\(261\) | −0.0826761 | + | 0.0918211i | −0.00511752 | + | 0.00568358i | ||||
\(262\) | −0.142319 | − | 1.35408i | −0.00879251 | − | 0.0836551i | ||||
\(263\) | −3.54936 | − | 10.9238i | −0.218863 | − | 0.673592i | −0.998857 | − | 0.0478041i | \(-0.984778\pi\) |
0.779994 | − | 0.625788i | \(-0.215222\pi\) | |||||||
\(264\) | −2.02090 | − | 6.21968i | −0.124378 | − | 0.382795i | ||||
\(265\) | −0.423761 | − | 4.03181i | −0.0260314 | − | 0.247672i | ||||
\(266\) | 14.8028 | − | 16.4402i | 0.907620 | − | 1.00801i | ||||
\(267\) | −4.19992 | − | 4.66448i | −0.257031 | − | 0.285462i | ||||
\(268\) | −1.25319 | + | 11.9233i | −0.0765506 | + | 0.728330i | ||||
\(269\) | −9.62931 | + | 2.04677i | −0.587109 | + | 0.124794i | −0.491882 | − | 0.870662i | \(-0.663691\pi\) |
−0.0952268 | + | 0.995456i | \(0.530358\pi\) | |||||||
\(270\) | 0.913545 | + | 0.406737i | 0.0555966 | + | 0.0247532i | ||||
\(271\) | 7.02307 | − | 5.10256i | 0.426621 | − | 0.309958i | −0.353675 | − | 0.935368i | \(-0.615068\pi\) |
0.780296 | + | 0.625410i | \(0.215068\pi\) | |||||||
\(272\) | 5.87266 | − | 2.61468i | 0.356083 | − | 0.158538i | ||||
\(273\) | 0.703533 | − | 1.21856i | 0.0425798 | − | 0.0737503i | ||||
\(274\) | 2.33465 | + | 4.04373i | 0.141041 | + | 0.244291i | ||||
\(275\) | −5.29078 | − | 3.84398i | −0.319046 | − | 0.231800i | ||||
\(276\) | −1.30902 | − | 0.278240i | −0.0787936 | − | 0.0167481i | ||||
\(277\) | −0.480771 | + | 1.47966i | −0.0288868 | + | 0.0889043i | −0.964460 | − | 0.264227i | \(-0.914883\pi\) |
0.935574 | + | 0.353131i | \(0.114883\pi\) | |||||||
\(278\) | 4.29732 | 0.257736 | ||||||||
\(279\) | 3.52701 | + | 4.30815i | 0.211157 | + | 0.257922i | ||||
\(280\) | −3.91259 | −0.233822 | ||||||||
\(281\) | 6.31303 | − | 19.4295i | 0.376604 | − | 1.15907i | −0.565786 | − | 0.824552i | \(-0.691427\pi\) |
0.942390 | − | 0.334516i | \(-0.108573\pi\) | |||||||
\(282\) | −2.12697 | − | 0.452102i | −0.126659 | − | 0.0269223i | ||||
\(283\) | 7.86501 | + | 5.71426i | 0.467526 | + | 0.339678i | 0.796476 | − | 0.604670i | \(-0.206695\pi\) |
−0.328950 | + | 0.944347i | \(0.606695\pi\) | |||||||
\(284\) | −4.31592 | − | 7.47539i | −0.256103 | − | 0.443583i | ||||
\(285\) | −2.82709 | + | 4.89667i | −0.167462 | + | 0.290053i | ||||
\(286\) | 2.14853 | − | 0.956589i | 0.127046 | − | 0.0565643i | ||||
\(287\) | −29.3290 | + | 21.3088i | −1.73124 | + | 1.25782i | ||||
\(288\) | 0.913545 | + | 0.406737i | 0.0538312 | + | 0.0239672i | ||||
\(289\) | −23.7932 | + | 5.05740i | −1.39960 | + | 0.297494i | ||||
\(290\) | −0.0129153 | + | 0.122881i | −0.000758411 | + | 0.00721580i | ||||
\(291\) | 9.17258 | + | 10.1872i | 0.537706 | + | 0.597183i | ||||
\(292\) | −10.3577 | + | 11.5034i | −0.606139 | + | 0.673186i | ||||
\(293\) | 0.109750 | + | 1.04420i | 0.00641167 | + | 0.0610030i | 0.997260 | − | 0.0739778i | \(-0.0235694\pi\) |
−0.990848 | + | 0.134981i | \(0.956903\pi\) | |||||||
\(294\) | −2.56743 | − | 7.90172i | −0.149735 | − | 0.460838i | ||||
\(295\) | 1.53615 | + | 4.72778i | 0.0894380 | + | 0.275262i | ||||
\(296\) | 0.0303013 | + | 0.288298i | 0.00176123 | + | 0.0167570i | ||||
\(297\) | −4.37595 | + | 4.85999i | −0.253919 | + | 0.282005i | ||||
\(298\) | 11.7153 | + | 13.0112i | 0.678651 | + | 0.753718i | ||||
\(299\) | 0.0503067 | − | 0.478636i | 0.00290931 | − | 0.0276803i | ||||
\(300\) | 0.978148 | − | 0.207912i | 0.0564734 | − | 0.0120038i | ||||
\(301\) | −24.3954 | − | 10.8616i | −1.40613 | − | 0.626049i | ||||
\(302\) | −9.13216 | + | 6.63491i | −0.525497 | + | 0.381796i | ||||
\(303\) | −7.88383 | + | 3.51011i | −0.452914 | + | 0.201651i | ||||
\(304\) | −2.82709 | + | 4.89667i | −0.162145 | + | 0.280843i | ||||
\(305\) | 5.53976 | + | 9.59515i | 0.317206 | + | 0.549417i | ||||
\(306\) | −5.20071 | − | 3.77854i | −0.297305 | − | 0.216005i | ||||
\(307\) | −21.1069 | − | 4.48642i | −1.20464 | − | 0.256053i | −0.438500 | − | 0.898731i | \(-0.644490\pi\) |
−0.766136 | + | 0.642678i | \(0.777823\pi\) | |||||||
\(308\) | 7.90694 | − | 24.3351i | 0.450540 | − | 1.38662i | ||||
\(309\) | −17.3920 | −0.989394 | ||||||||
\(310\) | 5.38568 | + | 1.41224i | 0.305886 | + | 0.0802101i | ||||
\(311\) | 6.66523 | 0.377950 | 0.188975 | − | 0.981982i | \(-0.439483\pi\) | ||||
0.188975 | + | 0.981982i | \(0.439483\pi\) | |||||||
\(312\) | −0.111130 | + | 0.342024i | −0.00629152 | + | 0.0193633i | ||||
\(313\) | 22.1355 | + | 4.70504i | 1.25117 | + | 0.265944i | 0.785415 | − | 0.618969i | \(-0.212450\pi\) |
0.465755 | + | 0.884914i | \(0.345783\pi\) | |||||||
\(314\) | 5.71628 | + | 4.15312i | 0.322589 | + | 0.234374i | ||||
\(315\) | 1.95630 | + | 3.38840i | 0.110225 | + | 0.190915i | ||||
\(316\) | −3.24425 | + | 5.61921i | −0.182503 | + | 0.316105i | ||||
\(317\) | 18.4001 | − | 8.19226i | 1.03345 | − | 0.460123i | 0.181307 | − | 0.983427i | \(-0.441967\pi\) |
0.852146 | + | 0.523303i | \(0.175301\pi\) | |||||||
\(318\) | −3.27977 | + | 2.38289i | −0.183921 | + | 0.133626i | ||||
\(319\) | −0.738178 | − | 0.328658i | −0.0413300 | − | 0.0184013i | ||||
\(320\) | 0.978148 | − | 0.207912i | 0.0546801 | − | 0.0116226i | ||||
\(321\) | −0.619614 | + | 5.89523i | −0.0345835 | + | 0.329040i | ||||
\(322\) | −3.50361 | − | 3.89116i | −0.195249 | − | 0.216846i | ||||
\(323\) | 24.3212 | − | 27.0115i | 1.35327 | − | 1.50296i | ||||
\(324\) | −0.104528 | − | 0.994522i | −0.00580714 | − | 0.0552512i | ||||
\(325\) | 0.111130 | + | 0.342024i | 0.00616440 | + | 0.0189721i | ||||
\(326\) | 1.27163 | + | 3.91366i | 0.0704288 | + | 0.216758i | ||||
\(327\) | 0.495410 | + | 4.71351i | 0.0273963 | + | 0.260658i | ||||
\(328\) | 6.19992 | − | 6.88571i | 0.342333 | − | 0.380200i | ||||
\(329\) | −5.69289 | − | 6.32259i | −0.313859 | − | 0.348576i | ||||
\(330\) | −0.683591 | + | 6.50394i | −0.0376305 | + | 0.358030i | ||||
\(331\) | 10.1251 | − | 2.15216i | 0.556528 | − | 0.118294i | 0.0789428 | − | 0.996879i | \(-0.474846\pi\) |
0.477585 | + | 0.878585i | \(0.341512\pi\) | |||||||
\(332\) | 4.03615 | + | 1.79701i | 0.221512 | + | 0.0986237i | ||||
\(333\) | 0.234523 | − | 0.170391i | 0.0128518 | − | 0.00933735i | ||||
\(334\) | −1.66486 | + | 0.741245i | −0.0910973 | + | 0.0405591i | ||||
\(335\) | 5.99448 | − | 10.3827i | 0.327513 | − | 0.567270i | ||||
\(336\) | 1.95630 | + | 3.38840i | 0.106725 | + | 0.184853i | ||||
\(337\) | 9.68375 | + | 7.03566i | 0.527507 | + | 0.383257i | 0.819425 | − | 0.573187i | \(-0.194293\pi\) |
−0.291917 | + | 0.956444i | \(0.594293\pi\) | |||||||
\(338\) | 12.5894 | + | 2.67596i | 0.684774 | + | 0.145553i | ||||
\(339\) | 3.66109 | − | 11.2677i | 0.198843 | − | 0.611975i | ||||
\(340\) | −6.42843 | −0.348631 | ||||||||
\(341\) | −19.6676 | + | 30.6432i | −1.06506 | + | 1.65942i | ||||
\(342\) | 5.65418 | 0.305743 | ||||||||
\(343\) | 1.58189 | − | 4.86854i | 0.0854138 | − | 0.262877i | ||||
\(344\) | 6.67603 | + | 1.41903i | 0.359948 | + | 0.0765092i | ||||
\(345\) | 1.08268 | + | 0.786610i | 0.0582893 | + | 0.0423497i | ||||
\(346\) | 8.78148 | + | 15.2100i | 0.472095 | + | 0.817693i | ||||
\(347\) | −3.80126 | + | 6.58398i | −0.204062 | + | 0.353446i | −0.949834 | − | 0.312756i | \(-0.898748\pi\) |
0.745771 | + | 0.666202i | \(0.232081\pi\) | |||||||
\(348\) | 0.112875 | − | 0.0502553i | 0.00605075 | − | 0.00269397i | ||||
\(349\) | 4.47660 | − | 3.25244i | 0.239627 | − | 0.174099i | −0.461490 | − | 0.887145i | \(-0.652685\pi\) |
0.701117 | + | 0.713046i | \(0.252685\pi\) | |||||||
\(350\) | 3.57433 | + | 1.59139i | 0.191056 | + | 0.0850636i | ||||
\(351\) | 0.351767 | − | 0.0747703i | 0.0187759 | − | 0.00399094i | ||||
\(352\) | −0.683591 | + | 6.50394i | −0.0364355 | + | 0.346661i | ||||
\(353\) | −7.07640 | − | 7.85914i | −0.376639 | − | 0.418300i | 0.524787 | − | 0.851234i | \(-0.324145\pi\) |
−0.901426 | + | 0.432934i | \(0.857478\pi\) | |||||||
\(354\) | 3.32630 | − | 3.69423i | 0.176791 | − | 0.196346i | ||||
\(355\) | 0.902273 | + | 8.58456i | 0.0478877 | + | 0.455621i | ||||
\(356\) | 1.93960 | + | 5.96948i | 0.102799 | + | 0.316382i | ||||
\(357\) | −7.77234 | − | 23.9208i | −0.411356 | − | 1.26602i | ||||
\(358\) | 2.33836 | + | 22.2480i | 0.123586 | + | 1.17585i | ||||
\(359\) | −0.339568 | + | 0.377128i | −0.0179217 | + | 0.0199041i | −0.752039 | − | 0.659119i | \(-0.770930\pi\) |
0.734117 | + | 0.679023i | \(0.237596\pi\) | |||||||
\(360\) | −0.669131 | − | 0.743145i | −0.0352663 | − | 0.0391672i | ||||
\(361\) | −1.35571 | + | 12.8987i | −0.0713532 | + | 0.678880i | ||||
\(362\) | 6.42534 | − | 1.36575i | 0.337708 | − | 0.0717821i | ||||
\(363\) | −29.0219 | − | 12.9214i | −1.52326 | − | 0.678198i | ||||
\(364\) | −1.13834 | + | 0.827053i | −0.0596653 | + | 0.0433494i | ||||
\(365\) | 14.1411 | − | 6.29602i | 0.740179 | − | 0.329549i | ||||
\(366\) | 5.53976 | − | 9.59515i | 0.289568 | − | 0.501546i | ||||
\(367\) | 9.95630 | + | 17.2448i | 0.519714 | + | 0.900172i | 0.999737 | + | 0.0229158i | \(0.00729497\pi\) |
−0.480023 | + | 0.877256i | \(0.659372\pi\) | |||||||
\(368\) | 1.08268 | + | 0.786610i | 0.0564384 | + | 0.0410049i | ||||
\(369\) | −9.06316 | − | 1.92643i | −0.471809 | − | 0.100286i | ||||
\(370\) | 0.0895797 | − | 0.275698i | 0.00465703 | − | 0.0143329i | ||||
\(371\) | −15.8617 | −0.823500 | ||||||||
\(372\) | −1.46980 | − | 5.37026i | −0.0762056 | − | 0.278435i | ||||
\(373\) | −22.9573 | −1.18869 | −0.594343 | − | 0.804212i | \(-0.702588\pi\) | ||||
−0.594343 | + | 0.804212i | \(0.702588\pi\) | |||||||
\(374\) | 12.9912 | − | 39.9828i | 0.671759 | − | 2.06746i | ||||
\(375\) | −0.978148 | − | 0.207912i | −0.0505113 | − | 0.0107365i | ||||
\(376\) | 1.75920 | + | 1.27813i | 0.0907237 | + | 0.0659147i | ||||
\(377\) | 0.0222172 | + | 0.0384813i | 0.00114424 | + | 0.00198189i | ||||
\(378\) | 1.95630 | − | 3.38840i | 0.100621 | − | 0.174281i | ||||
\(379\) | −0.791547 | + | 0.352419i | −0.0406590 | + | 0.0181026i | −0.426965 | − | 0.904268i | \(-0.640417\pi\) |
0.386306 | + | 0.922371i | \(0.373751\pi\) | |||||||
\(380\) | 4.57433 | − | 3.32344i | 0.234658 | − | 0.170489i | ||||
\(381\) | −5.76669 | − | 2.56750i | −0.295437 | − | 0.131537i | ||||
\(382\) | 10.4543 | − | 2.22212i | 0.534887 | − | 0.113694i | ||||
\(383\) | 2.59614 | − | 24.7006i | 0.132657 | − | 1.26214i | −0.702322 | − | 0.711860i | \(-0.747853\pi\) |
0.834978 | − | 0.550283i | \(-0.185480\pi\) | |||||||
\(384\) | −0.669131 | − | 0.743145i | −0.0341464 | − | 0.0379235i | ||||
\(385\) | −17.1213 | + | 19.0151i | −0.872583 | + | 0.969102i | ||||
\(386\) | 2.34931 | + | 22.3522i | 0.119577 | + | 1.13770i | ||||
\(387\) | −2.10910 | − | 6.49113i | −0.107211 | − | 0.329963i | ||||
\(388\) | −4.23607 | − | 13.0373i | −0.215054 | − | 0.661867i | ||||
\(389\) | 1.86655 | + | 17.7590i | 0.0946379 | + | 0.900419i | 0.934103 | + | 0.357005i | \(0.116202\pi\) |
−0.839465 | + | 0.543414i | \(0.817131\pi\) | |||||||
\(390\) | 0.240636 | − | 0.267254i | 0.0121851 | − | 0.0135329i | ||||
\(391\) | −5.75648 | − | 6.39322i | −0.291118 | − | 0.323319i | ||||
\(392\) | −0.868460 | + | 8.26285i | −0.0438639 | + | 0.417337i | ||||
\(393\) | 1.33178 | − | 0.283079i | 0.0671796 | − | 0.0142795i | ||||
\(394\) | −18.0072 | − | 8.01733i | −0.907191 | − | 0.403907i | ||||
\(395\) | 5.24931 | − | 3.81384i | 0.264121 | − | 0.191895i | ||||
\(396\) | 5.97437 | − | 2.65996i | 0.300223 | − | 0.133668i | ||||
\(397\) | −19.4006 | + | 33.6028i | −0.973688 | + | 1.68648i | −0.289491 | + | 0.957181i | \(0.593486\pi\) |
−0.684197 | + | 0.729297i | \(0.739847\pi\) | |||||||
\(398\) | −0.483960 | − | 0.838243i | −0.0242587 | − | 0.0420173i | ||||
\(399\) | 17.8975 | + | 13.0033i | 0.895995 | + | 0.650978i | ||||
\(400\) | −0.978148 | − | 0.207912i | −0.0489074 | − | 0.0103956i | ||||
\(401\) | 5.97226 | − | 18.3807i | 0.298240 | − | 0.917890i | −0.683873 | − | 0.729601i | \(-0.739706\pi\) |
0.982114 | − | 0.188289i | \(-0.0602941\pi\) | |||||||
\(402\) | −11.9890 | −0.597955 | ||||||||
\(403\) | 1.86545 | − | 0.727556i | 0.0929247 | − | 0.0362421i | ||||
\(404\) | 8.62993 | 0.429355 | ||||||||
\(405\) | −0.309017 | + | 0.951057i | −0.0153552 | + | 0.0472584i | ||||
\(406\) | 0.472866 | + | 0.100511i | 0.0234679 | + | 0.00498826i | ||||
\(407\) | 1.53372 | + | 1.11431i | 0.0760238 | + | 0.0552345i | ||||
\(408\) | 3.21422 | + | 5.56718i | 0.159127 | + | 0.275617i | ||||
\(409\) | 14.1030 | − | 24.4272i | 0.697350 | − | 1.20784i | −0.272033 | − | 0.962288i | \(-0.587696\pi\) |
0.969382 | − | 0.245557i | \(-0.0789708\pi\) | |||||||
\(410\) | −8.46458 | + | 3.76867i | −0.418036 | + | 0.186122i | ||||
\(411\) | −3.77754 | + | 2.74454i | −0.186332 | + | 0.135378i | ||||
\(412\) | 15.8883 | + | 7.07394i | 0.782762 | + | 0.348508i | ||||
\(413\) | 19.0248 | − | 4.04384i | 0.936148 | − | 0.198984i | ||||
\(414\) | 0.139886 | − | 1.33093i | 0.00687504 | − | 0.0654116i | ||||
\(415\) | −2.95630 | − | 3.28330i | −0.145119 | − | 0.161171i | ||||
\(416\) | 0.240636 | − | 0.267254i | 0.0117982 | − | 0.0131032i | ||||
\(417\) | 0.449192 | + | 4.27378i | 0.0219970 | + | 0.209288i | ||||
\(418\) | 11.4265 | + | 35.1672i | 0.558889 | + | 1.72008i | ||||
\(419\) | −10.7147 | − | 32.9765i | −0.523449 | − | 1.61101i | −0.767363 | − | 0.641212i | \(-0.778432\pi\) |
0.243915 | − | 0.969797i | \(-0.421568\pi\) | |||||||
\(420\) | −0.408977 | − | 3.89116i | −0.0199560 | − | 0.189869i | ||||
\(421\) | 25.5097 | − | 28.3314i | 1.24327 | − | 1.38079i | 0.346645 | − | 0.937997i | \(-0.387321\pi\) |
0.896624 | − | 0.442793i | \(-0.146012\pi\) | |||||||
\(422\) | −14.7469 | − | 16.3781i | −0.717868 | − | 0.797273i | ||||
\(423\) | 0.227296 | − | 2.16258i | 0.0110515 | − | 0.105148i | ||||
\(424\) | 3.96543 | − | 0.842879i | 0.192578 | − | 0.0409338i | ||||
\(425\) | 5.87266 | + | 2.61468i | 0.284866 | + | 0.126831i | ||||
\(426\) | 6.98331 | − | 5.07367i | 0.338342 | − | 0.245820i | ||||
\(427\) | 39.6019 | − | 17.6319i | 1.91647 | − | 0.853267i | ||||
\(428\) | 2.96385 | − | 5.13354i | 0.143263 | − | 0.248139i | ||||
\(429\) | 1.17593 | + | 2.03677i | 0.0567745 | + | 0.0983364i | ||||
\(430\) | −5.52169 | − | 4.01174i | −0.266279 | − | 0.193463i | ||||
\(431\) | 35.2948 | + | 7.50215i | 1.70009 | + | 0.361366i | 0.952910 | − | 0.303254i | \(-0.0980729\pi\) |
0.747182 | + | 0.664619i | \(0.231406\pi\) | |||||||
\(432\) | −0.309017 | + | 0.951057i | −0.0148676 | + | 0.0457577i | ||||
\(433\) | 13.0958 | 0.629346 | 0.314673 | − | 0.949200i | \(-0.398105\pi\) | ||||
0.314673 | + | 0.949200i | \(0.398105\pi\) | |||||||
\(434\) | 7.69789 | − | 20.3790i | 0.369510 | − | 0.978221i | ||||
\(435\) | −0.123557 | −0.00592413 | ||||||||
\(436\) | 1.46458 | − | 4.50751i | 0.0701406 | − | 0.215871i | ||||
\(437\) | 7.40142 | + | 1.57322i | 0.354058 | + | 0.0752573i | ||||
\(438\) | −12.5231 | − | 9.09854i | −0.598375 | − | 0.434745i | ||||
\(439\) | −0.0397897 | − | 0.0689178i | −0.00189906 | − | 0.00328927i | 0.865074 | − | 0.501644i | \(-0.167271\pi\) |
−0.866973 | + | 0.498354i | \(0.833938\pi\) | |||||||
\(440\) | 3.26988 | − | 5.66360i | 0.155885 | − | 0.270002i | ||||
\(441\) | 7.59007 | − | 3.37932i | 0.361432 | − | 0.160920i | ||||
\(442\) | −1.87031 | + | 1.35886i | −0.0889615 | + | 0.0646343i | ||||
\(443\) | 3.50650 | + | 1.56119i | 0.166599 | + | 0.0741746i | 0.488342 | − | 0.872653i | \(-0.337602\pi\) |
−0.321743 | + | 0.946827i | \(0.604269\pi\) | |||||||
\(444\) | −0.283551 | + | 0.0602707i | −0.0134567 | + | 0.00286032i | ||||
\(445\) | 0.656092 | − | 6.24230i | 0.0311017 | − | 0.295913i | ||||
\(446\) | −17.1335 | − | 19.0287i | −0.811297 | − | 0.901036i | ||||
\(447\) | −11.7153 | + | 13.0112i | −0.554116 | + | 0.615408i | ||||
\(448\) | −0.408977 | − | 3.89116i | −0.0193223 | − | 0.183840i | ||||
\(449\) | 11.0453 | + | 33.9939i | 0.521259 | + | 1.60427i | 0.771597 | + | 0.636112i | \(0.219458\pi\) |
−0.250337 | + | 0.968159i | \(0.580542\pi\) | |||||||
\(450\) | 0.309017 | + | 0.951057i | 0.0145672 | + | 0.0448332i | ||||
\(451\) | −6.33391 | − | 60.2631i | −0.298252 | − | 2.83768i | ||||
\(452\) | −7.92754 | + | 8.80442i | −0.372880 | + | 0.414125i | ||||
\(453\) | −7.55313 | − | 8.38860i | −0.354877 | − | 0.394131i | ||||
\(454\) | 0.696307 | − | 6.62492i | 0.0326793 | − | 0.310923i | ||||
\(455\) | 1.37632 | − | 0.292546i | 0.0645228 | − | 0.0137148i | ||||
\(456\) | −5.16535 | − | 2.29976i | −0.241890 | − | 0.107696i | ||||
\(457\) | −9.26052 | + | 6.72816i | −0.433189 | + | 0.314730i | −0.782923 | − | 0.622119i | \(-0.786272\pi\) |
0.349734 | + | 0.936849i | \(0.386272\pi\) | |||||||
\(458\) | −14.5419 | + | 6.47448i | −0.679499 | + | 0.302533i | ||||
\(459\) | 3.21422 | − | 5.56718i | 0.150027 | − | 0.259854i | ||||
\(460\) | −0.669131 | − | 1.15897i | −0.0311984 | − | 0.0540372i | ||||
\(461\) | 21.1526 | + | 15.3683i | 0.985175 | + | 0.715771i | 0.958859 | − | 0.283882i | \(-0.0916226\pi\) |
0.0263155 | + | 0.999654i | \(0.491623\pi\) | |||||||
\(462\) | 25.0283 | + | 5.31992i | 1.16442 | + | 0.247505i | ||||
\(463\) | 1.78903 | − | 5.50608i | 0.0831434 | − | 0.255889i | −0.900839 | − | 0.434152i | \(-0.857048\pi\) |
0.983983 | + | 0.178263i | \(0.0570479\pi\) | |||||||
\(464\) | −0.123557 | −0.00573601 | ||||||||
\(465\) | −0.841551 | + | 5.50380i | −0.0390260 | + | 0.255233i | ||||
\(466\) | 13.6796 | 0.633696 | ||||||||
\(467\) | 7.39216 | − | 22.7507i | 0.342068 | − | 1.05278i | −0.621066 | − | 0.783758i | \(-0.713300\pi\) |
0.963135 | − | 0.269020i | \(-0.0866997\pi\) | |||||||
\(468\) | −0.351767 | − | 0.0747703i | −0.0162604 | − | 0.00345626i | ||||
\(469\) | −37.9493 | − | 27.5717i | −1.75233 | − | 1.27315i | ||||
\(470\) | −1.08724 | − | 1.88316i | −0.0501508 | − | 0.0868638i | ||||
\(471\) | −3.53286 | + | 6.11909i | −0.162785 | + | 0.281953i | ||||
\(472\) | −4.54131 | + | 2.02192i | −0.209031 | + | 0.0930664i | ||||
\(473\) | 36.1105 | − | 26.2358i | 1.66036 | − | 1.20632i | ||||
\(474\) | −5.92754 | − | 2.63911i | −0.272261 | − | 0.121218i | ||||
\(475\) | −5.53062 | + | 1.17557i | −0.253762 | + | 0.0539389i | ||||
\(476\) | −2.62908 | + | 25.0140i | −0.120504 | + | 1.14652i | ||||
\(477\) | −2.71267 | − | 3.01273i | −0.124205 | − | 0.137943i | ||||
\(478\) | −15.3587 | + | 17.0576i | −0.702490 | + | 0.780194i | ||||
\(479\) | −0.853456 | − | 8.12009i | −0.0389954 | − | 0.371016i | −0.996565 | − | 0.0828143i | \(-0.973609\pi\) |
0.957570 | − | 0.288202i | \(-0.0930575\pi\) | |||||||
\(480\) | 0.309017 | + | 0.951057i | 0.0141046 | + | 0.0434096i | ||||
\(481\) | −0.0322151 | − | 0.0991480i | −0.00146888 | − | 0.00452076i | ||||
\(482\) | 2.09799 | + | 19.9610i | 0.0955608 | + | 0.909200i | ||||
\(483\) | 3.50361 | − | 3.89116i | 0.159420 | − | 0.177054i | ||||
\(484\) | 21.2573 | + | 23.6086i | 0.966239 | + | 1.07312i | ||||
\(485\) | −1.43290 | + | 13.6331i | −0.0650645 | + | 0.619048i | ||||
\(486\) | 0.978148 | − | 0.207912i | 0.0443697 | − | 0.00943107i | ||||
\(487\) | 5.73441 | + | 2.55312i | 0.259851 | + | 0.115693i | 0.532528 | − | 0.846413i | \(-0.321242\pi\) |
−0.272677 | + | 0.962106i | \(0.587909\pi\) | |||||||
\(488\) | −8.96352 | + | 6.51238i | −0.405760 | + | 0.294802i | ||||
\(489\) | −3.75930 | + | 1.67375i | −0.170001 | + | 0.0756895i | ||||
\(490\) | 4.15418 | − | 7.19525i | 0.187667 | − | 0.325048i | ||||
\(491\) | −6.21487 | − | 10.7645i | −0.280473 | − | 0.485794i | 0.691028 | − | 0.722828i | \(-0.257158\pi\) |
−0.971501 | + | 0.237034i | \(0.923825\pi\) | |||||||
\(492\) | 7.49606 | + | 5.44620i | 0.337948 | + | 0.245534i | ||||
\(493\) | 0.776924 | + | 0.165140i | 0.0349909 | + | 0.00743754i | ||||
\(494\) | 0.628351 | − | 1.93387i | 0.0282709 | − | 0.0870088i | ||||
\(495\) | −6.53976 | −0.293940 | ||||||||
\(496\) | −0.841551 | + | 5.50380i | −0.0377868 | + | 0.247128i | ||||
\(497\) | 33.7729 | 1.51492 | ||||||||
\(498\) | −1.36527 | + | 4.20188i | −0.0611793 | + | 0.188291i | ||||
\(499\) | 18.9682 | + | 4.03181i | 0.849133 | + | 0.180489i | 0.611872 | − | 0.790957i | \(-0.290417\pi\) |
0.237261 | + | 0.971446i | \(0.423750\pi\) | |||||||
\(500\) | 0.809017 | + | 0.587785i | 0.0361803 | + | 0.0262866i | ||||
\(501\) | −0.911210 | − | 1.57826i | −0.0407099 | − | 0.0705116i | ||||
\(502\) | 13.7700 | − | 23.8504i | 0.614586 | − | 1.06449i | ||||
\(503\) | −28.3442 | + | 12.6196i | −1.26380 | + | 0.562682i | −0.925640 | − | 0.378405i | \(-0.876473\pi\) |
−0.338164 | + | 0.941087i | \(0.609806\pi\) | |||||||
\(504\) | −3.16535 | + | 2.29976i | −0.140996 | + | 0.102440i | ||||
\(505\) | −7.88383 | − | 3.51011i | −0.350826 | − | 0.156198i | ||||
\(506\) | 8.56066 | − | 1.81962i | 0.380568 | − | 0.0808922i | ||||
\(507\) | −1.34535 | + | 12.8002i | −0.0597491 | + | 0.568475i | ||||
\(508\) | 4.22384 | + | 4.69105i | 0.187403 | + | 0.208132i | ||||
\(509\) | 25.9928 | − | 28.8679i | 1.15211 | − | 1.27955i | 0.197963 | − | 0.980209i | \(-0.436567\pi\) |
0.954147 | − | 0.299338i | \(-0.0967659\pi\) | |||||||
\(510\) | −0.671954 | − | 6.39322i | −0.0297546 | − | 0.283096i | ||||
\(511\) | −18.7154 | − | 57.6002i | −0.827922 | − | 2.54808i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 0.591023 | + | 5.62321i | 0.0260943 | + | 0.248271i | ||||
\(514\) | −3.09178 | + | 3.43377i | −0.136372 | + | 0.151457i | ||||
\(515\) | −11.6375 | − | 12.9247i | −0.512809 | − | 0.569532i | ||||
\(516\) | −0.713426 | + | 6.78779i | −0.0314068 | + | 0.298816i | ||||
\(517\) | 13.9099 | − | 2.95664i | 0.611756 | − | 0.130033i | ||||
\(518\) | −1.03615 | − | 0.461323i | −0.0455257 | − | 0.0202694i | ||||
\(519\) | −14.2087 | + | 10.3232i | −0.623694 | + | 0.453140i | ||||
\(520\) | −0.328534 | + | 0.146273i | −0.0144072 | + | 0.00641449i | ||||
\(521\) | 1.79699 | − | 3.11248i | 0.0787275 | − | 0.136360i | −0.823974 | − | 0.566628i | \(-0.808248\pi\) |
0.902701 | + | 0.430268i | \(0.141581\pi\) | |||||||
\(522\) | 0.0617787 | + | 0.107004i | 0.00270398 | + | 0.00468343i | ||||
\(523\) | 16.6923 | + | 12.1277i | 0.729903 | + | 0.530306i | 0.889533 | − | 0.456871i | \(-0.151030\pi\) |
−0.159630 | + | 0.987177i | \(0.551030\pi\) | |||||||
\(524\) | −1.33178 | − | 0.283079i | −0.0581792 | − | 0.0123664i | ||||
\(525\) | −1.20906 | + | 3.72109i | −0.0527676 | + | 0.162402i | ||||
\(526\) | −11.4860 | −0.500813 | ||||||||
\(527\) | 12.6477 | − | 33.4829i | 0.550943 | − | 1.45854i | ||||
\(528\) | −6.53976 | −0.284607 | ||||||||
\(529\) | −6.55396 | + | 20.1710i | −0.284955 | + | 0.877001i | ||||
\(530\) | −3.96543 | − | 0.842879i | −0.172247 | − | 0.0366123i | ||||
\(531\) | 4.02169 | + | 2.92193i | 0.174526 | + | 0.126801i | ||||
\(532\) | −11.0612 | − | 19.1586i | −0.479566 | − | 0.830633i | ||||
\(533\) | −1.66608 | + | 2.88573i | −0.0721659 | + | 0.124995i | ||||
\(534\) | −5.73403 | + | 2.55296i | −0.248136 | + | 0.110477i | ||||
\(535\) | −4.79561 | + | 3.48422i | −0.207332 | + | 0.150636i | ||||
\(536\) | 10.9525 | + | 4.87635i | 0.473074 | + | 0.210626i | ||||
\(537\) | −21.8817 | + | 4.65111i | −0.944267 | + | 0.200710i | ||||
\(538\) | −1.02902 | + | 9.79050i | −0.0443643 | + | 0.422099i | ||||
\(539\) | 36.3570 | + | 40.3786i | 1.56601 | + | 1.73923i | ||||
\(540\) | 0.669131 | − | 0.743145i | 0.0287948 | − | 0.0319799i | ||||
\(541\) | −3.03330 | − | 28.8600i | −0.130412 | − | 1.24079i | −0.842500 | − | 0.538696i | \(-0.818917\pi\) |
0.712088 | − | 0.702090i | \(-0.247750\pi\) | |||||||
\(542\) | −2.68257 | − | 8.25611i | −0.115226 | − | 0.354630i | ||||
\(543\) | 2.02990 | + | 6.24738i | 0.0871112 | + | 0.268101i | ||||
\(544\) | −0.671954 | − | 6.39322i | −0.0288098 | − | 0.274107i | ||||
\(545\) | −3.17133 | + | 3.52212i | −0.135845 | + | 0.150871i | ||||
\(546\) | −0.941512 | − | 1.04565i | −0.0402930 | − | 0.0447499i | ||||
\(547\) | 0.0950011 | − | 0.903875i | 0.00406195 | − | 0.0386469i | −0.992303 | − | 0.123832i | \(-0.960482\pi\) |
0.996365 | + | 0.0851853i | \(0.0271482\pi\) | |||||||
\(548\) | 4.56726 | − | 0.970801i | 0.195104 | − | 0.0414706i | ||||
\(549\) | 10.1216 | + | 4.50645i | 0.431981 | + | 0.192331i | ||||
\(550\) | −5.29078 | + | 3.84398i | −0.225600 | + | 0.163908i | ||||
\(551\) | −0.638218 | + | 0.284153i | −0.0271890 | + | 0.0121053i | ||||
\(552\) | −0.669131 | + | 1.15897i | −0.0284801 | + | 0.0493290i | ||||
\(553\) | −12.6934 | − | 21.9856i | −0.539779 | − | 0.934925i | ||||
\(554\) | 1.25868 | + | 0.914481i | 0.0534760 | + | 0.0388526i | ||||
\(555\) | 0.283551 | + | 0.0602707i | 0.0120361 | + | 0.00255835i | ||||
\(556\) | 1.32794 | − | 4.08699i | 0.0563174 | − | 0.173327i | ||||
\(557\) | −8.79350 | −0.372593 | −0.186296 | − | 0.982494i | \(-0.559648\pi\) | ||||
−0.186296 | + | 0.982494i | \(0.559648\pi\) | |||||||
\(558\) | 5.18720 | − | 2.02309i | 0.219592 | − | 0.0856444i | ||||
\(559\) | −2.45451 | −0.103815 | ||||||||
\(560\) | −1.20906 | + | 3.72109i | −0.0510920 | + | 0.157245i | ||||
\(561\) | 41.1217 | + | 8.74069i | 1.73616 | + | 0.369032i | ||||
\(562\) | −16.5277 | − | 12.0081i | −0.697181 | − | 0.506531i | ||||
\(563\) | −1.07072 | − | 1.85453i | −0.0451253 | − | 0.0781593i | 0.842581 | − | 0.538570i | \(-0.181035\pi\) |
−0.887706 | + | 0.460411i | \(0.847702\pi\) | |||||||
\(564\) | −1.08724 | + | 1.88316i | −0.0457813 | + | 0.0792955i | ||||
\(565\) | 10.8232 | − | 4.81882i | 0.455338 | − | 0.202729i | ||||
\(566\) | 7.86501 | − | 5.71426i | 0.330591 | − | 0.240188i | ||||
\(567\) | 3.57433 | + | 1.59139i | 0.150108 | + | 0.0668323i | ||||
\(568\) | −8.44321 | + | 1.79466i | −0.354269 | + | 0.0753023i | ||||
\(569\) | 0.615920 | − | 5.86009i | 0.0258207 | − | 0.245668i | −0.973997 | − | 0.226562i | \(-0.927251\pi\) |
0.999817 | − | 0.0191057i | \(-0.00608189\pi\) | |||||||
\(570\) | 3.78339 | + | 4.20188i | 0.158469 | + | 0.175997i | ||||
\(571\) | 7.26052 | − | 8.06363i | 0.303843 | − | 0.337452i | −0.571816 | − | 0.820382i | \(-0.693761\pi\) |
0.875659 | + | 0.482930i | \(0.160427\pi\) | |||||||
\(572\) | −0.245837 | − | 2.33898i | −0.0102790 | − | 0.0977977i | ||||
\(573\) | 3.30272 | + | 10.1647i | 0.137973 | + | 0.424637i | ||||
\(574\) | 11.2027 | + | 34.4783i | 0.467591 | + | 1.43910i | ||||
\(575\) | 0.139886 | + | 1.33093i | 0.00583367 | + | 0.0555036i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | −2.00756 | − | 2.22962i | −0.0835757 | − | 0.0928202i | 0.699906 | − | 0.714235i | \(-0.253225\pi\) |
−0.783482 | + | 0.621414i | \(0.786558\pi\) | |||||||
\(578\) | −2.54263 | + | 24.1915i | −0.105759 | + | 1.00623i | ||||
\(579\) | −21.9842 | + | 4.67288i | −0.913630 | + | 0.194198i | ||||
\(580\) | 0.112875 | + | 0.0502553i | 0.00468689 | + | 0.00208674i | ||||
\(581\) | −13.9849 | + | 10.1606i | −0.580191 | + | 0.421533i | ||||
\(582\) | 12.5231 | − | 5.57563i | 0.519098 | − | 0.231117i | ||||
\(583\) | 13.2562 | − | 22.9604i | 0.549014 | − | 0.950921i | ||||
\(584\) | 7.73968 | + | 13.4055i | 0.320270 | + | 0.554724i | ||||
\(585\) | 0.290943 | + | 0.211383i | 0.0120290 | + | 0.00873959i | ||||
\(586\) | 1.02701 | + | 0.218298i | 0.0424254 | + | 0.00901780i | ||||
\(587\) | −3.64951 | + | 11.2320i | −0.150631 | + | 0.463596i | −0.997692 | − | 0.0679003i | \(-0.978370\pi\) |
0.847061 | + | 0.531496i | \(0.178370\pi\) | |||||||
\(588\) | −8.30836 | −0.342631 | ||||||||
\(589\) | 8.31052 | + | 30.3644i | 0.342429 | + | 1.25114i | ||||
\(590\) | 4.97108 | 0.204656 | ||||||||
\(591\) | 6.09115 | − | 18.7466i | 0.250556 | − | 0.771133i | ||||
\(592\) | 0.283551 | + | 0.0602707i | 0.0116539 | + | 0.00247711i | ||||
\(593\) | −34.8529 | − | 25.3221i | −1.43124 | − | 1.03986i | −0.989785 | − | 0.142571i | \(-0.954463\pi\) |
−0.441453 | − | 0.897284i | \(-0.645537\pi\) | |||||||
\(594\) | 3.26988 | + | 5.66360i | 0.134165 | + | 0.232380i | ||||
\(595\) | 12.5759 | − | 21.7821i | 0.515562 | − | 0.892980i | ||||
\(596\) | 15.9946 | − | 7.12126i | 0.655165 | − | 0.291698i | ||||
\(597\) | 0.783063 | − | 0.568929i | 0.0320486 | − | 0.0232847i | ||||
\(598\) | −0.439665 | − | 0.195751i | −0.0179792 | − | 0.00800486i | ||||
\(599\) | 14.6485 | − | 3.11364i | 0.598523 | − | 0.127220i | 0.101319 | − | 0.994854i | \(-0.467694\pi\) |
0.497203 | + | 0.867634i | \(0.334360\pi\) | |||||||
\(600\) | 0.104528 | − | 0.994522i | 0.00426736 | − | 0.0406012i | ||||
\(601\) | −8.44923 | − | 9.38382i | −0.344651 | − | 0.382774i | 0.545752 | − | 0.837947i | \(-0.316244\pi\) |
−0.890403 | + | 0.455173i | \(0.849577\pi\) | |||||||
\(602\) | −17.8686 | + | 19.8450i | −0.728268 | + | 0.808823i | ||||
\(603\) | −1.25319 | − | 11.9233i | −0.0510337 | − | 0.485553i | ||||
\(604\) | 3.48818 | + | 10.7355i | 0.141932 | + | 0.436821i | ||||
\(605\) | −9.81700 | − | 30.2136i | −0.399118 | − | 1.22836i | ||||
\(606\) | 0.902073 | + | 8.58266i | 0.0366442 | + | 0.348647i | ||||
\(607\) | −30.4720 | + | 33.8426i | −1.23682 | + | 1.37363i | −0.334596 | + | 0.942362i | \(0.608600\pi\) |
−0.902224 | + | 0.431267i | \(0.858067\pi\) | |||||||
\(608\) | 3.78339 | + | 4.20188i | 0.153437 | + | 0.170409i | ||||
\(609\) | −0.0505322 | + | 0.480781i | −0.00204767 | + | 0.0194822i | ||||
\(610\) | 10.8374 | − | 2.30356i | 0.438794 | − | 0.0932685i | ||||
\(611\) | −0.714394 | − | 0.318069i | −0.0289013 | − | 0.0128677i | ||||
\(612\) | −5.20071 | + | 3.77854i | −0.210226 | + | 0.152738i | ||||
\(613\) | −0.442000 | + | 0.196791i | −0.0178522 | + | 0.00794831i | −0.415643 | − | 0.909528i | \(-0.636444\pi\) |
0.397791 | + | 0.917476i | \(0.369777\pi\) | |||||||
\(614\) | −10.7892 | + | 18.6875i | −0.435418 | + | 0.754166i | ||||
\(615\) | −4.63282 | − | 8.02428i | −0.186813 | − | 0.323570i | ||||
\(616\) | −20.7006 | − | 15.0399i | −0.834053 | − | 0.605975i | ||||
\(617\) | 27.9990 | + | 5.95137i | 1.12720 | + | 0.239593i | 0.733528 | − | 0.679659i | \(-0.237872\pi\) |
0.393669 | + | 0.919252i | \(0.371205\pi\) | |||||||
\(618\) | −5.37441 | + | 16.5407i | −0.216190 | + | 0.665366i | ||||
\(619\) | −22.8790 | −0.919583 | −0.459791 | − | 0.888027i | \(-0.652076\pi\) | ||||
−0.459791 | + | 0.888027i | \(0.652076\pi\) | |||||||
\(620\) | 3.00739 | − | 4.68568i | 0.120780 | − | 0.188181i | ||||
\(621\) | 1.33826 | 0.0537026 | ||||||||
\(622\) | 2.05967 | − | 6.33901i | 0.0825852 | − | 0.254171i | ||||
\(623\) | −24.0214 | − | 5.10591i | −0.962398 | − | 0.204564i | ||||
\(624\) | 0.290943 | + | 0.211383i | 0.0116470 | + | 0.00846207i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 11.3150 | − | 19.5981i | 0.452238 | − | 0.783299i | ||||
\(627\) | −33.7802 | + | 15.0399i | −1.34905 | + | 0.600636i | ||||
\(628\) | 5.71628 | − | 4.15312i | 0.228105 | − | 0.165728i | ||||
\(629\) | −1.70240 | − | 0.757959i | −0.0678792 | − | 0.0302218i | ||||
\(630\) | 3.82709 | − | 0.813473i | 0.152475 | − | 0.0324096i | ||||
\(631\) | 2.43562 | − | 23.1734i | 0.0969606 | − | 0.922519i | −0.832606 | − | 0.553865i | \(-0.813152\pi\) |
0.929567 | − | 0.368653i | \(-0.120181\pi\) | |||||||
\(632\) | 4.34165 | + | 4.82189i | 0.172702 | + | 0.191805i | ||||
\(633\) | 14.7469 | − | 16.3781i | 0.586137 | − | 0.650971i | ||||
\(634\) | −2.10535 | − | 20.0311i | −0.0836142 | − | 0.795536i | ||||
\(635\) | −1.95065 | − | 6.00348i | −0.0774091 | − | 0.238241i | ||||
\(636\) | 1.25276 | + | 3.85560i | 0.0496752 | + | 0.152885i | ||||
\(637\) | −0.312320 | − | 2.97153i | −0.0123746 | − | 0.117736i | ||||
\(638\) | −0.540682 | + | 0.600488i | −0.0214058 | + | 0.0237735i | ||||
\(639\) | 5.77583 | + | 6.41471i | 0.228488 | + | 0.253762i | ||||
\(640\) | 0.104528 | − | 0.994522i | 0.00413185 | − | 0.0393119i | ||||
\(641\) | 27.1660 | − | 5.77430i | 1.07299 | − | 0.228071i | 0.362647 | − | 0.931926i | \(-0.381873\pi\) |
0.710343 | + | 0.703855i | \(0.248540\pi\) | |||||||
\(642\) | 5.41523 | + | 2.41101i | 0.213722 | + | 0.0951552i | ||||
\(643\) | −11.1260 | + | 8.08351i | −0.438766 | + | 0.318782i | −0.785145 | − | 0.619313i | \(-0.787411\pi\) |
0.346378 | + | 0.938095i | \(0.387411\pi\) | |||||||
\(644\) | −4.78339 | + | 2.12970i | −0.188492 | + | 0.0839220i | ||||
\(645\) | 3.41259 | − | 5.91078i | 0.134371 | − | 0.232737i | ||||
\(646\) | −18.1738 | − | 31.4779i | −0.715037 | − | 1.23848i | ||||
\(647\) | −19.4489 | − | 14.1305i | −0.764617 | − | 0.555527i | 0.135706 | − | 0.990749i | \(-0.456670\pi\) |
−0.900323 | + | 0.435222i | \(0.856670\pi\) | |||||||
\(648\) | −0.978148 | − | 0.207912i | −0.0384253 | − | 0.00816754i | ||||
\(649\) | −10.0460 | + | 30.9185i | −0.394342 | + | 1.21366i | ||||
\(650\) | 0.359625 | 0.0141057 | ||||||||
\(651\) | 21.0720 | + | 5.52554i | 0.825875 | + | 0.216563i | ||||
\(652\) | 4.11507 | 0.161158 | ||||||||
\(653\) | −5.55548 | + | 17.0980i | −0.217403 | + | 0.669097i | 0.781572 | + | 0.623816i | \(0.214418\pi\) |
−0.998974 | + | 0.0452811i | \(0.985582\pi\) | |||||||
\(654\) | 4.63591 | + | 0.985393i | 0.181278 | + | 0.0385319i | ||||
\(655\) | 1.10151 | + | 0.800291i | 0.0430394 | + | 0.0312699i | ||||
\(656\) | −4.63282 | − | 8.02428i | −0.180881 | − | 0.313295i | ||||
\(657\) | 7.73968 | − | 13.4055i | 0.301954 | − | 0.522999i | ||||
\(658\) | −7.77234 | + | 3.46047i | −0.302997 | + | 0.134903i | ||||
\(659\) | −11.8810 | + | 8.63209i | −0.462820 | + | 0.336258i | −0.794636 | − | 0.607086i | \(-0.792339\pi\) |
0.331816 | + | 0.943344i | \(0.392339\pi\) | |||||||
\(660\) | 5.97437 | + | 2.65996i | 0.232552 | + | 0.103539i | ||||
\(661\) | −32.0485 | + | 6.81212i | −1.24654 | + | 0.264961i | −0.783509 | − | 0.621380i | \(-0.786572\pi\) |
−0.463033 | + | 0.886341i | \(0.653239\pi\) | |||||||
\(662\) | 1.08201 | − | 10.2946i | 0.0420535 | − | 0.400112i | ||||
\(663\) | −1.54691 | − | 1.71802i | −0.0600772 | − | 0.0667225i | ||||
\(664\) | 2.95630 | − | 3.28330i | 0.114727 | − | 0.127417i | ||||
\(665\) | 2.31243 | + | 22.0013i | 0.0896722 | + | 0.853174i | ||||
\(666\) | −0.0895797 | − | 0.275698i | −0.00347114 | − | 0.0106831i | ||||
\(667\) | 0.0510966 | + | 0.157259i | 0.00197847 | + | 0.00608910i | ||||
\(668\) | 0.190495 | + | 1.81244i | 0.00737047 | + | 0.0701253i | ||||
\(669\) | 17.1335 | − | 19.0287i | 0.662421 | − | 0.735693i | ||||
\(670\) | −8.02218 | − | 8.90953i | −0.309924 | − | 0.344205i | ||||
\(671\) | −7.57386 | + | 72.0605i | −0.292386 | + | 2.78186i | ||||
\(672\) | 3.82709 | − | 0.813473i | 0.147633 | − | 0.0313804i | ||||
\(673\) | 17.8755 | + | 7.95869i | 0.689050 | + | 0.306785i | 0.721229 | − | 0.692697i | \(-0.243578\pi\) |
−0.0321783 | + | 0.999482i | \(0.510244\pi\) | |||||||
\(674\) | 9.68375 | − | 7.03566i | 0.373004 | − | 0.271003i | ||||
\(675\) | −0.913545 | + | 0.406737i | −0.0351624 | + | 0.0156553i | ||||
\(676\) | 6.43533 | − | 11.1463i | 0.247513 | − | 0.428705i | ||||
\(677\) | −20.9236 | − | 36.2407i | −0.804157 | − | 1.39284i | −0.916858 | − | 0.399213i | \(-0.869284\pi\) |
0.112701 | − | 0.993629i | \(-0.464050\pi\) | |||||||
\(678\) | −9.58485 | − | 6.96380i | −0.368104 | − | 0.267443i | ||||
\(679\) | 52.4625 | + | 11.1513i | 2.01333 | + | 0.427946i | ||||
\(680\) | −1.98649 | + | 6.11380i | −0.0761786 | + | 0.234454i | ||||
\(681\) | 6.66141 | 0.255266 | ||||||||
\(682\) | 23.0658 | + | 28.1743i | 0.883236 | + | 1.07885i | ||||
\(683\) | 47.2560 | 1.80820 | 0.904101 | − | 0.427319i | \(-0.140542\pi\) | ||||
0.904101 | + | 0.427319i | \(0.140542\pi\) | |||||||
\(684\) | 1.74724 | − | 5.37745i | 0.0668073 | − | 0.205612i | ||||
\(685\) | −4.56726 | − | 0.970801i | −0.174506 | − | 0.0370924i | ||||
\(686\) | −4.14143 | − | 3.00893i | −0.158121 | − | 0.114881i | ||||
\(687\) | −7.95906 | − | 13.7855i | −0.303657 | − | 0.525949i | ||||
\(688\) | 3.41259 | − | 5.91078i | 0.130104 | − | 0.225346i | ||||
\(689\) | −1.33188 | + | 0.592993i | −0.0507408 | + | 0.0225912i | ||||
\(690\) | 1.08268 | − | 0.786610i | 0.0412168 | − | 0.0299457i | ||||
\(691\) | 31.8600 | + | 14.1850i | 1.21201 | + | 0.539623i | 0.910369 | − | 0.413798i | \(-0.135798\pi\) |
0.301644 | + | 0.953421i | \(0.402465\pi\) | |||||||
\(692\) | 17.1792 | − | 3.65154i | 0.653054 | − | 0.138811i | ||||
\(693\) | −2.67461 | + | 25.4472i | −0.101600 | + | 0.966661i | ||||
\(694\) | 5.08708 | + | 5.64977i | 0.193103 | + | 0.214462i | ||||
\(695\) | −2.87547 | + | 3.19353i | −0.109073 | + | 0.121137i | ||||
\(696\) | −0.0129153 | − | 0.122881i | −0.000489552 | − | 0.00465778i | ||||
\(697\) | 18.4061 | + | 56.6483i | 0.697182 | + | 2.14571i | ||||
\(698\) | −1.70991 | − | 5.26256i | −0.0647210 | − | 0.199191i | ||||
\(699\) | 1.42991 | + | 13.6047i | 0.0540841 | + | 0.514576i | ||||
\(700\) | 2.61803 | − | 2.90762i | 0.0989524 | − | 0.109898i | ||||
\(701\) | −15.9898 | − | 17.7585i | −0.603926 | − | 0.670728i | 0.361207 | − | 0.932485i | \(-0.382365\pi\) |
−0.965134 | + | 0.261757i | \(0.915698\pi\) | |||||||
\(702\) | 0.0375911 | − | 0.357655i | 0.00141878 | − | 0.0134988i | ||||
\(703\) | 1.60325 | − | 0.340781i | 0.0604677 | − | 0.0128528i | ||||
\(704\) | 5.97437 | + | 2.65996i | 0.225168 | + | 0.100251i | ||||
\(705\) | 1.75920 | − | 1.27813i | 0.0662552 | − | 0.0481373i | ||||
\(706\) | −9.66121 | + | 4.30145i | −0.363604 | + | 0.161887i | ||||
\(707\) | −16.8827 | + | 29.2417i | −0.634939 | + | 1.09975i | ||||
\(708\) | −2.48554 | − | 4.30508i | −0.0934123 | − | 0.161795i | ||||
\(709\) | 25.8657 | + | 18.7925i | 0.971406 | + | 0.705767i | 0.955771 | − | 0.294110i | \(-0.0950233\pi\) |
0.0156341 | + | 0.999878i | \(0.495023\pi\) | |||||||
\(710\) | 8.44321 | + | 1.79466i | 0.316868 | + | 0.0673524i | ||||
\(711\) | 2.00506 | − | 6.17093i | 0.0751955 | − | 0.231428i | ||||
\(712\) | 6.27668 | 0.235229 | ||||||||
\(713\) | 7.35304 | − | 1.20498i | 0.275374 | − | 0.0451267i | ||||
\(714\) | −25.1518 | −0.941283 | ||||||||
\(715\) | −0.726766 | + | 2.23676i | −0.0271795 | + | 0.0836499i | ||||
\(716\) | 21.8817 | + | 4.65111i | 0.817759 | + | 0.173820i | ||||
\(717\) | −18.5695 | − | 13.4916i | −0.693492 | − | 0.503851i | ||||
\(718\) | 0.253738 | + | 0.439487i | 0.00946942 | + | 0.0164015i | ||||
\(719\) | −17.7032 | + | 30.6628i | −0.660218 | + | 1.14353i | 0.320340 | + | 0.947303i | \(0.396203\pi\) |
−0.980558 | + | 0.196229i | \(0.937131\pi\) | |||||||
\(720\) | −0.913545 | + | 0.406737i | −0.0340458 | + | 0.0151582i | ||||
\(721\) | −55.0517 | + | 39.9974i | −2.05023 | + | 1.48958i | ||||
\(722\) | 11.8485 | + | 5.27528i | 0.440955 | + | 0.196326i | ||||
\(723\) | −19.6324 | + | 4.17299i | −0.730136 | + | 0.155195i | ||||
\(724\) | 0.686636 | − | 6.53290i | 0.0255186 | − | 0.242793i | ||||
\(725\) | −0.0826761 | − | 0.0918211i | −0.00307051 | − | 0.00341015i | ||||
\(726\) | −21.2573 | + | 23.6086i | −0.788931 | + | 0.876197i | ||||
\(727\) | 0.0524849 | + | 0.499361i | 0.00194656 | + | 0.0185203i | 0.995452 | − | 0.0952638i | \(-0.0303695\pi\) |
−0.993506 | + | 0.113784i | \(0.963703\pi\) | |||||||
\(728\) | 0.434808 | + | 1.33820i | 0.0161150 | + | 0.0495970i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −1.61803 | − | 15.3946i | −0.0598861 | − | 0.569778i | ||||
\(731\) | −29.3582 | + | 32.6056i | −1.08585 | + | 1.20596i | ||||
\(732\) | −7.41365 | − | 8.23369i | −0.274016 | − | 0.304326i | ||||
\(733\) | −4.46738 | + | 42.5042i | −0.165006 | + | 1.56993i | 0.528155 | + | 0.849148i | \(0.322884\pi\) |
−0.693161 | + | 0.720782i | \(0.743783\pi\) | |||||||
\(734\) | 19.4775 | − | 4.14006i | 0.718926 | − | 0.152812i | ||||
\(735\) | 7.59007 | + | 3.37932i | 0.279964 | + | 0.124648i | ||||
\(736\) | 1.08268 | − | 0.786610i | 0.0399080 | − | 0.0289948i | ||||
\(737\) | 71.6264 | − | 31.8901i | 2.63839 | − | 1.17469i | ||||
\(738\) | −4.63282 | + | 8.02428i | −0.170536 | + | 0.295378i | ||||
\(739\) | −4.13367 | − | 7.15973i | −0.152060 | − | 0.263375i | 0.779925 | − | 0.625873i | \(-0.215257\pi\) |
−0.931984 | + | 0.362498i | \(0.881924\pi\) | |||||||
\(740\) | −0.234523 | − | 0.170391i | −0.00862122 | − | 0.00626369i | ||||
\(741\) | 1.98895 | + | 0.422765i | 0.0730660 | + | 0.0155307i | ||||
\(742\) | −4.90154 | + | 15.0854i | −0.179941 | + | 0.553802i | ||||
\(743\) | 5.90833 | 0.216756 | 0.108378 | − | 0.994110i | \(-0.465434\pi\) | ||||
0.108378 | + | 0.994110i | \(0.465434\pi\) | |||||||
\(744\) | −5.56161 | − | 0.261638i | −0.203899 | − | 0.00959211i | ||||
\(745\) | −17.5083 | −0.641454 | ||||||||
\(746\) | −7.09421 | + | 21.8337i | −0.259737 | + | 0.799390i | ||||
\(747\) | −4.32157 | − | 0.918578i | −0.158118 | − | 0.0336090i | ||||
\(748\) | −34.0114 | − | 24.7107i | −1.24358 | − | 0.903514i | ||||
\(749\) | 11.5963 | + | 20.0854i | 0.423721 | + | 0.733906i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | 4.19269 | − | 1.86671i | 0.152993 | − | 0.0681170i | −0.328811 | − | 0.944396i | \(-0.606648\pi\) |
0.481805 | + | 0.876279i | \(0.339981\pi\) | |||||||
\(752\) | 1.75920 | − | 1.27813i | 0.0641514 | − | 0.0466087i | ||||
\(753\) | 25.1591 | + | 11.2015i | 0.916848 | + | 0.408207i | ||||
\(754\) | 0.0434634 | − | 0.00923843i | 0.00158284 | − | 0.000336444i | ||||
\(755\) | 1.17991 | − | 11.2261i | 0.0429415 | − | 0.408561i | ||||
\(756\) | −2.61803 | − | 2.90762i | −0.0952170 | − | 0.105749i | ||||
\(757\) | −17.1472 | + | 19.0439i | −0.623225 | + | 0.692162i | −0.969254 | − | 0.246062i | \(-0.920863\pi\) |
0.346029 | + | 0.938224i | \(0.387530\pi\) | |||||||
\(758\) | 0.0905693 | + | 0.861709i | 0.00328962 | + | 0.0312987i | ||||
\(759\) | 2.70449 | + | 8.32356i | 0.0981667 | + | 0.302126i | ||||
\(760\) | −1.74724 | − | 5.37745i | −0.0633790 | − | 0.195060i | ||||
\(761\) | 1.95630 | + | 18.6129i | 0.0709156 | + | 0.674717i | 0.971013 | + | 0.239028i | \(0.0768287\pi\) |
−0.900097 | + | 0.435689i | \(0.856505\pi\) | |||||||
\(762\) | −4.22384 | + | 4.69105i | −0.153014 | + | 0.169939i | ||||
\(763\) | 12.4081 | + | 13.7806i | 0.449204 | + | 0.498891i | ||||
\(764\) | 1.11718 | − | 10.6293i | 0.0404182 | − | 0.384553i | ||||
\(765\) | 6.28795 | − | 1.33655i | 0.227341 | − | 0.0483229i | ||||
\(766\) | −22.6894 | − | 10.1020i | −0.819803 | − | 0.365000i | ||||
\(767\) | 1.44630 | − | 1.05080i | 0.0522229 | − | 0.0379422i | ||||
\(768\) | −0.913545 | + | 0.406737i | −0.0329647 | + | 0.0146768i | ||||
\(769\) | 5.66036 | − | 9.80403i | 0.204118 | − | 0.353542i | −0.745734 | − | 0.666244i | \(-0.767901\pi\) |
0.949851 | + | 0.312702i | \(0.101234\pi\) | |||||||
\(770\) | 12.7937 | + | 22.1593i | 0.461053 | + | 0.798567i | ||||
\(771\) | −3.73814 | − | 2.71591i | −0.134626 | − | 0.0978113i | ||||
\(772\) | 21.9842 | + | 4.67288i | 0.791227 | + | 0.168181i | ||||
\(773\) | −12.3607 | + | 38.0423i | −0.444583 | + | 1.36829i | 0.438358 | + | 0.898800i | \(0.355560\pi\) |
−0.882941 | + | 0.469485i | \(0.844440\pi\) | |||||||
\(774\) | −6.82518 | −0.245326 | ||||||||
\(775\) | −4.65323 | + | 3.05736i | −0.167149 | + | 0.109824i | ||||
\(776\) | −13.7082 | −0.492096 | ||||||||
\(777\) | 0.350489 | − | 1.07869i | 0.0125737 | − | 0.0386979i | ||||
\(778\) | 17.4666 | + | 3.71265i | 0.626210 | + | 0.133105i | ||||
\(779\) | −42.3841 | − | 30.7938i | −1.51857 | − | 1.10330i | ||||
\(780\) | −0.179813 | − | 0.311445i | −0.00643833 | − | 0.0111515i | ||||
\(781\) | −28.2251 | + | 48.8873i | −1.00997 | + | 1.74932i | ||||
\(782\) | −7.85916 | + | 3.49912i | −0.281043 | + | 0.125128i | ||||
\(783\) | −0.0999601 | + | 0.0726252i | −0.00357228 | + | 0.00259541i | ||||
\(784\) | 7.59007 | + | 3.37932i | 0.271074 | + | 0.120690i | ||||
\(785\) | −6.91131 | + | 1.46904i | −0.246675 | + | 0.0524325i | ||||
\(786\) | 0.142319 | − | 1.35408i | 0.00507636 | − | 0.0482983i | ||||
\(787\) | −18.6712 | − | 20.7365i | −0.665557 | − | 0.739176i | 0.311945 | − | 0.950100i | \(-0.399019\pi\) |
−0.977502 | + | 0.210924i | \(0.932353\pi\) | |||||||
\(788\) | −13.1895 | + | 14.6484i | −0.469856 | + | 0.521828i | ||||
\(789\) | −1.20061 | − | 11.4231i | −0.0427429 | − | 0.406672i | ||||
\(790\) | −2.00506 | − | 6.17093i | −0.0713367 | − | 0.219552i | ||||
\(791\) | −14.3243 | − | 44.0857i | −0.509314 | − | 1.56751i | ||||
\(792\) | −0.683591 | − | 6.50394i | −0.0242904 | − | 0.231107i | ||||
\(793\) | 2.66614 | − | 2.96104i | 0.0946773 | − | 0.105150i | ||||
\(794\) | 25.9631 | + | 28.8349i | 0.921395 | + | 1.02331i | ||||
\(795\) | 0.423761 | − | 4.03181i | 0.0150292 | − | 0.142994i | ||||
\(796\) | −0.946768 | + | 0.201242i | −0.0335573 | + | 0.00713282i | ||||
\(797\) | −44.4255 | − | 19.7795i | −1.57363 | − | 0.700625i | −0.580138 | − | 0.814519i | \(-0.697001\pi\) |
−0.993493 | + | 0.113893i | \(0.963668\pi\) | |||||||
\(798\) | 17.8975 | − | 13.0033i | 0.633564 | − | 0.460311i | ||||
\(799\) | −12.7700 | + | 5.68559i | −0.451772 | + | 0.201142i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | −3.13834 | − | 5.43577i | −0.110888 | − | 0.192063i | ||||
\(802\) | −15.6356 | − | 11.3599i | −0.552111 | − | 0.401132i | ||||
\(803\) | 99.0192 | + | 21.0472i | 3.49431 | + | 0.742739i | ||||
\(804\) | −3.70479 | + | 11.4022i | −0.130658 | + | 0.402124i | ||||
\(805\) | 5.23607 | 0.184547 | ||||||||
\(806\) | −0.115491 | − | 1.99898i | −0.00406800 | − | 0.0704109i | ||||
\(807\) | −9.84443 | −0.346540 | ||||||||
\(808\) | 2.66680 | − | 8.20755i | 0.0938175 | − | 0.288741i | ||||
\(809\) | 14.5660 | + | 3.09611i | 0.512115 | + | 0.108853i | 0.456719 | − | 0.889611i | \(-0.349025\pi\) |
0.0553960 | + | 0.998464i | \(0.482358\pi\) | |||||||
\(810\) | 0.809017 | + | 0.587785i | 0.0284260 | + | 0.0206527i | ||||
\(811\) | 6.65503 | + | 11.5269i | 0.233690 | + | 0.404763i | 0.958891 | − | 0.283774i | \(-0.0915867\pi\) |
−0.725201 | + | 0.688537i | \(0.758253\pi\) | |||||||
\(812\) | 0.241715 | − | 0.418662i | 0.00848253 | − | 0.0146922i | ||||
\(813\) | 7.93048 | − | 3.53088i | 0.278134 | − | 0.123833i | ||||
\(814\) | 1.53372 | − | 1.11431i | 0.0537569 | − | 0.0390567i | ||||
\(815\) | −3.75930 | − | 1.67375i | −0.131683 | − | 0.0586289i | ||||
\(816\) | 6.28795 | − | 1.33655i | 0.220122 | − | 0.0467885i | ||||
\(817\) | 4.03384 | − | 38.3794i | 0.141126 | − | 1.34273i | ||||
\(818\) | −18.8735 | − | 20.9612i | −0.659897 | − | 0.732890i | ||||
\(819\) | 0.941512 | − | 1.04565i | 0.0328991 | − | 0.0365381i | ||||
\(820\) | 0.968523 | + | 9.21488i | 0.0338223 | + | 0.321797i | ||||
\(821\) | −3.30083 | − | 10.1589i | −0.115200 | − | 0.354548i | 0.876789 | − | 0.480876i | \(-0.159681\pi\) |
−0.991989 | + | 0.126327i | \(0.959681\pi\) | |||||||
\(822\) | 1.44289 | + | 4.44076i | 0.0503266 | + | 0.154889i | ||||
\(823\) | 2.33070 | + | 22.1752i | 0.0812432 | + | 0.772978i | 0.956973 | + | 0.290176i | \(0.0937140\pi\) |
−0.875730 | + | 0.482801i | \(0.839619\pi\) | |||||||
\(824\) | 11.6375 | − | 12.9247i | 0.405411 | − | 0.450255i | ||||
\(825\) | −4.37595 | − | 4.85999i | −0.152351 | − | 0.169203i | ||||
\(826\) | 2.03306 | − | 19.3432i | 0.0707391 | − | 0.673038i | ||||
\(827\) | 1.55272 | − | 0.330040i | 0.0539933 | − | 0.0114766i | −0.180836 | − | 0.983513i | \(-0.557880\pi\) |
0.234829 | + | 0.972037i | \(0.424547\pi\) | |||||||
\(828\) | −1.22256 | − | 0.544320i | −0.0424870 | − | 0.0189164i | ||||
\(829\) | −21.0181 | + | 15.2706i | −0.729990 | + | 0.530369i | −0.889560 | − | 0.456818i | \(-0.848989\pi\) |
0.159570 | + | 0.987187i | \(0.448989\pi\) | |||||||
\(830\) | −4.03615 | + | 1.79701i | −0.140097 | + | 0.0623751i | ||||
\(831\) | −0.777904 | + | 1.34737i | −0.0269852 | + | 0.0467397i | ||||
\(832\) | −0.179813 | − | 0.311445i | −0.00623388 | − | 0.0107974i | ||||
\(833\) | −43.2094 | − | 31.3935i | −1.49712 | − | 1.08772i | ||||
\(834\) | 4.20341 | + | 0.893462i | 0.145552 | + | 0.0309381i | ||||
\(835\) | 0.563159 | − | 1.73322i | 0.0194889 | − | 0.0599807i | ||||
\(836\) | 36.9770 | 1.27888 | ||||||||
\(837\) | 2.55422 | + | 4.94732i | 0.0882868 | + | 0.171004i | ||||
\(838\) | −34.6736 | −1.19778 | ||||||||
\(839\) | −3.49390 | + | 10.7531i | −0.120623 | + | 0.371239i | −0.993078 | − | 0.117455i | \(-0.962526\pi\) |
0.872455 | + | 0.488694i | \(0.162526\pi\) | |||||||
\(840\) | −3.82709 | − | 0.813473i | −0.132047 | − | 0.0280675i | ||||
\(841\) | 23.4491 | + | 17.0368i | 0.808591 | + | 0.587476i | ||||
\(842\) | −19.0619 | − | 33.0161i | −0.656915 | − | 1.13781i | ||||
\(843\) | 10.2147 | − | 17.6924i | 0.351813 | − | 0.609358i | ||||
\(844\) | −20.1335 | + | 8.96403i | −0.693025 | + | 0.308555i | ||||
\(845\) | −10.4126 | + | 7.56519i | −0.358204 | + | 0.260250i | ||||
\(846\) | −1.98649 | − | 0.884444i | −0.0682971 | − | 0.0304078i | ||||
\(847\) | −121.581 | + | 25.8428i | −4.17757 | + | 0.887969i | ||||
\(848\) | 0.423761 | − | 4.03181i | 0.0145520 | − | 0.138453i | ||||
\(849\) | 6.50507 | + | 7.22462i | 0.223254 | + | 0.247948i | ||||
\(850\) | 4.30146 | − | 4.77726i | 0.147539 | − | 0.163859i | ||||
\(851\) | −0.0405511 | − | 0.385818i | −0.00139007 | − | 0.0132257i | ||||
\(852\) | −2.66739 | − | 8.20937i | −0.0913831 | − | 0.281248i | ||||
\(853\) | −6.85942 | − | 21.1111i | −0.234862 | − | 0.722831i | −0.997140 | − | 0.0755810i | \(-0.975919\pi\) |
0.762278 | − | 0.647250i | \(-0.224081\pi\) | |||||||
\(854\) | −4.53127 | − | 43.1122i | −0.155057 | − | 1.47527i | ||||
\(855\) | −3.78339 | + | 4.20188i | −0.129389 | + | 0.143701i | ||||
\(856\) | −3.96641 | − | 4.40514i | −0.135569 | − | 0.150565i | ||||
\(857\) | −2.11263 | + | 20.1003i | −0.0721660 | + | 0.686614i | 0.897306 | + | 0.441410i | \(0.145522\pi\) |
−0.969472 | + | 0.245204i | \(0.921145\pi\) | |||||||
\(858\) | 2.30047 | − | 0.488980i | 0.0785368 | − | 0.0166935i | ||||
\(859\) | 10.4549 | + | 4.65481i | 0.356715 | + | 0.158820i | 0.577267 | − | 0.816555i | \(-0.304119\pi\) |
−0.220552 | + | 0.975375i | \(0.570786\pi\) | |||||||
\(860\) | −5.52169 | + | 4.01174i | −0.188288 | + | 0.136799i | ||||
\(861\) | −33.1184 | + | 14.7453i | −1.12867 | + | 0.502518i | ||||
\(862\) | 18.0417 | − | 31.2491i | 0.614502 | − | 1.06435i | ||||
\(863\) | 5.75021 | + | 9.95965i | 0.195739 | + | 0.339030i | 0.947143 | − | 0.320813i | \(-0.103956\pi\) |
−0.751403 | + | 0.659843i | \(0.770623\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | −17.1792 | − | 3.65154i | −0.584109 | − | 0.124156i | ||||
\(866\) | 4.04684 | − | 12.4549i | 0.137517 | − | 0.423234i | ||||
\(867\) | −24.3247 | −0.826111 | ||||||||
\(868\) | −17.0028 | − | 13.6186i | −0.577111 | − | 0.462244i | ||||
\(869\) | 42.4332 | 1.43945 | ||||||||
\(870\) | −0.0381813 | + | 0.117510i | −0.00129447 | + | 0.00398397i | ||||
\(871\) | −4.21731 | − | 0.896418i | −0.142898 | − | 0.0303740i | ||||
\(872\) | −3.83432 | − | 2.78579i | −0.129846 | − | 0.0943389i | ||||
\(873\) | 6.85410 | + | 11.8717i | 0.231976 | + | 0.401795i | ||||
\(874\) | 3.78339 | − | 6.55302i | 0.127975 | − | 0.221659i | ||||
\(875\) | −3.57433 | + | 1.59139i | −0.120834 | + | 0.0537989i | ||||
\(876\) | −12.5231 | + | 9.09854i | −0.423115 | + | 0.307411i | ||||
\(877\) | −46.7038 | − | 20.7939i | −1.57708 | − | 0.702160i | −0.583166 | − | 0.812353i | \(-0.698186\pi\) |
−0.993910 | + | 0.110193i | \(0.964853\pi\) | |||||||
\(878\) | −0.0778405 | + | 0.0165455i | −0.00262699 | + | 0.000558384i | ||||
\(879\) | −0.109750 | + | 1.04420i | −0.00370178 | + | 0.0352201i | ||||
\(880\) | −4.37595 | − | 4.85999i | −0.147513 | − | 0.163830i | ||||
\(881\) | 15.3111 | − | 17.0047i | 0.515845 | − | 0.572904i | −0.427796 | − | 0.903875i | \(-0.640710\pi\) |
0.943641 | + | 0.330972i | \(0.107376\pi\) | |||||||
\(882\) | −0.868460 | − | 8.26285i | −0.0292426 | − | 0.278225i | ||||
\(883\) | −6.28848 | − | 19.3540i | −0.211624 | − | 0.651312i | −0.999376 | − | 0.0353197i | \(-0.988755\pi\) |
0.787752 | − | 0.615993i | \(-0.211245\pi\) | |||||||
\(884\) | 0.714394 | + | 2.19868i | 0.0240277 | + | 0.0739496i | ||||
\(885\) | 0.519619 | + | 4.94385i | 0.0174668 | + | 0.166186i | ||||
\(886\) | 2.56835 | − | 2.85244i | 0.0862855 | − | 0.0958297i | ||||
\(887\) | 7.21397 | + | 8.01192i | 0.242221 | + | 0.269014i | 0.851981 | − | 0.523572i | \(-0.175401\pi\) |
−0.609760 | + | 0.792586i | \(0.708734\pi\) | |||||||
\(888\) | −0.0303013 | + | 0.288298i | −0.00101685 | + | 0.00967465i | ||||
\(889\) | −24.1582 | + | 5.13499i | −0.810242 | + | 0.172222i | ||||
\(890\) | −5.73403 | − | 2.55296i | −0.192205 | − | 0.0855753i | ||||
\(891\) | −5.29078 | + | 3.84398i | −0.177248 | + | 0.128778i | ||||
\(892\) | −23.3920 | + | 10.4148i | −0.783221 | + | 0.348712i | ||||
\(893\) | 6.14748 | − | 10.6477i | 0.205718 | − | 0.356313i | ||||
\(894\) | 8.75414 | + | 15.1626i | 0.292782 | + | 0.507114i | ||||
\(895\) | −18.0982 | − | 13.1491i | −0.604956 | − | 0.439526i | ||||
\(896\) | −3.82709 | − | 0.813473i | −0.127854 | − | 0.0271762i | ||||
\(897\) | 0.148721 | − | 0.457718i | 0.00496566 | − | 0.0152827i | ||||
\(898\) | 35.7433 | 1.19277 | ||||||||
\(899\) | −0.483836 | + | 0.489042i | −0.0161368 | + | 0.0163105i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −8.05329 | + | 24.7855i | −0.268294 | + | 0.825724i | ||||
\(902\) | −59.2709 | − | 12.5984i | −1.97350 | − | 0.419481i | ||||
\(903\) | −21.6041 | − | 15.6963i | −0.718939 | − | 0.522340i | ||||
\(904\) | 5.92376 | + | 10.2603i | 0.197021 | + | 0.341251i | ||||
\(905\) | −3.28444 | + | 5.68882i | −0.109179 | + | 0.189103i | ||||
\(906\) | −10.3121 | + | 4.59123i | −0.342596 | + | 0.152534i | ||||
\(907\) | 35.8956 | − | 26.0797i | 1.19190 | − | 0.865963i | 0.198432 | − | 0.980115i | \(-0.436415\pi\) |
0.993463 | + | 0.114152i | \(0.0364151\pi\) | |||||||
\(908\) | −6.08550 | − | 2.70944i | −0.201954 | − | 0.0899159i | ||||
\(909\) | −8.44135 | + | 1.79426i | −0.279982 | + | 0.0595120i | ||||
\(910\) | 0.147079 | − | 1.39936i | 0.00487561 | − | 0.0463883i | ||||
\(911\) | −9.07283 | − | 10.0764i | −0.300596 | − | 0.333846i | 0.573857 | − | 0.818955i | \(-0.305446\pi\) |
−0.874453 | + | 0.485109i | \(0.838780\pi\) | |||||||
\(912\) | −3.78339 | + | 4.20188i | −0.125280 | + | 0.139138i | ||||
\(913\) | −3.02018 | − | 28.7351i | −0.0999535 | − | 0.950994i | ||||
\(914\) | 3.53720 | + | 10.8864i | 0.117000 | + | 0.360090i | ||||
\(915\) | 3.42376 | + | 10.5373i | 0.113186 | + | 0.348351i | ||||
\(916\) | 1.66390 | + | 15.8309i | 0.0549767 | + | 0.523068i | ||||
\(917\) | 3.56455 | − | 3.95883i | 0.117712 | − | 0.130732i | ||||
\(918\) | −4.30146 | − | 4.77726i | −0.141969 | − | 0.157673i | ||||
\(919\) | 5.34183 | − | 50.8241i | 0.176211 | − | 1.67653i | −0.447043 | − | 0.894512i | \(-0.647523\pi\) |
0.623254 | − | 0.782020i | \(-0.285810\pi\) | |||||||
\(920\) | −1.30902 | + | 0.278240i | −0.0431570 | + | 0.00917331i | ||||
\(921\) | −19.7129 | − | 8.77675i | −0.649562 | − | 0.289204i | ||||
\(922\) | 21.1526 | − | 15.3683i | 0.696624 | − | 0.506127i | ||||
\(923\) | 2.83585 | − | 1.26260i | 0.0933433 | − | 0.0415591i | ||||
\(924\) | 12.7937 | − | 22.1593i | 0.420882 | − | 0.728989i | ||||
\(925\) | 0.144943 | + | 0.251049i | 0.00476570 | + | 0.00825443i | ||||
\(926\) | −4.68375 | − | 3.40294i | −0.153918 | − | 0.111828i | ||||
\(927\) | −17.0119 | − | 3.61599i | −0.558744 | − | 0.118765i | ||||
\(928\) | −0.0381813 | + | 0.117510i | −0.00125336 | + | 0.00385746i | ||||
\(929\) | 50.2709 | 1.64934 | 0.824668 | − | 0.565618i | \(-0.191362\pi\) | ||||
0.824668 | + | 0.565618i | \(0.191362\pi\) | |||||||
\(930\) | 4.97437 | + | 2.50113i | 0.163116 | + | 0.0820153i | ||||
\(931\) | 46.9770 | 1.53961 | ||||||||
\(932\) | 4.22723 | − | 13.0101i | 0.138468 | − | 0.426160i | ||||
\(933\) | 6.51958 | + | 1.38578i | 0.213441 | + | 0.0453684i | ||||
\(934\) | −19.3529 | − | 14.0607i | −0.633247 | − | 0.460081i | ||||
\(935\) | 21.0202 | + | 36.4081i | 0.687434 | + | 1.19067i | ||||
\(936\) | −0.179813 | + | 0.311445i | −0.00587736 | + | 0.0101799i | ||||
\(937\) | 40.5578 | − | 18.0575i | 1.32496 | − | 0.589912i | 0.382419 | − | 0.923989i | \(-0.375091\pi\) |
0.942546 | + | 0.334077i | \(0.108424\pi\) | |||||||
\(938\) | −37.9493 | + | 27.5717i | −1.23909 | + | 0.900250i | ||||
\(939\) | 20.6735 | + | 9.20444i | 0.674654 | + | 0.300376i | ||||
\(940\) | −2.12697 | + | 0.452102i | −0.0693741 | + | 0.0147459i | ||||
\(941\) | −1.40288 | + | 13.3475i | −0.0457327 | + | 0.435118i | 0.947568 | + | 0.319556i | \(0.103534\pi\) |
−0.993300 | + | 0.115562i | \(0.963133\pi\) | |||||||
\(942\) | 4.72789 | + | 5.25085i | 0.154043 | + | 0.171082i | ||||
\(943\) | −8.29711 | + | 9.21488i | −0.270191 | + | 0.300078i | ||||
\(944\) | 0.519619 | + | 4.94385i | 0.0169122 | + | 0.160909i | ||||
\(945\) | 1.20906 | + | 3.72109i | 0.0393306 | + | 0.121047i | ||||
\(946\) | −13.7930 | − | 42.4505i | −0.448449 | − | 1.38018i | ||||
\(947\) | −4.79408 | − | 45.6126i | −0.155787 | − | 1.48221i | −0.741095 | − | 0.671400i | \(-0.765693\pi\) |
0.585309 | − | 0.810810i | \(-0.300973\pi\) | |||||||
\(948\) | −4.34165 | + | 4.82189i | −0.141010 | + | 0.156608i | ||||
\(949\) | −3.72490 | − | 4.13692i | −0.120915 | − | 0.134290i | ||||
\(950\) | −0.591023 | + | 5.62321i | −0.0191753 | + | 0.182441i | ||||
\(951\) | 19.7013 | − | 4.18764i | 0.638858 | − | 0.135794i | ||||
\(952\) | 22.9773 | + | 10.2302i | 0.744700 | + | 0.331562i | ||||
\(953\) | −35.3665 | + | 25.6953i | −1.14563 | + | 0.832352i | −0.987894 | − | 0.155129i | \(-0.950421\pi\) |
−0.157740 | + | 0.987481i | \(0.550421\pi\) | |||||||
\(954\) | −3.70353 | + | 1.64892i | −0.119906 | + | 0.0533857i | ||||
\(955\) | −5.34391 | + | 9.25592i | −0.172925 | + | 0.299515i | ||||
\(956\) | 11.4766 | + | 19.8781i | 0.371180 | + | 0.642902i | ||||
\(957\) | −0.653715 | − | 0.474952i | −0.0211316 | − | 0.0153530i | ||||
\(958\) | −7.98640 | − | 1.69756i | −0.258029 | − | 0.0548457i | ||||
\(959\) | −5.64544 | + | 17.3749i | −0.182301 | + | 0.561064i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | 18.4887 | + | 24.8831i | 0.596410 | + | 0.802680i | ||||
\(962\) | −0.104250 | −0.00336117 | ||||||||
\(963\) | −1.83176 | + | 5.63758i | −0.0590277 | + | 0.181669i | ||||
\(964\) | 19.6324 | + | 4.17299i | 0.632317 | + | 0.134403i | ||||
\(965\) | −18.1829 | − | 13.2106i | −0.585328 | − | 0.425266i | ||||
\(966\) | −2.61803 | − | 4.53457i | −0.0842339 | − | 0.145897i | ||||
\(967\) | −28.2831 | + | 48.9878i | −0.909524 | + | 1.57534i | −0.0947982 | + | 0.995497i | \(0.530221\pi\) |
−0.814726 | + | 0.579846i | \(0.803113\pi\) | |||||||
\(968\) | 29.0219 | − | 12.9214i | 0.932801 | − | 0.415310i | ||||
\(969\) | 29.4058 | − | 21.3645i | 0.944649 | − | 0.686328i | ||||
\(970\) | 12.5231 | + | 5.57563i | 0.402091 | + | 0.179023i | ||||
\(971\) | 15.1365 | − | 3.21737i | 0.485754 | − | 0.103250i | 0.0414768 | − | 0.999139i | \(-0.486794\pi\) |
0.444278 | + | 0.895889i | \(0.353460\pi\) | |||||||
\(972\) | 0.104528 | − | 0.994522i | 0.00335275 | − | 0.0318993i | ||||
\(973\) | 11.2505 | + | 12.4950i | 0.360675 | + | 0.400570i | ||||
\(974\) | 4.20019 | − | 4.66479i | 0.134583 | − | 0.149469i | ||||
\(975\) | 0.0375911 | + | 0.357655i | 0.00120388 | + | 0.0114541i | ||||
\(976\) | 3.42376 | + | 10.5373i | 0.109592 | + | 0.337289i | ||||
\(977\) | 17.1651 | + | 52.8288i | 0.549160 | + | 1.69014i | 0.710887 | + | 0.703306i | \(0.248294\pi\) |
−0.161727 | + | 0.986836i | \(0.551706\pi\) | |||||||
\(978\) | 0.430142 | + | 4.09252i | 0.0137544 | + | 0.130864i | ||||
\(979\) | 27.4665 | − | 30.5046i | 0.877832 | − | 0.974932i | ||||
\(980\) | −5.55938 | − | 6.17432i | −0.177588 | − | 0.197231i | ||||
\(981\) | −0.495410 | + | 4.71351i | −0.0158172 | + | 0.150491i | ||||
\(982\) | −12.1581 | + | 2.58429i | −0.387981 | + | 0.0824679i | ||||
\(983\) | 36.1515 | + | 16.0957i | 1.15305 | + | 0.513372i | 0.892037 | − | 0.451963i | \(-0.149276\pi\) |
0.261015 | + | 0.965335i | \(0.415943\pi\) | |||||||
\(984\) | 7.49606 | − | 5.44620i | 0.238966 | − | 0.173619i | ||||
\(985\) | 18.0072 | − | 8.01733i | 0.573758 | − | 0.255453i | ||||
\(986\) | 0.397140 | − | 0.687867i | 0.0126475 | − | 0.0219062i | ||||
\(987\) | −4.25394 | − | 7.36804i | −0.135404 | − | 0.234527i | ||||
\(988\) | −1.64505 | − | 1.19520i | −0.0523359 | − | 0.0380242i | ||||
\(989\) | −8.93428 | − | 1.89904i | −0.284094 | − | 0.0603859i | ||||
\(990\) | −2.02090 | + | 6.21968i | −0.0642283 | + | 0.197674i | ||||
\(991\) | 15.9409 | 0.506378 | 0.253189 | − | 0.967417i | \(-0.418521\pi\) | ||||
0.253189 | + | 0.967417i | \(0.418521\pi\) | |||||||
\(992\) | 4.97437 | + | 2.50113i | 0.157936 | + | 0.0794110i | ||||
\(993\) | 10.3513 | 0.328490 | ||||||||
\(994\) | 10.4364 | − | 32.1199i | 0.331022 | − | 1.01878i | ||||
\(995\) | 0.946768 | + | 0.201242i | 0.0300146 | + | 0.00637979i | ||||
\(996\) | 3.57433 | + | 2.59690i | 0.113257 | + | 0.0822860i | ||||
\(997\) | 20.5797 | + | 35.6450i | 0.651764 | + | 1.12889i | 0.982695 | + | 0.185233i | \(0.0593041\pi\) |
−0.330930 | + | 0.943655i | \(0.607363\pi\) | |||||||
\(998\) | 9.69598 | − | 16.7939i | 0.306921 | − | 0.531602i | ||||
\(999\) | 0.264824 | − | 0.117907i | 0.00837866 | − | 0.00373042i |
(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 | 930.2.bg.a.691.1 | ✓ | 8 | |
31.7 | even | 15 | inner | 930.2.bg.a.751.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.a.691.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
930.2.bg.a.751.1 | yes | 8 | 31.7 | even | 15 | inner |