Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(115,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.115");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.f (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 7 x^{14} - 13 x^{13} + 51 x^{12} - 74 x^{11} + 332 x^{10} - 614 x^{9} + 1832 x^{8} - 2960 x^{7} + 5348 x^{6} - 6872 x^{5} + 8232 x^{4} - 6344 x^{3} + 3984 x^{2} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 229.2 | ||
Root | \(0.0560397 - 0.0407152i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 418.229 |
Dual form | 418.2.f.g.115.2 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 | ||||
\(3\) | 0.0560397 | − | 0.0407152i | 0.0323545 | − | 0.0235069i | −0.571490 | − | 0.820609i | \(-0.693635\pi\) |
0.603845 | + | 0.797102i | \(0.293635\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.340306 | + | 1.04736i | 0.152190 | + | 0.468392i | 0.997865 | − | 0.0653056i | \(-0.0208022\pi\) |
−0.845676 | + | 0.533697i | \(0.820802\pi\) | |||||||
\(6\) | 0.0214053 | + | 0.0658786i | 0.00873866 | + | 0.0268948i | ||||
\(7\) | −1.61489 | − | 1.17328i | −0.610370 | − | 0.443459i | 0.239175 | − | 0.970977i | \(-0.423123\pi\) |
−0.849544 | + | 0.527517i | \(0.823123\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −0.925568 | + | 2.84861i | −0.308523 | + | 0.949535i | ||||
\(10\) | −1.10125 | −0.348247 | ||||||||
\(11\) | −2.57744 | − | 2.08730i | −0.777127 | − | 0.629344i | ||||
\(12\) | −0.0692689 | −0.0199962 | ||||||||
\(13\) | −1.96288 | + | 6.04113i | −0.544406 | + | 1.67551i | 0.177993 | + | 0.984032i | \(0.443040\pi\) |
−0.722398 | + | 0.691477i | \(0.756960\pi\) | |||||||
\(14\) | 1.61489 | − | 1.17328i | 0.431596 | − | 0.313573i | ||||
\(15\) | 0.0617140 | + | 0.0448378i | 0.0159345 | + | 0.0115771i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 1.56097 | + | 4.80417i | 0.378591 | + | 1.16518i | 0.941024 | + | 0.338340i | \(0.109866\pi\) |
−0.562433 | + | 0.826843i | \(0.690134\pi\) | |||||||
\(18\) | −2.42317 | − | 1.76054i | −0.571146 | − | 0.414962i | ||||
\(19\) | −0.809017 | + | 0.587785i | −0.185601 | + | 0.134847i | ||||
\(20\) | 0.340306 | − | 1.04736i | 0.0760948 | − | 0.234196i | ||||
\(21\) | −0.138268 | −0.0301726 | ||||||||
\(22\) | 2.78161 | − | 1.80628i | 0.593041 | − | 0.385100i | ||||
\(23\) | −4.99785 | −1.04212 | −0.521062 | − | 0.853519i | \(-0.674464\pi\) | ||||
−0.521062 | + | 0.853519i | \(0.674464\pi\) | |||||||
\(24\) | 0.0214053 | − | 0.0658786i | 0.00436933 | − | 0.0134474i | ||||
\(25\) | 3.06394 | − | 2.22608i | 0.612788 | − | 0.445217i | ||||
\(26\) | −5.13889 | − | 3.73363i | −1.00782 | − | 0.732224i | ||||
\(27\) | 0.128329 | + | 0.394956i | 0.0246969 | + | 0.0760093i | ||||
\(28\) | 0.616832 | + | 1.89841i | 0.116570 | + | 0.358766i | ||||
\(29\) | −1.32526 | − | 0.962857i | −0.246094 | − | 0.178798i | 0.457900 | − | 0.889004i | \(-0.348602\pi\) |
−0.703994 | + | 0.710206i | \(0.748602\pi\) | |||||||
\(30\) | −0.0617140 | + | 0.0448378i | −0.0112674 | + | 0.00818623i | ||||
\(31\) | −1.09630 | + | 3.37406i | −0.196901 | + | 0.605998i | 0.803048 | + | 0.595914i | \(0.203210\pi\) |
−0.999949 | + | 0.0100844i | \(0.996790\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.229424 | − | 0.0120307i | −0.0399375 | − | 0.00209427i | ||||
\(34\) | −5.05141 | −0.866309 | ||||||||
\(35\) | 0.679289 | − | 2.09064i | 0.114821 | − | 0.353382i | ||||
\(36\) | 2.42317 | − | 1.76054i | 0.403862 | − | 0.293423i | ||||
\(37\) | −0.772437 | − | 0.561208i | −0.126988 | − | 0.0922621i | 0.522478 | − | 0.852653i | \(-0.325008\pi\) |
−0.649466 | + | 0.760391i | \(0.725008\pi\) | |||||||
\(38\) | −0.309017 | − | 0.951057i | −0.0501292 | − | 0.154282i | ||||
\(39\) | 0.135967 | + | 0.418463i | 0.0217721 | + | 0.0670076i | ||||
\(40\) | 0.890934 | + | 0.647301i | 0.140869 | + | 0.102347i | ||||
\(41\) | −7.31752 | + | 5.31649i | −1.14281 | + | 0.830297i | −0.987508 | − | 0.157571i | \(-0.949634\pi\) |
−0.155298 | + | 0.987868i | \(0.549634\pi\) | |||||||
\(42\) | 0.0427272 | − | 0.131501i | 0.00659296 | − | 0.0202910i | ||||
\(43\) | 5.25250 | 0.800998 | 0.400499 | − | 0.916297i | \(-0.368837\pi\) | ||||
0.400499 | + | 0.916297i | \(0.368837\pi\) | |||||||
\(44\) | 0.858307 | + | 3.20364i | 0.129395 | + | 0.482967i | ||||
\(45\) | −3.29848 | −0.491708 | ||||||||
\(46\) | 1.54442 | − | 4.75324i | 0.227712 | − | 0.700827i | ||||
\(47\) | −0.454281 | + | 0.330054i | −0.0662637 | + | 0.0481434i | −0.620424 | − | 0.784267i | \(-0.713039\pi\) |
0.554160 | + | 0.832410i | \(0.313039\pi\) | |||||||
\(48\) | 0.0560397 | + | 0.0407152i | 0.00808863 | + | 0.00587674i | ||||
\(49\) | −0.931856 | − | 2.86796i | −0.133122 | − | 0.409708i | ||||
\(50\) | 1.17032 | + | 3.60188i | 0.165508 | + | 0.509382i | ||||
\(51\) | 0.283079 | + | 0.205669i | 0.0396390 | + | 0.0287995i | ||||
\(52\) | 5.13889 | − | 3.73363i | 0.712636 | − | 0.517761i | ||||
\(53\) | 2.19428 | − | 6.75329i | 0.301407 | − | 0.927635i | −0.679587 | − | 0.733595i | \(-0.737841\pi\) |
0.980994 | − | 0.194040i | \(-0.0621592\pi\) | |||||||
\(54\) | −0.415281 | −0.0565126 | ||||||||
\(55\) | 1.30903 | − | 3.40981i | 0.176509 | − | 0.459779i | ||||
\(56\) | −1.99611 | −0.266741 | ||||||||
\(57\) | −0.0214053 | + | 0.0658786i | −0.00283520 | + | 0.00872584i | ||||
\(58\) | 1.32526 | − | 0.962857i | 0.174015 | − | 0.126429i | ||||
\(59\) | 2.36038 | + | 1.71492i | 0.307295 | + | 0.223263i | 0.730735 | − | 0.682661i | \(-0.239177\pi\) |
−0.423440 | + | 0.905924i | \(0.639177\pi\) | |||||||
\(60\) | −0.0235726 | − | 0.0725492i | −0.00304322 | − | 0.00936606i | ||||
\(61\) | 0.413052 | + | 1.27124i | 0.0528859 | + | 0.162766i | 0.974011 | − | 0.226500i | \(-0.0727285\pi\) |
−0.921125 | + | 0.389267i | \(0.872728\pi\) | |||||||
\(62\) | −2.87014 | − | 2.08528i | −0.364508 | − | 0.264831i | ||||
\(63\) | 4.83691 | − | 3.51422i | 0.609393 | − | 0.442750i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −6.99520 | −0.867647 | ||||||||
\(66\) | 0.0823377 | − | 0.214477i | 0.0101351 | − | 0.0264003i | ||||
\(67\) | 11.1011 | 1.35622 | 0.678108 | − | 0.734962i | \(-0.262800\pi\) | ||||
0.678108 | + | 0.734962i | \(0.262800\pi\) | |||||||
\(68\) | 1.56097 | − | 4.80417i | 0.189296 | − | 0.582592i | ||||
\(69\) | −0.280078 | + | 0.203489i | −0.0337174 | + | 0.0244971i | ||||
\(70\) | 1.77840 | + | 1.29208i | 0.212560 | + | 0.154434i | ||||
\(71\) | 2.47414 | + | 7.61462i | 0.293626 | + | 0.903689i | 0.983679 | + | 0.179930i | \(0.0575872\pi\) |
−0.690053 | + | 0.723759i | \(0.742413\pi\) | |||||||
\(72\) | 0.925568 | + | 2.84861i | 0.109079 | + | 0.335711i | ||||
\(73\) | 2.03944 | + | 1.48174i | 0.238698 | + | 0.173424i | 0.700703 | − | 0.713453i | \(-0.252870\pi\) |
−0.462005 | + | 0.886877i | \(0.652870\pi\) | |||||||
\(74\) | 0.772437 | − | 0.561208i | 0.0897940 | − | 0.0652391i | ||||
\(75\) | 0.0810668 | − | 0.249498i | 0.00936079 | − | 0.0288096i | ||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | 1.71327 | + | 6.39481i | 0.195246 | + | 0.728757i | ||||
\(78\) | −0.439998 | −0.0498199 | ||||||||
\(79\) | 3.66024 | − | 11.2651i | 0.411809 | − | 1.26742i | −0.503265 | − | 0.864132i | \(-0.667868\pi\) |
0.915074 | − | 0.403286i | \(-0.132132\pi\) | |||||||
\(80\) | −0.890934 | + | 0.647301i | −0.0996094 | + | 0.0723705i | ||||
\(81\) | −7.24624 | − | 5.26470i | −0.805137 | − | 0.584966i | ||||
\(82\) | −2.79505 | − | 8.60227i | −0.308661 | − | 0.949961i | ||||
\(83\) | 3.01703 | + | 9.28548i | 0.331163 | + | 1.01921i | 0.968582 | + | 0.248696i | \(0.0800020\pi\) |
−0.637419 | + | 0.770517i | \(0.719998\pi\) | |||||||
\(84\) | 0.111861 | + | 0.0812720i | 0.0122051 | + | 0.00886751i | ||||
\(85\) | −4.50047 | + | 3.26978i | −0.488145 | + | 0.354658i | ||||
\(86\) | −1.62311 | + | 4.99542i | −0.175025 | + | 0.538670i | ||||
\(87\) | −0.113470 | −0.0121653 | ||||||||
\(88\) | −3.31207 | − | 0.173681i | −0.353068 | − | 0.0185144i | ||||
\(89\) | 8.93586 | 0.947199 | 0.473600 | − | 0.880740i | \(-0.342954\pi\) | ||||
0.473600 | + | 0.880740i | \(0.342954\pi\) | |||||||
\(90\) | 1.01929 | − | 3.13704i | 0.107442 | − | 0.330673i | ||||
\(91\) | 10.2578 | − | 7.45272i | 1.07531 | − | 0.781258i | ||||
\(92\) | 4.04335 | + | 2.93766i | 0.421548 | + | 0.306272i | ||||
\(93\) | 0.0759393 | + | 0.233717i | 0.00787454 | + | 0.0242353i | ||||
\(94\) | −0.173520 | − | 0.534039i | −0.0178972 | − | 0.0550819i | ||||
\(95\) | −0.890934 | − | 0.647301i | −0.0914079 | − | 0.0664117i | ||||
\(96\) | −0.0560397 | + | 0.0407152i | −0.00571953 | + | 0.00415548i | ||||
\(97\) | 0.196662 | − | 0.605263i | 0.0199680 | − | 0.0614552i | −0.940576 | − | 0.339583i | \(-0.889714\pi\) |
0.960544 | + | 0.278128i | \(0.0897140\pi\) | |||||||
\(98\) | 3.01555 | 0.304616 | ||||||||
\(99\) | 8.33149 | − | 5.41017i | 0.837346 | − | 0.543742i | ||||
\(100\) | −3.78724 | −0.378724 | ||||||||
\(101\) | −3.13583 | + | 9.65111i | −0.312027 | + | 0.960321i | 0.664934 | + | 0.746902i | \(0.268460\pi\) |
−0.976961 | + | 0.213419i | \(0.931540\pi\) | |||||||
\(102\) | −0.283079 | + | 0.205669i | −0.0280290 | + | 0.0203643i | ||||
\(103\) | 0.241589 | + | 0.175525i | 0.0238045 | + | 0.0172949i | 0.599624 | − | 0.800282i | \(-0.295317\pi\) |
−0.575819 | + | 0.817577i | \(0.695317\pi\) | |||||||
\(104\) | 1.96288 | + | 6.04113i | 0.192477 | + | 0.592382i | ||||
\(105\) | −0.0470536 | − | 0.144816i | −0.00459196 | − | 0.0141326i | ||||
\(106\) | 5.74469 | + | 4.17376i | 0.557974 | + | 0.405392i | ||||
\(107\) | −10.1334 | + | 7.36236i | −0.979634 | + | 0.711746i | −0.957627 | − | 0.288012i | \(-0.907006\pi\) |
−0.0220074 | + | 0.999758i | \(0.507006\pi\) | |||||||
\(108\) | 0.128329 | − | 0.394956i | 0.0123485 | − | 0.0380046i | ||||
\(109\) | 19.4120 | 1.85933 | 0.929666 | − | 0.368402i | \(-0.120095\pi\) | ||||
0.929666 | + | 0.368402i | \(0.120095\pi\) | |||||||
\(110\) | 2.83842 | + | 2.29865i | 0.270632 | + | 0.219167i | ||||
\(111\) | −0.0661369 | −0.00627743 | ||||||||
\(112\) | 0.616832 | − | 1.89841i | 0.0582851 | − | 0.179383i | ||||
\(113\) | 10.0246 | − | 7.28326i | 0.943031 | − | 0.685152i | −0.00611771 | − | 0.999981i | \(-0.501947\pi\) |
0.949148 | + | 0.314829i | \(0.101947\pi\) | |||||||
\(114\) | −0.0560397 | − | 0.0407152i | −0.00524860 | − | 0.00381333i | ||||
\(115\) | −1.70080 | − | 5.23453i | −0.158600 | − | 0.488122i | ||||
\(116\) | 0.506204 | + | 1.55794i | 0.0469999 | + | 0.144651i | ||||
\(117\) | −15.3920 | − | 11.1830i | −1.42299 | − | 1.03387i | ||||
\(118\) | −2.36038 | + | 1.71492i | −0.217291 | + | 0.157871i | ||||
\(119\) | 3.11587 | − | 9.58965i | 0.285631 | − | 0.879082i | ||||
\(120\) | 0.0762827 | 0.00696363 | ||||||||
\(121\) | 2.28637 | + | 10.7598i | 0.207852 | + | 0.978160i | ||||
\(122\) | −1.33666 | −0.121016 | ||||||||
\(123\) | −0.193610 | + | 0.595869i | −0.0174572 | + | 0.0537277i | ||||
\(124\) | 2.87014 | − | 2.08528i | 0.257746 | − | 0.187264i | ||||
\(125\) | 7.82885 | + | 5.68799i | 0.700233 | + | 0.508749i | ||||
\(126\) | 1.84754 | + | 5.68613i | 0.164592 | + | 0.506561i | ||||
\(127\) | 3.41145 | + | 10.4994i | 0.302717 | + | 0.931667i | 0.980519 | + | 0.196423i | \(0.0629325\pi\) |
−0.677802 | + | 0.735244i | \(0.737068\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 0.294348 | − | 0.213857i | 0.0259159 | − | 0.0188290i | ||||
\(130\) | 2.16163 | − | 6.65283i | 0.189588 | − | 0.583492i | ||||
\(131\) | −15.7061 | −1.37225 | −0.686126 | − | 0.727483i | \(-0.740690\pi\) | ||||
−0.686126 | + | 0.727483i | \(0.740690\pi\) | |||||||
\(132\) | 0.178536 | + | 0.144585i | 0.0155396 | + | 0.0125845i | ||||
\(133\) | 1.99611 | 0.173085 | ||||||||
\(134\) | −3.43043 | + | 10.5578i | −0.296344 | + | 0.912053i | ||||
\(135\) | −0.369988 | + | 0.268812i | −0.0318435 | + | 0.0231356i | ||||
\(136\) | 4.08667 | + | 2.96914i | 0.350429 | + | 0.254602i | ||||
\(137\) | 2.25311 | + | 6.93436i | 0.192496 | + | 0.592442i | 0.999997 | + | 0.00257538i | \(0.000819770\pi\) |
−0.807501 | + | 0.589867i | \(0.799180\pi\) | |||||||
\(138\) | −0.106980 | − | 0.329251i | −0.00910677 | − | 0.0280277i | ||||
\(139\) | −2.99863 | − | 2.17863i | −0.254341 | − | 0.184789i | 0.453308 | − | 0.891354i | \(-0.350244\pi\) |
−0.707648 | + | 0.706565i | \(0.750244\pi\) | |||||||
\(140\) | −1.77840 | + | 1.29208i | −0.150302 | + | 0.109201i | ||||
\(141\) | −0.0120195 | + | 0.0369923i | −0.00101223 | + | 0.00311531i | ||||
\(142\) | −8.00649 | −0.671889 | ||||||||
\(143\) | 17.6689 | − | 11.4735i | 1.47754 | − | 0.959464i | ||||
\(144\) | −2.99520 | −0.249600 | ||||||||
\(145\) | 0.557460 | − | 1.71568i | 0.0462945 | − | 0.142480i | ||||
\(146\) | −2.03944 | + | 1.48174i | −0.168785 | + | 0.122629i | ||||
\(147\) | −0.168991 | − | 0.122779i | −0.0139381 | − | 0.0101266i | ||||
\(148\) | 0.295045 | + | 0.908054i | 0.0242525 | + | 0.0746416i | ||||
\(149\) | 0.488023 | + | 1.50198i | 0.0399804 | + | 0.123047i | 0.969055 | − | 0.246846i | \(-0.0793943\pi\) |
−0.929074 | + | 0.369893i | \(0.879394\pi\) | |||||||
\(150\) | 0.212236 | + | 0.154198i | 0.0173290 | + | 0.0125902i | ||||
\(151\) | −17.0001 | + | 12.3513i | −1.38345 | + | 1.00513i | −0.386898 | + | 0.922123i | \(0.626453\pi\) |
−0.996549 | + | 0.0830098i | \(0.973547\pi\) | |||||||
\(152\) | −0.309017 | + | 0.951057i | −0.0250646 | + | 0.0771409i | ||||
\(153\) | −15.1300 | −1.22319 | ||||||||
\(154\) | −6.61126 | − | 0.346685i | −0.532751 | − | 0.0279367i | ||||
\(155\) | −3.90691 | −0.313811 | ||||||||
\(156\) | 0.135967 | − | 0.418463i | 0.0108861 | − | 0.0335038i | ||||
\(157\) | 7.39511 | − | 5.37286i | 0.590194 | − | 0.428801i | −0.252191 | − | 0.967678i | \(-0.581151\pi\) |
0.842385 | + | 0.538876i | \(0.181151\pi\) | |||||||
\(158\) | 9.58263 | + | 6.96219i | 0.762353 | + | 0.553882i | ||||
\(159\) | −0.151995 | − | 0.467793i | −0.0120540 | − | 0.0370984i | ||||
\(160\) | −0.340306 | − | 1.04736i | −0.0269036 | − | 0.0828007i | ||||
\(161\) | 8.07096 | + | 5.86389i | 0.636081 | + | 0.462140i | ||||
\(162\) | 7.24624 | − | 5.26470i | 0.569318 | − | 0.413634i | ||||
\(163\) | 4.44768 | − | 13.6886i | 0.348369 | − | 1.07217i | −0.611386 | − | 0.791333i | \(-0.709388\pi\) |
0.959755 | − | 0.280838i | \(-0.0906123\pi\) | |||||||
\(164\) | 9.04496 | 0.706292 | ||||||||
\(165\) | −0.0654740 | − | 0.244382i | −0.00509714 | − | 0.0190251i | ||||
\(166\) | −9.76333 | −0.757781 | ||||||||
\(167\) | 3.97898 | − | 12.2460i | 0.307903 | − | 0.947627i | −0.670675 | − | 0.741751i | \(-0.733996\pi\) |
0.978578 | − | 0.205876i | \(-0.0660044\pi\) | |||||||
\(168\) | −0.111861 | + | 0.0812720i | −0.00863029 | + | 0.00627027i | ||||
\(169\) | −22.1252 | − | 16.0749i | −1.70194 | − | 1.23653i | ||||
\(170\) | −1.71903 | − | 5.29062i | −0.131843 | − | 0.405772i | ||||
\(171\) | −0.925568 | − | 2.84861i | −0.0707800 | − | 0.217838i | ||||
\(172\) | −4.24936 | − | 3.08734i | −0.324011 | − | 0.235407i | ||||
\(173\) | −10.7254 | + | 7.79246i | −0.815437 | + | 0.592450i | −0.915402 | − | 0.402541i | \(-0.868127\pi\) |
0.0999646 | + | 0.994991i | \(0.468127\pi\) | |||||||
\(174\) | 0.0350642 | − | 0.107916i | 0.00265821 | − | 0.00818113i | ||||
\(175\) | −7.55974 | −0.571463 | ||||||||
\(176\) | 1.18867 | − | 3.09630i | 0.0895992 | − | 0.233392i | ||||
\(177\) | 0.202098 | 0.0151906 | ||||||||
\(178\) | −2.76133 | + | 8.49851i | −0.206971 | + | 0.636990i | ||||
\(179\) | 15.5149 | − | 11.2723i | 1.15964 | − | 0.842528i | 0.169908 | − | 0.985460i | \(-0.445653\pi\) |
0.989733 | + | 0.142932i | \(0.0456530\pi\) | |||||||
\(180\) | 2.66853 | + | 1.93880i | 0.198900 | + | 0.144509i | ||||
\(181\) | −1.44623 | − | 4.45105i | −0.107498 | − | 0.330844i | 0.882811 | − | 0.469729i | \(-0.155648\pi\) |
−0.990309 | + | 0.138885i | \(0.955648\pi\) | |||||||
\(182\) | 3.91813 | + | 12.0588i | 0.290431 | + | 0.893855i | ||||
\(183\) | 0.0749063 | + | 0.0544226i | 0.00553723 | + | 0.00402304i | ||||
\(184\) | −4.04335 | + | 2.93766i | −0.298079 | + | 0.216567i | ||||
\(185\) | 0.324919 | − | 0.999999i | 0.0238885 | − | 0.0735214i | ||||
\(186\) | −0.245745 | −0.0180189 | ||||||||
\(187\) | 6.00444 | − | 15.6407i | 0.439088 | − | 1.14376i | ||||
\(188\) | 0.561522 | 0.0409532 | ||||||||
\(189\) | 0.256158 | − | 0.788374i | 0.0186328 | − | 0.0573458i | ||||
\(190\) | 0.890934 | − | 0.647301i | 0.0646351 | − | 0.0469602i | ||||
\(191\) | −4.29311 | − | 3.11913i | −0.310638 | − | 0.225692i | 0.421532 | − | 0.906814i | \(-0.361493\pi\) |
−0.732170 | + | 0.681122i | \(0.761493\pi\) | |||||||
\(192\) | −0.0214053 | − | 0.0658786i | −0.00154479 | − | 0.00475438i | ||||
\(193\) | 0.0912482 | + | 0.280833i | 0.00656819 | + | 0.0202148i | 0.954287 | − | 0.298892i | \(-0.0966171\pi\) |
−0.947719 | + | 0.319107i | \(0.896617\pi\) | |||||||
\(194\) | 0.514868 | + | 0.374073i | 0.0369653 | + | 0.0268569i | ||||
\(195\) | −0.392009 | + | 0.284811i | −0.0280723 | + | 0.0203957i | ||||
\(196\) | −0.931856 | + | 2.86796i | −0.0665611 | + | 0.204854i | ||||
\(197\) | −24.5980 | −1.75253 | −0.876267 | − | 0.481826i | \(-0.839974\pi\) | ||||
−0.876267 | + | 0.481826i | \(0.839974\pi\) | |||||||
\(198\) | 2.57080 | + | 9.59555i | 0.182699 | + | 0.681926i | ||||
\(199\) | −22.0602 | −1.56381 | −0.781903 | − | 0.623400i | \(-0.785751\pi\) | ||||
−0.781903 | + | 0.623400i | \(0.785751\pi\) | |||||||
\(200\) | 1.17032 | − | 3.60188i | 0.0827542 | − | 0.254691i | ||||
\(201\) | 0.622103 | − | 0.451984i | 0.0438797 | − | 0.0318805i | ||||
\(202\) | −8.20972 | − | 5.96471i | −0.577634 | − | 0.419676i | ||||
\(203\) | 1.01044 | + | 3.10981i | 0.0709189 | + | 0.218266i | ||||
\(204\) | −0.108127 | − | 0.332780i | −0.00757038 | − | 0.0232992i | ||||
\(205\) | −8.05846 | − | 5.85481i | −0.562827 | − | 0.408918i | ||||
\(206\) | −0.241589 | + | 0.175525i | −0.0168323 | + | 0.0122294i | ||||
\(207\) | 4.62585 | − | 14.2369i | 0.321519 | − | 0.989533i | ||||
\(208\) | −6.35202 | −0.440434 | ||||||||
\(209\) | 3.31207 | + | 0.173681i | 0.229101 | + | 0.0120137i | ||||
\(210\) | 0.152269 | 0.0105075 | ||||||||
\(211\) | −0.744593 | + | 2.29162i | −0.0512599 | + | 0.157762i | −0.973410 | − | 0.229071i | \(-0.926431\pi\) |
0.922150 | + | 0.386833i | \(0.126431\pi\) | |||||||
\(212\) | −5.74469 | + | 4.17376i | −0.394547 | + | 0.286655i | ||||
\(213\) | 0.448681 | + | 0.325986i | 0.0307431 | + | 0.0223362i | ||||
\(214\) | −3.87062 | − | 11.9125i | −0.264590 | − | 0.814325i | ||||
\(215\) | 1.78746 | + | 5.50123i | 0.121904 | + | 0.375181i | ||||
\(216\) | 0.335969 | + | 0.244096i | 0.0228598 | + | 0.0166086i | ||||
\(217\) | 5.72912 | − | 4.16245i | 0.388918 | − | 0.282565i | ||||
\(218\) | −5.99864 | + | 18.4619i | −0.406279 | + | 1.25040i | ||||
\(219\) | 0.174619 | 0.0117996 | ||||||||
\(220\) | −3.06326 | + | 1.98917i | −0.206525 | + | 0.134110i | ||||
\(221\) | −32.0867 | −2.15838 | ||||||||
\(222\) | 0.0204374 | − | 0.0628999i | 0.00137167 | − | 0.00422156i | ||||
\(223\) | 3.00641 | − | 2.18428i | 0.201324 | − | 0.146270i | −0.482556 | − | 0.875865i | \(-0.660291\pi\) |
0.683880 | + | 0.729595i | \(0.260291\pi\) | |||||||
\(224\) | 1.61489 | + | 1.17328i | 0.107899 | + | 0.0783933i | ||||
\(225\) | 3.50535 | + | 10.7883i | 0.233690 | + | 0.719223i | ||||
\(226\) | 3.82904 | + | 11.7846i | 0.254704 | + | 0.783898i | ||||
\(227\) | 9.84384 | + | 7.15197i | 0.653359 | + | 0.474693i | 0.864414 | − | 0.502781i | \(-0.167690\pi\) |
−0.211055 | + | 0.977474i | \(0.567690\pi\) | |||||||
\(228\) | 0.0560397 | − | 0.0407152i | 0.00371132 | − | 0.00269643i | ||||
\(229\) | −5.51474 | + | 16.9726i | −0.364424 | + | 1.12158i | 0.585917 | + | 0.810371i | \(0.300734\pi\) |
−0.950341 | + | 0.311211i | \(0.899266\pi\) | |||||||
\(230\) | 5.50391 | 0.362917 | ||||||||
\(231\) | 0.356378 | + | 0.288607i | 0.0234479 | + | 0.0189890i | ||||
\(232\) | −1.63811 | −0.107547 | ||||||||
\(233\) | −6.18040 | + | 19.0213i | −0.404892 | + | 1.24613i | 0.516094 | + | 0.856532i | \(0.327386\pi\) |
−0.920986 | + | 0.389597i | \(0.872614\pi\) | |||||||
\(234\) | 15.3920 | − | 11.1830i | 1.00621 | − | 0.731053i | ||||
\(235\) | −0.500279 | − | 0.363474i | −0.0326346 | − | 0.0237104i | ||||
\(236\) | −0.901585 | − | 2.77479i | −0.0586882 | − | 0.180624i | ||||
\(237\) | −0.253541 | − | 0.780318i | −0.0164692 | − | 0.0506871i | ||||
\(238\) | 8.15745 | + | 5.92673i | 0.528769 | + | 0.384173i | ||||
\(239\) | −12.6906 | + | 9.22023i | −0.820884 | + | 0.596407i | −0.916965 | − | 0.398967i | \(-0.869369\pi\) |
0.0960818 | + | 0.995373i | \(0.469369\pi\) | |||||||
\(240\) | −0.0235726 | + | 0.0725492i | −0.00152161 | + | 0.00468303i | ||||
\(241\) | 4.89755 | 0.315479 | 0.157740 | − | 0.987481i | \(-0.449579\pi\) | ||||
0.157740 | + | 0.987481i | \(0.449579\pi\) | |||||||
\(242\) | −10.9397 | − | 1.15049i | −0.703229 | − | 0.0739560i | ||||
\(243\) | −1.86627 | −0.119721 | ||||||||
\(244\) | 0.413052 | − | 1.27124i | 0.0264430 | − | 0.0813831i | ||||
\(245\) | 2.68665 | − | 1.95197i | 0.171644 | − | 0.124707i | ||||
\(246\) | −0.506877 | − | 0.368267i | −0.0323173 | − | 0.0234799i | ||||
\(247\) | −1.96288 | − | 6.04113i | −0.124895 | − | 0.384388i | ||||
\(248\) | 1.09630 | + | 3.37406i | 0.0696149 | + | 0.214253i | ||||
\(249\) | 0.547134 | + | 0.397516i | 0.0346732 | + | 0.0251916i | ||||
\(250\) | −7.82885 | + | 5.68799i | −0.495140 | + | 0.359740i | ||||
\(251\) | −7.58959 | + | 23.3583i | −0.479050 | + | 1.47437i | 0.361366 | + | 0.932424i | \(0.382311\pi\) |
−0.840416 | + | 0.541941i | \(0.817689\pi\) | |||||||
\(252\) | −5.97875 | −0.376626 | ||||||||
\(253\) | 12.8816 | + | 10.4320i | 0.809862 | + | 0.655855i | ||||
\(254\) | −11.0397 | −0.692691 | ||||||||
\(255\) | −0.119075 | + | 0.366475i | −0.00745677 | + | 0.0229496i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −7.90965 | − | 5.74670i | −0.493391 | − | 0.358469i | 0.313096 | − | 0.949721i | \(-0.398634\pi\) |
−0.806487 | + | 0.591252i | \(0.798634\pi\) | |||||||
\(258\) | 0.112431 | + | 0.346027i | 0.00699965 | + | 0.0215427i | ||||
\(259\) | 0.588941 | + | 1.81257i | 0.0365950 | + | 0.112628i | ||||
\(260\) | 5.65923 | + | 4.11167i | 0.350971 | + | 0.254995i | ||||
\(261\) | 3.96942 | − | 2.88395i | 0.245701 | − | 0.178512i | ||||
\(262\) | 4.85346 | − | 14.9374i | 0.299848 | − | 0.922837i | ||||
\(263\) | 0.209057 | 0.0128910 | 0.00644550 | − | 0.999979i | \(-0.497948\pi\) | ||||
0.00644550 | + | 0.999979i | \(0.497948\pi\) | |||||||
\(264\) | −0.192679 | + | 0.125119i | −0.0118586 | + | 0.00770053i | ||||
\(265\) | 7.81982 | 0.480368 | ||||||||
\(266\) | −0.616832 | + | 1.89841i | −0.0378204 | + | 0.116399i | ||||
\(267\) | 0.500763 | − | 0.363826i | 0.0306462 | − | 0.0222658i | ||||
\(268\) | −8.98098 | − | 6.52507i | −0.548601 | − | 0.398582i | ||||
\(269\) | 8.09093 | + | 24.9013i | 0.493313 | + | 1.51826i | 0.819570 | + | 0.572979i | \(0.194213\pi\) |
−0.326257 | + | 0.945281i | \(0.605787\pi\) | |||||||
\(270\) | −0.141323 | − | 0.434947i | −0.00860063 | − | 0.0264700i | ||||
\(271\) | −5.61212 | − | 4.07745i | −0.340912 | − | 0.247687i | 0.404134 | − | 0.914700i | \(-0.367573\pi\) |
−0.745047 | + | 0.667012i | \(0.767573\pi\) | |||||||
\(272\) | −4.08667 | + | 2.96914i | −0.247791 | + | 0.180031i | ||||
\(273\) | 0.271404 | − | 0.835297i | 0.0164261 | − | 0.0505545i | ||||
\(274\) | −7.29122 | −0.440478 | ||||||||
\(275\) | −12.5436 | − | 0.657770i | −0.756408 | − | 0.0396650i | ||||
\(276\) | 0.346195 | 0.0208385 | ||||||||
\(277\) | 6.91042 | − | 21.2681i | 0.415207 | − | 1.27787i | −0.496859 | − | 0.867831i | \(-0.665514\pi\) |
0.912066 | − | 0.410044i | \(-0.134486\pi\) | |||||||
\(278\) | 2.99863 | − | 2.17863i | 0.179846 | − | 0.130666i | ||||
\(279\) | −8.59666 | − | 6.24584i | −0.514668 | − | 0.373928i | ||||
\(280\) | −0.679289 | − | 2.09064i | −0.0405953 | − | 0.124939i | ||||
\(281\) | −7.88229 | − | 24.2592i | −0.470218 | − | 1.44718i | −0.852299 | − | 0.523054i | \(-0.824793\pi\) |
0.382081 | − | 0.924129i | \(-0.375207\pi\) | |||||||
\(282\) | −0.0314675 | − | 0.0228625i | −0.00187386 | − | 0.00136144i | ||||
\(283\) | 22.6224 | − | 16.4362i | 1.34476 | − | 0.977029i | 0.345510 | − | 0.938415i | \(-0.387706\pi\) |
0.999254 | − | 0.0386137i | \(-0.0122942\pi\) | |||||||
\(284\) | 2.47414 | − | 7.61462i | 0.146813 | − | 0.451845i | ||||
\(285\) | −0.0762827 | −0.00451860 | ||||||||
\(286\) | 5.45199 | + | 20.3496i | 0.322383 | + | 1.20330i | ||||
\(287\) | 18.0547 | 1.06574 | ||||||||
\(288\) | 0.925568 | − | 2.84861i | 0.0545396 | − | 0.167856i | ||||
\(289\) | −6.89017 | + | 5.00600i | −0.405304 | + | 0.294471i | ||||
\(290\) | 1.45945 | + | 1.06035i | 0.0857018 | + | 0.0622660i | ||||
\(291\) | −0.0136226 | − | 0.0419259i | −0.000798568 | − | 0.00245774i | ||||
\(292\) | −0.778996 | − | 2.39750i | −0.0455873 | − | 0.140303i | ||||
\(293\) | 7.86544 | + | 5.71458i | 0.459504 | + | 0.333849i | 0.793337 | − | 0.608783i | \(-0.208342\pi\) |
−0.333833 | + | 0.942632i | \(0.608342\pi\) | |||||||
\(294\) | 0.168991 | − | 0.122779i | 0.00985573 | − | 0.00716060i | ||||
\(295\) | −0.992875 | + | 3.05575i | −0.0578074 | + | 0.177913i | ||||
\(296\) | −0.954785 | −0.0554957 | ||||||||
\(297\) | 0.493631 | − | 1.28583i | 0.0286434 | − | 0.0746117i | ||||
\(298\) | −1.57927 | −0.0914849 | ||||||||
\(299\) | 9.81019 | − | 30.1927i | 0.567338 | − | 1.74609i | ||||
\(300\) | −0.212236 | + | 0.154198i | −0.0122534 | + | 0.00890264i | ||||
\(301\) | −8.48218 | − | 6.16267i | −0.488905 | − | 0.355210i | ||||
\(302\) | −6.49345 | − | 19.9848i | −0.373656 | − | 1.15000i | ||||
\(303\) | 0.217216 | + | 0.668521i | 0.0124787 | + | 0.0384056i | ||||
\(304\) | −0.809017 | − | 0.587785i | −0.0464003 | − | 0.0337118i | ||||
\(305\) | −1.19088 | + | 0.865225i | −0.0681896 | + | 0.0495426i | ||||
\(306\) | 4.67542 | − | 14.3895i | 0.267276 | − | 0.822591i | ||||
\(307\) | 34.2676 | 1.95575 | 0.977876 | − | 0.209183i | \(-0.0670805\pi\) | ||||
0.977876 | + | 0.209183i | \(0.0670805\pi\) | |||||||
\(308\) | 2.37271 | − | 6.18055i | 0.135198 | − | 0.352170i | ||||
\(309\) | 0.0206851 | 0.00117673 | ||||||||
\(310\) | 1.20730 | − | 3.71569i | 0.0685702 | − | 0.211037i | ||||
\(311\) | −17.5492 | + | 12.7502i | −0.995121 | + | 0.722998i | −0.961037 | − | 0.276421i | \(-0.910852\pi\) |
−0.0340847 | + | 0.999419i | \(0.510852\pi\) | |||||||
\(312\) | 0.355966 | + | 0.258624i | 0.0201526 | + | 0.0146417i | ||||
\(313\) | 4.37523 | + | 13.4656i | 0.247303 | + | 0.761120i | 0.995249 | + | 0.0973608i | \(0.0310401\pi\) |
−0.747946 | + | 0.663759i | \(0.768960\pi\) | |||||||
\(314\) | 2.82468 | + | 8.69347i | 0.159406 | + | 0.490601i | ||||
\(315\) | 5.32667 | + | 3.87005i | 0.300124 | + | 0.218053i | ||||
\(316\) | −9.58263 | + | 6.96219i | −0.539065 | + | 0.391654i | ||||
\(317\) | 4.90428 | − | 15.0938i | 0.275452 | − | 0.847753i | −0.713648 | − | 0.700505i | \(-0.752958\pi\) |
0.989100 | − | 0.147249i | \(-0.0470417\pi\) | |||||||
\(318\) | 0.491866 | 0.0275825 | ||||||||
\(319\) | 1.40600 | + | 5.24792i | 0.0787210 | + | 0.293827i | ||||
\(320\) | 1.10125 | 0.0615620 | ||||||||
\(321\) | −0.268114 | + | 0.825169i | −0.0149646 | + | 0.0460564i | ||||
\(322\) | −8.07096 | + | 5.86389i | −0.449777 | + | 0.326782i | ||||
\(323\) | −4.08667 | − | 2.96914i | −0.227389 | − | 0.165208i | ||||
\(324\) | 2.76782 | + | 8.51846i | 0.153768 | + | 0.473248i | ||||
\(325\) | 7.43391 | + | 22.8792i | 0.412359 | + | 1.26911i | ||||
\(326\) | 11.6442 | + | 8.45999i | 0.644912 | + | 0.468556i | ||||
\(327\) | 1.08784 | − | 0.790364i | 0.0601579 | − | 0.0437072i | ||||
\(328\) | −2.79505 | + | 8.60227i | −0.154331 | + | 0.474981i | ||||
\(329\) | 1.12086 | 0.0617949 | ||||||||
\(330\) | 0.252654 | + | 0.0132488i | 0.0139081 | + | 0.000729323i | ||||
\(331\) | 19.4908 | 1.07131 | 0.535655 | − | 0.844437i | \(-0.320065\pi\) | ||||
0.535655 | + | 0.844437i | \(0.320065\pi\) | |||||||
\(332\) | 3.01703 | − | 9.28548i | 0.165581 | − | 0.509607i | ||||
\(333\) | 2.31360 | − | 1.68093i | 0.126785 | − | 0.0921145i | ||||
\(334\) | 10.4171 | + | 7.56847i | 0.569999 | + | 0.414128i | ||||
\(335\) | 3.77778 | + | 11.6268i | 0.206402 | + | 0.635240i | ||||
\(336\) | −0.0427272 | − | 0.131501i | −0.00233096 | − | 0.00717396i | ||||
\(337\) | 23.1845 | + | 16.8445i | 1.26294 | + | 0.917580i | 0.998898 | − | 0.0469317i | \(-0.0149443\pi\) |
0.264042 | + | 0.964511i | \(0.414944\pi\) | |||||||
\(338\) | 22.1252 | − | 16.0749i | 1.20345 | − | 0.874358i | ||||
\(339\) | 0.265233 | − | 0.816304i | 0.0144055 | − | 0.0443355i | ||||
\(340\) | 5.56289 | 0.301690 | ||||||||
\(341\) | 9.86830 | − | 6.40812i | 0.534398 | − | 0.347019i | ||||
\(342\) | 2.99520 | 0.161962 | ||||||||
\(343\) | −6.17791 | + | 19.0136i | −0.333576 | + | 1.02664i | ||||
\(344\) | 4.24936 | − | 3.08734i | 0.229110 | − | 0.166458i | ||||
\(345\) | −0.308437 | − | 0.224093i | −0.0166057 | − | 0.0120647i | ||||
\(346\) | −4.09674 | − | 12.6085i | −0.220242 | − | 0.677835i | ||||
\(347\) | 2.94372 | + | 9.05982i | 0.158027 | + | 0.486357i | 0.998455 | − | 0.0555662i | \(-0.0176964\pi\) |
−0.840428 | + | 0.541923i | \(0.817696\pi\) | |||||||
\(348\) | 0.0917992 | + | 0.0666961i | 0.00492096 | + | 0.00357528i | ||||
\(349\) | −19.0824 | + | 13.8642i | −1.02146 | + | 0.742132i | −0.966581 | − | 0.256361i | \(-0.917476\pi\) |
−0.0548760 | + | 0.998493i | \(0.517476\pi\) | |||||||
\(350\) | 2.33609 | − | 7.18974i | 0.124869 | − | 0.384308i | ||||
\(351\) | −2.63787 | −0.140799 | ||||||||
\(352\) | 2.57744 | + | 2.08730i | 0.137378 | + | 0.111253i | ||||
\(353\) | −7.28551 | −0.387769 | −0.193884 | − | 0.981024i | \(-0.562109\pi\) | ||||
−0.193884 | + | 0.981024i | \(0.562109\pi\) | |||||||
\(354\) | −0.0624518 | + | 0.192207i | −0.00331927 | + | 0.0102157i | ||||
\(355\) | −7.13325 | + | 5.18261i | −0.378594 | + | 0.275064i | ||||
\(356\) | −7.22926 | − | 5.25237i | −0.383150 | − | 0.278375i | ||||
\(357\) | −0.215833 | − | 0.664265i | −0.0114231 | − | 0.0351566i | ||||
\(358\) | 5.92618 | + | 18.2389i | 0.313208 | + | 0.963956i | ||||
\(359\) | 1.03661 | + | 0.753141i | 0.0547102 | + | 0.0397493i | 0.614804 | − | 0.788680i | \(-0.289235\pi\) |
−0.560094 | + | 0.828429i | \(0.689235\pi\) | |||||||
\(360\) | −2.66853 | + | 1.93880i | −0.140644 | + | 0.102184i | ||||
\(361\) | 0.309017 | − | 0.951057i | 0.0162641 | − | 0.0500556i | ||||
\(362\) | 4.68011 | 0.245981 | ||||||||
\(363\) | 0.566214 | + | 0.509884i | 0.0297185 | + | 0.0267620i | ||||
\(364\) | −12.6793 | −0.664577 | ||||||||
\(365\) | −0.857873 | + | 2.64026i | −0.0449031 | + | 0.138198i | ||||
\(366\) | −0.0749063 | + | 0.0544226i | −0.00391542 | + | 0.00284472i | ||||
\(367\) | −16.9725 | − | 12.3312i | −0.885957 | − | 0.643685i | 0.0488641 | − | 0.998805i | \(-0.484440\pi\) |
−0.934821 | + | 0.355120i | \(0.884440\pi\) | |||||||
\(368\) | −1.54442 | − | 4.75324i | −0.0805085 | − | 0.247780i | ||||
\(369\) | −8.37172 | − | 25.7655i | −0.435815 | − | 1.34130i | ||||
\(370\) | 0.850650 | + | 0.618033i | 0.0442232 | + | 0.0321300i | ||||
\(371\) | −11.4670 | + | 8.33128i | −0.595338 | + | 0.432539i | ||||
\(372\) | 0.0759393 | − | 0.233717i | 0.00393727 | − | 0.0121177i | ||||
\(373\) | 28.1444 | 1.45726 | 0.728632 | − | 0.684906i | \(-0.240157\pi\) | ||||
0.728632 | + | 0.684906i | \(0.240157\pi\) | |||||||
\(374\) | 13.0197 | + | 10.5438i | 0.673232 | + | 0.545207i | ||||
\(375\) | 0.670314 | 0.0346149 | ||||||||
\(376\) | −0.173520 | + | 0.534039i | −0.00894860 | + | 0.0275410i | ||||
\(377\) | 8.41808 | − | 6.11609i | 0.433553 | − | 0.314995i | ||||
\(378\) | 0.670631 | + | 0.487242i | 0.0344936 | + | 0.0250610i | ||||
\(379\) | −0.987289 | − | 3.03856i | −0.0507136 | − | 0.156081i | 0.922492 | − | 0.386015i | \(-0.126149\pi\) |
−0.973206 | + | 0.229935i | \(0.926149\pi\) | |||||||
\(380\) | 0.340306 | + | 1.04736i | 0.0174574 | + | 0.0537282i | ||||
\(381\) | 0.618660 | + | 0.449483i | 0.0316949 | + | 0.0230277i | ||||
\(382\) | 4.29311 | − | 3.11913i | 0.219655 | − | 0.159588i | ||||
\(383\) | −1.43932 | + | 4.42978i | −0.0735460 | + | 0.226351i | −0.981072 | − | 0.193645i | \(-0.937969\pi\) |
0.907526 | + | 0.419997i | \(0.137969\pi\) | |||||||
\(384\) | 0.0692689 | 0.00353486 | ||||||||
\(385\) | −6.11461 | + | 3.97060i | −0.311629 | + | 0.202361i | ||||
\(386\) | −0.295285 | −0.0150296 | ||||||||
\(387\) | −4.86154 | + | 14.9623i | −0.247126 | + | 0.760576i | ||||
\(388\) | −0.514868 | + | 0.374073i | −0.0261384 | + | 0.0189907i | ||||
\(389\) | −24.5101 | − | 17.8077i | −1.24271 | − | 0.902884i | −0.244938 | − | 0.969539i | \(-0.578768\pi\) |
−0.997776 | + | 0.0666543i | \(0.978768\pi\) | |||||||
\(390\) | −0.149734 | − | 0.460834i | −0.00758208 | − | 0.0233352i | ||||
\(391\) | −7.80150 | − | 24.0105i | −0.394539 | − | 1.21427i | ||||
\(392\) | −2.43963 | − | 1.77250i | −0.123220 | − | 0.0895245i | ||||
\(393\) | −0.880167 | + | 0.639479i | −0.0443986 | + | 0.0322574i | ||||
\(394\) | 7.60120 | − | 23.3941i | 0.382943 | − | 1.17858i | ||||
\(395\) | 13.0441 | 0.656321 | ||||||||
\(396\) | −9.92033 | − | 0.520208i | −0.498515 | − | 0.0261414i | ||||
\(397\) | 27.8353 | 1.39702 | 0.698508 | − | 0.715602i | \(-0.253848\pi\) | ||||
0.698508 | + | 0.715602i | \(0.253848\pi\) | |||||||
\(398\) | 6.81698 | − | 20.9805i | 0.341704 | − | 1.05166i | ||||
\(399\) | 0.111861 | − | 0.0812720i | 0.00560007 | − | 0.00406869i | ||||
\(400\) | 3.06394 | + | 2.22608i | 0.153197 | + | 0.111304i | ||||
\(401\) | 2.52508 | + | 7.77141i | 0.126097 | + | 0.388086i | 0.994099 | − | 0.108474i | \(-0.0345964\pi\) |
−0.868003 | + | 0.496560i | \(0.834596\pi\) | |||||||
\(402\) | 0.237622 | + | 0.731326i | 0.0118515 | + | 0.0364752i | ||||
\(403\) | −18.2312 | − | 13.2458i | −0.908161 | − | 0.659818i | ||||
\(404\) | 8.20972 | − | 5.96471i | 0.408449 | − | 0.296756i | ||||
\(405\) | 3.04807 | − | 9.38100i | 0.151460 | − | 0.466145i | ||||
\(406\) | −3.26985 | −0.162280 | ||||||||
\(407\) | 0.819498 | + | 3.05879i | 0.0406210 | + | 0.151618i | ||||
\(408\) | 0.349905 | 0.0173229 | ||||||||
\(409\) | 5.40164 | − | 16.6245i | 0.267094 | − | 0.822030i | −0.724110 | − | 0.689685i | \(-0.757749\pi\) |
0.991204 | − | 0.132345i | \(-0.0422508\pi\) | |||||||
\(410\) | 8.05846 | − | 5.85481i | 0.397979 | − | 0.289149i | ||||
\(411\) | 0.408598 | + | 0.296864i | 0.0201546 | + | 0.0146432i | ||||
\(412\) | −0.0922787 | − | 0.284005i | −0.00454625 | − | 0.0139919i | ||||
\(413\) | −1.79966 | − | 5.53879i | −0.0885556 | − | 0.272546i | ||||
\(414\) | 12.1106 | + | 8.79889i | 0.595205 | + | 0.432442i | ||||
\(415\) | −8.69848 | + | 6.31981i | −0.426992 | + | 0.310228i | ||||
\(416\) | 1.96288 | − | 6.04113i | 0.0962383 | − | 0.296191i | ||||
\(417\) | −0.256746 | −0.0125729 | ||||||||
\(418\) | −1.18867 | + | 3.09630i | −0.0581396 | + | 0.151445i | ||||
\(419\) | 14.7352 | 0.719862 | 0.359931 | − | 0.932979i | \(-0.382800\pi\) | ||||
0.359931 | + | 0.932979i | \(0.382800\pi\) | |||||||
\(420\) | −0.0470536 | + | 0.144816i | −0.00229598 | + | 0.00706630i | ||||
\(421\) | −24.4859 | + | 17.7901i | −1.19337 | + | 0.867035i | −0.993616 | − | 0.112811i | \(-0.964014\pi\) |
−0.199755 | + | 0.979846i | \(0.564014\pi\) | |||||||
\(422\) | −1.94937 | − | 1.41630i | −0.0948939 | − | 0.0689444i | ||||
\(423\) | −0.519727 | − | 1.59955i | −0.0252700 | − | 0.0777730i | ||||
\(424\) | −2.19428 | − | 6.75329i | −0.106563 | − | 0.327969i | ||||
\(425\) | 15.4772 | + | 11.2449i | 0.750755 | + | 0.545455i | ||||
\(426\) | −0.448681 | + | 0.325986i | −0.0217387 | + | 0.0157941i | ||||
\(427\) | 0.824497 | − | 2.53754i | 0.0399002 | − | 0.122800i | ||||
\(428\) | 12.5256 | 0.605447 | ||||||||
\(429\) | 0.523011 | − | 1.36236i | 0.0252512 | − | 0.0657756i | ||||
\(430\) | −5.78434 | −0.278945 | ||||||||
\(431\) | −10.2401 | + | 31.5158i | −0.493249 | + | 1.51806i | 0.326419 | + | 0.945225i | \(0.394158\pi\) |
−0.819668 | + | 0.572839i | \(0.805842\pi\) | |||||||
\(432\) | −0.335969 | + | 0.244096i | −0.0161643 | + | 0.0117441i | ||||
\(433\) | −1.00490 | − | 0.730106i | −0.0482926 | − | 0.0350866i | 0.563377 | − | 0.826200i | \(-0.309502\pi\) |
−0.611670 | + | 0.791113i | \(0.709502\pi\) | |||||||
\(434\) | 2.18833 | + | 6.73498i | 0.105043 | + | 0.323289i | ||||
\(435\) | −0.0386146 | − | 0.118844i | −0.00185143 | − | 0.00569811i | ||||
\(436\) | −15.7046 | − | 11.4101i | −0.752116 | − | 0.546444i | ||||
\(437\) | 4.04335 | − | 2.93766i | 0.193419 | − | 0.140527i | ||||
\(438\) | −0.0539602 | + | 0.166072i | −0.00257832 | + | 0.00793524i | ||||
\(439\) | −15.2998 | −0.730219 | −0.365109 | − | 0.930965i | \(-0.618968\pi\) | ||||
−0.365109 | + | 0.930965i | \(0.618968\pi\) | |||||||
\(440\) | −0.945215 | − | 3.52802i | −0.0450614 | − | 0.168192i | ||||
\(441\) | 9.03218 | 0.430104 | ||||||||
\(442\) | 9.91532 | − | 30.5162i | 0.471624 | − | 1.45151i | ||||
\(443\) | 22.4067 | − | 16.2794i | 1.06457 | − | 0.773458i | 0.0896446 | − | 0.995974i | \(-0.471427\pi\) |
0.974929 | + | 0.222516i | \(0.0714269\pi\) | |||||||
\(444\) | 0.0535058 | + | 0.0388743i | 0.00253928 | + | 0.00184489i | ||||
\(445\) | 3.04093 | + | 9.35902i | 0.144154 | + | 0.443660i | ||||
\(446\) | 1.14835 | + | 3.53424i | 0.0543757 | + | 0.167351i | ||||
\(447\) | 0.0885021 | + | 0.0643005i | 0.00418600 | + | 0.00304131i | ||||
\(448\) | −1.61489 | + | 1.17328i | −0.0762962 | + | 0.0554324i | ||||
\(449\) | −9.04290 | + | 27.8312i | −0.426761 | + | 1.31344i | 0.474537 | + | 0.880236i | \(0.342616\pi\) |
−0.901298 | + | 0.433200i | \(0.857384\pi\) | |||||||
\(450\) | −11.3435 | −0.534740 | ||||||||
\(451\) | 29.9576 | + | 1.57093i | 1.41065 | + | 0.0739723i | ||||
\(452\) | −12.3910 | −0.582825 | ||||||||
\(453\) | −0.449794 | + | 1.38432i | −0.0211332 | + | 0.0650412i | ||||
\(454\) | −9.84384 | + | 7.15197i | −0.461994 | + | 0.335659i | ||||
\(455\) | 11.2964 | + | 8.20735i | 0.529585 | + | 0.384766i | ||||
\(456\) | 0.0214053 | + | 0.0658786i | 0.00100239 | + | 0.00308505i | ||||
\(457\) | 5.83803 | + | 17.9676i | 0.273092 | + | 0.840489i | 0.989718 | + | 0.143032i | \(0.0456852\pi\) |
−0.716626 | + | 0.697457i | \(0.754315\pi\) | |||||||
\(458\) | −14.4378 | − | 10.4897i | −0.674632 | − | 0.490149i | ||||
\(459\) | −1.69712 | + | 1.23303i | −0.0792147 | + | 0.0575528i | ||||
\(460\) | −1.70080 | + | 5.23453i | −0.0793002 | + | 0.244061i | ||||
\(461\) | 37.0562 | 1.72588 | 0.862940 | − | 0.505306i | \(-0.168620\pi\) | ||||
0.862940 | + | 0.505306i | \(0.168620\pi\) | |||||||
\(462\) | −0.384608 | + | 0.249751i | −0.0178936 | + | 0.0116195i | ||||
\(463\) | 16.5823 | 0.770645 | 0.385322 | − | 0.922782i | \(-0.374090\pi\) | ||||
0.385322 | + | 0.922782i | \(0.374090\pi\) | |||||||
\(464\) | 0.506204 | − | 1.55794i | 0.0234999 | − | 0.0723254i | ||||
\(465\) | −0.218942 | + | 0.159071i | −0.0101532 | + | 0.00737673i | ||||
\(466\) | −16.1805 | − | 11.7558i | −0.749548 | − | 0.544578i | ||||
\(467\) | −0.841861 | − | 2.59098i | −0.0389567 | − | 0.119896i | 0.929687 | − | 0.368351i | \(-0.120077\pi\) |
−0.968644 | + | 0.248454i | \(0.920077\pi\) | |||||||
\(468\) | 5.87923 | + | 18.0944i | 0.271768 | + | 0.836415i | ||||
\(469\) | −17.9270 | − | 13.0247i | −0.827793 | − | 0.601427i | ||||
\(470\) | 0.500279 | − | 0.363474i | 0.0230761 | − | 0.0167658i | ||||
\(471\) | 0.195662 | − | 0.602187i | 0.00901565 | − | 0.0277473i | ||||
\(472\) | 2.91759 | 0.134293 | ||||||||
\(473\) | −13.5380 | − | 10.9635i | −0.622477 | − | 0.504104i | ||||
\(474\) | 0.820475 | 0.0376857 | ||||||||
\(475\) | −1.17032 | + | 3.60188i | −0.0536980 | + | 0.165265i | ||||
\(476\) | −8.15745 | + | 5.92673i | −0.373896 | + | 0.271651i | ||||
\(477\) | 17.2065 | + | 12.5013i | 0.787832 | + | 0.572393i | ||||
\(478\) | −4.84736 | − | 14.9186i | −0.221713 | − | 0.682363i | ||||
\(479\) | −6.14648 | − | 18.9169i | −0.280840 | − | 0.864336i | −0.987615 | − | 0.156897i | \(-0.949851\pi\) |
0.706775 | − | 0.707438i | \(-0.250149\pi\) | |||||||
\(480\) | −0.0617140 | − | 0.0448378i | −0.00281685 | − | 0.00204656i | ||||
\(481\) | 4.90654 | − | 3.56481i | 0.223719 | − | 0.162541i | ||||
\(482\) | −1.51343 | + | 4.65785i | −0.0689347 | + | 0.212159i | ||||
\(483\) | 0.691044 | 0.0314436 | ||||||||
\(484\) | 4.47472 | − | 10.0487i | 0.203396 | − | 0.456760i | ||||
\(485\) | 0.700851 | 0.0318240 | ||||||||
\(486\) | 0.576710 | − | 1.77493i | 0.0261601 | − | 0.0805125i | ||||
\(487\) | −4.14817 | + | 3.01382i | −0.187971 | + | 0.136569i | −0.677791 | − | 0.735255i | \(-0.737063\pi\) |
0.489820 | + | 0.871824i | \(0.337063\pi\) | |||||||
\(488\) | 1.08138 | + | 0.785672i | 0.0489520 | + | 0.0355657i | ||||
\(489\) | −0.308086 | − | 0.948191i | −0.0139321 | − | 0.0428787i | ||||
\(490\) | 1.02621 | + | 3.15835i | 0.0463595 | + | 0.142680i | ||||
\(491\) | 1.06951 | + | 0.777041i | 0.0482661 | + | 0.0350674i | 0.611657 | − | 0.791123i | \(-0.290503\pi\) |
−0.563391 | + | 0.826191i | \(0.690503\pi\) | |||||||
\(492\) | 0.506877 | − | 0.368267i | 0.0228518 | − | 0.0166028i | ||||
\(493\) | 2.55704 | − | 7.86977i | 0.115163 | − | 0.354437i | ||||
\(494\) | 6.35202 | 0.285791 | ||||||||
\(495\) | 8.50163 | + | 6.88491i | 0.382120 | + | 0.309454i | ||||
\(496\) | −3.54769 | −0.159296 | ||||||||
\(497\) | 4.93865 | − | 15.1996i | 0.221529 | − | 0.681796i | ||||
\(498\) | −0.547134 | + | 0.397516i | −0.0245177 | + | 0.0178131i | ||||
\(499\) | 17.7893 | + | 12.9247i | 0.796359 | + | 0.578589i | 0.909844 | − | 0.414951i | \(-0.136201\pi\) |
−0.113485 | + | 0.993540i | \(0.536201\pi\) | |||||||
\(500\) | −2.99035 | − | 9.20336i | −0.133733 | − | 0.411587i | ||||
\(501\) | −0.275620 | − | 0.848270i | −0.0123138 | − | 0.0378979i | ||||
\(502\) | −19.8698 | − | 14.4362i | −0.886832 | − | 0.644321i | ||||
\(503\) | −21.2620 | + | 15.4478i | −0.948027 | + | 0.688782i | −0.950340 | − | 0.311215i | \(-0.899264\pi\) |
0.00231203 | + | 0.999997i | \(0.499264\pi\) | |||||||
\(504\) | 1.84754 | − | 5.68613i | 0.0822958 | − | 0.253280i | ||||
\(505\) | −11.1753 | −0.497294 | ||||||||
\(506\) | −13.9021 | + | 9.02750i | −0.618023 | + | 0.401322i | ||||
\(507\) | −1.89438 | −0.0841323 | ||||||||
\(508\) | 3.41145 | − | 10.4994i | 0.151358 | − | 0.465833i | ||||
\(509\) | 27.2794 | − | 19.8196i | 1.20914 | − | 0.878489i | 0.213984 | − | 0.976837i | \(-0.431356\pi\) |
0.995152 | + | 0.0983480i | \(0.0313558\pi\) | |||||||
\(510\) | −0.311743 | − | 0.226494i | −0.0138042 | − | 0.0100293i | ||||
\(511\) | −1.55496 | − | 4.78567i | −0.0687874 | − | 0.211706i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −0.335969 | − | 0.244096i | −0.0148334 | − | 0.0107771i | ||||
\(514\) | 7.90965 | − | 5.74670i | 0.348880 | − | 0.253476i | ||||
\(515\) | −0.101622 | + | 0.312761i | −0.00447802 | + | 0.0137819i | ||||
\(516\) | −0.363835 | −0.0160169 | ||||||||
\(517\) | 1.85980 | + | 0.0975254i | 0.0817940 | + | 0.00428916i | ||||
\(518\) | −1.90585 | −0.0837384 | ||||||||
\(519\) | −0.283777 | + | 0.873375i | −0.0124564 | + | 0.0383369i | ||||
\(520\) | −5.65923 | + | 4.11167i | −0.248174 | + | 0.180309i | ||||
\(521\) | −30.9754 | − | 22.5049i | −1.35706 | − | 0.985960i | −0.998626 | − | 0.0524035i | \(-0.983312\pi\) |
−0.358431 | − | 0.933556i | \(-0.616688\pi\) | |||||||
\(522\) | 1.51618 | + | 4.66633i | 0.0663615 | + | 0.204240i | ||||
\(523\) | 0.322839 | + | 0.993596i | 0.0141168 | + | 0.0434469i | 0.957867 | − | 0.287213i | \(-0.0927287\pi\) |
−0.943750 | + | 0.330660i | \(0.892729\pi\) | |||||||
\(524\) | 12.7065 | + | 9.23183i | 0.555087 | + | 0.403295i | ||||
\(525\) | −0.423646 | + | 0.307797i | −0.0184894 | + | 0.0134333i | ||||
\(526\) | −0.0646022 | + | 0.198825i | −0.00281679 | + | 0.00866918i | ||||
\(527\) | −17.9208 | −0.780644 | ||||||||
\(528\) | −0.0594540 | − | 0.221913i | −0.00258740 | − | 0.00965750i | ||||
\(529\) | 1.97850 | 0.0860217 | ||||||||
\(530\) | −2.41646 | + | 7.43709i | −0.104964 | + | 0.323047i | ||||
\(531\) | −7.06981 | + | 5.13652i | −0.306804 | + | 0.222906i | ||||
\(532\) | −1.61489 | − | 1.17328i | −0.0700142 | − | 0.0508683i | ||||
\(533\) | −17.7542 | − | 54.6418i | −0.769019 | − | 2.36680i | ||||
\(534\) | 0.191274 | + | 0.588682i | 0.00827726 | + | 0.0254748i | ||||
\(535\) | −11.1595 | − | 8.10783i | −0.482466 | − | 0.350532i | ||||
\(536\) | 8.98098 | − | 6.52507i | 0.387919 | − | 0.281840i | ||||
\(537\) | 0.410500 | − | 1.26339i | 0.0177144 | − | 0.0545192i | ||||
\(538\) | −26.1828 | −1.12882 | ||||||||
\(539\) | −3.58448 | + | 9.33704i | −0.154395 | + | 0.402175i | ||||
\(540\) | 0.457330 | 0.0196804 | ||||||||
\(541\) | −6.56933 | + | 20.2183i | −0.282438 | + | 0.869253i | 0.704717 | + | 0.709488i | \(0.251074\pi\) |
−0.987155 | + | 0.159765i | \(0.948926\pi\) | |||||||
\(542\) | 5.61212 | − | 4.07745i | 0.241061 | − | 0.175141i | ||||
\(543\) | −0.262272 | − | 0.190552i | −0.0112552 | − | 0.00817735i | ||||
\(544\) | −1.56097 | − | 4.80417i | −0.0669261 | − | 0.205977i | ||||
\(545\) | 6.60603 | + | 20.3313i | 0.282971 | + | 0.870896i | ||||
\(546\) | 0.710546 | + | 0.516242i | 0.0304086 | + | 0.0220931i | ||||
\(547\) | −4.77180 | + | 3.46691i | −0.204027 | + | 0.148234i | −0.685107 | − | 0.728442i | \(-0.740245\pi\) |
0.481080 | + | 0.876677i | \(0.340245\pi\) | |||||||
\(548\) | 2.25311 | − | 6.93436i | 0.0962481 | − | 0.296221i | ||||
\(549\) | −4.00358 | −0.170869 | ||||||||
\(550\) | 4.50177 | − | 11.7264i | 0.191956 | − | 0.500016i | ||||
\(551\) | 1.63811 | 0.0697859 | ||||||||
\(552\) | −0.106980 | + | 0.329251i | −0.00455338 | + | 0.0140139i | ||||
\(553\) | −19.1280 | + | 13.8973i | −0.813404 | + | 0.590973i | ||||
\(554\) | 18.0917 | + | 13.1444i | 0.768643 | + | 0.558452i | ||||
\(555\) | −0.0225068 | − | 0.0692688i | −0.000955361 | − | 0.00294030i | ||||
\(556\) | 1.14538 | + | 3.52510i | 0.0485748 | + | 0.149498i | ||||
\(557\) | −10.3399 | − | 7.51236i | −0.438114 | − | 0.318309i | 0.346771 | − | 0.937950i | \(-0.387278\pi\) |
−0.784885 | + | 0.619641i | \(0.787278\pi\) | |||||||
\(558\) | 8.59666 | − | 6.24584i | 0.363925 | − | 0.264407i | ||||
\(559\) | −10.3100 | + | 31.7310i | −0.436068 | + | 1.34208i | ||||
\(560\) | 2.19822 | 0.0928919 | ||||||||
\(561\) | −0.300326 | − | 1.12097i | −0.0126798 | − | 0.0473274i | ||||
\(562\) | 25.5076 | 1.07597 | ||||||||
\(563\) | 3.48196 | − | 10.7164i | 0.146747 | − | 0.451641i | −0.850484 | − | 0.526000i | \(-0.823691\pi\) |
0.997232 | + | 0.0743589i | \(0.0236910\pi\) | |||||||
\(564\) | 0.0314675 | − | 0.0228625i | 0.00132502 | − | 0.000962685i | ||||
\(565\) | 11.0396 | + | 8.02073i | 0.464439 | + | 0.337435i | ||||
\(566\) | 8.64100 | + | 26.5943i | 0.363208 | + | 1.11784i | ||||
\(567\) | 5.52486 | + | 17.0038i | 0.232022 | + | 0.714091i | ||||
\(568\) | 6.47738 | + | 4.70609i | 0.271785 | + | 0.197463i | ||||
\(569\) | 1.43659 | − | 1.04374i | 0.0602249 | − | 0.0437560i | −0.557265 | − | 0.830334i | \(-0.688149\pi\) |
0.617490 | + | 0.786578i | \(0.288149\pi\) | |||||||
\(570\) | 0.0235726 | − | 0.0725492i | 0.000987350 | − | 0.00303875i | ||||
\(571\) | −46.3181 | −1.93835 | −0.969176 | − | 0.246371i | \(-0.920762\pi\) | ||||
−0.969176 | + | 0.246371i | \(0.920762\pi\) | |||||||
\(572\) | −21.0384 | − | 1.10322i | −0.879659 | − | 0.0461281i | ||||
\(573\) | −0.367580 | −0.0153559 | ||||||||
\(574\) | −5.57921 | + | 17.1711i | −0.232872 | + | 0.716706i | ||||
\(575\) | −15.3131 | + | 11.1256i | −0.638601 | + | 0.463971i | ||||
\(576\) | 2.42317 | + | 1.76054i | 0.100965 | + | 0.0733556i | ||||
\(577\) | 14.2325 | + | 43.8030i | 0.592505 | + | 1.82354i | 0.566771 | + | 0.823875i | \(0.308192\pi\) |
0.0257345 | + | 0.999669i | \(0.491808\pi\) | |||||||
\(578\) | −2.63181 | − | 8.09988i | −0.109469 | − | 0.336911i | ||||
\(579\) | 0.0165477 | + | 0.0120226i | 0.000687699 | + | 0.000499642i | ||||
\(580\) | −1.45945 | + | 1.06035i | −0.0606003 | + | 0.0440287i | ||||
\(581\) | 6.02233 | − | 18.5348i | 0.249848 | − | 0.768954i | ||||
\(582\) | 0.0440835 | 0.00182732 | ||||||||
\(583\) | −19.7517 | + | 12.8261i | −0.818033 | + | 0.531201i | ||||
\(584\) | 2.52088 | 0.104315 | ||||||||
\(585\) | 6.47453 | − | 19.9266i | 0.267689 | − | 0.823862i | ||||
\(586\) | −7.86544 | + | 5.71458i | −0.324918 | + | 0.236067i | ||||
\(587\) | 19.2199 | + | 13.9641i | 0.793291 | + | 0.576360i | 0.908938 | − | 0.416931i | \(-0.136894\pi\) |
−0.115647 | + | 0.993290i | \(0.536894\pi\) | |||||||
\(588\) | 0.0645486 | + | 0.198660i | 0.00266194 | + | 0.00819261i | ||||
\(589\) | −1.09630 | − | 3.37406i | −0.0451721 | − | 0.139026i | ||||
\(590\) | −2.59938 | − | 1.88856i | −0.107015 | − | 0.0777508i | ||||
\(591\) | −1.37846 | + | 1.00151i | −0.0567024 | + | 0.0411967i | ||||
\(592\) | 0.295045 | − | 0.908054i | 0.0121263 | − | 0.0373208i | ||||
\(593\) | −5.15565 | −0.211717 | −0.105859 | − | 0.994381i | \(-0.533759\pi\) | ||||
−0.105859 | + | 0.994381i | \(0.533759\pi\) | |||||||
\(594\) | 1.07036 | + | 0.866815i | 0.0439174 | + | 0.0355659i | ||||
\(595\) | 11.1041 | 0.455225 | ||||||||
\(596\) | 0.488023 | − | 1.50198i | 0.0199902 | − | 0.0615235i | ||||
\(597\) | −1.23625 | + | 0.898186i | −0.0505962 | + | 0.0367603i | ||||
\(598\) | 25.6834 | + | 18.6601i | 1.05027 | + | 0.763068i | ||||
\(599\) | −9.72625 | − | 29.9343i | −0.397404 | − | 1.22308i | −0.927074 | − | 0.374879i | \(-0.877684\pi\) |
0.529670 | − | 0.848204i | \(-0.322316\pi\) | |||||||
\(600\) | −0.0810668 | − | 0.249498i | −0.00330954 | − | 0.0101857i | ||||
\(601\) | −7.94983 | − | 5.77589i | −0.324280 | − | 0.235603i | 0.413719 | − | 0.910404i | \(-0.364229\pi\) |
−0.738000 | + | 0.674801i | \(0.764229\pi\) | |||||||
\(602\) | 8.48218 | − | 6.16267i | 0.345708 | − | 0.251172i | ||||
\(603\) | −10.2748 | + | 31.6227i | −0.418423 | + | 1.28778i | ||||
\(604\) | 21.0132 | 0.855017 | ||||||||
\(605\) | −10.4912 | + | 6.05626i | −0.426529 | + | 0.246222i | ||||
\(606\) | −0.702925 | −0.0285544 | ||||||||
\(607\) | 0.206900 | − | 0.636773i | 0.00839782 | − | 0.0258458i | −0.946770 | − | 0.321911i | \(-0.895675\pi\) |
0.955168 | + | 0.296066i | \(0.0956747\pi\) | |||||||
\(608\) | 0.809017 | − | 0.587785i | 0.0328100 | − | 0.0238378i | ||||
\(609\) | 0.183241 | + | 0.133133i | 0.00742531 | + | 0.00539480i | ||||
\(610\) | −0.454876 | − | 1.39996i | −0.0184174 | − | 0.0566829i | ||||
\(611\) | −1.10220 | − | 3.39223i | −0.0445903 | − | 0.137235i | ||||
\(612\) | 12.2404 | + | 8.89318i | 0.494789 | + | 0.359486i | ||||
\(613\) | 5.97114 | − | 4.33829i | 0.241172 | − | 0.175222i | −0.460633 | − | 0.887591i | \(-0.652378\pi\) |
0.701805 | + | 0.712369i | \(0.252378\pi\) | |||||||
\(614\) | −10.5893 | + | 32.5904i | −0.427348 | + | 1.31524i | ||||
\(615\) | −0.689974 | −0.0278224 | ||||||||
\(616\) | 5.14485 | + | 4.16648i | 0.207292 | + | 0.167872i | ||||
\(617\) | 7.03453 | 0.283200 | 0.141600 | − | 0.989924i | \(-0.454775\pi\) | ||||
0.141600 | + | 0.989924i | \(0.454775\pi\) | |||||||
\(618\) | −0.00639204 | + | 0.0196727i | −0.000257126 | + | 0.000791352i | ||||
\(619\) | −12.1144 | + | 8.80164i | −0.486920 | + | 0.353768i | −0.803998 | − | 0.594631i | \(-0.797298\pi\) |
0.317079 | + | 0.948399i | \(0.397298\pi\) | |||||||
\(620\) | 3.16076 | + | 2.29643i | 0.126939 | + | 0.0922267i | ||||
\(621\) | −0.641368 | − | 1.97393i | −0.0257372 | − | 0.0792110i | ||||
\(622\) | −6.70318 | − | 20.6303i | −0.268773 | − | 0.827198i | ||||
\(623\) | −14.4304 | − | 10.4843i | −0.578142 | − | 0.420045i | ||||
\(624\) | −0.355966 | + | 0.258624i | −0.0142500 | + | 0.0103532i | ||||
\(625\) | 2.55846 | − | 7.87414i | 0.102339 | − | 0.314966i | ||||
\(626\) | −14.1586 | −0.565890 | ||||||||
\(627\) | 0.192679 | − | 0.125119i | 0.00769486 | − | 0.00499677i | ||||
\(628\) | −9.14086 | −0.364760 | ||||||||
\(629\) | 1.49039 | − | 4.58695i | 0.0594258 | − | 0.182894i | ||||
\(630\) | −5.32667 | + | 3.87005i | −0.212220 | + | 0.154187i | ||||
\(631\) | 32.9868 | + | 23.9663i | 1.31318 | + | 0.954084i | 0.999990 | + | 0.00439533i | \(0.00139908\pi\) |
0.313194 | + | 0.949689i | \(0.398601\pi\) | |||||||
\(632\) | −3.66024 | − | 11.2651i | −0.145597 | − | 0.448100i | ||||
\(633\) | 0.0515771 | + | 0.158738i | 0.00205001 | + | 0.00630927i | ||||
\(634\) | 12.8396 | + | 9.32849i | 0.509924 | + | 0.370482i | ||||
\(635\) | −9.83562 | + | 7.14599i | −0.390315 | + | 0.283580i | ||||
\(636\) | −0.151995 | + | 0.467793i | −0.00602700 | + | 0.0185492i | ||||
\(637\) | 19.1548 | 0.758942 | ||||||||
\(638\) | −5.42554 | − | 0.284508i | −0.214799 | − | 0.0112638i | ||||
\(639\) | −23.9810 | −0.948675 | ||||||||
\(640\) | −0.340306 | + | 1.04736i | −0.0134518 | + | 0.0414004i | ||||
\(641\) | −6.46126 | + | 4.69438i | −0.255205 | + | 0.185417i | −0.708030 | − | 0.706182i | \(-0.750416\pi\) |
0.452826 | + | 0.891599i | \(0.350416\pi\) | |||||||
\(642\) | −0.701930 | − | 0.509982i | −0.0277030 | − | 0.0201274i | ||||
\(643\) | −11.5188 | − | 35.4513i | −0.454258 | − | 1.39806i | −0.872004 | − | 0.489498i | \(-0.837180\pi\) |
0.417747 | − | 0.908564i | \(-0.362820\pi\) | |||||||
\(644\) | −3.08283 | − | 9.48798i | −0.121481 | − | 0.373879i | ||||
\(645\) | 0.324153 | + | 0.235511i | 0.0127635 | + | 0.00927322i | ||||
\(646\) | 4.08667 | − | 2.96914i | 0.160788 | − | 0.116819i | ||||
\(647\) | −9.82223 | + | 30.2297i | −0.386152 | + | 1.18845i | 0.549489 | + | 0.835501i | \(0.314822\pi\) |
−0.935641 | + | 0.352953i | \(0.885178\pi\) | |||||||
\(648\) | −8.95684 | −0.351858 | ||||||||
\(649\) | −2.50419 | − | 9.34691i | −0.0982980 | − | 0.366898i | ||||
\(650\) | −24.0566 | −0.943578 | ||||||||
\(651\) | 0.151583 | − | 0.466525i | 0.00594101 | − | 0.0182845i | ||||
\(652\) | −11.6442 | + | 8.45999i | −0.456021 | + | 0.331319i | ||||
\(653\) | −7.36651 | − | 5.35208i | −0.288274 | − | 0.209443i | 0.434244 | − | 0.900795i | \(-0.357015\pi\) |
−0.722518 | + | 0.691352i | \(0.757015\pi\) | |||||||
\(654\) | 0.415519 | + | 1.27884i | 0.0162481 | + | 0.0500065i | ||||
\(655\) | −5.34490 | − | 16.4499i | −0.208842 | − | 0.642751i | ||||
\(656\) | −7.31752 | − | 5.31649i | −0.285701 | − | 0.207574i | ||||
\(657\) | −6.10853 | + | 4.43810i | −0.238316 | + | 0.173147i | ||||
\(658\) | −0.346364 | + | 1.06600i | −0.0135027 | + | 0.0415570i | ||||
\(659\) | 28.0285 | 1.09184 | 0.545918 | − | 0.837839i | \(-0.316181\pi\) | ||||
0.545918 | + | 0.837839i | \(0.316181\pi\) | |||||||
\(660\) | −0.0906747 | + | 0.236194i | −0.00352951 | + | 0.00919384i | ||||
\(661\) | 7.83541 | 0.304762 | 0.152381 | − | 0.988322i | \(-0.451306\pi\) | ||||
0.152381 | + | 0.988322i | \(0.451306\pi\) | |||||||
\(662\) | −6.02298 | + | 18.5368i | −0.234090 | + | 0.720454i | ||||
\(663\) | −1.79813 | + | 1.30642i | −0.0698335 | + | 0.0507370i | ||||
\(664\) | 7.89870 | + | 5.73874i | 0.306529 | + | 0.222706i | ||||
\(665\) | 0.679289 | + | 2.09064i | 0.0263417 | + | 0.0810714i | ||||
\(666\) | 0.883718 | + | 2.71981i | 0.0342434 | + | 0.105390i | ||||
\(667\) | 6.62345 | + | 4.81222i | 0.256461 | + | 0.186330i | ||||
\(668\) | −10.4171 | + | 7.56847i | −0.403050 | + | 0.292833i | ||||
\(669\) | 0.0795446 | − | 0.244813i | 0.00307537 | − | 0.00946502i | ||||
\(670\) | −12.2251 | −0.472299 | ||||||||
\(671\) | 1.58885 | − | 4.13872i | 0.0613369 | − | 0.159773i | ||||
\(672\) | 0.138268 | 0.00533381 | ||||||||
\(673\) | −6.88209 | + | 21.1809i | −0.265285 | + | 0.816464i | 0.726342 | + | 0.687333i | \(0.241219\pi\) |
−0.991628 | + | 0.129131i | \(0.958781\pi\) | |||||||
\(674\) | −23.1845 | + | 16.8445i | −0.893033 | + | 0.648827i | ||||
\(675\) | 1.27240 | + | 0.924450i | 0.0489745 | + | 0.0355821i | ||||
\(676\) | 8.45106 | + | 26.0097i | 0.325041 | + | 1.00037i | ||||
\(677\) | −10.3461 | − | 31.8420i | −0.397633 | − | 1.22379i | −0.926892 | − | 0.375329i | \(-0.877530\pi\) |
0.529259 | − | 0.848461i | \(-0.322470\pi\) | |||||||
\(678\) | 0.694390 | + | 0.504504i | 0.0266679 | + | 0.0193753i | ||||
\(679\) | −1.02773 | + | 0.746691i | −0.0394407 | + | 0.0286554i | ||||
\(680\) | −1.71903 | + | 5.29062i | −0.0659217 | + | 0.202886i | ||||
\(681\) | 0.842840 | 0.0322977 | ||||||||
\(682\) | 3.04501 | + | 11.3655i | 0.116599 | + | 0.435208i | ||||
\(683\) | 27.8130 | 1.06424 | 0.532118 | − | 0.846670i | \(-0.321396\pi\) | ||||
0.532118 | + | 0.846670i | \(0.321396\pi\) | |||||||
\(684\) | −0.925568 | + | 2.84861i | −0.0353900 | + | 0.108919i | ||||
\(685\) | −6.49599 | + | 4.71961i | −0.248199 | + | 0.180327i | ||||
\(686\) | −16.1740 | − | 11.7511i | −0.617525 | − | 0.448658i | ||||
\(687\) | 0.382000 | + | 1.17567i | 0.0145742 | + | 0.0448548i | ||||
\(688\) | 1.62311 | + | 4.99542i | 0.0618805 | + | 0.190449i | ||||
\(689\) | 36.4904 | + | 26.5118i | 1.39017 | + | 1.01002i | ||||
\(690\) | 0.308437 | − | 0.224093i | 0.0117420 | − | 0.00853107i | ||||
\(691\) | −3.15022 | + | 9.69537i | −0.119840 | + | 0.368829i | −0.992926 | − | 0.118737i | \(-0.962115\pi\) |
0.873086 | + | 0.487567i | \(0.162115\pi\) | |||||||
\(692\) | 13.2573 | 0.503968 | ||||||||
\(693\) | −19.8021 | − | 1.03839i | −0.752218 | − | 0.0394453i | ||||
\(694\) | −9.52606 | −0.361604 | ||||||||
\(695\) | 1.26135 | − | 3.88204i | 0.0478458 | − | 0.147254i | ||||
\(696\) | −0.0917992 | + | 0.0666961i | −0.00347964 | + | 0.00252811i | ||||
\(697\) | −36.9638 | − | 26.8558i | −1.40010 | − | 1.01723i | ||||
\(698\) | −7.28883 | − | 22.4327i | −0.275886 | − | 0.849090i | ||||
\(699\) | 0.428110 | + | 1.31759i | 0.0161926 | + | 0.0498357i | ||||
\(700\) | 6.11596 | + | 4.44350i | 0.231161 | + | 0.167949i | ||||
\(701\) | 6.34053 | − | 4.60666i | 0.239478 | − | 0.173991i | −0.461572 | − | 0.887103i | \(-0.652715\pi\) |
0.701051 | + | 0.713111i | \(0.252715\pi\) | |||||||
\(702\) | 0.815148 | − | 2.50877i | 0.0307658 | − | 0.0946873i | ||||
\(703\) | 0.954785 | 0.0360104 | ||||||||
\(704\) | −2.78161 | + | 1.80628i | −0.104836 | + | 0.0680767i | ||||
\(705\) | −0.0428344 | −0.00161324 | ||||||||
\(706\) | 2.25135 | − | 6.92893i | 0.0847305 | − | 0.260774i | ||||
\(707\) | 16.3875 | − | 11.9062i | 0.616315 | − | 0.447779i | ||||
\(708\) | −0.163501 | − | 0.118790i | −0.00614474 | − | 0.00446441i | ||||
\(709\) | 10.7426 | + | 33.0624i | 0.403448 | + | 1.24169i | 0.922184 | + | 0.386752i | \(0.126403\pi\) |
−0.518736 | + | 0.854935i | \(0.673597\pi\) | |||||||
\(710\) | −2.72466 | − | 8.38564i | −0.102255 | − | 0.314707i | ||||
\(711\) | 28.7019 | + | 20.8532i | 1.07641 | + | 0.782055i | ||||
\(712\) | 7.22926 | − | 5.25237i | 0.270928 | − | 0.196841i | ||||
\(713\) | 5.47913 | − | 16.8630i | 0.205195 | − | 0.631525i | ||||
\(714\) | 0.698449 | 0.0261388 | ||||||||
\(715\) | 18.0297 | + | 14.6011i | 0.674272 | + | 0.546049i | ||||
\(716\) | −19.1775 | −0.716697 | ||||||||
\(717\) | −0.335771 | + | 1.03340i | −0.0125396 | + | 0.0385929i | ||||
\(718\) | −1.03661 | + | 0.753141i | −0.0386859 | + | 0.0281070i | ||||
\(719\) | −16.4459 | − | 11.9486i | −0.613328 | − | 0.445609i | 0.237257 | − | 0.971447i | \(-0.423752\pi\) |
−0.850585 | + | 0.525838i | \(0.823752\pi\) | |||||||
\(720\) | −1.01929 | − | 3.13704i | −0.0379866 | − | 0.116911i | ||||
\(721\) | −0.184198 | − | 0.566904i | −0.00685991 | − | 0.0211126i | ||||
\(722\) | 0.809017 | + | 0.587785i | 0.0301085 | + | 0.0218751i | ||||
\(723\) | 0.274457 | − | 0.199405i | 0.0102072 | − | 0.00741595i | ||||
\(724\) | −1.44623 | + | 4.45105i | −0.0537488 | + | 0.165422i | ||||
\(725\) | −6.20392 | −0.230408 | ||||||||
\(726\) | −0.659898 | + | 0.380938i | −0.0244911 | + | 0.0141379i | ||||
\(727\) | −27.7517 | −1.02925 | −0.514627 | − | 0.857414i | \(-0.672069\pi\) | ||||
−0.514627 | + | 0.857414i | \(0.672069\pi\) | |||||||
\(728\) | 3.91813 | − | 12.0588i | 0.145216 | − | 0.446927i | ||||
\(729\) | 21.6341 | − | 15.7181i | 0.801264 | − | 0.582152i | ||||
\(730\) | −2.24594 | − | 1.63177i | −0.0831260 | − | 0.0603945i | ||||
\(731\) | 8.19899 | + | 25.2339i | 0.303251 | + | 0.933310i | ||||
\(732\) | −0.0286117 | − | 0.0880577i | −0.00105752 | − | 0.00325470i | ||||
\(733\) | −2.47070 | − | 1.79507i | −0.0912574 | − | 0.0663024i | 0.541221 | − | 0.840880i | \(-0.317962\pi\) |
−0.632478 | + | 0.774578i | \(0.717962\pi\) | |||||||
\(734\) | 16.9725 | − | 12.3312i | 0.626466 | − | 0.455154i | ||||
\(735\) | 0.0710845 | − | 0.218776i | 0.00262199 | − | 0.00806966i | ||||
\(736\) | 4.99785 | 0.184223 | ||||||||
\(737\) | −28.6124 | − | 23.1713i | −1.05395 | − | 0.853527i | ||||
\(738\) | 27.0915 | 0.997251 | ||||||||
\(739\) | 9.03723 | − | 27.8137i | 0.332440 | − | 1.02314i | −0.635529 | − | 0.772077i | \(-0.719218\pi\) |
0.967969 | − | 0.251068i | \(-0.0807819\pi\) | |||||||
\(740\) | −0.850650 | + | 0.618033i | −0.0312705 | + | 0.0227194i | ||||
\(741\) | −0.355966 | − | 0.258624i | −0.0130767 | − | 0.00950079i | ||||
\(742\) | −4.38001 | − | 13.4803i | −0.160795 | − | 0.494877i | ||||
\(743\) | −7.87460 | − | 24.2355i | −0.288891 | − | 0.889115i | −0.985205 | − | 0.171378i | \(-0.945178\pi\) |
0.696314 | − | 0.717737i | \(-0.254822\pi\) | |||||||
\(744\) | 0.198812 | + | 0.144445i | 0.00728879 | + | 0.00529561i | ||||
\(745\) | −1.40703 | + | 1.02227i | −0.0515495 | + | 0.0374529i | ||||
\(746\) | −8.69711 | + | 26.7669i | −0.318424 | + | 0.980008i | ||||
\(747\) | −29.2431 | −1.06995 | ||||||||
\(748\) | −14.0511 | + | 9.12425i | −0.513757 | + | 0.333615i | ||||
\(749\) | 25.0024 | 0.913569 | ||||||||
\(750\) | −0.207138 | + | 0.637507i | −0.00756363 | + | 0.0232785i | ||||
\(751\) | −34.6567 | + | 25.1796i | −1.26464 | + | 0.918816i | −0.998976 | − | 0.0452494i | \(-0.985592\pi\) |
−0.265666 | + | 0.964065i | \(0.585592\pi\) | |||||||
\(752\) | −0.454281 | − | 0.330054i | −0.0165659 | − | 0.0120358i | ||||
\(753\) | 0.525722 | + | 1.61801i | 0.0191584 | + | 0.0589634i | ||||
\(754\) | 3.21542 | + | 9.89605i | 0.117099 | + | 0.360393i | ||||
\(755\) | −18.7214 | − | 13.6019i | −0.681342 | − | 0.495024i | ||||
\(756\) | −0.670631 | + | 0.487242i | −0.0243906 | + | 0.0177208i | ||||
\(757\) | 9.74413 | − | 29.9893i | 0.354156 | − | 1.08998i | −0.602341 | − | 0.798239i | \(-0.705765\pi\) |
0.956497 | − | 0.291742i | \(-0.0942349\pi\) | |||||||
\(758\) | 3.19494 | 0.116045 | ||||||||
\(759\) | 1.14663 | + | 0.0601274i | 0.0416199 | + | 0.00218249i | ||||
\(760\) | −1.10125 | −0.0399467 | ||||||||
\(761\) | 11.1296 | − | 34.2534i | 0.403448 | − | 1.24169i | −0.518736 | − | 0.854935i | \(-0.673597\pi\) |
0.922184 | − | 0.386752i | \(-0.126403\pi\) | |||||||
\(762\) | −0.618660 | + | 0.449483i | −0.0224117 | + | 0.0162830i | ||||
\(763\) | −31.3482 | − | 22.7758i | −1.13488 | − | 0.824539i | ||||
\(764\) | 1.63982 | + | 5.04685i | 0.0593267 | + | 0.182589i | ||||
\(765\) | −5.14883 | − | 15.8465i | −0.186156 | − | 0.572930i | ||||
\(766\) | −3.76820 | − | 2.73776i | −0.136151 | − | 0.0989192i | ||||
\(767\) | −14.9932 | + | 10.8932i | −0.541373 | + | 0.393330i | ||||
\(768\) | −0.0214053 | + | 0.0658786i | −0.000772396 | + | 0.00237719i | ||||
\(769\) | 45.0769 | 1.62552 | 0.812758 | − | 0.582601i | \(-0.197965\pi\) | ||||
0.812758 | + | 0.582601i | \(0.197965\pi\) | |||||||
\(770\) | −1.88675 | − | 7.04232i | −0.0679938 | − | 0.253788i | ||||
\(771\) | −0.677233 | −0.0243899 | ||||||||
\(772\) | 0.0912482 | − | 0.280833i | 0.00328409 | − | 0.0101074i | ||||
\(773\) | −19.9553 | + | 14.4984i | −0.717742 | + | 0.521470i | −0.885662 | − | 0.464330i | \(-0.846295\pi\) |
0.167920 | + | 0.985801i | \(0.446295\pi\) | |||||||
\(774\) | −12.7277 | − | 9.24721i | −0.457487 | − | 0.332384i | ||||
\(775\) | 4.15194 | + | 12.7783i | 0.149142 | + | 0.459012i | ||||
\(776\) | −0.196662 | − | 0.605263i | −0.00705975 | − | 0.0217277i | ||||
\(777\) | 0.106803 | + | 0.0775973i | 0.00383155 | + | 0.00278379i | ||||
\(778\) | 24.5101 | − | 17.8077i | 0.878731 | − | 0.638436i | ||||
\(779\) | 2.79505 | − | 8.60227i | 0.100143 | − | 0.308208i | ||||
\(780\) | 0.484549 | 0.0173497 | ||||||||
\(781\) | 9.51705 | − | 24.7905i | 0.340547 | − | 0.887073i | ||||
\(782\) | 25.2462 | 0.902801 | ||||||||
\(783\) | 0.210217 | − | 0.646981i | 0.00751254 | − | 0.0231212i | ||||
\(784\) | 2.43963 | − | 1.77250i | 0.0871297 | − | 0.0633034i | ||||
\(785\) | 8.14390 | + | 5.91689i | 0.290668 | + | 0.211183i | ||||
\(786\) | −0.336194 | − | 1.03470i | −0.0119916 | − | 0.0369065i | ||||
\(787\) | −5.37646 | − | 16.5470i | −0.191650 | − | 0.589838i | −0.999999 | − | 0.00113487i | \(-0.999639\pi\) |
0.808349 | − | 0.588703i | \(-0.200361\pi\) | |||||||
\(788\) | 19.9002 | + | 14.4583i | 0.708915 | + | 0.515057i | ||||
\(789\) | 0.0117155 | − | 0.00851180i | 0.000417083 | − | 0.000303028i | ||||
\(790\) | −4.03086 | + | 12.4057i | −0.143411 | + | 0.441375i | ||||
\(791\) | −24.7338 | −0.879434 | ||||||||
\(792\) | 3.56030 | − | 9.27404i | 0.126510 | − | 0.329539i | ||||
\(793\) | −8.49053 | −0.301507 | ||||||||
\(794\) | −8.60159 | + | 26.4730i | −0.305259 | + | 0.939491i | ||||
\(795\) | 0.438220 | − | 0.318386i | 0.0155421 | − | 0.0112920i | ||||
\(796\) | 17.8471 | + | 12.9667i | 0.632573 | + | 0.459591i | ||||
\(797\) | 0.624283 | + | 1.92135i | 0.0221133 | + | 0.0680576i | 0.961504 | − | 0.274790i | \(-0.0886084\pi\) |
−0.939391 | + | 0.342848i | \(0.888608\pi\) | |||||||
\(798\) | 0.0427272 | + | 0.131501i | 0.00151253 | + | 0.00465508i | ||||
\(799\) | −2.29476 | − | 1.66724i | −0.0811827 | − | 0.0589827i | ||||
\(800\) | −3.06394 | + | 2.22608i | −0.108327 | + | 0.0787039i | ||||
\(801\) | −8.27075 | + | 25.4548i | −0.292233 | + | 0.899399i | ||||
\(802\) | −8.17135 | −0.288540 | ||||||||
\(803\) | −2.16369 | − | 8.07600i | −0.0763550 | − | 0.284996i | ||||
\(804\) | −0.768961 | −0.0271192 | ||||||||
\(805\) | −3.39498 | + | 10.4487i | −0.119657 | + | 0.368268i | ||||
\(806\) | 18.2312 | − | 13.2458i | 0.642167 | − | 0.466562i | ||||
\(807\) | 1.46728 | + | 1.06604i | 0.0516506 | + | 0.0375263i | ||||
\(808\) | 3.13583 | + | 9.65111i | 0.110318 | + | 0.339525i | ||||
\(809\) | −14.9296 | − | 45.9485i | −0.524896 | − | 1.61546i | −0.764522 | − | 0.644598i | \(-0.777025\pi\) |
0.239626 | − | 0.970865i | \(-0.422975\pi\) | |||||||
\(810\) | 7.97995 | + | 5.79777i | 0.280387 | + | 0.203713i | ||||
\(811\) | 24.7122 | − | 17.9545i | 0.867764 | − | 0.630468i | −0.0622217 | − | 0.998062i | \(-0.519819\pi\) |
0.929986 | + | 0.367595i | \(0.119819\pi\) | |||||||
\(812\) | 1.01044 | − | 3.10981i | 0.0354594 | − | 0.109133i | ||||
\(813\) | −0.480516 | −0.0168524 | ||||||||
\(814\) | −3.16232 | − | 0.165828i | −0.110839 | − | 0.00581225i | ||||
\(815\) | 15.8504 | 0.555214 | ||||||||
\(816\) | −0.108127 | + | 0.332780i | −0.00378519 | + | 0.0116496i | ||||
\(817\) | −4.24936 | + | 3.08734i | −0.148666 | + | 0.108012i | ||||
\(818\) | 14.1417 | + | 10.2745i | 0.494452 | + | 0.359240i | ||||
\(819\) | 11.7356 | + | 36.1184i | 0.410075 | + | 1.26208i | ||||
\(820\) | 3.07806 | + | 9.47329i | 0.107490 | + | 0.330821i | ||||
\(821\) | −6.79637 | − | 4.93786i | −0.237195 | − | 0.172332i | 0.462838 | − | 0.886443i | \(-0.346831\pi\) |
−0.700033 | + | 0.714111i | \(0.746831\pi\) | |||||||
\(822\) | −0.408598 | + | 0.296864i | −0.0142515 | + | 0.0103543i | ||||
\(823\) | 8.22577 | − | 25.3163i | 0.286732 | − | 0.882472i | −0.699142 | − | 0.714983i | \(-0.746434\pi\) |
0.985874 | − | 0.167488i | \(-0.0535657\pi\) | |||||||
\(824\) | 0.298620 | 0.0104029 | ||||||||
\(825\) | −0.729722 | + | 0.473855i | −0.0254056 | + | 0.0164975i | ||||
\(826\) | 5.82383 | 0.202637 | ||||||||
\(827\) | 10.0467 | − | 30.9205i | 0.349357 | − | 1.07521i | −0.609852 | − | 0.792515i | \(-0.708771\pi\) |
0.959209 | − | 0.282696i | \(-0.0912289\pi\) | |||||||
\(828\) | −12.1106 | + | 8.79889i | −0.420874 | + | 0.305783i | ||||
\(829\) | 1.84075 | + | 1.33738i | 0.0639318 | + | 0.0464492i | 0.619292 | − | 0.785161i | \(-0.287420\pi\) |
−0.555360 | + | 0.831610i | \(0.687420\pi\) | |||||||
\(830\) | −3.32252 | − | 10.2257i | −0.115326 | − | 0.354938i | ||||
\(831\) | −0.478677 | − | 1.47322i | −0.0166051 | − | 0.0511053i | ||||
\(832\) | 5.13889 | + | 3.73363i | 0.178159 | + | 0.129440i | ||||
\(833\) | 12.3236 | − | 8.95360i | 0.426986 | − | 0.310224i | ||||
\(834\) | 0.0793389 | − | 0.244180i | 0.00274728 | − | 0.00845527i | ||||
\(835\) | 14.1800 | 0.490720 | ||||||||
\(836\) | −2.57744 | − | 2.08730i | −0.0891425 | − | 0.0721907i | ||||
\(837\) | −1.47329 | −0.0509243 | ||||||||
\(838\) | −4.55343 | + | 14.0140i | −0.157296 | + | 0.484106i | ||||
\(839\) | 33.0787 | − | 24.0331i | 1.14200 | − | 0.829714i | 0.154606 | − | 0.987976i | \(-0.450589\pi\) |
0.987397 | + | 0.158262i | \(0.0505892\pi\) | |||||||
\(840\) | −0.123188 | − | 0.0895012i | −0.00425038 | − | 0.00308809i | ||||
\(841\) | −8.13227 | − | 25.0286i | −0.280423 | − | 0.863054i | ||||
\(842\) | −9.35279 | − | 28.7849i | −0.322318 | − | 0.991994i | ||||
\(843\) | −1.42944 | − | 1.03855i | −0.0492326 | − | 0.0357695i | ||||
\(844\) | 1.94937 | − | 1.41630i | 0.0671001 | − | 0.0487511i | ||||
\(845\) | 9.30677 | − | 28.6433i | 0.320163 | − | 0.985359i | ||||
\(846\) | 1.68187 | 0.0578239 | ||||||||
\(847\) | 8.93203 | − | 20.0583i | 0.306908 | − | 0.689213i | ||||
\(848\) | 7.10083 | 0.243843 | ||||||||
\(849\) | 0.598553 | − | 1.84216i | 0.0205423 | − | 0.0632226i | ||||
\(850\) | −15.4772 | + | 11.2449i | −0.530864 | + | 0.385695i | ||||
\(851\) | 3.86052 | + | 2.80483i | 0.132337 | + | 0.0961485i | ||||
\(852\) | −0.171381 | − | 0.527456i | −0.00587141 | − | 0.0180704i | ||||
\(853\) | 16.4963 | + | 50.7703i | 0.564821 | + | 1.73834i | 0.668482 | + | 0.743729i | \(0.266945\pi\) |
−0.103660 | + | 0.994613i | \(0.533055\pi\) | |||||||
\(854\) | 2.15856 | + | 1.56829i | 0.0738645 | + | 0.0536657i | ||||
\(855\) | 2.66853 | − | 1.93880i | 0.0912617 | − | 0.0663055i | ||||
\(856\) | −3.87062 | + | 11.9125i | −0.132295 | + | 0.407162i | ||||
\(857\) | 29.3716 | 1.00331 | 0.501657 | − | 0.865067i | \(-0.332724\pi\) | ||||
0.501657 | + | 0.865067i | \(0.332724\pi\) | |||||||
\(858\) | 1.13407 | + | 0.918406i | 0.0387164 | + | 0.0313539i | ||||
\(859\) | 32.9455 | 1.12409 | 0.562043 | − | 0.827108i | \(-0.310016\pi\) | ||||
0.562043 | + | 0.827108i | \(0.310016\pi\) | |||||||
\(860\) | 1.78746 | − | 5.50123i | 0.0609518 | − | 0.187590i | ||||
\(861\) | 1.01178 | − | 0.735102i | 0.0344814 | − | 0.0250522i | ||||
\(862\) | −26.8090 | − | 19.4778i | −0.913117 | − | 0.663418i | ||||
\(863\) | 2.63331 | + | 8.10450i | 0.0896389 | + | 0.275880i | 0.985819 | − | 0.167809i | \(-0.0536693\pi\) |
−0.896181 | + | 0.443690i | \(0.853669\pi\) | |||||||
\(864\) | −0.128329 | − | 0.394956i | −0.00436584 | − | 0.0134367i | ||||
\(865\) | −11.8114 | − | 8.58149i | −0.401600 | − | 0.291779i | ||||
\(866\) | 1.00490 | − | 0.730106i | 0.0341480 | − | 0.0248100i | ||||
\(867\) | −0.182303 | + | 0.561070i | −0.00619132 | + | 0.0190549i | ||||
\(868\) | −7.08158 | −0.240364 | ||||||||
\(869\) | −32.9476 | + | 21.3950i | −1.11767 | + | 0.725775i | ||||
\(870\) | 0.124959 | 0.00423652 | ||||||||
\(871\) | −21.7902 | + | 67.0633i | −0.738332 | + | 2.27235i | ||||
\(872\) | 15.7046 | − | 11.4101i | 0.531826 | − | 0.386394i | ||||
\(873\) | 1.54213 | + | 1.12043i | 0.0521933 | + | 0.0379206i | ||||
\(874\) | 1.54442 | + | 4.75324i | 0.0522408 | + | 0.160781i | ||||
\(875\) | −5.96907 | − | 18.3709i | −0.201791 | − | 0.621050i | ||||
\(876\) | −0.141270 | − | 0.102638i | −0.00477305 | − | 0.00346783i | ||||
\(877\) | 37.0899 | − | 26.9474i | 1.25244 | − | 0.909949i | 0.254076 | − | 0.967184i | \(-0.418229\pi\) |
0.998361 | + | 0.0572355i | \(0.0182286\pi\) | |||||||
\(878\) | 4.72789 | − | 14.5510i | 0.159559 | − | 0.491071i | ||||
\(879\) | 0.673447 | 0.0227148 | ||||||||
\(880\) | 3.64744 | + | 0.191267i | 0.122955 | + | 0.00644759i | ||||
\(881\) | 32.0866 | 1.08103 | 0.540513 | − | 0.841336i | \(-0.318230\pi\) | ||||
0.540513 | + | 0.841336i | \(0.318230\pi\) | |||||||
\(882\) | −2.79110 | + | 8.59011i | −0.0939811 | + | 0.289244i | ||||
\(883\) | −16.0025 | + | 11.6265i | −0.538526 | + | 0.391262i | −0.823537 | − | 0.567262i | \(-0.808003\pi\) |
0.285011 | + | 0.958524i | \(0.408003\pi\) | |||||||
\(884\) | 25.9587 | + | 18.8601i | 0.873084 | + | 0.634333i | ||||
\(885\) | 0.0687753 | + | 0.211669i | 0.00231186 | + | 0.00711516i | ||||
\(886\) | 8.55859 | + | 26.3406i | 0.287532 | + | 0.884931i | ||||
\(887\) | −2.71459 | − | 1.97227i | −0.0911472 | − | 0.0662223i | 0.541278 | − | 0.840843i | \(-0.317941\pi\) |
−0.632425 | + | 0.774621i | \(0.717941\pi\) | |||||||
\(888\) | −0.0535058 | + | 0.0388743i | −0.00179554 | + | 0.00130454i | ||||
\(889\) | 6.80962 | − | 20.9579i | 0.228387 | − | 0.702904i | ||||
\(890\) | −9.84066 | −0.329860 | ||||||||
\(891\) | 7.68772 | + | 28.6945i | 0.257548 | + | 0.961302i | ||||
\(892\) | −3.71612 | −0.124425 | ||||||||
\(893\) | 0.173520 | − | 0.534039i | 0.00580662 | − | 0.0178709i | ||||
\(894\) | −0.0885021 | + | 0.0643005i | −0.00295995 | + | 0.00215053i | ||||
\(895\) | 17.0859 | + | 12.4136i | 0.571118 | + | 0.414942i | ||||
\(896\) | −0.616832 | − | 1.89841i | −0.0206069 | − | 0.0634215i | ||||
\(897\) | −0.679541 | − | 2.09141i | −0.0226892 | − | 0.0698302i | ||||
\(898\) | −23.6746 | − | 17.2006i | −0.790033 | − | 0.573992i | ||||
\(899\) | 4.70161 | − | 3.41592i | 0.156808 | − | 0.113927i | ||||
\(900\) | 3.50535 | − | 10.7883i | 0.116845 | − | 0.359612i | ||||
\(901\) | 35.8692 | 1.19498 | ||||||||
\(902\) | −10.7514 | + | 28.0059i | −0.357984 | + | 0.932494i | ||||
\(903\) | −0.726253 | −0.0241682 | ||||||||
\(904\) | 3.82904 | − | 11.7846i | 0.127352 | − | 0.391949i | ||||
\(905\) | 4.16967 | − | 3.02944i | 0.138604 | − | 0.100702i | ||||
\(906\) | −1.17758 | − | 0.855559i | −0.0391223 | − | 0.0284240i | ||||
\(907\) | −4.82352 | − | 14.8453i | −0.160162 | − | 0.492929i | 0.838485 | − | 0.544925i | \(-0.183442\pi\) |
−0.998647 | + | 0.0519957i | \(0.983442\pi\) | |||||||
\(908\) | −3.76001 | − | 11.5721i | −0.124780 | − | 0.384035i | ||||
\(909\) | −24.5898 | − | 17.8655i | −0.815591 | − | 0.592562i | ||||
\(910\) | −11.2964 | + | 8.20735i | −0.374473 | + | 0.272071i | ||||
\(911\) | −15.6231 | + | 48.0829i | −0.517616 | + | 1.59306i | 0.260855 | + | 0.965378i | \(0.415996\pi\) |
−0.778471 | + | 0.627680i | \(0.784004\pi\) | |||||||
\(912\) | −0.0692689 | −0.00229372 | ||||||||
\(913\) | 11.6053 | − | 30.2302i | 0.384081 | − | 1.00047i | ||||
\(914\) | −18.8923 | −0.624901 | ||||||||
\(915\) | −0.0315087 | + | 0.0969739i | −0.00104165 | + | 0.00320586i | ||||
\(916\) | 14.4378 | − | 10.4897i | 0.477037 | − | 0.346588i | ||||
\(917\) | 25.3636 | + | 18.4277i | 0.837580 | + | 0.608538i | ||||
\(918\) | −0.648241 | − | 1.99508i | −0.0213952 | − | 0.0658475i | ||||
\(919\) | −6.96159 | − | 21.4256i | −0.229642 | − | 0.706765i | −0.997787 | − | 0.0664892i | \(-0.978820\pi\) |
0.768145 | − | 0.640275i | \(-0.221180\pi\) | |||||||
\(920\) | −4.45275 | − | 3.23511i | −0.146803 | − | 0.106659i | ||||
\(921\) | 1.92034 | − | 1.39521i | 0.0632775 | − | 0.0459738i | ||||
\(922\) | −11.4510 | + | 35.2426i | −0.377119 | + | 1.16065i | ||||
\(923\) | −50.8574 | −1.67399 | ||||||||
\(924\) | −0.118677 | − | 0.442962i | −0.00390417 | − | 0.0145724i | ||||
\(925\) | −3.61600 | −0.118893 | ||||||||
\(926\) | −5.12421 | + | 15.7707i | −0.168392 | + | 0.518258i | ||||
\(927\) | −0.723607 | + | 0.525731i | −0.0237664 | + | 0.0172673i | ||||
\(928\) | 1.32526 | + | 0.962857i | 0.0435038 | + | 0.0316073i | ||||
\(929\) | −3.83357 | − | 11.7985i | −0.125775 | − | 0.387097i | 0.868266 | − | 0.496099i | \(-0.165235\pi\) |
−0.994042 | + | 0.109002i | \(0.965235\pi\) | |||||||
\(930\) | −0.0836285 | − | 0.257382i | −0.00274229 | − | 0.00843989i | ||||
\(931\) | 2.43963 | + | 1.77250i | 0.0799557 | + | 0.0580912i | ||||
\(932\) | 16.1805 | − | 11.7558i | 0.530010 | − | 0.385075i | ||||
\(933\) | −0.464322 | + | 1.42904i | −0.0152012 | + | 0.0467845i | ||||
\(934\) | 2.72432 | 0.0891424 | ||||||||
\(935\) | 18.4247 | + | 0.966165i | 0.602552 | + | 0.0315970i | ||||
\(936\) | −19.0256 | −0.621871 | ||||||||
\(937\) | −11.7697 | + | 36.2235i | −0.384501 | + | 1.18337i | 0.552341 | + | 0.833618i | \(0.313735\pi\) |
−0.936842 | + | 0.349753i | \(0.886265\pi\) | |||||||
\(938\) | 17.9270 | − | 13.0247i | 0.585338 | − | 0.425273i | ||||
\(939\) | 0.793441 | + | 0.576469i | 0.0258930 | + | 0.0188124i | ||||
\(940\) | 0.191089 | + | 0.588113i | 0.00623265 | + | 0.0191821i | ||||
\(941\) | 1.12928 | + | 3.47556i | 0.0368134 | + | 0.113300i | 0.967775 | − | 0.251818i | \(-0.0810285\pi\) |
−0.930961 | + | 0.365118i | \(0.881029\pi\) | |||||||
\(942\) | 0.512251 | + | 0.372172i | 0.0166900 | + | 0.0121260i | ||||
\(943\) | 36.5719 | − | 26.5710i | 1.19094 | − | 0.865272i | ||||
\(944\) | −0.901585 | + | 2.77479i | −0.0293441 | + | 0.0903118i | ||||
\(945\) | 0.912881 | 0.0296960 | ||||||||
\(946\) | 14.6104 | − | 9.48747i | 0.475025 | − | 0.308464i | ||||
\(947\) | −3.79469 | −0.123311 | −0.0616554 | − | 0.998097i | \(-0.519638\pi\) | ||||
−0.0616554 | + | 0.998097i | \(0.519638\pi\) | |||||||
\(948\) | −0.253541 | + | 0.780318i | −0.00823462 | + | 0.0253436i | ||||
\(949\) | −12.9546 | + | 9.41203i | −0.420523 | + | 0.305527i | ||||
\(950\) | −3.06394 | − | 2.22608i | −0.0994073 | − | 0.0722237i | ||||
\(951\) | −0.339714 | − | 1.04553i | −0.0110160 | − | 0.0339037i | ||||
\(952\) | −3.11587 | − | 9.58965i | −0.100986 | − | 0.310802i | ||||
\(953\) | 32.4632 | + | 23.5859i | 1.05159 | + | 0.764022i | 0.972513 | − | 0.232847i | \(-0.0748041\pi\) |
0.0790727 | + | 0.996869i | \(0.474804\pi\) | |||||||
\(954\) | −17.2065 | + | 12.5013i | −0.557081 | + | 0.404743i | ||||
\(955\) | 1.80586 | − | 5.55787i | 0.0584363 | − | 0.179848i | ||||
\(956\) | 15.6864 | 0.507334 | ||||||||
\(957\) | 0.292462 | + | 0.236846i | 0.00945396 | + | 0.00765614i | ||||
\(958\) | 19.8904 | 0.642630 | ||||||||
\(959\) | 4.49745 | − | 13.8417i | 0.145230 | − | 0.446973i | ||||
\(960\) | 0.0617140 | − | 0.0448378i | 0.00199181 | − | 0.00144714i | ||||
\(961\) | 14.8971 | + | 10.8234i | 0.480553 | + | 0.349142i | ||||
\(962\) | 1.87413 | + | 5.76798i | 0.0604244 | + | 0.185967i | ||||
\(963\) | −11.5933 | − | 35.6805i | −0.373588 | − | 1.14979i | ||||
\(964\) | −3.96220 | − | 2.87871i | −0.127614 | − | 0.0927170i | ||||
\(965\) | −0.263080 | + | 0.191139i | −0.00846883 | + | 0.00615297i | ||||
\(966\) | −0.213544 | + | 0.657222i | −0.00687067 | + | 0.0211458i | ||||
\(967\) | −3.57570 | −0.114987 | −0.0574934 | − | 0.998346i | \(-0.518311\pi\) | ||||
−0.0574934 | + | 0.998346i | \(0.518311\pi\) | |||||||
\(968\) | 8.17414 | + | 7.36094i | 0.262727 | + | 0.236590i | ||||
\(969\) | −0.349905 | −0.0112406 | ||||||||
\(970\) | −0.216575 | + | 0.666549i | −0.00695380 | + | 0.0214016i | ||||
\(971\) | 12.7138 | − | 9.23708i | 0.408004 | − | 0.296432i | −0.364789 | − | 0.931090i | \(-0.618859\pi\) |
0.772793 | + | 0.634658i | \(0.218859\pi\) | |||||||
\(972\) | 1.50985 | + | 1.09697i | 0.0484284 | + | 0.0351853i | ||||
\(973\) | 2.28630 | + | 7.03649i | 0.0732953 | + | 0.225580i | ||||
\(974\) | −1.58446 | − | 4.87646i | −0.0507693 | − | 0.156252i | ||||
\(975\) | 1.34813 | + | 0.979471i | 0.0431746 | + | 0.0313682i | ||||
\(976\) | −1.08138 | + | 0.785672i | −0.0346143 | + | 0.0251487i | ||||
\(977\) | 9.67894 | − | 29.7887i | 0.309657 | − | 0.953025i | −0.668242 | − | 0.743944i | \(-0.732953\pi\) |
0.977898 | − | 0.209081i | \(-0.0670472\pi\) | |||||||
\(978\) | 0.996987 | 0.0318801 | ||||||||
\(979\) | −23.0316 | − | 18.6518i | −0.736094 | − | 0.596115i | ||||
\(980\) | −3.32089 | −0.106082 | ||||||||
\(981\) | −17.9671 | + | 55.2972i | −0.573646 | + | 1.76550i | ||||
\(982\) | −1.06951 | + | 0.777041i | −0.0341293 | + | 0.0247964i | ||||
\(983\) | 28.8482 | + | 20.9594i | 0.920113 | + | 0.668501i | 0.943552 | − | 0.331224i | \(-0.107462\pi\) |
−0.0234390 | + | 0.999725i | \(0.507462\pi\) | |||||||
\(984\) | 0.193610 | + | 0.595869i | 0.00617205 | + | 0.0189956i | ||||
\(985\) | −8.37085 | − | 25.7628i | −0.266718 | − | 0.820872i | ||||
\(986\) | 6.69443 | + | 4.86378i | 0.213194 | + | 0.154894i | ||||
\(987\) | 0.0628126 | − | 0.0456360i | 0.00199935 | − | 0.00145261i | ||||
\(988\) | −1.96288 | + | 6.04113i | −0.0624476 | + | 0.192194i | ||||
\(989\) | −26.2512 | −0.834739 | ||||||||
\(990\) | −9.17509 | + | 5.95797i | −0.291603 | + | 0.189357i | ||||
\(991\) | −16.7562 | −0.532278 | −0.266139 | − | 0.963935i | \(-0.585748\pi\) | ||||
−0.266139 | + | 0.963935i | \(0.585748\pi\) | |||||||
\(992\) | 1.09630 | − | 3.37406i | 0.0348075 | − | 0.107126i | ||||
\(993\) | 1.09226 | − | 0.793571i | 0.0346617 | − | 0.0251832i | ||||
\(994\) | 12.9296 | + | 9.39388i | 0.410101 | + | 0.297956i | ||||
\(995\) | −7.50723 | − | 23.1049i | −0.237995 | − | 0.732474i | ||||
\(996\) | −0.208987 | − | 0.643195i | −0.00662199 | − | 0.0203804i | ||||
\(997\) | −40.1021 | − | 29.1358i | −1.27004 | − | 0.922741i | −0.270840 | − | 0.962624i | \(-0.587302\pi\) |
−0.999204 | + | 0.0398828i | \(0.987302\pi\) | |||||||
\(998\) | −17.7893 | + | 12.9247i | −0.563111 | + | 0.409124i | ||||
\(999\) | 0.122526 | − | 0.377098i | 0.00387656 | − | 0.0119308i |
(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 | 418.2.f.g.229.2 | yes | 16 | |
11.4 | even | 5 | 4598.2.a.bw.1.5 | 8 | |||
11.5 | even | 5 | inner | 418.2.f.g.115.2 | ✓ | 16 | |
11.7 | odd | 10 | 4598.2.a.bz.1.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.f.g.115.2 | ✓ | 16 | 11.5 | even | 5 | inner | |
418.2.f.g.229.2 | yes | 16 | 1.1 | even | 1 | trivial | |
4598.2.a.bw.1.5 | 8 | 11.4 | even | 5 | |||
4598.2.a.bz.1.5 | 8 | 11.7 | odd | 10 |