Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 211.5 | ||
Character | \(\chi\) | \(=\) | 225.211 |
Dual form | 225.2.q.a.16.5 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92765 | − | 0.858246i | −1.36306 | − | 0.606871i | −0.410675 | − | 0.911782i | \(-0.634707\pi\) |
−0.952381 | + | 0.304911i | \(0.901373\pi\) | |||||||
\(3\) | 1.36960 | − | 1.06028i | 0.790739 | − | 0.612153i | ||||
\(4\) | 1.64099 | + | 1.82251i | 0.820497 | + | 0.911254i | ||||
\(5\) | 0.896552 | + | 2.04846i | 0.400950 | + | 0.916100i | ||||
\(6\) | −3.55009 | + | 0.868397i | −1.44932 | + | 0.354521i | ||||
\(7\) | −2.48928 | − | 4.31156i | −0.940859 | − | 1.62962i | −0.763838 | − | 0.645408i | \(-0.776687\pi\) |
−0.177021 | − | 0.984207i | \(-0.556646\pi\) | |||||||
\(8\) | −0.295005 | − | 0.907932i | −0.104300 | − | 0.321003i | ||||
\(9\) | 0.751612 | − | 2.90432i | 0.250537 | − | 0.968107i | ||||
\(10\) | 0.0298427 | − | 4.71818i | 0.00943710 | − | 1.49202i | ||||
\(11\) | 1.72651 | + | 0.768690i | 0.520561 | + | 0.231769i | 0.650159 | − | 0.759798i | \(-0.274702\pi\) |
−0.129598 | + | 0.991567i | \(0.541369\pi\) | |||||||
\(12\) | 4.17988 | + | 0.756196i | 1.20663 | + | 0.218295i | ||||
\(13\) | 3.32474 | − | 1.48027i | 0.922118 | − | 0.410553i | 0.109924 | − | 0.993940i | \(-0.464939\pi\) |
0.812195 | + | 0.583387i | \(0.198273\pi\) | |||||||
\(14\) | 1.09809 | + | 10.4476i | 0.293476 | + | 2.79224i | ||||
\(15\) | 3.39986 | + | 1.85498i | 0.877840 | + | 0.478953i | ||||
\(16\) | 0.302135 | − | 2.87462i | 0.0755337 | − | 0.718655i | ||||
\(17\) | −1.29210 | − | 3.97666i | −0.313379 | − | 0.964482i | −0.976417 | − | 0.215895i | \(-0.930733\pi\) |
0.663037 | − | 0.748586i | \(-0.269267\pi\) | |||||||
\(18\) | −3.94147 | + | 4.95345i | −0.929013 | + | 1.16754i | ||||
\(19\) | −0.0810560 | − | 0.249465i | −0.0185955 | − | 0.0572311i | 0.941328 | − | 0.337493i | \(-0.109579\pi\) |
−0.959924 | + | 0.280262i | \(0.909579\pi\) | |||||||
\(20\) | −2.26210 | + | 4.99549i | −0.505821 | + | 1.11702i | ||||
\(21\) | −7.98078 | − | 3.26578i | −1.74155 | − | 0.712651i | ||||
\(22\) | −2.66838 | − | 2.96353i | −0.568900 | − | 0.631827i | ||||
\(23\) | −0.257957 | − | 2.45430i | −0.0537877 | − | 0.511756i | −0.987935 | − | 0.154869i | \(-0.950505\pi\) |
0.934147 | − | 0.356888i | \(-0.116162\pi\) | |||||||
\(24\) | −1.36670 | − | 0.930717i | −0.278977 | − | 0.189982i | ||||
\(25\) | −3.39239 | + | 3.67311i | −0.678478 | + | 0.734621i | ||||
\(26\) | −7.67939 | −1.50605 | ||||||||
\(27\) | −2.04999 | − | 4.77468i | −0.394520 | − | 0.918887i | ||||
\(28\) | 3.77296 | − | 11.6120i | 0.713022 | − | 2.19446i | ||||
\(29\) | −1.68200 | + | 0.357521i | −0.312340 | + | 0.0663899i | −0.361415 | − | 0.932405i | \(-0.617706\pi\) |
0.0490746 | + | 0.998795i | \(0.484373\pi\) | |||||||
\(30\) | −4.96172 | − | 6.49367i | −0.905882 | − | 1.18558i | ||||
\(31\) | 1.27017 | + | 0.269984i | 0.228130 | + | 0.0484905i | 0.320558 | − | 0.947229i | \(-0.396130\pi\) |
−0.0924281 | + | 0.995719i | \(0.529463\pi\) | |||||||
\(32\) | −4.00420 | + | 6.93548i | −0.707849 | + | 1.22603i | ||||
\(33\) | 3.17965 | − | 0.777782i | 0.553506 | − | 0.135394i | ||||
\(34\) | −0.922242 | + | 8.77455i | −0.158163 | + | 1.50482i | ||||
\(35\) | 6.60029 | − | 8.96473i | 1.11565 | − | 1.51532i | ||||
\(36\) | 6.52654 | − | 3.39615i | 1.08776 | − | 0.566026i | ||||
\(37\) | 6.88574 | + | 5.00278i | 1.13201 | + | 0.822452i | 0.985986 | − | 0.166829i | \(-0.0533529\pi\) |
0.146022 | + | 0.989281i | \(0.453353\pi\) | |||||||
\(38\) | −0.0578543 | + | 0.550447i | −0.00938520 | + | 0.0892943i | ||||
\(39\) | 2.98407 | − | 5.55254i | 0.477834 | − | 0.889118i | ||||
\(40\) | 1.59538 | − | 1.41832i | 0.252251 | − | 0.224255i | ||||
\(41\) | −3.39601 | + | 1.51200i | −0.530367 | + | 0.236135i | −0.654407 | − | 0.756143i | \(-0.727082\pi\) |
0.124040 | + | 0.992277i | \(0.460415\pi\) | |||||||
\(42\) | 12.5813 | + | 13.1448i | 1.94134 | + | 2.02828i | ||||
\(43\) | −1.88510 | − | 3.26508i | −0.287475 | − | 0.497921i | 0.685732 | − | 0.727854i | \(-0.259482\pi\) |
−0.973206 | + | 0.229934i | \(0.926149\pi\) | |||||||
\(44\) | 1.43224 | + | 4.40799i | 0.215919 | + | 0.664529i | ||||
\(45\) | 6.62325 | − | 1.06423i | 0.987336 | − | 0.158646i | ||||
\(46\) | −1.60914 | + | 4.95242i | −0.237255 | + | 0.730194i | ||||
\(47\) | 2.60129 | − | 0.552921i | 0.379437 | − | 0.0806519i | −0.0142448 | − | 0.999899i | \(-0.504534\pi\) |
0.393682 | + | 0.919247i | \(0.371201\pi\) | |||||||
\(48\) | −2.63410 | − | 4.25743i | −0.380200 | − | 0.614507i | ||||
\(49\) | −8.89301 | + | 15.4032i | −1.27043 | + | 2.20045i | ||||
\(50\) | 9.69177 | − | 4.16897i | 1.37062 | − | 0.589581i | ||||
\(51\) | −5.98603 | − | 4.07645i | −0.838211 | − | 0.570818i | ||||
\(52\) | 8.15369 | + | 3.63026i | 1.13071 | + | 0.503426i | ||||
\(53\) | −3.69988 | + | 11.3871i | −0.508217 | + | 1.56413i | 0.287077 | + | 0.957908i | \(0.407317\pi\) |
−0.795294 | + | 0.606224i | \(0.792683\pi\) | |||||||
\(54\) | −0.146191 | + | 10.9633i | −0.0198941 | + | 1.49192i | ||||
\(55\) | −0.0267287 | + | 4.22585i | −0.00360410 | + | 0.569814i | ||||
\(56\) | −3.18025 | + | 3.53203i | −0.424979 | + | 0.471987i | ||||
\(57\) | −0.375517 | − | 0.255725i | −0.0497384 | − | 0.0338716i | ||||
\(58\) | 3.54916 | + | 0.754396i | 0.466027 | + | 0.0990571i | ||||
\(59\) | 10.1104 | − | 4.50144i | 1.31626 | − | 0.586037i | 0.376041 | − | 0.926603i | \(-0.377285\pi\) |
0.940221 | + | 0.340566i | \(0.110619\pi\) | |||||||
\(60\) | 2.19844 | + | 9.24028i | 0.283817 | + | 1.19292i | ||||
\(61\) | 5.65749 | + | 2.51887i | 0.724367 | + | 0.322509i | 0.735589 | − | 0.677428i | \(-0.236906\pi\) |
−0.0112221 | + | 0.999937i | \(0.503572\pi\) | |||||||
\(62\) | −2.21674 | − | 1.61056i | −0.281526 | − | 0.204541i | ||||
\(63\) | −14.3931 | + | 3.98904i | −1.81336 | + | 0.502572i | ||||
\(64\) | 8.99419 | − | 6.53466i | 1.12427 | − | 0.816833i | ||||
\(65\) | 6.01309 | + | 5.48347i | 0.745832 | + | 0.680141i | ||||
\(66\) | −6.79679 | − | 1.22963i | −0.836627 | − | 0.151357i | ||||
\(67\) | 10.8335 | + | 2.30273i | 1.32352 | + | 0.281323i | 0.814867 | − | 0.579648i | \(-0.196810\pi\) |
0.508654 | + | 0.860971i | \(0.330143\pi\) | |||||||
\(68\) | 5.12718 | − | 8.88053i | 0.621761 | − | 1.07692i | ||||
\(69\) | −2.95554 | − | 3.08790i | −0.355805 | − | 0.371739i | ||||
\(70\) | −20.4170 | + | 11.6162i | −2.44030 | + | 1.38840i | ||||
\(71\) | −2.45250 | + | 7.54802i | −0.291058 | + | 0.895786i | 0.693459 | + | 0.720496i | \(0.256086\pi\) |
−0.984517 | + | 0.175289i | \(0.943914\pi\) | |||||||
\(72\) | −2.85866 | + | 0.174376i | −0.336896 | + | 0.0205505i | ||||
\(73\) | 4.25757 | − | 3.09331i | 0.498311 | − | 0.362044i | −0.310060 | − | 0.950717i | \(-0.600349\pi\) |
0.808372 | + | 0.588673i | \(0.200349\pi\) | |||||||
\(74\) | −8.97969 | − | 15.5533i | −1.04387 | − | 1.80803i | ||||
\(75\) | −0.751696 | + | 8.62757i | −0.0867983 | + | 0.996226i | ||||
\(76\) | 0.321639 | − | 0.557095i | 0.0368945 | − | 0.0639032i | ||||
\(77\) | −0.983504 | − | 9.35741i | −0.112081 | − | 1.06638i | ||||
\(78\) | −10.5177 | + | 8.14230i | −1.19089 | + | 0.921934i | ||||
\(79\) | 5.33957 | − | 1.13496i | 0.600748 | − | 0.127693i | 0.102508 | − | 0.994732i | \(-0.467313\pi\) |
0.498240 | + | 0.867039i | \(0.333980\pi\) | |||||||
\(80\) | 6.15943 | − | 1.95834i | 0.688645 | − | 0.218949i | ||||
\(81\) | −7.87016 | − | 4.36585i | −0.874462 | − | 0.485094i | ||||
\(82\) | 7.84399 | 0.866223 | ||||||||
\(83\) | −3.11812 | + | 3.46302i | −0.342258 | + | 0.380116i | −0.889559 | − | 0.456820i | \(-0.848988\pi\) |
0.547301 | + | 0.836936i | \(0.315655\pi\) | |||||||
\(84\) | −7.14450 | − | 19.9042i | −0.779528 | − | 2.17172i | ||||
\(85\) | 6.98760 | − | 6.21209i | 0.757912 | − | 0.673796i | ||||
\(86\) | 0.831566 | + | 7.91182i | 0.0896700 | + | 0.853153i | ||||
\(87\) | −1.92460 | + | 2.27305i | −0.206339 | + | 0.243697i | ||||
\(88\) | 0.188590 | − | 1.79432i | 0.0201038 | − | 0.191275i | ||||
\(89\) | 0.287009 | − | 0.208524i | 0.0304229 | − | 0.0221035i | −0.572470 | − | 0.819926i | \(-0.694015\pi\) |
0.602893 | + | 0.797822i | \(0.294015\pi\) | |||||||
\(90\) | −13.6807 | − | 3.63292i | −1.44207 | − | 0.382943i | ||||
\(91\) | −14.6585 | − | 10.6500i | −1.53663 | − | 1.11642i | ||||
\(92\) | 4.04967 | − | 4.49761i | 0.422207 | − | 0.468909i | ||||
\(93\) | 2.02589 | − | 0.976971i | 0.210075 | − | 0.101307i | ||||
\(94\) | −5.48893 | − | 1.16671i | −0.566139 | − | 0.120337i | ||||
\(95\) | 0.438348 | − | 0.389698i | 0.0449735 | − | 0.0399822i | ||||
\(96\) | 1.86939 | + | 13.7444i | 0.190794 | + | 1.40278i | ||||
\(97\) | −9.60882 | + | 2.04242i | −0.975628 | + | 0.207376i | −0.668025 | − | 0.744139i | \(-0.732860\pi\) |
−0.307603 | + | 0.951515i | \(0.599527\pi\) | |||||||
\(98\) | 30.3623 | − | 22.0595i | 3.06706 | − | 2.22835i | ||||
\(99\) | 3.53019 | − | 4.43657i | 0.354797 | − | 0.445892i | ||||
\(100\) | −12.2612 | − | 0.155111i | −1.22612 | − | 0.0155111i | ||||
\(101\) | 6.28156 | + | 10.8800i | 0.625039 | + | 1.08260i | 0.988533 | + | 0.151002i | \(0.0482501\pi\) |
−0.363495 | + | 0.931596i | \(0.618417\pi\) | |||||||
\(102\) | 8.04038 | + | 12.9955i | 0.796116 | + | 1.28674i | ||||
\(103\) | 0.783455 | + | 0.870115i | 0.0771962 | + | 0.0857350i | 0.780505 | − | 0.625149i | \(-0.214962\pi\) |
−0.703309 | + | 0.710884i | \(0.748295\pi\) | |||||||
\(104\) | −2.32480 | − | 2.58195i | −0.227966 | − | 0.253181i | ||||
\(105\) | −0.465362 | − | 19.2763i | −0.0454146 | − | 1.88117i | ||||
\(106\) | 16.9050 | − | 18.7749i | 1.64196 | − | 1.82358i | ||||
\(107\) | −9.50230 | −0.918622 | −0.459311 | − | 0.888275i | \(-0.651904\pi\) | ||||
−0.459311 | + | 0.888275i | \(0.651904\pi\) | |||||||
\(108\) | 5.33788 | − | 11.5713i | 0.513638 | − | 1.11345i | ||||
\(109\) | 12.2415 | + | 8.89397i | 1.17252 | + | 0.851888i | 0.991309 | − | 0.131555i | \(-0.0419971\pi\) |
0.181215 | + | 0.983444i | \(0.441997\pi\) | |||||||
\(110\) | 3.67834 | − | 8.12303i | 0.350716 | − | 0.774501i | ||||
\(111\) | 14.7351 | − | 0.448998i | 1.39859 | − | 0.0426170i | ||||
\(112\) | −13.1462 | + | 5.85306i | −1.24220 | + | 0.553062i | ||||
\(113\) | −12.6322 | + | 5.62424i | −1.18834 | + | 0.529084i | −0.903124 | − | 0.429379i | \(-0.858733\pi\) |
−0.285218 | + | 0.958463i | \(0.592066\pi\) | |||||||
\(114\) | 0.504391 | + | 0.815234i | 0.0472405 | + | 0.0763537i | ||||
\(115\) | 4.79626 | − | 2.72882i | 0.447253 | − | 0.254464i | ||||
\(116\) | −3.41174 | − | 2.47877i | −0.316772 | − | 0.230148i | ||||
\(117\) | −1.80027 | − | 10.7687i | −0.166435 | − | 0.995568i | ||||
\(118\) | −23.3527 | −2.14979 | ||||||||
\(119\) | −13.9292 | + | 15.4700i | −1.27689 | + | 1.41813i | ||||
\(120\) | 0.681217 | − | 3.63407i | 0.0621864 | − | 0.331744i | ||||
\(121\) | −4.97050 | − | 5.52030i | −0.451863 | − | 0.501845i | ||||
\(122\) | −8.74385 | − | 9.71103i | −0.791631 | − | 0.879195i | ||||
\(123\) | −3.04803 | + | 5.67155i | −0.274832 | + | 0.511387i | ||||
\(124\) | 1.59230 | + | 2.75795i | 0.142993 | + | 0.247671i | ||||
\(125\) | −10.5657 | − | 3.65604i | −0.945022 | − | 0.327006i | ||||
\(126\) | 31.1685 | + | 4.66334i | 2.77671 | + | 0.415444i | ||||
\(127\) | −16.2948 | + | 11.8389i | −1.44593 | + | 1.05053i | −0.459173 | + | 0.888347i | \(0.651854\pi\) |
−0.986760 | + | 0.162185i | \(0.948146\pi\) | |||||||
\(128\) | −7.27922 | + | 1.54725i | −0.643398 | + | 0.136759i | ||||
\(129\) | −6.04373 | − | 2.47313i | −0.532121 | − | 0.217747i | ||||
\(130\) | −6.88497 | − | 15.7309i | −0.603852 | − | 1.37969i | ||||
\(131\) | 16.9996 | + | 3.61338i | 1.48527 | + | 0.315703i | 0.877948 | − | 0.478756i | \(-0.158912\pi\) |
0.607318 | + | 0.794459i | \(0.292246\pi\) | |||||||
\(132\) | 6.63530 | + | 4.51861i | 0.577529 | + | 0.393294i | ||||
\(133\) | −0.873810 | + | 0.970464i | −0.0757689 | + | 0.0841499i | ||||
\(134\) | −18.9069 | − | 13.7367i | −1.63331 | − | 1.18667i | ||||
\(135\) | 7.94283 | − | 8.48007i | 0.683610 | − | 0.729848i | ||||
\(136\) | −3.22936 | + | 2.34627i | −0.276916 | + | 0.201191i | ||||
\(137\) | 1.13072 | − | 10.7581i | 0.0966037 | − | 0.919123i | −0.833671 | − | 0.552261i | \(-0.813765\pi\) |
0.930275 | − | 0.366862i | \(-0.119568\pi\) | |||||||
\(138\) | 3.04707 | + | 8.48897i | 0.259384 | + | 0.722629i | ||||
\(139\) | −1.24824 | − | 11.8762i | −0.105874 | − | 1.00733i | −0.910490 | − | 0.413531i | \(-0.864295\pi\) |
0.804616 | − | 0.593796i | \(-0.202371\pi\) | |||||||
\(140\) | 27.1693 | − | 2.68198i | 2.29623 | − | 0.226669i | ||||
\(141\) | 2.97648 | − | 3.51538i | 0.250665 | − | 0.296048i | ||||
\(142\) | 11.2056 | − | 12.4451i | 0.940355 | − | 1.04437i | ||||
\(143\) | 6.87806 | 0.575172 | ||||||||
\(144\) | −8.12173 | − | 3.03810i | −0.676811 | − | 0.253175i | ||||
\(145\) | −2.24037 | − | 3.12498i | −0.186053 | − | 0.259516i | ||||
\(146\) | −10.8619 | + | 2.30878i | −0.898941 | + | 0.191076i | ||||
\(147\) | 4.15178 | + | 30.5253i | 0.342433 | + | 2.51768i | ||||
\(148\) | 2.18184 | + | 20.7588i | 0.179346 | + | 1.70637i | ||||
\(149\) | 5.92237 | − | 10.2578i | 0.485179 | − | 0.840355i | −0.514676 | − | 0.857385i | \(-0.672088\pi\) |
0.999855 | + | 0.0170300i | \(0.00542107\pi\) | |||||||
\(150\) | 8.85358 | − | 15.9858i | 0.722892 | − | 1.30524i | ||||
\(151\) | −2.14043 | − | 3.70734i | −0.174186 | − | 0.301699i | 0.765693 | − | 0.643206i | \(-0.222396\pi\) |
−0.939879 | + | 0.341507i | \(0.889063\pi\) | |||||||
\(152\) | −0.202585 | + | 0.147187i | −0.0164318 | + | 0.0119384i | ||||
\(153\) | −12.5206 | + | 0.763753i | −1.01223 | + | 0.0617458i | ||||
\(154\) | −6.13511 | + | 18.8819i | −0.494381 | + | 1.52155i | ||||
\(155\) | 0.585726 | + | 2.84396i | 0.0470467 | + | 0.228432i | ||||
\(156\) | 15.0164 | − | 3.67319i | 1.20227 | − | 0.294091i | ||||
\(157\) | −7.76946 | + | 13.4571i | −0.620070 | + | 1.07399i | 0.369402 | + | 0.929270i | \(0.379563\pi\) |
−0.989472 | + | 0.144723i | \(0.953771\pi\) | |||||||
\(158\) | −11.2669 | − | 2.39485i | −0.896346 | − | 0.190524i | ||||
\(159\) | 7.00611 | + | 19.5186i | 0.555621 | + | 1.54793i | ||||
\(160\) | −17.7970 | − | 1.98443i | −1.40698 | − | 0.156883i | ||||
\(161\) | −9.93971 | + | 7.22162i | −0.783359 | + | 0.569144i | ||||
\(162\) | 11.4240 | + | 15.1704i | 0.897551 | + | 1.19190i | ||||
\(163\) | 13.2313 | + | 9.61308i | 1.03635 | + | 0.752955i | 0.969570 | − | 0.244813i | \(-0.0787265\pi\) |
0.0667830 | + | 0.997768i | \(0.478726\pi\) | |||||||
\(164\) | −8.32846 | − | 3.70807i | −0.650343 | − | 0.289552i | ||||
\(165\) | 4.44398 | + | 5.81607i | 0.345963 | + | 0.452780i | ||||
\(166\) | 8.98277 | − | 3.99939i | 0.697198 | − | 0.310413i | ||||
\(167\) | −12.2209 | − | 2.59762i | −0.945679 | − | 0.201010i | −0.290834 | − | 0.956774i | \(-0.593933\pi\) |
−0.654845 | + | 0.755763i | \(0.727266\pi\) | |||||||
\(168\) | −0.610737 | + | 8.20942i | −0.0471193 | + | 0.633371i | ||||
\(169\) | 0.164023 | − | 0.182166i | 0.0126171 | − | 0.0140128i | ||||
\(170\) | −18.8012 | + | 5.97767i | −1.44198 | + | 0.458466i | ||||
\(171\) | −0.785448 | + | 0.0479119i | −0.0600647 | + | 0.00366391i | ||||
\(172\) | 2.85721 | − | 8.79359i | 0.217860 | − | 0.670505i | ||||
\(173\) | 1.41051 | + | 0.628000i | 0.107239 | + | 0.0477460i | 0.459655 | − | 0.888098i | \(-0.347973\pi\) |
−0.352416 | + | 0.935844i | \(0.614640\pi\) | |||||||
\(174\) | 5.66080 | − | 2.72988i | 0.429144 | − | 0.206951i | ||||
\(175\) | 24.2814 | + | 5.48309i | 1.83550 | + | 0.414483i | ||||
\(176\) | 2.73133 | − | 4.73080i | 0.205882 | − | 0.356598i | ||||
\(177\) | 9.07442 | − | 16.8850i | 0.682075 | − | 1.26916i | ||||
\(178\) | −0.732218 | + | 0.155638i | −0.0548821 | + | 0.0116655i | ||||
\(179\) | 4.93082 | − | 15.1755i | 0.368547 | − | 1.13427i | −0.579183 | − | 0.815198i | \(-0.696628\pi\) |
0.947730 | − | 0.319073i | \(-0.103372\pi\) | |||||||
\(180\) | 12.8083 | + | 10.3245i | 0.954672 | + | 0.769546i | ||||
\(181\) | 3.96156 | + | 12.1924i | 0.294461 | + | 0.906256i | 0.983402 | + | 0.181439i | \(0.0580757\pi\) |
−0.688942 | + | 0.724817i | \(0.741924\pi\) | |||||||
\(182\) | 19.1161 | + | 33.1101i | 1.41698 | + | 2.45428i | ||||
\(183\) | 10.4192 | − | 2.54867i | 0.770210 | − | 0.188403i | ||||
\(184\) | −2.15224 | + | 0.958237i | −0.158665 | + | 0.0706422i | ||||
\(185\) | −4.07458 | + | 18.5904i | −0.299569 | + | 1.36679i | ||||
\(186\) | −4.74369 | + | 0.144547i | −0.347824 | + | 0.0105987i | ||||
\(187\) | 0.826009 | − | 7.85895i | 0.0604037 | − | 0.574703i | ||||
\(188\) | 5.27641 | + | 3.83353i | 0.384822 | + | 0.279589i | ||||
\(189\) | −15.4833 | + | 20.7241i | −1.12625 | + | 1.50746i | ||||
\(190\) | −1.17944 | + | 0.374992i | −0.0855655 | + | 0.0272048i | ||||
\(191\) | −0.443254 | + | 4.21728i | −0.0320727 | + | 0.305152i | 0.966712 | + | 0.255867i | \(0.0823609\pi\) |
−0.998785 | + | 0.0492849i | \(0.984306\pi\) | |||||||
\(192\) | 5.38988 | − | 18.4862i | 0.388981 | − | 1.33413i | ||||
\(193\) | −4.41000 | + | 7.63834i | −0.317438 | + | 0.549820i | −0.979953 | − | 0.199230i | \(-0.936156\pi\) |
0.662514 | + | 0.749049i | \(0.269489\pi\) | |||||||
\(194\) | 20.2754 | + | 4.30966i | 1.45569 | + | 0.309415i | ||||
\(195\) | 14.0495 | + | 1.13461i | 1.00611 | + | 0.0812509i | ||||
\(196\) | −42.6658 | + | 9.06889i | −3.04755 | + | 0.647778i | ||||
\(197\) | 1.26374 | − | 3.88941i | 0.0900381 | − | 0.277109i | −0.895891 | − | 0.444274i | \(-0.853462\pi\) |
0.985929 | + | 0.167166i | \(0.0534615\pi\) | |||||||
\(198\) | −10.6126 | + | 5.52240i | −0.754207 | + | 0.392460i | ||||
\(199\) | −8.92440 | −0.632634 | −0.316317 | − | 0.948654i | \(-0.602446\pi\) | ||||
−0.316317 | + | 0.948654i | \(0.602446\pi\) | |||||||
\(200\) | 4.33570 | + | 1.99647i | 0.306580 | + | 0.141172i | ||||
\(201\) | 17.2791 | − | 8.33271i | 1.21877 | − | 0.587744i | ||||
\(202\) | −2.77096 | − | 26.3639i | −0.194964 | − | 1.85496i | ||||
\(203\) | 5.72844 | + | 6.36208i | 0.402058 | + | 0.446531i | ||||
\(204\) | −2.39366 | − | 17.5990i | −0.167590 | − | 1.23218i | ||||
\(205\) | −6.14197 | − | 5.60100i | −0.428974 | − | 0.391191i | ||||
\(206\) | −0.763456 | − | 2.34968i | −0.0531925 | − | 0.163710i | ||||
\(207\) | −7.32195 | − | 1.09549i | −0.508911 | − | 0.0761418i | ||||
\(208\) | −3.25070 | − | 10.0046i | −0.225395 | − | 0.693696i | ||||
\(209\) | 0.0518173 | − | 0.493009i | 0.00358428 | − | 0.0341021i | ||||
\(210\) | −15.6467 | + | 37.5573i | −1.07973 | + | 2.59170i | ||||
\(211\) | −0.623170 | − | 5.92907i | −0.0429008 | − | 0.408174i | −0.994807 | − | 0.101783i | \(-0.967545\pi\) |
0.951906 | − | 0.306391i | \(-0.0991215\pi\) | |||||||
\(212\) | −26.8245 | + | 11.9430i | −1.84231 | + | 0.820250i | ||||
\(213\) | 4.64407 | + | 12.9381i | 0.318207 | + | 0.886505i | ||||
\(214\) | 18.3171 | + | 8.15531i | 1.25213 | + | 0.557486i | ||||
\(215\) | 4.99831 | − | 6.78887i | 0.340882 | − | 0.462997i | ||||
\(216\) | −3.73033 | + | 3.26980i | −0.253817 | + | 0.222482i | ||||
\(217\) | −1.99777 | − | 6.14849i | −0.135617 | − | 0.417387i | ||||
\(218\) | −15.9641 | − | 27.6507i | −1.08123 | − | 1.87274i | ||||
\(219\) | 2.55140 | − | 8.75082i | 0.172408 | − | 0.591326i | ||||
\(220\) | −7.74551 | + | 6.88588i | −0.522202 | + | 0.464246i | ||||
\(221\) | −10.1824 | − | 11.3087i | −0.684944 | − | 0.760707i | ||||
\(222\) | −28.7894 | − | 11.7808i | −1.93222 | − | 0.790675i | ||||
\(223\) | 21.3624 | + | 9.51115i | 1.43053 | + | 0.636913i | 0.968287 | − | 0.249840i | \(-0.0803779\pi\) |
0.462244 | + | 0.886753i | \(0.347045\pi\) | |||||||
\(224\) | 39.8703 | 2.66394 | ||||||||
\(225\) | 8.11812 | + | 12.6133i | 0.541208 | + | 0.840889i | ||||
\(226\) | 29.1776 | 1.94086 | ||||||||
\(227\) | −6.71471 | − | 2.98958i | −0.445671 | − | 0.198426i | 0.171615 | − | 0.985164i | \(-0.445101\pi\) |
−0.617287 | + | 0.786738i | \(0.711768\pi\) | |||||||
\(228\) | −0.150160 | − | 1.10403i | −0.00994458 | − | 0.0731159i | ||||
\(229\) | −13.0836 | − | 14.5308i | −0.864590 | − | 0.960225i | 0.134940 | − | 0.990854i | \(-0.456916\pi\) |
−0.999531 | + | 0.0306288i | \(0.990249\pi\) | |||||||
\(230\) | −11.5875 | + | 1.14384i | −0.764058 | + | 0.0754229i | ||||
\(231\) | −11.2685 | − | 11.7731i | −0.741412 | − | 0.774615i | ||||
\(232\) | 0.820804 | + | 1.42167i | 0.0538884 | + | 0.0933375i | ||||
\(233\) | −1.01109 | − | 3.11182i | −0.0662389 | − | 0.203862i | 0.912459 | − | 0.409168i | \(-0.134181\pi\) |
−0.978698 | + | 0.205306i | \(0.934181\pi\) | |||||||
\(234\) | −5.77192 | + | 22.3034i | −0.377322 | + | 1.45802i | ||||
\(235\) | 3.46483 | + | 4.83292i | 0.226021 | + | 0.315265i | ||||
\(236\) | 24.7950 | + | 11.0394i | 1.61402 | + | 0.718607i | ||||
\(237\) | 6.10970 | − | 7.21588i | 0.396867 | − | 0.468722i | ||||
\(238\) | 40.1277 | − | 17.8660i | 2.60109 | − | 1.15808i | ||||
\(239\) | 1.07690 | + | 10.2461i | 0.0696591 | + | 0.662762i | 0.972518 | + | 0.232826i | \(0.0747973\pi\) |
−0.902859 | + | 0.429936i | \(0.858536\pi\) | |||||||
\(240\) | 6.35957 | − | 9.21286i | 0.410509 | − | 0.594688i | ||||
\(241\) | 1.30227 | − | 12.3903i | 0.0838865 | − | 0.798127i | −0.869003 | − | 0.494808i | \(-0.835239\pi\) |
0.952889 | − | 0.303319i | \(-0.0980948\pi\) | |||||||
\(242\) | 4.84362 | + | 14.9071i | 0.311359 | + | 0.958266i | ||||
\(243\) | −15.4080 | + | 2.36511i | −0.988423 | + | 0.151722i | ||||
\(244\) | 4.69323 | + | 14.4443i | 0.300453 | + | 0.924700i | ||||
\(245\) | −39.5258 | − | 4.40726i | −2.52521 | − | 0.281570i | ||||
\(246\) | 10.7431 | − | 8.31682i | 0.684957 | − | 0.530261i | ||||
\(247\) | −0.638766 | − | 0.709421i | −0.0406437 | − | 0.0451394i | ||||
\(248\) | −0.129581 | − | 1.23288i | −0.00822839 | − | 0.0782879i | ||||
\(249\) | −0.598804 | + | 8.04903i | −0.0379477 | + | 0.510087i | ||||
\(250\) | 17.2291 | + | 16.1155i | 1.08967 | + | 1.01923i | ||||
\(251\) | −9.41731 | −0.594415 | −0.297208 | − | 0.954813i | \(-0.596055\pi\) | ||||
−0.297208 | + | 0.954813i | \(0.596055\pi\) | |||||||
\(252\) | −30.8891 | − | 19.6856i | −1.94583 | − | 1.24007i | ||||
\(253\) | 1.44123 | − | 4.43565i | 0.0906093 | − | 0.278867i | ||||
\(254\) | 41.5715 | − | 8.83629i | 2.60843 | − | 0.554438i | ||||
\(255\) | 2.98367 | − | 15.9169i | 0.186845 | − | 0.996755i | ||||
\(256\) | −6.38925 | − | 1.35808i | −0.399328 | − | 0.0848799i | ||||
\(257\) | 14.0470 | − | 24.3301i | 0.876226 | − | 1.51767i | 0.0207755 | − | 0.999784i | \(-0.493386\pi\) |
0.855451 | − | 0.517884i | \(-0.173280\pi\) | |||||||
\(258\) | 9.52766 | + | 9.95434i | 0.593166 | + | 0.619730i | ||||
\(259\) | 4.42926 | − | 42.1415i | 0.275221 | − | 2.61855i | ||||
\(260\) | −0.126231 | + | 19.9572i | −0.00782849 | + | 1.23770i | ||||
\(261\) | −0.225859 | + | 5.15379i | −0.0139803 | + | 0.319012i | ||||
\(262\) | −29.6682 | − | 21.5552i | −1.83291 | − | 1.33169i | ||||
\(263\) | 1.78757 | − | 17.0076i | 0.110226 | − | 1.04874i | −0.789939 | − | 0.613186i | \(-0.789888\pi\) |
0.900165 | − | 0.435549i | \(-0.143446\pi\) | |||||||
\(264\) | −1.64419 | − | 2.65746i | −0.101193 | − | 0.163555i | ||||
\(265\) | −26.6431 | + | 2.63003i | −1.63667 | + | 0.161562i | ||||
\(266\) | 2.51730 | − | 1.12077i | 0.154345 | − | 0.0687190i | ||||
\(267\) | 0.171994 | − | 0.589905i | 0.0105258 | − | 0.0361016i | ||||
\(268\) | 13.5809 | + | 23.5229i | 0.829588 | + | 1.43689i | ||||
\(269\) | 3.72187 | + | 11.4547i | 0.226926 | + | 0.698407i | 0.998090 | + | 0.0617706i | \(0.0196747\pi\) |
−0.771164 | + | 0.636636i | \(0.780325\pi\) | |||||||
\(270\) | −22.5890 | + | 9.52971i | −1.37472 | + | 0.579960i | ||||
\(271\) | 0.394717 | − | 1.21481i | 0.0239773 | − | 0.0737946i | −0.938352 | − | 0.345682i | \(-0.887648\pi\) |
0.962329 | + | 0.271887i | \(0.0876477\pi\) | |||||||
\(272\) | −11.8218 | + | 2.51280i | −0.716800 | + | 0.152361i | ||||
\(273\) | −31.3683 | + | 0.955836i | −1.89849 | + | 0.0578498i | ||||
\(274\) | −11.4127 | + | 19.7674i | −0.689466 | + | 1.19419i | ||||
\(275\) | −8.68046 | + | 3.73394i | −0.523451 | + | 0.225165i | ||||
\(276\) | 0.777700 | − | 10.4537i | 0.0468120 | − | 0.629240i | ||||
\(277\) | 7.83204 | + | 3.48705i | 0.470581 | + | 0.209516i | 0.628305 | − | 0.777967i | \(-0.283749\pi\) |
−0.157724 | + | 0.987483i | \(0.550416\pi\) | |||||||
\(278\) | −7.78653 | + | 23.9645i | −0.467005 | + | 1.43729i | ||||
\(279\) | 1.73880 | − | 3.48607i | 0.104099 | − | 0.208706i | ||||
\(280\) | −10.0865 | − | 3.34797i | −0.602783 | − | 0.200080i | ||||
\(281\) | −3.24282 | + | 3.60152i | −0.193450 | + | 0.214848i | −0.832065 | − | 0.554678i | \(-0.812841\pi\) |
0.638614 | + | 0.769527i | \(0.279508\pi\) | |||||||
\(282\) | −8.75467 | + | 4.22188i | −0.521333 | + | 0.251409i | ||||
\(283\) | −17.1129 | − | 3.63746i | −1.01726 | − | 0.216225i | −0.331036 | − | 0.943618i | \(-0.607398\pi\) |
−0.686221 | + | 0.727393i | \(0.740732\pi\) | |||||||
\(284\) | −17.7809 | + | 7.91656i | −1.05510 | + | 0.469761i | ||||
\(285\) | 0.187172 | − | 0.998502i | 0.0110871 | − | 0.0591462i | ||||
\(286\) | −13.2585 | − | 5.90307i | −0.783992 | − | 0.349056i | ||||
\(287\) | 14.9727 | + | 10.8783i | 0.883809 | + | 0.642125i | ||||
\(288\) | 17.1332 | + | 16.8423i | 1.00959 | + | 0.992440i | ||||
\(289\) | −0.391023 | + | 0.284095i | −0.0230013 | + | 0.0167115i | ||||
\(290\) | 1.63665 | + | 7.94666i | 0.0961075 | + | 0.466644i | ||||
\(291\) | −10.9947 | + | 12.9853i | −0.644521 | + | 0.761214i | ||||
\(292\) | 12.6242 | + | 2.68336i | 0.738778 | + | 0.157032i | ||||
\(293\) | −4.20354 | + | 7.28075i | −0.245574 | + | 0.425346i | −0.962293 | − | 0.272016i | \(-0.912310\pi\) |
0.716719 | + | 0.697362i | \(0.245643\pi\) | |||||||
\(294\) | 18.1950 | − | 62.4053i | 1.06115 | − | 3.63955i | ||||
\(295\) | 18.2855 | + | 16.6750i | 1.06462 | + | 0.970855i | ||||
\(296\) | 2.51086 | − | 7.72763i | 0.145941 | − | 0.449159i | ||||
\(297\) | 0.130937 | − | 9.81932i | 0.00759771 | − | 0.569774i | ||||
\(298\) | −20.2200 | + | 14.6907i | −1.17131 | + | 0.851009i | ||||
\(299\) | −4.49067 | − | 7.77806i | −0.259702 | − | 0.449817i | ||||
\(300\) | −16.9573 | + | 12.7878i | −0.979033 | + | 0.738305i | ||||
\(301\) | −9.38506 | + | 16.2554i | −0.540946 | + | 0.936946i | ||||
\(302\) | 0.944201 | + | 8.98347i | 0.0543326 | + | 0.516940i | ||||
\(303\) | 20.1391 | + | 8.24102i | 1.15696 | + | 0.473434i | ||||
\(304\) | −0.741606 | + | 0.157633i | −0.0425340 | + | 0.00904089i | ||||
\(305\) | −0.0875858 | + | 13.8474i | −0.00501515 | + | 0.792902i | ||||
\(306\) | 24.7909 | + | 9.27355i | 1.41720 | + | 0.530133i | ||||
\(307\) | 3.03287 | 0.173095 | 0.0865474 | − | 0.996248i | \(-0.472417\pi\) | ||||
0.0865474 | + | 0.996248i | \(0.472417\pi\) | |||||||
\(308\) | 15.4400 | − | 17.1479i | 0.879778 | − | 0.977092i | ||||
\(309\) | 1.99559 | + | 0.361028i | 0.113525 | + | 0.0205382i | ||||
\(310\) | 1.31174 | − | 5.98486i | 0.0745018 | − | 0.339917i | ||||
\(311\) | −0.855920 | − | 8.14354i | −0.0485348 | − | 0.461778i | −0.991616 | − | 0.129216i | \(-0.958754\pi\) |
0.943082 | − | 0.332561i | \(-0.107913\pi\) | |||||||
\(312\) | −5.92165 | − | 1.07131i | −0.335247 | − | 0.0606507i | ||||
\(313\) | −0.467162 | + | 4.44475i | −0.0264056 | + | 0.251232i | 0.973354 | + | 0.229307i | \(0.0736461\pi\) |
−0.999760 | + | 0.0219248i | \(0.993021\pi\) | |||||||
\(314\) | 26.5263 | − | 19.2725i | 1.49697 | − | 1.08761i | ||||
\(315\) | −21.0756 | − | 25.9074i | −1.18747 | − | 1.45971i | ||||
\(316\) | 10.8307 | + | 7.86894i | 0.609273 | + | 0.442663i | ||||
\(317\) | 3.49076 | − | 3.87688i | 0.196061 | − | 0.217747i | −0.637096 | − | 0.770784i | \(-0.719865\pi\) |
0.833157 | + | 0.553037i | \(0.186531\pi\) | |||||||
\(318\) | 3.24644 | − | 43.6381i | 0.182051 | − | 2.44710i | ||||
\(319\) | −3.17881 | − | 0.675677i | −0.177979 | − | 0.0378306i | ||||
\(320\) | 21.4498 | + | 12.5656i | 1.19908 | + | 0.702437i | ||||
\(321\) | −13.0144 | + | 10.0751i | −0.726391 | + | 0.562337i | ||||
\(322\) | 25.3582 | − | 5.39006i | 1.41316 | − | 0.300376i | ||||
\(323\) | −0.887304 | + | 0.644664i | −0.0493709 | + | 0.0358701i | ||||
\(324\) | −4.95809 | − | 21.5078i | −0.275450 | − | 1.19488i | ||||
\(325\) | −5.84163 | + | 17.2338i | −0.324035 | + | 0.955959i | ||||
\(326\) | −17.2549 | − | 29.8864i | −0.955661 | − | 1.65525i | ||||
\(327\) | 26.1961 | − | 0.798231i | 1.44865 | − | 0.0441423i | ||||
\(328\) | 2.37463 | + | 2.63730i | 0.131117 | + | 0.145620i | ||||
\(329\) | −8.85929 | − | 9.83924i | −0.488428 | − | 0.542455i | ||||
\(330\) | −3.57483 | − | 15.0254i | −0.196788 | − | 0.827120i | ||||
\(331\) | −9.81781 | + | 10.9038i | −0.539635 | + | 0.599326i | −0.949867 | − | 0.312656i | \(-0.898781\pi\) |
0.410231 | + | 0.911982i | \(0.365448\pi\) | |||||||
\(332\) | −11.4282 | −0.627204 | ||||||||
\(333\) | 19.7051 | − | 16.2382i | 1.07983 | − | 0.889850i | ||||
\(334\) | 21.3282 | + | 15.4958i | 1.16703 | + | 0.847894i | ||||
\(335\) | 4.99574 | + | 24.2565i | 0.272946 | + | 1.32527i | ||||
\(336\) | −11.7991 | + | 21.9550i | −0.643696 | + | 1.19774i | ||||
\(337\) | 30.0723 | − | 13.3891i | 1.63814 | − | 0.729348i | 0.638940 | − | 0.769257i | \(-0.279373\pi\) |
0.999203 | + | 0.0399086i | \(0.0127067\pi\) | |||||||
\(338\) | −0.472522 | + | 0.210380i | −0.0257018 | + | 0.0114432i | ||||
\(339\) | −11.3379 | + | 21.0967i | −0.615788 | + | 1.14581i | ||||
\(340\) | 22.7882 | + | 2.54096i | 1.23586 | + | 0.137803i | ||||
\(341\) | 1.98543 | + | 1.44250i | 0.107517 | + | 0.0781157i | ||||
\(342\) | 1.55519 | + | 0.581750i | 0.0840950 | + | 0.0314574i | ||||
\(343\) | 53.6989 | 2.89947 | ||||||||
\(344\) | −2.40836 | + | 2.67476i | −0.129850 | + | 0.144213i | ||||
\(345\) | 3.67565 | − | 8.82277i | 0.197890 | − | 0.475002i | ||||
\(346\) | −2.18000 | − | 2.42113i | −0.117197 | − | 0.130161i | ||||
\(347\) | −1.11038 | − | 1.23320i | −0.0596083 | − | 0.0662017i | 0.712603 | − | 0.701567i | \(-0.247516\pi\) |
−0.772211 | + | 0.635366i | \(0.780849\pi\) | |||||||
\(348\) | −7.30092 | + | 0.222469i | −0.391370 | + | 0.0119256i | ||||
\(349\) | 5.58324 | + | 9.67045i | 0.298864 | + | 0.517647i | 0.975876 | − | 0.218324i | \(-0.0700590\pi\) |
−0.677012 | + | 0.735972i | \(0.736726\pi\) | |||||||
\(350\) | −42.1002 | − | 31.4089i | −2.25035 | − | 1.67888i | ||||
\(351\) | −13.8835 | − | 12.8401i | −0.741046 | − | 0.685351i | ||||
\(352\) | −12.2445 | + | 8.89615i | −0.652634 | + | 0.474167i | ||||
\(353\) | −5.07342 | + | 1.07839i | −0.270031 | + | 0.0573969i | −0.340937 | − | 0.940086i | \(-0.610744\pi\) |
0.0709060 | + | 0.997483i | \(0.477411\pi\) | |||||||
\(354\) | −31.9838 | + | 24.7604i | −1.69992 | + | 1.31600i | ||||
\(355\) | −17.6606 | + | 1.74334i | −0.937329 | + | 0.0925271i | ||||
\(356\) | 0.851017 | + | 0.180889i | 0.0451038 | + | 0.00958711i | ||||
\(357\) | −2.67497 | + | 35.9565i | −0.141574 | + | 1.90302i | ||||
\(358\) | −22.5292 | + | 25.0212i | −1.19071 | + | 1.32241i | ||||
\(359\) | 6.89179 | + | 5.00718i | 0.363735 | + | 0.264269i | 0.754608 | − | 0.656176i | \(-0.227827\pi\) |
−0.390873 | + | 0.920445i | \(0.627827\pi\) | |||||||
\(360\) | −2.92014 | − | 5.69951i | −0.153905 | − | 0.300390i | ||||
\(361\) | 15.3157 | − | 11.1275i | 0.806087 | − | 0.585657i | ||||
\(362\) | 2.82759 | − | 26.9028i | 0.148615 | − | 1.41398i | ||||
\(363\) | −12.6607 | − | 2.29048i | −0.664512 | − | 0.120219i | ||||
\(364\) | −4.64475 | − | 44.1918i | −0.243451 | − | 2.31628i | ||||
\(365\) | 10.1537 | + | 5.94816i | 0.531467 | + | 0.311341i | ||||
\(366\) | −22.2720 | − | 4.02930i | −1.16418 | − | 0.210615i | ||||
\(367\) | 5.18988 | − | 5.76394i | 0.270909 | − | 0.300875i | −0.592304 | − | 0.805715i | \(-0.701782\pi\) |
0.863213 | + | 0.504839i | \(0.168448\pi\) | |||||||
\(368\) | −7.13311 | −0.371839 | ||||||||
\(369\) | 1.83885 | + | 10.9995i | 0.0957268 | + | 0.572613i | ||||
\(370\) | 23.8095 | − | 32.3389i | 1.23780 | − | 1.68122i | ||||
\(371\) | 58.3059 | − | 12.3933i | 3.02709 | − | 0.643429i | ||||
\(372\) | 5.10501 | + | 2.08900i | 0.264683 | + | 0.108310i | ||||
\(373\) | 2.12940 | + | 20.2599i | 0.110256 | + | 1.04902i | 0.900092 | + | 0.435700i | \(0.143499\pi\) |
−0.789835 | + | 0.613319i | \(0.789834\pi\) | |||||||
\(374\) | −8.33717 | + | 14.4404i | −0.431105 | + | 0.746695i | ||||
\(375\) | −18.3472 | + | 6.19525i | −0.947444 | + | 0.319921i | ||||
\(376\) | −1.26941 | − | 2.19868i | −0.0654648 | − | 0.113388i | ||||
\(377\) | −5.06300 | + | 3.67849i | −0.260758 | + | 0.189452i | ||||
\(378\) | 47.6328 | − | 26.6604i | 2.44997 | − | 1.37126i | ||||
\(379\) | 2.82631 | − | 8.69848i | 0.145178 | − | 0.446811i | −0.851856 | − | 0.523776i | \(-0.824523\pi\) |
0.997034 | + | 0.0769649i | \(0.0245229\pi\) | |||||||
\(380\) | 1.42955 | + | 0.159400i | 0.0733346 | + | 0.00817705i | ||||
\(381\) | −9.76488 | + | 33.4917i | −0.500270 | + | 1.71583i | ||||
\(382\) | 4.47390 | − | 7.74903i | 0.228905 | − | 0.396475i | ||||
\(383\) | 2.10397 | + | 0.447212i | 0.107508 | + | 0.0228514i | 0.261351 | − | 0.965244i | \(-0.415832\pi\) |
−0.153844 | + | 0.988095i | \(0.549165\pi\) | |||||||
\(384\) | −8.32911 | + | 9.83712i | −0.425043 | + | 0.501999i | ||||
\(385\) | 18.2865 | − | 10.4041i | 0.931968 | − | 0.530241i | ||||
\(386\) | 15.0565 | − | 10.9392i | 0.766356 | − | 0.556790i | ||||
\(387\) | −10.8997 | + | 3.02085i | −0.554063 | + | 0.153558i | ||||
\(388\) | −19.4903 | − | 14.1606i | −0.989472 | − | 0.718893i | ||||
\(389\) | −30.6960 | − | 13.6668i | −1.55635 | − | 0.692932i | −0.565112 | − | 0.825014i | \(-0.691167\pi\) |
−0.991239 | + | 0.132082i | \(0.957834\pi\) | |||||||
\(390\) | −26.1088 | − | 14.2451i | −1.32207 | − | 0.721328i | ||||
\(391\) | −9.42660 | + | 4.19699i | −0.476723 | + | 0.212251i | ||||
\(392\) | 16.6085 | + | 3.53025i | 0.838856 | + | 0.178304i | ||||
\(393\) | 27.1139 | − | 13.0755i | 1.36772 | − | 0.659571i | ||||
\(394\) | −5.77413 | + | 6.41282i | −0.290896 | + | 0.323073i | ||||
\(395\) | 7.11212 | + | 9.92034i | 0.357850 | + | 0.499147i | ||||
\(396\) | 13.8787 | − | 0.846593i | 0.697431 | − | 0.0425429i | ||||
\(397\) | 0.444711 | − | 1.36868i | 0.0223194 | − | 0.0686921i | −0.939276 | − | 0.343161i | \(-0.888502\pi\) |
0.961596 | + | 0.274469i | \(0.0885022\pi\) | |||||||
\(398\) | 17.2031 | + | 7.65933i | 0.862315 | + | 0.383928i | ||||
\(399\) | −0.167807 | + | 2.25563i | −0.00840084 | + | 0.112923i | ||||
\(400\) | 9.53383 | + | 10.8616i | 0.476691 | + | 0.543080i | ||||
\(401\) | −4.16680 | + | 7.21711i | −0.208080 | + | 0.360405i | −0.951110 | − | 0.308853i | \(-0.900055\pi\) |
0.743030 | + | 0.669259i | \(0.233388\pi\) | |||||||
\(402\) | −40.4596 | + | 1.23286i | −2.01794 | + | 0.0614895i | ||||
\(403\) | 4.62266 | − | 0.982576i | 0.230271 | − | 0.0489456i | ||||
\(404\) | −9.52086 | + | 29.3022i | −0.473680 | + | 1.45784i | ||||
\(405\) | 1.88726 | − | 20.0359i | 0.0937785 | − | 0.995593i | ||||
\(406\) | −5.58221 | − | 17.1803i | −0.277041 | − | 0.852643i | ||||
\(407\) | 8.04268 | + | 13.9303i | 0.398661 | + | 0.690501i | ||||
\(408\) | −1.93523 | + | 6.63748i | −0.0958084 | + | 0.328604i | ||||
\(409\) | −16.2678 | + | 7.24289i | −0.804390 | + | 0.358138i | −0.767392 | − | 0.641178i | \(-0.778446\pi\) |
−0.0369979 | + | 0.999315i | \(0.511779\pi\) | |||||||
\(410\) | 7.03254 | + | 16.0681i | 0.347313 | + | 0.793547i | ||||
\(411\) | −9.85793 | − | 15.9331i | −0.486256 | − | 0.785923i | ||||
\(412\) | −0.300147 | + | 2.85571i | −0.0147872 | + | 0.140691i | ||||
\(413\) | −44.5758 | − | 32.3862i | −2.19343 | − | 1.59362i | ||||
\(414\) | 13.1740 | + | 8.39575i | 0.647465 | + | 0.412629i | ||||
\(415\) | −9.88942 | − | 3.28256i | −0.485453 | − | 0.161135i | ||||
\(416\) | −3.04655 | + | 28.9860i | −0.149369 | + | 1.42115i | ||||
\(417\) | −14.3017 | − | 14.9422i | −0.700357 | − | 0.731721i | ||||
\(418\) | −0.523009 | + | 0.905878i | −0.0255812 | + | 0.0443079i | ||||
\(419\) | −3.08273 | − | 0.655255i | −0.150601 | − | 0.0320113i | 0.131994 | − | 0.991251i | \(-0.457862\pi\) |
−0.282595 | + | 0.959239i | \(0.591195\pi\) | |||||||
\(420\) | 34.3675 | − | 32.4803i | 1.67696 | − | 1.58488i | ||||
\(421\) | −9.64184 | + | 2.04944i | −0.469915 | + | 0.0998834i | −0.436782 | − | 0.899568i | \(-0.643882\pi\) |
−0.0331329 | + | 0.999451i | \(0.510548\pi\) | |||||||
\(422\) | −3.88734 | + | 11.9640i | −0.189233 | + | 0.582399i | ||||
\(423\) | 0.349301 | − | 7.97057i | 0.0169836 | − | 0.387542i | ||||
\(424\) | 11.4302 | 0.555097 | ||||||||
\(425\) | 18.9900 | + | 8.74437i | 0.921149 | + | 0.424164i | ||||
\(426\) | 2.15193 | − | 28.9259i | 0.104261 | − | 1.40147i | ||||
\(427\) | −3.22279 | − | 30.6628i | −0.155961 | − | 1.48387i | ||||
\(428\) | −15.5932 | − | 17.3180i | −0.753727 | − | 0.837098i | ||||
\(429\) | 9.42020 | − | 7.29267i | 0.454811 | − | 0.352094i | ||||
\(430\) | −15.4615 | + | 8.79679i | −0.745620 | + | 0.424219i | ||||
\(431\) | 1.26581 | + | 3.89577i | 0.0609720 | + | 0.187653i | 0.976903 | − | 0.213683i | \(-0.0685460\pi\) |
−0.915931 | + | 0.401336i | \(0.868546\pi\) | |||||||
\(432\) | −14.3448 | + | 4.45033i | −0.690163 | + | 0.214117i | ||||
\(433\) | −5.45724 | − | 16.7957i | −0.262258 | − | 0.807148i | −0.992312 | − | 0.123758i | \(-0.960505\pi\) |
0.730054 | − | 0.683389i | \(-0.239495\pi\) | |||||||
\(434\) | −1.42592 | + | 13.5667i | −0.0684464 | + | 0.651224i | ||||
\(435\) | −6.38177 | − | 1.90456i | −0.305982 | − | 0.0913165i | ||||
\(436\) | 3.87889 | + | 36.9052i | 0.185765 | + | 1.76744i | ||||
\(437\) | −0.591351 | + | 0.263286i | −0.0282882 | + | 0.0125947i | ||||
\(438\) | −12.4286 | + | 14.6788i | −0.593860 | + | 0.701380i | ||||
\(439\) | −32.9032 | − | 14.6495i | −1.57039 | − | 0.699181i | −0.577296 | − | 0.816535i | \(-0.695892\pi\) |
−0.993090 | + | 0.117355i | \(0.962559\pi\) | |||||||
\(440\) | 3.84467 | − | 1.22238i | 0.183288 | − | 0.0582747i | ||||
\(441\) | 38.0516 | + | 37.4054i | 1.81198 | + | 1.78121i | ||||
\(442\) | 9.92250 | + | 30.5383i | 0.471965 | + | 1.45256i | ||||
\(443\) | 13.2256 | + | 22.9075i | 0.628368 | + | 1.08837i | 0.987879 | + | 0.155225i | \(0.0496103\pi\) |
−0.359511 | + | 0.933141i | \(0.617056\pi\) | |||||||
\(444\) | 24.9984 | + | 26.1180i | 1.18637 | + | 1.23950i | ||||
\(445\) | 0.684472 | + | 0.400974i | 0.0324471 | + | 0.0190080i | ||||
\(446\) | −33.0163 | − | 36.6684i | −1.56337 | − | 1.73630i | ||||
\(447\) | −2.76491 | − | 20.3285i | −0.130776 | − | 0.961505i | ||||
\(448\) | −50.5636 | − | 22.5124i | −2.38891 | − | 1.06361i | ||||
\(449\) | 10.4625 | 0.493754 | 0.246877 | − | 0.969047i | \(-0.420596\pi\) | ||||
0.246877 | + | 0.969047i | \(0.420596\pi\) | |||||||
\(450\) | −4.82356 | − | 31.2815i | −0.227385 | − | 1.47462i | ||||
\(451\) | −7.02549 | −0.330817 | ||||||||
\(452\) | −30.9797 | − | 13.7930i | −1.45716 | − | 0.648770i | ||||
\(453\) | −6.86235 | − | 2.80811i | −0.322421 | − | 0.131937i | ||||
\(454\) | 10.3778 | + | 11.5258i | 0.487056 | + | 0.540930i | ||||
\(455\) | 8.67404 | − | 39.5756i | 0.406645 | − | 1.85533i | ||||
\(456\) | −0.121402 | + | 0.416384i | −0.00568515 | + | 0.0194990i | ||||
\(457\) | 9.24720 | + | 16.0166i | 0.432566 | + | 0.749226i | 0.997093 | − | 0.0761884i | \(-0.0242750\pi\) |
−0.564528 | + | 0.825414i | \(0.690942\pi\) | |||||||
\(458\) | 12.7496 | + | 39.2394i | 0.595752 | + | 1.83354i | ||||
\(459\) | −16.3385 | + | 14.3214i | −0.762616 | + | 0.668467i | ||||
\(460\) | 12.8439 | + | 4.26325i | 0.598851 | + | 0.198775i | ||||
\(461\) | 5.84042 | + | 2.60032i | 0.272015 | + | 0.121109i | 0.538211 | − | 0.842810i | \(-0.319100\pi\) |
−0.266196 | + | 0.963919i | \(0.585767\pi\) | |||||||
\(462\) | 11.6175 | + | 32.3656i | 0.540494 | + | 1.50579i | ||||
\(463\) | 18.8682 | − | 8.40068i | 0.876882 | − | 0.390413i | 0.0816088 | − | 0.996664i | \(-0.473994\pi\) |
0.795273 | + | 0.606252i | \(0.207328\pi\) | |||||||
\(464\) | 0.519545 | + | 4.94314i | 0.0241193 | + | 0.229479i | ||||
\(465\) | 3.81760 | + | 3.27405i | 0.177037 | + | 0.151831i | ||||
\(466\) | −0.721675 | + | 6.86628i | −0.0334309 | + | 0.318074i | ||||
\(467\) | 6.17441 | + | 19.0029i | 0.285718 | + | 0.879349i | 0.986183 | + | 0.165662i | \(0.0529760\pi\) |
−0.700465 | + | 0.713687i | \(0.747024\pi\) | |||||||
\(468\) | 16.6718 | − | 20.9524i | 0.770656 | − | 0.968525i | ||||
\(469\) | −17.0392 | − | 52.4413i | −0.786798 | − | 2.42152i | ||||
\(470\) | −2.53115 | − | 12.2899i | −0.116753 | − | 0.566889i | ||||
\(471\) | 3.62724 | + | 26.6686i | 0.167134 | + | 1.22883i | ||||
\(472\) | −7.06962 | − | 7.85161i | −0.325406 | − | 0.361399i | ||||
\(473\) | −0.744794 | − | 7.08624i | −0.0342457 | − | 0.325826i | ||||
\(474\) | −17.9704 | + | 8.66607i | −0.825406 | + | 0.398046i | ||||
\(475\) | 1.19128 | + | 0.548554i | 0.0546598 | + | 0.0251694i | ||||
\(476\) | −51.0519 | −2.33996 | ||||||||
\(477\) | 30.2908 | + | 19.3043i | 1.38692 | + | 0.883882i | ||||
\(478\) | 6.71774 | − | 20.6751i | 0.307262 | − | 0.945656i | ||||
\(479\) | −9.35664 | + | 1.98882i | −0.427516 | + | 0.0908713i | −0.416644 | − | 0.909070i | \(-0.636794\pi\) |
−0.0108716 | + | 0.999941i | \(0.503461\pi\) | |||||||
\(480\) | −26.4789 | + | 16.1520i | −1.20859 | + | 0.737233i | ||||
\(481\) | 30.2988 | + | 6.44020i | 1.38151 | + | 0.293648i | ||||
\(482\) | −13.1442 | + | 22.7664i | −0.598702 | + | 1.03698i | ||||
\(483\) | −5.95649 | + | 20.4296i | −0.271030 | + | 0.929580i | ||||
\(484\) | 1.90423 | − | 18.1175i | 0.0865560 | − | 0.823525i | ||||
\(485\) | −12.7986 | − | 17.8522i | −0.581155 | − | 0.810625i | ||||
\(486\) | 31.7311 | + | 8.66474i | 1.43935 | + | 0.393041i | ||||
\(487\) | 7.67079 | + | 5.57316i | 0.347597 | + | 0.252544i | 0.747860 | − | 0.663856i | \(-0.231081\pi\) |
−0.400263 | + | 0.916400i | \(0.631081\pi\) | |||||||
\(488\) | 0.617981 | − | 5.87969i | 0.0279747 | − | 0.266161i | ||||
\(489\) | 28.3141 | − | 0.862771i | 1.28041 | − | 0.0390159i | ||||
\(490\) | 72.4095 | + | 42.4185i | 3.27113 | + | 1.91627i | ||||
\(491\) | −14.6838 | + | 6.53765i | −0.662671 | + | 0.295040i | −0.710377 | − | 0.703821i | \(-0.751476\pi\) |
0.0477061 | + | 0.998861i | \(0.484809\pi\) | |||||||
\(492\) | −15.3383 | + | 3.75193i | −0.691502 | + | 0.169150i | ||||
\(493\) | 3.59505 | + | 6.22680i | 0.161913 | + | 0.280441i | ||||
\(494\) | 0.622460 | + | 1.91573i | 0.0280058 | + | 0.0861930i | ||||
\(495\) | 12.2531 | + | 3.25383i | 0.550738 | + | 0.146249i | ||||
\(496\) | 1.15987 | − | 3.56970i | 0.0520795 | − | 0.160284i | ||||
\(497\) | 38.6487 | − | 8.21503i | 1.73363 | − | 0.368495i | ||||
\(498\) | 8.06234 | − | 15.0018i | 0.361282 | − | 0.672247i | ||||
\(499\) | 6.24043 | − | 10.8087i | 0.279360 | − | 0.483866i | −0.691866 | − | 0.722026i | \(-0.743211\pi\) |
0.971226 | + | 0.238160i | \(0.0765443\pi\) | |||||||
\(500\) | −10.6750 | − | 25.2556i | −0.477402 | − | 1.12946i | ||||
\(501\) | −19.4919 | + | 9.39983i | −0.870835 | + | 0.419953i | ||||
\(502\) | 18.1533 | + | 8.08237i | 0.810221 | + | 0.360734i | ||||
\(503\) | −5.36522 | + | 16.5124i | −0.239223 | + | 0.736253i | 0.757310 | + | 0.653056i | \(0.226513\pi\) |
−0.996533 | + | 0.0831977i | \(0.973487\pi\) | |||||||
\(504\) | 7.86782 | + | 11.8912i | 0.350461 | + | 0.529675i | ||||
\(505\) | −16.6555 | + | 22.6220i | −0.741159 | + | 1.00667i | ||||
\(506\) | −6.58506 | + | 7.31345i | −0.292742 | + | 0.325123i | ||||
\(507\) | 0.0314990 | − | 0.423405i | 0.00139892 | − | 0.0188041i | ||||
\(508\) | −48.3162 | − | 10.2699i | −2.14369 | − | 0.455655i | ||||
\(509\) | 29.6289 | − | 13.1916i | 1.31328 | − | 0.584708i | 0.373860 | − | 0.927485i | \(-0.378034\pi\) |
0.939417 | + | 0.342777i | \(0.111368\pi\) | |||||||
\(510\) | −19.4121 | + | 28.1215i | −0.859582 | + | 1.24524i | ||||
\(511\) | −23.9353 | − | 10.6567i | −1.05883 | − | 0.471423i | ||||
\(512\) | 23.1918 | + | 16.8499i | 1.02494 | + | 0.744666i | ||||
\(513\) | −1.02495 | + | 0.898415i | −0.0452526 | + | 0.0396660i | ||||
\(514\) | −47.9589 | + | 34.8442i | −2.11537 | + | 1.53691i | ||||
\(515\) | −1.07999 | + | 2.38498i | −0.0475900 | + | 0.105095i | ||||
\(516\) | −5.41043 | − | 15.0731i | −0.238181 | − | 0.663558i | ||||
\(517\) | 4.91617 | + | 1.04496i | 0.216213 | + | 0.0459575i | ||||
\(518\) | −44.7059 | + | 77.4328i | −1.96426 | + | 3.40220i | ||||
\(519\) | 2.59769 | − | 0.635428i | 0.114026 | − | 0.0278922i | ||||
\(520\) | 3.20473 | − | 7.07713i | 0.140537 | − | 0.310352i | ||||
\(521\) | 8.34413 | − | 25.6806i | 0.365563 | − | 1.12509i | −0.584065 | − | 0.811707i | \(-0.698539\pi\) |
0.949628 | − | 0.313380i | \(-0.101461\pi\) | |||||||
\(522\) | 4.85860 | − | 9.74087i | 0.212655 | − | 0.426346i | ||||
\(523\) | −3.95871 | + | 2.87617i | −0.173102 | + | 0.125766i | −0.670963 | − | 0.741491i | \(-0.734119\pi\) |
0.497861 | + | 0.867257i | \(0.334119\pi\) | |||||||
\(524\) | 21.3109 | + | 36.9115i | 0.930970 | + | 1.61249i | ||||
\(525\) | 39.0694 | − | 18.2354i | 1.70513 | − | 0.795860i | ||||
\(526\) | −18.0425 | + | 31.2506i | −0.786692 | + | 1.36259i | ||||
\(527\) | −0.567552 | − | 5.39990i | −0.0247230 | − | 0.235223i | ||||
\(528\) | −1.27514 | − | 9.37529i | −0.0554935 | − | 0.408007i | ||||
\(529\) | 16.5404 | − | 3.51576i | 0.719146 | − | 0.152859i | ||||
\(530\) | 53.6158 | + | 17.7965i | 2.32892 | + | 0.773031i | ||||
\(531\) | −5.47452 | − | 32.7472i | −0.237574 | − | 1.42111i | ||||
\(532\) | −3.20260 | −0.138850 | ||||||||
\(533\) | −9.05268 | + | 10.0540i | −0.392115 | + | 0.435488i | ||||
\(534\) | −0.837827 | + | 0.989518i | −0.0362563 | + | 0.0428206i | ||||
\(535\) | −8.51931 | − | 19.4651i | −0.368322 | − | 0.841550i | ||||
\(536\) | −1.10521 | − | 10.5154i | −0.0477379 | − | 0.454196i | ||||
\(537\) | −9.33703 | − | 26.0124i | −0.402923 | − | 1.12252i | ||||
\(538\) | 2.65651 | − | 25.2750i | 0.114530 | − | 1.08968i | ||||
\(539\) | −27.1941 | + | 19.7577i | −1.17133 | + | 0.851023i | ||||
\(540\) | 28.4891 | + | 0.560133i | 1.22598 | + | 0.0241043i | ||||
\(541\) | 25.4678 | + | 18.5035i | 1.09495 | + | 0.795526i | 0.980228 | − | 0.197872i | \(-0.0634030\pi\) |
0.114720 | + | 0.993398i | \(0.463403\pi\) | |||||||
\(542\) | −1.80348 | + | 2.00297i | −0.0774663 | + | 0.0860350i | ||||
\(543\) | 18.3532 | + | 12.4984i | 0.787609 | + | 0.536358i | ||||
\(544\) | 32.7538 | + | 6.96204i | 1.40431 | + | 0.298495i | ||||
\(545\) | −7.24381 | + | 33.0502i | −0.310291 | + | 1.41571i | ||||
\(546\) | 61.2875 | + | 25.0792i | 2.62286 | + | 1.07329i | ||||
\(547\) | −30.7463 | + | 6.53533i | −1.31462 | + | 0.279431i | −0.811279 | − | 0.584659i | \(-0.801228\pi\) |
−0.503339 | + | 0.864089i | \(0.667895\pi\) | |||||||
\(548\) | 21.4622 | − | 15.5932i | 0.916818 | − | 0.666107i | ||||
\(549\) | 11.5679 | − | 14.5379i | 0.493704 | − | 0.620464i | ||||
\(550\) | 19.9375 | + | 0.252222i | 0.850140 | + | 0.0107548i | ||||
\(551\) | 0.225525 | + | 0.390621i | 0.00960769 | + | 0.0166410i | ||||
\(552\) | −1.93170 | + | 3.59438i | −0.0822188 | + | 0.152987i | ||||
\(553\) | −18.1851 | − | 20.1966i | −0.773309 | − | 0.858847i | ||||
\(554\) | −12.1047 | − | 13.4436i | −0.514279 | − | 0.571165i | ||||
\(555\) | 14.1305 | + | 29.7816i | 0.599806 | + | 1.26416i | ||||
\(556\) | 19.5961 | − | 21.7637i | 0.831061 | − | 0.922987i | ||||
\(557\) | −30.0863 | −1.27480 | −0.637399 | − | 0.770534i | \(-0.719990\pi\) | ||||
−0.637399 | + | 0.770534i | \(0.719990\pi\) | |||||||
\(558\) | −6.34370 | + | 5.22761i | −0.268550 | + | 0.221303i | ||||
\(559\) | −11.1007 | − | 8.06511i | −0.469509 | − | 0.341118i | ||||
\(560\) | −23.7760 | − | 21.6819i | −1.00472 | − | 0.916227i | ||||
\(561\) | −7.20138 | − | 11.6394i | −0.304043 | − | 0.491417i | ||||
\(562\) | 9.34202 | − | 4.15933i | 0.394069 | − | 0.175451i | ||||
\(563\) | 30.5015 | − | 13.5802i | 1.28549 | − | 0.572336i | 0.353706 | − | 0.935357i | \(-0.384921\pi\) |
0.931781 | + | 0.363021i | \(0.118255\pi\) | |||||||
\(564\) | 11.2912 | − | 0.344058i | 0.475445 | − | 0.0144875i | ||||
\(565\) | −22.8465 | − | 20.8342i | −0.961160 | − | 0.876503i | ||||
\(566\) | 29.8659 | + | 21.6989i | 1.25536 | + | 0.912071i | ||||
\(567\) | 0.767425 | + | 44.8004i | 0.0322288 | + | 1.88144i | ||||
\(568\) | 7.57659 | 0.317907 | ||||||||
\(569\) | −2.34522 | + | 2.60463i | −0.0983167 | + | 0.109192i | −0.790295 | − | 0.612727i | \(-0.790073\pi\) |
0.691978 | + | 0.721918i | \(0.256739\pi\) | |||||||
\(570\) | −1.21776 | + | 1.76412i | −0.0510065 | + | 0.0738910i | ||||
\(571\) | −7.08646 | − | 7.87032i | −0.296559 | − | 0.329362i | 0.576389 | − | 0.817176i | \(-0.304461\pi\) |
−0.872948 | + | 0.487813i | \(0.837795\pi\) | |||||||
\(572\) | 11.2869 | + | 12.5353i | 0.471927 | + | 0.524128i | ||||
\(573\) | 3.86442 | + | 6.24597i | 0.161438 | + | 0.260929i | ||||
\(574\) | −19.5259 | − | 33.8198i | −0.814994 | − | 1.41161i | ||||
\(575\) | 9.88998 | + | 7.37842i | 0.412441 | + | 0.307701i | ||||
\(576\) | −12.2186 | − | 31.0335i | −0.509109 | − | 1.29306i | ||||
\(577\) | −3.99944 | + | 2.90577i | −0.166499 | + | 0.120969i | −0.667914 | − | 0.744238i | \(-0.732813\pi\) |
0.501416 | + | 0.865207i | \(0.332813\pi\) | |||||||
\(578\) | 0.997579 | − | 0.212042i | 0.0414938 | − | 0.00881978i | ||||
\(579\) | 2.05884 | + | 15.1373i | 0.0855626 | + | 0.629085i | ||||
\(580\) | 2.01887 | − | 9.21117i | 0.0838290 | − | 0.382473i | ||||
\(581\) | 22.6929 | + | 4.82352i | 0.941459 | + | 0.200113i | ||||
\(582\) | 32.3386 | − | 15.5950i | 1.34048 | − | 0.646435i | ||||
\(583\) | −15.1410 | + | 16.8158i | −0.627075 | + | 0.696437i | ||||
\(584\) | −4.06452 | − | 2.95305i | −0.168191 | − | 0.122198i | ||||
\(585\) | 20.4453 | − | 13.3425i | 0.845308 | − | 0.551644i | ||||
\(586\) | 14.3516 | − | 10.4271i | 0.592861 | − | 0.430738i | ||||
\(587\) | −0.627144 | + | 5.96688i | −0.0258850 | + | 0.246280i | 0.973926 | + | 0.226864i | \(0.0728473\pi\) |
−0.999811 | + | 0.0194157i | \(0.993819\pi\) | |||||||
\(588\) | −48.8195 | + | 57.6584i | −2.01328 | + | 2.37779i | ||||
\(589\) | −0.0356038 | − | 0.338747i | −0.00146703 | − | 0.0139578i | ||||
\(590\) | −20.9369 | − | 47.8370i | −0.861958 | − | 1.96942i | ||||
\(591\) | −2.39303 | − | 6.66686i | −0.0984363 | − | 0.274238i | ||||
\(592\) | 16.4615 | − | 18.2824i | 0.676564 | − | 0.751401i | ||||
\(593\) | −16.6115 | −0.682154 | −0.341077 | − | 0.940035i | \(-0.610792\pi\) | ||||
−0.341077 | + | 0.940035i | \(0.610792\pi\) | |||||||
\(594\) | −8.67979 | + | 18.8158i | −0.356136 | + | 0.772023i | ||||
\(595\) | −44.1779 | − | 14.6638i | −1.81112 | − | 0.601158i | ||||
\(596\) | 28.4136 | − | 6.03949i | 1.16386 | − | 0.247387i | ||||
\(597\) | −12.2229 | + | 9.46237i | −0.500249 | + | 0.387269i | ||||
\(598\) | 1.98095 | + | 18.8475i | 0.0810071 | + | 0.770731i | ||||
\(599\) | −0.620339 | + | 1.07446i | −0.0253464 | + | 0.0439012i | −0.878420 | − | 0.477889i | \(-0.841402\pi\) |
0.853074 | + | 0.521790i | \(0.174736\pi\) | |||||||
\(600\) | 8.05500 | − | 1.86269i | 0.328844 | − | 0.0760439i | ||||
\(601\) | −2.82824 | − | 4.89865i | −0.115366 | − | 0.199820i | 0.802560 | − | 0.596572i | \(-0.203471\pi\) |
−0.917926 | + | 0.396751i | \(0.870137\pi\) | |||||||
\(602\) | 32.0423 | − | 23.2801i | 1.30595 | − | 0.948825i | ||||
\(603\) | 14.8304 | − | 29.7332i | 0.603942 | − | 1.21083i | ||||
\(604\) | 3.24422 | − | 9.98467i | 0.132005 | − | 0.406270i | ||||
\(605\) | 6.85180 | − | 15.1311i | 0.278565 | − | 0.615167i | ||||
\(606\) | −31.7483 | − | 33.1701i | −1.28969 | − | 1.34744i | ||||
\(607\) | −5.26012 | + | 9.11080i | −0.213502 | + | 0.369796i | −0.952808 | − | 0.303573i | \(-0.901820\pi\) |
0.739306 | + | 0.673369i | \(0.235154\pi\) | |||||||
\(608\) | 2.05472 | + | 0.436744i | 0.0833299 | + | 0.0177123i | ||||
\(609\) | 14.5913 | + | 2.63976i | 0.591268 | + | 0.106968i | ||||
\(610\) | 12.0533 | − | 26.6179i | 0.488026 | − | 1.07773i | ||||
\(611\) | 7.83015 | − | 5.68894i | 0.316774 | − | 0.230150i | ||||
\(612\) | −21.9383 | − | 21.5657i | −0.886801 | − | 0.871741i | ||||
\(613\) | −4.40840 | − | 3.20289i | −0.178054 | − | 0.129364i | 0.495189 | − | 0.868785i | \(-0.335099\pi\) |
−0.673242 | + | 0.739422i | \(0.735099\pi\) | |||||||
\(614\) | −5.84631 | − | 2.60295i | −0.235938 | − | 0.105046i | ||||
\(615\) | −14.3507 | − | 1.15893i | −0.578675 | − | 0.0467324i | ||||
\(616\) | −8.20576 | + | 3.65344i | −0.330619 | + | 0.147201i | ||||
\(617\) | −3.55096 | − | 0.754779i | −0.142956 | − | 0.0303863i | 0.135878 | − | 0.990726i | \(-0.456615\pi\) |
−0.278834 | + | 0.960339i | \(0.589948\pi\) | |||||||
\(618\) | −3.53695 | − | 2.40864i | −0.142277 | − | 0.0968898i | ||||
\(619\) | −27.2899 | + | 30.3086i | −1.09688 | + | 1.21820i | −0.122692 | + | 0.992445i | \(0.539153\pi\) |
−0.974183 | + | 0.225759i | \(0.927514\pi\) | |||||||
\(620\) | −4.22196 | + | 5.73441i | −0.169558 | + | 0.230299i | ||||
\(621\) | −11.1897 | + | 6.26293i | −0.449026 | + | 0.251323i | ||||
\(622\) | −5.33924 | + | 16.4325i | −0.214084 | + | 0.658883i | ||||
\(623\) | −1.61351 | − | 0.718380i | −0.0646439 | − | 0.0287813i | ||||
\(624\) | −15.0599 | − | 10.2557i | −0.602877 | − | 0.410556i | ||||
\(625\) | −1.98341 | − | 24.9212i | −0.0793364 | − | 0.996848i | ||||
\(626\) | 4.71522 | − | 8.16700i | 0.188458 | − | 0.326419i | ||||
\(627\) | −0.451759 | − | 0.730166i | −0.0180415 | − | 0.0291600i | ||||
\(628\) | −37.2753 | + | 7.92311i | −1.48745 | + | 0.316167i | ||||
\(629\) | 10.9973 | − | 33.8463i | 0.438492 | − | 1.34954i | ||||
\(630\) | 18.3915 | + | 68.0284i | 0.732735 | + | 2.71032i | ||||
\(631\) | −9.01249 | − | 27.7376i | −0.358781 | − | 1.10422i | −0.953784 | − | 0.300492i | \(-0.902849\pi\) |
0.595003 | − | 0.803724i | \(-0.297151\pi\) | |||||||
\(632\) | −2.60567 | − | 4.51314i | −0.103648 | − | 0.179523i | ||||
\(633\) | −7.13997 | − | 7.45972i | −0.283788 | − | 0.296497i | ||||
\(634\) | −10.0563 | + | 4.47735i | −0.399386 | + | 0.177818i | ||||
\(635\) | −38.8607 | − | 22.7652i | −1.54214 | − | 0.903408i | ||||
\(636\) | −24.0759 | + | 44.7986i | −0.954670 | + | 1.77638i | ||||
\(637\) | −6.76615 | + | 64.3756i | −0.268085 | + | 2.55065i | ||||
\(638\) | 5.54774 | + | 4.03067i | 0.219637 | + | 0.159576i | ||||
\(639\) | 20.0785 | + | 12.7960i | 0.794295 | + | 0.506203i | ||||
\(640\) | −9.69568 | − | 13.5240i | −0.383255 | − | 0.534584i | ||||
\(641\) | 4.23152 | − | 40.2602i | 0.167135 | − | 1.59018i | −0.513845 | − | 0.857883i | \(-0.671780\pi\) |
0.680981 | − | 0.732301i | \(-0.261554\pi\) | |||||||
\(642\) | 33.7341 | − | 8.25177i | 1.33138 | − | 0.325671i | ||||
\(643\) | −15.6337 | + | 27.0784i | −0.616534 | + | 1.06787i | 0.373579 | + | 0.927598i | \(0.378130\pi\) |
−0.990113 | + | 0.140270i | \(0.955203\pi\) | |||||||
\(644\) | −29.4725 | − | 6.26457i | −1.16138 | − | 0.246859i | ||||
\(645\) | −0.352412 | − | 14.5976i | −0.0138762 | − | 0.574782i | ||||
\(646\) | 2.26369 | − | 0.481163i | 0.0890638 | − | 0.0189311i | ||||
\(647\) | 0.524957 | − | 1.61565i | 0.0206382 | − | 0.0635179i | −0.940207 | − | 0.340604i | \(-0.889369\pi\) |
0.960845 | + | 0.277086i | \(0.0893686\pi\) | |||||||
\(648\) | −1.64216 | + | 8.43352i | −0.0645099 | + | 0.331300i | ||||
\(649\) | 20.9159 | 0.821020 | ||||||||
\(650\) | 26.0515 | − | 28.2072i | 1.02182 | − | 1.10638i | ||||
\(651\) | −9.25527 | − | 6.30279i | −0.362743 | − | 0.247026i | ||||
\(652\) | 4.19252 | + | 39.8891i | 0.164192 | + | 1.56218i | ||||
\(653\) | −14.5114 | − | 16.1165i | −0.567873 | − | 0.630687i | 0.388984 | − | 0.921244i | \(-0.372826\pi\) |
−0.956858 | + | 0.290557i | \(0.906159\pi\) | |||||||
\(654\) | −51.1820 | − | 20.9440i | −2.00137 | − | 0.818974i | ||||
\(655\) | 7.83919 | + | 38.0627i | 0.306302 | + | 1.48723i | ||||
\(656\) | 3.32037 | + | 10.2191i | 0.129639 | + | 0.398987i | ||||
\(657\) | −5.78392 | − | 14.6903i | −0.225652 | − | 0.573124i | ||||
\(658\) | 8.63314 | + | 26.5701i | 0.336555 | + | 1.03581i | ||||
\(659\) | 2.72006 | − | 25.8797i | 0.105959 | − | 1.00813i | −0.804338 | − | 0.594172i | \(-0.797480\pi\) |
0.910297 | − | 0.413957i | \(-0.135853\pi\) | |||||||
\(660\) | −3.30729 | + | 17.6433i | −0.128736 | + | 0.686766i | ||||
\(661\) | 3.22287 | + | 30.6635i | 0.125355 | + | 1.19267i | 0.858577 | + | 0.512684i | \(0.171349\pi\) |
−0.733222 | + | 0.679989i | \(0.761984\pi\) | |||||||
\(662\) | 28.2834 | − | 12.5926i | 1.09927 | − | 0.489425i | ||||
\(663\) | −25.9363 | − | 4.69222i | −1.00728 | − | 0.182231i | ||||
\(664\) | 4.06405 | + | 1.80943i | 0.157716 | + | 0.0702195i | ||||
\(665\) | −2.77137 | − | 0.919894i | −0.107469 | − | 0.0356720i | ||||
\(666\) | −51.9209 | + | 14.3899i | −2.01190 | + | 0.557596i | ||||
\(667\) | 1.31135 | + | 4.03591i | 0.0507755 | + | 0.156271i | ||||
\(668\) | −15.3202 | − | 26.5353i | −0.592755 | − | 1.02668i | ||||
\(669\) | 39.3424 | − | 9.62364i | 1.52107 | − | 0.372071i | ||||
\(670\) | 11.1880 | − | 51.0457i | 0.432230 | − | 1.97207i | ||||
\(671\) | 7.83145 | + | 8.69771i | 0.302330 | + | 0.335771i | ||||
\(672\) | 54.6063 | − | 42.2736i | 2.10649 | − | 1.63074i | ||||
\(673\) | −14.2679 | − | 6.35249i | −0.549988 | − | 0.244871i | 0.112877 | − | 0.993609i | \(-0.463993\pi\) |
−0.662866 | + | 0.748738i | \(0.730660\pi\) | |||||||
\(674\) | −69.4600 | −2.67550 | ||||||||
\(675\) | 24.4922 | + | 8.66775i | 0.942707 | + | 0.333622i | ||||
\(676\) | 0.601159 | 0.0231215 | ||||||||
\(677\) | 28.3662 | + | 12.6294i | 1.09020 | + | 0.485389i | 0.871496 | − | 0.490402i | \(-0.163150\pi\) |
0.218705 | + | 0.975791i | \(0.429817\pi\) | |||||||
\(678\) | 39.9616 | − | 30.9364i | 1.53472 | − | 1.18810i | ||||
\(679\) | 32.7250 | + | 36.3448i | 1.25587 | + | 1.39479i | ||||
\(680\) | −7.70153 | − | 4.51167i | −0.295340 | − | 0.173015i | ||||
\(681\) | −12.3663 | + | 3.02494i | −0.473877 | + | 0.115916i | ||||
\(682\) | −2.58920 | − | 4.48462i | −0.0991455 | − | 0.171725i | ||||
\(683\) | −9.43573 | − | 29.0402i | −0.361048 | − | 1.11119i | −0.952419 | − | 0.304792i | \(-0.901413\pi\) |
0.591371 | − | 0.806400i | \(-0.298587\pi\) | |||||||
\(684\) | −1.37624 | − | 1.35286i | −0.0526217 | − | 0.0517280i | ||||
\(685\) | 23.0512 | − | 7.32893i | 0.880742 | − | 0.280024i | ||||
\(686\) | −103.513 | − | 46.0868i | −3.95213 | − | 1.75960i | ||||
\(687\) | −33.3261 | − | 6.02914i | −1.27147 | − | 0.230026i | ||||
\(688\) | −9.95543 | + | 4.43244i | −0.379547 | + | 0.168985i | ||||
\(689\) | 4.55478 | + | 43.3359i | 0.173523 | + | 1.65096i | ||||
\(690\) | −14.6575 | + | 13.8526i | −0.558000 | + | 0.527360i | ||||
\(691\) | −0.596493 | + | 5.67525i | −0.0226917 | + | 0.215897i | 0.977300 | + | 0.211859i | \(0.0679518\pi\) |
−0.999992 | + | 0.00403748i | \(0.998715\pi\) | |||||||
\(692\) | 1.17010 | + | 3.60121i | 0.0444807 | + | 0.136898i | ||||
\(693\) | −27.9161 | − | 4.17673i | −1.06045 | − | 0.158661i | ||||
\(694\) | 1.08203 | + | 3.33016i | 0.0410735 | + | 0.126411i | ||||
\(695\) | 23.2088 | − | 13.2046i | 0.880361 | − | 0.500879i | ||||
\(696\) | 2.63155 | + | 1.07684i | 0.0997485 | + | 0.0408177i | ||||
\(697\) | 10.4007 | + | 11.5511i | 0.393954 | + | 0.437530i | ||||
\(698\) | −2.46291 | − | 23.4330i | −0.0932226 | − | 0.886954i | ||||
\(699\) | −4.68420 | − | 3.18991i | −0.177173 | − | 0.120654i | ||||
\(700\) | 29.8527 | + | 53.2508i | 1.12832 | + | 2.01269i | ||||
\(701\) | −0.904318 | −0.0341556 | −0.0170778 | − | 0.999854i | \(-0.505436\pi\) | ||||
−0.0170778 | + | 0.999854i | \(0.505436\pi\) | |||||||
\(702\) | 15.7426 | + | 36.6666i | 0.594167 | + | 1.38389i | ||||
\(703\) | 0.689886 | − | 2.12325i | 0.0260196 | − | 0.0800800i | ||||
\(704\) | 20.5517 | − | 4.36839i | 0.774569 | − | 0.164640i | ||||
\(705\) | 9.86969 | + | 2.94548i | 0.371714 | + | 0.110933i | ||||
\(706\) | 10.7053 | + | 2.27548i | 0.402900 | + | 0.0856390i | ||||
\(707\) | 31.2731 | − | 54.1666i | 1.17615 | − | 2.03714i | ||||
\(708\) | 45.6642 | − | 11.1700i | 1.71616 | − | 0.419795i | ||||
\(709\) | −0.445820 | + | 4.24169i | −0.0167431 | + | 0.159300i | −0.999699 | − | 0.0245427i | \(-0.992187\pi\) |
0.982956 | + | 0.183843i | \(0.0588537\pi\) | |||||||
\(710\) | 35.5398 | + | 11.7966i | 1.33378 | + | 0.442719i | ||||
\(711\) | 0.716995 | − | 16.3609i | 0.0268894 | − | 0.613580i | ||||
\(712\) | −0.273995 | − | 0.199069i | −0.0102684 | − | 0.00746042i | ||||
\(713\) | 0.334970 | − | 3.18703i | 0.0125447 | − | 0.119355i | ||||
\(714\) | 36.0159 | − | 67.0159i | 1.34786 | − | 2.50801i | ||||
\(715\) | 6.16654 | + | 14.0894i | 0.230616 | + | 0.526915i | ||||
\(716\) | 35.7489 | − | 15.9165i | 1.33600 | − | 0.594826i | ||||
\(717\) | 12.3386 | + | 12.8912i | 0.460794 | + | 0.481430i | ||||
\(718\) | −8.98759 | − | 15.5670i | −0.335414 | − | 0.580954i | ||||
\(719\) | −11.3582 | − | 34.9568i | −0.423588 | − | 1.30367i | −0.904340 | − | 0.426813i | \(-0.859636\pi\) |
0.480752 | − | 0.876857i | \(-0.340364\pi\) | |||||||
\(720\) | −1.05814 | − | 19.3609i | −0.0394344 | − | 0.721537i | ||||
\(721\) | 1.80131 | − | 5.54387i | 0.0670844 | − | 0.206465i | ||||
\(722\) | −39.0734 | + | 8.30530i | −1.45416 | + | 0.309091i | ||||
\(723\) | −11.3536 | − | 18.3505i | −0.422243 | − | 0.682462i | ||||
\(724\) | −15.7199 | + | 27.2277i | −0.584226 | + | 1.01191i | ||||
\(725\) | 4.39279 | − | 7.39102i | 0.163144 | − | 0.274496i | ||||
\(726\) | 22.4395 | + | 15.2812i | 0.832810 | + | 0.567139i | ||||
\(727\) | −19.5038 | − | 8.68365i | −0.723356 | − | 0.322059i | 0.0118246 | − | 0.999930i | \(-0.496236\pi\) |
−0.735181 | + | 0.677871i | \(0.762903\pi\) | |||||||
\(728\) | −5.34516 | + | 16.4507i | −0.198105 | + | 0.609704i | ||||
\(729\) | −18.5951 | + | 19.5760i | −0.688708 | + | 0.725039i | ||||
\(730\) | −14.4677 | − | 20.1803i | −0.535475 | − | 0.746907i | ||||
\(731\) | −10.5484 | + | 11.7152i | −0.390147 | + | 0.433302i | ||||
\(732\) | 21.7428 | + | 14.8068i | 0.803638 | + | 0.547273i | ||||
\(733\) | 42.6873 | + | 9.07347i | 1.57669 | + | 0.335136i | 0.911424 | − | 0.411469i | \(-0.134984\pi\) |
0.665268 | + | 0.746605i | \(0.268317\pi\) | |||||||
\(734\) | −14.9512 | + | 6.65668i | −0.551857 | + | 0.245703i | ||||
\(735\) | −58.8075 | + | 35.8722i | −2.16915 | + | 1.32317i | ||||
\(736\) | 18.0546 | + | 8.03844i | 0.665502 | + | 0.296301i | ||||
\(737\) | 16.9340 | + | 12.3033i | 0.623772 | + | 0.453197i | ||||
\(738\) | 5.89564 | − | 22.7815i | 0.217021 | − | 0.838597i | ||||
\(739\) | −19.1599 | + | 13.9205i | −0.704809 | + | 0.512074i | −0.881495 | − | 0.472194i | \(-0.843462\pi\) |
0.176686 | + | 0.984267i | \(0.443462\pi\) | |||||||
\(740\) | −40.5676 | + | 23.0808i | −1.49129 | + | 0.848467i | ||||
\(741\) | −1.62704 | − | 0.294353i | −0.0597708 | − | 0.0108133i | ||||
\(742\) | −123.030 | − | 26.1508i | −4.51658 | − | 0.960028i | ||||
\(743\) | 18.4028 | − | 31.8745i | 0.675132 | − | 1.16936i | −0.301299 | − | 0.953530i | \(-0.597420\pi\) |
0.976430 | − | 0.215833i | \(-0.0692466\pi\) | |||||||
\(744\) | −1.48467 | − | 1.55116i | −0.0544307 | − | 0.0568683i | ||||
\(745\) | 26.3225 | + | 2.93505i | 0.964382 | + | 0.107532i | ||||
\(746\) | 13.2832 | − | 40.8816i | 0.486334 | − | 1.49678i | ||||
\(747\) | 7.71411 | + | 11.6589i | 0.282244 | + | 0.426575i | ||||
\(748\) | 15.6785 | − | 11.3911i | 0.573262 | − | 0.416499i | ||||
\(749\) | 23.6539 | + | 40.9697i | 0.864294 | + | 1.49700i | ||||
\(750\) | 40.6840 | + | 3.80411i | 1.48557 | + | 0.138906i | ||||
\(751\) | −1.79837 | + | 3.11487i | −0.0656235 | + | 0.113663i | −0.896970 | − | 0.442091i | \(-0.854237\pi\) |
0.831347 | + | 0.555754i | \(0.187570\pi\) | |||||||
\(752\) | −0.803499 | − | 7.64478i | −0.0293006 | − | 0.278777i | ||||
\(753\) | −12.8980 | + | 9.98499i | −0.470028 | + | 0.363873i | ||||
\(754\) | 12.9167 | − | 2.74554i | 0.470400 | − | 0.0999866i | ||||
\(755\) | 5.67532 | − | 7.70841i | 0.206546 | − | 0.280538i | ||||
\(756\) | −63.1779 | + | 5.78970i | −2.29776 | + | 0.210569i | ||||
\(757\) | −41.0486 | −1.49194 | −0.745969 | − | 0.665981i | \(-0.768013\pi\) | ||||
−0.745969 | + | 0.665981i | \(0.768013\pi\) | |||||||
\(758\) | −12.9136 | + | 14.3420i | −0.469042 | + | 0.520924i | ||||
\(759\) | −2.72912 | − | 7.60317i | −0.0990608 | − | 0.275978i | ||||
\(760\) | −0.483134 | − | 0.283027i | −0.0175251 | − | 0.0102665i | ||||
\(761\) | 4.80937 | + | 45.7581i | 0.174339 | + | 1.65873i | 0.636012 | + | 0.771679i | \(0.280583\pi\) |
−0.461673 | + | 0.887050i | \(0.652751\pi\) | |||||||
\(762\) | 47.5674 | − | 56.1796i | 1.72318 | − | 2.03517i | ||||
\(763\) | 7.87436 | − | 74.9195i | 0.285071 | − | 2.71227i | ||||
\(764\) | −8.41341 | + | 6.11270i | −0.304386 | + | 0.221150i | ||||
\(765\) | −12.7899 | − | 24.9633i | −0.462421 | − | 0.902551i | ||||
\(766\) | −3.67189 | − | 2.66779i | −0.132671 | − | 0.0963911i | ||||
\(767\) | 26.9511 | − | 29.9323i | 0.973149 | − | 1.08079i | ||||
\(768\) | −10.1907 | + | 4.91437i | −0.367724 | + | 0.177332i | ||||
\(769\) | 17.1520 | + | 3.64577i | 0.618516 | + | 0.131470i | 0.506505 | − | 0.862237i | \(-0.330937\pi\) |
0.112012 | + | 0.993707i | \(0.464271\pi\) | |||||||
\(770\) | −44.1793 | + | 4.36110i | −1.59211 | + | 0.157163i | ||||
\(771\) | −6.55795 | − | 48.2162i | −0.236179 | − | 1.73646i | ||||
\(772\) | −21.1577 | + | 4.49721i | −0.761483 | + | 0.161858i | ||||
\(773\) | 39.9098 | − | 28.9962i | 1.43546 | − | 1.04292i | 0.446489 | − | 0.894789i | \(-0.352674\pi\) |
0.988968 | − | 0.148131i | \(-0.0473256\pi\) | |||||||
\(774\) | 23.6035 | + | 3.53149i | 0.848410 | + | 0.126937i | ||||
\(775\) | −5.30060 | + | 3.74960i | −0.190403 | + | 0.134689i | ||||
\(776\) | 4.68903 | + | 8.12163i | 0.168326 | + | 0.291550i | ||||
\(777\) | −38.6155 | − | 62.4133i | −1.38532 | − | 2.23907i | ||||
\(778\) | 47.4418 | + | 52.6895i | 1.70087 | + | 1.88901i | ||||
\(779\) | 0.652457 | + | 0.724627i | 0.0233767 | + | 0.0259625i | ||||
\(780\) | 20.9874 | + | 27.4673i | 0.751469 | + | 0.983487i | ||||
\(781\) | −10.0363 | + | 11.1465i | −0.359129 | + | 0.398853i | ||||
\(782\) | 21.7732 | 0.778610 | ||||||||
\(783\) | 5.15513 | + | 7.29811i | 0.184229 | + | 0.260813i | ||||
\(784\) | 41.5913 | + | 30.2179i | 1.48540 | + | 1.07921i | ||||
\(785\) | −34.5321 | − | 3.85044i | −1.23250 | − | 0.137428i | ||||
\(786\) | −63.4882 | + | 1.93457i | −2.26455 | + | 0.0690040i | ||||
\(787\) | −10.8577 | + | 4.83418i | −0.387037 | + | 0.172320i | −0.591024 | − | 0.806654i | \(-0.701276\pi\) |
0.203988 | + | 0.978973i | \(0.434610\pi\) | |||||||
\(788\) | 9.16227 | − | 4.07931i | 0.326392 | − | 0.145319i | ||||
\(789\) | −15.5846 | − | 25.1890i | −0.554826 | − | 0.896752i | ||||
\(790\) | −5.19560 | − | 25.2269i | −0.184851 | − | 0.897533i | ||||
\(791\) | 55.6944 | + | 40.4644i | 1.98027 | + | 1.43875i | ||||
\(792\) | −5.06953 | − | 1.89636i | −0.180138 | − | 0.0673842i | ||||
\(793\) | 22.5383 | 0.800359 | ||||||||
\(794\) | −2.03191 | + | 2.25667i | −0.0721099 | + | 0.0800862i | ||||
\(795\) | −33.7018 | + | 31.8512i | −1.19528 | + | 1.12965i | ||||
\(796\) | −14.6449 | − | 16.2648i | −0.519074 | − | 0.576490i | ||||
\(797\) | 13.9565 | + | 15.5003i | 0.494366 | + | 0.549049i | 0.937763 | − | 0.347276i | \(-0.112893\pi\) |
−0.443397 | + | 0.896325i | \(0.646227\pi\) | |||||||
\(798\) | 2.25936 | − | 4.20405i | 0.0799805 | − | 0.148822i | ||||
\(799\) | −5.55990 | − | 9.63002i | −0.196695 | − | 0.340686i | ||||
\(800\) | −11.8909 | − | 38.2357i | −0.420408 | − | 1.35184i | ||||
\(801\) | −0.389902 | − | 0.990295i | −0.0137765 | − | 0.0349904i | ||||
\(802\) | 14.2262 | − | 10.3359i | 0.502345 | − | 0.364975i | ||||
\(803\) | 9.72852 | − | 2.06786i | 0.343312 | − | 0.0729732i | ||||
\(804\) | 43.5413 | + | 17.8174i | 1.53558 | + | 0.628370i | ||||
\(805\) | −23.7047 | − | 13.8866i | −0.835480 | − | 0.489437i | ||||
\(806\) | −9.75416 | − | 2.07331i | −0.343576 | − | 0.0730293i | ||||
\(807\) | 17.2427 | + | 11.7422i | 0.606971 | + | 0.413344i | ||||
\(808\) | 8.02519 | − | 8.91288i | 0.282325 | − | 0.313554i | ||||
\(809\) | −3.41039 | − | 2.47780i | −0.119903 | − | 0.0871147i | 0.526218 | − | 0.850350i | \(-0.323610\pi\) |
−0.646121 | + | 0.763235i | \(0.723610\pi\) | |||||||
\(810\) | −20.8337 | + | 37.0026i | −0.732022 | + | 1.30014i | ||||
\(811\) | −40.5285 | + | 29.4457i | −1.42315 | + | 1.03398i | −0.431908 | + | 0.901918i | \(0.642159\pi\) |
−0.991242 | + | 0.132061i | \(0.957841\pi\) | |||||||
\(812\) | −2.19461 | + | 20.8803i | −0.0770155 | + | 0.732754i | ||||
\(813\) | −0.747438 | − | 2.08232i | −0.0262138 | − | 0.0730301i | ||||
\(814\) | −3.54784 | − | 33.7554i | −0.124352 | − | 1.18313i | ||||
\(815\) | −7.82950 | + | 35.7224i | −0.274255 | + | 1.25130i | ||||
\(816\) | −13.5268 | + | 15.9759i | −0.473534 | + | 0.559269i | ||||
\(817\) | −0.661724 | + | 0.734919i | −0.0231508 | + | 0.0257116i | ||||
\(818\) | 37.5748 | 1.31377 | ||||||||
\(819\) | −41.9486 | + | 34.5683i | −1.46580 | + | 1.20791i | ||||
\(820\) | 0.128936 | − | 20.3850i | 0.00450265 | − | 0.711875i | ||||
\(821\) | −44.2780 | + | 9.41158i | −1.54531 | + | 0.328466i | −0.900150 | − | 0.435579i | \(-0.856544\pi\) |
−0.645162 | + | 0.764046i | \(0.723210\pi\) | |||||||
\(822\) | 5.32811 | + | 39.1740i | 0.185839 | + | 1.36635i | ||||
\(823\) | −5.29396 | − | 50.3687i | −0.184536 | − | 1.75574i | −0.559619 | − | 0.828750i | \(-0.689052\pi\) |
0.375083 | − | 0.926991i | \(-0.377614\pi\) | |||||||
\(824\) | 0.558883 | − | 0.968013i | 0.0194696 | − | 0.0337223i | ||||
\(825\) | −7.92973 | + | 14.3177i | −0.276078 | + | 0.498479i | ||||
\(826\) | 58.1313 | + | 100.686i | 2.02265 | + | 3.50333i | ||||
\(827\) | −38.0880 | + | 27.6726i | −1.32445 | + | 0.962270i | −0.324585 | + | 0.945856i | \(0.605225\pi\) |
−0.999865 | + | 0.0164134i | \(0.994775\pi\) | |||||||
\(828\) | −10.0187 | − | 15.1420i | −0.348175 | − | 0.526221i | ||||
\(829\) | −5.91009 | + | 18.1894i | −0.205266 | + | 0.631744i | 0.794436 | + | 0.607347i | \(0.207766\pi\) |
−0.999702 | + | 0.0243963i | \(0.992234\pi\) | |||||||
\(830\) | 16.2461 | + | 14.8152i | 0.563911 | + | 0.514243i | ||||
\(831\) | 14.4240 | − | 3.52829i | 0.500363 | − | 0.122395i | ||||
\(832\) | 20.2303 | − | 35.0399i | 0.701360 | − | 1.21479i | ||||
\(833\) | 72.7437 | + | 15.4622i | 2.52042 | + | 0.535732i | ||||
\(834\) | 14.7446 | + | 41.0777i | 0.510565 | + | 1.42240i | ||||
\(835\) | −5.63551 | − | 27.3629i | −0.195025 | − | 0.946931i | ||||
\(836\) | 0.983545 | − | 0.714587i | 0.0340166 | − | 0.0247145i | ||||
\(837\) | −1.31475 | − | 6.61814i | −0.0454445 | − | 0.228756i | ||||
\(838\) | 5.38007 | + | 3.90885i | 0.185851 | + | 0.135029i | ||||
\(839\) | 6.44487 | + | 2.86944i | 0.222502 | + | 0.0990642i | 0.514960 | − | 0.857214i | \(-0.327807\pi\) |
−0.292459 | + | 0.956278i | \(0.594473\pi\) | |||||||
\(840\) | −17.3642 | + | 6.10911i | −0.599123 | + | 0.210784i | ||||
\(841\) | −23.7915 | + | 10.5927i | −0.820397 | + | 0.365264i | ||||
\(842\) | 20.3450 | + | 4.32447i | 0.701136 | + | 0.149031i | ||||
\(843\) | −0.622752 | + | 8.37094i | −0.0214487 | + | 0.288310i | ||||
\(844\) | 9.78316 | − | 10.8653i | 0.336750 | − | 0.373999i | ||||
\(845\) | 0.520215 | + | 0.172673i | 0.0178959 | + | 0.00594014i | ||||
\(846\) | −7.51403 | + | 15.0647i | −0.258338 | + | 0.517935i | ||||
\(847\) | −11.4281 | + | 35.1721i | −0.392675 | + | 1.20853i | ||||
\(848\) | 31.6156 | + | 14.0762i | 1.08568 | + | 0.483378i | ||||
\(849\) | −27.2946 | + | 13.1626i | −0.936748 | + | 0.451740i | ||||
\(850\) | −29.1012 | − | 33.1542i | −0.998164 | − | 1.13718i | ||||
\(851\) | 10.5021 | − | 18.1901i | 0.360007 | − | 0.623550i | ||||
\(852\) | −15.9589 | + | 29.6952i | −0.546744 | + | 1.01734i | ||||
\(853\) | −0.660593 | + | 0.140413i | −0.0226183 | + | 0.00480766i | −0.219207 | − | 0.975678i | \(-0.570347\pi\) |
0.196589 | + | 0.980486i | \(0.437014\pi\) | |||||||
\(854\) | −20.1038 | + | 61.8730i | −0.687937 | + | 2.11725i | ||||
\(855\) | −0.802341 | − | 1.56600i | −0.0274395 | − | 0.0535562i | ||||
\(856\) | 2.80323 | + | 8.62745i | 0.0958123 | + | 0.294880i | ||||
\(857\) | −4.66218 | − | 8.07513i | −0.159257 | − | 0.275841i | 0.775344 | − | 0.631539i | \(-0.217576\pi\) |
−0.934601 | + | 0.355698i | \(0.884243\pi\) | |||||||
\(858\) | −24.4178 | + | 5.97289i | −0.833609 | + | 0.203911i | ||||
\(859\) | 17.5118 | − | 7.79675i | 0.597495 | − | 0.266022i | −0.0856260 | − | 0.996327i | \(-0.527289\pi\) |
0.683121 | + | 0.730306i | \(0.260622\pi\) | |||||||
\(860\) | 20.5750 | − | 2.03103i | 0.701600 | − | 0.0692575i | ||||
\(861\) | 32.0406 | − | 0.976323i | 1.09194 | − | 0.0332730i | ||||
\(862\) | 0.903483 | − | 8.59607i | 0.0307728 | − | 0.292783i | ||||
\(863\) | 11.8475 | + | 8.60771i | 0.403293 | + | 0.293010i | 0.770881 | − | 0.636979i | \(-0.219816\pi\) |
−0.367588 | + | 0.929989i | \(0.619816\pi\) | |||||||
\(864\) | 41.3232 | + | 4.90114i | 1.40584 | + | 0.166740i | ||||
\(865\) | −0.0218367 | + | 3.45241i | −0.000742469 | + | 0.117386i | ||||
\(866\) | −3.89514 | + | 37.0598i | −0.132362 | + | 1.25934i | ||||
\(867\) | −0.234325 | + | 0.803690i | −0.00795810 | + | 0.0272947i | ||||
\(868\) | 7.92736 | − | 13.7306i | 0.269072 | − | 0.466047i | ||||
\(869\) | 10.0912 | + | 2.14496i | 0.342321 | + | 0.0727626i | ||||
\(870\) | 10.6673 | + | 9.14845i | 0.361654 | + | 0.310161i | ||||
\(871\) | 39.4272 | − | 8.38052i | 1.33594 | − | 0.283963i | ||||
\(872\) | 4.46382 | − | 13.7382i | 0.151164 | − | 0.465235i | ||||
\(873\) | −1.29027 | + | 29.4422i | −0.0436690 | + | 0.996467i | ||||
\(874\) | 1.36588 | 0.0462017 | ||||||||
\(875\) | 10.5377 | + | 54.6554i | 0.356238 | + | 1.84769i | ||||
\(876\) | 20.1353 | − | 9.71009i | 0.680308 | − | 0.328073i | ||||
\(877\) | −1.10115 | − | 10.4767i | −0.0371830 | − | 0.353773i | −0.997256 | − | 0.0740246i | \(-0.976416\pi\) |
0.960073 | − | 0.279748i | \(-0.0902510\pi\) | |||||||
\(878\) | 50.8531 | + | 56.4781i | 1.71621 | + | 1.90604i | ||||
\(879\) | 1.96246 | + | 14.4287i | 0.0661921 | + | 0.486666i | ||||
\(880\) | 12.1396 | + | 1.35361i | 0.409227 | + | 0.0456303i | ||||
\(881\) | 11.5523 | + | 35.5543i | 0.389207 | + | 1.19785i | 0.933382 | + | 0.358884i | \(0.116843\pi\) |
−0.544176 | + | 0.838971i | \(0.683157\pi\) | |||||||
\(882\) | −41.2472 | − | 104.762i | −1.38887 | − | 3.52752i | ||||
\(883\) | −5.79211 | − | 17.8263i | −0.194920 | − | 0.599902i | −0.999978 | − | 0.00670538i | \(-0.997866\pi\) |
0.805057 | − | 0.593197i | \(-0.202134\pi\) | |||||||
\(884\) | 3.90095 | − | 37.1151i | 0.131203 | − | 1.24832i | ||||
\(885\) | 42.7240 | + | 3.45029i | 1.43615 | + | 0.115980i | ||||
\(886\) | −5.83417 | − | 55.5084i | −0.196003 | − | 1.86484i | ||||
\(887\) | −20.2372 | + | 9.01019i | −0.679499 | + | 0.302533i | −0.717312 | − | 0.696752i | \(-0.754628\pi\) |
0.0378126 | + | 0.999285i | \(0.487961\pi\) | |||||||
\(888\) | −4.75458 | − | 13.2460i | −0.159553 | − | 0.444506i | ||||
\(889\) | 91.6065 | + | 40.7858i | 3.07238 | + | 1.36791i | ||||
\(890\) | −0.975290 | − | 1.36038i | −0.0326918 | − | 0.0456001i | ||||
\(891\) | −10.2319 | − | 13.5874i | −0.342781 | − | 0.455194i | ||||
\(892\) | 17.7214 | + | 54.5409i | 0.593356 | + | 1.82616i | ||||
\(893\) | −0.348784 | − | 0.604112i | −0.0116716 | − | 0.0202159i | ||||
\(894\) | −12.1171 | + | 41.5593i | −0.405256 | + | 1.38995i | ||||
\(895\) | 35.5072 | − | 3.50504i | 1.18687 | − | 0.117161i | ||||
\(896\) | 24.7910 | + | 27.5332i | 0.828211 | + | 0.919821i | ||||
\(897\) | −14.3973 | − | 5.89147i | −0.480713 | − | 0.196711i | ||||
\(898\) | −20.1680 | − | 8.97936i | −0.673014 | − | 0.299645i | ||||
\(899\) | −2.23296 | −0.0744734 | ||||||||
\(900\) | −9.66612 | + | 35.4937i | −0.322204 | + | 1.18312i | ||||
\(901\) | 50.0630 | 1.66784 | ||||||||
\(902\) | 13.5427 | + | 6.02959i | 0.450922 | + | 0.200764i | ||||
\(903\) | 4.38149 | + | 32.2142i | 0.145807 | + | 1.07202i | ||||
\(904\) | 8.83301 | + | 9.81005i | 0.293781 | + | 0.326277i | ||||
\(905\) | −21.4240 | + | 19.0463i | −0.712157 | + | 0.633119i | ||||
\(906\) | 10.8182 | + | 11.3026i | 0.359410 | + | 0.375505i | ||||
\(907\) | 14.1037 | + | 24.4283i | 0.468306 | + | 0.811129i | 0.999344 | − | 0.0362188i | \(-0.0115313\pi\) |
−0.531038 | + | 0.847348i | \(0.678198\pi\) | |||||||
\(908\) | −5.57027 | − | 17.1435i | −0.184856 | − | 0.568927i | ||||
\(909\) | 36.3203 | − | 10.0661i | 1.20467 | − | 0.333873i | ||||
\(910\) | −50.6862 | + | 68.8436i | −1.68023 | + | 2.28214i | ||||
\(911\) | 11.4056 | + | 5.07809i | 0.377883 | + | 0.168245i | 0.586884 | − | 0.809671i | \(-0.300354\pi\) |
−0.209001 | + | 0.977916i | \(0.567021\pi\) | |||||||
\(912\) | −0.848569 | + | 1.00220i | −0.0280989 | + | 0.0331863i | ||||
\(913\) | −8.04544 | + | 3.58206i | −0.266265 | + | 0.118549i | ||||
\(914\) | −4.07918 | − | 38.8108i | −0.134927 | − | 1.28375i | ||||
\(915\) | 14.5622 | + | 19.0583i | 0.481412 | + | 0.630049i | ||||
\(916\) | 5.01243 | − | 47.6900i | 0.165615 | − | 1.57572i | ||||
\(917\) | −26.7375 | − | 82.2896i | −0.882951 | − | 2.71744i | ||||
\(918\) | 43.7862 | − | 13.5843i | 1.44516 | − | 0.448348i | ||||
\(919\) | −15.2217 | − | 46.8476i | −0.502118 | − | 1.54536i | −0.805562 | − | 0.592511i | \(-0.798137\pi\) |
0.303445 | − | 0.952849i | \(-0.401863\pi\) | |||||||
\(920\) | −3.89250 | − | 3.54966i | −0.128332 | − | 0.117029i | ||||
\(921\) | 4.15382 | − | 3.21569i | 0.136873 | − | 0.105961i | ||||
\(922\) | −9.02658 | − | 10.0250i | −0.297274 | − | 0.330157i | ||||
\(923\) | 3.01918 | + | 28.7256i | 0.0993776 | + | 0.945515i | ||||
\(924\) | 2.96511 | − | 39.8565i | 0.0975450 | − | 1.31118i | ||||
\(925\) | −41.7348 | + | 8.32067i | −1.37223 | + | 0.273582i | ||||
\(926\) | −43.5813 | −1.43217 | ||||||||
\(927\) | 3.11595 | − | 1.62142i | 0.102341 | − | 0.0532543i | ||||
\(928\) | 4.25550 | − | 13.0971i | 0.139694 | − | 0.429932i | ||||
\(929\) | −22.2840 | + | 4.73660i | −0.731113 | + | 0.155403i | −0.558403 | − | 0.829570i | \(-0.688586\pi\) |
−0.172710 | + | 0.984973i | \(0.555252\pi\) | |||||||
\(930\) | −4.54907 | − | 9.58768i | −0.149170 | − | 0.314392i | ||||
\(931\) | 4.56337 | + | 0.969975i | 0.149558 | + | 0.0317896i | ||||
\(932\) | 4.01213 | − | 6.94921i | 0.131422 | − | 0.227629i | ||||
\(933\) | −9.80670 | − | 10.2459i | −0.321057 | − | 0.335435i | ||||
\(934\) | 4.40703 | − | 41.9301i | 0.144203 | − | 1.37200i | ||||
\(935\) | 16.8393 | − | 5.35391i | 0.550704 | − | 0.175092i | ||||
\(936\) | −9.24617 | + | 4.81134i | −0.302221 | + | 0.157264i | ||||
\(937\) | 6.96881 | + | 5.06313i | 0.227661 | + | 0.165405i | 0.695768 | − | 0.718266i | \(-0.255064\pi\) |
−0.468107 | + | 0.883672i | \(0.655064\pi\) | |||||||
\(938\) | −12.1619 | + | 115.712i | −0.397099 | + | 3.77815i | ||||
\(939\) | 4.07286 | + | 6.58286i | 0.132913 | + | 0.214823i | ||||
\(940\) | −3.12227 | + | 14.2455i | −0.101837 | + | 0.464636i | ||||
\(941\) | −34.4037 | + | 15.3175i | −1.12153 | + | 0.499337i | −0.881857 | − | 0.471517i | \(-0.843707\pi\) |
−0.239672 | + | 0.970854i | \(0.577040\pi\) | |||||||
\(942\) | 15.8962 | − | 54.5209i | 0.517926 | − | 1.77639i | ||||
\(943\) | 4.58692 | + | 7.94478i | 0.149371 | + | 0.258718i | ||||
\(944\) | −9.88523 | − | 30.4236i | −0.321737 | − | 0.990204i | ||||
\(945\) | −56.3342 | − | 13.1367i | −1.83255 | − | 0.427337i | ||||
\(946\) | −4.64603 | + | 14.2990i | −0.151056 | + | 0.464901i | ||||
\(947\) | −55.9082 | + | 11.8837i | −1.81677 | + | 0.386167i | −0.985497 | − | 0.169692i | \(-0.945723\pi\) |
−0.831276 | + | 0.555859i | \(0.812389\pi\) | |||||||
\(948\) | 23.1770 | − | 0.706235i | 0.752753 | − | 0.0229374i | ||||
\(949\) | 9.57641 | − | 16.5868i | 0.310863 | − | 0.538431i | ||||
\(950\) | −1.82559 | − | 2.07983i | −0.0592298 | − | 0.0674787i | ||||
\(951\) | 0.670367 | − | 9.01097i | 0.0217381 | − | 0.292201i | ||||
\(952\) | 18.1549 | + | 8.08306i | 0.588402 | + | 0.261974i | ||||
\(953\) | −17.6489 | + | 54.3178i | −0.571704 | + | 1.75953i | 0.0754319 | + | 0.997151i | \(0.475966\pi\) |
−0.647136 | + | 0.762374i | \(0.724034\pi\) | |||||||
\(954\) | −41.8223 | − | 63.2089i | −1.35405 | − | 2.04646i | ||||
\(955\) | −9.03634 | + | 2.87302i | −0.292409 | + | 0.0929689i | ||||
\(956\) | −16.9063 | + | 18.7764i | −0.546790 | + | 0.607272i | ||||
\(957\) | −5.07011 | + | 2.44502i | −0.163893 | + | 0.0790363i | ||||
\(958\) | 19.7432 | + | 4.19656i | 0.637875 | + | 0.135585i | ||||
\(959\) | −49.1987 | + | 21.9047i | −1.58871 | + | 0.707338i | ||||
\(960\) | 42.7006 | − | 5.53292i | 1.37816 | − | 0.178574i | ||||
\(961\) | −26.7795 | − | 11.9230i | −0.863853 | − | 0.384612i | ||||
\(962\) | −52.8782 | − | 38.4183i | −1.70486 | − | 1.23865i | ||||
\(963\) | −7.14205 | + | 27.5977i | −0.230149 | + | 0.889325i | ||||
\(964\) | 24.7184 | − | 17.9589i | 0.796125 | − | 0.578419i | ||||
\(965\) | −19.6006 | − | 2.18554i | −0.630967 | − | 0.0703549i | ||||
\(966\) | 29.0157 | − | 34.2691i | 0.933564 | − | 1.10259i | ||||
\(967\) | −38.1403 | − | 8.10697i | −1.22651 | − | 0.260703i | −0.451280 | − | 0.892382i | \(-0.649033\pi\) |
−0.775230 | + | 0.631680i | \(0.782366\pi\) | |||||||
\(968\) | −3.54573 | + | 6.14139i | −0.113964 | + | 0.197392i | ||||
\(969\) | −0.531727 | + | 1.82372i | −0.0170815 | + | 0.0585864i | ||||
\(970\) | 9.34974 | + | 45.3971i | 0.300202 | + | 1.45761i | ||||
\(971\) | 2.17507 | − | 6.69417i | 0.0698013 | − | 0.214826i | −0.910071 | − | 0.414453i | \(-0.863973\pi\) |
0.979872 | + | 0.199627i | \(0.0639729\pi\) | |||||||
\(972\) | −29.5949 | − | 24.2001i | −0.949255 | − | 0.776218i | ||||
\(973\) | −48.0977 | + | 34.9450i | −1.54194 | + | 1.12029i | ||||
\(974\) | −10.0035 | − | 17.3265i | −0.320532 | − | 0.555178i | ||||
\(975\) | 10.2719 | + | 29.7972i | 0.328966 | + | 0.954273i | ||||
\(976\) | 8.95013 | − | 15.5021i | 0.286487 | − | 0.496210i | ||||
\(977\) | 5.50221 | + | 52.3500i | 0.176031 | + | 1.67483i | 0.624498 | + | 0.781027i | \(0.285304\pi\) |
−0.448466 | + | 0.893800i | \(0.648030\pi\) | |||||||
\(978\) | −55.3202 | − | 22.6374i | −1.76895 | − | 0.723863i | ||||
\(979\) | 0.655813 | − | 0.139397i | 0.0209599 | − | 0.00445516i | ||||
\(980\) | −56.8294 | − | 79.2684i | −1.81535 | − | 2.53214i | ||||
\(981\) | 35.0318 | − | 28.8684i | 1.11848 | − | 0.921698i | ||||
\(982\) | 33.9162 | 1.08231 | ||||||||
\(983\) | 5.59384 | − | 6.21259i | 0.178416 | − | 0.198151i | −0.647303 | − | 0.762233i | \(-0.724103\pi\) |
0.825719 | + | 0.564082i | \(0.190770\pi\) | |||||||
\(984\) | 6.04857 | + | 1.09427i | 0.192821 | + | 0.0348840i | ||||
\(985\) | 9.10031 | − | 0.898324i | 0.289960 | − | 0.0286230i | ||||
\(986\) | −1.58587 | − | 15.0885i | −0.0505044 | − | 0.480517i | ||||
\(987\) | −22.5660 | − | 4.08250i | −0.718285 | − | 0.129947i | ||||
\(988\) | 0.244715 | − | 2.32831i | 0.00778543 | − | 0.0740735i | ||||
\(989\) | −7.52721 | + | 5.46884i | −0.239351 | + | 0.173899i | ||||
\(990\) | −20.8272 | − | 16.7885i | −0.661932 | − | 0.533572i | ||||
\(991\) | −9.22348 | − | 6.70125i | −0.292993 | − | 0.212872i | 0.431572 | − | 0.902079i | \(-0.357959\pi\) |
−0.724565 | + | 0.689207i | \(0.757959\pi\) | |||||||
\(992\) | −6.95850 | + | 7.72820i | −0.220933 | + | 0.245370i | ||||
\(993\) | −1.88541 | + | 25.3434i | −0.0598318 | + | 0.804250i | ||||
\(994\) | −81.5517 | − | 17.3344i | −2.58666 | − | 0.549812i | ||||
\(995\) | −8.00119 | − | 18.2813i | −0.253655 | − | 0.579556i | ||||
\(996\) | −15.6521 | + | 12.1171i | −0.495955 | + | 0.383945i | ||||
\(997\) | 49.0961 | − | 10.4357i | 1.55489 | − | 0.330502i | 0.651272 | − | 0.758844i | \(-0.274236\pi\) |
0.903616 | + | 0.428343i | \(0.140902\pi\) | |||||||
\(998\) | −21.3059 | + | 15.4797i | −0.674428 | + | 0.490001i | ||||
\(999\) | 9.77101 | − | 43.1328i | 0.309141 | − | 1.36466i |
(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 | 225.2.q.a.211.5 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.361.24 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.586.5 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.61.24 | yes | 224 | |
25.16 | even | 5 | inner | 225.2.q.a.166.24 | yes | 224 | |
75.41 | odd | 10 | 675.2.r.a.91.5 | 224 | |||
225.16 | even | 15 | inner | 225.2.q.a.16.5 | ✓ | 224 | |
225.191 | odd | 30 | 675.2.r.a.316.24 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.5 | ✓ | 224 | 225.16 | even | 15 | inner | |
225.2.q.a.61.24 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.166.24 | yes | 224 | 25.16 | even | 5 | inner | |
225.2.q.a.211.5 | yes | 224 | 1.1 | even | 1 | trivial | |
675.2.r.a.91.5 | 224 | 75.41 | odd | 10 | |||
675.2.r.a.316.24 | 224 | 225.191 | odd | 30 | |||
675.2.r.a.361.24 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.586.5 | 224 | 9.2 | odd | 6 |