Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.38 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.38 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.454036 | − | 1.15687i | 0.321052 | − | 0.818028i | −0.675676 | − | 0.737199i | \(-0.736148\pi\) |
0.996728 | − | 0.0808287i | \(-0.0257567\pi\) | |||||||
\(3\) | 1.71544 | − | 0.239337i | 0.990407 | − | 0.138181i | ||||
\(4\) | 0.333914 | + | 0.309827i | 0.166957 | + | 0.154914i | ||||
\(5\) | −0.554147 | + | 0.266863i | −0.247822 | + | 0.119345i | −0.553672 | − | 0.832735i | \(-0.686774\pi\) |
0.305850 | + | 0.952080i | \(0.401059\pi\) | |||||||
\(6\) | 0.501990 | − | 2.09320i | 0.204936 | − | 0.854544i | ||||
\(7\) | −1.17491 | − | 2.37056i | −0.444076 | − | 0.895989i | ||||
\(8\) | 2.74944 | − | 1.32406i | 0.972074 | − | 0.468126i | ||||
\(9\) | 2.88544 | − | 0.821133i | 0.961812 | − | 0.273711i | ||||
\(10\) | 0.0571219 | + | 0.762239i | 0.0180635 | + | 0.241041i | ||||
\(11\) | 0.391646 | + | 0.491108i | 0.118086 | + | 0.148075i | 0.837361 | − | 0.546651i | \(-0.184097\pi\) |
−0.719275 | + | 0.694725i | \(0.755526\pi\) | |||||||
\(12\) | 0.646962 | + | 0.451571i | 0.186762 | + | 0.130357i | ||||
\(13\) | −0.676370 | + | 1.72336i | −0.187591 | + | 0.477975i | −0.993468 | − | 0.114108i | \(-0.963599\pi\) |
0.805877 | + | 0.592083i | \(0.201694\pi\) | |||||||
\(14\) | −3.27588 | + | 0.282894i | −0.875515 | + | 0.0756067i | ||||
\(15\) | −0.886732 | + | 0.590414i | −0.228953 | + | 0.152444i | ||||
\(16\) | −0.215333 | − | 2.87343i | −0.0538334 | − | 0.718356i | ||||
\(17\) | −0.396881 | + | 0.368251i | −0.0962577 | + | 0.0893141i | −0.726834 | − | 0.686813i | \(-0.759009\pi\) |
0.630576 | + | 0.776127i | \(0.282819\pi\) | |||||||
\(18\) | 0.360153 | − | 3.71089i | 0.0848888 | − | 0.874664i | ||||
\(19\) | −0.957228 | + | 1.65797i | −0.219603 | + | 0.380364i | −0.954687 | − | 0.297613i | \(-0.903810\pi\) |
0.735083 | + | 0.677977i | \(0.237143\pi\) | |||||||
\(20\) | −0.267719 | − | 0.0825804i | −0.0598638 | − | 0.0184655i | ||||
\(21\) | −2.58285 | − | 3.78535i | −0.563624 | − | 0.826031i | ||||
\(22\) | 0.745967 | − | 0.230100i | 0.159041 | − | 0.0490576i | ||||
\(23\) | 1.39363 | − | 6.10588i | 0.290591 | − | 1.27316i | −0.593113 | − | 0.805119i | \(-0.702101\pi\) |
0.883705 | − | 0.468045i | \(-0.155041\pi\) | |||||||
\(24\) | 4.39959 | − | 2.92938i | 0.898062 | − | 0.597957i | ||||
\(25\) | −2.88159 | + | 3.61340i | −0.576317 | + | 0.722679i | ||||
\(26\) | 1.68660 | + | 1.56494i | 0.330770 | + | 0.306910i | ||||
\(27\) | 4.75325 | − | 2.09919i | 0.914764 | − | 0.403989i | ||||
\(28\) | 0.342145 | − | 1.15559i | 0.0646594 | − | 0.218385i | ||||
\(29\) | 3.40496 | + | 1.05029i | 0.632286 | + | 0.195034i | 0.594299 | − | 0.804244i | \(-0.297429\pi\) |
0.0379866 | + | 0.999278i | \(0.487906\pi\) | |||||||
\(30\) | 0.280420 | + | 1.29390i | 0.0511975 | + | 0.236233i | ||||
\(31\) | −2.65625 | + | 4.60076i | −0.477076 | + | 0.826321i | −0.999655 | − | 0.0262705i | \(-0.991637\pi\) |
0.522578 | + | 0.852591i | \(0.324970\pi\) | |||||||
\(32\) | 2.41021 | + | 0.743450i | 0.426068 | + | 0.131425i | ||||
\(33\) | 0.789383 | + | 0.748729i | 0.137414 | + | 0.130337i | ||||
\(34\) | 0.245819 | + | 0.626337i | 0.0421576 | + | 0.107416i | ||||
\(35\) | 1.28369 | + | 1.00010i | 0.216983 | + | 0.169048i | ||||
\(36\) | 1.21790 | + | 0.619799i | 0.202983 | + | 0.103300i | ||||
\(37\) | −4.58247 | − | 1.41351i | −0.753354 | − | 0.232379i | −0.105788 | − | 0.994389i | \(-0.533737\pi\) |
−0.647566 | + | 0.762010i | \(0.724213\pi\) | |||||||
\(38\) | 1.48343 | + | 1.86016i | 0.240644 | + | 0.301758i | ||||
\(39\) | −0.747806 | + | 3.11820i | −0.119745 | + | 0.499311i | ||||
\(40\) | −1.17025 | + | 1.46745i | −0.185033 | + | 0.232024i | ||||
\(41\) | −0.614083 | − | 0.418675i | −0.0959037 | − | 0.0653861i | 0.514419 | − | 0.857539i | \(-0.328008\pi\) |
−0.610322 | + | 0.792153i | \(0.708960\pi\) | |||||||
\(42\) | −5.55185 | + | 1.26932i | −0.856669 | + | 0.195861i | ||||
\(43\) | −2.00565 | + | 1.36743i | −0.305859 | + | 0.208531i | −0.706516 | − | 0.707697i | \(-0.749734\pi\) |
0.400657 | + | 0.916228i | \(0.368782\pi\) | |||||||
\(44\) | −0.0213826 | + | 0.285331i | −0.00322354 | + | 0.0430152i | ||||
\(45\) | −1.37982 | + | 1.22504i | −0.205692 | + | 0.182619i | ||||
\(46\) | −6.43093 | − | 4.38453i | −0.948188 | − | 0.646464i | ||||
\(47\) | −0.325120 | + | 0.828391i | −0.0474236 | + | 0.120833i | −0.952623 | − | 0.304154i | \(-0.901626\pi\) |
0.905199 | + | 0.424987i | \(0.139721\pi\) | |||||||
\(48\) | −1.05711 | − | 4.87764i | −0.152580 | − | 0.704026i | ||||
\(49\) | −4.23916 | + | 5.57042i | −0.605594 | + | 0.795774i | ||||
\(50\) | 2.87187 | + | 4.97422i | 0.406143 | + | 0.703461i | ||||
\(51\) | −0.592687 | + | 0.726699i | −0.0829928 | + | 0.101758i | ||||
\(52\) | −0.759795 | + | 0.365898i | −0.105365 | + | 0.0507409i | ||||
\(53\) | −3.90823 | + | 1.20553i | −0.536836 | + | 0.165592i | −0.551306 | − | 0.834303i | \(-0.685870\pi\) |
0.0144697 | + | 0.999895i | \(0.495394\pi\) | |||||||
\(54\) | −0.270332 | − | 6.45198i | −0.0367875 | − | 0.878004i | ||||
\(55\) | −0.348088 | − | 0.167630i | −0.0469361 | − | 0.0226032i | ||||
\(56\) | −6.36912 | − | 4.96207i | −0.851110 | − | 0.663084i | ||||
\(57\) | −1.24525 | + | 3.07324i | −0.164938 | + | 0.407060i | ||||
\(58\) | 2.76102 | − | 3.46222i | 0.362540 | − | 0.454611i | ||||
\(59\) | 1.09769 | − | 0.748389i | 0.142906 | − | 0.0974320i | −0.489756 | − | 0.871859i | \(-0.662914\pi\) |
0.632663 | + | 0.774427i | \(0.281962\pi\) | |||||||
\(60\) | −0.479019 | − | 0.0775863i | −0.0618411 | − | 0.0100164i | ||||
\(61\) | −7.80656 | + | 7.24343i | −0.999528 | + | 0.927427i | −0.997363 | − | 0.0725711i | \(-0.976880\pi\) |
−0.00216487 | + | 0.999998i | \(0.500689\pi\) | |||||||
\(62\) | 4.11643 | + | 5.16184i | 0.522787 | + | 0.655554i | ||||
\(63\) | −5.33669 | − | 5.87535i | −0.672359 | − | 0.740225i | ||||
\(64\) | 5.54754 | − | 6.95640i | 0.693443 | − | 0.869550i | ||||
\(65\) | −0.0850935 | − | 1.13549i | −0.0105546 | − | 0.140841i | ||||
\(66\) | 1.22459 | − | 0.573260i | 0.150736 | − | 0.0705634i | ||||
\(67\) | −3.06176 | + | 5.30313i | −0.374054 | + | 0.647881i | −0.990185 | − | 0.139763i | \(-0.955366\pi\) |
0.616131 | + | 0.787644i | \(0.288699\pi\) | |||||||
\(68\) | −0.246619 | −0.0299069 | ||||||||
\(69\) | 0.929317 | − | 10.8078i | 0.111877 | − | 1.30110i | ||||
\(70\) | 1.73982 | − | 1.03098i | 0.207949 | − | 0.123225i | ||||
\(71\) | 0.464838 | − | 2.03659i | 0.0551661 | − | 0.241699i | −0.939826 | − | 0.341654i | \(-0.889013\pi\) |
0.994992 | + | 0.0999554i | \(0.0318700\pi\) | |||||||
\(72\) | 6.84610 | − | 6.07815i | 0.806821 | − | 0.716316i | ||||
\(73\) | −0.428904 | − | 0.0646468i | −0.0501994 | − | 0.00756634i | 0.123895 | − | 0.992295i | \(-0.460462\pi\) |
−0.174094 | + | 0.984729i | \(0.555700\pi\) | |||||||
\(74\) | −3.71585 | + | 4.65952i | −0.431958 | + | 0.541659i | ||||
\(75\) | −4.07836 | + | 6.88821i | −0.470928 | + | 0.795382i | ||||
\(76\) | −0.833316 | + | 0.257044i | −0.0955879 | + | 0.0294850i | ||||
\(77\) | 0.704054 | − | 1.50543i | 0.0802344 | − | 0.171560i | ||||
\(78\) | 3.26781 | + | 2.28089i | 0.370006 | + | 0.258260i | ||||
\(79\) | 3.84604 | + | 6.66153i | 0.432713 | + | 0.749481i | 0.997106 | − | 0.0760256i | \(-0.0242231\pi\) |
−0.564393 | + | 0.825506i | \(0.690890\pi\) | |||||||
\(80\) | 0.886137 | + | 1.53483i | 0.0990731 | + | 0.171600i | ||||
\(81\) | 7.65148 | − | 4.73865i | 0.850165 | − | 0.526517i | ||||
\(82\) | −0.763167 | + | 0.520318i | −0.0842777 | + | 0.0574596i | ||||
\(83\) | −4.35329 | − | 11.0920i | −0.477836 | − | 1.21751i | −0.943152 | − | 0.332361i | \(-0.892155\pi\) |
0.465317 | − | 0.885144i | \(-0.345940\pi\) | |||||||
\(84\) | 0.310354 | − | 2.06422i | 0.0338624 | − | 0.225225i | ||||
\(85\) | 0.121657 | − | 0.309978i | 0.0131956 | − | 0.0336218i | ||||
\(86\) | 0.671295 | + | 2.94113i | 0.0723876 | + | 0.317151i | ||||
\(87\) | 6.09237 | + | 0.986776i | 0.653171 | + | 0.105794i | ||||
\(88\) | 1.72706 | + | 0.831709i | 0.184105 | + | 0.0886605i | ||||
\(89\) | 4.94438 | + | 12.5981i | 0.524104 | + | 1.33539i | 0.910671 | + | 0.413133i | \(0.135565\pi\) |
−0.386567 | + | 0.922261i | \(0.626339\pi\) | |||||||
\(90\) | 0.790721 | + | 2.15249i | 0.0833493 | + | 0.226892i | ||||
\(91\) | 4.88002 | − | 0.421423i | 0.511565 | − | 0.0441772i | ||||
\(92\) | 2.35712 | − | 1.60706i | 0.245747 | − | 0.167547i | ||||
\(93\) | −3.45549 | + | 8.52804i | −0.358318 | + | 0.884317i | ||||
\(94\) | 0.810721 | + | 0.752239i | 0.0836195 | + | 0.0775876i | ||||
\(95\) | 0.0879946 | − | 1.17421i | 0.00902805 | − | 0.120471i | ||||
\(96\) | 4.31249 | + | 0.698490i | 0.440141 | + | 0.0712893i | ||||
\(97\) | 0.579943 | − | 1.00449i | 0.0588843 | − | 0.101991i | −0.835081 | − | 0.550128i | \(-0.814579\pi\) |
0.893965 | + | 0.448137i | \(0.147912\pi\) | |||||||
\(98\) | 4.51949 | + | 7.43331i | 0.456538 | + | 0.750877i | ||||
\(99\) | 1.53333 | + | 1.09547i | 0.154106 | + | 0.110099i | ||||
\(100\) | −2.08173 | + | 0.313771i | −0.208173 | + | 0.0313771i | ||||
\(101\) | −14.0534 | + | 6.76778i | −1.39837 | + | 0.673419i | −0.972830 | − | 0.231521i | \(-0.925630\pi\) |
−0.425539 | + | 0.904940i | \(0.639916\pi\) | |||||||
\(102\) | 0.571592 | + | 1.01561i | 0.0565961 | + | 0.100560i | ||||
\(103\) | −4.24557 | + | 2.04456i | −0.418328 | + | 0.201456i | −0.631194 | − | 0.775625i | \(-0.717435\pi\) |
0.212866 | + | 0.977082i | \(0.431720\pi\) | |||||||
\(104\) | 0.422198 | + | 5.63384i | 0.0413999 | + | 0.552443i | ||||
\(105\) | 2.44145 | + | 1.40837i | 0.238261 | + | 0.137443i | ||||
\(106\) | −0.379842 | + | 5.06865i | −0.0368936 | + | 0.492310i | ||||
\(107\) | 2.84119 | + | 7.23923i | 0.274668 | + | 0.699843i | 0.999935 | + | 0.0113756i | \(0.00362105\pi\) |
−0.725267 | + | 0.688468i | \(0.758284\pi\) | |||||||
\(108\) | 2.23757 | + | 0.771737i | 0.215310 | + | 0.0742605i | ||||
\(109\) | 3.74451 | − | 9.54087i | 0.358659 | − | 0.913849i | −0.631686 | − | 0.775225i | \(-0.717637\pi\) |
0.990345 | − | 0.138625i | \(-0.0442681\pi\) | |||||||
\(110\) | −0.351970 | + | 0.326580i | −0.0335590 | + | 0.0311382i | ||||
\(111\) | −8.19924 | − | 1.32802i | −0.778237 | − | 0.126050i | ||||
\(112\) | −6.55864 | + | 3.88649i | −0.619734 | + | 0.367239i | ||||
\(113\) | 3.03034 | + | 0.456750i | 0.285070 | + | 0.0429675i | 0.290021 | − | 0.957020i | \(-0.406338\pi\) |
−0.00495052 | + | 0.999988i | \(0.501576\pi\) | |||||||
\(114\) | 2.98993 | + | 2.83595i | 0.280033 | + | 0.265611i | ||||
\(115\) | 0.857159 | + | 3.75546i | 0.0799305 | + | 0.350198i | ||||
\(116\) | 0.811557 | + | 1.40566i | 0.0753512 | + | 0.130512i | ||||
\(117\) | −0.536513 | + | 5.52805i | −0.0496007 | + | 0.511068i | ||||
\(118\) | −0.367397 | − | 1.60967i | −0.0338216 | − | 0.148182i | ||||
\(119\) | 1.33926 | + | 0.508168i | 0.122770 | + | 0.0465837i | ||||
\(120\) | −1.65627 | + | 2.79739i | −0.151196 | + | 0.255366i | ||||
\(121\) | 2.35993 | − | 10.3395i | 0.214539 | − | 0.939957i | ||||
\(122\) | 4.83522 | + | 12.3199i | 0.437760 | + | 1.11539i | ||||
\(123\) | −1.15362 | − | 0.571237i | −0.104019 | − | 0.0515067i | ||||
\(124\) | −2.31240 | + | 0.713281i | −0.207660 | + | 0.0640545i | ||||
\(125\) | 1.31685 | − | 5.76952i | 0.117783 | − | 0.516041i | ||||
\(126\) | −9.22004 | + | 3.50620i | −0.821387 | + | 0.312358i | ||||
\(127\) | −3.52649 | − | 15.4506i | −0.312925 | − | 1.37102i | −0.849690 | − | 0.527283i | \(-0.823211\pi\) |
0.536764 | − | 0.843732i | \(-0.319646\pi\) | |||||||
\(128\) | −3.00657 | − | 5.20753i | −0.265746 | − | 0.460285i | ||||
\(129\) | −3.11329 | + | 2.82577i | −0.274110 | + | 0.248795i | ||||
\(130\) | −1.35225 | − | 0.417114i | −0.118600 | − | 0.0365833i | ||||
\(131\) | 0.197451 | + | 0.0950872i | 0.0172513 | + | 0.00830780i | 0.442490 | − | 0.896774i | \(-0.354095\pi\) |
−0.425238 | + | 0.905081i | \(0.639810\pi\) | |||||||
\(132\) | 0.0316096 | + | 0.494584i | 0.00275126 | + | 0.0430480i | ||||
\(133\) | 5.05498 | + | 0.321203i | 0.438323 | + | 0.0278518i | ||||
\(134\) | 4.74486 | + | 5.94987i | 0.409893 | + | 0.513990i | ||||
\(135\) | −2.07380 | + | 2.43173i | −0.178484 | + | 0.209290i | ||||
\(136\) | −0.603612 | + | 1.53798i | −0.0517593 | + | 0.131881i | ||||
\(137\) | 16.2851 | + | 7.84249i | 1.39133 | + | 0.670029i | 0.971383 | − | 0.237520i | \(-0.0763346\pi\) |
0.419946 | + | 0.907549i | \(0.362049\pi\) | |||||||
\(138\) | −12.0812 | − | 5.98222i | −1.02842 | − | 0.509241i | ||||
\(139\) | 12.4261 | + | 8.47195i | 1.05396 | + | 0.718581i | 0.960849 | − | 0.277074i | \(-0.0893648\pi\) |
0.0931163 | + | 0.995655i | \(0.470317\pi\) | |||||||
\(140\) | 0.118784 | + | 0.731670i | 0.0100391 | + | 0.0618374i | ||||
\(141\) | −0.359457 | + | 1.49886i | −0.0302718 | + | 0.126227i | ||||
\(142\) | −2.14501 | − | 1.46244i | −0.180005 | − | 0.122725i | ||||
\(143\) | −1.11126 | + | 0.342777i | −0.0929278 | + | 0.0286644i | ||||
\(144\) | −2.98079 | − | 8.11427i | −0.248400 | − | 0.676189i | ||||
\(145\) | −2.16713 | + | 0.326643i | −0.179971 | + | 0.0271262i | ||||
\(146\) | −0.269526 | + | 0.466832i | −0.0223061 | + | 0.0386353i | ||||
\(147\) | −5.93879 | + | 10.5703i | −0.489824 | + | 0.871822i | ||||
\(148\) | −1.09221 | − | 1.89177i | −0.0897792 | − | 0.155502i | ||||
\(149\) | −7.50423 | − | 9.41000i | −0.614770 | − | 0.770897i | 0.372828 | − | 0.927900i | \(-0.378388\pi\) |
−0.987598 | + | 0.157003i | \(0.949817\pi\) | |||||||
\(150\) | 6.11702 | + | 7.84561i | 0.499452 | + | 0.640591i | ||||
\(151\) | 3.93330 | − | 17.2329i | 0.320087 | − | 1.40239i | −0.517310 | − | 0.855798i | \(-0.673067\pi\) |
0.837397 | − | 0.546595i | \(-0.184076\pi\) | |||||||
\(152\) | −0.436592 | + | 5.82591i | −0.0354123 | + | 0.472544i | ||||
\(153\) | −0.842790 | + | 1.38846i | −0.0681356 | + | 0.112250i | ||||
\(154\) | −1.42191 | − | 1.49802i | −0.114581 | − | 0.120714i | ||||
\(155\) | 0.244180 | − | 3.25835i | 0.0196130 | − | 0.261717i | ||||
\(156\) | −1.21581 | + | 0.809521i | −0.0973424 | + | 0.0648136i | ||||
\(157\) | −1.95013 | + | 1.32957i | −0.155637 | + | 0.106112i | −0.638635 | − | 0.769510i | \(-0.720500\pi\) |
0.482997 | + | 0.875622i | \(0.339548\pi\) | |||||||
\(158\) | 9.45273 | − | 1.42477i | 0.752019 | − | 0.113349i | ||||
\(159\) | −6.41578 | + | 3.00339i | −0.508804 | + | 0.238184i | ||||
\(160\) | −1.53401 | + | 0.231214i | −0.121274 | + | 0.0182791i | ||||
\(161\) | −16.1118 | + | 3.87020i | −1.26979 | + | 0.305014i | ||||
\(162\) | −2.00793 | − | 11.0033i | −0.157758 | − | 0.864498i | ||||
\(163\) | −8.08583 | + | 5.51283i | −0.633331 | + | 0.431798i | −0.836970 | − | 0.547248i | \(-0.815675\pi\) |
0.203639 | + | 0.979046i | \(0.434723\pi\) | |||||||
\(164\) | −0.0753344 | − | 0.330061i | −0.00588263 | − | 0.0257735i | ||||
\(165\) | −0.637242 | − | 0.204249i | −0.0496092 | − | 0.0159007i | ||||
\(166\) | −14.8085 | −1.14936 | ||||||||
\(167\) | 17.7349 | − | 16.4556i | 1.37237 | − | 1.27337i | 0.446881 | − | 0.894593i | \(-0.352535\pi\) |
0.925487 | − | 0.378778i | \(-0.123656\pi\) | |||||||
\(168\) | −12.1134 | − | 6.98774i | −0.934571 | − | 0.539116i | ||||
\(169\) | 7.01717 | + | 6.51098i | 0.539782 | + | 0.500845i | ||||
\(170\) | −0.303366 | − | 0.281483i | −0.0232671 | − | 0.0215887i | ||||
\(171\) | −1.40061 | + | 5.56997i | −0.107107 | + | 0.425946i | ||||
\(172\) | −1.09338 | − | 0.164801i | −0.0833698 | − | 0.0125660i | ||||
\(173\) | 14.9608 | − | 4.61480i | 1.13745 | − | 0.350857i | 0.331859 | − | 0.943329i | \(-0.392324\pi\) |
0.805591 | + | 0.592472i | \(0.201848\pi\) | |||||||
\(174\) | 3.90772 | − | 6.60002i | 0.296244 | − | 0.500346i | ||||
\(175\) | 11.9514 | + | 2.58556i | 0.903441 | + | 0.195450i | ||||
\(176\) | 1.32683 | − | 1.23112i | 0.100013 | − | 0.0927989i | ||||
\(177\) | 1.70389 | − | 1.54653i | 0.128072 | − | 0.116244i | ||||
\(178\) | 16.8192 | 1.26065 | ||||||||
\(179\) | −3.84464 | + | 3.56731i | −0.287362 | + | 0.266633i | −0.810660 | − | 0.585516i | \(-0.800892\pi\) |
0.523299 | + | 0.852149i | \(0.324701\pi\) | |||||||
\(180\) | −0.840295 | − | 0.0184476i | −0.0626319 | − | 0.00137500i | ||||
\(181\) | −9.64599 | + | 12.0957i | −0.716981 | + | 0.899066i | −0.998163 | − | 0.0605888i | \(-0.980702\pi\) |
0.281182 | + | 0.959655i | \(0.409274\pi\) | |||||||
\(182\) | 1.72818 | − | 5.83687i | 0.128101 | − | 0.432658i | ||||
\(183\) | −11.6580 | + | 14.2940i | −0.861787 | + | 1.05665i | ||||
\(184\) | −4.25286 | − | 18.6330i | −0.313525 | − | 1.37364i | ||||
\(185\) | 2.91657 | − | 0.439603i | 0.214431 | − | 0.0323202i | ||||
\(186\) | 8.29688 | + | 7.86958i | 0.608357 | + | 0.577026i | ||||
\(187\) | −0.336288 | − | 0.0506872i | −0.0245918 | − | 0.00370662i | ||||
\(188\) | −0.365220 | + | 0.175881i | −0.0266364 | + | 0.0128274i | ||||
\(189\) | −10.5609 | − | 8.80153i | −0.768194 | − | 0.640217i | ||||
\(190\) | −1.31845 | − | 0.634930i | −0.0956501 | − | 0.0460627i | ||||
\(191\) | −19.9042 | − | 13.5705i | −1.44022 | − | 0.981925i | −0.996308 | − | 0.0858539i | \(-0.972638\pi\) |
−0.443911 | − | 0.896071i | \(-0.646409\pi\) | |||||||
\(192\) | 7.85153 | − | 13.2610i | 0.566635 | − | 0.957029i | ||||
\(193\) | 1.88998 | − | 25.2200i | 0.136044 | − | 1.81538i | −0.344914 | − | 0.938634i | \(-0.612092\pi\) |
0.480957 | − | 0.876744i | \(-0.340289\pi\) | |||||||
\(194\) | −0.898746 | − | 1.12699i | −0.0645262 | − | 0.0809133i | ||||
\(195\) | −0.417738 | − | 1.92750i | −0.0299148 | − | 0.138031i | ||||
\(196\) | −3.14138 | + | 0.546636i | −0.224385 | + | 0.0390454i | ||||
\(197\) | 15.8395 | 1.12852 | 0.564258 | − | 0.825598i | \(-0.309162\pi\) | ||||
0.564258 | + | 0.825598i | \(0.309162\pi\) | |||||||
\(198\) | 1.96350 | − | 1.27648i | 0.139540 | − | 0.0907154i | ||||
\(199\) | 11.4300 | + | 7.79284i | 0.810251 | + | 0.552420i | 0.896081 | − | 0.443890i | \(-0.146402\pi\) |
−0.0858301 | + | 0.996310i | \(0.527354\pi\) | |||||||
\(200\) | −3.13839 | + | 13.7502i | −0.221918 | + | 0.972286i | ||||
\(201\) | −3.98303 | + | 9.82997i | −0.280941 | + | 0.693353i | ||||
\(202\) | 1.44864 | + | 19.3308i | 0.101926 | + | 1.36011i | ||||
\(203\) | −1.51075 | − | 9.30569i | −0.106034 | − | 0.653132i | ||||
\(204\) | −0.423058 | + | 0.0590248i | −0.0296200 | + | 0.00413256i | ||||
\(205\) | 0.452021 | + | 0.0681312i | 0.0315705 | + | 0.00475849i | ||||
\(206\) | 0.437637 | + | 5.83985i | 0.0304916 | + | 0.406882i | ||||
\(207\) | −0.992515 | − | 18.7625i | −0.0689846 | − | 1.30408i | ||||
\(208\) | 5.09760 | + | 1.57240i | 0.353455 | + | 0.109026i | ||||
\(209\) | −1.18914 | + | 0.179233i | −0.0822542 | + | 0.0123978i | ||||
\(210\) | 2.73780 | − | 2.18498i | 0.188926 | − | 0.150778i | ||||
\(211\) | 16.4946 | + | 2.48617i | 1.13554 | + | 0.171155i | 0.689794 | − | 0.724006i | \(-0.257701\pi\) |
0.445743 | + | 0.895161i | \(0.352939\pi\) | |||||||
\(212\) | −1.67852 | − | 0.808332i | −0.115281 | − | 0.0555165i | ||||
\(213\) | 0.309970 | − | 3.60489i | 0.0212388 | − | 0.247003i | ||||
\(214\) | 9.66483 | 0.660674 | ||||||||
\(215\) | 0.746509 | − | 1.29299i | 0.0509115 | − | 0.0881813i | ||||
\(216\) | 10.2893 | − | 12.0652i | 0.700100 | − | 0.820932i | ||||
\(217\) | 14.0273 | + | 0.891318i | 0.952233 | + | 0.0605066i | ||||
\(218\) | −9.33736 | − | 8.66380i | −0.632406 | − | 0.586787i | ||||
\(219\) | −0.751229 | − | 0.00824512i | −0.0507633 | − | 0.000557154i | ||||
\(220\) | −0.0642951 | − | 0.163821i | −0.00433477 | − | 0.0110448i | ||||
\(221\) | −0.366193 | − | 0.933044i | −0.0246328 | − | 0.0627633i | ||||
\(222\) | −5.25910 | + | 8.88245i | −0.352968 | + | 0.596151i | ||||
\(223\) | −5.54108 | − | 5.14137i | −0.371058 | − | 0.344291i | 0.472499 | − | 0.881331i | \(-0.343352\pi\) |
−0.843557 | + | 0.537040i | \(0.819542\pi\) | |||||||
\(224\) | −1.06939 | − | 6.58704i | −0.0714514 | − | 0.440115i | ||||
\(225\) | −5.34756 | + | 12.7924i | −0.356504 | + | 0.852826i | ||||
\(226\) | 1.90428 | − | 3.29832i | 0.126671 | − | 0.219401i | ||||
\(227\) | −22.1374 | −1.46931 | −0.734656 | − | 0.678440i | \(-0.762656\pi\) | ||||
−0.734656 | + | 0.678440i | \(0.762656\pi\) | |||||||
\(228\) | −1.36798 | + | 0.640385i | −0.0905967 | + | 0.0424106i | ||||
\(229\) | −24.3252 | − | 11.7144i | −1.60745 | − | 0.774109i | −0.607655 | − | 0.794201i | \(-0.707890\pi\) |
−0.999798 | + | 0.0200923i | \(0.993604\pi\) | |||||||
\(230\) | 4.73374 | + | 0.713497i | 0.312134 | + | 0.0470466i | ||||
\(231\) | 0.847454 | − | 2.75097i | 0.0557584 | − | 0.181001i | ||||
\(232\) | 10.7524 | − | 1.62066i | 0.705929 | − | 0.106402i | ||||
\(233\) | −6.82976 | − | 2.10670i | −0.447433 | − | 0.138015i | 0.0628471 | − | 0.998023i | \(-0.479982\pi\) |
−0.510280 | + | 0.860008i | \(0.670458\pi\) | |||||||
\(234\) | 6.15161 | + | 3.13061i | 0.402143 | + | 0.204654i | ||||
\(235\) | −0.0409030 | − | 0.545813i | −0.00266822 | − | 0.0356049i | ||||
\(236\) | 0.598404 | + | 0.0901949i | 0.0389528 | + | 0.00587119i | ||||
\(237\) | 8.19197 | + | 10.5069i | 0.532126 | + | 0.682498i | ||||
\(238\) | 1.19596 | − | 1.31862i | 0.0775223 | − | 0.0854736i | ||||
\(239\) | −1.19514 | − | 15.9480i | −0.0773071 | − | 1.03159i | −0.892100 | − | 0.451839i | \(-0.850768\pi\) |
0.814793 | − | 0.579752i | \(-0.196851\pi\) | |||||||
\(240\) | 1.88745 | + | 2.42082i | 0.121835 | + | 0.156264i | ||||
\(241\) | 3.68594 | − | 16.1492i | 0.237432 | − | 1.04026i | −0.705874 | − | 0.708337i | \(-0.749446\pi\) |
0.943307 | − | 0.331922i | \(-0.107697\pi\) | |||||||
\(242\) | −10.8900 | − | 7.42464i | −0.700033 | − | 0.477274i | ||||
\(243\) | 11.9915 | − | 9.96013i | 0.769254 | − | 0.638943i | ||||
\(244\) | −4.85094 | −0.310549 | ||||||||
\(245\) | 0.862576 | − | 4.21810i | 0.0551080 | − | 0.269485i | ||||
\(246\) | −1.18463 | + | 1.07523i | −0.0755294 | + | 0.0685539i | ||||
\(247\) | −2.20984 | − | 2.77105i | −0.140609 | − | 0.176318i | ||||
\(248\) | −1.21151 | + | 16.1665i | −0.0769313 | + | 1.02658i | ||||
\(249\) | −10.1225 | − | 17.9857i | −0.641488 | − | 1.13980i | ||||
\(250\) | −6.07666 | − | 4.14299i | −0.384321 | − | 0.262026i | ||||
\(251\) | 6.50357 | + | 3.13196i | 0.410502 | + | 0.197687i | 0.627726 | − | 0.778434i | \(-0.283986\pi\) |
−0.217224 | + | 0.976122i | \(0.569700\pi\) | |||||||
\(252\) | 0.0383487 | − | 3.61532i | 0.00241574 | − | 0.227744i | ||||
\(253\) | 3.54445 | − | 1.70692i | 0.222838 | − | 0.107313i | ||||
\(254\) | −19.4754 | − | 2.93544i | −1.22199 | − | 0.184186i | ||||
\(255\) | 0.134506 | − | 0.560864i | 0.00842311 | − | 0.0351227i | ||||
\(256\) | 10.2069 | − | 1.53844i | 0.637929 | − | 0.0961524i | ||||
\(257\) | −5.14746 | − | 22.5525i | −0.321090 | − | 1.40679i | −0.835617 | − | 0.549312i | \(-0.814890\pi\) |
0.514528 | − | 0.857474i | \(-0.327967\pi\) | |||||||
\(258\) | 1.85548 | + | 4.88466i | 0.115517 | + | 0.304106i | ||||
\(259\) | 2.03320 | + | 12.5238i | 0.126337 | + | 0.778191i | ||||
\(260\) | 0.323393 | − | 0.405522i | 0.0200560 | − | 0.0251494i | ||||
\(261\) | 10.6872 | + | 0.234624i | 0.661523 | + | 0.0145229i | ||||
\(262\) | 0.199653 | − | 0.185251i | 0.0123346 | − | 0.0114448i | ||||
\(263\) | 10.8602 | 0.669670 | 0.334835 | − | 0.942277i | \(-0.391319\pi\) | ||||
0.334835 | + | 0.942277i | \(0.391319\pi\) | |||||||
\(264\) | 3.16172 | + | 1.01339i | 0.194591 | + | 0.0623701i | ||||
\(265\) | 1.84402 | − | 1.71100i | 0.113277 | − | 0.105106i | ||||
\(266\) | 2.66673 | − | 5.70210i | 0.163508 | − | 0.349618i | ||||
\(267\) | 11.4970 | + | 20.4278i | 0.703602 | + | 1.25016i | ||||
\(268\) | −2.66542 | + | 0.822174i | −0.162817 | + | 0.0502223i | ||||
\(269\) | −22.3592 | − | 3.37011i | −1.36326 | − | 0.205479i | −0.573659 | − | 0.819094i | \(-0.694477\pi\) |
−0.789605 | + | 0.613615i | \(0.789715\pi\) | |||||||
\(270\) | 1.87160 | + | 3.50320i | 0.113902 | + | 0.213198i | ||||
\(271\) | 19.6085 | + | 18.1940i | 1.19113 | + | 1.10521i | 0.992131 | + | 0.125208i | \(0.0399598\pi\) |
0.199000 | + | 0.980000i | \(0.436231\pi\) | |||||||
\(272\) | 1.14360 | + | 1.06111i | 0.0693412 | + | 0.0643392i | ||||
\(273\) | 8.27050 | − | 1.89089i | 0.500553 | − | 0.114442i | ||||
\(274\) | 16.4667 | − | 15.2789i | 0.994791 | − | 0.923031i | ||||
\(275\) | −2.90313 | −0.175065 | ||||||||
\(276\) | 3.65886 | − | 3.32095i | 0.220238 | − | 0.199898i | ||||
\(277\) | −6.36320 | − | 27.8790i | −0.382327 | − | 1.67509i | −0.690169 | − | 0.723648i | \(-0.742464\pi\) |
0.307842 | − | 0.951438i | \(-0.400393\pi\) | |||||||
\(278\) | 15.4428 | − | 10.5287i | 0.926197 | − | 0.631470i | ||||
\(279\) | −3.88660 | + | 15.4563i | −0.232685 | + | 0.925346i | ||||
\(280\) | 4.85362 | + | 1.05003i | 0.290059 | + | 0.0627513i | ||||
\(281\) | −10.7464 | + | 1.61976i | −0.641078 | + | 0.0966269i | −0.461533 | − | 0.887123i | \(-0.652700\pi\) |
−0.179544 | + | 0.983750i | \(0.557462\pi\) | |||||||
\(282\) | 1.57078 | + | 1.09638i | 0.0935385 | + | 0.0652886i | ||||
\(283\) | −6.38840 | + | 0.962897i | −0.379751 | + | 0.0572383i | −0.336144 | − | 0.941810i | \(-0.609123\pi\) |
−0.0436068 | + | 0.999049i | \(0.513885\pi\) | |||||||
\(284\) | 0.786207 | − | 0.536027i | 0.0466528 | − | 0.0318073i | ||||
\(285\) | −0.130081 | − | 2.03534i | −0.00770536 | − | 0.120563i | ||||
\(286\) | −0.108003 | + | 1.44121i | −0.00638638 | + | 0.0852203i | ||||
\(287\) | −0.271001 | + | 1.94763i | −0.0159967 | + | 0.114965i | ||||
\(288\) | 7.56497 | + | 0.166079i | 0.445770 | + | 0.00978629i | ||||
\(289\) | −1.24851 | + | 16.6602i | −0.0734416 | + | 0.980009i | ||||
\(290\) | −0.606075 | + | 2.65539i | −0.0355900 | + | 0.155930i | ||||
\(291\) | 0.754443 | − | 1.86194i | 0.0442262 | − | 0.109149i | ||||
\(292\) | −0.123188 | − | 0.154473i | −0.00720902 | − | 0.00903982i | ||||
\(293\) | −10.5801 | − | 18.3253i | −0.618097 | − | 1.07057i | −0.989833 | − | 0.142236i | \(-0.954571\pi\) |
0.371736 | − | 0.928338i | \(-0.378763\pi\) | |||||||
\(294\) | 9.53196 | + | 11.6697i | 0.555915 | + | 0.680589i | ||||
\(295\) | −0.408561 | + | 0.707649i | −0.0237874 | + | 0.0412009i | ||||
\(296\) | −14.4708 | + | 2.18112i | −0.841098 | + | 0.126775i | ||||
\(297\) | 2.89252 | + | 1.51222i | 0.167841 | + | 0.0877480i | ||||
\(298\) | −14.2933 | + | 4.40890i | −0.827989 | + | 0.255401i | ||||
\(299\) | 9.58004 | + | 6.53156i | 0.554028 | + | 0.377730i | ||||
\(300\) | −3.49598 | + | 1.03649i | −0.201840 | + | 0.0598416i | ||||
\(301\) | 5.59805 | + | 3.14792i | 0.322666 | + | 0.181443i | ||||
\(302\) | −18.1503 | − | 12.3747i | −1.04443 | − | 0.712081i | ||||
\(303\) | −22.4880 | + | 14.9732i | −1.29190 | + | 0.860187i | ||||
\(304\) | 4.97017 | + | 2.39351i | 0.285059 | + | 0.137277i | ||||
\(305\) | 2.39298 | − | 6.09721i | 0.137021 | − | 0.349125i | ||||
\(306\) | 1.22360 | + | 1.60541i | 0.0699486 | + | 0.0917749i | ||||
\(307\) | 15.2735 | + | 19.1524i | 0.871705 | + | 1.09308i | 0.994916 | + | 0.100704i | \(0.0321094\pi\) |
−0.123211 | + | 0.992380i | \(0.539319\pi\) | |||||||
\(308\) | 0.701517 | − | 0.284550i | 0.0399727 | − | 0.0162137i | ||||
\(309\) | −6.79366 | + | 4.52342i | −0.386478 | + | 0.257329i | ||||
\(310\) | −3.65861 | − | 1.76189i | −0.207795 | − | 0.100069i | ||||
\(311\) | 10.1671 | + | 3.13613i | 0.576522 | + | 0.177834i | 0.569285 | − | 0.822140i | \(-0.307220\pi\) |
0.00723717 | + | 0.999974i | \(0.497696\pi\) | |||||||
\(312\) | 2.07264 | + | 9.56344i | 0.117340 | + | 0.541423i | ||||
\(313\) | −2.41430 | − | 4.18169i | −0.136464 | − | 0.236363i | 0.789692 | − | 0.613504i | \(-0.210241\pi\) |
−0.926156 | + | 0.377141i | \(0.876907\pi\) | |||||||
\(314\) | 0.652710 | + | 2.85971i | 0.0368346 | + | 0.161383i | ||||
\(315\) | 4.52522 | + | 1.83164i | 0.254967 | + | 0.103201i | ||||
\(316\) | −0.779677 | + | 3.41599i | −0.0438602 | + | 0.192164i | ||||
\(317\) | −17.1700 | + | 5.29624i | −0.964363 | + | 0.297467i | −0.736660 | − | 0.676264i | \(-0.763598\pi\) |
−0.227704 | + | 0.973730i | \(0.573122\pi\) | |||||||
\(318\) | 0.561517 | + | 8.78584i | 0.0314883 | + | 0.492686i | ||||
\(319\) | 0.817732 | + | 2.08355i | 0.0457842 | + | 0.116656i | ||||
\(320\) | −1.21775 | + | 5.33530i | −0.0680741 | + | 0.298252i | ||||
\(321\) | 6.60649 | + | 11.7384i | 0.368738 | + | 0.655176i | ||||
\(322\) | −2.83803 | + | 20.3964i | −0.158157 | + | 1.13665i | ||||
\(323\) | −0.230644 | − | 1.01052i | −0.0128334 | − | 0.0562266i | ||||
\(324\) | 4.02310 | + | 0.788334i | 0.223506 | + | 0.0437963i | ||||
\(325\) | −4.27817 | − | 7.41001i | −0.237310 | − | 0.411034i | ||||
\(326\) | 2.70634 | + | 11.8572i | 0.149890 | + | 0.656712i | ||||
\(327\) | 4.13999 | − | 17.2629i | 0.228942 | − | 0.954643i | ||||
\(328\) | −2.24274 | − | 0.338038i | −0.123834 | − | 0.0186650i | ||||
\(329\) | 2.34574 | − | 0.202571i | 0.129325 | − | 0.0111681i | ||||
\(330\) | −0.525619 | + | 0.644467i | −0.0289344 | + | 0.0354767i | ||||
\(331\) | −5.04213 | + | 4.67841i | −0.277140 | + | 0.257149i | −0.806480 | − | 0.591261i | \(-0.798630\pi\) |
0.529340 | + | 0.848410i | \(0.322440\pi\) | |||||||
\(332\) | 1.98298 | − | 5.05255i | 0.108830 | − | 0.277295i | ||||
\(333\) | −14.3831 | − | 0.315762i | −0.788189 | − | 0.0173037i | ||||
\(334\) | −10.9846 | − | 27.9883i | −0.601051 | − | 1.53145i | ||||
\(335\) | 0.281457 | − | 3.75578i | 0.0153776 | − | 0.205200i | ||||
\(336\) | −10.3208 | + | 8.23674i | −0.563043 | + | 0.449351i | ||||
\(337\) | 2.16997 | + | 28.9562i | 0.118206 | + | 1.57734i | 0.669358 | + | 0.742940i | \(0.266569\pi\) |
−0.551152 | + | 0.834405i | \(0.685812\pi\) | |||||||
\(338\) | 10.7184 | − | 5.16170i | 0.583003 | − | 0.280759i | ||||
\(339\) | 5.30767 | + | 0.0582544i | 0.288273 | + | 0.00316395i | ||||
\(340\) | 0.136663 | − | 0.0658133i | 0.00741158 | − | 0.00356923i | ||||
\(341\) | −3.29978 | + | 0.497361i | −0.178693 | + | 0.0269336i | ||||
\(342\) | 5.80778 | + | 4.14929i | 0.314049 | + | 0.224368i | ||||
\(343\) | 18.1857 | + | 3.50444i | 0.981934 | + | 0.189222i | ||||
\(344\) | −3.70386 | + | 6.41527i | −0.199699 | + | 0.345888i | ||||
\(345\) | 2.36922 | + | 6.23710i | 0.127555 | + | 0.335794i | ||||
\(346\) | 1.45405 | − | 19.4029i | 0.0781702 | − | 1.04311i | ||||
\(347\) | 9.41347 | + | 8.73443i | 0.505342 | + | 0.468889i | 0.891162 | − | 0.453685i | \(-0.149891\pi\) |
−0.385820 | + | 0.922574i | \(0.626081\pi\) | |||||||
\(348\) | 1.72860 | + | 2.21708i | 0.0926627 | + | 0.118848i | ||||
\(349\) | 10.7975 | − | 7.36162i | 0.577978 | − | 0.394058i | −0.238751 | − | 0.971081i | \(-0.576738\pi\) |
0.816728 | + | 0.577022i | \(0.195785\pi\) | |||||||
\(350\) | 8.41752 | − | 12.6522i | 0.449935 | − | 0.676290i | ||||
\(351\) | 0.402709 | + | 9.61141i | 0.0214950 | + | 0.513019i | ||||
\(352\) | 0.578832 | + | 1.47484i | 0.0308519 | + | 0.0786092i | ||||
\(353\) | −11.6507 | − | 5.61070i | −0.620106 | − | 0.298627i | 0.0973296 | − | 0.995252i | \(-0.468970\pi\) |
−0.717435 | + | 0.696625i | \(0.754684\pi\) | |||||||
\(354\) | −1.01550 | − | 2.67335i | −0.0539731 | − | 0.142087i | ||||
\(355\) | 0.285902 | + | 1.25262i | 0.0151741 | + | 0.0664820i | ||||
\(356\) | −2.25223 | + | 5.73859i | −0.119368 | + | 0.304144i | ||||
\(357\) | 2.41904 | + | 0.551194i | 0.128029 | + | 0.0291723i | ||||
\(358\) | 2.38129 | + | 6.06742i | 0.125855 | + | 0.320673i | ||||
\(359\) | 17.9672 | − | 12.2499i | 0.948275 | − | 0.646523i | 0.0128010 | − | 0.999918i | \(-0.495925\pi\) |
0.935474 | + | 0.353395i | \(0.114973\pi\) | |||||||
\(360\) | −2.17171 | + | 5.19515i | −0.114459 | + | 0.273809i | ||||
\(361\) | 7.66743 | + | 13.2804i | 0.403549 | + | 0.698967i | ||||
\(362\) | 9.61346 | + | 16.6510i | 0.505272 | + | 0.875157i | ||||
\(363\) | 1.57368 | − | 18.3016i | 0.0825968 | − | 0.960585i | ||||
\(364\) | 1.76008 | + | 1.37124i | 0.0922532 | + | 0.0718728i | ||||
\(365\) | 0.254927 | − | 0.0786347i | 0.0133435 | − | 0.00411593i | ||||
\(366\) | 11.2431 | + | 19.9768i | 0.587687 | + | 1.04420i | ||||
\(367\) | 3.74487 | − | 4.69592i | 0.195481 | − | 0.245125i | −0.674425 | − | 0.738344i | \(-0.735608\pi\) |
0.869905 | + | 0.493218i | \(0.164180\pi\) | |||||||
\(368\) | −17.8449 | − | 2.68968i | −0.930229 | − | 0.140209i | ||||
\(369\) | −2.11569 | − | 0.703816i | −0.110138 | − | 0.0366392i | ||||
\(370\) | 0.815669 | − | 3.57368i | 0.0424046 | − | 0.185787i | ||||
\(371\) | 7.44961 | + | 7.84831i | 0.386764 | + | 0.407464i | ||||
\(372\) | −3.79606 | + | 1.77703i | −0.196817 | + | 0.0921347i | ||||
\(373\) | 34.2488 | 1.77333 | 0.886667 | − | 0.462409i | \(-0.153015\pi\) | ||||
0.886667 | + | 0.462409i | \(0.153015\pi\) | |||||||
\(374\) | −0.211325 | + | 0.366026i | −0.0109274 | + | 0.0189267i | ||||
\(375\) | 0.878123 | − | 10.2124i | 0.0453461 | − | 0.527366i | ||||
\(376\) | 0.202943 | + | 2.70809i | 0.0104660 | + | 0.139659i | ||||
\(377\) | −4.11305 | + | 5.15761i | −0.211833 | + | 0.265630i | ||||
\(378\) | −14.9772 | + | 8.22136i | −0.770345 | + | 0.422861i | ||||
\(379\) | −8.84667 | − | 11.0934i | −0.454423 | − | 0.569828i | 0.500857 | − | 0.865530i | \(-0.333018\pi\) |
−0.955280 | + | 0.295701i | \(0.904447\pi\) | |||||||
\(380\) | 0.393184 | − | 0.364821i | 0.0201699 | − | 0.0187149i | ||||
\(381\) | −9.74735 | − | 25.6604i | −0.499372 | − | 1.31462i | ||||
\(382\) | −24.7365 | + | 16.8650i | −1.26563 | + | 0.862890i | ||||
\(383\) | 19.5587 | − | 24.5258i | 0.999401 | − | 1.25321i | 0.0321248 | − | 0.999484i | \(-0.489773\pi\) |
0.967276 | − | 0.253725i | \(-0.0816560\pi\) | |||||||
\(384\) | −6.40393 | − | 8.21360i | −0.326799 | − | 0.419149i | ||||
\(385\) | 0.0115946 | + | 1.02211i | 0.000590917 | + | 0.0520918i | ||||
\(386\) | −28.3181 | − | 13.6373i | −1.44135 | − | 0.694119i | ||||
\(387\) | −4.66434 | + | 5.59254i | −0.237102 | + | 0.284285i | ||||
\(388\) | 0.504870 | − | 0.155732i | 0.0256309 | − | 0.00790608i | ||||
\(389\) | −6.25401 | + | 3.01177i | −0.317091 | + | 0.152703i | −0.585659 | − | 0.810558i | \(-0.699164\pi\) |
0.268568 | + | 0.963261i | \(0.413450\pi\) | |||||||
\(390\) | −2.41953 | − | 0.391889i | −0.122518 | − | 0.0198441i | ||||
\(391\) | 1.69540 | + | 2.93651i | 0.0857398 | + | 0.148506i | ||||
\(392\) | −4.27974 | + | 20.9284i | −0.216159 | + | 1.05705i | ||||
\(393\) | 0.361471 | + | 0.115859i | 0.0182338 | + | 0.00584430i | ||||
\(394\) | 7.19170 | − | 18.3242i | 0.362313 | − | 0.923158i | ||||
\(395\) | −3.90898 | − | 2.66510i | −0.196682 | − | 0.134096i | ||||
\(396\) | 0.172596 | + | 0.840861i | 0.00867328 | + | 0.0422548i | ||||
\(397\) | −1.14956 | + | 15.3398i | −0.0576947 | + | 0.769882i | 0.891063 | + | 0.453879i | \(0.149960\pi\) |
−0.948758 | + | 0.316003i | \(0.897659\pi\) | |||||||
\(398\) | 14.2049 | − | 9.68474i | 0.712028 | − | 0.485452i | ||||
\(399\) | 8.74837 | − | 0.658839i | 0.437966 | − | 0.0329832i | ||||
\(400\) | 11.0033 | + | 7.50194i | 0.550166 | + | 0.375097i | ||||
\(401\) | −16.1431 | + | 20.2428i | −0.806149 | + | 1.01088i | 0.193408 | + | 0.981118i | \(0.438046\pi\) |
−0.999557 | + | 0.0297609i | \(0.990525\pi\) | |||||||
\(402\) | 9.56352 | + | 9.07099i | 0.476985 | + | 0.452420i | ||||
\(403\) | −6.13217 | − | 7.68950i | −0.305465 | − | 0.383041i | ||||
\(404\) | −6.78949 | − | 2.09428i | −0.337790 | − | 0.104194i | ||||
\(405\) | −2.97547 | + | 4.66780i | −0.147852 | + | 0.231945i | ||||
\(406\) | −11.4514 | − | 2.47739i | −0.568322 | − | 0.122951i | ||||
\(407\) | −1.10052 | − | 2.80408i | −0.0545508 | − | 0.138993i | ||||
\(408\) | −0.667363 | + | 2.78277i | −0.0330394 | + | 0.137768i | ||||
\(409\) | −29.6218 | − | 9.13712i | −1.46471 | − | 0.451802i | −0.543013 | − | 0.839724i | \(-0.682717\pi\) |
−0.921692 | + | 0.387922i | \(0.873193\pi\) | |||||||
\(410\) | 0.284053 | − | 0.491994i | 0.0140284 | − | 0.0242978i | ||||
\(411\) | 29.8130 | + | 9.55566i | 1.47057 | + | 0.471346i | ||||
\(412\) | −2.05112 | − | 0.632685i | −0.101051 | − | 0.0311702i | ||||
\(413\) | −3.06379 | − | 1.72284i | −0.150759 | − | 0.0847755i | ||||
\(414\) | −22.1563 | − | 7.37064i | −1.08892 | − | 0.362247i | ||||
\(415\) | 5.37240 | + | 4.98486i | 0.263721 | + | 0.244697i | ||||
\(416\) | −2.91143 | + | 3.65081i | −0.142744 | + | 0.178996i | ||||
\(417\) | 23.3438 | + | 11.5591i | 1.14315 | + | 0.566050i | ||||
\(418\) | −0.332562 | + | 1.45705i | −0.0162661 | + | 0.0712666i | ||||
\(419\) | 26.5324 | − | 8.18416i | 1.29619 | − | 0.399822i | 0.431495 | − | 0.902115i | \(-0.357986\pi\) |
0.864698 | + | 0.502293i | \(0.167510\pi\) | |||||||
\(420\) | 0.378882 | + | 1.22670i | 0.0184876 | + | 0.0598570i | ||||
\(421\) | −10.6092 | − | 3.27250i | −0.517060 | − | 0.159492i | 0.0252324 | − | 0.999682i | \(-0.491967\pi\) |
−0.542293 | + | 0.840190i | \(0.682444\pi\) | |||||||
\(422\) | 10.3653 | − | 17.9533i | 0.504576 | − | 0.873951i | ||||
\(423\) | −0.257893 | + | 2.65724i | −0.0125392 | + | 0.129199i | ||||
\(424\) | −9.14924 | + | 8.48925i | −0.444326 | + | 0.412274i | ||||
\(425\) | −0.186992 | − | 2.49523i | −0.00907044 | − | 0.121037i | ||||
\(426\) | −4.02963 | − | 1.99534i | −0.195236 | − | 0.0966747i | ||||
\(427\) | 26.3431 | + | 9.99556i | 1.27483 | + | 0.483719i | ||||
\(428\) | −1.29420 | + | 3.29756i | −0.0625574 | + | 0.159394i | ||||
\(429\) | −1.82425 | + | 0.853975i | −0.0880755 | + | 0.0412303i | ||||
\(430\) | −1.15688 | − | 1.45068i | −0.0557895 | − | 0.0699578i | ||||
\(431\) | 0.342015 | + | 4.56387i | 0.0164743 | + | 0.219834i | 0.999365 | + | 0.0356422i | \(0.0113477\pi\) |
−0.982890 | + | 0.184192i | \(0.941033\pi\) | |||||||
\(432\) | −7.05540 | − | 13.2061i | −0.339453 | − | 0.635378i | ||||
\(433\) | −20.3405 | + | 9.79549i | −0.977504 | + | 0.470741i | −0.853246 | − | 0.521509i | \(-0.825369\pi\) |
−0.124258 | + | 0.992250i | \(0.539655\pi\) | |||||||
\(434\) | 7.40002 | − | 15.8230i | 0.355212 | − | 0.759527i | ||||
\(435\) | −3.63940 | + | 1.07901i | −0.174496 | + | 0.0517345i | ||||
\(436\) | 4.20637 | − | 2.02568i | 0.201449 | − | 0.0970125i | ||||
\(437\) | 8.78934 | + | 8.15531i | 0.420451 | + | 0.390121i | ||||
\(438\) | −0.350624 | + | 0.865327i | −0.0167534 | + | 0.0413469i | ||||
\(439\) | −9.68603 | + | 24.6796i | −0.462289 | + | 1.17789i | 0.489736 | + | 0.871871i | \(0.337093\pi\) |
−0.952024 | + | 0.306022i | \(0.901002\pi\) | |||||||
\(440\) | −1.17900 | −0.0562065 | ||||||||
\(441\) | −7.65776 | + | 19.5540i | −0.364655 | + | 0.931143i | ||||
\(442\) | −1.24567 | −0.0592505 | ||||||||
\(443\) | −2.44928 | + | 6.24066i | −0.116369 | + | 0.296503i | −0.977177 | − | 0.212427i | \(-0.931863\pi\) |
0.860808 | + | 0.508929i | \(0.169959\pi\) | |||||||
\(444\) | −2.32639 | − | 2.98379i | −0.110405 | − | 0.141605i | ||||
\(445\) | −6.10187 | − | 5.66171i | −0.289257 | − | 0.268391i | ||||
\(446\) | −8.46372 | + | 4.07591i | −0.400769 | + | 0.193000i | ||||
\(447\) | −15.1252 | − | 14.3462i | −0.715396 | − | 0.678553i | ||||
\(448\) | −23.0085 | − | 4.97764i | −1.08705 | − | 0.235172i | ||||
\(449\) | 3.95311 | − | 1.90372i | 0.186559 | − | 0.0898419i | −0.338273 | − | 0.941048i | \(-0.609843\pi\) |
0.524831 | + | 0.851206i | \(0.324128\pi\) | |||||||
\(450\) | 12.3711 | + | 11.9946i | 0.583179 | + | 0.565431i | ||||
\(451\) | −0.0348884 | − | 0.465553i | −0.00164283 | − | 0.0219221i | ||||
\(452\) | 0.870361 | + | 1.09140i | 0.0409383 | + | 0.0513350i | ||||
\(453\) | 2.62285 | − | 30.5033i | 0.123232 | − | 1.43317i | ||||
\(454\) | −10.0512 | + | 25.6100i | −0.471726 | + | 1.20194i | ||||
\(455\) | −2.59179 | + | 1.53583i | −0.121505 | + | 0.0720007i | ||||
\(456\) | 0.645409 | + | 10.0985i | 0.0302240 | + | 0.472904i | ||||
\(457\) | 0.628338 | + | 8.38459i | 0.0293924 | + | 0.392215i | 0.992427 | + | 0.122837i | \(0.0391991\pi\) |
−0.963035 | + | 0.269378i | \(0.913182\pi\) | |||||||
\(458\) | −24.5965 | + | 22.8222i | −1.14932 | + | 1.06641i | ||||
\(459\) | −1.11344 | + | 2.58352i | −0.0519711 | + | 0.120588i | ||||
\(460\) | −0.877326 | + | 1.51957i | −0.0409055 | + | 0.0708505i | ||||
\(461\) | −11.8273 | − | 3.64825i | −0.550854 | − | 0.169916i | 0.00681868 | − | 0.999977i | \(-0.497830\pi\) |
−0.557673 | + | 0.830061i | \(0.688306\pi\) | |||||||
\(462\) | −2.79773 | − | 2.22943i | −0.130162 | − | 0.103723i | ||||
\(463\) | −8.26038 | + | 2.54799i | −0.383892 | + | 0.118415i | −0.480694 | − | 0.876889i | \(-0.659615\pi\) |
0.0968012 | + | 0.995304i | \(0.469139\pi\) | |||||||
\(464\) | 2.28473 | − | 10.0101i | 0.106066 | − | 0.464706i | ||||
\(465\) | −0.360968 | − | 5.64793i | −0.0167395 | − | 0.261916i | ||||
\(466\) | −5.53813 | + | 6.94460i | −0.256549 | + | 0.321702i | ||||
\(467\) | 17.9730 | + | 16.6765i | 0.831691 | + | 0.771697i | 0.975985 | − | 0.217838i | \(-0.0699006\pi\) |
−0.144294 | + | 0.989535i | \(0.546091\pi\) | |||||||
\(468\) | −1.89189 | + | 1.67967i | −0.0874526 | + | 0.0776427i | ||||
\(469\) | 16.1687 | + | 1.02739i | 0.746603 | + | 0.0474405i | ||||
\(470\) | −0.650003 | − | 0.200499i | −0.0299824 | − | 0.00924835i | ||||
\(471\) | −3.02710 | + | 2.74754i | −0.139481 | + | 0.126600i | ||||
\(472\) | 2.02711 | − | 3.51105i | 0.0933051 | − | 0.161609i | ||||
\(473\) | −1.45706 | − | 0.449444i | −0.0669958 | − | 0.0206655i | ||||
\(474\) | 15.8746 | − | 4.70649i | 0.729142 | − | 0.216176i | ||||
\(475\) | −3.23256 | − | 8.23642i | −0.148320 | − | 0.377913i | ||||
\(476\) | 0.289755 | + | 0.584625i | 0.0132809 | + | 0.0267963i | ||||
\(477\) | −10.2870 | + | 6.68764i | −0.471011 | + | 0.306206i | ||||
\(478\) | −18.9923 | − | 5.85836i | −0.868689 | − | 0.267955i | ||||
\(479\) | −10.0977 | − | 12.6621i | −0.461376 | − | 0.578548i | 0.495660 | − | 0.868517i | \(-0.334926\pi\) |
−0.957036 | + | 0.289969i | \(0.906355\pi\) | |||||||
\(480\) | −2.57615 | + | 0.763777i | −0.117585 | + | 0.0348615i | ||||
\(481\) | 5.53543 | − | 6.94121i | 0.252394 | − | 0.316492i | ||||
\(482\) | −17.0089 | − | 11.5964i | −0.774733 | − | 0.528204i | ||||
\(483\) | −26.7124 | + | 10.4952i | −1.21546 | + | 0.477549i | ||||
\(484\) | 3.99148 | − | 2.72135i | 0.181431 | − | 0.123698i | ||||
\(485\) | −0.0533121 | + | 0.711400i | −0.00242078 | + | 0.0323030i | ||||
\(486\) | −6.07796 | − | 18.3948i | −0.275702 | − | 0.834405i | ||||
\(487\) | 22.3734 | + | 15.2539i | 1.01384 | + | 0.691221i | 0.951758 | − | 0.306850i | \(-0.0992749\pi\) |
0.0620777 | + | 0.998071i | \(0.480227\pi\) | |||||||
\(488\) | −11.8729 | + | 30.2517i | −0.537462 | + | 1.36943i | ||||
\(489\) | −12.5513 | + | 11.3921i | −0.567589 | + | 0.515170i | ||||
\(490\) | −4.48814 | − | 2.91306i | −0.202753 | − | 0.131598i | ||||
\(491\) | 14.0322 | + | 24.3045i | 0.633264 | + | 1.09685i | 0.986880 | + | 0.161455i | \(0.0516187\pi\) |
−0.353616 | + | 0.935391i | \(0.615048\pi\) | |||||||
\(492\) | −0.208227 | − | 0.548169i | −0.00938760 | − | 0.0247134i | ||||
\(493\) | −1.73814 | + | 0.837042i | −0.0782817 | + | 0.0376985i | ||||
\(494\) | −4.20908 | + | 1.29833i | −0.189376 | + | 0.0584147i | ||||
\(495\) | −1.14203 | − | 0.197860i | −0.0513305 | − | 0.00889314i | ||||
\(496\) | 13.7919 | + | 6.64184i | 0.619275 | + | 0.298227i | ||||
\(497\) | −5.37401 | + | 1.29089i | −0.241057 | + | 0.0579042i | ||||
\(498\) | −25.4030 | + | 3.54422i | −1.13834 | + | 0.158820i | ||||
\(499\) | 5.40226 | − | 6.77421i | 0.241838 | − | 0.303255i | −0.646068 | − | 0.763280i | \(-0.723588\pi\) |
0.887906 | + | 0.460024i | \(0.152159\pi\) | |||||||
\(500\) | 2.22727 | − | 1.51853i | 0.0996066 | − | 0.0679106i | ||||
\(501\) | 26.4847 | − | 32.4731i | 1.18325 | − | 1.45079i | ||||
\(502\) | 6.57611 | − | 6.10174i | 0.293506 | − | 0.272334i | ||||
\(503\) | 20.8507 | + | 26.1459i | 0.929685 | + | 1.16579i | 0.985894 | + | 0.167369i | \(0.0535272\pi\) |
−0.0562091 | + | 0.998419i | \(0.517901\pi\) | |||||||
\(504\) | −22.4522 | − | 9.08784i | −1.00010 | − | 0.404804i | ||||
\(505\) | 5.98160 | − | 7.50068i | 0.266178 | − | 0.333776i | ||||
\(506\) | −0.365365 | − | 4.87546i | −0.0162425 | − | 0.216741i | ||||
\(507\) | 13.5958 | + | 9.48970i | 0.603811 | + | 0.421452i | ||||
\(508\) | 3.60946 | − | 6.25177i | 0.160144 | − | 0.277377i | ||||
\(509\) | 3.05718 | 0.135507 | 0.0677537 | − | 0.997702i | \(-0.478417\pi\) | ||||
0.0677537 | + | 0.997702i | \(0.478417\pi\) | |||||||
\(510\) | −0.587774 | − | 0.410258i | −0.0260271 | − | 0.0181666i | ||||
\(511\) | 0.350675 | + | 1.09270i | 0.0155130 | + | 0.0483381i | ||||
\(512\) | 5.53062 | − | 24.2312i | 0.244421 | − | 1.07088i | ||||
\(513\) | −1.06956 | + | 9.89014i | −0.0472221 | + | 0.436661i | ||||
\(514\) | −28.4273 | − | 4.28473i | −1.25388 | − | 0.188991i | ||||
\(515\) | 1.80705 | − | 2.26597i | 0.0796281 | − | 0.0998505i | ||||
\(516\) | −1.91507 | − | 0.0210189i | −0.0843064 | − | 0.000925306i | ||||
\(517\) | −0.534161 | + | 0.164767i | −0.0234924 | + | 0.00724644i | ||||
\(518\) | 15.4115 | + | 3.33412i | 0.677142 | + | 0.146493i | ||||
\(519\) | 24.5598 | − | 11.4971i | 1.07806 | − | 0.504665i | ||||
\(520\) | −1.73742 | − | 3.00930i | −0.0761910 | − | 0.131967i | ||||
\(521\) | −17.3397 | − | 30.0332i | −0.759664 | − | 1.31578i | −0.943022 | − | 0.332731i | \(-0.892030\pi\) |
0.183357 | − | 0.983046i | \(-0.441303\pi\) | |||||||
\(522\) | 5.12382 | − | 12.2572i | 0.224264 | − | 0.536482i | ||||
\(523\) | 14.2379 | − | 9.70725i | 0.622581 | − | 0.424468i | −0.210520 | − | 0.977590i | \(-0.567516\pi\) |
0.833101 | + | 0.553121i | \(0.186563\pi\) | |||||||
\(524\) | 0.0364710 | + | 0.0929265i | 0.00159324 | + | 0.00405951i | ||||
\(525\) | 21.1207 | + | 1.57496i | 0.921782 | + | 0.0687367i | ||||
\(526\) | 4.93094 | − | 12.5638i | 0.214999 | − | 0.547809i | ||||
\(527\) | −0.640022 | − | 2.80412i | −0.0278798 | − | 0.122149i | ||||
\(528\) | 1.98144 | − | 2.42946i | 0.0862309 | − | 0.105729i | ||||
\(529\) | −14.6173 | − | 7.03932i | −0.635534 | − | 0.306057i | ||||
\(530\) | −1.14215 | − | 2.91014i | −0.0496116 | − | 0.126408i | ||||
\(531\) | 2.55277 | − | 3.06077i | 0.110781 | − | 0.132826i | ||||
\(532\) | 1.58841 | + | 1.67343i | 0.0688665 | + | 0.0725522i | ||||
\(533\) | 1.13688 | − | 0.775110i | 0.0492436 | − | 0.0335737i | ||||
\(534\) | 28.8523 | − | 4.02545i | 1.24856 | − | 0.174198i | ||||
\(535\) | −3.50632 | − | 3.25339i | −0.151591 | − | 0.140656i | ||||
\(536\) | −1.39647 | + | 18.6346i | −0.0603183 | + | 0.804892i | ||||
\(537\) | −5.74145 | + | 7.03964i | −0.247762 | + | 0.303783i | ||||
\(538\) | −14.0506 | + | 24.3364i | −0.605766 | + | 1.04922i | ||||
\(539\) | −4.39592 | + | 0.0997454i | −0.189346 | + | 0.00429634i | ||||
\(540\) | −1.44589 | + | 0.169468i | −0.0622211 | + | 0.00729273i | ||||
\(541\) | −0.778220 | + | 0.117298i | −0.0334583 | + | 0.00504303i | −0.165750 | − | 0.986168i | \(-0.553005\pi\) |
0.132292 | + | 0.991211i | \(0.457766\pi\) | |||||||
\(542\) | 29.9510 | − | 14.4236i | 1.28651 | − | 0.619548i | ||||
\(543\) | −13.6521 | + | 23.0580i | −0.585869 | + | 0.989514i | ||||
\(544\) | −1.23034 | + | 0.592501i | −0.0527504 | + | 0.0254033i | ||||
\(545\) | 0.471094 | + | 6.28631i | 0.0201794 | + | 0.269276i | ||||
\(546\) | 1.56760 | − | 10.4264i | 0.0670871 | − | 0.446208i | ||||
\(547\) | −0.568962 | + | 7.59227i | −0.0243271 | + | 0.324622i | 0.971742 | + | 0.236045i | \(0.0758511\pi\) |
−0.996069 | + | 0.0885775i | \(0.971768\pi\) | |||||||
\(548\) | 3.00801 | + | 7.66428i | 0.128496 | + | 0.327402i | ||||
\(549\) | −16.5775 | + | 27.3107i | −0.707511 | + | 1.16559i | ||||
\(550\) | −1.31813 | + | 3.35853i | −0.0562051 | + | 0.143208i | ||||
\(551\) | −5.00068 | + | 4.63995i | −0.213036 | + | 0.197669i | ||||
\(552\) | −11.7551 | − | 30.9458i | −0.500329 | − | 1.31714i | ||||
\(553\) | 11.2728 | − | 16.9440i | 0.479369 | − | 0.720532i | ||||
\(554\) | −35.1414 | − | 5.29671i | −1.49301 | − | 0.225036i | ||||
\(555\) | 4.89798 | − | 1.45215i | 0.207908 | − | 0.0616405i | ||||
\(556\) | 1.52440 | + | 6.67884i | 0.0646490 | + | 0.283246i | ||||
\(557\) | 16.2620 | + | 28.1667i | 0.689045 | + | 1.19346i | 0.972147 | + | 0.234371i | \(0.0753031\pi\) |
−0.283102 | + | 0.959090i | \(0.591364\pi\) | |||||||
\(558\) | 16.1162 | + | 11.5140i | 0.682255 | + | 0.487427i | ||||
\(559\) | −1.00002 | − | 4.38136i | −0.0422962 | − | 0.185312i | ||||
\(560\) | 2.59729 | − | 3.90394i | 0.109756 | − | 0.164972i | ||||
\(561\) | −0.589011 | − | 0.00646470i | −0.0248681 | − | 0.000272940i | ||||
\(562\) | −3.00542 | + | 13.1676i | −0.126776 | + | 0.555441i | ||||
\(563\) | −3.22975 | − | 8.22928i | −0.136118 | − | 0.346823i | 0.846520 | − | 0.532357i | \(-0.178694\pi\) |
−0.982638 | + | 0.185534i | \(0.940598\pi\) | |||||||
\(564\) | −0.584417 | + | 0.389123i | −0.0246084 | + | 0.0163850i | ||||
\(565\) | −1.80114 | + | 0.555579i | −0.0757746 | + | 0.0233734i | ||||
\(566\) | −1.78662 | + | 7.82771i | −0.0750974 | + | 0.329023i | ||||
\(567\) | −20.2231 | − | 12.5708i | −0.849291 | − | 0.527925i | ||||
\(568\) | −1.41852 | − | 6.21495i | −0.0595199 | − | 0.260774i | ||||
\(569\) | 5.22975 | + | 9.05819i | 0.219242 | + | 0.379739i | 0.954577 | − | 0.297966i | \(-0.0963081\pi\) |
−0.735334 | + | 0.677705i | \(0.762975\pi\) | |||||||
\(570\) | −2.41367 | − | 0.773629i | −0.101098 | − | 0.0324038i | ||||
\(571\) | 13.3558 | + | 4.11972i | 0.558923 | + | 0.172405i | 0.561330 | − | 0.827592i | \(-0.310290\pi\) |
−0.00240686 | + | 0.999997i | \(0.500766\pi\) | |||||||
\(572\) | −0.477266 | − | 0.229839i | −0.0199555 | − | 0.00961005i | ||||
\(573\) | −37.3923 | − | 18.5155i | −1.56209 | − | 0.773494i | ||||
\(574\) | 2.13010 | + | 1.19781i | 0.0889088 | + | 0.0499955i | ||||
\(575\) | 18.0471 | + | 22.6303i | 0.752616 | + | 0.943751i | ||||
\(576\) | 10.2950 | − | 24.6275i | 0.428956 | − | 1.02615i | ||||
\(577\) | 10.3085 | − | 26.2657i | 0.429150 | − | 1.09346i | −0.538827 | − | 0.842416i | \(-0.681132\pi\) |
0.967977 | − | 0.251039i | \(-0.0807723\pi\) | |||||||
\(578\) | 18.7067 | + | 9.00867i | 0.778096 | + | 0.374711i | ||||
\(579\) | −2.79394 | − | 43.7157i | −0.116112 | − | 1.81676i | ||||
\(580\) | −0.824840 | − | 0.562366i | −0.0342496 | − | 0.0233510i | ||||
\(581\) | −21.1796 | + | 23.3519i | −0.878677 | + | 0.968800i | ||||
\(582\) | −1.81147 | − | 1.71818i | −0.0750879 | − | 0.0712208i | ||||
\(583\) | −2.12268 | − | 1.44722i | −0.0879126 | − | 0.0599378i | ||||
\(584\) | −1.26484 | + | 0.390152i | −0.0523395 | + | 0.0161446i | ||||
\(585\) | −1.17792 | − | 3.20652i | −0.0487011 | − | 0.132573i | ||||
\(586\) | −26.0036 | + | 3.91942i | −1.07420 | + | 0.161910i | ||||
\(587\) | 20.4249 | − | 35.3769i | 0.843025 | − | 1.46016i | −0.0443011 | − | 0.999018i | \(-0.514106\pi\) |
0.887326 | − | 0.461143i | \(-0.152561\pi\) | |||||||
\(588\) | −5.25801 | + | 1.68957i | −0.216837 | + | 0.0696766i | ||||
\(589\) | −5.08528 | − | 8.80795i | −0.209535 | − | 0.362925i | ||||
\(590\) | 0.633153 | + | 0.793949i | 0.0260665 | + | 0.0326863i | ||||
\(591\) | 27.1716 | − | 3.79097i | 1.11769 | − | 0.155940i | ||||
\(592\) | −3.07484 | + | 13.4718i | −0.126375 | + | 0.553686i | ||||
\(593\) | −1.13904 | + | 15.1995i | −0.0467750 | + | 0.624168i | 0.923723 | + | 0.383060i | \(0.125130\pi\) |
−0.970498 | + | 0.241108i | \(0.922489\pi\) | |||||||
\(594\) | 3.06275 | − | 2.65965i | 0.125666 | − | 0.109127i | ||||
\(595\) | −0.877760 | + | 0.0758005i | −0.0359846 | + | 0.00310752i | ||||
\(596\) | 0.409706 | − | 5.46715i | 0.0167822 | − | 0.223943i | ||||
\(597\) | 21.4725 | + | 10.6325i | 0.878812 | + | 0.435159i | ||||
\(598\) | 11.9058 | − | 8.11726i | 0.486866 | − | 0.331939i | ||||
\(599\) | −36.3453 | + | 5.47817i | −1.48503 | + | 0.223832i | −0.840944 | − | 0.541122i | \(-0.818000\pi\) |
−0.644085 | + | 0.764954i | \(0.722762\pi\) | |||||||
\(600\) | −2.09279 | + | 24.3387i | −0.0854376 | + | 0.993624i | ||||
\(601\) | 34.4396 | − | 5.19093i | 1.40482 | − | 0.211742i | 0.597506 | − | 0.801865i | \(-0.296159\pi\) |
0.807314 | + | 0.590122i | \(0.200920\pi\) | |||||||
\(602\) | 6.18344 | − | 5.04693i | 0.252018 | − | 0.205697i | ||||
\(603\) | −4.47995 | + | 17.8160i | −0.182438 | + | 0.725522i | ||||
\(604\) | 6.65260 | − | 4.53567i | 0.270691 | − | 0.184554i | ||||
\(605\) | 1.45149 | + | 6.35939i | 0.0590114 | + | 0.258546i | ||||
\(606\) | 7.11161 | + | 32.8140i | 0.288889 | + | 1.33298i | ||||
\(607\) | 1.73696 | 0.0705011 | 0.0352505 | − | 0.999379i | \(-0.488777\pi\) | ||||
0.0352505 | + | 0.999379i | \(0.488777\pi\) | |||||||
\(608\) | −3.53973 | + | 3.28439i | −0.143555 | + | 0.133200i | ||||
\(609\) | −4.81879 | − | 15.6017i | −0.195267 | − | 0.632214i | ||||
\(610\) | −5.96715 | − | 5.53671i | −0.241603 | − | 0.224175i | ||||
\(611\) | −1.20772 | − | 1.12060i | −0.0488590 | − | 0.0453346i | ||||
\(612\) | −0.711602 | + | 0.202507i | −0.0287648 | + | 0.00818584i | ||||
\(613\) | −36.2650 | − | 5.46608i | −1.46473 | − | 0.220773i | −0.632224 | − | 0.774786i | \(-0.717858\pi\) |
−0.832508 | + | 0.554013i | \(0.813096\pi\) | |||||||
\(614\) | 29.0915 | − | 8.97353i | 1.17404 | − | 0.362142i | ||||
\(615\) | 0.791719 | + | 0.00868953i | 0.0319252 | + | 0.000350396i | ||||
\(616\) | −0.0575276 | − | 5.07130i | −0.00231785 | − | 0.204328i | ||||
\(617\) | −15.0610 | + | 13.9746i | −0.606334 | + | 0.562596i | −0.922446 | − | 0.386126i | \(-0.873813\pi\) |
0.316112 | + | 0.948722i | \(0.397622\pi\) | |||||||
\(618\) | 2.14843 | + | 9.91315i | 0.0864224 | + | 0.398765i | ||||
\(619\) | −0.959573 | −0.0385685 | −0.0192842 | − | 0.999814i | \(-0.506139\pi\) | ||||
−0.0192842 | + | 0.999814i | \(0.506139\pi\) | |||||||
\(620\) | 1.09106 | − | 1.01236i | 0.0438181 | − | 0.0406572i | ||||
\(621\) | −6.19314 | − | 31.9483i | −0.248522 | − | 1.28204i | ||||
\(622\) | 8.24430 | − | 10.3380i | 0.330566 | − | 0.414517i | ||||
\(623\) | 24.0554 | − | 26.5226i | 0.963757 | − | 1.06261i | ||||
\(624\) | 9.12094 | + | 1.47731i | 0.365130 | + | 0.0591398i | ||||
\(625\) | −4.33219 | − | 18.9806i | −0.173288 | − | 0.759223i | ||||
\(626\) | −5.93383 | + | 0.894381i | −0.237164 | + | 0.0357467i | ||||
\(627\) | −1.99699 | + | 0.592067i | −0.0797520 | + | 0.0236449i | ||||
\(628\) | −1.06311 | − | 0.160239i | −0.0424229 | − | 0.00639422i | ||||
\(629\) | 2.33922 | − | 1.12651i | 0.0932708 | − | 0.0449169i | ||||
\(630\) | 4.17358 | − | 4.40344i | 0.166279 | − | 0.175437i | ||||
\(631\) | −14.8985 | − | 7.17473i | −0.593099 | − | 0.285621i | 0.113158 | − | 0.993577i | \(-0.463903\pi\) |
−0.706257 | + | 0.707956i | \(0.749618\pi\) | |||||||
\(632\) | 19.3947 | + | 13.2231i | 0.771480 | + | 0.525986i | ||||
\(633\) | 28.8905 | + | 0.317088i | 1.14829 | + | 0.0126031i | ||||
\(634\) | −1.66876 | + | 22.2681i | −0.0662750 | + | 0.884378i | ||||
\(635\) | 6.07737 | + | 7.62079i | 0.241173 | + | 0.302422i | ||||
\(636\) | −3.07285 | − | 0.984910i | −0.121847 | − | 0.0390542i | ||||
\(637\) | −6.73261 | − | 11.0733i | −0.266756 | − | 0.438739i | ||||
\(638\) | 2.78166 | 0.110127 | ||||||||
\(639\) | −0.331049 | − | 6.25814i | −0.0130961 | − | 0.247568i | ||||
\(640\) | 3.05578 | + | 2.08339i | 0.120790 | + | 0.0823534i | ||||
\(641\) | −2.10845 | + | 9.23771i | −0.0832787 | + | 0.364868i | −0.999346 | − | 0.0361565i | \(-0.988489\pi\) |
0.916067 | + | 0.401024i | \(0.131346\pi\) | |||||||
\(642\) | 16.5794 | − | 2.31315i | 0.654336 | − | 0.0912926i | ||||
\(643\) | 0.253002 | + | 3.37608i | 0.00997744 | + | 0.133140i | 0.999968 | − | 0.00799354i | \(-0.00254445\pi\) |
−0.989991 | + | 0.141133i | \(0.954925\pi\) | |||||||
\(644\) | −6.57905 | − | 3.69955i | −0.259251 | − | 0.145783i | ||||
\(645\) | 0.971128 | − | 2.39671i | 0.0382381 | − | 0.0943704i | ||||
\(646\) | −1.27375 | − | 0.191987i | −0.0501151 | − | 0.00755364i | ||||
\(647\) | 1.93099 | + | 25.7673i | 0.0759152 | + | 1.01302i | 0.896948 | + | 0.442137i | \(0.145779\pi\) |
−0.821033 | + | 0.570881i | \(0.806602\pi\) | |||||||
\(648\) | 14.7630 | − | 23.1597i | 0.579946 | − | 0.909797i | ||||
\(649\) | 0.797443 | + | 0.245979i | 0.0313024 | + | 0.00965551i | ||||
\(650\) | −10.5148 | + | 1.58486i | −0.412426 | + | 0.0621632i | ||||
\(651\) | 24.2762 | − | 1.82824i | 0.951459 | − | 0.0716543i | ||||
\(652\) | −4.40800 | − | 0.664399i | −0.172631 | − | 0.0260199i | ||||
\(653\) | 38.6850 | + | 18.6297i | 1.51386 | + | 0.729036i | 0.992263 | − | 0.124156i | \(-0.0396222\pi\) |
0.521597 | + | 0.853192i | \(0.325336\pi\) | |||||||
\(654\) | −18.0912 | − | 12.6274i | −0.707422 | − | 0.493771i | ||||
\(655\) | −0.134792 | −0.00526675 | ||||||||
\(656\) | −1.07080 | + | 1.85468i | −0.0418077 | + | 0.0724130i | ||||
\(657\) | −1.29066 | + | 0.165652i | −0.0503533 | + | 0.00646272i | ||||
\(658\) | 0.830705 | − | 2.80568i | 0.0323843 | − | 0.109377i | ||||
\(659\) | 14.6951 | + | 13.6350i | 0.572438 | + | 0.531145i | 0.912403 | − | 0.409293i | \(-0.134225\pi\) |
−0.339965 | + | 0.940438i | \(0.610415\pi\) | |||||||
\(660\) | −0.149502 | − | 0.265636i | −0.00581937 | − | 0.0103399i | ||||
\(661\) | −14.0100 | − | 35.6969i | −0.544925 | − | 1.38845i | −0.892607 | − | 0.450835i | \(-0.851126\pi\) |
0.347682 | − | 0.937613i | \(-0.386969\pi\) | |||||||
\(662\) | 3.12298 | + | 7.95723i | 0.121378 | + | 0.309267i | ||||
\(663\) | −0.851492 | − | 1.51293i | −0.0330692 | − | 0.0587575i | ||||
\(664\) | −26.6556 | − | 24.7328i | −1.03444 | − | 0.959818i | ||||
\(665\) | −2.88692 | + | 1.17099i | −0.111950 | + | 0.0454092i | ||||
\(666\) | −6.89575 | + | 16.4960i | −0.267205 | + | 0.639205i | ||||
\(667\) | 11.1582 | − | 19.3266i | 0.432048 | − | 0.748328i | ||||
\(668\) | 11.0203 | 0.426389 | ||||||||
\(669\) | −10.7359 | − | 7.49350i | −0.415073 | − | 0.289715i | ||||
\(670\) | −4.21715 | − | 2.03087i | −0.162923 | − | 0.0784594i | ||||
\(671\) | −6.61471 | − | 0.997008i | −0.255358 | − | 0.0384891i | ||||
\(672\) | −3.41098 | − | 11.0437i | −0.131582 | − | 0.426020i | ||||
\(673\) | 23.0220 | − | 3.47000i | 0.887432 | − | 0.133759i | 0.310522 | − | 0.950566i | \(-0.399496\pi\) |
0.576910 | + | 0.816807i | \(0.304258\pi\) | |||||||
\(674\) | 34.4837 | + | 10.6368i | 1.32826 | + | 0.409714i | ||||
\(675\) | −6.11170 | + | 23.2244i | −0.235240 | + | 0.893907i | ||||
\(676\) | 0.325854 | + | 4.34822i | 0.0125329 | + | 0.167239i | ||||
\(677\) | −13.3005 | − | 2.00472i | −0.511178 | − | 0.0770477i | −0.111612 | − | 0.993752i | \(-0.535601\pi\) |
−0.399567 | + | 0.916704i | \(0.630839\pi\) | |||||||
\(678\) | 2.47727 | − | 6.11381i | 0.0951389 | − | 0.234800i | ||||
\(679\) | −3.06259 | − | 0.194603i | −0.117532 | − | 0.00746817i | ||||
\(680\) | −0.0759399 | − | 1.01335i | −0.00291216 | − | 0.0388601i | ||||
\(681\) | −37.9753 | + | 5.29829i | −1.45522 | + | 0.203031i | ||||
\(682\) | −0.922839 | + | 4.04322i | −0.0353373 | + | 0.154823i | ||||
\(683\) | 15.5266 | + | 10.5858i | 0.594108 | + | 0.405056i | 0.822708 | − | 0.568465i | \(-0.192462\pi\) |
−0.228600 | + | 0.973520i | \(0.573415\pi\) | |||||||
\(684\) | −2.19341 | + | 1.42595i | −0.0838673 | + | 0.0545225i | ||||
\(685\) | −11.1172 | −0.424766 | ||||||||
\(686\) | 12.3111 | − | 19.4472i | 0.470041 | − | 0.742499i | ||||
\(687\) | −44.5320 | − | 14.2734i | −1.69900 | − | 0.544563i | ||||
\(688\) | 4.36110 | + | 5.46864i | 0.166265 | + | 0.208490i | ||||
\(689\) | 0.565845 | − | 7.55068i | 0.0215570 | − | 0.287658i | ||||
\(690\) | 8.29120 | + | 0.0910002i | 0.315641 | + | 0.00346432i | ||||
\(691\) | −8.72941 | − | 5.95161i | −0.332082 | − | 0.226410i | 0.385787 | − | 0.922588i | \(-0.373930\pi\) |
−0.717869 | + | 0.696178i | \(0.754882\pi\) | |||||||
\(692\) | 6.42542 | + | 3.09432i | 0.244258 | + | 0.117628i | ||||
\(693\) | 0.795344 | − | 4.92194i | 0.0302126 | − | 0.186969i | ||||
\(694\) | 14.3786 | − | 6.92438i | 0.545805 | − | 0.262846i | ||||
\(695\) | −9.14671 | − | 1.37864i | −0.346954 | − | 0.0522950i | ||||
\(696\) | 18.0572 | − | 5.35358i | 0.684455 | − | 0.202927i | ||||
\(697\) | 0.397895 | − | 0.0599731i | 0.0150714 | − | 0.00227164i | ||||
\(698\) | −3.61394 | − | 15.8337i | −0.136790 | − | 0.599315i | ||||
\(699\) | −12.2202 | − | 1.97930i | −0.462211 | − | 0.0748640i | ||||
\(700\) | 3.18967 | + | 4.56623i | 0.120558 | + | 0.172587i | ||||
\(701\) | 23.2578 | − | 29.1644i | 0.878436 | − | 1.10152i | −0.115689 | − | 0.993285i | \(-0.536908\pi\) |
0.994125 | − | 0.108238i | \(-0.0345209\pi\) | |||||||
\(702\) | 11.3020 | + | 3.89805i | 0.426565 | + | 0.147122i | ||||
\(703\) | 6.73002 | − | 6.24455i | 0.253828 | − | 0.235518i | ||||
\(704\) | 5.58901 | 0.210644 | ||||||||
\(705\) | −0.200799 | − | 0.926516i | −0.00756254 | − | 0.0348946i | ||||
\(706\) | −11.7807 | + | 10.9309i | −0.443372 | + | 0.411389i | ||||
\(707\) | 32.5550 | + | 25.3630i | 1.22436 | + | 0.953875i | ||||
\(708\) | 1.04811 | + | 0.0115036i | 0.0393904 | + | 0.000432330i | ||||
\(709\) | 0.980353 | − | 0.302399i | 0.0368179 | − | 0.0113568i | −0.276292 | − | 0.961074i | \(-0.589106\pi\) |
0.313109 | + | 0.949717i | \(0.398629\pi\) | |||||||
\(710\) | 1.57892 | + | 0.237984i | 0.0592558 | + | 0.00893137i | ||||
\(711\) | 16.5675 | + | 16.0633i | 0.621329 | + | 0.602421i | ||||
\(712\) | 30.2749 | + | 28.0910i | 1.13460 | + | 1.05275i | ||||
\(713\) | 24.3899 | + | 22.6305i | 0.913408 | + | 0.847518i | ||||
\(714\) | 1.73599 | − | 2.54825i | 0.0649678 | − | 0.0953658i | ||||
\(715\) | 0.524324 | − | 0.486501i | 0.0196086 | − | 0.0181941i | ||||
\(716\) | −2.38903 | −0.0892822 | ||||||||
\(717\) | −5.86712 | − | 27.0717i | −0.219112 | − | 1.01101i | ||||
\(718\) | −6.01366 | − | 26.3476i | −0.224428 | − | 0.983283i | ||||
\(719\) | 30.5522 | − | 20.8301i | 1.13940 | − | 0.776832i | 0.161704 | − | 0.986839i | \(-0.448301\pi\) |
0.977700 | + | 0.210007i | \(0.0673487\pi\) | |||||||
\(720\) | 3.81719 | + | 3.70103i | 0.142258 | + | 0.137929i | ||||
\(721\) | 9.83493 | + | 7.66221i | 0.366272 | + | 0.285356i | ||||
\(722\) | 18.8449 | − | 2.84041i | 0.701335 | − | 0.105709i | ||||
\(723\) | 2.45791 | − | 28.5850i | 0.0914106 | − | 1.06309i | ||||
\(724\) | −6.96851 | + | 1.05033i | −0.258983 | + | 0.0390354i | ||||
\(725\) | −13.6068 | + | 9.27697i | −0.505345 | + | 0.344538i | ||||
\(726\) | −20.4580 | − | 10.1301i | −0.759267 | − | 0.375964i | ||||
\(727\) | −0.862287 | + | 11.5064i | −0.0319804 | + | 0.426749i | 0.958118 | + | 0.286374i | \(0.0924500\pi\) |
−0.990098 | + | 0.140375i | \(0.955169\pi\) | |||||||
\(728\) | 12.8593 | − | 7.62012i | 0.476599 | − | 0.282420i | ||||
\(729\) | 18.1868 | − | 19.9560i | 0.673585 | − | 0.739110i | ||||
\(730\) | 0.0247765 | − | 0.330620i | 0.000917020 | − | 0.0122368i | ||||
\(731\) | 0.292446 | − | 1.28129i | 0.0108165 | − | 0.0473903i | ||||
\(732\) | −8.32147 | + | 1.16101i | −0.307570 | + | 0.0429120i | ||||
\(733\) | 9.06527 | + | 11.3675i | 0.334833 | + | 0.419868i | 0.920536 | − | 0.390658i | \(-0.127753\pi\) |
−0.585702 | + | 0.810526i | \(0.699181\pi\) | |||||||
\(734\) | −3.73224 | − | 6.46444i | −0.137760 | − | 0.238607i | ||||
\(735\) | 0.470148 | − | 7.44233i | 0.0173417 | − | 0.274514i | ||||
\(736\) | 7.89835 | − | 13.6803i | 0.291137 | − | 0.504264i | ||||
\(737\) | −3.80354 | + | 0.573291i | −0.140105 | + | 0.0211174i | ||||
\(738\) | −1.77482 | + | 2.12801i | −0.0653320 | + | 0.0783330i | ||||
\(739\) | −22.8974 | + | 7.06290i | −0.842293 | + | 0.259813i | −0.685731 | − | 0.727855i | \(-0.740517\pi\) |
−0.156562 | + | 0.987668i | \(0.550041\pi\) | |||||||
\(740\) | 1.11009 | + | 0.756845i | 0.0408076 | + | 0.0278222i | ||||
\(741\) | −4.45405 | − | 4.22467i | −0.163624 | − | 0.155197i | ||||
\(742\) | 12.4618 | − | 5.05478i | 0.457488 | − | 0.185567i | ||||
\(743\) | −38.3261 | − | 26.1303i | −1.40605 | − | 0.958628i | −0.998977 | − | 0.0452315i | \(-0.985597\pi\) |
−0.407072 | − | 0.913396i | \(-0.633450\pi\) | |||||||
\(744\) | 1.79097 | + | 28.0226i | 0.0656601 | + | 1.02736i | ||||
\(745\) | 6.66962 | + | 3.21192i | 0.244356 | + | 0.117676i | ||||
\(746\) | 15.5502 | − | 39.6212i | 0.569333 | − | 1.45064i | ||||
\(747\) | −21.6691 | − | 28.4306i | −0.792833 | − | 1.04022i | ||||
\(748\) | −0.0965870 | − | 0.121116i | −0.00353157 | − | 0.00442845i | ||||
\(749\) | 13.8229 | − | 15.2407i | 0.505079 | − | 0.556883i | ||||
\(750\) | −11.4157 | − | 5.65267i | −0.416842 | − | 0.206406i | ||||
\(751\) | 35.9835 | + | 17.3287i | 1.31306 | + | 0.632334i | 0.953670 | − | 0.300855i | \(-0.0972721\pi\) |
0.359385 | + | 0.933189i | \(0.382986\pi\) | |||||||
\(752\) | 2.45033 | + | 0.755827i | 0.0893543 | + | 0.0275622i | ||||
\(753\) | 11.9061 | + | 3.81613i | 0.433881 | + | 0.139067i | ||||
\(754\) | 4.09918 | + | 7.09999i | 0.149283 | + | 0.258566i | ||||
\(755\) | 2.41920 | + | 10.5992i | 0.0880436 | + | 0.385744i | ||||
\(756\) | −0.799493 | − | 6.21102i | −0.0290773 | − | 0.225893i | ||||
\(757\) | −11.6402 | + | 50.9991i | −0.423071 | + | 1.85359i | 0.0910070 | + | 0.995850i | \(0.470991\pi\) |
−0.514078 | + | 0.857744i | \(0.671866\pi\) | |||||||
\(758\) | −16.8503 | + | 5.19762i | −0.612029 | + | 0.188786i | ||||
\(759\) | 5.67175 | − | 3.77643i | 0.205872 | − | 0.137076i | ||||
\(760\) | −1.31278 | − | 3.34492i | −0.0476197 | − | 0.121333i | ||||
\(761\) | 3.83662 | − | 16.8093i | 0.139077 | − | 0.609338i | −0.856561 | − | 0.516045i | \(-0.827404\pi\) |
0.995639 | − | 0.0932926i | \(-0.0297392\pi\) | |||||||
\(762\) | −34.1113 | − | 0.374389i | −1.23572 | − | 0.0135627i | ||||
\(763\) | −27.0167 | + | 2.33308i | −0.978071 | + | 0.0844631i | ||||
\(764\) | −2.44181 | − | 10.6982i | −0.0883414 | − | 0.387049i | ||||
\(765\) | 0.0965016 | − | 0.994318i | 0.00348902 | − | 0.0359497i | ||||
\(766\) | −19.4927 | − | 33.7623i | −0.704300 | − | 1.21988i | ||||
\(767\) | 0.547305 | + | 2.39790i | 0.0197620 | + | 0.0865831i | ||||
\(768\) | 17.1410 | − | 5.08197i | 0.618523 | − | 0.183380i | ||||
\(769\) | −35.9613 | − | 5.42030i | −1.29680 | − | 0.195461i | −0.535872 | − | 0.844299i | \(-0.680017\pi\) |
−0.760927 | + | 0.648838i | \(0.775255\pi\) | |||||||
\(770\) | 1.18771 | + | 0.450664i | 0.0428022 | + | 0.0162408i | ||||
\(771\) | −14.2278 | − | 37.4554i | −0.512400 | − | 1.34892i | ||||
\(772\) | 8.44495 | − | 7.83577i | 0.303940 | − | 0.282015i | ||||
\(773\) | 2.39227 | − | 6.09541i | 0.0860441 | − | 0.219237i | −0.881375 | − | 0.472417i | \(-0.843381\pi\) |
0.967419 | + | 0.253181i | \(0.0814767\pi\) | |||||||
\(774\) | 4.35204 | + | 7.93523i | 0.156431 | + | 0.285226i | ||||
\(775\) | −8.97015 | − | 22.8556i | −0.322217 | − | 0.820996i | ||||
\(776\) | 0.264512 | − | 3.52967i | 0.00949542 | − | 0.126708i | ||||
\(777\) | 6.48523 | + | 20.9971i | 0.232656 | + | 0.753268i | ||||
\(778\) | 0.644669 | + | 8.60251i | 0.0231125 | + | 0.308415i | ||||
\(779\) | 1.28197 | − | 0.617363i | 0.0459313 | − | 0.0221193i | ||||
\(780\) | 0.457704 | − | 0.773047i | 0.0163884 | − | 0.0276795i | ||||
\(781\) | 1.18224 | − | 0.569335i | 0.0423038 | − | 0.0203724i | ||||
\(782\) | 4.16692 | − | 0.628062i | 0.149009 | − | 0.0224595i | ||||
\(783\) | 18.3894 | − | 2.15536i | 0.657184 | − | 0.0770264i | ||||
\(784\) | 16.9190 | + | 10.9814i | 0.604250 | + | 0.392193i | ||||
\(785\) | 0.725842 | − | 1.25720i | 0.0259064 | − | 0.0448712i | ||||
\(786\) | 0.298154 | − | 0.365570i | 0.0106348 | − | 0.0130394i | ||||
\(787\) | 0.997273 | − | 13.3077i | 0.0355489 | − | 0.474368i | −0.950812 | − | 0.309769i | \(-0.899748\pi\) |
0.986361 | − | 0.164598i | \(-0.0526328\pi\) | |||||||
\(788\) | 5.28903 | + | 4.90751i | 0.188414 | + | 0.174823i | ||||
\(789\) | 18.6300 | − | 2.59925i | 0.663246 | − | 0.0925357i | ||||
\(790\) | −4.85798 | + | 3.31212i | −0.172839 | + | 0.117840i | ||||
\(791\) | −2.47763 | − | 7.72026i | −0.0880944 | − | 0.274501i | ||||
\(792\) | 5.66627 | + | 0.981697i | 0.201342 | + | 0.0348831i | ||||
\(793\) | −7.20294 | − | 18.3528i | −0.255784 | − | 0.651727i | ||||
\(794\) | 17.2241 | + | 8.29471i | 0.611262 | + | 0.294368i | ||||
\(795\) | 2.75379 | − | 3.37645i | 0.0976669 | − | 0.119750i | ||||
\(796\) | 1.40221 | + | 6.14347i | 0.0496999 | + | 0.217749i | ||||
\(797\) | −11.2003 | + | 28.5380i | −0.396736 | + | 1.01087i | 0.583337 | + | 0.812230i | \(0.301747\pi\) |
−0.980073 | + | 0.198637i | \(0.936348\pi\) | |||||||
\(798\) | 3.20989 | − | 10.4198i | 0.113629 | − | 0.368858i | ||||
\(799\) | −0.176023 | − | 0.448498i | −0.00622723 | − | 0.0158667i | ||||
\(800\) | −9.63159 | + | 6.56671i | −0.340528 | + | 0.232168i | ||||
\(801\) | 24.6114 | + | 32.2910i | 0.869601 | + | 1.14095i | ||||
\(802\) | 16.0887 | + | 27.8664i | 0.568111 | + | 0.983997i | ||||
\(803\) | −0.136230 | − | 0.235957i | −0.00480744 | − | 0.00832673i | ||||
\(804\) | −4.37558 | + | 2.04832i | −0.154315 | + | 0.0722387i | ||||
\(805\) | 7.89547 | − | 6.44429i | 0.278279 | − | 0.227131i | ||||
\(806\) | −11.6799 | + | 3.60279i | −0.411409 | + | 0.126903i | ||||
\(807\) | −39.1623 | − | 0.429827i | −1.37858 | − | 0.0151306i | ||||
\(808\) | −29.6781 | + | 37.2152i | −1.04407 | + | 1.30923i | ||||
\(809\) | −49.2609 | − | 7.42489i | −1.73192 | − | 0.261045i | −0.794006 | − | 0.607909i | \(-0.792008\pi\) |
−0.937915 | + | 0.346864i | \(0.887246\pi\) | |||||||
\(810\) | 4.04905 | + | 5.56157i | 0.142269 | + | 0.195414i | ||||
\(811\) | 3.20967 | − | 14.0625i | 0.112707 | − | 0.493800i | −0.886793 | − | 0.462167i | \(-0.847072\pi\) |
0.999500 | − | 0.0316331i | \(-0.0100708\pi\) | |||||||
\(812\) | 2.37870 | − | 3.57538i | 0.0834759 | − | 0.125471i | ||||
\(813\) | 37.9916 | + | 26.5176i | 1.33242 | + | 0.930014i | ||||
\(814\) | −3.74362 | −0.131214 | ||||||||
\(815\) | 3.00957 | − | 5.21272i | 0.105421 | − | 0.182594i | ||||
\(816\) | 2.21574 | + | 1.54656i | 0.0775665 | + | 0.0541404i | ||||
\(817\) | −0.347289 | − | 4.63425i | −0.0121501 | − | 0.162132i | ||||
\(818\) | −24.0198 | + | 30.1199i | −0.839833 | + | 1.05312i | ||||
\(819\) | 13.7349 | − | 5.22314i | 0.479938 | − | 0.182511i | ||||
\(820\) | 0.129827 | + | 0.162798i | 0.00453377 | + | 0.00568517i | ||||
\(821\) | −23.8215 | + | 22.1031i | −0.831376 | + | 0.771405i | −0.975928 | − | 0.218093i | \(-0.930016\pi\) |
0.144552 | + | 0.989497i | \(0.453826\pi\) | |||||||
\(822\) | 24.5908 | − | 30.1510i | 0.857703 | − | 1.05164i | ||||
\(823\) | −17.4727 | + | 11.9127i | −0.609062 | + | 0.415251i | −0.828192 | − | 0.560444i | \(-0.810630\pi\) |
0.219130 | + | 0.975696i | \(0.429678\pi\) | |||||||
\(824\) | −8.96581 | + | 11.2428i | −0.312339 | + | 0.391661i | ||||
\(825\) | −4.98013 | + | 0.694824i | −0.173386 | + | 0.0241907i | ||||
\(826\) | −3.38417 | + | 2.76216i | −0.117750 | + | 0.0961079i | ||||
\(827\) | −14.9100 | − | 7.18029i | −0.518472 | − | 0.249683i | 0.156299 | − | 0.987710i | \(-0.450044\pi\) |
−0.674772 | + | 0.738027i | \(0.735758\pi\) | |||||||
\(828\) | 5.48171 | − | 6.57257i | 0.190503 | − | 0.228413i | ||||
\(829\) | −16.7602 | + | 5.16984i | −0.582106 | + | 0.179556i | −0.571803 | − | 0.820391i | \(-0.693756\pi\) |
−0.0103033 | + | 0.999947i | \(0.503280\pi\) | |||||||
\(830\) | 8.20608 | − | 3.95184i | 0.284837 | − | 0.137170i | ||||
\(831\) | −17.5881 | − | 46.3016i | −0.610125 | − | 1.60619i | ||||
\(832\) | 8.23621 | + | 14.2655i | 0.285539 | + | 0.494569i | ||||
\(833\) | −0.368875 | − | 3.77187i | −0.0127808 | − | 0.130687i | ||||
\(834\) | 23.9712 | − | 21.7574i | 0.830055 | − | 0.753395i | ||||
\(835\) | −5.43635 | + | 13.8516i | −0.188133 | + | 0.479354i | ||||
\(836\) | −0.452601 | − | 0.308578i | −0.0156535 | − | 0.0106724i | ||||
\(837\) | −2.96795 | + | 27.4445i | −0.102588 | + | 0.948622i | ||||
\(838\) | 2.57870 | − | 34.4103i | 0.0890796 | − | 1.18869i | ||||
\(839\) | −11.6252 | + | 7.92591i | −0.401345 | + | 0.273633i | −0.747126 | − | 0.664683i | \(-0.768567\pi\) |
0.345780 | + | 0.938316i | \(0.387614\pi\) | |||||||
\(840\) | 8.57738 | + | 0.639610i | 0.295948 | + | 0.0220686i | ||||
\(841\) | −13.4703 | − | 9.18387i | −0.464492 | − | 0.316685i | ||||
\(842\) | −8.60280 | + | 10.7876i | −0.296472 | + | 0.371764i | ||||
\(843\) | −18.0471 | + | 5.35061i | −0.621576 | + | 0.184285i | ||||
\(844\) | 4.73751 | + | 5.94065i | 0.163072 | + | 0.204486i | ||||
\(845\) | −5.62608 | − | 1.73542i | −0.193543 | − | 0.0597001i | ||||
\(846\) | 2.95697 | + | 1.50483i | 0.101663 | + | 0.0517371i | ||||
\(847\) | −27.2832 | + | 6.55368i | −0.937463 | + | 0.225187i | ||||
\(848\) | 4.30557 | + | 10.9704i | 0.147854 | + | 0.376725i | ||||
\(849\) | −10.7284 | + | 3.18077i | −0.368199 | + | 0.109164i | ||||
\(850\) | −2.97155 | − | 0.916603i | −0.101923 | − | 0.0314392i | ||||
\(851\) | −15.0170 | + | 26.0101i | −0.514775 | + | 0.891616i | ||||
\(852\) | 1.22040 | − | 1.10769i | 0.0418101 | − | 0.0379487i | ||||
\(853\) | 6.51108 | + | 2.00840i | 0.222935 | + | 0.0687664i | 0.404210 | − | 0.914666i | \(-0.367546\pi\) |
−0.181275 | + | 0.983432i | \(0.558023\pi\) | |||||||
\(854\) | 23.5242 | − | 25.9370i | 0.804983 | − | 0.887547i | ||||
\(855\) | −0.710276 | − | 3.46035i | −0.0242909 | − | 0.118342i | ||||
\(856\) | 17.3969 | + | 16.1419i | 0.594613 | + | 0.551720i | ||||
\(857\) | 3.29305 | − | 4.12935i | 0.112488 | − | 0.141056i | −0.722400 | − | 0.691476i | \(-0.756961\pi\) |
0.834888 | + | 0.550420i | \(0.185532\pi\) | |||||||
\(858\) | 0.159660 | + | 2.49814i | 0.00545071 | + | 0.0852853i | ||||
\(859\) | −5.38681 | + | 23.6012i | −0.183796 | + | 0.805261i | 0.796006 | + | 0.605289i | \(0.206942\pi\) |
−0.979802 | + | 0.199972i | \(0.935915\pi\) | |||||||
\(860\) | 0.649874 | − | 0.200460i | 0.0221605 | − | 0.00683562i | ||||
\(861\) | 0.00125404 | + | 3.40590i | 4.27375e−5 | + | 0.116073i | ||||
\(862\) | 5.43507 | + | 1.67650i | 0.185119 | + | 0.0571017i | ||||
\(863\) | −6.63839 | + | 11.4980i | −0.225973 | + | 0.391397i | −0.956611 | − | 0.291368i | \(-0.905890\pi\) |
0.730638 | + | 0.682765i | \(0.239223\pi\) | |||||||
\(864\) | 13.0170 | − | 1.52568i | 0.442846 | − | 0.0519045i | ||||
\(865\) | −7.05897 | + | 6.54976i | −0.240012 | + | 0.222699i | ||||
\(866\) | 2.09672 | + | 27.9788i | 0.0712495 | + | 0.950758i | ||||
\(867\) | 1.84565 | + | 28.8782i | 0.0626817 | + | 0.980756i | ||||
\(868\) | 4.40775 | + | 4.64365i | 0.149609 | + | 0.157616i | ||||
\(869\) | −1.76525 | + | 4.49778i | −0.0598819 | + | 0.152577i | ||||
\(870\) | −0.404151 | + | 4.70021i | −0.0137020 | + | 0.159352i | ||||
\(871\) | −7.06834 | − | 8.86342i | −0.239502 | − | 0.300325i | ||||
\(872\) | −2.33737 | − | 31.1900i | −0.0791532 | − | 1.05623i | ||||
\(873\) | 0.848568 | − | 3.37460i | 0.0287197 | − | 0.114213i | ||||
\(874\) | 13.4253 | − | 6.46527i | 0.454117 | − | 0.218691i | ||||
\(875\) | −15.2242 | + | 3.65699i | −0.514672 | + | 0.123629i | ||||
\(876\) | −0.248292 | − | 0.235504i | −0.00838899 | − | 0.00795695i | ||||
\(877\) | −9.82936 | + | 4.73357i | −0.331914 | + | 0.159841i | −0.592417 | − | 0.805632i | \(-0.701826\pi\) |
0.260503 | + | 0.965473i | \(0.416112\pi\) | |||||||
\(878\) | 24.1532 | + | 22.4109i | 0.815130 | + | 0.756330i | ||||
\(879\) | −22.5354 | − | 28.9036i | −0.760100 | − | 0.974895i | ||||
\(880\) | −0.406718 | + | 1.03630i | −0.0137105 | + | 0.0349337i | ||||
\(881\) | −15.8111 | −0.532688 | −0.266344 | − | 0.963878i | \(-0.585816\pi\) | ||||
−0.266344 | + | 0.963878i | \(0.585816\pi\) | |||||||
\(882\) | 19.1444 | + | 17.7372i | 0.644627 | + | 0.597244i | ||||
\(883\) | −28.7783 | −0.968468 | −0.484234 | − | 0.874939i | \(-0.660902\pi\) | ||||
−0.484234 | + | 0.874939i | \(0.660902\pi\) | |||||||
\(884\) | 0.166805 | − | 0.425013i | 0.00561027 | − | 0.0142947i | ||||
\(885\) | −0.531494 | + | 1.31171i | −0.0178660 | + | 0.0440926i | ||||
\(886\) | 6.10755 | + | 5.66698i | 0.205187 | + | 0.190386i | ||||
\(887\) | −34.5887 | + | 16.6571i | −1.16138 | + | 0.559289i | −0.912432 | − | 0.409228i | \(-0.865798\pi\) |
−0.248944 | + | 0.968518i | \(0.580084\pi\) | |||||||
\(888\) | −24.3017 | + | 7.20496i | −0.815511 | + | 0.241783i | ||||
\(889\) | −32.4832 | + | 26.5128i | −1.08945 | + | 0.889212i | ||||
\(890\) | −9.32031 | + | 4.48843i | −0.312418 | + | 0.150452i | ||||
\(891\) | 5.32386 | + | 1.90183i | 0.178356 | + | 0.0637138i | ||||
\(892\) | −0.257309 | − | 3.43355i | −0.00861535 | − | 0.114964i | ||||
\(893\) | −1.06223 | − | 1.33200i | −0.0355463 | − | 0.0445736i | ||||
\(894\) | −23.4640 | + | 10.9841i | −0.784754 | + | 0.367363i | ||||
\(895\) | 1.17851 | − | 3.00280i | 0.0393933 | − | 0.100373i | ||||
\(896\) | −8.81234 | + | 13.2457i | −0.294399 | + | 0.442507i | ||||
\(897\) | 17.9972 | + | 8.91162i | 0.600909 | + | 0.297550i | ||||
\(898\) | −0.407489 | − | 5.43757i | −0.0135981 | − | 0.181454i | ||||
\(899\) | −13.8766 | + | 12.8756i | −0.462810 | + | 0.429425i | ||||
\(900\) | −5.74906 | + | 2.61474i | −0.191635 | + | 0.0871581i | ||||
\(901\) | 1.10716 | − | 1.91766i | 0.0368849 | − | 0.0638865i | ||||
\(902\) | −0.554423 | − | 0.171017i | −0.0184603 | − | 0.00569424i | ||||
\(903\) | 10.3565 | + | 4.06023i | 0.344643 | + | 0.135116i | ||||
\(904\) | 8.93650 | − | 2.75655i | 0.297224 | − | 0.0916814i | ||||
\(905\) | 2.11740 | − | 9.27694i | 0.0703848 | − | 0.308376i | ||||
\(906\) | −34.0973 | − | 16.8839i | −1.13281 | − | 0.560930i | ||||
\(907\) | −34.9444 | + | 43.8189i | −1.16031 | + | 1.45498i | −0.293767 | + | 0.955877i | \(0.594909\pi\) |
−0.866542 | + | 0.499104i | \(0.833663\pi\) | |||||||
\(908\) | −7.39200 | − | 6.85877i | −0.245312 | − | 0.227616i | ||||
\(909\) | −34.9931 | + | 31.0677i | −1.16065 | + | 1.03045i | ||||
\(910\) | 0.599981 | + | 3.69567i | 0.0198892 | + | 0.122510i | ||||
\(911\) | −36.6651 | − | 11.3097i | −1.21477 | − | 0.374707i | −0.379834 | − | 0.925055i | \(-0.624019\pi\) |
−0.834935 | + | 0.550348i | \(0.814495\pi\) | |||||||
\(912\) | 9.09886 | + | 2.91637i | 0.301293 | + | 0.0965705i | ||||
\(913\) | 3.74242 | − | 6.48207i | 0.123856 | − | 0.214525i | ||||
\(914\) | 9.98513 | + | 3.08001i | 0.330279 | + | 0.101878i | ||||
\(915\) | 2.64571 | − | 11.0321i | 0.0874646 | − | 0.364710i | ||||
\(916\) | −4.49309 | − | 11.4482i | −0.148456 | − | 0.378259i | ||||
\(917\) | −0.00657698 | − | 0.579788i | −0.000217191 | − | 0.0191463i | ||||
\(918\) | 2.48324 | + | 2.46112i | 0.0819592 | + | 0.0812290i | ||||
\(919\) | 10.5427 | + | 3.25199i | 0.347772 | + | 0.107273i | 0.463720 | − | 0.885982i | \(-0.346514\pi\) |
−0.115948 | + | 0.993255i | \(0.536991\pi\) | |||||||
\(920\) | 7.32916 | + | 9.19048i | 0.241635 | + | 0.303001i | ||||
\(921\) | 30.7846 | + | 29.1992i | 1.01439 | + | 0.962145i | ||||
\(922\) | −9.59058 | + | 12.0262i | −0.315849 | + | 0.396062i | ||||
\(923\) | 3.19538 | + | 2.17857i | 0.105177 | + | 0.0717086i | ||||
\(924\) | 1.13530 | − | 0.656026i | 0.0373488 | − | 0.0215817i | ||||
\(925\) | 18.3123 | − | 12.4851i | 0.602106 | − | 0.410509i | ||||
\(926\) | −0.802831 | + | 10.7130i | −0.0263827 | + | 0.352052i | ||||
\(927\) | −10.5715 | + | 9.38561i | −0.347212 | + | 0.308264i | ||||
\(928\) | 7.42582 | + | 5.06284i | 0.243765 | + | 0.166196i | ||||
\(929\) | −16.1966 | + | 41.2683i | −0.531393 | + | 1.35397i | 0.373223 | + | 0.927741i | \(0.378252\pi\) |
−0.904617 | + | 0.426226i | \(0.859843\pi\) | |||||||
\(930\) | −6.69779 | − | 2.14677i | −0.219629 | − | 0.0703955i | ||||
\(931\) | −5.17773 | − | 12.3605i | −0.169693 | − | 0.405101i | ||||
\(932\) | −1.62784 | − | 2.81951i | −0.0533217 | − | 0.0923560i | ||||
\(933\) | 18.1916 | + | 2.94647i | 0.595565 | + | 0.0964632i | ||||
\(934\) | 27.4529 | − | 13.2206i | 0.898285 | − | 0.432591i | ||||
\(935\) | 0.199879 | − | 0.0616546i | 0.00653675 | − | 0.00201632i | ||||
\(936\) | 5.84435 | + | 15.9094i | 0.191029 | + | 0.520015i | ||||
\(937\) | −27.7802 | − | 13.3782i | −0.907539 | − | 0.437048i | −0.0789330 | − | 0.996880i | \(-0.525151\pi\) |
−0.828606 | + | 0.559832i | \(0.810866\pi\) | |||||||
\(938\) | 8.52974 | − | 18.2386i | 0.278506 | − | 0.595511i | ||||
\(939\) | −5.14240 | − | 6.59558i | −0.167816 | − | 0.215239i | ||||
\(940\) | 0.155450 | − | 0.194928i | 0.00507020 | − | 0.00635784i | ||||
\(941\) | 16.4252 | − | 11.1985i | 0.535445 | − | 0.365060i | −0.265206 | − | 0.964192i | \(-0.585440\pi\) |
0.800650 | + | 0.599132i | \(0.204487\pi\) | |||||||
\(942\) | 1.80412 | + | 4.74943i | 0.0587813 | + | 0.154745i | ||||
\(943\) | −3.41218 | + | 3.16604i | −0.111116 | + | 0.103101i | ||||
\(944\) | −2.38681 | − | 2.99296i | −0.0776840 | − | 0.0974127i | ||||
\(945\) | 8.20110 | + | 2.05902i | 0.266782 | + | 0.0669798i | ||||
\(946\) | −1.18151 | + | 1.48156i | −0.0384140 | + | 0.0481697i | ||||
\(947\) | 1.95387 | + | 26.0726i | 0.0634923 | + | 0.847245i | 0.934497 | + | 0.355971i | \(0.115850\pi\) |
−0.871005 | + | 0.491274i | \(0.836531\pi\) | |||||||
\(948\) | −0.519915 | + | 6.04651i | −0.0168860 | + | 0.196382i | ||||
\(949\) | 0.401508 | − | 0.695432i | 0.0130335 | − | 0.0225747i | ||||
\(950\) | −10.9961 | −0.356762 | ||||||||
\(951\) | −28.1864 | + | 13.1948i | −0.914008 | + | 0.427870i | ||||
\(952\) | 4.35507 | − | 0.376090i | 0.141149 | − | 0.0121891i | ||||
\(953\) | 2.93686 | − | 12.8672i | 0.0951341 | − | 0.416810i | −0.904826 | − | 0.425782i | \(-0.859999\pi\) |
0.999960 | + | 0.00897249i | \(0.00285607\pi\) | |||||||
\(954\) | 3.06602 | + | 14.9372i | 0.0992660 | + | 0.483608i | ||||
\(955\) | 14.6513 | + | 2.20833i | 0.474105 | + | 0.0714599i | ||||
\(956\) | 4.54206 | − | 5.69556i | 0.146901 | − | 0.184207i | ||||
\(957\) | 1.90144 | + | 3.37848i | 0.0614647 | + | 0.109211i | ||||
\(958\) | −19.2331 | + | 5.93263i | −0.621394 | + | 0.191675i | ||||
\(959\) | −0.542448 | − | 47.8191i | −0.0175166 | − | 1.54416i | ||||
\(960\) | −0.812034 | + | 9.44381i | −0.0262083 | + | 0.304798i | ||||
\(961\) | 1.38868 | + | 2.40526i | 0.0447960 | + | 0.0775890i | ||||
\(962\) | −5.51676 | − | 9.55532i | −0.177868 | − | 0.308076i | ||||
\(963\) | 14.1424 | + | 18.5554i | 0.455734 | + | 0.597938i | ||||
\(964\) | 6.23424 | − | 4.25043i | 0.200791 | − | 0.136897i | ||||
\(965\) | 5.68297 | + | 14.4800i | 0.182941 | + | 0.466127i | ||||
\(966\) | 0.0131328 | + | 35.6679i | 0.000422540 | + | 1.14760i | ||||
\(967\) | −17.8917 | + | 45.5874i | −0.575360 | + | 1.46599i | 0.286116 | + | 0.958195i | \(0.407636\pi\) |
−0.861476 | + | 0.507798i | \(0.830460\pi\) | |||||||
\(968\) | −7.20167 | − | 31.5526i | −0.231471 | − | 1.01414i | ||||
\(969\) | −0.637508 | − | 1.67827i | −0.0204797 | − | 0.0539139i | ||||
\(970\) | 0.798789 | + | 0.384677i | 0.0256476 | + | 0.0123512i | ||||
\(971\) | −18.5167 | − | 47.1797i | −0.594229 | − | 1.51407i | −0.838801 | − | 0.544439i | \(-0.816743\pi\) |
0.244572 | − | 0.969631i | \(-0.421353\pi\) | |||||||
\(972\) | 7.09005 | + | 0.389460i | 0.227414 | + | 0.0124919i | ||||
\(973\) | 5.48375 | − | 39.4106i | 0.175801 | − | 1.26345i | ||||
\(974\) | 27.8051 | − | 18.9572i | 0.890932 | − | 0.607427i | ||||
\(975\) | −9.11242 | − | 11.6875i | −0.291831 | − | 0.374299i | ||||
\(976\) | 22.4945 | + | 20.8718i | 0.720031 | + | 0.668091i | ||||
\(977\) | −2.41583 | + | 32.2369i | −0.0772891 | + | 1.03135i | 0.814874 | + | 0.579638i | \(0.196806\pi\) |
−0.892163 | + | 0.451713i | \(0.850813\pi\) | |||||||
\(978\) | 7.48042 | + | 19.6926i | 0.239197 | + | 0.629700i | ||||
\(979\) | −4.25057 | + | 7.36221i | −0.135849 | + | 0.235297i | ||||
\(980\) | 1.59491 | − | 1.14124i | 0.0509475 | − | 0.0364554i | ||||
\(981\) | 2.97024 | − | 30.6043i | 0.0948324 | − | 0.977120i | ||||
\(982\) | 34.4881 | − | 5.19825i | 1.10056 | − | 0.165883i | ||||
\(983\) | 10.0146 | − | 4.82278i | 0.319416 | − | 0.153823i | −0.267304 | − | 0.963612i | \(-0.586133\pi\) |
0.586721 | + | 0.809789i | \(0.300419\pi\) | |||||||
\(984\) | −3.92817 | − | 0.0431137i | −0.125226 | − | 0.00137442i | ||||
\(985\) | −8.77740 | + | 4.22697i | −0.279671 | + | 0.134683i | ||||
\(986\) | 0.179169 | + | 2.39084i | 0.00570589 | + | 0.0761398i | ||||
\(987\) | 3.97549 | − | 0.908919i | 0.126541 | − | 0.0289312i | ||||
\(988\) | 0.120650 | − | 1.60996i | 0.00383839 | − | 0.0512198i | ||||
\(989\) | 5.55424 | + | 14.1520i | 0.176614 | + | 0.450006i | ||||
\(990\) | −0.747421 | + | 1.23134i | −0.0237546 | + | 0.0391346i | ||||
\(991\) | −13.5988 | + | 34.6492i | −0.431980 | + | 1.10067i | 0.534782 | + | 0.844990i | \(0.320394\pi\) |
−0.966762 | + | 0.255677i | \(0.917702\pi\) | |||||||
\(992\) | −9.82254 | + | 9.11399i | −0.311866 | + | 0.289369i | ||||
\(993\) | −7.52973 | + | 9.23227i | −0.238949 | + | 0.292977i | ||||
\(994\) | −0.946614 | + | 6.80312i | −0.0300248 | + | 0.215782i | ||||
\(995\) | −8.41352 | − | 1.26813i | −0.266726 | − | 0.0402025i | ||||
\(996\) | 2.19241 | − | 9.14192i | 0.0694692 | − | 0.289673i | ||||
\(997\) | 12.6136 | + | 55.2639i | 0.399477 | + | 1.75023i | 0.629462 | + | 0.777031i | \(0.283275\pi\) |
−0.229985 | + | 0.973194i | \(0.573868\pi\) | |||||||
\(998\) | −5.38404 | − | 9.32542i | −0.170429 | − | 0.295191i | ||||
\(999\) | −24.7489 | + | 2.90073i | −0.783019 | + | 0.0917752i |
(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 | 441.2.z.a.142.38 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.38 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.38 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.38 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.38 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.38 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.38 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.38 | yes | 648 | 441.382 | even | 21 | inner |